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#ifndef RTS_TRIANGLE_H
#define RTS_TRIANGLE_H
//enable CUDA_CALLABLE macro
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#include "../cuda/callable.h"
#include "../math/vector.h"
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#include <iostream>
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namespace stim{
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template <class T, int N=3>
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struct triangle
{
/*
A------>B
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C
*/
private:
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vec<T, N> A;
vec<T, N> B;
vec<T, N> C;
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CUDA_CALLABLE vec<T, N> _p(T s, T t)
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{
//This function returns the point specified by p = A + s(B-A) + t(C-A)
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vec<T, N> E0 = B-A;
vec<T, N> E1 = C-A;
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return A + s*E0 + t*E1;
}
public:
CUDA_CALLABLE triangle()
{
}
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CUDA_CALLABLE triangle(vec<T, N> a, vec<T, N> b, vec<T, N> c)
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{
A = a;
B = b;
C = c;
}
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CUDA_CALLABLE stim::vec<T, N> operator()(T s, T t)
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{
return _p(s, t);
}
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CUDA_CALLABLE vec<T, N> nearest(vec<T, N> p)
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{
//comptue the distance between a point and this triangle
// This code is adapted from: http://www.geometrictools.com/Documentation/DistancePoint3Triangle3.pdf
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vec<T, N> E0 = B-A;
vec<T, N> E1 = C-A;
vec<T, N> D = A - p;
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T a = E0.dot(E0);
T b = E0.dot(E1);
T c = E1.dot(E1);
T d = E0.dot(D);
T e = E1.dot(D);
//T f = D.dot(D);
T det = a*c - b*b;
T s = b*e - c*d;
T t = b*d - a*e;
/*std::cout<<"E0: "<<E0<<std::endl;
std::cout<<"E1: "<<E1<<std::endl;
std::cout<<"a: "<<a<<std::endl;
std::cout<<"b: "<<b<<std::endl;
std::cout<<"c: "<<c<<std::endl;
std::cout<<"d: "<<d<<std::endl;
std::cout<<"e: "<<e<<std::endl;
std::cout<<"f: "<<f<<std::endl;
std::cout<<"det: "<<det<<std::endl;
std::cout<<"s: "<<s<<std::endl;
std::cout<<"t: "<<t<<std::endl;*/
if( s+t <= det)
{
if(s < 0)
{
if(t < 0)
{
//region 4
//std::cout<<"Region 4"<<std::endl;
s = 0;
t = 0;
//done?
}
else
{
//region 3
//std::cout<<"Region 3"<<std::endl;
s=0;
t = ( e >= 0 ? 0 : ( -e >= c ? 1 : -e/c ) );
//done
}
}
else if(t < 0)
{
//region 5
//std::cout<<"Region 5"<<std::endl;
s = ( d >= 0 ? 0 : ( -d >= a ? 1 : -d/a ) );
t = 0;
//done
}
else
{
//region 0
//std::cout<<"Region 0"<<std::endl;
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T invDet = (T)1.0/det;
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s *= invDet;
t *= invDet;
//done
}
}
else
{
if(s < 0)
{
//region 2
//std::cout<<"Region 2"<<std::endl;
s = 0;
t = 1;
//done?
}
else if(t < 0)
{
//region 6
//std::cout<<"Region 6"<<std::endl;
s = 1;
t = 0;
//done?
}
else
{
//region 1
//std::cout<<"Region 1"<<std::endl;
T numer = c + e - b - d;
if( numer <= 0 )
s = 0;
else
{
T denom = a - 2 * b + c;
s = ( numer >= denom ? 1 : numer/denom );
}
t = 1 - s;
//done
}
}
//std::cout<<"s: "<<s<<std::endl;
//std::cout<<"t: "<<t<<std::endl;
//std::cout<<"p: "<<_p(s, t)<<std::endl;
return _p(s, t);
}
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CUDA_CALLABLE T dist(vec<T, N> p)
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{
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vec<T, N> n = nearest(p);
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return (p - n).len();
}
};
}
#endif
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