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Diffstat (limited to 'intern/cycles/util/util_math.h')
-rw-r--r--intern/cycles/util/util_math.h490
1 files changed, 252 insertions, 238 deletions
diff --git a/intern/cycles/util/util_math.h b/intern/cycles/util/util_math.h
index 6167119f873..2c7f826db93 100644
--- a/intern/cycles/util/util_math.h
+++ b/intern/cycles/util/util_math.h
@@ -26,12 +26,11 @@
# include <cmath>
#endif
-
#ifndef __KERNEL_OPENCL__
# include <float.h>
# include <math.h>
# include <stdio.h>
-#endif /* __KERNEL_OPENCL__ */
+#endif /* __KERNEL_OPENCL__ */
#include "util/util_types.h"
@@ -41,22 +40,22 @@ CCL_NAMESPACE_BEGIN
/* Division */
#ifndef M_PI_F
-# define M_PI_F (3.1415926535897932f) /* pi */
+# define M_PI_F (3.1415926535897932f) /* pi */
#endif
#ifndef M_PI_2_F
-# define M_PI_2_F (1.5707963267948966f) /* pi/2 */
+# define M_PI_2_F (1.5707963267948966f) /* pi/2 */
#endif
#ifndef M_PI_4_F
-# define M_PI_4_F (0.7853981633974830f) /* pi/4 */
+# define M_PI_4_F (0.7853981633974830f) /* pi/4 */
#endif
#ifndef M_1_PI_F
-# define M_1_PI_F (0.3183098861837067f) /* 1/pi */
+# define M_1_PI_F (0.3183098861837067f) /* 1/pi */
#endif
#ifndef M_2_PI_F
-# define M_2_PI_F (0.6366197723675813f) /* 2/pi */
+# define M_2_PI_F (0.6366197723675813f) /* 2/pi */
#endif
#ifndef M_1_2PI_F
-# define M_1_2PI_F (0.1591549430918953f) /* 1/(2*pi) */
+# define M_1_2PI_F (0.1591549430918953f) /* 1/(2*pi) */
#endif
#ifndef M_SQRT_PI_8_F
# define M_SQRT_PI_8_F (0.6266570686577501f) /* sqrt(pi/8) */
@@ -67,21 +66,21 @@ CCL_NAMESPACE_BEGIN
/* Multiplication */
#ifndef M_2PI_F
-# define M_2PI_F (6.2831853071795864f) /* 2*pi */
+# define M_2PI_F (6.2831853071795864f) /* 2*pi */
#endif
#ifndef M_4PI_F
-# define M_4PI_F (12.566370614359172f) /* 4*pi */
+# define M_4PI_F (12.566370614359172f) /* 4*pi */
#endif
/* Float sqrt variations */
#ifndef M_SQRT2_F
-# define M_SQRT2_F (1.4142135623730950f) /* sqrt(2) */
+# define M_SQRT2_F (1.4142135623730950f) /* sqrt(2) */
#endif
#ifndef M_LN2_F
-# define M_LN2_F (0.6931471805599453f) /* ln(2) */
+# define M_LN2_F (0.6931471805599453f) /* ln(2) */
#endif
#ifndef M_LN10_F
-# define M_LN10_F (2.3025850929940457f) /* ln(10) */
+# define M_LN10_F (2.3025850929940457f) /* ln(10) */
#endif
/* Scalar */
@@ -90,15 +89,15 @@ CCL_NAMESPACE_BEGIN
# ifndef __KERNEL_OPENCL__
ccl_device_inline float fmaxf(float a, float b)
{
- return (a > b)? a: b;
+ return (a > b) ? a : b;
}
ccl_device_inline float fminf(float a, float b)
{
- return (a < b)? a: b;
+ return (a < b) ? a : b;
}
-# endif /* !__KERNEL_OPENCL__ */
-#endif /* _WIN32 */
+# endif /* !__KERNEL_OPENCL__ */
+#endif /* _WIN32 */
#ifndef __KERNEL_GPU__
using std::isfinite;
@@ -107,37 +106,37 @@ using std::sqrt;
ccl_device_inline int abs(int x)
{
- return (x > 0)? x: -x;
+ return (x > 0) ? x : -x;
}
ccl_device_inline int max(int a, int b)
{
- return (a > b)? a: b;
+ return (a > b) ? a : b;
}
ccl_device_inline int min(int a, int b)
{
- return (a < b)? a: b;
+ return (a < b) ? a : b;
}
ccl_device_inline float max(float a, float b)
{
- return (a > b)? a: b;
+ return (a > b) ? a : b;
}
ccl_device_inline float min(float a, float b)
{
- return (a < b)? a: b;
+ return (a < b) ? a : b;
}
ccl_device_inline double max(double a, double b)
{
- return (a > b)? a: b;
+ return (a > b) ? a : b;
}
ccl_device_inline double min(double a, double b)
{
- return (a < b)? a: b;
+ return (a < b) ? a : b;
}
/* These 2 guys are templated for usage with registers data.
@@ -146,27 +145,25 @@ ccl_device_inline double min(double a, double b)
* But for other devices we'll need to be careful about this.
*/
-template<typename T>
-ccl_device_inline T min4(const T& a, const T& b, const T& c, const T& d)
+template<typename T> ccl_device_inline T min4(const T &a, const T &b, const T &c, const T &d)
{
- return min(min(a,b),min(c,d));
+ return min(min(a, b), min(c, d));
}
-template<typename T>
-ccl_device_inline T max4(const T& a, const T& b, const T& c, const T& d)
+template<typename T> ccl_device_inline T max4(const T &a, const T &b, const T &c, const T &d)
{
- return max(max(a,b),max(c,d));
+ return max(max(a, b), max(c, d));
}
-#endif /* __KERNEL_GPU__ */
+#endif /* __KERNEL_GPU__ */
ccl_device_inline float min4(float a, float b, float c, float d)
{
- return min(min(a, b), min(c, d));
+ return min(min(a, b), min(c, d));
}
ccl_device_inline float max4(float a, float b, float c, float d)
{
- return max(max(a, b), max(c, d));
+ return max(max(a, b), max(c, d));
}
#ifndef __KERNEL_OPENCL__
@@ -174,189 +171,210 @@ ccl_device_inline float max4(float a, float b, float c, float d)
ccl_device_inline int as_int(uint i)
{
- union { uint ui; int i; } u;
- u.ui = i;
- return u.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;
+ 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;
+ 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;
+ 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;
+ 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;
+ 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;
+ union {
+ uint i;
+ float f;
+ } u;
+ u.i = i;
+ return u.f;
}
ccl_device_inline int4 __float4_as_int4(float4 f)
{
-#ifdef __KERNEL_SSE__
- return int4(_mm_castps_si128(f.m128));
- #else
- return make_int4(__float_as_int(f.x),
- __float_as_int(f.y),
- __float_as_int(f.z),
- __float_as_int(f.w));
-#endif
+# ifdef __KERNEL_SSE__
+ return int4(_mm_castps_si128(f.m128));
+# else
+ return make_int4(
+ __float_as_int(f.x), __float_as_int(f.y), __float_as_int(f.z), __float_as_int(f.w));
+# endif
}
ccl_device_inline float4 __int4_as_float4(int4 i)
{
-#ifdef __KERNEL_SSE__
- return float4(_mm_castsi128_ps(i.m128));
-#else
- return make_float4(__int_as_float(i.x),
- __int_as_float(i.y),
- __int_as_float(i.z),
- __int_as_float(i.w));
-#endif
+# ifdef __KERNEL_SSE__
+ return float4(_mm_castsi128_ps(i.m128));
+# else
+ return make_float4(
+ __int_as_float(i.x), __int_as_float(i.y), __int_as_float(i.z), __int_as_float(i.w));
+# endif
}
-#endif /* __KERNEL_OPENCL__ */
+#endif /* __KERNEL_OPENCL__ */
/* Versions of functions which are safe for fast math. */
ccl_device_inline bool isnan_safe(float f)
{
- unsigned int x = __float_as_uint(f);
- return (x << 1) > 0xff000000u;
+ unsigned int x = __float_as_uint(f);
+ return (x << 1) > 0xff000000u;
}
ccl_device_inline bool isfinite_safe(float f)
{
- /* By IEEE 754 rule, 2*Inf equals Inf */
- unsigned int x = __float_as_uint(f);
- return (f == f) && (x == 0 || x == (1u << 31) || (f != 2.0f*f)) && !((x << 1) > 0xff000000u);
+ /* By IEEE 754 rule, 2*Inf equals Inf */
+ unsigned int x = __float_as_uint(f);
+ return (f == f) && (x == 0 || x == (1u << 31) || (f != 2.0f * f)) && !((x << 1) > 0xff000000u);
}
ccl_device_inline float ensure_finite(float v)
{
- return isfinite_safe(v)? v : 0.0f;
+ return isfinite_safe(v) ? v : 0.0f;
}
#ifndef __KERNEL_OPENCL__
ccl_device_inline int clamp(int a, int mn, int mx)
{
- return min(max(a, mn), mx);
+ return min(max(a, mn), mx);
}
ccl_device_inline float clamp(float a, float mn, float mx)
{
- return min(max(a, mn), mx);
+ return min(max(a, mn), mx);
}
ccl_device_inline float mix(float a, float b, float t)
{
- return a + t*(b - a);
+ return a + t * (b - a);
}
-#endif /* __KERNEL_OPENCL__ */
+#endif /* __KERNEL_OPENCL__ */
#ifndef __KERNEL_CUDA__
ccl_device_inline float saturate(float a)
{
- return clamp(a, 0.0f, 1.0f);
+ return clamp(a, 0.0f, 1.0f);
}
-#endif /* __KERNEL_CUDA__ */
+#endif /* __KERNEL_CUDA__ */
ccl_device_inline int float_to_int(float f)
{
- return (int)f;
+ return (int)f;
}
ccl_device_inline int floor_to_int(float f)
{
- return float_to_int(floorf(f));
+ return float_to_int(floorf(f));
}
ccl_device_inline int quick_floor_to_int(float x)
{
- return float_to_int(x) - ((x < 0) ? 1 : 0);
+ return float_to_int(x) - ((x < 0) ? 1 : 0);
}
ccl_device_inline int ceil_to_int(float f)
{
- return float_to_int(ceilf(f));
+ return float_to_int(ceilf(f));
}
ccl_device_inline float signf(float f)
{
- return (f < 0.0f)? -1.0f: 1.0f;
+ return (f < 0.0f) ? -1.0f : 1.0f;
}
ccl_device_inline float nonzerof(float f, float eps)
{
- if(fabsf(f) < eps)
- return signf(f)*eps;
- else
- return f;
+ if (fabsf(f) < eps)
+ return signf(f) * eps;
+ else
+ return f;
}
ccl_device_inline float smoothstepf(float f)
{
- float ff = f*f;
- return (3.0f*ff - 2.0f*ff*f);
+ float ff = f * f;
+ return (3.0f * ff - 2.0f * ff * f);
}
ccl_device_inline int mod(int x, int m)
{
- return (x % m + m) % m;
+ return (x % m + m) % m;
}
ccl_device_inline float3 float2_to_float3(const float2 a)
{
- return make_float3(a.x, a.y, 0.0f);
+ 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);
+ 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);
+ return make_float4(a.x, a.y, a.z, 1.0f);
}
ccl_device_inline float inverse_lerp(float a, float b, float x)
{
- return (x - a) / (b - a);
+ return (x - a) / (b - a);
}
/* Cubic interpolation between b and c, a and d are the previous and next point. */
ccl_device_inline float cubic_interp(float a, float b, float c, float d, float x)
{
- return 0.5f*(((d + 3.0f*(b-c) - a)*x + (2.0f*a - 5.0f*b + 4.0f*c - d))*x + (c - a))*x + b;
+ return 0.5f *
+ (((d + 3.0f * (b - c) - a) * x + (2.0f * a - 5.0f * b + 4.0f * c - d)) * x +
+ (c - a)) *
+ x +
+ b;
}
CCL_NAMESPACE_END
@@ -376,26 +394,22 @@ CCL_NAMESPACE_BEGIN
#ifndef __KERNEL_OPENCL__
/* Interpolation */
-template<class A, class B> A lerp(const A& a, const A& b, const B& t)
+template<class A, class B> A lerp(const A &a, const A &b, const B &t)
{
- return (A)(a * ((B)1 - t) + b * t);
+ return (A)(a * ((B)1 - t) + b * t);
}
-#endif /* __KERNEL_OPENCL__ */
+#endif /* __KERNEL_OPENCL__ */
/* Triangle */
#ifndef __KERNEL_OPENCL__
-ccl_device_inline float triangle_area(const float3& v1,
- const float3& v2,
- const float3& v3)
+ccl_device_inline float triangle_area(const float3 &v1, const float3 &v2, const float3 &v3)
#else
-ccl_device_inline float triangle_area(const float3 v1,
- const float3 v2,
- const float3 v3)
+ccl_device_inline float triangle_area(const float3 v1, const float3 v2, const float3 v3)
#endif
{
- return len(cross(v3 - v2, v1 - v2))*0.5f;
+ return len(cross(v3 - v2, v1 - v2)) * 0.5f;
}
/* Orthonormal vectors */
@@ -403,240 +417,240 @@ ccl_device_inline float triangle_area(const float3 v1,
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;
- }
+ 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
+ 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);
+ *a = normalize(*a);
+ *b = cross(N, *a);
}
/* Color division */
ccl_device_inline float3 safe_invert_color(float3 a)
{
- float x, y, z;
+ 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;
+ 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);
+ return make_float3(x, y, z);
}
ccl_device_inline float3 safe_divide_color(float3 a, float3 b)
{
- float x, y, z;
+ 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;
+ 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);
+ 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 gray 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);
+ 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 gray 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;
+ 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.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.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);
+ 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;
+ return r;
}
/* NaN-safe math ops */
ccl_device_inline float safe_sqrtf(float f)
{
- return sqrtf(max(f, 0.0f));
+ return sqrtf(max(f, 0.0f));
}
ccl_device float safe_asinf(float a)
{
- return asinf(clamp(a, -1.0f, 1.0f));
+ return asinf(clamp(a, -1.0f, 1.0f));
}
ccl_device float safe_acosf(float a)
{
- return acosf(clamp(a, -1.0f, 1.0f));
+ 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;
+ 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);
+ 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;
+ if (UNLIKELY(a < 0.0f && b != float_to_int(b)))
+ return 0.0f;
- return compatible_powf(a, b);
+ return compatible_powf(a, b);
}
ccl_device float safe_divide(float a, float b)
{
- return (b != 0.0f)? a/b: 0.0f;
+ return (b != 0.0f) ? a / b : 0.0f;
}
ccl_device float safe_logf(float a, float b)
{
- if(UNLIKELY(a <= 0.0f || b <= 0.0f))
- return 0.0f;
+ if (UNLIKELY(a <= 0.0f || b <= 0.0f))
+ return 0.0f;
- return safe_divide(logf(a),logf(b));
+ return safe_divide(logf(a), logf(b));
}
ccl_device float safe_modulo(float a, float b)
{
- return (b != 0.0f)? fmodf(a, b): 0.0f;
+ return (b != 0.0f) ? fmodf(a, b) : 0.0f;
}
ccl_device_inline float sqr(float a)
{
- return a * a;
+ return a * a;
}
ccl_device_inline float pow20(float a)
{
- return sqr(sqr(sqr(sqr(a))*a));
+ return sqr(sqr(sqr(sqr(a)) * a));
}
ccl_device_inline float pow22(float a)
{
- return sqr(a*sqr(sqr(sqr(a))*a));
+ return sqr(a * sqr(sqr(sqr(a)) * a));
}
ccl_device_inline float beta(float x, float y)
{
#ifndef __KERNEL_OPENCL__
- return expf(lgammaf(x) + lgammaf(y) - lgammaf(x+y));
+ return expf(lgammaf(x) + lgammaf(y) - lgammaf(x + y));
#else
- return expf(lgamma(x) + lgamma(y) - lgamma(x+y));
+ return expf(lgamma(x) + lgamma(y) - lgamma(x + y));
#endif
}
ccl_device_inline float xor_signmask(float x, int y)
{
- return __int_as_float(__float_as_int(x) ^ y);
+ return __int_as_float(__float_as_int(x) ^ y);
}
ccl_device float bits_to_01(uint bits)
{
- return bits * (1.0f/(float)0xFFFFFFFF);
+ return bits * (1.0f / (float)0xFFFFFFFF);
}
/* 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);
+ 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);
+ 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_NAMESPACE_END
-#endif /* __UTIL_MATH_H__ */
+#endif /* __UTIL_MATH_H__ */