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|
/*
* 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
/* Curve Primitive
*
* Curve primitive for rendering hair and fur. These can be render as flat ribbons
* or curves with actual thickness. The curve can also be rendered as line segments
* rather than curves for better performance */
#ifdef __HAIR__
/* Reading attributes on various curve elements */
ccl_device float curve_attribute_float(KernelGlobals *kg, const ShaderData *sd, const AttributeDescriptor desc, float *dx, float *dy)
{
if(desc.element == ATTR_ELEMENT_CURVE) {
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = 0.0f;
if(dy) *dy = 0.0f;
#endif
return kernel_tex_fetch(__attributes_float, desc.offset + ccl_fetch(sd, prim));
}
else if(desc.element == ATTR_ELEMENT_CURVE_KEY || desc.element == ATTR_ELEMENT_CURVE_KEY_MOTION) {
float4 curvedata = kernel_tex_fetch(__curves, ccl_fetch(sd, prim));
int k0 = __float_as_int(curvedata.x) + PRIMITIVE_UNPACK_SEGMENT(ccl_fetch(sd, type));
int k1 = k0 + 1;
float f0 = kernel_tex_fetch(__attributes_float, desc.offset + k0);
float f1 = kernel_tex_fetch(__attributes_float, desc.offset + k1);
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = ccl_fetch(sd, du).dx*(f1 - f0);
if(dy) *dy = 0.0f;
#endif
return (1.0f - ccl_fetch(sd, u))*f0 + ccl_fetch(sd, u)*f1;
}
else {
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = 0.0f;
if(dy) *dy = 0.0f;
#endif
return 0.0f;
}
}
ccl_device float3 curve_attribute_float3(KernelGlobals *kg, const ShaderData *sd, const AttributeDescriptor desc, float3 *dx, float3 *dy)
{
if(desc.element == ATTR_ELEMENT_CURVE) {
/* idea: we can't derive any useful differentials here, but for tiled
* mipmap image caching it would be useful to avoid reading the highest
* detail level always. maybe a derivative based on the hair density
* could be computed somehow? */
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = make_float3(0.0f, 0.0f, 0.0f);
if(dy) *dy = make_float3(0.0f, 0.0f, 0.0f);
#endif
return float4_to_float3(kernel_tex_fetch(__attributes_float3, desc.offset + ccl_fetch(sd, prim)));
}
else if(desc.element == ATTR_ELEMENT_CURVE_KEY || desc.element == ATTR_ELEMENT_CURVE_KEY_MOTION) {
float4 curvedata = kernel_tex_fetch(__curves, ccl_fetch(sd, prim));
int k0 = __float_as_int(curvedata.x) + PRIMITIVE_UNPACK_SEGMENT(ccl_fetch(sd, type));
int k1 = k0 + 1;
float3 f0 = float4_to_float3(kernel_tex_fetch(__attributes_float3, desc.offset + k0));
float3 f1 = float4_to_float3(kernel_tex_fetch(__attributes_float3, desc.offset + k1));
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = ccl_fetch(sd, du).dx*(f1 - f0);
if(dy) *dy = make_float3(0.0f, 0.0f, 0.0f);
#endif
return (1.0f - ccl_fetch(sd, u))*f0 + ccl_fetch(sd, u)*f1;
}
else {
#ifdef __RAY_DIFFERENTIALS__
if(dx) *dx = make_float3(0.0f, 0.0f, 0.0f);
if(dy) *dy = make_float3(0.0f, 0.0f, 0.0f);
#endif
return make_float3(0.0f, 0.0f, 0.0f);
}
}
/* Curve thickness */
ccl_device float curve_thickness(KernelGlobals *kg, ShaderData *sd)
{
float r = 0.0f;
if(ccl_fetch(sd, type) & PRIMITIVE_ALL_CURVE) {
float4 curvedata = kernel_tex_fetch(__curves, ccl_fetch(sd, prim));
int k0 = __float_as_int(curvedata.x) + PRIMITIVE_UNPACK_SEGMENT(ccl_fetch(sd, type));
int k1 = k0 + 1;
float4 P_curve[2];
if(ccl_fetch(sd, type) & PRIMITIVE_CURVE) {
P_curve[0]= kernel_tex_fetch(__curve_keys, k0);
P_curve[1]= kernel_tex_fetch(__curve_keys, k1);
}
else {
motion_curve_keys(kg, ccl_fetch(sd, object), ccl_fetch(sd, prim), ccl_fetch(sd, time), k0, k1, P_curve);
}
r = (P_curve[1].w - P_curve[0].w) * ccl_fetch(sd, u) + P_curve[0].w;
}
return r*2.0f;
}
/* Curve location for motion pass, linear interpolation between keys and
* ignoring radius because we do the same for the motion keys */
ccl_device float3 curve_motion_center_location(KernelGlobals *kg, ShaderData *sd)
{
float4 curvedata = kernel_tex_fetch(__curves, ccl_fetch(sd, prim));
int k0 = __float_as_int(curvedata.x) + PRIMITIVE_UNPACK_SEGMENT(ccl_fetch(sd, type));
int k1 = k0 + 1;
float4 P_curve[2];
P_curve[0]= kernel_tex_fetch(__curve_keys, k0);
P_curve[1]= kernel_tex_fetch(__curve_keys, k1);
return float4_to_float3(P_curve[1]) * ccl_fetch(sd, u) + float4_to_float3(P_curve[0]) * (1.0f - ccl_fetch(sd, u));
}
/* Curve tangent normal */
ccl_device float3 curve_tangent_normal(KernelGlobals *kg, ShaderData *sd)
{
float3 tgN = make_float3(0.0f,0.0f,0.0f);
if(ccl_fetch(sd, type) & PRIMITIVE_ALL_CURVE) {
tgN = -(-ccl_fetch(sd, I) - ccl_fetch(sd, dPdu) * (dot(ccl_fetch(sd, dPdu),-ccl_fetch(sd, I)) / len_squared(ccl_fetch(sd, dPdu))));
tgN = normalize(tgN);
/* need to find suitable scaled gd for corrected normal */
#if 0
tgN = normalize(tgN - gd * ccl_fetch(sd, dPdu));
#endif
}
return tgN;
}
/* Curve bounds utility function */
ccl_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) {
float inv3p3 = (1.0f/3.0f)/p3;
halfdiscroot = sqrtf(halfdiscroot);
ta = (-p2 - halfdiscroot) * inv3p3;
tb = (-p2 + halfdiscroot) * inv3p3;
}
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;
*upper = fmaxf(*extrema, *upper);
*lower = fminf(*extrema, *lower);
}
if(tb > 0.0f && tb < 1.0f) {
t2 = tb * tb;
t3 = t2 * tb;
*extremtb = tb;
*extremb = p3 * t3 + p2 * t2 + p1 * tb + p0;
*upper = fmaxf(*extremb, *upper);
*lower = fminf(*extremb, *lower);
}
}
#ifdef __KERNEL_SSE2__
ccl_device_inline ssef transform_point_T3(const ssef t[3], const ssef &a)
{
return madd(shuffle<0>(a), t[0], madd(shuffle<1>(a), t[1], shuffle<2>(a) * t[2]));
}
#endif
#ifdef __KERNEL_SSE2__
/* Pass P and dir by reference to aligned vector */
ccl_device_forceinline bool bvh_cardinal_curve_intersect(KernelGlobals *kg, Intersection *isect,
const float3 &P, const float3 &dir, uint visibility, int object, int curveAddr, float time, int type, uint *lcg_state, float difl, float extmax)
#else
ccl_device_forceinline bool bvh_cardinal_curve_intersect(KernelGlobals *kg, Intersection *isect,
float3 P, float3 dir, uint visibility, int object, int curveAddr, float time,int type, uint *lcg_state, float difl, float extmax)
#endif
{
const bool is_curve_primitive = (type & PRIMITIVE_CURVE);
if(!is_curve_primitive && kernel_data.bvh.use_bvh_steps) {
const float2 prim_time = kernel_tex_fetch(__prim_time, curveAddr);
if(time < prim_time.x || time > prim_time.y) {
return false;
}
}
int segment = PRIMITIVE_UNPACK_SEGMENT(type);
float epsilon = 0.0f;
float r_st, r_en;
int depth = kernel_data.curve.subdivisions;
int flags = kernel_data.curve.curveflags;
int prim = kernel_tex_fetch(__prim_index, curveAddr);
#ifdef __KERNEL_SSE2__
ssef vdir = load4f(dir);
ssef vcurve_coef[4];
const float3 *curve_coef = (float3 *)vcurve_coef;
{
ssef dtmp = vdir * vdir;
ssef d_ss = mm_sqrt(dtmp + shuffle<2>(dtmp));
ssef rd_ss = load1f_first(1.0f) / d_ss;
ssei v00vec = load4i((ssei *)&kg->__curves.data[prim]);
int2 &v00 = (int2 &)v00vec;
int k0 = v00.x + segment;
int k1 = k0 + 1;
int ka = max(k0 - 1, v00.x);
int kb = min(k1 + 1, v00.x + v00.y - 1);
#ifdef __KERNEL_AVX2__
avxf P_curve_0_1, P_curve_2_3;
if(is_curve_primitive) {
P_curve_0_1 = _mm256_loadu2_m128(&kg->__curve_keys.data[k0].x, &kg->__curve_keys.data[ka].x);
P_curve_2_3 = _mm256_loadu2_m128(&kg->__curve_keys.data[kb].x, &kg->__curve_keys.data[k1].x);
}
else {
int fobject = (object == OBJECT_NONE) ? kernel_tex_fetch(__prim_object, curveAddr) : object;
motion_cardinal_curve_keys_avx(kg, fobject, prim, time, ka, k0, k1, kb, &P_curve_0_1,&P_curve_2_3);
}
#else /* __KERNEL_AVX2__ */
ssef P_curve[4];
if(is_curve_primitive) {
P_curve[0] = load4f(&kg->__curve_keys.data[ka].x);
P_curve[1] = load4f(&kg->__curve_keys.data[k0].x);
P_curve[2] = load4f(&kg->__curve_keys.data[k1].x);
P_curve[3] = load4f(&kg->__curve_keys.data[kb].x);
}
else {
int fobject = (object == OBJECT_NONE)? kernel_tex_fetch(__prim_object, curveAddr): object;
motion_cardinal_curve_keys(kg, fobject, prim, time, ka, k0, k1, kb, (float4*)&P_curve);
}
#endif /* __KERNEL_AVX2__ */
ssef rd_sgn = set_sign_bit<0, 1, 1, 1>(shuffle<0>(rd_ss));
ssef mul_zxxy = shuffle<2, 0, 0, 1>(vdir) * rd_sgn;
ssef mul_yz = shuffle<1, 2, 1, 2>(vdir) * mul_zxxy;
ssef mul_shuf = shuffle<0, 1, 2, 3>(mul_zxxy, mul_yz);
ssef vdir0 = vdir & cast(ssei(0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0));
ssef htfm0 = shuffle<0, 2, 0, 3>(mul_shuf, vdir0);
ssef htfm1 = shuffle<1, 0, 1, 3>(load1f_first(extract<0>(d_ss)), vdir0);
ssef htfm2 = shuffle<1, 3, 2, 3>(mul_shuf, vdir0);
#ifdef __KERNEL_AVX2__
const avxf vPP = _mm256_broadcast_ps(&P.m128);
const avxf htfm00 = avxf(htfm0.m128, htfm0.m128);
const avxf htfm11 = avxf(htfm1.m128, htfm1.m128);
const avxf htfm22 = avxf(htfm2.m128, htfm2.m128);
const avxf p01 = madd(shuffle<0>(P_curve_0_1 - vPP),
htfm00,
madd(shuffle<1>(P_curve_0_1 - vPP),
htfm11,
shuffle<2>(P_curve_0_1 - vPP) * htfm22));
const avxf p23 = madd(shuffle<0>(P_curve_2_3 - vPP),
htfm00,
madd(shuffle<1>(P_curve_2_3 - vPP),
htfm11,
shuffle<2>(P_curve_2_3 - vPP)*htfm22));
const ssef p0 = _mm256_castps256_ps128(p01);
const ssef p1 = _mm256_extractf128_ps(p01, 1);
const ssef p2 = _mm256_castps256_ps128(p23);
const ssef p3 = _mm256_extractf128_ps(p23, 1);
const ssef P_curve_1 = _mm256_extractf128_ps(P_curve_0_1, 1);
r_st = ((float4 &)P_curve_1).w;
const ssef P_curve_2 = _mm256_castps256_ps128(P_curve_2_3);
r_en = ((float4 &)P_curve_2).w;
#else /* __KERNEL_AVX2__ */
ssef htfm[] = { htfm0, htfm1, htfm2 };
ssef vP = load4f(P);
ssef p0 = transform_point_T3(htfm, P_curve[0] - vP);
ssef p1 = transform_point_T3(htfm, P_curve[1] - vP);
ssef p2 = transform_point_T3(htfm, P_curve[2] - vP);
ssef p3 = transform_point_T3(htfm, P_curve[3] - vP);
r_st = ((float4 &)P_curve[1]).w;
r_en = ((float4 &)P_curve[2]).w;
#endif /* __KERNEL_AVX2__ */
float fc = 0.71f;
ssef vfc = ssef(fc);
ssef vfcxp3 = vfc * p3;
vcurve_coef[0] = p1;
vcurve_coef[1] = vfc * (p2 - p0);
vcurve_coef[2] = madd(ssef(fc * 2.0f), p0, madd(ssef(fc - 3.0f), p1, msub(ssef(3.0f - 2.0f * fc), p2, vfcxp3)));
vcurve_coef[3] = msub(ssef(fc - 2.0f), p2 - p1, msub(vfc, p0, vfcxp3));
}
#else
float3 curve_coef[4];
/* curve Intersection check */
/* obtain curve parameters */
{
/* ray transform created - this should 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);
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 P_curve[4];
if(is_curve_primitive) {
P_curve[0] = kernel_tex_fetch(__curve_keys, ka);
P_curve[1] = kernel_tex_fetch(__curve_keys, k0);
P_curve[2] = kernel_tex_fetch(__curve_keys, k1);
P_curve[3] = kernel_tex_fetch(__curve_keys, kb);
}
else {
int fobject = (object == OBJECT_NONE)? kernel_tex_fetch(__prim_object, curveAddr): object;
motion_cardinal_curve_keys(kg, fobject, prim, time, ka, k0, k1, kb, P_curve);
}
float3 p0 = transform_point(&htfm, float4_to_float3(P_curve[0]) - P);
float3 p1 = transform_point(&htfm, float4_to_float3(P_curve[1]) - P);
float3 p2 = transform_point(&htfm, float4_to_float3(P_curve[2]) - P);
float3 p3 = transform_point(&htfm, float4_to_float3(P_curve[3]) - P);
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 = P_curve[1].w;
r_en = P_curve[2].w;
}
#endif
float r_curr = max(r_st, r_en);
if((flags & CURVE_KN_RIBBONS) || !(flags & CURVE_KN_BACKFACING))
epsilon = 2 * r_curr;
/* find bounds - this is slow for cubic curves */
float upper, lower;
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 < epsilon)
return false;
/* minimum width extension */
float mw_extension = min(difl * fabsf(upper), extmax);
float r_ext = mw_extension + r_curr;
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_ext || upper < -r_ext)
return false;
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_ext || upper < -r_ext)
return false;
/* setup recurrent loop */
int level = 1 << depth;
int tree = 0;
float resol = 1.0f / (float)level;
bool hit = false;
/* begin loop */
while(!(tree >> (depth))) {
const float i_st = tree * resol;
const float i_en = i_st + (level * resol);
#ifdef __KERNEL_SSE2__
ssef vi_st = ssef(i_st), vi_en = ssef(i_en);
ssef vp_st = madd(madd(madd(vcurve_coef[3], vi_st, vcurve_coef[2]), vi_st, vcurve_coef[1]), vi_st, vcurve_coef[0]);
ssef vp_en = madd(madd(madd(vcurve_coef[3], vi_en, vcurve_coef[2]), vi_en, vcurve_coef[1]), vi_en, vcurve_coef[0]);
ssef vbmin = min(vp_st, vp_en);
ssef vbmax = max(vp_st, vp_en);
float3 &bmin = (float3 &)vbmin, &bmax = (float3 &)vbmax;
float &bminx = bmin.x, &bminy = bmin.y, &bminz = bmin.z;
float &bmaxx = bmax.x, &bmaxy = bmax.y, &bmaxz = bmax.z;
float3 &p_st = (float3 &)vp_st, &p_en = (float3 &)vp_en;
#else
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);
#endif
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);
mw_extension = min(difl * fabsf(bmaxz), extmax);
float r_ext = mw_extension + r_curr;
float coverage = 1.0f;
if(bminz - r_curr > isect->t || bmaxz + r_curr < epsilon || bminx > r_ext|| bmaxx < -r_ext|| bminy > r_ext|| bmaxy < -r_ext) {
/* 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;
float gd = 0.0f;
if(flags & CURVE_KN_RIBBONS) {
float3 tg = (p_en - p_st);
#ifdef __KERNEL_SSE__
const float3 tg_sq = tg * tg;
float w = tg_sq.x + tg_sq.y;
#else
float w = tg.x * tg.x + tg.y * tg.y;
#endif
if(w == 0) {
tree++;
level = tree & -tree;
continue;
}
#ifdef __KERNEL_SSE__
const float3 p_sttg = p_st * tg;
w = -(p_sttg.x + p_sttg.y) / w;
#else
w = -(p_st.x * tg.x + p_st.y * tg.y) / w;
#endif
w = saturate(w);
/* 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;
}
/* compute coverage */
float r_ext = r_curr;
coverage = 1.0f;
if(difl != 0.0f) {
mw_extension = min(difl * fabsf(bmaxz), extmax);
r_ext = mw_extension + r_curr;
#ifdef __KERNEL_SSE__
const float3 p_curr_sq = p_curr * p_curr;
const float3 dxxx = _mm_sqrt_ss(_mm_hadd_ps(p_curr_sq.m128, p_curr_sq.m128));
float d = dxxx.x;
#else
float d = sqrtf(p_curr.x * p_curr.x + p_curr.y * p_curr.y);
#endif
float d0 = d - r_curr;
float d1 = d + r_curr;
float inv_mw_extension = 1.0f/mw_extension;
if(d0 >= 0)
coverage = (min(d1 * inv_mw_extension, 1.0f) - min(d0 * inv_mw_extension, 1.0f)) * 0.5f;
else // inside
coverage = (min(d1 * inv_mw_extension, 1.0f) + min(-d0 * inv_mw_extension, 1.0f)) * 0.5f;
}
if(p_curr.x * p_curr.x + p_curr.y * p_curr.y >= r_ext * r_ext || p_curr.z <= epsilon || isect->t < p_curr.z) {
tree++;
level = tree & -tree;
continue;
}
t = p_curr.z;
/* stochastic fade from minimum width */
if(difl != 0.0f && lcg_state) {
if(coverage != 1.0f && (lcg_step_float(lcg_state) > coverage))
return hit;
}
}
else {
float l = len(p_en - p_st);
/* minimum width extension */
float or1 = r1;
float or2 = r2;
if(difl != 0.0f) {
mw_extension = min(len(p_st - P) * difl, extmax);
or1 = r1 < mw_extension ? mw_extension : r1;
mw_extension = min(len(p_en - P) * difl, extmax);
or2 = r2 < mw_extension ? mw_extension : r2;
}
/* --- */
float invl = 1.0f/l;
float3 tg = (p_en - p_st) * invl;
gd = (or2 - or1) * invl;
float difz = -dot(p_st,tg);
float cyla = 1.0f - (tg.z * tg.z * (1 + gd*gd));
float invcyla = 1.0f/cyla;
float halfb = (-p_st.z - tg.z*(difz + gd*(difz*gd + or1)));
float tcentre = -halfb*invcyla;
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 + or1)));
float tc = dot(tdif,tdif) - tdifz * tdifz * (1 + gd*gd) - or1*or1 - 2*or1*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) * 0.5f * invcyla;
t = tcentre + correction;
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) * 0.5f * invcyla;
t = tcentre + correction;
}
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;
}
float w = (zcentre + (tg.z * correction)) * invl;
w = saturate(w);
/* compute u on the curve segment */
u = i_st * (1 - w) + i_en * w;
/* stochastic fade from minimum width */
if(difl != 0.0f && lcg_state) {
r_curr = r1 + (r2 - r1) * w;
r_ext = or1 + (or2 - or1) * w;
coverage = r_curr/r_ext;
if(coverage != 1.0f && (lcg_step_float(lcg_state) > coverage))
return hit;
}
}
/* 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->t = t;
isect->u = u;
isect->v = gd;
isect->prim = curveAddr;
isect->object = object;
isect->type = type;
hit = true;
}
tree++;
level = tree & -tree;
}
else {
/* split the curve into two curves and process */
level = level >> 1;
}
}
return hit;
}
ccl_device_forceinline bool bvh_curve_intersect(KernelGlobals *kg, Intersection *isect,
float3 P, float3 direction, uint visibility, int object, int curveAddr, float time, int type, uint *lcg_state, float difl, float extmax)
{
/* define few macros to minimize code duplication for SSE */
#ifndef __KERNEL_SSE2__
# define len3_squared(x) len_squared(x)
# define len3(x) len(x)
# define dot3(x, y) dot(x, y)
#endif
const bool is_curve_primitive = (type & PRIMITIVE_CURVE);
if(!is_curve_primitive && kernel_data.bvh.use_bvh_steps) {
const float2 prim_time = kernel_tex_fetch(__prim_time, curveAddr);
if(time < prim_time.x || time > prim_time.y) {
return false;
}
}
int segment = PRIMITIVE_UNPACK_SEGMENT(type);
/* curve Intersection check */
int flags = kernel_data.curve.curveflags;
int prim = kernel_tex_fetch(__prim_index, curveAddr);
float4 v00 = kernel_tex_fetch(__curves, prim);
int cnum = __float_as_int(v00.x);
int k0 = cnum + segment;
int k1 = k0 + 1;
#ifndef __KERNEL_SSE2__
float4 P_curve[2];
if(is_curve_primitive) {
P_curve[0] = kernel_tex_fetch(__curve_keys, k0);
P_curve[1] = kernel_tex_fetch(__curve_keys, k1);
}
else {
int fobject = (object == OBJECT_NONE)? kernel_tex_fetch(__prim_object, curveAddr): object;
motion_curve_keys(kg, fobject, prim, time, k0, k1, P_curve);
}
float or1 = P_curve[0].w;
float or2 = P_curve[1].w;
float3 p1 = float4_to_float3(P_curve[0]);
float3 p2 = float4_to_float3(P_curve[1]);
/* minimum width extension */
float r1 = or1;
float r2 = or2;
float3 dif = P - p1;
float3 dif_second = P - p2;
if(difl != 0.0f) {
float pixelsize = min(len3(dif) * difl, extmax);
r1 = or1 < pixelsize ? pixelsize : or1;
pixelsize = min(len3(dif_second) * difl, extmax);
r2 = or2 < pixelsize ? pixelsize : or2;
}
/* --- */
float3 p21_diff = p2 - p1;
float3 sphere_dif1 = (dif + dif_second) * 0.5f;
float3 dir = direction;
float sphere_b_tmp = dot3(dir, sphere_dif1);
float3 sphere_dif2 = sphere_dif1 - sphere_b_tmp * dir;
#else
ssef P_curve[2];
if(is_curve_primitive) {
P_curve[0] = load4f(&kg->__curve_keys.data[k0].x);
P_curve[1] = load4f(&kg->__curve_keys.data[k1].x);
}
else {
int fobject = (object == OBJECT_NONE)? kernel_tex_fetch(__prim_object, curveAddr): object;
motion_curve_keys(kg, fobject, prim, time, k0, k1, (float4*)&P_curve);
}
const ssef or12 = shuffle<3, 3, 3, 3>(P_curve[0], P_curve[1]);
ssef r12 = or12;
const ssef vP = load4f(P);
const ssef dif = vP - P_curve[0];
const ssef dif_second = vP - P_curve[1];
if(difl != 0.0f) {
const ssef len1_sq = len3_squared_splat(dif);
const ssef len2_sq = len3_squared_splat(dif_second);
const ssef len12 = mm_sqrt(shuffle<0, 0, 0, 0>(len1_sq, len2_sq));
const ssef pixelsize12 = min(len12 * difl, ssef(extmax));
r12 = max(or12, pixelsize12);
}
float or1 = extract<0>(or12), or2 = extract<0>(shuffle<2>(or12));
float r1 = extract<0>(r12), r2 = extract<0>(shuffle<2>(r12));
const ssef p21_diff = P_curve[1] - P_curve[0];
const ssef sphere_dif1 = (dif + dif_second) * 0.5f;
const ssef dir = load4f(direction);
const ssef sphere_b_tmp = dot3_splat(dir, sphere_dif1);
const ssef sphere_dif2 = nmadd(sphere_b_tmp, dir, sphere_dif1);
#endif
float mr = max(r1, r2);
float l = len3(p21_diff);
float invl = 1.0f / l;
float sp_r = mr + 0.5f * l;
float sphere_b = dot3(dir, sphere_dif2);
float sdisc = sphere_b * sphere_b - len3_squared(sphere_dif2) + sp_r * sp_r;
if(sdisc < 0.0f)
return false;
/* obtain parameters and test midpoint distance for suitable modes */
#ifndef __KERNEL_SSE2__
float3 tg = p21_diff * invl;
#else
const ssef tg = p21_diff * invl;
#endif
float gd = (r2 - r1) * invl;
float dirz = dot3(dir, tg);
float difz = dot3(dif, tg);
float a = 1.0f - (dirz*dirz*(1 + gd*gd));
float halfb = dot3(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 false;
if((zcentre < 0 || zcentre > l) && !(flags & CURVE_KN_ACCURATE) && !(flags & CURVE_KN_INTERSECTCORRECTION))
return false;
/* test minimum separation */
#ifndef __KERNEL_SSE2__
float3 cprod = cross(tg, dir);
float cprod2sq = len3_squared(cross(tg, dif));
#else
const ssef cprod = cross(tg, dir);
float cprod2sq = len3_squared(cross_zxy(tg, dif));
#endif
float cprodsq = len3_squared(cprod);
float distscaled = dot3(cprod, dif);
if(cprodsq == 0)
distscaled = cprod2sq;
else
distscaled = (distscaled*distscaled)/cprodsq;
if(distscaled > mr*mr)
return false;
/* calculate true intersection */
#ifndef __KERNEL_SSE2__
float3 tdif = dif + tcentre * dir;
#else
const ssef tdif = madd(ssef(tcentre), dir, dif);
#endif
float tdifz = dot3(tdif, tg);
float tdifma = tdifz*gd + r1;
float tb = 2*(dot3(dir, tdif) - dirz*(tdifz + gd*tdifma));
float tc = dot3(tdif, tdif) - tdifz*tdifz - tdifma*tdifma;
float td = tb*tb - 4*a*tc;
if(td < 0.0f)
return false;
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);
}
/* stochastic fade from minimum width */
float adjradius = or1 + z * (or2 - or1) * invl;
adjradius = adjradius / (r1 + z * gd);
if(lcg_state && adjradius != 1.0f) {
if(lcg_step_float(lcg_state) > adjradius)
return false;
}
/* --- */
if(t > 0.0f && t < isect->t && z >= 0 && z <= l) {
if(flags & CURVE_KN_ENCLOSEFILTER) {
float enc_ratio = 1.01f;
if((difz > -r1 * enc_ratio) && (dot3(dif_second, tg) < r2 * enc_ratio)) {
float a2 = 1.0f - (dirz*dirz*(1 + gd*gd*enc_ratio*enc_ratio));
float c2 = dot3(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 false;
}
}
#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->t = t;
isect->u = z*invl;
isect->v = gd;
isect->prim = curveAddr;
isect->object = object;
isect->type = type;
return true;
}
}
}
return false;
#ifndef __KERNEL_SSE2__
# undef len3_squared
# undef len3
# undef dot3
#endif
}
ccl_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;
}
ccl_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;
}
ccl_device_inline float3 bvh_curve_refine(KernelGlobals *kg, ShaderData *sd, const Intersection *isect, const Ray *ray)
{
int flag = kernel_data.curve.curveflags;
float t = isect->t;
float3 P = ray->P;
float3 D = ray->D;
if(isect->object != OBJECT_NONE) {
#ifdef __OBJECT_MOTION__
Transform tfm = ccl_fetch(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) + PRIMITIVE_UNPACK_SEGMENT(ccl_fetch(sd, type));
int k1 = k0 + 1;
float3 tg;
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 P_curve[4];
if(ccl_fetch(sd, type) & PRIMITIVE_CURVE) {
P_curve[0] = kernel_tex_fetch(__curve_keys, ka);
P_curve[1] = kernel_tex_fetch(__curve_keys, k0);
P_curve[2] = kernel_tex_fetch(__curve_keys, k1);
P_curve[3] = kernel_tex_fetch(__curve_keys, kb);
}
else {
motion_cardinal_curve_keys(kg, ccl_fetch(sd, object), ccl_fetch(sd, prim), ccl_fetch(sd, time), ka, k0, k1, kb, P_curve);
}
float3 p[4];
p[0] = float4_to_float3(P_curve[0]);
p[1] = float4_to_float3(P_curve[1]);
p[2] = float4_to_float3(P_curve[2]);
p[3] = float4_to_float3(P_curve[3]);
P = P + D*t;
#ifdef __UV__
ccl_fetch(sd, u) = isect->u;
ccl_fetch(sd, v) = 0.0f;
#endif
tg = normalize(curvetangent(isect->u, p[0], p[1], p[2], p[3]));
if(kernel_data.curve.curveflags & CURVE_KN_RIBBONS) {
ccl_fetch(sd, Ng) = normalize(-(D - tg * (dot(tg, D))));
}
else {
/* direction from inside to surface of curve */
float3 p_curr = curvepoint(isect->u, p[0], p[1], p[2], p[3]);
ccl_fetch(sd, Ng) = normalize(P - p_curr);
/* adjustment for changing radius */
float gd = isect->v;
if(gd != 0.0f) {
ccl_fetch(sd, Ng) = ccl_fetch(sd, Ng) - gd * tg;
ccl_fetch(sd, Ng) = normalize(ccl_fetch(sd, Ng));
}
}
/* todo: sometimes the normal is still so that this is detected as
* backfacing even if cull backfaces is enabled */
ccl_fetch(sd, N) = ccl_fetch(sd, Ng);
}
else {
float4 P_curve[2];
if(ccl_fetch(sd, type) & PRIMITIVE_CURVE) {
P_curve[0]= kernel_tex_fetch(__curve_keys, k0);
P_curve[1]= kernel_tex_fetch(__curve_keys, k1);
}
else {
motion_curve_keys(kg, ccl_fetch(sd, object), ccl_fetch(sd, prim), ccl_fetch(sd, time), k0, k1, P_curve);
}
float l = 1.0f;
tg = normalize_len(float4_to_float3(P_curve[1] - P_curve[0]), &l);
P = P + D*t;
float3 dif = P - float4_to_float3(P_curve[0]);
#ifdef __UV__
ccl_fetch(sd, u) = dot(dif,tg)/l;
ccl_fetch(sd, v) = 0.0f;
#endif
if(flag & CURVE_KN_TRUETANGENTGNORMAL) {
ccl_fetch(sd, Ng) = -(D - tg * dot(tg, D));
ccl_fetch(sd, Ng) = normalize(ccl_fetch(sd, Ng));
}
else {
float gd = isect->v;
/* direction from inside to surface of curve */
ccl_fetch(sd, Ng) = (dif - tg * ccl_fetch(sd, u) * l) / (P_curve[0].w + ccl_fetch(sd, u) * l * gd);
/* adjustment for changing radius */
if(gd != 0.0f) {
ccl_fetch(sd, Ng) = ccl_fetch(sd, Ng) - gd * tg;
ccl_fetch(sd, Ng) = normalize(ccl_fetch(sd, Ng));
}
}
ccl_fetch(sd, N) = ccl_fetch(sd, Ng);
}
#ifdef __DPDU__
/* dPdu/dPdv */
ccl_fetch(sd, dPdu) = tg;
ccl_fetch(sd, dPdv) = cross(tg, ccl_fetch(sd, Ng));
#endif
if(isect->object != OBJECT_NONE) {
#ifdef __OBJECT_MOTION__
Transform tfm = ccl_fetch(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
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