blender/intern/cycles/kernel/kernel_bvh.h
Brecht Van Lommel 7c9d993347 Fix cycles intersection issue with overlapping faces on windows 32 bit and CPU
without SSE3 support, due to 80 bit precision float register being used for one
bounding box but not the one next to it.
2013-02-04 16:12:37 +00:00

1174 lines
33 KiB
C

/*
* Adapted from code Copyright 2009-2010 NVIDIA Corporation
* Modifications Copyright 2011, 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.
*/
CCL_NAMESPACE_BEGIN
/*
* "Persistent while-while kernel" used in:
*
* "Understanding the Efficiency of Ray Traversal on GPUs",
* Timo Aila and Samuli Laine,
* Proc. High-Performance Graphics 2009
*/
/* bottom-most stack entry, indicating the end of traversal */
#define ENTRYPOINT_SENTINEL 0x76543210
/* 64 object BVH + 64 mesh BVH + 64 object node splitting */
#define BVH_STACK_SIZE 192
#define BVH_NODE_SIZE 4
#define TRI_NODE_SIZE 3
/* silly workaround for float extended precision that happens when compiling
* without sse support on x86, it results in different results for float ops
* that you would otherwise expect to compare correctly */
#if !defined(__i386__) || defined(__SSE__)
#define NO_EXTENDED_PRECISION
#else
#define NO_EXTENDED_PRECISION volatile
#endif
__device_inline float3 bvh_inverse_direction(float3 dir)
{
/* avoid divide by zero (ooeps = exp2f(-80.0f)) */
float ooeps = 0.00000000000000000000000082718061255302767487140869206996285356581211090087890625f;
float3 idir;
idir.x = 1.0f/((fabsf(dir.x) > ooeps)? dir.x: copysignf(ooeps, dir.x));
idir.y = 1.0f/((fabsf(dir.y) > ooeps)? dir.y: copysignf(ooeps, dir.y));
idir.z = 1.0f/((fabsf(dir.z) > ooeps)? dir.z: copysignf(ooeps, dir.z));
return idir;
}
__device_inline void bvh_instance_push(KernelGlobals *kg, int object, const Ray *ray, float3 *P, float3 *idir, float *t, const float tmax)
{
Transform tfm = object_fetch_transform(kg, object, OBJECT_INVERSE_TRANSFORM);
*P = transform_point(&tfm, ray->P);
float3 dir = transform_direction(&tfm, ray->D);
float len;
dir = normalize_len(dir, &len);
*idir = bvh_inverse_direction(dir);
if(*t != FLT_MAX)
*t *= len;
}
__device_inline void bvh_instance_pop(KernelGlobals *kg, int object, const Ray *ray, float3 *P, float3 *idir, float *t, const float tmax)
{
if(*t != FLT_MAX) {
Transform tfm = object_fetch_transform(kg, object, OBJECT_TRANSFORM);
*t *= len(transform_direction(&tfm, 1.0f/(*idir)));
}
*P = ray->P;
*idir = bvh_inverse_direction(ray->D);
}
#ifdef __OBJECT_MOTION__
__device_inline void bvh_instance_motion_push(KernelGlobals *kg, int object, const Ray *ray, float3 *P, float3 *idir, float *t, Transform *tfm, const float tmax)
{
Transform itfm;
*tfm = object_fetch_transform_motion_test(kg, object, ray->time, &itfm);
*P = transform_point(&itfm, ray->P);
float3 dir = transform_direction(&itfm, ray->D);
float len;
dir = normalize_len(dir, &len);
*idir = bvh_inverse_direction(dir);
if(*t != FLT_MAX)
*t *= len;
}
__device_inline void bvh_instance_motion_pop(KernelGlobals *kg, int object, const Ray *ray, float3 *P, float3 *idir, float *t, Transform *tfm, const float tmax)
{
if(*t != FLT_MAX)
*t *= len(transform_direction(tfm, 1.0f/(*idir)));
*P = ray->P;
*idir = bvh_inverse_direction(ray->D);
}
#endif
/* intersect two bounding boxes */
__device_inline void bvh_node_intersect(KernelGlobals *kg,
bool *traverseChild0, bool *traverseChild1,
bool *closestChild1, int *nodeAddr0, int *nodeAddr1,
float3 P, float3 idir, float t, uint visibility, int nodeAddr)
{
/* fetch node data */
float4 n0xy = kernel_tex_fetch(__bvh_nodes, nodeAddr*BVH_NODE_SIZE+0);
float4 n1xy = kernel_tex_fetch(__bvh_nodes, nodeAddr*BVH_NODE_SIZE+1);
float4 nz = kernel_tex_fetch(__bvh_nodes, nodeAddr*BVH_NODE_SIZE+2);
float4 cnodes = kernel_tex_fetch(__bvh_nodes, nodeAddr*BVH_NODE_SIZE+3);
/* intersect ray against child nodes */
float3 ood = P * idir;
NO_EXTENDED_PRECISION float c0lox = n0xy.x * idir.x - ood.x;
NO_EXTENDED_PRECISION float c0hix = n0xy.y * idir.x - ood.x;
NO_EXTENDED_PRECISION float c0loy = n0xy.z * idir.y - ood.y;
NO_EXTENDED_PRECISION float c0hiy = n0xy.w * idir.y - ood.y;
NO_EXTENDED_PRECISION float c0loz = nz.x * idir.z - ood.z;
NO_EXTENDED_PRECISION float c0hiz = nz.y * idir.z - ood.z;
NO_EXTENDED_PRECISION float c0min = max4(min(c0lox, c0hix), min(c0loy, c0hiy), min(c0loz, c0hiz), 0.0f);
NO_EXTENDED_PRECISION float c0max = min4(max(c0lox, c0hix), max(c0loy, c0hiy), max(c0loz, c0hiz), t);
NO_EXTENDED_PRECISION float c1loz = nz.z * idir.z - ood.z;
NO_EXTENDED_PRECISION float c1hiz = nz.w * idir.z - ood.z;
NO_EXTENDED_PRECISION float c1lox = n1xy.x * idir.x - ood.x;
NO_EXTENDED_PRECISION float c1hix = n1xy.y * idir.x - ood.x;
NO_EXTENDED_PRECISION float c1loy = n1xy.z * idir.y - ood.y;
NO_EXTENDED_PRECISION float c1hiy = n1xy.w * idir.y - ood.y;
NO_EXTENDED_PRECISION float c1min = max4(min(c1lox, c1hix), min(c1loy, c1hiy), min(c1loz, c1hiz), 0.0f);
NO_EXTENDED_PRECISION float c1max = min4(max(c1lox, c1hix), max(c1loy, c1hiy), max(c1loz, c1hiz), t);
/* decide which nodes to traverse next */
#ifdef __VISIBILITY_FLAG__
/* this visibility test gives a 5% performance hit, how to solve? */
*traverseChild0 = (c0max >= c0min) && (__float_as_int(cnodes.z) & visibility);
*traverseChild1 = (c1max >= c1min) && (__float_as_int(cnodes.w) & visibility);
#else
*traverseChild0 = (c0max >= c0min);
*traverseChild1 = (c1max >= c1min);
#endif
*nodeAddr0 = __float_as_int(cnodes.x);
*nodeAddr1 = __float_as_int(cnodes.y);
*closestChild1 = (c1min < c0min);
}
/* Sven Woop's algorithm */
__device_inline void bvh_triangle_intersect(KernelGlobals *kg, Intersection *isect,
float3 P, float3 idir, uint visibility, int object, int triAddr)
{
/* compute and check intersection t-value */
float4 v00 = kernel_tex_fetch(__tri_woop, triAddr*TRI_NODE_SIZE+0);
float4 v11 = kernel_tex_fetch(__tri_woop, triAddr*TRI_NODE_SIZE+1);
float3 dir = 1.0f/idir;
float Oz = v00.w - P.x*v00.x - P.y*v00.y - P.z*v00.z;
float invDz = 1.0f/(dir.x*v00.x + dir.y*v00.y + dir.z*v00.z);
float t = Oz * invDz;
if(t > 0.0f && t < isect->t) {
/* compute and check barycentric u */
float Ox = v11.w + P.x*v11.x + P.y*v11.y + P.z*v11.z;
float Dx = dir.x*v11.x + dir.y*v11.y + dir.z*v11.z;
float u = Ox + t*Dx;
if(u >= 0.0f) {
/* compute and check barycentric v */
float4 v22 = kernel_tex_fetch(__tri_woop, triAddr*TRI_NODE_SIZE+2);
float Oy = v22.w + P.x*v22.x + P.y*v22.y + P.z*v22.z;
float Dy = dir.x*v22.x + dir.y*v22.y + dir.z*v22.z;
float v = Oy + t*Dy;
if(v >= 0.0f && u + v <= 1.0f) {
#ifdef __VISIBILITY_FLAG__
/* visibility flag test. we do it here under the assumption
* that most triangles are culled by node flags */
if(kernel_tex_fetch(__prim_visibility, triAddr) & visibility)
#endif
{
/* record intersection */
isect->prim = triAddr;
isect->object = object;
isect->u = u;
isect->v = v;
isect->t = t;
}
}
}
}
}
#ifdef __HAIR__
__device_inline void curvebounds(float *lower, float *upper, float *extremta, float *extrema, float *extremtb, float *extremb, float p0, float p1, float p2, float p3)
{
float halfdiscroot = (p2 * p2 - 3 * p3 * p1);
float ta = -1.0f;
float tb = -1.0f;
*extremta = -1.0f;
*extremtb = -1.0f;
*upper = p0;
*lower = p0 + p1 + p2 + p3;
*extrema = *upper;
*extremb = *lower;
if(*lower >= *upper) {
*upper = *lower;
*lower = p0;
}
if(halfdiscroot >= 0) {
halfdiscroot = sqrt(halfdiscroot);
ta = (-p2 - halfdiscroot) / (3 * p3);
tb = (-p2 + halfdiscroot) / (3 * p3);
}
float t2;
float t3;
if(ta > 0.0f && ta < 1.0f) {
t2 = ta * ta;
t3 = t2 * ta;
*extremta = ta;
*extrema = p3 * t3 + p2 * t2 + p1 * ta + p0;
if(*extrema > *upper) {
*upper = *extrema;
}
if(*extrema < *lower) {
*lower = *extrema;
}
}
if(tb > 0.0f && tb < 1.0f) {
t2 = tb * tb;
t3 = t2 * tb;
*extremtb = tb;
*extremb = p3 * t3 + p2 * t2 + p1 * tb + p0;
if(*extremb >= *upper) {
*upper = *extremb;
}
if(*extremb <= *lower) {
*lower = *extremb;
}
}
}
__device_inline void bvh_cardinal_curve_intersect(KernelGlobals *kg, Intersection *isect,
float3 P, float3 idir, uint visibility, int object, int curveAddr, int segment)
{
int depth = kernel_data.curve_kernel_data.subdivisions;
/* curve Intersection check */
float3 dir = 1.0f/idir;
int flags = kernel_data.curve_kernel_data.curveflags;
int prim = kernel_tex_fetch(__prim_index, curveAddr);
float3 curve_coef[4];
float r_st,r_en;
/*obtain curve parameters*/
{
/*ray transform created - this shold be created at beginning of intersection loop*/
Transform htfm;
float d = sqrtf(dir.x * dir.x + dir.z * dir.z);
htfm = make_transform(
dir.z / d, 0, -dir.x /d, 0,
-dir.x * dir.y /d, d, -dir.y * dir.z /d, 0,
dir.x, dir.y, dir.z, 0,
0, 0, 0, 1) * make_transform(
1, 0, 0, -P.x,
0, 1, 0, -P.y,
0, 0, 1, -P.z,
0, 0, 0, 1);
float4 v00 = kernel_tex_fetch(__curves, prim);
int k0 = __float_as_int(v00.x) + segment;
int k1 = k0 + 1;
int ka = max(k0 - 1,__float_as_int(v00.x));
int kb = min(k1 + 1,__float_as_int(v00.x) + __float_as_int(v00.y) - 1);
float4 P0 = kernel_tex_fetch(__curve_keys, ka);
float4 P1 = kernel_tex_fetch(__curve_keys, k0);
float4 P2 = kernel_tex_fetch(__curve_keys, k1);
float4 P3 = kernel_tex_fetch(__curve_keys, kb);
float3 p0 = transform_point(&htfm, float4_to_float3(P0));
float3 p1 = transform_point(&htfm, float4_to_float3(P1));
float3 p2 = transform_point(&htfm, float4_to_float3(P2));
float3 p3 = transform_point(&htfm, float4_to_float3(P3));
float fc = 0.71f;
curve_coef[0] = p1;
curve_coef[1] = -fc*p0 + fc*p2;
curve_coef[2] = 2.0f * fc * p0 + (fc - 3.0f) * p1 + (3.0f - 2.0f * fc) * p2 - fc * p3;
curve_coef[3] = -fc * p0 + (2.0f - fc) * p1 + (fc - 2.0f) * p2 + fc * p3;
r_st = P1.w;
r_en = P2.w;
}
float r_curr = max(r_st, r_en);
/*find bounds - this is slow for cubic curves*/
float upper,lower;
float xextrem[4];
curvebounds(&lower, &upper, &xextrem[0], &xextrem[1], &xextrem[2], &xextrem[3], curve_coef[0].x, curve_coef[1].x, curve_coef[2].x, curve_coef[3].x);
if(lower > r_curr || upper < -r_curr)
return;
float yextrem[4];
curvebounds(&lower, &upper, &yextrem[0], &yextrem[1], &yextrem[2], &yextrem[3], curve_coef[0].y, curve_coef[1].y, curve_coef[2].y, curve_coef[3].y);
if(lower > r_curr || upper < -r_curr)
return;
float zextrem[4];
curvebounds(&lower, &upper, &zextrem[0], &zextrem[1], &zextrem[2], &zextrem[3], curve_coef[0].z, curve_coef[1].z, curve_coef[2].z, curve_coef[3].z);
if(lower - r_curr > isect->t || upper + r_curr < 0.0f)
return;
/*setup recurrent loop*/
int level = 1 << depth;
int tree = 0;
float resol = 1.0f / (float)level;
/*begin loop*/
while(!(tree >> (depth))) {
float i_st = tree * resol;
float i_en = i_st + (level * resol);
float3 p_st = ((curve_coef[3] * i_st + curve_coef[2]) * i_st + curve_coef[1]) * i_st + curve_coef[0];
float3 p_en = ((curve_coef[3] * i_en + curve_coef[2]) * i_en + curve_coef[1]) * i_en + curve_coef[0];
float bminx = min(p_st.x, p_en.x);
float bmaxx = max(p_st.x, p_en.x);
float bminy = min(p_st.y, p_en.y);
float bmaxy = max(p_st.y, p_en.y);
float bminz = min(p_st.z, p_en.z);
float bmaxz = max(p_st.z, p_en.z);
if(xextrem[0] >= i_st && xextrem[0] <= i_en) {
bminx = min(bminx,xextrem[1]);
bmaxx = max(bmaxx,xextrem[1]);
}
if(xextrem[2] >= i_st && xextrem[2] <= i_en) {
bminx = min(bminx,xextrem[3]);
bmaxx = max(bmaxx,xextrem[3]);
}
if(yextrem[0] >= i_st && yextrem[0] <= i_en) {
bminy = min(bminy,yextrem[1]);
bmaxy = max(bmaxy,yextrem[1]);
}
if(yextrem[2] >= i_st && yextrem[2] <= i_en) {
bminy = min(bminy,yextrem[3]);
bmaxy = max(bmaxy,yextrem[3]);
}
if(zextrem[0] >= i_st && zextrem[0] <= i_en) {
bminz = min(bminz,zextrem[1]);
bmaxz = max(bmaxz,zextrem[1]);
}
if(zextrem[2] >= i_st && zextrem[2] <= i_en) {
bminz = min(bminz,zextrem[3]);
bmaxz = max(bmaxz,zextrem[3]);
}
float r1 = r_st + (r_en - r_st) * i_st;
float r2 = r_st + (r_en - r_st) * i_en;
r_curr = max(r1, r2);
if (bminz - r_curr > isect->t || bmaxz + r_curr < 0.0f|| bminx > r_curr || bmaxx < -r_curr || bminy > r_curr || bmaxy < -r_curr) {
/* the bounding box does not overlap the square centered at O.*/
tree += level;
level = tree & -tree;
}
else if (level == 1) {
/* the maximum recursion depth is reached.
* check if dP0.(Q-P0)>=0 and dPn.(Pn-Q)>=0.
* dP* is reversed if necessary.*/
float t = isect->t;
float u = 0.0f;
if(flags & CURVE_KN_RIBBONS) {
float3 tg = (p_en - p_st);
float w = tg.x * tg.x + tg.y * tg.y;
if (w == 0) {
tree++;
level = tree & -tree;
continue;
}
w = -(p_st.x * tg.x + p_st.y * tg.y) / w;
w = clamp((float)w, 0.0f, 1.0f);
/* compute u on the curve segment.*/
u = i_st * (1 - w) + i_en * w;
r_curr = r_st + (r_en - r_st) * u;
/* compare x-y distances.*/
float3 p_curr = ((curve_coef[3] * u + curve_coef[2]) * u + curve_coef[1]) * u + curve_coef[0];
float3 dp_st = (3 * curve_coef[3] * i_st + 2 * curve_coef[2]) * i_st + curve_coef[1];
if (dot(tg, dp_st)< 0)
dp_st *= -1;
if (dot(dp_st, -p_st) + p_curr.z * dp_st.z < 0) {
tree++;
level = tree & -tree;
continue;
}
float3 dp_en = (3 * curve_coef[3] * i_en + 2 * curve_coef[2]) * i_en + curve_coef[1];
if (dot(tg, dp_en) < 0)
dp_en *= -1;
if (dot(dp_en, p_en) - p_curr.z * dp_en.z < 0) {
tree++;
level = tree & -tree;
continue;
}
if (p_curr.x * p_curr.x + p_curr.y * p_curr.y >= r_curr * r_curr || p_curr.z <= 0.0f) {
tree++;
level = tree & -tree;
continue;
}
/* compare z distances.*/
if (isect->t < p_curr.z) {
tree++;
level = tree & -tree;
continue;
}
t = p_curr.z;
}
else {
float l = len(p_en - p_st);
float3 tg = (p_en - p_st) / l;
float gd = (r2 - r1) / l;
float difz = -dot(p_st,tg);
float cyla = 1.0f - (tg.z * tg.z * (1 + gd*gd));
float halfb = (-p_st.z - tg.z*(difz + gd*(difz*gd + r1)));
float tcentre = -halfb/cyla;
float zcentre = difz + (tg.z * tcentre);
float3 tdif = - p_st;
tdif.z += tcentre;
float tdifz = dot(tdif,tg);
float tb = 2*(tdif.z - tg.z*(tdifz + gd*(tdifz*gd + r1)));
float tc = dot(tdif,tdif) - tdifz * tdifz * (1 + gd*gd) - r1*r1 - 2*r1*tdifz*gd;
float td = tb*tb - 4*cyla*tc;
if (td < 0.0f){
tree++;
level = tree & -tree;
continue;
}
float rootd = sqrtf(td);
float correction = ((-tb - rootd)/(2*cyla));
t = tcentre + correction;
float w = (zcentre + (tg.z * correction))/l;
float3 dp_st = (3 * curve_coef[3] * i_st + 2 * curve_coef[2]) * i_st + curve_coef[1];
if (dot(tg, dp_st)< 0)
dp_st *= -1;
float3 dp_en = (3 * curve_coef[3] * i_en + 2 * curve_coef[2]) * i_en + curve_coef[1];
if (dot(tg, dp_en) < 0)
dp_en *= -1;
if(flags & CURVE_KN_BACKFACING && (dot(dp_st, -p_st) + t * dp_st.z < 0 || dot(dp_en, p_en) - t * dp_en.z < 0 || isect->t < t || t <= 0.0f)) {
correction = ((-tb + rootd)/(2*cyla));
t = tcentre + correction;
w = (zcentre + (tg.z * correction))/l;
}
if (dot(dp_st, -p_st) + t * dp_st.z < 0 || dot(dp_en, p_en) - t * dp_en.z < 0 || isect->t < t || t <= 0.0f) {
tree++;
level = tree & -tree;
continue;
}
w = clamp((float)w, 0.0f, 1.0f);
/* compute u on the curve segment.*/
u = i_st * (1 - w) + i_en * w;
}
/* we found a new intersection.*/
#ifdef __VISIBILITY_FLAG__
/* visibility flag test. we do it here under the assumption
* that most triangles are culled by node flags */
if(kernel_tex_fetch(__prim_visibility, curveAddr) & visibility)
#endif
{
/* record intersection */
isect->prim = curveAddr;
isect->segment = segment;
isect->object = object;
isect->u = u;
isect->v = 0.0f;
isect->t = t;
}
tree++;
level = tree & -tree;
}
else {
/* split the curve into two curves and process */
level = level >> 1;
}
}
}
__device_inline void bvh_curve_intersect(KernelGlobals *kg, Intersection *isect,
float3 P, float3 idir, uint visibility, int object, int curveAddr, int segment)
{
/* curve Intersection check */
int flags = kernel_data.curve_kernel_data.curveflags;
int prim = kernel_tex_fetch(__prim_index, curveAddr);
float4 v00 = kernel_tex_fetch(__curves, prim);
int k0 = __float_as_int(v00.x) + segment;
int k1 = k0 + 1;
float4 P1 = kernel_tex_fetch(__curve_keys, k0);
float4 P2 = kernel_tex_fetch(__curve_keys, k1);
float r1 = P1.w;
float r2 = P2.w;
float mr = max(r1,r2);
float3 p1 = float4_to_float3(P1);
float3 p2 = float4_to_float3(P2);
float3 dif = P - p1;
float3 dir = 1.0f/idir;
float l = len(p2 - p1);
float sp_r = mr + 0.5f * l;
float3 sphere_dif = P - ((p1 + p2) * 0.5f);
float sphere_b = dot(dir,sphere_dif);
sphere_dif = sphere_dif - sphere_b * dir;
sphere_b = dot(dir,sphere_dif);
float sdisc = sphere_b * sphere_b - len_squared(sphere_dif) + sp_r * sp_r;
if(sdisc < 0.0f)
return;
/* obtain parameters and test midpoint distance for suitable modes*/
float3 tg = (p2 - p1) / l;
float gd = (r2 - r1) / l;
float dirz = dot(dir,tg);
float difz = dot(dif,tg);
float a = 1.0f - (dirz*dirz*(1 + gd*gd));
float halfb = (dot(dir,dif) - dirz*(difz + gd*(difz*gd + r1)));
float tcentre = -halfb/a;
float zcentre = difz + (dirz * tcentre);
if((tcentre > isect->t) && !(flags & CURVE_KN_ACCURATE))
return;
if((zcentre < 0 || zcentre > l) && !(flags & CURVE_KN_ACCURATE) && !(flags & CURVE_KN_INTERSECTCORRECTION))
return;
/* test minimum separation*/
float3 cprod = cross(tg, dir);
float3 cprod2 = cross(tg, dif);
float cprodsq = len_squared(cprod);
float cprod2sq = len_squared(cprod2);
float distscaled = dot(cprod,dif);
if(cprodsq == 0)
distscaled = cprod2sq;
else
distscaled = (distscaled*distscaled)/cprodsq;
if(distscaled > mr*mr)
return;
/* calculate true intersection*/
float3 tdif = P - p1 + tcentre * dir;
float tdifz = dot(tdif,tg);
float tb = 2*(dot(dir,tdif) - dirz*(tdifz + gd*(tdifz*gd + r1)));
float tc = dot(tdif,tdif) - tdifz * tdifz * (1 + gd*gd) - r1*r1 - 2*r1*tdifz*gd;
float td = tb*tb - 4*a*tc;
if (td < 0.0f)
return;
float rootd = 0.0f;
float correction = 0.0f;
if(flags & CURVE_KN_ACCURATE) {
rootd = sqrtf(td);
correction = ((-tb - rootd)/(2*a));
}
float t = tcentre + correction;
if(t < isect->t) {
if(flags & CURVE_KN_INTERSECTCORRECTION) {
rootd = sqrtf(td);
correction = ((-tb - rootd)/(2*a));
t = tcentre + correction;
}
float z = zcentre + (dirz * correction);
bool backface = false;
if(flags & CURVE_KN_BACKFACING && (t < 0.0f || z < 0 || z > l)) {
backface = true;
correction = ((-tb + rootd)/(2*a));
t = tcentre + correction;
z = zcentre + (dirz * correction);
}
if(t > 0.0f && t < isect->t && z >= 0 && z <= l) {
if (flags & CURVE_KN_ENCLOSEFILTER) {
float enc_ratio = kernel_data.curve_kernel_data.encasing_ratio;
if((dot(P - p1, tg) > -r1 * enc_ratio) && (dot(P - p2, tg) < r2 * enc_ratio)) {
float a2 = 1.0f - (dirz*dirz*(1 + gd*gd*enc_ratio*enc_ratio));
float c2 = dot(dif,dif) - difz * difz * (1 + gd*gd*enc_ratio*enc_ratio) - r1*r1*enc_ratio*enc_ratio - 2*r1*difz*gd*enc_ratio;
if(a2*c2 < 0.0f)
return;
}
}
#ifdef __VISIBILITY_FLAG__
/* visibility flag test. we do it here under the assumption
* that most triangles are culled by node flags */
if(kernel_tex_fetch(__prim_visibility, curveAddr) & visibility)
#endif
{
/* record intersection */
isect->prim = curveAddr;
isect->segment = segment;
isect->object = object;
isect->u = z/l;
isect->v = td/(4*a*a);
isect->t = t;
if(backface)
isect->u = -isect->u;
}
}
}
}
#endif
__device bool bvh_intersect(KernelGlobals *kg, const Ray *ray, const uint visibility, Intersection *isect)
{
/* traversal stack in CUDA thread-local memory */
int traversalStack[BVH_STACK_SIZE];
traversalStack[0] = ENTRYPOINT_SENTINEL;
/* traversal variables in registers */
int stackPtr = 0;
int nodeAddr = kernel_data.bvh.root;
/* ray parameters in registers */
const float tmax = ray->t;
float3 P = ray->P;
float3 idir = bvh_inverse_direction(ray->D);
int object = ~0;
isect->t = tmax;
isect->object = ~0;
isect->prim = ~0;
isect->u = 0.0f;
isect->v = 0.0f;
/* traversal loop */
do {
do
{
/* traverse internal nodes */
while(nodeAddr >= 0 && nodeAddr != ENTRYPOINT_SENTINEL)
{
bool traverseChild0, traverseChild1, closestChild1;
int nodeAddrChild1;
bvh_node_intersect(kg, &traverseChild0, &traverseChild1,
&closestChild1, &nodeAddr, &nodeAddrChild1,
P, idir, isect->t, visibility, nodeAddr);
if(traverseChild0 != traverseChild1) {
/* one child was intersected */
if(traverseChild1) {
nodeAddr = nodeAddrChild1;
}
}
else {
if(!traverseChild0) {
/* neither child was intersected */
nodeAddr = traversalStack[stackPtr];
--stackPtr;
}
else {
/* both children were intersected, push the farther one */
if(closestChild1) {
int tmp = nodeAddr;
nodeAddr = nodeAddrChild1;
nodeAddrChild1 = tmp;
}
++stackPtr;
traversalStack[stackPtr] = nodeAddrChild1;
}
}
}
/* if node is leaf, fetch triangle list */
if(nodeAddr < 0) {
float4 leaf = kernel_tex_fetch(__bvh_nodes, (-nodeAddr-1)*BVH_NODE_SIZE+(BVH_NODE_SIZE-1));
int primAddr = __float_as_int(leaf.x);
#ifdef __INSTANCING__
if(primAddr >= 0) {
#endif
int primAddr2 = __float_as_int(leaf.y);
/* pop */
nodeAddr = traversalStack[stackPtr];
--stackPtr;
/* primitive intersection */
while(primAddr < primAddr2) {
/* intersect ray against primitive */
#ifdef __HAIR__
uint segment = kernel_tex_fetch(__prim_segment, primAddr);
if(segment != ~0) {
if(kernel_data.curve_kernel_data.curveflags & CURVE_KN_INTERPOLATE)
bvh_cardinal_curve_intersect(kg, isect, P, idir, visibility, object, primAddr, segment);
else
bvh_curve_intersect(kg, isect, P, idir, visibility, object, primAddr, segment);
}
else
#endif
bvh_triangle_intersect(kg, isect, P, idir, visibility, object, primAddr);
/* shadow ray early termination */
if(visibility == PATH_RAY_SHADOW_OPAQUE && isect->prim != ~0)
return true;
primAddr++;
}
#ifdef __INSTANCING__
}
else {
/* instance push */
object = kernel_tex_fetch(__prim_object, -primAddr-1);
bvh_instance_push(kg, object, ray, &P, &idir, &isect->t, tmax);
++stackPtr;
traversalStack[stackPtr] = ENTRYPOINT_SENTINEL;
nodeAddr = kernel_tex_fetch(__object_node, object);
}
#endif
}
} while(nodeAddr != ENTRYPOINT_SENTINEL);
#ifdef __INSTANCING__
if(stackPtr >= 0) {
kernel_assert(object != ~0);
/* instance pop */
bvh_instance_pop(kg, object, ray, &P, &idir, &isect->t, tmax);
object = ~0;
nodeAddr = traversalStack[stackPtr];
--stackPtr;
}
#endif
} while(nodeAddr != ENTRYPOINT_SENTINEL);
return (isect->prim != ~0);
}
#ifdef __OBJECT_MOTION__
__device bool bvh_intersect_motion(KernelGlobals *kg, const Ray *ray, const uint visibility, Intersection *isect)
{
/* traversal stack in CUDA thread-local memory */
int traversalStack[BVH_STACK_SIZE];
traversalStack[0] = ENTRYPOINT_SENTINEL;
/* traversal variables in registers */
int stackPtr = 0;
int nodeAddr = kernel_data.bvh.root;
/* ray parameters in registers */
const float tmax = ray->t;
float3 P = ray->P;
float3 idir = bvh_inverse_direction(ray->D);
int object = ~0;
Transform ob_tfm;
isect->t = tmax;
isect->object = ~0;
isect->prim = ~0;
isect->u = 0.0f;
isect->v = 0.0f;
/* traversal loop */
do {
do
{
/* traverse internal nodes */
while(nodeAddr >= 0 && nodeAddr != ENTRYPOINT_SENTINEL)
{
bool traverseChild0, traverseChild1, closestChild1;
int nodeAddrChild1;
bvh_node_intersect(kg, &traverseChild0, &traverseChild1,
&closestChild1, &nodeAddr, &nodeAddrChild1,
P, idir, isect->t, visibility, nodeAddr);
if(traverseChild0 != traverseChild1) {
/* one child was intersected */
if(traverseChild1) {
nodeAddr = nodeAddrChild1;
}
}
else {
if(!traverseChild0) {
/* neither child was intersected */
nodeAddr = traversalStack[stackPtr];
--stackPtr;
}
else {
/* both children were intersected, push the farther one */
if(closestChild1) {
int tmp = nodeAddr;
nodeAddr = nodeAddrChild1;
nodeAddrChild1 = tmp;
}
++stackPtr;
traversalStack[stackPtr] = nodeAddrChild1;
}
}
}
/* if node is leaf, fetch triangle list */
if(nodeAddr < 0) {
float4 leaf = kernel_tex_fetch(__bvh_nodes, (-nodeAddr-1)*BVH_NODE_SIZE+(BVH_NODE_SIZE-1));
int primAddr = __float_as_int(leaf.x);
if(primAddr >= 0) {
int primAddr2 = __float_as_int(leaf.y);
/* pop */
nodeAddr = traversalStack[stackPtr];
--stackPtr;
/* primitive intersection */
while(primAddr < primAddr2) {
/* intersect ray against primitive */
#ifdef __HAIR__
uint segment = kernel_tex_fetch(__prim_segment, primAddr);
if(segment != ~0) {
if(kernel_data.curve_kernel_data.curveflags & CURVE_KN_INTERPOLATE)
bvh_cardinal_curve_intersect(kg, isect, P, idir, visibility, object, primAddr, segment);
else
bvh_curve_intersect(kg, isect, P, idir, visibility, object, primAddr, segment);
}
else
#endif
bvh_triangle_intersect(kg, isect, P, idir, visibility, object, primAddr);
/* shadow ray early termination */
if(visibility == PATH_RAY_SHADOW_OPAQUE && isect->prim != ~0)
return true;
primAddr++;
}
}
else {
/* instance push */
object = kernel_tex_fetch(__prim_object, -primAddr-1);
bvh_instance_motion_push(kg, object, ray, &P, &idir, &isect->t, &ob_tfm, tmax);
++stackPtr;
traversalStack[stackPtr] = ENTRYPOINT_SENTINEL;
nodeAddr = kernel_tex_fetch(__object_node, object);
}
}
} while(nodeAddr != ENTRYPOINT_SENTINEL);
if(stackPtr >= 0) {
kernel_assert(object != ~0);
/* instance pop */
bvh_instance_motion_pop(kg, object, ray, &P, &idir, &isect->t, &ob_tfm, tmax);
object = ~0;
nodeAddr = traversalStack[stackPtr];
--stackPtr;
}
} while(nodeAddr != ENTRYPOINT_SENTINEL);
return (isect->prim != ~0);
}
#endif
__device_inline bool scene_intersect(KernelGlobals *kg, const Ray *ray, const uint visibility, Intersection *isect)
{
#ifdef __OBJECT_MOTION__
if(kernel_data.bvh.have_motion)
return bvh_intersect_motion(kg, ray, visibility, isect);
else
return bvh_intersect(kg, ray, visibility, isect);
#else
return bvh_intersect(kg, ray, visibility, isect);
#endif
}
__device_inline float3 ray_offset(float3 P, float3 Ng)
{
#ifdef __INTERSECTION_REFINE__
const float epsilon_f = 1e-5f;
/* ideally this should match epsilon_f, but instancing/mblur
* precision makes it problematic */
const float epsilon_test = 1.0f;
const int epsilon_i = 32;
float3 res;
/* x component */
if(fabsf(P.x) < epsilon_test) {
res.x = P.x + Ng.x*epsilon_f;
}
else {
uint ix = __float_as_uint(P.x);
ix += ((ix ^ __float_as_uint(Ng.x)) >> 31)? -epsilon_i: epsilon_i;
res.x = __uint_as_float(ix);
}
/* y component */
if(fabsf(P.y) < epsilon_test) {
res.y = P.y + Ng.y*epsilon_f;
}
else {
uint iy = __float_as_uint(P.y);
iy += ((iy ^ __float_as_uint(Ng.y)) >> 31)? -epsilon_i: epsilon_i;
res.y = __uint_as_float(iy);
}
/* z component */
if(fabsf(P.z) < epsilon_test) {
res.z = P.z + Ng.z*epsilon_f;
}
else {
uint iz = __float_as_uint(P.z);
iz += ((iz ^ __float_as_uint(Ng.z)) >> 31)? -epsilon_i: epsilon_i;
res.z = __uint_as_float(iz);
}
return res;
#else
const float epsilon_f = 1e-4f;
return P + epsilon_f*Ng;
#endif
}
__device_inline float3 bvh_triangle_refine(KernelGlobals *kg, ShaderData *sd, const Intersection *isect, const Ray *ray)
{
float3 P = ray->P;
float3 D = ray->D;
float t = isect->t;
#ifdef __INTERSECTION_REFINE__
if(isect->object != ~0) {
#ifdef __OBJECT_MOTION__
Transform tfm = sd->ob_itfm;
#else
Transform tfm = object_fetch_transform(kg, isect->object, OBJECT_INVERSE_TRANSFORM);
#endif
P = transform_point(&tfm, P);
D = transform_direction(&tfm, D*t);
D = normalize_len(D, &t);
}
P = P + D*t;
float4 v00 = kernel_tex_fetch(__tri_woop, isect->prim*TRI_NODE_SIZE+0);
float Oz = v00.w - P.x*v00.x - P.y*v00.y - P.z*v00.z;
float invDz = 1.0f/(D.x*v00.x + D.y*v00.y + D.z*v00.z);
float rt = Oz * invDz;
P = P + D*rt;
if(isect->object != ~0) {
#ifdef __OBJECT_MOTION__
Transform tfm = sd->ob_tfm;
#else
Transform tfm = object_fetch_transform(kg, isect->object, OBJECT_TRANSFORM);
#endif
P = transform_point(&tfm, P);
}
return P;
#else
return P + D*t;
#endif
}
#ifdef __HAIR__
__device_inline float3 curvetangent(float t, float3 p0, float3 p1, float3 p2, float3 p3)
{
float fc = 0.71f;
float data[4];
float t2 = t * t;
data[0] = -3.0f * fc * t2 + 4.0f * fc * t - fc;
data[1] = 3.0f * (2.0f - fc) * t2 + 2.0f * (fc - 3.0f) * t;
data[2] = 3.0f * (fc - 2.0f) * t2 + 2.0f * (3.0f - 2.0f * fc) * t + fc;
data[3] = 3.0f * fc * t2 - 2.0f * fc * t;
return data[0] * p0 + data[1] * p1 + data[2] * p2 + data[3] * p3;
}
__device_inline float3 curvepoint(float t, float3 p0, float3 p1, float3 p2, float3 p3)
{
float data[4];
float fc = 0.71f;
float t2 = t * t;
float t3 = t2 * t;
data[0] = -fc * t3 + 2.0f * fc * t2 - fc * t;
data[1] = (2.0f - fc) * t3 + (fc - 3.0f) * t2 + 1.0f;
data[2] = (fc - 2.0f) * t3 + (3.0f - 2.0f * fc) * t2 + fc * t;
data[3] = fc * t3 - fc * t2;
return data[0] * p0 + data[1] * p1 + data[2] * p2 + data[3] * p3;
}
__device_inline float3 bvh_curve_refine(KernelGlobals *kg, ShaderData *sd, const Intersection *isect, const Ray *ray, float t)
{
int flag = kernel_data.curve_kernel_data.curveflags;
float3 P = ray->P;
float3 D = ray->D;
if(isect->object != ~0) {
#ifdef __OBJECT_MOTION__
Transform tfm = sd->ob_itfm;
#else
Transform tfm = object_fetch_transform(kg, isect->object, OBJECT_INVERSE_TRANSFORM);
#endif
P = transform_point(&tfm, P);
D = transform_direction(&tfm, D*t);
D = normalize_len(D, &t);
}
int prim = kernel_tex_fetch(__prim_index, isect->prim);
float4 v00 = kernel_tex_fetch(__curves, prim);
int k0 = __float_as_int(v00.x) + isect->segment;
int k1 = k0 + 1;
float4 P1 = kernel_tex_fetch(__curve_keys, k0);
float4 P2 = kernel_tex_fetch(__curve_keys, k1);
float l = 1.0f;
float3 tg = normalize_len(float4_to_float3(P2 - P1),&l);
float r1 = P1.w;
float r2 = P2.w;
float gd = ((r2 - r1)/l);
P = P + D*t;
if(flag & CURVE_KN_INTERPOLATE) {
int ka = max(k0 - 1,__float_as_int(v00.x));
int kb = min(k1 + 1,__float_as_int(v00.x) + __float_as_int(v00.y) - 1);
float4 P0 = kernel_tex_fetch(__curve_keys, ka);
float4 P3 = kernel_tex_fetch(__curve_keys, kb);
float3 p[4];
p[0] = float4_to_float3(P0);
p[1] = float4_to_float3(P1);
p[2] = float4_to_float3(P2);
p[3] = float4_to_float3(P3);
tg = normalize(curvetangent(isect->u,p[0],p[1],p[2],p[3]));
float3 p_curr = curvepoint(isect->u,p[0],p[1],p[2],p[3]);
#ifdef __UV__
sd->u = isect->u;
sd->v = 0.0f;
#endif
if(kernel_data.curve_kernel_data.curveflags & CURVE_KN_RIBBONS)
sd->Ng = normalize(-(D - tg * (dot(tg,D))));
else {
sd->Ng = normalize(P - p_curr);
sd->Ng = sd->Ng - gd * tg;
sd->Ng = normalize(sd->Ng);
}
sd->N = sd->Ng;
}
else {
float3 dif = P - float4_to_float3(P1);
#ifdef __UV__
sd->u = dot(dif,tg)/l;
sd->v = 0.0f;
#endif
if (flag & CURVE_KN_TRUETANGENTGNORMAL) {
sd->Ng = -(D - tg * (dot(tg,D) * kernel_data.curve_kernel_data.normalmix));
sd->Ng = normalize(sd->Ng);
if (flag & CURVE_KN_NORMALCORRECTION) {
sd->Ng = sd->Ng - gd * tg;
sd->Ng = normalize(sd->Ng);
}
}
else {
sd->Ng = (dif - tg * sd->u * l) / (P1.w + sd->u * l * gd);
if (gd != 0.0f) {
sd->Ng = sd->Ng - gd * tg ;
sd->Ng = normalize(sd->Ng);
}
}
sd->N = sd->Ng;
if (flag & CURVE_KN_TANGENTGNORMAL && !(flag & CURVE_KN_TRUETANGENTGNORMAL)) {
sd->N = -(D - tg * (dot(tg,D) * kernel_data.curve_kernel_data.normalmix));
sd->N = normalize(sd->N);
if (flag & CURVE_KN_NORMALCORRECTION) {
sd->N = sd->N - gd * tg;
sd->N = normalize(sd->N);
}
}
if (!(flag & CURVE_KN_TANGENTGNORMAL) && flag & CURVE_KN_TRUETANGENTGNORMAL) {
sd->N = (dif - tg * sd->u * l) / (P1.w + sd->u * l * gd);
if (gd != 0.0f) {
sd->N = sd->N - gd * tg ;
sd->N = normalize(sd->N);
}
}
}
#ifdef __DPDU__
/* dPdu/dPdv */
sd->dPdu = tg;
sd->dPdv = cross(tg,sd->Ng);
#endif
if(isect->object != ~0) {
#ifdef __OBJECT_MOTION__
Transform tfm = sd->ob_tfm;
#else
Transform tfm = object_fetch_transform(kg, isect->object, OBJECT_TRANSFORM);
#endif
P = transform_point(&tfm, P);
}
return P;
}
#endif
CCL_NAMESPACE_END