diff --git a/.gitignore b/.gitignore index dcbe863..0cf7519 100755 --- a/.gitignore +++ b/.gitignore @@ -2,10 +2,15 @@ *.pyc # Setuptools distribution folder +/acc/ /dist/ /datasets_big/ /benchmark/ /try/ +/develop/ +/develop_HtH/ +/develop_os/ +/develop_solver/ # HTML documentation _build/ diff --git a/acc/__init__.py b/acc/__init__.py deleted file mode 100644 index 2f51714..0000000 --- a/acc/__init__.py +++ /dev/null @@ -1,8 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sat Feb 21 20:46:31 2015 - -@author: akusok -""" - -#from gpu_solver import GPUSolver, gpu_solve diff --git a/acc/build/temp.linux-x86_64-2.7/cuda_code.o b/acc/build/temp.linux-x86_64-2.7/cuda_code.o deleted file mode 100644 index 4c37537..0000000 Binary files a/acc/build/temp.linux-x86_64-2.7/cuda_code.o and /dev/null differ diff --git a/acc/build/temp.linux-x86_64-2.7/cuda_solver.o b/acc/build/temp.linux-x86_64-2.7/cuda_solver.o deleted file mode 100644 index e22ee42..0000000 Binary files a/acc/build/temp.linux-x86_64-2.7/cuda_solver.o and /dev/null differ diff --git a/acc/build/temp.linux-x86_64-2.7/gpu_code.o b/acc/build/temp.linux-x86_64-2.7/gpu_code.o deleted file mode 100644 index 4a062dd..0000000 Binary files a/acc/build/temp.linux-x86_64-2.7/gpu_code.o and /dev/null differ diff --git a/acc/build/temp.linux-x86_64-2.7/gpu_solver.o b/acc/build/temp.linux-x86_64-2.7/gpu_solver.o deleted file mode 100644 index ffbc263..0000000 Binary files a/acc/build/temp.linux-x86_64-2.7/gpu_solver.o and /dev/null differ diff --git a/acc/cuda_code b/acc/cuda_code deleted file mode 100755 index 55c26ee..0000000 Binary files a/acc/cuda_code and /dev/null differ diff --git a/acc/cuda_code (copy).cpp b/acc/cuda_code (copy).cpp deleted file mode 100644 index 85c50af..0000000 --- a/acc/cuda_code (copy).cpp +++ /dev/null @@ -1,152 +0,0 @@ -#include -#include -#include -#include "cublas_v2.h" - -// H_(N,L), T_(N,C), HH(L,L), HT(L,C) - -class CudaSolver { - int L, C; - double* devHH; - double* devHT; - double* one; - cublasHandle_t handle; - public: - CudaSolver( int, int, double*, double* ); - void get_corr( double* HH, double* HT ); - void add_data( int N, double* H, double* T ); - void finalize(); -}; - - -// init a zero matrix on GPU to store X'*X, add normalization -CudaSolver::CudaSolver ( int nL, int nC, double* HH, double* HT ) { - cudaError_t cudaStat; - cublasStatus_t stat; - double* ones; - - L = nL; - C = nC; - - - cudaStat = cudaMalloc((void**)&devHH, L*L*sizeof(*HH)); - if (cudaStat != cudaSuccess) { printf ("devHH device memory allocation failed"); } - fprintf(stdout, "Allocating devHH success\n"); - - cudaStat = cudaMalloc((void**)&devHT, L*C*sizeof(*HT)); - if (cudaStat != cudaSuccess) { printf ("devHT device memory allocation failed"); } - fprintf(stdout, "Allocating devHT success\n"); - - stat = cublasCreate(&handle); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("CUBLAS initialization failed\n"); } - fprintf(stdout, "CUBLAS initialization success\n"); - - stat = cublasSetPointerMode(handle, CUBLAS_POINTER_MODE_DEVICE); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("Setting pointer mode failed"); } - fprintf(stdout, "Setting pointer mode success\n"); - - stat = cublasSetMatrix (L, L, sizeof(*HH), HH, L, devHH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHH upload failed"); } - fprintf(stdout, "devHH upload success\n"); - - stat = cublasSetMatrix (C, L, sizeof(*HT), HT, C, devHT, C); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHT upload failed"); } - fprintf(stdout, "devHT upload success\n"); - - - ones = (double*) malloc (1*sizeof(double)); - ones[0] = 1.0; - cudaMalloc((void**)&one, 1*sizeof(double)); - cublasSetVector(1, sizeof(*ones), ones, 1, one, 1); - fprintf(stdout, "here\n"); - -}; - - -// update covariance matrices with new data -void CudaSolver::add_data ( int N, double* H, double* T ) { - cudaError_t cudaStat; - cublasStatus_t stat; - double* devH; - double* devT; - - cudaStat = cudaMalloc((void**)&devH, N*L*sizeof(*H)); - if (cudaStat != cudaSuccess) { printf ("devH device memory allocation failed"); goto cleanup; } - fprintf(stdout, "Allocating devH success\n"); - - cudaStat = cudaMalloc((void**)&devT, N*C*sizeof(*T)); - if (cudaStat != cudaSuccess) { printf ("devT device memory allocation failed"); goto cleanup; } - fprintf(stdout, "Allocating devT success\n"); - - stat = cublasSetMatrix (N, L, sizeof(*H), H, N, devH, N); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devH upload failed"); } - fprintf(stdout, "devH upload success\n"); - - stat = cublasSetMatrix (N, C, sizeof(*T), T, N, devT, N); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devT upload failed"); } - fprintf(stdout, "devT upload success\n"); - - - stat = cublasDsyrk(handle, CUBLAS_FILL_MODE_UPPER, CUBLAS_OP_N, - L, N, one, devH, L, one, devHH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("H'H update failed"); } - fprintf(stdout, "H'H update success\n"); - -// -// stat = cublasDgemm(handle, CUBLAS_OP_N, CUBLAS_OP_T, -// L, C, N, -// one, devH, L,//L -// devT, C,//C -// one, devHT, L); - - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("H'T update failed\n"); } - fprintf(stdout, "H'T update success\n"); - - - cleanup: - cudaFree (devH); - fprintf(stdout, "devH freed success\n"); - cudaFree (devT); - fprintf(stdout, "devT freed success\n"); - - -}; - - -// return current covariance matrices -void CudaSolver::get_corr ( double* HH, double* HT ) { - cublasStatus_t stat; - - stat = cublasGetMatrix (L, L, sizeof(*HH), devHH, L, HH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHH download failed"); } - - stat = cublasGetMatrix (L, C, sizeof(*HT), devHT, L, HT, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHT download failed"); } -}; - - -// free memory -void CudaSolver::finalize( ) { - fprintf(stdout, "Solver finalized\n"); - cudaFree (devHH); - cudaFree (devHT); - cudaFree (one); - cublasDestroy(handle); -} - - - - - - - - - - - - - - - - - diff --git a/acc/cuda_code.cpp b/acc/cuda_code.cpp deleted file mode 100644 index ead2cb2..0000000 --- a/acc/cuda_code.cpp +++ /dev/null @@ -1,138 +0,0 @@ -#include -#include -#include -#include "cublas_v2.h" - -// H_(N,L), T_(N,C), HH(L,L), HT(L,C) - -class CudaSolver { - int L, C; - double* devHH; - double* devHT; - double* one; - double* ones; - cublasHandle_t handle; - public: - CudaSolver( int, int, double*, double* ); - void get_corr( double* HH, double* HT ); - void add_data( int N, double* H, double* T ); - void finalize(); -}; - - -// init a zero matrix on GPU to store X'*X, add normalization -CudaSolver::CudaSolver ( int nL, int nC, double* HH, double* HT ) { - cudaError_t cudaStat; - cublasStatus_t stat; - - L = nL; - C = nC; - - - cudaStat = cudaMalloc((void**)&devHH, L*L*sizeof(*HH)); - if (cudaStat != cudaSuccess) { printf ("devHH device memory allocation failed"); } - fprintf(stdout, "Allocating devHH success\n"); - - cudaStat = cudaMalloc((void**)&devHT, L*C*sizeof(*HT)); - if (cudaStat != cudaSuccess) { printf ("devHT device memory allocation failed"); } - fprintf(stdout, "Allocating devHT success\n"); - - stat = cublasCreate(&handle); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("CUBLAS initialization failed\n"); } - fprintf(stdout, "CUBLAS initialization success\n"); - - stat = cublasSetMatrix (L, L, sizeof(*HH), HH, L, devHH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHH upload failed"); } - fprintf(stdout, "devHH upload success\n"); - - stat = cublasSetMatrix (C, L, sizeof(*HT), HT, C, devHT, C); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHT upload failed"); } - fprintf(stdout, "devHT upload success\n"); -}; - - -// update covariance matrices with new data -void CudaSolver::add_data ( int N, double* H, double* T ) { - cudaError_t cudaStat; - cublasStatus_t stat; - double* devH; - double* devT; - double one = 1.0; - - cudaStat = cudaMalloc((void**)&devH, N*L*sizeof(*H)); - if (cudaStat != cudaSuccess) { printf ("devH device memory allocation failed"); goto cleanup1; } -// fprintf(stdout, "Allocating devH success\n"); - - cudaStat = cudaMalloc((void**)&devT, N*C*sizeof(*T)); - if (cudaStat != cudaSuccess) { printf ("devT device memory allocation failed"); goto cleanup2; } -// fprintf(stdout, "Allocating devT success\n"); - - stat = cublasSetMatrix (N, L, sizeof(*H), H, N, devH, N); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devH upload failed"); } -// fprintf(stdout, "devH upload success\n"); - - stat = cublasSetMatrix (N, C, sizeof(*T), T, N, devT, N); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devT upload failed"); } -// fprintf(stdout, "devT upload success\n"); - - - stat = cublasDsyrk(handle, CUBLAS_FILL_MODE_UPPER, CUBLAS_OP_T, - L, N, &one, devH, N, &one, devHH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("H'H update failed\n"); } -// fprintf(stdout, "H'H update success\n"); - - stat = cublasDgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N, - L, C, N, - &one, devH, N, - devT, N, - &one, devHT, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("H'T update failed\n"); } -// fprintf(stdout, "H'T update success\n"); - - - cleanup2: - cudaFree (devT); -// fprintf(stdout, "devT freed success\n"); - cleanup1: - cudaFree (devH); -// fprintf(stdout, "devH freed success\n"); - -}; - - -// return current covariance matrices -void CudaSolver::get_corr ( double* HH, double* HT ) { - cublasStatus_t stat; - - stat = cublasGetMatrix (L, L, sizeof(*HH), devHH, L, HH, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHH download failed"); } - - stat = cublasGetMatrix (L, C, sizeof(*HT), devHT, L, HT, L); - if (stat != CUBLAS_STATUS_SUCCESS) { printf ("devHT download failed"); } -}; - - -// free memory -void CudaSolver::finalize( ) { - fprintf(stdout, "Solver finalized\n"); - cudaFree (devHH); - cudaFree (devHT); - cublasDestroy(handle); -} - - - - - - - - - - - - - - - - - diff --git a/acc/cuda_code.h b/acc/cuda_code.h deleted file mode 100644 index 0bf22aa..0000000 --- a/acc/cuda_code.h +++ /dev/null @@ -1,12 +0,0 @@ -#include -#include -#include -#include "cublas_v2.h" - -class CudaSolver { - public: - CudaSolver( int, int, double* HH, double* HT ); - void get_corr( double* HH, double* HT ); - void add_data( int N, double* H, double* T ); - void finalize(); -}; diff --git a/acc/cuda_solver.c b/acc/cuda_solver.c deleted file mode 100644 index 06f2230..0000000 --- a/acc/cuda_solver.c +++ /dev/null @@ -1 +0,0 @@ -#error Do not use this file, it is the result of a failed Cython compilation. diff --git a/acc/cuda_solver.cpp b/acc/cuda_solver.cpp deleted file mode 100644 index 2def55c..0000000 --- a/acc/cuda_solver.cpp +++ /dev/null @@ -1,6983 +0,0 @@ -/* Generated by Cython 0.22.1 */ - 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- } else { - size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); - } - if (ctx->enc_packmode == '@') { - size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); - size_t align_mod_offset; - if (align_at == 0) return -1; - align_mod_offset = ctx->fmt_offset % align_at; - if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; - if (ctx->struct_alignment == 0) - ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, - ctx->is_complex); - } - if (type->size != size || type->typegroup != group) { - if (type->typegroup == 'C' && type->fields != NULL) { - size_t parent_offset = ctx->head->parent_offset + field->offset; - ++ctx->head; - ctx->head->field = type->fields; - ctx->head->parent_offset = parent_offset; - continue; - } - if ((type->typegroup == 'H' || group == 'H') && type->size == size) { - } else { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - } - offset = ctx->head->parent_offset + field->offset; - if (ctx->fmt_offset != offset) { - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", - (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); - return -1; - } - ctx->fmt_offset += size; - if (arraysize) - ctx->fmt_offset += (arraysize - 1) * size; - --ctx->enc_count; - while (1) { - if (field == &ctx->root) { - ctx->head = NULL; - if (ctx->enc_count != 0) { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - break; - } - ctx->head->field = ++field; - if (field->type == NULL) { - --ctx->head; - field = ctx->head->field; - continue; - } else if (field->type->typegroup == 'S') { - size_t parent_offset = ctx->head->parent_offset + field->offset; - if (field->type->fields->type == NULL) continue; - field = field->type->fields; - ++ctx->head; - ctx->head->field = field; - ctx->head->parent_offset = parent_offset; - break; - } else { - break; - } - } - } while (ctx->enc_count); - ctx->enc_type = 0; - ctx->is_complex = 0; - return 0; -} -static CYTHON_INLINE PyObject * -__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) -{ - const char *ts = *tsp; - int i = 0, number; - int ndim = ctx->head->field->type->ndim; -; - ++ts; - if (ctx->new_count != 1) { - PyErr_SetString(PyExc_ValueError, - "Cannot handle repeated arrays in format string"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - while (*ts && *ts != ')') { - switch (*ts) { - case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; - default: break; - } - number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) - return PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %d", - ctx->head->field->type->arraysize[i], number); - if (*ts != ',' && *ts != ')') - return PyErr_Format(PyExc_ValueError, - "Expected a comma in format string, got '%c'", *ts); - if (*ts == ',') ts++; - i++; - } - if (i != ndim) - return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", - ctx->head->field->type->ndim, i); - if (!*ts) { - PyErr_SetString(PyExc_ValueError, - "Unexpected end of format string, expected ')'"); - return NULL; - } - ctx->is_valid_array = 1; - ctx->new_count = 1; - *tsp = ++ts; - return Py_None; -} -static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { - int got_Z = 0; - while (1) { - switch(*ts) { - case 0: - if (ctx->enc_type != 0 && ctx->head == NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - if (ctx->head != NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - return ts; - case ' ': - case '\r': - case '\n': - ++ts; - break; - case '<': - if (!__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '>': - case '!': - if (__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '=': - case '@': - case '^': - ctx->new_packmode = *ts++; - break; - case 'T': - { - const char* ts_after_sub; - size_t i, struct_count = ctx->new_count; - size_t struct_alignment = ctx->struct_alignment; - ctx->new_count = 1; - ++ts; - if (*ts != '{') { - PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - ctx->enc_count = 0; - ctx->struct_alignment = 0; - ++ts; - ts_after_sub = ts; - for (i = 0; i != struct_count; ++i) { - ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); - if (!ts_after_sub) return NULL; - } - ts = ts_after_sub; - if (struct_alignment) ctx->struct_alignment = struct_alignment; - } - break; - case '}': - { - size_t alignment = ctx->struct_alignment; - ++ts; - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - if (alignment && ctx->fmt_offset % alignment) { - ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); - } - } - return ts; - case 'x': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->fmt_offset += ctx->new_count; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->enc_packmode = ctx->new_packmode; - ++ts; - break; - case 'Z': - got_Z = 1; - ++ts; - if (*ts != 'f' && *ts != 'd' && *ts != 'g') { - __Pyx_BufFmt_RaiseUnexpectedChar('Z'); - return NULL; - } - case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': - case 'l': case 'L': case 'q': case 'Q': - case 'f': case 'd': case 'g': - case 'O': case 'p': - if (ctx->enc_type == *ts && got_Z == ctx->is_complex && - ctx->enc_packmode == ctx->new_packmode) { - ctx->enc_count += ctx->new_count; - ctx->new_count = 1; - got_Z = 0; - ++ts; - break; - } - case 's': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_count = ctx->new_count; - ctx->enc_packmode = ctx->new_packmode; - ctx->enc_type = *ts; - ctx->is_complex = got_Z; - ++ts; - ctx->new_count = 1; - got_Z = 0; - break; - case ':': - ++ts; - while(*ts != ':') ++ts; - ++ts; - break; - case '(': - if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; - break; - default: - { - int number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - ctx->new_count = (size_t)number; - } - } - } -} -static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { - buf->buf = NULL; - buf->obj = NULL; - buf->strides = __Pyx_zeros; - buf->shape = __Pyx_zeros; - buf->suboffsets = __Pyx_minusones; -} -static CYTHON_INLINE int __Pyx_GetBufferAndValidate( - Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, - int nd, int cast, __Pyx_BufFmt_StackElem* stack) -{ - if (obj == Py_None || obj == NULL) { - __Pyx_ZeroBuffer(buf); - return 0; - } - buf->buf = NULL; - if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; - if (buf->ndim != nd) { - PyErr_Format(PyExc_ValueError, - "Buffer has wrong number of dimensions (expected %d, got %d)", - nd, buf->ndim); - goto fail; - } - if (!cast) { - __Pyx_BufFmt_Context ctx; - __Pyx_BufFmt_Init(&ctx, stack, dtype); - if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; - } - if ((unsigned)buf->itemsize != dtype->size) { - PyErr_Format(PyExc_ValueError, - "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", - buf->itemsize, (buf->itemsize > 1) ? "s" : "", - dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); - goto fail; - } - if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; - return 0; -fail:; - __Pyx_ZeroBuffer(buf); - return -1; -} -static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { - if (info->buf == NULL) return; - if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; - __Pyx_ReleaseBuffer(info); -} - -static void __Pyx_RaiseBufferIndexError(int axis) { - PyErr_Format(PyExc_IndexError, - "Out of bounds on buffer access (axis %d)", axis); -} - -static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyThreadState *tstate = PyThreadState_GET(); - tmp_type = tstate->curexc_type; - tmp_value = tstate->curexc_value; - tmp_tb = tstate->curexc_traceback; - tstate->curexc_type = type; - tstate->curexc_value = value; - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_type); - Py_XDECREF(tmp_value); - Py_XDECREF(tmp_tb); -#else - PyErr_Restore(type, value, tb); -#endif -} -static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - *type = tstate->curexc_type; - *value = tstate->curexc_value; - *tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; -#else - PyErr_Fetch(type, value, tb); -#endif -} - -static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) { - PyErr_Format(PyExc_TypeError, - "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)", - name, type->tp_name, Py_TYPE(obj)->tp_name); -} -static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, - const char *name, int exact) -{ - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (none_allowed && obj == Py_None) return 1; - else if (exact) { - if (likely(Py_TYPE(obj) == type)) return 1; - #if PY_MAJOR_VERSION == 2 - else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1; - #endif - } - else { - if (likely(PyObject_TypeCheck(obj, type))) return 1; - } - __Pyx_RaiseArgumentTypeInvalid(name, obj, type); - return 0; -} - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) { -#ifdef __Pyx_CyFunction_USED - if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) { -#else - if (likely(PyCFunction_Check(func))) { -#endif - if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) { - return __Pyx_PyObject_CallMethO(func, NULL); - } - } - return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL); -} -#endif - -static void __Pyx_RaiseBufferFallbackError(void) { - PyErr_SetString(PyExc_ValueError, - "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!"); -} - -#if PY_MAJOR_VERSION < 3 -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, - CYTHON_UNUSED PyObject *cause) { - Py_XINCREF(type); - if (!value || value == Py_None) - value = NULL; - else - Py_INCREF(value); - if (!tb || tb == Py_None) - tb = NULL; - else { - Py_INCREF(tb); - if (!PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto raise_error; - } - } - if (PyType_Check(type)) { -#if CYTHON_COMPILING_IN_PYPY - if (!value) { - Py_INCREF(Py_None); - value = Py_None; - } -#endif - PyErr_NormalizeException(&type, &value, &tb); - } else { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto raise_error; - } - value = type; - type = (PyObject*) Py_TYPE(type); - Py_INCREF(type); - if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto raise_error; - } - } - __Pyx_ErrRestore(type, value, tb); - return; -raise_error: - Py_XDECREF(value); - Py_XDECREF(type); - Py_XDECREF(tb); - return; -} -#else -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { - PyObject* owned_instance = NULL; - if (tb == Py_None) { - tb = 0; - } else if (tb && !PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto bad; - } - if (value == Py_None) - value = 0; - if (PyExceptionInstance_Check(type)) { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto bad; - } - value = type; - type = (PyObject*) Py_TYPE(value); - } else if (PyExceptionClass_Check(type)) { - PyObject *instance_class = NULL; - if (value && PyExceptionInstance_Check(value)) { - instance_class = (PyObject*) Py_TYPE(value); - if (instance_class != type) { - int is_subclass = PyObject_IsSubclass(instance_class, type); - if (!is_subclass) { - instance_class = NULL; - } else if (unlikely(is_subclass == -1)) { - goto bad; - } else { - type = instance_class; - } - } - } - if (!instance_class) { - PyObject *args; - if (!value) - args = PyTuple_New(0); - else if (PyTuple_Check(value)) { - Py_INCREF(value); - args = value; - } else - args = PyTuple_Pack(1, value); - if (!args) - goto bad; - owned_instance = PyObject_Call(type, args, NULL); - Py_DECREF(args); - if (!owned_instance) - goto bad; - value = owned_instance; - if (!PyExceptionInstance_Check(value)) { - PyErr_Format(PyExc_TypeError, - "calling %R should have returned an instance of " - "BaseException, not %R", - type, Py_TYPE(value)); - goto bad; - } - } - } else { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto bad; - } -#if PY_VERSION_HEX >= 0x03030000 - if (cause) { -#else - if (cause && cause != Py_None) { -#endif - PyObject *fixed_cause; - if (cause == Py_None) { - fixed_cause = NULL; - } else if (PyExceptionClass_Check(cause)) { - fixed_cause = PyObject_CallObject(cause, NULL); - if (fixed_cause == NULL) - goto bad; - } else if (PyExceptionInstance_Check(cause)) { - fixed_cause = cause; - Py_INCREF(fixed_cause); - } else { - PyErr_SetString(PyExc_TypeError, - "exception causes must derive from " - "BaseException"); - goto bad; - } - PyException_SetCause(value, fixed_cause); - } - PyErr_SetObject(type, value); - if (tb) { -#if CYTHON_COMPILING_IN_PYPY - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb); - Py_INCREF(tb); - PyErr_Restore(tmp_type, tmp_value, tb); - Py_XDECREF(tmp_tb); -#else - PyThreadState *tstate = PyThreadState_GET(); - PyObject* tmp_tb = tstate->curexc_traceback; - if (tb != tmp_tb) { - Py_INCREF(tb); - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_tb); - } -#endif - } -bad: - Py_XDECREF(owned_instance); - return; -} -#endif - -static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { - PyErr_Format(PyExc_ValueError, - "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); -} - -static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { - PyErr_Format(PyExc_ValueError, - "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", - index, (index == 1) ? "" : "s"); -} - -static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { - PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); -} - -static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { - int start = 0, mid = 0, end = count - 1; - if (end >= 0 && code_line > entries[end].code_line) { - return count; - } - while (start < end) { - mid = (start + end) / 2; - if (code_line < entries[mid].code_line) { - end = mid; - } else if (code_line > entries[mid].code_line) { - start = mid + 1; - } else { - return mid; - } - } - if (code_line <= entries[mid].code_line) { - return mid; - } else { - return mid + 1; - } -} -static PyCodeObject *__pyx_find_code_object(int code_line) { - PyCodeObject* code_object; - int pos; - if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { - return NULL; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { - return NULL; - } - code_object = __pyx_code_cache.entries[pos].code_object; - Py_INCREF(code_object); - return code_object; -} -static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { - int pos, i; - __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; - if (unlikely(!code_line)) { - return; - } - if (unlikely(!entries)) { - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); - if (likely(entries)) { - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = 64; - __pyx_code_cache.count = 1; - entries[0].code_line = code_line; - entries[0].code_object = code_object; - Py_INCREF(code_object); - } - return; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { - PyCodeObject* tmp = entries[pos].code_object; - entries[pos].code_object = code_object; - Py_DECREF(tmp); - return; - } - if (__pyx_code_cache.count == __pyx_code_cache.max_count) { - int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #else - py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #endif - } - else { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromString(funcname); - #else - py_funcname = PyUnicode_FromString(funcname); - #endif - } - if (!py_funcname) goto bad; - py_code = __Pyx_PyCode_New( - 0, - 0, - 0, - 0, - 0, - __pyx_empty_bytes, /*PyObject *code,*/ - __pyx_empty_tuple, /*PyObject *consts,*/ - __pyx_empty_tuple, /*PyObject *names,*/ - __pyx_empty_tuple, /*PyObject *varnames,*/ - __pyx_empty_tuple, /*PyObject *freevars,*/ - __pyx_empty_tuple, /*PyObject *cellvars,*/ - py_srcfile, /*PyObject *filename,*/ - py_funcname, /*PyObject *name,*/ - py_line, - __pyx_empty_bytes /*PyObject *lnotab*/ - ); - Py_DECREF(py_srcfile); - Py_DECREF(py_funcname); - return py_code; -bad: - Py_XDECREF(py_srcfile); - Py_XDECREF(py_funcname); - return NULL; -} -static void __Pyx_AddTraceback(const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyFrameObject *py_frame = 0; - py_code = __pyx_find_code_object(c_line ? c_line : py_line); - if (!py_code) { - py_code = __Pyx_CreateCodeObjectForTraceback( - funcname, c_line, py_line, filename); - if (!py_code) goto bad; - __pyx_insert_code_object(c_line ? c_line : py_line, py_code); - } - py_frame = PyFrame_New( - PyThreadState_GET(), /*PyThreadState *tstate,*/ - py_code, /*PyCodeObject *code,*/ - __pyx_d, /*PyObject *globals,*/ - 0 /*PyObject *locals*/ - ); - if (!py_frame) goto bad; - py_frame->f_lineno = py_line; - PyTraceBack_Here(py_frame); -bad: - Py_XDECREF(py_code); - Py_XDECREF(py_frame); -} - -#if PY_MAJOR_VERSION < 3 -static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { - if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); - PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); - return -1; -} -static void __Pyx_ReleaseBuffer(Py_buffer *view) { - PyObject *obj = view->obj; - if (!obj) return; - if (PyObject_CheckBuffer(obj)) { - PyBuffer_Release(view); - return; - } - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; } - Py_DECREF(obj); - view->obj = NULL; -} -#endif - - - static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { - PyObject *empty_list = 0; - PyObject *module = 0; - PyObject *global_dict = 0; - PyObject *empty_dict = 0; - PyObject *list; - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_import; - py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); - if (!py_import) - goto bad; - #endif - if (from_list) - list = from_list; - else { - empty_list = PyList_New(0); - if (!empty_list) - goto bad; - list = empty_list; - } - global_dict = PyModule_GetDict(__pyx_m); - if (!global_dict) - goto bad; - empty_dict = PyDict_New(); - if (!empty_dict) - goto bad; - { - #if PY_MAJOR_VERSION >= 3 - if (level == -1) { - if (strchr(__Pyx_MODULE_NAME, '.')) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(1); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, 1); - #endif - if (!module) { - if (!PyErr_ExceptionMatches(PyExc_ImportError)) - goto bad; - PyErr_Clear(); - } - } - level = 0; - } - #endif - if (!module) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(level); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, level); - #endif - } - } -bad: - #if PY_VERSION_HEX < 0x03030000 - Py_XDECREF(py_import); - #endif - Py_XDECREF(empty_list); - Py_XDECREF(empty_dict); - return module; -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value) \ - { \ - func_type value = func_value; \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - if (is_unsigned && unlikely(value < zero)) \ - goto raise_neg_overflow; \ - else \ - goto raise_overflow; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif - -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif -#if CYTHON_COMPILING_IN_CPYTHON - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } -#else - { - int result = PyObject_RichCompareBool(x, Py_False, Py_LT); - if (unlikely(result < 0)) - return (int) -1; - if (unlikely(result == 1)) - goto raise_neg_overflow; - } -#endif - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { - __PYX_VERIFY_RETURN_INT(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x)) - } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { - __PYX_VERIFY_RETURN_INT(int, PY_LONG_LONG, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to int"); - return (int) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { - return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); - } - } else { - if (sizeof(int) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { - return PyLong_FromLongLong((PY_LONG_LONG) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(int), - little, !is_unsigned); - } -} - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return ::std::complex< float >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return x + y*(__pyx_t_float_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - __pyx_t_float_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrtf(z.real*z.real + z.imag*z.imag); - #else - return hypotf(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - float denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(a, a); - case 3: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, a); - case 4: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_absf(a); - theta = atan2f(a.imag, a.real); - } - lnr = logf(r); - z_r = expf(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cosf(z_theta); - z.imag = z_r * sinf(z_theta); - return z; - } - #endif -#endif - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return ::std::complex< double >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return x + y*(__pyx_t_double_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - __pyx_t_double_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrt(z.real*z.real + z.imag*z.imag); - #else - return hypot(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - double denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(a, a); - case 3: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, a); - case 4: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_abs(a); - theta = atan2(a.imag, a.real); - } - lnr = log(r); - z_r = exp(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cos(z_theta); - z.imag = z_r * sin(z_theta); - return z; - } - #endif -#endif - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { - return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { - return PyLong_FromLongLong((PY_LONG_LONG) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif -#if CYTHON_COMPILING_IN_CPYTHON - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } -#else - { - int result = PyObject_RichCompareBool(x, Py_False, Py_LT); - if (unlikely(result < 0)) - return (long) -1; - if (unlikely(result == 1)) - goto raise_neg_overflow; - } -#endif - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { - __PYX_VERIFY_RETURN_INT(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x)) - } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { - __PYX_VERIFY_RETURN_INT(long, PY_LONG_LONG, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to long"); - return (long) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - return PyErr_WarnEx(NULL, message, 1); - } - return 0; -} - -#ifndef __PYX_HAVE_RT_ImportModule -#define __PYX_HAVE_RT_ImportModule -static PyObject *__Pyx_ImportModule(const char *name) { - PyObject *py_name = 0; - PyObject *py_module = 0; - py_name = __Pyx_PyIdentifier_FromString(name); - if (!py_name) - goto bad; - py_module = PyImport_Import(py_name); - Py_DECREF(py_name); - return py_module; -bad: - Py_XDECREF(py_name); - return 0; -} -#endif - -#ifndef __PYX_HAVE_RT_ImportType -#define __PYX_HAVE_RT_ImportType -static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, - size_t size, int strict) -{ - PyObject *py_module = 0; - PyObject *result = 0; - PyObject *py_name = 0; - char warning[200]; - Py_ssize_t basicsize; -#ifdef Py_LIMITED_API - PyObject *py_basicsize; -#endif - py_module = __Pyx_ImportModule(module_name); - if (!py_module) - goto bad; - py_name = __Pyx_PyIdentifier_FromString(class_name); - if (!py_name) - goto bad; - result = PyObject_GetAttr(py_module, py_name); - Py_DECREF(py_name); 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- magmaDouble_ptr dA=NULL, dB=NULL; - public: - GpuSolver( int, int, magmaDouble_ptr A, magmaDouble_ptr B ); - void add_data( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ); - void get_corr( magmaDouble_ptr XX, magmaDouble_ptr XT ); - void solve( magmaDouble_ptr X ); - void finalize(); -}; - - - -// init a zero matrix on GPU to store X'*X, add normalization -GpuSolver::GpuSolver ( int nn, int outs, magmaDouble_ptr A, magmaDouble_ptr B ) { - - magma_init(); - - n = nn; - nrhs = outs; - - magma_dmalloc( &dA, n*n ); - magma_dmalloc( &dB, n*nrhs ); - if ( dA == NULL || dB == NULL ) { fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); } - - magma_dsetmatrix( n, n, A, n, dA, n ); - magma_dsetmatrix( n, nrhs, B, n, dB, n ); -}; - - -// update covariance matrices with new data -void GpuSolver::add_data ( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ) { - - // real_Double_t time; - magmaDouble_ptr dX=NULL, dT=NULL; - - magma_dmalloc( &dX, m*n ); - magma_dmalloc( &dT, m*nrhs ); - if ( dX == NULL || dT == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - magma_dsetmatrix( m, n, X, m, dX, m ); - magma_dsetmatrix( m, nrhs, T, m, dT, m ); - - // time = magma_sync_wtime( NULL ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, nrhs, m, - 1, dX, m, - dT, m, - 1, dB, n ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, n, m, - 1, dX, m, - dX, m, - 1, dA, n ); - // time = magma_sync_wtime( NULL ) - time; - // fprintf( stdout, "added data in %f sec\n", time ); - - cleanup: - magma_free( dX ); - magma_free( dT ); -}; - - - -// return current covariance matrices -void GpuSolver::get_corr ( magmaDouble_ptr XX, magmaDouble_ptr XT ) { - - magma_dgetmatrix( n, n, dA, n, XX, n ); - magma_dgetmatrix( n, nrhs, dB, n, XT, n ); -}; - - - -// free memory -void GpuSolver::finalize( ) { - magma_free( dA ); - magma_free( dB ); - magma_finalize(); -} - - -// Solve dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -void GpuSolver::solve( magmaDouble_ptr X ) -{ - - // real_Double_t gpu_time; - magmaDouble_ptr dX=NULL, dWORKD=NULL; - float *dWORKS=NULL; - magma_int_t qrsv_iters; - magma_int_t info = 0; - - magma_dmalloc( &dX, n*nrhs ); - magma_dmalloc( &dWORKD, n*nrhs ); - magma_smalloc( &dWORKS, n*(n+nrhs) ); - if ( dX == NULL || dWORKD == NULL || dWORKS == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - // gpu_time = magma_wtime(); - magma_dsposv_gpu( MagmaUpper, n, nrhs, - dA, n, dB, n, dX, n, - dWORKD, dWORKS, &qrsv_iters, &info ); - // gpu_time = magma_wtime() - gpu_time; - // fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); - if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } - if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } - - magma_dgetmatrix( n, nrhs, dX, n, X, n ); - -cleanup: - magma_free( dX ); - magma_free( dWORKD ); - magma_free( dWORKS ); -} - - - - -// ------------------------------------------------------------ -// ------------------------------------------------------------ - - -// Independent solver for dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -void solve_corr( magma_int_t n, magma_int_t nrhs, magmaDouble_ptr A, magmaDouble_ptr B, magmaDouble_ptr X ) -{ - magma_init(); - - real_Double_t gpu_time; - magmaDouble_ptr dA=NULL, dB=NULL, dX=NULL, dWORKD=NULL; - float *dWORKS=NULL; - magma_int_t qrsv_iters; - magma_int_t info = 0; - - magma_dmalloc( &dA, n*n ); - magma_dmalloc( &dB, n*nrhs ); - magma_dmalloc( &dX, n*nrhs ); - magma_dmalloc( &dWORKD, n*nrhs ); - magma_smalloc( &dWORKS, n*(n+nrhs) ); - if ( dA == NULL || dB == NULL || dX == NULL || dWORKD == NULL || dWORKS == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - // send data to GPU (round n to ldda) - magma_dsetmatrix( n, n, A, n, dA, n ); - magma_dsetmatrix( n, nrhs, B, n, dB, n ); - - gpu_time = magma_wtime(); - magma_dsposv_gpu( MagmaUpper, n, nrhs, - dA, n, dB, n, dX, n, - dWORKD, dWORKS, &qrsv_iters, &info ); - gpu_time = magma_wtime() - gpu_time; - fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); - if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } - if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } - - magma_dgetmatrix( n, nrhs, dX, n, X, n ); - -cleanup: - magma_free( dA ); - magma_free( dB ); - magma_free( dX ); - magma_free( dWORKD ); - magma_free( dWORKS ); - magma_finalize(); -} - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/acc/gpu_code.h b/acc/gpu_code.h deleted file mode 100644 index 179ea75..0000000 --- a/acc/gpu_code.h +++ /dev/null @@ -1,12 +0,0 @@ -#include "magma.h" - -class GpuSolver { - public: - GpuSolver( int, int, double* A, double* B ); - void add_data( int m, double* X, double* T ); - void get_corr( double* XX, double* XT ); - void solve( double* X ); - void finalize(); -}; - -void solve_corr( int n, int nrhs, double* A, double* B, double* X ); diff --git a/acc/gpu_solver.cpp b/acc/gpu_solver.cpp deleted file mode 100644 index 8cc4975..0000000 --- a/acc/gpu_solver.cpp +++ /dev/null @@ -1,7680 +0,0 @@ -/* Generated by Cython 0.22 */ - -#define PY_SSIZE_T_CLEAN -#ifndef CYTHON_USE_PYLONG_INTERNALS -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 0 -#else -#include "pyconfig.h" -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 1 -#else -#define CYTHON_USE_PYLONG_INTERNALS 0 -#endif -#endif -#endif -#include "Python.h" -#ifndef Py_PYTHON_H - #error Python headers needed to compile C extensions, please install development version of Python. -#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03020000) - #error Cython requires Python 2.6+ or Python 3.2+. -#else -#define CYTHON_ABI "0_22" -#include -#ifndef offsetof -#define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) -#endif -#if !defined(WIN32) && !defined(MS_WINDOWS) - #ifndef __stdcall - #define __stdcall - #endif - #ifndef __cdecl - #define __cdecl - #endif - #ifndef __fastcall - #define __fastcall - #endif -#endif -#ifndef DL_IMPORT - #define DL_IMPORT(t) t -#endif -#ifndef DL_EXPORT - #define DL_EXPORT(t) t -#endif -#ifndef PY_LONG_LONG - #define PY_LONG_LONG LONG_LONG -#endif -#ifndef Py_HUGE_VAL - #define Py_HUGE_VAL HUGE_VAL -#endif -#ifdef PYPY_VERSION -#define CYTHON_COMPILING_IN_PYPY 1 -#define CYTHON_COMPILING_IN_CPYTHON 0 -#else -#define CYTHON_COMPILING_IN_PYPY 0 -#define CYTHON_COMPILING_IN_CPYTHON 1 -#endif -#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag) -#define Py_OptimizeFlag 0 -#endif -#define __PYX_BUILD_PY_SSIZE_T "n" -#define CYTHON_FORMAT_SSIZE_T "z" -#if PY_MAJOR_VERSION < 3 - #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) - #define __Pyx_DefaultClassType PyClass_Type -#else - #define __Pyx_BUILTIN_MODULE_NAME "builtins" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) - #define __Pyx_DefaultClassType PyType_Type -#endif -#if PY_MAJOR_VERSION >= 3 - #define Py_TPFLAGS_CHECKTYPES 0 - #define Py_TPFLAGS_HAVE_INDEX 0 - #define Py_TPFLAGS_HAVE_NEWBUFFER 0 -#endif -#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE) - #define Py_TPFLAGS_HAVE_FINALIZE 0 -#endif -#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) - #define CYTHON_PEP393_ENABLED 1 - #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ? \ - 0 : _PyUnicode_Ready((PyObject *)(op))) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) - #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) - #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) - #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) -#else - #define CYTHON_PEP393_ENABLED 0 - #define __Pyx_PyUnicode_READY(op) (0) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) - #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) - #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) - #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) -#endif -#if CYTHON_COMPILING_IN_PYPY - #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) - #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) - #define __Pyx_PyFrozenSet_Size(s) PyObject_Size(s) -#else - #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) - #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \ - PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) - #define __Pyx_PyFrozenSet_Size(s) PySet_Size(s) -#endif -#define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None)) ? 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'C' : 'R'); - case 'O': - return 'O'; - case 'P': - return 'P'; - default: { - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } - } -} -static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { - if (ctx->head == NULL || ctx->head->field == &ctx->root) { - const char* expected; - const char* quote; - if (ctx->head == NULL) { - expected = "end"; - quote = ""; - } else { - expected = ctx->head->field->type->name; - quote = "'"; - } - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected %s%s%s but got %s", - quote, expected, quote, - __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); - } else { - __Pyx_StructField* field = ctx->head->field; - __Pyx_StructField* parent = (ctx->head - 1)->field; - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", - field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), - parent->type->name, field->name); - } -} -static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { - char group; - size_t size, offset, arraysize = 1; - if (ctx->enc_type == 0) return 0; - if (ctx->head->field->type->arraysize[0]) { - int i, ndim = 0; - if (ctx->enc_type == 's' || ctx->enc_type == 'p') { - ctx->is_valid_array = ctx->head->field->type->ndim == 1; - ndim = 1; - if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { - PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %zu", - ctx->head->field->type->arraysize[0], ctx->enc_count); - return -1; - } - } - if (!ctx->is_valid_array) { - PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", - ctx->head->field->type->ndim, ndim); - return -1; - } - for (i = 0; i < ctx->head->field->type->ndim; i++) { - arraysize *= ctx->head->field->type->arraysize[i]; - } - ctx->is_valid_array = 0; - ctx->enc_count = 1; - } - group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); - do { - __Pyx_StructField* field = ctx->head->field; - __Pyx_TypeInfo* type = field->type; - if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { - size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); - } else { - size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); - } - if (ctx->enc_packmode == '@') { - size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); - size_t align_mod_offset; - if (align_at == 0) return -1; - align_mod_offset = ctx->fmt_offset % align_at; - if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; - if (ctx->struct_alignment == 0) - ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, - ctx->is_complex); - } - if (type->size != size || type->typegroup != group) { - if (type->typegroup == 'C' && type->fields != NULL) { - size_t parent_offset = ctx->head->parent_offset + field->offset; - ++ctx->head; - ctx->head->field = type->fields; - ctx->head->parent_offset = parent_offset; - continue; - } - if ((type->typegroup == 'H' || group == 'H') && type->size == size) { - } else { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - } - offset = ctx->head->parent_offset + field->offset; - if (ctx->fmt_offset != offset) { - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", - (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); - return -1; - } - ctx->fmt_offset += size; - if (arraysize) - ctx->fmt_offset += (arraysize - 1) * size; - --ctx->enc_count; - while (1) { - if (field == &ctx->root) { - ctx->head = NULL; - if (ctx->enc_count != 0) { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - break; - } - ctx->head->field = ++field; - if (field->type == NULL) { - --ctx->head; - field = ctx->head->field; - continue; - } else if (field->type->typegroup == 'S') { - size_t parent_offset = ctx->head->parent_offset + field->offset; - if (field->type->fields->type == NULL) continue; - field = field->type->fields; - ++ctx->head; - ctx->head->field = field; - ctx->head->parent_offset = parent_offset; - break; - } else { - break; - } - } - } while (ctx->enc_count); - ctx->enc_type = 0; - ctx->is_complex = 0; - return 0; -} -static CYTHON_INLINE PyObject * -__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) -{ - const char *ts = *tsp; - int i = 0, number; - int ndim = ctx->head->field->type->ndim; -; - ++ts; - if (ctx->new_count != 1) { - PyErr_SetString(PyExc_ValueError, - "Cannot handle repeated arrays in format string"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - while (*ts && *ts != ')') { - switch (*ts) { - case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; - default: break; - } - number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) - return PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %d", - ctx->head->field->type->arraysize[i], number); - if (*ts != ',' && *ts != ')') - return PyErr_Format(PyExc_ValueError, - "Expected a comma in format string, got '%c'", *ts); - if (*ts == ',') ts++; - i++; - } - if (i != ndim) - return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", - ctx->head->field->type->ndim, i); - if (!*ts) { - PyErr_SetString(PyExc_ValueError, - "Unexpected end of format string, expected ')'"); - return NULL; - } - ctx->is_valid_array = 1; - ctx->new_count = 1; - *tsp = ++ts; - return Py_None; -} -static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { - int got_Z = 0; - while (1) { - switch(*ts) { - case 0: - if (ctx->enc_type != 0 && ctx->head == NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - if (ctx->head != NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - return ts; - case ' ': - case '\r': - case '\n': - ++ts; - break; - case '<': - if (!__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '>': - case '!': - if (__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '=': - case '@': - case '^': - ctx->new_packmode = *ts++; - break; - case 'T': - { - const char* ts_after_sub; - size_t i, struct_count = ctx->new_count; - size_t struct_alignment = ctx->struct_alignment; - ctx->new_count = 1; - ++ts; - if (*ts != '{') { - PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - ctx->enc_count = 0; - ctx->struct_alignment = 0; - ++ts; - ts_after_sub = ts; - for (i = 0; i != struct_count; ++i) { - ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); - if (!ts_after_sub) return NULL; - } - ts = ts_after_sub; - if (struct_alignment) ctx->struct_alignment = struct_alignment; - } - break; - case '}': - { - size_t alignment = ctx->struct_alignment; - ++ts; - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - if (alignment && ctx->fmt_offset % alignment) { - ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); - } - } - return ts; - case 'x': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->fmt_offset += ctx->new_count; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->enc_packmode = ctx->new_packmode; - ++ts; - break; - case 'Z': - got_Z = 1; - ++ts; - if (*ts != 'f' && *ts != 'd' && *ts != 'g') { - __Pyx_BufFmt_RaiseUnexpectedChar('Z'); - return NULL; - } - case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': - case 'l': case 'L': case 'q': case 'Q': - case 'f': case 'd': case 'g': - case 'O': case 'p': - if (ctx->enc_type == *ts && got_Z == ctx->is_complex && - ctx->enc_packmode == ctx->new_packmode) { - ctx->enc_count += ctx->new_count; - ctx->new_count = 1; - got_Z = 0; - ++ts; - break; - } - case 's': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_count = ctx->new_count; - ctx->enc_packmode = ctx->new_packmode; - ctx->enc_type = *ts; - ctx->is_complex = got_Z; - ++ts; - ctx->new_count = 1; - got_Z = 0; - break; - case ':': - ++ts; - while(*ts != ':') ++ts; - ++ts; - break; - case '(': - if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; - break; - default: - { - int number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - ctx->new_count = (size_t)number; - } - } - } -} -static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { - buf->buf = NULL; - buf->obj = NULL; - buf->strides = __Pyx_zeros; - buf->shape = __Pyx_zeros; - buf->suboffsets = __Pyx_minusones; -} -static CYTHON_INLINE int __Pyx_GetBufferAndValidate( - Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, - int nd, int cast, __Pyx_BufFmt_StackElem* stack) -{ - if (obj == Py_None || obj == NULL) { - __Pyx_ZeroBuffer(buf); - return 0; - } - buf->buf = NULL; - if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; - if (buf->ndim != nd) { - PyErr_Format(PyExc_ValueError, - "Buffer has wrong number of dimensions (expected %d, got %d)", - nd, buf->ndim); - goto fail; - } - if (!cast) { - __Pyx_BufFmt_Context ctx; - __Pyx_BufFmt_Init(&ctx, stack, dtype); - if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; - } - if ((unsigned)buf->itemsize != dtype->size) { - PyErr_Format(PyExc_ValueError, - "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", - buf->itemsize, (buf->itemsize > 1) ? "s" : "", - dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); - goto fail; - } - if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; - return 0; -fail:; - __Pyx_ZeroBuffer(buf); - return -1; -} -static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { - if (info->buf == NULL) return; - if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; - __Pyx_ReleaseBuffer(info); -} - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) { -#ifdef __Pyx_CyFunction_USED - if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) { -#else - if (likely(PyCFunction_Check(func))) { -#endif - if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) { - return __Pyx_PyObject_CallMethO(func, NULL); - } - } - return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL); -} -#endif - -static void __Pyx_RaiseBufferIndexError(int axis) { - PyErr_Format(PyExc_IndexError, - "Out of bounds on buffer access (axis %d)", axis); -} - -static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyThreadState *tstate = PyThreadState_GET(); - tmp_type = tstate->curexc_type; - tmp_value = tstate->curexc_value; - tmp_tb = tstate->curexc_traceback; - tstate->curexc_type = type; - tstate->curexc_value = value; - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_type); - Py_XDECREF(tmp_value); - Py_XDECREF(tmp_tb); -#else - PyErr_Restore(type, value, tb); -#endif -} -static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - *type = tstate->curexc_type; - *value = tstate->curexc_value; - *tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; -#else - PyErr_Fetch(type, value, tb); -#endif -} - -static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) { - PyErr_Format(PyExc_TypeError, - "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)", - name, type->tp_name, Py_TYPE(obj)->tp_name); -} -static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, - const char *name, int exact) -{ - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (none_allowed && obj == Py_None) return 1; - else if (exact) { - if (likely(Py_TYPE(obj) == type)) return 1; - #if PY_MAJOR_VERSION == 2 - else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1; - #endif - } - else { - if (likely(PyObject_TypeCheck(obj, type))) return 1; - } - __Pyx_RaiseArgumentTypeInvalid(name, obj, type); - return 0; -} - -static void __Pyx_RaiseBufferFallbackError(void) { - PyErr_SetString(PyExc_ValueError, - "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!"); -} - -#if PY_MAJOR_VERSION < 3 -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, - CYTHON_UNUSED PyObject *cause) { - Py_XINCREF(type); - if (!value || value == Py_None) - value = NULL; - else - Py_INCREF(value); - if (!tb || tb == Py_None) - tb = NULL; - else { - Py_INCREF(tb); - if (!PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto raise_error; - } - } - if (PyType_Check(type)) { -#if CYTHON_COMPILING_IN_PYPY - if (!value) { - Py_INCREF(Py_None); - value = Py_None; - } -#endif - PyErr_NormalizeException(&type, &value, &tb); - } else { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto raise_error; - } - value = type; - type = (PyObject*) Py_TYPE(type); - Py_INCREF(type); - if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto raise_error; - } - } - __Pyx_ErrRestore(type, value, tb); - return; -raise_error: - Py_XDECREF(value); - Py_XDECREF(type); - Py_XDECREF(tb); - return; -} -#else -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { - PyObject* owned_instance = NULL; - if (tb == Py_None) { - tb = 0; - } else if (tb && !PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto bad; - } - if (value == Py_None) - value = 0; - if (PyExceptionInstance_Check(type)) { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto bad; - } - value = type; - type = (PyObject*) Py_TYPE(value); - } else if (PyExceptionClass_Check(type)) { - PyObject *instance_class = NULL; - if (value && PyExceptionInstance_Check(value)) { - instance_class = (PyObject*) Py_TYPE(value); - if (instance_class != type) { - if (PyObject_IsSubclass(instance_class, type)) { - type = instance_class; - } else { - instance_class = NULL; - } - } - } - if (!instance_class) { - PyObject *args; - if (!value) - args = PyTuple_New(0); - else if (PyTuple_Check(value)) { - Py_INCREF(value); - args = value; - } else - args = PyTuple_Pack(1, value); - if (!args) - goto bad; - owned_instance = PyObject_Call(type, args, NULL); - Py_DECREF(args); - if (!owned_instance) - goto bad; - value = owned_instance; - if (!PyExceptionInstance_Check(value)) { - PyErr_Format(PyExc_TypeError, - "calling %R should have returned an instance of " - "BaseException, not %R", - type, Py_TYPE(value)); - goto bad; - } - } - } else { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto bad; - } -#if PY_VERSION_HEX >= 0x03030000 - if (cause) { -#else - if (cause && cause != Py_None) { -#endif - PyObject *fixed_cause; - if (cause == Py_None) { - fixed_cause = NULL; - } else if (PyExceptionClass_Check(cause)) { - fixed_cause = PyObject_CallObject(cause, NULL); - if (fixed_cause == NULL) - goto bad; - } else if (PyExceptionInstance_Check(cause)) { - fixed_cause = cause; - Py_INCREF(fixed_cause); - } else { - PyErr_SetString(PyExc_TypeError, - "exception causes must derive from " - "BaseException"); - goto bad; - } - PyException_SetCause(value, fixed_cause); - } - PyErr_SetObject(type, value); - if (tb) { -#if CYTHON_COMPILING_IN_PYPY - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyErr_Fetch(tmp_type, tmp_value, tmp_tb); - Py_INCREF(tb); - PyErr_Restore(tmp_type, tmp_value, tb); - Py_XDECREF(tmp_tb); -#else - PyThreadState *tstate = PyThreadState_GET(); - PyObject* tmp_tb = tstate->curexc_traceback; - if (tb != tmp_tb) { - Py_INCREF(tb); - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_tb); - } -#endif - } -bad: - Py_XDECREF(owned_instance); - return; -} -#endif - -static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { - PyErr_Format(PyExc_ValueError, - "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); -} - -static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { - PyErr_Format(PyExc_ValueError, - "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", - index, (index == 1) ? "" : "s"); -} - -static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { - PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); -} - -static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { - int start = 0, mid = 0, end = count - 1; - if (end >= 0 && code_line > entries[end].code_line) { - return count; - } - while (start < end) { - mid = (start + end) / 2; - if (code_line < entries[mid].code_line) { - end = mid; - } else if (code_line > entries[mid].code_line) { - start = mid + 1; - } else { - return mid; - } - } - if (code_line <= entries[mid].code_line) { - return mid; - } else { - return mid + 1; - } -} -static PyCodeObject *__pyx_find_code_object(int code_line) { - PyCodeObject* code_object; - int pos; - if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { - return NULL; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { - return NULL; - } - code_object = __pyx_code_cache.entries[pos].code_object; - Py_INCREF(code_object); - return code_object; -} -static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { - int pos, i; - __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; - if (unlikely(!code_line)) { - return; - } - if (unlikely(!entries)) { - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); - if (likely(entries)) { - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = 64; - __pyx_code_cache.count = 1; - entries[0].code_line = code_line; - entries[0].code_object = code_object; - Py_INCREF(code_object); - } - return; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { - PyCodeObject* tmp = entries[pos].code_object; - entries[pos].code_object = code_object; - Py_DECREF(tmp); - return; - } - if (__pyx_code_cache.count == __pyx_code_cache.max_count) { - int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #else - py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #endif - } - else { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromString(funcname); - #else - py_funcname = PyUnicode_FromString(funcname); - #endif - } - if (!py_funcname) goto bad; - py_code = __Pyx_PyCode_New( - 0, - 0, - 0, - 0, - 0, - __pyx_empty_bytes, /*PyObject *code,*/ - __pyx_empty_tuple, /*PyObject *consts,*/ - __pyx_empty_tuple, /*PyObject *names,*/ - __pyx_empty_tuple, /*PyObject *varnames,*/ - __pyx_empty_tuple, /*PyObject *freevars,*/ - __pyx_empty_tuple, /*PyObject *cellvars,*/ - py_srcfile, /*PyObject *filename,*/ - py_funcname, /*PyObject *name,*/ - py_line, - __pyx_empty_bytes /*PyObject *lnotab*/ - ); - Py_DECREF(py_srcfile); - Py_DECREF(py_funcname); - return py_code; -bad: - Py_XDECREF(py_srcfile); - Py_XDECREF(py_funcname); - return NULL; -} -static void __Pyx_AddTraceback(const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyFrameObject *py_frame = 0; - py_code = __pyx_find_code_object(c_line ? c_line : py_line); - if (!py_code) { - py_code = __Pyx_CreateCodeObjectForTraceback( - funcname, c_line, py_line, filename); - if (!py_code) goto bad; - __pyx_insert_code_object(c_line ? c_line : py_line, py_code); - } - py_frame = PyFrame_New( - PyThreadState_GET(), /*PyThreadState *tstate,*/ - py_code, /*PyCodeObject *code,*/ - __pyx_d, /*PyObject *globals,*/ - 0 /*PyObject *locals*/ - ); - if (!py_frame) goto bad; - py_frame->f_lineno = py_line; - PyTraceBack_Here(py_frame); -bad: - Py_XDECREF(py_code); - Py_XDECREF(py_frame); -} - -#if PY_MAJOR_VERSION < 3 -static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { - if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); - PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); - return -1; -} -static void __Pyx_ReleaseBuffer(Py_buffer *view) { - PyObject *obj = view->obj; - if (!obj) return; - if (PyObject_CheckBuffer(obj)) { - PyBuffer_Release(view); - return; - } - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; } - Py_DECREF(obj); - view->obj = NULL; -} -#endif - - - static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { - PyObject *empty_list = 0; - PyObject *module = 0; - PyObject *global_dict = 0; - PyObject *empty_dict = 0; - PyObject *list; - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_import; - py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); - if (!py_import) - goto bad; - #endif - if (from_list) - list = from_list; - else { - empty_list = PyList_New(0); - if (!empty_list) - goto bad; - list = empty_list; - } - global_dict = PyModule_GetDict(__pyx_m); - if (!global_dict) - goto bad; - empty_dict = PyDict_New(); - if (!empty_dict) - goto bad; - { - #if PY_MAJOR_VERSION >= 3 - if (level == -1) { - if (strchr(__Pyx_MODULE_NAME, '.')) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(1); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, 1); - #endif - if (!module) { - if (!PyErr_ExceptionMatches(PyExc_ImportError)) - goto bad; - PyErr_Clear(); - } - } - level = 0; - } - #endif - if (!module) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(level); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, level); - #endif - } - } -bad: - #if PY_VERSION_HEX < 0x03030000 - Py_XDECREF(py_import); - #endif - Py_XDECREF(empty_list); - Py_XDECREF(empty_dict); - return module; -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value) \ - { \ - func_type value = func_value; \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - if (is_unsigned && unlikely(value < zero)) \ - goto raise_neg_overflow; \ - else \ - goto raise_overflow; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif - -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(int) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x)) - } else if (sizeof(int) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to int"); - return (int) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(int) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(int) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(int), - little, !is_unsigned); - } -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(long) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return ::std::complex< float >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return x + y*(__pyx_t_float_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - __pyx_t_float_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrtf(z.real*z.real + z.imag*z.imag); - #else - return hypotf(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - float denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(a, a); - case 3: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, a); - case 4: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_absf(a); - theta = atan2f(a.imag, a.real); - } - lnr = logf(r); - z_r = expf(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cosf(z_theta); - z.imag = z_r * sinf(z_theta); - return z; - } - #endif -#endif - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return ::std::complex< double >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return x + y*(__pyx_t_double_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - __pyx_t_double_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrt(z.real*z.real + z.imag*z.imag); - #else - return hypot(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - double denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(a, a); - case 3: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, a); - case 4: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_abs(a); - theta = atan2(a.imag, a.real); - } - lnr = log(r); - z_r = exp(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cos(z_theta); - z.imag = z_r * sin(z_theta); - return z; - } - #endif -#endif - -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(long) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x)) - } else if (sizeof(long) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to long"); - return (long) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - return PyErr_WarnEx(NULL, message, 1); - } - return 0; -} - -#ifndef __PYX_HAVE_RT_ImportModule -#define __PYX_HAVE_RT_ImportModule -static PyObject *__Pyx_ImportModule(const char *name) { - PyObject *py_name = 0; - PyObject *py_module = 0; - py_name = __Pyx_PyIdentifier_FromString(name); - if (!py_name) - goto bad; - py_module = PyImport_Import(py_name); - Py_DECREF(py_name); - return py_module; -bad: - Py_XDECREF(py_name); - return 0; -} -#endif - -#ifndef __PYX_HAVE_RT_ImportType -#define __PYX_HAVE_RT_ImportType -static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, - size_t size, int strict) -{ - PyObject *py_module = 0; - PyObject *result = 0; - PyObject *py_name = 0; - char warning[200]; - Py_ssize_t basicsize; -#ifdef Py_LIMITED_API - PyObject *py_basicsize; -#endif - py_module = __Pyx_ImportModule(module_name); - if (!py_module) - goto bad; - py_name = __Pyx_PyIdentifier_FromString(class_name); - if (!py_name) - goto bad; - result = PyObject_GetAttr(py_module, py_name); - Py_DECREF(py_name); - py_name = 0; - Py_DECREF(py_module); - py_module = 0; - if (!result) - goto bad; - if (!PyType_Check(result)) { - PyErr_Format(PyExc_TypeError, - "%.200s.%.200s is not a type object", - module_name, class_name); - goto bad; - } -#ifndef Py_LIMITED_API - basicsize = ((PyTypeObject *)result)->tp_basicsize; -#else - py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); - if (!py_basicsize) - goto bad; - basicsize = PyLong_AsSsize_t(py_basicsize); - Py_DECREF(py_basicsize); - py_basicsize = 0; - if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) - goto bad; -#endif - if (!strict && (size_t)basicsize > size) { - PyOS_snprintf(warning, sizeof(warning), - "%s.%s size changed, may indicate binary incompatibility", - module_name, class_name); 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-#endif - if (likely(PyLong_CheckExact(b))) { - #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(b)) { - case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0]; - case 0: return 0; - case 1: return ((PyLongObject*)b)->ob_digit[0]; - } - #endif - #endif - return PyLong_AsSsize_t(b); - } - x = PyNumber_Index(b); - if (!x) return -1; - ival = PyInt_AsSsize_t(x); - Py_DECREF(x); - return ival; -} -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { - return PyInt_FromSize_t(ival); -} - - -#endif /* Py_PYTHON_H */ diff --git a/acc/gpu_solver.pyx b/acc/gpu_solver.pyx deleted file mode 100644 index 161a34b..0000000 --- a/acc/gpu_solver.pyx +++ /dev/null @@ -1,83 +0,0 @@ -""" -Created on Thu Mar 19 16:55:19 2015 - -@author: akusok -""" - -import cython - -import numpy as np -cimport numpy as np - -cdef extern from "gpu_code.h": - cdef void solve_corr (int n, int nrhs, double* A, double* B, double* X) - cdef cppclass GpuSolver: - GpuSolver( int, int, double* A, double* B) except + - void add_data( int m, double* X, double* T ) - void get_corr( double* XX, double* XT ) - void solve( double* X ) - void finalize() - - -cdef class GPUSolver: - - cdef GpuSolver *solverptr - cdef int n, nrhs - - def __init__(self, nn, outs, norm=1E-9): - self.n = nn - self.nrhs = outs - cdef np.ndarray[double, ndim=2, mode="c"] A = np.zeros((self.n, self.n)) - cdef np.ndarray[double, ndim=2, mode="c"] B = np.zeros((self.nrhs, self.n)) - A.ravel()[::self.n+1] += norm - self.solverptr = new GpuSolver( self.n, self.nrhs, &A[0,0], &B[0,0] ) - - def finalize(self): - self.solverptr.finalize() - - def add_data(self, - np.ndarray[double, ndim=2, mode="c"] X not None, - np.ndarray[double, ndim=2, mode="c"] T not None): - cdef int m = X.shape[0] - # seems to require Fortran ordering but in "c" mode - T = T.T.reshape(m, self.nrhs).copy() - X = X.T.reshape(m, self.n).copy() - self.solverptr.add_data( m, &X[0,0], &T[0,0] ) - - def get_corr(self): - cdef np.ndarray[double, ndim=2, mode="c"] XX = np.empty((self.n, self.n)) - cdef np.ndarray[double, ndim=2, mode="c"] XT = np.empty((self.nrhs, self.n)) - self.solverptr.get_corr( &XX[0,0], &XT[0,0] ) - XX = np.ascontiguousarray(XX.T) - XT = np.ascontiguousarray(XT.T) - return XX, XT - - def solve(self): - cdef np.ndarray[double, ndim=2, mode="c"] B = np.empty((self.nrhs, self.n)) - self.solverptr.solve( &B[0,0] ); - return B.T # transpose back - - -def gpu_solve(np.ndarray[double, ndim=2, mode="c"] XX not None, - np.ndarray[double, ndim=2, mode="c"] XT not None, - double norm): - cdef int n = XT.shape[0] - cdef int nrhs = XT.shape[1] - cdef np.ndarray[double, ndim=2, mode="c"] B = np.empty((nrhs, n)) - - XX.ravel()[::n+1] += norm - XT = XT.T.reshape(n,nrhs) # transpose and cast to 'c' ordering - solve_corr(n, nrhs, &XX[0,0], &XT[0,0], &B[0,0]) - B = B.reshape(nrhs,n).T - return B # transpose - - - - - - - - - - - diff --git a/acc/mic_code.cpp b/acc/mic_code.cpp deleted file mode 100644 index 902ac77..0000000 --- a/acc/mic_code.cpp +++ /dev/null @@ -1,237 +0,0 @@ -#include -#include -#include "magma.h" - -class GpuSolver { - int n, nrhs; - magmaDouble_ptr dA=NULL, dB=NULL; - magma_queue_t queue; - public: - GpuSolver( int, int, magmaDouble_ptr A, magmaDouble_ptr B ); - void add_data( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ); - void get_corr( magmaDouble_ptr XX, magmaDouble_ptr XT ); - void solve( magmaDouble_ptr X ); - void finalize(); -}; - - - -// init a zero matrix on GPU to store X'*X, add normalization -GpuSolver::GpuSolver ( int nn, int outs, magmaDouble_ptr A, magmaDouble_ptr B ) { - - magma_int_t err; - magma_int_t num = 0; - magma_device_t device; - magma_init(); - - err = magma_get_devices( &device, 1, &num ); - if ( err != MAGMA_SUCCESS or num < 1 ) { - fprintf( stderr, "magma_get_devices failed: %d\n", (int) err ); - exit(-1); - } - err = magma_queue_create( device, &queue ); - if ( err != MAGMA_SUCCESS ) { - fprintf( stderr, "magma_queue_create failed: %d\n", (int) err ); - exit(-1); - } - - n = nn; - nrhs = outs; - - magma_dmalloc( &dA, n*n ); - magma_dmalloc( &dB, n*nrhs ); - if ( dA == NULL || dB == NULL ) { fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); } - - magma_dsetmatrix( n, n, A, 0, n, dA, 0, n, queue ); - magma_dsetmatrix( n, nrhs, B, 0, n, dB, 0, n, queue ); -}; - - -// update covariance matrices with new data -void GpuSolver::add_data ( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ) { - - real_Double_t time; - magmaDouble_ptr dX=NULL, dT=NULL; - - magma_dmalloc( &dX, m*n ); - magma_dmalloc( &dT, m*nrhs ); - if ( dX == NULL || dT == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - magma_dsetmatrix( m, n, X, 0, m, dX, 0, m, queue ); - magma_dsetmatrix( m, nrhs, T, 0, m, dT, 0, m, queue ); - - // time = magma_sync_wtime( NULL ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, nrhs, m, - 1, dX, 0, m, - dT, 0, m, - 1, dB, 0, n, queue ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, n, m, - 1, dX, 0, m, - dX, 0, m, - 1, dA, 0, n, queue ); - // time = magma_sync_wtime( NULL ) - time; - // fprintf( stdout, "added data in %f sec\n", time ); - - cleanup: - magma_free( dX ); - magma_free( dT ); -}; - - - -// return current covariance matrices -void GpuSolver::get_corr ( magmaDouble_ptr XX, magmaDouble_ptr XT ) { - - magma_dgetmatrix( n, n, dA, 0, n, XX, 0, n, queue ); - magma_dgetmatrix( n, nrhs, dB, 0, n, XT, 0, n, queue ); -}; - - - -// free memory -void GpuSolver::finalize( ) { - magma_free( dA ); - magma_free( dB ); - magma_finalize(); -} - - -// Solve dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -void GpuSolver::solve( magmaDouble_ptr X ) -{ - - //real_Double_t gpu_time; - //magmaDouble_ptr dX=NULL, dWORKD=NULL; - //float *dWORKS=NULL; - magma_int_t qrsv_iters; - magma_int_t info = 0; - - //magma_dmalloc( &dX, n*nrhs ); - //magma_dmalloc( &dWORKD, n*nrhs ); - //magma_smalloc( &dWORKS, n*(n+nrhs) ); - //if ( dX == NULL || dWORKD == NULL || dWORKS == NULL ) { - // fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - // goto cleanup; - //} - - // gpu_time = magma_wtime(); - magma_dsposv_mic( MagmaUpper, n, nrhs, - dA, 0, n, dB, 0, n, - &info, queue ); - // gpu_time = magma_wtime() - gpu_time; - // fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); - if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } - if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } - - magma_dgetmatrix( n, nrhs, dB, 0, n, X, 0, n, queue ); - -//cleanup: - //magma_free( dX ); - //magma_free( dWORKD ); - //magma_free( dWORKS ); -} - - - - -// ------------------------------------------------------------ -// ------------------------------------------------------------ - - -// Independent solver for dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -//void solve_corr( magma_int_t n, magma_int_t nrhs, magmaDouble_ptr A, magmaDouble_ptr B, magmaDouble_ptr X ) -//{ -// magma_init(); -// -// real_Double_t gpu_time; -// magmaDouble_ptr dA=NULL, dB=NULL, dX=NULL, dWORKD=NULL; -// float *dWORKS=NULL; -// magma_int_t qrsv_iters; -// magma_int_t info = 0; -// -// magma_dmalloc( &dA, n*n ); -// magma_dmalloc( &dB, n*nrhs ); -// magma_dmalloc( &dX, n*nrhs ); -// magma_dmalloc( &dWORKD, n*nrhs ); -// magma_smalloc( &dWORKS, n*(n+nrhs) ); -// if ( dA == NULL || dB == NULL || dX == NULL || dWORKD == NULL || dWORKS == NULL ) { -// fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); -// goto cleanup; -// } -// -// // send data to GPU (round n to ldda) -// magma_dsetmatrix( n, n, A, n, dA, n ); -// magma_dsetmatrix( n, nrhs, B, n, dB, n ); -// -// gpu_time = magma_wtime(); -// magma_dsposv_gpu( MagmaUpper, n, nrhs, -// dA, n, dB, n, dX, n, -// dWORKD, dWORKS, &qrsv_iters, &info ); -// gpu_time = magma_wtime() - gpu_time; -// fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); -// if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } -// if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } -// -// magma_dgetmatrix( n, nrhs, dX, n, X, n ); -// -//cleanup: -// magma_free( dA ); -// magma_free( dB ); -// magma_free( dX ); -// magma_free( dWORKD ); -// magma_free( dWORKS ); -// magma_finalize(); -//} - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/acc/mic_code.h b/acc/mic_code.h deleted file mode 100644 index ce88d4e..0000000 --- a/acc/mic_code.h +++ /dev/null @@ -1,12 +0,0 @@ -#include "magma.h" - -class MicSolver { - public: - MicSolver( int, int, double* A, double* B ); - void add_data( int m, double* X, double* T ); - void get_corr( double* XX, double* XT ); - void solve( double* X ); - void finalize(); -}; - -void solve_corr( int n, int nrhs, double* A, double* B, double* X ); diff --git a/acc/mic_solver.pyx b/acc/mic_solver.pyx deleted file mode 100644 index 9357940..0000000 --- a/acc/mic_solver.pyx +++ /dev/null @@ -1,83 +0,0 @@ -""" -Created on Thu Mar 19 16:55:19 2015 - -@author: akusok -""" - -import cython - -import numpy as np -cimport numpy as np - -cdef extern from "mic_code.h": - cdef void solve_corr (int n, int nrhs, double* A, double* B, double* X) - cdef cppclass MicSolver: - MicSolver( int, int, double* A, double* B) except + - void add_data( int m, double* X, double* T ) - void get_corr( double* XX, double* XT ) - void solve( double* X ) - void finalize() - - -cdef class MicSolver: - - cdef MicSolver *solverptr - cdef int n, nrhs - - def __init__(self, nn, outs, norm=1E-9): - self.n = nn - self.nrhs = outs - cdef np.ndarray[double, ndim=2, mode="c"] A = np.zeros((self.n, self.n)) - cdef np.ndarray[double, ndim=2, mode="c"] B = np.zeros((self.nrhs, self.n)) - A.ravel()[::self.n+1] += norm - self.solverptr = new MicSolver( self.n, self.nrhs, &A[0,0], &B[0,0] ) - - def finalize(self): - self.solverptr.finalize() - - def add_data(self, - np.ndarray[double, ndim=2, mode="c"] X not None, - np.ndarray[double, ndim=2, mode="c"] T not None): - cdef int m = X.shape[0] - # seems to require Fortran ordering but in "c" mode - T = T.T.reshape(m, self.nrhs).copy() - X = X.T.reshape(m, self.n).copy() - self.solverptr.add_data( m, &X[0,0], &T[0,0] ) - - def get_corr(self): - cdef np.ndarray[double, ndim=2, mode="c"] XX = np.empty((self.n, self.n)) - cdef np.ndarray[double, ndim=2, mode="c"] XT = np.empty((self.nrhs, self.n)) - self.solverptr.get_corr( &XX[0,0], &XT[0,0] ) - XX = np.ascontiguousarray(XX.T) - XT = np.ascontiguousarray(XT.T) - return XX, XT - - def solve(self): - cdef np.ndarray[double, ndim=2, mode="c"] B = np.empty((self.nrhs, self.n)) - self.solverptr.solve( &B[0,0] ); - return B.T # transpose back - - -def mic_solve(np.ndarray[double, ndim=2, mode="c"] XX not None, - np.ndarray[double, ndim=2, mode="c"] XT not None, - double norm): - cdef int n = XT.shape[0] - cdef int nrhs = XT.shape[1] - cdef np.ndarray[double, ndim=2, mode="c"] B = np.empty((nrhs, n)) - - XX.ravel()[::n+1] += norm - XT = XT.T.reshape(n,nrhs) # transpose and cast to 'c' ordering - solve_corr(n, nrhs, &XX[0,0], &XT[0,0], &B[0,0]) - B = B.reshape(nrhs,n).T - return B # transpose - - - - - - - - - - - diff --git a/acc/script.sh b/acc/script.sh deleted file mode 100755 index 8231bd1..0000000 --- a/acc/script.sh +++ /dev/null @@ -1,7 +0,0 @@ -#!/bin/bash - -rm cuda_solver.cpp -python setup_cuda.py build_ext --inplace -python -c "import cuda_solver as cs; print dir(cs)" -python try_cuda.py -echo "Done" diff --git a/acc/setup_cuda.py b/acc/setup_cuda.py deleted file mode 100644 index da2f943..0000000 --- a/acc/setup_cuda.py +++ /dev/null @@ -1,136 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Sep 11 15:03:20 2015 - -@author: akusok -""" - -import os -from os.path import join as pjoin -from setuptools import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext -import numpy - - -def find_in_path(name, path): - "Find a file in a search path" - #adapted fom http://code.activestate.com/recipes/52224-find-a-file-given-a-search-path/ - for dir in path.split(os.pathsep): - binpath = pjoin(dir, name) - if os.path.exists(binpath): - return os.path.abspath(binpath) - return None - - -def locate_cuda(): - """Locate the CUDA environment on the system - - Returns a dict with keys 'home', 'nvcc', 'include', and 'lib64' - and values giving the absolute path to each directory. - - Starts by looking for the CUDAHOME env variable. If not found, everything - is based on finding 'nvcc' in the PATH. - """ - - # first check if the CUDAHOME env variable is in use - if 'CUDADIR' in os.environ: - home = os.environ['CUDADIR'] - nvcc = pjoin(home, 'bin', 'nvcc') - else: - # otherwise, search the PATH for NVCC - nvcc = find_in_path('nvcc', os.environ['PATH']) - if nvcc is None: - raise EnvironmentError('The nvcc binary could not be ' - 'located in your $PATH. Either add it to your path, or set $CUDADIR') - home = os.path.dirname(os.path.dirname(nvcc)) - - cudaconfig = {'home':home, 'nvcc':nvcc, - 'include': pjoin(home, 'include'), - 'lib': pjoin(home, 'lib')} - for k, v in cudaconfig.iteritems(): - if not os.path.exists(v): - raise EnvironmentError('The CUDA %s path could not be located in %s' % (k, v)) - - return cudaconfig -CUDA = locate_cuda() - - -# Obtain the numpy include directory. This logic works across numpy versions. -try: - numpy_include = numpy.get_include() -except AttributeError: - numpy_include = numpy.get_numpy_include() - - -ext = Extension('cuda_solver', - sources=['cuda_code.cpp', 'cuda_solver.pyx'], - library_dirs=[CUDA['lib']], - libraries=['cublas', 'cudart'], - language='c++', - runtime_library_dirs=[CUDA['lib']], - # this syntax is specific to this build system - # we're only going to use certain compiler args with nvcc and not with gcc - # the implementation of this trick is in customize_compiler() below - extra_compile_args={'gcc': [], - 'nvcc': ['--ptxas-options=-v', '-c', '--compiler-options', "'-fPIC'"]}, - include_dirs = [numpy_include, CUDA['include'], 'src']) - - - -def customize_compiler_for_nvcc(self): - """inject deep into distutils to customize how the dispatch - to gcc/nvcc works. - - If you subclass UnixCCompiler, it's not trivial to get your subclass - injected in, and still have the right customizations (i.e. - distutils.sysconfig.customize_compiler) run on it. So instead of going - the OO route, I have this. Note, it's kindof like a wierd functional - subclassing going on.""" - - # tell the compiler it can processes .cu - self.src_extensions.append('.cu') - - # save references to the default compiler_so and _comple methods - default_compiler_so = self.compiler_so - super = self._compile - - # now redefine the _compile method. This gets executed for each - # object but distutils doesn't have the ability to change compilers - # based on source extension: we add it. - def _compile(obj, src, ext, cc_args, extra_postargs, pp_opts): - if os.path.splitext(src)[1] == '.cu': - # use the cuda for .cu files - self.set_executable('compiler_so', CUDA['nvcc']) - # use only a subset of the extra_postargs, which are 1-1 translated - # from the extra_compile_args in the Extension class - postargs = extra_postargs['nvcc'] - else: - postargs = extra_postargs['gcc'] - - super(obj, src, ext, cc_args, postargs, pp_opts) - # reset the default compiler_so, which we might have changed for cuda - self.compiler_so = default_compiler_so - - # inject our redefined _compile method into the class - self._compile = _compile - - -# run the customize_compiler -class custom_build_ext(build_ext): - def build_extensions(self): - customize_compiler_for_nvcc(self.compiler) - build_ext.build_extensions(self) - -setup(name='cuda_solver', - # random metadata. there's more you can supploy - author='Robert McGibbon', - version='0.1', - - ext_modules = [ext], - - # inject our custom trigger - cmdclass={'build_ext': custom_build_ext}, - - # since the package has c code, the egg cannot be zipped - zip_safe=False) diff --git a/acc/setup_gpu.py b/acc/setup_gpu.py deleted file mode 100755 index 58a56f8..0000000 --- a/acc/setup_gpu.py +++ /dev/null @@ -1,51 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sat Oct 18 17:21:12 2014 - -@author: akusok -""" - -from setuptools import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext - -import commands -import numpy -import sys - - - -def pkgconfig(*packages, **kw): - """Returns nicely organized stuff from PKGCONFIG. - - Found on the internet, returns a dictionary with - libraries, library dirs, include dirs, extra arguments - - To test, run in terminal: "pkg-config --libs --cflags magma" - - To add "magma" to pkg-config: - export PKG_CONFIG_PATH=$PKG_CONFIG_PATH:/usr/local/magma/lib/pkgconfig - use your own path to installed magma + lib/pkgconfig - """ - flag_map = {'-I': 'include_dirs', '-L': 'library_dirs', '-l': 'libraries'} - for token in commands.getoutput("pkg-config --libs --cflags %s" % ' '.join(packages)).split(): - if token[:2] in flag_map: - kw.setdefault(flag_map.get(token[:2]), []).append(token[2:]) - else: - kw.setdefault('extra_compile_args', []).append(token) - return kw - - -setup(cmdclass={'build_ext': build_ext}, - ext_modules=[ - Extension( - "gpu_solver", - sources=["gpu_solver.pyx", - "gpu_code.cpp"], - language="c++", - extra_compile_args=pkgconfig("magma")["extra_compile_args"], - include_dirs=[numpy.get_include()] + pkgconfig("magma")["include_dirs"], - libraries=pkgconfig("magma")["libraries"], - library_dirs=pkgconfig("magma")["library_dirs"]) - ] - ) diff --git a/acc/try_cuda.py b/acc/try_cuda.py deleted file mode 100644 index 260dcd5..0000000 --- a/acc/try_cuda.py +++ /dev/null @@ -1,96 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Sep 11 15:01:05 2015 - -@author: akusok -""" - -from cuda_solver import CUDASolver -import numpy as np -from scipy.linalg import solve -import sys -from time import time, sleep - - - - - -if __name__ == "__main__": - N = 5 - L = 3 - C = 2 - - s = CUDASolver(L, C) -# H = np.random.rand(N, L) -# T = np.random.rand(N, C) -# -# i = 3 -# for j in xrange(i): -# print j -# s.add_data(H, T) - HH, HT = s.get_corr() - -# HT2 = H.T.dot(T) -# HH2 = H.T.dot(H) -# -# HH = HH + np.triu(HH, k=1).T -# -# print np.abs(HH - HH2*i).mean() -# print np.abs(HT - HT2*i).mean() - - s.finalize() - - print "Works!" - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/acc/try_gpu.py b/acc/try_gpu.py deleted file mode 100644 index 8467bcf..0000000 --- a/acc/try_gpu.py +++ /dev/null @@ -1,120 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Mar 20 14:27:13 2015 - -@author: akusok -""" - -""" -from gpu_solver import GPUSolver, gpu_solve -import numpy as np -from scipy.linalg import solve -import sys -from time import time - - -def s_cpu(data, n, nrhs): - XX = np.zeros((n, n)) - XT = np.zeros((n, nrhs)) - for X, T in data: - t = time() - XX += X.T.dot(X) - XT += X.T.dot(T) - print "CPU: added batch in %.2fs" % (time()-t) - t = time() - Beta = solve(XX, XT, sym_pos=True) - print "CPU: solution in %.2fs" % (time()-t) - return Beta - - -def s_gpu(data, n, nrhs): - s = GPUSolver(n, nrhs) - for X, T in data: - t = time() - s.add_data(X, T) - print "GPU: added batch in %.2fs" % (time()-t) - t = time() - B = s.solve() - print "GPU: solution in %.2fs" % (time()-t) - return B - - -def test(): - n = int(sys.argv[1]) - nrhs = int(sys.argv[2]) - k = int(sys.argv[3]) - - data = [] - for _ in range(k): - n1 = int(n*0.7) - X = np.random.rand(n1, n).astype(np.float64) - T = np.random.rand(n1, nrhs).astype(np.float64) - data.append((X, T)) - - B = s_gpu(data, n, nrhs) - Beta = s_cpu(data, n, nrhs) - - print "Norm of CPU-GPU difference:", np.linalg.norm(B - Beta) - - -if __name__ == "__main__": - - if len(sys.argv) != 4: - print "add arguments: number of neurons, number of targets, number of batches of data" - else: - test() - - print "Works!" -""" - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/Elm october.pdf b/develop/Elm october.pdf deleted file mode 100644 index 096858e..0000000 Binary files a/develop/Elm october.pdf and /dev/null differ diff --git a/develop/XXXXelm_big.py b/develop/XXXXelm_big.py deleted file mode 100755 index 669364b..0000000 --- a/develop/XXXXelm_big.py +++ /dev/null @@ -1,127 +0,0 @@ - # -*- coding: utf-8 -*- -""" -Created on Mon Oct 27 17:48:33 2014 - -@author: akusok -""" - -import numpy as np -from numpy.linalg import lstsq - -from modules.data_loader import batchX, batchT, meanstdX, c_dictT, decode -from modules.regularizations import semi_Tikhonov -from modules.error_functions import mse -from elm_abstract import ELM_abstract - - -class HPELM(ELM_abstract): - """Extreme Learning Machine for Big Data. - """ - - # inherited def add_neurons(self, number, func, W=None, B=None): - # inherited def save(self, model): - # inherited def load(self, model): - # inherited def _checkdata(self, X, T): - - def __init__(self, inputs, outputs, kind="", batch=10000): - """Create ELM of desired kind. - """ - super(HPELM, self).__init__(inputs, outputs, kind) - self.batch = batch - - def project(self, X): - pass - - def train(self, X, T, delimiter=" "): - """Trains ELM, can use any X and T(=Y), and specify neurons. - - Neurons: (number, type, [W], [B]) - """ - - # get parameters of new data and add neurons - self.Xmean, self.Xstd = meanstdX(X, self.batch, delimiter) - if self.classification: - self.C_dict = c_dictT(T, self.batch) - - # get data iterators - genX, self.inputs, N = batchX(X, self.batch, delimiter) - genT, self.targets = batchT(T, self.batch, delimiter, self.C_dict) - - # get mean value of targets - if self.classification or self.multiclass: - self.Tmean = np.zeros((self.targets,)) # for any classification - else: - self.Tmean, _ = meanstdX(T, self.batch, delimiter) - - # project data - nn = len(self.ufunc) - HH = np.zeros((nn, nn)) - HT = np.zeros((nn, self.targets)) - for X, T in zip(genX, genT): - - # get hidden layer outputs - H = np.dot(X, self.W) - for i in xrange(H.shape[1]): - H[:, i] = self.ufunc[i](H[:, i]) - H, T = semi_Tikhonov(H, T, self.Tmean) # add Tikhonov regularization - - # least squares solution - multiply both sides by H' - p = float(X.shape[0]) / N - HH += np.dot(H.T, H)*p - HT += np.dot(H.T, T)*p - - # solve ELM model - HH += self.cI * np.eye(nn) # enhance solution stability - self.B = lstsq(HH, HT)[0] - #self.B = np.linalg.pinv(HH).dot(HT) - - def predict(self, X, delimiter=" "): - """Get predictions using a trained or loaded ELM model. - - :param X: input data - :rtype: predictions Th - """ - - assert self.B is not None, "train this model first" - genX, inputs, _ = batchX(X, self.batch, delimiter) - - results = [] - for X in genX: - assert self.inputs == inputs, "incorrect dimensionality of inputs" - # project test inputs to outputs - H = np.dot(X, self.W) - for i in xrange(H.shape[1]): - H[:, i] = self.ufunc[i](H[:, i]) - Th1 = H.dot(self.B) - # additional processing for classification - if self.classification: - Th1 = decode(Th1, self.C_dict) - results.append(Th1) - - # merge results - if isinstance(results[0], np.ndarray): - Th = np.vstack(results) - else: - Th = [] # merge results which are lists of items - for r1 in results: - Th.extend(r1) - - return Th - - def MSE(self, X, Y, delimiter=" "): - """Mean Squared Error (or mis-classification error). - """ - MSE = 0 - genX, _, N = batchX(X, self.batch, delimiter) - genT, _ = batchT(Y, self.batch, delimiter, self.C_dict) - - for X, T in zip(genX, genT): - H = np.dot(X, self.W) - for i in xrange(H.shape[1]): - H[:, i] = self.ufunc[i](H[:, i]) - Th1 = H.dot(self.B) - - p = float(X.shape[0]) / N - MSE += mse(T, Th1, self.classification, self.multiclass) * p - - return MSE diff --git a/develop/XXXXhpelm.py b/develop/XXXXhpelm.py deleted file mode 100644 index 98adb68..0000000 --- a/develop/XXXXhpelm.py +++ /dev/null @@ -1,310 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Oct 27 17:48:33 2014 - -@author: akusok -""" - -import numpy as np - -from nnet import SLFN - - -class HPELM(SLFN): - """High performance GPU and parallel Extreme Learning Machine. - """ - - # inherited def __init__(self, inputs, outputs): - # inherited def _checkdata(self, X, T): - # inherited def add_neurons(self, number, func, W=None, B=None): - # inherited def project(self, X): - # inherited def predict(self, X): - # inherited def save(self, model): - # inherited def load(self, model): - - def __init__(self, X, T, *args, **kvargs): - """Universal contructor of ELM model with model structure selection. - - :param X: input data matrix - :param T: target data matrix - :param Xmean: vector of mean value of X for normalization !!! hpelm - :param Xstd: vector of srd of X for normalization !!! hpelm - - Model structure selection (exclusive, choose one) - :param "V": use validation set - :param "CV": use cross-validation - :param "MCCV": use Monte-Carlo cross-validation - :param "LOO": use leave-one-out validation - - Additional validation parameters - :param Xv: validation data X ("V") - :param Tv: validation targets T ("V") - :param k: number of splits ("CV", "MCCV") - :param n: number of repetitions ("MCCV") - - Ranking of hidden neurons - :param "HQ": use Hannan-Quinn criterion - # no OP-ELM - - System setup - :param "classification"/"c": build ELM for classification - :param "multiclass"/"mc": build ELM for multiclass classification - :param "adaptive"/"ad": build adaptive ELM for non-stationary model - :param "batch": batch size for adaptive ELM (sliding window step size) - - """ - - print X.shape - print T.shape - print "start args" - for arg in args: - print arg - print "start kvargs" - for kv, arg in kvargs.items(): - print kv, arg - print "end (kv)args" - - N, inputs = X.shape - _, targets = T.shape - super(ELM, self).__init__(inputs, targets) - - def train(self, X, T): - """Learn a model to project inputs X to targets T. - - :param X: - matrix of inputs - :param T: - matrix of targets - """ - assert len(self.neurons) > 0, "Add neurons before training ELM" - X, T = self._checkdata(X, T) - H = self.project(X) - self.Beta = np.linalg.pinv(H).dot(T) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ''' COPY OF OLD PRUNING METHODS - def prune_op(self, X, T, batch=10000, delimiter=" "): - """Prune ELM as in OP-ELM paper. - """ - # get data iterators - genX, self.inputs, N = batchX(X, batch, delimiter) - genT, self.targets = batchT(T, batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - nfeats = [] - neurons = np.zeros((nn,)) - for X1,T1 in zip(genX, genT): - - # get hidden layer outputs - H = np.dot(X1,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T1 = semi_Tikhonov(H,T1,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - rank = mrsr(H, T1, nn) - - # select best number of neurons - MSE = press(H[:, rank[:2]], T1, self.classification, self.multiclass) - R_opt = rank[:2] - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - r = rank[:i] - mse1 = press(H[:,r], T1, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = r - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - r = R_opt - - # save number of neurons and their ranking information - nfeats.append(len(r)) - # first selected neuron gets weight 2, last one gets weight 1 - neurons[r] += np.linspace(2,1,num=len(r)) - - # combine neuron ranking - nfeats = np.round(np.mean(nfeats)) - neurons = np.argsort(neurons)[::-1][:nfeats] # sorting in descending order - - # update ELM parameters and re-calculate B - self.W = self.W[:,neurons] - self.ufunc = [self.ufunc[j] for j in neurons] - self.train(X, T, batch=batch, delimiter=delimiter) - - - - def prune_op2(self, X, T, norm=1, batch=10000, delimiter=" "): - """Prune ELM with a more recent implementation of MRSR. - - :param norm: - check numpy.linalg.norm(X, ) - """ - # get data iterators - genX, self.inputs, N = batchX(X, batch, delimiter) - genT, self.targets = batchT(T, batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - nfeats = [] - neurons = np.zeros((nn,)) - for X1,T1 in zip(genX, genT): - - # get hidden layer outputs - H = np.dot(X1,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T1 = semi_Tikhonov(H,T1,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - # this MRSR2 is a class, with <.rank> attribute and <.new_input()> method - M = mrsr2(H, T1, norm) - M.new_input() - M.new_input() - - # select best number of neurons - MSE = press(H[:, M.rank], T1, self.classification, self.multiclass) - R_opt = M.rank - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - M.new_input() - mse1 = press(H[:, M.rank], T1, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = M.rank - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - rank = R_opt - del M - - # save number of neurons and their ranking information - nfeats.append(len(rank)) - # first selected neuron gets weight 2, last one gets weight 1 - neurons[rank] += np.linspace(2,1,num=len(rank)) - - # combine neuron ranking - nfeats = np.round(np.mean(nfeats)) - neurons = np.argsort(neurons)[::-1][:nfeats] # sorting in descending order - - # update ELM parameters and re-calculate B - self.W = self.W[:,neurons] - self.ufunc = [self.ufunc[j] for j in neurons] - self.train(X, T, batch=batch, delimiter=delimiter) - ''' - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/develop/_Accelerators/CrayWorkshop/A.bin b/develop/_Accelerators/CrayWorkshop/A.bin deleted file mode 100755 index 5fe9266..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/A.bin and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/C.bin b/develop/_Accelerators/CrayWorkshop/C.bin deleted file mode 100755 index c1cc2af..0000000 --- a/develop/_Accelerators/CrayWorkshop/C.bin +++ /dev/null @@ -1 +0,0 @@ -?7@q/1JZi]@:fJA!HF[q/1J@/Zf? VV@hz`D@ \ No newline at end of file diff --git a/develop/_Accelerators/CrayWorkshop/H.bin b/develop/_Accelerators/CrayWorkshop/H.bin deleted file mode 100755 index df33b7f..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/H.bin and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/INSTALL b/develop/_Accelerators/CrayWorkshop/INSTALL deleted file mode 100755 index 35154d4..0000000 --- a/develop/_Accelerators/CrayWorkshop/INSTALL +++ /dev/null @@ -1 +0,0 @@ -python setup.py build_ext --inplace diff --git a/develop/_Accelerators/CrayWorkshop/Math Forum Discussions - AT_X_A.pdf b/develop/_Accelerators/CrayWorkshop/Math Forum Discussions - AT_X_A.pdf deleted file mode 100755 index 5d2cbc4..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/Math Forum Discussions - AT_X_A.pdf and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/SC13-MAGMA.pdf b/develop/_Accelerators/CrayWorkshop/SC13-MAGMA.pdf deleted file mode 100755 index a03e05c..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/SC13-MAGMA.pdf and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/U.bin b/develop/_Accelerators/CrayWorkshop/U.bin deleted file mode 100755 index 9c85119..0000000 --- a/develop/_Accelerators/CrayWorkshop/U.bin +++ /dev/null @@ -1 +0,0 @@ -,ۿO8mӑ Pyn;Mfc\?迦7 ? \ No newline at end of file diff --git a/develop/_Accelerators/CrayWorkshop/VT.bin b/develop/_Accelerators/CrayWorkshop/VT.bin deleted file mode 100755 index 4a1b88f..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/VT.bin and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/W.bin b/develop/_Accelerators/CrayWorkshop/W.bin deleted file mode 100755 index e1785a8..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/W.bin and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/Y.bin b/develop/_Accelerators/CrayWorkshop/Y.bin deleted file mode 100755 index 2c05e19..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/Y.bin and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/f_apply.o b/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/f_apply.o deleted file mode 100755 index ec06a6d..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/f_apply.o and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/mp_func.o b/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/mp_func.o deleted file mode 100755 index 302a732..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/mp_func.o and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/nl_func.o b/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/nl_func.o deleted file mode 100755 index 121aa57..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/build/temp.linux-x86_64-2.7/nl_func.o and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/clapack.h b/develop/_Accelerators/CrayWorkshop/clapack.h deleted file mode 100755 index 14de261..0000000 --- a/develop/_Accelerators/CrayWorkshop/clapack.h +++ /dev/null @@ -1,6077 +0,0 @@ -* - ================================================================================================= - Definitions and prototypes for LAPACK v3.2.1 as provided Apple Computer. - - Documentation of the LAPACK interfaces, including reference implementations, can be found on - the web starting from the LAPACK FAQ page at this URL (verified live as of January 2010): - http://netlib.org/lapack/faq.html - - A hardcopy maanual is: - LAPACK Users' Guide, Third Edition. - @BOOK{laug, - AUTHOR = {Anderson, E. and Bai, Z. and Bischof, C. and - Blackford, S. and Demmel, J. and Dongarra, J. and - Du Croz, J. and Greenbaum, A. and Hammarling, S. and - McKenney, A. and Sorensen, D.}, - TITLE = {{LAPACK} Users' Guide}, - EDITION = {Third}, - PUBLISHER = {Society for Industrial and Applied Mathematics}, - YEAR = {1999}, - ADDRESS = {Philadelphia, PA}, - ISBN = {0-89871-447-8 (paperback)} } - - ================================================================================================= - */ - -#ifndef __CLAPACK_H -#define __CLAPACK_H - -#ifdef __cplusplus -extern "C" { -#endif - -#if defined(__LP64__) /* In LP64 match sizes with the 32 bit ABI */ - typedef int __CLPK_integer; - typedef int __CLPK_logical; - typedef float __CLPK_real; - typedef double __CLPK_doublereal; - typedef __CLPK_logical (*__CLPK_L_fp)(); - typedef int __CLPK_ftnlen; -#else - typedef long int __CLPK_integer; - typedef long int __CLPK_logical; - typedef float __CLPK_real; - typedef double __CLPK_doublereal; - typedef __CLPK_logical (*__CLPK_L_fp)(); - typedef long int __CLPK_ftnlen; -#endif - -typedef struct { __CLPK_real r, i; } __CLPK_complex; -typedef struct { __CLPK_doublereal r, i; } __CLPK_doublecomplex; - -#include - -int cbdsqr_(char *uplo, __CLPK_integer *n, __CLPK_integer *ncvt, __CLPK_integer * - nru, __CLPK_integer *ncc, __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *vt, __CLPK_integer *ldvt, - __CLPK_complex *u, __CLPK_integer *ldu, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbbrd_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *ncc, - __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *d__, - __CLPK_real *e, __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *pt, __CLPK_integer *ldpt, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbcon_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real - *colcnd, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, - __CLPK_real *colcnd, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *afb, __CLPK_integer * - ldafb, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer * - ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbsv_(__CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_integer * - nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer *kl, - __CLPK_integer *ku, __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *afb, - __CLPK_integer *ldafb, __CLPK_integer *ipiv, char *equed, __CLPK_real *r__, __CLPK_real *c__, - __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real - *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbtf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbtrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgbtrs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_complex - *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgebak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_real *scale, __CLPK_integer *m, __CLPK_complex *v, __CLPK_integer *ldv, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgebal_(char *job, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgebd2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *tauq, __CLPK_complex *taup, __CLPK_complex *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgebrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *tauq, __CLPK_complex *taup, __CLPK_complex *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgecon_(char *norm, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgees_(char *jobvs, char *sort, __CLPK_L_fp select, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_complex *w, __CLPK_complex *vs, - __CLPK_integer *ldvs, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_logical * - bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeesx_(char *jobvs, char *sort, __CLPK_L_fp select, char * - sense, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_complex * - w, __CLPK_complex *vs, __CLPK_integer *ldvs, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *w, __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex *vr, - __CLPK_integer *ldvr, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *w, __CLPK_complex *vl, - __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_real *scale, __CLPK_real *abnrm, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_complex *work, - __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgegs_(char *jobvsl, char *jobvsr, __CLPK_integer *n, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *alpha, __CLPK_complex * - beta, __CLPK_complex *vsl, __CLPK_integer *ldvsl, __CLPK_complex *vsr, __CLPK_integer *ldvsr, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgegv_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *alpha, __CLPK_complex *beta, - __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgehd2_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgehrd_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgels_(char *trans, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelsd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *s, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelss_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *s, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelsx_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *jpvt, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgelsy_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *jpvt, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeql2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeqlf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeqp3_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *jpvt, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeqpf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *jpvt, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeqr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgeqrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgerfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, __CLPK_complex * - b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgerq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgerqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgesc2_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex * - rhs, __CLPK_integer *ipiv, __CLPK_integer *jpiv, __CLPK_real *scale) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgesdd_(char *jobz, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_real *s, __CLPK_complex *u, __CLPK_integer *ldu, __CLPK_complex *vt, __CLPK_integer - *ldvt, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgesvd_(char *jobu, char *jobvt, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *s, __CLPK_complex *u, __CLPK_integer *ldu, __CLPK_complex * - vt, __CLPK_integer *ldvt, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgesvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer * - ipiv, char *equed, __CLPK_real *r__, __CLPK_real *c__, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgetc2_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer * - ipiv, __CLPK_integer *jpiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgetf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgetrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgetri_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer * - ipiv, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgetrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggbak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_real *lscale, __CLPK_real *rscale, __CLPK_integer *m, __CLPK_complex *v, - __CLPK_integer *ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggbal_(char *job, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *lscale, - __CLPK_real *rscale, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgges_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer * - ldb, __CLPK_integer *sdim, __CLPK_complex *alpha, __CLPK_complex *beta, __CLPK_complex *vsl, - __CLPK_integer *ldvsl, __CLPK_complex *vsr, __CLPK_integer *ldvsr, __CLPK_complex *work, __CLPK_integer * - lwork, __CLPK_real *rwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggesx_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, char *sense, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_complex *alpha, __CLPK_complex *beta, __CLPK_complex * - vsl, __CLPK_integer *ldvsl, __CLPK_complex *vsr, __CLPK_integer *ldvsr, __CLPK_real *rconde, __CLPK_real - *rcondv, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *alpha, __CLPK_complex *beta, - __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *alpha, __CLPK_complex *beta, __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex * - vr, __CLPK_integer *ldvr, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *lscale, __CLPK_real * - rscale, __CLPK_real *abnrm, __CLPK_real *bbnrm, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_complex - *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_logical *bwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggglm_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *d__, __CLPK_complex *x, - __CLPK_complex *y, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgghrd_(char *compq, char *compz, __CLPK_integer *n, __CLPK_integer * - ilo, __CLPK_integer *ihi, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgglse_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *p, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *c__, __CLPK_complex *d__, - __CLPK_complex *x, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggqrf_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *taua, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *taub, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggrqf_(__CLPK_integer *m, __CLPK_integer *p, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *taua, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *taub, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggsvd_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *p, __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *alpha, __CLPK_real *beta, __CLPK_complex *u, - __CLPK_integer *ldu, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_complex *q, __CLPK_integer *ldq, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cggsvp_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer - *ldb, __CLPK_real *tola, __CLPK_real *tolb, __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *u, - __CLPK_integer *ldu, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_complex *q, __CLPK_integer *ldq, - __CLPK_integer *iwork, __CLPK_real *rwork, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgtcon_(char *norm, __CLPK_integer *n, __CLPK_complex *dl, __CLPK_complex * - d__, __CLPK_complex *du, __CLPK_complex *du2, __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real * - rcond, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgtrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - dl, __CLPK_complex *d__, __CLPK_complex *du, __CLPK_complex *dlf, __CLPK_complex *df, __CLPK_complex * - duf, __CLPK_complex *du2, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex * - x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgtsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex *dl, __CLPK_complex * - d__, __CLPK_complex *du, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgtsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *dl, __CLPK_complex *d__, __CLPK_complex *du, __CLPK_complex *dlf, __CLPK_complex * - df, __CLPK_complex *duf, __CLPK_complex *du2, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer * - ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgttrf_(__CLPK_integer *n, __CLPK_complex *dl, __CLPK_complex *d__, __CLPK_complex * - du, __CLPK_complex *du2, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgttrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - dl, __CLPK_complex *d__, __CLPK_complex *du, __CLPK_complex *du2, __CLPK_integer *ipiv, __CLPK_complex * - b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cgtts2_(__CLPK_integer *itrans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_complex *dl, __CLPK_complex *d__, __CLPK_complex *du, __CLPK_complex *du2, __CLPK_integer *ipiv, - __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *lrwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *q, __CLPK_integer *ldq, - __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer * - m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbgst_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *bb, __CLPK_integer *ldbb, - __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbgv_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *bb, __CLPK_integer *ldbb, - __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbgvd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *bb, __CLPK_integer *ldbb, - __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_real *rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbgvx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *ka, __CLPK_integer *kb, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *bb, - __CLPK_integer *ldbb, __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer * - il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_complex *z__, - __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer * - ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chbtrd_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *q, __CLPK_integer * - ldq, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int checon_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cheequb_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cheev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_real *w, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cheevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_real *w, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, - __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cheevr_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer * - iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_integer *isuppz, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer * - lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cheevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer * - iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer * - ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chegs2_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chegst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chegv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *w, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chegvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *w, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *lrwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chegvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer * - m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cherfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, __CLPK_complex * - b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chesv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chesvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer * - ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetd2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetf2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetrd_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetri_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chetrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chfrk_(char *transr, char *uplo, char *trans, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *alpha, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *beta, - __CLPK_complex *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chgeqz_(char *job, char *compq, char *compz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *t, - __CLPK_integer *ldt, __CLPK_complex *alpha, __CLPK_complex *beta, __CLPK_complex *q, __CLPK_integer *ldq, - __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -void chla_transtype__(char *ret_val, __CLPK_ftnlen ret_val_len, - __CLPK_integer *trans) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpcon_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_complex *ap, - __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_complex *ap, - __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_real *rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_complex *ap, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real * - abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex * - work, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpgst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_complex * - ap, __CLPK_complex *bp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpgv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_complex *ap, __CLPK_complex *bp, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpgvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_complex *ap, __CLPK_complex *bp, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, __CLPK_integer *lrwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpgvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_complex *bp, __CLPK_real *vl, __CLPK_real *vu, - __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_complex * - z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_complex *afp, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, - __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chpsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *ap, __CLPK_complex *afp, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer * - ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chptrd_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real *d__, - __CLPK_real *e, __CLPK_complex *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chptrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chptri_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chsein_(char *side, char *eigsrc, char *initv, __CLPK_logical * - select, __CLPK_integer *n, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, __CLPK_complex * - vl, __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer * - m, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *ifaill, __CLPK_integer *ifailr, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int chseqr_(char *job, char *compz, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, __CLPK_complex *z__, - __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clabrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *tauq, __CLPK_complex *taup, - __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_complex *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacgv_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacn2_(__CLPK_integer *n, __CLPK_complex *v, __CLPK_complex *x, __CLPK_real *est, - __CLPK_integer *kase, __CLPK_integer *isave) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacon_(__CLPK_integer *n, __CLPK_complex *v, __CLPK_complex *x, __CLPK_real *est, - __CLPK_integer *kase) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacp2_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacpy_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacrm_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_real *rwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clacrt_(__CLPK_integer *n, __CLPK_complex *cx, __CLPK_integer *incx, __CLPK_complex * - cy, __CLPK_integer *incy, __CLPK_complex *c__, __CLPK_complex *s) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -void cladiv_(__CLPK_complex * ret_val, __CLPK_complex *x, __CLPK_complex *y) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claed0_(__CLPK_integer *qsiz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *qstore, __CLPK_integer *ldqs, __CLPK_real *rwork, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claed7_(__CLPK_integer *n, __CLPK_integer *cutpnt, __CLPK_integer *qsiz, - __CLPK_integer *tlvls, __CLPK_integer *curlvl, __CLPK_integer *curpbm, __CLPK_real *d__, __CLPK_complex * - q, __CLPK_integer *ldq, __CLPK_real *rho, __CLPK_integer *indxq, __CLPK_real *qstore, __CLPK_integer * - qptr, __CLPK_integer *prmptr, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer * - givcol, __CLPK_real *givnum, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claed8_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *qsiz, __CLPK_complex * - q, __CLPK_integer *ldq, __CLPK_real *d__, __CLPK_real *rho, __CLPK_integer *cutpnt, __CLPK_real *z__, - __CLPK_real *dlamda, __CLPK_complex *q2, __CLPK_integer *ldq2, __CLPK_real *w, __CLPK_integer *indxp, - __CLPK_integer *indx, __CLPK_integer *indxq, __CLPK_integer *perm, __CLPK_integer *givptr, - __CLPK_integer *givcol, __CLPK_real *givnum, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claein_(__CLPK_logical *rightv, __CLPK_logical *noinit, __CLPK_integer *n, - __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, __CLPK_complex *v, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_real *rwork, __CLPK_real *eps3, __CLPK_real *smlnum, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claesy_(__CLPK_complex *a, __CLPK_complex *b, __CLPK_complex *c__, __CLPK_complex * - rt1, __CLPK_complex *rt2, __CLPK_complex *evscal, __CLPK_complex *cs1, __CLPK_complex *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claev2_(__CLPK_complex *a, __CLPK_complex *b, __CLPK_complex *c__, __CLPK_real *rt1, - __CLPK_real *rt2, __CLPK_real *cs1, __CLPK_complex *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clag2z_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *sa, __CLPK_integer * - ldsa, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clags2_(__CLPK_logical *upper, __CLPK_real *a1, __CLPK_complex *a2, __CLPK_real *a3, - __CLPK_real *b1, __CLPK_complex *b2, __CLPK_real *b3, __CLPK_real *csu, __CLPK_complex *snu, __CLPK_real *csv, - __CLPK_complex *snv, __CLPK_real *csq, __CLPK_complex *snq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clagtm_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real * - alpha, __CLPK_complex *dl, __CLPK_complex *d__, __CLPK_complex *du, __CLPK_complex *x, __CLPK_integer * - ldx, __CLPK_real *beta, __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clahef_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *w, __CLPK_integer *ldw, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clahqr_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clahr2_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *y, - __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clahrd_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *y, - __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claic1_(__CLPK_integer *job, __CLPK_integer *j, __CLPK_complex *x, __CLPK_real *sest, - __CLPK_complex *w, __CLPK_complex *gamma, __CLPK_real *sestpr, __CLPK_complex *s, __CLPK_complex *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clals0_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *nrhs, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *bx, - __CLPK_integer *ldbx, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_integer *ldgcol, __CLPK_real *givnum, __CLPK_integer *ldgnum, __CLPK_real *poles, __CLPK_real * - difl, __CLPK_real *difr, __CLPK_real *z__, __CLPK_integer *k, __CLPK_real *c__, __CLPK_real *s, __CLPK_real * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clalsa_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *bx, __CLPK_integer *ldbx, - __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, __CLPK_integer *k, __CLPK_real *difl, __CLPK_real *difr, - __CLPK_real *z__, __CLPK_real *poles, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer * - ldgcol, __CLPK_integer *perm, __CLPK_real *givnum, __CLPK_real *c__, __CLPK_real *s, __CLPK_real *rwork, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clalsd_(char *uplo, __CLPK_integer *smlsiz, __CLPK_integer *n, __CLPK_integer - *nrhs, __CLPK_real *d__, __CLPK_real *e, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clangb_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_complex * - ab, __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clange_(char *norm, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clangt_(char *norm, __CLPK_integer *n, __CLPK_complex *dl, __CLPK_complex *d__, __CLPK_complex - *du) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanhb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex * - ab, __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanhe_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanhf_(char *norm, char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex * - a, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanhp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanhs_(char *norm, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clanht_(char *norm, __CLPK_integer *n, __CLPK_real *d__, __CLPK_complex *e) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clansb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex * - ab, __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clansp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clansy_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clantb_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clantp_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_complex * - ap, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal clantr_(char *norm, char *uplo, char *diag, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clapll_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_complex * - y, __CLPK_integer *incy, __CLPK_real *ssmin) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clapmt_(__CLPK_logical *forwrd, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex - *x, __CLPK_integer *ldx, __CLPK_integer *k) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqgb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real - *colcnd, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqge_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, char * - equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqhb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqhe_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqhp_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqp2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_complex - *a, __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_complex *tau, __CLPK_real *vn1, __CLPK_real *vn2, - __CLPK_complex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqps_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_integer - *nb, __CLPK_integer *kb, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_complex * - tau, __CLPK_real *vn1, __CLPK_real *vn2, __CLPK_complex *auxv, __CLPK_complex *f, __CLPK_integer *ldf) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr0_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr1_(__CLPK_integer *n, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex * - s1, __CLPK_complex *s2, __CLPK_complex *v) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr2_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_complex *h__, __CLPK_integer *ldh, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer * - ns, __CLPK_integer *nd, __CLPK_complex *sh, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_integer *nh, - __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_complex *wv, __CLPK_integer *ldwv, - __CLPK_complex *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr3_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_complex *h__, __CLPK_integer *ldh, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer * - ns, __CLPK_integer *nd, __CLPK_complex *sh, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_integer *nh, - __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_complex *wv, __CLPK_integer *ldwv, - __CLPK_complex *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr4_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_complex *w, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqr5_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *kacc22, - __CLPK_integer *n, __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nshfts, __CLPK_complex *s, - __CLPK_complex *h__, __CLPK_integer *ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_complex * - z__, __CLPK_integer *ldz, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_complex *u, __CLPK_integer *ldu, - __CLPK_integer *nv, __CLPK_complex *wv, __CLPK_integer *ldwv, __CLPK_integer *nh, __CLPK_complex *wh, - __CLPK_integer *ldwh) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqsb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqsp_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claqsy_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clar1v_(__CLPK_integer *n, __CLPK_integer *b1, __CLPK_integer *bn, __CLPK_real * - lambda, __CLPK_real *d__, __CLPK_real *l, __CLPK_real *ld, __CLPK_real *lld, __CLPK_real *pivmin, __CLPK_real * - gaptol, __CLPK_complex *z__, __CLPK_logical *wantnc, __CLPK_integer *negcnt, __CLPK_real *ztz, - __CLPK_real *mingma, __CLPK_integer *r__, __CLPK_integer *isuppz, __CLPK_real *nrminv, __CLPK_real * - resid, __CLPK_real *rqcorr, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clar2v_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_complex *y, __CLPK_complex *z__, - __CLPK_integer *incx, __CLPK_real *c__, __CLPK_complex *s, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarcm_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_real *rwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarf_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *v, - __CLPK_integer *incv, __CLPK_complex *tau, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarfb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *v, __CLPK_integer *ldv, - __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, - __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarfg_(__CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex *x, __CLPK_integer * - incx, __CLPK_complex *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarfp_(__CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex *x, __CLPK_integer * - incx, __CLPK_complex *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarft_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_complex *tau, __CLPK_complex *t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarfx_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *v, - __CLPK_complex *tau, __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clargv_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_complex * - y, __CLPK_integer *incy, __CLPK_real *c__, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarnv_(__CLPK_integer *idist, __CLPK_integer *iseed, __CLPK_integer *n, - __CLPK_complex *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarrv_(__CLPK_integer *n, __CLPK_real *vl, __CLPK_real *vu, __CLPK_real *d__, __CLPK_real * - l, __CLPK_real *pivmin, __CLPK_integer *isplit, __CLPK_integer *m, __CLPK_integer *dol, __CLPK_integer * - dou, __CLPK_real *minrgp, __CLPK_real *rtol1, __CLPK_real *rtol2, __CLPK_real *w, __CLPK_real *werr, - __CLPK_real *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, __CLPK_real *gers, __CLPK_complex * - z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarscl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *d__, __CLPK_complex *x, - __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clartg_(__CLPK_complex *f, __CLPK_complex *g, __CLPK_real *cs, __CLPK_complex *sn, - __CLPK_complex *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clartv_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_complex * - y, __CLPK_integer *incy, __CLPK_real *c__, __CLPK_complex *s, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarz_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, - __CLPK_complex *v, __CLPK_integer *incv, __CLPK_complex *tau, __CLPK_complex *c__, __CLPK_integer *ldc, - __CLPK_complex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarzb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *v, - __CLPK_integer *ldv, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *c__, __CLPK_integer *ldc, - __CLPK_complex *work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clarzt_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_complex *v, __CLPK_integer *ldv, __CLPK_complex *tau, __CLPK_complex *t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clascl_(char *type__, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_real * - cfrom, __CLPK_real *cto, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clascl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *d__, __CLPK_complex *x, - __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claset_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex * - alpha, __CLPK_complex *beta, __CLPK_complex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clasr_(char *side, char *pivot, char *direct, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_real *c__, __CLPK_real *s, __CLPK_complex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int classq_(__CLPK_integer *n, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_real * - scale, __CLPK_real *sumsq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int claswp_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer * - k1, __CLPK_integer *k2, __CLPK_integer *ipiv, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clasyf_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *w, __CLPK_integer *ldw, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatbs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex * - x, __CLPK_real *scale, __CLPK_real *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatdf_(__CLPK_integer *ijob, __CLPK_integer *n, __CLPK_complex *z__, __CLPK_integer - *ldz, __CLPK_complex *rhs, __CLPK_real *rdsum, __CLPK_real *rdscal, __CLPK_integer *ipiv, __CLPK_integer - *jpiv) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatps_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_complex *x, __CLPK_real *scale, __CLPK_real *cnorm, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatrd_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_real *e, __CLPK_complex *tau, __CLPK_complex *w, __CLPK_integer *ldw) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatrs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *x, __CLPK_real *scale, - __CLPK_real *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatrz_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clatzm_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *v, - __CLPK_integer *incv, __CLPK_complex *tau, __CLPK_complex *c1, __CLPK_complex *c2, __CLPK_integer *ldc, - __CLPK_complex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clauu2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int clauum_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbcon_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbequ_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *afb, __CLPK_integer *ldafb, - __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real * - berr, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbstf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *afb, __CLPK_integer * - ldafb, char *equed, __CLPK_real *s, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, - __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, - __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbtf2_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbtrf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_complex *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpbtrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpftrf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpftri_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpftrs_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpocon_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpoequ_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpoequb_(__CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cporfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, - __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cposvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, char * - equed, __CLPK_real *s, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, - __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpotf2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpotrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpotri_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpotrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cppcon_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real *anorm, - __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cppequ_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_complex *afp, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cppsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cppsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *ap, __CLPK_complex *afp, char *equed, __CLPK_real *s, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real - *berr, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpptrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpptri_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpstf2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_real *tol, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpstrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_real *tol, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cptcon_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_complex *e, __CLPK_real *anorm, - __CLPK_real *rcond, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpteqr_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cptrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, - __CLPK_complex *e, __CLPK_real *df, __CLPK_complex *ef, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex - *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cptsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, __CLPK_complex *e, - __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cptsvx_(char *fact, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, - __CLPK_complex *e, __CLPK_real *df, __CLPK_complex *ef, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex - *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, - __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpttrf_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_complex *e, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cpttrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, - __CLPK_complex *e, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cptts2_(__CLPK_integer *iuplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real * - d__, __CLPK_complex *e, __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int crot_(__CLPK_integer *n, __CLPK_complex *cx, __CLPK_integer *incx, __CLPK_complex * - cy, __CLPK_integer *incy, __CLPK_real *c__, __CLPK_complex *s) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cspcon_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cspmv_(char *uplo, __CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex * - ap, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_complex *beta, __CLPK_complex *y, __CLPK_integer * - incy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cspr_(char *uplo, __CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex *x, - __CLPK_integer *incx, __CLPK_complex *ap) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_complex *afp, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, - __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cspsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cspsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *ap, __CLPK_complex *afp, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer * - ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csptrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csptri_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_integer * - ipiv, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - ap, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csrscl_(__CLPK_integer *n, __CLPK_real *sa, __CLPK_complex *sx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cstedc_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real * - rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cstegr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, - __CLPK_integer *m, __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cstein_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_integer *m, __CLPK_real - *w, __CLPK_integer *iblock, __CLPK_integer *isplit, __CLPK_complex *z__, __CLPK_integer *ldz, - __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cstemr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_integer *m, - __CLPK_real *w, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *nzc, __CLPK_integer *isuppz, - __CLPK_logical *tryrac, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csteqr_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csycon_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csyequb_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csymv_(char *uplo, __CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *x, __CLPK_integer *incx, __CLPK_complex *beta, __CLPK_complex *y, - __CLPK_integer *incy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csyr_(char *uplo, __CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex *x, - __CLPK_integer *incx, __CLPK_complex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csyrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, __CLPK_complex * - b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csysv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csysvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *af, __CLPK_integer *ldaf, __CLPK_integer * - ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *rcond, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csytf2_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csytrf_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csytri_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int csytrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctbcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_real *rcond, __CLPK_complex *work, - __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctbrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, - __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctbtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_complex *ab, __CLPK_integer *ldab, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctfsm_(char *transr, char *side, char *uplo, char *trans, - char *diag, __CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *alpha, __CLPK_complex *a, - __CLPK_complex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctftri_(char *transr, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctfttp_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex * - arf, __CLPK_complex *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctfttr_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex * - arf, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_complex *s, __CLPK_integer *lds, __CLPK_complex *p, __CLPK_integer *ldp, - __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, - __CLPK_integer *m, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgex2_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *q, - __CLPK_integer *ldq, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *j1, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgexc_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *q, - __CLPK_integer *ldq, __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *ifst, __CLPK_integer * - ilst, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgsen_(__CLPK_integer *ijob, __CLPK_logical *wantq, __CLPK_logical *wantz, - __CLPK_logical *select, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, - __CLPK_integer *ldb, __CLPK_complex *alpha, __CLPK_complex *beta, __CLPK_complex *q, __CLPK_integer *ldq, - __CLPK_complex *z__, __CLPK_integer *ldz, __CLPK_integer *m, __CLPK_real *pl, __CLPK_real *pr, __CLPK_real * - dif, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgsja_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *a, __CLPK_integer * - lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_real *tola, __CLPK_real *tolb, __CLPK_real *alpha, - __CLPK_real *beta, __CLPK_complex *u, __CLPK_integer *ldu, __CLPK_complex *v, __CLPK_integer *ldv, - __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *work, __CLPK_integer *ncycle, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *vl, __CLPK_integer *ldvl, __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_real *s, __CLPK_real - *dif, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer - *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgsy2_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *d__, __CLPK_integer *ldd, __CLPK_complex *e, __CLPK_integer *lde, - __CLPK_complex *f, __CLPK_integer *ldf, __CLPK_real *scale, __CLPK_real *rdsum, __CLPK_real *rdscal, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctgsyl_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *d__, __CLPK_integer *ldd, __CLPK_complex *e, __CLPK_integer *lde, - __CLPK_complex *f, __CLPK_integer *ldf, __CLPK_real *scale, __CLPK_real *dif, __CLPK_complex *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctpcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_complex *ap, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctprfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_complex *ap, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_complex *x, - __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctptri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_complex *ap, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctptrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_complex *ap, __CLPK_complex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctpttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex * - ap, __CLPK_complex *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctpttr_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_real *rcond, __CLPK_complex *work, __CLPK_real *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *vl, __CLPK_integer *ldvl, - __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_complex *work, - __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrexc_(char *compq, __CLPK_integer *n, __CLPK_complex *t, __CLPK_integer * - ldt, __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_integer *ifst, __CLPK_integer *ilst, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_complex *work, __CLPK_real - *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrsen_(char *job, char *compq, __CLPK_logical *select, __CLPK_integer - *n, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *w, - __CLPK_integer *m, __CLPK_real *s, __CLPK_real *sep, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_complex *t, __CLPK_integer *ldt, __CLPK_complex *vl, __CLPK_integer *ldvl, - __CLPK_complex *vr, __CLPK_integer *ldvr, __CLPK_real *s, __CLPK_real *sep, __CLPK_integer *mm, __CLPK_integer * - m, __CLPK_complex *work, __CLPK_integer *ldwork, __CLPK_real *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrsyl_(char *trana, char *tranb, __CLPK_integer *isgn, __CLPK_integer - *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_real *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrti2_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrtri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctrttp_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctzrqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ctzrzf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cung2l_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cung2r_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungbr_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunghr_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex * - a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunglq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungql_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungqr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungrq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, - __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cungtr_(char *uplo, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, - __CLPK_complex *tau, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunm2l_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunm2r_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmbr_(char *vect, char *side, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmhr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunml2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmlq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmql_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmqr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmr2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmr3_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmrq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmrz_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, - __CLPK_complex *c__, __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cunmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda, __CLPK_complex *tau, __CLPK_complex *c__, - __CLPK_integer *ldc, __CLPK_complex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cupgtr_(char *uplo, __CLPK_integer *n, __CLPK_complex *ap, __CLPK_complex * - tau, __CLPK_complex *q, __CLPK_integer *ldq, __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int cupmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_complex *ap, __CLPK_complex *tau, __CLPK_complex *c__, __CLPK_integer *ldc, - __CLPK_complex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dbdsdc_(char *uplo, char *compq, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *vt, - __CLPK_integer *ldvt, __CLPK_doublereal *q, __CLPK_integer *iq, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dbdsqr_(char *uplo, __CLPK_integer *n, __CLPK_integer *ncvt, __CLPK_integer * - nru, __CLPK_integer *ncc, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *vt, - __CLPK_integer *ldvt, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *c__, __CLPK_integer * - ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ddisna_(char *job, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *sep, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbbrd_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *ncc, - __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *pt, - __CLPK_integer *ldpt, __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbcon_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_doublereal *anorm, - __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *afb, - __CLPK_integer *ldafb, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbsv_(__CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_integer * - nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer *kl, - __CLPK_integer *ku, __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, - __CLPK_doublereal *afb, __CLPK_integer *ldafb, __CLPK_integer *ipiv, char *equed, - __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbtf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbtrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgbtrs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgebak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublereal *scale, __CLPK_integer *m, __CLPK_doublereal *v, __CLPK_integer * - ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgebal_(char *job, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgebd2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tauq, __CLPK_doublereal * - taup, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgebrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tauq, __CLPK_doublereal * - taup, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgecon_(char *norm, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, __CLPK_doublereal - *colcnd, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, __CLPK_doublereal - *colcnd, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgees_(char *jobvs, char *sort, __CLPK_L_fp select, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_doublereal *wr, - __CLPK_doublereal *wi, __CLPK_doublereal *vs, __CLPK_integer *ldvs, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeesx_(char *jobvs, char *sort, __CLPK_L_fp select, char * - sense, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *sdim, - __CLPK_doublereal *wr, __CLPK_doublereal *wi, __CLPK_doublereal *vs, __CLPK_integer *ldvs, - __CLPK_doublereal *rconde, __CLPK_doublereal *rcondv, __CLPK_doublereal *work, __CLPK_integer * - lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *wr, __CLPK_doublereal *wi, __CLPK_doublereal *vl, - __CLPK_integer *ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *wr, - __CLPK_doublereal *wi, __CLPK_doublereal *vl, __CLPK_integer *ldvl, __CLPK_doublereal *vr, - __CLPK_integer *ldvr, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *scale, - __CLPK_doublereal *abnrm, __CLPK_doublereal *rconde, __CLPK_doublereal *rcondv, __CLPK_doublereal - *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgegs_(char *jobvsl, char *jobvsr, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - alphar, __CLPK_doublereal *alphai, __CLPK_doublereal *beta, __CLPK_doublereal *vsl, - __CLPK_integer *ldvsl, __CLPK_doublereal *vsr, __CLPK_integer *ldvsr, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgegv_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *alphar, - __CLPK_doublereal *alphai, __CLPK_doublereal *beta, __CLPK_doublereal *vl, __CLPK_integer *ldvl, - __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgehd2_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgehrd_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgejsv_(char *joba, char *jobu, char *jobv, char *jobr, - char *jobt, char *jobp, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, - __CLPK_integer *lda, __CLPK_doublereal *sva, __CLPK_doublereal *u, __CLPK_integer *ldu, - __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgels_(char *trans, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelsd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - s, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelss_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - s, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelsx_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - jpvt, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublereal *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgelsy_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - jpvt, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublereal *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeql2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeqlf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeqp3_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *jpvt, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeqpf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *jpvt, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeqr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgeqrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgerfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, __CLPK_integer * - ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgerq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgerqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesc2_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *rhs, __CLPK_integer *ipiv, __CLPK_integer *jpiv, __CLPK_doublereal *scale) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesdd_(char *jobz, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *u, __CLPK_integer *ldu, - __CLPK_doublereal *vt, __CLPK_integer *ldvt, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *a, __CLPK_integer - *lda, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesvd_(char *jobu, char *jobvt, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *u, __CLPK_integer * - ldu, __CLPK_doublereal *vt, __CLPK_integer *ldvt, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesvj_(char *joba, char *jobu, char *jobv, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *sva, __CLPK_integer *mv, - __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgesvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, - __CLPK_integer *ipiv, char *equed, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgetc2_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer - *ipiv, __CLPK_integer *jpiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgetf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgetrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgetri_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer - *ipiv, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgetrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggbak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, __CLPK_integer *m, - __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggbal_(char *job, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, __CLPK_doublereal *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgges_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_doublereal *alphar, __CLPK_doublereal *alphai, - __CLPK_doublereal *beta, __CLPK_doublereal *vsl, __CLPK_integer *ldvsl, __CLPK_doublereal *vsr, - __CLPK_integer *ldvsr, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_logical *bwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggesx_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, char *sense, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_doublereal *alphar, - __CLPK_doublereal *alphai, __CLPK_doublereal *beta, __CLPK_doublereal *vsl, __CLPK_integer *ldvsl, - __CLPK_doublereal *vsr, __CLPK_integer *ldvsr, __CLPK_doublereal *rconde, __CLPK_doublereal * - rcondv, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - liwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *alphar, - __CLPK_doublereal *alphai, __CLPK_doublereal *beta, __CLPK_doublereal *vl, __CLPK_integer *ldvl, - __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *alphar, __CLPK_doublereal *alphai, __CLPK_doublereal * - beta, __CLPK_doublereal *vl, __CLPK_integer *ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, - __CLPK_doublereal *abnrm, __CLPK_doublereal *bbnrm, __CLPK_doublereal *rconde, __CLPK_doublereal * - rcondv, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_logical * - bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggglm_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *d__, - __CLPK_doublereal *x, __CLPK_doublereal *y, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgghrd_(char *compq, char *compz, __CLPK_integer *n, __CLPK_integer * - ilo, __CLPK_integer *ihi, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *z__, __CLPK_integer * - ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgglse_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *p, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *c__, - __CLPK_doublereal *d__, __CLPK_doublereal *x, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggqrf_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *taua, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *taub, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggrqf_(__CLPK_integer *m, __CLPK_integer *p, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *taua, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *taub, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggsvd_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *p, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublereal *a, - __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *alpha, - __CLPK_doublereal *beta, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *v, __CLPK_integer - *ldv, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dggsvp_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *tola, __CLPK_doublereal *tolb, __CLPK_integer *k, __CLPK_integer - *l, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *v, __CLPK_integer *ldv, - __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *iwork, __CLPK_doublereal *tau, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgsvj0_(char *jobv, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *sva, __CLPK_integer *mv, - __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *eps, __CLPK_doublereal *sfmin, - __CLPK_doublereal *tol, __CLPK_integer *nsweep, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgsvj1_(char *jobv, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *n1, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *sva, - __CLPK_integer *mv, __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *eps, __CLPK_doublereal - *sfmin, __CLPK_doublereal *tol, __CLPK_integer *nsweep, __CLPK_doublereal *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgtcon_(char *norm, __CLPK_integer *n, __CLPK_doublereal *dl, - __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal *du2, __CLPK_integer *ipiv, - __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgtrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *dl, __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal *dlf, - __CLPK_doublereal *df, __CLPK_doublereal *duf, __CLPK_doublereal *du2, __CLPK_integer *ipiv, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgtsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *dl, - __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgtsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *dl, __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal * - dlf, __CLPK_doublereal *df, __CLPK_doublereal *duf, __CLPK_doublereal *du2, __CLPK_integer *ipiv, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgttrf_(__CLPK_integer *n, __CLPK_doublereal *dl, __CLPK_doublereal *d__, - __CLPK_doublereal *du, __CLPK_doublereal *du2, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgttrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *dl, __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal *du2, - __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dgtts2_(__CLPK_integer *itrans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *dl, __CLPK_doublereal *d__, __CLPK_doublereal *du, __CLPK_doublereal *du2, - __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dhgeqz_(char *job, char *compq, char *compz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal - *t, __CLPK_integer *ldt, __CLPK_doublereal *alphar, __CLPK_doublereal *alphai, __CLPK_doublereal * - beta, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *z__, __CLPK_integer *ldz, - __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dhsein_(char *side, char *eigsrc, char *initv, __CLPK_logical * - select, __CLPK_integer *n, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal *wr, - __CLPK_doublereal *wi, __CLPK_doublereal *vl, __CLPK_integer *ldvl, __CLPK_doublereal *vr, - __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublereal *work, __CLPK_integer * - ifaill, __CLPK_integer *ifailr, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dhseqr_(char *job, char *compz, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal *wr, - __CLPK_doublereal *wi, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_logical disnan_(__CLPK_doublereal *din) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlabad_(__CLPK_doublereal *small, __CLPK_doublereal *large) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlabrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tauq, - __CLPK_doublereal *taup, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *y, __CLPK_integer - *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlacn2_(__CLPK_integer *n, __CLPK_doublereal *v, __CLPK_doublereal *x, - __CLPK_integer *isgn, __CLPK_doublereal *est, __CLPK_integer *kase, __CLPK_integer *isave) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlacon_(__CLPK_integer *n, __CLPK_doublereal *v, __CLPK_doublereal *x, - __CLPK_integer *isgn, __CLPK_doublereal *est, __CLPK_integer *kase) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlacpy_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dladiv_(__CLPK_doublereal *a, __CLPK_doublereal *b, __CLPK_doublereal *c__, - __CLPK_doublereal *d__, __CLPK_doublereal *p, __CLPK_doublereal *q) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlae2_(__CLPK_doublereal *a, __CLPK_doublereal *b, __CLPK_doublereal *c__, - __CLPK_doublereal *rt1, __CLPK_doublereal *rt2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaebz_(__CLPK_integer *ijob, __CLPK_integer *nitmax, __CLPK_integer *n, - __CLPK_integer *mmax, __CLPK_integer *minp, __CLPK_integer *nbmin, __CLPK_doublereal *abstol, - __CLPK_doublereal *reltol, __CLPK_doublereal *pivmin, __CLPK_doublereal *d__, __CLPK_doublereal * - e, __CLPK_doublereal *e2, __CLPK_integer *nval, __CLPK_doublereal *ab, __CLPK_doublereal *c__, - __CLPK_integer *mout, __CLPK_integer *nab, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed0_(__CLPK_integer *icompq, __CLPK_integer *qsiz, __CLPK_integer *n, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *q, __CLPK_integer *ldq, - __CLPK_doublereal *qstore, __CLPK_integer *ldqs, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed1_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *q, - __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_doublereal *rho, __CLPK_integer *cutpnt, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed2_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *n1, __CLPK_doublereal * - d__, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_doublereal *rho, - __CLPK_doublereal *z__, __CLPK_doublereal *dlamda, __CLPK_doublereal *w, __CLPK_doublereal *q2, - __CLPK_integer *indx, __CLPK_integer *indxc, __CLPK_integer *indxp, __CLPK_integer *coltyp, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed3_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *n1, __CLPK_doublereal * - d__, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *rho, __CLPK_doublereal *dlamda, - __CLPK_doublereal *q2, __CLPK_integer *indx, __CLPK_integer *ctot, __CLPK_doublereal *w, - __CLPK_doublereal *s, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed4_(__CLPK_integer *n, __CLPK_integer *i__, __CLPK_doublereal *d__, - __CLPK_doublereal *z__, __CLPK_doublereal *delta, __CLPK_doublereal *rho, __CLPK_doublereal *dlam, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed5_(__CLPK_integer *i__, __CLPK_doublereal *d__, __CLPK_doublereal *z__, - __CLPK_doublereal *delta, __CLPK_doublereal *rho, __CLPK_doublereal *dlam) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed6_(__CLPK_integer *kniter, __CLPK_logical *orgati, __CLPK_doublereal * - rho, __CLPK_doublereal *d__, __CLPK_doublereal *z__, __CLPK_doublereal *finit, __CLPK_doublereal * - tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed7_(__CLPK_integer *icompq, __CLPK_integer *n, __CLPK_integer *qsiz, - __CLPK_integer *tlvls, __CLPK_integer *curlvl, __CLPK_integer *curpbm, __CLPK_doublereal *d__, - __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_doublereal *rho, __CLPK_integer - *cutpnt, __CLPK_doublereal *qstore, __CLPK_integer *qptr, __CLPK_integer *prmptr, __CLPK_integer * - perm, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_doublereal *givnum, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed8_(__CLPK_integer *icompq, __CLPK_integer *k, __CLPK_integer *n, __CLPK_integer - *qsiz, __CLPK_doublereal *d__, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *indxq, - __CLPK_doublereal *rho, __CLPK_integer *cutpnt, __CLPK_doublereal *z__, __CLPK_doublereal *dlamda, - __CLPK_doublereal *q2, __CLPK_integer *ldq2, __CLPK_doublereal *w, __CLPK_integer *perm, __CLPK_integer - *givptr, __CLPK_integer *givcol, __CLPK_doublereal *givnum, __CLPK_integer *indxp, __CLPK_integer - *indx, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaed9_(__CLPK_integer *k, __CLPK_integer *kstart, __CLPK_integer *kstop, - __CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal * - rho, __CLPK_doublereal *dlamda, __CLPK_doublereal *w, __CLPK_doublereal *s, __CLPK_integer *lds, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaeda_(__CLPK_integer *n, __CLPK_integer *tlvls, __CLPK_integer *curlvl, - __CLPK_integer *curpbm, __CLPK_integer *prmptr, __CLPK_integer *perm, __CLPK_integer *givptr, - __CLPK_integer *givcol, __CLPK_doublereal *givnum, __CLPK_doublereal *q, __CLPK_integer *qptr, - __CLPK_doublereal *z__, __CLPK_doublereal *ztemp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaein_(__CLPK_logical *rightv, __CLPK_logical *noinit, __CLPK_integer *n, - __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal *wr, __CLPK_doublereal *wi, - __CLPK_doublereal *vr, __CLPK_doublereal *vi, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *work, __CLPK_doublereal *eps3, __CLPK_doublereal *smlnum, __CLPK_doublereal * - bignum, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaev2_(__CLPK_doublereal *a, __CLPK_doublereal *b, __CLPK_doublereal *c__, - __CLPK_doublereal *rt1, __CLPK_doublereal *rt2, __CLPK_doublereal *cs1, __CLPK_doublereal *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaexc_(__CLPK_logical *wantq, __CLPK_integer *n, __CLPK_doublereal *t, - __CLPK_integer *ldt, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *j1, __CLPK_integer *n1, - __CLPK_integer *n2, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlag2_(__CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *safmin, __CLPK_doublereal *scale1, __CLPK_doublereal * - scale2, __CLPK_doublereal *wr1, __CLPK_doublereal *wr2, __CLPK_doublereal *wi) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlag2s_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_real *sa, __CLPK_integer *ldsa, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlags2_(__CLPK_logical *upper, __CLPK_doublereal *a1, __CLPK_doublereal *a2, - __CLPK_doublereal *a3, __CLPK_doublereal *b1, __CLPK_doublereal *b2, __CLPK_doublereal *b3, - __CLPK_doublereal *csu, __CLPK_doublereal *snu, __CLPK_doublereal *csv, __CLPK_doublereal *snv, - __CLPK_doublereal *csq, __CLPK_doublereal *snq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlagtf_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_doublereal *lambda, - __CLPK_doublereal *b, __CLPK_doublereal *c__, __CLPK_doublereal *tol, __CLPK_doublereal *d__, - __CLPK_integer *in, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlagtm_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *alpha, __CLPK_doublereal *dl, __CLPK_doublereal *d__, __CLPK_doublereal *du, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *beta, __CLPK_doublereal *b, __CLPK_integer - *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlagts_(__CLPK_integer *job, __CLPK_integer *n, __CLPK_doublereal *a, - __CLPK_doublereal *b, __CLPK_doublereal *c__, __CLPK_doublereal *d__, __CLPK_integer *in, - __CLPK_doublereal *y, __CLPK_doublereal *tol, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlagv2_(__CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *alphar, __CLPK_doublereal *alphai, __CLPK_doublereal * - beta, __CLPK_doublereal *csl, __CLPK_doublereal *snl, __CLPK_doublereal *csr, __CLPK_doublereal * - snr) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlahqr_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal - *wr, __CLPK_doublereal *wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlahr2_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *t, __CLPK_integer *ldt, - __CLPK_doublereal *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlahrd_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *t, __CLPK_integer *ldt, - __CLPK_doublereal *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaic1_(__CLPK_integer *job, __CLPK_integer *j, __CLPK_doublereal *x, - __CLPK_doublereal *sest, __CLPK_doublereal *w, __CLPK_doublereal *gamma, __CLPK_doublereal * - sestpr, __CLPK_doublereal *s, __CLPK_doublereal *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_logical dlaisnan_(__CLPK_doublereal *din1, __CLPK_doublereal *din2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaln2_(__CLPK_logical *ltrans, __CLPK_integer *na, __CLPK_integer *nw, - __CLPK_doublereal *smin, __CLPK_doublereal *ca, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *d1, __CLPK_doublereal *d2, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *wr, __CLPK_doublereal *wi, __CLPK_doublereal *x, __CLPK_integer *ldx, - __CLPK_doublereal *scale, __CLPK_doublereal *xnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlals0_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *nrhs, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal - *bx, __CLPK_integer *ldbx, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_integer *ldgcol, __CLPK_doublereal *givnum, __CLPK_integer *ldgnum, __CLPK_doublereal * - poles, __CLPK_doublereal *difl, __CLPK_doublereal *difr, __CLPK_doublereal *z__, __CLPK_integer * - k, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlalsa_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *bx, __CLPK_integer * - ldbx, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *vt, __CLPK_integer *k, - __CLPK_doublereal *difl, __CLPK_doublereal *difr, __CLPK_doublereal *z__, __CLPK_doublereal * - poles, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_integer * - perm, __CLPK_doublereal *givnum, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublereal * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlalsd_(char *uplo, __CLPK_integer *smlsiz, __CLPK_integer *n, __CLPK_integer - *nrhs, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamrg_(__CLPK_integer *n1, __CLPK_integer *n2, __CLPK_doublereal *a, __CLPK_integer - *dtrd1, __CLPK_integer *dtrd2, __CLPK_integer *index) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer dlaneg_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *lld, __CLPK_doublereal * - sigma, __CLPK_doublereal *pivmin, __CLPK_integer *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlangb_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlange_(char *norm, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer - *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlangt_(char *norm, __CLPK_integer *n, __CLPK_doublereal *dl, __CLPK_doublereal *d__, - __CLPK_doublereal *du) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlanhs_(char *norm, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlansb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal - *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlansf_(char *norm, char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlansp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlanst_(char *norm, __CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlansy_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer - *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlantb_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlantp_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_doublereal - *ap, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlantr_(char *norm, char *uplo, char *diag, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlanv2_(__CLPK_doublereal *a, __CLPK_doublereal *b, __CLPK_doublereal *c__, - __CLPK_doublereal *d__, __CLPK_doublereal *rt1r, __CLPK_doublereal *rt1i, __CLPK_doublereal *rt2r, - __CLPK_doublereal *rt2i, __CLPK_doublereal *cs, __CLPK_doublereal *sn) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlapll_(__CLPK_integer *n, __CLPK_doublereal *x, __CLPK_integer *incx, - __CLPK_doublereal *y, __CLPK_integer *incy, __CLPK_doublereal *ssmin) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlapmt_(__CLPK_logical *forwrd, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_integer *k) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlapy2_(__CLPK_doublereal *x, __CLPK_doublereal *y) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlapy3_(__CLPK_doublereal *x, __CLPK_doublereal *y, __CLPK_doublereal *z__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqgb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqge_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, __CLPK_doublereal - *colcnd, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqp2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_doublereal *tau, - __CLPK_doublereal *vn1, __CLPK_doublereal *vn2, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqps_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_integer - *nb, __CLPK_integer *kb, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *jpvt, - __CLPK_doublereal *tau, __CLPK_doublereal *vn1, __CLPK_doublereal *vn2, __CLPK_doublereal *auxv, - __CLPK_doublereal *f, __CLPK_integer *ldf) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr0_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal - *wr, __CLPK_doublereal *wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr1_(__CLPK_integer *n, __CLPK_doublereal *h__, __CLPK_integer *ldh, - __CLPK_doublereal *sr1, __CLPK_doublereal *si1, __CLPK_doublereal *sr2, __CLPK_doublereal *si2, - __CLPK_doublereal *v) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr2_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_doublereal *h__, __CLPK_integer * - ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublereal *z__, __CLPK_integer *ldz, - __CLPK_integer *ns, __CLPK_integer *nd, __CLPK_doublereal *sr, __CLPK_doublereal *si, __CLPK_doublereal * - v, __CLPK_integer *ldv, __CLPK_integer *nh, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_integer * - nv, __CLPK_doublereal *wv, __CLPK_integer *ldwv, __CLPK_doublereal *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr3_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_doublereal *h__, __CLPK_integer * - ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublereal *z__, __CLPK_integer *ldz, - __CLPK_integer *ns, __CLPK_integer *nd, __CLPK_doublereal *sr, __CLPK_doublereal *si, __CLPK_doublereal * - v, __CLPK_integer *ldv, __CLPK_integer *nh, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_integer * - nv, __CLPK_doublereal *wv, __CLPK_integer *ldwv, __CLPK_doublereal *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr4_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_doublereal - *wr, __CLPK_doublereal *wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqr5_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *kacc22, - __CLPK_integer *n, __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nshfts, __CLPK_doublereal - *sr, __CLPK_doublereal *si, __CLPK_doublereal *h__, __CLPK_integer *ldh, __CLPK_integer *iloz, - __CLPK_integer *ihiz, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *v, __CLPK_integer * - ldv, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_integer *nv, __CLPK_doublereal *wv, - __CLPK_integer *ldwv, __CLPK_integer *nh, __CLPK_doublereal *wh, __CLPK_integer *ldwh) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqsb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqsp_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqsy_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaqtr_(__CLPK_logical *ltran, __CLPK_logical *l__CLPK_real, __CLPK_integer *n, - __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *b, __CLPK_doublereal *w, __CLPK_doublereal - *scale, __CLPK_doublereal *x, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlar1v_(__CLPK_integer *n, __CLPK_integer *b1, __CLPK_integer *bn, __CLPK_doublereal - *lambda, __CLPK_doublereal *d__, __CLPK_doublereal *l, __CLPK_doublereal *ld, __CLPK_doublereal * - lld, __CLPK_doublereal *pivmin, __CLPK_doublereal *gaptol, __CLPK_doublereal *z__, __CLPK_logical - *wantnc, __CLPK_integer *negcnt, __CLPK_doublereal *ztz, __CLPK_doublereal *mingma, - __CLPK_integer *r__, __CLPK_integer *isuppz, __CLPK_doublereal *nrminv, __CLPK_doublereal *resid, - __CLPK_doublereal *rqcorr, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlar2v_(__CLPK_integer *n, __CLPK_doublereal *x, __CLPK_doublereal *y, - __CLPK_doublereal *z__, __CLPK_integer *incx, __CLPK_doublereal *c__, __CLPK_doublereal *s, - __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarf_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *v, - __CLPK_integer *incv, __CLPK_doublereal *tau, __CLPK_doublereal *c__, __CLPK_integer *ldc, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarfb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal *v, __CLPK_integer * - ldv, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *c__, __CLPK_integer *ldc, - __CLPK_doublereal *work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarfg_(__CLPK_integer *n, __CLPK_doublereal *alpha, __CLPK_doublereal *x, - __CLPK_integer *incx, __CLPK_doublereal *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarfp_(__CLPK_integer *n, __CLPK_doublereal *alpha, __CLPK_doublereal *x, - __CLPK_integer *incx, __CLPK_doublereal *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarft_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *tau, __CLPK_doublereal *t, - __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarfx_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - v, __CLPK_doublereal *tau, __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlargv_(__CLPK_integer *n, __CLPK_doublereal *x, __CLPK_integer *incx, - __CLPK_doublereal *y, __CLPK_integer *incy, __CLPK_doublereal *c__, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarnv_(__CLPK_integer *idist, __CLPK_integer *iseed, __CLPK_integer *n, - __CLPK_doublereal *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarra_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublereal *e2, __CLPK_doublereal *spltol, __CLPK_doublereal *tnrm, __CLPK_integer *nsplit, - __CLPK_integer *isplit, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrb_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *lld, - __CLPK_integer *ifirst, __CLPK_integer *ilast, __CLPK_doublereal *rtol1, __CLPK_doublereal *rtol2, - __CLPK_integer *offset, __CLPK_doublereal *w, __CLPK_doublereal *wgap, __CLPK_doublereal *werr, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_doublereal *pivmin, __CLPK_doublereal * - spdiam, __CLPK_integer *twist, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrc_(char *jobt, __CLPK_integer *n, __CLPK_doublereal *vl, - __CLPK_doublereal *vu, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *pivmin, - __CLPK_integer *eigcnt, __CLPK_integer *lcnt, __CLPK_integer *rcnt, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrd_(char *range, char *order, __CLPK_integer *n, __CLPK_doublereal - *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *gers, - __CLPK_doublereal *reltol, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *e2, - __CLPK_doublereal *pivmin, __CLPK_integer *nsplit, __CLPK_integer *isplit, __CLPK_integer *m, - __CLPK_doublereal *w, __CLPK_doublereal *werr, __CLPK_doublereal *wl, __CLPK_doublereal *wu, - __CLPK_integer *iblock, __CLPK_integer *indexw, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarre_(char *range, __CLPK_integer *n, __CLPK_doublereal *vl, - __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *d__, __CLPK_doublereal - *e, __CLPK_doublereal *e2, __CLPK_doublereal *rtol1, __CLPK_doublereal *rtol2, __CLPK_doublereal * - spltol, __CLPK_integer *nsplit, __CLPK_integer *isplit, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *werr, __CLPK_doublereal *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, - __CLPK_doublereal *gers, __CLPK_doublereal *pivmin, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrf_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *l, - __CLPK_doublereal *ld, __CLPK_integer *clstrt, __CLPK_integer *clend, __CLPK_doublereal *w, - __CLPK_doublereal *wgap, __CLPK_doublereal *werr, __CLPK_doublereal *spdiam, __CLPK_doublereal * - clgapl, __CLPK_doublereal *clgapr, __CLPK_doublereal *pivmin, __CLPK_doublereal *sigma, - __CLPK_doublereal *dplus, __CLPK_doublereal *lplus, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrj_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e2, - __CLPK_integer *ifirst, __CLPK_integer *ilast, __CLPK_doublereal *rtol, __CLPK_integer *offset, - __CLPK_doublereal *w, __CLPK_doublereal *werr, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_doublereal *pivmin, __CLPK_doublereal *spdiam, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrk_(__CLPK_integer *n, __CLPK_integer *iw, __CLPK_doublereal *gl, - __CLPK_doublereal *gu, __CLPK_doublereal *d__, __CLPK_doublereal *e2, __CLPK_doublereal *pivmin, - __CLPK_doublereal *reltol, __CLPK_doublereal *w, __CLPK_doublereal *werr, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrr_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarrv_(__CLPK_integer *n, __CLPK_doublereal *vl, __CLPK_doublereal *vu, - __CLPK_doublereal *d__, __CLPK_doublereal *l, __CLPK_doublereal *pivmin, __CLPK_integer *isplit, - __CLPK_integer *m, __CLPK_integer *dol, __CLPK_integer *dou, __CLPK_doublereal *minrgp, - __CLPK_doublereal *rtol1, __CLPK_doublereal *rtol2, __CLPK_doublereal *w, __CLPK_doublereal *werr, - __CLPK_doublereal *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, __CLPK_doublereal *gers, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarscl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *x, __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlartg_(__CLPK_doublereal *f, __CLPK_doublereal *g, __CLPK_doublereal *cs, - __CLPK_doublereal *sn, __CLPK_doublereal *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlartv_(__CLPK_integer *n, __CLPK_doublereal *x, __CLPK_integer *incx, - __CLPK_doublereal *y, __CLPK_integer *incy, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_integer - *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaruv_(__CLPK_integer *iseed, __CLPK_integer *n, __CLPK_doublereal *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarz_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, - __CLPK_doublereal *v, __CLPK_integer *incv, __CLPK_doublereal *tau, __CLPK_doublereal *c__, - __CLPK_integer *ldc, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarzb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublereal *v, - __CLPK_integer *ldv, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *c__, __CLPK_integer * - ldc, __CLPK_doublereal *work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlarzt_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *tau, __CLPK_doublereal *t, - __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlas2_(__CLPK_doublereal *f, __CLPK_doublereal *g, __CLPK_doublereal *h__, - __CLPK_doublereal *ssmin, __CLPK_doublereal *ssmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlascl_(char *type__, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *cfrom, __CLPK_doublereal *cto, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlascl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *x, __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd0_(__CLPK_integer *n, __CLPK_integer *sqre, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *vt, __CLPK_integer * - ldvt, __CLPK_integer *smlsiz, __CLPK_integer *iwork, __CLPK_doublereal *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd1_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, - __CLPK_doublereal *d__, __CLPK_doublereal *alpha, __CLPK_doublereal *beta, __CLPK_doublereal *u, - __CLPK_integer *ldu, __CLPK_doublereal *vt, __CLPK_integer *ldvt, __CLPK_integer *idxq, __CLPK_integer * - iwork, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd2_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, __CLPK_integer - *k, __CLPK_doublereal *d__, __CLPK_doublereal *z__, __CLPK_doublereal *alpha, __CLPK_doublereal * - beta, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *vt, __CLPK_integer *ldvt, - __CLPK_doublereal *dsigma, __CLPK_doublereal *u2, __CLPK_integer *ldu2, __CLPK_doublereal *vt2, - __CLPK_integer *ldvt2, __CLPK_integer *idxp, __CLPK_integer *idx, __CLPK_integer *idxc, __CLPK_integer * - idxq, __CLPK_integer *coltyp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd3_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, __CLPK_integer - *k, __CLPK_doublereal *d__, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *dsigma, - __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *u2, __CLPK_integer *ldu2, - __CLPK_doublereal *vt, __CLPK_integer *ldvt, __CLPK_doublereal *vt2, __CLPK_integer *ldvt2, - __CLPK_integer *idxc, __CLPK_integer *ctot, __CLPK_doublereal *z__, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd4_(__CLPK_integer *n, __CLPK_integer *i__, __CLPK_doublereal *d__, - __CLPK_doublereal *z__, __CLPK_doublereal *delta, __CLPK_doublereal *rho, __CLPK_doublereal * - sigma, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd5_(__CLPK_integer *i__, __CLPK_doublereal *d__, __CLPK_doublereal *z__, - __CLPK_doublereal *delta, __CLPK_doublereal *rho, __CLPK_doublereal *dsigma, __CLPK_doublereal * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd6_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_doublereal *d__, __CLPK_doublereal *vf, __CLPK_doublereal *vl, - __CLPK_doublereal *alpha, __CLPK_doublereal *beta, __CLPK_integer *idxq, __CLPK_integer *perm, - __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_doublereal *givnum, - __CLPK_integer *ldgnum, __CLPK_doublereal *poles, __CLPK_doublereal *difl, __CLPK_doublereal * - difr, __CLPK_doublereal *z__, __CLPK_integer *k, __CLPK_doublereal *c__, __CLPK_doublereal *s, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd7_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *k, __CLPK_doublereal *d__, __CLPK_doublereal *z__, - __CLPK_doublereal *zw, __CLPK_doublereal *vf, __CLPK_doublereal *vfw, __CLPK_doublereal *vl, - __CLPK_doublereal *vlw, __CLPK_doublereal *alpha, __CLPK_doublereal *beta, __CLPK_doublereal * - dsigma, __CLPK_integer *idx, __CLPK_integer *idxp, __CLPK_integer *idxq, __CLPK_integer *perm, - __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_doublereal *givnum, - __CLPK_integer *ldgnum, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasd8_(__CLPK_integer *icompq, __CLPK_integer *k, __CLPK_doublereal *d__, - __CLPK_doublereal *z__, __CLPK_doublereal *vf, __CLPK_doublereal *vl, __CLPK_doublereal *difl, - __CLPK_doublereal *difr, __CLPK_integer *lddifr, __CLPK_doublereal *dsigma, __CLPK_doublereal * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasda_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *sqre, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *u, __CLPK_integer - *ldu, __CLPK_doublereal *vt, __CLPK_integer *k, __CLPK_doublereal *difl, __CLPK_doublereal *difr, - __CLPK_doublereal *z__, __CLPK_doublereal *poles, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_integer *ldgcol, __CLPK_integer *perm, __CLPK_doublereal *givnum, __CLPK_doublereal *c__, - __CLPK_doublereal *s, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasdq_(char *uplo, __CLPK_integer *sqre, __CLPK_integer *n, __CLPK_integer * - ncvt, __CLPK_integer *nru, __CLPK_integer *ncc, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublereal *vt, __CLPK_integer *ldvt, __CLPK_doublereal *u, __CLPK_integer *ldu, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasdt_(__CLPK_integer *n, __CLPK_integer *lvl, __CLPK_integer *nd, __CLPK_integer * - inode, __CLPK_integer *ndiml, __CLPK_integer *ndimr, __CLPK_integer *msub) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaset_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - alpha, __CLPK_doublereal *beta, __CLPK_doublereal *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq1_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq2_(__CLPK_integer *n, __CLPK_doublereal *z__, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq3_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_doublereal *z__, - __CLPK_integer *pp, __CLPK_doublereal *dmin__, __CLPK_doublereal *sigma, __CLPK_doublereal *desig, - __CLPK_doublereal *qmax, __CLPK_integer *nfail, __CLPK_integer *iter, __CLPK_integer *ndiv, - __CLPK_logical *ieee, __CLPK_integer *ttype, __CLPK_doublereal *dmin1, __CLPK_doublereal *dmin2, - __CLPK_doublereal *dn, __CLPK_doublereal *dn1, __CLPK_doublereal *dn2, __CLPK_doublereal *g, - __CLPK_doublereal *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq4_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_doublereal *z__, - __CLPK_integer *pp, __CLPK_integer *n0in, __CLPK_doublereal *dmin__, __CLPK_doublereal *dmin1, - __CLPK_doublereal *dmin2, __CLPK_doublereal *dn, __CLPK_doublereal *dn1, __CLPK_doublereal *dn2, - __CLPK_doublereal *tau, __CLPK_integer *ttype, __CLPK_doublereal *g) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq5_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_doublereal *z__, - __CLPK_integer *pp, __CLPK_doublereal *tau, __CLPK_doublereal *dmin__, __CLPK_doublereal *dmin1, - __CLPK_doublereal *dmin2, __CLPK_doublereal *dn, __CLPK_doublereal *dnm1, __CLPK_doublereal *dnm2, - __CLPK_logical *ieee) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasq6_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_doublereal *z__, - __CLPK_integer *pp, __CLPK_doublereal *dmin__, __CLPK_doublereal *dmin1, __CLPK_doublereal *dmin2, - __CLPK_doublereal *dn, __CLPK_doublereal *dnm1, __CLPK_doublereal *dnm2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasr_(char *side, char *pivot, char *direct, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublereal *a, __CLPK_integer * - lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasrt_(char *id, __CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlassq_(__CLPK_integer *n, __CLPK_doublereal *x, __CLPK_integer *incx, - __CLPK_doublereal *scale, __CLPK_doublereal *sumsq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasv2_(__CLPK_doublereal *f, __CLPK_doublereal *g, __CLPK_doublereal *h__, - __CLPK_doublereal *ssmin, __CLPK_doublereal *ssmax, __CLPK_doublereal *snr, __CLPK_doublereal * - csr, __CLPK_doublereal *snl, __CLPK_doublereal *csl) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlaswp_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer - *k1, __CLPK_integer *k2, __CLPK_integer *ipiv, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasy2_(__CLPK_logical *ltranl, __CLPK_logical *ltranr, __CLPK_integer *isgn, - __CLPK_integer *n1, __CLPK_integer *n2, __CLPK_doublereal *tl, __CLPK_integer *ldtl, __CLPK_doublereal * - tr, __CLPK_integer *ldtr, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *scale, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *xnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlasyf_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *w, __CLPK_integer * - ldw, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlat2s_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_real *sa, __CLPK_integer *ldsa, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatbs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal *ab, __CLPK_integer *ldab, - __CLPK_doublereal *x, __CLPK_doublereal *scale, __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatdf_(__CLPK_integer *ijob, __CLPK_integer *n, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *rhs, __CLPK_doublereal *rdsum, __CLPK_doublereal *rdscal, - __CLPK_integer *ipiv, __CLPK_integer *jpiv) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatps_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_doublereal *x, __CLPK_doublereal *scale, - __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatrd_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *e, __CLPK_doublereal *tau, __CLPK_doublereal *w, - __CLPK_integer *ldw) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatrs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *x, - __CLPK_doublereal *scale, __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatrz_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlatzm_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - v, __CLPK_integer *incv, __CLPK_doublereal *tau, __CLPK_doublereal *c1, __CLPK_doublereal *c2, - __CLPK_integer *ldc, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlauu2_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlauum_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dopgtr_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *tau, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dopmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_doublereal *tau, __CLPK_doublereal *c__, __CLPK_integer - *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorg2l_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorg2r_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgbr_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorghr_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorglq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgql_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgqr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgrq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorgtr_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorm2l_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorm2r_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormbr_(char *vect, char *side, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormhr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal * - tau, __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dorml2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormlq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormql_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormqr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormr2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormr3_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormrq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormrz_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dormtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *tau, __CLPK_doublereal * - c__, __CLPK_integer *ldc, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbcon_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbequ_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *afb, __CLPK_integer *ldafb, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbstf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *afb, - __CLPK_integer *ldafb, char *equed, __CLPK_doublereal *s, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbtf2_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbtrf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublereal * - ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpbtrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpftrf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpftri_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpftrs_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *a, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpocon_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpoequ_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpoequb_(__CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dporfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal - *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dposvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, - char *equed, __CLPK_doublereal *s, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal * - berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpotf2_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpotrf_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpotri_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpotrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dppcon_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dppequ_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *ap, __CLPK_doublereal *afp, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dppsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal - *ap, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dppsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *ap, __CLPK_doublereal *afp, char *equed, __CLPK_doublereal *s, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpptrf_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpptri_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *ap, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpstf2_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_doublereal *tol, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpstrf_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_doublereal *tol, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dptcon_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpteqr_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dptrfs_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *df, __CLPK_doublereal *ef, __CLPK_doublereal *b, __CLPK_integer - *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dptsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dptsvx_(char *fact, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *df, __CLPK_doublereal *ef, - __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal * - rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpttrf_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dpttrs_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dptts2_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int drscl_(__CLPK_integer *n, __CLPK_doublereal *sa, __CLPK_doublereal *sx, - __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *q, __CLPK_integer * - ldq, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, - __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *ifail, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbgst_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *bb, __CLPK_integer * - ldbb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbgv_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *bb, __CLPK_integer * - ldbb, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbgvd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *bb, __CLPK_integer * - ldbb, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbgvx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *ka, __CLPK_integer *kb, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal * - bb, __CLPK_integer *ldbb, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *vl, - __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer - *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsbtrd_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsfrk_(char *transr, char *uplo, char *trans, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *alpha, __CLPK_doublereal *a, __CLPK_integer *lda, - __CLPK_doublereal *beta, __CLPK_doublereal *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - x, __CLPK_integer *ldx, __CLPK_doublereal *work, __CLPK_real *swork, __CLPK_integer *iter, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspcon_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_integer * - ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer - *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublereal * - ap, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublereal * - ap, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *ap, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer * - iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *ifail, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspgst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *ap, __CLPK_doublereal *bp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspgv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublereal *ap, __CLPK_doublereal *bp, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspgvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublereal *ap, __CLPK_doublereal *bp, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspgvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_doublereal *bp, __CLPK_doublereal *vl, - __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer - *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - x, __CLPK_integer *ldx, __CLPK_doublereal *work, __CLPK_real *swork, __CLPK_integer *iter, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *ap, __CLPK_doublereal *afp, __CLPK_integer *ipiv, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal - *ap, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dspsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *ap, __CLPK_doublereal *afp, __CLPK_integer *ipiv, __CLPK_doublereal *b, - __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsptrd_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsptrf_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_integer * - ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsptri_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, __CLPK_integer * - ipiv, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *ap, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstebz_(char *range, char *order, __CLPK_integer *n, __CLPK_doublereal - *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_integer *m, __CLPK_integer *nsplit, - __CLPK_doublereal *w, __CLPK_integer *iblock, __CLPK_integer *isplit, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstedc_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstegr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstein_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_integer *iblock, __CLPK_integer *isplit, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstemr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, __CLPK_integer *ldz, - __CLPK_integer *nzc, __CLPK_integer *isuppz, __CLPK_logical *tryrac, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsteqr_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsterf_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstev_(char *jobz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstevd_(char *jobz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstevr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dstevx_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsycon_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyequb_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_doublereal * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, - __CLPK_integer *lda, __CLPK_doublereal *w, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublereal *w, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyevr_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer * - il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer * - il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, - __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsygs2_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsygst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsygv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *w, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsygvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *w, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsygvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer - *ldb, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, - __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublereal *z__, - __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsyrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, __CLPK_integer * - ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsysv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal - *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsysvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *af, __CLPK_integer *ldaf, - __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer * - ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytd2_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytf2_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytrd_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublereal *tau, __CLPK_doublereal * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytrf_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytri_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_integer *ipiv, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dsytrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtbcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal *rcond, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtbrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal - *b, __CLPK_integer *ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtbtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_doublereal *ab, __CLPK_integer *ldab, __CLPK_doublereal - *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtfsm_(char *transr, char *side, char *uplo, char *trans, - char *diag, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *alpha, __CLPK_doublereal *a, - __CLPK_doublereal *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtftri_(char *transr, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtfttp_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *arf, __CLPK_doublereal *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtfttr_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *arf, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublereal *s, __CLPK_integer *lds, __CLPK_doublereal *p, __CLPK_integer *ldp, - __CLPK_doublereal *vl, __CLPK_integer *ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_integer - *mm, __CLPK_integer *m, __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgex2_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - q, __CLPK_integer *ldq, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *j1, __CLPK_integer * - n1, __CLPK_integer *n2, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgexc_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal * - q, __CLPK_integer *ldq, __CLPK_doublereal *z__, __CLPK_integer *ldz, __CLPK_integer *ifst, - __CLPK_integer *ilst, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgsen_(__CLPK_integer *ijob, __CLPK_logical *wantq, __CLPK_logical *wantz, - __CLPK_logical *select, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal * - b, __CLPK_integer *ldb, __CLPK_doublereal *alphar, __CLPK_doublereal *alphai, __CLPK_doublereal * - beta, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_doublereal *z__, __CLPK_integer *ldz, - __CLPK_integer *m, __CLPK_doublereal *pl, __CLPK_doublereal *pr, __CLPK_doublereal *dif, - __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgsja_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublereal *a, - __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublereal *tola, - __CLPK_doublereal *tolb, __CLPK_doublereal *alpha, __CLPK_doublereal *beta, __CLPK_doublereal *u, - __CLPK_integer *ldu, __CLPK_doublereal *v, __CLPK_integer *ldv, __CLPK_doublereal *q, __CLPK_integer * - ldq, __CLPK_doublereal *work, __CLPK_integer *ncycle, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *vl, __CLPK_integer *ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, - __CLPK_doublereal *s, __CLPK_doublereal *dif, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublereal * - work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgsy2_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *d__, __CLPK_integer *ldd, - __CLPK_doublereal *e, __CLPK_integer *lde, __CLPK_doublereal *f, __CLPK_integer *ldf, __CLPK_doublereal * - scale, __CLPK_doublereal *rdsum, __CLPK_doublereal *rdscal, __CLPK_integer *iwork, __CLPK_integer - *pq, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtgsyl_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *d__, __CLPK_integer *ldd, - __CLPK_doublereal *e, __CLPK_integer *lde, __CLPK_doublereal *f, __CLPK_integer *ldf, __CLPK_doublereal * - scale, __CLPK_doublereal *dif, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtpcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublereal *ap, __CLPK_doublereal *rcond, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtprfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublereal *ap, __CLPK_doublereal *b, __CLPK_integer *ldb, - __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtptri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_doublereal * - ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtptrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublereal *ap, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtpttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *ap, __CLPK_doublereal *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtpttr_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *ap, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *rcond, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *vl, __CLPK_integer * - ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrexc_(char *compq, __CLPK_integer *n, __CLPK_doublereal *t, __CLPK_integer * - ldt, __CLPK_doublereal *q, __CLPK_integer *ldq, __CLPK_integer *ifst, __CLPK_integer *ilst, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_doublereal *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublereal *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrsen_(char *job, char *compq, __CLPK_logical *select, __CLPK_integer - *n, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *q, __CLPK_integer *ldq, - __CLPK_doublereal *wr, __CLPK_doublereal *wi, __CLPK_integer *m, __CLPK_doublereal *s, __CLPK_doublereal - *sep, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublereal *t, __CLPK_integer *ldt, __CLPK_doublereal *vl, __CLPK_integer * - ldvl, __CLPK_doublereal *vr, __CLPK_integer *ldvr, __CLPK_doublereal *s, __CLPK_doublereal *sep, - __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublereal *work, __CLPK_integer *ldwork, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrsyl_(char *trana, char *tranb, __CLPK_integer *isgn, __CLPK_integer - *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_doublereal *c__, __CLPK_integer *ldc, __CLPK_doublereal *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrti2_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrtri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_doublereal - *a, __CLPK_integer *lda, __CLPK_doublereal *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtrttp_(char *uplo, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtzrqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dtzrzf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublereal *tau, __CLPK_doublereal *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dzsum1_(__CLPK_integer *n, __CLPK_doublecomplex *cx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer icmax1_(__CLPK_integer *n, __CLPK_complex *cx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ieeeck_(__CLPK_integer *ispec, __CLPK_real *zero, __CLPK_real *one) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaclc_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaclr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_complex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer iladiag_(char *diag) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer iladlc_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer iladlr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaenv_(__CLPK_integer *ispec, char *name__, char *opts, __CLPK_integer *n1, - __CLPK_integer *n2, __CLPK_integer *n3, __CLPK_integer *n4) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaprec_(char *prec) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaslc_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaslr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilatrans_(char *trans) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilauplo_(char *uplo) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ilaver_(__CLPK_integer *vers_major__, __CLPK_integer *vers_minor__, - __CLPK_integer *vers_patch__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilazlc_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilazlr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer iparmq_(__CLPK_integer *ispec, char *name__, char *opts, __CLPK_integer *n, __CLPK_integer - *ilo, __CLPK_integer *ihi, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer izmax1_(__CLPK_integer *n, __CLPK_doublecomplex *cx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_logical lsamen_(__CLPK_integer *n, char *ca, char *cb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer smaxloc_(__CLPK_real *a, __CLPK_integer *dimm) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sbdsdc_(char *uplo, char *compq, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, __CLPK_integer *ldvt, __CLPK_real *q, - __CLPK_integer *iq, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sbdsqr_(char *uplo, __CLPK_integer *n, __CLPK_integer *ncvt, __CLPK_integer * - nru, __CLPK_integer *ncc, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *vt, __CLPK_integer *ldvt, __CLPK_real * - u, __CLPK_integer *ldu, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal scsum1_(__CLPK_integer *n, __CLPK_complex *cx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sdisna_(char *job, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *sep, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbbrd_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *ncc, - __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *d__, __CLPK_real * - e, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *pt, __CLPK_integer *ldpt, __CLPK_real *c__, __CLPK_integer - *ldc, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbcon_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, - __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real * - colcnd, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real - *colcnd, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *afb, __CLPK_integer *ldafb, - __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real * - ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbsv_(__CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_integer * - nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer *kl, - __CLPK_integer *ku, __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *afb, - __CLPK_integer *ldafb, __CLPK_integer *ipiv, char *equed, __CLPK_real *r__, __CLPK_real *c__, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, - __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbtf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbtrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgbtrs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgebak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_real *scale, __CLPK_integer *m, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgebal_(char *job, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgebd2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_real *tauq, __CLPK_real *taup, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgebrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_real *tauq, __CLPK_real *taup, __CLPK_real *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgecon_(char *norm, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgees_(char *jobvs, char *sort, __CLPK_L_fp select, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real *vs, - __CLPK_integer *ldvs, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_logical *bwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeesx_(char *jobvs, char *sort, __CLPK_L_fp select, char * - sense, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_real *wr, - __CLPK_real *wi, __CLPK_real *vs, __CLPK_integer *ldvs, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_logical *bwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, - __CLPK_integer *ldvr, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real * - vl, __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_integer *ilo, __CLPK_integer * - ihi, __CLPK_real *scale, __CLPK_real *abnrm, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgegs_(char *jobvsl, char *jobvsr, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real - *beta, __CLPK_real *vsl, __CLPK_integer *ldvsl, __CLPK_real *vsr, __CLPK_integer *ldvsr, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgegv_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real - *beta, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgehd2_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgehrd_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgejsv_(char *joba, char *jobu, char *jobv, char *jobr, - char *jobt, char *jobp, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *sva, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgels_(char *trans, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelsd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *s, __CLPK_real *rcond, __CLPK_integer * - rank, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelss_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *s, __CLPK_real *rcond, __CLPK_integer * - rank, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelsx_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *jpvt, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgelsy_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *jpvt, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeql2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeqlf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeqp3_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *jpvt, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeqpf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *jpvt, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeqr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgeqrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgerfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgerq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgerqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesc2_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *rhs, - __CLPK_integer *ipiv, __CLPK_integer *jpiv, __CLPK_real *scale) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesdd_(char *jobz, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *s, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, __CLPK_integer *ldvt, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesvd_(char *jobu, char *jobvt, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *s, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, - __CLPK_integer *ldvt, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesvj_(char *joba, char *jobu, char *jobv, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *sva, __CLPK_integer *mv, __CLPK_real *v, - __CLPK_integer *ldv, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgesvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, - char *equed, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, - __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgetc2_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *ipiv, - __CLPK_integer *jpiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgetf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgetrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgetri_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *ipiv, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgetrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggbak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_real *lscale, __CLPK_real *rscale, __CLPK_integer *m, __CLPK_real *v, - __CLPK_integer *ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggbal_(char *job, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *lscale, __CLPK_real - *rscale, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgges_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_integer *sdim, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real *beta, __CLPK_real *vsl, - __CLPK_integer *ldvsl, __CLPK_real *vsr, __CLPK_integer *ldvsr, __CLPK_real *work, __CLPK_integer *lwork, - __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggesx_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, char *sense, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real *beta, - __CLPK_real *vsl, __CLPK_integer *ldvsl, __CLPK_real *vsr, __CLPK_integer *ldvsr, __CLPK_real *rconde, - __CLPK_real *rcondv, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - liwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggev_(char *jobvl, char *jobvr, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real - *beta, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real - *alphar, __CLPK_real *alphai, __CLPK_real *beta, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, - __CLPK_integer *ldvr, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *lscale, __CLPK_real *rscale, - __CLPK_real *abnrm, __CLPK_real *bbnrm, __CLPK_real *rconde, __CLPK_real *rcondv, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggglm_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *d__, __CLPK_real *x, __CLPK_real *y, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgghrd_(char *compq, char *compz, __CLPK_integer *n, __CLPK_integer * - ilo, __CLPK_integer *ihi, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real - *q, __CLPK_integer *ldq, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgglse_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *p, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *c__, __CLPK_real *d__, __CLPK_real *x, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggqrf_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *taua, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *taub, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggrqf_(__CLPK_integer *m, __CLPK_integer *p, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *taua, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *taub, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggsvd_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *p, __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *alpha, __CLPK_real *beta, __CLPK_real *u, __CLPK_integer * - ldu, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sggsvp_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_real *tola, __CLPK_real *tolb, __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *u, __CLPK_integer *ldu, - __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_integer *iwork, __CLPK_real * - tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgsvj0_(char *jobv, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *d__, __CLPK_real *sva, __CLPK_integer *mv, __CLPK_real *v, __CLPK_integer * - ldv, __CLPK_real *eps, __CLPK_real *sfmin, __CLPK_real *tol, __CLPK_integer *nsweep, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgsvj1_(char *jobv, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *n1, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *d__, __CLPK_real *sva, __CLPK_integer *mv, __CLPK_real *v, - __CLPK_integer *ldv, __CLPK_real *eps, __CLPK_real *sfmin, __CLPK_real *tol, __CLPK_integer *nsweep, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgtcon_(char *norm, __CLPK_integer *n, __CLPK_real *dl, __CLPK_real *d__, - __CLPK_real *du, __CLPK_real *du2, __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgtrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *dl, - __CLPK_real *d__, __CLPK_real *du, __CLPK_real *dlf, __CLPK_real *df, __CLPK_real *duf, __CLPK_real *du2, - __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real * - ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgtsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *dl, __CLPK_real *d__, - __CLPK_real *du, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgtsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *dl, __CLPK_real *d__, __CLPK_real *du, __CLPK_real *dlf, __CLPK_real *df, __CLPK_real *duf, - __CLPK_real *du2, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer * - ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgttrf_(__CLPK_integer *n, __CLPK_real *dl, __CLPK_real *d__, __CLPK_real *du, __CLPK_real * - du2, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgttrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *dl, - __CLPK_real *d__, __CLPK_real *du, __CLPK_real *du2, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sgtts2_(__CLPK_integer *itrans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real - *dl, __CLPK_real *d__, __CLPK_real *du, __CLPK_real *du2, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer * - ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int shgeqz_(char *job, char *compq, char *compz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *t, __CLPK_integer - *ldt, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real *beta, __CLPK_real *q, __CLPK_integer *ldq, - __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int shsein_(char *side, char *eigsrc, char *initv, __CLPK_logical * - select, __CLPK_integer *n, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real - *vl, __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, - __CLPK_real *work, __CLPK_integer *ifaill, __CLPK_integer *ifailr, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int shseqr_(char *job, char *compz, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real *z__, - __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_logical sisnan_(__CLPK_real *sin__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slabad_(__CLPK_real *small, __CLPK_real *large) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slabrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *tauq, __CLPK_real *taup, __CLPK_real *x, - __CLPK_integer *ldx, __CLPK_real *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slacn2_(__CLPK_integer *n, __CLPK_real *v, __CLPK_real *x, __CLPK_integer *isgn, - __CLPK_real *est, __CLPK_integer *kase, __CLPK_integer *isave) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slacon_(__CLPK_integer *n, __CLPK_real *v, __CLPK_real *x, __CLPK_integer *isgn, - __CLPK_real *est, __CLPK_integer *kase) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slacpy_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sladiv_(__CLPK_real *a, __CLPK_real *b, __CLPK_real *c__, __CLPK_real *d__, __CLPK_real *p, - __CLPK_real *q) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slae2_(__CLPK_real *a, __CLPK_real *b, __CLPK_real *c__, __CLPK_real *rt1, __CLPK_real *rt2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaebz_(__CLPK_integer *ijob, __CLPK_integer *nitmax, __CLPK_integer *n, - __CLPK_integer *mmax, __CLPK_integer *minp, __CLPK_integer *nbmin, __CLPK_real *abstol, __CLPK_real * - reltol, __CLPK_real *pivmin, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *e2, __CLPK_integer *nval, - __CLPK_real *ab, __CLPK_real *c__, __CLPK_integer *mout, __CLPK_integer *nab, __CLPK_real *work, __CLPK_integer - *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed0_(__CLPK_integer *icompq, __CLPK_integer *qsiz, __CLPK_integer *n, __CLPK_real - *d__, __CLPK_real *e, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *qstore, __CLPK_integer *ldqs, - __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed1_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *q, __CLPK_integer *ldq, - __CLPK_integer *indxq, __CLPK_real *rho, __CLPK_integer *cutpnt, __CLPK_real *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed2_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *n1, __CLPK_real *d__, - __CLPK_real *q, __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_real *rho, __CLPK_real *z__, __CLPK_real * - dlamda, __CLPK_real *w, __CLPK_real *q2, __CLPK_integer *indx, __CLPK_integer *indxc, __CLPK_integer * - indxp, __CLPK_integer *coltyp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed3_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *n1, __CLPK_real *d__, - __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *rho, __CLPK_real *dlamda, __CLPK_real *q2, __CLPK_integer * - indx, __CLPK_integer *ctot, __CLPK_real *w, __CLPK_real *s, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed4_(__CLPK_integer *n, __CLPK_integer *i__, __CLPK_real *d__, __CLPK_real *z__, - __CLPK_real *delta, __CLPK_real *rho, __CLPK_real *dlam, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed5_(__CLPK_integer *i__, __CLPK_real *d__, __CLPK_real *z__, __CLPK_real *delta, - __CLPK_real *rho, __CLPK_real *dlam) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed6_(__CLPK_integer *kniter, __CLPK_logical *orgati, __CLPK_real *rho, - __CLPK_real *d__, __CLPK_real *z__, __CLPK_real *finit, __CLPK_real *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed7_(__CLPK_integer *icompq, __CLPK_integer *n, __CLPK_integer *qsiz, - __CLPK_integer *tlvls, __CLPK_integer *curlvl, __CLPK_integer *curpbm, __CLPK_real *d__, __CLPK_real *q, - __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_real *rho, __CLPK_integer *cutpnt, __CLPK_real * - qstore, __CLPK_integer *qptr, __CLPK_integer *prmptr, __CLPK_integer *perm, __CLPK_integer * - givptr, __CLPK_integer *givcol, __CLPK_real *givnum, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed8_(__CLPK_integer *icompq, __CLPK_integer *k, __CLPK_integer *n, __CLPK_integer - *qsiz, __CLPK_real *d__, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_integer *indxq, __CLPK_real *rho, - __CLPK_integer *cutpnt, __CLPK_real *z__, __CLPK_real *dlamda, __CLPK_real *q2, __CLPK_integer *ldq2, - __CLPK_real *w, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_real * - givnum, __CLPK_integer *indxp, __CLPK_integer *indx, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaed9_(__CLPK_integer *k, __CLPK_integer *kstart, __CLPK_integer *kstop, - __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *rho, __CLPK_real *dlamda, - __CLPK_real *w, __CLPK_real *s, __CLPK_integer *lds, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaeda_(__CLPK_integer *n, __CLPK_integer *tlvls, __CLPK_integer *curlvl, - __CLPK_integer *curpbm, __CLPK_integer *prmptr, __CLPK_integer *perm, __CLPK_integer *givptr, - __CLPK_integer *givcol, __CLPK_real *givnum, __CLPK_real *q, __CLPK_integer *qptr, __CLPK_real *z__, - __CLPK_real *ztemp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaein_(__CLPK_logical *rightv, __CLPK_logical *noinit, __CLPK_integer *n, - __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real *vr, __CLPK_real *vi, __CLPK_real - *b, __CLPK_integer *ldb, __CLPK_real *work, __CLPK_real *eps3, __CLPK_real *smlnum, __CLPK_real *bignum, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaev2_(__CLPK_real *a, __CLPK_real *b, __CLPK_real *c__, __CLPK_real *rt1, __CLPK_real * - rt2, __CLPK_real *cs1, __CLPK_real *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaexc_(__CLPK_logical *wantq, __CLPK_integer *n, __CLPK_real *t, __CLPK_integer * - ldt, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_integer *j1, __CLPK_integer *n1, __CLPK_integer *n2, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slag2_(__CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_real *safmin, __CLPK_real *scale1, __CLPK_real *scale2, __CLPK_real *wr1, __CLPK_real *wr2, __CLPK_real * - wi) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slag2d_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *sa, __CLPK_integer *ldsa, - __CLPK_doublereal *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slags2_(__CLPK_logical *upper, __CLPK_real *a1, __CLPK_real *a2, __CLPK_real *a3, - __CLPK_real *b1, __CLPK_real *b2, __CLPK_real *b3, __CLPK_real *csu, __CLPK_real *snu, __CLPK_real *csv, __CLPK_real * - snv, __CLPK_real *csq, __CLPK_real *snq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slagtf_(__CLPK_integer *n, __CLPK_real *a, __CLPK_real *lambda, __CLPK_real *b, __CLPK_real - *c__, __CLPK_real *tol, __CLPK_real *d__, __CLPK_integer *in, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slagtm_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real * - alpha, __CLPK_real *dl, __CLPK_real *d__, __CLPK_real *du, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real * - beta, __CLPK_real *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slagts_(__CLPK_integer *job, __CLPK_integer *n, __CLPK_real *a, __CLPK_real *b, __CLPK_real - *c__, __CLPK_real *d__, __CLPK_integer *in, __CLPK_real *y, __CLPK_real *tol, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slagv2_(__CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, - __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real *beta, __CLPK_real *csl, __CLPK_real *snl, __CLPK_real * - csr, __CLPK_real *snr) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slahqr_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real * - wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slahr2_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slahrd_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaic1_(__CLPK_integer *job, __CLPK_integer *j, __CLPK_real *x, __CLPK_real *sest, - __CLPK_real *w, __CLPK_real *gamma, __CLPK_real *sestpr, __CLPK_real *s, __CLPK_real *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_logical slaisnan_(__CLPK_real *sin1, __CLPK_real *sin2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaln2_(__CLPK_logical *ltrans, __CLPK_integer *na, __CLPK_integer *nw, __CLPK_real * - smin, __CLPK_real *ca, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *d1, __CLPK_real *d2, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_real *wr, __CLPK_real *wi, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *scale, - __CLPK_real *xnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slals0_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *nrhs, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *bx, - __CLPK_integer *ldbx, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_integer *ldgcol, __CLPK_real *givnum, __CLPK_integer *ldgnum, __CLPK_real *poles, __CLPK_real * - difl, __CLPK_real *difr, __CLPK_real *z__, __CLPK_integer *k, __CLPK_real *c__, __CLPK_real *s, __CLPK_real * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slalsa_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *bx, __CLPK_integer *ldbx, __CLPK_real * - u, __CLPK_integer *ldu, __CLPK_real *vt, __CLPK_integer *k, __CLPK_real *difl, __CLPK_real *difr, __CLPK_real * - z__, __CLPK_real *poles, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, - __CLPK_integer *perm, __CLPK_real *givnum, __CLPK_real *c__, __CLPK_real *s, __CLPK_real *work, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slalsd_(char *uplo, __CLPK_integer *smlsiz, __CLPK_integer *n, __CLPK_integer - *nrhs, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *rcond, - __CLPK_integer *rank, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slamrg_(__CLPK_integer *n1, __CLPK_integer *n2, __CLPK_real *a, __CLPK_integer * - strd1, __CLPK_integer *strd2, __CLPK_integer *index) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer slaneg_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *lld, __CLPK_real *sigma, __CLPK_real *pivmin, - __CLPK_integer *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slangb_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slange_(char *norm, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slangt_(char *norm, __CLPK_integer *n, __CLPK_real *dl, __CLPK_real *d__, __CLPK_real *du) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slanhs_(char *norm, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slansb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slansf_(char *norm, char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slansp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slanst_(char *norm, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slansy_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slantb_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slantp_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slantr_(char *norm, char *uplo, char *diag, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slanv2_(__CLPK_real *a, __CLPK_real *b, __CLPK_real *c__, __CLPK_real *d__, __CLPK_real * - rt1r, __CLPK_real *rt1i, __CLPK_real *rt2r, __CLPK_real *rt2i, __CLPK_real *cs, __CLPK_real *sn) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slapll_(__CLPK_integer *n, __CLPK_real *x, __CLPK_integer *incx, __CLPK_real *y, - __CLPK_integer *incy, __CLPK_real *ssmin) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slapmt_(__CLPK_logical *forwrd, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *x, - __CLPK_integer *ldx, __CLPK_integer *k) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slapy2_(__CLPK_real *x, __CLPK_real *y) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slapy3_(__CLPK_real *x, __CLPK_real *y, __CLPK_real *z__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqgb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real * - colcnd, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqge_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *r__, __CLPK_real *c__, __CLPK_real *rowcnd, __CLPK_real *colcnd, __CLPK_real *amax, char * - equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqp2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_real *tau, __CLPK_real *vn1, __CLPK_real *vn2, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqps_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_integer - *nb, __CLPK_integer *kb, __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_real *tau, - __CLPK_real *vn1, __CLPK_real *vn2, __CLPK_real *auxv, __CLPK_real *f, __CLPK_integer *ldf) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr0_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real * - wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr1_(__CLPK_integer *n, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *sr1, - __CLPK_real *si1, __CLPK_real *sr2, __CLPK_real *si2, __CLPK_real *v) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr2_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_real *h__, __CLPK_integer *ldh, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *ns, - __CLPK_integer *nd, __CLPK_real *sr, __CLPK_real *si, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_integer *nh, - __CLPK_real *t, __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_real *wv, __CLPK_integer *ldwv, __CLPK_real * - work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr3_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_real *h__, __CLPK_integer *ldh, - __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *ns, - __CLPK_integer *nd, __CLPK_real *sr, __CLPK_real *si, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_integer *nh, - __CLPK_real *t, __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_real *wv, __CLPK_integer *ldwv, __CLPK_real * - work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr4_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_real *wr, __CLPK_real * - wi, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqr5_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *kacc22, - __CLPK_integer *n, __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nshfts, __CLPK_real *sr, - __CLPK_real *si, __CLPK_real *h__, __CLPK_integer *ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_real - *z__, __CLPK_integer *ldz, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *u, __CLPK_integer *ldu, - __CLPK_integer *nv, __CLPK_real *wv, __CLPK_integer *ldwv, __CLPK_integer *nh, __CLPK_real *wh, __CLPK_integer * - ldwh) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqsb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqsp_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *s, __CLPK_real * - scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqsy_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaqtr_(__CLPK_logical *ltran, __CLPK_logical *l__CLPK_real, __CLPK_integer *n, __CLPK_real - *t, __CLPK_integer *ldt, __CLPK_real *b, __CLPK_real *w, __CLPK_real *scale, __CLPK_real *x, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slar1v_(__CLPK_integer *n, __CLPK_integer *b1, __CLPK_integer *bn, __CLPK_real * - lambda, __CLPK_real *d__, __CLPK_real *l, __CLPK_real *ld, __CLPK_real *lld, __CLPK_real *pivmin, __CLPK_real * - gaptol, __CLPK_real *z__, __CLPK_logical *wantnc, __CLPK_integer *negcnt, __CLPK_real *ztz, __CLPK_real * - mingma, __CLPK_integer *r__, __CLPK_integer *isuppz, __CLPK_real *nrminv, __CLPK_real *resid, - __CLPK_real *rqcorr, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slar2v_(__CLPK_integer *n, __CLPK_real *x, __CLPK_real *y, __CLPK_real *z__, __CLPK_integer - *incx, __CLPK_real *c__, __CLPK_real *s, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarf_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *v, - __CLPK_integer *incv, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarfb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *v, __CLPK_integer *ldv, - __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer * - ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarfg_(__CLPK_integer *n, __CLPK_real *alpha, __CLPK_real *x, __CLPK_integer *incx, - __CLPK_real *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarfp_(__CLPK_integer *n, __CLPK_real *alpha, __CLPK_real *x, __CLPK_integer *incx, - __CLPK_real *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarft_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *tau, __CLPK_real *t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarfx_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *v, - __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slargv_(__CLPK_integer *n, __CLPK_real *x, __CLPK_integer *incx, __CLPK_real *y, - __CLPK_integer *incy, __CLPK_real *c__, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarnv_(__CLPK_integer *idist, __CLPK_integer *iseed, __CLPK_integer *n, __CLPK_real - *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarra_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *e2, __CLPK_real * - spltol, __CLPK_real *tnrm, __CLPK_integer *nsplit, __CLPK_integer *isplit, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrb_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *lld, __CLPK_integer * - ifirst, __CLPK_integer *ilast, __CLPK_real *rtol1, __CLPK_real *rtol2, __CLPK_integer *offset, - __CLPK_real *w, __CLPK_real *wgap, __CLPK_real *werr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_real * - pivmin, __CLPK_real *spdiam, __CLPK_integer *twist, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrc_(char *jobt, __CLPK_integer *n, __CLPK_real *vl, __CLPK_real *vu, __CLPK_real - *d__, __CLPK_real *e, __CLPK_real *pivmin, __CLPK_integer *eigcnt, __CLPK_integer *lcnt, __CLPK_integer * - rcnt, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrd_(char *range, char *order, __CLPK_integer *n, __CLPK_real *vl, - __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *gers, __CLPK_real *reltol, __CLPK_real * - d__, __CLPK_real *e, __CLPK_real *e2, __CLPK_real *pivmin, __CLPK_integer *nsplit, __CLPK_integer * - isplit, __CLPK_integer *m, __CLPK_real *w, __CLPK_real *werr, __CLPK_real *wl, __CLPK_real *wu, __CLPK_integer * - iblock, __CLPK_integer *indexw, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarre_(char *range, __CLPK_integer *n, __CLPK_real *vl, __CLPK_real *vu, - __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *e2, __CLPK_real *rtol1, - __CLPK_real *rtol2, __CLPK_real *spltol, __CLPK_integer *nsplit, __CLPK_integer *isplit, __CLPK_integer * - m, __CLPK_real *w, __CLPK_real *werr, __CLPK_real *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, - __CLPK_real *gers, __CLPK_real *pivmin, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrf_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *l, __CLPK_real *ld, - __CLPK_integer *clstrt, __CLPK_integer *clend, __CLPK_real *w, __CLPK_real *wgap, __CLPK_real *werr, - __CLPK_real *spdiam, __CLPK_real *clgapl, __CLPK_real *clgapr, __CLPK_real *pivmin, __CLPK_real *sigma, - __CLPK_real *dplus, __CLPK_real *lplus, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrj_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e2, __CLPK_integer *ifirst, - __CLPK_integer *ilast, __CLPK_real *rtol, __CLPK_integer *offset, __CLPK_real *w, __CLPK_real *werr, - __CLPK_real *work, __CLPK_integer *iwork, __CLPK_real *pivmin, __CLPK_real *spdiam, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrk_(__CLPK_integer *n, __CLPK_integer *iw, __CLPK_real *gl, __CLPK_real *gu, - __CLPK_real *d__, __CLPK_real *e2, __CLPK_real *pivmin, __CLPK_real *reltol, __CLPK_real *w, __CLPK_real *werr, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrr_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarrv_(__CLPK_integer *n, __CLPK_real *vl, __CLPK_real *vu, __CLPK_real *d__, __CLPK_real * - l, __CLPK_real *pivmin, __CLPK_integer *isplit, __CLPK_integer *m, __CLPK_integer *dol, __CLPK_integer * - dou, __CLPK_real *minrgp, __CLPK_real *rtol1, __CLPK_real *rtol2, __CLPK_real *w, __CLPK_real *werr, - __CLPK_real *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, __CLPK_real *gers, __CLPK_real *z__, - __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarscl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *x, - __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slartg_(__CLPK_real *f, __CLPK_real *g, __CLPK_real *cs, __CLPK_real *sn, __CLPK_real *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slartv_(__CLPK_integer *n, __CLPK_real *x, __CLPK_integer *incx, __CLPK_real *y, - __CLPK_integer *incy, __CLPK_real *c__, __CLPK_real *s, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaruv_(__CLPK_integer *iseed, __CLPK_integer *n, __CLPK_real *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarz_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, - __CLPK_real *v, __CLPK_integer *incv, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarzb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *v, - __CLPK_integer *ldv, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real * - work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slarzt_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *tau, __CLPK_real *t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slas2_(__CLPK_real *f, __CLPK_real *g, __CLPK_real *h__, __CLPK_real *ssmin, __CLPK_real * - ssmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slascl_(char *type__, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_real * - cfrom, __CLPK_real *cto, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slascl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *x, - __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd0_(__CLPK_integer *n, __CLPK_integer *sqre, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, __CLPK_integer *ldvt, __CLPK_integer *smlsiz, - __CLPK_integer *iwork, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd1_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, __CLPK_real * - d__, __CLPK_real *alpha, __CLPK_real *beta, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, - __CLPK_integer *ldvt, __CLPK_integer *idxq, __CLPK_integer *iwork, __CLPK_real *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd2_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, __CLPK_integer - *k, __CLPK_real *d__, __CLPK_real *z__, __CLPK_real *alpha, __CLPK_real *beta, __CLPK_real *u, __CLPK_integer * - ldu, __CLPK_real *vt, __CLPK_integer *ldvt, __CLPK_real *dsigma, __CLPK_real *u2, __CLPK_integer *ldu2, - __CLPK_real *vt2, __CLPK_integer *ldvt2, __CLPK_integer *idxp, __CLPK_integer *idx, __CLPK_integer *idxc, - __CLPK_integer *idxq, __CLPK_integer *coltyp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd3_(__CLPK_integer *nl, __CLPK_integer *nr, __CLPK_integer *sqre, __CLPK_integer - *k, __CLPK_real *d__, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *dsigma, __CLPK_real *u, __CLPK_integer * - ldu, __CLPK_real *u2, __CLPK_integer *ldu2, __CLPK_real *vt, __CLPK_integer *ldvt, __CLPK_real *vt2, - __CLPK_integer *ldvt2, __CLPK_integer *idxc, __CLPK_integer *ctot, __CLPK_real *z__, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd4_(__CLPK_integer *n, __CLPK_integer *i__, __CLPK_real *d__, __CLPK_real *z__, - __CLPK_real *delta, __CLPK_real *rho, __CLPK_real *sigma, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd5_(__CLPK_integer *i__, __CLPK_real *d__, __CLPK_real *z__, __CLPK_real *delta, - __CLPK_real *rho, __CLPK_real *dsigma, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd6_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_real *d__, __CLPK_real *vf, __CLPK_real *vl, __CLPK_real *alpha, __CLPK_real *beta, - __CLPK_integer *idxq, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_integer *ldgcol, __CLPK_real *givnum, __CLPK_integer *ldgnum, __CLPK_real *poles, __CLPK_real * - difl, __CLPK_real *difr, __CLPK_real *z__, __CLPK_integer *k, __CLPK_real *c__, __CLPK_real *s, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd7_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *k, __CLPK_real *d__, __CLPK_real *z__, __CLPK_real *zw, __CLPK_real *vf, - __CLPK_real *vfw, __CLPK_real *vl, __CLPK_real *vlw, __CLPK_real *alpha, __CLPK_real *beta, __CLPK_real *dsigma, - __CLPK_integer *idx, __CLPK_integer *idxp, __CLPK_integer *idxq, __CLPK_integer *perm, __CLPK_integer * - givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_real *givnum, __CLPK_integer * - ldgnum, __CLPK_real *c__, __CLPK_real *s, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasd8_(__CLPK_integer *icompq, __CLPK_integer *k, __CLPK_real *d__, __CLPK_real * - z__, __CLPK_real *vf, __CLPK_real *vl, __CLPK_real *difl, __CLPK_real *difr, __CLPK_integer *lddifr, - __CLPK_real *dsigma, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasda_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *sqre, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *vt, - __CLPK_integer *k, __CLPK_real *difl, __CLPK_real *difr, __CLPK_real *z__, __CLPK_real *poles, __CLPK_integer * - givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_integer *perm, __CLPK_real *givnum, - __CLPK_real *c__, __CLPK_real *s, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasdq_(char *uplo, __CLPK_integer *sqre, __CLPK_integer *n, __CLPK_integer * - ncvt, __CLPK_integer *nru, __CLPK_integer *ncc, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *vt, - __CLPK_integer *ldvt, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasdt_(__CLPK_integer *n, __CLPK_integer *lvl, __CLPK_integer *nd, __CLPK_integer * - inode, __CLPK_integer *ndiml, __CLPK_integer *ndimr, __CLPK_integer *msub) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaset_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *alpha, - __CLPK_real *beta, __CLPK_real *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq1_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq2_(__CLPK_integer *n, __CLPK_real *z__, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq3_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_real *z__, __CLPK_integer *pp, - __CLPK_real *dmin__, __CLPK_real *sigma, __CLPK_real *desig, __CLPK_real *qmax, __CLPK_integer *nfail, - __CLPK_integer *iter, __CLPK_integer *ndiv, __CLPK_logical *ieee, __CLPK_integer *ttype, __CLPK_real * - dmin1, __CLPK_real *dmin2, __CLPK_real *dn, __CLPK_real *dn1, __CLPK_real *dn2, __CLPK_real *g, __CLPK_real * - tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq4_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_real *z__, __CLPK_integer *pp, - __CLPK_integer *n0in, __CLPK_real *dmin__, __CLPK_real *dmin1, __CLPK_real *dmin2, __CLPK_real *dn, - __CLPK_real *dn1, __CLPK_real *dn2, __CLPK_real *tau, __CLPK_integer *ttype, __CLPK_real *g) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq5_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_real *z__, __CLPK_integer *pp, - __CLPK_real *tau, __CLPK_real *dmin__, __CLPK_real *dmin1, __CLPK_real *dmin2, __CLPK_real *dn, __CLPK_real * - dnm1, __CLPK_real *dnm2, __CLPK_logical *ieee) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasq6_(__CLPK_integer *i0, __CLPK_integer *n0, __CLPK_real *z__, __CLPK_integer *pp, - __CLPK_real *dmin__, __CLPK_real *dmin1, __CLPK_real *dmin2, __CLPK_real *dn, __CLPK_real *dnm1, __CLPK_real * - dnm2) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasr_(char *side, char *pivot, char *direct, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_real *c__, __CLPK_real *s, __CLPK_real *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasrt_(char *id, __CLPK_integer *n, __CLPK_real *d__, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slassq_(__CLPK_integer *n, __CLPK_real *x, __CLPK_integer *incx, __CLPK_real *scale, - __CLPK_real *sumsq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasv2_(__CLPK_real *f, __CLPK_real *g, __CLPK_real *h__, __CLPK_real *ssmin, __CLPK_real * - ssmax, __CLPK_real *snr, __CLPK_real *csr, __CLPK_real *snl, __CLPK_real *csl) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slaswp_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *k1, - __CLPK_integer *k2, __CLPK_integer *ipiv, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasy2_(__CLPK_logical *ltranl, __CLPK_logical *ltranr, __CLPK_integer *isgn, - __CLPK_integer *n1, __CLPK_integer *n2, __CLPK_real *tl, __CLPK_integer *ldtl, __CLPK_real *tr, __CLPK_integer * - ldtr, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *scale, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real - *xnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slasyf_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_real *w, __CLPK_integer *ldw, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatbs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *x, - __CLPK_real *scale, __CLPK_real *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatdf_(__CLPK_integer *ijob, __CLPK_integer *n, __CLPK_real *z__, __CLPK_integer * - ldz, __CLPK_real *rhs, __CLPK_real *rdsum, __CLPK_real *rdscal, __CLPK_integer *ipiv, __CLPK_integer * - jpiv) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatps_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *x, __CLPK_real *scale, __CLPK_real *cnorm, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatrd_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *e, __CLPK_real *tau, __CLPK_real *w, __CLPK_integer *ldw) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatrs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *x, __CLPK_real *scale, __CLPK_real - *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatrz_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slatzm_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *v, - __CLPK_integer *incv, __CLPK_real *tau, __CLPK_real *c1, __CLPK_real *c2, __CLPK_integer *ldc, __CLPK_real * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slauu2_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slauum_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sopgtr_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *tau, - __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sopmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorg2l_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorg2r_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgbr_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer - *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorghr_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorglq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgql_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgqr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgrq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorgtr_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorm2l_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorm2r_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormbr_(char *vect, char *side, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, - __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormhr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real * - c__, __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sorml2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormlq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormql_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormqr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormr2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormr3_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, - __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormrq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormrz_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, - __CLPK_integer *ldc, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sormtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *tau, __CLPK_real *c__, __CLPK_integer *ldc, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbcon_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbequ_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *afb, __CLPK_integer *ldafb, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbstf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *afb, __CLPK_integer *ldafb, - char *equed, __CLPK_real *s, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, - __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbtf2_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbtrf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_real *ab, - __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spbtrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spftrf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spftri_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spftrs_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *a, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spocon_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spoequ_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *s, __CLPK_real - *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spoequb_(__CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *s, - __CLPK_real *scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sporfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, - __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sposvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, char *equed, - __CLPK_real *s, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *rcond, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spotf2_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spotrf_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spotri_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spotrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sppcon_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *anorm, - __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sppequ_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *s, __CLPK_real * - scond, __CLPK_real *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_real *afp, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *ferr, - __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sppsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sppsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *ap, __CLPK_real *afp, char *equed, __CLPK_real *s, __CLPK_real *b, __CLPK_integer * - ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real - *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spptrf_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spptri_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spstf2_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_real *tol, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spstrf_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_real *tol, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sptcon_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *anorm, - __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spteqr_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sptrfs_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *df, __CLPK_real *ef, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sptsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sptsvx_(char *fact, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *df, __CLPK_real *ef, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer - *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spttrf_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int spttrs_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sptts2_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int srscl_(__CLPK_integer *n, __CLPK_real *sa, __CLPK_real *sx, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *vl, - __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real * - w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer * - ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbgst_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *bb, __CLPK_integer *ldbb, __CLPK_real * - x, __CLPK_integer *ldx, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbgv_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *bb, __CLPK_integer *ldbb, __CLPK_real * - w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbgvd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *bb, __CLPK_integer *ldbb, __CLPK_real * - w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbgvx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *ka, __CLPK_integer *kb, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *bb, __CLPK_integer * - ldbb, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer - *iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real - *work, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssbtrd_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *d__, __CLPK_real *e, __CLPK_real *q, __CLPK_integer *ldq, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssfrk_(char *transr, char *uplo, char *trans, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_real *alpha, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *beta, __CLPK_real * - c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspcon_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_integer *ipiv, - __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer - *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_real *ap, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, - __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer * - iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspgst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_real *bp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspgv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_real *ap, __CLPK_real *bp, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspgvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_real *ap, __CLPK_real *bp, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspgvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *bp, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer * - ldz, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_real *afp, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer * - ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sspsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *ap, __CLPK_real *afp, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real - *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssptrd_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssptrf_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_integer *ipiv, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssptri_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_integer *ipiv, - __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *ap, - __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstebz_(char *range, char *order, __CLPK_integer *n, __CLPK_real *vl, - __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_real *d__, __CLPK_real *e, - __CLPK_integer *m, __CLPK_integer *nsplit, __CLPK_real *w, __CLPK_integer *iblock, __CLPK_integer * - isplit, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstedc_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstegr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, - __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstein_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_integer *m, __CLPK_real - *w, __CLPK_integer *iblock, __CLPK_integer *isplit, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstemr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_integer *m, - __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *nzc, __CLPK_integer *isuppz, - __CLPK_logical *tryrac, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssteqr_(char *compz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, - __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssterf_(__CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstev_(char *jobz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_real * - z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstevd_(char *jobz, __CLPK_integer *n, __CLPK_real *d__, __CLPK_real *e, __CLPK_real - *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstevr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, - __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int sstevx_(char *jobz, char *range, __CLPK_integer *n, __CLPK_real *d__, - __CLPK_real *e, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, - __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer * - iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssycon_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *anorm, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyequb_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *s, __CLPK_real *scond, __CLPK_real *amax, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *w, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *w, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyevr_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, - __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer * - isuppz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, - __CLPK_real *abstol, __CLPK_integer *m, __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real * - work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssygs2_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssygst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssygv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *w, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssygvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *w, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssygvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real * - vl, __CLPK_real *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_real *abstol, __CLPK_integer *m, - __CLPK_real *w, __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer - *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssyrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, __CLPK_real *b, - __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real * - work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssysv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssysvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *af, __CLPK_integer *ldaf, __CLPK_integer *ipiv, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *rcond, __CLPK_real *ferr, - __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytd2_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_real *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytf2_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytrd_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *d__, __CLPK_real *e, __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytrf_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytri_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ssytrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stbcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *rcond, __CLPK_real *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stbrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *b, __CLPK_integer - *ldb, __CLPK_real *x, __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stbtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_real *ab, __CLPK_integer *ldab, __CLPK_real *b, __CLPK_integer - *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stfsm_(char *transr, char *side, char *uplo, char *trans, - char *diag, __CLPK_integer *m, __CLPK_integer *n, __CLPK_real *alpha, __CLPK_real *a, __CLPK_real *b, - __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stftri_(char *transr, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stfttp_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *arf, - __CLPK_real *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stfttr_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *arf, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_real *s, __CLPK_integer *lds, __CLPK_real *p, __CLPK_integer *ldp, __CLPK_real *vl, - __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_real - *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgex2_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, __CLPK_real - *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real * - z__, __CLPK_integer *ldz, __CLPK_integer *j1, __CLPK_integer *n1, __CLPK_integer *n2, __CLPK_real *work, - __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgexc_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, __CLPK_real - *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real * - z__, __CLPK_integer *ldz, __CLPK_integer *ifst, __CLPK_integer *ilst, __CLPK_real *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgsen_(__CLPK_integer *ijob, __CLPK_logical *wantq, __CLPK_logical *wantz, - __CLPK_logical *select, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer * - ldb, __CLPK_real *alphar, __CLPK_real *alphai, __CLPK_real *beta, __CLPK_real *q, __CLPK_integer *ldq, - __CLPK_real *z__, __CLPK_integer *ldz, __CLPK_integer *m, __CLPK_real *pl, __CLPK_real *pr, __CLPK_real *dif, - __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgsja_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *tola, __CLPK_real *tolb, __CLPK_real *alpha, __CLPK_real * - beta, __CLPK_real *u, __CLPK_integer *ldu, __CLPK_real *v, __CLPK_integer *ldv, __CLPK_real *q, __CLPK_integer * - ldq, __CLPK_real *work, __CLPK_integer *ncycle, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *vl, - __CLPK_integer *ldvl, __CLPK_real *vr, __CLPK_integer *ldvr, __CLPK_real *s, __CLPK_real *dif, __CLPK_integer * - mm, __CLPK_integer *m, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgsy2_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *c__, __CLPK_integer * - ldc, __CLPK_real *d__, __CLPK_integer *ldd, __CLPK_real *e, __CLPK_integer *lde, __CLPK_real *f, __CLPK_integer - *ldf, __CLPK_real *scale, __CLPK_real *rdsum, __CLPK_real *rdscal, __CLPK_integer *iwork, __CLPK_integer - *pq, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stgsyl_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *c__, __CLPK_integer * - ldc, __CLPK_real *d__, __CLPK_integer *ldd, __CLPK_real *e, __CLPK_integer *lde, __CLPK_real *f, __CLPK_integer - *ldf, __CLPK_real *scale, __CLPK_real *dif, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer * - iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stpcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_real *ap, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stprfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_real *ap, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, __CLPK_integer *ldx, - __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stptri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stptrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_real *ap, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stpttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *ap, - __CLPK_real *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stpttr_(char *uplo, __CLPK_integer *n, __CLPK_real *ap, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *rcond, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, - __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_real *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strexc_(char *compq, __CLPK_integer *n, __CLPK_real *t, __CLPK_integer *ldt, - __CLPK_real *q, __CLPK_integer *ldq, __CLPK_integer *ifst, __CLPK_integer *ilst, __CLPK_real *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real *x, - __CLPK_integer *ldx, __CLPK_real *ferr, __CLPK_real *berr, __CLPK_real *work, __CLPK_integer *iwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strsen_(char *job, char *compq, __CLPK_logical *select, __CLPK_integer - *n, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *q, __CLPK_integer *ldq, __CLPK_real *wr, __CLPK_real *wi, - __CLPK_integer *m, __CLPK_real *s, __CLPK_real *sep, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_real *t, __CLPK_integer *ldt, __CLPK_real *vl, __CLPK_integer *ldvl, __CLPK_real *vr, - __CLPK_integer *ldvr, __CLPK_real *s, __CLPK_real *sep, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_real * - work, __CLPK_integer *ldwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strsyl_(char *trana, char *tranb, __CLPK_integer *isgn, __CLPK_integer - *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_real * - c__, __CLPK_integer *ldc, __CLPK_real *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strti2_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strtri_(char *uplo, char *diag, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_real *a, __CLPK_integer *lda, __CLPK_real *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strttf_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_real *a, - __CLPK_integer *lda, __CLPK_real *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int strttp_(char *uplo, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stzrqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int stzrzf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_real *a, __CLPK_integer *lda, - __CLPK_real *tau, __CLPK_real *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zbdsqr_(char *uplo, __CLPK_integer *n, __CLPK_integer *ncvt, __CLPK_integer * - nru, __CLPK_integer *ncc, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *vt, - __CLPK_integer *ldvt, __CLPK_doublecomplex *u, __CLPK_integer *ldu, __CLPK_doublecomplex *c__, - __CLPK_integer *ldc, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zcgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublecomplex *work, __CLPK_complex *swork, - __CLPK_doublereal *rwork, __CLPK_integer *iter, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zcposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublecomplex *work, __CLPK_complex *swork, - __CLPK_doublereal *rwork, __CLPK_integer *iter, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zdrscl_(__CLPK_integer *n, __CLPK_doublereal *sa, __CLPK_doublecomplex *sx, - __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbbrd_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *ncc, - __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *q, __CLPK_integer *ldq, - __CLPK_doublecomplex *pt, __CLPK_integer *ldpt, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbcon_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_doublereal *anorm, - __CLPK_doublereal *rcond, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal * - c__, __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex * - afb, __CLPK_integer *ldafb, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbsv_(__CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_doublecomplex * - b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer *kl, - __CLPK_integer *ku, __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublecomplex *afb, __CLPK_integer *ldafb, __CLPK_integer *ipiv, char *equed, - __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbtf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbtrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgbtrs_(char *trans, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer * - ku, __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *ipiv, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgebak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublereal *scale, __CLPK_integer *m, __CLPK_doublecomplex *v, - __CLPK_integer *ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgebal_(char *job, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer - *lda, __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *scale, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgebd2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *tauq, - __CLPK_doublecomplex *taup, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgebrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *tauq, - __CLPK_doublecomplex *taup, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgecon_(char *norm, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeequ_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, - __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeequb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, - __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgees_(char *jobvs, char *sort, __CLPK_L_fp select, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *sdim, __CLPK_doublecomplex *w, - __CLPK_doublecomplex *vs, __CLPK_integer *ldvs, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_doublereal *rwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeesx_(char *jobvs, char *sort, __CLPK_L_fp select, char * - sense, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *sdim, - __CLPK_doublecomplex *w, __CLPK_doublecomplex *vs, __CLPK_integer *ldvs, __CLPK_doublereal * - rconde, __CLPK_doublereal *rcondv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_doublereal *rwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeev_(char *jobvl, char *jobvr, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *w, __CLPK_doublecomplex *vl, - __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *w, - __CLPK_doublecomplex *vl, __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *scale, __CLPK_doublereal *abnrm, - __CLPK_doublereal *rconde, __CLPK_doublereal *rcondv, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgegs_(char *jobvsl, char *jobvsr, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *alpha, __CLPK_doublecomplex *beta, __CLPK_doublecomplex *vsl, - __CLPK_integer *ldvsl, __CLPK_doublecomplex *vsr, __CLPK_integer *ldvsr, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgegv_(char *jobvl, char *jobvr, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *alpha, __CLPK_doublecomplex *beta, __CLPK_doublecomplex *vl, __CLPK_integer - *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, __CLPK_doublecomplex *work, __CLPK_integer - *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgehd2_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgehrd_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgels_(char *trans, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelsd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublereal *s, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelss_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublereal *s, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelsx_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *jpvt, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgelsy_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *jpvt, __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeql2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeqlf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeqp3_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeqpf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeqr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgeqrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgerfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer *ldaf, - __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, - __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgerq2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgerqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgesc2_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublecomplex *rhs, __CLPK_integer *ipiv, __CLPK_integer *jpiv, __CLPK_doublereal *scale) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgesdd_(char *jobz, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublecomplex *u, - __CLPK_integer *ldu, __CLPK_doublecomplex *vt, __CLPK_integer *ldvt, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgesv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgesvd_(char *jobu, char *jobvt, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublecomplex *u, - __CLPK_integer *ldu, __CLPK_doublecomplex *vt, __CLPK_integer *ldvt, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgesvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer * - ldaf, __CLPK_integer *ipiv, char *equed, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgetc2_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_integer *jpiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgetf2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgetrf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgetri_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgetrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggbak_(char *job, char *side, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, __CLPK_integer *m, - __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggbal_(char *job, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer - *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, __CLPK_doublereal *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgges_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex * - beta, __CLPK_doublecomplex *vsl, __CLPK_integer *ldvsl, __CLPK_doublecomplex *vsr, __CLPK_integer - *ldvsr, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggesx_(char *jobvsl, char *jobvsr, char *sort, __CLPK_L_fp - selctg, char *sense, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *sdim, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *beta, __CLPK_doublecomplex *vsl, __CLPK_integer *ldvsl, - __CLPK_doublecomplex *vsr, __CLPK_integer *ldvsr, __CLPK_doublereal *rconde, __CLPK_doublereal * - rcondv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggev_(char *jobvl, char *jobvr, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *alpha, __CLPK_doublecomplex *beta, __CLPK_doublecomplex *vl, __CLPK_integer - *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, __CLPK_doublecomplex *work, __CLPK_integer - *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggevx_(char *balanc, char *jobvl, char *jobvr, char * - sense, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex *beta, - __CLPK_doublecomplex *vl, __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublereal *lscale, __CLPK_doublereal *rscale, - __CLPK_doublereal *abnrm, __CLPK_doublereal *bbnrm, __CLPK_doublereal *rconde, __CLPK_doublereal * - rcondv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *iwork, __CLPK_logical *bwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggglm_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *d__, __CLPK_doublecomplex *x, __CLPK_doublecomplex *y, __CLPK_doublecomplex - *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgghrd_(char *compq, char *compz, __CLPK_integer *n, __CLPK_integer * - ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgglse_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *p, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *c__, __CLPK_doublecomplex *d__, __CLPK_doublecomplex *x, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggqrf_(__CLPK_integer *n, __CLPK_integer *m, __CLPK_integer *p, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *taua, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *taub, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggrqf_(__CLPK_integer *m, __CLPK_integer *p, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *taua, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *taub, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggsvd_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *p, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublereal *alpha, - __CLPK_doublereal *beta, __CLPK_doublecomplex *u, __CLPK_integer *ldu, __CLPK_doublecomplex *v, - __CLPK_integer *ldv, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zggsvp_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex - *b, __CLPK_integer *ldb, __CLPK_doublereal *tola, __CLPK_doublereal *tolb, __CLPK_integer *k, - __CLPK_integer *l, __CLPK_doublecomplex *u, __CLPK_integer *ldu, __CLPK_doublecomplex *v, __CLPK_integer - *ldv, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_integer *iwork, __CLPK_doublereal * - rwork, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgtcon_(char *norm, __CLPK_integer *n, __CLPK_doublecomplex *dl, - __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, __CLPK_doublecomplex *du2, __CLPK_integer * - ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgtrfs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *dl, __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, - __CLPK_doublecomplex *dlf, __CLPK_doublecomplex *df, __CLPK_doublecomplex *duf, - __CLPK_doublecomplex *du2, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgtsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublecomplex *dl, - __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgtsvx_(char *fact, char *trans, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *dl, __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, - __CLPK_doublecomplex *dlf, __CLPK_doublecomplex *df, __CLPK_doublecomplex *duf, - __CLPK_doublecomplex *du2, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgttrf_(__CLPK_integer *n, __CLPK_doublecomplex *dl, __CLPK_doublecomplex * - d__, __CLPK_doublecomplex *du, __CLPK_doublecomplex *du2, __CLPK_integer *ipiv, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgttrs_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *dl, __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, - __CLPK_doublecomplex *du2, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zgtts2_(__CLPK_integer *itrans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *dl, __CLPK_doublecomplex *d__, __CLPK_doublecomplex *du, - __CLPK_doublecomplex *du2, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbevd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *q, - __CLPK_integer *ldq, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer * - iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbgst_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *bb, - __CLPK_integer *ldbb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbgv_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *bb, - __CLPK_integer *ldbb, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbgvd_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_integer *ka, - __CLPK_integer *kb, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *bb, - __CLPK_integer *ldbb, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer * - lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbgvx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_integer *ka, __CLPK_integer *kb, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublecomplex *bb, __CLPK_integer *ldbb, __CLPK_doublecomplex *q, __CLPK_integer *ldq, - __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal * - abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer * - ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhbtrd_(char *vect, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhecon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, - __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zheequb_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zheev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex - *a, __CLPK_integer *lda, __CLPK_doublereal *w, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zheevd_(char *jobz, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *w, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zheevr_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *vl, __CLPK_doublereal *vu, - __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal * - w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *lrwork, __CLPK_integer * - iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zheevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *vl, __CLPK_doublereal *vu, - __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal * - w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhegs2_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhegst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhegv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublereal *w, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhegvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublereal *w, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhegvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer * - iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, - __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zherfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer *ldaf, - __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, - __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhesv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhesvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer * - ldaf, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, - __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetd2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *tau, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetf2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetrd_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhetrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhfrk_(char *transr, char *uplo, char *trans, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublereal *alpha, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublereal *beta, __CLPK_doublecomplex *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhgeqz_(char *job, char *compq, char *compz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, - __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex * - beta, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *z__, __CLPK_integer * - ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpcon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpev_(char *jobz, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex - *ap, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpevd_(char *jobz, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer * - lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpevx_(char *jobz, char *range, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *iwork, __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpgst_(__CLPK_integer *itype, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *bp, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpgv_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *bp, __CLPK_doublereal *w, __CLPK_doublecomplex - *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpgvd_(__CLPK_integer *itype, char *jobz, char *uplo, __CLPK_integer * - n, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *bp, __CLPK_doublereal *w, __CLPK_doublecomplex - *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal * - rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpgvx_(__CLPK_integer *itype, char *jobz, char *range, char * - uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *bp, __CLPK_doublereal * - vl, __CLPK_doublereal *vu, __CLPK_integer *il, __CLPK_integer *iu, __CLPK_doublereal *abstol, - __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer * - ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, __CLPK_integer *ipiv, __CLPK_doublecomplex * - b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhpsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, __CLPK_integer *ipiv, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhptrd_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhptrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhptri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhsein_(char *side, char *eigsrc, char *initv, __CLPK_logical * - select, __CLPK_integer *n, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, __CLPK_doublecomplex * - w, __CLPK_doublecomplex *vl, __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, - __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, - __CLPK_integer *ifaill, __CLPK_integer *ifailr, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zhseqr_(char *job, char *compz, __CLPK_integer *n, __CLPK_integer *ilo, - __CLPK_integer *ihi, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, __CLPK_doublecomplex *w, - __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlabrd_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *nb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_doublecomplex *tauq, __CLPK_doublecomplex *taup, __CLPK_doublecomplex *x, __CLPK_integer * - ldx, __CLPK_doublecomplex *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacgv_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacn2_(__CLPK_integer *n, __CLPK_doublecomplex *v, __CLPK_doublecomplex *x, - __CLPK_doublereal *est, __CLPK_integer *kase, __CLPK_integer *isave) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacon_(__CLPK_integer *n, __CLPK_doublecomplex *v, __CLPK_doublecomplex *x, - __CLPK_doublereal *est, __CLPK_integer *kase) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacp2_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal * - a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacpy_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacrm_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *b, __CLPK_integer *ldb, __CLPK_doublecomplex *c__, - __CLPK_integer *ldc, __CLPK_doublereal *rwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlacrt_(__CLPK_integer *n, __CLPK_doublecomplex *cx, __CLPK_integer *incx, - __CLPK_doublecomplex *cy, __CLPK_integer *incy, __CLPK_doublecomplex *c__, __CLPK_doublecomplex * - s) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -void zladiv_(__CLPK_doublecomplex * ret_val, __CLPK_doublecomplex *x, - __CLPK_doublecomplex *y) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaed0_(__CLPK_integer *qsiz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *qstore, - __CLPK_integer *ldqs, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaed7_(__CLPK_integer *n, __CLPK_integer *cutpnt, __CLPK_integer *qsiz, - __CLPK_integer *tlvls, __CLPK_integer *curlvl, __CLPK_integer *curpbm, __CLPK_doublereal *d__, - __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublereal *rho, __CLPK_integer *indxq, - __CLPK_doublereal *qstore, __CLPK_integer *qptr, __CLPK_integer *prmptr, __CLPK_integer *perm, - __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_doublereal *givnum, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaed8_(__CLPK_integer *k, __CLPK_integer *n, __CLPK_integer *qsiz, - __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublereal *d__, __CLPK_doublereal *rho, - __CLPK_integer *cutpnt, __CLPK_doublereal *z__, __CLPK_doublereal *dlamda, __CLPK_doublecomplex * - q2, __CLPK_integer *ldq2, __CLPK_doublereal *w, __CLPK_integer *indxp, __CLPK_integer *indx, - __CLPK_integer *indxq, __CLPK_integer *perm, __CLPK_integer *givptr, __CLPK_integer *givcol, - __CLPK_doublereal *givnum, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaein_(__CLPK_logical *rightv, __CLPK_logical *noinit, __CLPK_integer *n, - __CLPK_doublecomplex *h__, __CLPK_integer *ldh, __CLPK_doublecomplex *w, __CLPK_doublecomplex *v, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublereal *rwork, __CLPK_doublereal *eps3, - __CLPK_doublereal *smlnum, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaesy_(__CLPK_doublecomplex *a, __CLPK_doublecomplex *b, - __CLPK_doublecomplex *c__, __CLPK_doublecomplex *rt1, __CLPK_doublecomplex *rt2, - __CLPK_doublecomplex *evscal, __CLPK_doublecomplex *cs1, __CLPK_doublecomplex *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaev2_(__CLPK_doublecomplex *a, __CLPK_doublecomplex *b, - __CLPK_doublecomplex *c__, __CLPK_doublereal *rt1, __CLPK_doublereal *rt2, __CLPK_doublereal *cs1, - __CLPK_doublecomplex *sn1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlag2c_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_complex *sa, __CLPK_integer *ldsa, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlags2_(__CLPK_logical *upper, __CLPK_doublereal *a1, __CLPK_doublecomplex * - a2, __CLPK_doublereal *a3, __CLPK_doublereal *b1, __CLPK_doublecomplex *b2, __CLPK_doublereal *b3, - __CLPK_doublereal *csu, __CLPK_doublecomplex *snu, __CLPK_doublereal *csv, __CLPK_doublecomplex * - snv, __CLPK_doublereal *csq, __CLPK_doublecomplex *snq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlagtm_(char *trans, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *alpha, __CLPK_doublecomplex *dl, __CLPK_doublecomplex *d__, - __CLPK_doublecomplex *du, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *beta, - __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlahef_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *w, - __CLPK_integer *ldw, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlahqr_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, - __CLPK_doublecomplex *w, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlahr2_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *t, - __CLPK_integer *ldt, __CLPK_doublecomplex *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlahrd_(__CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *nb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *t, - __CLPK_integer *ldt, __CLPK_doublecomplex *y, __CLPK_integer *ldy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaic1_(__CLPK_integer *job, __CLPK_integer *j, __CLPK_doublecomplex *x, - __CLPK_doublereal *sest, __CLPK_doublecomplex *w, __CLPK_doublecomplex *gamma, __CLPK_doublereal * - sestpr, __CLPK_doublecomplex *s, __CLPK_doublecomplex *c__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlals0_(__CLPK_integer *icompq, __CLPK_integer *nl, __CLPK_integer *nr, - __CLPK_integer *sqre, __CLPK_integer *nrhs, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *bx, __CLPK_integer *ldbx, __CLPK_integer *perm, __CLPK_integer *givptr, - __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_doublereal *givnum, __CLPK_integer *ldgnum, - __CLPK_doublereal *poles, __CLPK_doublereal *difl, __CLPK_doublereal *difr, __CLPK_doublereal * - z__, __CLPK_integer *k, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublereal *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlalsa_(__CLPK_integer *icompq, __CLPK_integer *smlsiz, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *bx, - __CLPK_integer *ldbx, __CLPK_doublereal *u, __CLPK_integer *ldu, __CLPK_doublereal *vt, __CLPK_integer * - k, __CLPK_doublereal *difl, __CLPK_doublereal *difr, __CLPK_doublereal *z__, __CLPK_doublereal * - poles, __CLPK_integer *givptr, __CLPK_integer *givcol, __CLPK_integer *ldgcol, __CLPK_integer * - perm, __CLPK_doublereal *givnum, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublereal * - rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlalsd_(char *uplo, __CLPK_integer *smlsiz, __CLPK_integer *n, __CLPK_integer - *nrhs, __CLPK_doublereal *d__, __CLPK_doublereal *e, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublereal *rcond, __CLPK_integer *rank, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlangb_(char *norm, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlange_(char *norm, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlangt_(char *norm, __CLPK_integer *n, __CLPK_doublecomplex *dl, __CLPK_doublecomplex * - d__, __CLPK_doublecomplex *du) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanhb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanhe_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanhf_(char *norm, char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanhp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanhs_(char *norm, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlanht_(char *norm, __CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublecomplex *e) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlansb_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlansp_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlansy_(char *norm, char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlantb_(char *norm, char *uplo, char *diag, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlantp_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal zlantr_(char *norm, char *uplo, char *diag, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlapll_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_integer *incx, - __CLPK_doublecomplex *y, __CLPK_integer *incy, __CLPK_doublereal *ssmin) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlapmt_(__CLPK_logical *forwrd, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_integer *k) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqgb_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *r__, __CLPK_doublereal *c__, - __CLPK_doublereal *rowcnd, __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqge_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *r__, __CLPK_doublereal *c__, __CLPK_doublereal *rowcnd, - __CLPK_doublereal *colcnd, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqhb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *s, __CLPK_doublereal *scond, - __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqhe_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqhp_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqp2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *jpvt, __CLPK_doublecomplex *tau, - __CLPK_doublereal *vn1, __CLPK_doublereal *vn2, __CLPK_doublecomplex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqps_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *offset, __CLPK_integer - *nb, __CLPK_integer *kb, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *jpvt, - __CLPK_doublecomplex *tau, __CLPK_doublereal *vn1, __CLPK_doublereal *vn2, __CLPK_doublecomplex * - auxv, __CLPK_doublecomplex *f, __CLPK_integer *ldf) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr0_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, - __CLPK_doublecomplex *w, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr1_(__CLPK_integer *n, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, - __CLPK_doublecomplex *s1, __CLPK_doublecomplex *s2, __CLPK_doublecomplex *v) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr2_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_doublecomplex *h__, - __CLPK_integer *ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_integer *ns, __CLPK_integer *nd, __CLPK_doublecomplex *sh, - __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_integer *nh, __CLPK_doublecomplex *t, - __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_doublecomplex *wv, __CLPK_integer *ldwv, - __CLPK_doublecomplex *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr3_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nw, __CLPK_doublecomplex *h__, - __CLPK_integer *ldh, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_integer *ns, __CLPK_integer *nd, __CLPK_doublecomplex *sh, - __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_integer *nh, __CLPK_doublecomplex *t, - __CLPK_integer *ldt, __CLPK_integer *nv, __CLPK_doublecomplex *wv, __CLPK_integer *ldwv, - __CLPK_doublecomplex *work, __CLPK_integer *lwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr4_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, - __CLPK_doublecomplex *w, __CLPK_integer *iloz, __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqr5_(__CLPK_logical *wantt, __CLPK_logical *wantz, __CLPK_integer *kacc22, - __CLPK_integer *n, __CLPK_integer *ktop, __CLPK_integer *kbot, __CLPK_integer *nshfts, - __CLPK_doublecomplex *s, __CLPK_doublecomplex *h__, __CLPK_integer *ldh, __CLPK_integer *iloz, - __CLPK_integer *ihiz, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *v, - __CLPK_integer *ldv, __CLPK_doublecomplex *u, __CLPK_integer *ldu, __CLPK_integer *nv, - __CLPK_doublecomplex *wv, __CLPK_integer *ldwv, __CLPK_integer *nh, __CLPK_doublecomplex *wh, - __CLPK_integer *ldwh) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqsb_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *s, __CLPK_doublereal *scond, - __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqsp_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaqsy_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - char *equed) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlar1v_(__CLPK_integer *n, __CLPK_integer *b1, __CLPK_integer *bn, __CLPK_doublereal - *lambda, __CLPK_doublereal *d__, __CLPK_doublereal *l, __CLPK_doublereal *ld, __CLPK_doublereal * - lld, __CLPK_doublereal *pivmin, __CLPK_doublereal *gaptol, __CLPK_doublecomplex *z__, - __CLPK_logical *wantnc, __CLPK_integer *negcnt, __CLPK_doublereal *ztz, __CLPK_doublereal *mingma, - __CLPK_integer *r__, __CLPK_integer *isuppz, __CLPK_doublereal *nrminv, __CLPK_doublereal *resid, - __CLPK_doublereal *rqcorr, __CLPK_doublereal *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlar2v_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_doublecomplex *y, - __CLPK_doublecomplex *z__, __CLPK_integer *incx, __CLPK_doublereal *c__, __CLPK_doublecomplex *s, - __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarcm_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *a, __CLPK_integer * - lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, - __CLPK_doublereal *rwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarf_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex - *v, __CLPK_integer *incv, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *c__, __CLPK_integer * - ldc, __CLPK_doublecomplex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarfb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublecomplex *v, __CLPK_integer - *ldv, __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *c__, __CLPK_integer * - ldc, __CLPK_doublecomplex *work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarfg_(__CLPK_integer *n, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex * - x, __CLPK_integer *incx, __CLPK_doublecomplex *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarfp_(__CLPK_integer *n, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex * - x, __CLPK_integer *incx, __CLPK_doublecomplex *tau) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarft_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarfx_(char *side, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *v, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *c__, __CLPK_integer * - ldc, __CLPK_doublecomplex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlargv_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_integer *incx, - __CLPK_doublecomplex *y, __CLPK_integer *incy, __CLPK_doublereal *c__, __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarnv_(__CLPK_integer *idist, __CLPK_integer *iseed, __CLPK_integer *n, - __CLPK_doublecomplex *x) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarrv_(__CLPK_integer *n, __CLPK_doublereal *vl, __CLPK_doublereal *vu, - __CLPK_doublereal *d__, __CLPK_doublereal *l, __CLPK_doublereal *pivmin, __CLPK_integer *isplit, - __CLPK_integer *m, __CLPK_integer *dol, __CLPK_integer *dou, __CLPK_doublereal *minrgp, - __CLPK_doublereal *rtol1, __CLPK_doublereal *rtol2, __CLPK_doublereal *w, __CLPK_doublereal *werr, - __CLPK_doublereal *wgap, __CLPK_integer *iblock, __CLPK_integer *indexw, __CLPK_doublereal *gers, - __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarscl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublecomplex *x, __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlartg_(__CLPK_doublecomplex *f, __CLPK_doublecomplex *g, __CLPK_doublereal * - cs, __CLPK_doublecomplex *sn, __CLPK_doublecomplex *r__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlartv_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_integer *incx, - __CLPK_doublecomplex *y, __CLPK_integer *incy, __CLPK_doublereal *c__, __CLPK_doublecomplex *s, - __CLPK_integer *incc) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarz_(char *side, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, - __CLPK_doublecomplex *v, __CLPK_integer *incv, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarzb_(char *side, char *trans, char *direct, char * - storev, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublecomplex - *v, __CLPK_integer *ldv, __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *c__, - __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *ldwork) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlarzt_(char *direct, char *storev, __CLPK_integer *n, __CLPK_integer * - k, __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - t, __CLPK_integer *ldt) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlascl_(char *type__, __CLPK_integer *kl, __CLPK_integer *ku, - __CLPK_doublereal *cfrom, __CLPK_doublereal *cto, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlascl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublecomplex *x, __CLPK_integer *ldx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaset_(char *uplo, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *alpha, __CLPK_doublecomplex *beta, __CLPK_doublecomplex *a, __CLPK_integer * - lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlasr_(char *side, char *pivot, char *direct, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublereal *c__, __CLPK_doublereal *s, __CLPK_doublecomplex *a, - __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlassq_(__CLPK_integer *n, __CLPK_doublecomplex *x, __CLPK_integer *incx, - __CLPK_doublereal *scale, __CLPK_doublereal *sumsq) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlaswp_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_integer *k1, __CLPK_integer *k2, __CLPK_integer *ipiv, __CLPK_integer *incx) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlasyf_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, __CLPK_integer *kb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *w, - __CLPK_integer *ldw, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlat2c_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_complex *sa, __CLPK_integer *ldsa, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatbs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublecomplex *x, __CLPK_doublereal *scale, __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatdf_(__CLPK_integer *ijob, __CLPK_integer *n, __CLPK_doublecomplex *z__, - __CLPK_integer *ldz, __CLPK_doublecomplex *rhs, __CLPK_doublereal *rdsum, __CLPK_doublereal * - rdscal, __CLPK_integer *ipiv, __CLPK_integer *jpiv) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatps_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *x, __CLPK_doublereal * - scale, __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatrd_(char *uplo, __CLPK_integer *n, __CLPK_integer *nb, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *e, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *w, __CLPK_integer *ldw) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatrs_(char *uplo, char *trans, char *diag, char * - normin, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *x, - __CLPK_doublereal *scale, __CLPK_doublereal *cnorm, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatrz_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *l, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlatzm_(char *side, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_doublecomplex *v, __CLPK_integer *incv, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - c1, __CLPK_doublecomplex *c2, __CLPK_integer *ldc, __CLPK_doublecomplex *work) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlauu2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zlauum_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbcon_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *anorm, __CLPK_doublereal * - rcond, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbequ_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *s, __CLPK_doublereal *scond, - __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *afb, __CLPK_integer * - ldafb, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbstf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *afb, - __CLPK_integer *ldafb, char *equed, __CLPK_doublereal *s, __CLPK_doublecomplex *b, __CLPK_integer - *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal * - ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbtf2_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbtrf_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, - __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpbtrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *kd, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublecomplex *b, __CLPK_integer * - ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpftrf_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpftri_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpftrs_(char *transr, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpocon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpoequ_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpoequb_(__CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zporfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer *ldaf, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zposv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zposvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer * - ldaf, char *equed, __CLPK_doublereal *s, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpotf2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpotrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpotri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpotrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zppcon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex *work, __CLPK_doublereal - *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zppequ_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zppsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zppsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, char *equed, __CLPK_doublereal * - s, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpptrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpptri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpstf2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_doublereal *tol, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpstrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *piv, __CLPK_integer *rank, __CLPK_doublereal *tol, - __CLPK_doublereal *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zptcon_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublecomplex *e, - __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpteqr_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zptrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *d__, __CLPK_doublecomplex *e, __CLPK_doublereal *df, __CLPK_doublecomplex *ef, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zptsv_(__CLPK_integer *n, __CLPK_integer *nrhs, __CLPK_doublereal *d__, - __CLPK_doublecomplex *e, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zptsvx_(char *fact, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *d__, __CLPK_doublecomplex *e, __CLPK_doublereal *df, __CLPK_doublecomplex *ef, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpttrf_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublecomplex *e, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zpttrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *d__, __CLPK_doublecomplex *e, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zptts2_(__CLPK_integer *iuplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublereal *d__, __CLPK_doublecomplex *e, __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zrot_(__CLPK_integer *n, __CLPK_doublecomplex *cx, __CLPK_integer *incx, - __CLPK_doublecomplex *cy, __CLPK_integer *incy, __CLPK_doublereal *c__, __CLPK_doublecomplex *s) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zspcon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zspmv_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *x, __CLPK_integer *incx, __CLPK_doublecomplex * - beta, __CLPK_doublecomplex *y, __CLPK_integer *incy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zspr_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *x, __CLPK_integer *incx, __CLPK_doublecomplex *ap) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsprfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, __CLPK_integer *ipiv, __CLPK_doublecomplex * - b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zspsv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zspsvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *afp, __CLPK_integer *ipiv, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsptrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsptri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsptrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *ap, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zstedc_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublecomplex *work, - __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *lrwork, __CLPK_integer *iwork, - __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zstegr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_doublereal *abstol, __CLPK_integer *m, __CLPK_doublereal *w, - __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_integer *isuppz, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zstein_(__CLPK_integer *n, __CLPK_doublereal *d__, __CLPK_doublereal *e, - __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_integer *iblock, __CLPK_integer *isplit, - __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, __CLPK_integer *iwork, - __CLPK_integer *ifail, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zstemr_(char *jobz, char *range, __CLPK_integer *n, __CLPK_doublereal * - d__, __CLPK_doublereal *e, __CLPK_doublereal *vl, __CLPK_doublereal *vu, __CLPK_integer *il, - __CLPK_integer *iu, __CLPK_integer *m, __CLPK_doublereal *w, __CLPK_doublecomplex *z__, __CLPK_integer * - ldz, __CLPK_integer *nzc, __CLPK_integer *isuppz, __CLPK_logical *tryrac, __CLPK_doublereal *work, - __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsteqr_(char *compz, __CLPK_integer *n, __CLPK_doublereal *d__, - __CLPK_doublereal *e, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, __CLPK_doublereal *work, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsycon_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublereal *anorm, __CLPK_doublereal *rcond, - __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsyequb_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublereal *s, __CLPK_doublereal *scond, __CLPK_doublereal *amax, - __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsymv_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *x, __CLPK_integer *incx, - __CLPK_doublecomplex *beta, __CLPK_doublecomplex *y, __CLPK_integer *incy) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsyr_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *x, __CLPK_integer *incx, __CLPK_doublecomplex *a, __CLPK_integer *lda) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsyrfs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer *ldaf, - __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, - __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, - __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsysv_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsysvx_(char *fact, char *uplo, __CLPK_integer *n, __CLPK_integer * - nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *af, __CLPK_integer * - ldaf, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, - __CLPK_integer *ldx, __CLPK_doublereal *rcond, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsytf2_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsytrf_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsytri_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zsytrs_(char *uplo, __CLPK_integer *n, __CLPK_integer *nrhs, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *ipiv, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztbcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, __CLPK_doublereal *rcond, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztbrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, - __CLPK_doublereal *ferr, __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal * - rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztbtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *kd, __CLPK_integer *nrhs, __CLPK_doublecomplex *ab, __CLPK_integer *ldab, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztfsm_(char *transr, char *side, char *uplo, char *trans, - char *diag, __CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *alpha, - __CLPK_doublecomplex *a, __CLPK_doublecomplex *b, __CLPK_integer *ldb) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztftri_(char *transr, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztfttp_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *arf, __CLPK_doublecomplex *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztfttr_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *arf, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublecomplex *s, __CLPK_integer *lds, __CLPK_doublecomplex *p, __CLPK_integer - *ldp, __CLPK_doublecomplex *vl, __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer * - ldvr, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgex2_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_integer *j1, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgexc_(__CLPK_logical *wantq, __CLPK_logical *wantz, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *z__, __CLPK_integer *ldz, - __CLPK_integer *ifst, __CLPK_integer *ilst, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgsen_(__CLPK_integer *ijob, __CLPK_logical *wantq, __CLPK_logical *wantz, - __CLPK_logical *select, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublecomplex *alpha, __CLPK_doublecomplex * - beta, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex *z__, __CLPK_integer * - ldz, __CLPK_integer *m, __CLPK_doublereal *pl, __CLPK_doublereal *pr, __CLPK_doublereal *dif, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *liwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgsja_(char *jobu, char *jobv, char *jobq, __CLPK_integer *m, - __CLPK_integer *p, __CLPK_integer *n, __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, __CLPK_doublereal *tola, - __CLPK_doublereal *tolb, __CLPK_doublereal *alpha, __CLPK_doublereal *beta, __CLPK_doublecomplex * - u, __CLPK_integer *ldu, __CLPK_doublecomplex *v, __CLPK_integer *ldv, __CLPK_doublecomplex *q, - __CLPK_integer *ldq, __CLPK_doublecomplex *work, __CLPK_integer *ncycle, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer - *ldb, __CLPK_doublecomplex *vl, __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer * - ldvr, __CLPK_doublereal *s, __CLPK_doublereal *dif, __CLPK_integer *mm, __CLPK_integer *m, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgsy2_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *d__, __CLPK_integer *ldd, - __CLPK_doublecomplex *e, __CLPK_integer *lde, __CLPK_doublecomplex *f, __CLPK_integer *ldf, - __CLPK_doublereal *scale, __CLPK_doublereal *rdsum, __CLPK_doublereal *rdscal, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztgsyl_(char *trans, __CLPK_integer *ijob, __CLPK_integer *m, __CLPK_integer * - n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *d__, __CLPK_integer *ldd, - __CLPK_doublecomplex *e, __CLPK_integer *lde, __CLPK_doublecomplex *f, __CLPK_integer *ldf, - __CLPK_doublereal *scale, __CLPK_doublereal *dif, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_integer *iwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztpcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublereal *rcond, __CLPK_doublecomplex *work, __CLPK_doublereal - *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztprfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, __CLPK_doublereal *berr, - __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztptri_(char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztptrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *b, __CLPK_integer *ldb, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztpttf_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *ap, __CLPK_doublecomplex *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztpttr_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrcon_(char *norm, char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublereal *rcond, __CLPK_doublecomplex * - work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrevc_(char *side, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *vl, - __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, __CLPK_integer *mm, __CLPK_integer - *m, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrexc_(char *compq, __CLPK_integer *n, __CLPK_doublecomplex *t, - __CLPK_integer *ldt, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_integer *ifst, __CLPK_integer * - ilst, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrrfs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *x, __CLPK_integer *ldx, __CLPK_doublereal *ferr, - __CLPK_doublereal *berr, __CLPK_doublecomplex *work, __CLPK_doublereal *rwork, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrsen_(char *job, char *compq, __CLPK_logical *select, __CLPK_integer - *n, __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *q, __CLPK_integer *ldq, - __CLPK_doublecomplex *w, __CLPK_integer *m, __CLPK_doublereal *s, __CLPK_doublereal *sep, - __CLPK_doublecomplex *work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrsna_(char *job, char *howmny, __CLPK_logical *select, - __CLPK_integer *n, __CLPK_doublecomplex *t, __CLPK_integer *ldt, __CLPK_doublecomplex *vl, - __CLPK_integer *ldvl, __CLPK_doublecomplex *vr, __CLPK_integer *ldvr, __CLPK_doublereal *s, - __CLPK_doublereal *sep, __CLPK_integer *mm, __CLPK_integer *m, __CLPK_doublecomplex *work, - __CLPK_integer *ldwork, __CLPK_doublereal *rwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrsyl_(char *trana, char *tranb, __CLPK_integer *isgn, __CLPK_integer - *m, __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublereal *scale, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrti2_(char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrtri_(char *uplo, char *diag, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrtrs_(char *uplo, char *trans, char *diag, __CLPK_integer *n, - __CLPK_integer *nrhs, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *b, - __CLPK_integer *ldb, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrttf_(char *transr, char *uplo, __CLPK_integer *n, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *arf, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztrttp_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *ap, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztzrqf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ztzrzf_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zung2l_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zung2r_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungbr_(char *vect, __CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunghr_(__CLPK_integer *n, __CLPK_integer *ilo, __CLPK_integer *ihi, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungl2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunglq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungql_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungqr_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungr2_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungrq_(__CLPK_integer *m, __CLPK_integer *n, __CLPK_integer *k, - __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zungtr_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *a, - __CLPK_integer *lda, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunm2l_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunm2r_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmbr_(char *vect, char *side, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex - *tau, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmhr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *ilo, __CLPK_integer *ihi, __CLPK_doublecomplex *a, __CLPK_integer *lda, - __CLPK_doublecomplex *tau, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex * - work, __CLPK_integer *lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunml2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmlq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmql_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmqr_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmr2_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmr3_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex - *tau, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer * - info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmrq_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmrz_(char *side, char *trans, __CLPK_integer *m, __CLPK_integer *n, - __CLPK_integer *k, __CLPK_integer *l, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex - *tau, __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer * - lwork, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zunmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublecomplex *a, __CLPK_integer *lda, __CLPK_doublecomplex *tau, - __CLPK_doublecomplex *c__, __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *lwork, - __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zupgtr_(char *uplo, __CLPK_integer *n, __CLPK_doublecomplex *ap, - __CLPK_doublecomplex *tau, __CLPK_doublecomplex *q, __CLPK_integer *ldq, __CLPK_doublecomplex * - work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int zupmtr_(char *side, char *uplo, char *trans, __CLPK_integer *m, - __CLPK_integer *n, __CLPK_doublecomplex *ap, __CLPK_doublecomplex *tau, __CLPK_doublecomplex *c__, - __CLPK_integer *ldc, __CLPK_doublecomplex *work, __CLPK_integer *info) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamc1_(__CLPK_integer *beta, __CLPK_integer *t, __CLPK_logical *rnd, __CLPK_logical - *ieee1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int ilaver_(__CLPK_integer *vers_major__, __CLPK_integer *vers_minor__, - __CLPK_integer *vers_patch__) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slamch_(char *cmach) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slamc1_(__CLPK_integer *beta, __CLPK_integer *t, __CLPK_logical *rnd, __CLPK_logical - *ieee1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slamc2_(__CLPK_integer *beta, __CLPK_integer *t, __CLPK_logical *rnd, __CLPK_real * - eps, __CLPK_integer *emin, __CLPK_real *rmin, __CLPK_integer *emax, __CLPK_real *rmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal slamc3_(__CLPK_real *a, __CLPK_real *b) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slamc4_(__CLPK_integer *emin, __CLPK_real *start, __CLPK_integer *base) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int slamc5_(__CLPK_integer *beta, __CLPK_integer *p, __CLPK_integer *emin, - __CLPK_logical *ieee, __CLPK_integer *emax, __CLPK_real *rmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - - -__CLPK_doublereal dlamch_(char *cmach) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamc1_(__CLPK_integer *beta, __CLPK_integer *t, __CLPK_logical *rnd, __CLPK_logical - *ieee1) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamc2_(__CLPK_integer *beta, __CLPK_integer *t, __CLPK_logical *rnd, - __CLPK_doublereal *eps, __CLPK_integer *emin, __CLPK_doublereal *rmin, __CLPK_integer *emax, - __CLPK_doublereal *rmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_doublereal dlamc3_(__CLPK_doublereal *a, __CLPK_doublereal *b) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamc4_(__CLPK_integer *emin, __CLPK_doublereal *start, __CLPK_integer *base) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -int dlamc5_(__CLPK_integer *beta, __CLPK_integer *p, __CLPK_integer *emin, - __CLPK_logical *ieee, __CLPK_integer *emax, __CLPK_doublereal *rmax) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - -__CLPK_integer ilaenv_(__CLPK_integer *ispec, char *name__, char *opts, __CLPK_integer *n1, - __CLPK_integer *n2, __CLPK_integer *n3, __CLPK_integer *n4) __OSX_AVAILABLE_STARTING(__MAC_10_2,__IPHONE_4_0); - - -#ifdef __cplusplus -} -#endif -#endif /* __CLAPACK_H */ diff --git a/develop/_Accelerators/CrayWorkshop/f_apply.c b/develop/_Accelerators/CrayWorkshop/f_apply.c deleted file mode 100755 index 700c9f0..0000000 --- a/develop/_Accelerators/CrayWorkshop/f_apply.c +++ /dev/null @@ -1,5813 +0,0 @@ -/* Generated by Cython 0.20dev on Mon Jan 6 19:16:31 2014 */ - -#define PY_SSIZE_T_CLEAN -#ifndef CYTHON_USE_PYLONG_INTERNALS -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 0 -#else -#include "pyconfig.h" -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 1 -#else -#define CYTHON_USE_PYLONG_INTERNALS 0 -#endif -#endif -#endif -#include "Python.h" -#ifndef Py_PYTHON_H - #error Python headers needed to compile C extensions, please install development version of Python. -#elif PY_VERSION_HEX < 0x02040000 - #error Cython requires Python 2.4+. -#else -#define CYTHON_ABI "0_20dev" -#include /* For offsetof */ -#ifndef offsetof -#define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) -#endif -#if !defined(WIN32) && !defined(MS_WINDOWS) - #ifndef __stdcall - #define __stdcall - #endif - #ifndef __cdecl - #define __cdecl - #endif - #ifndef __fastcall - #define __fastcall - #endif -#endif -#ifndef DL_IMPORT - #define DL_IMPORT(t) t -#endif -#ifndef DL_EXPORT - #define DL_EXPORT(t) t -#endif -#ifndef PY_LONG_LONG - #define PY_LONG_LONG LONG_LONG -#endif -#ifndef Py_HUGE_VAL - #define Py_HUGE_VAL HUGE_VAL -#endif -#ifdef PYPY_VERSION -#define CYTHON_COMPILING_IN_PYPY 1 -#define CYTHON_COMPILING_IN_CPYTHON 0 -#else -#define CYTHON_COMPILING_IN_PYPY 0 -#define CYTHON_COMPILING_IN_CPYTHON 1 -#endif -#if CYTHON_COMPILING_IN_PYPY -#define Py_OptimizeFlag 0 -#endif -#if PY_VERSION_HEX < 0x02050000 - typedef int Py_ssize_t; - #define PY_SSIZE_T_MAX INT_MAX - #define PY_SSIZE_T_MIN INT_MIN - #define PY_FORMAT_SIZE_T "" - #define CYTHON_FORMAT_SSIZE_T "" - #define PyInt_FromSsize_t(z) PyInt_FromLong(z) - #define PyInt_AsSsize_t(o) __Pyx_PyInt_As_int(o) - #define PyNumber_Index(o) ((PyNumber_Check(o) && !PyFloat_Check(o)) ? PyNumber_Int(o) : \ - (PyErr_Format(PyExc_TypeError, \ - "expected index value, got %.200s", Py_TYPE(o)->tp_name), \ - (PyObject*)0)) - #define __Pyx_PyIndex_Check(o) (PyNumber_Check(o) && !PyFloat_Check(o) && \ - !PyComplex_Check(o)) - #define PyIndex_Check __Pyx_PyIndex_Check - #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message) - #define __PYX_BUILD_PY_SSIZE_T "i" -#else - #define __PYX_BUILD_PY_SSIZE_T "n" - #define CYTHON_FORMAT_SSIZE_T "z" - #define __Pyx_PyIndex_Check PyIndex_Check -#endif -#if PY_VERSION_HEX < 0x02060000 - #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt) - #define Py_TYPE(ob) (((PyObject*)(ob))->ob_type) - #define Py_SIZE(ob) (((PyVarObject*)(ob))->ob_size) - #define PyVarObject_HEAD_INIT(type, size) \ - PyObject_HEAD_INIT(type) size, - #define PyType_Modified(t) - typedef struct { - void *buf; - PyObject *obj; - Py_ssize_t len; - Py_ssize_t itemsize; - int readonly; - int ndim; - char *format; - Py_ssize_t *shape; - Py_ssize_t *strides; - Py_ssize_t *suboffsets; - void *internal; - } Py_buffer; - #define PyBUF_SIMPLE 0 - #define PyBUF_WRITABLE 0x0001 - #define PyBUF_FORMAT 0x0004 - #define PyBUF_ND 0x0008 - #define PyBUF_STRIDES (0x0010 | PyBUF_ND) - #define PyBUF_C_CONTIGUOUS (0x0020 | PyBUF_STRIDES) - #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES) - #define PyBUF_ANY_CONTIGUOUS (0x0080 | PyBUF_STRIDES) - #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES) - #define PyBUF_RECORDS (PyBUF_STRIDES | PyBUF_FORMAT | PyBUF_WRITABLE) - #define PyBUF_FULL (PyBUF_INDIRECT | PyBUF_FORMAT | PyBUF_WRITABLE) - typedef int (*getbufferproc)(PyObject *, Py_buffer *, int); - typedef void (*releasebufferproc)(PyObject *, Py_buffer *); -#endif -#if PY_MAJOR_VERSION < 3 - #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) -#else - #define __Pyx_BUILTIN_MODULE_NAME "builtins" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PyUnicode_FromString(s) PyUnicode_Decode(s, strlen(s), "UTF-8", "strict") -#endif -#if PY_MAJOR_VERSION >= 3 - #define Py_TPFLAGS_CHECKTYPES 0 - #define Py_TPFLAGS_HAVE_INDEX 0 -#endif -#if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3) - #define Py_TPFLAGS_HAVE_NEWBUFFER 0 -#endif -#if PY_VERSION_HEX < 0x02060000 - #define Py_TPFLAGS_HAVE_VERSION_TAG 0 -#endif -#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE) - #define Py_TPFLAGS_HAVE_FINALIZE 0 -#endif -#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) - #define CYTHON_PEP393_ENABLED 1 - #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ? \ - 0 : _PyUnicode_Ready((PyObject *)(op))) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) - #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) - #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) - #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) -#else - #define CYTHON_PEP393_ENABLED 0 - #define __Pyx_PyUnicode_READY(op) (0) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) - #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) - #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) - #define __Pyx_PyUnicode_READ(k, d, i) ((k=k), (Py_UCS4)(((Py_UNICODE*)d)[i])) -#endif -#define __Pyx_PyUnicode_Format(a, b) ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) -#define __Pyx_PyUnicode_Concat(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \ - PyNumber_Add(a, b) : PyUnicode_Concat(a, b)) -#if PY_MAJOR_VERSION >= 3 - #define PyBaseString_Type PyUnicode_Type - #define PyStringObject PyUnicodeObject - #define PyString_Type PyUnicode_Type - #define PyString_Check PyUnicode_Check - #define PyString_CheckExact PyUnicode_CheckExact -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PyBytesObject PyStringObject - #define PyBytes_Type PyString_Type - #define PyBytes_Check PyString_Check - #define PyBytes_CheckExact PyString_CheckExact - #define PyBytes_FromString PyString_FromString - #define PyBytes_FromStringAndSize PyString_FromStringAndSize - #define PyBytes_FromFormat PyString_FromFormat - #define PyBytes_DecodeEscape PyString_DecodeEscape - #define PyBytes_AsString PyString_AsString - #define PyBytes_AsStringAndSize PyString_AsStringAndSize - #define PyBytes_Size PyString_Size - #define PyBytes_AS_STRING PyString_AS_STRING - #define PyBytes_GET_SIZE PyString_GET_SIZE - #define PyBytes_Repr PyString_Repr - #define PyBytes_Concat PyString_Concat - #define PyBytes_ConcatAndDel PyString_ConcatAndDel -#endif -#if PY_MAJOR_VERSION >= 3 - #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) - #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) -#else - #define __Pyx_PyBaseString_Check(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj) || \ - PyString_Check(obj) || PyUnicode_Check(obj)) - #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PySet_Check(obj) PyObject_TypeCheck(obj, &PySet_Type) - #define PyFrozenSet_Check(obj) PyObject_TypeCheck(obj, &PyFrozenSet_Type) -#endif -#ifndef PySet_CheckExact - #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) -#endif -#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) -#if PY_MAJOR_VERSION >= 3 - #define PyIntObject PyLongObject - #define PyInt_Type PyLong_Type - #define PyInt_Check(op) PyLong_Check(op) - #define PyInt_CheckExact(op) PyLong_CheckExact(op) - #define PyInt_FromString PyLong_FromString - #define PyInt_FromUnicode PyLong_FromUnicode - #define PyInt_FromLong PyLong_FromLong - #define PyInt_FromSize_t PyLong_FromSize_t - #define PyInt_FromSsize_t PyLong_FromSsize_t - #define PyInt_AsLong PyLong_AsLong - #define PyInt_AS_LONG PyLong_AS_LONG - #define PyInt_AsSsize_t PyLong_AsSsize_t - #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask - #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask - #define PyNumber_Int PyNumber_Long -#endif -#if PY_MAJOR_VERSION >= 3 - #define PyBoolObject PyLongObject -#endif -#if PY_VERSION_HEX < 0x03020000 - typedef long Py_hash_t; - #define __Pyx_PyInt_FromHash_t PyInt_FromLong - #define __Pyx_PyInt_AsHash_t PyInt_AsLong -#else - #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t - #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t -#endif -#if (PY_MAJOR_VERSION < 3) || (PY_VERSION_HEX >= 0x03010300) - #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b) - #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value) - #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b) -#else - #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0))) - #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1))) - #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1))) -#endif -#if PY_MAJOR_VERSION >= 3 - #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func)) -#endif -#if PY_VERSION_HEX < 0x02050000 - #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),((char *)(n))) - #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a)) - #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),((char *)(n))) -#else - #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),(n)) - #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a)) - #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),(n)) -#endif -#if PY_VERSION_HEX < 0x02050000 - #define __Pyx_NAMESTR(n) ((char *)(n)) - #define __Pyx_DOCSTR(n) ((char *)(n)) -#else - #define __Pyx_NAMESTR(n) (n) - #define __Pyx_DOCSTR(n) (n) -#endif -#ifndef CYTHON_INLINE - #if defined(__GNUC__) - #define CYTHON_INLINE __inline__ - #elif defined(_MSC_VER) - #define CYTHON_INLINE __inline - #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L - #define CYTHON_INLINE inline - #else - #define CYTHON_INLINE - #endif -#endif -#ifndef CYTHON_RESTRICT - #if defined(__GNUC__) - #define CYTHON_RESTRICT __restrict__ - #elif defined(_MSC_VER) && _MSC_VER >= 1400 - #define CYTHON_RESTRICT __restrict - #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L - #define CYTHON_RESTRICT restrict - #else - #define CYTHON_RESTRICT - #endif -#endif -#ifdef NAN -#define __PYX_NAN() ((float) NAN) -#else -static CYTHON_INLINE float __PYX_NAN() { - /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and - a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is - a quiet NaN. */ - float value; - memset(&value, 0xFF, sizeof(value)); - return value; -} -#endif - - -#if PY_MAJOR_VERSION >= 3 - #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) - #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) -#else - #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) - #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) -#endif - -#ifndef __PYX_EXTERN_C - #ifdef __cplusplus - #define __PYX_EXTERN_C extern "C" - #else - #define __PYX_EXTERN_C extern - #endif -#endif - -#if defined(WIN32) || defined(MS_WINDOWS) -#define _USE_MATH_DEFINES -#endif -#include -#define __PYX_HAVE__f_apply -#define __PYX_HAVE_API__f_apply -#include "string.h" -#include "stdio.h" -#include "stdlib.h" -#include "numpy/arrayobject.h" -#include "numpy/ufuncobject.h" -#ifdef _OPENMP -#include -#endif /* _OPENMP */ - -#ifdef PYREX_WITHOUT_ASSERTIONS -#define CYTHON_WITHOUT_ASSERTIONS -#endif - -#ifndef CYTHON_UNUSED -# if defined(__GNUC__) -# if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) -# define CYTHON_UNUSED __attribute__ ((__unused__)) -# else -# define CYTHON_UNUSED -# endif -# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) -# define CYTHON_UNUSED __attribute__ ((__unused__)) -# else -# define CYTHON_UNUSED -# endif -#endif -typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding; - const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/ - -#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 -#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0 -#define __PYX_DEFAULT_STRING_ENCODING "" -#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString -#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize -#define __Pyx_fits_Py_ssize_t(v, type, is_signed) ( \ - (sizeof(type) < sizeof(Py_ssize_t)) || \ - (sizeof(type) > sizeof(Py_ssize_t) && \ - likely(v < (type)PY_SSIZE_T_MAX || \ - v == (type)PY_SSIZE_T_MAX) && \ - (!is_signed || likely(v > (type)PY_SSIZE_T_MIN || \ - v == (type)PY_SSIZE_T_MIN))) || \ - (sizeof(type) == sizeof(Py_ssize_t) && \ - (is_signed || likely(v < (type)PY_SSIZE_T_MAX || \ - v == (type)PY_SSIZE_T_MAX))) ) -static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*); -static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length); -#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) -#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) -#define __Pyx_PyBytes_FromString PyBytes_FromString -#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize -static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char*); -#if PY_MAJOR_VERSION < 3 - #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString - #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize -#else - #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString - #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize -#endif -#define __Pyx_PyObject_AsSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) -#define __Pyx_PyObject_AsUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) -#define __Pyx_PyObject_FromUString(s) __Pyx_PyObject_FromString((char*)s) -#define __Pyx_PyBytes_FromUString(s) __Pyx_PyBytes_FromString((char*)s) -#define __Pyx_PyByteArray_FromUString(s) __Pyx_PyByteArray_FromString((char*)s) -#define __Pyx_PyStr_FromUString(s) __Pyx_PyStr_FromString((char*)s) -#define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((char*)s) -#if PY_MAJOR_VERSION < 3 -static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) -{ - const Py_UNICODE *u_end = u; - while (*u_end++) ; - return u_end - u - 1; -} -#else -#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen -#endif -#define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) -#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode -#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode -#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None) -#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False)) -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*); -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x); -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*); -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t); -#if CYTHON_COMPILING_IN_CPYTHON -#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) -#else -#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) -#endif -#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) -#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII -static int __Pyx_sys_getdefaultencoding_not_ascii; -static int __Pyx_init_sys_getdefaultencoding_params(void) { - PyObject* sys = NULL; - PyObject* default_encoding = NULL; - PyObject* ascii_chars_u = NULL; - PyObject* ascii_chars_b = NULL; - sys = PyImport_ImportModule("sys"); - if (sys == NULL) goto bad; - default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); - if (default_encoding == NULL) goto bad; - if (strcmp(PyBytes_AsString(default_encoding), "ascii") == 0) { - __Pyx_sys_getdefaultencoding_not_ascii = 0; - } else { - const char* default_encoding_c = PyBytes_AS_STRING(default_encoding); - char ascii_chars[128]; - int c; - for (c = 0; c < 128; c++) { - ascii_chars[c] = c; - } - __Pyx_sys_getdefaultencoding_not_ascii = 1; 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-static int __Pyx_init_sys_getdefaultencoding_params(void) { - PyObject* sys = NULL; - PyObject* default_encoding = NULL; - char* default_encoding_c; - sys = PyImport_ImportModule("sys"); - if (sys == NULL) goto bad; - default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); - if (default_encoding == NULL) goto bad; - default_encoding_c = PyBytes_AS_STRING(default_encoding); - __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c)); - strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c); - Py_DECREF(sys); - Py_DECREF(default_encoding); - return 0; -bad: - Py_XDECREF(sys); - Py_XDECREF(default_encoding); - return -1; -} -#endif -#endif - - -#ifdef __GNUC__ - /* Test for GCC > 2.95 */ - #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)) - #define likely(x) __builtin_expect(!!(x), 1) - #define unlikely(x) __builtin_expect(!!(x), 0) - #else /* __GNUC__ > 2 ... */ - #define likely(x) (x) - #define unlikely(x) (x) - #endif /* __GNUC__ > 2 ... */ -#else /* __GNUC__ */ - #define likely(x) (x) - #define unlikely(x) (x) -#endif /* __GNUC__ */ - -static PyObject *__pyx_m; 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__pyx_t_1 = 0; - - /* "f_apply.pyx":1 - * # -*- coding: utf-8 -*- # <<<<<<<<<<<<<< - * """ - * Created on Wed Nov 27 14:07:48 2013 - */ - __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;} - __Pyx_GOTREF(__pyx_t_1); - if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;} - __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; - - /* "/usr/local/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":975 - * arr.base = baseptr - * - * cdef inline object get_array_base(ndarray arr): # <<<<<<<<<<<<<< - * if arr.base is NULL: - * return None - */ - goto __pyx_L0; - __pyx_L1_error:; - __Pyx_XDECREF(__pyx_t_1); - if (__pyx_m) { - __Pyx_AddTraceback("init f_apply", __pyx_clineno, __pyx_lineno, __pyx_filename); - Py_DECREF(__pyx_m); __pyx_m = 0; - } else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_ImportError, "init f_apply"); 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"" : "s", num_found); -} - -static void __Pyx_RaiseDoubleKeywordsError( - const char* func_name, - PyObject* kw_name) -{ - PyErr_Format(PyExc_TypeError, - #if PY_MAJOR_VERSION >= 3 - "%s() got multiple values for keyword argument '%U'", func_name, kw_name); - #else - "%s() got multiple values for keyword argument '%s'", func_name, - PyString_AsString(kw_name)); - #endif -} - -static int __Pyx_ParseOptionalKeywords( - PyObject *kwds, - PyObject **argnames[], - PyObject *kwds2, - PyObject *values[], - Py_ssize_t num_pos_args, - const char* function_name) -{ - PyObject *key = 0, *value = 0; - Py_ssize_t pos = 0; - PyObject*** name; - PyObject*** first_kw_arg = argnames + num_pos_args; - while (PyDict_Next(kwds, &pos, &key, &value)) { - name = first_kw_arg; - while (*name && (**name != key)) name++; - if (*name) { - values[name-argnames] = value; - continue; - } - name = first_kw_arg; - #if PY_MAJOR_VERSION < 3 - if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) { - while (*name) { - if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key)) - && _PyString_Eq(**name, key)) { - values[name-argnames] = value; - break; - } - name++; - } - if (*name) continue; - else { - PyObject*** argname = argnames; - while (argname != first_kw_arg) { - if ((**argname == key) || ( - (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key)) - && _PyString_Eq(**argname, key))) { - goto arg_passed_twice; - } - argname++; - } - } - } else - #endif - if (likely(PyUnicode_Check(key))) { - while (*name) { - int cmp = (**name == key) ? 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'C' : 'R'); - case 'O': - return 'O'; - case 'P': - return 'P'; - default: { - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } - } -} -static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { - if (ctx->head == NULL || ctx->head->field == &ctx->root) { - const char* expected; - const char* quote; - if (ctx->head == NULL) { - expected = "end"; - quote = ""; - } else { - expected = ctx->head->field->type->name; - quote = "'"; - } - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected %s%s%s but got %s", - quote, expected, quote, - __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); - } else { - __Pyx_StructField* field = ctx->head->field; - __Pyx_StructField* parent = (ctx->head - 1)->field; - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", - field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), - parent->type->name, field->name); - } -} -static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { - char group; - size_t size, offset, arraysize = 1; - if (ctx->enc_type == 0) return 0; - if (ctx->head->field->type->arraysize[0]) { - int i, ndim = 0; - if (ctx->enc_type == 's' || ctx->enc_type == 'p') { - ctx->is_valid_array = ctx->head->field->type->ndim == 1; - ndim = 1; - if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { - PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %zu", - ctx->head->field->type->arraysize[0], ctx->enc_count); - return -1; - } - } - if (!ctx->is_valid_array) { - PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", - ctx->head->field->type->ndim, ndim); - return -1; - } - for (i = 0; i < ctx->head->field->type->ndim; i++) { - arraysize *= ctx->head->field->type->arraysize[i]; - } - ctx->is_valid_array = 0; - ctx->enc_count = 1; - } - group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); - do { - __Pyx_StructField* field = ctx->head->field; - __Pyx_TypeInfo* type = field->type; - if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { - size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); - } else { - size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); - } - if (ctx->enc_packmode == '@') { - size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); - size_t align_mod_offset; - if (align_at == 0) return -1; - align_mod_offset = ctx->fmt_offset % align_at; - if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; - if (ctx->struct_alignment == 0) - ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, - ctx->is_complex); - } - if (type->size != size || type->typegroup != group) { - if (type->typegroup == 'C' && type->fields != NULL) { - size_t parent_offset = ctx->head->parent_offset + field->offset; - ++ctx->head; - ctx->head->field = type->fields; - ctx->head->parent_offset = parent_offset; - continue; - } - if ((type->typegroup == 'H' || group == 'H') && type->size == size) { - } else { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - } - offset = ctx->head->parent_offset + field->offset; - if (ctx->fmt_offset != offset) { - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", - (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); - return -1; - } - ctx->fmt_offset += size; - if (arraysize) - ctx->fmt_offset += (arraysize - 1) * size; - --ctx->enc_count; /* Consume from buffer string */ - while (1) { - if (field == &ctx->root) { - ctx->head = NULL; - if (ctx->enc_count != 0) { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - break; /* breaks both loops as ctx->enc_count == 0 */ - } - ctx->head->field = ++field; - if (field->type == NULL) { - --ctx->head; - field = ctx->head->field; - continue; - } else if (field->type->typegroup == 'S') { - size_t parent_offset = ctx->head->parent_offset + field->offset; - if (field->type->fields->type == NULL) continue; /* empty struct */ - field = field->type->fields; - ++ctx->head; - ctx->head->field = field; - ctx->head->parent_offset = parent_offset; - break; - } else { - break; - } - } - } while (ctx->enc_count); - ctx->enc_type = 0; - ctx->is_complex = 0; - return 0; -} -static CYTHON_INLINE PyObject * -__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) -{ - const char *ts = *tsp; - int i = 0, number; - int ndim = ctx->head->field->type->ndim; -; - ++ts; - if (ctx->new_count != 1) { - PyErr_SetString(PyExc_ValueError, - "Cannot handle repeated arrays in format string"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - while (*ts && *ts != ')') { - if (isspace(*ts)) - continue; - number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) - return PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %d", - ctx->head->field->type->arraysize[i], number); - if (*ts != ',' && *ts != ')') - return PyErr_Format(PyExc_ValueError, - "Expected a comma in format string, got '%c'", *ts); - if (*ts == ',') ts++; - i++; - } - if (i != ndim) - return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", - ctx->head->field->type->ndim, i); - if (!*ts) { - PyErr_SetString(PyExc_ValueError, - "Unexpected end of format string, expected ')'"); - return NULL; - } - ctx->is_valid_array = 1; - ctx->new_count = 1; - *tsp = ++ts; - return Py_None; -} -static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { - int got_Z = 0; - while (1) { - switch(*ts) { - case 0: - if (ctx->enc_type != 0 && ctx->head == NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - if (ctx->head != NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - return ts; - case ' ': - case 10: - case 13: - ++ts; - break; - case '<': - if (!__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '>': - case '!': - if (__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '=': - case '@': - case '^': - ctx->new_packmode = *ts++; - break; - case 'T': /* substruct */ - { - const char* ts_after_sub; - size_t i, struct_count = ctx->new_count; - size_t struct_alignment = ctx->struct_alignment; - ctx->new_count = 1; - ++ts; - if (*ts != '{') { - PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; /* Erase processed last struct element */ - ctx->enc_count = 0; - ctx->struct_alignment = 0; - ++ts; - ts_after_sub = ts; - for (i = 0; i != struct_count; ++i) { - ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); - if (!ts_after_sub) return NULL; - } - ts = ts_after_sub; - if (struct_alignment) ctx->struct_alignment = struct_alignment; - } - break; - case '}': /* end of substruct; either repeat or move on */ - { - size_t alignment = ctx->struct_alignment; - ++ts; - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; /* Erase processed last struct element */ - if (alignment && ctx->fmt_offset % alignment) { - ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); - } - } - return ts; - case 'x': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->fmt_offset += ctx->new_count; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->enc_packmode = ctx->new_packmode; - ++ts; - break; - case 'Z': - got_Z = 1; - ++ts; - if (*ts != 'f' && *ts != 'd' && *ts != 'g') { - __Pyx_BufFmt_RaiseUnexpectedChar('Z'); - return NULL; - } /* fall through */ - case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': - case 'l': case 'L': case 'q': case 'Q': - case 'f': case 'd': case 'g': - case 'O': case 's': case 'p': - if (ctx->enc_type == *ts && got_Z == ctx->is_complex && - ctx->enc_packmode == ctx->new_packmode) { - ctx->enc_count += ctx->new_count; - } else { - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_count = ctx->new_count; - ctx->enc_packmode = ctx->new_packmode; - ctx->enc_type = *ts; - ctx->is_complex = got_Z; - } - ++ts; - ctx->new_count = 1; - got_Z = 0; - break; - case ':': - ++ts; - while(*ts != ':') ++ts; - ++ts; - break; - case '(': - if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; - break; - default: - { - int number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - ctx->new_count = (size_t)number; - } - } - } -} -static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { - buf->buf = NULL; - buf->obj = NULL; - buf->strides = __Pyx_zeros; - buf->shape = __Pyx_zeros; - buf->suboffsets = __Pyx_minusones; -} -static CYTHON_INLINE int __Pyx_GetBufferAndValidate( - Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, - int nd, int cast, __Pyx_BufFmt_StackElem* stack) -{ - if (obj == Py_None || obj == NULL) { - __Pyx_ZeroBuffer(buf); - return 0; - } - buf->buf = NULL; - if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; - if (buf->ndim != nd) { - PyErr_Format(PyExc_ValueError, - "Buffer has wrong number of dimensions (expected %d, got %d)", - nd, buf->ndim); - goto fail; - } - if (!cast) { - __Pyx_BufFmt_Context ctx; - __Pyx_BufFmt_Init(&ctx, stack, dtype); - if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; - } - if ((unsigned)buf->itemsize != dtype->size) { - PyErr_Format(PyExc_ValueError, - "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", - buf->itemsize, (buf->itemsize > 1) ? "s" : "", - dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); - goto fail; - } - if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; - return 0; -fail:; - __Pyx_ZeroBuffer(buf); - return -1; -} -static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { - if (info->buf == NULL) return; - if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; - __Pyx_ReleaseBuffer(info); -} - -static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyThreadState *tstate = PyThreadState_GET(); - tmp_type = tstate->curexc_type; - tmp_value = tstate->curexc_value; - tmp_tb = tstate->curexc_traceback; - tstate->curexc_type = type; - tstate->curexc_value = value; - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_type); - Py_XDECREF(tmp_value); - Py_XDECREF(tmp_tb); -#else - PyErr_Restore(type, value, tb); -#endif -} -static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - *type = tstate->curexc_type; - *value = tstate->curexc_value; - *tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; -#else - PyErr_Fetch(type, value, tb); -#endif -} - -static PyObject *__Pyx_GetBuiltinName(PyObject *name) { - PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name); - if (unlikely(!result)) { - PyErr_Format(PyExc_NameError, -#if PY_MAJOR_VERSION >= 3 - "name '%U' is not defined", name); -#else - "name '%.200s' is not defined", PyString_AS_STRING(name)); -#endif - } - return result; -} - -#if PY_MAJOR_VERSION < 3 -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, - CYTHON_UNUSED PyObject *cause) { - Py_XINCREF(type); - if (!value || value == Py_None) - value = NULL; - else - Py_INCREF(value); - if (!tb || tb == Py_None) - tb = NULL; - else { - Py_INCREF(tb); - if (!PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto raise_error; - } - } - #if PY_VERSION_HEX < 0x02050000 - if (PyClass_Check(type)) { - #else - if (PyType_Check(type)) { - #endif -#if CYTHON_COMPILING_IN_PYPY - if (!value) { - Py_INCREF(Py_None); - value = Py_None; - } -#endif - PyErr_NormalizeException(&type, &value, &tb); - } else { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto raise_error; - } - value = type; - #if PY_VERSION_HEX < 0x02050000 - if (PyInstance_Check(type)) { - type = (PyObject*) ((PyInstanceObject*)type)->in_class; - Py_INCREF(type); - } else { - type = 0; - PyErr_SetString(PyExc_TypeError, - "raise: exception must be an old-style class or instance"); - goto raise_error; - } - #else - type = (PyObject*) Py_TYPE(type); - Py_INCREF(type); - if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto raise_error; - } - #endif - } - __Pyx_ErrRestore(type, value, tb); - return; -raise_error: - Py_XDECREF(value); - Py_XDECREF(type); - Py_XDECREF(tb); - return; -} -#else /* Python 3+ */ -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { - PyObject* owned_instance = NULL; - if (tb == Py_None) { - tb = 0; - } else if (tb && !PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto bad; - } - if (value == Py_None) - value = 0; - if (PyExceptionInstance_Check(type)) { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto bad; - } - value = type; - type = (PyObject*) Py_TYPE(value); - } else if (PyExceptionClass_Check(type)) { - PyObject *instance_class = NULL; - if (value && PyExceptionInstance_Check(value)) { - instance_class = (PyObject*) Py_TYPE(value); - if (instance_class != type) { - if (PyObject_IsSubclass(instance_class, type)) { - type = instance_class; - } else { - instance_class = NULL; - } - } - } - if (!instance_class) { - PyObject *args; - if (!value) - args = PyTuple_New(0); - else if (PyTuple_Check(value)) { - Py_INCREF(value); - args = value; - } else - args = PyTuple_Pack(1, value); - if (!args) - goto bad; - owned_instance = PyObject_Call(type, args, NULL); - Py_DECREF(args); - if (!owned_instance) - goto bad; - value = owned_instance; - if (!PyExceptionInstance_Check(value)) { - PyErr_Format(PyExc_TypeError, - "calling %R should have returned an instance of " - "BaseException, not %R", - type, Py_TYPE(value)); - goto bad; - } - } - } else { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto bad; - } -#if PY_VERSION_HEX >= 0x03030000 - if (cause) { -#else - if (cause && cause != Py_None) { -#endif - PyObject *fixed_cause; - if (cause == Py_None) { - fixed_cause = NULL; - } else if (PyExceptionClass_Check(cause)) { - fixed_cause = PyObject_CallObject(cause, NULL); - if (fixed_cause == NULL) - goto bad; - } else if (PyExceptionInstance_Check(cause)) { - fixed_cause = cause; - Py_INCREF(fixed_cause); - } else { - PyErr_SetString(PyExc_TypeError, - "exception causes must derive from " - "BaseException"); - goto bad; - } - PyException_SetCause(value, fixed_cause); - } - PyErr_SetObject(type, value); - if (tb) { - PyThreadState *tstate = PyThreadState_GET(); - PyObject* tmp_tb = tstate->curexc_traceback; - if (tb != tmp_tb) { - Py_INCREF(tb); - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_tb); - } - } -bad: - Py_XDECREF(owned_instance); - return; -} -#endif - -static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { - PyErr_Format(PyExc_ValueError, - "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); -} - -static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { - PyErr_Format(PyExc_ValueError, - "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", - index, (index == 1) ? "" : "s"); -} - -static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { - PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); -} - -static CYTHON_INLINE int __Pyx_IterFinish(void) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - PyObject* exc_type = tstate->curexc_type; - if (unlikely(exc_type)) { - if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) { - PyObject *exc_value, *exc_tb; - exc_value = tstate->curexc_value; - exc_tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; - Py_DECREF(exc_type); - Py_XDECREF(exc_value); - Py_XDECREF(exc_tb); - return 0; - } else { - return -1; - } - } - return 0; -#else - if (unlikely(PyErr_Occurred())) { - if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) { - PyErr_Clear(); - return 0; - } else { - return -1; - } - } - return 0; -#endif -} - -static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) { - if (unlikely(retval)) { - Py_DECREF(retval); - __Pyx_RaiseTooManyValuesError(expected); - return -1; - } else { - return __Pyx_IterFinish(); - } - return 0; -} - -static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (likely(PyObject_TypeCheck(obj, type))) - return 1; - PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s", - Py_TYPE(obj)->tp_name, type->tp_name); - return 0; -} - -#if PY_MAJOR_VERSION < 3 -static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { - #if PY_VERSION_HEX >= 0x02060000 - if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); - #endif - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); - #if PY_VERSION_HEX < 0x02060000 - if (obj->ob_type->tp_dict) { - PyObject *getbuffer_cobj = PyObject_GetItem( - obj->ob_type->tp_dict, __pyx_n_s_pyx_getbuffer); - if (getbuffer_cobj) { - getbufferproc func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj); - Py_DECREF(getbuffer_cobj); - if (!func) - goto fail; - return func(obj, view, flags); - } else { - PyErr_Clear(); - } - } - #endif - PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); -#if PY_VERSION_HEX < 0x02060000 -fail: -#endif - return -1; -} -static void __Pyx_ReleaseBuffer(Py_buffer *view) { - PyObject *obj = view->obj; - if (!obj) return; - #if PY_VERSION_HEX >= 0x02060000 - if (PyObject_CheckBuffer(obj)) { - PyBuffer_Release(view); - return; - } - #endif - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; } - #if PY_VERSION_HEX < 0x02060000 - if (obj->ob_type->tp_dict) { - PyObject *releasebuffer_cobj = PyObject_GetItem( - obj->ob_type->tp_dict, __pyx_n_s_pyx_releasebuffer); - if (releasebuffer_cobj) { - releasebufferproc func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj); - Py_DECREF(releasebuffer_cobj); - if (!func) - goto fail; - func(obj, view); - return; - } else { - PyErr_Clear(); - } - } - #endif - goto nofail; -#if PY_VERSION_HEX < 0x02060000 -fail: -#endif - PyErr_WriteUnraisable(obj); -nofail: - Py_DECREF(obj); - view->obj = NULL; -} -#endif /* PY_MAJOR_VERSION < 3 */ - - - static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { - PyObject *empty_list = 0; - PyObject *module = 0; - PyObject *global_dict = 0; - PyObject *empty_dict = 0; - PyObject *list; - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_import; - py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); - if (!py_import) - goto bad; - #endif - if (from_list) - list = from_list; - else { - empty_list = PyList_New(0); - if (!empty_list) - goto bad; - list = empty_list; - } - global_dict = PyModule_GetDict(__pyx_m); - if (!global_dict) - goto bad; - empty_dict = PyDict_New(); - if (!empty_dict) - goto bad; - #if PY_VERSION_HEX >= 0x02050000 - { - #if PY_MAJOR_VERSION >= 3 - if (level == -1) { - if (strchr(__Pyx_MODULE_NAME, '.')) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(1); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, 1); - #endif - if (!module) { - if (!PyErr_ExceptionMatches(PyExc_ImportError)) - goto bad; - PyErr_Clear(); - } - } - level = 0; /* try absolute import on failure */ - } - #endif - if (!module) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(level); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, level); - #endif - } - } - #else - if (level>0) { - PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4."); - goto bad; - } - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, NULL); - #endif -bad: - #if PY_VERSION_HEX < 0x03030000 - Py_XDECREF(py_import); - #endif - Py_XDECREF(empty_list); - Py_XDECREF(empty_dict); - return module; -} - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return ::std::complex< float >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return x + y*(__pyx_t_float_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - __pyx_t_float_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrtf(z.real*z.real + z.imag*z.imag); - #else - return hypotf(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - float denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(a, a); - case 3: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, a); - case 4: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_absf(a); - theta = atan2f(a.imag, a.real); - } - lnr = logf(r); - z_r = expf(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cosf(z_theta); - z.imag = z_r * sinf(z_theta); - return z; - } - #endif -#endif - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return ::std::complex< double >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return x + y*(__pyx_t_double_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - __pyx_t_double_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrt(z.real*z.real + z.imag*z.imag); - #else - return hypot(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - double denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(a, a); - case 3: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, a); - case 4: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_abs(a); - theta = atan2(a.imag, a.real); - } - lnr = log(r); - z_r = exp(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cos(z_theta); - z.imag = z_r * sin(z_theta); - return z; - } - #endif -#endif - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(unsigned long)) { - return PyInt_FromLong(value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong(value); - } else if (sizeof(int) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong(value); - } - } else { - if (sizeof(int) <= sizeof(long)) { - return PyInt_FromLong(value); - } else if (sizeof(int) <= sizeof(long long)) { - return PyLong_FromLongLong(value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(int), - little, !is_unsigned); - } -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func) \ - { \ - func_type value = func(x); \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - PyErr_SetString(PyExc_OverflowError, \ - (is_unsigned && unlikely(value < zero)) ? \ - "can't convert negative value to " #target_type : \ - "value too large to convert to " #target_type); \ - return (target_type) -1; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(int)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return (int) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; - } - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong) - } else if (sizeof(int) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(int)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return +(int) ((PyLongObject*)x)->ob_digit[0]; - case -1: return -(int) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong) - } else if (sizeof(int) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(unsigned long)) { - return PyInt_FromLong(value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong(value); - } else if (sizeof(long) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong(value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong(value); - } else if (sizeof(long) <= sizeof(long long)) { - return PyLong_FromLongLong(value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(long)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return (long) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; - } - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong) - } else if (sizeof(long) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(long)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return +(long) ((PyLongObject*)x)->ob_digit[0]; - case -1: return -(long) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong) - } else if (sizeof(long) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - #if PY_VERSION_HEX < 0x02050000 - return PyErr_Warn(NULL, message); - #else - return PyErr_WarnEx(NULL, message, 1); - #endif - } - return 0; -} - -#ifndef __PYX_HAVE_RT_ImportModule -#define __PYX_HAVE_RT_ImportModule -static PyObject *__Pyx_ImportModule(const char *name) { - PyObject *py_name = 0; - PyObject *py_module = 0; - py_name = __Pyx_PyIdentifier_FromString(name); - if (!py_name) - goto bad; - py_module = PyImport_Import(py_name); - Py_DECREF(py_name); - return py_module; -bad: - Py_XDECREF(py_name); - return 0; -} -#endif - -#ifndef __PYX_HAVE_RT_ImportType -#define __PYX_HAVE_RT_ImportType -static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, - size_t size, int strict) -{ - PyObject *py_module = 0; - PyObject *result = 0; - PyObject *py_name = 0; - char warning[200]; - Py_ssize_t basicsize; -#ifdef Py_LIMITED_API - PyObject *py_basicsize; -#endif - py_module = __Pyx_ImportModule(module_name); - if (!py_module) - goto bad; - py_name = __Pyx_PyIdentifier_FromString(class_name); - if (!py_name) - goto bad; - result = PyObject_GetAttr(py_module, py_name); - Py_DECREF(py_name); - py_name = 0; - Py_DECREF(py_module); - py_module = 0; - if (!result) - goto bad; - if (!PyType_Check(result)) { - PyErr_Format(PyExc_TypeError, - "%.200s.%.200s is not a type object", - module_name, class_name); - goto bad; - } -#ifndef Py_LIMITED_API - basicsize = ((PyTypeObject *)result)->tp_basicsize; -#else - py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); - if (!py_basicsize) - goto bad; - basicsize = PyLong_AsSsize_t(py_basicsize); - Py_DECREF(py_basicsize); - py_basicsize = 0; - if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) - goto bad; -#endif - if (!strict && (size_t)basicsize > size) { - PyOS_snprintf(warning, sizeof(warning), - "%s.%s size changed, may indicate binary incompatibility", - module_name, class_name); - #if PY_VERSION_HEX < 0x02050000 - if (PyErr_Warn(NULL, warning) < 0) goto bad; - #else - if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad; - #endif - } - else if ((size_t)basicsize != size) { - PyErr_Format(PyExc_ValueError, - "%.200s.%.200s has the wrong size, try recompiling", - module_name, class_name); - goto bad; - } - return (PyTypeObject *)result; -bad: - Py_XDECREF(py_module); - Py_XDECREF(result); - return NULL; -} -#endif - -static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { - int start = 0, mid = 0, end = count - 1; - if (end >= 0 && code_line > entries[end].code_line) { - return count; - } - while (start < end) { - mid = (start + end) / 2; - if (code_line < entries[mid].code_line) { - end = mid; - } else if (code_line > entries[mid].code_line) { - start = mid + 1; - } else { - return mid; - } - } - if (code_line <= entries[mid].code_line) { - return mid; - } else { - return mid + 1; - } -} -static PyCodeObject *__pyx_find_code_object(int code_line) { - PyCodeObject* code_object; - int pos; - if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { - return NULL; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { - return NULL; - } - code_object = __pyx_code_cache.entries[pos].code_object; - Py_INCREF(code_object); - return code_object; -} -static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { - int pos, i; - __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; - if (unlikely(!code_line)) { - return; - } - if (unlikely(!entries)) { - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); - if (likely(entries)) { - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = 64; - __pyx_code_cache.count = 1; - entries[0].code_line = code_line; - entries[0].code_object = code_object; - Py_INCREF(code_object); - } - return; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { - PyCodeObject* tmp = entries[pos].code_object; - entries[pos].code_object = code_object; - Py_DECREF(tmp); - return; - } - if (__pyx_code_cache.count == __pyx_code_cache.max_count) { - int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #else - py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #endif - } - else { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromString(funcname); - #else - py_funcname = PyUnicode_FromString(funcname); - #endif - } - if (!py_funcname) goto bad; - py_code = __Pyx_PyCode_New( - 0, /*int argcount,*/ - 0, /*int kwonlyargcount,*/ - 0, /*int nlocals,*/ - 0, /*int stacksize,*/ - 0, /*int flags,*/ - __pyx_empty_bytes, /*PyObject *code,*/ - __pyx_empty_tuple, /*PyObject *consts,*/ - __pyx_empty_tuple, /*PyObject *names,*/ - __pyx_empty_tuple, /*PyObject *varnames,*/ - __pyx_empty_tuple, /*PyObject *freevars,*/ - __pyx_empty_tuple, /*PyObject *cellvars,*/ - py_srcfile, /*PyObject *filename,*/ - py_funcname, /*PyObject *name,*/ - py_line, /*int firstlineno,*/ - __pyx_empty_bytes /*PyObject *lnotab*/ - ); - Py_DECREF(py_srcfile); - Py_DECREF(py_funcname); - return py_code; -bad: - Py_XDECREF(py_srcfile); - Py_XDECREF(py_funcname); - return NULL; -} -static void __Pyx_AddTraceback(const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_globals = 0; - PyFrameObject *py_frame = 0; - py_code = __pyx_find_code_object(c_line ? c_line : py_line); - if (!py_code) { - py_code = __Pyx_CreateCodeObjectForTraceback( - funcname, c_line, py_line, filename); - if (!py_code) goto bad; - __pyx_insert_code_object(c_line ? c_line : py_line, py_code); - } - py_globals = PyModule_GetDict(__pyx_m); - if (!py_globals) goto bad; - py_frame = PyFrame_New( - PyThreadState_GET(), /*PyThreadState *tstate,*/ - py_code, /*PyCodeObject *code,*/ - py_globals, /*PyObject *globals,*/ - 0 /*PyObject *locals*/ - ); - if (!py_frame) goto bad; - py_frame->f_lineno = py_line; - PyTraceBack_Here(py_frame); -bad: - Py_XDECREF(py_code); - Py_XDECREF(py_frame); -} - -static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) { - while (t->p) { - #if PY_MAJOR_VERSION < 3 - if (t->is_unicode) { - *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); - } else if (t->intern) { - *t->p = PyString_InternFromString(t->s); - } else { - *t->p = PyString_FromStringAndSize(t->s, t->n - 1); - } - #else /* Python 3+ has unicode identifiers */ - if (t->is_unicode | t->is_str) { - if (t->intern) { - *t->p = PyUnicode_InternFromString(t->s); - } else if (t->encoding) { - *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); - } else { - *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); - } - } else { - *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); - } - #endif - if (!*t->p) - return -1; - ++t; - } - return 0; -} - -static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char* c_str) { - return __Pyx_PyUnicode_FromStringAndSize(c_str, strlen(c_str)); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) { - Py_ssize_t ignore; - return __Pyx_PyObject_AsStringAndSize(o, &ignore); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT - if ( -#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - __Pyx_sys_getdefaultencoding_not_ascii && -#endif - PyUnicode_Check(o)) { -#if PY_VERSION_HEX < 0x03030000 - char* defenc_c; - PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL); - if (!defenc) return NULL; - defenc_c = PyBytes_AS_STRING(defenc); -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - { - char* end = defenc_c + PyBytes_GET_SIZE(defenc); - char* c; - for (c = defenc_c; c < end; c++) { - if ((unsigned char) (*c) >= 128) { - PyUnicode_AsASCIIString(o); - return NULL; - } - } - } -#endif /*__PYX_DEFAULT_STRING_ENCODING_IS_ASCII*/ - *length = PyBytes_GET_SIZE(defenc); - return defenc_c; -#else /* PY_VERSION_HEX < 0x03030000 */ - if (PyUnicode_READY(o) == -1) return NULL; -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - if (PyUnicode_IS_ASCII(o)) { - *length = PyUnicode_GET_DATA_SIZE(o); - return PyUnicode_AsUTF8(o); - } else { - PyUnicode_AsASCIIString(o); - return NULL; - } -#else /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */ - return PyUnicode_AsUTF8AndSize(o, length); -#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */ -#endif /* PY_VERSION_HEX < 0x03030000 */ - } else -#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT */ -#if PY_VERSION_HEX >= 0x02060000 - if (PyByteArray_Check(o)) { - *length = PyByteArray_GET_SIZE(o); - return PyByteArray_AS_STRING(o); - } else -#endif - { - char* result; - int r = PyBytes_AsStringAndSize(o, &result, length); - if (unlikely(r < 0)) { - return NULL; - } else { - return result; - } - } -} -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { - int is_true = x == Py_True; - if (is_true | (x == Py_False) | (x == Py_None)) return is_true; - else return PyObject_IsTrue(x); -} -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) { - PyNumberMethods *m; - const char *name = NULL; - PyObject *res = NULL; -#if PY_MAJOR_VERSION < 3 - if (PyInt_Check(x) || PyLong_Check(x)) -#else - if (PyLong_Check(x)) -#endif - return Py_INCREF(x), x; - m = Py_TYPE(x)->tp_as_number; -#if PY_MAJOR_VERSION < 3 - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Int(x); - } - else if (m && m->nb_long) { - name = "long"; - res = PyNumber_Long(x); - } -#else - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Long(x); - } -#endif - if (res) { -#if PY_MAJOR_VERSION < 3 - if (!PyInt_Check(res) && !PyLong_Check(res)) { -#else - if (!PyLong_Check(res)) { -#endif - PyErr_Format(PyExc_TypeError, - "__%.4s__ returned non-%.4s (type %.200s)", - name, name, Py_TYPE(res)->tp_name); - Py_DECREF(res); - return NULL; - } - } - else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_TypeError, - "an integer is required"); - } - return res; -} -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { - Py_ssize_t ival; - PyObject *x; - if (likely(PyInt_CheckExact(b))) - return PyInt_AsSsize_t(b); - x = PyNumber_Index(b); - if (!x) return -1; - ival = PyInt_AsSsize_t(x); - Py_DECREF(x); - return ival; -} -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { -#if PY_VERSION_HEX < 0x02050000 - if (ival <= LONG_MAX) - return PyInt_FromLong((long)ival); - else { - unsigned char *bytes = (unsigned char *) &ival; - int one = 1; int little = (int)*(unsigned char*)&one; - return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0); - } -#else - return PyInt_FromSize_t(ival); -#endif -} - - -#endif /* Py_PYTHON_H */ diff --git a/develop/_Accelerators/CrayWorkshop/f_apply.so b/develop/_Accelerators/CrayWorkshop/f_apply.so deleted file mode 100755 index c6a7c3a..0000000 Binary files a/develop/_Accelerators/CrayWorkshop/f_apply.so and /dev/null differ diff --git a/develop/_Accelerators/CrayWorkshop/mp_func.c b/develop/_Accelerators/CrayWorkshop/mp_func.c deleted file mode 100755 index d483d04..0000000 --- a/develop/_Accelerators/CrayWorkshop/mp_func.c +++ /dev/null @@ -1,15 +0,0 @@ -#include - -void mp_func(double *H, const int *f, int n, int k) -{ - int i, j, ofc; - #pragma omp parallel for private(i, j, ofc) - for (i=0; i - -void nl_func(double *H, const int *f, int n, int k); \ No newline at end of file diff --git a/develop/_Accelerators/CrayWorkshop/my_svd.c b/develop/_Accelerators/CrayWorkshop/my_svd.c deleted file mode 100755 index e232cab..0000000 --- a/develop/_Accelerators/CrayWorkshop/my_svd.c +++ /dev/null @@ -1,137 +0,0 @@ -#include -#include -#include -#include // replace with proper Lapack headers - -void load_file(double *X, int n, int d) -{ - FILE *myfile; - - myfile = fopen("X.bin","r"); - fread(X, sizeof(double), n*d, myfile); - fclose(myfile); - printf("X: \n"); - /*for (int i=0; i /* For offsetof */ -#ifndef offsetof -#define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) -#endif -#if !defined(WIN32) && !defined(MS_WINDOWS) - #ifndef __stdcall - #define __stdcall - #endif - #ifndef __cdecl - #define __cdecl - #endif - #ifndef __fastcall - #define __fastcall - #endif -#endif -#ifndef DL_IMPORT - #define DL_IMPORT(t) t -#endif -#ifndef DL_EXPORT - #define DL_EXPORT(t) t -#endif -#ifndef PY_LONG_LONG - #define PY_LONG_LONG LONG_LONG -#endif -#ifndef Py_HUGE_VAL - #define Py_HUGE_VAL HUGE_VAL -#endif -#ifdef PYPY_VERSION -#define CYTHON_COMPILING_IN_PYPY 1 -#define CYTHON_COMPILING_IN_CPYTHON 0 -#else -#define CYTHON_COMPILING_IN_PYPY 0 -#define CYTHON_COMPILING_IN_CPYTHON 1 -#endif -#if CYTHON_COMPILING_IN_PYPY -#define Py_OptimizeFlag 0 -#endif -#if PY_VERSION_HEX < 0x02050000 - typedef int Py_ssize_t; - #define PY_SSIZE_T_MAX INT_MAX - #define PY_SSIZE_T_MIN INT_MIN - #define PY_FORMAT_SIZE_T "" - #define CYTHON_FORMAT_SSIZE_T "" - #define PyInt_FromSsize_t(z) PyInt_FromLong(z) - #define PyInt_AsSsize_t(o) __Pyx_PyInt_As_int(o) - #define PyNumber_Index(o) ((PyNumber_Check(o) && !PyFloat_Check(o)) ? PyNumber_Int(o) : \ - (PyErr_Format(PyExc_TypeError, \ - "expected index value, got %.200s", Py_TYPE(o)->tp_name), \ - (PyObject*)0)) - #define __Pyx_PyIndex_Check(o) (PyNumber_Check(o) && !PyFloat_Check(o) && \ - !PyComplex_Check(o)) - #define PyIndex_Check __Pyx_PyIndex_Check - #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message) - #define __PYX_BUILD_PY_SSIZE_T "i" -#else - #define __PYX_BUILD_PY_SSIZE_T "n" - #define CYTHON_FORMAT_SSIZE_T "z" - #define __Pyx_PyIndex_Check PyIndex_Check -#endif -#if PY_VERSION_HEX < 0x02060000 - #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt) - #define Py_TYPE(ob) (((PyObject*)(ob))->ob_type) - #define Py_SIZE(ob) (((PyVarObject*)(ob))->ob_size) - #define PyVarObject_HEAD_INIT(type, size) \ - PyObject_HEAD_INIT(type) size, - #define PyType_Modified(t) - typedef struct { - void *buf; - PyObject *obj; - Py_ssize_t len; - Py_ssize_t itemsize; - int readonly; - int ndim; - char *format; - Py_ssize_t *shape; - Py_ssize_t *strides; - Py_ssize_t *suboffsets; - void *internal; - } Py_buffer; - #define PyBUF_SIMPLE 0 - #define PyBUF_WRITABLE 0x0001 - #define PyBUF_FORMAT 0x0004 - #define PyBUF_ND 0x0008 - #define PyBUF_STRIDES (0x0010 | PyBUF_ND) - #define PyBUF_C_CONTIGUOUS (0x0020 | PyBUF_STRIDES) - #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES) - #define PyBUF_ANY_CONTIGUOUS (0x0080 | PyBUF_STRIDES) - #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES) - #define PyBUF_RECORDS (PyBUF_STRIDES | PyBUF_FORMAT | PyBUF_WRITABLE) - #define PyBUF_FULL (PyBUF_INDIRECT | PyBUF_FORMAT | PyBUF_WRITABLE) - typedef int (*getbufferproc)(PyObject *, Py_buffer *, int); - typedef void (*releasebufferproc)(PyObject *, Py_buffer *); -#endif -#if PY_MAJOR_VERSION < 3 - #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) - #define __Pyx_DefaultClassType PyClass_Type -#else - #define __Pyx_BUILTIN_MODULE_NAME "builtins" - #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \ - PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) - #define __Pyx_DefaultClassType PyType_Type -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PyUnicode_FromString(s) PyUnicode_Decode(s, strlen(s), "UTF-8", "strict") -#endif -#if PY_MAJOR_VERSION >= 3 - #define Py_TPFLAGS_CHECKTYPES 0 - #define Py_TPFLAGS_HAVE_INDEX 0 -#endif -#if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3) - #define Py_TPFLAGS_HAVE_NEWBUFFER 0 -#endif -#if PY_VERSION_HEX < 0x02060000 - #define Py_TPFLAGS_HAVE_VERSION_TAG 0 -#endif -#if PY_VERSION_HEX < 0x02060000 && !defined(Py_TPFLAGS_IS_ABSTRACT) - #define Py_TPFLAGS_IS_ABSTRACT 0 -#endif -#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE) - #define Py_TPFLAGS_HAVE_FINALIZE 0 -#endif -#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) - #define CYTHON_PEP393_ENABLED 1 - #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ? \ - 0 : _PyUnicode_Ready((PyObject *)(op))) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) - #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) - #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) - #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) -#else - #define CYTHON_PEP393_ENABLED 0 - #define __Pyx_PyUnicode_READY(op) (0) - #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) - #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) - #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) - #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) - #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) -#endif -#if CYTHON_COMPILING_IN_PYPY - #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) - #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) -#else - #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) - #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \ - PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) -#endif -#define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b)) -#define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) -#if PY_MAJOR_VERSION >= 3 - #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b) -#else - #define __Pyx_PyString_Format(a, b) PyString_Format(a, b) -#endif -#if PY_MAJOR_VERSION >= 3 - #define PyBaseString_Type PyUnicode_Type - #define PyStringObject PyUnicodeObject - #define PyString_Type PyUnicode_Type - #define PyString_Check PyUnicode_Check - #define PyString_CheckExact PyUnicode_CheckExact -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PyBytesObject PyStringObject - #define PyBytes_Type PyString_Type - #define PyBytes_Check PyString_Check - #define PyBytes_CheckExact PyString_CheckExact - #define PyBytes_FromString PyString_FromString - #define PyBytes_FromStringAndSize PyString_FromStringAndSize - #define PyBytes_FromFormat PyString_FromFormat - #define PyBytes_DecodeEscape PyString_DecodeEscape - #define PyBytes_AsString PyString_AsString - #define PyBytes_AsStringAndSize PyString_AsStringAndSize - #define PyBytes_Size PyString_Size - #define PyBytes_AS_STRING PyString_AS_STRING - #define PyBytes_GET_SIZE PyString_GET_SIZE - #define PyBytes_Repr PyString_Repr - #define PyBytes_Concat PyString_Concat - #define PyBytes_ConcatAndDel PyString_ConcatAndDel -#endif -#if PY_MAJOR_VERSION >= 3 - #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) - #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) -#else - #define __Pyx_PyBaseString_Check(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj) || \ - PyString_Check(obj) || PyUnicode_Check(obj)) - #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) -#endif -#if PY_VERSION_HEX < 0x02060000 - #define PySet_Check(obj) PyObject_TypeCheck(obj, &PySet_Type) - #define PyFrozenSet_Check(obj) PyObject_TypeCheck(obj, &PyFrozenSet_Type) -#endif -#ifndef PySet_CheckExact - #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) -#endif -#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) -#if PY_MAJOR_VERSION >= 3 - #define PyIntObject PyLongObject - #define PyInt_Type PyLong_Type - #define PyInt_Check(op) PyLong_Check(op) - #define PyInt_CheckExact(op) PyLong_CheckExact(op) - #define PyInt_FromString PyLong_FromString - #define PyInt_FromUnicode PyLong_FromUnicode - #define PyInt_FromLong PyLong_FromLong - #define PyInt_FromSize_t PyLong_FromSize_t - #define PyInt_FromSsize_t PyLong_FromSsize_t - #define PyInt_AsLong PyLong_AsLong - #define PyInt_AS_LONG PyLong_AS_LONG - #define PyInt_AsSsize_t PyLong_AsSsize_t - #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask - #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask - #define PyNumber_Int PyNumber_Long -#endif -#if PY_MAJOR_VERSION >= 3 - #define PyBoolObject PyLongObject -#endif -#if PY_VERSION_HEX < 0x030200A4 - typedef long Py_hash_t; - #define __Pyx_PyInt_FromHash_t PyInt_FromLong - #define __Pyx_PyInt_AsHash_t PyInt_AsLong -#else - #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t - #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t -#endif -#if (PY_MAJOR_VERSION < 3) || (PY_VERSION_HEX >= 0x03010300) - #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b) - #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value) - #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b) -#else - #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0))) - #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1))) - #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \ - (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \ - (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \ - (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1))) -#endif -#if PY_MAJOR_VERSION >= 3 - #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func)) -#endif -#if PY_VERSION_HEX < 0x02050000 - #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),((char *)(n))) - #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a)) - #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),((char *)(n))) -#else - #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),(n)) - #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a)) - #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),(n)) -#endif -#if PY_VERSION_HEX < 0x02050000 - #define __Pyx_NAMESTR(n) ((char *)(n)) - #define __Pyx_DOCSTR(n) ((char *)(n)) -#else - #define __Pyx_NAMESTR(n) (n) - #define __Pyx_DOCSTR(n) (n) -#endif -#ifndef CYTHON_INLINE - #if defined(__GNUC__) - #define CYTHON_INLINE __inline__ - #elif defined(_MSC_VER) - #define CYTHON_INLINE __inline - #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L - #define CYTHON_INLINE inline - #else - #define CYTHON_INLINE - #endif -#endif -#ifndef CYTHON_RESTRICT - #if defined(__GNUC__) - #define CYTHON_RESTRICT __restrict__ - #elif defined(_MSC_VER) && _MSC_VER >= 1400 - #define CYTHON_RESTRICT __restrict - #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L - #define CYTHON_RESTRICT restrict - #else - #define CYTHON_RESTRICT - #endif -#endif -#ifdef NAN -#define __PYX_NAN() ((float) NAN) -#else -static CYTHON_INLINE float __PYX_NAN() { - /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and - a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is - a quiet NaN. */ - float value; - memset(&value, 0xFF, sizeof(value)); - return value; -} -#endif - - -#if PY_MAJOR_VERSION >= 3 - #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) - #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) -#else - #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) - #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) -#endif - -#ifndef __PYX_EXTERN_C - #ifdef __cplusplus - #define __PYX_EXTERN_C extern "C" - #else - #define __PYX_EXTERN_C extern - #endif -#endif - -#if defined(WIN32) || defined(MS_WINDOWS) -#define _USE_MATH_DEFINES -#endif -#include -#define __PYX_HAVE__f_apply -#define __PYX_HAVE_API__f_apply -#include "string.h" -#include "stdio.h" -#include "stdlib.h" -#include "numpy/arrayobject.h" -#include "numpy/ufuncobject.h" -#ifdef _OPENMP -#include -#endif /* _OPENMP */ - -#ifdef PYREX_WITHOUT_ASSERTIONS -#define CYTHON_WITHOUT_ASSERTIONS -#endif - -#ifndef CYTHON_UNUSED -# if defined(__GNUC__) -# if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) -# define CYTHON_UNUSED __attribute__ ((__unused__)) -# else -# define CYTHON_UNUSED -# endif -# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) -# define CYTHON_UNUSED __attribute__ ((__unused__)) -# else -# define CYTHON_UNUSED -# endif -#endif -typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding; - const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/ - -#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 -#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0 -#define __PYX_DEFAULT_STRING_ENCODING "" -#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString -#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize -#define __Pyx_fits_Py_ssize_t(v, type, is_signed) ( \ - (sizeof(type) < sizeof(Py_ssize_t)) || \ - (sizeof(type) > sizeof(Py_ssize_t) && \ - likely(v < (type)PY_SSIZE_T_MAX || \ - v == (type)PY_SSIZE_T_MAX) && \ - (!is_signed || likely(v > (type)PY_SSIZE_T_MIN || \ - v == (type)PY_SSIZE_T_MIN))) || \ - (sizeof(type) == sizeof(Py_ssize_t) && \ - (is_signed || likely(v < (type)PY_SSIZE_T_MAX || \ - v == (type)PY_SSIZE_T_MAX))) ) -static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*); -static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length); -#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) -#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) -#define __Pyx_PyBytes_FromString PyBytes_FromString -#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize -static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char*); -#if PY_MAJOR_VERSION < 3 - #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString - #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize -#else - #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString - #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize -#endif -#define __Pyx_PyObject_AsSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) -#define __Pyx_PyObject_AsUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) -#define __Pyx_PyObject_FromUString(s) __Pyx_PyObject_FromString((char*)s) -#define __Pyx_PyBytes_FromUString(s) __Pyx_PyBytes_FromString((char*)s) -#define __Pyx_PyByteArray_FromUString(s) __Pyx_PyByteArray_FromString((char*)s) -#define __Pyx_PyStr_FromUString(s) __Pyx_PyStr_FromString((char*)s) -#define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((char*)s) -#if PY_MAJOR_VERSION < 3 -static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) -{ - const Py_UNICODE *u_end = u; - while (*u_end++) ; - return u_end - u - 1; -} -#else -#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen -#endif -#define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) -#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode -#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode -#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None) -#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False)) -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*); -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x); -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*); -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t); -#if CYTHON_COMPILING_IN_CPYTHON -#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) -#else -#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) -#endif -#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) -#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII -static int __Pyx_sys_getdefaultencoding_not_ascii; -static int __Pyx_init_sys_getdefaultencoding_params(void) { - PyObject* sys = NULL; - PyObject* default_encoding = NULL; - PyObject* ascii_chars_u = NULL; - PyObject* ascii_chars_b = NULL; - sys = PyImport_ImportModule("sys"); - if (sys == NULL) goto bad; - default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); - if (default_encoding == NULL) goto bad; - if (strcmp(PyBytes_AsString(default_encoding), "ascii") == 0) { - __Pyx_sys_getdefaultencoding_not_ascii = 0; - } else { - const char* default_encoding_c = PyBytes_AS_STRING(default_encoding); - char ascii_chars[128]; - int c; - for (c = 0; c < 128; c++) { - ascii_chars[c] = c; - } - __Pyx_sys_getdefaultencoding_not_ascii = 1; - ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL); - if (ascii_chars_u == NULL) goto bad; - ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL); - if (ascii_chars_b == NULL || strncmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) { - PyErr_Format( - PyExc_ValueError, - "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.", - default_encoding_c); - goto bad; - } - } - Py_XDECREF(sys); - Py_XDECREF(default_encoding); - Py_XDECREF(ascii_chars_u); - Py_XDECREF(ascii_chars_b); - return 0; -bad: - Py_XDECREF(sys); - Py_XDECREF(default_encoding); - Py_XDECREF(ascii_chars_u); - Py_XDECREF(ascii_chars_b); - return -1; -} -#endif -#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3 -#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) -#else -#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) -#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT -static char* __PYX_DEFAULT_STRING_ENCODING; -static int __Pyx_init_sys_getdefaultencoding_params(void) { - PyObject* sys = NULL; - PyObject* default_encoding = NULL; - char* default_encoding_c; - sys = PyImport_ImportModule("sys"); - if (sys == NULL) goto bad; - default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); - if (default_encoding == NULL) goto bad; - default_encoding_c = PyBytes_AS_STRING(default_encoding); - __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c)); - strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c); - Py_DECREF(sys); - Py_DECREF(default_encoding); - return 0; -bad: - Py_XDECREF(sys); - Py_XDECREF(default_encoding); - return -1; -} -#endif -#endif - - -#ifdef __GNUC__ - /* Test for GCC > 2.95 */ - #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)) - #define likely(x) __builtin_expect(!!(x), 1) - #define unlikely(x) __builtin_expect(!!(x), 0) - #else /* __GNUC__ > 2 ... */ - #define likely(x) (x) - #define unlikely(x) (x) - #endif /* __GNUC__ > 2 ... */ -#else /* __GNUC__ */ - #define likely(x) (x) - #define unlikely(x) (x) -#endif /* __GNUC__ */ - -static PyObject *__pyx_m; 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- -/* "/Users/akusoka1/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":724 - * - * ctypedef npy_int8 int8_t - * ctypedef npy_int16 int16_t # <<<<<<<<<<<<<< - * ctypedef npy_int32 int32_t - * ctypedef npy_int64 int64_t - */ -typedef npy_int16 __pyx_t_5numpy_int16_t; - -/* "/Users/akusoka1/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725 - * ctypedef npy_int8 int8_t - * ctypedef npy_int16 int16_t - * ctypedef npy_int32 int32_t # <<<<<<<<<<<<<< - * ctypedef npy_int64 int64_t - * #ctypedef npy_int96 int96_t - */ -typedef npy_int32 __pyx_t_5numpy_int32_t; - -/* "/Users/akusoka1/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726 - * ctypedef npy_int16 int16_t - * ctypedef npy_int32 int32_t - * ctypedef npy_int64 int64_t # <<<<<<<<<<<<<< - * #ctypedef npy_int96 int96_t - * #ctypedef npy_int128 int128_t - */ -typedef npy_int64 __pyx_t_5numpy_int64_t; - -/* "/Users/akusoka1/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":730 - * #ctypedef npy_int128 int128_t - * - * ctypedef npy_uint8 uint8_t # <<<<<<<<<<<<<< - * ctypedef npy_uint16 uint16_t - * ctypedef npy_uint32 uint32_t - */ -typedef npy_uint8 __pyx_t_5numpy_uint8_t; 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__pyx_t_1 = 0; - - /* "f_apply.pyx":1 - * # -*- coding: utf-8 -*- # <<<<<<<<<<<<<< - * """ - * Created on Wed Nov 27 14:07:48 2013 - */ - __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;} - __Pyx_GOTREF(__pyx_t_1); - if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;} - __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; - - /* "/Users/akusoka1/anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":976 - * arr.base = baseptr - * - * cdef inline object get_array_base(ndarray arr): # <<<<<<<<<<<<<< - * if arr.base is NULL: - * return None - */ - goto __pyx_L0; - __pyx_L1_error:; - __Pyx_XDECREF(__pyx_t_1); - if (__pyx_m) { - __Pyx_AddTraceback("init f_apply", __pyx_clineno, __pyx_lineno, __pyx_filename); - Py_DECREF(__pyx_m); __pyx_m = 0; - } else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_ImportError, "init f_apply"); 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"" : "s", num_found); -} - -static void __Pyx_RaiseDoubleKeywordsError( - const char* func_name, - PyObject* kw_name) -{ - PyErr_Format(PyExc_TypeError, - #if PY_MAJOR_VERSION >= 3 - "%s() got multiple values for keyword argument '%U'", func_name, kw_name); - #else - "%s() got multiple values for keyword argument '%s'", func_name, - PyString_AsString(kw_name)); - #endif -} - -static int __Pyx_ParseOptionalKeywords( - PyObject *kwds, - PyObject **argnames[], - PyObject *kwds2, - PyObject *values[], - Py_ssize_t num_pos_args, - const char* function_name) -{ - PyObject *key = 0, *value = 0; - Py_ssize_t pos = 0; - PyObject*** name; - PyObject*** first_kw_arg = argnames + num_pos_args; - while (PyDict_Next(kwds, &pos, &key, &value)) { - name = first_kw_arg; - while (*name && (**name != key)) name++; - if (*name) { - values[name-argnames] = value; - continue; - } - name = first_kw_arg; - #if PY_MAJOR_VERSION < 3 - if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) { - while (*name) { - if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key)) - && _PyString_Eq(**name, key)) { - values[name-argnames] = value; - break; - } - name++; - } - if (*name) continue; - else { - PyObject*** argname = argnames; - while (argname != first_kw_arg) { - if ((**argname == key) || ( - (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key)) - && _PyString_Eq(**argname, key))) { - goto arg_passed_twice; - } - argname++; - } - } - } else - #endif - if (likely(PyUnicode_Check(key))) { - while (*name) { - int cmp = (**name == key) ? 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- if (ctx->fmt_offset != offset) { - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", - (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); - return -1; - } - ctx->fmt_offset += size; - if (arraysize) - ctx->fmt_offset += (arraysize - 1) * size; - --ctx->enc_count; /* Consume from buffer string */ - while (1) { - if (field == &ctx->root) { - ctx->head = NULL; - if (ctx->enc_count != 0) { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - break; /* breaks both loops as ctx->enc_count == 0 */ - } - ctx->head->field = ++field; - if (field->type == NULL) { - --ctx->head; - field = ctx->head->field; - continue; - } else if (field->type->typegroup == 'S') { - size_t parent_offset = ctx->head->parent_offset + field->offset; - if (field->type->fields->type == NULL) continue; /* empty struct */ - field = field->type->fields; - ++ctx->head; - ctx->head->field = field; - ctx->head->parent_offset = parent_offset; - break; - } else { - break; - } - } - } while (ctx->enc_count); - ctx->enc_type = 0; - ctx->is_complex = 0; - return 0; -} -static CYTHON_INLINE PyObject * -__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) -{ - const char *ts = *tsp; - int i = 0, number; - int ndim = ctx->head->field->type->ndim; -; - ++ts; - if (ctx->new_count != 1) { - PyErr_SetString(PyExc_ValueError, - "Cannot handle repeated arrays in format string"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - while (*ts && *ts != ')') { - switch (*ts) { - case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; - default: break; /* not a 'break' in the loop */ - } - number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) - return PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %d", - ctx->head->field->type->arraysize[i], number); - if (*ts != ',' && *ts != ')') - return PyErr_Format(PyExc_ValueError, - "Expected a comma in format string, got '%c'", *ts); - if (*ts == ',') ts++; - i++; - } - if (i != ndim) - return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", - ctx->head->field->type->ndim, i); - if (!*ts) { - PyErr_SetString(PyExc_ValueError, - "Unexpected end of format string, expected ')'"); - return NULL; - } - ctx->is_valid_array = 1; - ctx->new_count = 1; - *tsp = ++ts; - return Py_None; -} -static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { - int got_Z = 0; - while (1) { - switch(*ts) { - case 0: - if (ctx->enc_type != 0 && ctx->head == NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - if (ctx->head != NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - return ts; - case ' ': - case 10: - case 13: - ++ts; - break; - case '<': - if (!__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '>': - case '!': - if (__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '=': - case '@': - case '^': - ctx->new_packmode = *ts++; - break; - case 'T': /* substruct */ - { - const char* ts_after_sub; - size_t i, struct_count = ctx->new_count; - size_t struct_alignment = ctx->struct_alignment; - ctx->new_count = 1; - ++ts; - if (*ts != '{') { - PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; /* Erase processed last struct element */ - ctx->enc_count = 0; - ctx->struct_alignment = 0; - ++ts; - ts_after_sub = ts; - for (i = 0; i != struct_count; ++i) { - ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); - if (!ts_after_sub) return NULL; - } - ts = ts_after_sub; - if (struct_alignment) ctx->struct_alignment = struct_alignment; - } - break; - case '}': /* end of substruct; either repeat or move on */ - { - size_t alignment = ctx->struct_alignment; - ++ts; - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; /* Erase processed last struct element */ - if (alignment && ctx->fmt_offset % alignment) { - ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); - } - } - return ts; - case 'x': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->fmt_offset += ctx->new_count; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->enc_packmode = ctx->new_packmode; - ++ts; - break; - case 'Z': - got_Z = 1; - ++ts; - if (*ts != 'f' && *ts != 'd' && *ts != 'g') { - __Pyx_BufFmt_RaiseUnexpectedChar('Z'); - return NULL; - } /* fall through */ - case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': - case 'l': case 'L': case 'q': case 'Q': - case 'f': case 'd': case 'g': - case 'O': case 's': case 'p': - if (ctx->enc_type == *ts && got_Z == ctx->is_complex && - ctx->enc_packmode == ctx->new_packmode) { - ctx->enc_count += ctx->new_count; - } else { - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_count = ctx->new_count; - ctx->enc_packmode = ctx->new_packmode; - ctx->enc_type = *ts; - ctx->is_complex = got_Z; - } - ++ts; - ctx->new_count = 1; - got_Z = 0; - break; - case ':': - ++ts; - while(*ts != ':') ++ts; - ++ts; - break; - case '(': - if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; - break; - default: - { - int number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - ctx->new_count = (size_t)number; - } - } - } -} -static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { - buf->buf = NULL; - buf->obj = NULL; - buf->strides = __Pyx_zeros; - buf->shape = __Pyx_zeros; - buf->suboffsets = __Pyx_minusones; -} -static CYTHON_INLINE int __Pyx_GetBufferAndValidate( - Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, - int nd, int cast, __Pyx_BufFmt_StackElem* stack) -{ - if (obj == Py_None || obj == NULL) { - __Pyx_ZeroBuffer(buf); - return 0; - } - buf->buf = NULL; - if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; - if (buf->ndim != nd) { - PyErr_Format(PyExc_ValueError, - "Buffer has wrong number of dimensions (expected %d, got %d)", - nd, buf->ndim); - goto fail; - } - if (!cast) { - __Pyx_BufFmt_Context ctx; - __Pyx_BufFmt_Init(&ctx, stack, dtype); - if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; - } - if ((unsigned)buf->itemsize != dtype->size) { - PyErr_Format(PyExc_ValueError, - "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", - buf->itemsize, (buf->itemsize > 1) ? "s" : "", - dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); - goto fail; - } - if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; - return 0; -fail:; - __Pyx_ZeroBuffer(buf); - return -1; -} -static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { - if (info->buf == NULL) return; - if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; - __Pyx_ReleaseBuffer(info); -} - -static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyThreadState *tstate = PyThreadState_GET(); - tmp_type = tstate->curexc_type; - tmp_value = tstate->curexc_value; - tmp_tb = tstate->curexc_traceback; - tstate->curexc_type = type; - tstate->curexc_value = value; - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_type); - Py_XDECREF(tmp_value); - Py_XDECREF(tmp_tb); -#else - PyErr_Restore(type, value, tb); -#endif -} -static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - *type = tstate->curexc_type; - *value = tstate->curexc_value; - *tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; -#else - PyErr_Fetch(type, value, tb); -#endif -} - -static PyObject *__Pyx_GetBuiltinName(PyObject *name) { - PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name); - if (unlikely(!result)) { - PyErr_Format(PyExc_NameError, -#if PY_MAJOR_VERSION >= 3 - "name '%U' is not defined", name); -#else - "name '%.200s' is not defined", PyString_AS_STRING(name)); -#endif - } - return result; -} - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) { - PyObject *result; - ternaryfunc call = func->ob_type->tp_call; - if (unlikely(!call)) - return PyObject_Call(func, arg, kw); -#if PY_VERSION_HEX >= 0x02060000 - if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) - return NULL; -#endif - result = (*call)(func, arg, kw); -#if PY_VERSION_HEX >= 0x02060000 - Py_LeaveRecursiveCall(); -#endif - if (unlikely(!result) && unlikely(!PyErr_Occurred())) { - PyErr_SetString( - PyExc_SystemError, - "NULL result without error in PyObject_Call"); - } - return result; -} -#endif - -#if PY_MAJOR_VERSION < 3 -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, - CYTHON_UNUSED PyObject *cause) { - Py_XINCREF(type); - if (!value || value == Py_None) - value = NULL; - else - Py_INCREF(value); - if (!tb || tb == Py_None) - tb = NULL; - else { - Py_INCREF(tb); - if (!PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto raise_error; - } - } - #if PY_VERSION_HEX < 0x02050000 - if (PyClass_Check(type)) { - #else - if (PyType_Check(type)) { - #endif -#if CYTHON_COMPILING_IN_PYPY - if (!value) { - Py_INCREF(Py_None); - value = Py_None; - } -#endif - PyErr_NormalizeException(&type, &value, &tb); - } else { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto raise_error; - } - value = type; - #if PY_VERSION_HEX < 0x02050000 - if (PyInstance_Check(type)) { - type = (PyObject*) ((PyInstanceObject*)type)->in_class; - Py_INCREF(type); - } else { - type = 0; - PyErr_SetString(PyExc_TypeError, - "raise: exception must be an old-style class or instance"); - goto raise_error; - } - #else - type = (PyObject*) Py_TYPE(type); - Py_INCREF(type); - if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto raise_error; - } - #endif - } - __Pyx_ErrRestore(type, value, tb); - return; -raise_error: - Py_XDECREF(value); - Py_XDECREF(type); - Py_XDECREF(tb); - return; -} -#else /* Python 3+ */ -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { - PyObject* owned_instance = NULL; - if (tb == Py_None) { - tb = 0; - } else if (tb && !PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto bad; - } - if (value == Py_None) - value = 0; - if (PyExceptionInstance_Check(type)) { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto bad; - } - value = type; - type = (PyObject*) Py_TYPE(value); - } else if (PyExceptionClass_Check(type)) { - PyObject *instance_class = NULL; - if (value && PyExceptionInstance_Check(value)) { - instance_class = (PyObject*) Py_TYPE(value); - if (instance_class != type) { - if (PyObject_IsSubclass(instance_class, type)) { - type = instance_class; - } else { - instance_class = NULL; - } - } - } - if (!instance_class) { - PyObject *args; - if (!value) - args = PyTuple_New(0); - else if (PyTuple_Check(value)) { - Py_INCREF(value); - args = value; - } else - args = PyTuple_Pack(1, value); - if (!args) - goto bad; - owned_instance = PyObject_Call(type, args, NULL); - Py_DECREF(args); - if (!owned_instance) - goto bad; - value = owned_instance; - if (!PyExceptionInstance_Check(value)) { - PyErr_Format(PyExc_TypeError, - "calling %R should have returned an instance of " - "BaseException, not %R", - type, Py_TYPE(value)); - goto bad; - } - } - } else { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto bad; - } -#if PY_VERSION_HEX >= 0x03030000 - if (cause) { -#else - if (cause && cause != Py_None) { -#endif - PyObject *fixed_cause; - if (cause == Py_None) { - fixed_cause = NULL; - } else if (PyExceptionClass_Check(cause)) { - fixed_cause = PyObject_CallObject(cause, NULL); - if (fixed_cause == NULL) - goto bad; - } else if (PyExceptionInstance_Check(cause)) { - fixed_cause = cause; - Py_INCREF(fixed_cause); - } else { - PyErr_SetString(PyExc_TypeError, - "exception causes must derive from " - "BaseException"); - goto bad; - } - PyException_SetCause(value, fixed_cause); - } - PyErr_SetObject(type, value); - if (tb) { - PyThreadState *tstate = PyThreadState_GET(); - PyObject* tmp_tb = tstate->curexc_traceback; - if (tb != tmp_tb) { - Py_INCREF(tb); - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_tb); - } - } -bad: - Py_XDECREF(owned_instance); - return; -} -#endif - -static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { - PyErr_Format(PyExc_ValueError, - "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); -} - -static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { - PyErr_Format(PyExc_ValueError, - "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", - index, (index == 1) ? "" : "s"); -} - -static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { - PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); -} - -static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (likely(PyObject_TypeCheck(obj, type))) - return 1; - PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s", - Py_TYPE(obj)->tp_name, type->tp_name); - return 0; -} - -#if PY_MAJOR_VERSION < 3 -static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { - #if PY_VERSION_HEX >= 0x02060000 - if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); - #endif - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); - #if PY_VERSION_HEX < 0x02060000 - if (obj->ob_type->tp_dict) { - PyObject *getbuffer_cobj = PyObject_GetItem( - obj->ob_type->tp_dict, __pyx_n_s_pyx_getbuffer); - if (getbuffer_cobj) { - getbufferproc func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj); - Py_DECREF(getbuffer_cobj); - if (!func) - goto fail; - return func(obj, view, flags); - } else { - PyErr_Clear(); - } - } - #endif - PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); -#if PY_VERSION_HEX < 0x02060000 -fail: -#endif - return -1; -} -static void __Pyx_ReleaseBuffer(Py_buffer *view) { - PyObject *obj = view->obj; - if (!obj) return; - #if PY_VERSION_HEX >= 0x02060000 - if (PyObject_CheckBuffer(obj)) { - PyBuffer_Release(view); - return; - } - #endif - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; } - #if PY_VERSION_HEX < 0x02060000 - if (obj->ob_type->tp_dict) { - PyObject *releasebuffer_cobj = PyObject_GetItem( - obj->ob_type->tp_dict, __pyx_n_s_pyx_releasebuffer); - if (releasebuffer_cobj) { - releasebufferproc func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj); - Py_DECREF(releasebuffer_cobj); - if (!func) - goto fail; - func(obj, view); - return; - } else { - PyErr_Clear(); - } - } - #endif - goto nofail; -#if PY_VERSION_HEX < 0x02060000 -fail: -#endif - PyErr_WriteUnraisable(obj); -nofail: - Py_DECREF(obj); - view->obj = NULL; -} -#endif /* PY_MAJOR_VERSION < 3 */ - - - static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { - PyObject *empty_list = 0; - PyObject *module = 0; - PyObject *global_dict = 0; - PyObject *empty_dict = 0; - PyObject *list; - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_import; - py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); - if (!py_import) - goto bad; - #endif - if (from_list) - list = from_list; - else { - empty_list = PyList_New(0); - if (!empty_list) - goto bad; - list = empty_list; - } - global_dict = PyModule_GetDict(__pyx_m); - if (!global_dict) - goto bad; - empty_dict = PyDict_New(); - if (!empty_dict) - goto bad; - #if PY_VERSION_HEX >= 0x02050000 - { - #if PY_MAJOR_VERSION >= 3 - if (level == -1) { - if (strchr(__Pyx_MODULE_NAME, '.')) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(1); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, 1); - #endif - if (!module) { - if (!PyErr_ExceptionMatches(PyExc_ImportError)) - goto bad; - PyErr_Clear(); - } - } - level = 0; /* try absolute import on failure */ - } - #endif - if (!module) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(level); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, level); - #endif - } - } - #else - if (level>0) { - PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4."); - goto bad; - } - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, NULL); - #endif -bad: - #if PY_VERSION_HEX < 0x03030000 - Py_XDECREF(py_import); - #endif - Py_XDECREF(empty_list); - Py_XDECREF(empty_dict); - return module; -} - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return ::std::complex< float >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return x + y*(__pyx_t_float_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - __pyx_t_float_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrtf(z.real*z.real + z.imag*z.imag); - #else - return hypotf(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - float denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(a, a); - case 3: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, a); - case 4: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_absf(a); - theta = atan2f(a.imag, a.real); - } - lnr = logf(r); - z_r = expf(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cosf(z_theta); - z.imag = z_r * sinf(z_theta); - return z; - } - #endif -#endif - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return ::std::complex< double >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return x + y*(__pyx_t_double_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - __pyx_t_double_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrt(z.real*z.real + z.imag*z.imag); - #else - return hypot(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - double denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(a, a); - case 3: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, a); - case 4: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_abs(a); - theta = atan2(a.imag, a.real); - } - lnr = log(r); - z_r = exp(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cos(z_theta); - z.imag = z_r * sin(z_theta); - return z; - } - #endif -#endif - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(int) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(int) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(int), - little, !is_unsigned); - } -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func) \ - { \ - func_type value = func(x); \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - PyErr_SetString(PyExc_OverflowError, \ - (is_unsigned && unlikely(value < zero)) ? \ - "can't convert negative value to " #target_type : \ - "value too large to convert to " #target_type); \ - return (target_type) -1; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(int)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return (int) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; - } - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong) - } else if (sizeof(int) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(int)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return +(int) ((PyLongObject*)x)->ob_digit[0]; - case -1: return -(int) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong) - } else if (sizeof(int) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(long) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(long)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return (long) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; - } - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong) - } else if (sizeof(long) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - if (sizeof(digit) <= sizeof(long)) { - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: return +(long) ((PyLongObject*)x)->ob_digit[0]; - case -1: return -(long) ((PyLongObject*)x)->ob_digit[0]; - } - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong) - } else if (sizeof(long) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - #if PY_VERSION_HEX < 0x02050000 - return PyErr_Warn(NULL, message); - #else - return PyErr_WarnEx(NULL, message, 1); - #endif - } - return 0; -} - -#ifndef __PYX_HAVE_RT_ImportModule -#define __PYX_HAVE_RT_ImportModule -static PyObject *__Pyx_ImportModule(const char *name) { - PyObject *py_name = 0; - PyObject *py_module = 0; - py_name = __Pyx_PyIdentifier_FromString(name); - if (!py_name) - goto bad; - py_module = PyImport_Import(py_name); - Py_DECREF(py_name); - return py_module; -bad: - Py_XDECREF(py_name); - return 0; -} -#endif - -#ifndef __PYX_HAVE_RT_ImportType -#define __PYX_HAVE_RT_ImportType -static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, - size_t size, int strict) -{ - PyObject *py_module = 0; - PyObject *result = 0; - PyObject *py_name = 0; - char warning[200]; - Py_ssize_t basicsize; -#ifdef Py_LIMITED_API - PyObject *py_basicsize; -#endif - py_module = __Pyx_ImportModule(module_name); - if (!py_module) - goto bad; - py_name = __Pyx_PyIdentifier_FromString(class_name); - if (!py_name) - goto bad; - result = PyObject_GetAttr(py_module, py_name); - Py_DECREF(py_name); - py_name = 0; - Py_DECREF(py_module); - py_module = 0; - if (!result) - goto bad; - if (!PyType_Check(result)) { - PyErr_Format(PyExc_TypeError, - "%.200s.%.200s is not a type object", - module_name, class_name); - goto bad; - } -#ifndef Py_LIMITED_API - basicsize = ((PyTypeObject *)result)->tp_basicsize; -#else - py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); - if (!py_basicsize) - goto bad; - basicsize = PyLong_AsSsize_t(py_basicsize); - Py_DECREF(py_basicsize); - py_basicsize = 0; - if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) - goto bad; -#endif - if (!strict && (size_t)basicsize > size) { - PyOS_snprintf(warning, sizeof(warning), - "%s.%s size changed, may indicate binary incompatibility", - module_name, class_name); - #if PY_VERSION_HEX < 0x02050000 - if (PyErr_Warn(NULL, warning) < 0) goto bad; - #else - if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad; - #endif - } - else if ((size_t)basicsize != size) { - PyErr_Format(PyExc_ValueError, - "%.200s.%.200s has the wrong size, try recompiling", - module_name, class_name); - goto bad; - } - return (PyTypeObject *)result; -bad: - Py_XDECREF(py_module); - Py_XDECREF(result); - return NULL; -} -#endif - -static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { - int start = 0, mid = 0, end = count - 1; - if (end >= 0 && code_line > entries[end].code_line) { - return count; - } - while (start < end) { - mid = (start + end) / 2; - if (code_line < entries[mid].code_line) { - end = mid; - } else if (code_line > entries[mid].code_line) { - start = mid + 1; - } else { - return mid; - } - } - if (code_line <= entries[mid].code_line) { - return mid; - } else { - return mid + 1; - } -} -static PyCodeObject *__pyx_find_code_object(int code_line) { - PyCodeObject* code_object; - int pos; - if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { - return NULL; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { - return NULL; - } - code_object = __pyx_code_cache.entries[pos].code_object; - Py_INCREF(code_object); - return code_object; -} -static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { - int pos, i; - __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; - if (unlikely(!code_line)) { - return; - } - if (unlikely(!entries)) { - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); - if (likely(entries)) { - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = 64; - __pyx_code_cache.count = 1; - entries[0].code_line = code_line; - entries[0].code_object = code_object; - Py_INCREF(code_object); - } - return; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { - PyCodeObject* tmp = entries[pos].code_object; - entries[pos].code_object = code_object; - Py_DECREF(tmp); - return; - } - if (__pyx_code_cache.count == __pyx_code_cache.max_count) { - int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #else - py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #endif - } - else { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromString(funcname); - #else - py_funcname = PyUnicode_FromString(funcname); - #endif - } - if (!py_funcname) goto bad; - py_code = __Pyx_PyCode_New( - 0, /*int argcount,*/ - 0, /*int kwonlyargcount,*/ - 0, /*int nlocals,*/ - 0, /*int stacksize,*/ - 0, /*int flags,*/ - __pyx_empty_bytes, /*PyObject *code,*/ - __pyx_empty_tuple, /*PyObject *consts,*/ - __pyx_empty_tuple, /*PyObject *names,*/ - __pyx_empty_tuple, /*PyObject *varnames,*/ - __pyx_empty_tuple, /*PyObject *freevars,*/ - __pyx_empty_tuple, /*PyObject *cellvars,*/ - py_srcfile, /*PyObject *filename,*/ - py_funcname, /*PyObject *name,*/ - py_line, /*int firstlineno,*/ - __pyx_empty_bytes /*PyObject *lnotab*/ - ); - Py_DECREF(py_srcfile); - Py_DECREF(py_funcname); - return py_code; -bad: - Py_XDECREF(py_srcfile); - Py_XDECREF(py_funcname); - return NULL; -} -static void __Pyx_AddTraceback(const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; 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- return PyByteArray_AS_STRING(o); - } else -#endif -#endif - { - char* result; - int r = PyBytes_AsStringAndSize(o, &result, length); - if (unlikely(r < 0)) { - return NULL; - } else { - return result; - } - } -} -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { - int is_true = x == Py_True; - if (is_true | (x == Py_False) | (x == Py_None)) return is_true; - else return PyObject_IsTrue(x); -} -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) { - PyNumberMethods *m; - const char *name = NULL; - PyObject *res = NULL; -#if PY_MAJOR_VERSION < 3 - if (PyInt_Check(x) || PyLong_Check(x)) -#else - if (PyLong_Check(x)) -#endif - return Py_INCREF(x), x; - m = Py_TYPE(x)->tp_as_number; -#if PY_MAJOR_VERSION < 3 - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Int(x); - } - else if (m && m->nb_long) { - name = "long"; - res = PyNumber_Long(x); - } -#else - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Long(x); - } -#endif - if (res) { -#if PY_MAJOR_VERSION < 3 - if (!PyInt_Check(res) && !PyLong_Check(res)) { -#else - if (!PyLong_Check(res)) { -#endif - PyErr_Format(PyExc_TypeError, - "__%.4s__ returned non-%.4s (type %.200s)", - name, name, Py_TYPE(res)->tp_name); - Py_DECREF(res); - return NULL; - } - } - else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_TypeError, - "an integer is required"); - } - return res; -} -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { - Py_ssize_t ival; - PyObject *x; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_CheckExact(b))) - return PyInt_AS_LONG(b); -#endif - if (likely(PyLong_CheckExact(b))) { - #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(b)) { - case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0]; - case 0: return 0; - case 1: return ((PyLongObject*)b)->ob_digit[0]; - } - #endif - #endif - #if PY_VERSION_HEX < 0x02060000 - return PyInt_AsSsize_t(b); - #else - return PyLong_AsSsize_t(b); - #endif - } - x = PyNumber_Index(b); - if (!x) return -1; - ival = PyInt_AsSsize_t(x); - Py_DECREF(x); - return ival; -} -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { -#if PY_VERSION_HEX < 0x02050000 - if (ival <= LONG_MAX) - return PyInt_FromLong((long)ival); - else { - unsigned char *bytes = (unsigned char *) &ival; - int one = 1; int little = (int)*(unsigned char*)&one; - return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0); - } -#else - return PyInt_FromSize_t(ival); -#endif -} - - -#endif /* Py_PYTHON_H */ diff --git a/develop/_Cython_func/f_apply.so b/develop/_Cython_func/f_apply.so deleted file mode 100755 index 7fc1fdf..0000000 Binary files a/develop/_Cython_func/f_apply.so and /dev/null differ diff --git a/develop/_Cython_func/mp_func.c b/develop/_Cython_func/mp_func.c deleted file mode 100755 index d483d04..0000000 --- a/develop/_Cython_func/mp_func.c +++ /dev/null @@ -1,15 +0,0 @@ -#include - -void mp_func(double *H, const int *f, int n, int k) -{ - int i, j, ofc; - #pragma omp parallel for private(i, j, ofc) - for (i=0; i - -void nl_func(double *H, const int *f, int n, int k); \ No newline at end of file diff --git a/develop/_Cython_func/setup.py b/develop/_Cython_func/setup.py deleted file mode 100755 index 1240713..0000000 --- a/develop/_Cython_func/setup.py +++ /dev/null @@ -1,21 +0,0 @@ -#!/usr/bin/env python - -from distutils.core import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext - -import numpy - -ext_module = Extension( - "f_apply", - ["f_apply.pyx", "mp_func.c"], - include_dirs=[numpy.get_include()], - extra_compile_args=['-fopenmp'], - extra_link_args=['-fopenmp'], -) - -setup( - name = 'f_apply', - cmdclass = {'build_ext': build_ext}, - ext_modules = [ext_module], -) diff --git a/develop/_Cython_func/test.py b/develop/_Cython_func/test.py deleted file mode 100755 index 36fc279..0000000 --- a/develop/_Cython_func/test.py +++ /dev/null @@ -1,21 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Jan 6 19:05:03 2014 - -@author: akusoka1 -""" - -import numpy as np -from f_apply import f_apply - - -n = 100000 -k = 2000 -H = np.ones((n,k)) -f = np.random.randint(0,2,size=(k,)).astype(np.int32) - - - -f_apply(H,f) -print f -print H[0] \ No newline at end of file diff --git a/develop/_Distributed_HH/test_mpi_HH.py b/develop/_Distributed_HH/test_mpi_HH.py deleted file mode 100755 index e545ebd..0000000 --- a/develop/_Distributed_HH/test_mpi_HH.py +++ /dev/null @@ -1,107 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sun Oct 5 17:21:00 2014 - -@author: akusok -""" - -import numpy as np -from mpi4py import MPI - - -def divide_X(X, size): - n = X.shape[0] - if n%size == 0: - batch = n / size - else: - batch = (n / size) + 1 - - Xd = [] - for i in range(size): - Xd.append(X[batch*i:batch*(i+1)]) - - return Xd - - -comm = MPI.COMM_WORLD -rank = comm.Get_rank() -size = comm.Get_size() - - - -if rank == 0: # master node - # distribute projection matrix - W = np.random.rand(20,100) - W = comm.bcast(W, root=0) - print "%d W: "%rank, W.shape - - - # distribute nonlinear transformation function - F = [] - #F.extend([lambda x:x]*20) - F.extend([np.tanh]*100) - F = comm.bcast(F, root=0) - - - # distribute input data - X_input = np.random.randn(10000,20) - Xd = divide_X(X_input, size) - #del X_input - X = comm.scatter(Xd, root=0) - print "%d X: "%rank, X.shape - - - # do computations - Hp = X.dot(W).astype('d') - H = np.empty(Hp.shape) - for i in range(len(F)): - H[:,i] = F[i](Hp[:,i]) - HpH = Hp.T.dot(Hp) - - - # obtain joined result - HH = np.empty(HpH.shape, dtype='d') - comm.Allreduce([HpH, MPI.DOUBLE], [HH, MPI.DOUBLE], op=MPI.SUM) - - - # check results - H2 = X_input.dot(W) - H2H = H2.T.dot(H2) - print "results are the same: ", np.allclose(HH, H2H) - - print "%d done!" % rank - -else: # worker nodes - # distribute projection matrix - W = comm.bcast(None, root=0) - print "%d W: "%rank, W.shape - - - # distribute nonlinear transformation function - F = comm.bcast(None, root=0) - - - # distribute input data - X = comm.scatter(None, root=0) - print "%d X: "%rank, X.shape - - # do computations - Hp = X.dot(W).astype('d') - HpH = Hp.T.dot(Hp) - - # obtain joined result - HH = np.empty(HpH.shape, dtype='d') - comm.Allreduce([HpH, MPI.DOUBLE], [HH, MPI.DOUBLE], op=MPI.SUM) - - print "%d done!" % rank - - - - - - - - - - - diff --git a/develop/_ELM_JMA/elm-jma.pdf b/develop/_ELM_JMA/elm-jma.pdf deleted file mode 100755 index 2da0498..0000000 Binary files a/develop/_ELM_JMA/elm-jma.pdf and /dev/null differ diff --git a/develop/_ELM_JMA/elm-jma.zip b/develop/_ELM_JMA/elm-jma.zip deleted file mode 100755 index 8ae16a0..0000000 Binary files a/develop/_ELM_JMA/elm-jma.zip and /dev/null differ diff --git a/develop/_ELM_JMA/elm-jma/auxBuildKernelMatrix.m b/develop/_ELM_JMA/elm-jma/auxBuildKernelMatrix.m deleted file mode 100755 index d7cc5df..0000000 --- a/develop/_ELM_JMA/elm-jma/auxBuildKernelMatrix.m +++ /dev/null @@ -1,97 +0,0 @@ -function KM = auxBuildKernelMatrix(x, activationFcns, numHiddenNeurons, rndstream) - [N,d] = size(x); - KM.value = []; - KM.function = []; - KM.param.p1 = []; - KM.param.p2 = []; - - for i = 1:length(activationFcns) - switch lower(activationFcns{i}) - case {'linear', 'l', 'lin'} - KM.value = [KM.value x]; - KM.function = [KM.function repmat({'lin'}, 1, d)]; - KM.param.p1 = [KM.param.p1 zeros(d,d)]; - KM.param.p2 = [KM.param.p2 1:d]; - - case {'sigmoid', 's', 'sig'} - tt = rand(rndstream, d, numHiddenNeurons(i)) * 5 - 2.5; - bb = rand(rndstream, 1, numHiddenNeurons(i)) * 2 - 1; - h = x * tt + ones(N, 1) * bb; - KM.value = [KM.value 1 ./ (1 + exp(-h))]; - KM.function=[KM.function repmat({'sig'}, 1, numHiddenNeurons(i))]; - KM.param.p1=[KM.param.p1 tt]; - KM.param.p2=[KM.param.p2 bb]; - - case {'tanh', 't'} - tt = rand(rndstream, d, numHiddenNeurons(i)) * 5 - 2.5; - bb = rand(rndstream, 1, numHiddenNeurons(i)) * 2 - 1; - - h = x * tt + ones(N, 1) * bb; - KM.value = [KM.value tanh(h)]; - KM.function=[KM.function repmat({'tanh'}, 1, numHiddenNeurons(i))]; - KM.param.p1=[KM.param.p1 tt]; - KM.param.p2=[KM.param.p2 bb]; - - case {'sin', 'sine'} - tt = rand(rndstream, d, numHiddenNeurons(i)) * 5 - 2.5; - bb = rand(rndstream, 1, numHiddenNeurons(i)) * 2 - 1; - h = x * tt + ones(N, 1) * bb; - KM.value = [KM.value sin(h)]; - KM.function = [KM.function repmat({'sine'}, 1, numHiddenNeurons(i))]; - KM.param.p1=[KM.param.p1 tt]; - KM.param.p2=[KM.param.p2 bb]; - - case {'rbf'} - mm = minmax(x'); - W1 = zeros(numHiddenNeurons(i), d); - for j = 1:numHiddenNeurons(i) - W1(j,:) = transpose(rand(1, d)) .* (mm(:,2) - mm(:,1)) + mm(:,1); - end - if (N > 2000) - Y = pdist(x(randperm(rndstream, 2000),:)); - else - Y = pdist(x); - end - a20 = prctile(Y, 20); - a60 = prctile(Y, 60); - W10 = rand(rndstream, 1, numHiddenNeurons(i)) * (a60-a20) + a20; - vi = zeros(N, numHiddenNeurons(i)); - for j = 1:numHiddenNeurons(i) - vi(:,j) = auxGaussianFcn(x, W1(j,:), W10(j)); - end - KM.value = [KM.value vi]; - KM.function = [KM.function repmat({'rbf'}, 1, numHiddenNeurons(i))]; - KM.param.p1 = [KM.param.p1 W1']; - KM.param.p2 = [KM.param.p2 W10]; - clear a20 a60 W1 W10 Y vi mm - - case {'gauss', 'g', 'gaussian'} - if (N > 2000) - Y = pdist(x(randperm(rndstream, 2000),:)); - else - Y = pdist(x); - end - plower = prctile(Y,20); - pupper = prctile(Y,60); - if (numHiddenNeurons(i) <= N) - MP = randperm(rndstream, N); - MP = MP(1:numHiddenNeurons(i)); - else - MP = ceil(rand(rndstream, 1, numHiddenNeurons(i)) * N); - end - W1 = x(MP,:); - W10 = rand(rndstream, 1, numHiddenNeurons(i)) * (pupper-plower) + plower; - - vi = zeros(N, numHiddenNeurons(i)); - for j = 1:numHiddenNeurons(i) - vi(:,j) = auxGaussianFcn(x, W1(j,:), W10(j)); -% vi(:,j) = exp(-sum((x - ones(N,1) * W1(j,:)).^2, 2) / W10(j)^2); - end - KM.value = [KM.value vi]; - KM.function = [KM.function repmat({'gauss'}, 1, numHiddenNeurons(i))]; - KM.param.p1 = [KM.param.p1 W1']; - KM.param.p2 = [KM.param.p2 W10]; - clear W1 W10 pupper plower Y MP - end - end -end diff --git a/develop/_ELM_JMA/elm-jma/auxGaussianFcn.m b/develop/_ELM_JMA/elm-jma/auxGaussianFcn.m deleted file mode 100755 index 4e60e6a..0000000 --- a/develop/_ELM_JMA/elm-jma/auxGaussianFcn.m +++ /dev/null @@ -1,4 +0,0 @@ -function out = auxGaussianFcn(X, C, sig) -% out = exp(sum((X - ones(size(X,1),1) * C).^2, 2) / sig^2); - out = exp(-mean(abs((X - ones(size(X,1),1) * C)).^2, 2) / sig^2); -end \ No newline at end of file diff --git a/develop/_ELM_JMA/elm-jma/combineJackknife.m b/develop/_ELM_JMA/elm-jma/combineJackknife.m deleted file mode 100755 index 269f0d4..0000000 --- a/develop/_ELM_JMA/elm-jma/combineJackknife.m +++ /dev/null @@ -1,57 +0,0 @@ -function weights = combineJackknife(residuals, minThresh, criterion, numBestModels) -% -% Jackknife model averaging with some thresholding. Original Jackknife is -% based on loo residuals. -% -% Optional arguments are focused on condisering only several models, -% i.e. taking best models based on some criterion. Minimization is assumed, -% that is, the smaller the value in this vector the better the model is. -% -% Input: -% residuals Residuals of the models. Matrix NxK. -% minThresh Minimum threshold for weights to be included. Default is 0. -% criterion Some criterion for models. Vector Kx1. -% numBestModels Number of best models to choose (based on above criterion). -% -% Output: -% weights Ensemble weights for all K models. Those that are -% not considered at all have 0 weight. -% - -% -% Reference: -% Hansen and Racine. 'Jackknife model averaging', -% Journal of Econometrics 167():38-46, 2012 -% - - numModels = size(residuals, 2); - if (nargin < 2 || isempty(minThresh)) - minThresh = 0; - end - if (nargin < 3 || isempty(criterion)) - idx = 1:numModels; - else - [~,idx] = sort(criterion); - end - if (nargin < 4 || isempty(numBestModels)) - numBestModels = numModels; - end - - numBest = min(max(1, numBestModels), numModels); - idx = idx(1:numBest); - sel = false(1,numModels); - sel(idx) = true; - weights = zeros(numModels,1); - - % quadratic problem solver - S = (residuals(:,sel)' * residuals(:,sel)) / size(residuals,1); - S = (S + S') / 2; - w = quadprog(2*S, zeros(1,numBest), [], [], ones(1,numBest), 1, zeros(numBest,1), [], [],... - optimset('Algorithm', 'interior-point-convex', 'Display', 'off')); - - list = w < minThresh; - w(list) = 0; - w(~list) = w(~list) ./ sum(w(~list)); - weights(sel) = w; -end - diff --git a/develop/_ELM_JMA/elm-jma/elmSimulate_loo.m b/develop/_ELM_JMA/elm-jma/elmSimulate_loo.m deleted file mode 100755 index ef964f7..0000000 --- a/develop/_ELM_JMA/elm-jma/elmSimulate_loo.m +++ /dev/null @@ -1,44 +0,0 @@ -function [err yh] = elmSimulate_loo(model, x, y) - - if (nargin < 3 || isempty(y)) - y = ones(size(x,1),1) * NaN; - end - - KM = model.KM; - [N,d] = size(x); - - H = zeros(size(x,1), length(KM.function)); - for i = 1:length(KM.function) - switch KM.function{i} - case 'lin' - H(:,i) = x(:,KM.param.p2(i)); - - case 'sig' - tt = x * KM.param.p1(:,i) + ones(N,1) * KM.param.p2(:,i); - H(:,i) = 1 ./ (1 + exp(-tt)); - - case 'tanh' - tt = x * KM.param.p1(:,i) + ones(N,1) * KM.param.p2(:,i); - H(:,i) = tanh(tt); - - case 'sine' - tt = x * KM.param.p1(:,i) + ones(N,1) * KM.param.p2(:,i); - H(:,i) = sin(tt); - - case {'rbf', 'gauss'} -% H(:,i) = exp(sum((x - ones(N,1) * KM.param.p1(:,i)').^2, 2) / KM.param.p2(:,i)); - H(:,i) = auxGaussianFcn(x, KM.param.p1(:,i)', KM.param.p2(:,i)); - end - end - - yh.loo = [H(:,1:model.bestloo) ones(N,1)] * model.outWeights([1:model.bestloo end]); - err.loo = mean((y - yh.loo).^2); - - ll = find(model.jackWeights > 0); - yh.jack = zeros(N, length(model.jackWeights)); - for i = 1:length(ll) - yh.jack(:,ll(i)) = [H(:,1:ll(i)) ones(N,1)] * model.allWeights([1:ll(i) size(KM.value,2)+1], ll(i)); - end - yh.jack = yh.jack * model.jackWeights; - err.jack = mean((y - yh.jack).^2); -end diff --git a/develop/_ELM_JMA/elm-jma/elmTrain_loo.m b/develop/_ELM_JMA/elm-jma/elmTrain_loo.m deleted file mode 100755 index f65d361..0000000 --- a/develop/_ELM_JMA/elm-jma/elmTrain_loo.m +++ /dev/null @@ -1,88 +0,0 @@ -function model = elmTrain_loo(x, y, activationFcns, numHiddenNeurons, rndseed) -% -% Extreme Learning Machine training phase with LOO as criterion. -% Train neuron by neuron, and ensemble with Jackknife model averaging -% -% Input: -% x -% y -% humHiddenNeurons -% -% Output: -% model model which contains weights for all possible -% weight averaging combinations -% - - [N,d] = size(x); - numHiddenNeurons = double(numHiddenNeurons); - - if (exist('rndseed', 'var') && ~isempty(rndseed)) - elmStream = RandStream.create('mt19937ar', 'NumStreams', 1, 'Seed', rndseed); - else - elmStream = RandStream.getDefaultStream; - end - - %% initialization of kernels - H = auxBuildKernelMatrix(x, activationFcns, numHiddenNeurons, elmStream); - maxNeurons = min(N - 5, size(H.value,2)); % N-5 because of kicc, keep this since I am going to compare to kicc criterion - perm = randperm(elmStream, maxNeurons); - H.value = H.value(:,perm); % permute to avoid stacked same functions - H.function = H.function(perm); - H.param.p1 = H.param.p1(:,perm); - H.param.p2 = H.param.p2(perm); - - %% go through possible solutions (adding 1 neuron at a time) - weights = zeros(maxNeurons+1, maxNeurons); - yh = zeros(N,maxNeurons); - residuals = zeros(N,maxNeurons); -% yhloo = zeros(N,maxNeurons); - residualsloo = zeros(N,maxNeurons); - loo = zeros(1,maxNeurons); - -% timer = CTimer(); -% timer.start(); - for i = 1:maxNeurons - Ht = [H.value(:,1:i) ones(N,1)]; - [Q R] = qr(Ht, 0); - opts.UT = true; - w = linsolve(R, Q' * y, opts); - - s = R \ eye(size(R,1)); - P = Ht * (s * s'); - mydiag = dot(P, Ht, 2); - yh(:,i) = Ht * w; - residuals(:,i) = y - yh(:,i); - residualsloo(:,i) = residuals(:,i) ./ (1 - mydiag); -% yhloo(:,i) = y - residualsloo(:,i); - - weights([1:i maxNeurons+1],i) = w; - - loo(i) = mean(residualsloo(:,i).^2); - end - elm_train_time = timer.getElapsedSeconds(); -% timer.stop(); - - [~, idxloo] = min(loo); - ww = weights(:,idxloo); - % check gradient as well (TO DO) - - - %% ensembling - MIN_THRESH = 1e-3; -% timer.start(); - jack = combineJackknife(residualsloo, MIN_THRESH); - ensemble_time = timer.getElapsedSeconds(); -% timer.stop(); - - - %% build output structure - model.KM = H; - model.outWeights = ww; - model.allWeights = weights; - model.loo = loo; - model.bestloo = idxloo; - model.jackWeights = jack; - model.times.train = elm_train_time; - model.times.ensemble = ensemble_time; - -end diff --git a/develop/_Feature_selection/IJUFKS-D-14-00134.pdf b/develop/_Feature_selection/IJUFKS-D-14-00134.pdf deleted file mode 100644 index 931810a..0000000 Binary files a/develop/_Feature_selection/IJUFKS-D-14-00134.pdf and /dev/null differ diff --git a/develop/_Feature_selection/NEW-OP-ELM.pdf b/develop/_Feature_selection/NEW-OP-ELM.pdf deleted file mode 100755 index c6ff140..0000000 Binary files a/develop/_Feature_selection/NEW-OP-ELM.pdf and /dev/null differ diff --git a/develop/_HannanQuinn/Akaike and BIC.pdf b/develop/_HannanQuinn/Akaike and BIC.pdf deleted file mode 100644 index e67ceaf..0000000 Binary files a/develop/_HannanQuinn/Akaike and BIC.pdf and /dev/null differ diff --git a/develop/_Imbalance_learning/Weighted ELM.txt b/develop/_Imbalance_learning/Weighted ELM.txt deleted file mode 100644 index 79091c5..0000000 --- a/develop/_Imbalance_learning/Weighted ELM.txt +++ /dev/null @@ -1 +0,0 @@ -Weighted Extreme Learning Machine for imbalance learning \ No newline at end of file diff --git a/develop/_Incremental_Timeseries/MG_opium.py b/develop/_Incremental_Timeseries/MG_opium.py deleted file mode 100644 index 108ac56..0000000 --- a/develop/_Incremental_Timeseries/MG_opium.py +++ /dev/null @@ -1,99 +0,0 @@ -""" -Greville and OPIUM method for classifying Mackey-Glass from: -J. Tapson and A. van Schaik, -"Learning the Pseudoinverse Solution to Network Weights" -Neural Networks - -Used for Figure 3. - -@author: andrevanschaik -""" -from pylab import * -from numpy import * -from OPIUM import * - -# Simulation parameters -dt = 0.1 # time step -maxtime = 4000 # simulation stop time -alpha =1.0 # learning rate for OPIUM - -# generate Mackey-Glass series -a = 0.2 -b = 0.1 -tau = 170 -mg = ones(maxtime) -mg[0] = 0.000001 -for t in range (tau,maxtime-1): - mg[t+1] = mg[t]+((a*mg[t-tau])/(1+(pow(mg[t-tau],10)))-b*mg[t]) - -# Network parameters -numtaps = 4 -taps = array((0,60,170,1000)) -max_taps = 1000 -fanout = 10 -forward = 50 -size_hidden = numtaps*fanout # size of hidden layer -random_weights = random.rand(size_hidden,numtaps)-0.5 # input->hidden weights - -# Greville Method - -# Initialisation of matrices -M = zeros((1,size_hidden)) # hidden->output weights -x = zeros((numtaps,1)) # current inputs to the network -h = zeros((size_hidden,1)) # hidden layer output -E = zeros(maxtime) # error matrix for plotting vs time -Y = zeros((1,maxtime)) # network output vs time -P = eye(size_hidden) / size_hidden # initialise correlation matrix inverse - -for t in range(max_taps,maxtime-forward): - x = reshape(mg[t-taps],(numtaps,1)) # input vector - h = tanh(dot(random_weights,x)) # hidden layer activation with sigmoid - y = dot(M,h) # output value - Y[0,t+forward] = y # output is saved as the predicted sample - E[t+forward] = mg[t+forward]-y # calculate error - Greville(h,E[t+forward],M,P) # basic Greville method -# end for t - -# Calculate RMS error for the last 1000 points -error_G = sqrt(mean((Y[0,maxtime-1000:maxtime]-mg[maxtime-1000:maxtime])**2)) -print error_G - -# Plot input, output, and error -ion() -figure(0) -plot(mg) -plot(Y[0],'r') -plot(E,'g') - -savetxt('MG_Greville.txt',(mg, Y[0], E)) - -# OPIUM Method - -# Initialisation of signal matrices -M = zeros((1,size_hidden)) # hidden->output weights -x = zeros((numtaps,1)) # current inputs to the network -h = zeros((size_hidden,1)) # hidden layer output -E_O = zeros(maxtime) # error matrix for plotting vs time -Y_O = zeros((1,maxtime)) # network output vs time -P = eye(size_hidden) / size_hidden # initialise correlation matrix inverse - -for t in range(max_taps,maxtime-forward): - x = reshape(mg[t-taps],(numtaps,1)) # input vector - h = tanh(dot(random_weights,x)) # hidden layer activation with sigmoid - y = dot(M,h) # output value - Y_O[0,t+forward] = y # output is saved as the predicted sample - E_O[t+forward] = mg[t+forward]-y # calculate error - OPIUM(h,E_O[t+forward],M,P,alpha) # OPIUM method -# end for t - -# Calculate RMS error for the last 1000 points -error_O = sqrt(mean((Y_O[0,maxtime-1000:maxtime]-mg[maxtime-1000:maxtime])**2)) -print error_O - -# Plot input, output, and error -figure(1) -plot(mg) -plot(Y_O[0],'r') -plot(E_O,'g') - -savetxt('MG_Opium.txt',(mg, Y_O[0], E_O)) diff --git a/develop/_Incremental_Timeseries/OPIUM.py b/develop/_Incremental_Timeseries/OPIUM.py deleted file mode 100644 index 5cb7375..0000000 --- a/develop/_Incremental_Timeseries/OPIUM.py +++ /dev/null @@ -1,29 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Greville and OPIUM method from: -J. Tapson and A. van Schaik, -"Learning the Pseudoinverse Solution to Network Weights" -Neural Networks - -Created on Sun Aug 5 10:05:29 2012 - -@author: andrevanschaik -""" -from numpy import dot, exp, eye, sqrt - -def Greville(x,ee,M,P): #Greville's method for recursive pseudoinverse - psi = dot(P,x) - nrm1 = 1+dot(x.T,psi) - P -= dot(psi,psi.T)/nrm1 - M += dot(ee,psi.T)/nrm1 - -def OPIUM(x,ee,M,P,alpha): #OPIUM modification to Greville - psi = dot(P,x) - nrm1 = 1+dot(x.T,psi) - nrm2 = 1+alpha*(1-exp(-sqrt(dot(ee.T,ee))/ee.size)) - P -= dot(psi,psi.T)/nrm1 - P += alpha * eye(P.size**0.5) * (1-exp(-sqrt(dot(ee.T,ee))/ee.size)) - P /= nrm2 - M += dot(ee,psi.T)/nrm1 - - diff --git a/develop/_Incremental_Timeseries/opium.pdf b/develop/_Incremental_Timeseries/opium.pdf deleted file mode 100644 index 924200c..0000000 Binary files a/develop/_Incremental_Timeseries/opium.pdf and /dev/null differ diff --git a/develop/_ML-ELM_Multilayer/extreme-learning-machines.pdf b/develop/_ML-ELM_Multilayer/extreme-learning-machines.pdf deleted file mode 100755 index a04d71a..0000000 Binary files a/develop/_ML-ELM_Multilayer/extreme-learning-machines.pdf and /dev/null differ diff --git a/develop/_Math_solution/ldlmnls_Emil_solution.m b/develop/_Math_solution/ldlmnls_Emil_solution.m deleted file mode 100755 index d07949d..0000000 --- a/develop/_Math_solution/ldlmnls_Emil_solution.m +++ /dev/null @@ -1,31 +0,0 @@ -function x = ldlmnls(A,b) -% Minimum-norm least squares solver of normal equations by LDL -% decomposition, and QR refinement to get the minimum norm - -%% normal equations -AtA=A'*A; - -%% LDL -[L,D,p] = ldl(AtA,'vector'); - -tolerance = max(size(A))*abs(D(1,1))*eps(class(A)); - -r = abs(diag(D)) > tolerance; -L = L(:,r); -D = D(r,r); - -%% least squares -x1 = A(:,p)'*b; -opts.LT = true; -x2 = linsolve(L,x1,opts); -x3 = mldivide(D,x2); -%% Least squares solution: (not minimum-norm) -% opts2.LT=true; opts2.TRANSA=true; -% x(p,:) = linsolve(L,x3,opts2); - -%% QR to get the minimum norm solution to L'*x = x3 : -% Section 5.7.2, algorithm 5.7.2, of "Matrix Computations" Golub & Van Loan -[Q, R] = qr(L,0); -opts3.UT=true; opts3.TRANSA=true; -x(p,:) = Q*linsolve(R,x3,opts3); - diff --git a/develop/_Math_solution/normal equations 1.png b/develop/_Math_solution/normal equations 1.png deleted file mode 100755 index d44a9da..0000000 Binary files a/develop/_Math_solution/normal equations 1.png and /dev/null differ diff --git a/develop/_Math_solution/normal equations 2.png b/develop/_Math_solution/normal equations 2.png deleted file mode 100755 index e5425c9..0000000 Binary files a/develop/_Math_solution/normal equations 2.png and /dev/null differ diff --git a/develop/_Math_solution/stable_Cholesky.pdf b/develop/_Math_solution/stable_Cholesky.pdf deleted file mode 100755 index 76e6b79..0000000 Binary files a/develop/_Math_solution/stable_Cholesky.pdf and /dev/null differ diff --git a/develop/_Reproducible_research/Reproducible Research | University of Western Sydney (UWS).webarchive b/develop/_Reproducible_research/Reproducible Research | University of Western Sydney (UWS).webarchive deleted file mode 100644 index be0c537..0000000 Binary files a/develop/_Reproducible_research/Reproducible Research | University of Western Sydney (UWS).webarchive and /dev/null differ diff --git a/develop/_Sphinx/doc/Makefile b/develop/_Sphinx/doc/Makefile deleted file mode 100755 index 909fd05..0000000 --- a/develop/_Sphinx/doc/Makefile +++ /dev/null @@ -1,177 +0,0 @@ -# Makefile for Sphinx documentation -# - -# You can set these variables from the command line. -SPHINXOPTS = -SPHINXBUILD = sphinx-build -PAPER = -BUILDDIR = _build - -# User-friendly check for sphinx-build -ifeq ($(shell which $(SPHINXBUILD) >/dev/null 2>&1; echo $$?), 1) -$(error The '$(SPHINXBUILD)' command was not found. 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If the directory is relative to the -# documentation root, use os.path.abspath to make it absolute, like shown here. -sys.path.insert(0, os.path.abspath('../')) - -# -- General configuration ------------------------------------------------ - -# If your documentation needs a minimal Sphinx version, state it here. -#needs_sphinx = '1.0' - -# Add any Sphinx extension module names here, as strings. They can be -# extensions coming with Sphinx (named 'sphinx.ext.*') or your custom -# ones. -extensions = [ - 'sphinx.ext.autodoc', - 'sphinx.ext.doctest', - 'sphinx.ext.todo', - 'sphinx.ext.coverage', - 'sphinx.ext.mathjax', - 'sphinx.ext.ifconfig', - 'sphinx.ext.viewcode', -] - -# Add any paths that contain templates here, relative to this directory. -templates_path = ['_templates'] - -# The suffix of source filenames. -source_suffix = '.rst' - -# The encoding of source files. -#source_encoding = 'utf-8-sig' - -# The master toctree document. -master_doc = 'index' - -# General information about the project. -project = u'ELM toolbox' -copyright = u'2014, Anton Akusok' - -# The version info for the project you're documenting, acts as replacement for -# |version| and |release|, also used in various other places throughout the -# built documents. -# -# The short X.Y version. -version = '0.1' -# The full version, including alpha/beta/rc tags. -release = '0.1a1' - -# The language for content autogenerated by Sphinx. Refer to documentation -# for a list of supported languages. -#language = None - -# There are two options for replacing |today|: either, you set today to some -# non-false value, then it is used: -#today = '' -# Else, today_fmt is used as the format for a strftime call. -#today_fmt = '%B %d, %Y' - -# List of patterns, relative to source directory, that match files and -# directories to ignore when looking for source files. -exclude_patterns = ['_build'] - -# The reST default role (used for this markup: `text`) to use for all -# documents. -#default_role = None - -# If true, '()' will be appended to :func: etc. cross-reference text. -#add_function_parentheses = True - -# If true, the current module name will be prepended to all description -# unit titles (such as .. function::). -#add_module_names = True - -# If true, sectionauthor and moduleauthor directives will be shown in the -# output. They are ignored by default. -#show_authors = False - -# The name of the Pygments (syntax highlighting) style to use. -pygments_style = 'sphinx' - -# A list of ignored prefixes for module index sorting. -#modindex_common_prefix = [] - -# If true, keep warnings as "system message" paragraphs in the built documents. -#keep_warnings = False - - -# -- Options for HTML output ---------------------------------------------- - -# The theme to use for HTML and HTML Help pages. See the documentation for -# a list of builtin themes. -html_theme = 'default' - -# Theme options are theme-specific and customize the look and feel of a theme -# further. For a list of options available for each theme, see the -# documentation. -#html_theme_options = {} - -# Add any paths that contain custom themes here, relative to this directory. -#html_theme_path = [] - -# The name for this set of Sphinx documents. If None, it defaults to -# " v documentation". -#html_title = None - -# A shorter title for the navigation bar. Default is the same as html_title. -#html_short_title = None - -# The name of an image file (relative to this directory) to place at the top -# of the sidebar. -#html_logo = None - -# The name of an image file (within the static path) to use as favicon of the -# docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32 -# pixels large. -#html_favicon = None - -# Add any paths that contain custom static files (such as style sheets) here, -# relative to this directory. They are copied after the builtin static files, -# so a file named "default.css" will overwrite the builtin "default.css". -html_static_path = ['.static'] - -# Add any extra paths that contain custom files (such as robots.txt or -# .htaccess) here, relative to this directory. These files are copied -# directly to the root of the documentation. -#html_extra_path = [] - -# If not '', a 'Last updated on:' timestamp is inserted at every page bottom, -# using the given strftime format. -#html_last_updated_fmt = '%b %d, %Y' - -# If true, SmartyPants will be used to convert quotes and dashes to -# typographically correct entities. -#html_use_smartypants = True - -# Custom sidebar templates, maps document names to template names. -#html_sidebars = {} - -# Additional templates that should be rendered to pages, maps page names to -# template names. -#html_additional_pages = {} - -# If false, no module index is generated. -#html_domain_indices = True - -# If false, no index is generated. -#html_use_index = True - -# If true, the index is split into individual pages for each letter. -#html_split_index = False - -# If true, links to the reST sources are added to the pages. -#html_show_sourcelink = True - -# If true, "Created using Sphinx" is shown in the HTML footer. Default is True. -#html_show_sphinx = True - -# If true, "(C) Copyright ..." is shown in the HTML footer. Default is True. -#html_show_copyright = True - -# If true, an OpenSearch description file will be output, and all pages will -# contain a tag referring to it. The value of this option must be the -# base URL from which the finished HTML is served. -#html_use_opensearch = '' - -# This is the file name suffix for HTML files (e.g. ".xhtml"). -#html_file_suffix = None - -# Output file base name for HTML help builder. -htmlhelp_basename = 'ELMtoolboxdoc' - - -# -- Options for LaTeX output --------------------------------------------- - -latex_elements = { -# The paper size ('letterpaper' or 'a4paper'). -#'papersize': 'letterpaper', - -# The font size ('10pt', '11pt' or '12pt'). -#'pointsize': '10pt', - -# Additional stuff for the LaTeX preamble. -#'preamble': '', -} - -# Grouping the document tree into LaTeX files. List of tuples -# (source start file, target name, title, -# author, documentclass [howto, manual, or own class]). -latex_documents = [ - ('index', 'ELMtoolbox.tex', u'ELM toolbox Documentation', - u'Anton Akusok', 'manual'), -] - -# The name of an image file (relative to this directory) to place at the top of -# the title page. -#latex_logo = None - -# For "manual" documents, if this is true, then toplevel headings are parts, -# not chapters. -#latex_use_parts = False - -# If true, show page references after internal links. -#latex_show_pagerefs = False - -# If true, show URL addresses after external links. -#latex_show_urls = False - -# Documents to append as an appendix to all manuals. -#latex_appendices = [] - -# If false, no module index is generated. -#latex_domain_indices = True - - -# -- Options for manual page output --------------------------------------- - -# One entry per manual page. List of tuples -# (source start file, name, description, authors, manual section). -man_pages = [ - ('index', 'elmtoolbox', u'ELM toolbox Documentation', - [u'Anton Akusok'], 1) -] - -# If true, show URL addresses after external links. -#man_show_urls = False - - -# -- Options for Texinfo output ------------------------------------------- - -# Grouping the document tree into Texinfo files. List of tuples -# (source start file, target name, title, author, -# dir menu entry, description, category) -texinfo_documents = [ - ('index', 'ELMtoolbox', u'ELM toolbox Documentation', - u'Anton Akusok', 'ELMtoolbox', 'One line description of project.', - 'Miscellaneous'), -] - -# Documents to append as an appendix to all manuals. -#texinfo_appendices = [] - -# If false, no module index is generated. -#texinfo_domain_indices = True - -# How to display URL addresses: 'footnote', 'no', or 'inline'. -#texinfo_show_urls = 'footnote' - -# If true, do not generate a @detailmenu in the "Top" node's menu. -#texinfo_no_detailmenu = False - - -# -- Options for Epub output ---------------------------------------------- - -# Bibliographic Dublin Core info. -epub_title = u'ELM toolbox' -epub_author = u'Anton Akusok' -epub_publisher = u'Anton Akusok' -epub_copyright = u'2014, Anton Akusok' - -# The basename for the epub file. It defaults to the project name. -#epub_basename = u'ELM toolbox' - -# The HTML theme for the epub output. Since the default themes are not optimized -# for small screen space, using the same theme for HTML and epub output is -# usually not wise. This defaults to 'epub', a theme designed to save visual -# space. -#epub_theme = 'epub' - -# The language of the text. It defaults to the language option -# or en if the language is not set. -#epub_language = '' - -# The scheme of the identifier. Typical schemes are ISBN or URL. -#epub_scheme = '' - -# The unique identifier of the text. This can be a ISBN number -# or the project homepage. -#epub_identifier = '' - -# A unique identification for the text. -#epub_uid = '' - -# A tuple containing the cover image and cover page html template filenames. -#epub_cover = () - -# A sequence of (type, uri, title) tuples for the guide element of content.opf. -#epub_guide = () - -# HTML files that should be inserted before the pages created by sphinx. -# The format is a list of tuples containing the path and title. -#epub_pre_files = [] - -# HTML files shat should be inserted after the pages created by sphinx. -# The format is a list of tuples containing the path and title. -#epub_post_files = [] - -# A list of files that should not be packed into the epub file. -epub_exclude_files = ['search.html'] - -# The depth of the table of contents in toc.ncx. -#epub_tocdepth = 3 - -# Allow duplicate toc entries. -#epub_tocdup = True - -# Choose between 'default' and 'includehidden'. -#epub_tocscope = 'default' - -# Fix unsupported image types using the PIL. -#epub_fix_images = False - -# Scale large images. -#epub_max_image_width = 0 - -# How to display URL addresses: 'footnote', 'no', or 'inline'. -#epub_show_urls = 'inline' - -# If false, no index is generated. -#epub_use_index = True diff --git a/develop/_Sphinx/doc/index.rst b/develop/_Sphinx/doc/index.rst deleted file mode 100755 index cfe5dd0..0000000 --- a/develop/_Sphinx/doc/index.rst +++ /dev/null @@ -1,27 +0,0 @@ -.. ELM toolbox documentation master file, created by - sphinx-quickstart on Wed Aug 20 10:41:04 2014. - You can adapt this file completely to your liking, but it should at least - contain the root `toctree` directive. - -Welcome to ELM toolbox's documentation! -======================================= - -Contents: - -.. toctree:: - :maxdepth: 2 - - -.. automodule:: elm - -.. autoclass:: ELM - :members: - - -Indices and tables -================== - -* :ref:`genindex` -* :ref:`modindex` -* :ref:`search` - diff --git a/develop/_Sphinx/doc/make.bat b/develop/_Sphinx/doc/make.bat deleted file mode 100755 index a013e8e..0000000 --- a/develop/_Sphinx/doc/make.bat +++ /dev/null @@ -1,242 +0,0 @@ -@ECHO OFF - -REM Command file for Sphinx documentation - -if "%SPHINXBUILD%" == "" ( - set SPHINXBUILD=sphinx-build -) -set BUILDDIR=.build -set ALLSPHINXOPTS=-d %BUILDDIR%/doctrees %SPHINXOPTS% . -set I18NSPHINXOPTS=%SPHINXOPTS% . -if NOT "%PAPER%" == "" ( - set ALLSPHINXOPTS=-D latex_paper_size=%PAPER% %ALLSPHINXOPTS% - set I18NSPHINXOPTS=-D latex_paper_size=%PAPER% %I18NSPHINXOPTS% -) - -if "%1" == "" goto help - -if "%1" == "help" ( - :help - echo.Please use `make ^` where ^ is one of - echo. html to make standalone HTML files - echo. dirhtml to make HTML files named index.html in directories - echo. singlehtml to make a single large HTML file - echo. pickle to make pickle files - echo. json to make JSON files - echo. htmlhelp to make HTML files and a HTML help project - echo. qthelp to make HTML files and a qthelp project - echo. devhelp to make HTML files and a Devhelp project - echo. epub to make an epub - echo. latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter - echo. text to make text files - echo. man to make manual pages - echo. texinfo to make Texinfo files - echo. gettext to make PO message catalogs - echo. changes to make an overview over all changed/added/deprecated items - echo. xml to make Docutils-native XML files - echo. pseudoxml to make pseudoxml-XML files for display purposes - echo. linkcheck to check all external links for integrity - echo. doctest to run all doctests embedded in the documentation if enabled - goto end -) - -if "%1" == "clean" ( - for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i - del /q /s %BUILDDIR%\* - goto end -) - - -%SPHINXBUILD% 2> nul -if errorlevel 9009 ( - echo. - echo.The 'sphinx-build' command was not found. 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The XML files are in %BUILDDIR%/xml. - goto end -) - -if "%1" == "pseudoxml" ( - %SPHINXBUILD% -b pseudoxml %ALLSPHINXOPTS% %BUILDDIR%/pseudoxml - if errorlevel 1 exit /b 1 - echo. - echo.Build finished. The pseudo-XML files are in %BUILDDIR%/pseudoxml. - goto end -) - -:end diff --git a/develop/compare_optimization_functions.py b/develop/compare_optimization_functions.py deleted file mode 100755 index 1f76a2b..0000000 --- a/develop/compare_optimization_functions.py +++ /dev/null @@ -1,291 +0,0 @@ -# -*- coding: utf-8 -*- -""" - -COMPARED BUILD-IN SINGLE VARIABLE OPTIMIZATION FUNCTION AND MY OWN IMPLEMENTATION. - -MY IMPLEMENTATION CREATES 50% MORE FUNCTION CALLS. - -MY IMPLEMENTATION PERFORMS BETTER BECAUSE IT CHECKS MAXIMUM AND MINIMUM NUMBERS OF NEURONS ALSO, WHILE -BUILD-IN IMPLEMENTATION CHECKS ROUGHLY 10% AND 85% BORDERS AND DOES NOT CHECK OUTSIDE THEM IF THERE IS -A LOCAL MINIMA INSIDE THAT REGION. - - -""" - -import numpy as np -from numpy.linalg import pinv -from scipy.optimize import minimize_scalar, brenth - -from nnet import SLFN - - -class ELM(SLFN): - """Non-parallel Extreme Learning Machine. - """ - - # inherited def _checkdata(self, X, T): - # inherited def add_neurons(self, number, func, W=None, B=None): - # inherited def project(self, X): - # inherited def predict(self, X): - # inherited def save(self, model): - # inherited def load(self, model): - - def __init__(self, inputs, outputs): - """Universal contructor of ELM model. - - :param neurons: number of neurons or exact neuron - """ - super(ELM, self).__init__(inputs, outputs) - - def train(self, X, T, *args, **kwargs): - """Universal training interface for ELM model with model structure selection. - - :param X: input data matrix - :param T: target data matrix - - Model structure selection (exclusive, choose one) - :param "V": use validation set - :param "CV": use cross-validation - :param "LOO": use leave-one-out validation - - Additional parameters for model structure selecation - :param Xv: validation data X ("V") - :param Tv: validation targets T ("V") - :param k: number of splits ("CV") - - Ranking of hidden neurons - :param "HQ": use Hannan-Quinn criterion - :param "OP": use Optimal Pruning (OP-ELM) - - System setup - :param "classification"/"c": build ELM for classification - :param "multiclass"/"mc": build ELM for multiclass classification - :param "adaptive"/"ad": build adaptive ELM for non-stationary model - :param "batch": batch size for adaptive ELM (sliding window step size) - """ - - assert len(self.neurons) > 0, "Add neurons to ELM before training it" - X, T = self._checkdata(X, T) - args = [a.upper() for a in args] # make all arguments upper case - - # kind of "enumerators", try to use only inside that script - MODELSELECTION = None # V / CV / MCCV / LOO / None - NEURONRANKING = None # HQ / OP / None - CLASSIFICATION = None # c / mc / None - ADAPTIVE = False # batch / None - Xv = None - Tv = None - k = None - batch = None - - # check exclusive parameters - assert len(set(args).intersection(set(["V", "CV", "MCCV", "LOO"]))) <= 1, "Use only one of V / CV / MCCV / LOO" - assert len(set(args).intersection(set(["HQ", "OP"]))) <= 1, "Use only one of HQ / OP" - assert len(set(args).intersection(set(["C", "MC"]))) <= 1, "Use only one of classification / multiclass (c / mc)" - - # parse parameters - for a in args: - if a == "V": # validation set - assert "Xv" in kwargs.keys(), "Provide validation dataset (Xv)" - assert "Tv" in kwargs.keys(), "Provide validation targets (Tv)" - Xv = kwargs['Xv'] - Tv = kwargs['Tv'] - Xv, Tv = self._checkdata(Xv, Tv) - MODELSELECTION = "V" - if a == "CV": - assert "k" in kwargs.keys(), "Provide Cross-Validation number of splits (k)" - k = kwargs['k'] - MODELSELECTION = "CV" - if a == "LOO": - MODELSELECTION = "LOO" - if a == "HQ": - NEURONRANKING = "HQ" - if a == "OP": - NEURONRANKING = "OP" - if a in ("C", "CL", "CLASSIFICATION"): - CLASSIFICATION = "c" - if a in ("MC", "MULTICLASS"): - CLASSIFICATION = "mc" - if a in ("A", "AD", "ADAPTIVE"): - assert "batch" in kwargs.keys(), "Provide batch size for adaptive ELM model (batch)" - batch = kwargs['batch'] - ADAPTIVE = True - - if MODELSELECTION == "V": - self._train_v(X, T, Xv, Tv) - else: - self.Beta = self._solve(self.project(X), T) - - def _project_corr(self, X, T): - """Create correlation matrices of projected data and targets. - """ - H = self.project(X) - HH = np.dot(H.T, H) - HT = np.dot(H.T, T) - return HH, HT - - def _solve(self, H, T): - """Solve a linear system. - """ - P = pinv(H) - Beta = np.dot(P, T) - return Beta - - def _error(self, Y, T): - """Return an error for given Y and T. - - Differs for classification and multiclass. - """ - err = np.mean((Y - T)**2) - return err - - def _prune(self, idx): - """Leave only neurons with the given indexes. - """ - idx = list(idx) - neurons = [] - for nold in self.neurons: - k = nold[1] # number of neurons - ix1 = [i for i in idx if i < k] # index for current neuron type - idx = [i-k for i in idx if i >= k] - func = nold[0] - number = len(ix1) - W = nold[2][:, ix1] - bias = nold[3][ix1] - neurons.append((func, number, W, bias)) - self.neurons = neurons - - def _train_v(self, X, T, Xv, Tv): - HH, HT = self._project_corr(X, T) - Hv = self.project(Xv) - nn = Hv.shape[1] - errors = np.ones((nn,)) * -1 - - rank = np.arange(nn) # create ranking of neurons - np.random.shuffle(rank) - - Beta = self._solve(HH, HT) - Yv = np.dot(Hv, Beta) - penalty = self._error(Yv, Tv)*0.01 / nn - - def error_v(k, errors, rank, HH, HT, Hv, Tv, penalty): - if errors[k] == -1: - rank1 = rank[:k] - HH1 = HH[rank1, :][:, rank1] - HT1 = HT[rank1, :] - print k, HH1.shape, HT1.shape, k, len(rank) - B = self._solve(HH1, HT1) - Yv = np.dot(Hv[:, rank1], B) - errors[k] = self._error(Yv, Tv) + k*penalty - return errors[k] - - # this works really good! same result with less re-calculations - result = minimize_scalar(error_v, - bounds=(1, nn), - args=(errors, rank, HH, HT, Hv, Tv, penalty), - method="Bounded", - tol=0.5) - print result - best_nn = rank[:result.x] - from matplotlib import pyplot as plt - plt.plot([i for i in range(nn) if errors[i]>0], [e for e in errors if e > 0], "*b") - - e2 = np.ones((nn,)) * -1 - e3 = np.ones((nn,)) * -1 - for k in xrange(1,nn): - rank1 = rank[:k] - HH1 = HH[rank1, :][:, rank1] - HT1 = HT[rank1, :] - B = self._solve(HH1, HT1) - Yv = np.dot(Hv[:, rank1], B) - errors[k] = self._error(Yv, Tv) - e2[k] = self._error(Yv, Tv) - e3[k] = e2[k] + k*penalty - - plt.plot(range(1,nn), e2[1:], '-k') - plt.plot(range(1,nn), e3[1:], '-r') - - - # MYOPT function - # [A B C D E] interval points, - # halve the interval each time - - # init part - e = np.ones((nn,)) * -1 # error for all numbers of neurons - er = np.ones((nn,)) * -1 # error for all numbers of neurons - A = 1 - E = nn-1 - l = E - A - B = A + l/4 - C = A + l/2 - D = A + 3*l/4 - - while True: - for idx in [A, B, C, D, E]: # calculate errors at points - if e[idx] == -1: - e[idx] = error_v(idx, er, rank, HH, HT, Hv, Tv, penalty) - m = min(e[A], e[B], e[C], e[D], e[E]) # find minimum element - if m in (e[A], e[B]): # halve the search interval - E = C - C = B - elif m in (e[D], e[E]): - A = C - C = D - else: - A = B - E = D - l = E - A - B = A + l/4 - D = A + (3*l)/4 - # minimum is found - if l < 3: - break - - k_opt = [k for k in [A, B, C, D, E] if e[k] == m][0] # find minimum index - best_nn = rank[:k_opt] - - plt.plot([i for i in range(nn) if e[i]>0], [e1 for e1 in e if e1 > 0], "dm") - - self._prune(best_nn) - self.Beta = self._solve(self.project(X), T) - print "%d of %d neurons selected with a validation set" % (len(best_nn), nn) - if len(best_nn) > nn*0.9: - print "Hint: try re-training with more hidden neurons" - - plt.show() - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/elm_small.py b/develop/elm_small.py deleted file mode 100644 index 341a460..0000000 --- a/develop/elm_small.py +++ /dev/null @@ -1,269 +0,0 @@ - # -*- coding: utf-8 -*- -""" -Created on Mon Oct 27 17:48:33 2014 - -@author: akusok -""" - -import numpy as np -from numpy.linalg import lstsq - -from .data_loader import batchX, batchT, c_dictT, decode -from .regularizations import semi_Tikhonov -from .error_functions import press -from .mrsr import mrsr -from .mrsr2 import mrsr2 -from .elm import ELM - - -class ELM_SMALL(ELM): - """Single-machine Extreme Learning Machine with model selection. - """ - - def __init__(self, *args): - """Create ELM of desired kind. - """ - super(ELM_SMALL, self).__init__(*args) - self.batch = -1 # batch < 0 means no batch processing - - - def project(self, X, delimiter=" "): - """Projects inputs to a hidden layer. - """ - X, self.inputs, N = batchX(X, self.batch, delimiter) - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - return H - - - def train(self, X, T, delimiter=" ", neurons=[]): - """Trains ELM, can use any X and T(=Y), and specify neurons. - - Neurons: (number, type, [W], [B]) - """ - - # get data - if self.classification: - self.C_dict = c_dictT(T, self.batch) - X, self.inputs, N = batchX(X, self.batch, delimiter) - T, self.targets = batchT(T, self.batch, delimiter, self.C_dict) - - # get parameters of new data and add neurons - self.Xmean = X.mean(0) - self.Xstd = X.std(0) - - # get mean value of targets - if self.classification or self.multiclass: - self.Tmean = np.zeros((self.targets,)) # for any classification - else: - self.Tmean = T.mean(0) - - self.add_neurons(neurons, N) - - # project data - nn = len(self.ufunc) - HH = np.zeros((nn, nn)) - HT = np.zeros((nn, self.targets)) - - # get hidden layer outputs - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T = semi_Tikhonov(H,T, self.Tmean) # add Tikhonov regularization - - # least squares solution - multiply both sides by H' - p = float(X.shape[0]) / N - HH += np.dot(H.T, H)*p - HT += np.dot(H.T, T)*p - - # solve ELM model - HH += self.cI * np.eye(nn) # enhance solution stability - self.B = lstsq(HH, HT)[0] - #self.B = np.linalg.pinv(HH).dot(HT) - - - - def predict(self, X, delimiter=" "): - """Get predictions using a trained or loaded ELM model. - - :param X: input data - :rtype: predictions Th - """ - - assert self.B is not None, "train this model first" - X, inputs, _ = batchX(X, self.batch, delimiter) - - assert self.inputs == inputs, "incorrect dimensionality of inputs" - # project test inputs to outputs - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - - Th = H.dot(self.B) - # additional processing for classification - if self.classification: - Th = decode(Th, self.C_dict) - - return Th - - - - def loo_press(self, X, Y, delimiter=" "): - """PRESS (Predictive REsidual Summ of Squares) error. - - Trick is to never calculate full HPH' matrix. - """ - - MSE = 0 - X, _, N = batchX(X, self.batch, delimiter) - T, _ = batchT(Y, self.batch, delimiter, self.C_dict) - - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - - MSE = press(H, T, self.classification, self.multiclass) - return MSE - - - - def prune_op(self, X, T, delimiter=" "): - """Prune ELM as in OP-ELM paper. - """ - # get data iterators - X, self.inputs, N = batchX(X, self.batch, delimiter) - T, self.targets = batchT(T, self.batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - - # get hidden layer outputs - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T = semi_Tikhonov(H,T,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - rank = mrsr(H, T, nn) - - # select best number of neurons - MSE = press(H[:, rank[:2]], T, self.classification, self.multiclass) - R_opt = rank[:2] - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - r = rank[:i] - mse1 = press(H[:,r], T, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = r - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - - # update ELM parameters and re-calculate B - self.W = self.W[:,R_opt] - self.ufunc = [self.ufunc[j] for j in R_opt] - self.train(X, T) - - - - def prune_op2(self, X, T, norm=1, delimiter=" "): - """Prune ELM with a more recent implementation of MRSR. - - :param norm: - check numpy.linalg.norm(X, ) - """ - # get data iterators - X, self.inputs, N = batchX(X, self.batch, delimiter) - T, self.targets = batchT(T, self.batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - - # get hidden layer outputs - H = np.dot(X,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T = semi_Tikhonov(H,T,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - # this MRSR2 is a class, with <.rank> attribute and <.new_input()> method - M = mrsr2(H, T, norm) - M.new_input() - M.new_input() - - # select best number of neurons - MSE = press(H[:, M.rank], T, self.classification, self.multiclass) - R_opt = M.rank - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - M.new_input() - mse1 = press(H[:, M.rank], T, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = M.rank - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - del M - - # update ELM parameters and re-calculate B - self.W = self.W[:,R_opt] - self.ufunc = [self.ufunc[j] for j in R_opt] - self.train(X, T) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/develop/generator_what_gets_executed.py b/develop/generator_what_gets_executed.py deleted file mode 100755 index 536b6f3..0000000 --- a/develop/generator_what_gets_executed.py +++ /dev/null @@ -1,68 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu Nov 6 16:15:27 2014 - -@author: akusok -""" - - -def gen(k=None): - print "starting" - for i in range(3): - print "generating i: ", i - yield i - print "finalizing", k - -def gen2(): - d = 1 - return d, gen() - - -############################### -g = gen() -print list(g) # finalizes! - -############################### -g = gen() -for g1 in g: - print g1 # finalizes! - -############################### -d,g = gen2() -print "d = ", d -for g1 in g: - print g1 - -############################### -f = gen('f') -g = gen('g') -for a,b in zip(f,g): - print a,b # only F finalizes! - -############################### -print "+++++++++++++++++" -f = gen('f') -g = gen('g') -for a in f: - b = g.next() - print a,b # only F finalizes! - -print "#################" -print "#################" -class C1(): - a = 3 - def pa(self): - print "local a is", self.a - def pb(self): - print "non-local b is", self.b -class C2(C1): - b = 5 - -c2 = C2() -c2.pa() -c2.pb() -c1 = C1() -c1.pa() - - - \ No newline at end of file diff --git a/develop/gpu/compile b/develop/gpu/compile deleted file mode 100644 index 4ea8102..0000000 --- a/develop/gpu/compile +++ /dev/null @@ -1,43 +0,0 @@ -gcc -DADD_ -fopenmp -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c magma_solver.c -o magma_solver.o - -gcc -fopenmp -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lmagma -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o magma_solver magma_solver.o - -################## - -gcc -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c example.c -o example.o - -gcc -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -pthread -fno-strict-aliasing -g -O2 -DNDEBUG -g -fwrapv -O3 -Wall -Wstrict-prototypes -I/home/akusok/anaconda/lib/python2.7/site-packages/numpy/core/include -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -I/home/akusok/anaconda/include/python2.7 -c magma_solver.c -o magma_solver.o - -gcc -pthread -fopenmp -shared magma_solver.o example.o -L/home/akusok/anaconda/lib -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lpython2.7 -lmagma -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o /home/akusok/Data/Dropbox/Documents/X-ELM/hpelm/hpelm/gpu/magma_solver.so - -python test.py - -################### - -rm magma_solver.c && cythonize magma_solver.pyx && gcc -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c example.c -o example.o && gcc -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -pthread -fno-strict-aliasing -g -O2 -DNDEBUG -g -fwrapv -O3 -Wall -Wstrict-prototypes -I/home/akusok/anaconda/lib/python2.7/site-packages/numpy/core/include -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -I/home/akusok/anaconda/include/python2.7 -c magma_solver.c -o magma_solver.o && gcc -pthread -fopenmp -shared magma_solver.o example.o -L/home/akusok/anaconda/lib -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lpython2.7 -lmagma -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o /home/akusok/Data/Dropbox/Documents/X-ELM/hpelm/hpelm/gpu/magma_solver.so && python test.py - - - -######################### - -g++ -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c gpu_solver.cpp -o gpu_solver.o - -g++ -fopenmp -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lmagma -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o gpu_solver gpu_solver.o - - -## - -g++ -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c gpu_solver.c -o gpu_solver.o && g++ -fopenmp -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lmagma -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o gpu_solver gpu_solver.o && ./gpu_solver - -## - -g++ -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -c gpu_solver.cpp -o gpu_solver.o - -cython --cplus magma_solver.pyx - -g++ -DADD_ -fopenmp -fPIC -DHAVE_CUBLAS -pthread -fno-strict-aliasing -g -O2 -DNDEBUG -g -fwrapv -O3 -Wall -Wstrict-prototypes -I/home/akusok/anaconda/lib/python2.7/site-packages/numpy/core/include -I/usr/local/magma/include -I/usr/local/cuda-6.5/include -I/opt/intel/composerxe/mkl/include -I/home/akusok/anaconda/include/python2.7 -c magma_solver.cpp -o magma_solver.o - -g++ -pthread -fopenmp -shared magma_solver.o gpu_solver.o -L/home/akusok/anaconda/lib -L/usr/local/magma/lib -L/opt/intel/composerxe/mkl/lib/intel64 -L/usr/local/cuda-6.5/lib64 -L/opt/intel/composerxe/lib/intel64 -lpython2.7 -lmagma -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core -liomp5 -lpthread -lcublas -lcudart -lstdc++ -lgfortran -lm -o /home/akusok/Data/Dropbox/Documents/X-ELM/hpelm/hpelm/gpu/magma_solver.so - -python -c "from magma_solver import solve2" - diff --git a/develop/gpu/example.c b/develop/gpu/example.c deleted file mode 100644 index 9ea6ebc..0000000 --- a/develop/gpu/example.c +++ /dev/null @@ -1,182 +0,0 @@ -// This is a simple standalone example. See README.txt - -#include -#include - -//#include "cublas_v2.h" // if you need CUBLAS, include before magma.h -#include "magma.h" -//#include "magma_lapack.h" // if you need BLAS & LAPACK - - -void dfill_matrix( magma_int_t m, magma_int_t n, magmaDouble_ptr A, magma_int_t lda ) -{ - #define A(i_, j_) A[ (i_) + (j_)*lda ] - - magma_int_t i, j; - for( j=0; j < n; ++j ) { - for( i=0; i < m; ++i ) { - A(i,j) = rand() / ((double) RAND_MAX); - } - } -} - - -void dprint( magma_int_t m, magma_int_t n, magmaDouble_ptr A, magma_int_t lda ) -{ - #define A(i_, j_) A[ (i_) + (j_)*lda ] - - magma_int_t i, j; - for( j=0; j < n; ++j ) { - for( i=0; i < m; ++i ) { - fprintf(stdout, "%.03f ", A(i,j)); - } - //fprintf(stdout, "\n"); - } - fprintf(stdout, "\n"); -} - -void dprint2( magma_int_t m, magma_int_t n, magmaDouble_ptr A, magma_int_t lda ) -{ - #define A(i_, j_) A[ (i_) + (j_)*lda ] - - magma_int_t i, j; - for( j=0; j < n; ++j ) { - for( i=0; i < m; ++i ) { - fprintf(stdout, "%.03f ", A(i,j)); - } - fprintf(stdout, "\n"); - } - fprintf(stdout, "\n"); -} - -// ------------------------------------------------------------ -// Solve dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -void gpu_solve( magma_int_t n, magma_int_t nrhs, magmaDouble_ptr A, magmaDouble_ptr B, magmaDouble_ptr X ) -{ - magma_init(); - - real_Double_t gpu_time; - magmaDouble_ptr dA=NULL, dB=NULL, dX=NULL, dWORKD=NULL; - float *dWORKS=NULL; - magma_int_t qrsv_iters; - magma_int_t info = 0; - - magma_dmalloc( &dA, n*n ); - magma_dmalloc( &dB, n*nrhs ); - magma_dmalloc( &dX, n*nrhs ); - magma_dmalloc( &dWORKD, n*nrhs ); - magma_smalloc( &dWORKS, n*(n+nrhs) ); - if ( dA == NULL || dB == NULL || dX == NULL || dWORKD == NULL || dWORKS == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - // send data to GPU (round n to ldda) - magma_dsetmatrix( n, n, A, n, dA, n ); - magma_dsetmatrix( n, nrhs, B, n, dB, n ); - - //gpu_time = magma_wtime(); - //magma_dsgesv_gpu( MagmaNoTrans, n, nrhs, - // dA, ldda, ipiv, d_ipiv, - // dB, lddb, dX, lddx, - // dWORKD, dWORKS, &qrsv_iters, &info ); - //gpu_time = magma_wtime() - gpu_time; - //fprintf( stdout, "DSGESV GPU time = %fs with %d iterations (info %d)\n", gpu_time, qrsv_iters, info); - - gpu_time = magma_wtime(); - magma_dsposv_gpu( MagmaUpper, n, nrhs, - dA, n, dB, n, dX, n, - dWORKD, dWORKS, &qrsv_iters, &info ); - gpu_time = magma_wtime() - gpu_time; - fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); - if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } - if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } - - magma_dgetmatrix( n, nrhs, dX, n, X, n ); - -cleanup: - magma_free( dA ); - magma_free( dB ); - magma_free( dX ); - magma_finalize(); -} - - - - -// ------------------------------------------------------------ -int main( int argc, char** argv ) -{ - magma_init(); - - magma_int_t n = 20000; - magma_int_t lda = n; - magma_int_t ldx = lda; - magma_int_t nrhs = 1000; - - printf( "using MAGMA GPU interface\n" ); - - magmaDouble_ptr A=NULL, B=NULL, X=NULL; - magma_dmalloc_cpu( &A, lda*n ); - magma_dmalloc_cpu( &B, ldx*nrhs ); - magma_dmalloc_cpu( &X, n*nrhs ); - - dfill_matrix( n, n, A, n ); - dfill_matrix( n, nrhs, B, n ); - gpu_solve( n, nrhs, A, B, X ); - - magma_free_cpu( A ); - magma_free_cpu( B ); - magma_free_cpu( X ); - - magma_finalize(); - return 0; -} - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/gpu/example.h b/develop/gpu/example.h deleted file mode 100644 index b4e9b3a..0000000 --- a/develop/gpu/example.h +++ /dev/null @@ -1,3 +0,0 @@ -#include "magma.h" - -void gpu_solve( magma_int_t n, magma_int_t nrhs, magmaDouble_ptr A, magmaDouble_ptr B, magmaDouble_ptr X ); \ No newline at end of file diff --git a/develop/gpu/gpu_solver.cpp b/develop/gpu/gpu_solver.cpp deleted file mode 100644 index 412436e..0000000 --- a/develop/gpu/gpu_solver.cpp +++ /dev/null @@ -1,226 +0,0 @@ -#include -#include -#include "magma.h" - -class GpuSolver { - int n, nrhs; - magmaDouble_ptr dA=NULL, dB=NULL; - public: - GpuSolver( int, int ); - ~GpuSolver(){ - magma_free( dA ); - magma_free( dB ); - magma_finalize(); - }; - void add_data( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ); - void solve( magmaDouble_ptr X ); -}; - - - -// init a zero matrix on GPU to store X'*X -GpuSolver::GpuSolver ( int nn, int outs ) { - - magma_init(); - - n = nn; - nrhs = outs; - - magma_int_t i, j; - magmaDouble_ptr A=NULL, B=NULL; - - magma_dmalloc_cpu( &A, n*n ); - magma_dmalloc_cpu( &B, n*nrhs ); - magma_dmalloc( &dA, n*n ); - magma_dmalloc( &dB, n*nrhs ); - if ( dA == NULL || dB == NULL || A == NULL || B == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU or system memory?\n" ); - goto cleanup; - } - - for( j=0; j < n; ++j ) { - for( i=0; i < n; ++i ) { A[i + j*n] = 0; } - } - for( j=0; j < nrhs; ++j ) { - for( i=0; i < n; ++i ) { B[i + j*n] = 0; } - } - - magma_dsetmatrix( n, n, A, n, dA, n ); - magma_dsetmatrix( n, nrhs, B, n, dB, n ); - - cleanup: - magma_free_cpu( A ); - magma_free_cpu( B ); -}; - - - -// init a zero matrix on GPU to store X'*X -void GpuSolver::add_data ( magma_int_t m, magmaDouble_ptr X, magmaDouble_ptr T ) { - - real_Double_t time; - magmaDouble_ptr dX=NULL, dT=NULL; - - magma_dmalloc( &dX, m*n ); - magma_dmalloc( &dT, m*nrhs ); - if ( dX == NULL || dT == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU or system memory?\n" ); - goto cleanup; - } - - magma_dsetmatrix( m, n, X, m, dX, m ); - magma_dsetmatrix( m, nrhs, T, m, dT, m ); - - time = magma_sync_wtime( NULL ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, nrhs, m, - 1, dX, m, - dT, m, - 1, dB, n ); - magma_dgemm( MagmaTrans, MagmaNoTrans, n, n, m, - 1, dX, m, - dX, m, - 1, dA, n ); - time = magma_sync_wtime( NULL ) - time; - fprintf( stdout, "added data in %f sec\n", time ); - - - cleanup: - magma_free( dX ); - magma_free( dT ); -}; - - - -// Solve dA * dX = dB, where dA and dX are stored in GPU device memory. -// Internally, MAGMA uses a hybrid CPU + GPU algorithm. -void GpuSolver::solve( magmaDouble_ptr X ) -{ - - real_Double_t gpu_time; - magmaDouble_ptr dX=NULL, dWORKD=NULL, Z=NULL; - float *dWORKS=NULL; - magma_int_t qrsv_iters; - magma_int_t info = 0; - - magma_dmalloc( &dX, n*nrhs ); - magma_dmalloc( &dWORKD, n*nrhs ); - magma_smalloc( &dWORKS, n*(n+nrhs) ); - if ( dX == NULL || dWORKD == NULL || dWORKS == NULL ) { - fprintf( stderr, "malloc failed - not enough GPU memory?\n" ); - goto cleanup; - } - - gpu_time = magma_wtime(); - magma_dsposv_gpu( MagmaUpper, n, nrhs, - dA, n, dB, n, dX, n, - dWORKD, dWORKS, &qrsv_iters, &info ); - gpu_time = magma_wtime() - gpu_time; - fprintf( stdout, "DSPOSV GPU solution time = %fs\n", gpu_time); - if ( qrsv_iters == -3 ) {fprintf( stderr, "cannot factor input matrix in single precision, bad initialization?\n"); } - if ( info != 0 ) { fprintf( stderr, "magma_dsposv_gpu failed with info=%d\n", info ); } - - magma_dgetmatrix( n, nrhs, dX, n, X, n ); - -cleanup: - magma_free( dX ); -} - - - -// ------------------------------------------------------------ - - -void dfill_matrix( magma_int_t m, magma_int_t n, magmaDouble_ptr A, magma_int_t lda ) -{ - #define A(i_, j_) A[ (i_) + (j_)*lda ] - - magma_int_t i, j; - for( j=0; j < n; ++j ) { - for( i=0; i < m; ++i ) { - A(i,j) = rand() / ((double) RAND_MAX); - } - } -} - - -int main( int argc, char** argv ) -{ - - magma_int_t n = 15000; - magma_int_t lda = n; - magma_int_t ldx = lda; - magma_int_t nrhs = 1000; - - printf( "using MAGMA GPU interface\n" ); - - GpuSolver g = GpuSolver(n, nrhs); - - // fill some data - magmaDouble_ptr A=NULL, B=NULL; - magma_dmalloc_cpu( &A, n*n ); - magma_dmalloc_cpu( &B, n*nrhs ); - for (int i = 0; i < 2; i++) { - dfill_matrix( n, n, A, n ); - dfill_matrix( n, nrhs, B, n ); - g.add_data( n, A, B ); - }; - - - magmaDouble_ptr X=NULL; - magma_dmalloc_cpu( &X, n*nrhs ); - - g.solve( X ); - - magma_free_cpu( A ); - magma_free_cpu( B ); - magma_free_cpu( X ); - - return 0; -} - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/gpu/gpu_solver.h b/develop/gpu/gpu_solver.h deleted file mode 100644 index a53e2f8..0000000 --- a/develop/gpu/gpu_solver.h +++ /dev/null @@ -1,9 +0,0 @@ -#include "magma.h" - -class GpuSolver { - public: - GpuSolver( int, int ); 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0 : - #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 - (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 : - #endif - PyUnicode_Compare(**name, key); - if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; - if (cmp == 0) { - values[name-argnames] = value; - break; - } - name++; - } - if (*name) continue; - else { - PyObject*** argname = argnames; - while (argname != first_kw_arg) { - int cmp = (**argname == key) ? 0 : - #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 - (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 : - #endif - PyUnicode_Compare(**argname, key); - if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; - if (cmp == 0) goto arg_passed_twice; - argname++; - } - } - } else - goto invalid_keyword_type; - if (kwds2) { - if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad; - } else { - goto invalid_keyword; - } - } - return 0; -arg_passed_twice: - __Pyx_RaiseDoubleKeywordsError(function_name, key); - goto bad; -invalid_keyword_type: - PyErr_Format(PyExc_TypeError, - "%.200s() keywords must be strings", function_name); - goto bad; -invalid_keyword: - PyErr_Format(PyExc_TypeError, - #if PY_MAJOR_VERSION < 3 - "%.200s() got an unexpected keyword argument '%.200s'", - function_name, PyString_AsString(key)); - #else - "%s() got an unexpected keyword argument '%U'", - function_name, key); - #endif -bad: - return -1; -} - -static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) { - PyErr_Format(PyExc_TypeError, - "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)", - name, type->tp_name, Py_TYPE(obj)->tp_name); -} -static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, - const char *name, int exact) -{ - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (none_allowed && obj == Py_None) return 1; - else if (exact) { - if (likely(Py_TYPE(obj) == type)) return 1; - #if PY_MAJOR_VERSION == 2 - else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1; - #endif - } - else { - if (likely(PyObject_TypeCheck(obj, type))) return 1; - } - __Pyx_RaiseArgumentTypeInvalid(name, obj, type); - return 0; -} - -static CYTHON_INLINE int __Pyx_IsLittleEndian(void) { - unsigned int n = 1; - return *(unsigned char*)(&n) != 0; -} -static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, - __Pyx_BufFmt_StackElem* stack, - __Pyx_TypeInfo* type) { - stack[0].field = &ctx->root; - stack[0].parent_offset = 0; - ctx->root.type = type; - ctx->root.name = "buffer dtype"; - ctx->root.offset = 0; - ctx->head = stack; - ctx->head->field = &ctx->root; - ctx->fmt_offset = 0; - ctx->head->parent_offset = 0; - ctx->new_packmode = '@'; - ctx->enc_packmode = '@'; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->is_complex = 0; - ctx->is_valid_array = 0; - ctx->struct_alignment = 0; - while (type->typegroup == 'S') { - ++ctx->head; - ctx->head->field = type->fields; - ctx->head->parent_offset = 0; - type = type->fields->type; - } -} -static int __Pyx_BufFmt_ParseNumber(const char** ts) { - int count; - const char* t = *ts; - if (*t < '0' || *t > '9') { - return -1; - } else { - count = *t++ - '0'; - while (*t >= '0' && *t < '9') { - count *= 10; - count += *t++ - '0'; - } - } - *ts = t; - return count; -} -static int __Pyx_BufFmt_ExpectNumber(const char **ts) { - int number = __Pyx_BufFmt_ParseNumber(ts); - if (number == -1) - PyErr_Format(PyExc_ValueError,\ - "Does not understand character buffer dtype format string ('%c')", **ts); - return number; -} -static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) { - PyErr_Format(PyExc_ValueError, - "Unexpected format string character: '%c'", ch); -} -static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) { - switch (ch) { - case 'c': return "'char'"; - case 'b': return "'signed char'"; - case 'B': return "'unsigned char'"; - case 'h': return "'short'"; - case 'H': return "'unsigned short'"; - case 'i': return "'int'"; - case 'I': return "'unsigned int'"; - case 'l': return "'long'"; - case 'L': return "'unsigned long'"; - case 'q': return "'long long'"; - case 'Q': return "'unsigned long long'"; - case 'f': return (is_complex ? 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"'complex long double'" : "'long double'"); - case 'T': return "a struct"; - case 'O': return "Python object"; - case 'P': return "a pointer"; - case 's': case 'p': return "a string"; - case 0: return "end"; - default: return "unparseable format string"; - } -} -static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) { - switch (ch) { - case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; - case 'h': case 'H': return 2; - case 'i': case 'I': case 'l': case 'L': return 4; - case 'q': case 'Q': return 8; - case 'f': return (is_complex ? 8 : 4); - case 'd': return (is_complex ? 16 : 8); - case 'g': { - PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g').."); - return 0; - } - case 'O': case 'P': return sizeof(void*); - default: - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } -} -static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) { - switch (ch) { - case 'c': case 'b': case 'B': case 's': case 'p': return 1; - case 'h': case 'H': return sizeof(short); - case 'i': case 'I': return sizeof(int); - case 'l': case 'L': return sizeof(long); - #ifdef HAVE_LONG_LONG - case 'q': case 'Q': return sizeof(PY_LONG_LONG); - #endif - case 'f': return sizeof(float) * (is_complex ? 2 : 1); - case 'd': return sizeof(double) * (is_complex ? 2 : 1); - case 'g': return sizeof(long double) * (is_complex ? 2 : 1); - case 'O': case 'P': return sizeof(void*); - default: { - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } - } -} -typedef struct { char c; short x; } __Pyx_st_short; -typedef struct { char c; int x; } __Pyx_st_int; -typedef struct { char c; long x; } __Pyx_st_long; -typedef struct { char c; float x; } __Pyx_st_float; -typedef struct { char c; double x; } __Pyx_st_double; -typedef struct { char c; long double x; } __Pyx_st_longdouble; -typedef struct { char c; void *x; } __Pyx_st_void_p; -#ifdef HAVE_LONG_LONG -typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong; -#endif -static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) { - switch (ch) { - case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; - case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short); - case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int); - case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long); -#ifdef HAVE_LONG_LONG - case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG); -#endif - case 'f': return sizeof(__Pyx_st_float) - sizeof(float); - case 'd': return sizeof(__Pyx_st_double) - sizeof(double); - case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double); - case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*); - default: - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } -} -/* These are for computing the padding at the end of the struct to align - on the first member of the struct. This will probably the same as above, - but we don't have any guarantees. - */ -typedef struct { short x; char c; } __Pyx_pad_short; -typedef struct { int x; char c; } __Pyx_pad_int; -typedef struct { long x; char c; } __Pyx_pad_long; -typedef struct { float x; char c; } __Pyx_pad_float; -typedef struct { double x; char c; } __Pyx_pad_double; -typedef struct { long double x; char c; } __Pyx_pad_longdouble; -typedef struct { void *x; char c; } __Pyx_pad_void_p; -#ifdef HAVE_LONG_LONG -typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong; -#endif -static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) { - switch (ch) { - case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; - case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short); - case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int); - case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long); -#ifdef HAVE_LONG_LONG - case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG); -#endif - case 'f': return sizeof(__Pyx_pad_float) - sizeof(float); - case 'd': return sizeof(__Pyx_pad_double) - sizeof(double); - case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double); - case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*); - default: - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } -} -static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) { - switch (ch) { - case 'c': - return 'H'; - case 'b': case 'h': case 'i': - case 'l': case 'q': case 's': case 'p': - return 'I'; - case 'B': case 'H': case 'I': case 'L': case 'Q': - return 'U'; - case 'f': case 'd': case 'g': - return (is_complex ? 'C' : 'R'); - case 'O': - return 'O'; - case 'P': - return 'P'; - default: { - __Pyx_BufFmt_RaiseUnexpectedChar(ch); - return 0; - } - } -} -static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { - if (ctx->head == NULL || ctx->head->field == &ctx->root) { - const char* expected; - const char* quote; - if (ctx->head == NULL) { - expected = "end"; - quote = ""; - } else { - expected = ctx->head->field->type->name; - quote = "'"; - } - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected %s%s%s but got %s", - quote, expected, quote, - __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); - } else { - __Pyx_StructField* field = ctx->head->field; - __Pyx_StructField* parent = (ctx->head - 1)->field; - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", - field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), - parent->type->name, field->name); - } -} -static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { - char group; - size_t size, offset, arraysize = 1; - if (ctx->enc_type == 0) return 0; - if (ctx->head->field->type->arraysize[0]) { - int i, ndim = 0; - if (ctx->enc_type == 's' || ctx->enc_type == 'p') { - ctx->is_valid_array = ctx->head->field->type->ndim == 1; - ndim = 1; - if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { - PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %zu", - ctx->head->field->type->arraysize[0], ctx->enc_count); - return -1; - } - } - if (!ctx->is_valid_array) { - PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", - ctx->head->field->type->ndim, ndim); - return -1; - } - for (i = 0; i < ctx->head->field->type->ndim; i++) { - arraysize *= ctx->head->field->type->arraysize[i]; - } - ctx->is_valid_array = 0; - ctx->enc_count = 1; - } - group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); - do { - __Pyx_StructField* field = ctx->head->field; - __Pyx_TypeInfo* type = field->type; - if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { - size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); - } else { - size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); - } - if (ctx->enc_packmode == '@') { - size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); - size_t align_mod_offset; - if (align_at == 0) return -1; - align_mod_offset = ctx->fmt_offset % align_at; - if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; - if (ctx->struct_alignment == 0) - ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, - ctx->is_complex); - } - if (type->size != size || type->typegroup != group) { - if (type->typegroup == 'C' && type->fields != NULL) { - size_t parent_offset = ctx->head->parent_offset + field->offset; - ++ctx->head; - ctx->head->field = type->fields; - ctx->head->parent_offset = parent_offset; - continue; - } - if ((type->typegroup == 'H' || group == 'H') && type->size == size) { - } else { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - } - offset = ctx->head->parent_offset + field->offset; - if (ctx->fmt_offset != offset) { - PyErr_Format(PyExc_ValueError, - "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", - (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); - return -1; - } - ctx->fmt_offset += size; - if (arraysize) - ctx->fmt_offset += (arraysize - 1) * size; - --ctx->enc_count; - while (1) { - if (field == &ctx->root) { - ctx->head = NULL; - if (ctx->enc_count != 0) { - __Pyx_BufFmt_RaiseExpected(ctx); - return -1; - } - break; - } - ctx->head->field = ++field; - if (field->type == NULL) { - --ctx->head; - field = ctx->head->field; - continue; - } else if (field->type->typegroup == 'S') { - size_t parent_offset = ctx->head->parent_offset + field->offset; - if (field->type->fields->type == NULL) continue; - field = field->type->fields; - ++ctx->head; - ctx->head->field = field; - ctx->head->parent_offset = parent_offset; - break; - } else { - break; - } - } - } while (ctx->enc_count); - ctx->enc_type = 0; - ctx->is_complex = 0; - return 0; -} -static CYTHON_INLINE PyObject * -__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) -{ - const char *ts = *tsp; - int i = 0, number; - int ndim = ctx->head->field->type->ndim; -; - ++ts; - if (ctx->new_count != 1) { - PyErr_SetString(PyExc_ValueError, - "Cannot handle repeated arrays in format string"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - while (*ts && *ts != ')') { - switch (*ts) { - case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; - default: break; - } - number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) - return PyErr_Format(PyExc_ValueError, - "Expected a dimension of size %zu, got %d", - ctx->head->field->type->arraysize[i], number); - if (*ts != ',' && *ts != ')') - return PyErr_Format(PyExc_ValueError, - "Expected a comma in format string, got '%c'", *ts); - if (*ts == ',') ts++; - i++; - } - if (i != ndim) - return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", - ctx->head->field->type->ndim, i); - if (!*ts) { - PyErr_SetString(PyExc_ValueError, - "Unexpected end of format string, expected ')'"); - return NULL; - } - ctx->is_valid_array = 1; - ctx->new_count = 1; - *tsp = ++ts; - return Py_None; -} -static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { - int got_Z = 0; - while (1) { - switch(*ts) { - case 0: - if (ctx->enc_type != 0 && ctx->head == NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - if (ctx->head != NULL) { - __Pyx_BufFmt_RaiseExpected(ctx); - return NULL; - } - return ts; - case ' ': - case '\r': - case '\n': - ++ts; - break; - case '<': - if (!__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '>': - case '!': - if (__Pyx_IsLittleEndian()) { - PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); - return NULL; - } - ctx->new_packmode = '='; - ++ts; - break; - case '=': - case '@': - case '^': - ctx->new_packmode = *ts++; - break; - case 'T': - { - const char* ts_after_sub; - size_t i, struct_count = ctx->new_count; - size_t struct_alignment = ctx->struct_alignment; - ctx->new_count = 1; - ++ts; - if (*ts != '{') { - PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); - return NULL; - } - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - ctx->enc_count = 0; - ctx->struct_alignment = 0; - ++ts; - ts_after_sub = ts; - for (i = 0; i != struct_count; ++i) { - ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); - if (!ts_after_sub) return NULL; - } - ts = ts_after_sub; - if (struct_alignment) ctx->struct_alignment = struct_alignment; - } - break; - case '}': - { - size_t alignment = ctx->struct_alignment; - ++ts; - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_type = 0; - if (alignment && ctx->fmt_offset % alignment) { - ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); - } - } - return ts; - case 'x': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->fmt_offset += ctx->new_count; - ctx->new_count = 1; - ctx->enc_count = 0; - ctx->enc_type = 0; - ctx->enc_packmode = ctx->new_packmode; - ++ts; - break; - case 'Z': - got_Z = 1; - ++ts; - if (*ts != 'f' && *ts != 'd' && *ts != 'g') { - __Pyx_BufFmt_RaiseUnexpectedChar('Z'); - return NULL; - } - case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': - case 'l': case 'L': case 'q': case 'Q': - case 'f': case 'd': case 'g': - case 'O': case 'p': - if (ctx->enc_type == *ts && got_Z == ctx->is_complex && - ctx->enc_packmode == ctx->new_packmode) { - ctx->enc_count += ctx->new_count; - ctx->new_count = 1; - got_Z = 0; - ++ts; - break; - } - case 's': - if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; - ctx->enc_count = ctx->new_count; - ctx->enc_packmode = ctx->new_packmode; - ctx->enc_type = *ts; - ctx->is_complex = got_Z; - ++ts; - ctx->new_count = 1; - got_Z = 0; - break; - case ':': - ++ts; - while(*ts != ':') ++ts; - ++ts; - break; - case '(': - if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; - break; - default: - { - int number = __Pyx_BufFmt_ExpectNumber(&ts); - if (number == -1) return NULL; - ctx->new_count = (size_t)number; - } - } - } -} -static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { - buf->buf = NULL; - buf->obj = NULL; - buf->strides = __Pyx_zeros; - buf->shape = __Pyx_zeros; - buf->suboffsets = __Pyx_minusones; -} -static CYTHON_INLINE int __Pyx_GetBufferAndValidate( - Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, - int nd, int cast, __Pyx_BufFmt_StackElem* stack) -{ - if (obj == Py_None || obj == NULL) { - __Pyx_ZeroBuffer(buf); - return 0; - } - buf->buf = NULL; - if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; - if (buf->ndim != nd) { - PyErr_Format(PyExc_ValueError, - "Buffer has wrong number of dimensions (expected %d, got %d)", - nd, buf->ndim); - goto fail; - } - if (!cast) { - __Pyx_BufFmt_Context ctx; - __Pyx_BufFmt_Init(&ctx, stack, dtype); - if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; - } - if ((unsigned)buf->itemsize != dtype->size) { - PyErr_Format(PyExc_ValueError, - "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", - buf->itemsize, (buf->itemsize > 1) ? "s" : "", - dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); - goto fail; - } - if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; - return 0; -fail:; - __Pyx_ZeroBuffer(buf); - return -1; -} -static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { - if (info->buf == NULL) return; - if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; - __Pyx_ReleaseBuffer(info); -} - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) { - PyObject *result; - ternaryfunc call = func->ob_type->tp_call; - if (unlikely(!call)) - return PyObject_Call(func, arg, kw); - if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) - return NULL; - result = (*call)(func, arg, kw); - Py_LeaveRecursiveCall(); - if (unlikely(!result) && unlikely(!PyErr_Occurred())) { - PyErr_SetString( - PyExc_SystemError, - "NULL result without error in PyObject_Call"); - } - return result; -} -#endif - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) { - PyObject *self, *result; - PyCFunction cfunc; - cfunc = PyCFunction_GET_FUNCTION(func); - self = PyCFunction_GET_SELF(func); - if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) - return NULL; - result = cfunc(self, arg); - Py_LeaveRecursiveCall(); - if (unlikely(!result) && unlikely(!PyErr_Occurred())) { - PyErr_SetString( - PyExc_SystemError, - "NULL result without error in PyObject_Call"); - } - return result; -} -#endif - -#if CYTHON_COMPILING_IN_CPYTHON -static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) { - PyObject *result; - PyObject *args = PyTuple_New(1); - if (unlikely(!args)) return NULL; - Py_INCREF(arg); - PyTuple_SET_ITEM(args, 0, arg); - result = __Pyx_PyObject_Call(func, args, NULL); - Py_DECREF(args); - return result; -} -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { -#ifdef __Pyx_CyFunction_USED - if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) { -#else - if (likely(PyCFunction_Check(func))) { -#endif - if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) { - return __Pyx_PyObject_CallMethO(func, arg); - } - } - return __Pyx__PyObject_CallOneArg(func, arg); -} -#else -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { - PyObject* args = PyTuple_Pack(1, arg); - return (likely(args)) ? __Pyx_PyObject_Call(func, args, NULL) : NULL; -} -#endif - -#if CYTHON_COMPILING_IN_CPYTHON -static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) { -#ifdef __Pyx_CyFunction_USED - if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) { -#else - if (likely(PyCFunction_Check(func))) { -#endif - if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) { - return __Pyx_PyObject_CallMethO(func, NULL); - } - } - return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL); -} -#endif - -static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { - if (unlikely(!type)) { - PyErr_SetString(PyExc_SystemError, "Missing type object"); - return 0; - } - if (likely(PyObject_TypeCheck(obj, type))) - return 1; - PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s", - Py_TYPE(obj)->tp_name, type->tp_name); - return 0; -} - -static void __Pyx_RaiseBufferFallbackError(void) { - PyErr_SetString(PyExc_ValueError, - "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!"); -} - -static void __Pyx_RaiseBufferIndexError(int axis) { - PyErr_Format(PyExc_IndexError, - "Out of bounds on buffer access (axis %d)", axis); -} - -static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyObject *tmp_type, *tmp_value, *tmp_tb; - PyThreadState *tstate = PyThreadState_GET(); - tmp_type = tstate->curexc_type; - tmp_value = tstate->curexc_value; - tmp_tb = tstate->curexc_traceback; - tstate->curexc_type = type; - tstate->curexc_value = value; - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_type); - Py_XDECREF(tmp_value); - Py_XDECREF(tmp_tb); -#else - PyErr_Restore(type, value, tb); -#endif -} -static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { -#if CYTHON_COMPILING_IN_CPYTHON - PyThreadState *tstate = PyThreadState_GET(); - *type = tstate->curexc_type; - *value = tstate->curexc_value; - *tb = tstate->curexc_traceback; - tstate->curexc_type = 0; - tstate->curexc_value = 0; - tstate->curexc_traceback = 0; -#else - PyErr_Fetch(type, value, tb); -#endif -} - -static PyObject *__Pyx_GetBuiltinName(PyObject *name) { - PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name); - if (unlikely(!result)) { - PyErr_Format(PyExc_NameError, -#if PY_MAJOR_VERSION >= 3 - "name '%U' is not defined", name); -#else - "name '%.200s' is not defined", PyString_AS_STRING(name)); -#endif - } - return result; -} - -static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) { - PyObject *result; -#if CYTHON_COMPILING_IN_CPYTHON - result = PyDict_GetItem(__pyx_d, name); - if (likely(result)) { - Py_INCREF(result); - } else { -#else - result = PyObject_GetItem(__pyx_d, name); - if (!result) { - PyErr_Clear(); -#endif - result = __Pyx_GetBuiltinName(name); - } - return result; -} - -#if PY_MAJOR_VERSION < 3 -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, - CYTHON_UNUSED PyObject *cause) { - Py_XINCREF(type); - if (!value || value == Py_None) - value = NULL; - else - Py_INCREF(value); - if (!tb || tb == Py_None) - tb = NULL; - else { - Py_INCREF(tb); - if (!PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto raise_error; - } - } - if (PyType_Check(type)) { -#if CYTHON_COMPILING_IN_PYPY - if (!value) { - Py_INCREF(Py_None); - value = Py_None; - } -#endif - PyErr_NormalizeException(&type, &value, &tb); - } else { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto raise_error; - } - value = type; - type = (PyObject*) Py_TYPE(type); - Py_INCREF(type); - if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto raise_error; - } - } - __Pyx_ErrRestore(type, value, tb); - return; -raise_error: - Py_XDECREF(value); - Py_XDECREF(type); - Py_XDECREF(tb); - return; -} -#else -static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { - PyObject* owned_instance = NULL; - if (tb == Py_None) { - tb = 0; - } else if (tb && !PyTraceBack_Check(tb)) { - PyErr_SetString(PyExc_TypeError, - "raise: arg 3 must be a traceback or None"); - goto bad; - } - if (value == Py_None) - value = 0; - if (PyExceptionInstance_Check(type)) { - if (value) { - PyErr_SetString(PyExc_TypeError, - "instance exception may not have a separate value"); - goto bad; - } - value = type; - type = (PyObject*) Py_TYPE(value); - } else if (PyExceptionClass_Check(type)) { - PyObject *instance_class = NULL; - if (value && PyExceptionInstance_Check(value)) { - instance_class = (PyObject*) Py_TYPE(value); - if (instance_class != type) { - if (PyObject_IsSubclass(instance_class, type)) { - type = instance_class; - } else { - instance_class = NULL; - } - } - } - if (!instance_class) { - PyObject *args; - if (!value) - args = PyTuple_New(0); - else if (PyTuple_Check(value)) { - Py_INCREF(value); - args = value; - } else - args = PyTuple_Pack(1, value); - if (!args) - goto bad; - owned_instance = PyObject_Call(type, args, NULL); - Py_DECREF(args); - if (!owned_instance) - goto bad; - value = owned_instance; - if (!PyExceptionInstance_Check(value)) { - PyErr_Format(PyExc_TypeError, - "calling %R should have returned an instance of " - "BaseException, not %R", - type, Py_TYPE(value)); - goto bad; - } - } - } else { - PyErr_SetString(PyExc_TypeError, - "raise: exception class must be a subclass of BaseException"); - goto bad; - } -#if PY_VERSION_HEX >= 0x03030000 - if (cause) { -#else - if (cause && cause != Py_None) { -#endif - PyObject *fixed_cause; - if (cause == Py_None) { - fixed_cause = NULL; - } else if (PyExceptionClass_Check(cause)) { - fixed_cause = PyObject_CallObject(cause, NULL); - if (fixed_cause == NULL) - goto bad; - } else if (PyExceptionInstance_Check(cause)) { - fixed_cause = cause; - Py_INCREF(fixed_cause); - } else { - PyErr_SetString(PyExc_TypeError, - "exception causes must derive from " - "BaseException"); - goto bad; - } - PyException_SetCause(value, fixed_cause); - } - PyErr_SetObject(type, value); - if (tb) { - PyThreadState *tstate = PyThreadState_GET(); - PyObject* tmp_tb = tstate->curexc_traceback; - if (tb != tmp_tb) { - Py_INCREF(tb); - tstate->curexc_traceback = tb; - Py_XDECREF(tmp_tb); - } - } -bad: - Py_XDECREF(owned_instance); - return; -} -#endif - -static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { - PyErr_Format(PyExc_ValueError, - "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); -} - -static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { - PyErr_Format(PyExc_ValueError, - "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", - index, (index == 1) ? "" : "s"); -} - -static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { - PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); -} - -static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { - int start = 0, mid = 0, end = count - 1; - if (end >= 0 && code_line > entries[end].code_line) { - return count; - } - while (start < end) { - mid = (start + end) / 2; - if (code_line < entries[mid].code_line) { - end = mid; - } else if (code_line > entries[mid].code_line) { - start = mid + 1; - } else { - return mid; - } - } - if (code_line <= entries[mid].code_line) { - return mid; - } else { - return mid + 1; - } -} -static PyCodeObject *__pyx_find_code_object(int code_line) { - PyCodeObject* code_object; - int pos; - if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { - return NULL; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { - return NULL; - } - code_object = __pyx_code_cache.entries[pos].code_object; - Py_INCREF(code_object); - return code_object; -} -static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { - int pos, i; - __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; - if (unlikely(!code_line)) { - return; - } - if (unlikely(!entries)) { - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); - if (likely(entries)) { - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = 64; - __pyx_code_cache.count = 1; - entries[0].code_line = code_line; - entries[0].code_object = code_object; - Py_INCREF(code_object); - } - return; - } - pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); - if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { - PyCodeObject* tmp = entries[pos].code_object; - entries[pos].code_object = code_object; - Py_DECREF(tmp); - return; - } - if (__pyx_code_cache.count == __pyx_code_cache.max_count) { - int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #else - py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); - #endif - } - else { - #if PY_MAJOR_VERSION < 3 - py_funcname = PyString_FromString(funcname); - #else - py_funcname = PyUnicode_FromString(funcname); - #endif - } - if (!py_funcname) goto bad; - py_code = __Pyx_PyCode_New( - 0, - 0, - 0, - 0, - 0, - __pyx_empty_bytes, /*PyObject *code,*/ - __pyx_empty_tuple, /*PyObject *consts,*/ - __pyx_empty_tuple, /*PyObject *names,*/ - __pyx_empty_tuple, /*PyObject *varnames,*/ - __pyx_empty_tuple, /*PyObject *freevars,*/ - __pyx_empty_tuple, /*PyObject *cellvars,*/ - py_srcfile, /*PyObject *filename,*/ - py_funcname, /*PyObject *name,*/ - py_line, - __pyx_empty_bytes /*PyObject *lnotab*/ - ); - Py_DECREF(py_srcfile); - Py_DECREF(py_funcname); - return py_code; -bad: - Py_XDECREF(py_srcfile); - Py_XDECREF(py_funcname); - return NULL; -} -static void __Pyx_AddTraceback(const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyFrameObject *py_frame = 0; - py_code = __pyx_find_code_object(c_line ? c_line : py_line); - if (!py_code) { - py_code = __Pyx_CreateCodeObjectForTraceback( - funcname, c_line, py_line, filename); - if (!py_code) goto bad; - __pyx_insert_code_object(c_line ? c_line : py_line, py_code); - } - py_frame = PyFrame_New( - PyThreadState_GET(), /*PyThreadState *tstate,*/ - py_code, /*PyCodeObject *code,*/ - __pyx_d, /*PyObject *globals,*/ - 0 /*PyObject *locals*/ - ); - if (!py_frame) goto bad; - py_frame->f_lineno = py_line; - PyTraceBack_Here(py_frame); -bad: - Py_XDECREF(py_code); - Py_XDECREF(py_frame); -} - -#if PY_MAJOR_VERSION < 3 -static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { - if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); - PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); - return -1; -} -static void __Pyx_ReleaseBuffer(Py_buffer *view) { - PyObject *obj = view->obj; - if (!obj) return; - if (PyObject_CheckBuffer(obj)) { - PyBuffer_Release(view); - return; - } - if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; } - Py_DECREF(obj); - view->obj = NULL; -} -#endif - - - static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { - PyObject *empty_list = 0; - PyObject *module = 0; - PyObject *global_dict = 0; - PyObject *empty_dict = 0; - PyObject *list; - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_import; - py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); - if (!py_import) - goto bad; - #endif - if (from_list) - list = from_list; - else { - empty_list = PyList_New(0); - if (!empty_list) - goto bad; - list = empty_list; - } - global_dict = PyModule_GetDict(__pyx_m); - if (!global_dict) - goto bad; - empty_dict = PyDict_New(); - if (!empty_dict) - goto bad; - { - #if PY_MAJOR_VERSION >= 3 - if (level == -1) { - if (strchr(__Pyx_MODULE_NAME, '.')) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(1); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, 1); - #endif - if (!module) { - if (!PyErr_ExceptionMatches(PyExc_ImportError)) - goto bad; - PyErr_Clear(); - } - } - level = 0; - } - #endif - if (!module) { - #if PY_VERSION_HEX < 0x03030000 - PyObject *py_level = PyInt_FromLong(level); - if (!py_level) - goto bad; - module = PyObject_CallFunctionObjArgs(py_import, - name, global_dict, empty_dict, list, py_level, NULL); - Py_DECREF(py_level); - #else - module = PyImport_ImportModuleLevelObject( - name, global_dict, empty_dict, list, level); - #endif - } - } -bad: - #if PY_VERSION_HEX < 0x03030000 - Py_XDECREF(py_import); - #endif - Py_XDECREF(empty_list); - Py_XDECREF(empty_dict); - return module; -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value) \ - { \ - func_type value = func_value; \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - if (is_unsigned && unlikely(value < zero)) \ - goto raise_neg_overflow; \ - else \ - goto raise_overflow; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif - -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(int) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x)) - } else if (sizeof(int) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to int"); - return (int) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(int) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(int) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(int), - little, !is_unsigned); - } -} - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return ::std::complex< float >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - return x + y*(__pyx_t_float_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { - __pyx_t_float_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { - __pyx_t_float_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrtf(z.real*z.real + z.imag*z.imag); - #else - return hypotf(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) { - __pyx_t_float_complex z; - float r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - float denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(a, a); - case 3: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, a); - case 4: - z = __Pyx_c_prodf(a, a); - return __Pyx_c_prodf(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_absf(a); - theta = atan2f(a.imag, a.real); - } - lnr = logf(r); - z_r = expf(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cosf(z_theta); - z.imag = z_r * sinf(z_theta); - return z; - } - #endif -#endif - -#if CYTHON_CCOMPLEX - #ifdef __cplusplus - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return ::std::complex< double >(x, y); - } - #else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - return x + y*(__pyx_t_double_complex)_Complex_I; - } - #endif -#else - static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { - __pyx_t_double_complex z; - z.real = x; - z.imag = y; - return z; - } -#endif - -#if CYTHON_CCOMPLEX -#else - static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { - return (a.real == b.real) && (a.imag == b.imag); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real + b.real; - z.imag = a.imag + b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real - b.real; - z.imag = a.imag - b.imag; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - z.real = a.real * b.real - a.imag * b.imag; - z.imag = a.real * b.imag + a.imag * b.real; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double denom = b.real * b.real + b.imag * b.imag; - z.real = (a.real * b.real + a.imag * b.imag) / denom; - z.imag = (a.imag * b.real - a.real * b.imag) / denom; - return z; - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = -a.real; - z.imag = -a.imag; - return z; - } - static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { - return (a.real == 0) && (a.imag == 0); - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { - __pyx_t_double_complex z; - z.real = a.real; - z.imag = -a.imag; - return z; - } - #if 1 - static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { - #if !defined(HAVE_HYPOT) || defined(_MSC_VER) - return sqrt(z.real*z.real + z.imag*z.imag); - #else - return hypot(z.real, z.imag); - #endif - } - static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) { - __pyx_t_double_complex z; - double r, lnr, theta, z_r, z_theta; - if (b.imag == 0 && b.real == (int)b.real) { - if (b.real < 0) { - double denom = a.real * a.real + a.imag * a.imag; - a.real = a.real / denom; - a.imag = -a.imag / denom; - b.real = -b.real; - } - switch ((int)b.real) { - case 0: - z.real = 1; - z.imag = 0; - return z; - case 1: - return a; - case 2: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(a, a); - case 3: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, a); - case 4: - z = __Pyx_c_prod(a, a); - return __Pyx_c_prod(z, z); - } - } - if (a.imag == 0) { - if (a.real == 0) { - return a; - } - r = a.real; - theta = 0; - } else { - r = __Pyx_c_abs(a); - theta = atan2(a.imag, a.real); - } - lnr = log(r); - z_r = exp(lnr * b.real - theta * b.imag); - z_theta = theta * b.real + lnr * b.imag; - z.real = z_r * cos(z_theta); - z.imag = z_r * sin(z_theta); - return z; - } - #endif -#endif - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(long) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(long) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x)) - } else if (sizeof(long) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to long"); - return (long) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - return PyErr_WarnEx(NULL, message, 1); - } - return 0; -} - -#ifndef __PYX_HAVE_RT_ImportModule -#define __PYX_HAVE_RT_ImportModule -static PyObject *__Pyx_ImportModule(const char *name) { - PyObject *py_name = 0; - PyObject *py_module = 0; - py_name = __Pyx_PyIdentifier_FromString(name); - if (!py_name) - goto bad; - py_module = PyImport_Import(py_name); - Py_DECREF(py_name); - return py_module; -bad: - Py_XDECREF(py_name); - return 0; -} -#endif - -#ifndef __PYX_HAVE_RT_ImportType -#define __PYX_HAVE_RT_ImportType -static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, - size_t size, int strict) -{ - PyObject *py_module = 0; - PyObject *result = 0; - PyObject *py_name = 0; - char warning[200]; - Py_ssize_t basicsize; -#ifdef Py_LIMITED_API - PyObject *py_basicsize; -#endif - py_module = __Pyx_ImportModule(module_name); - if (!py_module) - goto bad; - py_name = __Pyx_PyIdentifier_FromString(class_name); - if (!py_name) - goto bad; - result = PyObject_GetAttr(py_module, py_name); - Py_DECREF(py_name); - py_name = 0; - Py_DECREF(py_module); - py_module = 0; - if (!result) - goto bad; - if (!PyType_Check(result)) { - PyErr_Format(PyExc_TypeError, - "%.200s.%.200s is not a type object", - module_name, class_name); - goto bad; - } -#ifndef Py_LIMITED_API - basicsize = ((PyTypeObject *)result)->tp_basicsize; -#else - py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); - if (!py_basicsize) - goto bad; - basicsize = PyLong_AsSsize_t(py_basicsize); - Py_DECREF(py_basicsize); - py_basicsize = 0; - if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) - goto bad; -#endif - if (!strict && (size_t)basicsize > size) { - PyOS_snprintf(warning, sizeof(warning), - "%s.%s size changed, may indicate binary incompatibility", - module_name, class_name); - if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad; - } - else if ((size_t)basicsize != size) { - PyErr_Format(PyExc_ValueError, - "%.200s.%.200s has the wrong size, try recompiling", - module_name, class_name); - goto bad; - } - return (PyTypeObject *)result; -bad: - Py_XDECREF(py_module); - Py_XDECREF(result); - return NULL; -} -#endif - -static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) { - while (t->p) { - #if PY_MAJOR_VERSION < 3 - if (t->is_unicode) { - *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); - } else if (t->intern) { - *t->p = PyString_InternFromString(t->s); - } else { - *t->p = PyString_FromStringAndSize(t->s, t->n - 1); - } - #else - if (t->is_unicode | t->is_str) { - if (t->intern) { - *t->p = PyUnicode_InternFromString(t->s); - } else if (t->encoding) { - *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); - } else { - *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); - } - } else { - *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); - } - #endif - if (!*t->p) - return -1; - ++t; - } - return 0; -} - -static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) { - return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str)); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) { - Py_ssize_t ignore; - return __Pyx_PyObject_AsStringAndSize(o, &ignore); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT - if ( -#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - __Pyx_sys_getdefaultencoding_not_ascii && -#endif - PyUnicode_Check(o)) { -#if PY_VERSION_HEX < 0x03030000 - char* defenc_c; - PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL); - if (!defenc) return NULL; - defenc_c = PyBytes_AS_STRING(defenc); -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - { - char* end = defenc_c + PyBytes_GET_SIZE(defenc); - char* c; - for (c = defenc_c; c < end; c++) { - if ((unsigned char) (*c) >= 128) { - PyUnicode_AsASCIIString(o); - return NULL; - } - } - } -#endif - *length = PyBytes_GET_SIZE(defenc); - return defenc_c; -#else - if (__Pyx_PyUnicode_READY(o) == -1) return NULL; -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - if (PyUnicode_IS_ASCII(o)) { - *length = PyUnicode_GET_LENGTH(o); - return PyUnicode_AsUTF8(o); - } else { - PyUnicode_AsASCIIString(o); - return NULL; - } -#else - return PyUnicode_AsUTF8AndSize(o, length); -#endif -#endif - } else -#endif -#if !CYTHON_COMPILING_IN_PYPY - if (PyByteArray_Check(o)) { - *length = PyByteArray_GET_SIZE(o); - return PyByteArray_AS_STRING(o); - } else -#endif - { - char* result; - int r = PyBytes_AsStringAndSize(o, &result, length); - if (unlikely(r < 0)) { - return NULL; - } else { - return result; - } - } -} -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { - int is_true = x == Py_True; - if (is_true | (x == Py_False) | (x == Py_None)) return is_true; - else return PyObject_IsTrue(x); -} -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) { - PyNumberMethods *m; - const char *name = NULL; - PyObject *res = NULL; -#if PY_MAJOR_VERSION < 3 - if (PyInt_Check(x) || PyLong_Check(x)) -#else - if (PyLong_Check(x)) -#endif - return Py_INCREF(x), x; - m = Py_TYPE(x)->tp_as_number; -#if PY_MAJOR_VERSION < 3 - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Int(x); - } - else if (m && m->nb_long) { - name = "long"; - res = PyNumber_Long(x); - } -#else - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Long(x); - } -#endif - if (res) { -#if PY_MAJOR_VERSION < 3 - if (!PyInt_Check(res) && !PyLong_Check(res)) { -#else - if (!PyLong_Check(res)) { -#endif - PyErr_Format(PyExc_TypeError, - "__%.4s__ returned non-%.4s (type %.200s)", - name, name, Py_TYPE(res)->tp_name); - Py_DECREF(res); - return NULL; - } - } - else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_TypeError, - "an integer is required"); - } - return res; -} -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { - Py_ssize_t ival; - PyObject *x; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_CheckExact(b))) - return PyInt_AS_LONG(b); -#endif - if (likely(PyLong_CheckExact(b))) { - #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(b)) { - case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0]; - case 0: return 0; - case 1: return ((PyLongObject*)b)->ob_digit[0]; - } - #endif - #endif - return PyLong_AsSsize_t(b); - } - x = PyNumber_Index(b); - if (!x) return -1; - ival = PyInt_AsSsize_t(x); - Py_DECREF(x); - return ival; -} -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { - return PyInt_FromSize_t(ival); -} - - -#endif /* Py_PYTHON_H */ diff --git a/develop/gpu/magma_solver.pyx b/develop/gpu/magma_solver.pyx deleted file mode 100644 index deeb328..0000000 --- a/develop/gpu/magma_solver.pyx +++ /dev/null @@ -1,82 +0,0 @@ -# distutils: language = c++ -# distutils: sources = Rectangle.cpp - -""" -Created on Thu Mar 19 16:55:19 2015 - -@author: akusok -""" - -import cython - -import numpy as np -cimport numpy as np - -#cdef extern void gpu_solve (int n, int nrhs, double* A, double* B, double* X) - -cdef extern from "gpu_solver.h": - cdef cppclass GpuSolver: - GpuSolver( int, int ) except + - void add_data( int m, double* X, double* T ) - void solve( double* X ) - - -cdef class GPUSolver: - - cdef GpuSolver *solverptr - cdef int n, nrhs - - def __init__(self, nn, outs): - self.n = nn - self.nrhs = outs - self.solverptr = new GpuSolver( self.n, self.nrhs ) - - def __del__(self): - del self.solver - - def add_data(self, - np.ndarray[double, ndim=2, mode="c"] X not None, - np.ndarray[double, ndim=2, mode="c"] T not None): - cdef int m = X.shape[0] - # seems to require Fortran ordering but in "c" mode - T = T.T.reshape(m, self.nrhs).copy() - X = X.T.reshape(m, self.n).copy() - self.solverptr.add_data( m, &X[0,0], &T[0,0] ) - - #def solve(self, - # np.ndarray[double, ndim=2, mode="c"] B not None): - def solve(self): - cdef np.ndarray[double, ndim=2, mode="c"] B = np.empty((self.nrhs, self.n)) - self.solverptr.solve( &B[0,0] ); - return B.T # transpose back - - - - - - - - - - - -#def solve(np.ndarray[double, ndim=2, mode="c"] X not None, -# np.ndarray[double, ndim=2, mode="c"] T not None, -# np.ndarray[double, ndim=2, mode="c"] B not None): -# cdef int n = T.shape[0] -# cdef int nrhs = T.shape[1] - -# T = T.T.reshape(n,nrhs) # transpose and cast to 'c' ordering -# gpu_solve(n, nrhs, &X[0,0], &T[0,0], &B[0,0]) -# return B.reshape(nrhs,n).T # transpose - - - - - - - - - - - diff --git a/develop/gpu/setup_gpu.py b/develop/gpu/setup_gpu.py deleted file mode 100755 index b31dba6..0000000 --- a/develop/gpu/setup_gpu.py +++ /dev/null @@ -1,76 +0,0 @@ -#!/usr/bin/env python -from distutils.core import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext - -import commands -import numpy - - -def pkgconfig(*packages, **kw): - """Returns nicely organized stuff from PKGCONFIG. - - Found on the internet, returns a dictionary with - libraries, library dirs, include dirs, extra arguments - - To test, run in terminal: "pkg-config --libs --cflags magma" - - To add "magma" to pkg-config: - export PKG_CONFIG_PATH=$PKG_CONFIG_PATH:/usr/local/magma/lib/pkgconfig - use your own path to installed magma + lib/pkgconfig - """ - flag_map = {'-I': 'include_dirs', '-L': 'library_dirs', '-l': 'libraries'} - for token in commands.getoutput("pkg-config --libs --cflags %s" % ' '.join(packages)).split(): - if token[:2] in flag_map: - kw.setdefault(flag_map.get(token[:2]), []).append(token[2:]) - else: - kw.setdefault('extra_compile_args', []).append(token) - return kw - - -setup(cmdclass={'build_ext': build_ext}, - ext_modules=[ - Extension( - "magma_solver", - sources=["magma_solver.pyx", - "gpu_solver.cpp"], - language="c++", - extra_compile_args=pkgconfig("magma")["extra_compile_args"], - include_dirs=[numpy.get_include()] + pkgconfig("magma")["include_dirs"], - libraries=pkgconfig("magma")["libraries"], - library_dirs=pkgconfig("magma")["library_dirs"]) - ] - ) - - - -""" -setup(cmdclass = {'build_ext': build_ext}, - ext_modules = [ - Extension("magma_solver", - sources = ["magma_solver.pyx", "gpu_solver.cpp"], - language="c++", - extra_compile_args=["-DADD_ -DHAVE_CUBLAS"], - include_dirs = [numpy.get_include(), - "/usr/local/magma/include", - "/usr/local/cuda-6.5/include", - "/opt/intel/composerxe/mkl/include"], - libraries = ["magma", - "mkl_intel_lp64", - "mkl_intel_thread", - "mkl_core", - "iomp5", - "pthread", - "cublas", - "cudart", - "stdc++", - "gfortran", - "m"], - library_dirs = ["/usr/local/magma/lib", - "/opt/intel/composerxe/mkl/lib/intel64", - "/usr/local/cuda-6.5/lib64", - "/opt/intel/composerxe/lib/intel64"] - ) - ] -) -""" \ No newline at end of file diff --git a/develop/gpu/test.py b/develop/gpu/test.py deleted file mode 100644 index 500727e..0000000 --- a/develop/gpu/test.py +++ /dev/null @@ -1,61 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Mar 20 14:27:13 2015 - -@author: akusok -""" - -from magma_solver import GPUSolver -import numpy as np -import sys -from time import time - - -@profile -def s_cpu(data, n, nrhs): - XX = np.zeros((n,n)) - XT = np.zeros((n,nrhs)) - for X,T in data: - t = time() - XX = XX + X.T.dot(X) - XT = XT + X.T.dot(T) - print "added batch in %.2fs" % (time()-t) - t = time() - P = np.linalg.inv(XX) - print "solution in %.2fs" % (time()-t) - Beta = P.dot(XT) - return Beta - - -@profile -def s_gpu(data, n, nrhs): - s = GPUSolver(n, nrhs) - for X,T in data: - s.add_data(X, T) - B = s.solve() - return B - - -@profile -def try1(): - n = int(sys.argv[1]) - nrhs = int(sys.argv[2]) - k = int(sys.argv[3]) - - data = [] - for _ in range(k): - n1 = int(n*0.7) - X = np.random.rand(n1,n).astype(np.float64) - T = np.random.rand(n1,nrhs).astype(np.float64) - data.append((X,T)) - - B = s_gpu(data, n, nrhs) - Beta = s_cpu(data, n, nrhs) - - print np.linalg.norm(B - Beta) - - - - -try1() -print "Works!" diff --git a/develop/gpu/test.py.lprof b/develop/gpu/test.py.lprof deleted file mode 100644 index 91b587c..0000000 Binary files a/develop/gpu/test.py.lprof and /dev/null differ diff --git a/develop/gpu/tryconfig.py b/develop/gpu/tryconfig.py deleted file mode 100644 index 2a5b5d6..0000000 --- a/develop/gpu/tryconfig.py +++ /dev/null @@ -1,20 +0,0 @@ -#!/usr/bin/env python - - -from distutils.core import setup -from distutils.extension import Extension -import commands - - -def pkgconfig(*packages, **kw): - flag_map = {'-I': 'include_dirs', '-L': 'library_dirs', '-l': 'libraries'} - for token in commands.getoutput("pkg-config --libs --cflags %s" % ' '.join(packages)).split(): - if token[:2] in flag_map: - kw.setdefault(flag_map.get(token[:2]), []).append(token[2:]) - else: - kw.setdefault('extra_compile_args', []).append(token) - return kw - - -print pkgconfig("magma") - \ No newline at end of file diff --git a/develop/gpu_cpp/Rectangle.cpp b/develop/gpu_cpp/Rectangle.cpp deleted file mode 100644 index bb5811b..0000000 --- a/develop/gpu_cpp/Rectangle.cpp +++ /dev/null @@ -1,38 +0,0 @@ -#include "Rectangle.h" - -using namespace shapes; - -Rectangle::Rectangle(int X0, int Y0, int X1, int Y1) -{ - x0 = X0; - y0 = Y0; - x1 = X1; - y1 = Y1; -} - -Rectangle::~Rectangle() -{ -} - -int Rectangle::getLength() -{ - return (x1 - x0); -} - -int Rectangle::getHeight() -{ - return (y1 - y0); -} - -int Rectangle::getArea() -{ - return (x1 - x0) * (y1 - y0); -} - -void Rectangle::move(int dx, int dy) -{ - x0 += dx; - y0 += dy; - x1 += dx; - y1 += dy; -} diff --git a/develop/gpu_cpp/Rectangle.h b/develop/gpu_cpp/Rectangle.h deleted file mode 100644 index 2ac1489..0000000 --- a/develop/gpu_cpp/Rectangle.h +++ /dev/null @@ -1,13 +0,0 @@ -namespace shapes { - class Rectangle { - public: - int x0, y0, x1, y1; - Rectangle(int x0, int y0, int x1, int y1); - ~Rectangle(); - int getLength(); - int getHeight(); - int getArea(); - void move(int dx, int dy); - }; -} - diff --git a/develop/gpu_cpp/build/temp.linux-x86_64-2.7/Rectangle.o b/develop/gpu_cpp/build/temp.linux-x86_64-2.7/Rectangle.o deleted file mode 100644 index ab2db22..0000000 Binary files a/develop/gpu_cpp/build/temp.linux-x86_64-2.7/Rectangle.o and /dev/null differ diff --git a/develop/gpu_cpp/build/temp.linux-x86_64-2.7/rect.o b/develop/gpu_cpp/build/temp.linux-x86_64-2.7/rect.o deleted file mode 100644 index 23bfc24..0000000 Binary files a/develop/gpu_cpp/build/temp.linux-x86_64-2.7/rect.o and /dev/null differ diff --git a/develop/gpu_cpp/rect.cpp b/develop/gpu_cpp/rect.cpp deleted file mode 100644 index e78c499..0000000 --- a/develop/gpu_cpp/rect.cpp +++ /dev/null @@ -1,1859 +0,0 @@ -/* Generated by Cython 0.21 */ - -#define PY_SSIZE_T_CLEAN -#ifndef CYTHON_USE_PYLONG_INTERNALS -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 0 -#else -#include "pyconfig.h" -#ifdef PYLONG_BITS_IN_DIGIT -#define CYTHON_USE_PYLONG_INTERNALS 1 -#else -#define CYTHON_USE_PYLONG_INTERNALS 0 -#endif -#endif -#endif -#include "Python.h" -#ifndef Py_PYTHON_H - 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int new_max = __pyx_code_cache.max_count + 64; - entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( - __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); - if (unlikely(!entries)) { - return; - } - __pyx_code_cache.entries = entries; - __pyx_code_cache.max_count = new_max; - } - for (i=__pyx_code_cache.count; i>pos; i--) { - entries[i] = entries[i-1]; - } - entries[pos].code_line = code_line; - entries[pos].code_object = code_object; - __pyx_code_cache.count++; - Py_INCREF(code_object); -} - -#include "compile.h" -#include "frameobject.h" -#include "traceback.h" -static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( - const char *funcname, int c_line, - int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyObject *py_srcfile = 0; - PyObject *py_funcname = 0; - #if PY_MAJOR_VERSION < 3 - py_srcfile = PyString_FromString(filename); - #else - py_srcfile = PyUnicode_FromString(filename); - #endif - if (!py_srcfile) goto bad; - if (c_line) { - 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int py_line, const char *filename) { - PyCodeObject *py_code = 0; - PyFrameObject *py_frame = 0; - py_code = __pyx_find_code_object(c_line ? c_line : py_line); - if (!py_code) { - py_code = __Pyx_CreateCodeObjectForTraceback( - funcname, c_line, py_line, filename); - if (!py_code) goto bad; - __pyx_insert_code_object(c_line ? c_line : py_line, py_code); - } - py_frame = PyFrame_New( - PyThreadState_GET(), /*PyThreadState *tstate,*/ - py_code, /*PyCodeObject *code,*/ - __pyx_d, /*PyObject *globals,*/ - 0 /*PyObject *locals*/ - ); - if (!py_frame) goto bad; - py_frame->f_lineno = py_line; - PyTraceBack_Here(py_frame); -bad: - Py_XDECREF(py_code); - Py_XDECREF(py_frame); -} - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(int) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(int) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - 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if (PyFile_WriteString(" ", f) < 0) - goto error; - } - v = PyTuple_GET_ITEM(arg_tuple, i); - if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0) - goto error; - if (PyString_Check(v)) { - char *s = PyString_AsString(v); - Py_ssize_t len = PyString_Size(v); - if (len > 0) { - switch (s[len-1]) { - case ' ': break; - case '\f': case '\r': case '\n': case '\t': case '\v': - PyFile_SoftSpace(f, 0); - break; - default: break; - } - } - } - } - if (newline) { - if (PyFile_WriteString("\n", f) < 0) - goto error; - PyFile_SoftSpace(f, 0); - } - Py_DECREF(f); - return 0; -error: - Py_DECREF(f); - return -1; -} -#else -static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) { - PyObject* kwargs = 0; - PyObject* result = 0; - PyObject* end_string; - if (unlikely(!__pyx_print)) { - __pyx_print = PyObject_GetAttr(__pyx_b, __pyx_n_s_print); - if (!__pyx_print) - return -1; - } - if (stream) { - kwargs = PyDict_New(); - if (unlikely(!kwargs)) - return -1; - if (unlikely(PyDict_SetItem(kwargs, __pyx_n_s_file, stream) < 0)) - goto bad; - if (!newline) { - end_string = PyUnicode_FromStringAndSize(" ", 1); - if (unlikely(!end_string)) - goto bad; - if (PyDict_SetItem(kwargs, __pyx_n_s_end, end_string) < 0) { - Py_DECREF(end_string); - goto bad; - } - Py_DECREF(end_string); - } - } else if (!newline) { - if (unlikely(!__pyx_print_kwargs)) { - __pyx_print_kwargs = PyDict_New(); - if (unlikely(!__pyx_print_kwargs)) - return -1; - end_string = PyUnicode_FromStringAndSize(" ", 1); - if (unlikely(!end_string)) - return -1; - if (PyDict_SetItem(__pyx_print_kwargs, __pyx_n_s_end, end_string) < 0) { - Py_DECREF(end_string); - return -1; - } - Py_DECREF(end_string); - } - kwargs = __pyx_print_kwargs; - } - result = PyObject_Call(__pyx_print, arg_tuple, kwargs); - if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs)) - Py_DECREF(kwargs); - if (!result) - return -1; - Py_DECREF(result); - return 0; -bad: - if (kwargs != __pyx_print_kwargs) - Py_XDECREF(kwargs); - return -1; -} -#endif - -#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3 -static int __Pyx_PrintOne(PyObject* f, PyObject *o) { - if (!f) { - if (!(f = __Pyx_GetStdout())) - return -1; - } - Py_INCREF(f); - if (PyFile_SoftSpace(f, 0)) { - if (PyFile_WriteString(" ", f) < 0) - goto error; - } - if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0) - goto error; - if (PyFile_WriteString("\n", f) < 0) - goto error; - Py_DECREF(f); - return 0; -error: - Py_DECREF(f); - return -1; - /* the line below is just to avoid C compiler - * warnings about unused functions */ - return __Pyx_Print(f, NULL, 0); -} -#else -static int __Pyx_PrintOne(PyObject* stream, PyObject *o) { - int res; - PyObject* arg_tuple = PyTuple_Pack(1, o); - if (unlikely(!arg_tuple)) - return -1; - res = __Pyx_Print(stream, arg_tuple, 1); - Py_DECREF(arg_tuple); - return res; -} -#endif - -static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; - if (is_unsigned) { - if (sizeof(long) < sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(unsigned long)) { - return PyLong_FromUnsignedLong((unsigned long) value); - } else if (sizeof(long) <= sizeof(unsigned long long)) { - return PyLong_FromUnsignedLongLong((unsigned long long) value); - } - } else { - if (sizeof(long) <= sizeof(long)) { - return PyInt_FromLong((long) value); - } else if (sizeof(long) <= sizeof(long long)) { - return PyLong_FromLongLong((long long) value); - } - } - { - int one = 1; int little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&value; - return _PyLong_FromByteArray(bytes, sizeof(long), - little, !is_unsigned); - } -} - -#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value) \ - { \ - func_type value = func_value; \ - if (sizeof(target_type) < sizeof(func_type)) { \ - if (unlikely(value != (func_type) (target_type) value)) { \ - func_type zero = 0; \ - if (is_unsigned && unlikely(value < zero)) \ - goto raise_neg_overflow; \ - else \ - goto raise_overflow; \ - } \ - } \ - return (target_type) value; \ - } - -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - #include "longintrepr.h" - #endif -#endif - -static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { - const long neg_one = (long) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(long) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (long) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(long) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(long) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(long, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(long) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x)) - } else if (sizeof(long) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - long val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (long) -1; - } - } else { - long val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (long) -1; - val = __Pyx_PyInt_As_long(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to long"); - return (long) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to long"); - return (long) -1; -} - -static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { - const int neg_one = (int) -1, const_zero = 0; - const int is_unsigned = neg_one > const_zero; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_Check(x))) { - if (sizeof(int) < sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) - } else { - long val = PyInt_AS_LONG(x); - if (is_unsigned && unlikely(val < 0)) { - goto raise_neg_overflow; - } - return (int) val; - } - } else -#endif - if (likely(PyLong_Check(x))) { - if (is_unsigned) { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (unlikely(Py_SIZE(x) < 0)) { - goto raise_neg_overflow; - } - if (sizeof(int) <= sizeof(unsigned long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x)) - } else if (sizeof(int) <= sizeof(unsigned long long)) { - __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong(x)) - } - } else { -#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(x)) { - case 0: return 0; - case 1: __PYX_VERIFY_RETURN_INT(int, digit, +(((PyLongObject*)x)->ob_digit[0])); - case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]); - } - #endif -#endif - if (sizeof(int) <= sizeof(long)) { - __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x)) - } else if (sizeof(int) <= sizeof(long long)) { - __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong(x)) - } - } - { -#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) - PyErr_SetString(PyExc_RuntimeError, - "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); -#else - int val; - PyObject *v = __Pyx_PyNumber_Int(x); - #if PY_MAJOR_VERSION < 3 - if (likely(v) && !PyLong_Check(v)) { - PyObject *tmp = v; - v = PyNumber_Long(tmp); - Py_DECREF(tmp); - } - #endif - if (likely(v)) { - int one = 1; int is_little = (int)*(unsigned char *)&one; - unsigned char *bytes = (unsigned char *)&val; - int ret = _PyLong_AsByteArray((PyLongObject *)v, - bytes, sizeof(val), - is_little, !is_unsigned); - Py_DECREF(v); - if (likely(!ret)) - return val; - } -#endif - return (int) -1; - } - } else { - int val; - PyObject *tmp = __Pyx_PyNumber_Int(x); - if (!tmp) return (int) -1; - val = __Pyx_PyInt_As_int(tmp); - Py_DECREF(tmp); - return val; - } -raise_overflow: - PyErr_SetString(PyExc_OverflowError, - "value too large to convert to int"); - return (int) -1; -raise_neg_overflow: - PyErr_SetString(PyExc_OverflowError, - "can't convert negative value to int"); - return (int) -1; -} - -static int __Pyx_check_binary_version(void) { - char ctversion[4], rtversion[4]; - PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION); - PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion()); - if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) { - char message[200]; - PyOS_snprintf(message, sizeof(message), - "compiletime version %s of module '%.100s' " - "does not match runtime version %s", - ctversion, __Pyx_MODULE_NAME, rtversion); - return PyErr_WarnEx(NULL, message, 1); - } - return 0; -} - -static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) { - while (t->p) { - #if PY_MAJOR_VERSION < 3 - if (t->is_unicode) { - *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); - } else if (t->intern) { - *t->p = PyString_InternFromString(t->s); - } else { - *t->p = PyString_FromStringAndSize(t->s, t->n - 1); - } - #else - if (t->is_unicode | t->is_str) { - if (t->intern) { - *t->p = PyUnicode_InternFromString(t->s); - } else if (t->encoding) { - *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); - } else { - *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); - } - } else { - *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); - } - #endif - if (!*t->p) - return -1; - ++t; - } - return 0; -} - -static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) { - return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str)); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) { - Py_ssize_t ignore; - return __Pyx_PyObject_AsStringAndSize(o, &ignore); -} -static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT - if ( -#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - __Pyx_sys_getdefaultencoding_not_ascii && -#endif - PyUnicode_Check(o)) { -#if PY_VERSION_HEX < 0x03030000 - char* defenc_c; - PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL); - if (!defenc) return NULL; - defenc_c = PyBytes_AS_STRING(defenc); -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - { - char* end = defenc_c + PyBytes_GET_SIZE(defenc); - char* c; - for (c = defenc_c; c < end; c++) { - if ((unsigned char) (*c) >= 128) { - PyUnicode_AsASCIIString(o); - return NULL; - } - } - } -#endif - *length = PyBytes_GET_SIZE(defenc); - return defenc_c; -#else - if (__Pyx_PyUnicode_READY(o) == -1) return NULL; -#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII - if (PyUnicode_IS_ASCII(o)) { - *length = PyUnicode_GET_LENGTH(o); - return PyUnicode_AsUTF8(o); - } else { - PyUnicode_AsASCIIString(o); - return NULL; - } -#else - return PyUnicode_AsUTF8AndSize(o, length); -#endif -#endif - } else -#endif -#if !CYTHON_COMPILING_IN_PYPY - if (PyByteArray_Check(o)) { - *length = PyByteArray_GET_SIZE(o); - return PyByteArray_AS_STRING(o); - } else -#endif - { - char* result; - int r = PyBytes_AsStringAndSize(o, &result, length); - if (unlikely(r < 0)) { - return NULL; - } else { - return result; - } - } -} -static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { - int is_true = x == Py_True; - if (is_true | (x == Py_False) | (x == Py_None)) return is_true; - else return PyObject_IsTrue(x); -} -static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) { - PyNumberMethods *m; - const char *name = NULL; - PyObject *res = NULL; -#if PY_MAJOR_VERSION < 3 - if (PyInt_Check(x) || PyLong_Check(x)) -#else - if (PyLong_Check(x)) -#endif - return Py_INCREF(x), x; - m = Py_TYPE(x)->tp_as_number; -#if PY_MAJOR_VERSION < 3 - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Int(x); - } - else if (m && m->nb_long) { - name = "long"; - res = PyNumber_Long(x); - } -#else - if (m && m->nb_int) { - name = "int"; - res = PyNumber_Long(x); - } -#endif - if (res) { -#if PY_MAJOR_VERSION < 3 - if (!PyInt_Check(res) && !PyLong_Check(res)) { -#else - if (!PyLong_Check(res)) { -#endif - PyErr_Format(PyExc_TypeError, - "__%.4s__ returned non-%.4s (type %.200s)", - name, name, Py_TYPE(res)->tp_name); - Py_DECREF(res); - return NULL; - } - } - else if (!PyErr_Occurred()) { - PyErr_SetString(PyExc_TypeError, - "an integer is required"); - } - return res; -} -static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { - Py_ssize_t ival; - PyObject *x; -#if PY_MAJOR_VERSION < 3 - if (likely(PyInt_CheckExact(b))) - return PyInt_AS_LONG(b); -#endif - if (likely(PyLong_CheckExact(b))) { - #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3 - #if CYTHON_USE_PYLONG_INTERNALS - switch (Py_SIZE(b)) { - case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0]; - case 0: return 0; - case 1: return ((PyLongObject*)b)->ob_digit[0]; - } - #endif - #endif - return PyLong_AsSsize_t(b); - } - x = PyNumber_Index(b); - if (!x) return -1; - ival = PyInt_AsSsize_t(x); - Py_DECREF(x); - return ival; -} -static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { - return PyInt_FromSize_t(ival); -} - - -#endif /* Py_PYTHON_H */ diff --git a/develop/gpu_cpp/rect.pyx b/develop/gpu_cpp/rect.pyx deleted file mode 100644 index cff1c94..0000000 --- a/develop/gpu_cpp/rect.pyx +++ /dev/null @@ -1,19 +0,0 @@ - - -cdef extern from "Rectangle.h" namespace "shapes": - cdef cppclass Rectangle: - Rectangle(int, int, int, int) except + - int x0, y0, x1, y1 - int getLength() - int getHeight() - int getArea() - void move(int, int) - - -def lol(): - cdef Rectangle *rec = new Rectangle(1, 2, 3, 4) - try: - recLength = rec.getLength() - print recLength - finally: - del rec # delete heap allocated object diff --git a/develop/gpu_cpp/rect.so b/develop/gpu_cpp/rect.so deleted file mode 100755 index 03390aa..0000000 Binary files a/develop/gpu_cpp/rect.so and /dev/null differ diff --git a/develop/gpu_cpp/setup.py b/develop/gpu_cpp/setup.py deleted file mode 100644 index 8346bb2..0000000 --- a/develop/gpu_cpp/setup.py +++ /dev/null @@ -1,13 +0,0 @@ -from distutils.core import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext - - -setup( - cmdclass = {'build_ext': build_ext}, - ext_modules = [Extension("rect", - sources = ["rect.pyx", "Rectangle.cpp"], - language="c++" - )] -) - diff --git a/develop/hp_elm_multiprocessing_async.py b/develop/hp_elm_multiprocessing_async.py deleted file mode 100644 index 21bcd42..0000000 --- a/develop/hp_elm_multiprocessing_async.py +++ /dev/null @@ -1,604 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Oct 27 17:48:33 2014 - -@author: akusok -""" - -import numpy as np -import multiprocessing as mp -import Queue -import threading -from time import time -from hpelm.modules import make_hdf5, ireader, iwriter, ireader2 -from tables import open_file -from nnet import SLFN - - -class HPELM(SLFN): - """Interface for training Extreme Learning Machines. - """ - - def _parse_args(self, args, kwargs, X, T): - """Parse arguments of training, and prepare class variables. - - Model structure selection (exclusive, choose one) - :param "V": use validation set - :param "CV": use cross-validation - - Additional parameters for model structure selecation - :param Xv: validation data X ("V") - :param Tv: validation targets T ("V") - :param k: number of splits ("CV") - - System setup - :param "c": build ELM for classification - :param "cb": build ELM with balanced classification - :param "mc": build ELM for multiclass classification - :param "adaptive"/"ad": build adaptive ELM for non-stationary model - :param "batch": batch size for adaptive ELM (sliding window step size) - """ - - assert len(self.neurons) > 0, "Add neurons to ELM before training it" - args = [a.upper() for a in args] # make all arguments upper case - - # kind of "enumerators", try to use only inside that script - MODELSELECTION = None # V / CV / None - ADAPTIVE = False # batch / None - - # reset parameters - self.ranking = None - self.kmax_op = None - self.classification = None # c / wc / mc - self.weights_wc = None # weigths for weighted classification - - # check exclusive parameters - assert len(set(args).intersection(set(["C", "WC", "MC"]))) <= 1, "Use only one of \ - C (classification) / MC (multiclass) / WC (weighted classification)" - - # parse parameters - for a in args: - if a == "C": - assert self.targets > 1, "Classification targets must have 1 output per class" - self.classification = "c" - if a == "WC": - assert self.targets > 1, "Classification targets must have 1 output per class" - assert "w" in kwargs.keys(), "Provide class weights for weighted classification" - w = kwargs['w'] - assert len(w) == T.shape[1], "Number of class weights differs from number of target classes" - self.weights_wc = w - self.classification = "wc" - if a == "MC": - self.classification = "mc" - # if a in ("A", "AD", "ADAPTIVE"): - # assert "batch" in kwargs.keys(), "Provide batch size for adaptive ELM model (batch)" - # batch = kwargs['batch'] - # ADAPTIVE = True - - - def train(self, fX, fT, *args, **kwargs): - """Universal training interface for ELM model with model structure selection. - - :param fX: input data HDF5 or matrix - :param fT: target data HDF5 or matrix - """ - X, T = self._checkdata(fX, fT) - self._parse_args(args, kwargs, X, T) - # traing the model - self.Beta = self._project(X, T, solve=True)[2] - - - def train_async(self, fX, fT, *args, **kwargs): - """Universal training interface for ELM model with model structure selection. - - :param fX: input data HDF5 or matrix - :param fT: target data HDF5 or matrix - """ - X, T = self._checkdata(fX, fT) - self._parse_args(args, kwargs, X, T) - # traing the model - self.Beta = self._project_async(fX, fT, X, T, solve=True)[2] - - - def _makeh5(self, h5name, N, d): - """Creates HDF5 file opened in append mode. - """ - make_hdf5((N, d), h5name) - h5 = open_file(h5name, "a") - self.opened_hdf5.append(h5) - for node in h5.walk_nodes(): - pass # find a node with whatever name - return node - - - def predict(self, fX, fY): - """Iterative predict which saves data to HDF5, sequential version. - """ - assert self.Beta is not None, "Train ELM before predicting" - X, _ = self._checkdata(fX, None) - N = X.shape[0] - make_hdf5((N, self.targets), fY) - - h5 = open_file(fY, "a") - self.opened_hdf5.append(h5) - for Y in h5.walk_nodes(): - pass # find a node with whatever name - - nn = np.sum([n1[1] for n1 in self.neurons]) - batch = max(self.batch, nn) - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - - t = time() - t0 = time() - eta = 0 - - for b in xrange(0, nb): - start = b*batch - stop = min((b+1)*batch, N) - - # get data - t2 = time() - print "tic" - Xb = X[start:stop].astype(np.float64) - print "toc %.2f" % (time()-t2) - print - # process data - Hb = self.project(Xb) - Yb = Hb.dot(self.Beta) - # write data - Y[start:stop] = Yb - - # report time - eta = int(((time()-t0) / (b+1)) * (nb-b-1)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - - self.opened_hdf5.pop() - h5.close() - - - def predict_async(self, fX, fY): - """Iterative predict which saves data to HDF5, with asynchronous I/O by separate processes. - """ - assert self.Beta is not None, "Train ELM before predicting" - X, _ = self._checkdata(fX, None) - N = X.shape[0] - make_hdf5((N, self.targets), fY) - - # start async reader and writer for HDF5 files - qr_in = mp.Queue() - qr_out = mp.Queue(1) - reader = mp.Process(target=ireader, args=(fX, qr_in, qr_out)) - reader.daemon = True - reader.start() - qw_in = mp.Queue(1) - writer = mp.Process(target=iwriter, args=(fY, qw_in)) - writer.daemon = True - writer.start() - - nn = np.sum([n1[1] for n1 in self.neurons]) - batch = max(self.batch, nn) - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - - t = time() - t0 = time() - eta = 0 - - for b in xrange(0, nb+1): - start_next = b*batch - stop_next = min((b+1)*batch, N) - # prefetch data - qr_in.put((start_next, stop_next)) # asyncronous reading of next data batch - - if b > 0: # first iteration only prefetches data - # get data - t2 = time() - Xb = qr_out.get() - print "toc %.2f" % (time()-t2) - Xb = Xb.astype(np.float64) - # process data - Hb = self.project(Xb) - Yb = Hb.dot(self.Beta) - # save data - qw_in.put((Yb, start, stop)) - - start = start_next - stop = stop_next - # report time - eta = int(((time()-t0) / (b+1)) * (nb-b-1)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - - qw_in.put(None) - reader.join() - writer.join() - - - def _project(self, X, T, solve=False, wwc=None): - """Create HH, HT matrices and computes solution Beta. - - HPELM-specific parallel projection. - Returns solution Beta if solve=True. - Runs on GPU if self.accelerator="GPU". - Performs balanced classification if self.classification="cb". - """ - # initialize - nn = np.sum([n1[1] for n1 in self.neurons]) - batch = max(self.batch, nn) - N = X.shape[0] - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - HH = np.zeros((nn, nn)) # init data holders - HT = np.zeros((nn, self.targets)) - if self.classification == "wc": # weighted classification initialization - ns = np.zeros((self.targets,)) - for b in xrange(nb): # batch sum is much faster - ns += T[b*batch: (b+1)*batch].sum(axis=0) - wc = (float(ns.sum()) / ns) * self.weights_wc # class weights normalized to number of samples - wc = wc**0.5 # because it gets applied twice - - if wwc is not None: - wc = wwc - - if self.accelerator == "GPU": - s = self.magma_solver.GPUSolver(nn, self.targets, self.alpha) - else: - HH.ravel()[::nn+1] += self.alpha # add to matrix diagonal trick - - # main loop over all the data - t = time() - t0 = time() - eta = 0 - for b in xrange(nb): - eta = int(((time()-t0) / (b+0.0000001)) * (nb-b)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - start = b*batch - stop = min((b+1)*batch, N) - Xb = X[start:stop].astype(np.float64) - Tb = T[start:stop].astype(np.float64) - Hb = self.project(Xb) - - if self.classification == "wc": # apply per-sample weighting - ci = Tb.argmax(1) - Hb *= wc[ci, None] - Tb *= wc[ci, None] - if self.accelerator == "GPU": - s.add_data(Hb, Tb) - else: - HH += np.dot(Hb.T, Hb) - HT += np.dot(Hb.T, Tb) - - # get computed matrices back - if self.accelerator == "GPU": - HH, HT = s.get_corr() - if solve: - Beta = s.solve() - s.finalize() - elif solve: - Beta = self._solve_corr(HH, HT) - - # return results - if solve: - return HH, HT, Beta - else: - return HH, HT - - - - def _project_async(self, fX, fT, X, T, solve=False, wwc=None): - """Create HH, HT matrices and computes solution Beta, copy of _project but with async I/O. - - HPELM-specific parallel projection. - Returns solution Beta if solve=True. - Runs on GPU if self.accelerator="GPU". - Performs balanced classification if self.classification="cb". - """ - # initialize - nn = np.sum([n1[1] for n1 in self.neurons]) - batch = max(self.batch, nn) - N = X.shape[0] - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - HH = np.zeros((nn, nn)) # init data holders - HT = np.zeros((nn, self.targets)) - if self.classification == "wc": # weighted classification initialization - ns = np.zeros((self.targets,)) - for b in xrange(nb): # batch sum is much faster - ns += T[b*batch: (b+1)*batch].sum(axis=0) - wc = (float(ns.sum()) / ns) * self.weights_wc # class weights normalized to number of samples - wc = wc**0.5 # because it gets applied twice - - if wwc is not None: - wc = wwc - - if self.accelerator == "GPU": - s = self.magma_solver.GPUSolver(nn, self.targets, self.alpha) - else: - HH.ravel()[::nn+1] += self.alpha # add to matrix diagonal trick - - # start async reader and writer for HDF5 files -# q_in = mp.Queue() -# q_out = mp.Queue(1) -# reader = mp.Process(target=ireader2, args=(fX, fT, q_in, q_out)) -# reader.daemon = True -# reader.start() - - # try with threads - q_in = Queue.Queue() - q_out = Queue.Queue(1) - reader = threading.Thread(target=ireader2, args=(fX, fT, q_in, q_out)) - reader.daemon = True - reader.start() - - t = time() - t0 = time() - eta = 0 - - # main loop over all the data - for b in xrange(0, nb+1): - start_next = b*batch - stop_next = min((b+1)*batch, N) - # prefetch data - q_in.put((start_next, stop_next)) # asyncronous reading of next data batch - - if b > 0: # first iteration only prefetches data - # get data - print ">>" - Xb, Tb = q_out.get() - print "<<" - Xb = Xb.astype(np.float64) - Tb = Tb.astype(np.float64) - - # process data - print ">>>>" - Hb = self.project(Xb) - if self.classification == "wc": # apply per-sample weighting - ci = Tb.argmax(1) - Hb *= wc[ci, None] - Tb *= wc[ci, None] - if self.accelerator == "GPU": - s.add_data(Hb, Tb) - else: - HH += np.dot(Hb.T, Hb) - HT += np.dot(Hb.T, Tb) - print "<<<<" - print - # report time - eta = int(((time()-t0) / (b+1)) * (nb-b-1)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - - reader.join() - - # get computed matrices back - if self.accelerator == "GPU": - HH, HT = s.get_corr() - if solve: - Beta = s.solve() - s.finalize() - elif solve: - Beta = self._solve_corr(HH, HT) - - # return results - if solve: - return HH, HT, Beta - else: - return HH, HT - - - def _error(self, Y1, T1, H1=None, Beta=None, rank=None): - """Do projection and calculate error in batch mode. - - HPELM-specific iterative error for all usage cases. - Can be _error(Y, T) or _error(None, T, H, Beta, rank) - - :param T: - true targets for error calculation - :param H: - projected data for error calculation - :param Beta: - current projection matrix - :param rank: - selected neurons (= columns of H) - """ - if Y1 is None: - H, T = self._checkdata(H1, T1) - assert rank.shape[0] == Beta.shape[0], "Wrong dimension of Beta for the given ranking" - assert T.shape[1] == Beta.shape[1], "Wrong dimension of Beta for the given targets" - nn = rank.shape[0] - else: - _, Y = self._checkdata(None, Y1) - _, T = self._checkdata(None, T1) - nn = np.sum([n1[1] for n1 in self.neurons]) - N = T.shape[0] - batch = max(self.batch, nn) - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - - if self.classification == "c": - err = 0 - for b in xrange(nb): - start = b*batch - stop = min((b+1)*batch, N) - Tb = np.array(T[start:stop]) - if Y1 is None: - Hb = H[start:stop, rank] - Yb = np.dot(Hb, Beta) - else: - Yb = np.array(Y[start:stop]) - errb = np.mean(Yb.argmax(1) != Tb.argmax(1)) - err += errb * float(stop-start)/N - - elif self.classification == "wc": # weighted classification - c = T.shape[1] - errc = np.zeros(c) - for b in xrange(nb): - start = b*batch - stop = min((b+1)*batch, N) - Tb = np.array(T[start:stop]) - if Y1 is None: - Hb = H[start:stop, rank] - Yb = np.dot(Hb, Beta) - else: - Yb = np.array(Y[start:stop]) - for i in xrange(c): # per-class MSE - idxc = Tb[:, i] == 1 - errb = np.mean(Yb[idxc].argmax(1) != i) - errc[i] += errb * float(stop-start)/N - err = np.mean(errc * self.weights_wc) - - elif self.classification == "mc": - err = 0 - for b in xrange(nb): - start = b*batch - stop = min((b+1)*batch, N) - Tb = np.array(T[start:stop]) - if Y1 is None: - Hb = H[start:stop, rank] - Yb = np.dot(Hb, Beta) - else: - Yb = np.array(Y[start:stop]) - errb = np.mean((Yb > 0.5) != (Tb > 0.5)) - err += errb * float(stop-start)/N - - else: # MSE error - err = 0 - for b in xrange(nb): - start = b*batch - stop = min((b+1)*batch, N) - Tb = T[start:stop] - if Y1 is None: - Hb = H[start:stop, rank] - Yb = np.dot(Hb, Beta) - else: - Yb = Y[start:stop] - errb = np.mean((Tb - Yb)**2) - err += errb * float(stop-start)/N - - return err - - - def train_hpv(self, HH, HT, Xv, Tv, steps=10): - X, T = self._checkdata(Xv, Tv) - N = X.shape[0] - nn = HH.shape[0] - - nns = np.logspace(np.log(3), np.log(nn), steps, base=np.e, endpoint=True) - nns = np.ceil(nns).astype(np.int) - nns = np.unique(nns) # numbers of neurons to check - print nns - k = nns.shape[0] - err = np.zeros((k,)) # errors for these numbers of neurons - - batch = max(self.batch, nn) - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - - Betas = [] # keep all betas in memory - for l in nns: - Betas.append(self._solve_corr(HH[:l, :l], HT[:l, :])) - - t = time() - t0 = time() - eta = 0 - for b in xrange(nb): - eta = int(((time()-t0) / (b+0.0000001)) * (nb-b)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - start = b*batch - stop = min((b+1)*batch, N) - alpha = float(stop-start)/N - Tb = np.array(T[start:stop]) - Xb = np.array(X[start:stop]) - Hb = self.project(Xb) - for i in xrange(k): - hb1 = Hb[:, :nns[i]] - Yb = np.dot(hb1, Betas[i]) - err[i] += self._error(Yb, Tb) * alpha - - k_opt = np.argmin(err) - best_nn = nns[k_opt] - self._prune(np.arange(best_nn)) - self.Beta = Betas[k_opt] - del Betas - print "%d of %d neurons selected with a validation set" % (best_nn, nn) - if best_nn > nn*0.9: - print "Hint: try re-training with more hidden neurons" - return nns, err - - - def train_myhpv(self, HH, HT, Xv, Tv, steps=10): - X, T = self._checkdata(Xv, Tv) - N = X.shape[0] - nn = HH.shape[0] - - nns = np.logspace(np.log(3), np.log(nn), steps, base=np.e, endpoint=True) - nns = np.ceil(nns).astype(np.int) - nns = np.unique(nns) # numbers of neurons to check - k = nns.shape[0] - err = np.zeros((k, 2, 2)) # errors for these numbers of neurons - - batch = max(self.batch, nn) - nb = N / batch # number of batches - if N > batch * nb: - nb += 1 - - Betas = [] # keep all betas in memory - for l in nns: - Betas.append(self._solve_corr(HH[:l, :l], HT[:l, :])) - - t = time() - t0 = time() - eta = 0 - for b in xrange(nb): - eta = int(((time()-t0) / (b+0.0000001)) * (nb-b)) - if time() - t > self.tprint: - print "processing batch %d/%d, eta %d:%02d:%02d" % (b+1, nb, eta/3600, (eta % 3600)/60, eta % 60) - t = time() - start = b*batch - stop = min((b+1)*batch, N) - Tb = np.array(T[start:stop]) - Xb = np.array(X[start:stop]) - Hb = self.project(Xb) - Tc = np.argmax(Tb, axis=1) - for i in xrange(k): - hb1 = Hb[:, :nns[i]] - Yb = np.dot(hb1, Betas[i]) - Yc = np.argmax(Yb, axis=1) - err[i, 0, 0] += np.sum((Tc == 0)*(Yc == 0)) - err[i, 0, 1] += np.sum((Tc == 0)*(Yc == 1)) - err[i, 1, 0] += np.sum((Tc == 1)*(Yc == 0)) - err[i, 1, 1] += np.sum((Tc == 1)*(Yc == 1)) - - return nns, err, N - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/incr_std.py.lprof b/develop/incr_std.py.lprof deleted file mode 100755 index 956395c..0000000 Binary files a/develop/incr_std.py.lprof and /dev/null differ diff --git a/develop/incremental_variance_computation.py b/develop/incremental_variance_computation.py deleted file mode 100755 index e65a02f..0000000 --- a/develop/incremental_variance_computation.py +++ /dev/null @@ -1,65 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu Oct 30 20:50:54 2014 - -@author: akusok -""" - -import numpy as np -import time - - -@profile -def line_count(filename): - start_time = time.time() - - f = open(filename) - lines = 0 - buf_size = 1024 * 1024 - read_f = f.read # loop optimization - - buf = read_f(buf_size) - while buf: - lines += buf.count('\n') - buf = read_f(buf_size) - - print lines, time.time() - start_time - - -@profile -def run(): - - #x =np.random.randn(100000000,5) - x = np.random.randn(10000000,5) - - b = 3952 - n = x.shape[0] - - E_x = 0 - E_x2 = 0 - - for i in range(n/b + 1): - k = min(b, n-i*b) - xb = x[i*b:i*b+k] - E_x += np.mean(xb,0) * (1.0*k/n) - E_x2 += np.mean(xb**2,0) * (1.0*k/n) - - E2_x = E_x**2 - sh = (E_x2 - E2_x)**0.5 - - s = np.std(x,0) - - print sh - print s - - -#run() -bufcount("/home/akusok/Documents/X-ELM/hpelm/datasets/regression_song_year/Xtr.txt") - - - - - - - - diff --git a/develop/modules/__init__ b/develop/modules/__init__ deleted file mode 100755 index 028f17f..0000000 --- a/develop/modules/__init__ +++ /dev/null @@ -1,7 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sat Feb 21 20:46:31 2015 - -@author: akusok -""" - diff --git a/develop/modules/data_loader.py b/develop/modules/data_loader.py deleted file mode 100755 index c2ea8c9..0000000 --- a/develop/modules/data_loader.py +++ /dev/null @@ -1,317 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Wed Nov 5 13:54:55 2014 - -@author: akusok -""" -import numpy as np -from tables import openFile - - -def encode(data, cdict): - """Encode 1-dim classes into binary coding. - """ - try: - if isinstance(data, np.ndarray) and (len(data.shape) == 2): - data = data.ravel() - data = np.vstack([cdict[cls] for cls in data]) - except: - raise IOError("Test targets cannot have classes not presented in training") - return data - - -def decode(data, cdict): - """Transform binary coding into original 1-dim classes. - """ - un_cdict = {np.argmax(v): k for k, v in cdict.items()} # invert dictionary - return [un_cdict[i] for i in np.argmax(data, 1)] - - -def np_generator(D, batch, add_bias=False, c_dict=None): - """Returns numpy array part-by-part - """ - N = len(D) - nb = N/batch - if N > nb*batch: - nb += 1 # add last incomplete step - for b in xrange(nb): - start = b*batch - step = min(batch, N-start) - D1 = D[start: start+step] - if add_bias: - D1 = np.hstack((D1, np.ones((step, 1), dtype=D.dtype))) - elif c_dict is not None: - D1 = encode(D1, c_dict) - yield D1 - - -def hdf5_generator(h5, node, batch, add_bias=False, c_dict=None): - """Reads and returns HDF5 file array part-by-part. - """ - N = node.shape[1] # HDF5 files are transposed, for Matlab compatibility - nb = N/batch - if N > nb*batch: - nb += 1 # add last incomplete step - for b in xrange(nb): - start = b*batch - step = min(batch, N-start) - D1 = node[:, start: start+step].T - if add_bias: - D1 = np.hstack((D1, np.ones((step, 1), dtype=D1.dtype))) - elif c_dict is not None: - D1 = encode(D1, c_dict) - if start+step == N: - h5.close() # closing file on last iteration - yield D1 - - -def batchX(X, batch=10000, delimiter=" "): - """Iterates over data X from whatever source. - - batch < 0 means return a matrix instead of iterator - """ - if isinstance(X, basestring) and (X[-3:] == ".h5"): # read partially from HDF5 - h5 = openFile(X) - for node in h5.walk_nodes(): # find a node with whatever name - pass - inputs = node.shape[0] # HDF5 files are transposed, for Matlab compatibility - N = node.shape[1] - if batch > 0: - bX = hdf5_generator(h5, node, batch, add_bias=True) - else: - D = node[:].T - bX = np.hstack((D, np.ones((N, 1), dtype=D.dtype))) - - else: # load whole X into memory - # load text file - if isinstance(X, basestring): # any other file - must be .txt (compressed) file - if X[-3:] in ["txt", ".gz", "bz2"]: - X = np.loadtxt(X, delimiter=delimiter) - elif X[-3:] in ['npy']: - X = np.load(X) - else: - raise IOError("Input file X should be text (*.txt), " + - "a compressed text (*.gz/*.bz2), an HDF5 file " + - "(*.h5), or Numpy binary (*.npy)") - if not isinstance(X, np.ndarray): - X = np.array(X) - if len(X.shape) == 1: - X = X.reshape(-1, 1) # add second dimension - inputs = X.shape[1] - N = X.shape[0] - if batch > 0: - bX = np_generator(X, batch, add_bias=True) - else: - bX = np.hstack((X, np.ones((N, 1), dtype=X.dtype))) - - # return data - return bX, inputs, N - - -def batchT(T, batch=10000, delimiter=" ", c_dict=None): - """Iterates over targets T with correct transformation. - - batch < 0 means return a matrix instead of iterator - :param C_dict: - dictionary of classes for single-class classification, - implies the classification task - """ - - if isinstance(T, basestring) and (T[-3:] == ".h5"): # read partially from HDF5 - h5 = openFile(T) - for node in h5.walk_nodes(): # find a node with whatever name - pass - targets = node.shape[0] # HDF5 files are transposed, for Matlab compatibility - if batch > 0: - bT = hdf5_generator(h5, node, batch, c_dict=c_dict) - else: - bT = node[:].T - if c_dict is not None: - bT = encode(bT, c_dict) - - else: # load whole T into memory - # load text file - if isinstance(T, basestring): # any other file - must be .txt (compressed) file - if T[-3:] in ["txt", ".gz", "bz2"]: - T = np.loadtxt(T, delimiter=delimiter) - elif T[-3:] in ['npy']: - T = np.load(T) - else: - raise IOError("Targets file T should be text (*.txt), " + - "a compressed text (*.gz/*.bz2), an HDF5 file " + - "(*.h5), or Numpy binary (*.npy)") - if c_dict is None: # classification targets have their special treatment - if not isinstance(T, np.ndarray): - T = np.array(T) - if len(T.shape) == 1: - T = T.reshape(-1, 1) # add second dimension - targets = T.shape[1] - if batch > 0: - bT = np_generator(T, batch, c_dict=c_dict) - else: - bT = T - if c_dict is not None: - bT = encode(bT, c_dict) - - # return data - if c_dict is not None: - targets = len(c_dict) # classification targets are unique classes - return bT, targets - - -def meanstdX(X, batch=10000, delimiter=" "): - """Computes mean and standard deviation of X, skips binary features. - - Only works with batch. - """ - if isinstance(X, basestring) and (X[-3:] == ".h5"): # read partially from HDF5 - h5 = openFile(X) - for node in h5.walk_nodes(): - pass # find a node with whatever name - N = node.shape[1] # HDF5 files are transposed, for Matlab compatibility - d = node.shape[0] - nb = N/batch - if N > nb*batch: - nb += 1 # add last incomplete step - - E_x = np.zeros((d,), dtype=np.float64) - E_x2 = np.zeros((d,), dtype=np.float64) - idx_binary = range(d) # indexes of binary features - for b in xrange(nb): - start = b*batch - step = min(batch, N-start) - X1 = node[:, start: start+step].astype(np.float).T - E_x += np.mean(X1, 0) * (1.0*step/N) - E_x2 += np.mean(X1**2, 0) * (1.0*step/N) - # check which features are binary - b1 = [] - for idx in idx_binary: - X1bin = X1[:, idx] - if np.abs(X1bin).max() <= 1: - if np.allclose(X1bin, X1bin.astype(np.int)): - b1.append(idx) - idx_binary = b1 - - meanX = E_x - E2_x = E_x**2 - stdX = (E_x2 - E2_x)**0.5 - h5.close() # closing file - - else: # load whole X into memory - # load text file - if isinstance(X, basestring): # any other file - must be .txt (compressed) file - if X[-3:] in ["txt", ".gz", "bz2"]: - X = np.loadtxt(X, delimiter=delimiter) - elif X[-3:] in ['npy']: - X = np.load(X) - else: - raise IOError("Input file X should be text (*.txt), " + - "a compressed text (*.gz/*.bz2), an HDF5 file " + - "(*.h5), or Numpy binary (*.npy)") - if not isinstance(X, np.ndarray): - X = np.array(X) - if len(X.shape) == 1: - X = X.reshape(-1, 1) # add second dimension - - idx_binary = [] # find binary features, where we skip normalization - for idx in xrange(X.shape[1]): - X1bin = X[:, idx] - if np.abs(X1bin).max() <= 1: - if np.allclose(X1bin, X1bin.astype(np.int)): - idx_binary.append(idx) - - meanX = X.mean(0) - stdX = X.std(0) - N = X.shape[0] - - # remove normalization of binary features - for idx in idx_binary: - meanX[idx] = 0 - stdX[idx] = 1 - # fix for constant input features, prevents division by zero - stdX[stdX == 0] = 1 - return meanX, stdX - - -def c_dictT(T, batch=10000): - """Creates dictionary of classes from any targets. - """ - - if isinstance(T, basestring) and (T[-3:] == ".h5"): # read partially from HDF5 - h5 = openFile(T) - for node in h5.walk_nodes(): - pass # find a node with whatever name - assert node.shape[0] == 1, "Classification targets must have only one feature" - N = node.shape[1] # HDF5 files are transposed, for Matlab compatibility - if batch > 0: - nb = N/batch - if N > nb*batch: - nb += 1 # add last incomplete step - c_set = set([]) - for b in xrange(nb): - start = b*batch - step = min(batch, N-start) - T1 = node[:, start: start+step].ravel() - c_set = c_set.union(set(T1)) - else: - c_set = set(node[:].ravel()) - h5.close() # closing file - - else: # load whole T into memory - # load text file - if isinstance(T, basestring): # any other file - must be .txt (compressed) file - if T[-3:] in ["txt", ".gz", "bz2"]: - with open(T) as f: - T = f.readlines() - elif T[-3:] in ['npy']: - T = np.load(T) - else: - raise IOError("Targets file T should be text (*.txt), " + - "a compressed text (*.gz/*.bz2), an HDF5 file " + - "(*.h5), or Numpy binary (*.npy)") - - if isinstance(T, np.ndarray): - assert (len(T.shape) == 1) or (T.shape[1] == 1), "Classification targets must have only 1 feature" - if len(T.shape) == 2: - T = T.ravel() # make targets 1-dimensional - - c_set = set(T) - - classes = list(c_set) - C = len(classes) - temp = np.eye(C) - C_dict = {classes[i]: temp[i] for i in xrange(C)} - - return C_dict - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/modules/h5tools.py b/develop/modules/h5tools.py deleted file mode 100755 index a66f108..0000000 --- a/develop/modules/h5tools.py +++ /dev/null @@ -1,47 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sat Nov 8 16:28:02 2014 - -@author: akusok -""" - -import numpy as np -from tables import openFile, Atom - - -def h5write(filename, varname, data): - """Writes one data matrix to HDF5 file. - - Similar to Matlab function. - """ - assert isinstance(filename, basestring), "file name must be a string" - assert isinstance(varname, basestring), "variable name must be a string" - assert isinstance(data, np.ndarray), "data must be a Numpy array" - if len(data.shape) == 1: - data = data.reshape(-1,1) - - # remove leading "/" from variable name - if varname[0] == "/": - varname = varname[1:] - - try: - h5 = openFile(filename, "w") - a = Atom.from_dtype(data.dtype) - h5.create_array(h5.root, varname, data.T, atom=a) # transpose for Matlab compatibility - h5.flush() - finally: - h5.close() - - -def h5read(filename): - """Reads one data matrix from HDF5 file, variable name does not matter. - - Similar to Matlab function. - """ - h5 = openFile(filename) - for node in h5.walk_nodes(): # find the last node with whatever name - pass - M = node[:].T # transpose for Matlab compatibility - h5.close() - return M - \ No newline at end of file diff --git a/develop/one_neuron_at_a_time.py.lprof b/develop/one_neuron_at_a_time.py.lprof deleted file mode 100755 index 35d48d4..0000000 Binary files a/develop/one_neuron_at_a_time.py.lprof and /dev/null differ diff --git a/develop/overwrite_inherited.py b/develop/overwrite_inherited.py deleted file mode 100644 index c0e52ff..0000000 --- a/develop/overwrite_inherited.py +++ /dev/null @@ -1,18 +0,0 @@ - - - -class cls1(object): - - def run(self, i): - print "I am class 1 with", i - - -class cls2(cls1): - - def run(self, j, k=3): - print "I am class 2 with", j, "and", k - - -if __name__ == "__main__": - c = cls2() - c.run(3) \ No newline at end of file diff --git a/develop/parallel_cdist.py b/develop/parallel_cdist.py deleted file mode 100644 index 480747e..0000000 --- a/develop/parallel_cdist.py +++ /dev/null @@ -1,65 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Tue Apr 7 17:48:46 2015 - -@author: akusok -""" - -import numpy as np -from scipy.spatial.distance import cdist -from multiprocessing import Pool, cpu_count -from time import time, sleep - - -def f(a): - h, w, ix = a - return cdist(h, w, "sqeuclidean"), ix - -# @profile -def run(): - H = np.random.rand(2,300) - W = np.random.rand(3000, 300) - - t = time() - C1 = cdist(H, W, "sqeuclidean") - print time() - t - - print "done 1" - - t = time() - k = cpu_count() - N = H.shape[0] - idxs = np.array_split(np.arange(N), k*10) - jobs = [(H[ix], W, ix) for ix in idxs] - - p = Pool(k) - C1p = np.empty((N, W.shape[0])) -# for h, w, ix in jobs: -# C1p[ix] = cdist(h, w, "sqeuclidean") - t2 = time() - for h0, ix in p.imap(f, jobs): - C1p[ix] = h0 - print time() - t2 - p.close() - print time() - t - assert np.allclose(C1, C1p) - -# C = cdist(H, W, "cityblock") -# C = cdist(H, W, "chebyshev") - - - -# @profile -def run_all(): - c = run() - print "Done" - - -run_all() - - - - - - - diff --git a/develop/parallel_cdist.py.lprof b/develop/parallel_cdist.py.lprof deleted file mode 100644 index bb0672f..0000000 Binary files a/develop/parallel_cdist.py.lprof and /dev/null differ diff --git a/develop/parallel_cdist_projection.py b/develop/parallel_cdist_projection.py deleted file mode 100644 index 48117a2..0000000 --- a/develop/parallel_cdist_projection.py +++ /dev/null @@ -1,322 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Oct 27 17:48:33 2014 - -@author: akusok -""" - -import numpy as np -import numexpr as ne -from scipy.spatial.distance import cdist -from multiprocessing import Pool, cpu_count -import os - -from nnet import SLFN - - -class parallel_cdist(object): - - def __init__(self, W, kind): - self.C = W.T - self.kind = kind - - def __call__(self, X): - return cdist(X, self.C, self.kind) - - -class ELM(SLFN): - """Non-parallel Extreme Learning Machine. - """ - - # inherited def __init__(self, inputs, outputs): - # inherited def _checkdata(self, X, T): - # inherited def add_neurons(self, number, func, W=None, B=None): - # inherited def project(self, X): - # inherited def predict(self, X): - # inherited def save(self, model): - # inherited def load(self, model): - - def _mp_project(X, W, B, k, kind): - pcdist = parallel_cdist(W, kind) - # fix issues with running everything on one core - os.system("taskset -p 0xff %d >/dev/null" % os.getpid()) - p = Pool(k) - H0 = p.map(pcdist, np.array_split(X, k, axis=0)) - H0 = np.vstack(H0) / (-2 * (B ** 2)) - p.close() - return H0 - - def project(self, X): - # assemble global hidden layer output - H = [] - for func, ntype in self.neurons.iteritems(): - _, W, B = ntype - k = cpu_count() - - # projection - if func == "rbf_l2": - H0 = self._mp_project(X, W, B, k, "sqeuclidean") - elif func == "rbf_l1": - H0 = self._mp_project(X, W, B, k, "cityblock") - elif func == "rbf_linf": - H0 = self._mp_project(X, W, B, k, "chebyshev") - else: - H0 = X.dot(W) + B - - # transformation - if func == "lin": - pass - elif "rbf" in func: - ne.evaluate('exp(H0)', out=H0) - elif func == "sigm": - ne.evaluate("1/(1+exp(-H0))", out=H0) - elif func == "tanh": - ne.evaluate('tanh(H0)', out=H0) - else: - H0 = func(H0) # custom - H.append(H0) - - H = np.hstack(H) - return H - - def train(self, X, T): - """Learn a model to project inputs X to targets T. - - :param X: - matrix of inputs - :param T: - matrix of targets - """ - assert len(self.neurons) > 0, "Add neurons before training ELM" - X, T = self._checkdata(X, T) - H = self.project(X) - self.Beta = np.linalg.pinv(H).dot(T) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ''' COPY OF OLD PRUNING METHODS - def prune_op(self, X, T, batch=10000, delimiter=" "): - """Prune ELM as in OP-ELM paper. - """ - # get data iterators - genX, self.inputs, N = batchX(X, batch, delimiter) - genT, self.targets = batchT(T, batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - nfeats = [] - neurons = np.zeros((nn,)) - for X1,T1 in zip(genX, genT): - - # get hidden layer outputs - H = np.dot(X1,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T1 = semi_Tikhonov(H,T1,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - rank = mrsr(H, T1, nn) - - # select best number of neurons - MSE = press(H[:, rank[:2]], T1, self.classification, self.multiclass) - R_opt = rank[:2] - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - r = rank[:i] - mse1 = press(H[:,r], T1, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = r - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - r = R_opt - - # save number of neurons and their ranking information - nfeats.append(len(r)) - # first selected neuron gets weight 2, last one gets weight 1 - neurons[r] += np.linspace(2,1,num=len(r)) - - # combine neuron ranking - nfeats = np.round(np.mean(nfeats)) - neurons = np.argsort(neurons)[::-1][:nfeats] # sorting in descending order - - # update ELM parameters and re-calculate B - self.W = self.W[:,neurons] - self.ufunc = [self.ufunc[j] for j in neurons] - self.train(X, T, batch=batch, delimiter=delimiter) - - - - def prune_op2(self, X, T, norm=1, batch=10000, delimiter=" "): - """Prune ELM with a more recent implementation of MRSR. - - :param norm: - check numpy.linalg.norm(X, ) - """ - # get data iterators - genX, self.inputs, N = batchX(X, batch, delimiter) - genT, self.targets = batchT(T, batch, delimiter, self.C_dict) - - # project data - nn = len(self.ufunc) - delta = 0.95 # improvement of MSE for adding more neurons - nfeats = [] - neurons = np.zeros((nn,)) - for X1,T1 in zip(genX, genT): - - # get hidden layer outputs - H = np.dot(X1,self.W) - for i in xrange(H.shape[1]): - H[:,i] = self.ufunc[i](H[:,i]) - H,T1 = semi_Tikhonov(H,T1,self.Tmean) # add Tikhonov regularization - - # get ranking of neurons in that batch - # this MRSR2 is a class, with <.rank> attribute and <.new_input()> method - M = mrsr2(H, T1, norm) - M.new_input() - M.new_input() - - # select best number of neurons - MSE = press(H[:, M.rank], T1, self.classification, self.multiclass) - R_opt = M.rank - early_stopping = int(nn/10) + 1 # early stopping if no improvement in 10% neurons - last_improvement = 0 - for i in range(3, nn): - last_improvement += 1 - M.new_input() - mse1 = press(H[:, M.rank], T1, self.classification, self.multiclass) - if mse1 < MSE * delta: - MSE = mse1 - R_opt = M.rank - last_improvement = 0 - elif last_improvement > early_stopping: # early stopping if MSE raises - break - rank = R_opt - del M - - # save number of neurons and their ranking information - nfeats.append(len(rank)) - # first selected neuron gets weight 2, last one gets weight 1 - neurons[rank] += np.linspace(2,1,num=len(rank)) - - # combine neuron ranking - nfeats = np.round(np.mean(nfeats)) - neurons = np.argsort(neurons)[::-1][:nfeats] # sorting in descending order - - # update ELM parameters and re-calculate B - self.W = self.W[:,neurons] - self.ufunc = [self.ufunc[j] for j in neurons] - self.train(X, T, batch=batch, delimiter=delimiter) - ''' - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/develop/parallel_h5_write.py b/develop/parallel_h5_write.py deleted file mode 100644 index ae472c9..0000000 --- a/develop/parallel_h5_write.py +++ /dev/null @@ -1,29 +0,0 @@ -import numpy as np -from tables import open_file -import sys -import fasteners - - -def make(fname): - h5 = open_file(fname, "w") - h5.create_array(h5.root, "Data", obj=np.zeros((1000, 1000), dtype=np.float64)) - h5.flush() - h5.close() - - -def run(fname): - flock = fname[:-2]+"lock" - with fasteners.InterProcessLock(flock): - h5 = open_file(fname, "a") - d = np.ones((1000, 1000)) - print "adding" - h5.root.Data[:] += d - h5.flush() - h5.close() - -if __name__ == "__main__": - fname = sys.argv[1] - if len(sys.argv) > 2: - make(fname) - else: - run(fname) \ No newline at end of file diff --git a/develop/parallel_mpi_iris.py b/develop/parallel_mpi_iris.py deleted file mode 100755 index c492c2f..0000000 --- a/develop/parallel_mpi_iris.py +++ /dev/null @@ -1,73 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Oct 6 18:19:18 2014 - -@author: akusok -""" - -from sklearn import datasets -import numpy as np -from elm_naive import ELM_Naive -from mpi4py import MPI - - -def run_mpi(): - - comm = MPI.COMM_WORLD - rank = comm.Get_rank() - size = comm.Get_size() - - - if rank == 0: - iris = datasets.load_iris() - X = iris.data - Y = np.zeros((150,3)) - Y[:50,0] = 1 - Y[50:100,1] = 1 - Y[100:,2] = 1 - - X = (X - np.mean(X,0)) / np.std(X,0) - - else: - X = None - Y = None - - elm = ELM(4,3) - elm.add_neurons(10, np.tanh) - print elm.bias - elm.train(X, Y) - Yh = elm.run(X) - - if rank == 0: - print np.argmax(Yh,1) - iris.target - - - -def run_naive(): - iris = datasets.load_iris() - X = iris.data - Y = np.zeros((150,3)) - Y[:50,0] = 1 - Y[50:100,1] = 1 - Y[100:,2] = 1 - - Yh = ELM_Naive(X, Y, 20, classification=True) - acc = float(np.sum(Y.argmax(1) == Yh)) / Y.shape[0] - print "%.1f%%" % (acc*100) - - -if __name__ == "__main__": - run_naive() - print "Done!" - - - - - - - - - - - - diff --git a/develop/press_classification.py b/develop/press_classification.py deleted file mode 100755 index 8c6292f..0000000 --- a/develop/press_classification.py +++ /dev/null @@ -1,143 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sun Nov 23 19:09:30 2014 - -@author: akusok -""" - - -import numpy as np -from numpy import linalg -np.set_printoptions(precision=5, suppress=True) - - - -def run(): - #Y = np.random.rand(30,2) - N = 50 - Y = np.zeros((N,2)) - Y[:15,0] = 1 - Y[15:,1] = 1 - - W = np.random.randn(2,5) - Y2 = Y.copy() - n = np.random.randint(1,9) - for _ in range(n): - k = np.random.randint(0,N) - Y2[k] = -Y2[k]+1 - X = Y2.dot(W) + np.random.randn(N,5)*0.1 - - B = linalg.pinv(X).dot(Y) - Yh = X.dot(B) - err = np.mean((Y - Yh)**2) - #print np.argmax(Y,1) - #print np.argmax(Yh,1) - #print "train", err - - - N = X.shape[0] - C = linalg.inv(np.dot(X.T, X)) - P = X.dot(C) - W = C.dot(X.T).dot(Y) - D = np.ones((N,)) - np.einsum('ij,ji->i', P, X.T) - e = (Y - X.dot(W)) / D.reshape((-1,1)) - MSE = np.mean(e**2) - - #print 'press', MSE - - - ################################################### - ### best classification error here ### - - N = X.shape[0] - C = linalg.inv(np.dot(X.T, X)) - P = X.dot(C) - W = C.dot(X.T).dot(Y) - D = np.ones((N,)) - np.einsum('ij,ji->i', P, X.T) - e = (Y.argmax(1) - X.dot(W).argmax(1)) / D.T - MCE = np.mean(e**2) - #print 'class', MCE - ################################################### - - e = Y.argmax(1) - X.dot(W).argmax(1) - MCE2 = np.mean(e**2) - #print 'clas2', MCE2 - - return MSE, MCE, MCE2 - - - -def run_multiclass(): - #Y = np.random.rand(30,2) - N = 20 - Y = np.random.rand(N,3) - Y = np.array(Y > 0.6, dtype=np.int) - - W = np.random.randn(3,5) - Y2 = Y.copy() - for _ in range(np.random.randint(1,5)): - k = np.random.randint(0,N) - for _ in range(np.random.randint(0,3)): - j = np.random.randint(0,3) - Y2[k,j] = -Y2[k,j]+1 - X = Y2.dot(W) + np.random.randn(N,5)*0.1 - - N = X.shape[0] - C = linalg.inv(np.dot(X.T, X)) - P = X.dot(C) - W = C.dot(X.T).dot(Y) - D = np.ones((N,)) - np.einsum('ij,ji->i', P, X.T) - e = (Y - X.dot(W)) / D.reshape((-1,1)) - MSE = np.mean(e**2) - - #print 'press', MSE - - - ################################################### - ### best classification error here ### - - N = X.shape[0] - C = linalg.inv(np.dot(X.T, X)) - P = X.dot(C) - W = C.dot(X.T).dot(Y) - D = np.ones((N,)) - np.einsum('ij,ji->i', P, X.T) - - e = ((Y>0.5) - (X.dot(W)>0.5)) / D.reshape((-1,1)) - MCE = np.mean(e**2) - #print 'class', MCE - ################################################### - - e = ((Y>0.5) - (X.dot(W)>0.5)) - MCE2 = np.mean(e**2) - #print 'clas2', MCE2 - - return MSE, MCE, MCE2 - - - - - - -s = [0,0,0,0,0] -N = 10000 -for _ in range(N): - m,m2,m3 = run_multiclass() - s[0] += m - s[1] += np.abs(m2-m) - s[2] += m2-m - s[3] += np.abs(m3-m) - s[4] += m3-m -s = np.array(s) * 100 / N - -print "MSE, |MSE-MCE|, MSE-MCE, |MSE-MCE2|, MSE-MCE2" -print s - - - - - - - - - - diff --git a/develop/reikna_test.py b/develop/reikna_test.py deleted file mode 100644 index 560a6dc..0000000 --- a/develop/reikna_test.py +++ /dev/null @@ -1,39 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu Jan 8 08:47:44 2015 - -@author: akusok -""" - -import numpy -from numpy.linalg import norm -import reikna.cluda as cluda -from reikna.linalg import MatrixMul -import time - - -#@profile -def run(): - - api = cluda.ocl_api() - thr = api.Thread.create() - - n = 3000 - shape1 = (n, n) - shape2 = (n, n) - - a = numpy.random.randn(*shape1).astype(numpy.float32) - b = numpy.random.randn(*shape2).astype(numpy.float32) - a_dev = thr.to_device(a) - b_dev = thr.to_device(b) - res_dev = thr.array((shape1[0], shape2[1]), dtype=numpy.float32) - - dot = MatrixMul(a_dev, b_dev, out_arr=res_dev) - dotc = dot.compile(thr) - dotc(res_dev, a_dev, b_dev) - - res_reference = numpy.dot(a, b) - - print(norm(res_dev.get() - res_reference) / norm(res_reference) < 1e-6) - -run() \ No newline at end of file diff --git a/develop/replace_normalization.py b/develop/replace_normalization.py deleted file mode 100755 index dabf57b..0000000 --- a/develop/replace_normalization.py +++ /dev/null @@ -1,38 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Mon Nov 3 17:01:02 2014 - -@author: akusok -""" - -import numpy as np - - -n = 12 -d = 6 -nn = 5 - -X1 = np.random.randint(200,255,size=(n,d/3)) -X2 = np.random.randint(0,255,size=(n,d/3)) -X3 = np.random.randint(1,5,size=(n,d/3)) -X = np.hstack((X1,X2,X3)) -#print X -mean = X.mean(0) -std = X.std(0) - -W = np.random.randn(d,nn) / d**0.5 -W = W / std.reshape(-1,1) -bias = -np.dot(W.T, mean) - -H = X.dot(W) + bias -print H -print H.std() -print ((np.abs(H) < 5)*(np.abs(H)>0.2)).astype(np.int) - -""" -from matplotlib import pyplot as plt -a = np.linspace(-5,5,10000) -b = np.tanh(a) -plt.plot(a,b,'-r') -plt.show() -""" \ No newline at end of file diff --git a/develop/semi_Tikhonov_regularizations.py b/develop/semi_Tikhonov_regularizations.py deleted file mode 100755 index 0de1d1f..0000000 --- a/develop/semi_Tikhonov_regularizations.py +++ /dev/null @@ -1,40 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Nov 21 18:52:32 2014 - -@author: akusok -""" -import numpy as np - - -def semi_Tikhonov(H, T, Tmean): - # add semi-Tikhonov regularization: small random noise projected to "zero" - # "zero" = zero + E[T], otherwise we introduce a bias - nT = H.shape[0]/10 + 1 - tkH = np.random.rand(nT, H.shape[1]) * 10E-6 - tkT = np.tile(Tmean, (nT,1)) - H = np.vstack((H, tkH)) - T = np.vstack((T, tkT)) - return H, T - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop/setup_gpu.py b/develop/setup_gpu.py deleted file mode 100755 index 8196041..0000000 --- a/develop/setup_gpu.py +++ /dev/null @@ -1,55 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Sat Oct 18 17:21:12 2014 - -@author: akusok -""" - -from setuptools import setup -from distutils.extension import Extension -from Cython.Distutils import build_ext - -import commands -import numpy -import sys - - -def readme(): - with open('README.rst') as f: - return f.read() - - -def pkgconfig(*packages, **kw): - """Returns nicely organized stuff from PKGCONFIG. - - Found on the internet, returns a dictionary with - libraries, library dirs, include dirs, extra arguments - - To test, run in terminal: "pkg-config --libs --cflags magma" - - To add "magma" to pkg-config: - export PKG_CONFIG_PATH=$PKG_CONFIG_PATH:/usr/local/magma/lib/pkgconfig - use your own path to installed magma + lib/pkgconfig - """ - flag_map = {'-I': 'include_dirs', '-L': 'library_dirs', '-l': 'libraries'} - for token in commands.getoutput("pkg-config --libs --cflags %s" % ' '.join(packages)).split(): - if token[:2] in flag_map: - kw.setdefault(flag_map.get(token[:2]), []).append(token[2:]) - else: - kw.setdefault('extra_compile_args', []).append(token) - return kw - - -setup(cmdclass={'build_ext': build_ext}, - ext_modules=[ - Extension( - "hpelm.gpu.magma_solver", - sources=["hpelm/gpu/magma_solver.pyx", - "hpelm/gpu/gpu_solver.cpp"], - language="c++", - extra_compile_args=pkgconfig("magma")["extra_compile_args"], - include_dirs=[numpy.get_include()] + pkgconfig("magma")["include_dirs"], - libraries=pkgconfig("magma")["libraries"], - library_dirs=pkgconfig("magma")["library_dirs"]) - ] - ) diff --git a/develop/translate_dictionary.py b/develop/translate_dictionary.py deleted file mode 100755 index a04f8bc..0000000 --- a/develop/translate_dictionary.py +++ /dev/null @@ -1,76 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Wed Nov 5 19:30:23 2014 - -@author: akusok -""" - - -import numpy as np - - -a = [["a","a","b","c","c"],["c","a","a","a","a"]] -b = np.random.randint(0,3,size=(10,5)) - - -dictA = {"a":0, "b":1, "c":2} -vA = np.vectorize(lambda x : dictA[x]) -#print vA(a) - - -dictB = {0:10, 1:20, 2:30} -vB = np.vectorize(lambda x : dictB[x]) -#print vB(b) - - -decode = {n: l for l,n in dictA.items()} -vD = np.vectorize(lambda x : decode[x]) -#print vD(b) - - -#################################################### -print "final test" -f = np.random.randint(0,3,size=(12,)) -f = vD(f) -print "f: ", f - - -C = len(set(f)) -Cval = list(set(f)) -temp = np.eye(C) -dictF = {Cval[i] : temp[i] for i in range(C)} -def vF(data): - return np.vstack([dictF[val] for val in data]) -print vF(f) - - -f2 = np.array([[1,0,0], - [0,1,0], - [0,0,1]]) -un_dictF = {np.argmax(v): k for k,v in dictF.items()} -def un_vF(data): - return [un_dictF[i] for i in np.argmax(data, 1)] -print un_vF(f2) - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop_HtH/idea.txt b/develop_HtH/idea.txt deleted file mode 100644 index 9f43e60..0000000 --- a/develop_HtH/idea.txt +++ /dev/null @@ -1,77 +0,0 @@ -The information in ELM is presented in a form of (H'H + H'T) matrices. They are the same -size nn*nn for any amount of data - from one sample to a billion of samples. More samples -provide a more accurate estimation of H'H, but the size stays the same. - -A global H'H matrix is a sum of H1'H1 + H2'H2 + ... -That means for classification, we can consider a separate H'H[c0], H'H[c1], ... class -matrices. Then the problem of unbalanced dataset is solved easily by - - -Two best variables of IRIS (nn, acc over 100 * 10x c-v) -Best: vars 2 and 3, nn=7 -0 1 -3 70.9+-2.6 -4 74.9+-1.7 -5 76.3+-1.1 -6 77.2+-1.1 -7 77.5+-1.1 -8 77.9+-1.0 -9 77.9+-0.9 -10 78.2+-1.0 -11 78.1+-0.9 -12 78.1+-0.9 -0 2 -3 76.0+-2.5 -4 82.7+-2.2 -5 86.9+-2.1 -6 90.3+-1.7 -7 91.8+-1.6 -8 93.4+-1.1 -9 94.0+-0.8 -10 94.2+-0.8 -11 94.5+-0.6 -12 94.5+-0.5 -0 3 -3 74.7+-2.8 -4 83.4+-2.6 -5 87.7+-2.1 -6 90.8+-1.5 -7 92.0+-1.5 -8 93.4+-1.0 -9 94.2+-0.9 -10 94.3+-0.7 -11 94.6+-0.7 -12 94.6+-0.6 -1 2 -3 76.8+-2.7 -4 83.1+-2.1 -5 86.1+-1.8 -6 88.5+-1.8 -7 89.8+-1.5 -8 91.1+-1.3 -9 91.7+-1.1 -10 92.5+-1.1 -11 92.7+-1.0 -12 93.3+-0.8 -1 3 -3 80.5+-3.0 -4 86.3+-2.0 -5 89.2+-1.8 -6 91.2+-1.5 -7 92.5+-1.4 -8 93.7+-1.0 -9 94.3+-0.7 -10 94.4+-0.8 -11 94.7+-0.6 -12 94.6+-0.6 -2 3 -3 84.9+-2.9 -4 91.6+-2.1 -5 94.1+-1.1 -6 95.1+-0.6 -7 95.5+-0.5 -8 95.6+-0.4 -9 95.6+-0.3 -10 95.7+-0.3 -11 95.8+-0.3 -12 95.7+-0.3 \ No newline at end of file diff --git a/develop_HtH/over_sampling.py b/develop_HtH/over_sampling.py deleted file mode 100644 index f2eada5..0000000 --- a/develop_HtH/over_sampling.py +++ /dev/null @@ -1,247 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Feb 27 05:16:53 2015 - -@author: Anton -""" - -import numpy as np -import numexpr as ne -import os -from matplotlib import pyplot as plt - - -class elm(object): - - def __init__(self): - self.sigm = lambda a: ne.evaluate("1/(1+exp(-a))") - - - def train(self, X, T, nn, idx): - n,d = X.shape - np.random.seed() - W = np.random.randn(d, nn) * 3**0.5 - bias = np.random.randn(nn) - self.W = W - self.bias = bias - - H = np.dot(X,W) + bias # random projection - H = self.sigm(H) # non-linear transformation - #self.B = np.dot(np.linalg.pinv(H), T) # linear regression - - ################################################## - - - H1 = H[T[:,0]==1] - T1 = T[T[:,0]==1] - HH1 = np.dot(H1.T, H1) + 1E-6*np.eye(H1.shape[1]) - HT1 = np.dot(H1.T, T1) - - #H2 = H[T[:,1]==1] - #T2 = T[T[:,1]==1] - H2 = H[idx] - T2 = T[idx] - HH2 = np.dot(H2.T, H2) + 1E-6*np.eye(H2.shape[1]) - HT2 = np.dot(H2.T, T2) - - """ - ### RESAMPLING - Nsampl = H2.shape[0] - s = (np.std(X[T[:,0]==1], axis=0) + np.std(X[idx], axis=0) + np.std(X[T[:,2]==1], axis=0)) / 3 - Nres = (np.sum(T[:,0]==1) + np.sum(T[:,2]==1)) / 2 - Xres = np.zeros((Nres, d)) - for i in xrange(Nres): - sampl = X[idx][np.random.randint(Nsampl)] - Xres[i] = sampl + np.random.randn(1,d)*s - H2res = np.dot(Xres,W) + bias - H2res = self.sigm(H2res) - T2res = np.tile(T2[0], (Nres,1)) - H2 = np.vstack((H2, H2res)) - T2 = np.vstack((T2, T2res)) - HH2 = np.dot(H2.T, H2) + 1E-6*np.eye(H2.shape[1]) - HT2 = np.dot(H2.T, T2) - #""" - Xres=np.zeros((3,2)) - - - H3 = H[T[:,2]==1] - T3 = T[T[:,2]==1] - HH3 = np.dot(H3.T, H3) + 1E-6*np.eye(H3.shape[1]) - HT3 = np.dot(H3.T, T3) - - N = n*1.0 - k = np.array([1, 1, 1], dtype=np.float64) - k = np.array([N/H1.shape[0], N/H2.shape[0], N/H3.shape[0]]).astype(np.float64) - k = k / np.sum(k) - HH = k[0]*HH1 + k[1]*HH2 + k[2]*HH3 - HT = k[0]*HT1 + k[1]*HT2 + k[2]*HT3 - - - ################################################## - - #HH = H.T.dot(H) + 1E-6*np.eye(H.shape[1]) - #HT = H.T.dot(T) - self.B = np.linalg.lstsq(HH, HT)[0] - return Xres - - - - - def run(self, X): - H = np.dot(X, self.W) + self.bias - H = self.sigm(H) - return np.dot(H, self.B) - - - -def code(nn): - folder = 'Classification-Iris' - folder = os.path.join(os.path.dirname(__file__), "../datasets", folder) - acc = np.zeros((10,)) - for i in range(10): # 10-fold cross-validation - # get file names - Xtr = np.load(os.path.join(folder, "xtrain_%d.npy" % (i + 1))) - Xts = np.load(os.path.join(folder, "xtest_%d.npy" % (i + 1))) - Ytr = np.load(os.path.join(folder, "ytrain_%d.npy" % (i + 1))) - Yts = np.load(os.path.join(folder, "ytest_%d.npy" % (i + 1))) - # train ELM - Xtr = Xtr[:,2:] - Xts = Xts[:,2:] - Ytr = np.hstack((Ytr[:,:2], Ytr[:,3][:,None])) - Yts = np.hstack((Yts[:,:2], Yts[:,3][:,None])) - - e = elm() - e.train(Xtr, Ytr, nn) - Yh = e.run(Xts) - - # evaluate classification results - Yts = np.argmax(Yts, 1) - Yh = np.argmax(Yh, 1) - acc[i] = float(np.sum(Yh == Yts)) / Yts.shape[0] - return acc - - -def code_show(nn, i): - folder = 'Classification-Iris' - folder = os.path.join(os.path.dirname(__file__), "../datasets", folder) - acc = np.zeros((10,)) - # get file names - Xtr = np.load(os.path.join(folder, "xtrain_%d.npy" % (i + 1))) - Xts = np.load(os.path.join(folder, "xtest_%d.npy" % (i + 1))) - Ytr = np.load(os.path.join(folder, "ytrain_%d.npy" % (i + 1))) - Yts = np.load(os.path.join(folder, "ytest_%d.npy" % (i + 1))) - # train ELM - #Xtr = Xtr[:,2:] - #Xts = Xts[:,2:] - i1 = 0 - i2 = 3 - Xtr = np.vstack((Xtr[:,i1], Xtr[:,i2])).T - Xts = np.vstack((Xts[:,i1], Xts[:,i2])).T - - Ytr = np.hstack((Ytr[:,:2], Ytr[:,3][:,None])) - Yts = np.hstack((Yts[:,:2], Yts[:,3][:,None])) - - #print '1' - #print Xtr[Ytr[:,0]==1].std(axis=0)**2 - #print Xtr[Ytr[:,1]==1].std(axis=0)**2 - - - # prepare mesh grid - x = np.arange(-2.5, 2.5, 0.1) - y = np.arange(-2.5, 2.5, 0.1) - n = x.shape[0] - xm, ym = np.meshgrid(x, y) - D = np.vstack((xm.ravel(), ym.ravel())).T - - # reduce number of samples of one class - N2 = 2 - idx = np.where(Ytr[:,1]==1)[0] - np.random.shuffle(idx) - idx = idx[:N2] - idx = np.array([21, 76]) - print idx - - # average over many runs - Z = [] - acc = [] - for _ in range(1): - - e = elm() - Xres = e.train(Xtr, Ytr, nn, idx) - - # evaluate classification results - Yh = e.run(Xts) - Yts1 = np.argmax(Yts, 1) - Yh1 = np.argmax(Yh, 1) - acc.append(float(np.sum(Yh1 == Yts1)) / Yts1.shape[0]) - - # show plot - Z.append(e.run(D)) - - Z = np.array(Z).mean(0) - print "acc:", np.mean(acc) - - I = Z.copy() - Z[Z<0] = 0 - I[I<0] = 0 - I = I.reshape(n,n,3) - I = I / I.max(axis=2)[:,:,None] - - I = I[::-1, :, :] - - - plt.imshow(I, extent=[-2.5, 2.5, -2.5, 2.5]) - #cl = 1 - #plt.contour(xm, ym, Z[:,cl].reshape(n,n), colors='k') - #plt.contourf(xm, ym, Z[:,cl].reshape(n,n), cmap=plt.cm.bone) - #plt.scatter(D[:,0], D[:,1], s=Z[:,0]) - - #Xa = np.vstack((Xtr, Xts)) - #Ya = np.vstack((Ytr, Yts)) - #plt.scatter(Xa[:,0], Xa[:,1], c=Ya) - #plt.scatter(Xtr[:,0], Xtr[:,1], c=Ytr) - plt.scatter(Xtr[Ytr[:,0]==1,0], Xtr[Ytr[:,0]==1,1], c=Ytr[Ytr[:,0]==1]) - plt.scatter(Xtr[idx,0], Xtr[idx,1], c=Ytr[idx]) - plt.scatter(Xres[:,0], Xres[:,1], c=Ytr[idx[0]]) - plt.scatter(Xtr[Ytr[:,2]==1,0], Xtr[Ytr[:,2]==1,1], c=Ytr[Ytr[:,2]==1]) - plt.show() - - - - - -if __name__ == "__main__": - nn = 7 - #m = [] - #for _ in range(100): - # acc = code(nn) - # m.append(np.mean(acc)) - #m = np.array(m)*100 - #print "%.1f+-%.1f" % (np.mean(m), np.std(m)) - - code_show(nn, 0) - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop_HtH/singlesample.py b/develop_HtH/singlesample.py deleted file mode 100644 index 6fcce6f..0000000 --- a/develop_HtH/singlesample.py +++ /dev/null @@ -1,283 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Feb 27 05:16:53 2015 - -@author: Anton -""" - -import numpy as np -from scipy.spatial.distance import cdist -import numexpr as ne -import os -from matplotlib import pyplot as plt - - -class elm(object): - - def __init__(self): - self.sigm = lambda a: ne.evaluate("1/(1+exp(-a))") - - - def train(self, X, T, nn, idx): - n,d = X.shape - np.random.seed() - W = np.random.randn(d, nn) * 3**0.5 - bias = np.random.randn(nn) - self.W = W - self.bias = bias - - - H = np.dot(X,W) + bias # random projection - H = self.sigm(H) # non-linear transformation - #self.B = np.dot(np.linalg.pinv(H), T) # linear regression - - ################################################## - - - Hneg = H[T[:,3]==1] - Tneg = T[T[:,3]==1] - HHneg = np.dot(Hneg.T, Hneg) + 1E-6*np.eye(Hneg.shape[1]) - HTneg = np.dot(Hneg.T, Tneg) - - H1 = H[T[:,0]==1] - T1 = T[T[:,0]==1] - HH1 = np.dot(H1.T, H1) + 1E-6*np.eye(H1.shape[1]) - HT1 = np.dot(H1.T, T1) - - H2 = H[T[:,1]==1] - T2 = T[T[:,1]==1] - #H2 = H[idx] - #T2 = T[idx] - HH2 = np.dot(H2.T, H2) + 1E-6*np.eye(H2.shape[1]) - HT2 = np.dot(H2.T, T2) - - """ - ### RESAMPLING - Nsampl = H2.shape[0] - s = (np.std(X[T[:,0]==1], axis=0) + np.std(X[idx], axis=0) + np.std(X[T[:,2]==1], axis=0)) / 3 - Nres = (np.sum(T[:,0]==1) + np.sum(T[:,2]==1)) / 2 - Xres = np.zeros((Nres, d)) - for i in xrange(Nres): - sampl = X[idx][np.random.randint(Nsampl)] - Xres[i] = sampl + np.random.randn(1,d)*s - H2res = np.dot(Xres,W) + bias - H2res = self.sigm(H2res) - T2res = np.tile(T2[0], (Nres,1)) - H2 = np.vstack((H2, H2res)) - T2 = np.vstack((T2, T2res)) - HH2 = np.dot(H2.T, H2) + 1E-6*np.eye(H2.shape[1]) - HT2 = np.dot(H2.T, T2) - #""" - #Xres=np.zeros((3,2)) - - - H3 = H[T[:,2]==1] - T3 = T[T[:,2]==1] - HH3 = np.dot(H3.T, H3) + 1E-6*np.eye(H3.shape[1]) - HT3 = np.dot(H3.T, T3) - - - N = n*1.0 - #k = np.array([1, 1, 1, 1], dtype=np.float64) - k = np.array([N/H1.shape[0], N/H2.shape[0], N/H3.shape[0]]).astype(np.float64) - k = k / np.sum(k) - HH = k[0]*HH1 + k[1]*HH2 + k[2]*HH3 + 0.01*HHneg - HT = k[0]*HT1 + k[1]*HT2 + k[2]*HT3 + 0.01*HTneg - - - ################################################## - - #HH = H.T.dot(H) + 1E-6*np.eye(H.shape[1]) - #HT = H.T.dot(T) - self.B = np.linalg.lstsq(HH, HT)[0] - - - - - def run(self, X): - H = np.dot(X, self.W) + self.bias - H = self.sigm(H) - return np.dot(H, self.B) - - - -def code(nn): - folder = 'Classification-Iris' - folder = os.path.join(os.path.dirname(__file__), "../datasets", folder) - acc = np.zeros((10,)) - for i in range(10): # 10-fold cross-validation - # get file names - Xtr = np.load(os.path.join(folder, "xtrain_%d.npy" % (i + 1))) - Xts = np.load(os.path.join(folder, "xtest_%d.npy" % (i + 1))) - Ytr = np.load(os.path.join(folder, "ytrain_%d.npy" % (i + 1))) - Yts = np.load(os.path.join(folder, "ytest_%d.npy" % (i + 1))) - # train ELM - Xtr = Xtr[:,2:] - Xts = Xts[:,2:] - Ytr = np.hstack((Ytr[:,:2], Ytr[:,3][:,None])) - Yts = np.hstack((Yts[:,:2], Yts[:,3][:,None])) - - e = elm() - e.train(Xtr, Ytr, nn) - Yh = e.run(Xts) - - # evaluate classification results - Yts = np.argmax(Yts, 1) - Yh = np.argmax(Yh, 1) - acc[i] = float(np.sum(Yh == Yts)) / Yts.shape[0] - return acc - - -def code_show(nn, i): - folder = 'Classification-Iris' - folder = os.path.join(os.path.dirname(__file__), "../datasets", folder) - acc = np.zeros((10,)) - # get file names - Xtr = np.load(os.path.join(folder, "xtrain_%d.npy" % (i + 1))) - Xts = np.load(os.path.join(folder, "xtest_%d.npy" % (i + 1))) - Ytr = np.load(os.path.join(folder, "ytrain_%d.npy" % (i + 1))) - Yts = np.load(os.path.join(folder, "ytest_%d.npy" % (i + 1))) - # train ELM - #Xtr = Xtr[:,2:] - #Xts = Xts[:,2:] - i1 = 0 - i2 = 3 - Xtr = np.vstack((Xtr[:,i1], Xtr[:,i2])).T - Xts = np.vstack((Xts[:,i1], Xts[:,i2])).T - - Ytr = np.hstack((Ytr[:,:2], Ytr[:,3][:,None])) - Yts = np.hstack((Yts[:,:2], Yts[:,3][:,None])) - - #print '1' - #print Xtr[Ytr[:,0]==1].std(axis=0)**2 - #print Xtr[Ytr[:,1]==1].std(axis=0)**2 - - ############################################################ - ### NEGATIVE CLASS SAMPLES - n,d = Xtr.shape - Nneg = n*10 - Yneg = np.tile(np.array([[0,0,0,1]]), (Nneg,1)) - Xneg = np.zeros((Nneg, d)) - s = (np.std(Xtr[Ytr[:,0]==1]) + np.std(Xtr[Ytr[:,1]==1]) + np.std(Xtr[Ytr[:,2]==1])) / 3 - for i in xrange(Nneg): - sample = Xtr[np.random.randint(n)] + np.random.randn(1,2)*0.1 - Xneg[i] = sample - #while True: - #dist = cdist(sample, Xtr, "euclidean") - #if np.min(dist) > s: - #if np.sum(sample**2)**0.5 > 3: - # Xneg[i] = sample - # break - - Ytr = np.hstack((Ytr, np.zeros((n,1)))) - Ytr = np.vstack((Ytr, Yneg)) - Xtr = np.vstack((Xtr, Xneg)) - m2 = Xtr.mean(0) - s2 = Xtr.std(0) - #Xtr = (Xtr - m2) / s2 - - ############################################################ - - # prepare mesh grid - sz = 8 - x = np.arange(-sz, sz, 0.1) - y = np.arange(-sz, sz, 0.1) - n = x.shape[0] - xm, ym = np.meshgrid(x, y) - D = np.vstack((xm.ravel(), ym.ravel())).T - - # reduce number of samples of one class - N2 = 2 - idx = np.where(Ytr[:,1]==1)[0] - np.random.shuffle(idx) - idx = idx[:N2] - idx = np.array([21, 76]) - print idx - - # average over many runs - Z = [] - acc = [] - for _ in range(1000): - - e = elm() - e.train(Xtr, Ytr, nn, idx) - - # evaluate classification results - Yh = e.run(Xts) - Yts1 = np.argmax(Yts, 1) - Yh1 = np.argmax(Yh, 1) - acc.append(float(np.sum(Yh1 == Yts1)) / Yts1.shape[0]) - - # show plot - Z.append(e.run(D)) - - Z = np.array(Z).mean(0) - print "acc:", np.mean(acc) - - I = Z.copy() - Z[Z<0] = 0 - I[I<0] = 0 - I = I.reshape(n,n,4) - I = I / I.max(axis=2)[:,:,None] - - I = I[::-1, :, :3] - - - plt.imshow(I, extent=[-sz, sz, -sz, sz]) - plt.xlim([-sz, sz]) - plt.ylim([-sz, sz]) - #cl = 1 - #plt.contour(xm, ym, Z[:,cl].reshape(n,n), colors='k') - #plt.contourf(xm, ym, Z[:,cl].reshape(n,n), cmap=plt.cm.bone) - #plt.scatter(D[:,0], D[:,1], s=Z[:,0]) - - #Xa = np.vstack((Xtr, Xts)) - #Ya = np.vstack((Ytr, Yts)) - #plt.scatter(Xa[:,0], Xa[:,1], c=Ya) - #plt.scatter(Xtr[:,0], Xtr[:,1], c=Ytr) - plt.scatter(Xtr[Ytr[:,0]==1,0], Xtr[Ytr[:,0]==1,1], c=Ytr[Ytr[:,0]==1]) - plt.scatter(Xtr[Ytr[:,1]==1,0], Xtr[Ytr[:,1]==1,1], c=Ytr[Ytr[:,1]==1]) - #plt.scatter(Xtr[idx,0], Xtr[idx,1], c=Ytr[idx]) - plt.scatter(Xtr[Ytr[:,2]==1,0], Xtr[Ytr[:,2]==1,1], c=Ytr[Ytr[:,2]==1]) - plt.scatter(Xtr[Ytr[:,3]==1,0], Xtr[Ytr[:,3]==1,1], marker='+', c=[0,0,0]) - plt.show() - - - - - -if __name__ == "__main__": - nn = 7 - #m = [] - #for _ in range(100): - # acc = code(nn) - # m.append(np.mean(acc)) - #m = np.array(m)*100 - #print "%.1f+-%.1f" % (np.mean(m), np.std(m)) - - code_show(nn, 0) - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/develop_os/OS-ELM/HardlimActFun.m b/develop_os/OS-ELM/HardlimActFun.m deleted file mode 100755 index e296d7a..0000000 --- a/develop_os/OS-ELM/HardlimActFun.m +++ /dev/null @@ -1,7 +0,0 @@ -function H = HardlimActFun(P,IW,Bias); - -%%%%%%%% Feedforward neural network using hardlim activation function -V=P*IW'; ind=ones(1,size(P,1)); -BiasMatrix=Bias(ind,:); -V=V+BiasMatrix; -H = hardlim(V); \ No newline at end of file diff --git a/develop_os/OS-ELM/OSELM.m b/develop_os/OS-ELM/OSELM.m deleted file mode 100755 index e539e16..0000000 --- a/develop_os/OS-ELM/OSELM.m +++ /dev/null @@ -1,205 +0,0 @@ -function [TrainingTime, TestingTime, TrainingAccuracy, TestingAccuracy] = OSELM(TrainingData_File, TestingData_File, Elm_Type, nHiddenNeurons, ActivationFunction, N0, Block) - -% Usage: OSELM(TrainingData_File, TestingData_File, Elm_Type, NumberofHiddenNeurons, ActivationFunction, N0, Block) -% OR: [TrainingTime, TestingTime, TrainingAccuracy, TestingAccuracy] = OSELM(TrainingData_File, TestingData_File, Elm_Type, NumberofHiddenNeurons, ActivationFunction, N0, Block) -% -% Input: -% TrainingData_File - Filename of training data set -% TestingData_File - Filename of testing data set -% Elm_Type - 0 for regression; 1 for (both binary and multi-classes) classification -% nHiddenNeurons - Number of hidden neurons assigned to the OSELM -% ActivationFunction - Type of activation function: -% 'rbf' for radial basis function, G(a,b,x) = exp(-b||x-a||^2) -% 'sig' for sigmoidal function, G(a,b,x) = 1/(1+exp(-(ax+b))) -% 'sin' for sine function, G(a,b,x) = sin(ax+b) -% 'hardlim' for hardlim function, G(a,b,x) = hardlim(ax+b) -% N0 - Number of initial training data used in the initial phase of OSLEM, which is not less than the number of hidden neurons -% Block - Size of block of data learned by OSELM in each step -% -% Output: -% TrainingTime - Time (seconds) spent on training OSELM -% TestingTime - Time (seconds) spent on predicting all testing data -% TrainingAccuracy - Training accuracy: -% RMSE for regression or correct classification rate for classifcation -% TestingAccuracy - Testing accuracy: -% RMSE for regression or correct classification rate for classifcation -% -% MULTI-CLASSE CLASSIFICATION: NUMBER OF OUTPUT NEURONS WILL BE AUTOMATICALLY SET EQUAL TO NUMBER OF CLASSES -% FOR EXAMPLE, if there are 7 classes in all, there will have 7 output -% neurons; neuron 5 has the highest output means input belongs to 5-th class -% -% Sample1 regression: OSELM('mpg_train', 'mpg_test', 0, 25, 'rbf', 75, 1); -% Sample2 classification: OSELM('segment_train', 'segment_test', 1, 180, 'sig', 280, 20); - - %%%% Authors: - %%%% NANYANG TECHNOLOGICAL UNIVERSITY, SINGAPORE - %%%% EMAIL: - %%%% WEBSITE: - %%%% DATE: - -%%%%%%%%%%% Macro definition -REGRESSION=0; -CLASSIFICATION=1; - -%%%%%%%%%%% Load dataset -train_data=load(TrainingData_File); test_data=load(TestingData_File); -T=train_data(:,1); P=train_data(:,2:size(train_data,2)); -TV.T=test_data(:,1); TV.P=test_data(:,2:size(test_data,2)); -clear train_data test_data; - -nTrainingData=size(P,1); -nTestingData=size(TV.P,1); -nInputNeurons=size(P,2); - -%%%%%%%%%%%% Preprocessing T in the case of CLASSIFICATION -if Elm_Type==CLASSIFICATION - sorted_target=sort(cat(1,T,TV.T),1); - label=zeros(1,1); % Find and save in 'label' class label from training and testing data sets - label(1,1)=sorted_target(1,1); - j=1; - for i = 2:(nTrainingData+nTestingData) - if sorted_target(i,1) ~= label(j,1) - j=j+1; - label(j,1) = sorted_target(i,1); - end - end - nClass=j; - nOutputNeurons=nClass; - - %%%%%%%%%% Processing the targets of training - temp_T=zeros(nTrainingData,nClass); - for i = 1:nTrainingData - for j = 1:nClass - if label(j,1) == T(i,1) - break; - end - end - temp_T(i,j)=1; - end - T=temp_T*2-1; - - %%%%%%%%%% Processing the targets of testing - temp_TV_T=zeros(nTestingData,nClass); - for i = 1:nTestingData - for j = 1:nClass - if label(j,1) == TV.T(i,1) - break; - end - end - temp_TV_T(i,j)=1; - end - TV.T=temp_TV_T*2-1; -end -clear temp_T temp_TV_T sorted_target - -start_time_train=cputime; -%%%%%%%%%%% step 1 Initialization Phase -P0=P(1:N0,:); -T0=T(1:N0,:); - -IW = rand(nHiddenNeurons,nInputNeurons)*2-1; -switch lower(ActivationFunction) - case{'rbf'} - Bias = rand(1,nHiddenNeurons); -% Bias = rand(1,nHiddenNeurons)*1/3+1/11; %%%%%%%%%%%%% for the cases of Image Segment and Satellite Image -% Bias = rand(1,nHiddenNeurons)*1/20+1/60; %%%%%%%%%%%%% for the case of DNA - H0 = RBFun(P0,IW,Bias); - case{'sig'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = SigActFun(P0,IW,Bias); - case{'sin'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = SinActFun(P0,IW,Bias); - case{'hardlim'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = HardlimActFun(P0,IW,Bias); - H0 = double(H0); -end - -M = pinv(H0' * H0); -beta = pinv(H0) * T0; -clear P0 T0 H0; - -%%%%%%%%%%%%% step 2 Sequential Learning Phase -for n = N0 : Block : nTrainingData - if (n+Block-1) > nTrainingData - Pn = P(n:nTrainingData,:); Tn = T(n:nTrainingData,:); - Block = size(Pn,1); %%%% correct the block size - clear V; %%%% correct the first dimention of V - else - Pn = P(n:(n+Block-1),:); Tn = T(n:(n+Block-1),:); - end - - switch lower(ActivationFunction) - case{'rbf'} - H = RBFun(Pn,IW,Bias); - case{'sig'} - H = SigActFun(Pn,IW,Bias); - case{'sin'} - H = SinActFun(Pn,IW,Bias); - case{'hardlim'} - H = HardlimActFun(Pn,IW,Bias); - end - M = M - M * H' * (eye(Block) + H * M * H')^(-1) * H * M; - beta = beta + M * H' * (Tn - H * beta); -end -end_time_train=cputime; -TrainingTime=end_time_train-start_time_train -clear Pn Tn H M; - -switch lower(ActivationFunction) - case{'rbf'} - HTrain = RBFun(P, IW, Bias); - case{'sig'} - HTrain = SigActFun(P, IW, Bias); - case{'sin'} - HTrain = SinActFun(P, IW, Bias); - case{'hardlim'} - HTrain = HardlimActFun(P, IW, Bias); -end -Y=HTrain * beta; -clear HTrain; - -%%%%%%%%%%% Performance Evaluation -start_time_test=cputime; -switch lower(ActivationFunction) - case{'rbf'} - HTest = RBFun(TV.P, IW, Bias); - case{'sig'} - HTest = SigActFun(TV.P, IW, Bias); - case{'sin'} - HTest = SinActFun(TV.P, IW, Bias); - case{'hardlim'} - HTest = HardlimActFun(TV.P, IW, Bias); -end -TY=HTest * beta; -clear HTest; -end_time_test=cputime; -TestingTime=end_time_test-start_time_test - -if Elm_Type == REGRESSION - %%%%%%%%%%%%%% Calculate RMSE in the case of REGRESSION - TrainingAccuracy=sqrt(mse(T - Y)) - TestingAccuracy=sqrt(mse(TV.T - TY)) -elseif Elm_Type == CLASSIFICATION -%%%%%%%%%% Calculate correct classification rate in the case of CLASSIFICATION - MissClassificationRate_Training=0; - MissClassificationRate_Testing=0; - - for i = 1 : nTrainingData - [x, label_index_expected]=max(T(i,:)); - [x, label_index_actual]=max(Y(i,:)); - if label_index_actual~=label_index_expected - MissClassificationRate_Training=MissClassificationRate_Training+1; - end - end - TrainingAccuracy=1-MissClassificationRate_Training/nTrainingData - for i = 1 : nTestingData - [x, label_index_expected]=max(TV.T(i,:)); - [x, label_index_actual]=max(TY(i,:)); - if label_index_actual~=label_index_expected - MissClassificationRate_Testing=MissClassificationRate_Testing+1; - end - end - TestingAccuracy=1-MissClassificationRate_Testing/nTestingData -end \ No newline at end of file diff --git a/develop_os/OS-ELM/OSELM_VARY.m b/develop_os/OS-ELM/OSELM_VARY.m deleted file mode 100755 index 12948a1..0000000 --- a/develop_os/OS-ELM/OSELM_VARY.m +++ /dev/null @@ -1,206 +0,0 @@ -function [TrainingTime, TestingTime, TrainingAccuracy, TestingAccuracy] = OSELM_VARY(TrainingData_File, TestingData_File, Elm_Type, nHiddenNeurons, ActivationFunction, N0, Block_Range) - -% Usage: OSELM_VARY(TrainingData_File, TestingData_File, Elm_Type, NumberofHiddenNeurons, ActivationFunction, N0, Block_Range) -% OR: [TrainingTime, TestingTime, TrainingAccuracy, TestingAccuracy] = OSELM_VARY(TrainingData_File, TestingData_File, Elm_Type, NumberofHiddenNeurons, ActivationFunction, N0, Block_Range) -% -% Input: -% TrainingData_File - Filename of training data set -% TestingData_File - Filename of testing data set -% Elm_Type - 0 for regression; 1 for (both binary and multi-classes) classification -% nHiddenNeurons - Number of hidden neurons assigned to the OSELM -% ActivationFunction - Type of activation function: -% 'rbf' for radial basis function, G(a,b,x) = exp(-b||x-a||^2) -% 'sig' for sigmoidal function, G(a,b,x) = 1/(1+exp(-(ax+b))) -% 'sin' for sine function, G(a,b,x) = sin(ax+b) -% 'hardlim' for hardlim function, G(a,b,x) = hardlim(ax+b) -% N0 - Number of initial training data used in the initial phase of OSLEM, which is not less than the number of hidden neurons -% Block_Range - Range from wich the size of data block randomly generated in each iteration of sequential learning phase -% -% Output: -% TrainingTime - Time (seconds) spent on training OSELM -% TestingTime - Time (seconds) spent on predicting all testing data -% TrainingAccuracy - Training accuracy: -% RMSE for regression or correct classification rate for classifcation -% TestingAccuracy - Testing accuracy: -% RMSE for regression or correct classification rate for classifcation -% -% MULTI-CLASSE CLASSIFICATION: NUMBER OF OUTPUT NEURONS WILL BE AUTOMATICALLY SET EQUAL TO NUMBER OF CLASSES -% FOR EXAMPLE, if there are 7 classes in all, there will have 7 output -% neurons; neuron 5 has the highest output means input belongs to 5-th class -% -% Sample1 regression: OSELM_VARY('mpg_train', 'mpg_test', 0, 25, 'rbf', 75, [10,30]); -% Sample2 classification: OSELM_VARY('segment_train', 'segment_test', 1, 180, 'sig', 280, [10,30]); - - %%%% Authors: - %%%% NANYANG TECHNOLOGICAL UNIVERSITY, SINGAPORE - %%%% EMAIL: - %%%% WEBSITE: - %%%% DATE: - -%%%%%%%%%%% Macro definition -REGRESSION=0; -CLASSIFICATION=1; - -%%%%%%%%%%% Load dataset -train_data=load(TrainingData_File); test_data=load(TestingData_File); -T=train_data(:,1); P=train_data(:,2:size(train_data,2)); -TV.T=test_data(:,1); TV.P=test_data(:,2:size(test_data,2)); -clear train_data test_data; - -nTrainingData=size(P,1); -nTestingData=size(TV.P,1); -nInputNeurons=size(P,2); - -%%%%%%%%%%%% Preprocessing T in the case of CLASSIFICATION -if Elm_Type==CLASSIFICATION - sorted_target=sort(cat(1,T,TV.T),1); - label=zeros(1,1); % Find and save in 'label' class label from training and testing data sets - label(1,1)=sorted_target(1,1); - j=1; - for i = 2:(nTrainingData+nTestingData) - if sorted_target(i,1) ~= label(j,1) - j=j+1; - label(j,1) = sorted_target(i,1); - end - end - nClass=j; - nOutputNeurons=nClass; - - %%%%%%%%%% Processing the targets of training - temp_T=zeros(nTrainingData,nClass); - for i = 1:nTrainingData - for j = 1:nClass - if label(j,1) == T(i,1) - break; - end - end - temp_T(i,j)=1; - end - T=temp_T*2-1; - - %%%%%%%%%% Processing the targets of testing - temp_TV_T=zeros(nTestingData,nClass); - for i = 1:nTestingData - for j = 1:nClass - if label(j,1) == TV.T(i,1) - break; - end - end - temp_TV_T(i,j)=1; - end - TV.T=temp_TV_T*2-1; -end -clear temp_T temp_TV_T sorted_target - -start_time_train=cputime; -%%%%%%%%%%% step 1 Initialization Phase -P0=P(1:N0,:); -T0=T(1:N0,:); - -IW = rand(nHiddenNeurons,nInputNeurons)*2-1; -switch lower(ActivationFunction) - case{'rbf'} - Bias = rand(1,nHiddenNeurons); -% Bias = rand(1,nHiddenNeurons)*1/3+1/11; %%%%%%%%%%%%% for the cases of Image Segment and Satellite Image -% Bias = rand(1,nHiddenNeurons)*1/20+1/60; %%%%%%%%%%%%% for the case of DNA - H0 = RBFun(P0,IW,Bias); - case{'sig'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = SigActFun(P0,IW,Bias); - case{'sin'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = SinActFun(P0,IW,Bias); - case{'hardlim'} - Bias = rand(1,nHiddenNeurons)*2-1; - H0 = HardlimActFun(P0,IW,Bias); - H0 = double(H0); -end - -M = pinv(H0' * H0); -beta = pinv(H0) * T0; -clear P0 T0 H0; - -%%%%%%%%%%%%% step 2 Sequential Learning Phase -n = N0 + 1; -while n <= nTrainingData - Block = randint(1,1,Block_Range); - if (n+Block-1) > nTrainingData - Pn = P(n:nTrainingData,:); Tn = T(n:nTrainingData,:); - Block = size(Pn,1); %%%% correct the block size - else - Pn = P(n:(n+Block-1),:); Tn = T(n:(n+Block-1),:); - end - switch lower(ActivationFunction) - case{'rbf'} - H = RBFun(Pn,IW,Bias); - case{'sig'} - H = SigActFun(Pn,IW,Bias); - case{'sin'} - H = SinActFun(Pn,IW,Bias); - case{'hardlim'} - H = HardlimActFun(Pn,IW,Bias); - end - M = M - M * H' * (eye(Block) + H * M * H')^(-1) * H * M; - beta = beta + M * H' * (Tn - H * beta); - n = n + Block; -end -end_time_train=cputime; -TrainingTime=end_time_train-start_time_train -clear Pn Tn H M; - -switch lower(ActivationFunction) - case{'rbf'} - HTrain = RBFun(P, IW, Bias); - case{'sig'} - HTrain = SigActFun(P, IW, Bias); - case{'sin'} - HTrain = SinActFun(P, IW, Bias); - case{'hardlim'} - HTrain = HardlimActFun(P, IW, Bias); -end -Y=HTrain * beta; -clear HTrain; - -%%%%%%%%%%% Performance Evaluation -start_time_test=cputime; -switch lower(ActivationFunction) - case{'rbf'} - HTest = RBFun(TV.P, IW, Bias); - case{'sig'} - HTest = SigActFun(TV.P, IW, Bias); - case{'sin'} - HTest = SinActFun(TV.P, IW, Bias); - case{'hardlim'} - HTest = HardlimActFun(TV.P, IW, Bias); -end -TY=HTest * beta; -clear HTest; -end_time_test=cputime; -TestingTime=end_time_test-start_time_test - -if Elm_Type == REGRESSION - %%%%%%%%%%%%%% Calculate RMSE in the case of REGRESSION - TrainingAccuracy=sqrt(mse(T - Y)) - TestingAccuracy=sqrt(mse(TV.T - TY)) -elseif Elm_Type == CLASSIFICATION -%%%%%%%%%% Calculate correct classification rate in the case of CLASSIFICATION - MissClassificationRate_Training=0; - MissClassificationRate_Testing=0; - - for i = 1 : nTrainingData - [x, label_index_expected]=max(T(i,:)); - [x, label_index_actual]=max(Y(i,:)); - if label_index_actual~=label_index_expected - MissClassificationRate_Training=MissClassificationRate_Training+1; - end - end - TrainingAccuracy=1-MissClassificationRate_Training/nTrainingData - for i = 1 : nTestingData - [x, label_index_expected]=max(TV.T(i,:)); - [x, label_index_actual]=max(TY(i,:)); - if label_index_actual~=label_index_expected - MissClassificationRate_Testing=MissClassificationRate_Testing+1; - end - end - TestingAccuracy=1-MissClassificationRate_Testing/nTestingData -end \ No newline at end of file diff --git a/develop_os/OS-ELM/RBFun.m b/develop_os/OS-ELM/RBFun.m deleted file mode 100755 index 7950d77..0000000 --- a/develop_os/OS-ELM/RBFun.m +++ /dev/null @@ -1,12 +0,0 @@ -function H = RBFun(P,IW,Bias); - -%%%%%%%% RBF network using Gaussian kernel -ind=ones(size(P,1),1); -for i=1:size(IW,1) - Weight=IW(i,:); - WeightMatrix=Weight(ind,:); - V(:,i)=-sum((P-WeightMatrix).^2,2); -end -BiasMatrix=Bias(ind,:); -V=V.*BiasMatrix; -H=exp(V); \ No newline at end of file diff --git a/develop_os/OS-ELM/SigActFun.m b/develop_os/OS-ELM/SigActFun.m deleted file mode 100755 index 5a34025..0000000 --- a/develop_os/OS-ELM/SigActFun.m +++ /dev/null @@ -1,7 +0,0 @@ -function H = SigActFun(P,IW,Bias); - -%%%%%%%% Feedforward neural network using sigmoidal activation function -V=P*IW'; ind=ones(1,size(P,1)); -BiasMatrix=Bias(ind,:); -V=V+BiasMatrix; -H = 1./(1+exp(-V)); \ No newline at end of file diff --git a/develop_os/OS-ELM/SinActFun.m b/develop_os/OS-ELM/SinActFun.m deleted file mode 100755 index a4dc7ad..0000000 --- a/develop_os/OS-ELM/SinActFun.m +++ /dev/null @@ -1,7 +0,0 @@ -function H = SinActFun(P,IW,Bias); - -%%%%%%%% Feedforward neural network using sine activation function -V=P*IW'; ind=ones(1,size(P,1)); -BiasMatrix=Bias(ind,:); -V=V+BiasMatrix; -H = sin(V); \ No newline at end of file diff --git a/develop_os/testMYELM.py b/develop_os/testMYELM.py deleted file mode 100644 index 51ed6a1..0000000 --- a/develop_os/testMYELM.py +++ /dev/null @@ -1,55 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu Mar 5 18:18:35 2015 - -@author: akusok -""" - -import numpy as np -from numpy.linalg import pinv, inv, norm -from numpy import dot - -#@profile -def prepare(): - N = 125 - nn = 5 - o = 2 - H = np.random.randn(N, nn) - W = np.random.randn(nn, o) - T = dot(H,W) + np.random.randn(N,o)*(0.01/6) - - # basic - HH = H.T.dot(H) - HT = H.T.dot(T) - P = inv(HH) - B = P.dot(HT) - - # 10-N - j = 10 - H0 = H[j:] - T0 = T[j:] - HH0 = H0.T.dot(H0) - HT0 = H0.T.dot(T0) - P0 = inv(HH0) - B0 = P0.dot(HT0) - - - # N substract 10 - H1 = H[:j] - T1 = T[:j] - #a = inv(np.eye(j) + H1.dot(P0).dot(H1.T)) # + - #P1 = P0 - P0.dot(H1.T).dot(a).dot(H1).dot(P0) # - - #B1 = P1.dot(H1.T).dot(T1) + (np.eye(nn) - P1.dot(H1.T).dot(H1)).dot(B0) # + - - - a = inv(np.eye(j) - H1.dot(P).dot(H1.T)) # + - P1 = P + P.dot(H1.T).dot(a).dot(H1).dot(P) # - - #P1 = inv(HH - H1.T.dot(H1)) - B1 = B - P1.dot(H1.T).dot(T1) + P1.dot(H1.T).dot(H1).dot(B) # + - - - - print norm(B0-B1) - -prepare() -print "Done" - - diff --git a/develop_os/testOSELM.py b/develop_os/testOSELM.py deleted file mode 100644 index e06d558..0000000 --- a/develop_os/testOSELM.py +++ /dev/null @@ -1,58 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu Mar 5 18:18:35 2015 - -@author: akusok -""" - -import numpy as np -from numpy.linalg import pinv, inv, norm -from numpy import dot - -def prepare(): - N = 125 - nn = 5 - o = 2 - H = np.random.randn(N, nn) - W = np.random.randn(nn, o) - T = dot(H,W) + np.random.randn(N,o)*(0.01/6) - return H, T - -@profile -def runall(H,T): - _ = inv(H.T.dot(H)) - B = run1(H,T) - B1 = run2(H,T) - return B, B1 - -@profile -def run1(H,T): - # basic - HH = H.T.dot(H) - HT = H.T.dot(T) - P = inv(HH) - B = P.dot(HT) - return B - -@profile -def run2(H,T): - # OS - j = 5 - H0 = H[:-j] - H1 = H[-j:] - T0 = T[:-j] - T1 = T[-j:] - K0 = dot(H0.T, H0) - P0 = inv(K0) - a = inv(np.eye(j) + H1.dot(P0).dot(H1.T)) - P1 = P0 - P0.dot(H1.T).dot(a).dot(H1).dot(P0) - B0 = P0.dot(H0.T.dot(T0)) - B1 = B0 + P1.dot(H1.T.dot(T1) - H1.T.dot(H1).dot(B0)) - return B1 - -h,t = prepare() -b,b1 = runall(h,t) -print norm(b-b1) -print "Done" - - diff --git a/develop_solver/When to Use Double Precision under NVIDIA Control Panel Manage 3D Settings - EVGA Forums.htm b/develop_solver/When to Use Double Precision under NVIDIA Control Panel Manage 3D Settings - EVGA Forums.htm deleted file mode 100644 index 261871c..0000000 --- a/develop_solver/When to Use Double Precision under NVIDIA Control Panel Manage 3D Settings - EVGA Forums.htm +++ /dev/null @@ -1,1643 +0,0 @@ - - - - - - - - - When to Use Double Precision under NVIDIA Control Panel Manage 3D Settings - EVGA Forums - - - - - - - - - -
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- Hot!When to Use Double Precision under NVIDIA Control Panel Manage 3D Settings -

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- - - - Monday, November 17, 2014 1:42 AM - - (permalink) - - - -
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- - For Crunching or Folding on Titans, I noted a new setting in under the NVIDIA Control Panel Manage 3D Settings.
When would we want to use this setting? The Default is None.
 



 
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post edited by bcavnaugh - Monday, November 17, 2014 1:45 AM
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    - - PrimeGrid's GFN work units and Milkyway's work units for - GPU's would require double precision. However, I don't have any Titan's - and therefore don't know if you really have to toggle it or not.
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    cuarc001
    PrimeGrid's - GFN work units and Milkyway's work units for GPU's would require double - precision. However, I don't have any Titan's and therefore don't know -if you really have to toggle it or not.


    Thanks,
    I run both now but gave never added more with this toggle.
    For Milkyway I really would not see any real change but maybe for GFN I would.
    I will have to test this then:
     
    Down to only 100 Hours.

     
    Looks like it settled Down to only 95 Hours.

     
    Generalized Fermat Prime Search n=20 (GFN-Short)
    b1048576+1 (or b220+1)
    Recent average GPU time: 15:55:10
     
    Generalized Fermat Prime Search World Record n=22 (GFN-WR)
    b4194304+1 (or b222+1)
    Recent average GPU time: 129:43:43
    CUDA Run

     
    Next I will run only OpenCL and now the wait and see starts.
     
     
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    I see no real CPU Usage.

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    - - I recall a post from a user on Milkyway@Home who tested -the Titan with double precision mode enabled. He or she had to run -multiple tasks at a time with an app_info.xml to see closer to full -benefit of what the Titan could do. For some reason, running a single -task did not scale well like it does with the AMD 7970.
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    - - I have to LONG running tasks running but they only run 10 to 12 hours a day.

    I might be able to add Milkyway@Home to my 3rd card and split it in to 3 Tasks at once.
     
    Will Post what I see.
    I will say I remember that before it would take 11-12 minutes to complete and now they start at less the 7 minutes.
    First Run Completed in 6.02 minutes. But also I have no real use of my computer when running all three cards.

     
    I to might be that I am using Driver 344.75 now.
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i=a?a.position:null; -if(i&&(i==="absolute")){break; -}}}return new Sys.UI.Point(f,g); -}; -}else{$telerik.originalGetLocation=function(c){var b=Function._validateParams(arguments,[{name:"element",domElement:true}]); -if(b){throw b; -}if((c.window&&(c.window===c))||c.nodeType===9){return new Sys.UI.Point(0,0); -}var f=0,g=0,h,i=null,j=null,a=null; -for(h=c; -h; -i=h,j=a,h=h.offsetParent){var k=h.tagName?h.tagName.toUpperCase():null; -a=Sys.UI.DomElement._getCurrentStyle(h); -if((h.offsetLeft||h.offsetTop)&&!((k==="BODY")&&(!j||j.position!=="absolute"))){f+=h.offsetLeft; -g+=h.offsetTop; -}if(i!==null&&a){if((k!=="TABLE")&&(k!=="TD")&&(k!=="HTML")){f+=parseInt(a.borderLeftWidth)||0; -g+=parseInt(a.borderTopWidth)||0; -}if(k==="TABLE"&&(a.position==="relative"||a.position==="absolute")){f+=parseInt(a.marginLeft)||0; -g+=parseInt(a.marginTop)||0; -}}}a=Sys.UI.DomElement._getCurrentStyle(c); -var d=a?a.position:null; -if(!d||(d!=="absolute")){for(h=c.parentNode; -h; 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