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stim/math/quad.h 3.73 KB
8823488b   Pavel Govyadinov   Added missing files
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  #ifndef RTS_QUAD_H
  #define RTS_QUAD_H
  
  //enable CUDA_CALLABLE macro
  #include <stim/cuda/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, int N = 3>
  struct quad
  {
  	/*
  		B------------------>C
  		^                   ^
  		|                   |
  		Y                   |
  		|                   |
  		|                   |
  		A---------X-------->O
  	*/
  
  	/*T A[N];
  	T B[N];
  	T C[N];*/
  
  	rts::vec<T, N> A;
  	rts::vec<T, N> X;
  	rts::vec<T, N> Y;
  
  
  	CUDA_CALLABLE quad()
  	{
  
  	}
  
  	CUDA_CALLABLE quad(vec<T, N> a, vec<T, N> b, vec<T, N> c)
  	{
  
  		A = a;		
  		Y = b - a;
  		X = c - a - Y;
  
  	}
  
  	/*******************************************************************
  	Constructor - create a quad from a position, normal, and rotation
  	*******************************************************************/
  	CUDA_CALLABLE quad(rts::vec<T, N> c, rts::vec<T, N> normal, T width, T height, T theta)
  	{
  
          //compute the X direction - start along world-space X
          Y = rts::vec<T, N>(0, 1, 0);
          if(Y == normal)
              Y = rts::vec<T, N>(0, 0, 1);
  
          X = Y.cross(normal).norm();
  
          std::cout<<X<<std::endl;
  
          //rotate the X axis by theta radians
          rts::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, N> & rhs)
  	{
  		if(A == rhs.A && X == rhs.X && Y == rhs.Y)
  			return true;
  		else
  			return false;
  	}
  
  	/*******************************************
  	Return the normal for the quad
  	*******************************************/
  	CUDA_CALLABLE rts::vec<T, N> n()
  	{
          return (X.cross(Y)).norm();
  	}
  
  	CUDA_CALLABLE rts::vec<T, N> p(T a, T b)
  	{
  		rts::vec<T, N> 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 rts::vec<T, N> 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, N> operator*(T rhs)
  	{
  		//scales the plane by a scalar value
  
  		//compute the center point
  		rts::vec<T, N> c = A + X*0.5f + Y*0.5f;
  
  		//create the new quadangle
  		quad<T, N> 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, N> 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, N> 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, rts::quad<T, N> R)
  {
      os<<R.str();
      return os;
  }
  
  
  #endif