quad.h
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#ifndef STIM_QUAD_H
#define STIM_QUAD_H
//enable CUDA_CALLABLE macro
#include <stim/cuda/cudatools/callable.h>
#include <stim/math/vector.h>
#include <stim/math/triangle.h>
#include <stim/math/quaternion.h>
#include <iostream>
#include <iomanip>
#include <algorithm>
namespace stim{
//template for a quadangle class in ND space
template <class T>
struct quad
{
/*
B------------------>C
^ ^
| |
Y |
| |
| |
A---------X-------->O
*/
/*T A[N];
T B[N];
T C[N];*/
stim::vec<T> A;
stim::vec<T> X;
stim::vec<T> Y;
CUDA_CALLABLE quad()
{
}
CUDA_CALLABLE quad(vec<T> a, vec<T> b, vec<T> c)
{
A = a;
Y = b - a;
X = c - a - Y;
}
/*******************************************************************
Constructor - create a quad from a position, normal, and rotation
*******************************************************************/
CUDA_CALLABLE quad(stim::vec<T> c, stim::vec<T> normal, T width, T height, T theta)
{
//compute the X direction - start along world-space X
Y = stim::vec<T>(0, 1, 0);
if(Y == normal)
Y = stim::vec<T>(0, 0, 1);
X = Y.cross(normal).norm();
std::cout<<X<<std::endl;
//rotate the X axis by theta radians
stim::quaternion<T> q;
q.CreateRotation(theta, normal);
X = q.toMatrix3() * X;
Y = normal.cross(X);
//normalize everything
X = X.norm();
Y = Y.norm();
//scale to match the quad width and height
X = X * width;
Y = Y * height;
//set the corner of the plane
A = c - X * 0.5f - Y * 0.5f;
std::cout<<X<<std::endl;
}
//boolean comparison
bool operator==(const quad<T> & rhs)
{
if(A == rhs.A && X == rhs.X && Y == rhs.Y)
return true;
else
return false;
}
/*******************************************
Return the normal for the quad
*******************************************/
CUDA_CALLABLE stim::vec<T> n()
{
return (X.cross(Y)).norm();
}
CUDA_CALLABLE stim::vec<T> p(T a, T b)
{
stim::vec<T> result;
//given the two parameters a, b = [0 1], returns the position in world space
result = A + X * a + Y * b;
return result;
}
CUDA_CALLABLE stim::vec<T> operator()(T a, T b)
{
return p(a, b);
}
std::string str()
{
std::stringstream ss;
ss<<std::left<<"B="<<setfill('-')<<setw(20)<<A + Y<<">"<<"C="<<A + Y + X<<std::endl;
ss<<setfill(' ')<<setw(23)<<"|"<<"|"<<std::endl<<setw(23)<<"|"<<"|"<<std::endl;
ss<<std::left<<"A="<<setfill('-')<<setw(20)<<A<<">"<<"D="<<A + X;
return ss.str();
}
CUDA_CALLABLE quad<T> operator*(T rhs)
{
//scales the plane by a scalar value
//compute the center point
stim::vec<T> c = A + X*0.5f + Y*0.5f;
//create the new quadangle
quad<T> result;
result.X = X * rhs;
result.Y = Y * rhs;
result.A = c - result.X*0.5f - result.Y*0.5f;
return result;
}
CUDA_CALLABLE T dist(vec<T> p)
{
//compute the distance between a point and this quad
//first break the quad up into two triangles
triangle<T, N> T0(A, A+X, A+Y);
triangle<T, N> T1(A+X+Y, A+X, A+Y);
T d0 = T0.dist(p);
T d1 = T1.dist(p);
if(d0 < d1)
return d0;
else
return d1;
}
CUDA_CALLABLE T dist_max(vec<T> p)
{
T da = (A - p).len();
T db = (A+X - p).len();
T dc = (A+Y - p).len();
T dd = (A+X+Y - p).len();
return std::max( da, std::max(db, std::max(dc, dd) ) );
}
};
} //end namespace rts
template <typename T, int N>
std::ostream& operator<<(std::ostream& os, stim::quad<T> R)
{
os<<R.str();
return os;
}
#endif