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/*
This file is part of FFTS -- The Fastest Fourier Transform in the South
Copyright (c) 2012, Anthony M. Blake <amb@anthonix.com>
Copyright (c) 2012, The University of Waikato
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
* Neither the name of the organization nor the
names of its contributors may be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL ANTHONY M. BLAKE BE LIABLE FOR ANY
DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "codegen.h"
#include "macros.h"
#ifdef __arm__
typedef uint32_t insns_t;
#else
typedef uint8_t insns_t;
#endif
#ifdef HAVE_NEON
#include "codegen_arm.h"
#include "neon.h"
#elif HAVE_VFP
#include "vfp.h"
#include "codegen_arm.h"
#else
#include "codegen_sse.h"
#endif
#include <assert.h>
#include <errno.h>
#include <stddef.h>
/* #include <stdio.h> */
#ifdef HAVE_STDLIB_H
#include <stdlib.h>
#endif
#ifdef HAVE_STRING_H
#include <string.h>
#endif
#ifdef HAVE_UNISTD_H
#include <unistd.h>
#endif
static int ffts_tree_count(int N, int leaf_N, int offset)
{
int count;
if (N <= leaf_N) {
return 0;
}
count = ffts_tree_count(N/4, leaf_N, offset);
count += ffts_tree_count(N/8, leaf_N, offset + N/4);
count += ffts_tree_count(N/8, leaf_N, offset + N/4 + N/8);
count += ffts_tree_count(N/4, leaf_N, offset + N/2);
count += ffts_tree_count(N/4, leaf_N, offset + 3*N/4);
return 1 + count;
}
static void ffts_elaborate_tree(size_t **p, int N, int leaf_N, int offset)
{
if (N <= leaf_N) {
return;
}
ffts_elaborate_tree(p, N/4, leaf_N, offset);
ffts_elaborate_tree(p, N/8, leaf_N, offset + N/4);
ffts_elaborate_tree(p, N/8, leaf_N, offset + N/4 + N/8);
ffts_elaborate_tree(p, N/4, leaf_N, offset + N/2);
ffts_elaborate_tree(p, N/4, leaf_N, offset + 3*N/4);
(*p)[0] = N;
(*p)[1] = 2 * offset;
(*p) += 2;
}
transform_func_t ffts_generate_func_code(ffts_plan_t *p, size_t N, size_t leaf_N, int sign)
{
uint32_t offsets[8] = {0, 4*N, 2*N, 6*N, N, 5*N, 7*N, 3*N};
uint32_t offsets_o[8] = {0, 4*N, 2*N, 6*N, 7*N, 3*N, N, 5*N};
int32_t pAddr = 0;
int32_t pN = 0;
int32_t pLUT = 0;
insns_t *fp;
insns_t *start;
insns_t *x_4_addr;
insns_t *x_8_addr;
uint32_t loop_count;
int count;
ptrdiff_t len;
size_t *ps;
size_t *pps;
count = ffts_tree_count(N, leaf_N, 0) + 1;
ps = pps = malloc(2 * count * sizeof(*ps));
if (!ps) {
return NULL;
}
ffts_elaborate_tree(&pps, N, leaf_N, 0);
pps[0] = 0;
pps[1] = 0;
pps = ps;
#ifdef HAVE_SSE
if (sign < 0) {
p->constants = (const void*) sse_constants;
} else {
p->constants = (const void*) sse_constants_inv;
}
#endif
fp = (insns_t*) p->transform_base;
/* generate base cases */
x_4_addr = generate_size4_base_case(&fp, sign);
x_8_addr = generate_size8_base_case(&fp, sign);
#ifdef __arm__
start = generate_prologue(&fp, p);
#ifdef HAVE_NEON
memcpy(fp, neon_ee, neon_oo - neon_ee);
if (sign < 0) {
fp[33] ^= 0x00200000;
fp[37] ^= 0x00200000;
fp[38] ^= 0x00200000;
fp[39] ^= 0x00200000;
fp[40] ^= 0x00200000;
fp[41] ^= 0x00200000;
fp[44] ^= 0x00200000;
fp[45] ^= 0x00200000;
fp[46] ^= 0x00200000;
fp[47] ^= 0x00200000;
fp[48] ^= 0x00200000;
fp[57] ^= 0x00200000;
}
fp += (neon_oo - neon_ee) / 4;
#else
memcpy(fp, vfp_e, vfp_o - vfp_e);
if (sign > 0) {
fp[64] ^= 0x00000040;
fp[65] ^= 0x00000040;
fp[68] ^= 0x00000040;
fp[75] ^= 0x00000040;
fp[76] ^= 0x00000040;
fp[79] ^= 0x00000040;
fp[80] ^= 0x00000040;
fp[83] ^= 0x00000040;
fp[84] ^= 0x00000040;
fp[87] ^= 0x00000040;
fp[91] ^= 0x00000040;
fp[93] ^= 0x00000040;
}
fp += (vfp_o - vfp_e) / 4;
#endif
#else
/* generate functions */
start = generate_prologue(&fp, p);
loop_count = 4 * p->i0;
generate_leaf_init(&fp, loop_count);
if (ffts_ctzl(N) & 1) {
generate_leaf_ee(&fp, offsets, p->i1 ? 6 : 0);
if (p->i1) {
loop_count += 4 * p->i1;
generate_leaf_oo(&fp, loop_count, offsets_o, 7);
}
loop_count += 4;
generate_leaf_oe(&fp, offsets_o);
} else {
generate_leaf_ee(&fp, offsets, N >= 256 ? 2 : 8);
loop_count += 4;
generate_leaf_eo(&fp, offsets);
if (p->i1) {
loop_count += 4 * p->i1;
generate_leaf_oo(&fp, loop_count, offsets_o, N >= 256 ? 4 : 7);
}
}
if (p->i1) {
uint32_t offsets_oe[8] = {7*N, 3*N, N, 5*N, 0, 4*N, 6*N, 2*N};
loop_count += 4 * p->i1;
/* align loop/jump destination */
#ifdef _M_X64
x86_mov_reg_imm(fp, X86_EBX, loop_count);
#else
x86_mov_reg_imm(fp, X86_ECX, loop_count);
ffts_align_mem16(&fp, 9);
#endif
generate_leaf_ee(&fp, offsets_oe, 0);
}
generate_transform_init(&fp);
/* generate subtransform calls */
count = 2;
while (pps[0]) {
size_t ws_is;
if (!pN) {
#ifdef _M_X64
x86_mov_reg_imm(fp, X86_EBX, pps[0]);
#else
x86_mov_reg_imm(fp, X86_ECX, pps[0] / 4);
#endif
} else {
int offset = (4 * pps[1]) - pAddr;
if (offset) {
#ifdef _M_X64
x64_alu_reg_imm_size(fp, X86_ADD, X64_R8, offset, 8);
#else
x64_alu_reg_imm_size(fp, X86_ADD, X64_RDX, offset, 8);
#endif
}
if (pps[0] > leaf_N && pps[0] - pN) {
int factor = ffts_ctzl(pps[0]) - ffts_ctzl(pN);
#ifdef _M_X64
if (factor > 0) {
x86_shift_reg_imm(fp, X86_SHL, X86_EBX, factor);
} else {
x86_shift_reg_imm(fp, X86_SHR, X86_EBX, -factor);
}
#else
if (factor > 0) {
x86_shift_reg_imm(fp, X86_SHL, X86_ECX, factor);
} else {
x86_shift_reg_imm(fp, X86_SHR, X86_ECX, -factor);
}
#endif
}
}
ws_is = 8 * p->ws_is[ffts_ctzl(pps[0] / leaf_N) - 1];
if (ws_is != pLUT) {
int offset = (int) (ws_is - pLUT);
#ifdef _M_X64
x64_alu_reg_imm_size(fp, X86_ADD, X64_R9, offset, 8);
#else
x64_alu_reg_imm_size(fp, X86_ADD, X64_R8, offset, 8);
#endif
}
if (pps[0] == 2 * leaf_N) {
x64_call_code(fp, x_4_addr);
} else {
x64_call_code(fp, x_8_addr);
}
pAddr = 4 * pps[1];
if (pps[0] > leaf_N) {
pN = pps[0];
}
pLUT = ws_is;//LUT_offset(pps[0], leafN);
//fprintf(stderr, "LUT offset for %d is %d\n", pN, pLUT);
count += 4;
pps += 2;
}
#endif
#ifdef __arm__
#ifdef HAVE_NEON
if (ffts_ctzl(N) & 1) {
ADDI(&fp, 2, 7, 0);
ADDI(&fp, 7, 9, 0);
ADDI(&fp, 9, 2, 0);
ADDI(&fp, 2, 8, 0);
ADDI(&fp, 8, 10, 0);
ADDI(&fp, 10, 2, 0);
if(p->i1) {
MOVI(&fp, 11, p->i1);
memcpy(fp, neon_oo, neon_eo - neon_oo);
if(sign < 0) {
fp[12] ^= 0x00200000;
fp[13] ^= 0x00200000;
fp[14] ^= 0x00200000;
fp[15] ^= 0x00200000;
fp[27] ^= 0x00200000;
fp[29] ^= 0x00200000;
fp[30] ^= 0x00200000;
fp[31] ^= 0x00200000;
fp[46] ^= 0x00200000;
fp[47] ^= 0x00200000;
fp[48] ^= 0x00200000;
fp[57] ^= 0x00200000;
}
fp += (neon_eo - neon_oo) / 4;
}
*fp = LDRI(11, 1, ((uint32_t)&p->oe_ws) - ((uint32_t)p));
fp++;
memcpy(fp, neon_oe, neon_end - neon_oe);
if(sign < 0) {
fp[19] ^= 0x00200000;
fp[20] ^= 0x00200000;
fp[22] ^= 0x00200000;
fp[23] ^= 0x00200000;
fp[37] ^= 0x00200000;
fp[38] ^= 0x00200000;
fp[40] ^= 0x00200000;
fp[41] ^= 0x00200000;
fp[64] ^= 0x00200000;
fp[65] ^= 0x00200000;
fp[66] ^= 0x00200000;
fp[67] ^= 0x00200000;
}
fp += (neon_end - neon_oe) / 4;
} else {
*fp = LDRI(11, 1, ((uint32_t)&p->eo_ws) - ((uint32_t)p));
fp++;
memcpy(fp, neon_eo, neon_oe - neon_eo);
if(sign < 0) {
fp[10] ^= 0x00200000;
fp[11] ^= 0x00200000;
fp[13] ^= 0x00200000;
fp[14] ^= 0x00200000;
fp[31] ^= 0x00200000;
fp[33] ^= 0x00200000;
fp[34] ^= 0x00200000;
fp[35] ^= 0x00200000;
fp[59] ^= 0x00200000;
fp[60] ^= 0x00200000;
fp[61] ^= 0x00200000;
fp[62] ^= 0x00200000;
}
fp += (neon_oe - neon_eo) / 4;
ADDI(&fp, 2, 7, 0);
ADDI(&fp, 7, 9, 0);
ADDI(&fp, 9, 2, 0);
ADDI(&fp, 2, 8, 0);
ADDI(&fp, 8, 10, 0);
ADDI(&fp, 10, 2, 0);
if(p->i1) {
MOVI(&fp, 11, p->i1);
memcpy(fp, neon_oo, neon_eo - neon_oo);
if(sign < 0) {
fp[12] ^= 0x00200000;
fp[13] ^= 0x00200000;
fp[14] ^= 0x00200000;
fp[15] ^= 0x00200000;
fp[27] ^= 0x00200000;
fp[29] ^= 0x00200000;
fp[30] ^= 0x00200000;
fp[31] ^= 0x00200000;
fp[46] ^= 0x00200000;
fp[47] ^= 0x00200000;
fp[48] ^= 0x00200000;
fp[57] ^= 0x00200000;
}
fp += (neon_eo - neon_oo) / 4;
}
}
if(p->i1) {
ADDI(&fp, 2, 3, 0);
ADDI(&fp, 3, 7, 0);
ADDI(&fp, 7, 2, 0);
ADDI(&fp, 2, 4, 0);
ADDI(&fp, 4, 8, 0);
ADDI(&fp, 8, 2, 0);
ADDI(&fp, 2, 5, 0);
ADDI(&fp, 5, 9, 0);
ADDI(&fp, 9, 2, 0);
ADDI(&fp, 2, 6, 0);
ADDI(&fp, 6, 10, 0);
ADDI(&fp, 10, 2, 0);
ADDI(&fp, 2, 9, 0);
ADDI(&fp, 9, 10, 0);
ADDI(&fp, 10, 2, 0);
*fp = LDRI(2, 1, ((uint32_t)&p->ee_ws) - ((uint32_t)p));
fp++;
MOVI(&fp, 11, p->i1);
memcpy(fp, neon_ee, neon_oo - neon_ee);
if(sign < 0) {
fp[33] ^= 0x00200000;
fp[37] ^= 0x00200000;
fp[38] ^= 0x00200000;
fp[39] ^= 0x00200000;
fp[40] ^= 0x00200000;
fp[41] ^= 0x00200000;
fp[44] ^= 0x00200000;
fp[45] ^= 0x00200000;
fp[46] ^= 0x00200000;
fp[47] ^= 0x00200000;
fp[48] ^= 0x00200000;
fp[57] ^= 0x00200000;
}
fp += (neon_oo - neon_ee) / 4;
}
#else
ADDI(&fp, 2, 7, 0);
ADDI(&fp, 7, 9, 0);
ADDI(&fp, 9, 2, 0);
ADDI(&fp, 2, 8, 0);
ADDI(&fp, 8, 10, 0);
ADDI(&fp, 10, 2, 0);
MOVI(&fp, 11, (p->i1>0) ? p->i1 : 1);
memcpy(fp, vfp_o, vfp_x4 - vfp_o);
if(sign > 0) {
fp[22] ^= 0x00000040;
fp[24] ^= 0x00000040;
fp[25] ^= 0x00000040;
fp[26] ^= 0x00000040;
fp[62] ^= 0x00000040;
fp[64] ^= 0x00000040;
fp[65] ^= 0x00000040;
fp[66] ^= 0x00000040;
}
fp += (vfp_x4 - vfp_o) / 4;
ADDI(&fp, 2, 3, 0);
ADDI(&fp, 3, 7, 0);
ADDI(&fp, 7, 2, 0);
ADDI(&fp, 2, 4, 0);
ADDI(&fp, 4, 8, 0);
ADDI(&fp, 8, 2, 0);
ADDI(&fp, 2, 5, 0);
ADDI(&fp, 5, 9, 0);
ADDI(&fp, 9, 2, 0);
ADDI(&fp, 2, 6, 0);
ADDI(&fp, 6, 10, 0);
ADDI(&fp, 10, 2, 0);
ADDI(&fp, 2, 9, 0);
ADDI(&fp, 9, 10, 0);
ADDI(&fp, 10, 2, 0);
*fp = LDRI(2, 1, ((uint32_t)&p->ee_ws) - ((uint32_t)p));
fp++;
MOVI(&fp, 11, (p->i2>0) ? p->i2 : 1);
memcpy(fp, vfp_e, vfp_o - vfp_e);
if(sign > 0) {
fp[64] ^= 0x00000040;
fp[65] ^= 0x00000040;
fp[68] ^= 0x00000040;
fp[75] ^= 0x00000040;
fp[76] ^= 0x00000040;
fp[79] ^= 0x00000040;
fp[80] ^= 0x00000040;
fp[83] ^= 0x00000040;
fp[84] ^= 0x00000040;
fp[87] ^= 0x00000040;
fp[91] ^= 0x00000040;
fp[93] ^= 0x00000040;
}
fp += (vfp_o - vfp_e) / 4;
#endif
*fp = LDRI(2, 1, ((uint32_t)&p->ws) - ((uint32_t)p));
fp++; // load offsets into r12
//ADDI(&fp, 2, 1, 0);
MOVI(&fp, 1, 0);
// args: r0 - out
// r1 - N
// r2 - ws
// ADDI(&fp, 3, 1, 0); // put N into r3 for counter
count = 2;
while(pps[0]) {
// fprintf(stderr, "size %zu at %zu - diff %zu\n", pps[0], pps[1]*4, (pps[1]*4) - pAddr);
if(!pN) {
MOVI(&fp, 1, pps[0]);
} else {
if((pps[1]*4)-pAddr) ADDI(&fp, 0, 0, (pps[1] * 4)- pAddr);
if(pps[0] - pN) ADDI(&fp, 1, 1, pps[0] - pN);
}
if (p->ws_is[ffts_ctzl(pps[0]/leaf_N)-1]*8 - pLUT) {
ADDI(&fp, 2, 2, p->ws_is[ffts_ctzl(pps[0]/leaf_N)-1]*8 - pLUT);
}
if(pps[0] == 2 * leaf_N) {
*fp = BL(fp+2, x_4_addr);
fp++;
} else if(!pps[2]) {
//uint32_t *x_8_t_addr = fp;
#ifdef HAVE_NEON
memcpy(fp, neon_x8_t, neon_ee - neon_x8_t);
if(sign < 0) {
fp[31] ^= 0x00200000;
fp[32] ^= 0x00200000;
fp[33] ^= 0x00200000;
fp[34] ^= 0x00200000;
fp[65] ^= 0x00200000;
fp[66] ^= 0x00200000;
fp[70] ^= 0x00200000;
fp[74] ^= 0x00200000;
fp[97] ^= 0x00200000;
fp[98] ^= 0x00200000;
fp[102] ^= 0x00200000;
fp[104] ^= 0x00200000;
}
fp += (neon_ee - neon_x8_t) / 4;
//*fp++ = BL(fp+2, x_8_t_addr);
#else
*fp = BL(fp+2, x_8_addr);
fp++;
#endif
} else {
*fp = BL(fp+2, x_8_addr);
fp++;
}
pAddr = pps[1] * 4;
pN = pps[0];
pLUT = p->ws_is[ffts_ctzl(pps[0]/leaf_N)-1]*8;//LUT_offset(pps[0], leafN);
// fprintf(stderr, "LUT offset for %d is %d\n", pN, pLUT);
count += 4;
pps += 2;
}
*fp++ = 0xecbd8b10;
*fp++ = POP_LR();
count++;
#else
generate_epilogue(&fp);
#endif
// *fp++ = B(14); count++;
//for(int i=0;i<(neon_x8 - neon_x4)/4;i++)
// fprintf(stderr, "%08x\n", x_4_addr[i]);
//fprintf(stderr, "\n");
//for(int i=0;i<count;i++)
//fprintf(stderr, "size of transform %u = %d\n", N, (fp - x_8_addr) * sizeof(*fp));
free(ps);
#if defined(_MSC_VER)
#pragma warning(push)
/* disable type cast warning from data pointer to function pointer */
#pragma warning(disable : 4055)
#endif
return (transform_func_t) start;
#if defined(_MSC_VER)
#pragma warning(pop)
#endif
}
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