diff options
| author | Jørgen P. Tjernø <[email protected]> | 2013-12-02 19:31:46 -0800 |
|---|---|---|
| committer | Jørgen P. Tjernø <[email protected]> | 2013-12-02 19:46:31 -0800 |
| commit | f56bb35301836e56582a575a75864392a0177875 (patch) | |
| tree | de61ddd39de3e7df52759711950b4c288592f0dc /sp/src/mathlib/sse.cpp | |
| parent | Mark some more files as text. (diff) | |
| download | source-sdk-2013-f56bb35301836e56582a575a75864392a0177875.tar.xz source-sdk-2013-f56bb35301836e56582a575a75864392a0177875.zip | |
Fix line endings. WHAMMY.
Diffstat (limited to 'sp/src/mathlib/sse.cpp')
| -rw-r--r-- | sp/src/mathlib/sse.cpp | 2190 |
1 files changed, 1095 insertions, 1095 deletions
diff --git a/sp/src/mathlib/sse.cpp b/sp/src/mathlib/sse.cpp index 6e41683f..a2445c79 100644 --- a/sp/src/mathlib/sse.cpp +++ b/sp/src/mathlib/sse.cpp @@ -1,1095 +1,1095 @@ -//========= Copyright Valve Corporation, All rights reserved. ============//
-//
-// Purpose: SSE Math primitives.
-//
-//=====================================================================================//
-
-#include <math.h>
-#include <float.h> // Needed for FLT_EPSILON
-#include "basetypes.h"
-#include <memory.h>
-#include "tier0/dbg.h"
-#include "mathlib/mathlib.h"
-#include "mathlib/vector.h"
-#include "sse.h"
-
-// memdbgon must be the last include file in a .cpp file!!!
-#include "tier0/memdbgon.h"
-
-#ifndef COMPILER_MSVC64
-// Implement for 64-bit Windows if needed.
-
-static const uint32 _sincos_masks[] = { (uint32)0x0, (uint32)~0x0 };
-static const uint32 _sincos_inv_masks[] = { (uint32)~0x0, (uint32)0x0 };
-
-//-----------------------------------------------------------------------------
-// Macros and constants required by some of the SSE assembly:
-//-----------------------------------------------------------------------------
-
-#ifdef _WIN32
- #define _PS_EXTERN_CONST(Name, Val) \
- const __declspec(align(16)) float _ps_##Name[4] = { Val, Val, Val, Val }
-
- #define _PS_EXTERN_CONST_TYPE(Name, Type, Val) \
- const __declspec(align(16)) Type _ps_##Name[4] = { Val, Val, Val, Val }; \
-
- #define _EPI32_CONST(Name, Val) \
- static const __declspec(align(16)) __int32 _epi32_##Name[4] = { Val, Val, Val, Val }
-
- #define _PS_CONST(Name, Val) \
- static const __declspec(align(16)) float _ps_##Name[4] = { Val, Val, Val, Val }
-#elif POSIX
- #define _PS_EXTERN_CONST(Name, Val) \
- const float _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val }
-
- #define _PS_EXTERN_CONST_TYPE(Name, Type, Val) \
- const Type _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val }; \
-
- #define _EPI32_CONST(Name, Val) \
- static const int32 _epi32_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val }
-
- #define _PS_CONST(Name, Val) \
- static const float _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val }
-#endif
-
-_PS_EXTERN_CONST(am_0, 0.0f);
-_PS_EXTERN_CONST(am_1, 1.0f);
-_PS_EXTERN_CONST(am_m1, -1.0f);
-_PS_EXTERN_CONST(am_0p5, 0.5f);
-_PS_EXTERN_CONST(am_1p5, 1.5f);
-_PS_EXTERN_CONST(am_pi, (float)M_PI);
-_PS_EXTERN_CONST(am_pi_o_2, (float)(M_PI / 2.0));
-_PS_EXTERN_CONST(am_2_o_pi, (float)(2.0 / M_PI));
-_PS_EXTERN_CONST(am_pi_o_4, (float)(M_PI / 4.0));
-_PS_EXTERN_CONST(am_4_o_pi, (float)(4.0 / M_PI));
-_PS_EXTERN_CONST_TYPE(am_sign_mask, int32, 0x80000000);
-_PS_EXTERN_CONST_TYPE(am_inv_sign_mask, int32, ~0x80000000);
-_PS_EXTERN_CONST_TYPE(am_min_norm_pos,int32, 0x00800000);
-_PS_EXTERN_CONST_TYPE(am_mant_mask, int32, 0x7f800000);
-_PS_EXTERN_CONST_TYPE(am_inv_mant_mask, int32, ~0x7f800000);
-
-_EPI32_CONST(1, 1);
-_EPI32_CONST(2, 2);
-
-_PS_CONST(sincos_p0, 0.15707963267948963959e1f);
-_PS_CONST(sincos_p1, -0.64596409750621907082e0f);
-_PS_CONST(sincos_p2, 0.7969262624561800806e-1f);
-_PS_CONST(sincos_p3, -0.468175413106023168e-2f);
-
-#ifdef PFN_VECTORMA
-void __cdecl _SSE_VectorMA( const float *start, float scale, const float *direction, float *dest );
-#endif
-
-//-----------------------------------------------------------------------------
-// SSE implementations of optimized routines:
-//-----------------------------------------------------------------------------
-float _SSE_Sqrt(float x)
-{
- Assert( s_bMathlibInitialized );
- float root = 0.f;
-#ifdef _WIN32
- _asm
- {
- sqrtss xmm0, x
- movss root, xmm0
- }
-#elif POSIX
- _mm_store_ss( &root, _mm_sqrt_ss( _mm_load_ss( &x ) ) );
-#endif
- return root;
-}
-
-// Single iteration NewtonRaphson reciprocal square root:
-// 0.5 * rsqrtps * (3 - x * rsqrtps(x) * rsqrtps(x))
-// Very low error, and fine to use in place of 1.f / sqrtf(x).
-#if 0
-float _SSE_RSqrtAccurate(float x)
-{
- Assert( s_bMathlibInitialized );
-
- float rroot;
- _asm
- {
- rsqrtss xmm0, x
- movss rroot, xmm0
- }
-
- return (0.5f * rroot) * (3.f - (x * rroot) * rroot);
-}
-#else
-
-#ifdef POSIX
-const __m128 f3 = _mm_set_ss(3.0f); // 3 as SSE value
-const __m128 f05 = _mm_set_ss(0.5f); // 0.5 as SSE value
-#endif
-
-// Intel / Kipps SSE RSqrt. Significantly faster than above.
-float _SSE_RSqrtAccurate(float a)
-{
-
-#ifdef _WIN32
- float x;
- float half = 0.5f;
- float three = 3.f;
-
- __asm
- {
- movss xmm3, a;
- movss xmm1, half;
- movss xmm2, three;
- rsqrtss xmm0, xmm3;
-
- mulss xmm3, xmm0;
- mulss xmm1, xmm0;
- mulss xmm3, xmm0;
- subss xmm2, xmm3;
- mulss xmm1, xmm2;
-
- movss x, xmm1;
- }
-
- return x;
-#elif POSIX
- __m128 xx = _mm_load_ss( &a );
- __m128 xr = _mm_rsqrt_ss( xx );
- __m128 xt;
-
- xt = _mm_mul_ss( xr, xr );
- xt = _mm_mul_ss( xt, xx );
- xt = _mm_sub_ss( f3, xt );
- xt = _mm_mul_ss( xt, f05 );
- xr = _mm_mul_ss( xr, xt );
-
- _mm_store_ss( &a, xr );
- return a;
-#else
- #error "Not Implemented"
-#endif
-
-}
-#endif
-
-// Simple SSE rsqrt. Usually accurate to around 6 (relative) decimal places
-// or so, so ok for closed transforms. (ie, computing lighting normals)
-float _SSE_RSqrtFast(float x)
-{
- Assert( s_bMathlibInitialized );
-
- float rroot;
-#ifdef _WIN32
- _asm
- {
- rsqrtss xmm0, x
- movss rroot, xmm0
- }
-#elif POSIX
- __asm__ __volatile__( "rsqrtss %0, %1" : "=x" (rroot) : "x" (x) );
-#else
-#error
-#endif
-
- return rroot;
-}
-
-float FASTCALL _SSE_VectorNormalize (Vector& vec)
-{
- Assert( s_bMathlibInitialized );
-
- // NOTE: This is necessary to prevent an memory overwrite...
- // sice vec only has 3 floats, we can't "movaps" directly into it.
-#ifdef _WIN32
- __declspec(align(16)) float result[4];
-#elif POSIX
- float result[4] __attribute__((aligned(16)));
-#endif
-
- float *v = &vec[0];
- float *r = &result[0];
-
- float radius = 0.f;
- // Blah, get rid of these comparisons ... in reality, if you have all 3 as zero, it shouldn't
- // be much of a performance win, considering you will very likely miss 3 branch predicts in a row.
- if ( v[0] || v[1] || v[2] )
- {
-#ifdef _WIN32
- _asm
- {
- mov eax, v
- mov edx, r
-#ifdef ALIGNED_VECTOR
- movaps xmm4, [eax] // r4 = vx, vy, vz, X
- movaps xmm1, xmm4 // r1 = r4
-#else
- movups xmm4, [eax] // r4 = vx, vy, vz, X
- movaps xmm1, xmm4 // r1 = r4
-#endif
- mulps xmm1, xmm4 // r1 = vx * vx, vy * vy, vz * vz, X
- movhlps xmm3, xmm1 // r3 = vz * vz, X, X, X
- movaps xmm2, xmm1 // r2 = r1
- shufps xmm2, xmm2, 1 // r2 = vy * vy, X, X, X
- addss xmm1, xmm2 // r1 = (vx * vx) + (vy * vy), X, X, X
- addss xmm1, xmm3 // r1 = (vx * vx) + (vy * vy) + (vz * vz), X, X, X
- sqrtss xmm1, xmm1 // r1 = sqrt((vx * vx) + (vy * vy) + (vz * vz)), X, X, X
- movss radius, xmm1 // radius = sqrt((vx * vx) + (vy * vy) + (vz * vz))
- rcpss xmm1, xmm1 // r1 = 1/radius, X, X, X
- shufps xmm1, xmm1, 0 // r1 = 1/radius, 1/radius, 1/radius, X
- mulps xmm4, xmm1 // r4 = vx * 1/radius, vy * 1/radius, vz * 1/radius, X
- movaps [edx], xmm4 // v = vx * 1/radius, vy * 1/radius, vz * 1/radius, X
- }
-#elif POSIX
- __asm__ __volatile__(
-#ifdef ALIGNED_VECTOR
- "movaps %2, %%xmm4 \n\t"
- "movaps %%xmm4, %%xmm1 \n\t"
-#else
- "movups %2, %%xmm4 \n\t"
- "movaps %%xmm4, %%xmm1 \n\t"
-#endif
- "mulps %%xmm4, %%xmm1 \n\t"
- "movhlps %%xmm1, %%xmm3 \n\t"
- "movaps %%xmm1, %%xmm2 \n\t"
- "shufps $1, %%xmm2, %%xmm2 \n\t"
- "addss %%xmm2, %%xmm1 \n\t"
- "addss %%xmm3, %%xmm1 \n\t"
- "sqrtss %%xmm1, %%xmm1 \n\t"
- "movss %%xmm1, %0 \n\t"
- "rcpss %%xmm1, %%xmm1 \n\t"
- "shufps $0, %%xmm1, %%xmm1 \n\t"
- "mulps %%xmm1, %%xmm4 \n\t"
- "movaps %%xmm4, %1 \n\t"
- : "=m" (radius), "=m" (result)
- : "m" (*v)
- );
-#else
- #error "Not Implemented"
-#endif
- vec.x = result[0];
- vec.y = result[1];
- vec.z = result[2];
-
- }
-
- return radius;
-}
-
-void FASTCALL _SSE_VectorNormalizeFast (Vector& vec)
-{
- float ool = _SSE_RSqrtAccurate( FLT_EPSILON + vec.x * vec.x + vec.y * vec.y + vec.z * vec.z );
-
- vec.x *= ool;
- vec.y *= ool;
- vec.z *= ool;
-}
-
-float _SSE_InvRSquared(const float* v)
-{
- float inv_r2 = 1.f;
-#ifdef _WIN32
- _asm { // Intel SSE only routine
- mov eax, v
- movss xmm5, inv_r2 // x5 = 1.0, 0, 0, 0
-#ifdef ALIGNED_VECTOR
- movaps xmm4, [eax] // x4 = vx, vy, vz, X
-#else
- movups xmm4, [eax] // x4 = vx, vy, vz, X
-#endif
- movaps xmm1, xmm4 // x1 = x4
- mulps xmm1, xmm4 // x1 = vx * vx, vy * vy, vz * vz, X
- movhlps xmm3, xmm1 // x3 = vz * vz, X, X, X
- movaps xmm2, xmm1 // x2 = x1
- shufps xmm2, xmm2, 1 // x2 = vy * vy, X, X, X
- addss xmm1, xmm2 // x1 = (vx * vx) + (vy * vy), X, X, X
- addss xmm1, xmm3 // x1 = (vx * vx) + (vy * vy) + (vz * vz), X, X, X
- maxss xmm1, xmm5 // x1 = max( 1.0, x1 )
- rcpss xmm0, xmm1 // x0 = 1 / max( 1.0, x1 )
- movss inv_r2, xmm0 // inv_r2 = x0
- }
-#elif POSIX
- __asm__ __volatile__(
- "movss %0, %%xmm5 \n\t"
-#ifdef ALIGNED_VECTOR
- "movaps %1, %%xmm4 \n\t"
-#else
- "movups %1, %%xmm4 \n\t"
-#endif
- "movaps %%xmm4, %%xmm1 \n\t"
- "mulps %%xmm4, %%xmm1 \n\t"
- "movhlps %%xmm1, %%xmm3 \n\t"
- "movaps %%xmm1, %%xmm2 \n\t"
- "shufps $1, %%xmm2, %%xmm2 \n\t"
- "addss %%xmm2, %%xmm1 \n\t"
- "addss %%xmm3, %%xmm1 \n\t"
- "maxss %%xmm5, %%xmm1 \n\t"
- "rcpss %%xmm1, %%xmm0 \n\t"
- "movss %%xmm0, %0 \n\t"
- : "=m" (inv_r2)
- : "m" (*v), "0" (inv_r2)
- );
-#else
- #error "Not Implemented"
-#endif
-
- return inv_r2;
-}
-
-
-#ifdef POSIX
-// #define _PS_CONST(Name, Val) static const ALIGN16 float _ps_##Name[4] ALIGN16_POST = { Val, Val, Val, Val }
-#define _PS_CONST_TYPE(Name, Type, Val) static const ALIGN16 Type _ps_##Name[4] ALIGN16_POST = { Val, Val, Val, Val }
-
-_PS_CONST_TYPE(sign_mask, int, 0x80000000);
-_PS_CONST_TYPE(inv_sign_mask, int, ~0x80000000);
-
-
-#define _PI32_CONST(Name, Val) static const ALIGN16 int _pi32_##Name[4] ALIGN16_POST = { Val, Val, Val, Val }
-
-_PI32_CONST(1, 1);
-_PI32_CONST(inv1, ~1);
-_PI32_CONST(2, 2);
-_PI32_CONST(4, 4);
-_PI32_CONST(0x7f, 0x7f);
-_PS_CONST(1 , 1.0f);
-_PS_CONST(0p5, 0.5f);
-
-_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
-
-typedef union xmm_mm_union {
- __m128 xmm;
- __m64 mm[2];
-} xmm_mm_union;
-
-#define COPY_MM_TO_XMM(mm0_, mm1_, xmm_) { xmm_mm_union u; u.mm[0]=mm0_; u.mm[1]=mm1_; xmm_ = u.xmm; }
-
-typedef __m128 v4sf; // vector of 4 float (sse1)
-typedef __m64 v2si; // vector of 2 int (mmx)
-
-#endif
-
-void _SSE_SinCos(float x, float* s, float* c)
-{
-#ifdef _WIN32
- float t4, t8, t12;
-
- __asm
- {
- movss xmm0, x
- movss t12, xmm0
- movss xmm1, _ps_am_inv_sign_mask
- mov eax, t12
- mulss xmm0, _ps_am_2_o_pi
- andps xmm0, xmm1
- and eax, 0x80000000
-
- cvttss2si edx, xmm0
- mov ecx, edx
- mov t12, esi
- mov esi, edx
- add edx, 0x1
- shl ecx, (31 - 1)
- shl edx, (31 - 1)
-
- movss xmm4, _ps_am_1
- cvtsi2ss xmm3, esi
- mov t8, eax
- and esi, 0x1
-
- subss xmm0, xmm3
- movss xmm3, _sincos_inv_masks[esi * 4]
- minss xmm0, xmm4
-
- subss xmm4, xmm0
-
- movss xmm6, xmm4
- andps xmm4, xmm3
- and ecx, 0x80000000
- movss xmm2, xmm3
- andnps xmm3, xmm0
- and edx, 0x80000000
- movss xmm7, t8
- andps xmm0, xmm2
- mov t8, ecx
- mov t4, edx
- orps xmm4, xmm3
-
- mov eax, s //mov eax, [esp + 4 + 16]
- mov edx, c //mov edx, [esp + 4 + 16 + 4]
-
- andnps xmm2, xmm6
- orps xmm0, xmm2
-
- movss xmm2, t8
- movss xmm1, xmm0
- movss xmm5, xmm4
- xorps xmm7, xmm2
- movss xmm3, _ps_sincos_p3
- mulss xmm0, xmm0
- mulss xmm4, xmm4
- movss xmm2, xmm0
- movss xmm6, xmm4
- orps xmm1, xmm7
- movss xmm7, _ps_sincos_p2
- mulss xmm0, xmm3
- mulss xmm4, xmm3
- movss xmm3, _ps_sincos_p1
- addss xmm0, xmm7
- addss xmm4, xmm7
- movss xmm7, _ps_sincos_p0
- mulss xmm0, xmm2
- mulss xmm4, xmm6
- addss xmm0, xmm3
- addss xmm4, xmm3
- movss xmm3, t4
- mulss xmm0, xmm2
- mulss xmm4, xmm6
- orps xmm5, xmm3
- mov esi, t12
- addss xmm0, xmm7
- addss xmm4, xmm7
- mulss xmm0, xmm1
- mulss xmm4, xmm5
-
- // use full stores since caller might reload with full loads
- movss [eax], xmm0
- movss [edx], xmm4
- }
-#elif POSIX
-
- Assert( "Needs testing, verify impl!\n" );
-
- v4sf xx = _mm_load_ss( &x );
-
- v4sf xmm1, xmm2, xmm3 = _mm_setzero_ps(), sign_bit_sin, y;
- v2si mm0, mm1, mm2, mm3, mm4, mm5;
- sign_bit_sin = xx;
- /* take the absolute value */
- xx = _mm_and_ps(xx, *(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(xx, *(v4sf*)_ps_cephes_FOPI);
-
- /* 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);
- v4sf swap_sign_bit_sin;
- 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());
- v4sf poly_mask;
- COPY_MM_TO_XMM(mm2, mm3, poly_mask);
-
- /* 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);
- xx = _mm_add_ps(xx, xmm1);
- xx = _mm_add_ps(xx, xmm2);
- xx = _mm_add_ps(xx, xmm3);
-
- /* 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);
- v4sf sign_bit_cos;
- COPY_MM_TO_XMM(mm4, mm5, sign_bit_cos);
- _mm_empty(); /* good-bye mmx */
-
- sign_bit_sin = _mm_xor_ps(sign_bit_sin, swap_sign_bit_sin);
-
-
- /* Evaluate the first polynom (0 <= x <= Pi/4) */
- v4sf z = _mm_mul_ps(xx,xx);
- 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);
- v4sf 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) */
-
- v4sf 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, xx);
- y2 = _mm_add_ps(y2, xx);
-
- /* select the correct result from the two polynoms */
- xmm3 = poly_mask;
- v4sf ysin2 = _mm_and_ps(xmm3, y2);
- v4sf 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 */
- _mm_store_ss( s, _mm_xor_ps(xmm1, sign_bit_sin) );
- _mm_store_ss( c, _mm_xor_ps(xmm2, sign_bit_cos) );
-
-#else
- #error "Not Implemented"
-#endif
-}
-
-float _SSE_cos( float x )
-{
-#ifdef _WIN32
- float temp;
- __asm
- {
- movss xmm0, x
- movss xmm1, _ps_am_inv_sign_mask
- andps xmm0, xmm1
- addss xmm0, _ps_am_pi_o_2
- mulss xmm0, _ps_am_2_o_pi
-
- cvttss2si ecx, xmm0
- movss xmm5, _ps_am_1
- mov edx, ecx
- shl edx, (31 - 1)
- cvtsi2ss xmm1, ecx
- and edx, 0x80000000
- and ecx, 0x1
-
- subss xmm0, xmm1
- movss xmm6, _sincos_masks[ecx * 4]
- minss xmm0, xmm5
-
- movss xmm1, _ps_sincos_p3
- subss xmm5, xmm0
-
- andps xmm5, xmm6
- movss xmm7, _ps_sincos_p2
- andnps xmm6, xmm0
- mov temp, edx
- orps xmm5, xmm6
- movss xmm0, xmm5
-
- mulss xmm5, xmm5
- movss xmm4, _ps_sincos_p1
- movss xmm2, xmm5
- mulss xmm5, xmm1
- movss xmm1, _ps_sincos_p0
- addss xmm5, xmm7
- mulss xmm5, xmm2
- movss xmm3, temp
- addss xmm5, xmm4
- mulss xmm5, xmm2
- orps xmm0, xmm3
- addss xmm5, xmm1
- mulss xmm0, xmm5
-
- movss x, xmm0
-
- }
-#elif POSIX
-
- Assert( "Needs testing, verify impl!\n" );
-
- v4sf xmm1, xmm2 = _mm_setzero_ps(), xmm3, y;
- v2si mm0, mm1, mm2, mm3;
- /* take the absolute value */
- v4sf xx = _mm_load_ss( &x );
-
- xx = _mm_and_ps(xx, *(v4sf*)_ps_inv_sign_mask);
-
- /* scale by 4/Pi */
- y = _mm_mul_ps(xx, *(v4sf*)_ps_cephes_FOPI);
-
- /* 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());
-
- v4sf sign_bit, poly_mask;
- COPY_MM_TO_XMM(mm0, mm1, sign_bit);
- COPY_MM_TO_XMM(mm2, mm3, poly_mask);
- _mm_empty(); /* good-bye mmx */
-
- /* 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);
- xx = _mm_add_ps(xx, xmm1);
- xx = _mm_add_ps(xx, xmm2);
- xx = _mm_add_ps(xx, xmm3);
-
- /* Evaluate the first polynom (0 <= x <= Pi/4) */
- y = *(v4sf*)_ps_coscof_p0;
- v4sf z = _mm_mul_ps(xx,xx);
-
- 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);
- v4sf 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) */
-
- v4sf 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, xx);
- y2 = _mm_add_ps(y2, xx);
-
- /* 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 */
-
- _mm_store_ss( &x, _mm_xor_ps(y, sign_bit) );
-
-#else
- #error "Not Implemented"
-#endif
-
- return x;
-}
-
-//-----------------------------------------------------------------------------
-// SSE2 implementations of optimized routines:
-//-----------------------------------------------------------------------------
-void _SSE2_SinCos(float x, float* s, float* c) // any x
-{
-#ifdef _WIN32
- __asm
- {
- movss xmm0, x
- movaps xmm7, xmm0
- movss xmm1, _ps_am_inv_sign_mask
- movss xmm2, _ps_am_sign_mask
- movss xmm3, _ps_am_2_o_pi
- andps xmm0, xmm1
- andps xmm7, xmm2
- mulss xmm0, xmm3
-
- pxor xmm3, xmm3
- movd xmm5, _epi32_1
- movss xmm4, _ps_am_1
-
- cvttps2dq xmm2, xmm0
- pand xmm5, xmm2
- movd xmm1, _epi32_2
- pcmpeqd xmm5, xmm3
- movd xmm3, _epi32_1
- cvtdq2ps xmm6, xmm2
- paddd xmm3, xmm2
- pand xmm2, xmm1
- pand xmm3, xmm1
- subss xmm0, xmm6
- pslld xmm2, (31 - 1)
- minss xmm0, xmm4
-
- mov eax, s // mov eax, [esp + 4 + 16]
- mov edx, c // mov edx, [esp + 4 + 16 + 4]
-
- subss xmm4, xmm0
- pslld xmm3, (31 - 1)
-
- movaps xmm6, xmm4
- xorps xmm2, xmm7
- movaps xmm7, xmm5
- andps xmm6, xmm7
- andnps xmm7, xmm0
- andps xmm0, xmm5
- andnps xmm5, xmm4
- movss xmm4, _ps_sincos_p3
- orps xmm6, xmm7
- orps xmm0, xmm5
- movss xmm5, _ps_sincos_p2
-
- movaps xmm1, xmm0
- movaps xmm7, xmm6
- mulss xmm0, xmm0
- mulss xmm6, xmm6
- orps xmm1, xmm2
- orps xmm7, xmm3
- movaps xmm2, xmm0
- movaps xmm3, xmm6
- mulss xmm0, xmm4
- mulss xmm6, xmm4
- movss xmm4, _ps_sincos_p1
- addss xmm0, xmm5
- addss xmm6, xmm5
- movss xmm5, _ps_sincos_p0
- mulss xmm0, xmm2
- mulss xmm6, xmm3
- addss xmm0, xmm4
- addss xmm6, xmm4
- mulss xmm0, xmm2
- mulss xmm6, xmm3
- addss xmm0, xmm5
- addss xmm6, xmm5
- mulss xmm0, xmm1
- mulss xmm6, xmm7
-
- // use full stores since caller might reload with full loads
- movss [eax], xmm0
- movss [edx], xmm6
- }
-#elif POSIX
- #warning "_SSE2_SinCos NOT implemented!"
- Assert( 0 );
-#else
- #error "Not Implemented"
-#endif
-}
-
-float _SSE2_cos(float x)
-{
-#ifdef _WIN32
- __asm
- {
- movss xmm0, x
- movss xmm1, _ps_am_inv_sign_mask
- movss xmm2, _ps_am_pi_o_2
- movss xmm3, _ps_am_2_o_pi
- andps xmm0, xmm1
- addss xmm0, xmm2
- mulss xmm0, xmm3
-
- pxor xmm3, xmm3
- movd xmm5, _epi32_1
- movss xmm4, _ps_am_1
- cvttps2dq xmm2, xmm0
- pand xmm5, xmm2
- movd xmm1, _epi32_2
- pcmpeqd xmm5, xmm3
- cvtdq2ps xmm6, xmm2
- pand xmm2, xmm1
- pslld xmm2, (31 - 1)
-
- subss xmm0, xmm6
- movss xmm3, _ps_sincos_p3
- minss xmm0, xmm4
- subss xmm4, xmm0
- andps xmm0, xmm5
- andnps xmm5, xmm4
- orps xmm0, xmm5
-
- movaps xmm1, xmm0
- movss xmm4, _ps_sincos_p2
- mulss xmm0, xmm0
- movss xmm5, _ps_sincos_p1
- orps xmm1, xmm2
- movaps xmm7, xmm0
- mulss xmm0, xmm3
- movss xmm6, _ps_sincos_p0
- addss xmm0, xmm4
- mulss xmm0, xmm7
- addss xmm0, xmm5
- mulss xmm0, xmm7
- addss xmm0, xmm6
- mulss xmm0, xmm1
- movss x, xmm0
- }
-#elif POSIX
- #warning "_SSE2_cos NOT implemented!"
- Assert( 0 );
-#else
- #error "Not Implemented"
-#endif
-
- return x;
-}
-
-// SSE Version of VectorTransform
-void VectorTransformSSE(const float *in1, const matrix3x4_t& in2, float *out1)
-{
- Assert( s_bMathlibInitialized );
- Assert( in1 != out1 );
-
-#ifdef _WIN32
- __asm
- {
- mov eax, in1;
- mov ecx, in2;
- mov edx, out1;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- addss xmm0, [ecx+12]
- movss [edx], xmm0;
- add ecx, 16;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- addss xmm0, [ecx+12]
- movss [edx+4], xmm0;
- add ecx, 16;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- addss xmm0, [ecx+12]
- movss [edx+8], xmm0;
- }
-#elif POSIX
- #warning "VectorTransformSSE C implementation only"
- out1[0] = DotProduct(in1, in2[0]) + in2[0][3];
- out1[1] = DotProduct(in1, in2[1]) + in2[1][3];
- out1[2] = DotProduct(in1, in2[2]) + in2[2][3];
-#else
- #error "Not Implemented"
-#endif
-}
-
-void VectorRotateSSE( const float *in1, const matrix3x4_t& in2, float *out1 )
-{
- Assert( s_bMathlibInitialized );
- Assert( in1 != out1 );
-
-#ifdef _WIN32
- __asm
- {
- mov eax, in1;
- mov ecx, in2;
- mov edx, out1;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- movss [edx], xmm0;
- add ecx, 16;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- movss [edx+4], xmm0;
- add ecx, 16;
-
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- movss [edx+8], xmm0;
- }
-#elif POSIX
- #warning "VectorRotateSSE C implementation only"
- out1[0] = DotProduct( in1, in2[0] );
- out1[1] = DotProduct( in1, in2[1] );
- out1[2] = DotProduct( in1, in2[2] );
-#else
- #error "Not Implemented"
-#endif
-}
-
-#ifdef _WIN32
-void _declspec(naked) _SSE_VectorMA( const float *start, float scale, const float *direction, float *dest )
-{
- // FIXME: This don't work!! It will overwrite memory in the write to dest
- Assert(0);
-
- Assert( s_bMathlibInitialized );
- _asm { // Intel SSE only routine
- mov eax, DWORD PTR [esp+0x04] ; *start, s0..s2
- mov ecx, DWORD PTR [esp+0x0c] ; *direction, d0..d2
- mov edx, DWORD PTR [esp+0x10] ; *dest
- movss xmm2, [esp+0x08] ; x2 = scale, 0, 0, 0
-#ifdef ALIGNED_VECTOR
- movaps xmm3, [ecx] ; x3 = dir0,dir1,dir2,X
- pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale
- movaps xmm1, [eax] ; x1 = start1, start2, start3, X
- mulps xmm3, xmm2 ; x3 *= x2
- addps xmm3, xmm1 ; x3 += x1
- movaps [edx], xmm3 ; *dest = x3
-#else
- movups xmm3, [ecx] ; x3 = dir0,dir1,dir2,X
- pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale
- movups xmm1, [eax] ; x1 = start1, start2, start3, X
- mulps xmm3, xmm2 ; x3 *= x2
- addps xmm3, xmm1 ; x3 += x1
- movups [edx], xmm3 ; *dest = x3
-#endif
- }
-}
-#endif
-
-#ifdef _WIN32
-#ifdef PFN_VECTORMA
-void _declspec(naked) __cdecl _SSE_VectorMA( const Vector &start, float scale, const Vector &direction, Vector &dest )
-{
- // FIXME: This don't work!! It will overwrite memory in the write to dest
- Assert(0);
-
- Assert( s_bMathlibInitialized );
- _asm
- {
- // Intel SSE only routine
- mov eax, DWORD PTR [esp+0x04] ; *start, s0..s2
- mov ecx, DWORD PTR [esp+0x0c] ; *direction, d0..d2
- mov edx, DWORD PTR [esp+0x10] ; *dest
- movss xmm2, [esp+0x08] ; x2 = scale, 0, 0, 0
-#ifdef ALIGNED_VECTOR
- movaps xmm3, [ecx] ; x3 = dir0,dir1,dir2,X
- pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale
- movaps xmm1, [eax] ; x1 = start1, start2, start3, X
- mulps xmm3, xmm2 ; x3 *= x2
- addps xmm3, xmm1 ; x3 += x1
- movaps [edx], xmm3 ; *dest = x3
-#else
- movups xmm3, [ecx] ; x3 = dir0,dir1,dir2,X
- pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale
- movups xmm1, [eax] ; x1 = start1, start2, start3, X
- mulps xmm3, xmm2 ; x3 *= x2
- addps xmm3, xmm1 ; x3 += x1
- movups [edx], xmm3 ; *dest = x3
-#endif
- }
-}
-float (__cdecl *pfVectorMA)(Vector& v) = _VectorMA;
-#endif
-#endif
-
-
-// SSE DotProduct -- it's a smidgen faster than the asm DotProduct...
-// Should be validated too! :)
-// NJS: (Nov 1 2002) -NOT- faster. may time a couple cycles faster in a single function like
-// this, but when inlined, and instruction scheduled, the C version is faster.
-// Verified this via VTune
-/*
-vec_t DotProduct (const vec_t *a, const vec_t *c)
-{
- vec_t temp;
-
- __asm
- {
- mov eax, a;
- mov ecx, c;
- mov edx, DWORD PTR [temp]
- movss xmm0, [eax];
- mulss xmm0, [ecx];
- movss xmm1, [eax+4];
- mulss xmm1, [ecx+4];
- movss xmm2, [eax+8];
- mulss xmm2, [ecx+8];
- addss xmm0, xmm1;
- addss xmm0, xmm2;
- movss [edx], xmm0;
- fld DWORD PTR [edx];
- ret
- }
-}
-*/
-
-#endif // COMPILER_MSVC64
+//========= Copyright Valve Corporation, All rights reserved. ============// +// +// Purpose: SSE Math primitives. +// +//=====================================================================================// + +#include <math.h> +#include <float.h> // Needed for FLT_EPSILON +#include "basetypes.h" +#include <memory.h> +#include "tier0/dbg.h" +#include "mathlib/mathlib.h" +#include "mathlib/vector.h" +#include "sse.h" + +// memdbgon must be the last include file in a .cpp file!!! +#include "tier0/memdbgon.h" + +#ifndef COMPILER_MSVC64 +// Implement for 64-bit Windows if needed. + +static const uint32 _sincos_masks[] = { (uint32)0x0, (uint32)~0x0 }; +static const uint32 _sincos_inv_masks[] = { (uint32)~0x0, (uint32)0x0 }; + +//----------------------------------------------------------------------------- +// Macros and constants required by some of the SSE assembly: +//----------------------------------------------------------------------------- + +#ifdef _WIN32 + #define _PS_EXTERN_CONST(Name, Val) \ + const __declspec(align(16)) float _ps_##Name[4] = { Val, Val, Val, Val } + + #define _PS_EXTERN_CONST_TYPE(Name, Type, Val) \ + const __declspec(align(16)) Type _ps_##Name[4] = { Val, Val, Val, Val }; \ + + #define _EPI32_CONST(Name, Val) \ + static const __declspec(align(16)) __int32 _epi32_##Name[4] = { Val, Val, Val, Val } + + #define _PS_CONST(Name, Val) \ + static const __declspec(align(16)) float _ps_##Name[4] = { Val, Val, Val, Val } +#elif POSIX + #define _PS_EXTERN_CONST(Name, Val) \ + const float _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val } + + #define _PS_EXTERN_CONST_TYPE(Name, Type, Val) \ + const Type _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val }; \ + + #define _EPI32_CONST(Name, Val) \ + static const int32 _epi32_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val } + + #define _PS_CONST(Name, Val) \ + static const float _ps_##Name[4] __attribute__((aligned(16))) = { Val, Val, Val, Val } +#endif + +_PS_EXTERN_CONST(am_0, 0.0f); +_PS_EXTERN_CONST(am_1, 1.0f); +_PS_EXTERN_CONST(am_m1, -1.0f); +_PS_EXTERN_CONST(am_0p5, 0.5f); +_PS_EXTERN_CONST(am_1p5, 1.5f); +_PS_EXTERN_CONST(am_pi, (float)M_PI); +_PS_EXTERN_CONST(am_pi_o_2, (float)(M_PI / 2.0)); +_PS_EXTERN_CONST(am_2_o_pi, (float)(2.0 / M_PI)); +_PS_EXTERN_CONST(am_pi_o_4, (float)(M_PI / 4.0)); +_PS_EXTERN_CONST(am_4_o_pi, (float)(4.0 / M_PI)); +_PS_EXTERN_CONST_TYPE(am_sign_mask, int32, 0x80000000); +_PS_EXTERN_CONST_TYPE(am_inv_sign_mask, int32, ~0x80000000); +_PS_EXTERN_CONST_TYPE(am_min_norm_pos,int32, 0x00800000); +_PS_EXTERN_CONST_TYPE(am_mant_mask, int32, 0x7f800000); +_PS_EXTERN_CONST_TYPE(am_inv_mant_mask, int32, ~0x7f800000); + +_EPI32_CONST(1, 1); +_EPI32_CONST(2, 2); + +_PS_CONST(sincos_p0, 0.15707963267948963959e1f); +_PS_CONST(sincos_p1, -0.64596409750621907082e0f); +_PS_CONST(sincos_p2, 0.7969262624561800806e-1f); +_PS_CONST(sincos_p3, -0.468175413106023168e-2f); + +#ifdef PFN_VECTORMA +void __cdecl _SSE_VectorMA( const float *start, float scale, const float *direction, float *dest ); +#endif + +//----------------------------------------------------------------------------- +// SSE implementations of optimized routines: +//----------------------------------------------------------------------------- +float _SSE_Sqrt(float x) +{ + Assert( s_bMathlibInitialized ); + float root = 0.f; +#ifdef _WIN32 + _asm + { + sqrtss xmm0, x + movss root, xmm0 + } +#elif POSIX + _mm_store_ss( &root, _mm_sqrt_ss( _mm_load_ss( &x ) ) ); +#endif + return root; +} + +// Single iteration NewtonRaphson reciprocal square root: +// 0.5 * rsqrtps * (3 - x * rsqrtps(x) * rsqrtps(x)) +// Very low error, and fine to use in place of 1.f / sqrtf(x). +#if 0 +float _SSE_RSqrtAccurate(float x) +{ + Assert( s_bMathlibInitialized ); + + float rroot; + _asm + { + rsqrtss xmm0, x + movss rroot, xmm0 + } + + return (0.5f * rroot) * (3.f - (x * rroot) * rroot); +} +#else + +#ifdef POSIX +const __m128 f3 = _mm_set_ss(3.0f); // 3 as SSE value +const __m128 f05 = _mm_set_ss(0.5f); // 0.5 as SSE value +#endif + +// Intel / Kipps SSE RSqrt. Significantly faster than above. +float _SSE_RSqrtAccurate(float a) +{ + +#ifdef _WIN32 + float x; + float half = 0.5f; + float three = 3.f; + + __asm + { + movss xmm3, a; + movss xmm1, half; + movss xmm2, three; + rsqrtss xmm0, xmm3; + + mulss xmm3, xmm0; + mulss xmm1, xmm0; + mulss xmm3, xmm0; + subss xmm2, xmm3; + mulss xmm1, xmm2; + + movss x, xmm1; + } + + return x; +#elif POSIX + __m128 xx = _mm_load_ss( &a ); + __m128 xr = _mm_rsqrt_ss( xx ); + __m128 xt; + + xt = _mm_mul_ss( xr, xr ); + xt = _mm_mul_ss( xt, xx ); + xt = _mm_sub_ss( f3, xt ); + xt = _mm_mul_ss( xt, f05 ); + xr = _mm_mul_ss( xr, xt ); + + _mm_store_ss( &a, xr ); + return a; +#else + #error "Not Implemented" +#endif + +} +#endif + +// Simple SSE rsqrt. Usually accurate to around 6 (relative) decimal places +// or so, so ok for closed transforms. (ie, computing lighting normals) +float _SSE_RSqrtFast(float x) +{ + Assert( s_bMathlibInitialized ); + + float rroot; +#ifdef _WIN32 + _asm + { + rsqrtss xmm0, x + movss rroot, xmm0 + } +#elif POSIX + __asm__ __volatile__( "rsqrtss %0, %1" : "=x" (rroot) : "x" (x) ); +#else +#error +#endif + + return rroot; +} + +float FASTCALL _SSE_VectorNormalize (Vector& vec) +{ + Assert( s_bMathlibInitialized ); + + // NOTE: This is necessary to prevent an memory overwrite... + // sice vec only has 3 floats, we can't "movaps" directly into it. +#ifdef _WIN32 + __declspec(align(16)) float result[4]; +#elif POSIX + float result[4] __attribute__((aligned(16))); +#endif + + float *v = &vec[0]; + float *r = &result[0]; + + float radius = 0.f; + // Blah, get rid of these comparisons ... in reality, if you have all 3 as zero, it shouldn't + // be much of a performance win, considering you will very likely miss 3 branch predicts in a row. + if ( v[0] || v[1] || v[2] ) + { +#ifdef _WIN32 + _asm + { + mov eax, v + mov edx, r +#ifdef ALIGNED_VECTOR + movaps xmm4, [eax] // r4 = vx, vy, vz, X + movaps xmm1, xmm4 // r1 = r4 +#else + movups xmm4, [eax] // r4 = vx, vy, vz, X + movaps xmm1, xmm4 // r1 = r4 +#endif + mulps xmm1, xmm4 // r1 = vx * vx, vy * vy, vz * vz, X + movhlps xmm3, xmm1 // r3 = vz * vz, X, X, X + movaps xmm2, xmm1 // r2 = r1 + shufps xmm2, xmm2, 1 // r2 = vy * vy, X, X, X + addss xmm1, xmm2 // r1 = (vx * vx) + (vy * vy), X, X, X + addss xmm1, xmm3 // r1 = (vx * vx) + (vy * vy) + (vz * vz), X, X, X + sqrtss xmm1, xmm1 // r1 = sqrt((vx * vx) + (vy * vy) + (vz * vz)), X, X, X + movss radius, xmm1 // radius = sqrt((vx * vx) + (vy * vy) + (vz * vz)) + rcpss xmm1, xmm1 // r1 = 1/radius, X, X, X + shufps xmm1, xmm1, 0 // r1 = 1/radius, 1/radius, 1/radius, X + mulps xmm4, xmm1 // r4 = vx * 1/radius, vy * 1/radius, vz * 1/radius, X + movaps [edx], xmm4 // v = vx * 1/radius, vy * 1/radius, vz * 1/radius, X + } +#elif POSIX + __asm__ __volatile__( +#ifdef ALIGNED_VECTOR + "movaps %2, %%xmm4 \n\t" + "movaps %%xmm4, %%xmm1 \n\t" +#else + "movups %2, %%xmm4 \n\t" + "movaps %%xmm4, %%xmm1 \n\t" +#endif + "mulps %%xmm4, %%xmm1 \n\t" + "movhlps %%xmm1, %%xmm3 \n\t" + "movaps %%xmm1, %%xmm2 \n\t" + "shufps $1, %%xmm2, %%xmm2 \n\t" + "addss %%xmm2, %%xmm1 \n\t" + "addss %%xmm3, %%xmm1 \n\t" + "sqrtss %%xmm1, %%xmm1 \n\t" + "movss %%xmm1, %0 \n\t" + "rcpss %%xmm1, %%xmm1 \n\t" + "shufps $0, %%xmm1, %%xmm1 \n\t" + "mulps %%xmm1, %%xmm4 \n\t" + "movaps %%xmm4, %1 \n\t" + : "=m" (radius), "=m" (result) + : "m" (*v) + ); +#else + #error "Not Implemented" +#endif + vec.x = result[0]; + vec.y = result[1]; + vec.z = result[2]; + + } + + return radius; +} + +void FASTCALL _SSE_VectorNormalizeFast (Vector& vec) +{ + float ool = _SSE_RSqrtAccurate( FLT_EPSILON + vec.x * vec.x + vec.y * vec.y + vec.z * vec.z ); + + vec.x *= ool; + vec.y *= ool; + vec.z *= ool; +} + +float _SSE_InvRSquared(const float* v) +{ + float inv_r2 = 1.f; +#ifdef _WIN32 + _asm { // Intel SSE only routine + mov eax, v + movss xmm5, inv_r2 // x5 = 1.0, 0, 0, 0 +#ifdef ALIGNED_VECTOR + movaps xmm4, [eax] // x4 = vx, vy, vz, X +#else + movups xmm4, [eax] // x4 = vx, vy, vz, X +#endif + movaps xmm1, xmm4 // x1 = x4 + mulps xmm1, xmm4 // x1 = vx * vx, vy * vy, vz * vz, X + movhlps xmm3, xmm1 // x3 = vz * vz, X, X, X + movaps xmm2, xmm1 // x2 = x1 + shufps xmm2, xmm2, 1 // x2 = vy * vy, X, X, X + addss xmm1, xmm2 // x1 = (vx * vx) + (vy * vy), X, X, X + addss xmm1, xmm3 // x1 = (vx * vx) + (vy * vy) + (vz * vz), X, X, X + maxss xmm1, xmm5 // x1 = max( 1.0, x1 ) + rcpss xmm0, xmm1 // x0 = 1 / max( 1.0, x1 ) + movss inv_r2, xmm0 // inv_r2 = x0 + } +#elif POSIX + __asm__ __volatile__( + "movss %0, %%xmm5 \n\t" +#ifdef ALIGNED_VECTOR + "movaps %1, %%xmm4 \n\t" +#else + "movups %1, %%xmm4 \n\t" +#endif + "movaps %%xmm4, %%xmm1 \n\t" + "mulps %%xmm4, %%xmm1 \n\t" + "movhlps %%xmm1, %%xmm3 \n\t" + "movaps %%xmm1, %%xmm2 \n\t" + "shufps $1, %%xmm2, %%xmm2 \n\t" + "addss %%xmm2, %%xmm1 \n\t" + "addss %%xmm3, %%xmm1 \n\t" + "maxss %%xmm5, %%xmm1 \n\t" + "rcpss %%xmm1, %%xmm0 \n\t" + "movss %%xmm0, %0 \n\t" + : "=m" (inv_r2) + : "m" (*v), "0" (inv_r2) + ); +#else + #error "Not Implemented" +#endif + + return inv_r2; +} + + +#ifdef POSIX +// #define _PS_CONST(Name, Val) static const ALIGN16 float _ps_##Name[4] ALIGN16_POST = { Val, Val, Val, Val } +#define _PS_CONST_TYPE(Name, Type, Val) static const ALIGN16 Type _ps_##Name[4] ALIGN16_POST = { Val, Val, Val, Val } + +_PS_CONST_TYPE(sign_mask, int, 0x80000000); +_PS_CONST_TYPE(inv_sign_mask, int, ~0x80000000); + + +#define _PI32_CONST(Name, Val) static const ALIGN16 int _pi32_##Name[4] ALIGN16_POST = { Val, Val, Val, Val } + +_PI32_CONST(1, 1); +_PI32_CONST(inv1, ~1); +_PI32_CONST(2, 2); +_PI32_CONST(4, 4); +_PI32_CONST(0x7f, 0x7f); +_PS_CONST(1 , 1.0f); +_PS_CONST(0p5, 0.5f); + +_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 + +typedef union xmm_mm_union { + __m128 xmm; + __m64 mm[2]; +} xmm_mm_union; + +#define COPY_MM_TO_XMM(mm0_, mm1_, xmm_) { xmm_mm_union u; u.mm[0]=mm0_; u.mm[1]=mm1_; xmm_ = u.xmm; } + +typedef __m128 v4sf; // vector of 4 float (sse1) +typedef __m64 v2si; // vector of 2 int (mmx) + +#endif + +void _SSE_SinCos(float x, float* s, float* c) +{ +#ifdef _WIN32 + float t4, t8, t12; + + __asm + { + movss xmm0, x + movss t12, xmm0 + movss xmm1, _ps_am_inv_sign_mask + mov eax, t12 + mulss xmm0, _ps_am_2_o_pi + andps xmm0, xmm1 + and eax, 0x80000000 + + cvttss2si edx, xmm0 + mov ecx, edx + mov t12, esi + mov esi, edx + add edx, 0x1 + shl ecx, (31 - 1) + shl edx, (31 - 1) + + movss xmm4, _ps_am_1 + cvtsi2ss xmm3, esi + mov t8, eax + and esi, 0x1 + + subss xmm0, xmm3 + movss xmm3, _sincos_inv_masks[esi * 4] + minss xmm0, xmm4 + + subss xmm4, xmm0 + + movss xmm6, xmm4 + andps xmm4, xmm3 + and ecx, 0x80000000 + movss xmm2, xmm3 + andnps xmm3, xmm0 + and edx, 0x80000000 + movss xmm7, t8 + andps xmm0, xmm2 + mov t8, ecx + mov t4, edx + orps xmm4, xmm3 + + mov eax, s //mov eax, [esp + 4 + 16] + mov edx, c //mov edx, [esp + 4 + 16 + 4] + + andnps xmm2, xmm6 + orps xmm0, xmm2 + + movss xmm2, t8 + movss xmm1, xmm0 + movss xmm5, xmm4 + xorps xmm7, xmm2 + movss xmm3, _ps_sincos_p3 + mulss xmm0, xmm0 + mulss xmm4, xmm4 + movss xmm2, xmm0 + movss xmm6, xmm4 + orps xmm1, xmm7 + movss xmm7, _ps_sincos_p2 + mulss xmm0, xmm3 + mulss xmm4, xmm3 + movss xmm3, _ps_sincos_p1 + addss xmm0, xmm7 + addss xmm4, xmm7 + movss xmm7, _ps_sincos_p0 + mulss xmm0, xmm2 + mulss xmm4, xmm6 + addss xmm0, xmm3 + addss xmm4, xmm3 + movss xmm3, t4 + mulss xmm0, xmm2 + mulss xmm4, xmm6 + orps xmm5, xmm3 + mov esi, t12 + addss xmm0, xmm7 + addss xmm4, xmm7 + mulss xmm0, xmm1 + mulss xmm4, xmm5 + + // use full stores since caller might reload with full loads + movss [eax], xmm0 + movss [edx], xmm4 + } +#elif POSIX + + Assert( "Needs testing, verify impl!\n" ); + + v4sf xx = _mm_load_ss( &x ); + + v4sf xmm1, xmm2, xmm3 = _mm_setzero_ps(), sign_bit_sin, y; + v2si mm0, mm1, mm2, mm3, mm4, mm5; + sign_bit_sin = xx; + /* take the absolute value */ + xx = _mm_and_ps(xx, *(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(xx, *(v4sf*)_ps_cephes_FOPI); + + /* 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); + v4sf swap_sign_bit_sin; + 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()); + v4sf poly_mask; + COPY_MM_TO_XMM(mm2, mm3, poly_mask); + + /* 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); + xx = _mm_add_ps(xx, xmm1); + xx = _mm_add_ps(xx, xmm2); + xx = _mm_add_ps(xx, xmm3); + + /* 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); + v4sf sign_bit_cos; + COPY_MM_TO_XMM(mm4, mm5, sign_bit_cos); + _mm_empty(); /* good-bye mmx */ + + sign_bit_sin = _mm_xor_ps(sign_bit_sin, swap_sign_bit_sin); + + + /* Evaluate the first polynom (0 <= x <= Pi/4) */ + v4sf z = _mm_mul_ps(xx,xx); + 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); + v4sf 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) */ + + v4sf 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, xx); + y2 = _mm_add_ps(y2, xx); + + /* select the correct result from the two polynoms */ + xmm3 = poly_mask; + v4sf ysin2 = _mm_and_ps(xmm3, y2); + v4sf 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 */ + _mm_store_ss( s, _mm_xor_ps(xmm1, sign_bit_sin) ); + _mm_store_ss( c, _mm_xor_ps(xmm2, sign_bit_cos) ); + +#else + #error "Not Implemented" +#endif +} + +float _SSE_cos( float x ) +{ +#ifdef _WIN32 + float temp; + __asm + { + movss xmm0, x + movss xmm1, _ps_am_inv_sign_mask + andps xmm0, xmm1 + addss xmm0, _ps_am_pi_o_2 + mulss xmm0, _ps_am_2_o_pi + + cvttss2si ecx, xmm0 + movss xmm5, _ps_am_1 + mov edx, ecx + shl edx, (31 - 1) + cvtsi2ss xmm1, ecx + and edx, 0x80000000 + and ecx, 0x1 + + subss xmm0, xmm1 + movss xmm6, _sincos_masks[ecx * 4] + minss xmm0, xmm5 + + movss xmm1, _ps_sincos_p3 + subss xmm5, xmm0 + + andps xmm5, xmm6 + movss xmm7, _ps_sincos_p2 + andnps xmm6, xmm0 + mov temp, edx + orps xmm5, xmm6 + movss xmm0, xmm5 + + mulss xmm5, xmm5 + movss xmm4, _ps_sincos_p1 + movss xmm2, xmm5 + mulss xmm5, xmm1 + movss xmm1, _ps_sincos_p0 + addss xmm5, xmm7 + mulss xmm5, xmm2 + movss xmm3, temp + addss xmm5, xmm4 + mulss xmm5, xmm2 + orps xmm0, xmm3 + addss xmm5, xmm1 + mulss xmm0, xmm5 + + movss x, xmm0 + + } +#elif POSIX + + Assert( "Needs testing, verify impl!\n" ); + + v4sf xmm1, xmm2 = _mm_setzero_ps(), xmm3, y; + v2si mm0, mm1, mm2, mm3; + /* take the absolute value */ + v4sf xx = _mm_load_ss( &x ); + + xx = _mm_and_ps(xx, *(v4sf*)_ps_inv_sign_mask); + + /* scale by 4/Pi */ + y = _mm_mul_ps(xx, *(v4sf*)_ps_cephes_FOPI); + + /* 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()); + + v4sf sign_bit, poly_mask; + COPY_MM_TO_XMM(mm0, mm1, sign_bit); + COPY_MM_TO_XMM(mm2, mm3, poly_mask); + _mm_empty(); /* good-bye mmx */ + + /* 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); + xx = _mm_add_ps(xx, xmm1); + xx = _mm_add_ps(xx, xmm2); + xx = _mm_add_ps(xx, xmm3); + + /* Evaluate the first polynom (0 <= x <= Pi/4) */ + y = *(v4sf*)_ps_coscof_p0; + v4sf z = _mm_mul_ps(xx,xx); + + 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); + v4sf 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) */ + + v4sf 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, xx); + y2 = _mm_add_ps(y2, xx); + + /* 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 */ + + _mm_store_ss( &x, _mm_xor_ps(y, sign_bit) ); + +#else + #error "Not Implemented" +#endif + + return x; +} + +//----------------------------------------------------------------------------- +// SSE2 implementations of optimized routines: +//----------------------------------------------------------------------------- +void _SSE2_SinCos(float x, float* s, float* c) // any x +{ +#ifdef _WIN32 + __asm + { + movss xmm0, x + movaps xmm7, xmm0 + movss xmm1, _ps_am_inv_sign_mask + movss xmm2, _ps_am_sign_mask + movss xmm3, _ps_am_2_o_pi + andps xmm0, xmm1 + andps xmm7, xmm2 + mulss xmm0, xmm3 + + pxor xmm3, xmm3 + movd xmm5, _epi32_1 + movss xmm4, _ps_am_1 + + cvttps2dq xmm2, xmm0 + pand xmm5, xmm2 + movd xmm1, _epi32_2 + pcmpeqd xmm5, xmm3 + movd xmm3, _epi32_1 + cvtdq2ps xmm6, xmm2 + paddd xmm3, xmm2 + pand xmm2, xmm1 + pand xmm3, xmm1 + subss xmm0, xmm6 + pslld xmm2, (31 - 1) + minss xmm0, xmm4 + + mov eax, s // mov eax, [esp + 4 + 16] + mov edx, c // mov edx, [esp + 4 + 16 + 4] + + subss xmm4, xmm0 + pslld xmm3, (31 - 1) + + movaps xmm6, xmm4 + xorps xmm2, xmm7 + movaps xmm7, xmm5 + andps xmm6, xmm7 + andnps xmm7, xmm0 + andps xmm0, xmm5 + andnps xmm5, xmm4 + movss xmm4, _ps_sincos_p3 + orps xmm6, xmm7 + orps xmm0, xmm5 + movss xmm5, _ps_sincos_p2 + + movaps xmm1, xmm0 + movaps xmm7, xmm6 + mulss xmm0, xmm0 + mulss xmm6, xmm6 + orps xmm1, xmm2 + orps xmm7, xmm3 + movaps xmm2, xmm0 + movaps xmm3, xmm6 + mulss xmm0, xmm4 + mulss xmm6, xmm4 + movss xmm4, _ps_sincos_p1 + addss xmm0, xmm5 + addss xmm6, xmm5 + movss xmm5, _ps_sincos_p0 + mulss xmm0, xmm2 + mulss xmm6, xmm3 + addss xmm0, xmm4 + addss xmm6, xmm4 + mulss xmm0, xmm2 + mulss xmm6, xmm3 + addss xmm0, xmm5 + addss xmm6, xmm5 + mulss xmm0, xmm1 + mulss xmm6, xmm7 + + // use full stores since caller might reload with full loads + movss [eax], xmm0 + movss [edx], xmm6 + } +#elif POSIX + #warning "_SSE2_SinCos NOT implemented!" + Assert( 0 ); +#else + #error "Not Implemented" +#endif +} + +float _SSE2_cos(float x) +{ +#ifdef _WIN32 + __asm + { + movss xmm0, x + movss xmm1, _ps_am_inv_sign_mask + movss xmm2, _ps_am_pi_o_2 + movss xmm3, _ps_am_2_o_pi + andps xmm0, xmm1 + addss xmm0, xmm2 + mulss xmm0, xmm3 + + pxor xmm3, xmm3 + movd xmm5, _epi32_1 + movss xmm4, _ps_am_1 + cvttps2dq xmm2, xmm0 + pand xmm5, xmm2 + movd xmm1, _epi32_2 + pcmpeqd xmm5, xmm3 + cvtdq2ps xmm6, xmm2 + pand xmm2, xmm1 + pslld xmm2, (31 - 1) + + subss xmm0, xmm6 + movss xmm3, _ps_sincos_p3 + minss xmm0, xmm4 + subss xmm4, xmm0 + andps xmm0, xmm5 + andnps xmm5, xmm4 + orps xmm0, xmm5 + + movaps xmm1, xmm0 + movss xmm4, _ps_sincos_p2 + mulss xmm0, xmm0 + movss xmm5, _ps_sincos_p1 + orps xmm1, xmm2 + movaps xmm7, xmm0 + mulss xmm0, xmm3 + movss xmm6, _ps_sincos_p0 + addss xmm0, xmm4 + mulss xmm0, xmm7 + addss xmm0, xmm5 + mulss xmm0, xmm7 + addss xmm0, xmm6 + mulss xmm0, xmm1 + movss x, xmm0 + } +#elif POSIX + #warning "_SSE2_cos NOT implemented!" + Assert( 0 ); +#else + #error "Not Implemented" +#endif + + return x; +} + +// SSE Version of VectorTransform +void VectorTransformSSE(const float *in1, const matrix3x4_t& in2, float *out1) +{ + Assert( s_bMathlibInitialized ); + Assert( in1 != out1 ); + +#ifdef _WIN32 + __asm + { + mov eax, in1; + mov ecx, in2; + mov edx, out1; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + addss xmm0, [ecx+12] + movss [edx], xmm0; + add ecx, 16; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + addss xmm0, [ecx+12] + movss [edx+4], xmm0; + add ecx, 16; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + addss xmm0, [ecx+12] + movss [edx+8], xmm0; + } +#elif POSIX + #warning "VectorTransformSSE C implementation only" + out1[0] = DotProduct(in1, in2[0]) + in2[0][3]; + out1[1] = DotProduct(in1, in2[1]) + in2[1][3]; + out1[2] = DotProduct(in1, in2[2]) + in2[2][3]; +#else + #error "Not Implemented" +#endif +} + +void VectorRotateSSE( const float *in1, const matrix3x4_t& in2, float *out1 ) +{ + Assert( s_bMathlibInitialized ); + Assert( in1 != out1 ); + +#ifdef _WIN32 + __asm + { + mov eax, in1; + mov ecx, in2; + mov edx, out1; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + movss [edx], xmm0; + add ecx, 16; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + movss [edx+4], xmm0; + add ecx, 16; + + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + movss [edx+8], xmm0; + } +#elif POSIX + #warning "VectorRotateSSE C implementation only" + out1[0] = DotProduct( in1, in2[0] ); + out1[1] = DotProduct( in1, in2[1] ); + out1[2] = DotProduct( in1, in2[2] ); +#else + #error "Not Implemented" +#endif +} + +#ifdef _WIN32 +void _declspec(naked) _SSE_VectorMA( const float *start, float scale, const float *direction, float *dest ) +{ + // FIXME: This don't work!! It will overwrite memory in the write to dest + Assert(0); + + Assert( s_bMathlibInitialized ); + _asm { // Intel SSE only routine + mov eax, DWORD PTR [esp+0x04] ; *start, s0..s2 + mov ecx, DWORD PTR [esp+0x0c] ; *direction, d0..d2 + mov edx, DWORD PTR [esp+0x10] ; *dest + movss xmm2, [esp+0x08] ; x2 = scale, 0, 0, 0 +#ifdef ALIGNED_VECTOR + movaps xmm3, [ecx] ; x3 = dir0,dir1,dir2,X + pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale + movaps xmm1, [eax] ; x1 = start1, start2, start3, X + mulps xmm3, xmm2 ; x3 *= x2 + addps xmm3, xmm1 ; x3 += x1 + movaps [edx], xmm3 ; *dest = x3 +#else + movups xmm3, [ecx] ; x3 = dir0,dir1,dir2,X + pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale + movups xmm1, [eax] ; x1 = start1, start2, start3, X + mulps xmm3, xmm2 ; x3 *= x2 + addps xmm3, xmm1 ; x3 += x1 + movups [edx], xmm3 ; *dest = x3 +#endif + } +} +#endif + +#ifdef _WIN32 +#ifdef PFN_VECTORMA +void _declspec(naked) __cdecl _SSE_VectorMA( const Vector &start, float scale, const Vector &direction, Vector &dest ) +{ + // FIXME: This don't work!! It will overwrite memory in the write to dest + Assert(0); + + Assert( s_bMathlibInitialized ); + _asm + { + // Intel SSE only routine + mov eax, DWORD PTR [esp+0x04] ; *start, s0..s2 + mov ecx, DWORD PTR [esp+0x0c] ; *direction, d0..d2 + mov edx, DWORD PTR [esp+0x10] ; *dest + movss xmm2, [esp+0x08] ; x2 = scale, 0, 0, 0 +#ifdef ALIGNED_VECTOR + movaps xmm3, [ecx] ; x3 = dir0,dir1,dir2,X + pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale + movaps xmm1, [eax] ; x1 = start1, start2, start3, X + mulps xmm3, xmm2 ; x3 *= x2 + addps xmm3, xmm1 ; x3 += x1 + movaps [edx], xmm3 ; *dest = x3 +#else + movups xmm3, [ecx] ; x3 = dir0,dir1,dir2,X + pshufd xmm2, xmm2, 0 ; x2 = scale, scale, scale, scale + movups xmm1, [eax] ; x1 = start1, start2, start3, X + mulps xmm3, xmm2 ; x3 *= x2 + addps xmm3, xmm1 ; x3 += x1 + movups [edx], xmm3 ; *dest = x3 +#endif + } +} +float (__cdecl *pfVectorMA)(Vector& v) = _VectorMA; +#endif +#endif + + +// SSE DotProduct -- it's a smidgen faster than the asm DotProduct... +// Should be validated too! :) +// NJS: (Nov 1 2002) -NOT- faster. may time a couple cycles faster in a single function like +// this, but when inlined, and instruction scheduled, the C version is faster. +// Verified this via VTune +/* +vec_t DotProduct (const vec_t *a, const vec_t *c) +{ + vec_t temp; + + __asm + { + mov eax, a; + mov ecx, c; + mov edx, DWORD PTR [temp] + movss xmm0, [eax]; + mulss xmm0, [ecx]; + movss xmm1, [eax+4]; + mulss xmm1, [ecx+4]; + movss xmm2, [eax+8]; + mulss xmm2, [ecx+8]; + addss xmm0, xmm1; + addss xmm0, xmm2; + movss [edx], xmm0; + fld DWORD PTR [edx]; + ret + } +} +*/ + +#endif // COMPILER_MSVC64 |