llvmpipe: Unit test for sin/cos that compares against reference implementation.
Signed-off-by: José Fonseca <jfonseca@vmware.com>
This commit is contained in:
parent
3c929e5544
commit
80ee3a440c
|
@ -50,8 +50,12 @@ CPP_SOURCES = \
|
|||
PROGS := lp_test_format \
|
||||
lp_test_blend \
|
||||
lp_test_conv \
|
||||
lp_test_printf
|
||||
lp_test_printf \
|
||||
lp_test_sincos
|
||||
|
||||
lp_test_sincos.o : sse_mathfun.h
|
||||
|
||||
PROGS_DEPS := ../../auxiliary/libgallium.a
|
||||
|
||||
include ../../Makefile.template
|
||||
|
||||
|
|
|
@ -76,6 +76,8 @@ if env['platform'] != 'embedded':
|
|||
'format',
|
||||
'blend',
|
||||
'conv',
|
||||
'printf',
|
||||
'sincos',
|
||||
]
|
||||
|
||||
for test in tests:
|
||||
|
|
|
@ -0,0 +1,204 @@
|
|||
/**************************************************************************
|
||||
*
|
||||
* Copyright 2010 VMware, Inc.
|
||||
* All Rights Reserved.
|
||||
*
|
||||
* Permission is hereby granted, free of charge, to any person obtaining a
|
||||
* copy of this software and associated documentation files (the
|
||||
* "Software"), to deal in the Software without restriction, including
|
||||
* without limitation the rights to use, copy, modify, merge, publish,
|
||||
* distribute, sub license, and/or sell copies of the Software, and to
|
||||
* permit persons to whom the Software is furnished to do so, subject to
|
||||
* the following conditions:
|
||||
*
|
||||
* The above copyright notice and this permission notice (including the
|
||||
* next paragraph) shall be included in all copies or substantial portions
|
||||
* of the Software.
|
||||
*
|
||||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
|
||||
* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
|
||||
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT.
|
||||
* IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR
|
||||
* ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
|
||||
* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
|
||||
* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
|
||||
*
|
||||
**************************************************************************/
|
||||
|
||||
|
||||
#include <stdlib.h>
|
||||
#include <stdio.h>
|
||||
|
||||
#include "gallivm/lp_bld.h"
|
||||
#include "gallivm/lp_bld_printf.h"
|
||||
#include "gallivm/lp_bld_arit.h"
|
||||
|
||||
#include <llvm-c/Analysis.h>
|
||||
#include <llvm-c/ExecutionEngine.h>
|
||||
#include <llvm-c/Target.h>
|
||||
#include <llvm-c/Transforms/Scalar.h>
|
||||
|
||||
#include "lp_test.h"
|
||||
|
||||
|
||||
struct sincos_test_case {
|
||||
};
|
||||
|
||||
|
||||
void
|
||||
write_tsv_header(FILE *fp)
|
||||
{
|
||||
fprintf(fp,
|
||||
"result\t"
|
||||
"format\n");
|
||||
|
||||
fflush(fp);
|
||||
}
|
||||
|
||||
|
||||
#ifdef PIPE_ARCH_SSE
|
||||
|
||||
#define USE_SSE2
|
||||
#include "sse_mathfun.h"
|
||||
|
||||
typedef __m128 (*test_sincos_t)(__m128);
|
||||
|
||||
static LLVMValueRef
|
||||
add_sincos_test(LLVMModuleRef module, bool sin)
|
||||
{
|
||||
LLVMTypeRef v4sf = LLVMVectorType(LLVMFloatType(), 4);
|
||||
LLVMTypeRef args[1] = { v4sf };
|
||||
LLVMValueRef func = LLVMAddFunction(module, "sincos", LLVMFunctionType(v4sf, args, 1, 0));
|
||||
LLVMValueRef arg1 = LLVMGetParam(func, 0);
|
||||
LLVMBuilderRef builder = LLVMCreateBuilder();
|
||||
LLVMBasicBlockRef block = LLVMAppendBasicBlock(func, "entry");
|
||||
LLVMValueRef ret;
|
||||
struct lp_build_context bld;
|
||||
|
||||
bld.builder = builder;
|
||||
bld.type.floating = 1;
|
||||
bld.type.width = 32;
|
||||
bld.type.length = 4;
|
||||
|
||||
LLVMSetFunctionCallConv(func, LLVMCCallConv);
|
||||
|
||||
LLVMPositionBuilderAtEnd(builder, block);
|
||||
ret = sin ? lp_build_sin(&bld, arg1) : lp_build_cos(&bld, arg1);
|
||||
LLVMBuildRet(builder, ret);
|
||||
LLVMDisposeBuilder(builder);
|
||||
return func;
|
||||
}
|
||||
|
||||
static void
|
||||
printv(char* string, v4sf value)
|
||||
{
|
||||
v4sf v = value;
|
||||
uint32_t *p = (uint32_t *) &v;
|
||||
float *f = (float *)&v;
|
||||
printf("%s: %f(%x) %f(%x) %f(%x) %f(%x)\n", string,
|
||||
f[0], p[0], f[1], p[1], f[2], p[2], f[3], p[3]);
|
||||
}
|
||||
|
||||
PIPE_ALIGN_STACK
|
||||
static boolean
|
||||
test_sincos(unsigned verbose, FILE *fp, const struct sincos_test_case *testcase)
|
||||
{
|
||||
LLVMModuleRef module = NULL;
|
||||
LLVMValueRef test_sin = NULL, test_cos = NULL;
|
||||
LLVMExecutionEngineRef engine = NULL;
|
||||
LLVMModuleProviderRef provider = NULL;
|
||||
LLVMPassManagerRef pass = NULL;
|
||||
char *error = NULL;
|
||||
test_sincos_t sin_func;
|
||||
test_sincos_t cos_func;
|
||||
float unpacked[4];
|
||||
unsigned packed;
|
||||
boolean success = TRUE;
|
||||
|
||||
module = LLVMModuleCreateWithName("test");
|
||||
|
||||
test_sin = add_sincos_test(module, TRUE);
|
||||
test_cos = add_sincos_test(module, FALSE);
|
||||
|
||||
if(LLVMVerifyModule(module, LLVMPrintMessageAction, &error)) {
|
||||
printf("LLVMVerifyModule: %s\n", error);
|
||||
LLVMDumpModule(module);
|
||||
abort();
|
||||
}
|
||||
LLVMDisposeMessage(error);
|
||||
|
||||
provider = LLVMCreateModuleProviderForExistingModule(module);
|
||||
if (LLVMCreateJITCompiler(&engine, provider, 1, &error)) {
|
||||
fprintf(stderr, "%s\n", error);
|
||||
LLVMDisposeMessage(error);
|
||||
abort();
|
||||
}
|
||||
|
||||
#if 0
|
||||
pass = LLVMCreatePassManager();
|
||||
LLVMAddTargetData(LLVMGetExecutionEngineTargetData(engine), pass);
|
||||
/* These are the passes currently listed in llvm-c/Transforms/Scalar.h,
|
||||
* but there are more on SVN. */
|
||||
LLVMAddConstantPropagationPass(pass);
|
||||
LLVMAddInstructionCombiningPass(pass);
|
||||
LLVMAddPromoteMemoryToRegisterPass(pass);
|
||||
LLVMAddGVNPass(pass);
|
||||
LLVMAddCFGSimplificationPass(pass);
|
||||
LLVMRunPassManager(pass, module);
|
||||
#else
|
||||
(void)pass;
|
||||
#endif
|
||||
|
||||
sin_func = (test_sincos_t)LLVMGetPointerToGlobal(engine, test_sin);
|
||||
cos_func = (test_sincos_t)LLVMGetPointerToGlobal(engine, test_cos);
|
||||
|
||||
memset(unpacked, 0, sizeof unpacked);
|
||||
packed = 0;
|
||||
|
||||
|
||||
// LLVMDumpModule(module);
|
||||
{
|
||||
v4sf src = {3.14159/4.0, -3.14159/4.0, 1.0, -1.0};
|
||||
printv("ref ",sin_ps(src));
|
||||
printv("llvm", sin_func(src));
|
||||
printv("ref ",cos_ps(src));
|
||||
printv("llvm",cos_func(src));
|
||||
}
|
||||
|
||||
LLVMFreeMachineCodeForFunction(engine, test_sin);
|
||||
LLVMFreeMachineCodeForFunction(engine, test_cos);
|
||||
|
||||
LLVMDisposeExecutionEngine(engine);
|
||||
if(pass)
|
||||
LLVMDisposePassManager(pass);
|
||||
|
||||
return success;
|
||||
}
|
||||
|
||||
#else /* !PIPE_ARCH_SSE */
|
||||
|
||||
static boolean
|
||||
test_sincos(unsigned verbose, FILE *fp, const struct sincos_test_case *testcase)
|
||||
{
|
||||
return TRUE;
|
||||
}
|
||||
|
||||
#endif /* !PIPE_ARCH_SSE */
|
||||
|
||||
|
||||
boolean
|
||||
test_all(unsigned verbose, FILE *fp)
|
||||
{
|
||||
bool success = TRUE;
|
||||
|
||||
test_sincos(verbose, fp, NULL);
|
||||
|
||||
return success;
|
||||
}
|
||||
|
||||
|
||||
boolean
|
||||
test_some(unsigned verbose, FILE *fp, unsigned long n)
|
||||
{
|
||||
return test_all(verbose, fp);
|
||||
}
|
|
@ -0,0 +1,773 @@
|
|||
/* SIMD (SSE1+MMX or SSE2) implementation of sin, cos, exp and log
|
||||
|
||||
Inspired by Intel Approximate Math library, and based on the
|
||||
corresponding algorithms of the cephes math library
|
||||
|
||||
The default is to use the SSE1 version. If you define USE_SSE2 the
|
||||
the SSE2 intrinsics will be used in place of the MMX intrinsics. Do
|
||||
not expect any significant performance improvement with SSE2.
|
||||
*/
|
||||
|
||||
/* Copyright (C) 2007 Julien Pommier
|
||||
|
||||
This software is provided 'as-is', without any express or implied
|
||||
warranty. In no event will the authors be held liable for any damages
|
||||
arising from the use of this software.
|
||||
|
||||
Permission is granted to anyone to use this software for any purpose,
|
||||
including commercial applications, and to alter it and redistribute it
|
||||
freely, subject to the following restrictions:
|
||||
|
||||
1. The origin of this software must not be misrepresented; you must not
|
||||
claim that you wrote the original software. If you use this software
|
||||
in a product, an acknowledgment in the product documentation would be
|
||||
appreciated but is not required.
|
||||
2. Altered source versions must be plainly marked as such, and must not be
|
||||
misrepresented as being the original software.
|
||||
3. This notice may not be removed or altered from any source distribution.
|
||||
|
||||
(this is the zlib license)
|
||||
*/
|
||||
|
||||
#include <xmmintrin.h>
|
||||
|
||||
/* yes I know, the top of this file is quite ugly */
|
||||
|
||||
#ifdef _MSC_VER /* visual c++ */
|
||||
# define ALIGN16_BEG __declspec(align(16))
|
||||
# define ALIGN16_END
|
||||
#else /* gcc or icc */
|
||||
# define ALIGN16_BEG
|
||||
# define ALIGN16_END __attribute__((aligned(16)))
|
||||
#endif
|
||||
|
||||
/* __m128 is ugly to write */
|
||||
typedef __m128 v4sf; // vector of 4 float (sse1)
|
||||
|
||||
#ifdef USE_SSE2
|
||||
# include <emmintrin.h>
|
||||
typedef __m128i v4si; // vector of 4 int (sse2)
|
||||
#else
|
||||
typedef __m64 v2si; // vector of 2 int (mmx)
|
||||
#endif
|
||||
|
||||
/* declare some SSE constants -- why can't I figure a better way to do that? */
|
||||
#define _PS_CONST(Name, Val) \
|
||||
static const ALIGN16_BEG float _ps_##Name[4] ALIGN16_END = { Val, Val, Val, Val }
|
||||
#define _PI32_CONST(Name, Val) \
|
||||
static const ALIGN16_BEG int _pi32_##Name[4] ALIGN16_END = { Val, Val, Val, Val }
|
||||
#define _PS_CONST_TYPE(Name, Type, Val) \
|
||||
static const ALIGN16_BEG Type _ps_##Name[4] ALIGN16_END = { Val, Val, Val, Val }
|
||||
|
||||
_PS_CONST(1 , 1.0f);
|
||||
_PS_CONST(0p5, 0.5f);
|
||||
/* the smallest non denormalized float number */
|
||||
_PS_CONST_TYPE(min_norm_pos, int, 0x00800000);
|
||||
_PS_CONST_TYPE(mant_mask, int, 0x7f800000);
|
||||
_PS_CONST_TYPE(inv_mant_mask, int, ~0x7f800000);
|
||||
|
||||
_PS_CONST_TYPE(sign_mask, int, 0x80000000);
|
||||
_PS_CONST_TYPE(inv_sign_mask, int, ~0x80000000);
|
||||
|
||||
_PI32_CONST(1, 1);
|
||||
_PI32_CONST(inv1, ~1);
|
||||
_PI32_CONST(2, 2);
|
||||
_PI32_CONST(4, 4);
|
||||
_PI32_CONST(0x7f, 0x7f);
|
||||
|
||||
_PS_CONST(cephes_SQRTHF, 0.707106781186547524);
|
||||
_PS_CONST(cephes_log_p0, 7.0376836292E-2);
|
||||
_PS_CONST(cephes_log_p1, - 1.1514610310E-1);
|
||||
_PS_CONST(cephes_log_p2, 1.1676998740E-1);
|
||||
_PS_CONST(cephes_log_p3, - 1.2420140846E-1);
|
||||
_PS_CONST(cephes_log_p4, + 1.4249322787E-1);
|
||||
_PS_CONST(cephes_log_p5, - 1.6668057665E-1);
|
||||
_PS_CONST(cephes_log_p6, + 2.0000714765E-1);
|
||||
_PS_CONST(cephes_log_p7, - 2.4999993993E-1);
|
||||
_PS_CONST(cephes_log_p8, + 3.3333331174E-1);
|
||||
_PS_CONST(cephes_log_q1, -2.12194440e-4);
|
||||
_PS_CONST(cephes_log_q2, 0.693359375);
|
||||
|
||||
v4sf log_ps(v4sf x);
|
||||
v4sf exp_ps(v4sf x);
|
||||
v4sf sin_ps(v4sf x);
|
||||
v4sf cos_ps(v4sf x);
|
||||
void sincos_ps(v4sf x, v4sf *s, v4sf *c);
|
||||
|
||||
#if defined (__MINGW32__)
|
||||
|
||||
/* the ugly part below: many versions of gcc used to be completely buggy with respect to some intrinsics
|
||||
The movehl_ps is fixed in mingw 3.4.5, but I found out that all the _mm_cmp* intrinsics were completely
|
||||
broken on my mingw gcc 3.4.5 ...
|
||||
|
||||
Note that the bug on _mm_cmp* does occur only at -O0 optimization level
|
||||
*/
|
||||
|
||||
inline __m128 my_movehl_ps(__m128 a, const __m128 b) {
|
||||
asm (
|
||||
"movhlps %2,%0\n\t"
|
||||
: "=x" (a)
|
||||
: "0" (a), "x"(b)
|
||||
);
|
||||
return a; }
|
||||
#warning "redefined _mm_movehl_ps (see gcc bug 21179)"
|
||||
#define _mm_movehl_ps my_movehl_ps
|
||||
|
||||
inline __m128 my_cmplt_ps(__m128 a, const __m128 b) {
|
||||
asm (
|
||||
"cmpltps %2,%0\n\t"
|
||||
: "=x" (a)
|
||||
: "0" (a), "x"(b)
|
||||
);
|
||||
return a;
|
||||
}
|
||||
inline __m128 my_cmpgt_ps(__m128 a, const __m128 b) {
|
||||
asm (
|
||||
"cmpnleps %2,%0\n\t"
|
||||
: "=x" (a)
|
||||
: "0" (a), "x"(b)
|
||||
);
|
||||
return a;
|
||||
}
|
||||
inline __m128 my_cmpeq_ps(__m128 a, const __m128 b) {
|
||||
asm (
|
||||
"cmpeqps %2,%0\n\t"
|
||||
: "=x" (a)
|
||||
: "0" (a), "x"(b)
|
||||
);
|
||||
return a;
|
||||
}
|
||||
#warning "redefined _mm_cmpxx_ps functions..."
|
||||
#define _mm_cmplt_ps my_cmplt_ps
|
||||
#define _mm_cmpgt_ps my_cmpgt_ps
|
||||
#define _mm_cmpeq_ps my_cmpeq_ps
|
||||
#endif
|
||||
|
||||
#ifndef USE_SSE2
|
||||
typedef union xmm_mm_union {
|
||||
__m128 xmm;
|
||||
__m64 mm[2];
|
||||
} xmm_mm_union;
|
||||
|
||||
#define COPY_XMM_TO_MM(xmm_, mm0_, mm1_) { \
|
||||
xmm_mm_union u; u.xmm = xmm_; \
|
||||
mm0_ = u.mm[0]; \
|
||||
mm1_ = u.mm[1]; \
|
||||
}
|
||||
|
||||
#define COPY_MM_TO_XMM(mm0_, mm1_, xmm_) { \
|
||||
xmm_mm_union u; u.mm[0]=mm0_; u.mm[1]=mm1_; xmm_ = u.xmm; \
|
||||
}
|
||||
|
||||
#endif // USE_SSE2
|
||||
|
||||
/* natural logarithm computed for 4 simultaneous float
|
||||
return NaN for x <= 0
|
||||
*/
|
||||
v4sf log_ps(v4sf x) {
|
||||
#ifdef USE_SSE2
|
||||
v4si emm0;
|
||||
#else
|
||||
v2si mm0, mm1;
|
||||
#endif
|
||||
v4sf one = *(v4sf*)_ps_1;
|
||||
|
||||
v4sf invalid_mask = _mm_cmple_ps(x, _mm_setzero_ps());
|
||||
v4sf e, mask, tmp, z, y;
|
||||
|
||||
x = _mm_max_ps(x, *(v4sf*)_ps_min_norm_pos); /* cut off denormalized stuff */
|
||||
|
||||
#ifndef USE_SSE2
|
||||
/* part 1: x = frexpf(x, &e); */
|
||||
COPY_XMM_TO_MM(x, mm0, mm1);
|
||||
mm0 = _mm_srli_pi32(mm0, 23);
|
||||
mm1 = _mm_srli_pi32(mm1, 23);
|
||||
#else
|
||||
emm0 = _mm_srli_epi32(_mm_castps_si128(x), 23);
|
||||
#endif
|
||||
/* keep only the fractional part */
|
||||
x = _mm_and_ps(x, *(v4sf*)_ps_inv_mant_mask);
|
||||
x = _mm_or_ps(x, *(v4sf*)_ps_0p5);
|
||||
|
||||
#ifndef USE_SSE2
|
||||
/* now e=mm0:mm1 contain the really base-2 exponent */
|
||||
mm0 = _mm_sub_pi32(mm0, *(v2si*)_pi32_0x7f);
|
||||
mm1 = _mm_sub_pi32(mm1, *(v2si*)_pi32_0x7f);
|
||||
e = _mm_cvtpi32x2_ps(mm0, mm1);
|
||||
_mm_empty(); /* bye bye mmx */
|
||||
#else
|
||||
emm0 = _mm_sub_epi32(emm0, *(v4si*)_pi32_0x7f);
|
||||
e = _mm_cvtepi32_ps(emm0);
|
||||
#endif
|
||||
|
||||
e = _mm_add_ps(e, one);
|
||||
|
||||
/* part2:
|
||||
if( x < SQRTHF ) {
|
||||
e -= 1;
|
||||
x = x + x - 1.0;
|
||||
} else { x = x - 1.0; }
|
||||
*/
|
||||
|
||||
mask = _mm_cmplt_ps(x, *(v4sf*)_ps_cephes_SQRTHF);
|
||||
tmp = _mm_and_ps(x, mask);
|
||||
x = _mm_sub_ps(x, one);
|
||||
e = _mm_sub_ps(e, _mm_and_ps(one, mask));
|
||||
x = _mm_add_ps(x, tmp);
|
||||
|
||||
|
||||
z = _mm_mul_ps(x,x);
|
||||
|
||||
y = *(v4sf*)_ps_cephes_log_p0;
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p1);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p2);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p3);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p4);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p5);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p6);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p7);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_log_p8);
|
||||
y = _mm_mul_ps(y, x);
|
||||
|
||||
y = _mm_mul_ps(y, z);
|
||||
|
||||
|
||||
tmp = _mm_mul_ps(e, *(v4sf*)_ps_cephes_log_q1);
|
||||
y = _mm_add_ps(y, tmp);
|
||||
|
||||
|
||||
tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
|
||||
y = _mm_sub_ps(y, tmp);
|
||||
|
||||
tmp = _mm_mul_ps(e, *(v4sf*)_ps_cephes_log_q2);
|
||||
x = _mm_add_ps(x, y);
|
||||
x = _mm_add_ps(x, tmp);
|
||||
x = _mm_or_ps(x, invalid_mask); // negative arg will be NAN
|
||||
return x;
|
||||
}
|
||||
|
||||
_PS_CONST(exp_hi, 88.3762626647949f);
|
||||
_PS_CONST(exp_lo, -88.3762626647949f);
|
||||
|
||||
_PS_CONST(cephes_LOG2EF, 1.44269504088896341);
|
||||
_PS_CONST(cephes_exp_C1, 0.693359375);
|
||||
_PS_CONST(cephes_exp_C2, -2.12194440e-4);
|
||||
|
||||
_PS_CONST(cephes_exp_p0, 1.9875691500E-4);
|
||||
_PS_CONST(cephes_exp_p1, 1.3981999507E-3);
|
||||
_PS_CONST(cephes_exp_p2, 8.3334519073E-3);
|
||||
_PS_CONST(cephes_exp_p3, 4.1665795894E-2);
|
||||
_PS_CONST(cephes_exp_p4, 1.6666665459E-1);
|
||||
_PS_CONST(cephes_exp_p5, 5.0000001201E-1);
|
||||
|
||||
v4sf exp_ps(v4sf x) {
|
||||
v4sf tmp = _mm_setzero_ps(), fx;
|
||||
#ifdef USE_SSE2
|
||||
v4si emm0;
|
||||
#else
|
||||
v2si mm0, mm1;
|
||||
#endif
|
||||
v4sf one = *(v4sf*)_ps_1;
|
||||
v4sf mask, z, y, pow2n;
|
||||
|
||||
x = _mm_min_ps(x, *(v4sf*)_ps_exp_hi);
|
||||
x = _mm_max_ps(x, *(v4sf*)_ps_exp_lo);
|
||||
|
||||
/* express exp(x) as exp(g + n*log(2)) */
|
||||
fx = _mm_mul_ps(x, *(v4sf*)_ps_cephes_LOG2EF);
|
||||
fx = _mm_add_ps(fx, *(v4sf*)_ps_0p5);
|
||||
|
||||
/* how to perform a floorf with SSE: just below */
|
||||
#ifndef USE_SSE2
|
||||
/* step 1 : cast to int */
|
||||
tmp = _mm_movehl_ps(tmp, fx);
|
||||
mm0 = _mm_cvttps_pi32(fx);
|
||||
mm1 = _mm_cvttps_pi32(tmp);
|
||||
/* step 2 : cast back to float */
|
||||
tmp = _mm_cvtpi32x2_ps(mm0, mm1);
|
||||
#else
|
||||
emm0 = _mm_cvttps_epi32(fx);
|
||||
tmp = _mm_cvtepi32_ps(emm0);
|
||||
#endif
|
||||
/* if greater, substract 1 */
|
||||
mask = _mm_cmpgt_ps(tmp, fx);
|
||||
mask = _mm_and_ps(mask, one);
|
||||
fx = _mm_sub_ps(tmp, mask);
|
||||
|
||||
tmp = _mm_mul_ps(fx, *(v4sf*)_ps_cephes_exp_C1);
|
||||
z = _mm_mul_ps(fx, *(v4sf*)_ps_cephes_exp_C2);
|
||||
x = _mm_sub_ps(x, tmp);
|
||||
x = _mm_sub_ps(x, z);
|
||||
|
||||
z = _mm_mul_ps(x,x);
|
||||
|
||||
y = *(v4sf*)_ps_cephes_exp_p0;
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_exp_p1);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_exp_p2);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_exp_p3);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_exp_p4);
|
||||
y = _mm_mul_ps(y, x);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_cephes_exp_p5);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, x);
|
||||
y = _mm_add_ps(y, one);
|
||||
|
||||
/* build 2^n */
|
||||
#ifndef USE_SSE2
|
||||
z = _mm_movehl_ps(z, fx);
|
||||
mm0 = _mm_cvttps_pi32(fx);
|
||||
mm1 = _mm_cvttps_pi32(z);
|
||||
mm0 = _mm_add_pi32(mm0, *(v2si*)_pi32_0x7f);
|
||||
mm1 = _mm_add_pi32(mm1, *(v2si*)_pi32_0x7f);
|
||||
mm0 = _mm_slli_pi32(mm0, 23);
|
||||
mm1 = _mm_slli_pi32(mm1, 23);
|
||||
|
||||
COPY_MM_TO_XMM(mm0, mm1, pow2n);
|
||||
_mm_empty();
|
||||
#else
|
||||
emm0 = _mm_cvttps_epi32(fx);
|
||||
emm0 = _mm_add_epi32(emm0, *(v4si*)_pi32_0x7f);
|
||||
emm0 = _mm_slli_epi32(emm0, 23);
|
||||
pow2n = _mm_castsi128_ps(emm0);
|
||||
#endif
|
||||
y = _mm_mul_ps(y, pow2n);
|
||||
return y;
|
||||
}
|
||||
|
||||
_PS_CONST(minus_cephes_DP1, -0.78515625);
|
||||
_PS_CONST(minus_cephes_DP2, -2.4187564849853515625e-4);
|
||||
_PS_CONST(minus_cephes_DP3, -3.77489497744594108e-8);
|
||||
_PS_CONST(sincof_p0, -1.9515295891E-4);
|
||||
_PS_CONST(sincof_p1, 8.3321608736E-3);
|
||||
_PS_CONST(sincof_p2, -1.6666654611E-1);
|
||||
_PS_CONST(coscof_p0, 2.443315711809948E-005);
|
||||
_PS_CONST(coscof_p1, -1.388731625493765E-003);
|
||||
_PS_CONST(coscof_p2, 4.166664568298827E-002);
|
||||
_PS_CONST(cephes_FOPI, 1.27323954473516); // 4 / M_PI
|
||||
|
||||
|
||||
/* evaluation of 4 sines at onces, using only SSE1+MMX intrinsics so
|
||||
it runs also on old athlons XPs and the pentium III of your grand
|
||||
mother.
|
||||
|
||||
The code is the exact rewriting of the cephes sinf function.
|
||||
Precision is excellent as long as x < 8192 (I did not bother to
|
||||
take into account the special handling they have for greater values
|
||||
-- it does not return garbage for arguments over 8192, though, but
|
||||
the extra precision is missing).
|
||||
|
||||
Note that it is such that sinf((float)M_PI) = 8.74e-8, which is the
|
||||
surprising but correct result.
|
||||
|
||||
Performance is also surprisingly good, 1.33 times faster than the
|
||||
macos vsinf SSE2 function, and 1.5 times faster than the
|
||||
__vrs4_sinf of amd's ACML (which is only available in 64 bits). Not
|
||||
too bad for an SSE1 function (with no special tuning) !
|
||||
However the latter libraries probably have a much better handling of NaN,
|
||||
Inf, denormalized and other special arguments..
|
||||
|
||||
On my core 1 duo, the execution of this function takes approximately 95 cycles.
|
||||
|
||||
From what I have observed on the experiments with Intel AMath lib, switching to an
|
||||
SSE2 version would improve the perf by only 10%.
|
||||
|
||||
Since it is based on SSE intrinsics, it has to be compiled at -O2 to
|
||||
deliver full speed.
|
||||
*/
|
||||
v4sf sin_ps(v4sf x) { // any x
|
||||
v4sf xmm1, xmm2 = _mm_setzero_ps(), xmm3, sign_bit, y;
|
||||
|
||||
#ifdef USE_SSE2
|
||||
v4si emm0, emm2;
|
||||
#else
|
||||
v2si mm0, mm1, mm2, mm3;
|
||||
#endif
|
||||
v4sf swap_sign_bit, poly_mask, z, tmp, y2;
|
||||
|
||||
sign_bit = x;
|
||||
/* take the absolute value */
|
||||
x = _mm_and_ps(x, *(v4sf*)_ps_inv_sign_mask);
|
||||
/* extract the sign bit (upper one) */
|
||||
sign_bit = _mm_and_ps(sign_bit, *(v4sf*)_ps_sign_mask);
|
||||
|
||||
/* scale by 4/Pi */
|
||||
y = _mm_mul_ps(x, *(v4sf*)_ps_cephes_FOPI);
|
||||
|
||||
//printf("plop:"); print4(y);
|
||||
#ifdef USE_SSE2
|
||||
/* store the integer part of y in mm0 */
|
||||
emm2 = _mm_cvttps_epi32(y);
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
emm2 = _mm_add_epi32(emm2, *(v4si*)_pi32_1);
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_inv1);
|
||||
y = _mm_cvtepi32_ps(emm2);
|
||||
/* get the swap sign flag */
|
||||
emm0 = _mm_and_si128(emm2, *(v4si*)_pi32_4);
|
||||
emm0 = _mm_slli_epi32(emm0, 29);
|
||||
/* get the polynom selection mask
|
||||
there is one polynom for 0 <= x <= Pi/4
|
||||
and another one for Pi/4<x<=Pi/2
|
||||
|
||||
Both branches will be computed.
|
||||
*/
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_2);
|
||||
emm2 = _mm_cmpeq_epi32(emm2, _mm_setzero_si128());
|
||||
|
||||
swap_sign_bit = _mm_castsi128_ps(emm0);
|
||||
poly_mask = _mm_castsi128_ps(emm2);
|
||||
sign_bit = _mm_xor_ps(sign_bit, swap_sign_bit);
|
||||
#else
|
||||
/* store the integer part of y in mm0:mm1 */
|
||||
xmm2 = _mm_movehl_ps(xmm2, y);
|
||||
mm2 = _mm_cvttps_pi32(y);
|
||||
mm3 = _mm_cvttps_pi32(xmm2);
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
mm2 = _mm_add_pi32(mm2, *(v2si*)_pi32_1);
|
||||
mm3 = _mm_add_pi32(mm3, *(v2si*)_pi32_1);
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_inv1);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_inv1);
|
||||
y = _mm_cvtpi32x2_ps(mm2, mm3);
|
||||
/* get the swap sign flag */
|
||||
mm0 = _mm_and_si64(mm2, *(v2si*)_pi32_4);
|
||||
mm1 = _mm_and_si64(mm3, *(v2si*)_pi32_4);
|
||||
mm0 = _mm_slli_pi32(mm0, 29);
|
||||
mm1 = _mm_slli_pi32(mm1, 29);
|
||||
/* get the polynom selection mask */
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_2);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_2);
|
||||
mm2 = _mm_cmpeq_pi32(mm2, _mm_setzero_si64());
|
||||
mm3 = _mm_cmpeq_pi32(mm3, _mm_setzero_si64());
|
||||
|
||||
COPY_MM_TO_XMM(mm0, mm1, swap_sign_bit);
|
||||
COPY_MM_TO_XMM(mm2, mm3, poly_mask);
|
||||
sign_bit = _mm_xor_ps(sign_bit, swap_sign_bit);
|
||||
_mm_empty(); /* good-bye mmx */
|
||||
#endif
|
||||
|
||||
/* The magic pass: "Extended precision modular arithmetic"
|
||||
x = ((x - y * DP1) - y * DP2) - y * DP3; */
|
||||
xmm1 = *(v4sf*)_ps_minus_cephes_DP1;
|
||||
xmm2 = *(v4sf*)_ps_minus_cephes_DP2;
|
||||
xmm3 = *(v4sf*)_ps_minus_cephes_DP3;
|
||||
xmm1 = _mm_mul_ps(y, xmm1);
|
||||
xmm2 = _mm_mul_ps(y, xmm2);
|
||||
xmm3 = _mm_mul_ps(y, xmm3);
|
||||
x = _mm_add_ps(x, xmm1);
|
||||
x = _mm_add_ps(x, xmm2);
|
||||
x = _mm_add_ps(x, xmm3);
|
||||
|
||||
/* Evaluate the first polynom (0 <= x <= Pi/4) */
|
||||
y = *(v4sf*)_ps_coscof_p0;
|
||||
z = _mm_mul_ps(x,x);
|
||||
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p1);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p2);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_mul_ps(y, z);
|
||||
tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
|
||||
y = _mm_sub_ps(y, tmp);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_1);
|
||||
|
||||
/* Evaluate the second polynom (Pi/4 <= x <= 0) */
|
||||
|
||||
y2 = *(v4sf*)_ps_sincof_p0;
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p1);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p2);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_mul_ps(y2, x);
|
||||
y2 = _mm_add_ps(y2, x);
|
||||
|
||||
/* select the correct result from the two polynoms */
|
||||
xmm3 = poly_mask;
|
||||
y2 = _mm_and_ps(xmm3, y2); //, xmm3);
|
||||
y = _mm_andnot_ps(xmm3, y);
|
||||
y = _mm_add_ps(y,y2);
|
||||
/* update the sign */
|
||||
y = _mm_xor_ps(y, sign_bit);
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/* almost the same as sin_ps */
|
||||
v4sf cos_ps(v4sf x) { // any x
|
||||
v4sf xmm1, xmm2 = _mm_setzero_ps(), xmm3, y;
|
||||
#ifdef USE_SSE2
|
||||
v4si emm0, emm2;
|
||||
#else
|
||||
v2si mm0, mm1, mm2, mm3;
|
||||
#endif
|
||||
v4sf sign_bit, poly_mask, z, tmp, y2;
|
||||
|
||||
/* take the absolute value */
|
||||
x = _mm_and_ps(x, *(v4sf*)_ps_inv_sign_mask);
|
||||
|
||||
/* scale by 4/Pi */
|
||||
y = _mm_mul_ps(x, *(v4sf*)_ps_cephes_FOPI);
|
||||
|
||||
#ifdef USE_SSE2
|
||||
/* store the integer part of y in mm0 */
|
||||
emm2 = _mm_cvttps_epi32(y);
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
emm2 = _mm_add_epi32(emm2, *(v4si*)_pi32_1);
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_inv1);
|
||||
y = _mm_cvtepi32_ps(emm2);
|
||||
|
||||
emm2 = _mm_sub_epi32(emm2, *(v4si*)_pi32_2);
|
||||
|
||||
/* get the swap sign flag */
|
||||
emm0 = _mm_andnot_si128(emm2, *(v4si*)_pi32_4);
|
||||
emm0 = _mm_slli_epi32(emm0, 29);
|
||||
/* get the polynom selection mask */
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_2);
|
||||
emm2 = _mm_cmpeq_epi32(emm2, _mm_setzero_si128());
|
||||
|
||||
sign_bit = _mm_castsi128_ps(emm0);
|
||||
poly_mask = _mm_castsi128_ps(emm2);
|
||||
#else
|
||||
/* store the integer part of y in mm0:mm1 */
|
||||
xmm2 = _mm_movehl_ps(xmm2, y);
|
||||
mm2 = _mm_cvttps_pi32(y);
|
||||
mm3 = _mm_cvttps_pi32(xmm2);
|
||||
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
mm2 = _mm_add_pi32(mm2, *(v2si*)_pi32_1);
|
||||
mm3 = _mm_add_pi32(mm3, *(v2si*)_pi32_1);
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_inv1);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_inv1);
|
||||
|
||||
y = _mm_cvtpi32x2_ps(mm2, mm3);
|
||||
|
||||
|
||||
mm2 = _mm_sub_pi32(mm2, *(v2si*)_pi32_2);
|
||||
mm3 = _mm_sub_pi32(mm3, *(v2si*)_pi32_2);
|
||||
|
||||
/* get the swap sign flag in mm0:mm1 and the
|
||||
polynom selection mask in mm2:mm3 */
|
||||
|
||||
mm0 = _mm_andnot_si64(mm2, *(v2si*)_pi32_4);
|
||||
mm1 = _mm_andnot_si64(mm3, *(v2si*)_pi32_4);
|
||||
mm0 = _mm_slli_pi32(mm0, 29);
|
||||
mm1 = _mm_slli_pi32(mm1, 29);
|
||||
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_2);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_2);
|
||||
|
||||
mm2 = _mm_cmpeq_pi32(mm2, _mm_setzero_si64());
|
||||
mm3 = _mm_cmpeq_pi32(mm3, _mm_setzero_si64());
|
||||
|
||||
COPY_MM_TO_XMM(mm0, mm1, sign_bit);
|
||||
COPY_MM_TO_XMM(mm2, mm3, poly_mask);
|
||||
_mm_empty(); /* good-bye mmx */
|
||||
#endif
|
||||
/* The magic pass: "Extended precision modular arithmetic"
|
||||
x = ((x - y * DP1) - y * DP2) - y * DP3; */
|
||||
xmm1 = *(v4sf*)_ps_minus_cephes_DP1;
|
||||
xmm2 = *(v4sf*)_ps_minus_cephes_DP2;
|
||||
xmm3 = *(v4sf*)_ps_minus_cephes_DP3;
|
||||
xmm1 = _mm_mul_ps(y, xmm1);
|
||||
xmm2 = _mm_mul_ps(y, xmm2);
|
||||
xmm3 = _mm_mul_ps(y, xmm3);
|
||||
x = _mm_add_ps(x, xmm1);
|
||||
x = _mm_add_ps(x, xmm2);
|
||||
x = _mm_add_ps(x, xmm3);
|
||||
|
||||
/* Evaluate the first polynom (0 <= x <= Pi/4) */
|
||||
y = *(v4sf*)_ps_coscof_p0;
|
||||
z = _mm_mul_ps(x,x);
|
||||
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p1);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p2);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_mul_ps(y, z);
|
||||
tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
|
||||
y = _mm_sub_ps(y, tmp);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_1);
|
||||
|
||||
/* Evaluate the second polynom (Pi/4 <= x <= 0) */
|
||||
|
||||
y2 = *(v4sf*)_ps_sincof_p0;
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p1);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p2);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_mul_ps(y2, x);
|
||||
y2 = _mm_add_ps(y2, x);
|
||||
|
||||
/* select the correct result from the two polynoms */
|
||||
xmm3 = poly_mask;
|
||||
y2 = _mm_and_ps(xmm3, y2); //, xmm3);
|
||||
y = _mm_andnot_ps(xmm3, y);
|
||||
y = _mm_add_ps(y,y2);
|
||||
/* update the sign */
|
||||
y = _mm_xor_ps(y, sign_bit);
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/* since sin_ps and cos_ps are almost identical, sincos_ps could replace both of them..
|
||||
it is almost as fast, and gives you a free cosine with your sine */
|
||||
void sincos_ps(v4sf x, v4sf *s, v4sf *c) {
|
||||
v4sf xmm1, xmm2, xmm3 = _mm_setzero_ps(), sign_bit_sin, y;
|
||||
#ifdef USE_SSE2
|
||||
v4si emm0, emm2, emm4;
|
||||
#else
|
||||
v2si mm0, mm1, mm2, mm3, mm4, mm5;
|
||||
#endif
|
||||
v4sf swap_sign_bit_sin, poly_mask, z, tmp, y2, ysin1, ysin2;
|
||||
v4sf sign_bit_cos;
|
||||
|
||||
sign_bit_sin = x;
|
||||
/* take the absolute value */
|
||||
x = _mm_and_ps(x, *(v4sf*)_ps_inv_sign_mask);
|
||||
/* extract the sign bit (upper one) */
|
||||
sign_bit_sin = _mm_and_ps(sign_bit_sin, *(v4sf*)_ps_sign_mask);
|
||||
|
||||
/* scale by 4/Pi */
|
||||
y = _mm_mul_ps(x, *(v4sf*)_ps_cephes_FOPI);
|
||||
|
||||
#ifdef USE_SSE2
|
||||
/* store the integer part of y in emm2 */
|
||||
emm2 = _mm_cvttps_epi32(y);
|
||||
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
emm2 = _mm_add_epi32(emm2, *(v4si*)_pi32_1);
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_inv1);
|
||||
y = _mm_cvtepi32_ps(emm2);
|
||||
|
||||
emm4 = emm2;
|
||||
|
||||
/* get the swap sign flag for the sine */
|
||||
emm0 = _mm_and_si128(emm2, *(v4si*)_pi32_4);
|
||||
emm0 = _mm_slli_epi32(emm0, 29);
|
||||
swap_sign_bit_sin = _mm_castsi128_ps(emm0);
|
||||
|
||||
/* get the polynom selection mask for the sine*/
|
||||
emm2 = _mm_and_si128(emm2, *(v4si*)_pi32_2);
|
||||
emm2 = _mm_cmpeq_epi32(emm2, _mm_setzero_si128());
|
||||
poly_mask = _mm_castsi128_ps(emm2);
|
||||
#else
|
||||
/* store the integer part of y in mm2:mm3 */
|
||||
xmm3 = _mm_movehl_ps(xmm3, y);
|
||||
mm2 = _mm_cvttps_pi32(y);
|
||||
mm3 = _mm_cvttps_pi32(xmm3);
|
||||
|
||||
/* j=(j+1) & (~1) (see the cephes sources) */
|
||||
mm2 = _mm_add_pi32(mm2, *(v2si*)_pi32_1);
|
||||
mm3 = _mm_add_pi32(mm3, *(v2si*)_pi32_1);
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_inv1);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_inv1);
|
||||
|
||||
y = _mm_cvtpi32x2_ps(mm2, mm3);
|
||||
|
||||
mm4 = mm2;
|
||||
mm5 = mm3;
|
||||
|
||||
/* get the swap sign flag for the sine */
|
||||
mm0 = _mm_and_si64(mm2, *(v2si*)_pi32_4);
|
||||
mm1 = _mm_and_si64(mm3, *(v2si*)_pi32_4);
|
||||
mm0 = _mm_slli_pi32(mm0, 29);
|
||||
mm1 = _mm_slli_pi32(mm1, 29);
|
||||
|
||||
COPY_MM_TO_XMM(mm0, mm1, swap_sign_bit_sin);
|
||||
|
||||
/* get the polynom selection mask for the sine */
|
||||
|
||||
mm2 = _mm_and_si64(mm2, *(v2si*)_pi32_2);
|
||||
mm3 = _mm_and_si64(mm3, *(v2si*)_pi32_2);
|
||||
mm2 = _mm_cmpeq_pi32(mm2, _mm_setzero_si64());
|
||||
mm3 = _mm_cmpeq_pi32(mm3, _mm_setzero_si64());
|
||||
|
||||
COPY_MM_TO_XMM(mm2, mm3, poly_mask);
|
||||
#endif
|
||||
|
||||
/* The magic pass: "Extended precision modular arithmetic"
|
||||
x = ((x - y * DP1) - y * DP2) - y * DP3; */
|
||||
xmm1 = *(v4sf*)_ps_minus_cephes_DP1;
|
||||
xmm2 = *(v4sf*)_ps_minus_cephes_DP2;
|
||||
xmm3 = *(v4sf*)_ps_minus_cephes_DP3;
|
||||
xmm1 = _mm_mul_ps(y, xmm1);
|
||||
xmm2 = _mm_mul_ps(y, xmm2);
|
||||
xmm3 = _mm_mul_ps(y, xmm3);
|
||||
x = _mm_add_ps(x, xmm1);
|
||||
x = _mm_add_ps(x, xmm2);
|
||||
x = _mm_add_ps(x, xmm3);
|
||||
|
||||
#ifdef USE_SSE2
|
||||
emm4 = _mm_sub_epi32(emm4, *(v4si*)_pi32_2);
|
||||
emm4 = _mm_andnot_si128(emm4, *(v4si*)_pi32_4);
|
||||
emm4 = _mm_slli_epi32(emm4, 29);
|
||||
sign_bit_cos = _mm_castsi128_ps(emm4);
|
||||
#else
|
||||
/* get the sign flag for the cosine */
|
||||
mm4 = _mm_sub_pi32(mm4, *(v2si*)_pi32_2);
|
||||
mm5 = _mm_sub_pi32(mm5, *(v2si*)_pi32_2);
|
||||
mm4 = _mm_andnot_si64(mm4, *(v2si*)_pi32_4);
|
||||
mm5 = _mm_andnot_si64(mm5, *(v2si*)_pi32_4);
|
||||
mm4 = _mm_slli_pi32(mm4, 29);
|
||||
mm5 = _mm_slli_pi32(mm5, 29);
|
||||
COPY_MM_TO_XMM(mm4, mm5, sign_bit_cos);
|
||||
_mm_empty(); /* good-bye mmx */
|
||||
#endif
|
||||
|
||||
sign_bit_sin = _mm_xor_ps(sign_bit_sin, swap_sign_bit_sin);
|
||||
|
||||
|
||||
/* Evaluate the first polynom (0 <= x <= Pi/4) */
|
||||
z = _mm_mul_ps(x,x);
|
||||
y = *(v4sf*)_ps_coscof_p0;
|
||||
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p1);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_coscof_p2);
|
||||
y = _mm_mul_ps(y, z);
|
||||
y = _mm_mul_ps(y, z);
|
||||
tmp = _mm_mul_ps(z, *(v4sf*)_ps_0p5);
|
||||
y = _mm_sub_ps(y, tmp);
|
||||
y = _mm_add_ps(y, *(v4sf*)_ps_1);
|
||||
|
||||
/* Evaluate the second polynom (Pi/4 <= x <= 0) */
|
||||
|
||||
y2 = *(v4sf*)_ps_sincof_p0;
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p1);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_add_ps(y2, *(v4sf*)_ps_sincof_p2);
|
||||
y2 = _mm_mul_ps(y2, z);
|
||||
y2 = _mm_mul_ps(y2, x);
|
||||
y2 = _mm_add_ps(y2, x);
|
||||
|
||||
/* select the correct result from the two polynoms */
|
||||
xmm3 = poly_mask;
|
||||
ysin2 = _mm_and_ps(xmm3, y2);
|
||||
ysin1 = _mm_andnot_ps(xmm3, y);
|
||||
y2 = _mm_sub_ps(y2,ysin2);
|
||||
y = _mm_sub_ps(y, ysin1);
|
||||
|
||||
xmm1 = _mm_add_ps(ysin1,ysin2);
|
||||
xmm2 = _mm_add_ps(y,y2);
|
||||
|
||||
/* update the sign */
|
||||
*s = _mm_xor_ps(xmm1, sign_bit_sin);
|
||||
*c = _mm_xor_ps(xmm2, sign_bit_cos);
|
||||
}
|
||||
|
Loading…
Reference in New Issue