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468 lines
19 KiB
C++
468 lines
19 KiB
C++
// Copyright 2009-2021 Intel Corporation
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// SPDX-License-Identifier: Apache-2.0
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#pragma once
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#include "../sys/platform.h"
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#include "../sys/intrinsics.h"
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#include "constants.h"
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#include <cmath>
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#if defined(EMBREE_SYCL_SUPPORT) && defined(__SYCL_DEVICE_ONLY__)
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# include "math_sycl.h"
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#else
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#if defined(__ARM_NEON)
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#include "../simd/arm/emulation.h"
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#else
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#include <emmintrin.h>
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#include <xmmintrin.h>
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#include <immintrin.h>
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#endif
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#if defined(__WIN32__)
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#if defined(_MSC_VER) && (_MSC_VER <= 1700)
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namespace std
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{
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__forceinline bool isinf ( const float x ) { return _finite(x) == 0; }
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__forceinline bool isnan ( const float x ) { return _isnan(x) != 0; }
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__forceinline bool isfinite (const float x) { return _finite(x) != 0; }
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}
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#endif
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#endif
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namespace embree
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{
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__forceinline bool isvalid ( const float& v ) {
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return (v > -FLT_LARGE) & (v < +FLT_LARGE);
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}
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__forceinline int cast_f2i(float f) {
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union { float f; int i; } v; v.f = f; return v.i;
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}
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__forceinline float cast_i2f(int i) {
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union { float f; int i; } v; v.i = i; return v.f;
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}
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__forceinline int toInt (const float& a) { return int(a); }
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__forceinline float toFloat(const int& a) { return float(a); }
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__forceinline int asInt (const float& a) { return *((int*)&a); }
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__forceinline float asFloat(const int& a) { return *((float*)&a); }
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#if defined(__WIN32__)
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__forceinline bool finite ( const float x ) { return _finite(x) != 0; }
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#endif
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__forceinline float sign ( const float x ) { return x<0?-1.0f:1.0f; }
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__forceinline float sqr ( const float x ) { return x*x; }
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__forceinline float rcp ( const float x )
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{
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#if defined(__aarch64__)
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// Move scalar to vector register and do rcp.
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__m128 a;
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a[0] = x;
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float32x4_t reciprocal = vrecpeq_f32(a);
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reciprocal = vmulq_f32(vrecpsq_f32(a, reciprocal), reciprocal);
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reciprocal = vmulq_f32(vrecpsq_f32(a, reciprocal), reciprocal);
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return reciprocal[0];
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#else
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const __m128 a = _mm_set_ss(x);
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#if defined(__AVX512VL__)
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const __m128 r = _mm_rcp14_ss(_mm_set_ss(0.0f),a);
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#else
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const __m128 r = _mm_rcp_ss(a);
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#endif
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#if defined(__AVX2__)
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return _mm_cvtss_f32(_mm_mul_ss(r,_mm_fnmadd_ss(r, a, _mm_set_ss(2.0f))));
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#else
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return _mm_cvtss_f32(_mm_mul_ss(r,_mm_sub_ss(_mm_set_ss(2.0f), _mm_mul_ss(r, a))));
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#endif
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#endif //defined(__aarch64__)
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}
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__forceinline float signmsk ( const float x ) {
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#if defined(__aarch64__)
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// FP and Neon shares same vector register in arm64
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__m128 a;
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__m128i b;
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a[0] = x;
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b[0] = 0x80000000;
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a = _mm_and_ps(a, vreinterpretq_f32_s32(b));
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return a[0];
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#else
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return _mm_cvtss_f32(_mm_and_ps(_mm_set_ss(x),_mm_castsi128_ps(_mm_set1_epi32(0x80000000))));
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#endif
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}
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__forceinline float xorf( const float x, const float y ) {
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#if defined(__aarch64__)
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// FP and Neon shares same vector register in arm64
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__m128 a;
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__m128 b;
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a[0] = x;
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b[0] = y;
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a = _mm_xor_ps(a, b);
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return a[0];
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#else
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return _mm_cvtss_f32(_mm_xor_ps(_mm_set_ss(x),_mm_set_ss(y)));
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#endif
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}
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__forceinline float andf( const float x, const unsigned y ) {
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#if defined(__aarch64__)
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// FP and Neon shares same vector register in arm64
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__m128 a;
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__m128i b;
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a[0] = x;
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b[0] = y;
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a = _mm_and_ps(a, vreinterpretq_f32_s32(b));
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return a[0];
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#else
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return _mm_cvtss_f32(_mm_and_ps(_mm_set_ss(x),_mm_castsi128_ps(_mm_set1_epi32(y))));
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#endif
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}
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__forceinline float rsqrt( const float x )
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{
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#if defined(__aarch64__)
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// FP and Neon shares same vector register in arm64
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__m128 a;
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a[0] = x;
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__m128 value = _mm_rsqrt_ps(a);
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value = vmulq_f32(value, vrsqrtsq_f32(vmulq_f32(a, value), value));
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value = vmulq_f32(value, vrsqrtsq_f32(vmulq_f32(a, value), value));
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return value[0];
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#else
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const __m128 a = _mm_set_ss(x);
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#if defined(__AVX512VL__)
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__m128 r = _mm_rsqrt14_ss(_mm_set_ss(0.0f),a);
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#else
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__m128 r = _mm_rsqrt_ss(a);
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#endif
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const __m128 c = _mm_add_ss(_mm_mul_ss(_mm_set_ss(1.5f), r),
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_mm_mul_ss(_mm_mul_ss(_mm_mul_ss(a, _mm_set_ss(-0.5f)), r), _mm_mul_ss(r, r)));
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return _mm_cvtss_f32(c);
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#endif
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}
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#if defined(__WIN32__) && defined(_MSC_VER) && (_MSC_VER <= 1700)
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__forceinline float nextafter(float x, float y) { if ((x<y) == (x>0)) return x*(1.1f+float(ulp)); else return x*(0.9f-float(ulp)); }
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__forceinline double nextafter(double x, double y) { return _nextafter(x, y); }
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__forceinline int roundf(float f) { return (int)(f + 0.5f); }
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#else
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__forceinline float nextafter(float x, float y) { return ::nextafterf(x, y); }
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__forceinline double nextafter(double x, double y) { return ::nextafter(x, y); }
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#endif
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__forceinline float abs ( const float x ) { return ::fabsf(x); }
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__forceinline float acos ( const float x ) { return ::acosf (x); }
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__forceinline float asin ( const float x ) { return ::asinf (x); }
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__forceinline float atan ( const float x ) { return ::atanf (x); }
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__forceinline float atan2( const float y, const float x ) { return ::atan2f(y, x); }
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__forceinline float cos ( const float x ) { return ::cosf (x); }
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__forceinline float cosh ( const float x ) { return ::coshf (x); }
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__forceinline float exp ( const float x ) { return ::expf (x); }
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__forceinline float fmod ( const float x, const float y ) { return ::fmodf (x, y); }
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__forceinline float log ( const float x ) { return ::logf (x); }
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__forceinline float log10( const float x ) { return ::log10f(x); }
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__forceinline float pow ( const float x, const float y ) { return ::powf (x, y); }
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__forceinline float sin ( const float x ) { return ::sinf (x); }
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__forceinline float sinh ( const float x ) { return ::sinhf (x); }
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__forceinline float sqrt ( const float x ) { return ::sqrtf (x); }
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__forceinline float tan ( const float x ) { return ::tanf (x); }
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__forceinline float tanh ( const float x ) { return ::tanhf (x); }
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__forceinline float floor( const float x ) { return ::floorf (x); }
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__forceinline float ceil ( const float x ) { return ::ceilf (x); }
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__forceinline float frac ( const float x ) { return x-floor(x); }
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__forceinline double abs ( const double x ) { return ::fabs(x); }
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__forceinline double sign ( const double x ) { return x<0?-1.0:1.0; }
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__forceinline double acos ( const double x ) { return ::acos (x); }
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__forceinline double asin ( const double x ) { return ::asin (x); }
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__forceinline double atan ( const double x ) { return ::atan (x); }
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__forceinline double atan2( const double y, const double x ) { return ::atan2(y, x); }
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__forceinline double cos ( const double x ) { return ::cos (x); }
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__forceinline double cosh ( const double x ) { return ::cosh (x); }
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__forceinline double exp ( const double x ) { return ::exp (x); }
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__forceinline double fmod ( const double x, const double y ) { return ::fmod (x, y); }
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__forceinline double log ( const double x ) { return ::log (x); }
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__forceinline double log10( const double x ) { return ::log10(x); }
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__forceinline double pow ( const double x, const double y ) { return ::pow (x, y); }
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__forceinline double rcp ( const double x ) { return 1.0/x; }
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__forceinline double rsqrt( const double x ) { return 1.0/::sqrt(x); }
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__forceinline double sin ( const double x ) { return ::sin (x); }
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__forceinline double sinh ( const double x ) { return ::sinh (x); }
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__forceinline double sqr ( const double x ) { return x*x; }
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__forceinline double sqrt ( const double x ) { return ::sqrt (x); }
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__forceinline double tan ( const double x ) { return ::tan (x); }
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__forceinline double tanh ( const double x ) { return ::tanh (x); }
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__forceinline double floor( const double x ) { return ::floor (x); }
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__forceinline double ceil ( const double x ) { return ::ceil (x); }
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#if defined(__aarch64__)
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__forceinline float mini(float a, float b) {
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// FP and Neon shares same vector register in arm64
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__m128 x;
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__m128 y;
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x[0] = a;
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y[0] = b;
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x = _mm_min_ps(x, y);
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return x[0];
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}
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#elif defined(__SSE4_1__)
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__forceinline float mini(float a, float b) {
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const __m128i ai = _mm_castps_si128(_mm_set_ss(a));
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const __m128i bi = _mm_castps_si128(_mm_set_ss(b));
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const __m128i ci = _mm_min_epi32(ai,bi);
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return _mm_cvtss_f32(_mm_castsi128_ps(ci));
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}
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#endif
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#if defined(__aarch64__)
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__forceinline float maxi(float a, float b) {
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// FP and Neon shares same vector register in arm64
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__m128 x;
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__m128 y;
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x[0] = a;
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y[0] = b;
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x = _mm_max_ps(x, y);
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return x[0];
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}
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#elif defined(__SSE4_1__)
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__forceinline float maxi(float a, float b) {
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const __m128i ai = _mm_castps_si128(_mm_set_ss(a));
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const __m128i bi = _mm_castps_si128(_mm_set_ss(b));
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const __m128i ci = _mm_max_epi32(ai,bi);
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return _mm_cvtss_f32(_mm_castsi128_ps(ci));
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}
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#endif
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template<typename T>
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__forceinline T twice(const T& a) { return a+a; }
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__forceinline int min(int a, int b) { return a<b ? a:b; }
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__forceinline unsigned min(unsigned a, unsigned b) { return a<b ? a:b; }
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__forceinline int64_t min(int64_t a, int64_t b) { return a<b ? a:b; }
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__forceinline float min(float a, float b) { return a<b ? a:b; }
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__forceinline double min(double a, double b) { return a<b ? a:b; }
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#if defined(__64BIT__) || defined(__EMSCRIPTEN__)
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__forceinline size_t min(size_t a, size_t b) { return a<b ? a:b; }
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#endif
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#if defined(__EMSCRIPTEN__)
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__forceinline long min(long a, long b) { return a<b ? a:b; }
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#endif
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template<typename T> __forceinline T min(const T& a, const T& b, const T& c) { return min(min(a,b),c); }
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template<typename T> __forceinline T min(const T& a, const T& b, const T& c, const T& d) { return min(min(a,b),min(c,d)); }
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template<typename T> __forceinline T min(const T& a, const T& b, const T& c, const T& d, const T& e) { return min(min(min(a,b),min(c,d)),e); }
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template<typename T> __forceinline T mini(const T& a, const T& b, const T& c) { return mini(mini(a,b),c); }
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template<typename T> __forceinline T mini(const T& a, const T& b, const T& c, const T& d) { return mini(mini(a,b),mini(c,d)); }
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template<typename T> __forceinline T mini(const T& a, const T& b, const T& c, const T& d, const T& e) { return mini(mini(mini(a,b),mini(c,d)),e); }
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__forceinline int max(int a, int b) { return a<b ? b:a; }
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__forceinline unsigned max(unsigned a, unsigned b) { return a<b ? b:a; }
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__forceinline int64_t max(int64_t a, int64_t b) { return a<b ? b:a; }
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__forceinline float max(float a, float b) { return a<b ? b:a; }
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__forceinline double max(double a, double b) { return a<b ? b:a; }
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#if defined(__64BIT__) || defined(__EMSCRIPTEN__)
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__forceinline size_t max(size_t a, size_t b) { return a<b ? b:a; }
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#endif
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#if defined(__EMSCRIPTEN__)
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__forceinline long max(long a, long b) { return a<b ? b:a; }
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#endif
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template<typename T> __forceinline T max(const T& a, const T& b, const T& c) { return max(max(a,b),c); }
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template<typename T> __forceinline T max(const T& a, const T& b, const T& c, const T& d) { return max(max(a,b),max(c,d)); }
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template<typename T> __forceinline T max(const T& a, const T& b, const T& c, const T& d, const T& e) { return max(max(max(a,b),max(c,d)),e); }
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template<typename T> __forceinline T maxi(const T& a, const T& b, const T& c) { return maxi(maxi(a,b),c); }
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template<typename T> __forceinline T maxi(const T& a, const T& b, const T& c, const T& d) { return maxi(maxi(a,b),maxi(c,d)); }
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template<typename T> __forceinline T maxi(const T& a, const T& b, const T& c, const T& d, const T& e) { return maxi(maxi(maxi(a,b),maxi(c,d)),e); }
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#if defined(__MACOSX__)
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__forceinline ssize_t min(ssize_t a, ssize_t b) { return a<b ? a:b; }
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__forceinline ssize_t max(ssize_t a, ssize_t b) { return a<b ? b:a; }
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#endif
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#if defined(__MACOSX__) && !defined(__INTEL_COMPILER)
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__forceinline void sincosf(float x, float *sin, float *cos) {
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__sincosf(x,sin,cos);
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}
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#endif
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#if defined(__WIN32__) || defined(__FreeBSD__)
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__forceinline void sincosf(float x, float *s, float *c) {
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*s = sinf(x); *c = cosf(x);
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}
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#endif
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template<typename T> __forceinline T clamp(const T& x, const T& lower = T(zero), const T& upper = T(one)) { return max(min(x,upper),lower); }
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template<typename T> __forceinline T clampz(const T& x, const T& upper) { return max(T(zero), min(x,upper)); }
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template<typename T> __forceinline T deg2rad ( const T& x ) { return x * T(1.74532925199432957692e-2f); }
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template<typename T> __forceinline T rad2deg ( const T& x ) { return x * T(5.72957795130823208768e1f); }
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template<typename T> __forceinline T sin2cos ( const T& x ) { return sqrt(max(T(zero),T(one)-x*x)); }
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template<typename T> __forceinline T cos2sin ( const T& x ) { return sin2cos(x); }
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#if defined(__AVX2__)
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__forceinline float madd ( const float a, const float b, const float c) { return _mm_cvtss_f32(_mm_fmadd_ss(_mm_set_ss(a),_mm_set_ss(b),_mm_set_ss(c))); }
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__forceinline float msub ( const float a, const float b, const float c) { return _mm_cvtss_f32(_mm_fmsub_ss(_mm_set_ss(a),_mm_set_ss(b),_mm_set_ss(c))); }
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__forceinline float nmadd ( const float a, const float b, const float c) { return _mm_cvtss_f32(_mm_fnmadd_ss(_mm_set_ss(a),_mm_set_ss(b),_mm_set_ss(c))); }
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__forceinline float nmsub ( const float a, const float b, const float c) { return _mm_cvtss_f32(_mm_fnmsub_ss(_mm_set_ss(a),_mm_set_ss(b),_mm_set_ss(c))); }
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#elif defined (__aarch64__) && defined(__clang__)
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#pragma clang fp contract(fast)
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__forceinline float madd ( const float a, const float b, const float c) { return a*b + c; }
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__forceinline float msub ( const float a, const float b, const float c) { return a*b - c; }
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__forceinline float nmadd ( const float a, const float b, const float c) { return c - a*b; }
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__forceinline float nmsub ( const float a, const float b, const float c) { return -(c + a*b); }
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#pragma clang fp contract(on)
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#else
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__forceinline float madd ( const float a, const float b, const float c) { return a*b+c; }
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__forceinline float msub ( const float a, const float b, const float c) { return a*b-c; }
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__forceinline float nmadd ( const float a, const float b, const float c) { return -a*b+c;}
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__forceinline float nmsub ( const float a, const float b, const float c) { return -a*b-c; }
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#endif
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/*! random functions */
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template<typename T> T random() { return T(0); }
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#if defined(_WIN32)
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template<> __forceinline int random() { return int(rand()) ^ (int(rand()) << 8) ^ (int(rand()) << 16); }
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template<> __forceinline uint32_t random() { return uint32_t(rand()) ^ (uint32_t(rand()) << 8) ^ (uint32_t(rand()) << 16); }
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#else
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template<> __forceinline int random() { return int(rand()); }
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template<> __forceinline uint32_t random() { return uint32_t(rand()) ^ (uint32_t(rand()) << 16); }
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#endif
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template<> __forceinline float random() { return rand()/float(RAND_MAX); }
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template<> __forceinline double random() { return rand()/double(RAND_MAX); }
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#if _WIN32
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__forceinline double drand48() {
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return double(rand())/double(RAND_MAX);
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}
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__forceinline void srand48(long seed) {
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return srand(seed);
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}
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#endif
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/*! selects */
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__forceinline bool select(bool s, bool t , bool f) { return s ? t : f; }
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__forceinline int select(bool s, int t, int f) { return s ? t : f; }
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__forceinline float select(bool s, float t, float f) { return s ? t : f; }
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__forceinline bool none(bool s) { return !s; }
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__forceinline bool all (bool s) { return s; }
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__forceinline bool any (bool s) { return s; }
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__forceinline unsigned movemask (bool s) { return (unsigned)s; }
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|
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__forceinline float lerp(const float v0, const float v1, const float t) {
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return madd(1.0f-t,v0,t*v1);
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}
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|
|
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template<typename T>
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__forceinline T lerp2(const float x0, const float x1, const float x2, const float x3, const T& u, const T& v) {
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return madd((1.0f-u),madd((1.0f-v),T(x0),v*T(x2)),u*madd((1.0f-v),T(x1),v*T(x3)));
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}
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|
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/*! exchange */
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template<typename T> __forceinline void xchg ( T& a, T& b ) { const T tmp = a; a = b; b = tmp; }
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|
|
|
/* load/store */
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template<typename Ty> struct mem;
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|
|
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template<> struct mem<float> {
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static __forceinline float load (bool mask, const void* ptr) { return mask ? *(float*)ptr : 0.0f; }
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static __forceinline float loadu(bool mask, const void* ptr) { return mask ? *(float*)ptr : 0.0f; }
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|
|
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static __forceinline void store (bool mask, void* ptr, const float v) { if (mask) *(float*)ptr = v; }
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static __forceinline void storeu(bool mask, void* ptr, const float v) { if (mask) *(float*)ptr = v; }
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|
};
|
|
|
|
/*! bit reverse operation */
|
|
template<class T>
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|
__forceinline T bitReverse(const T& vin)
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|
{
|
|
T v = vin;
|
|
v = ((v >> 1) & 0x55555555) | ((v & 0x55555555) << 1);
|
|
v = ((v >> 2) & 0x33333333) | ((v & 0x33333333) << 2);
|
|
v = ((v >> 4) & 0x0F0F0F0F) | ((v & 0x0F0F0F0F) << 4);
|
|
v = ((v >> 8) & 0x00FF00FF) | ((v & 0x00FF00FF) << 8);
|
|
v = ( v >> 16 ) | ( v << 16);
|
|
return v;
|
|
}
|
|
|
|
/*! bit interleave operation */
|
|
template<class T>
|
|
__forceinline T bitInterleave(const T& xin, const T& yin, const T& zin)
|
|
{
|
|
T x = xin, y = yin, z = zin;
|
|
x = (x | (x << 16)) & 0x030000FF;
|
|
x = (x | (x << 8)) & 0x0300F00F;
|
|
x = (x | (x << 4)) & 0x030C30C3;
|
|
x = (x | (x << 2)) & 0x09249249;
|
|
|
|
y = (y | (y << 16)) & 0x030000FF;
|
|
y = (y | (y << 8)) & 0x0300F00F;
|
|
y = (y | (y << 4)) & 0x030C30C3;
|
|
y = (y | (y << 2)) & 0x09249249;
|
|
|
|
z = (z | (z << 16)) & 0x030000FF;
|
|
z = (z | (z << 8)) & 0x0300F00F;
|
|
z = (z | (z << 4)) & 0x030C30C3;
|
|
z = (z | (z << 2)) & 0x09249249;
|
|
|
|
return x | (y << 1) | (z << 2);
|
|
}
|
|
|
|
#if defined(__AVX2__) && !defined(__aarch64__)
|
|
|
|
template<>
|
|
__forceinline unsigned int bitInterleave(const unsigned int &xi, const unsigned int& yi, const unsigned int& zi)
|
|
{
|
|
const unsigned int xx = pdep(xi,0x49249249 /* 0b01001001001001001001001001001001 */ );
|
|
const unsigned int yy = pdep(yi,0x92492492 /* 0b10010010010010010010010010010010 */);
|
|
const unsigned int zz = pdep(zi,0x24924924 /* 0b00100100100100100100100100100100 */);
|
|
return xx | yy | zz;
|
|
}
|
|
|
|
#endif
|
|
|
|
/*! bit interleave operation for 64bit data types*/
|
|
template<class T>
|
|
__forceinline T bitInterleave64(const T& xin, const T& yin, const T& zin){
|
|
T x = xin & 0x1fffff;
|
|
T y = yin & 0x1fffff;
|
|
T z = zin & 0x1fffff;
|
|
|
|
x = (x | x << 32) & 0x1f00000000ffff;
|
|
x = (x | x << 16) & 0x1f0000ff0000ff;
|
|
x = (x | x << 8) & 0x100f00f00f00f00f;
|
|
x = (x | x << 4) & 0x10c30c30c30c30c3;
|
|
x = (x | x << 2) & 0x1249249249249249;
|
|
|
|
y = (y | y << 32) & 0x1f00000000ffff;
|
|
y = (y | y << 16) & 0x1f0000ff0000ff;
|
|
y = (y | y << 8) & 0x100f00f00f00f00f;
|
|
y = (y | y << 4) & 0x10c30c30c30c30c3;
|
|
y = (y | y << 2) & 0x1249249249249249;
|
|
|
|
z = (z | z << 32) & 0x1f00000000ffff;
|
|
z = (z | z << 16) & 0x1f0000ff0000ff;
|
|
z = (z | z << 8) & 0x100f00f00f00f00f;
|
|
z = (z | z << 4) & 0x10c30c30c30c30c3;
|
|
z = (z | z << 2) & 0x1249249249249249;
|
|
|
|
return x | (y << 1) | (z << 2);
|
|
}
|
|
}
|
|
|
|
#endif
|