1605 lines
32 KiB
C++
1605 lines
32 KiB
C++
/*
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* Copyright 2011-2013 Blender Foundation
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef __UTIL_MATH_H__
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#define __UTIL_MATH_H__
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/* Math
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*
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* Basic math functions on scalar and vector types. This header is used by
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* both the kernel code when compiled as C++, and other C++ non-kernel code. */
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#ifndef __KERNEL_OPENCL__
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#include <float.h>
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#include <math.h>
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#include <stdio.h>
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#endif
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#include "util_types.h"
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CCL_NAMESPACE_BEGIN
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/* Float Pi variations */
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/* Division */
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#ifndef M_PI_F
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#define M_PI_F ((float)3.14159265358979323846264338327950288) /* pi */
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#endif
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#ifndef M_PI_2_F
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#define M_PI_2_F ((float)1.57079632679489661923132169163975144) /* pi/2 */
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#endif
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#ifndef M_PI_4_F
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#define M_PI_4_F ((float)0.785398163397448309615660845819875721) /* pi/4 */
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#endif
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#ifndef M_1_PI_F
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#define M_1_PI_F ((float)0.318309886183790671537767526745028724) /* 1/pi */
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#endif
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#ifndef M_2_PI_F
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#define M_2_PI_F ((float)0.636619772367581343075535053490057448) /* 2/pi */
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#endif
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/* Multiplication */
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#ifndef M_2PI_F
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#define M_2PI_F ((float)6.283185307179586476925286766559005768) /* 2*pi */
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#endif
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#ifndef M_4PI_F
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#define M_4PI_F ((float)12.56637061435917295385057353311801153) /* 4*pi */
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#endif
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/* Float sqrt variations */
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#ifndef M_SQRT2_F
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#define M_SQRT2_F ((float)1.41421356237309504880) /* sqrt(2) */
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#endif
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#ifndef M_LN2_F
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#define M_LN2_F ((float)0.6931471805599453) /* ln(2) */
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#endif
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#ifndef M_LN10_F
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#define M_LN10_F ((float)2.3025850929940457) /* ln(10) */
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#endif
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/* Scalar */
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#ifdef _WIN32
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float fmaxf(float a, float b)
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{
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return (a > b)? a: b;
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}
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ccl_device_inline float fminf(float a, float b)
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{
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return (a < b)? a: b;
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}
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#endif
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#endif
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#ifndef __KERNEL_GPU__
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ccl_device_inline int abs(int x)
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{
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return (x > 0)? x: -x;
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}
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ccl_device_inline int max(int a, int b)
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{
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return (a > b)? a: b;
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}
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ccl_device_inline int min(int a, int b)
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{
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return (a < b)? a: b;
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}
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ccl_device_inline float max(float a, float b)
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{
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return (a > b)? a: b;
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}
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ccl_device_inline float min(float a, float b)
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{
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return (a < b)? a: b;
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}
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ccl_device_inline double max(double a, double b)
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{
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return (a > b)? a: b;
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}
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ccl_device_inline double min(double a, double b)
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{
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return (a < b)? a: b;
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}
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/* These 2 guys are templated for usage with registers data.
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*
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* NOTE: Since this is CPU-only functions it is ok to use references here.
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* But for other devices we'll need to be careful about this.
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*/
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template<typename T>
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ccl_device_inline T min4(const T& a, const T& b, const T& c, const T& d)
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{
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return min(min(a,b),min(c,d));
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}
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template<typename T>
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ccl_device_inline T max4(const T& a, const T& b, const T& c, const T& d)
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{
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return max(max(a,b),max(c,d));
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}
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#endif
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ccl_device_inline float min4(float a, float b, float c, float d)
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{
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return min(min(a, b), min(c, d));
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}
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ccl_device_inline float max4(float a, float b, float c, float d)
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{
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return max(max(a, b), max(c, d));
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}
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline int clamp(int a, int mn, int mx)
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{
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return min(max(a, mn), mx);
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}
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ccl_device_inline float clamp(float a, float mn, float mx)
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{
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return min(max(a, mn), mx);
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}
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ccl_device_inline float mix(float a, float b, float t)
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{
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return a + t*(b - a);
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}
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#endif
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#ifndef __KERNEL_CUDA__
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ccl_device_inline float saturate(float a)
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{
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return clamp(a, 0.0f, 1.0f);
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}
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#endif
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ccl_device_inline int float_to_int(float f)
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{
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return (int)f;
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}
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ccl_device_inline int floor_to_int(float f)
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{
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return float_to_int(floorf(f));
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}
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ccl_device_inline int ceil_to_int(float f)
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{
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return float_to_int(ceilf(f));
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}
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ccl_device_inline float signf(float f)
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{
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return (f < 0.0f)? -1.0f: 1.0f;
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}
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ccl_device_inline float nonzerof(float f, float eps)
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{
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if(fabsf(f) < eps)
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return signf(f)*eps;
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else
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return f;
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}
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ccl_device_inline float smoothstepf(float f)
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{
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float ff = f*f;
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return (3.0f*ff - 2.0f*ff*f);
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}
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ccl_device_inline int mod(int x, int m)
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{
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return (x % m + m) % m;
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}
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/* Float2 Vector */
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline bool is_zero(const float2 a)
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{
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return (a.x == 0.0f && a.y == 0.0f);
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}
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#endif
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float average(const float2 a)
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{
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return (a.x + a.y)*(1.0f/2.0f);
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}
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#endif
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float2 operator-(const float2 a)
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{
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return make_float2(-a.x, -a.y);
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}
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ccl_device_inline float2 operator*(const float2 a, const float2 b)
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{
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return make_float2(a.x*b.x, a.y*b.y);
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}
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ccl_device_inline float2 operator*(const float2 a, float f)
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{
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return make_float2(a.x*f, a.y*f);
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}
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ccl_device_inline float2 operator*(float f, const float2 a)
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{
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return make_float2(a.x*f, a.y*f);
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}
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ccl_device_inline float2 operator/(float f, const float2 a)
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{
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return make_float2(f/a.x, f/a.y);
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}
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ccl_device_inline float2 operator/(const float2 a, float f)
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{
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float invf = 1.0f/f;
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return make_float2(a.x*invf, a.y*invf);
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}
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ccl_device_inline float2 operator/(const float2 a, const float2 b)
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{
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return make_float2(a.x/b.x, a.y/b.y);
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}
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ccl_device_inline float2 operator+(const float2 a, const float2 b)
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{
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return make_float2(a.x+b.x, a.y+b.y);
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}
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ccl_device_inline float2 operator-(const float2 a, const float2 b)
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{
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return make_float2(a.x-b.x, a.y-b.y);
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}
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ccl_device_inline float2 operator+=(float2& a, const float2 b)
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{
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return a = a + b;
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}
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ccl_device_inline float2 operator*=(float2& a, const float2 b)
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{
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return a = a * b;
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}
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ccl_device_inline float2 operator*=(float2& a, float f)
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{
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return a = a * f;
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}
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ccl_device_inline float2 operator/=(float2& a, const float2 b)
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{
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return a = a / b;
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}
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ccl_device_inline float2 operator/=(float2& a, float f)
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{
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float invf = 1.0f/f;
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return a = a * invf;
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}
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ccl_device_inline float dot(const float2 a, const float2 b)
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{
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return a.x*b.x + a.y*b.y;
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}
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ccl_device_inline float cross(const float2 a, const float2 b)
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{
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return (a.x*b.y - a.y*b.x);
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}
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#endif
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline bool operator==(const int2 a, const int2 b)
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{
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return (a.x == b.x && a.y == b.y);
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}
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ccl_device_inline float len(const float2 a)
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{
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return sqrtf(dot(a, a));
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}
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ccl_device_inline float2 normalize(const float2 a)
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{
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return a/len(a);
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}
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ccl_device_inline float2 normalize_len(const float2 a, float *t)
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{
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*t = len(a);
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return a/(*t);
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}
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ccl_device_inline float2 safe_normalize(const float2 a)
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{
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float t = len(a);
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return (t != 0.0f)? a/t: a;
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}
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ccl_device_inline bool operator==(const float2 a, const float2 b)
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{
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return (a.x == b.x && a.y == b.y);
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}
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ccl_device_inline bool operator!=(const float2 a, const float2 b)
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{
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return !(a == b);
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}
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ccl_device_inline float2 min(float2 a, float2 b)
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{
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return make_float2(min(a.x, b.x), min(a.y, b.y));
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}
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ccl_device_inline float2 max(float2 a, float2 b)
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{
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return make_float2(max(a.x, b.x), max(a.y, b.y));
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}
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ccl_device_inline float2 clamp(float2 a, float2 mn, float2 mx)
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{
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return min(max(a, mn), mx);
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}
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ccl_device_inline float2 fabs(float2 a)
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{
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return make_float2(fabsf(a.x), fabsf(a.y));
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}
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ccl_device_inline float2 as_float2(const float4 a)
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{
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return make_float2(a.x, a.y);
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}
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#endif
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#ifndef __KERNEL_GPU__
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ccl_device_inline void print_float2(const char *label, const float2& a)
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{
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printf("%s: %.8f %.8f\n", label, (double)a.x, (double)a.y);
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}
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#endif
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float2 interp(float2 a, float2 b, float t)
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{
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return a + t*(b - a);
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}
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#endif
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/* Float3 Vector */
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float3 operator-(const float3 a)
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{
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return make_float3(-a.x, -a.y, -a.z);
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}
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ccl_device_inline float3 operator*(const float3 a, const float3 b)
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{
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return make_float3(a.x*b.x, a.y*b.y, a.z*b.z);
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}
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ccl_device_inline float3 operator*(const float3 a, float f)
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{
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return make_float3(a.x*f, a.y*f, a.z*f);
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}
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ccl_device_inline float3 operator*(float f, const float3 a)
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{
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return make_float3(a.x*f, a.y*f, a.z*f);
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}
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ccl_device_inline float3 operator/(float f, const float3 a)
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{
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return make_float3(f/a.x, f/a.y, f/a.z);
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}
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ccl_device_inline float3 operator/(const float3 a, float f)
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{
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float invf = 1.0f/f;
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return make_float3(a.x*invf, a.y*invf, a.z*invf);
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}
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ccl_device_inline float3 operator/(const float3 a, const float3 b)
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{
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return make_float3(a.x/b.x, a.y/b.y, a.z/b.z);
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}
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ccl_device_inline float3 operator+(const float3 a, const float3 b)
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{
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return make_float3(a.x+b.x, a.y+b.y, a.z+b.z);
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}
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ccl_device_inline float3 operator-(const float3 a, const float3 b)
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{
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return make_float3(a.x-b.x, a.y-b.y, a.z-b.z);
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}
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ccl_device_inline float3 operator+=(float3& a, const float3 b)
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{
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return a = a + b;
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}
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ccl_device_inline float3 operator*=(float3& a, const float3 b)
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{
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return a = a * b;
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}
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ccl_device_inline float3 operator*=(float3& a, float f)
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{
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return a = a * f;
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}
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ccl_device_inline float3 operator/=(float3& a, const float3 b)
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{
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return a = a / b;
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}
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ccl_device_inline float3 operator/=(float3& a, float f)
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{
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float invf = 1.0f/f;
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return a = a * invf;
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}
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ccl_device_inline float dot(const float3 a, const float3 b)
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{
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#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
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return _mm_cvtss_f32(_mm_dp_ps(a, b, 0x7F));
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#else
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return a.x*b.x + a.y*b.y + a.z*b.z;
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#endif
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}
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ccl_device_inline float dot(const float4 a, const float4 b)
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{
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#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
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return _mm_cvtss_f32(_mm_dp_ps(a, b, 0xFF));
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#else
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return (a.x*b.x + a.y*b.y) + (a.z*b.z + a.w*b.w);
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#endif
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}
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ccl_device_inline float3 cross(const float3 a, const float3 b)
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{
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float3 r = make_float3(a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x);
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return r;
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}
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#endif
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ccl_device_inline float len(const float3 a)
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{
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#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
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return _mm_cvtss_f32(_mm_sqrt_ss(_mm_dp_ps(a.m128, a.m128, 0x7F)));
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#else
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return sqrtf(dot(a, a));
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#endif
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}
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ccl_device_inline float len_squared(const float3 a)
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{
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return dot(a, a);
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}
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#ifndef __KERNEL_OPENCL__
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ccl_device_inline float len_squared(const float4 a)
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{
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return dot(a, a);
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}
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ccl_device_inline float3 normalize(const float3 a)
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{
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#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
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__m128 norm = _mm_sqrt_ps(_mm_dp_ps(a.m128, a.m128, 0x7F));
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return _mm_div_ps(a.m128, norm);
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#else
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return a/len(a);
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#endif
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}
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|
|
#endif
|
|
|
|
ccl_device_inline float3 saturate3(float3 a)
|
|
{
|
|
return make_float3(saturate(a.x), saturate(a.y), saturate(a.z));
|
|
}
|
|
|
|
ccl_device_inline float3 normalize_len(const float3 a, float *t)
|
|
{
|
|
*t = len(a);
|
|
return a/(*t);
|
|
}
|
|
|
|
ccl_device_inline float3 safe_normalize(const float3 a)
|
|
{
|
|
float t = len(a);
|
|
return (t != 0.0f)? a/t: a;
|
|
}
|
|
|
|
ccl_device_inline float3 safe_normalize_len(const float3 a, float *t)
|
|
{
|
|
*t = len(a);
|
|
return (*t != 0.0f)? a/(*t): a;
|
|
}
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline bool operator==(const float3 a, const float3 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return (_mm_movemask_ps(_mm_cmpeq_ps(a.m128, b.m128)) & 7) == 7;
|
|
#else
|
|
return (a.x == b.x && a.y == b.y && a.z == b.z);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline bool operator!=(const float3 a, const float3 b)
|
|
{
|
|
return !(a == b);
|
|
}
|
|
|
|
ccl_device_inline float3 min(float3 a, float3 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_min_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float3(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float3 max(float3 a, float3 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_max_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float3(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float3 clamp(float3 a, float3 mn, float3 mx)
|
|
{
|
|
return min(max(a, mn), mx);
|
|
}
|
|
|
|
ccl_device_inline float3 fabs(float3 a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
__m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x7fffffff));
|
|
return _mm_and_ps(a.m128, mask);
|
|
#else
|
|
return make_float3(fabsf(a.x), fabsf(a.y), fabsf(a.z));
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
ccl_device_inline float3 float2_to_float3(const float2 a)
|
|
{
|
|
return make_float3(a.x, a.y, 0.0f);
|
|
}
|
|
|
|
ccl_device_inline float3 float4_to_float3(const float4 a)
|
|
{
|
|
return make_float3(a.x, a.y, a.z);
|
|
}
|
|
|
|
ccl_device_inline float4 float3_to_float4(const float3 a)
|
|
{
|
|
return make_float4(a.x, a.y, a.z, 1.0f);
|
|
}
|
|
|
|
#ifndef __KERNEL_GPU__
|
|
|
|
ccl_device_inline void print_float3(const char *label, const float3& a)
|
|
{
|
|
printf("%s: %.8f %.8f %.8f\n", label, (double)a.x, (double)a.y, (double)a.z);
|
|
}
|
|
|
|
ccl_device_inline float3 rcp(const float3& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 r = _mm_rcp_ps(a.m128);
|
|
return _mm_sub_ps(_mm_add_ps(r, r), _mm_mul_ps(_mm_mul_ps(r, r), a));
|
|
#else
|
|
return make_float3(1.0f/a.x, 1.0f/a.y, 1.0f/a.z);
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
ccl_device_inline float3 interp(float3 a, float3 b, float t)
|
|
{
|
|
return a + t*(b - a);
|
|
}
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline float3 mix(float3 a, float3 b, float t)
|
|
{
|
|
return a + t*(b - a);
|
|
}
|
|
|
|
#endif
|
|
|
|
ccl_device_inline bool is_zero(const float3 a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return a == make_float3(0.0f);
|
|
#else
|
|
return (a.x == 0.0f && a.y == 0.0f && a.z == 0.0f);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float reduce_add(const float3 a)
|
|
{
|
|
return (a.x + a.y + a.z);
|
|
}
|
|
|
|
ccl_device_inline float average(const float3 a)
|
|
{
|
|
return reduce_add(a)*(1.0f/3.0f);
|
|
}
|
|
|
|
ccl_device_inline bool isequal_float3(const float3 a, const float3 b)
|
|
{
|
|
#ifdef __KERNEL_OPENCL__
|
|
return all(a == b);
|
|
#else
|
|
return a == b;
|
|
#endif
|
|
}
|
|
|
|
/* Float4 Vector */
|
|
|
|
#ifdef __KERNEL_SSE__
|
|
|
|
template<size_t index_0, size_t index_1, size_t index_2, size_t index_3> __forceinline const float4 shuffle(const float4& b)
|
|
{
|
|
return _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(b), _MM_SHUFFLE(index_3, index_2, index_1, index_0)));
|
|
}
|
|
|
|
template<> __forceinline const float4 shuffle<0, 0, 2, 2>(const float4& b)
|
|
{
|
|
return _mm_moveldup_ps(b);
|
|
}
|
|
|
|
template<> __forceinline const float4 shuffle<1, 1, 3, 3>(const float4& b)
|
|
{
|
|
return _mm_movehdup_ps(b);
|
|
}
|
|
|
|
template<> __forceinline const float4 shuffle<0, 1, 0, 1>(const float4& b)
|
|
{
|
|
return _mm_castpd_ps(_mm_movedup_pd(_mm_castps_pd(b)));
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline float4 operator-(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
__m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x80000000));
|
|
return _mm_xor_ps(a.m128, mask);
|
|
#else
|
|
return make_float4(-a.x, -a.y, -a.z, -a.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator*(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_mul_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float4(a.x*b.x, a.y*b.y, a.z*b.z, a.w*b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator*(const float4& a, float f)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return a * make_float4(f);
|
|
#else
|
|
return make_float4(a.x*f, a.y*f, a.z*f, a.w*f);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator*(float f, const float4& a)
|
|
{
|
|
return a * f;
|
|
}
|
|
|
|
ccl_device_inline float4 rcp(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 r = _mm_rcp_ps(a.m128);
|
|
return _mm_sub_ps(_mm_add_ps(r, r), _mm_mul_ps(_mm_mul_ps(r, r), a));
|
|
#else
|
|
return make_float4(1.0f/a.x, 1.0f/a.y, 1.0f/a.z, 1.0f/a.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator/(const float4& a, float f)
|
|
{
|
|
return a * (1.0f/f);
|
|
}
|
|
|
|
ccl_device_inline float4 operator/(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return a * rcp(b);
|
|
#else
|
|
return make_float4(a.x/b.x, a.y/b.y, a.z/b.z, a.w/b.w);
|
|
#endif
|
|
|
|
}
|
|
|
|
ccl_device_inline float4 operator+(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_add_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float4(a.x+b.x, a.y+b.y, a.z+b.z, a.w+b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator-(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_sub_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float4(a.x-b.x, a.y-b.y, a.z-b.z, a.w-b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 operator+=(float4& a, const float4& b)
|
|
{
|
|
return a = a + b;
|
|
}
|
|
|
|
ccl_device_inline float4 operator*=(float4& a, const float4& b)
|
|
{
|
|
return a = a * b;
|
|
}
|
|
|
|
ccl_device_inline float4 operator/=(float4& a, float f)
|
|
{
|
|
return a = a / f;
|
|
}
|
|
|
|
ccl_device_inline int4 operator<(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_cvtps_epi32(_mm_cmplt_ps(a.m128, b.m128)); /* todo: avoid cvt */
|
|
#else
|
|
return make_int4(a.x < b.x, a.y < b.y, a.z < b.z, a.w < b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 operator>=(float4 a, float4 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_cvtps_epi32(_mm_cmpge_ps(a.m128, b.m128)); /* todo: avoid cvt */
|
|
#else
|
|
return make_int4(a.x >= b.x, a.y >= b.y, a.z >= b.z, a.w >= b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 operator<=(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_cvtps_epi32(_mm_cmple_ps(a.m128, b.m128)); /* todo: avoid cvt */
|
|
#else
|
|
return make_int4(a.x <= b.x, a.y <= b.y, a.z <= b.z, a.w <= b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline bool operator==(const float4 a, const float4 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return (_mm_movemask_ps(_mm_cmpeq_ps(a.m128, b.m128)) & 15) == 15;
|
|
#else
|
|
return (a.x == b.x && a.y == b.y && a.z == b.z && a.w == b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 cross(const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return (shuffle<1,2,0,0>(a)*shuffle<2,0,1,0>(b)) - (shuffle<2,0,1,0>(a)*shuffle<1,2,0,0>(b));
|
|
#else
|
|
return make_float4(a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x, 0.0f);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline bool is_zero(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return a == make_float4(0.0f);
|
|
#else
|
|
return (a.x == 0.0f && a.y == 0.0f && a.z == 0.0f && a.w == 0.0f);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float reduce_add(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 h = shuffle<1,0,3,2>(a) + a;
|
|
return _mm_cvtss_f32(shuffle<2,3,0,1>(h) + h); /* todo: efficiency? */
|
|
#else
|
|
return ((a.x + a.y) + (a.z + a.w));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float average(const float4& a)
|
|
{
|
|
return reduce_add(a) * 0.25f;
|
|
}
|
|
|
|
ccl_device_inline float len(const float4 a)
|
|
{
|
|
return sqrtf(dot(a, a));
|
|
}
|
|
|
|
ccl_device_inline float4 normalize(const float4 a)
|
|
{
|
|
return a/len(a);
|
|
}
|
|
|
|
ccl_device_inline float4 safe_normalize(const float4 a)
|
|
{
|
|
float t = len(a);
|
|
return (t != 0.0f)? a/t: a;
|
|
}
|
|
|
|
ccl_device_inline float4 min(float4 a, float4 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_min_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float4(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z), min(a.w, b.w));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 max(float4 a, float4 b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_max_ps(a.m128, b.m128);
|
|
#else
|
|
return make_float4(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z), max(a.w, b.w));
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifndef __KERNEL_GPU__
|
|
|
|
ccl_device_inline float4 select(const int4& mask, const float4& a, const float4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_or_ps(_mm_and_ps(_mm_cvtepi32_ps(mask), a), _mm_andnot_ps(_mm_cvtepi32_ps(mask), b)); /* todo: avoid cvt */
|
|
#else
|
|
return make_float4((mask.x)? a.x: b.x, (mask.y)? a.y: b.y, (mask.z)? a.z: b.z, (mask.w)? a.w: b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 reduce_min(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 h = min(shuffle<1,0,3,2>(a), a);
|
|
return min(shuffle<2,3,0,1>(h), h);
|
|
#else
|
|
return make_float4(min(min(a.x, a.y), min(a.z, a.w)));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline float4 reduce_max(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 h = max(shuffle<1,0,3,2>(a), a);
|
|
return max(shuffle<2,3,0,1>(h), h);
|
|
#else
|
|
return make_float4(max(max(a.x, a.y), max(a.z, a.w)));
|
|
#endif
|
|
}
|
|
|
|
#if 0
|
|
ccl_device_inline float4 reduce_add(const float4& a)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
float4 h = shuffle<1,0,3,2>(a) + a;
|
|
return shuffle<2,3,0,1>(h) + h;
|
|
#else
|
|
return make_float4((a.x + a.y) + (a.z + a.w));
|
|
#endif
|
|
}
|
|
#endif
|
|
|
|
ccl_device_inline void print_float4(const char *label, const float4& a)
|
|
{
|
|
printf("%s: %.8f %.8f %.8f %.8f\n", label, (double)a.x, (double)a.y, (double)a.z, (double)a.w);
|
|
}
|
|
|
|
#endif
|
|
|
|
/* Int2 */
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline int2 operator+(const int2 &a, const int2 &b)
|
|
{
|
|
return make_int2(a.x + b.x, a.y + b.y);
|
|
}
|
|
|
|
ccl_device_inline int2 operator+=(int2 &a, const int2 &b)
|
|
{
|
|
return a = a + b;
|
|
}
|
|
|
|
ccl_device_inline int2 operator-(const int2 &a, const int2 &b)
|
|
{
|
|
return make_int2(a.x - b.x, a.y - b.y);
|
|
}
|
|
|
|
ccl_device_inline int2 operator*(const int2 &a, const int2 &b)
|
|
{
|
|
return make_int2(a.x * b.x, a.y * b.y);
|
|
}
|
|
|
|
ccl_device_inline int2 operator/(const int2 &a, const int2 &b)
|
|
{
|
|
return make_int2(a.x / b.x, a.y / b.y);
|
|
}
|
|
|
|
#endif
|
|
|
|
/* Int3 */
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline int3 min(int3 a, int3 b)
|
|
{
|
|
#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
|
|
return _mm_min_epi32(a.m128, b.m128);
|
|
#else
|
|
return make_int3(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int3 max(int3 a, int3 b)
|
|
{
|
|
#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
|
|
return _mm_max_epi32(a.m128, b.m128);
|
|
#else
|
|
return make_int3(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int3 clamp(const int3& a, int mn, int mx)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return min(max(a, make_int3(mn)), make_int3(mx));
|
|
#else
|
|
return make_int3(clamp(a.x, mn, mx), clamp(a.y, mn, mx), clamp(a.z, mn, mx));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int3 clamp(const int3& a, int3& mn, int mx)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return min(max(a, mn), make_int3(mx));
|
|
#else
|
|
return make_int3(clamp(a.x, mn.x, mx), clamp(a.y, mn.y, mx), clamp(a.z, mn.z, mx));
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifndef __KERNEL_GPU__
|
|
|
|
ccl_device_inline void print_int3(const char *label, const int3& a)
|
|
{
|
|
printf("%s: %d %d %d\n", label, a.x, a.y, a.z);
|
|
}
|
|
|
|
#endif
|
|
|
|
/* Int4 */
|
|
|
|
#ifndef __KERNEL_GPU__
|
|
|
|
ccl_device_inline int4 operator+(const int4& a, const int4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_add_epi32(a.m128, b.m128);
|
|
#else
|
|
return make_int4(a.x+b.x, a.y+b.y, a.z+b.z, a.w+b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 operator+=(int4& a, const int4& b)
|
|
{
|
|
return a = a + b;
|
|
}
|
|
|
|
ccl_device_inline int4 operator>>(const int4& a, int i)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
return _mm_srai_epi32(a.m128, i);
|
|
#else
|
|
return make_int4(a.x >> i, a.y >> i, a.z >> i, a.w >> i);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 min(int4 a, int4 b)
|
|
{
|
|
#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
|
|
return _mm_min_epi32(a.m128, b.m128);
|
|
#else
|
|
return make_int4(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z), min(a.w, b.w));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 max(int4 a, int4 b)
|
|
{
|
|
#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
|
|
return _mm_max_epi32(a.m128, b.m128);
|
|
#else
|
|
return make_int4(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z), max(a.w, b.w));
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline int4 clamp(const int4& a, const int4& mn, const int4& mx)
|
|
{
|
|
return min(max(a, mn), mx);
|
|
}
|
|
|
|
ccl_device_inline int4 select(const int4& mask, const int4& a, const int4& b)
|
|
{
|
|
#ifdef __KERNEL_SSE__
|
|
__m128 m = _mm_cvtepi32_ps(mask);
|
|
return _mm_castps_si128(_mm_or_ps(_mm_and_ps(m, _mm_castsi128_ps(a)), _mm_andnot_ps(m, _mm_castsi128_ps(b)))); /* todo: avoid cvt */
|
|
#else
|
|
return make_int4((mask.x)? a.x: b.x, (mask.y)? a.y: b.y, (mask.z)? a.z: b.z, (mask.w)? a.w: b.w);
|
|
#endif
|
|
}
|
|
|
|
ccl_device_inline void print_int4(const char *label, const int4& a)
|
|
{
|
|
printf("%s: %d %d %d %d\n", label, a.x, a.y, a.z, a.w);
|
|
}
|
|
|
|
#endif
|
|
|
|
/* Int/Float conversion */
|
|
|
|
#ifndef __KERNEL_OPENCL__
|
|
|
|
ccl_device_inline int as_int(uint i)
|
|
{
|
|
union { uint ui; int i; } u;
|
|
u.ui = i;
|
|
return u.i;
|
|
}
|
|
|
|
ccl_device_inline uint as_uint(int i)
|
|
{
|
|
union { uint ui; int i; } u;
|
|
u.i = i;
|
|
return u.ui;
|
|
}
|
|
|
|
ccl_device_inline uint as_uint(float f)
|
|
{
|
|
union { uint i; float f; } u;
|
|
u.f = f;
|
|
return u.i;
|
|
}
|
|
|
|
ccl_device_inline int __float_as_int(float f)
|
|
{
|
|
union { int i; float f; } u;
|
|
u.f = f;
|
|
return u.i;
|
|
}
|
|
|
|
ccl_device_inline float __int_as_float(int i)
|
|
{
|
|
union { int i; float f; } u;
|
|
u.i = i;
|
|
return u.f;
|
|
}
|
|
|
|
ccl_device_inline uint __float_as_uint(float f)
|
|
{
|
|
union { uint i; float f; } u;
|
|
u.f = f;
|
|
return u.i;
|
|
}
|
|
|
|
ccl_device_inline float __uint_as_float(uint i)
|
|
{
|
|
union { uint i; float f; } u;
|
|
u.i = i;
|
|
return u.f;
|
|
}
|
|
|
|
/* Interpolation */
|
|
|
|
template<class A, class B> A lerp(const A& a, const A& b, const B& t)
|
|
{
|
|
return (A)(a * ((B)1 - t) + b * t);
|
|
}
|
|
|
|
/* Triangle */
|
|
|
|
ccl_device_inline float triangle_area(const float3 v1, const float3 v2, const float3 v3)
|
|
{
|
|
return len(cross(v3 - v2, v1 - v2))*0.5f;
|
|
}
|
|
|
|
#endif
|
|
|
|
/* Orthonormal vectors */
|
|
|
|
ccl_device_inline void make_orthonormals(const float3 N, float3 *a, float3 *b)
|
|
{
|
|
#if 0
|
|
if(fabsf(N.y) >= 0.999f) {
|
|
*a = make_float3(1, 0, 0);
|
|
*b = make_float3(0, 0, 1);
|
|
return;
|
|
}
|
|
if(fabsf(N.z) >= 0.999f) {
|
|
*a = make_float3(1, 0, 0);
|
|
*b = make_float3(0, 1, 0);
|
|
return;
|
|
}
|
|
#endif
|
|
|
|
if(N.x != N.y || N.x != N.z)
|
|
*a = make_float3(N.z-N.y, N.x-N.z, N.y-N.x); //(1,1,1)x N
|
|
else
|
|
*a = make_float3(N.z-N.y, N.x+N.z, -N.y-N.x); //(-1,1,1)x N
|
|
|
|
*a = normalize(*a);
|
|
*b = cross(N, *a);
|
|
}
|
|
|
|
/* Color division */
|
|
|
|
ccl_device_inline float3 safe_invert_color(float3 a)
|
|
{
|
|
float x, y, z;
|
|
|
|
x = (a.x != 0.0f)? 1.0f/a.x: 0.0f;
|
|
y = (a.y != 0.0f)? 1.0f/a.y: 0.0f;
|
|
z = (a.z != 0.0f)? 1.0f/a.z: 0.0f;
|
|
|
|
return make_float3(x, y, z);
|
|
}
|
|
|
|
ccl_device_inline float3 safe_divide_color(float3 a, float3 b)
|
|
{
|
|
float x, y, z;
|
|
|
|
x = (b.x != 0.0f)? a.x/b.x: 0.0f;
|
|
y = (b.y != 0.0f)? a.y/b.y: 0.0f;
|
|
z = (b.z != 0.0f)? a.z/b.z: 0.0f;
|
|
|
|
return make_float3(x, y, z);
|
|
}
|
|
|
|
ccl_device_inline float3 safe_divide_even_color(float3 a, float3 b)
|
|
{
|
|
float x, y, z;
|
|
|
|
x = (b.x != 0.0f)? a.x/b.x: 0.0f;
|
|
y = (b.y != 0.0f)? a.y/b.y: 0.0f;
|
|
z = (b.z != 0.0f)? a.z/b.z: 0.0f;
|
|
|
|
/* try to get grey even if b is zero */
|
|
if(b.x == 0.0f) {
|
|
if(b.y == 0.0f) {
|
|
x = z;
|
|
y = z;
|
|
}
|
|
else if(b.z == 0.0f) {
|
|
x = y;
|
|
z = y;
|
|
}
|
|
else
|
|
x = 0.5f*(y + z);
|
|
}
|
|
else if(b.y == 0.0f) {
|
|
if(b.z == 0.0f) {
|
|
y = x;
|
|
z = x;
|
|
}
|
|
else
|
|
y = 0.5f*(x + z);
|
|
}
|
|
else if(b.z == 0.0f) {
|
|
z = 0.5f*(x + y);
|
|
}
|
|
|
|
return make_float3(x, y, z);
|
|
}
|
|
|
|
/* Rotation of point around axis and angle */
|
|
|
|
ccl_device_inline float3 rotate_around_axis(float3 p, float3 axis, float angle)
|
|
{
|
|
float costheta = cosf(angle);
|
|
float sintheta = sinf(angle);
|
|
float3 r;
|
|
|
|
r.x = ((costheta + (1 - costheta) * axis.x * axis.x) * p.x) +
|
|
(((1 - costheta) * axis.x * axis.y - axis.z * sintheta) * p.y) +
|
|
(((1 - costheta) * axis.x * axis.z + axis.y * sintheta) * p.z);
|
|
|
|
r.y = (((1 - costheta) * axis.x * axis.y + axis.z * sintheta) * p.x) +
|
|
((costheta + (1 - costheta) * axis.y * axis.y) * p.y) +
|
|
(((1 - costheta) * axis.y * axis.z - axis.x * sintheta) * p.z);
|
|
|
|
r.z = (((1 - costheta) * axis.x * axis.z - axis.y * sintheta) * p.x) +
|
|
(((1 - costheta) * axis.y * axis.z + axis.x * sintheta) * p.y) +
|
|
((costheta + (1 - costheta) * axis.z * axis.z) * p.z);
|
|
|
|
return r;
|
|
}
|
|
|
|
/* NaN-safe math ops */
|
|
|
|
ccl_device_inline float safe_sqrtf(float f)
|
|
{
|
|
return sqrtf(max(f, 0.0f));
|
|
}
|
|
|
|
ccl_device float safe_asinf(float a)
|
|
{
|
|
return asinf(clamp(a, -1.0f, 1.0f));
|
|
}
|
|
|
|
ccl_device float safe_acosf(float a)
|
|
{
|
|
return acosf(clamp(a, -1.0f, 1.0f));
|
|
}
|
|
|
|
ccl_device float compatible_powf(float x, float y)
|
|
{
|
|
#ifdef __KERNEL_GPU__
|
|
if(y == 0.0f) /* x^0 -> 1, including 0^0 */
|
|
return 1.0f;
|
|
|
|
/* GPU pow doesn't accept negative x, do manual checks here */
|
|
if(x < 0.0f) {
|
|
if(fmodf(-y, 2.0f) == 0.0f)
|
|
return powf(-x, y);
|
|
else
|
|
return -powf(-x, y);
|
|
}
|
|
else if(x == 0.0f)
|
|
return 0.0f;
|
|
#endif
|
|
return powf(x, y);
|
|
}
|
|
|
|
ccl_device float safe_powf(float a, float b)
|
|
{
|
|
if(UNLIKELY(a < 0.0f && b != float_to_int(b)))
|
|
return 0.0f;
|
|
|
|
return compatible_powf(a, b);
|
|
}
|
|
|
|
ccl_device float safe_logf(float a, float b)
|
|
{
|
|
if(UNLIKELY(a < 0.0f || b < 0.0f))
|
|
return 0.0f;
|
|
|
|
return logf(a)/logf(b);
|
|
}
|
|
|
|
ccl_device float safe_divide(float a, float b)
|
|
{
|
|
return (b != 0.0f)? a/b: 0.0f;
|
|
}
|
|
|
|
ccl_device float safe_modulo(float a, float b)
|
|
{
|
|
return (b != 0.0f)? fmodf(a, b): 0.0f;
|
|
}
|
|
|
|
ccl_device_inline float beta(float x, float y)
|
|
{
|
|
#ifndef __KERNEL_OPENCL__
|
|
return expf(lgammaf(x) + lgammaf(y) - lgammaf(x+y));
|
|
#else
|
|
return expf(lgamma(x) + lgamma(y) - lgamma(x+y));
|
|
#endif
|
|
}
|
|
|
|
/* Ray Intersection */
|
|
|
|
ccl_device bool ray_sphere_intersect(
|
|
float3 ray_P, float3 ray_D, float ray_t,
|
|
float3 sphere_P, float sphere_radius,
|
|
float3 *isect_P, float *isect_t)
|
|
{
|
|
float3 d = sphere_P - ray_P;
|
|
float radiussq = sphere_radius*sphere_radius;
|
|
float tsq = dot(d, d);
|
|
|
|
if(tsq > radiussq) { /* ray origin outside sphere */
|
|
float tp = dot(d, ray_D);
|
|
|
|
if(tp < 0.0f) /* dir points away from sphere */
|
|
return false;
|
|
|
|
float dsq = tsq - tp*tp; /* pythagoras */
|
|
|
|
if(dsq > radiussq) /* closest point on ray outside sphere */
|
|
return false;
|
|
|
|
float t = tp - sqrtf(radiussq - dsq); /* pythagoras */
|
|
|
|
if(t < ray_t) {
|
|
*isect_t = t;
|
|
*isect_P = ray_P + ray_D*t;
|
|
return true;
|
|
}
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
ccl_device bool ray_aligned_disk_intersect(
|
|
float3 ray_P, float3 ray_D, float ray_t,
|
|
float3 disk_P, float disk_radius,
|
|
float3 *isect_P, float *isect_t)
|
|
{
|
|
/* aligned disk normal */
|
|
float disk_t;
|
|
float3 disk_N = normalize_len(ray_P - disk_P, &disk_t);
|
|
float div = dot(ray_D, disk_N);
|
|
|
|
if(UNLIKELY(div == 0.0f))
|
|
return false;
|
|
|
|
/* compute t to intersection point */
|
|
float t = -disk_t/div;
|
|
if(t < 0.0f || t > ray_t)
|
|
return false;
|
|
|
|
/* test if within radius */
|
|
float3 P = ray_P + ray_D*t;
|
|
if(len_squared(P - disk_P) > disk_radius*disk_radius)
|
|
return false;
|
|
|
|
*isect_P = P;
|
|
*isect_t = t;
|
|
|
|
return true;
|
|
}
|
|
|
|
ccl_device bool ray_triangle_intersect(
|
|
float3 ray_P, float3 ray_D, float ray_t,
|
|
float3 v0, float3 v1, float3 v2,
|
|
float3 *isect_P, float *isect_t)
|
|
{
|
|
/* Calculate intersection */
|
|
float3 e1 = v1 - v0;
|
|
float3 e2 = v2 - v0;
|
|
float3 s1 = cross(ray_D, e2);
|
|
|
|
const float divisor = dot(s1, e1);
|
|
if(UNLIKELY(divisor == 0.0f))
|
|
return false;
|
|
|
|
const float invdivisor = 1.0f/divisor;
|
|
|
|
/* compute first barycentric coordinate */
|
|
const float3 d = ray_P - v0;
|
|
const float u = dot(d, s1)*invdivisor;
|
|
if(u < 0.0f)
|
|
return false;
|
|
|
|
/* Compute second barycentric coordinate */
|
|
const float3 s2 = cross(d, e1);
|
|
const float v = dot(ray_D, s2)*invdivisor;
|
|
if(v < 0.0f)
|
|
return false;
|
|
|
|
const float b0 = 1.0f - u - v;
|
|
if(b0 < 0.0f)
|
|
return false;
|
|
|
|
/* compute t to intersection point */
|
|
const float t = dot(e2, s2)*invdivisor;
|
|
if(t < 0.0f || t > ray_t)
|
|
return false;
|
|
|
|
*isect_t = t;
|
|
*isect_P = ray_P + ray_D*t;
|
|
|
|
return true;
|
|
}
|
|
|
|
ccl_device_inline bool ray_triangle_intersect_uv(
|
|
float3 ray_P, float3 ray_D, float ray_t,
|
|
float3 v0, float3 v1, float3 v2,
|
|
float *isect_u, float *isect_v, float *isect_t)
|
|
{
|
|
/* Calculate intersection */
|
|
float3 e1 = v1 - v0;
|
|
float3 e2 = v2 - v0;
|
|
float3 s1 = cross(ray_D, e2);
|
|
|
|
const float divisor = dot(s1, e1);
|
|
if(UNLIKELY(divisor == 0.0f))
|
|
return false;
|
|
|
|
const float invdivisor = 1.0f/divisor;
|
|
|
|
/* compute first barycentric coordinate */
|
|
const float3 d = ray_P - v0;
|
|
const float u = dot(d, s1)*invdivisor;
|
|
if(u < 0.0f)
|
|
return false;
|
|
|
|
/* Compute second barycentric coordinate */
|
|
const float3 s2 = cross(d, e1);
|
|
const float v = dot(ray_D, s2)*invdivisor;
|
|
if(v < 0.0f)
|
|
return false;
|
|
|
|
const float b0 = 1.0f - u - v;
|
|
if(b0 < 0.0f)
|
|
return false;
|
|
|
|
/* compute t to intersection point */
|
|
const float t = dot(e2, s2)*invdivisor;
|
|
if(t < 0.0f || t > ray_t)
|
|
return false;
|
|
|
|
*isect_u = u;
|
|
*isect_v = v;
|
|
*isect_t = t;
|
|
|
|
return true;
|
|
}
|
|
|
|
ccl_device bool ray_quad_intersect(float3 ray_P, float3 ray_D, float ray_mint, float ray_maxt,
|
|
float3 quad_P, float3 quad_u, float3 quad_v, float3 quad_n,
|
|
float3 *isect_P, float *isect_t)
|
|
{
|
|
float t = -(dot(ray_P, quad_n) - dot(quad_P, quad_n)) / dot(ray_D, quad_n);
|
|
if(t < ray_mint || t > ray_maxt)
|
|
return false;
|
|
|
|
float3 hit = ray_P + t*ray_D;
|
|
float3 inplane = hit - quad_P;
|
|
if(fabsf(dot(inplane, quad_u) / dot(quad_u, quad_u)) > 0.5f)
|
|
return false;
|
|
if(fabsf(dot(inplane, quad_v) / dot(quad_v, quad_v)) > 0.5f)
|
|
return false;
|
|
|
|
if(isect_P) *isect_P = hit;
|
|
if(isect_t) *isect_t = t;
|
|
|
|
return true;
|
|
}
|
|
|
|
/* projections */
|
|
ccl_device_inline float2 map_to_tube(const float3 co)
|
|
{
|
|
float len, u, v;
|
|
len = sqrtf(co.x * co.x + co.y * co.y);
|
|
if(len > 0.0f) {
|
|
u = (1.0f - (atan2f(co.x / len, co.y / len) / M_PI_F)) * 0.5f;
|
|
v = (co.z + 1.0f) * 0.5f;
|
|
}
|
|
else {
|
|
u = v = 0.0f;
|
|
}
|
|
return make_float2(u, v);
|
|
}
|
|
|
|
ccl_device_inline float2 map_to_sphere(const float3 co)
|
|
{
|
|
float l = len(co);
|
|
float u, v;
|
|
if(l > 0.0f) {
|
|
if(UNLIKELY(co.x == 0.0f && co.y == 0.0f)) {
|
|
u = 0.0f; /* othwise domain error */
|
|
}
|
|
else {
|
|
u = (1.0f - atan2f(co.x, co.y) / M_PI_F) / 2.0f;
|
|
}
|
|
v = 1.0f - safe_acosf(co.z / l) / M_PI_F;
|
|
}
|
|
else {
|
|
u = v = 0.0f;
|
|
}
|
|
return make_float2(u, v);
|
|
}
|
|
|
|
ccl_device_inline int util_max_axis(float3 vec)
|
|
{
|
|
if(vec.x > vec.y) {
|
|
if(vec.x > vec.z)
|
|
return 0;
|
|
else
|
|
return 2;
|
|
}
|
|
else {
|
|
if(vec.y > vec.z)
|
|
return 1;
|
|
else
|
|
return 2;
|
|
}
|
|
}
|
|
|
|
CCL_NAMESPACE_END
|
|
|
|
#endif /* __UTIL_MATH_H__ */
|
|
|