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array.c
1783 lines (1629 loc) · 48.1 KB
/
array.c
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/*
* R : A Computer Language for Statistical Data Analysis
* Copyright (C) 1995, 1996 Robert Gentleman and Ross Ihaka
* Copyright (C) 1998-2015 The R Core Team
* Copyright (C) 2002-2015 The R Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, a copy is available at
* https://www.R-project.org/Licenses/
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <Defn.h>
#include <Internal.h>
#include <Rmath.h>
#include <R_ext/RS.h> /* for Calloc/Free */
#include <R_ext/Applic.h> /* for dgemm */
#include <R_ext/Itermacros.h>
#include "duplicate.h"
/* "GetRowNames" and "GetColNames" are utility routines which
* locate and return the row names and column names from the
* dimnames attribute of a matrix. They are useful because
* old versions of R used pair-based lists for dimnames
* whereas recent versions use vector based lists.
* These are now very old, plus
* ``When the "dimnames" attribute is
* grabbed off an array it is always adjusted to be a vector.''
They are used in bind.c and subset.c, and advertised in Rinternals.h
*/
SEXP GetRowNames(SEXP dimnames)
{
if (TYPEOF(dimnames) == VECSXP)
return VECTOR_ELT(dimnames, 0);
else
return R_NilValue;
}
SEXP GetColNames(SEXP dimnames)
{
if (TYPEOF(dimnames) == VECSXP)
return VECTOR_ELT(dimnames, 1);
else
return R_NilValue;
}
SEXP attribute_hidden do_matrix(SEXP call, SEXP op, SEXP args, SEXP rho)
{
SEXP vals, ans, snr, snc, dimnames;
int nr = 1, nc = 1, byrow, miss_nr, miss_nc;
R_xlen_t lendat;
checkArity(op, args);
vals = CAR(args); args = CDR(args);
switch(TYPEOF(vals)) {
case LGLSXP:
case INTSXP:
case REALSXP:
case CPLXSXP:
case STRSXP:
case RAWSXP:
case EXPRSXP:
case VECSXP:
break;
default:
error(_("'data' must be of a vector type, was '%s'"),
type2char(TYPEOF(vals)));
}
lendat = XLENGTH(vals);
snr = CAR(args); args = CDR(args);
snc = CAR(args); args = CDR(args);
byrow = asLogical(CAR(args)); args = CDR(args);
if (byrow == NA_INTEGER)
error(_("invalid '%s' argument"), "byrow");
dimnames = CAR(args);
args = CDR(args);
miss_nr = asLogical(CAR(args)); args = CDR(args);
miss_nc = asLogical(CAR(args));
if (!miss_nr) {
if (!isNumeric(snr)) error(_("non-numeric matrix extent"));
nr = asInteger(snr);
if (nr == NA_INTEGER)
error(_("invalid 'nrow' value (too large or NA)"));
if (nr < 0)
error(_("invalid 'nrow' value (< 0)"));
}
if (!miss_nc) {
if (!isNumeric(snc)) error(_("non-numeric matrix extent"));
nc = asInteger(snc);
if (nc == NA_INTEGER)
error(_("invalid 'ncol' value (too large or NA)"));
if (nc < 0)
error(_("invalid 'ncol' value (< 0)"));
}
if (miss_nr && miss_nc) {
if (lendat > INT_MAX) error("data is too long");
nr = (int) lendat;
} else if (miss_nr) {
if (lendat > (double) nc * INT_MAX) error("data is too long");
// avoid division by zero
if (nc == 0) {
if (lendat) error(_("nc = 0 for non-null data"));
else nr = 0;
} else
nr = (int) ceil((double) lendat / (double) nc);
} else if (miss_nc) {
if (lendat > (double) nr * INT_MAX) error("data is too long");
// avoid division by zero
if (nr == 0) {
if (lendat) error(_("nr = 0 for non-null data"));
else nc = 0;
} else
nc = (int) ceil((double) lendat / (double) nr);
}
if(lendat > 0) {
R_xlen_t nrc = (R_xlen_t) nr * nc;
if (lendat > 1 && nrc % lendat != 0) {
if (((lendat > nr) && (lendat / nr) * nr != lendat) ||
((lendat < nr) && (nr / lendat) * lendat != nr))
warning(_("data length [%d] is not a sub-multiple or multiple of the number of rows [%d]"), lendat, nr);
else if (((lendat > nc) && (lendat / nc) * nc != lendat) ||
((lendat < nc) && (nc / lendat) * lendat != nc))
warning(_("data length [%d] is not a sub-multiple or multiple of the number of columns [%d]"), lendat, nc);
}
else if ((lendat > 1) && (nrc == 0)){
warning(_("data length exceeds size of matrix"));
}
}
#ifndef LONG_VECTOR_SUPPORT
if ((double)nr * (double)nc > INT_MAX)
error(_("too many elements specified"));
#endif
PROTECT(ans = allocMatrix(TYPEOF(vals), nr, nc));
if(lendat) {
if (isVector(vals))
copyMatrix(ans, vals, byrow);
else
copyListMatrix(ans, vals, byrow);
} else if (isVector(vals)) { /* fill with NAs */
R_xlen_t N = (R_xlen_t) nr * nc, i;
switch(TYPEOF(vals)) {
case STRSXP:
for (i = 0; i < N; i++)
SET_STRING_ELT(ans, i, NA_STRING);
break;
case LGLSXP:
for (i = 0; i < N; i++)
LOGICAL(ans)[i] = NA_LOGICAL;
break;
case INTSXP:
for (i = 0; i < N; i++)
INTEGER(ans)[i] = NA_INTEGER;
break;
case REALSXP:
for (i = 0; i < N; i++)
REAL(ans)[i] = NA_REAL;
break;
case CPLXSXP:
{
Rcomplex na_cmplx;
na_cmplx.r = NA_REAL;
na_cmplx.i = 0;
for (i = 0; i < N; i++)
COMPLEX(ans)[i] = na_cmplx;
}
break;
case RAWSXP:
if (N) memset(RAW(ans), 0, N);
break;
default:
/* don't fill with anything */
;
}
}
if(!isNull(dimnames)&& length(dimnames) > 0)
ans = dimnamesgets(ans, dimnames);
UNPROTECT(1);
return ans;
}
SEXP allocMatrix(SEXPTYPE mode, int nrow, int ncol)
{
SEXP s, t;
R_xlen_t n;
if (nrow < 0 || ncol < 0)
error(_("negative extents to matrix"));
#ifndef LONG_VECTOR_SUPPORT
if ((double)nrow * (double)ncol > INT_MAX)
error(_("allocMatrix: too many elements specified"));
#endif
n = ((R_xlen_t) nrow) * ncol;
PROTECT(s = allocVector(mode, n));
PROTECT(t = allocVector(INTSXP, 2));
INTEGER(t)[0] = nrow;
INTEGER(t)[1] = ncol;
setAttrib(s, R_DimSymbol, t);
UNPROTECT(2);
return s;
}
/**
* Allocate a 3-dimensional array
*
* @param mode The R mode (e.g. INTSXP)
* @param nrow number of rows
* @param ncol number of columns
* @param nface number of faces
*
* @return A 3-dimensional array of the indicated dimensions and mode
*/
SEXP alloc3DArray(SEXPTYPE mode, int nrow, int ncol, int nface)
{
SEXP s, t;
R_xlen_t n;
if (nrow < 0 || ncol < 0 || nface < 0)
error(_("negative extents to 3D array"));
#ifndef LONG_VECTOR_SUPPORT
if ((double)nrow * (double)ncol * (double)nface > INT_MAX)
error(_("'alloc3Darray': too many elements specified"));
#endif
n = ((R_xlen_t) nrow) * ncol * nface;
PROTECT(s = allocVector(mode, n));
PROTECT(t = allocVector(INTSXP, 3));
INTEGER(t)[0] = nrow;
INTEGER(t)[1] = ncol;
INTEGER(t)[2] = nface;
setAttrib(s, R_DimSymbol, t);
UNPROTECT(2);
return s;
}
SEXP allocArray(SEXPTYPE mode, SEXP dims)
{
SEXP array;
int i;
R_xlen_t n = 1;
double dn = 1;
for (i = 0; i < LENGTH(dims); i++) {
dn *= INTEGER(dims)[i];
#ifndef LONG_VECTOR_SUPPORT
if(dn > INT_MAX)
error(_("'allocArray': too many elements specified by 'dims'"));
#endif
n *= INTEGER(dims)[i];
}
PROTECT(dims = duplicate(dims));
PROTECT(array = allocVector(mode, n));
setAttrib(array, R_DimSymbol, dims);
UNPROTECT(2);
return array;
}
/* DropDims strips away redundant dimensioning information. */
/* If there is an appropriate dimnames attribute the correct */
/* element is extracted and attached to the vector as a names */
/* attribute. Note that this function mutates x. */
/* Duplication should occur before this is called. */
SEXP DropDims(SEXP x)
{
SEXP dims, dimnames, newnames = R_NilValue;
int i, n, ndims;
PROTECT(x);
dims = getAttrib(x, R_DimSymbol);
/* Check that dropping will actually do something. */
/* (1) Check that there is a "dim" attribute. */
if (dims == R_NilValue) {
UNPROTECT(1); /* x */
return x;
}
ndims = LENGTH(dims);
/* (2) Check whether there are redundant extents */
n = 0;
for (i = 0; i < ndims; i++)
if (INTEGER(dims)[i] != 1) n++;
if (n == ndims) {
UNPROTECT(1); /* x */
return x;
}
PROTECT(dimnames = getAttrib(x, R_DimNamesSymbol));
if (n <= 1) {
/* We have reduced to a vector result.
If that has length one, it is ambiguous which dimnames to use,
so use it if there is only one (as from R 2.7.0).
*/
if (dimnames != R_NilValue) {
if(XLENGTH(x) != 1) {
for (i = 0; i < LENGTH(dims); i++) {
if (INTEGER(dims)[i] != 1) {
newnames = VECTOR_ELT(dimnames, i);
break;
}
}
} else { /* drop all dims: keep names if unambiguous */
int cnt;
for(i = 0, cnt = 0; i < LENGTH(dims); i++)
if(VECTOR_ELT(dimnames, i) != R_NilValue) cnt++;
if(cnt == 1)
for (i = 0; i < LENGTH(dims); i++) {
newnames = VECTOR_ELT(dimnames, i);
if(newnames != R_NilValue) break;
}
}
}
PROTECT(newnames);
setAttrib(x, R_DimNamesSymbol, R_NilValue);
setAttrib(x, R_DimSymbol, R_NilValue);
setAttrib(x, R_NamesSymbol, newnames);
/* FIXME: the following is desirable, but pointless as long as
subset.c & others have a contrary version that leaves the
S4 class in, incorrectly, in the case of vectors. JMC
3/3/09 */
/* if(IS_S4_OBJECT(x)) {/\* no longer valid subclass of array or
matrix *\/ */
/* setAttrib(x, R_ClassSymbol, R_NilValue); */
/* UNSET_S4_OBJECT(x); */
/* } */
UNPROTECT(1); /* newnames */
} else {
/* We have a lower dimensional array. */
SEXP newdims, dnn, newnamesnames = R_NilValue;
PROTECT(dnn = getAttrib(dimnames, R_NamesSymbol));
PROTECT(newdims = allocVector(INTSXP, n));
for (i = 0, n = 0; i < ndims; i++)
if (INTEGER(dims)[i] != 1)
INTEGER(newdims)[n++] = INTEGER(dims)[i];
if (!isNull(dimnames)) {
int havenames = 0;
for (i = 0; i < ndims; i++)
if (INTEGER(dims)[i] != 1 &&
VECTOR_ELT(dimnames, i) != R_NilValue)
havenames = 1;
if (havenames) {
PROTECT(newnames = allocVector(VECSXP, n));
PROTECT(newnamesnames = allocVector(STRSXP, n));
for (i = 0, n = 0; i < ndims; i++) {
if (INTEGER(dims)[i] != 1) {
if(!isNull(dnn))
SET_STRING_ELT(newnamesnames, n,
STRING_ELT(dnn, i));
SET_VECTOR_ELT(newnames, n++, VECTOR_ELT(dimnames, i));
}
}
}
else dimnames = R_NilValue;
}
setAttrib(x, R_DimNamesSymbol, R_NilValue);
setAttrib(x, R_DimSymbol, newdims);
if (dimnames != R_NilValue)
{
if(!isNull(dnn))
setAttrib(newnames, R_NamesSymbol, newnamesnames);
setAttrib(x, R_DimNamesSymbol, newnames);
UNPROTECT(2); /* newnamesnames, newnames */
}
UNPROTECT(2); /* newdims, dnn */
}
UNPROTECT(2); /* dimnames, x */
return x;
}
SEXP attribute_hidden do_drop(SEXP call, SEXP op, SEXP args, SEXP rho)
{
SEXP x, xdims;
int i, n, shorten;
checkArity(op, args);
x = CAR(args);
if ((xdims = getAttrib(x, R_DimSymbol)) != R_NilValue) {
n = LENGTH(xdims);
shorten = 0;
for (i = 0; i < n; i++)
if (INTEGER(xdims)[i] == 1) shorten = 1;
if (shorten) {
if (MAYBE_REFERENCED(x)) x = duplicate(x);
x = DropDims(x);
}
}
return x;
}
/* Length of Primitive Objects */
SEXP attribute_hidden do_length(SEXP call, SEXP op, SEXP args, SEXP rho)
{
checkArity(op, args);
check1arg(args, call, "x");
SEXP x = CAR(args), ans;
if (isObject(x) &&
DispatchOrEval(call, op, "length", args, rho, &ans, 0, 1)) {
if (length(ans) == 1 && TYPEOF(ans) == REALSXP) {
double d = REAL(ans)[0];
if (R_FINITE(d) && d >= 0. && d <= INT_MAX && floor(d) == d)
return coerceVector(ans, INTSXP);
}
return(ans);
}
#ifdef LONG_VECTOR_SUPPORT
// or use IS_LONG_VEC
R_xlen_t len = xlength(x);
if (len > INT_MAX) return ScalarReal((double) len);
#endif
return ScalarInteger(length(x));
}
static R_xlen_t dispatch_length(SEXP x, SEXP call, SEXP rho) {
static SEXP length_op = NULL;
if (isObject(x)) {
SEXP len, args;
if (length_op == NULL)
length_op = R_Primitive("length");
PROTECT(args = list1(x));
if (DispatchOrEval(call, length_op, "length", args, rho, &len, 0, 1)) {
UNPROTECT(1);
return (R_xlen_t)
(TYPEOF(len) == REALSXP ? REAL(len)[0] : asInteger(len));
}
UNPROTECT(1);
}
return(xlength(x));
}
static SEXP dispatch_subset2(SEXP x, R_xlen_t i, SEXP call, SEXP rho) {
static SEXP bracket_op = NULL;
SEXP args, x_elt;
if (isObject(x)) {
if (bracket_op == NULL)
bracket_op = R_Primitive("[[");
PROTECT(args = list2(x, ScalarReal(i + 1)));
x_elt = do_subset2(call, bracket_op, args, rho);
UNPROTECT(1);
} else {
x_elt = VECTOR_ELT(x, i);
}
return(x_elt);
}
// auxiliary for do_lengths_*(), i.e., R's lengths()
static R_xlen_t getElementLength(SEXP x, R_xlen_t i, SEXP call, SEXP rho) {
SEXP x_elt = dispatch_subset2(x, i, call, rho);
return(dispatch_length(x_elt, call, rho));
}
#ifdef LONG_VECTOR_SUPPORT
static SEXP do_lengths_long(SEXP x, SEXP call, SEXP rho)
{
SEXP ans;
R_xlen_t x_len, i;
double *ans_elt;
x_len = dispatch_length(x, call, rho);
PROTECT(ans = allocVector(REALSXP, x_len));
for (i = 0, ans_elt = REAL(ans); i < x_len; i++, ans_elt++)
*ans_elt = getElementLength(x, i, call, rho);
UNPROTECT(1);
return ans;
}
#endif
SEXP attribute_hidden do_lengths(SEXP call, SEXP op, SEXP args, SEXP rho)
{
checkArity(op, args);
SEXP x = CAR(args), ans;
R_xlen_t x_len, i;
int *ans_elt;
int useNames = asLogical(CADR(args));
if (useNames == NA_LOGICAL)
error(_("invalid '%s' value"), "USE.NAMES");
Rboolean isList = isVectorList(x) || isS4(x);
if(!isList) switch(TYPEOF(x)) {
case NILSXP:
case CHARSXP:
case LGLSXP:
case INTSXP:
case REALSXP:
case CPLXSXP:
case STRSXP:
case RAWSXP:
break;
default:
error(_("'%s' must be a list or atomic vector"), "x");
}
x_len = dispatch_length(x, call, rho);
PROTECT(ans = allocVector(INTSXP, x_len));
if(isList) {
for (i = 0, ans_elt = INTEGER(ans); i < x_len; i++, ans_elt++) {
R_xlen_t x_elt_len = getElementLength(x, i, call, rho);
#ifdef LONG_VECTOR_SUPPORT
if (x_elt_len > INT_MAX) {
ans = do_lengths_long(x, call, rho);
UNPROTECT(1);
PROTECT(ans);
break;
}
#endif
*ans_elt = (int)x_elt_len;
}
} else { // atomic: every element has length 1
for (i = 0, ans_elt = INTEGER(ans); i < x_len; i++, ans_elt++)
*ans_elt = 1;
}
if(useNames) {
SEXP names = getAttrib(x, R_NamesSymbol);
if(!isNull(names)) setAttrib(ans, R_NamesSymbol, names);
}
UNPROTECT(1);
return ans;
}
SEXP attribute_hidden do_rowscols(SEXP call, SEXP op, SEXP args, SEXP rho)
{
SEXP x, ans;
int i, j, nr, nc;
checkArity(op, args);
/* This is the dimensions vector */
x = CAR(args);
if (!isInteger(x) || LENGTH(x) != 2)
error(_("a matrix-like object is required as argument to '%s'"),
(PRIMVAL(op) == 2) ? "col" : "row");
nr = INTEGER(x)[0];
nc = INTEGER(x)[1];
ans = allocMatrix(INTSXP, nr, nc);
R_xlen_t NR = nr;
switch (PRIMVAL(op)) {
case 1:
for (i = 0; i < nr; i++)
for (j = 0; j < nc; j++)
INTEGER(ans)[i + j * NR] = i + 1;
break;
case 2:
for (i = 0; i < nr; i++)
for (j = 0; j < nc; j++)
INTEGER(ans)[i + j * NR] = j + 1;
break;
}
return ans;
}
static void matprod(double *x, int nrx, int ncx,
double *y, int nry, int ncy, double *z)
{
char *transa = "N", *transb = "N";
double one = 1.0, zero = 0.0;
LDOUBLE sum;
Rboolean have_na = FALSE;
R_xlen_t NRX = nrx, NRY = nry;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
/* Don't trust the BLAS to handle NA/NaNs correctly: PR#4582
* The test is only O(n) here.
*/
for (R_xlen_t i = 0; i < NRX*ncx; i++)
if (ISNAN(x[i])) {have_na = TRUE; break;}
if (!have_na)
for (R_xlen_t i = 0; i < NRY*ncy; i++)
if (ISNAN(y[i])) {have_na = TRUE; break;}
if (have_na) {
for (int i = 0; i < nrx; i++)
for (int k = 0; k < ncy; k++) {
sum = 0.0;
for (int j = 0; j < ncx; j++)
sum += x[i + j * NRX] * y[j + k * NRY];
z[i + k * NRX] = (double) sum;
}
} else
F77_CALL(dgemm)(transa, transb, &nrx, &ncy, &ncx, &one,
x, &nrx, y, &nry, &zero, z, &nrx);
} else /* zero-extent operations should return zeroes */
for(R_xlen_t i = 0; i < NRX*ncy; i++) z[i] = 0;
}
static void cmatprod(Rcomplex *x, int nrx, int ncx,
Rcomplex *y, int nry, int ncy, Rcomplex *z)
{
#ifdef HAVE_FORTRAN_DOUBLE_COMPLEX
char *transa = "N", *transb = "N";
Rcomplex one, zero;
one.r = 1.0; one.i = zero.r = zero.i = 0.0;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
F77_CALL(zgemm)(transa, transb, &nrx, &ncy, &ncx, &one,
x, &nrx, y, &nry, &zero, z, &nrx);
} else { /* zero-extent operations should return zeroes */
R_xlen_t NRX = nrx;
for(R_xlen_t i = 0; i < NRX*ncy; i++) z[i].r = z[i].i = 0;
}
#else
int i, j, k;
double xij_r, xij_i, yjk_r, yjk_i;
LDOUBLE sum_i, sum_r;
R_xlen_t NRX = nrx, NRY = nry;
for (i = 0; i < nrx; i++)
for (k = 0; k < ncy; k++) {
z[i + k * NRX].r = NA_REAL;
z[i + k * NRX].i = NA_REAL;
sum_r = 0.0;
sum_i = 0.0;
for (j = 0; j < ncx; j++) {
xij_r = x[i + j * NRX].r;
xij_i = x[i + j * NRX].i;
yjk_r = y[j + k * NRY].r;
yjk_i = y[j + k * NRY].i;
if (ISNAN(xij_r) || ISNAN(xij_i)
|| ISNAN(yjk_r) || ISNAN(yjk_i))
goto next_ik;
sum_r += (xij_r * yjk_r - xij_i * yjk_i);
sum_i += (xij_r * yjk_i + xij_i * yjk_r);
}
z[i + k * NRX].r = sum_r;
z[i + k * NRX].i = sum_i;
next_ik:
;
}
#endif
}
static void symcrossprod(double *x, int nr, int nc, double *z)
{
char *trans = "T", *uplo = "U";
double one = 1.0, zero = 0.0;
R_xlen_t NC = nc;
if (nr > 0 && nc > 0) {
F77_CALL(dsyrk)(uplo, trans, &nc, &nr, &one, x, &nr, &zero, z, &nc);
for (int i = 1; i < nc; i++)
for (int j = 0; j < i; j++) z[i + NC *j] = z[j + NC * i];
} else { /* zero-extent operations should return zeroes */
for(R_xlen_t i = 0; i < NC*NC; i++) z[i] = 0;
}
}
static void crossprod(double *x, int nrx, int ncx,
double *y, int nry, int ncy, double *z)
{
char *transa = "T", *transb = "N";
double one = 1.0, zero = 0.0;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
F77_CALL(dgemm)(transa, transb, &ncx, &ncy, &nrx, &one,
x, &nrx, y, &nry, &zero, z, &ncx);
} else { /* zero-extent operations should return zeroes */
R_xlen_t NCX = ncx;
for(R_xlen_t i = 0; i < NCX*ncy; i++) z[i] = 0;
}
}
static void ccrossprod(Rcomplex *x, int nrx, int ncx,
Rcomplex *y, int nry, int ncy, Rcomplex *z)
{
char *transa = "T", *transb = "N";
Rcomplex one, zero;
one.r = 1.0; one.i = zero.r = zero.i = 0.0;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
F77_CALL(zgemm)(transa, transb, &ncx, &ncy, &nrx, &one,
x, &nrx, y, &nry, &zero, z, &ncx);
} else { /* zero-extent operations should return zeroes */
R_xlen_t NCX = ncx;
for(R_xlen_t i = 0; i < NCX*ncy; i++) z[i].r = z[i].i = 0;
}
}
static void symtcrossprod(double *x, int nr, int nc, double *z)
{
char *trans = "N", *uplo = "U";
double one = 1.0, zero = 0.0;
if (nr > 0 && nc > 0) {
F77_CALL(dsyrk)(uplo, trans, &nr, &nc, &one, x, &nr, &zero, z, &nr);
for (int i = 1; i < nr; i++)
for (int j = 0; j < i; j++) z[i + nr *j] = z[j + nr * i];
} else { /* zero-extent operations should return zeroes */
R_xlen_t NR = nr;
for(R_xlen_t i = 0; i < NR*NR; i++) z[i] = 0;
}
}
static void tcrossprod(double *x, int nrx, int ncx,
double *y, int nry, int ncy, double *z)
{
char *transa = "N", *transb = "T";
double one = 1.0, zero = 0.0;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
F77_CALL(dgemm)(transa, transb, &nrx, &nry, &ncx, &one,
x, &nrx, y, &nry, &zero, z, &nrx);
} else { /* zero-extent operations should return zeroes */
R_xlen_t NRX = nrx;
for(R_xlen_t i = 0; i < NRX*nry; i++) z[i] = 0;
}
}
static void tccrossprod(Rcomplex *x, int nrx, int ncx,
Rcomplex *y, int nry, int ncy, Rcomplex *z)
{
char *transa = "N", *transb = "T";
Rcomplex one, zero;
one.r = 1.0; one.i = zero.r = zero.i = 0.0;
if (nrx > 0 && ncx > 0 && nry > 0 && ncy > 0) {
F77_CALL(zgemm)(transa, transb, &nrx, &nry, &ncx, &one,
x, &nrx, y, &nry, &zero, z, &nrx);
} else { /* zero-extent operations should return zeroes */
R_xlen_t NRX = nrx;
for(R_xlen_t i = 0; i < NRX*nry; i++) z[i].r = z[i].i = 0;
}
}
/* "%*%" (op = 0), crossprod (op = 1) or tcrossprod (op = 2) */
SEXP attribute_hidden do_matprod(SEXP call, SEXP op, SEXP args, SEXP rho)
{
int ldx, ldy, nrx, ncx, nry, ncy, mode;
SEXP x = CAR(args), y = CADR(args), xdims, ydims, ans;
Rboolean sym;
if (PRIMVAL(op) == 0 && /* %*% is primitive, the others are .Internal() */
(IS_S4_OBJECT(x) || IS_S4_OBJECT(y))
&& R_has_methods(op)) {
SEXP s, value;
/* Remove argument names to ensure positional matching */
for(s = args; s != R_NilValue; s = CDR(s)) SET_TAG(s, R_NilValue);
value = R_possible_dispatch(call, op, args, rho, FALSE);
if (value) return value;
}
checkArity(op, args);
sym = isNull(y);
if (sym && (PRIMVAL(op) > 0)) y = x;
if ( !(isNumeric(x) || isComplex(x)) || !(isNumeric(y) || isComplex(y)) )
errorcall(call, _("requires numeric/complex matrix/vector arguments"));
xdims = getAttrib(x, R_DimSymbol);
ydims = getAttrib(y, R_DimSymbol);
ldx = length(xdims);
ldy = length(ydims);
if (ldx != 2 && ldy != 2) { /* x and y non-matrices */
// for crossprod, allow two cases: n x n ==> (1,n) x (n,1); 1 x n = (n, 1) x (1, n)
if (PRIMVAL(op) == 1 && LENGTH(x) == 1) {
nrx = ncx = nry = 1;
ncy = LENGTH(y);
}
else {
nry = LENGTH(y);
ncy = 1;
if (PRIMVAL(op) == 0) {
nrx = 1;
ncx = LENGTH(x);
if(ncx == 1) { // y as row vector
ncy = nry;
nry = 1;
}
}
else {
nrx = LENGTH(x);
ncx = 1;
}
}
}
else if (ldx != 2) { /* x not a matrix */
nry = INTEGER(ydims)[0];
ncy = INTEGER(ydims)[1];
nrx = 0;
ncx = 0;
if (PRIMVAL(op) == 0) {
if (LENGTH(x) == nry) { /* x as row vector */
nrx = 1;
ncx = nry; /* == LENGTH(x) */
}
else if (nry == 1) { /* x as col vector */
nrx = LENGTH(x);
ncx = 1;
}
}
else if (PRIMVAL(op) == 1) { /* crossprod() */
if (LENGTH(x) == nry) { /* x is a col vector */
nrx = nry; /* == LENGTH(x) */
ncx = 1;
}
/* else if (nry == 1) ... not being too tolerant
to treat x as row vector, as t(x) *is* row vector */
}
else { /* tcrossprod */
if (LENGTH(x) == ncy) { /* x as row vector */
nrx = 1;
ncx = ncy; /* == LENGTH(x) */
}
else if (ncy == 1) { /* x as col vector */
nrx = LENGTH(x);
ncx = 1;
}
}
}
else if (ldy != 2) { /* y not a matrix */
nrx = INTEGER(xdims)[0];
ncx = INTEGER(xdims)[1];
nry = 0;
ncy = 0;
if (PRIMVAL(op) == 0) {
if (LENGTH(y) == ncx) { /* y as col vector */
nry = ncx;
ncy = 1;
}
else if (ncx == 1) { /* y as row vector */
nry = 1;
ncy = LENGTH(y);
}
}
else if (PRIMVAL(op) == 1) { /* crossprod() */
if (LENGTH(y) == nrx) { /* y is a col vector */
nry = nrx;
ncy = 1;
} else if (nrx == 1) { // y as row vector
nry = 1;
ncy = LENGTH(y);
}
}
else { // tcrossprod
if (nrx == 1) { // y as row vector
nry = 1;
ncy = LENGTH(y);
}
else { // y is a col vector
nry = LENGTH(y);
ncy = 1;
}
}
}
else { /* x and y matrices */
nrx = INTEGER(xdims)[0];
ncx = INTEGER(xdims)[1];
nry = INTEGER(ydims)[0];
ncy = INTEGER(ydims)[1];
}
/* nr[ow](.) and nc[ol](.) are now defined for x and y */
if (PRIMVAL(op) == 0) {
/* primitive, so use call */
if (ncx != nry)
errorcall(call, _("non-conformable arguments"));
}
else if (PRIMVAL(op) == 1) {
if (nrx != nry)
error(_("non-conformable arguments"));
}
else {
if (ncx != ncy)
error(_("non-conformable arguments"));
}
if (isComplex(CAR(args)) || isComplex(CADR(args)))
mode = CPLXSXP;
else
mode = REALSXP;
SETCAR(args, coerceVector(CAR(args), mode));
SETCADR(args, coerceVector(CADR(args), mode));
if (PRIMVAL(op) == 0) { /* op == 0 : matprod() */
PROTECT(ans = allocMatrix(mode, nrx, ncy));
if (mode == CPLXSXP)
cmatprod(COMPLEX(CAR(args)), nrx, ncx,
COMPLEX(CADR(args)), nry, ncy, COMPLEX(ans));
else
matprod(REAL(CAR(args)), nrx, ncx,
REAL(CADR(args)), nry, ncy, REAL(ans));
PROTECT(xdims = getAttrib(CAR(args), R_DimNamesSymbol));
PROTECT(ydims = getAttrib(CADR(args), R_DimNamesSymbol));
if (xdims != R_NilValue || ydims != R_NilValue) {
SEXP dimnames, dimnamesnames, dnx=R_NilValue, dny=R_NilValue;
/* allocate dimnames and dimnamesnames */
PROTECT(dimnames = allocVector(VECSXP, 2));
PROTECT(dimnamesnames = allocVector(STRSXP, 2));
if (xdims != R_NilValue) {
if (ldx == 2 || ncx == 1) {
SET_VECTOR_ELT(dimnames, 0, VECTOR_ELT(xdims, 0));
dnx = getAttrib(xdims, R_NamesSymbol);
if(!isNull(dnx))
SET_STRING_ELT(dimnamesnames, 0, STRING_ELT(dnx, 0));
}
}
#define YDIMS_ET_CETERA \
if (ydims != R_NilValue) { \
if (ldy == 2) { \
SET_VECTOR_ELT(dimnames, 1, VECTOR_ELT(ydims, 1)); \
dny = getAttrib(ydims, R_NamesSymbol); \
if(!isNull(dny)) \
SET_STRING_ELT(dimnamesnames, 1, STRING_ELT(dny, 1)); \
} else if (nry == 1) { \
SET_VECTOR_ELT(dimnames, 1, VECTOR_ELT(ydims, 0)); \
dny = getAttrib(ydims, R_NamesSymbol); \
if(!isNull(dny)) \
SET_STRING_ELT(dimnamesnames, 1, STRING_ELT(dny, 0)); \
} \
} \
\
/* We sometimes attach a dimnames attribute \
* whose elements are all NULL ... \
* This is ugly but causes no real damage. \
* Now (2.1.0 ff), we don't anymore: */ \
if (VECTOR_ELT(dimnames,0) != R_NilValue || \
VECTOR_ELT(dimnames,1) != R_NilValue) { \
if (dnx != R_NilValue || dny != R_NilValue) \
setAttrib(dimnames, R_NamesSymbol, dimnamesnames); \
setAttrib(ans, R_DimNamesSymbol, dimnames); \
} \
UNPROTECT(2)
YDIMS_ET_CETERA;
}
}
else if (PRIMVAL(op) == 1) { /* op == 1: crossprod() */
PROTECT(ans = allocMatrix(mode, ncx, ncy));
if (mode == CPLXSXP)
if(sym)
ccrossprod(COMPLEX(CAR(args)), nrx, ncx,
COMPLEX(CAR(args)), nry, ncy, COMPLEX(ans));
else
ccrossprod(COMPLEX(CAR(args)), nrx, ncx,
COMPLEX(CADR(args)), nry, ncy, COMPLEX(ans));
else {
if(sym)
symcrossprod(REAL(CAR(args)), nrx, ncx, REAL(ans));
else
crossprod(REAL(CAR(args)), nrx, ncx,
REAL(CADR(args)), nry, ncy, REAL(ans));
}
PROTECT(xdims = getAttrib(CAR(args), R_DimNamesSymbol));
if (sym)
PROTECT(ydims = xdims);
else
PROTECT(ydims = getAttrib(CADR(args), R_DimNamesSymbol));
if (xdims != R_NilValue || ydims != R_NilValue) {
SEXP dimnames, dimnamesnames, dnx=R_NilValue, dny=R_NilValue;
/* allocate dimnames and dimnamesnames */
PROTECT(dimnames = allocVector(VECSXP, 2));
PROTECT(dimnamesnames = allocVector(STRSXP, 2));
if (xdims != R_NilValue) {
if (ldx == 2) {/* not nrx==1 : .. fixed, ihaka 2003-09-30 */
SET_VECTOR_ELT(dimnames, 0, VECTOR_ELT(xdims, 1));
dnx = getAttrib(xdims, R_NamesSymbol);
if(!isNull(dnx))
SET_STRING_ELT(dimnamesnames, 0, STRING_ELT(dnx, 1));
}
}
YDIMS_ET_CETERA;
}