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authorjfons <joan.fonssanchez@gmail.com>2021-04-20 18:38:09 +0200
committerjfons <joan.fonssanchez@gmail.com>2021-04-23 15:57:28 +0200
commit34b3e8f9e2ae076990ecf3b2827eff759ba2abf9 (patch)
tree854a526a5ba2d6128e44d995d1bc138cf84ee722 /thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h
parenteeccab26c5641409092547e02ad11e6253ac1b87 (diff)
Add Embree-aarch64 thirdparty library
Diffstat (limited to 'thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h')
-rw-r--r--thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h296
1 files changed, 296 insertions, 0 deletions
diff --git a/thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h b/thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h
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+++ b/thirdparty/embree-aarch64/kernels/subdiv/catmullrom_curve.h
@@ -0,0 +1,296 @@
+// Copyright 2009-2020 Intel Corporation
+// SPDX-License-Identifier: Apache-2.0
+
+#pragma once
+
+#include "../common/default.h"
+#include "../common/scene_curves.h"
+
+/*
+
+ Implements Catmul Rom curves with control points p0, p1, p2, p3. At
+ t=0 the curve goes through p1, with tangent (p2-p0)/3, and for t=1
+ the curve goes through p2 with tangent (p3-p2)/2.
+
+ */
+
+namespace embree
+{
+ class CatmullRomBasis
+ {
+ public:
+
+ template<typename T>
+ static __forceinline Vec4<T> eval(const T& u)
+ {
+ const T t = u;
+ const T s = T(1.0f) - u;
+ const T n0 = - t * s * s;
+ const T n1 = 2.0f + t * t * (3.0f * t - 5.0f);
+ const T n2 = 2.0f + s * s * (3.0f * s - 5.0f);
+ const T n3 = - s * t * t;
+ return T(0.5f) * Vec4<T>(n0, n1, n2, n3);
+ }
+
+ template<typename T>
+ static __forceinline Vec4<T> derivative(const T& u)
+ {
+ const T t = u;
+ const T s = 1.0f - u;
+ const T n0 = - s * s + 2.0f * s * t;
+ const T n1 = 2.0f * t * (3.0f * t - 5.0f) + 3.0f * t * t;
+ const T n2 = 2.0f * s * (3.0f * t + 2.0f) - 3.0f * s * s;
+ const T n3 = -2.0f * s * t + t * t;
+ return T(0.5f) * Vec4<T>(n0, n1, n2, n3);
+ }
+
+ template<typename T>
+ static __forceinline Vec4<T> derivative2(const T& u)
+ {
+ const T t = u;
+ const T n0 = -3.0f * t + 2.0f;
+ const T n1 = 9.0f * t - 5.0f;
+ const T n2 = -9.0f * t + 4.0f;
+ const T n3 = 3.0f * t - 1.0f;
+ return Vec4<T>(n0, n1, n2, n3);
+ }
+ };
+
+ struct PrecomputedCatmullRomBasis
+ {
+ enum { N = 16 };
+ public:
+ PrecomputedCatmullRomBasis() {}
+ PrecomputedCatmullRomBasis(int shift);
+
+ /* basis for bspline evaluation */
+ public:
+ float c0[N+1][N+1];
+ float c1[N+1][N+1];
+ float c2[N+1][N+1];
+ float c3[N+1][N+1];
+
+ /* basis for bspline derivative evaluation */
+ public:
+ float d0[N+1][N+1];
+ float d1[N+1][N+1];
+ float d2[N+1][N+1];
+ float d3[N+1][N+1];
+ };
+ extern PrecomputedCatmullRomBasis catmullrom_basis0;
+ extern PrecomputedCatmullRomBasis catmullrom_basis1;
+
+ template<typename Vertex>
+ struct CatmullRomCurveT
+ {
+ Vertex v0,v1,v2,v3;
+
+ __forceinline CatmullRomCurveT() {}
+
+ __forceinline CatmullRomCurveT(const Vertex& v0, const Vertex& v1, const Vertex& v2, const Vertex& v3)
+ : v0(v0), v1(v1), v2(v2), v3(v3) {}
+
+ __forceinline Vertex begin() const {
+ return madd(1.0f/6.0f,v0,madd(2.0f/3.0f,v1,1.0f/6.0f*v2));
+ }
+
+ __forceinline Vertex end() const {
+ return madd(1.0f/6.0f,v1,madd(2.0f/3.0f,v2,1.0f/6.0f*v3));
+ }
+
+ __forceinline Vertex center() const {
+ return 0.25f*(v0+v1+v2+v3);
+ }
+
+ __forceinline BBox<Vertex> bounds() const {
+ return merge(BBox<Vertex>(v0),BBox<Vertex>(v1),BBox<Vertex>(v2),BBox<Vertex>(v3));
+ }
+
+ __forceinline friend CatmullRomCurveT operator -( const CatmullRomCurveT& a, const Vertex& b ) {
+ return CatmullRomCurveT(a.v0-b,a.v1-b,a.v2-b,a.v3-b);
+ }
+
+ __forceinline CatmullRomCurveT<Vec3ff> xfm_pr(const LinearSpace3fa& space, const Vec3fa& p) const
+ {
+ const Vec3ff q0(xfmVector(space,v0-p), v0.w);
+ const Vec3ff q1(xfmVector(space,v1-p), v1.w);
+ const Vec3ff q2(xfmVector(space,v2-p), v2.w);
+ const Vec3ff q3(xfmVector(space,v3-p), v3.w);
+ return CatmullRomCurveT<Vec3ff>(q0,q1,q2,q3);
+ }
+
+ __forceinline Vertex eval(const float t) const
+ {
+ const Vec4<float> b = CatmullRomBasis::eval(t);
+ return madd(b.x,v0,madd(b.y,v1,madd(b.z,v2,b.w*v3)));
+ }
+
+ __forceinline Vertex eval_du(const float t) const
+ {
+ const Vec4<float> b = CatmullRomBasis::derivative(t);
+ return madd(b.x,v0,madd(b.y,v1,madd(b.z,v2,b.w*v3)));
+ }
+
+ __forceinline Vertex eval_dudu(const float t) const
+ {
+ const Vec4<float> b = CatmullRomBasis::derivative2(t);
+ return madd(b.x,v0,madd(b.y,v1,madd(b.z,v2,b.w*v3)));
+ }
+
+ __forceinline void eval(const float t, Vertex& p, Vertex& dp, Vertex& ddp) const
+ {
+ p = eval(t);
+ dp = eval_du(t);
+ ddp = eval_dudu(t);
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> veval(const vfloat<M>& t) const
+ {
+ const Vec4vf<M> b = CatmullRomBasis::eval(t);
+ return madd(b.x, Vec4vf<M>(v0), madd(b.y, Vec4vf<M>(v1), madd(b.z, Vec4vf<M>(v2), b.w * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> veval_du(const vfloat<M>& t) const
+ {
+ const Vec4vf<M> b = CatmullRomBasis::derivative(t);
+ return madd(b.x, Vec4vf<M>(v0), madd(b.y, Vec4vf<M>(v1), madd(b.z, Vec4vf<M>(v2), b.w * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> veval_dudu(const vfloat<M>& t) const
+ {
+ const Vec4vf<M> b = CatmullRomBasis::derivative2(t);
+ return madd(b.x, Vec4vf<M>(v0), madd(b.y, Vec4vf<M>(v1), madd(b.z, Vec4vf<M>(v2), b.w * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline void veval(const vfloat<M>& t, Vec4vf<M>& p, Vec4vf<M>& dp) const
+ {
+ p = veval(t);
+ dp = veval_du(t);
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> eval0(const int ofs, const int size) const
+ {
+ assert(size <= PrecomputedCatmullRomBasis::N);
+ assert(ofs <= size);
+ return madd(vfloat<M>::loadu(&catmullrom_basis0.c0[size][ofs]), Vec4vf<M>(v0),
+ madd(vfloat<M>::loadu(&catmullrom_basis0.c1[size][ofs]), Vec4vf<M>(v1),
+ madd(vfloat<M>::loadu(&catmullrom_basis0.c2[size][ofs]), Vec4vf<M>(v2),
+ vfloat<M>::loadu(&catmullrom_basis0.c3[size][ofs]) * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> eval1(const int ofs, const int size) const
+ {
+ assert(size <= PrecomputedCatmullRomBasis::N);
+ assert(ofs <= size);
+ return madd(vfloat<M>::loadu(&catmullrom_basis1.c0[size][ofs]), Vec4vf<M>(v0),
+ madd(vfloat<M>::loadu(&catmullrom_basis1.c1[size][ofs]), Vec4vf<M>(v1),
+ madd(vfloat<M>::loadu(&catmullrom_basis1.c2[size][ofs]), Vec4vf<M>(v2),
+ vfloat<M>::loadu(&catmullrom_basis1.c3[size][ofs]) * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> derivative0(const int ofs, const int size) const
+ {
+ assert(size <= PrecomputedCatmullRomBasis::N);
+ assert(ofs <= size);
+ return madd(vfloat<M>::loadu(&catmullrom_basis0.d0[size][ofs]), Vec4vf<M>(v0),
+ madd(vfloat<M>::loadu(&catmullrom_basis0.d1[size][ofs]), Vec4vf<M>(v1),
+ madd(vfloat<M>::loadu(&catmullrom_basis0.d2[size][ofs]), Vec4vf<M>(v2),
+ vfloat<M>::loadu(&catmullrom_basis0.d3[size][ofs]) * Vec4vf<M>(v3))));
+ }
+
+ template<int M>
+ __forceinline Vec4vf<M> derivative1(const int ofs, const int size) const
+ {
+ assert(size <= PrecomputedCatmullRomBasis::N);
+ assert(ofs <= size);
+ return madd(vfloat<M>::loadu(&catmullrom_basis1.d0[size][ofs]), Vec4vf<M>(v0),
+ madd(vfloat<M>::loadu(&catmullrom_basis1.d1[size][ofs]), Vec4vf<M>(v1),
+ madd(vfloat<M>::loadu(&catmullrom_basis1.d2[size][ofs]), Vec4vf<M>(v2),
+ vfloat<M>::loadu(&catmullrom_basis1.d3[size][ofs]) * Vec4vf<M>(v3))));
+ }
+
+ /* calculates bounds of catmull-rom curve geometry */
+ __forceinline BBox3fa accurateRoundBounds() const
+ {
+ const int N = 7;
+ const float scale = 1.0f/(3.0f*(N-1));
+ Vec4vfx pl(pos_inf), pu(neg_inf);
+ for (int i=0; i<=N; i+=VSIZEX)
+ {
+ vintx vi = vintx(i)+vintx(step);
+ vboolx valid = vi <= vintx(N);
+ const Vec4vfx p = eval0<VSIZEX>(i,N);
+ const Vec4vfx dp = derivative0<VSIZEX>(i,N);
+ const Vec4vfx pm = p-Vec4vfx(scale)*select(vi!=vintx(0),dp,Vec4vfx(zero));
+ const Vec4vfx pp = p+Vec4vfx(scale)*select(vi!=vintx(N),dp,Vec4vfx(zero));
+ pl = select(valid,min(pl,p,pm,pp),pl); // FIXME: use masked min
+ pu = select(valid,max(pu,p,pm,pp),pu); // FIXME: use masked min
+ }
+ const Vec3fa lower(reduce_min(pl.x),reduce_min(pl.y),reduce_min(pl.z));
+ const Vec3fa upper(reduce_max(pu.x),reduce_max(pu.y),reduce_max(pu.z));
+ const float r_min = reduce_min(pl.w);
+ const float r_max = reduce_max(pu.w);
+ const Vec3fa upper_r = Vec3fa(max(abs(r_min),abs(r_max)));
+ return enlarge(BBox3fa(lower,upper),upper_r);
+ }
+
+ /* calculates bounds when tessellated into N line segments */
+ __forceinline BBox3fa accurateFlatBounds(int N) const
+ {
+ if (likely(N == 4))
+ {
+ const Vec4vf4 pi = eval0<4>(0,4);
+ const Vec3fa lower(reduce_min(pi.x),reduce_min(pi.y),reduce_min(pi.z));
+ const Vec3fa upper(reduce_max(pi.x),reduce_max(pi.y),reduce_max(pi.z));
+ const Vec3fa upper_r = Vec3fa(reduce_max(abs(pi.w)));
+ const Vec3ff pe = end();
+ return enlarge(BBox3fa(min(lower,pe),max(upper,pe)),max(upper_r,Vec3fa(abs(pe.w))));
+ }
+ else
+ {
+ Vec3vfx pl(pos_inf), pu(neg_inf); vfloatx ru(0.0f);
+ for (int i=0; i<=N; i+=VSIZEX)
+ {
+ vboolx valid = vintx(i)+vintx(step) <= vintx(N);
+ const Vec4vfx pi = eval0<VSIZEX>(i,N);
+
+ pl.x = select(valid,min(pl.x,pi.x),pl.x); // FIXME: use masked min
+ pl.y = select(valid,min(pl.y,pi.y),pl.y);
+ pl.z = select(valid,min(pl.z,pi.z),pl.z);
+
+ pu.x = select(valid,max(pu.x,pi.x),pu.x); // FIXME: use masked min
+ pu.y = select(valid,max(pu.y,pi.y),pu.y);
+ pu.z = select(valid,max(pu.z,pi.z),pu.z);
+
+ ru = select(valid,max(ru,abs(pi.w)),ru);
+ }
+ const Vec3fa lower(reduce_min(pl.x),reduce_min(pl.y),reduce_min(pl.z));
+ const Vec3fa upper(reduce_max(pu.x),reduce_max(pu.y),reduce_max(pu.z));
+ const Vec3fa upper_r(reduce_max(ru));
+ return enlarge(BBox3fa(lower,upper),upper_r);
+ }
+ }
+
+ friend __forceinline embree_ostream operator<<(embree_ostream cout, const CatmullRomCurveT& curve) {
+ return cout << "CatmullRomCurve { v0 = " << curve.v0 << ", v1 = " << curve.v1 << ", v2 = " << curve.v2 << ", v3 = " << curve.v3 << " }";
+ }
+ };
+
+ __forceinline CatmullRomCurveT<Vec3ff> enlargeRadiusToMinWidth(const IntersectContext* context, const CurveGeometry* geom, const Vec3fa& ray_org, const CatmullRomCurveT<Vec3ff>& curve)
+ {
+ return CatmullRomCurveT<Vec3ff>(enlargeRadiusToMinWidth(context,geom,ray_org,curve.v0),
+ enlargeRadiusToMinWidth(context,geom,ray_org,curve.v1),
+ enlargeRadiusToMinWidth(context,geom,ray_org,curve.v2),
+ enlargeRadiusToMinWidth(context,geom,ray_org,curve.v3));
+ }
+
+ typedef CatmullRomCurveT<Vec3fa> CatmullRomCurve3fa;
+}
+