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Diffstat (limited to 'intern/cycles/util/util_math_intersect.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_INTERSECT_H__
+#define __UTIL_MATH_INTERSECT_H__
+
+CCL_NAMESPACE_BEGIN
+
+/* 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)
+{
+ const float3 d = sphere_P - ray_P;
+ const float radiussq = sphere_radius*sphere_radius;
+ const float tsq = dot(d, d);
+
+ if(tsq > radiussq) {
+ /* Ray origin outside sphere. */
+ const float tp = dot(d, ray_D);
+ if(tp < 0.0f) {
+ /* Ray points away from sphere. */
+ return false;
+ }
+ const float dsq = tsq - tp*tp; /* pythagoras */
+ if(dsq > radiussq) {
+ /* Closest point on ray outside sphere. */
+ return false;
+ }
+ const 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;
+ const float3 disk_N = normalize_len(ray_P - disk_P, &disk_t);
+ const float div = dot(ray_D, disk_N);
+ if(UNLIKELY(div == 0.0f)) {
+ return false;
+ }
+ /* Compute t to intersection point. */
+ const 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;
+}
+
+#if defined(__KERNEL_CUDA__) && __CUDA_ARCH__ < 300
+ccl_device_inline
+#else
+ccl_device_forceinline
+#endif
+bool ray_triangle_intersect(
+ float3 ray_P, float3 ray_dir, float ray_t,
+#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
+ const ssef *ssef_verts,
+#else
+ const float3 tri_a, const float3 tri_b, const float3 tri_c,
+#endif
+ float *isect_u, float *isect_v, float *isect_t)
+{
+#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
+ typedef ssef float3;
+ const float3 tri_a(ssef_verts[0]);
+ const float3 tri_b(ssef_verts[1]);
+ const float3 tri_c(ssef_verts[2]);
+ const float3 P(ray_P);
+ const float3 dir(ray_dir);
+#else
+# define dot3(a, b) dot(a, b)
+ const float3 P = ray_P;
+ const float3 dir = ray_dir;
+#endif
+
+ /* Calculate vertices relative to ray origin. */
+ const float3 v0 = tri_c - P;
+ const float3 v1 = tri_a - P;
+ const float3 v2 = tri_b - P;
+
+ /* Calculate triangle edges. */
+ const float3 e0 = v2 - v0;
+ const float3 e1 = v0 - v1;
+ const float3 e2 = v1 - v2;
+
+ /* Perform edge tests. */
+#ifdef __KERNEL_SSE2__
+ const float3 crossU = cross(v2 + v0, e0);
+ const float3 crossV = cross(v0 + v1, e1);
+ const float3 crossW = cross(v1 + v2, e2);
+# ifndef __KERNEL_SSE__
+ const ssef crossX(crossU.x, crossV.x, crossW.x, crossW.x);
+ const ssef crossY(crossU.y, crossV.y, crossW.y, crossW.y);
+ const ssef crossZ(crossU.z, crossV.z, crossW.z, crossW.z);
+# else
+ ssef crossX(crossU);
+ ssef crossY(crossV);
+ ssef crossZ(crossW);
+ ssef zero = _mm_setzero_ps();
+ _MM_TRANSPOSE4_PS(crossX, crossY, crossZ, zero);
+# endif
+ const ssef dirX(ray_dir.x);
+ const ssef dirY(ray_dir.y);
+ const ssef dirZ(ray_dir.z);
+ /*const*/ ssef UVWW = crossX*dirX + crossY*dirY + crossZ*dirZ;
+ const float minUVW = reduce_min(UVWW);
+ const float maxUVW = reduce_max(UVWW);
+#else /* __KERNEL_SSE2__ */
+ const float U = dot(cross(v2 + v0, e0), ray_dir);
+ const float V = dot(cross(v0 + v1, e1), ray_dir);
+ const float W = dot(cross(v1 + v2, e2), ray_dir);
+ const float minUVW = min(U, min(V, W));
+ const float maxUVW = max(U, max(V, W));
+#endif /* __KERNEL_SSE2__ */
+
+ if(minUVW < 0.0f && maxUVW > 0.0f) {
+ return false;
+ }
+
+ /* Calculate geometry normal and denominator. */
+ const float3 Ng1 = cross(e1, e0);
+ //const Vec3vfM Ng1 = stable_triangle_normal(e2,e1,e0);
+ const float3 Ng = Ng1 + Ng1;
+ const float den = dot3(Ng, dir);
+ /* Avoid division by 0. */
+ if(UNLIKELY(den == 0.0f)) {
+ return false;
+ }
+
+ /* Perform depth test. */
+ const float T = dot3(v0, Ng);
+ const int sign_den = (__float_as_int(den) & 0x80000000);
+ const float sign_T = xor_signmask(T, sign_den);
+ if((sign_T < 0.0f) ||
+ (sign_T > ray_t * xor_signmask(den, sign_den)))
+ {
+ return false;
+ }
+
+ const float inv_den = 1.0f / den;
+#ifdef __KERNEL_SSE2__
+ UVWW *= inv_den;
+ _mm_store_ss(isect_u, UVWW);
+ _mm_store_ss(isect_v, shuffle<1,1,3,3>(UVWW));
+#else
+ *isect_u = U * inv_den;
+ *isect_v = V * inv_den;
+#endif
+ *isect_t = T * inv_den;
+ return true;
+
+#undef dot3
+}
+
+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)
+{
+ /* Perform intersection test. */
+ 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;
+ }
+ const float3 hit = ray_P + t*ray_D;
+ const float3 inplane = hit - quad_P;
+ const float u = dot(inplane, quad_u) / dot(quad_u, quad_u) + 0.5f;
+ if(u < 0.0f || u > 1.0f) {
+ return false;
+ }
+ const float v = dot(inplane, quad_v) / dot(quad_v, quad_v) + 0.5f;
+ if(v < 0.0f || v > 1.0f) {
+ return false;
+ }
+ /* Store the result. */
+ /* TODO(sergey): Check whether we can avoid some checks here. */
+ if(isect_P != NULL) *isect_P = hit;
+ if(isect_t != NULL) *isect_t = t;
+ if(isect_u != NULL) *isect_u = u;
+ if(isect_v != NULL) *isect_v = v;
+ return true;
+}
+
+CCL_NAMESPACE_END
+
+#endif /* __UTIL_MATH_INTERSECT_H__ */