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#include "GuBarycentricCoordinates.h"

using namespace physx;
using namespace aos;

void Gu::barycentricCoordinates(const Vec3VArg p, const Vec3VArg a, const Vec3VArg b, FloatV& v)
{
	const Vec3V v0 = V3Sub(a, p);
	const Vec3V v1 = V3Sub(b, p);
	const Vec3V d = V3Sub(v1, v0);
	const FloatV denominator = V3Dot(d, d);
	const FloatV numerator = V3Dot(V3Neg(v0), d);
	const FloatV zero = FZero();
	const FloatV denom = FSel(FIsGrtr(denominator, zero), FRecip(denominator), zero);
	v = FMul(numerator, denom);
}

void Gu::barycentricCoordinates(const aos::Vec3VArg p, const aos::Vec3VArg a, const aos::Vec3VArg b, const aos::Vec3VArg c, aos::FloatV& v, aos::FloatV& w)
{
	const Vec3V ab = V3Sub(b, a);
	const Vec3V ac = V3Sub(c, a);

	const Vec3V n = V3Cross(ab, ac);

	const VecCrossV crossA = V3PrepareCross(V3Sub(a, p));
	const VecCrossV crossB = V3PrepareCross(V3Sub(b, p));
	const VecCrossV crossC = V3PrepareCross(V3Sub(c, p));
	const Vec3V bCrossC = V3Cross(crossB, crossC);
	const Vec3V cCrossA = V3Cross(crossC, crossA);
	const Vec3V aCrossB = V3Cross(crossA, crossB);

	const FloatV va = V3Dot(n, bCrossC);//edge region of BC, signed area rbc, u = S(rbc)/S(abc) for a
	const FloatV vb = V3Dot(n, cCrossA);//edge region of AC, signed area rac, v = S(rca)/S(abc) for b
	const FloatV vc = V3Dot(n, aCrossB);//edge region of AB, signed area rab, w = S(rab)/S(abc) for c
	const FloatV totalArea = FAdd(va, FAdd(vb, vc));
	const FloatV zero = FZero();
	const FloatV denom = FSel(FIsEq(totalArea, zero), zero, FRecip(totalArea));
	v = FMul(vb, denom);
	w = FMul(vc, denom);	
}

//	v0 = b - a;
//	v1 = c - a;
//	v2 = p - a;
void Gu::barycentricCoordinates(const Vec3VArg v0, const Vec3VArg v1, const Vec3VArg v2, FloatV& v, FloatV& w)
{
	const FloatV d00 = V3Dot(v0, v0);
	const FloatV d01 = V3Dot(v0, v1);
	const FloatV d11 = V3Dot(v1, v1);
	const FloatV d20 = V3Dot(v2, v0);
	const FloatV d21 = V3Dot(v2, v1);
	const FloatV denom = FRecip(FSub(FMul(d00,d11), FMul(d01, d01)));
	v = FMul(FSub(FMul(d11, d20), FMul(d01, d21)), denom);
	w = FMul(FSub(FMul(d00, d21), FMul(d01, d20)), denom);
}

