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virtualx-engine/thirdparty/embree/common/math/math.h
jfons 767e374dce Upgrade Embree to the latest official release. 
Since Embree v3.13.0 supports AARCH64, switch back to the
official repo instead of using Embree-aarch64.

`thirdparty/embree/patches/godot-changes.patch` should now contain
an accurate diff of the changes done to the library.
2021-05-21 17:00:24 +02:00

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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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