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-rw-r--r--thirdparty/embree/common/math/math.h369
1 files changed, 369 insertions, 0 deletions
diff --git a/thirdparty/embree/common/math/math.h b/thirdparty/embree/common/math/math.h
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+++ b/thirdparty/embree/common/math/math.h
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+// Copyright 2009-2021 Intel Corporation
+// SPDX-License-Identifier: Apache-2.0
+
+#pragma once
+
+#include "../sys/platform.h"
+#include "../sys/intrinsics.h"
+#include "constants.h"
+#include <cmath>
+
+#if defined(__ARM_NEON)
+#include "../simd/arm/emulation.h"
+#else
+#include <emmintrin.h>
+#include <xmmintrin.h>
+#include <immintrin.h>
+#endif
+
+#if defined(__WIN32__)
+#if defined(_MSC_VER) && (_MSC_VER <= 1700)
+namespace std
+{
+ __forceinline bool isinf ( const float x ) { return _finite(x) == 0; }
+ __forceinline bool isnan ( const float x ) { return _isnan(x) != 0; }
+ __forceinline bool isfinite (const float x) { return _finite(x) != 0; }
+}
+#endif
+#endif
+
+namespace embree
+{
+ __forceinline bool isvalid ( const float& v ) {
+ return (v > -FLT_LARGE) & (v < +FLT_LARGE);
+ }
+
+ __forceinline int cast_f2i(float f) {
+ union { float f; int i; } v; v.f = f; return v.i;
+ }
+
+ __forceinline float cast_i2f(int i) {
+ union { float f; int i; } v; v.i = i; return v.f;
+ }
+
+ __forceinline int toInt (const float& a) { return int(a); }
+ __forceinline float toFloat(const int& a) { return float(a); }
+
+#if defined(__WIN32__)
+ __forceinline bool finite ( const float x ) { return _finite(x) != 0; }
+#endif
+
+ __forceinline float sign ( const float x ) { return x<0?-1.0f:1.0f; }
+ __forceinline float sqr ( const float x ) { return x*x; }
+
+ __forceinline float rcp ( const float x )
+ {
+ const __m128 a = _mm_set_ss(x);
+
+#if defined(__AVX512VL__)
+ const __m128 r = _mm_rcp14_ss(_mm_set_ss(0.0f),a);
+#else
+ const __m128 r = _mm_rcp_ss(a);
+#endif
+
+#if defined(__AVX2__)
+ return _mm_cvtss_f32(_mm_mul_ss(r,_mm_fnmadd_ss(r, a, _mm_set_ss(2.0f))));
+#else
+ return _mm_cvtss_f32(_mm_mul_ss(r,_mm_sub_ss(_mm_set_ss(2.0f), _mm_mul_ss(r, a))));
+#endif
+ }
+
+ __forceinline float signmsk ( const float x ) {
+ return _mm_cvtss_f32(_mm_and_ps(_mm_set_ss(x),_mm_castsi128_ps(_mm_set1_epi32(0x80000000))));
+ }
+ __forceinline float xorf( const float x, const float y ) {
+ return _mm_cvtss_f32(_mm_xor_ps(_mm_set_ss(x),_mm_set_ss(y)));
+ }
+ __forceinline float andf( const float x, const unsigned y ) {
+ return _mm_cvtss_f32(_mm_and_ps(_mm_set_ss(x),_mm_castsi128_ps(_mm_set1_epi32(y))));
+ }
+ __forceinline float rsqrt( const float x )
+ {
+ const __m128 a = _mm_set_ss(x);
+#if defined(__AVX512VL__)
+ __m128 r = _mm_rsqrt14_ss(_mm_set_ss(0.0f),a);
+#else
+ __m128 r = _mm_rsqrt_ss(a);
+#endif
+ r = _mm_add_ss(_mm_mul_ss(_mm_set_ss(1.5f), r), _mm_mul_ss(_mm_mul_ss(_mm_mul_ss(a, _mm_set_ss(-0.5f)), r), _mm_mul_ss(r, r)));
+#if defined(__ARM_NEON)
+ r = _mm_add_ss(_mm_mul_ss(_mm_set_ss(1.5f), r), _mm_mul_ss(_mm_mul_ss(_mm_mul_ss(a, _mm_set_ss(-0.5f)), r), _mm_mul_ss(r, r)));
+#endif
+ return _mm_cvtss_f32(r);
+ }
+
+#if defined(__WIN32__) && defined(_MSC_VER) && (_MSC_VER <= 1700)
+ __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)); }
+ __forceinline double nextafter(double x, double y) { return _nextafter(x, y); }
+ __forceinline int roundf(float f) { return (int)(f + 0.5f); }
+#else
+ __forceinline float nextafter(float x, float y) { return ::nextafterf(x, y); }
+ __forceinline double nextafter(double x, double y) { return ::nextafter(x, y); }
+#endif
+
+ __forceinline float abs ( const float x ) { return ::fabsf(x); }
+ __forceinline float acos ( const float x ) { return ::acosf (x); }
+ __forceinline float asin ( const float x ) { return ::asinf (x); }
+ __forceinline float atan ( const float x ) { return ::atanf (x); }
+ __forceinline float atan2( const float y, const float x ) { return ::atan2f(y, x); }
+ __forceinline float cos ( const float x ) { return ::cosf (x); }
+ __forceinline float cosh ( const float x ) { return ::coshf (x); }
+ __forceinline float exp ( const float x ) { return ::expf (x); }
+ __forceinline float fmod ( const float x, const float y ) { return ::fmodf (x, y); }
+ __forceinline float log ( const float x ) { return ::logf (x); }
+ __forceinline float log10( const float x ) { return ::log10f(x); }
+ __forceinline float pow ( const float x, const float y ) { return ::powf (x, y); }
+ __forceinline float sin ( const float x ) { return ::sinf (x); }
+ __forceinline float sinh ( const float x ) { return ::sinhf (x); }
+ __forceinline float sqrt ( const float x ) { return ::sqrtf (x); }
+ __forceinline float tan ( const float x ) { return ::tanf (x); }
+ __forceinline float tanh ( const float x ) { return ::tanhf (x); }
+ __forceinline float floor( const float x ) { return ::floorf (x); }
+ __forceinline float ceil ( const float x ) { return ::ceilf (x); }
+ __forceinline float frac ( const float x ) { return x-floor(x); }
+
+ __forceinline double abs ( const double x ) { return ::fabs(x); }
+ __forceinline double sign ( const double x ) { return x<0?-1.0:1.0; }
+ __forceinline double acos ( const double x ) { return ::acos (x); }
+ __forceinline double asin ( const double x ) { return ::asin (x); }
+ __forceinline double atan ( const double x ) { return ::atan (x); }
+ __forceinline double atan2( const double y, const double x ) { return ::atan2(y, x); }
+ __forceinline double cos ( const double x ) { return ::cos (x); }
+ __forceinline double cosh ( const double x ) { return ::cosh (x); }
+ __forceinline double exp ( const double x ) { return ::exp (x); }
+ __forceinline double fmod ( const double x, const double y ) { return ::fmod (x, y); }
+ __forceinline double log ( const double x ) { return ::log (x); }
+ __forceinline double log10( const double x ) { return ::log10(x); }
+ __forceinline double pow ( const double x, const double y ) { return ::pow (x, y); }
+ __forceinline double rcp ( const double x ) { return 1.0/x; }
+ __forceinline double rsqrt( const double x ) { return 1.0/::sqrt(x); }
+ __forceinline double sin ( const double x ) { return ::sin (x); }
+ __forceinline double sinh ( const double x ) { return ::sinh (x); }
+ __forceinline double sqr ( const double x ) { return x*x; }
+ __forceinline double sqrt ( const double x ) { return ::sqrt (x); }
+ __forceinline double tan ( const double x ) { return ::tan (x); }
+ __forceinline double tanh ( const double x ) { return ::tanh (x); }
+ __forceinline double floor( const double x ) { return ::floor (x); }
+ __forceinline double ceil ( const double x ) { return ::ceil (x); }
+
+#if defined(__SSE4_1__)
+ __forceinline float mini(float a, float b) {
+ const __m128i ai = _mm_castps_si128(_mm_set_ss(a));
+ const __m128i bi = _mm_castps_si128(_mm_set_ss(b));
+ const __m128i ci = _mm_min_epi32(ai,bi);
+ return _mm_cvtss_f32(_mm_castsi128_ps(ci));
+ }
+#endif
+
+#if defined(__SSE4_1__)
+ __forceinline float maxi(float a, float b) {
+ const __m128i ai = _mm_castps_si128(_mm_set_ss(a));
+ const __m128i bi = _mm_castps_si128(_mm_set_ss(b));
+ const __m128i ci = _mm_max_epi32(ai,bi);
+ return _mm_cvtss_f32(_mm_castsi128_ps(ci));
+ }
+#endif
+
+ template<typename T>
+ __forceinline T twice(const T& a) { return a+a; }
+
+ __forceinline int min(int a, int b) { return a<b ? a:b; }
+ __forceinline unsigned min(unsigned a, unsigned b) { return a<b ? a:b; }
+ __forceinline int64_t min(int64_t a, int64_t b) { return a<b ? a:b; }
+ __forceinline float min(float a, float b) { return a<b ? a:b; }
+ __forceinline double min(double a, double b) { return a<b ? a:b; }
+#if defined(__64BIT__)
+ __forceinline size_t min(size_t a, size_t b) { return a<b ? a:b; }
+#endif
+
+ template<typename T> __forceinline T min(const T& a, const T& b, const T& c) { return min(min(a,b),c); }
+ 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)); }
+ 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); }
+
+ template<typename T> __forceinline T mini(const T& a, const T& b, const T& c) { return mini(mini(a,b),c); }
+ 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)); }
+ 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); }
+
+ __forceinline int max(int a, int b) { return a<b ? b:a; }
+ __forceinline unsigned max(unsigned a, unsigned b) { return a<b ? b:a; }
+ __forceinline int64_t max(int64_t a, int64_t b) { return a<b ? b:a; }
+ __forceinline float max(float a, float b) { return a<b ? b:a; }
+ __forceinline double max(double a, double b) { return a<b ? b:a; }
+#if defined(__64BIT__)
+ __forceinline size_t max(size_t a, size_t b) { return a<b ? b:a; }
+#endif
+
+ template<typename T> __forceinline T max(const T& a, const T& b, const T& c) { return max(max(a,b),c); }
+ 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)); }
+ 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); }
+
+ template<typename T> __forceinline T maxi(const T& a, const T& b, const T& c) { return maxi(maxi(a,b),c); }
+ 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)); }
+ 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); }
+
+#if defined(__MACOSX__)
+ __forceinline ssize_t min(ssize_t a, ssize_t b) { return a<b ? a:b; }
+ __forceinline ssize_t max(ssize_t a, ssize_t b) { return a<b ? b:a; }
+#endif
+
+#if defined(__MACOSX__) && !defined(__INTEL_COMPILER)
+ __forceinline void sincosf(float x, float *sin, float *cos) {
+ __sincosf(x,sin,cos);
+ }
+#endif
+
+#if defined(__WIN32__) || defined(__FreeBSD__)
+ __forceinline void sincosf(float x, float *s, float *c) {
+ *s = sinf(x); *c = cosf(x);
+ }
+#endif
+
+ 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); }
+ template<typename T> __forceinline T clampz(const T& x, const T& upper) { return max(T(zero), min(x,upper)); }
+
+ template<typename T> __forceinline T deg2rad ( const T& x ) { return x * T(1.74532925199432957692e-2f); }
+ template<typename T> __forceinline T rad2deg ( const T& x ) { return x * T(5.72957795130823208768e1f); }
+ template<typename T> __forceinline T sin2cos ( const T& x ) { return sqrt(max(T(zero),T(one)-x*x)); }
+ template<typename T> __forceinline T cos2sin ( const T& x ) { return sin2cos(x); }
+
+#if defined(__AVX2__)
+ __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))); }
+ __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))); }
+ __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))); }
+ __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))); }
+#else
+ __forceinline float madd ( const float a, const float b, const float c) { return a*b+c; }
+ __forceinline float msub ( const float a, const float b, const float c) { return a*b-c; }
+ __forceinline float nmadd ( const float a, const float b, const float c) { return -a*b+c;}
+ __forceinline float nmsub ( const float a, const float b, const float c) { return -a*b-c; }
+#endif
+
+ /*! random functions */
+ template<typename T> T random() { return T(0); }
+#if defined(_WIN32)
+ template<> __forceinline int random() { return int(rand()) ^ (int(rand()) << 8) ^ (int(rand()) << 16); }
+ template<> __forceinline uint32_t random() { return uint32_t(rand()) ^ (uint32_t(rand()) << 8) ^ (uint32_t(rand()) << 16); }
+#else
+ template<> __forceinline int random() { return int(rand()); }
+ template<> __forceinline uint32_t random() { return uint32_t(rand()) ^ (uint32_t(rand()) << 16); }
+#endif
+ template<> __forceinline float random() { return rand()/float(RAND_MAX); }
+ template<> __forceinline double random() { return rand()/double(RAND_MAX); }
+
+#if _WIN32
+ __forceinline double drand48() {
+ return double(rand())/double(RAND_MAX);
+ }
+
+ __forceinline void srand48(long seed) {
+ return srand(seed);
+ }
+#endif
+
+ /*! selects */
+ __forceinline bool select(bool s, bool t , bool f) { return s ? t : f; }
+ __forceinline int select(bool s, int t, int f) { return s ? t : f; }
+ __forceinline float select(bool s, float t, float f) { return s ? t : f; }
+
+ __forceinline bool all(bool s) { return s; }
+
+ __forceinline float lerp(const float v0, const float v1, const float t) {
+ return madd(1.0f-t,v0,t*v1);
+ }
+
+ template<typename T>
+ __forceinline T lerp2(const float x0, const float x1, const float x2, const float x3, const T& u, const T& v) {
+ return madd((1.0f-u),madd((1.0f-v),T(x0),v*T(x2)),u*madd((1.0f-v),T(x1),v*T(x3)));
+ }
+
+ /*! exchange */
+ template<typename T> __forceinline void xchg ( T& a, T& b ) { const T tmp = a; a = b; b = tmp; }
+
+ /* load/store */
+ template<typename Ty> struct mem;
+
+ template<> struct mem<float> {
+ static __forceinline float load (bool mask, const void* ptr) { return mask ? *(float*)ptr : 0.0f; }
+ static __forceinline float loadu(bool mask, const void* ptr) { return mask ? *(float*)ptr : 0.0f; }
+
+ static __forceinline void store (bool mask, void* ptr, const float v) { if (mask) *(float*)ptr = v; }
+ static __forceinline void storeu(bool mask, void* ptr, const float v) { if (mask) *(float*)ptr = v; }
+ };
+
+ /*! bit reverse operation */
+ template<class T>
+ __forceinline T bitReverse(const T& vin)
+ {
+ 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__)
+
+ 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);
+ }
+}
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