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Diffstat (limited to 'intern/cycles/util/math_float3.h')
-rw-r--r--intern/cycles/util/math_float3.h530
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diff --git a/intern/cycles/util/math_float3.h b/intern/cycles/util/math_float3.h
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+/*
+ * Copyright 2011-2017 Blender Foundation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __UTIL_MATH_FLOAT3_H__
+#define __UTIL_MATH_FLOAT3_H__
+
+#ifndef __UTIL_MATH_H__
+# error "Do not include this file directly, include util/types.h instead."
+#endif
+
+CCL_NAMESPACE_BEGIN
+
+/*******************************************************************************
+ * Declaration.
+ */
+
+ccl_device_inline float3 operator-(const float3 &a);
+ccl_device_inline float3 operator*(const float3 &a, const float3 &b);
+ccl_device_inline float3 operator*(const float3 &a, const float f);
+ccl_device_inline float3 operator*(const float f, const float3 &a);
+ccl_device_inline float3 operator/(const float f, const float3 &a);
+ccl_device_inline float3 operator/(const float3 &a, const float f);
+ccl_device_inline float3 operator/(const float3 &a, const float3 &b);
+ccl_device_inline float3 operator+(const float3 &a, const float f);
+ccl_device_inline float3 operator+(const float3 &a, const float3 &b);
+ccl_device_inline float3 operator-(const float3 &a, const float f);
+ccl_device_inline float3 operator-(const float3 &a, const float3 &b);
+ccl_device_inline float3 operator+=(float3 &a, const float3 &b);
+ccl_device_inline float3 operator-=(float3 &a, const float3 &b);
+ccl_device_inline float3 operator*=(float3 &a, const float3 &b);
+ccl_device_inline float3 operator*=(float3 &a, float f);
+ccl_device_inline float3 operator/=(float3 &a, const float3 &b);
+ccl_device_inline float3 operator/=(float3 &a, float f);
+
+ccl_device_inline bool operator==(const float3 &a, const float3 &b);
+ccl_device_inline bool operator!=(const float3 &a, const float3 &b);
+
+ccl_device_inline float distance(const float3 &a, const float3 &b);
+ccl_device_inline float dot(const float3 &a, const float3 &b);
+ccl_device_inline float dot_xy(const float3 &a, const float3 &b);
+ccl_device_inline float3 cross(const float3 &a, const float3 &b);
+ccl_device_inline float3 normalize(const float3 &a);
+ccl_device_inline float3 min(const float3 &a, const float3 &b);
+ccl_device_inline float3 max(const float3 &a, const float3 &b);
+ccl_device_inline float3 clamp(const float3 &a, const float3 &mn, const float3 &mx);
+ccl_device_inline float3 fabs(const float3 &a);
+ccl_device_inline float3 mix(const float3 &a, const float3 &b, float t);
+ccl_device_inline float3 rcp(const float3 &a);
+ccl_device_inline float3 sqrt(const float3 &a);
+ccl_device_inline float3 floor(const float3 &a);
+ccl_device_inline float3 ceil(const float3 &a);
+
+ccl_device_inline float min3(float3 a);
+ccl_device_inline float max3(float3 a);
+ccl_device_inline float len(const float3 a);
+ccl_device_inline float len_squared(const float3 a);
+
+ccl_device_inline float3 reflect(const float3 incident, const float3 normal);
+ccl_device_inline float3 project(const float3 v, const float3 v_proj);
+
+ccl_device_inline float3 saturate3(float3 a);
+ccl_device_inline float3 safe_normalize(const float3 a);
+ccl_device_inline float3 normalize_len(const float3 a, float *t);
+ccl_device_inline float3 safe_normalize_len(const float3 a, float *t);
+ccl_device_inline float3 safe_divide_float3_float3(const float3 a, const float3 b);
+ccl_device_inline float3 safe_divide_float3_float(const float3 a, const float b);
+ccl_device_inline float3 interp(float3 a, float3 b, float t);
+ccl_device_inline float3 sqr3(float3 a);
+
+ccl_device_inline bool is_zero(const float3 a);
+ccl_device_inline float reduce_add(const float3 a);
+ccl_device_inline float average(const float3 a);
+ccl_device_inline bool isequal_float3(const float3 a, const float3 b);
+
+/*******************************************************************************
+ * Definition.
+ */
+
+ccl_device_inline float3 zero_float3()
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_setzero_ps());
+#else
+ return make_float3(0.0f, 0.0f, 0.0f);
+#endif
+}
+
+ccl_device_inline float3 one_float3()
+{
+ return make_float3(1.0f, 1.0f, 1.0f);
+}
+
+ccl_device_inline float3 operator-(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_xor_ps(a.m128, _mm_castsi128_ps(_mm_set1_epi32(0x80000000))));
+#else
+ return make_float3(-a.x, -a.y, -a.z);
+#endif
+}
+
+ccl_device_inline float3 operator*(const float3 &a, const float3 &b)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_mul_ps(a.m128, b.m128));
+#else
+ return make_float3(a.x * b.x, a.y * b.y, a.z * b.z);
+#endif
+}
+
+ccl_device_inline float3 operator*(const float3 &a, const float f)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_mul_ps(a.m128, _mm_set1_ps(f)));
+#else
+ return make_float3(a.x * f, a.y * f, a.z * f);
+#endif
+}
+
+ccl_device_inline float3 operator*(const float f, const float3 &a)
+{
+#if defined(__KERNEL_SSE__)
+ return float3(_mm_mul_ps(_mm_set1_ps(f), a.m128));
+#else
+ return make_float3(a.x * f, a.y * f, a.z * f);
+#endif
+}
+
+ccl_device_inline float3 operator/(const float f, const float3 &a)
+{
+#if defined(__KERNEL_SSE__)
+ return float3(_mm_div_ps(_mm_set1_ps(f), a.m128));
+#else
+ return make_float3(f / a.x, f / a.y, f / a.z);
+#endif
+}
+
+ccl_device_inline float3 operator/(const float3 &a, const float f)
+{
+ float invf = 1.0f / f;
+ return a * invf;
+}
+
+ccl_device_inline float3 operator/(const float3 &a, const float3 &b)
+{
+#if defined(__KERNEL_SSE__)
+ return float3(_mm_div_ps(a.m128, b.m128));
+#else
+ return make_float3(a.x / b.x, a.y / b.y, a.z / b.z);
+#endif
+}
+
+ccl_device_inline float3 operator+(const float3 &a, const float f)
+{
+ return a + make_float3(f, f, f);
+}
+
+ccl_device_inline float3 operator+(const float3 &a, const float3 &b)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_add_ps(a.m128, b.m128));
+#else
+ return make_float3(a.x + b.x, a.y + b.y, a.z + b.z);
+#endif
+}
+
+ccl_device_inline float3 operator-(const float3 &a, const float f)
+{
+ return a - make_float3(f, f, f);
+}
+
+ccl_device_inline float3 operator-(const float3 &a, const float3 &b)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_sub_ps(a.m128, b.m128));
+#else
+ return make_float3(a.x - b.x, a.y - b.y, a.z - b.z);
+#endif
+}
+
+ccl_device_inline float3 operator+=(float3 &a, const float3 &b)
+{
+ return a = a + b;
+}
+
+ccl_device_inline float3 operator-=(float3 &a, const float3 &b)
+{
+ return a = a - b;
+}
+
+ccl_device_inline float3 operator*=(float3 &a, const float3 &b)
+{
+ return a = a * b;
+}
+
+ccl_device_inline float3 operator*=(float3 &a, float f)
+{
+ return a = a * f;
+}
+
+ccl_device_inline float3 operator/=(float3 &a, const float3 &b)
+{
+ return a = a / b;
+}
+
+ccl_device_inline float3 operator/=(float3 &a, float f)
+{
+ float invf = 1.0f / f;
+ return a = a * invf;
+}
+
+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 float distance(const float3 &a, const float3 &b)
+{
+ return len(a - b);
+}
+
+ccl_device_inline float dot(const float3 &a, const float3 &b)
+{
+#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
+ return _mm_cvtss_f32(_mm_dp_ps(a, b, 0x7F));
+#else
+ return a.x * b.x + a.y * b.y + a.z * b.z;
+#endif
+}
+
+ccl_device_inline float dot_xy(const float3 &a, const float3 &b)
+{
+#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
+ return _mm_cvtss_f32(_mm_hadd_ps(_mm_mul_ps(a, b), b));
+#else
+ return a.x * b.x + a.y * b.y;
+#endif
+}
+
+ccl_device_inline float3 cross(const float3 &a, const float3 &b)
+{
+ 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);
+ return r;
+}
+
+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 float3(_mm_div_ps(a.m128, norm));
+#else
+ return a / len(a);
+#endif
+}
+
+ccl_device_inline float3 min(const float3 &a, const float3 &b)
+{
+#ifdef __KERNEL_SSE__
+ 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
+}
+
+ccl_device_inline float3 max(const float3 &a, const float3 &b)
+{
+#ifdef __KERNEL_SSE__
+ 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
+}
+
+ccl_device_inline float3 clamp(const float3 &a, const float3 &mn, const float3 &mx)
+{
+ return min(max(a, mn), mx);
+}
+
+ccl_device_inline float3 fabs(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+# ifdef __KERNEL_NEON__
+ return float3(vabsq_f32(a.m128));
+# else
+ __m128 mask = _mm_castsi128_ps(_mm_set1_epi32(0x7fffffff));
+ return float3(_mm_and_ps(a.m128, mask));
+# endif
+#else
+ return make_float3(fabsf(a.x), fabsf(a.y), fabsf(a.z));
+#endif
+}
+
+ccl_device_inline float3 sqrt(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_sqrt_ps(a));
+#else
+ return make_float3(sqrtf(a.x), sqrtf(a.y), sqrtf(a.z));
+#endif
+}
+
+ccl_device_inline float3 floor(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_floor_ps(a));
+#else
+ return make_float3(floorf(a.x), floorf(a.y), floorf(a.z));
+#endif
+}
+
+ccl_device_inline float3 ceil(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+ return float3(_mm_ceil_ps(a));
+#else
+ return make_float3(ceilf(a.x), ceilf(a.y), ceilf(a.z));
+#endif
+}
+
+ccl_device_inline float3 mix(const float3 &a, const float3 &b, float t)
+{
+ return a + t * (b - a);
+}
+
+ccl_device_inline float3 rcp(const float3 &a)
+{
+#ifdef __KERNEL_SSE__
+ /* Don't use _mm_rcp_ps due to poor precision. */
+ return float3(_mm_div_ps(_mm_set_ps1(1.0f), a.m128));
+#else
+ return make_float3(1.0f / a.x, 1.0f / a.y, 1.0f / a.z);
+#endif
+}
+
+ccl_device_inline float min3(float3 a)
+{
+ return min(min(a.x, a.y), a.z);
+}
+
+ccl_device_inline float max3(float3 a)
+{
+ return max(max(a.x, a.y), a.z);
+}
+
+ccl_device_inline float len(const float3 a)
+{
+#if defined(__KERNEL_SSE41__) && defined(__KERNEL_SSE__)
+ return _mm_cvtss_f32(_mm_sqrt_ss(_mm_dp_ps(a.m128, a.m128, 0x7F)));
+#else
+ return sqrtf(dot(a, a));
+#endif
+}
+
+ccl_device_inline float len_squared(const float3 a)
+{
+ return dot(a, a);
+}
+
+ccl_device_inline float3 reflect(const float3 incident, const float3 normal)
+{
+ float3 unit_normal = normalize(normal);
+ return incident - 2.0f * unit_normal * dot(incident, unit_normal);
+}
+
+ccl_device_inline float3 refract(const float3 incident, const float3 normal, const float eta)
+{
+ float k = 1.0f - eta * eta * (1.0f - dot(normal, incident) * dot(normal, incident));
+ if (k < 0.0f)
+ return zero_float3();
+ else
+ return eta * incident - (eta * dot(normal, incident) + sqrt(k)) * normal;
+}
+
+ccl_device_inline float3 faceforward(const float3 vector,
+ const float3 incident,
+ const float3 reference)
+{
+ return (dot(reference, incident) < 0.0f) ? vector : -vector;
+}
+
+ccl_device_inline float3 project(const float3 v, const float3 v_proj)
+{
+ float len_squared = dot(v_proj, v_proj);
+ return (len_squared != 0.0f) ? (dot(v, v_proj) / len_squared) * v_proj : zero_float3();
+}
+
+ccl_device_inline float3 saturate3(float3 a)
+{
+ return make_float3(saturatef(a.x), saturatef(a.y), saturatef(a.z));
+}
+
+ccl_device_inline float3 normalize_len(const float3 a, ccl_private float *t)
+{
+ *t = len(a);
+ float x = 1.0f / *t;
+ return a * x;
+}
+
+ccl_device_inline float3 safe_normalize(const float3 a)
+{
+ float t = len(a);
+ return (t != 0.0f) ? a * (1.0f / t) : a;
+}
+
+ccl_device_inline float3 safe_normalize_len(const float3 a, ccl_private float *t)
+{
+ *t = len(a);
+ return (*t != 0.0f) ? a / (*t) : a;
+}
+
+ccl_device_inline float3 safe_divide_float3_float3(const float3 a, const float3 b)
+{
+ return make_float3((b.x != 0.0f) ? a.x / b.x : 0.0f,
+ (b.y != 0.0f) ? a.y / b.y : 0.0f,
+ (b.z != 0.0f) ? a.z / b.z : 0.0f);
+}
+
+ccl_device_inline float3 safe_divide_float3_float(const float3 a, const float b)
+{
+ return (b != 0.0f) ? a / b : zero_float3();
+}
+
+ccl_device_inline float3 interp(float3 a, float3 b, float t)
+{
+ return a + t * (b - a);
+}
+
+ccl_device_inline float3 sqr3(float3 a)
+{
+ return a * a;
+}
+
+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)
+{
+#if defined(__KERNEL_SSE__) && defined(__KERNEL_NEON__)
+ __m128 t = a.m128;
+ t[3] = 0.0f;
+ return vaddvq_f32(t);
+#else
+ return (a.x + a.y + a.z);
+#endif
+}
+
+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)
+{
+ return a == b;
+}
+
+ccl_device_inline float3 pow3(float3 v, float e)
+{
+ return make_float3(powf(v.x, e), powf(v.y, e), powf(v.z, e));
+}
+
+ccl_device_inline float3 exp3(float3 v)
+{
+ return make_float3(expf(v.x), expf(v.y), expf(v.z));
+}
+
+ccl_device_inline float3 log3(float3 v)
+{
+ return make_float3(logf(v.x), logf(v.y), logf(v.z));
+}
+
+ccl_device_inline int3 quick_floor_to_int3(const float3 a)
+{
+#ifdef __KERNEL_SSE__
+ int3 b = int3(_mm_cvttps_epi32(a.m128));
+ int3 isneg = int3(_mm_castps_si128(_mm_cmplt_ps(a.m128, _mm_set_ps1(0.0f))));
+ /* Unsaturated add 0xffffffff is the same as subtract -1. */
+ return b + isneg;
+#else
+ return make_int3(quick_floor_to_int(a.x), quick_floor_to_int(a.y), quick_floor_to_int(a.z));
+#endif
+}
+
+ccl_device_inline bool isfinite3_safe(float3 v)
+{
+ return isfinite_safe(v.x) && isfinite_safe(v.y) && isfinite_safe(v.z);
+}
+
+ccl_device_inline float3 ensure_finite3(float3 v)
+{
+ if (!isfinite_safe(v.x))
+ v.x = 0.0f;
+ if (!isfinite_safe(v.y))
+ v.y = 0.0f;
+ if (!isfinite_safe(v.z))
+ v.z = 0.0f;
+ return v;
+}
+
+CCL_NAMESPACE_END
+
+#endif /* __UTIL_MATH_FLOAT3_H__ */