1827 lines
40 KiB
C++
1827 lines
40 KiB
C++
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/*--
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Copyright (c) 2000 Microsoft Corporation - Xbox SDK
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Module Name:
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fastmath.cpp
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--*/
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#include "precomp.h"
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//#include "Debug.h"
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//----------------------------------------------------------------------------
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// Katmai and MMX(TM) constants implementation
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#define _MM_ALIGN16 __declspec(align(16))
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#define SC_OPT
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#if !defined(M128)
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#define M128(x) (*(__m128*)&(x))
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#endif
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typedef unsigned long DWORD;
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#define _M128_CONST(Name, Val) \
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static const _MM_ALIGN16 float _m128const_##Name[4] = { Val, Val, Val, Val }
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#define _M128_CONST4(Name, Val0, Val1, Val2, Val3) \
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static const _MM_ALIGN16 float _m128const_##Name[4] = { Val0, Val1, Val2, Val3 }
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#define M128_EXTERN_CONST(Name, Val) \
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static const _MM_ALIGN16 float _m128const_##Name[4] = { Val, Val, Val, Val }; \
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const __m128* p##Name = (__m128*)_m128const_##Name
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#define M128_EXTERN_CONST_TYPE(Name, Val, Type) \
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static const _MM_ALIGN16 Type _m128const_##Name[4] = { Val, Val, Val, Val }; \
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const __m128* p##Name = (__m128*)_m128const_##Name
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#define M128_CONST(Name, Val) \
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static const _MM_ALIGN16 float _m128const_##Name[4] = { Val, Val, Val, Val }; \
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const __m128 Name = M128(_m128const_##Name)
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M128_EXTERN_CONST(am_0, 0.0f);
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M128_EXTERN_CONST(am_1, 1.0f);
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M128_EXTERN_CONST(am_minus_1, -1.0f);
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M128_EXTERN_CONST(am_0p5, 0.5f);
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M128_EXTERN_CONST(am_1p5, 1.5f);
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M128_EXTERN_CONST(am_3_over_2, 3.0f / 2.0f);
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M128_EXTERN_CONST(am_pi, PI);
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M128_EXTERN_CONST(am_pi_over_2, (PI / 2.0f));
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M128_EXTERN_CONST(am_2_over_pi, (2.0f / PI));
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M128_EXTERN_CONST_TYPE(am_sign_mask, 0x80000000, DWORD);
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M128_EXTERN_CONST_TYPE(am_inv_sign_mask, ~0x80000000, DWORD);
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M128_EXTERN_CONST_TYPE(am_min_pos_norm, 0x00800000, DWORD);
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M128_EXTERN_CONST_TYPE(am_mant_mask, 0x7f800000, DWORD);
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M128_EXTERN_CONST_TYPE(am_inv_mant_mask, ~0x7f800000, DWORD);
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//----------------------------------------------------------------------------
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// Katmai and MMX(TM) constants implementation
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static const float p0 = 0.15707963267948963959e1f;
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static const float p1 = -0.64596409750621907082e0f;
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static const float p2 = 0.7969262624561800806e-1f;
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static const float p3 = -0.468175413106023168e-2f;
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static const float t0 = -0.91646118527267623468e-1f;
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static const float t1 = -0.13956945682312098640e1f;
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static const float t2 = -0.94393926122725531747e2f;
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static const float t3 = 0.12888383034157279340e2f;
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static const float s0 = 0.12797564625607904396e1f;
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static const float s1 = 0.21972168858277355914e1f;
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static const float s2 = 0.68193064729268275701e1f;
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static const float s3 = 0.28205206687035841409e2f;
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static const float p0exp = 1.26177193074810590878e-4f;
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static const float p1exp = 3.02994407707441961300e-2f;
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static const float q0 = 3.00198505138664455042e-6f;
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static const float q1 = 2.52448340349684104192e-3f;
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static const float q2 = 2.27265548208155028766e-1f;
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static const float q3 = 2.00000000000000000009e0f;
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static const float rln2 = 1.4426950408889634073599f;
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static const float c1 = 6.93145751953125e-1f;
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static const float c2 = 1.42860682030941723212e-6f;
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const float at3613 = 2.7692309f;
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const float at2511 = 2.2727273f;
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const float at36 = 36.0f;
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const float at25 = 25.0f;
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const float at16 = 16.0f;
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const float at11 = 11.0f;
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const float at9 = 9.0f;
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const float at7 = 7.0f;
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const float at5 = 5.0f;
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const float at4 = 4.0f;
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const float at3 = 3.0f;
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const float at1 = 1.0f;
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const float at_p2 = PI_DIV_2;
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const float mp2 = -PI_DIV_2;
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const float as2 = FLOAT_SMALL;
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const float SQ2 = 1.4142136f;
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const float SQ3 = 0.3333333f;
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const float SQ5 = 1.4000000f;
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const float SQ7 = 0.1428571f;
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const float LOG2 = 0.3465736f;
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static const float log_p0 = -7.89580278884799154124e-1f;
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static const float log_p1 = 1.63866645699558079767e1f;
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static const float log_p2 = -6.41409952958715622951e1f;
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static const float log_q0 = -3.56722798256324312549e1f;
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static const float log_q1 = 3.12093766372244180303e2f;
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static const float log_q2 = -7.69691943550460008604e2f;
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static const float log_rsqrt2 = 7.07106781186547524401e-1f;
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static const float log_c0 = 0.693147180559945f;
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static const float fmax = 88.0f;
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static const float fmin = -88.0f;
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static const float pow_p0 = -7.89580278884799154124e-1f;
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static const float pow_p1 = 1.63866645699558079767e1f;
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static const float pow_p2 = -6.41409952958715622951e1f;
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static const float pow_q0 = -3.56722798256324312549e1f;
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static const float pow_q1 = 3.12093766372244180303e2f;
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static const float pow_q2 = -7.69691943550460008604e2f;
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static const float pow_rsqrt2 = 7.07106781186547524401e-1f;
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static const float pow_c0 = 1.44269504088896340735992f;
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static const float pow_r0 = 2.30933477057345225087e-2f;
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static const float pow_r1 = 2.02020656693165307700e1f;
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static const float pow_r2 = 1.51390680115615096133e3f;
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static const float pow_s0 = 2.33184211722314911771e2f;
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static const float pow_s1 = 4.36821166879210612817e3f;
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static const float pow_fmax = 128.0f;
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static const float pow_fmin = -127.0f;
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const float th1 = 1.0f;
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const float th2p = 2.0f;
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const float th2m = -2.0f;
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const float th3 = 0.3333333f;
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const float sh1 = 1.0f;
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const float sh5 = 0.5f;
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const float sh6 = 0.1666667f;
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const float t_as[49] = {
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0.9698000f,
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0.9691796f, 0.9685330f, 0.9678589f, 0.9671551f, 0.9664199f, 0.9656509f, 0.9648460f, 0.9640023f,
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0.9631173f, 0.9621876f, 0.9612098f, 0.9601802f, 0.9590943f, 0.9579477f, 0.9567349f, 0.9554501f,
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0.9540865f, 0.9526370f, 0.9510929f, 0.9494448f, 0.9476817f, 0.9457912f, 0.9437591f, 0.9415686f,
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0.9392007f, 0.9366328f, 0.9338384f, 0.9307863f, 0.9274390f, 0.9237517f, 0.9196697f, 0.9151261f,
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0.9100379f, 0.9043011f, 0.8977833f, 0.8903134f, 0.8816667f, 0.8715416f, 0.8595238f, 0.8450292f,
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0.8272059f, 0.8047620f, 0.7756411f, 0.7363636f, 0.6805556f, 0.5952381f, 0.4500000f, 0.1666667f
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};
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//----------------------------------------------------------------------------
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// atan
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float fast_atan
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(
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float x
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)
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//--------------------------------------
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{
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#if defined(USE_C)
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// 154 cycles
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return atanf(x);
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#else
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#if defined(SC_OPT)
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_asm {
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mov eax, x
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movss xmm0, x
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cmp eax, 0bf800000h
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jnc minus1
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cmp eax, 3f800000h
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jnc plus1
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movss xmm1, xmm0
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mulss xmm1, xmm1
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movss xmm2, xmm1
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movss xmm3, xmm1
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movss xmm4, xmm1
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movss xmm5, xmm1
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mulss xmm2, at2511
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mulss xmm3, at16
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mulss xmm4, at9
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mulss xmm5, at4
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addss xmm2, at9
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rcpss xmm6, xmm2
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mulss xmm6, xmm3
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addss xmm6, at7
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rcpss xmm2, xmm6
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mulss xmm2, xmm4
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addss xmm2, at5
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rcpss xmm6, xmm2
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mulss xmm6, xmm5
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addss xmm6, at3
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rcpss xmm2, xmm6
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mulss xmm1, xmm2
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addss xmm1, at1
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rcpss xmm2, xmm1
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movss xmm7, xmm2
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addss xmm2, xmm2
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mulss xmm7, xmm7
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mulss xmm7, xmm1
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subss xmm2, xmm7
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mulss xmm0, xmm2
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movss x, xmm0
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}
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return x;
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_asm {
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ALIGN 16
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minus1:
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rcpss xmm0, xmm0
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movss xmm1, xmm0
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mulss xmm1, xmm1
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movss xmm2, xmm1
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movss xmm3, xmm1
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movss xmm4, xmm1
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movss xmm5, xmm1
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movss xmm6, xmm1
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mulss xmm2, at3613
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mulss xmm3, at25
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mulss xmm4, at16
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mulss xmm5, at9
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mulss xmm6, at4
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addss xmm2, at11
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rcpss xmm2, xmm2
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mulss xmm2, xmm3
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addss xmm2, at9
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rcpss xmm2, xmm2
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mulss xmm2, xmm4
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addss xmm2, at7
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rcpss xmm2, xmm2
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movss xmm3, mp2
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mulss xmm2, xmm5
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addss xmm2, at5
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rcpss xmm2, xmm2
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mulss xmm2, xmm6
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addss xmm2, at3
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rcpss xmm2, xmm2
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mulss xmm1, xmm2
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addss xmm1, at1
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rcpss xmm2, xmm1
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movss xmm7, xmm2
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addss xmm2, xmm2
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mulss xmm7, xmm7
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mulss xmm7, xmm1
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subss xmm2, xmm7
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mulss xmm0, xmm2
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subss xmm3, xmm0
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movss x, xmm3
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}
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return x;
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_asm {
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ALIGN 16
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plus1:
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rcpss xmm0, xmm0
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movss xmm1, xmm0
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mulss xmm1, xmm1
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movss xmm2, xmm1
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movss xmm3, xmm1
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movss xmm4, xmm1
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movss xmm5, xmm1
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movss xmm6, xmm1
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mulss xmm2, at3613
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mulss xmm3, at25
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mulss xmm4, at16
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mulss xmm5, at9
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mulss xmm6, at4
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addss xmm2, at11
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rcpss xmm2, xmm2
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mulss xmm2, xmm3
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addss xmm2, at9
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rcpss xmm2, xmm2
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mulss xmm2, xmm4
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addss xmm2, at7
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rcpss xmm2, xmm2
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movss xmm3, at_p2
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mulss xmm2, xmm5
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addss xmm2, at5
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rcpss xmm2, xmm2
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mulss xmm2, xmm6
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addss xmm2, at3
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rcpss xmm2, xmm2
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mulss xmm1, xmm2
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addss xmm1, at1
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rcpss xmm2, xmm1
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movss xmm7, xmm2
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addss xmm2, xmm2
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mulss xmm7, xmm7
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mulss xmm7, xmm1
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subss xmm2, xmm7
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mulss xmm0, xmm2
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subss xmm3, xmm0
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movss x, xmm3
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}
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return x;
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#else // SC_OPT
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// 60 cycles
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__asm
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{
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movss xmm0, x
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movss xmm1, xmm0
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rcpss xmm4, xmm0
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orps xmm1, _m128const_am_sign_mask
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movss xmm6, xmm4
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comiss xmm1, _m128const_am_minus_1
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jc l_big // 'c' is 'lt' for comiss
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movss xmm3, t0
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movss xmm2, xmm0
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mulss xmm2, xmm2
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movss xmm1, s0
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addss xmm1, xmm2
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movss xmm7, s1
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rcpss xmm1, xmm1
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mulss xmm1, xmm3
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movss xmm3, t1
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|
addss xmm7, xmm2
|
||
|
|
addss xmm1, xmm7
|
||
|
|
|
||
|
|
movss xmm7, s2
|
||
|
|
rcpss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm3
|
||
|
|
movss xmm3, t2
|
||
|
|
addss xmm7, xmm2
|
||
|
|
addss xmm1, xmm7
|
||
|
|
|
||
|
|
movss xmm7, s3
|
||
|
|
rcpss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm3
|
||
|
|
movss xmm3, t3
|
||
|
|
addss xmm7, xmm2
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
addss xmm1, xmm7
|
||
|
|
|
||
|
|
rcpss xmm1, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
|
||
|
|
jmp l_done
|
||
|
|
|
||
|
|
l_big:
|
||
|
|
movss xmm3, t0
|
||
|
|
mulss xmm6, xmm6
|
||
|
|
|
||
|
|
movss xmm5, s0
|
||
|
|
addss xmm5, xmm6
|
||
|
|
|
||
|
|
movss xmm7, s1
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
mulss xmm5, xmm3
|
||
|
|
movss xmm3, t1
|
||
|
|
addss xmm7, xmm6
|
||
|
|
addss xmm5, xmm7
|
||
|
|
|
||
|
|
movss xmm7, s2
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
mulss xmm5, xmm3
|
||
|
|
movss xmm3, t2
|
||
|
|
addss xmm7, xmm6
|
||
|
|
addss xmm5, xmm7
|
||
|
|
|
||
|
|
movss xmm7, s3
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
mulss xmm5, xmm3
|
||
|
|
movss xmm3, t3
|
||
|
|
addss xmm7, xmm6
|
||
|
|
mulss xmm4, xmm3
|
||
|
|
addss xmm5, xmm7
|
||
|
|
|
||
|
|
movss xmm2, _m128const_am_sign_mask
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
mulss xmm5, xmm4
|
||
|
|
|
||
|
|
movss xmm7, _m128const_am_pi_over_2
|
||
|
|
andps xmm0, xmm2
|
||
|
|
orps xmm0, xmm7
|
||
|
|
subss xmm0, xmm5
|
||
|
|
|
||
|
|
l_done:
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !SC_OPT
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// atan2
|
||
|
|
float fast_atan2
|
||
|
|
(
|
||
|
|
float x,
|
||
|
|
float y
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 154 cycles
|
||
|
|
return atan2f(x, y);
|
||
|
|
|
||
|
|
#else
|
||
|
|
#if defined(SC_OPT)
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
rcpss xmm1, y
|
||
|
|
movss xmm2, xmm1
|
||
|
|
addss xmm1, xmm1
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
mulss xmm2, y
|
||
|
|
subss xmm1, xmm2
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return fast_atan( x );
|
||
|
|
#else // SC_OPT
|
||
|
|
|
||
|
|
// 77 cycles
|
||
|
|
fast_atan(x * y);
|
||
|
|
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
// We assume fast_atan leaves the return value in xmm0
|
||
|
|
|
||
|
|
xorps xmm7, xmm7
|
||
|
|
movss xmm1, y //[esp - 20 - 8]
|
||
|
|
comiss xmm1, xmm7
|
||
|
|
movss xmm4, x //[esp - 20 - 4]
|
||
|
|
jnc l_pos // 'nc' is 'ge' for comiss
|
||
|
|
|
||
|
|
andps xmm4, _m128const_am_sign_mask
|
||
|
|
orps xmm4, _m128const_am_pi
|
||
|
|
|
||
|
|
addss xmm0, xmm4
|
||
|
|
|
||
|
|
l_pos:
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !SC_OPT
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// acos
|
||
|
|
float fast_acos
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
// 273 cycles
|
||
|
|
return acosf(x);
|
||
|
|
#else
|
||
|
|
_asm {
|
||
|
|
mov eax, x;
|
||
|
|
test eax, 080000000h
|
||
|
|
jnz acminus
|
||
|
|
or eax, eax ; == 0.0
|
||
|
|
jz acretz
|
||
|
|
cmp eax, 3f800000h ; >= 1.0
|
||
|
|
jnc acretp
|
||
|
|
jmp acculc
|
||
|
|
acminus:
|
||
|
|
and eax, 7fffffffh ;Just in case. it may be not need.
|
||
|
|
jz acretz ; == -0.0
|
||
|
|
cmp eax, 0bf800000h ; <= -1.0
|
||
|
|
jnc acretm
|
||
|
|
acculc:
|
||
|
|
}
|
||
|
|
return PI_DIV_2 - fast_asin( x );
|
||
|
|
acretz:
|
||
|
|
return PI_DIV_2;
|
||
|
|
acretp:
|
||
|
|
return 0.0f;
|
||
|
|
acretm:
|
||
|
|
return PI;
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// asin
|
||
|
|
float fast_asin
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
// 279 cycles
|
||
|
|
return asinf(x);
|
||
|
|
#else
|
||
|
|
const unsigned long as1 = FP_ONE_BITS;
|
||
|
|
const unsigned long* pt_as = (unsigned long*) &t_as[0];
|
||
|
|
|
||
|
|
_asm {
|
||
|
|
mov eax, x;
|
||
|
|
test eax, 080000000h
|
||
|
|
jnz asminus
|
||
|
|
or eax, eax ; == 0.0
|
||
|
|
jz asretz
|
||
|
|
cmp eax, 3f800000h ; >= 1.0
|
||
|
|
jnc asretp
|
||
|
|
cmp eax, 3f3504f3h ; >= SQRT2 / 2
|
||
|
|
jnc asrett
|
||
|
|
jmp asculc
|
||
|
|
asminus:
|
||
|
|
and eax, 7fffffffh ;Just in case. it may be not need.
|
||
|
|
jz asretz ; == -0.0
|
||
|
|
cmp eax, 0bf800000h ; <= -1.0
|
||
|
|
jnc asretm
|
||
|
|
cmp eax, 0bf3504f3h ; <= -SQRT2 / 2
|
||
|
|
jnc asrett
|
||
|
|
asculc:
|
||
|
|
movss xmm0, as1 ;xmm0 = factor
|
||
|
|
movss xmm1, xmm0 ;xmm1 = sum
|
||
|
|
movss xmm2, xmm0 ;xmm2 = power
|
||
|
|
movss xmm3, x ;xmm3 = x
|
||
|
|
movss xmm4, xmm3
|
||
|
|
mulss xmm4, xmm4 ;xmm4 = y
|
||
|
|
movss xmm5, as2 ;xmm5 = FLOAT_SMALL
|
||
|
|
mov edx, pt_as
|
||
|
|
mov ecx, 48
|
||
|
|
asloop:
|
||
|
|
movss xmm6, dword ptr[edx + ecx * 4]
|
||
|
|
mulss xmm0, xmm6
|
||
|
|
mulss xmm2, xmm4
|
||
|
|
movss xmm6, xmm0
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
addss xmm1, xmm6
|
||
|
|
comiss xmm6, xmm5
|
||
|
|
dec ecx
|
||
|
|
ja asloop
|
||
|
|
mulss xmm1, xmm3
|
||
|
|
movss x, xmm1
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
asretz:
|
||
|
|
return 0.0f;
|
||
|
|
asretp:
|
||
|
|
return PI_DIV_2;
|
||
|
|
asretm:
|
||
|
|
return -PI_DIV_2;
|
||
|
|
asrett:
|
||
|
|
_asm {
|
||
|
|
movss xmm1, x
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
movss xmm0, as1
|
||
|
|
subss xmm0, xmm1
|
||
|
|
rsqrtss xmm1, xmm0
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, _m128const_am_0p5
|
||
|
|
mulss xmm1, _m128const_am_3_over_2
|
||
|
|
subss xmm1, xmm0
|
||
|
|
mulss xmm1, x
|
||
|
|
movss x, xmm1
|
||
|
|
}
|
||
|
|
// quality of fast_atan is too bad.
|
||
|
|
return fast_atan( x );
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// log
|
||
|
|
float fast_log
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 106 cycles
|
||
|
|
return logf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
#if defined(SC_OPT)
|
||
|
|
|
||
|
|
// 58 cycles
|
||
|
|
_asm {
|
||
|
|
mov eax, x
|
||
|
|
mov edx, eax
|
||
|
|
and eax, 7fffffh
|
||
|
|
movss xmm2, SQ2
|
||
|
|
and edx, 7f800000h
|
||
|
|
or eax, 3f800000h
|
||
|
|
shr edx, 22
|
||
|
|
mov x, eax
|
||
|
|
movss xmm1, x
|
||
|
|
movss xmm0, xmm1
|
||
|
|
movss xmm3, SQ5
|
||
|
|
addss xmm1, xmm2
|
||
|
|
subss xmm0, xmm2
|
||
|
|
sub edx, 253
|
||
|
|
|
||
|
|
rcpss xmm2, xmm1
|
||
|
|
movss xmm3, xmm2 ;Newton-Raphson
|
||
|
|
addss xmm3, xmm3
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
mulss xmm2, xmm1
|
||
|
|
subss xmm3, xmm2 ;complete Newton-Raphson
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
|
||
|
|
movss xmm2, SQ7
|
||
|
|
movss xmm1, xmm0
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
mulss xmm2, xmm0
|
||
|
|
addss xmm3, xmm0
|
||
|
|
mulss xmm2, xmm3
|
||
|
|
addss xmm2, SQ3
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
cvtsi2ss xmm3, edx
|
||
|
|
addss xmm0, xmm1
|
||
|
|
mulss xmm3, LOG2
|
||
|
|
addss xmm0, xmm0
|
||
|
|
addss xmm0, xmm3
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
#else // !SC_OPT
|
||
|
|
|
||
|
|
// 66 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
maxss xmm0, _m128const_am_min_pos_norm // Cut off denormalized stuff
|
||
|
|
movss xmm7, _m128const_am_inv_mant_mask
|
||
|
|
movss xmm1, _m128const_am_1
|
||
|
|
movss [esp - 4], xmm0
|
||
|
|
|
||
|
|
andps xmm0, xmm7
|
||
|
|
orps xmm0, xmm1 // xmm1 == 1.0
|
||
|
|
comiss xmm0, log_rsqrt2
|
||
|
|
movss xmm7, xmm0
|
||
|
|
|
||
|
|
jc l_lt // 'c' is 'lt' for comiss
|
||
|
|
//l_ge:
|
||
|
|
xor ecx, ecx
|
||
|
|
movss xmm2, xmm1 // xmm1 == 1.0
|
||
|
|
jmp l_continue
|
||
|
|
|
||
|
|
l_lt:
|
||
|
|
mov ecx, 1
|
||
|
|
movss xmm2, _m128const_am_0p5
|
||
|
|
|
||
|
|
l_continue:
|
||
|
|
addss xmm7, xmm2
|
||
|
|
subss xmm0, xmm2
|
||
|
|
mov edx, x
|
||
|
|
rcpss xmm7, xmm7
|
||
|
|
mulss xmm0, xmm7
|
||
|
|
addss xmm0, xmm0
|
||
|
|
|
||
|
|
shr edx, 23
|
||
|
|
|
||
|
|
movss xmm2, xmm0
|
||
|
|
sub edx, 0x7f
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
|
||
|
|
movss xmm4, log_p0
|
||
|
|
movss xmm6, log_q0
|
||
|
|
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
movss xmm5, log_p1
|
||
|
|
sub edx, ecx
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
movss xmm7, log_q1
|
||
|
|
|
||
|
|
addss xmm4, xmm5
|
||
|
|
addss xmm6, xmm7
|
||
|
|
|
||
|
|
movss xmm5, log_p2
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
cvtsi2ss xmm1, edx
|
||
|
|
movss xmm7, log_q2
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
|
||
|
|
addss xmm4, xmm5
|
||
|
|
addss xmm6, xmm7
|
||
|
|
|
||
|
|
movss xmm5, log_c0
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
rcpss xmm6, xmm6
|
||
|
|
|
||
|
|
mulss xmm4, xmm0
|
||
|
|
mulss xmm1, xmm5
|
||
|
|
mulss xmm4, xmm6
|
||
|
|
|
||
|
|
addss xmm0, xmm1
|
||
|
|
addss xmm0, xmm4
|
||
|
|
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
#endif // SC_OPT
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// log10
|
||
|
|
float fast_log10
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 106 cycles
|
||
|
|
return log10f(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
// 74 cycles
|
||
|
|
// fixed coefficient 7/3/2000 Shinji Chiba
|
||
|
|
return fast_log( x ) * 0.4342945f;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// exp
|
||
|
|
float fast_exp
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 151 cycles
|
||
|
|
return expf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 90 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
maxss xmm0, fmin
|
||
|
|
minss xmm0, fmax
|
||
|
|
|
||
|
|
movss xmm1, rln2
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
movss xmm7, _m128const_am_0
|
||
|
|
addss xmm1, _m128const_am_0p5
|
||
|
|
xor ecx, ecx
|
||
|
|
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm1, xmm7
|
||
|
|
cvttss2si eax, xmm1
|
||
|
|
cmovc ecx, edx // 'c' is 'lt' for comiss
|
||
|
|
sub eax, ecx
|
||
|
|
|
||
|
|
cvtsi2ss xmm1, eax
|
||
|
|
add eax, 0x7f
|
||
|
|
|
||
|
|
movss xmm2, xmm1
|
||
|
|
mulss xmm1, c1
|
||
|
|
and eax, 0xff // Optional, just for sanity
|
||
|
|
mulss xmm2, c2
|
||
|
|
subss xmm0, xmm1
|
||
|
|
shl eax, 23
|
||
|
|
subss xmm0, xmm2
|
||
|
|
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mov x, eax
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
|
||
|
|
movss xmm6, q0
|
||
|
|
movss xmm4, p0exp
|
||
|
|
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
movss xmm7, q1
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
movss xmm5, p1exp
|
||
|
|
|
||
|
|
addss xmm6, xmm7
|
||
|
|
addss xmm4, xmm5
|
||
|
|
|
||
|
|
movss xmm7, q2
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
|
||
|
|
addss xmm6, xmm7
|
||
|
|
mulss xmm4, xmm0
|
||
|
|
|
||
|
|
movss xmm7, q3
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
addss xmm4, xmm0
|
||
|
|
addss xmm6, xmm7
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
subss xmm6, xmm4
|
||
|
|
rcpss xmm6, xmm6
|
||
|
|
movss xmm7, _m128const_am_1
|
||
|
|
mulss xmm4, xmm6
|
||
|
|
addss xmm4, xmm4
|
||
|
|
addss xmm4, xmm7
|
||
|
|
|
||
|
|
mulss xmm0, xmm4
|
||
|
|
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
float fast_sqrt( float x )
|
||
|
|
{
|
||
|
|
_asm {
|
||
|
|
mov eax, x
|
||
|
|
or eax, eax
|
||
|
|
jz SQRTZERO
|
||
|
|
movss xmm0, x
|
||
|
|
// approximate sqrt reciprocal -- |Max Error| <= 1.5x2^-12
|
||
|
|
rsqrtss xmm1, xmm0 // 1/(x^.5)
|
||
|
|
|
||
|
|
// this does the Newton-Raphson iteration to get up
|
||
|
|
// to 22 bits of precision
|
||
|
|
movss xmm2, xmm0 // x
|
||
|
|
mulss xmm0, xmm1 // 9 * 1/sqr(9)
|
||
|
|
mulss xmm0, xmm1 // 9 * 1/sqr(9) * 1/sqr(9)
|
||
|
|
mulss xmm0, xmm1 // 9 * 1/sqr(9) * 1/sqr(9) * 1/sqr(9)
|
||
|
|
mulss xmm0, _m128const_am_0p5 // 1/2 * 9 * 1/sqr(9) * 1/sqr(9) * 1/sqr(9)
|
||
|
|
mulss xmm1, _m128const_am_1p5 // 3/2 * 1/sqr(9)
|
||
|
|
subss xmm1, xmm0 // 3/2 * 1/sqr(9) - 1/2 * 9 * 1/sqr(9) * 1/sqr(9) * 1/sqr(9)
|
||
|
|
mulss xmm1, xmm2 // x * 1/(x^.5)
|
||
|
|
movss x, xmm1
|
||
|
|
SQRTZERO:
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// sqrt
|
||
|
|
float fast_inversesqrt
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 61 cycles
|
||
|
|
return 1.0f / sqrtf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
// 35 cycles
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
rsqrtss xmm1, xmm0
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, _m128const_am_0p5
|
||
|
|
mulss xmm1, _m128const_am_3_over_2
|
||
|
|
subss xmm1, xmm0
|
||
|
|
movss x, xmm1
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// fabs
|
||
|
|
float fast_fabs
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 7 cycles
|
||
|
|
return fabsf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 6 cyles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
mov eax, x // starting with
|
||
|
|
and eax, 0x7fffffff // And out the sign bit
|
||
|
|
mov x, eax // result in x
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// sincos computes both sin and cos simultaneously.
|
||
|
|
void fast_sincos
|
||
|
|
(
|
||
|
|
float x,
|
||
|
|
SinCosPair* v
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 133 cycles
|
||
|
|
v->fCos = fast_cos(x);
|
||
|
|
v->fSin = fast_sin(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 68 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
andps xmm0, _m128const_am_inv_sign_mask
|
||
|
|
mulss xmm0, _m128const_am_2_over_pi
|
||
|
|
|
||
|
|
mov eax, x // sin
|
||
|
|
and eax, 0x80000000 // sin
|
||
|
|
|
||
|
|
movaps xmm4, xmm0 // sin
|
||
|
|
|
||
|
|
addss xmm0, _m128const_am_1
|
||
|
|
|
||
|
|
cvttss2si ecx, xmm0
|
||
|
|
cvttss2si esi, xmm4 // sin
|
||
|
|
|
||
|
|
mov edx, ecx
|
||
|
|
shl edx, (31 - 1)
|
||
|
|
|
||
|
|
mov edi, esi // sin
|
||
|
|
shl edi, (31 - 1) // sin
|
||
|
|
|
||
|
|
cvtsi2ss xmm1, ecx
|
||
|
|
and edx, 0x80000000
|
||
|
|
|
||
|
|
cvtsi2ss xmm5, esi // sin
|
||
|
|
and edi, 0x80000000 // sin
|
||
|
|
|
||
|
|
and ecx, 0x1
|
||
|
|
subss xmm0, xmm1
|
||
|
|
|
||
|
|
jz l_contcos
|
||
|
|
movss xmm1, _m128const_am_1
|
||
|
|
subss xmm1, xmm0
|
||
|
|
movss xmm0, xmm1
|
||
|
|
l_contcos:
|
||
|
|
|
||
|
|
and esi, 0x1 // sin
|
||
|
|
subss xmm4, xmm5 // sin
|
||
|
|
|
||
|
|
jz l_contsin // sin
|
||
|
|
movss xmm5, _m128const_am_1 // sin
|
||
|
|
subss xmm5, xmm4 // sin
|
||
|
|
movss xmm4, xmm5 // sin
|
||
|
|
l_contsin: // sin
|
||
|
|
|
||
|
|
mov ecx, v
|
||
|
|
|
||
|
|
movss xmm1, xmm0
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
|
||
|
|
movss xmm5, xmm4 // sin
|
||
|
|
mulss xmm4, xmm4 // sin
|
||
|
|
|
||
|
|
mov [ecx]v.fCos, edx
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm0, p3
|
||
|
|
|
||
|
|
xor eax, edi // sin
|
||
|
|
movss xmm6, xmm4 // sin
|
||
|
|
mulss xmm4, p3 // sin
|
||
|
|
|
||
|
|
addss xmm0, p2
|
||
|
|
|
||
|
|
mov [ecx]v.fSin, eax // sin
|
||
|
|
addss xmm4, p2 // sin
|
||
|
|
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
movss xmm3, [ecx]v.fCos
|
||
|
|
|
||
|
|
mulss xmm4, xmm6 // sin
|
||
|
|
movss xmm7, [ecx]v.fSin // sin
|
||
|
|
|
||
|
|
addss xmm0, p1
|
||
|
|
addss xmm4, p1 // sin
|
||
|
|
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
orps xmm1, xmm3
|
||
|
|
|
||
|
|
mulss xmm4, xmm6 // sin
|
||
|
|
orps xmm5, xmm7 // sin
|
||
|
|
|
||
|
|
addss xmm0, p0
|
||
|
|
addss xmm4, p0 // sin
|
||
|
|
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm4, xmm5 // sin
|
||
|
|
|
||
|
|
movss dword ptr [ecx]v.fCos, xmm0
|
||
|
|
movss dword ptr [ecx]v.fSin, xmm4
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// sin
|
||
|
|
float fast_sin
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 111 cycles
|
||
|
|
return sinf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 62 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
andps xmm0, _m128const_am_inv_sign_mask // xmm0 = abs(x)
|
||
|
|
mov eax, x // eax = x
|
||
|
|
mulss xmm0, _m128const_am_2_over_pi // xmm0 = abs(x) * 2/PI
|
||
|
|
and eax, 0x80000000 // eax = sign(x)
|
||
|
|
|
||
|
|
cvttss2si ecx, xmm0 // ecx = int(xmm0)
|
||
|
|
mov edx, ecx // edx = ecx
|
||
|
|
shl edx, (31 - 1) // edx = edx << 30
|
||
|
|
cvtsi2ss xmm1, ecx // xmm1 = ecx
|
||
|
|
and edx, 0x80000000 // edx = sign(edx)
|
||
|
|
|
||
|
|
and ecx, 0x1 // ecx = ecx & 0x1 (set ZF according to result)
|
||
|
|
subss xmm0, xmm1 // xmm0 = xmm0 - xmm1
|
||
|
|
|
||
|
|
jz l_cont // jump if 0 / ZF = 1
|
||
|
|
|
||
|
|
movss xmm1, _m128const_am_1 // xmm1 = 1
|
||
|
|
subss xmm1, xmm0 // xmm1 = xmm1 - xmm0
|
||
|
|
movss xmm0, xmm1 // xmm0 = xmm1
|
||
|
|
|
||
|
|
l_cont:
|
||
|
|
movss xmm1, xmm0 // xmm1 = xmm0
|
||
|
|
mulss xmm0, xmm0 // xmm0 = xmm0 * xmm0
|
||
|
|
xor eax, edx // eax = edx | eax
|
||
|
|
movss xmm2, xmm0 // xmm2 = xmm0
|
||
|
|
mulss xmm0, p3 // xmm0 = xmm0 * p3
|
||
|
|
mov x, eax // x = eax
|
||
|
|
addss xmm0, p2 // xmm0 = xmm0 + p2
|
||
|
|
mulss xmm0, xmm2 // xmm0 = xmm0 * xmm2
|
||
|
|
movss xmm3, x // xmm3 = x
|
||
|
|
addss xmm0, p1 // xmm0 = xmm0 + p1
|
||
|
|
mulss xmm0, xmm2 // xmm0 = xmm0 * xmm2
|
||
|
|
orps xmm1, xmm3 // xmm1 = xmm1 | xmm3
|
||
|
|
addss xmm0, p0 // xmm0 = xmm0 + p0
|
||
|
|
mulss xmm0, xmm1 // xmm0 = xmm0 * xmm1
|
||
|
|
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// cos
|
||
|
|
float fast_cos
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 97 cycles
|
||
|
|
return cosf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
|
||
|
|
// 68 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
andps xmm0, _m128const_am_inv_sign_mask // abs(x)
|
||
|
|
mulss xmm0, _m128const_am_2_over_pi // x * (2 / pi)
|
||
|
|
addss xmm0, _m128const_am_1 // x * (2 / pi) + 1
|
||
|
|
|
||
|
|
cvttss2si ecx, xmm0 // Trancate into ecx.
|
||
|
|
mov edx, ecx // Store ecx.
|
||
|
|
shl edx, (31 - 1) // Shift left 30 bits.
|
||
|
|
cvtsi2ss xmm1, ecx // Store ecx into xmm1.
|
||
|
|
and edx, 0x80000000 // Get sign bit.
|
||
|
|
|
||
|
|
and ecx, 0x1
|
||
|
|
subss xmm0, xmm1
|
||
|
|
|
||
|
|
jz l_cont
|
||
|
|
movss xmm1, _m128const_am_1
|
||
|
|
subss xmm1, xmm0
|
||
|
|
movss xmm0, xmm1
|
||
|
|
l_cont:
|
||
|
|
movss xmm1, xmm0
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
mov x, edx
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm0, p3
|
||
|
|
addss xmm0, p2
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
movss xmm3, x
|
||
|
|
addss xmm0, p1
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
orps xmm1, xmm3
|
||
|
|
addss xmm0, p0
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// fast_atan
|
||
|
|
float fast_tan
|
||
|
|
(
|
||
|
|
float x
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 148 cycles
|
||
|
|
return tanf(x);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 75 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
|
||
|
|
andps xmm0, _m128const_am_inv_sign_mask
|
||
|
|
mulss xmm0, _m128const_am_2_over_pi
|
||
|
|
movss xmm7, xmm0
|
||
|
|
addss xmm0, _m128const_am_1
|
||
|
|
|
||
|
|
cvttss2si ecx, xmm0
|
||
|
|
mov edx, ecx
|
||
|
|
shl edx, (31 - 1)
|
||
|
|
cvtsi2ss xmm1, ecx
|
||
|
|
and edx, 0x80000000
|
||
|
|
|
||
|
|
and ecx, 0x1
|
||
|
|
subss xmm0, xmm1
|
||
|
|
|
||
|
|
jz l_cont
|
||
|
|
movss xmm1, _m128const_am_1
|
||
|
|
subss xmm1, xmm0
|
||
|
|
movss xmm0, xmm1
|
||
|
|
l_cont:
|
||
|
|
mov eax, x
|
||
|
|
and eax, 0x80000000
|
||
|
|
|
||
|
|
cvttss2si ecx, xmm7
|
||
|
|
xor eax, edx
|
||
|
|
mov edx, ecx
|
||
|
|
shl edx, (31 - 1)
|
||
|
|
cvtsi2ss xmm3, ecx
|
||
|
|
and edx, 0x80000000
|
||
|
|
|
||
|
|
and ecx, 0x1
|
||
|
|
subss xmm7, xmm3
|
||
|
|
|
||
|
|
jz l_cont2
|
||
|
|
movss xmm3, _m128const_am_1
|
||
|
|
subss xmm3, xmm7
|
||
|
|
movss xmm7, xmm3
|
||
|
|
l_cont2:
|
||
|
|
movss xmm1, xmm0
|
||
|
|
movss xmm3, xmm7
|
||
|
|
movss xmm6, p3
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
mulss xmm7, xmm7
|
||
|
|
xor eax, edx
|
||
|
|
movss xmm2, xmm0
|
||
|
|
movss xmm4, xmm7
|
||
|
|
mulss xmm0, xmm6
|
||
|
|
mulss xmm7, xmm6
|
||
|
|
movss xmm6, p2
|
||
|
|
mov x, eax
|
||
|
|
addss xmm0, xmm6
|
||
|
|
addss xmm7, xmm6
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
movss xmm6, p1
|
||
|
|
mulss xmm7, xmm4
|
||
|
|
movss xmm5, x
|
||
|
|
addss xmm0, xmm6
|
||
|
|
addss xmm7, xmm6
|
||
|
|
mulss xmm0, xmm2
|
||
|
|
mulss xmm7, xmm4
|
||
|
|
movss xmm6, p0
|
||
|
|
orps xmm3, xmm5
|
||
|
|
addss xmm0, xmm6
|
||
|
|
addss xmm7, xmm6
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm7, xmm3
|
||
|
|
rcpss xmm0, xmm0
|
||
|
|
|
||
|
|
mulss xmm0, xmm7
|
||
|
|
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
//----------------------------------------------------------------------------
|
||
|
|
// pow
|
||
|
|
float fast_pow
|
||
|
|
(
|
||
|
|
float x,
|
||
|
|
float y
|
||
|
|
)
|
||
|
|
//--------------------------------------
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
|
||
|
|
// 303 cycles
|
||
|
|
return powf(x, y);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
// 133 cycles
|
||
|
|
__asm
|
||
|
|
{
|
||
|
|
movss xmm0, x
|
||
|
|
movss xmm1, y
|
||
|
|
|
||
|
|
xorps xmm7, xmm7
|
||
|
|
comiss xmm7, xmm0
|
||
|
|
movss xmm7, _m128const_am_inv_mant_mask
|
||
|
|
maxss xmm0, _m128const_am_min_pos_norm // Cut off denormalized stuff.
|
||
|
|
jnc l_zerobase
|
||
|
|
movss xmm3, _m128const_am_1
|
||
|
|
movss x, xmm0
|
||
|
|
|
||
|
|
andps xmm0, xmm7
|
||
|
|
orps xmm0, xmm3 // xmm3 == 1.0
|
||
|
|
comiss xmm0, pow_rsqrt2
|
||
|
|
movss xmm7, xmm0
|
||
|
|
|
||
|
|
jc l_lt // 'c' is 'lt' for comiss
|
||
|
|
//l_ge:
|
||
|
|
xor ecx, ecx
|
||
|
|
movss xmm2, xmm3 // xmm3 == 1.0
|
||
|
|
jmp l_continue
|
||
|
|
|
||
|
|
l_lt:
|
||
|
|
mov ecx, 1
|
||
|
|
movss xmm2, _m128const_am_0p5
|
||
|
|
|
||
|
|
l_continue:
|
||
|
|
addss xmm7, xmm2
|
||
|
|
subss xmm0, xmm2
|
||
|
|
mov edx, x
|
||
|
|
rcpss xmm7, xmm7
|
||
|
|
mulss xmm0, xmm7
|
||
|
|
addss xmm0, xmm0
|
||
|
|
|
||
|
|
shr edx, 23
|
||
|
|
|
||
|
|
movss xmm4, pow_p0
|
||
|
|
movss xmm6, pow_q0
|
||
|
|
|
||
|
|
sub edx, 0x7f
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
sub edx, ecx
|
||
|
|
movss xmm5, pow_p1
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
cvtsi2ss xmm3, edx
|
||
|
|
movss xmm7, pow_q1
|
||
|
|
|
||
|
|
addss xmm4, xmm5
|
||
|
|
mulss xmm3, xmm1
|
||
|
|
addss xmm6, xmm7
|
||
|
|
|
||
|
|
movss xmm5, pow_p2
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
movss xmm7, pow_q2
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
|
||
|
|
addss xmm4, xmm5
|
||
|
|
mulss xmm1, pow_c0
|
||
|
|
addss xmm6, xmm7
|
||
|
|
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
rcpss xmm6, xmm6
|
||
|
|
|
||
|
|
mulss xmm6, xmm0
|
||
|
|
movss xmm5, _m128const_am_0p5
|
||
|
|
mulss xmm4, xmm6
|
||
|
|
addss xmm0, xmm4
|
||
|
|
xorps xmm7, xmm7
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
|
||
|
|
addss xmm0, xmm3
|
||
|
|
|
||
|
|
maxss xmm0, pow_fmin
|
||
|
|
minss xmm0, pow_fmax
|
||
|
|
|
||
|
|
xor ecx, ecx
|
||
|
|
addss xmm5, xmm0
|
||
|
|
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm5, xmm7
|
||
|
|
cvttss2si eax, xmm5
|
||
|
|
cmovc ecx, edx // 'c' is 'lt' for comiss
|
||
|
|
sub eax, ecx
|
||
|
|
|
||
|
|
cvtsi2ss xmm5, eax
|
||
|
|
add eax, 0x7f
|
||
|
|
|
||
|
|
subss xmm0, xmm5
|
||
|
|
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
|
||
|
|
movss xmm6, pow_s0
|
||
|
|
movss xmm4, pow_r0
|
||
|
|
|
||
|
|
mulss xmm6, xmm2
|
||
|
|
movss xmm7, pow_s1
|
||
|
|
and eax, 0xff // Optional, just for sanity
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
movss xmm5, pow_r1
|
||
|
|
|
||
|
|
shl eax, 23
|
||
|
|
addss xmm6, xmm7
|
||
|
|
addss xmm4, xmm5
|
||
|
|
|
||
|
|
movss xmm5, pow_r2
|
||
|
|
mulss xmm4, xmm2
|
||
|
|
|
||
|
|
addss xmm4, xmm5
|
||
|
|
|
||
|
|
mulss xmm4, xmm0
|
||
|
|
|
||
|
|
mov x, eax
|
||
|
|
subss xmm6, xmm4
|
||
|
|
movss xmm7, _m128const_am_1
|
||
|
|
rcpss xmm6, xmm6
|
||
|
|
mulss xmm4, xmm6
|
||
|
|
movss xmm0, x
|
||
|
|
addss xmm4, xmm4
|
||
|
|
addss xmm4, xmm7
|
||
|
|
|
||
|
|
mulss xmm0, xmm4
|
||
|
|
|
||
|
|
jmp l_done
|
||
|
|
|
||
|
|
l_zerobase:
|
||
|
|
xorps xmm0, xmm0
|
||
|
|
|
||
|
|
l_done:
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
|
||
|
|
return x;
|
||
|
|
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_hypot( float x, float y )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return (float) _hypot( x, y );
|
||
|
|
#else
|
||
|
|
// 15.38x faster
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
movss xmm1, y
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
addss xmm0, xmm1
|
||
|
|
rsqrtss xmm1, xmm0
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, xmm1
|
||
|
|
mulss xmm0, _m128const_am_0p5
|
||
|
|
mulss xmm1, _m128const_am_3_over_2
|
||
|
|
subss xmm1, xmm0
|
||
|
|
mulss xmm1, xmm2
|
||
|
|
movss x, xmm1
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_ceil( float x )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return ceilf( x );
|
||
|
|
#else
|
||
|
|
// 2.01x faster
|
||
|
|
unsigned long m32;
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
stmxcsr m32
|
||
|
|
mov edx, m32
|
||
|
|
mov eax, 0ffff9fffh
|
||
|
|
and eax, edx
|
||
|
|
or eax, 4000h
|
||
|
|
mov m32, eax
|
||
|
|
ldmxcsr m32
|
||
|
|
cvtss2si eax, xmm0
|
||
|
|
cvtsi2ss xmm0, eax
|
||
|
|
mov m32, edx
|
||
|
|
ldmxcsr m32
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_floor( float x )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return floorf( x );
|
||
|
|
#else
|
||
|
|
// 1.99x faster
|
||
|
|
unsigned long m32;
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
stmxcsr m32
|
||
|
|
mov edx, m32
|
||
|
|
mov eax, 0ffff9fffh
|
||
|
|
and eax, edx
|
||
|
|
or eax, 2000h
|
||
|
|
mov m32, eax
|
||
|
|
ldmxcsr m32
|
||
|
|
cvtss2si eax, xmm0
|
||
|
|
cvtsi2ss xmm0, eax
|
||
|
|
mov m32, edx
|
||
|
|
ldmxcsr m32
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_tanh( float x )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return tanhf( x );
|
||
|
|
#else
|
||
|
|
// 3.26x faster
|
||
|
|
_asm {
|
||
|
|
mov eax, x
|
||
|
|
cmp eax, 0ba83126fh
|
||
|
|
ja rettanhm
|
||
|
|
cmp eax, 3a83126fh
|
||
|
|
ja rettanhp
|
||
|
|
|
||
|
|
movss xmm1, x
|
||
|
|
movss xmm0, th1
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
mulss xmm1, th3
|
||
|
|
subss xmm0, xmm1
|
||
|
|
mulss xmm0, x
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
_asm {
|
||
|
|
ALIGN 16
|
||
|
|
rettanhm:
|
||
|
|
movss xmm0, x
|
||
|
|
mulss xmm0, th2p
|
||
|
|
maxss xmm0, fmin
|
||
|
|
minss xmm0, fmax
|
||
|
|
movss xmm1, rln2
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
movss xmm6, _m128const_am_0
|
||
|
|
addss xmm1, _m128const_am_0p5
|
||
|
|
xor ecx, ecx
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm1, xmm6
|
||
|
|
cvttss2si eax, xmm1
|
||
|
|
cmovc ecx, edx
|
||
|
|
sub eax, ecx
|
||
|
|
cvtsi2ss xmm1, eax
|
||
|
|
add eax, 7fh
|
||
|
|
movss xmm2, xmm1
|
||
|
|
mulss xmm1, c1
|
||
|
|
and eax, 0ffh
|
||
|
|
mulss xmm2, c2
|
||
|
|
subss xmm0, xmm1
|
||
|
|
shl eax, 23
|
||
|
|
subss xmm0, xmm2
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mov x, eax
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
movss xmm5, q0
|
||
|
|
movss xmm3, p0exp
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
movss xmm6, q1
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
movss xmm4, p1exp
|
||
|
|
addss xmm5, xmm6
|
||
|
|
addss xmm3, xmm4
|
||
|
|
movss xmm6, q2
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
addss xmm5, xmm6
|
||
|
|
mulss xmm3, xmm0
|
||
|
|
movss xmm6, q3
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
addss xmm3, xmm0
|
||
|
|
addss xmm5, xmm6
|
||
|
|
movss xmm0, x
|
||
|
|
subss xmm5, xmm3
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
movss xmm6, _m128const_am_1
|
||
|
|
mulss xmm3, xmm5
|
||
|
|
addss xmm3, xmm3
|
||
|
|
addss xmm3, xmm6
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
addss xmm0, th1
|
||
|
|
rcpss xmm1, xmm0
|
||
|
|
movss xmm2, xmm1
|
||
|
|
addss xmm2, xmm2
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
subss xmm2, xmm1
|
||
|
|
mulss xmm2, th2p
|
||
|
|
movss xmm1, th1
|
||
|
|
subss xmm1, xmm2
|
||
|
|
movss x, xmm1
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
_asm {
|
||
|
|
ALIGN 16
|
||
|
|
rettanhp:
|
||
|
|
movss xmm0, x
|
||
|
|
mulss xmm0, th2m
|
||
|
|
maxss xmm0, fmin
|
||
|
|
minss xmm0, fmax
|
||
|
|
movss xmm1, rln2
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
movss xmm6, _m128const_am_0
|
||
|
|
addss xmm1, _m128const_am_0p5
|
||
|
|
xor ecx, ecx
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm1, xmm6
|
||
|
|
cvttss2si eax, xmm1
|
||
|
|
cmovc ecx, edx
|
||
|
|
sub eax, ecx
|
||
|
|
cvtsi2ss xmm1, eax
|
||
|
|
add eax, 7fh
|
||
|
|
movss xmm2, xmm1
|
||
|
|
mulss xmm1, c1
|
||
|
|
and eax, 0ffh
|
||
|
|
mulss xmm2, c2
|
||
|
|
subss xmm0, xmm1
|
||
|
|
shl eax, 23
|
||
|
|
subss xmm0, xmm2
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mov x, eax
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
movss xmm5, q0
|
||
|
|
movss xmm3, p0exp
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
movss xmm6, q1
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
movss xmm4, p1exp
|
||
|
|
addss xmm5, xmm6
|
||
|
|
addss xmm3, xmm4
|
||
|
|
movss xmm6, q2
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
addss xmm5, xmm6
|
||
|
|
mulss xmm3, xmm0
|
||
|
|
movss xmm6, q3
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
addss xmm3, xmm0
|
||
|
|
addss xmm5, xmm6
|
||
|
|
movss xmm0, x
|
||
|
|
subss xmm5, xmm3
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
movss xmm6, _m128const_am_1
|
||
|
|
mulss xmm3, xmm5
|
||
|
|
addss xmm3, xmm3
|
||
|
|
addss xmm3, xmm6
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
addss xmm0, th1
|
||
|
|
rcpss xmm1, xmm0
|
||
|
|
movss xmm2, xmm1
|
||
|
|
addss xmm2, xmm2
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
subss xmm2, xmm1
|
||
|
|
mulss xmm2, th2p
|
||
|
|
subss xmm2, th1
|
||
|
|
movss x, xmm2
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_cosh( float x )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return coshf( x );
|
||
|
|
#else
|
||
|
|
// 3.96x faster
|
||
|
|
|
||
|
|
_asm {
|
||
|
|
movss xmm0, x
|
||
|
|
maxss xmm0, fmin
|
||
|
|
minss xmm0, fmax
|
||
|
|
movss xmm1, rln2
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
movss xmm6, _m128const_am_0
|
||
|
|
addss xmm1, _m128const_am_0p5
|
||
|
|
xor ecx, ecx
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm1, xmm6
|
||
|
|
cvttss2si eax, xmm1
|
||
|
|
cmovc ecx, edx
|
||
|
|
sub eax, ecx
|
||
|
|
cvtsi2ss xmm1, eax
|
||
|
|
add eax, 7fh
|
||
|
|
movss xmm2, xmm1
|
||
|
|
mulss xmm1, c1
|
||
|
|
and eax, 0ffh
|
||
|
|
mulss xmm2, c2
|
||
|
|
subss xmm0, xmm1
|
||
|
|
shl eax, 23
|
||
|
|
subss xmm0, xmm2
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mov x, eax
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
movss xmm5, q0
|
||
|
|
movss xmm3, p0exp
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
movss xmm6, q1
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
movss xmm4, p1exp
|
||
|
|
addss xmm5, xmm6
|
||
|
|
addss xmm3, xmm4
|
||
|
|
movss xmm6, q2
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
addss xmm5, xmm6
|
||
|
|
mulss xmm3, xmm0
|
||
|
|
movss xmm6, q3
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
addss xmm3, xmm0
|
||
|
|
addss xmm5, xmm6
|
||
|
|
movss xmm0, x
|
||
|
|
subss xmm5, xmm3
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
movss xmm6, _m128const_am_1
|
||
|
|
mulss xmm3, xmm5
|
||
|
|
addss xmm3, xmm3
|
||
|
|
addss xmm3, xmm6
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
|
||
|
|
rcpss xmm1, xmm0
|
||
|
|
movss xmm2, xmm1
|
||
|
|
addss xmm2, xmm2
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
subss xmm2, xmm1
|
||
|
|
addss xmm0, xmm2
|
||
|
|
mulss xmm0, sh5
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|
||
|
|
|
||
|
|
float fast_sinh( float x )
|
||
|
|
{
|
||
|
|
#if defined(USE_C)
|
||
|
|
return sinhf( x );
|
||
|
|
#else
|
||
|
|
// 3.30x faster
|
||
|
|
|
||
|
|
_asm {
|
||
|
|
mov eax, x
|
||
|
|
and eax, 7fffffffh
|
||
|
|
cmp eax, 3a83126fh
|
||
|
|
jg culcsinh
|
||
|
|
movss xmm0, x
|
||
|
|
mulss xmm0, xmm0
|
||
|
|
mulss xmm0, sh6
|
||
|
|
addss xmm0, sh1
|
||
|
|
mulss xmm0, x
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
_asm {
|
||
|
|
ALIGN 16
|
||
|
|
culcsinh:
|
||
|
|
movss xmm0, x
|
||
|
|
maxss xmm0, fmin
|
||
|
|
minss xmm0, fmax
|
||
|
|
movss xmm1, rln2
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
movss xmm6, _m128const_am_0
|
||
|
|
addss xmm1, _m128const_am_0p5
|
||
|
|
xor ecx, ecx
|
||
|
|
mov edx, 1
|
||
|
|
comiss xmm1, xmm6
|
||
|
|
cvttss2si eax, xmm1
|
||
|
|
cmovc ecx, edx
|
||
|
|
sub eax, ecx
|
||
|
|
cvtsi2ss xmm1, eax
|
||
|
|
add eax, 7fh
|
||
|
|
movss xmm2, xmm1
|
||
|
|
mulss xmm1, c1
|
||
|
|
and eax, 0ffh
|
||
|
|
mulss xmm2, c2
|
||
|
|
subss xmm0, xmm1
|
||
|
|
shl eax, 23
|
||
|
|
subss xmm0, xmm2
|
||
|
|
movss xmm2, xmm0
|
||
|
|
mov x, eax
|
||
|
|
mulss xmm2, xmm2
|
||
|
|
movss xmm5, q0
|
||
|
|
movss xmm3, p0exp
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
movss xmm6, q1
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
movss xmm4, p1exp
|
||
|
|
addss xmm5, xmm6
|
||
|
|
addss xmm3, xmm4
|
||
|
|
movss xmm6, q2
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
mulss xmm3, xmm2
|
||
|
|
addss xmm5, xmm6
|
||
|
|
mulss xmm3, xmm0
|
||
|
|
movss xmm6, q3
|
||
|
|
mulss xmm5, xmm2
|
||
|
|
addss xmm3, xmm0
|
||
|
|
addss xmm5, xmm6
|
||
|
|
movss xmm0, x
|
||
|
|
subss xmm5, xmm3
|
||
|
|
rcpss xmm5, xmm5
|
||
|
|
movss xmm6, _m128const_am_1
|
||
|
|
mulss xmm3, xmm5
|
||
|
|
addss xmm3, xmm3
|
||
|
|
addss xmm3, xmm6
|
||
|
|
mulss xmm0, xmm3
|
||
|
|
|
||
|
|
rcpss xmm1, xmm0
|
||
|
|
movss xmm2, xmm1
|
||
|
|
addss xmm2, xmm2
|
||
|
|
mulss xmm1, xmm1
|
||
|
|
mulss xmm1, xmm0
|
||
|
|
subss xmm2, xmm1
|
||
|
|
subss xmm0, xmm2
|
||
|
|
mulss xmm0, sh5
|
||
|
|
movss x, xmm0
|
||
|
|
}
|
||
|
|
return x;
|
||
|
|
#endif // !USE_C
|
||
|
|
}
|