+++ /dev/null
-/**************************************************************************
- *
- * 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 "util/u_pointer.h"
-
-#include "gallivm/lp_bld.h"
-#include "gallivm/lp_bld_init.h"
-#include "gallivm/lp_bld_arit.h"
-
-#include "lp_test.h"
-
-
-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(struct gallivm_state *gallivm, LLVMModuleRef module,
- LLVMContextRef context, boolean sin)
-{
- LLVMTypeRef v4sf = LLVMVectorType(LLVMFloatTypeInContext(context), 4);
- LLVMTypeRef args[1] = { v4sf };
- LLVMValueRef func = LLVMAddFunction(module, "sincos", LLVMFunctionType(v4sf, args, 1, 0));
- LLVMValueRef arg1 = LLVMGetParam(func, 0);
- LLVMBuilderRef builder = gallivm->builder;
- LLVMBasicBlockRef block = LLVMAppendBasicBlockInContext(context, func, "entry");
- LLVMValueRef ret;
- struct lp_build_context bld;
-
- lp_build_context_init(&bld, gallivm, lp_float32_vec4_type());
-
- LLVMSetFunctionCallConv(func, LLVMCCallConv);
-
- LLVMPositionBuilderAtEnd(builder, block);
- ret = sin ? lp_build_sin(&bld, arg1) : lp_build_cos(&bld, arg1);
- LLVMBuildRet(builder, ret);
- 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(struct gallivm_state *gallivm, unsigned verbose, FILE *fp)
-{
- LLVMModuleRef module = gallivm->module;
- LLVMValueRef test_sin = NULL, test_cos = NULL;
- LLVMExecutionEngineRef engine = gallivm->engine;
- LLVMContextRef context = gallivm->context;
- char *error = NULL;
- test_sincos_t sin_func;
- test_sincos_t cos_func;
- float unpacked[4];
- boolean success = TRUE;
-
- test_sin = add_sincos_test(gallivm, module, context, TRUE);
- test_cos = add_sincos_test(gallivm, module, context,FALSE);
-
- if(LLVMVerifyModule(module, LLVMPrintMessageAction, &error)) {
- printf("LLVMVerifyModule: %s\n", error);
- LLVMDumpModule(module);
- abort();
- }
- LLVMDisposeMessage(error);
-
- sin_func = (test_sincos_t) pointer_to_func(LLVMGetPointerToGlobal(engine, test_sin));
- cos_func = (test_sincos_t) pointer_to_func(LLVMGetPointerToGlobal(engine, test_cos));
-
- memset(unpacked, 0, sizeof unpacked);
-
-
- // 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);
-
- return success;
-}
-
-#else /* !PIPE_ARCH_SSE */
-
-static boolean
-test_sincos(struct gallivm_state *gallivm, unsigned verbose, FILE *fp)
-{
- return TRUE;
-}
-
-#endif /* !PIPE_ARCH_SSE */
-
-
-boolean
-test_all(struct gallivm_state *gallivm, unsigned verbose, FILE *fp)
-{
- boolean success = TRUE;
-
- test_sincos(gallivm, verbose, fp);
-
- return success;
-}
-
-
-boolean
-test_some(struct gallivm_state *gallivm, unsigned verbose, FILE *fp,
- unsigned long n)
-{
- return test_all(gallivm, verbose, fp);
-}
-
-boolean
-test_single(struct gallivm_state *gallivm, unsigned verbose, FILE *fp)
-{
- printf("no test_single()");
- return TRUE;
-}
+++ /dev/null
-/* 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);
-
-#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);
-}
-
projects / mesa.git / commitdiff