diff options
Diffstat (limited to 'intern/cycles/util/util_math.h')
| -rw-r--r-- | intern/cycles/util/util_math.h | 312 |
1 files changed, 65 insertions, 247 deletions
diff --git a/intern/cycles/util/util_math.h b/intern/cycles/util/util_math.h index 27d4ae510c7..77781ed4574 100644 --- a/intern/cycles/util/util_math.h +++ b/intern/cycles/util/util_math.h @@ -35,7 +35,7 @@ #endif -#include "util_types.h" +#include "util/util_types.h" CCL_NAMESPACE_BEGIN @@ -606,7 +606,7 @@ ccl_device_inline float3 normalize(const float3& a) { #if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__) __m128 norm = _mm_sqrt_ps(_mm_dp_ps(a.m128, a.m128, 0x7F)); - return _mm_div_ps(a.m128, norm); + return float3(_mm_div_ps(a.m128, norm)); #else return a/len(a); #endif @@ -657,7 +657,7 @@ ccl_device_inline bool operator!=(const float3& a, const float3& b) ccl_device_inline float3 min(const float3& a, const float3& b) { #ifdef __KERNEL_SSE__ - return _mm_min_ps(a.m128, b.m128); + return float3(_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 @@ -666,7 +666,7 @@ ccl_device_inline float3 min(const float3& a, const float3& b) ccl_device_inline float3 max(const float3& a, const float3& b) { #ifdef __KERNEL_SSE__ - return _mm_max_ps(a.m128, b.m128); + return float3(_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 @@ -681,7 +681,7 @@ ccl_device_inline float3 fabs(const float3& a) { #ifdef __KERNEL_SSE__ __m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x7fffffff)); - return _mm_and_ps(a.m128, mask); + return float3(_mm_and_ps(a.m128, mask)); #else return make_float3(fabsf(a.x), fabsf(a.y), fabsf(a.z)); #endif @@ -714,8 +714,9 @@ ccl_device_inline void print_float3(const char *label, const float3& a) 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)); + const float4 r(_mm_rcp_ps(a.m128)); + return float3(_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 @@ -769,24 +770,29 @@ ccl_device_inline bool isequal_float3(const float3 a, const float3 b) #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) +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))); + return float4(_mm_castsi128_ps( + _mm_shuffle_epi32(_mm_castps_si128(b), + _MM_SHUFFLE(index_3, index_2, index_1, index_0)))); } +#if defined(__KERNEL_SSE3__) template<> __forceinline const float4 shuffle<0, 0, 2, 2>(const float4& b) { - return _mm_moveldup_ps(b); + return float4(_mm_moveldup_ps(b)); } template<> __forceinline const float4 shuffle<1, 1, 3, 3>(const float4& b) { - return _mm_movehdup_ps(b); + return float4(_mm_movehdup_ps(b)); } +#endif template<> __forceinline const float4 shuffle<0, 1, 0, 1>(const float4& b) { - return _mm_castpd_ps(_mm_movedup_pd(_mm_castps_pd(b))); + return float4(_mm_castpd_ps(_mm_movedup_pd(_mm_castps_pd(b)))); } #endif @@ -797,7 +803,7 @@ 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); + return float4(_mm_xor_ps(a.m128, mask)); #else return make_float4(-a.x, -a.y, -a.z, -a.w); #endif @@ -806,7 +812,7 @@ ccl_device_inline float4 operator-(const float4& a) ccl_device_inline float4 operator*(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_mul_ps(a.m128, b.m128); + return float4(_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 @@ -829,8 +835,9 @@ ccl_device_inline float4 operator*(float f, const float4& a) 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)); + float4 r(_mm_rcp_ps(a.m128)); + return float4(_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 @@ -854,7 +861,7 @@ ccl_device_inline float4 operator/(const float4& a, const float4& b) ccl_device_inline float4 operator+(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_add_ps(a.m128, b.m128); + return float4(_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 @@ -863,7 +870,7 @@ ccl_device_inline float4 operator+(const float4& a, const float4& b) ccl_device_inline float4 operator-(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_sub_ps(a.m128, b.m128); + return float4(_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 @@ -887,7 +894,8 @@ ccl_device_inline float4 operator/=(float4& a, float 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 */ + /* TODO(sergey): avoid cvt. */ + return int4(_mm_cvtps_epi32(_mm_cmplt_ps(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 @@ -896,7 +904,8 @@ ccl_device_inline int4 operator<(const float4& a, const float4& b) ccl_device_inline int4 operator>=(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_cvtps_epi32(_mm_cmpge_ps(a.m128, b.m128)); /* todo: avoid cvt */ + /* TODO(sergey): avoid cvt. */ + return int4(_mm_cvtps_epi32(_mm_cmpge_ps(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 @@ -905,7 +914,8 @@ ccl_device_inline int4 operator>=(const float4& a, const float4& b) 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 */ + /* TODO(sergey): avoid cvt. */ + return int4(_mm_cvtps_epi32(_mm_cmple_ps(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 @@ -941,8 +951,9 @@ ccl_device_inline bool is_zero(const float4& a) 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? */ + float4 h(shuffle<1,0,3,2>(a) + a); + /* TODO(sergey): Investigate efficiency. */ + return _mm_cvtss_f32(shuffle<2,3,0,1>(h) + h); #else return ((a.x + a.y) + (a.z + a.w)); #endif @@ -972,7 +983,7 @@ ccl_device_inline float4 safe_normalize(const float4& a) ccl_device_inline float4 min(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_min_ps(a.m128, b.m128); + return float4(_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 @@ -981,7 +992,7 @@ ccl_device_inline float4 min(const float4& a, const float4& b) ccl_device_inline float4 max(const float4& a, const float4& b) { #ifdef __KERNEL_SSE__ - return _mm_max_ps(a.m128, b.m128); + return float4(_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 @@ -994,7 +1005,9 @@ ccl_device_inline float4 max(const float4& a, const float4& b) 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 */ + /* TODO(sergey): avoid cvt. */ + return float4(_mm_or_ps(_mm_and_ps(_mm_cvtepi32_ps(mask), a), + _mm_andnot_ps(_mm_cvtepi32_ps(mask), b))); #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 @@ -1077,7 +1090,7 @@ ccl_device_inline int2 operator/(const int2 &a, const int2 &b) ccl_device_inline int3 min(int3 a, int3 b) { #if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__) - return _mm_min_epi32(a.m128, b.m128); + return int3(_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 @@ -1086,7 +1099,7 @@ ccl_device_inline int3 min(int3 a, int3 b) ccl_device_inline int3 max(int3 a, int3 b) { #if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__) - return _mm_max_epi32(a.m128, b.m128); + return int3(_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 @@ -1128,7 +1141,7 @@ ccl_device_inline void print_int3(const char *label, const int3& a) ccl_device_inline int4 operator+(const int4& a, const int4& b) { #ifdef __KERNEL_SSE__ - return _mm_add_epi32(a.m128, b.m128); + return int4(_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 @@ -1142,7 +1155,7 @@ ccl_device_inline int4 operator+=(int4& a, const int4& b) ccl_device_inline int4 operator>>(const int4& a, int i) { #ifdef __KERNEL_SSE__ - return _mm_srai_epi32(a.m128, i); + return int4(_mm_srai_epi32(a.m128, i)); #else return make_int4(a.x >> i, a.y >> i, a.z >> i, a.w >> i); #endif @@ -1151,7 +1164,7 @@ ccl_device_inline int4 operator>>(const int4& a, int i) ccl_device_inline int4 min(int4 a, int4 b) { #if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__) - return _mm_min_epi32(a.m128, b.m128); + return int4(_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 @@ -1160,7 +1173,7 @@ ccl_device_inline int4 min(int4 a, int4 b) ccl_device_inline int4 max(int4 a, int4 b) { #if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__) - return _mm_max_epi32(a.m128, b.m128); + return int4(_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 @@ -1174,8 +1187,10 @@ ccl_device_inline int4 clamp(const int4& a, const int4& mn, const int4& 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 */ + const __m128 m = _mm_cvtepi32_ps(mask); + /* TODO(sergey): avoid cvt. */ + return int4(_mm_castps_si128(_mm_or_ps(_mm_and_ps(m, _mm_castsi128_ps(a)), + _mm_andnot_ps(m, _mm_castsi128_ps(b))))); #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 @@ -1241,19 +1256,6 @@ ccl_device_inline float __uint_as_float(uint i) return u.f; } -/* 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; -} - -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 || (f != 2.0f*f)); -} /* Interpolation */ @@ -1271,6 +1273,20 @@ ccl_device_inline float triangle_area(const float3& v1, const float3& v2, const #endif +/* 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; +} + +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 || (f != 2.0f*f)) && !((x << 1) > 0xff000000u); +} + /* Orthonormal vectors */ ccl_device_inline void make_orthonormals(const float3 N, float3 *a, float3 *b) @@ -1451,181 +1467,9 @@ ccl_device_inline float beta(float x, float 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) +ccl_device_inline float xor_signmask(float x, int y) { - /* 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 *isect_u, float *isect_v) -{ - 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; - - float u = dot(inplane, quad_u) / dot(quad_u, quad_u) + 0.5f; - if(u < 0.0f || u > 1.0f) - return false; - - float v = dot(inplane, quad_v) / dot(quad_v, quad_v) + 0.5f; - if(v < 0.0f || v > 1.0f) - return false; - - if(isect_P) *isect_P = hit; - if(isect_t) *isect_t = t; - if(isect_u) *isect_u = u; - if(isect_v) *isect_v = v; - - return true; + return __int_as_float(__float_as_int(x) ^ y); } /* projections */ @@ -1662,32 +1506,6 @@ ccl_device_inline float2 map_to_sphere(const float3 co) return make_float2(u, v); } -ccl_device_inline int util_max_axis(float3 vec) -{ -#ifdef __KERNEL_SSE__ - __m128 a = shuffle<0,0,1,1>(vec.m128); - __m128 b = shuffle<1,2,2,1>(vec.m128); - __m128 c = _mm_cmpgt_ps(a, b); - int mask = _mm_movemask_ps(c) & 0x7; - static const char tab[8] = {2, 2, 2, 0, 1, 2, 1, 0}; - return tab[mask]; -#else - 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; - } -#endif -} - CCL_NAMESPACE_END #endif /* __UTIL_MATH_H__ */ - |