2137d771
 Pavel Govyadinov
modified plane an...
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#ifndef RTS_RECT_H
#define RTS_RECT_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 rectangle class in ND space
template <class T>
struct rect
{
/*
^ O
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Y C
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O---------X--------->
*/
private:
stim::vec<T> C;
stim::vec<T> X;
stim::vec<T> Y;
CUDA_CALLABLE void scale(T factor){
X *= factor;
Y *= factor;
}
public:
///base constructor.
CUDA_CALLABLE rect(){
init();
}
///create a rectangle given a size and position in Z space.
///@param size: size of the rectangle in ND space.
///@param z_pos z coordinate of the rectangle.
CUDA_CALLABLE rect(T size, T z_pos = (T)0){
init(); //use the default setup
scale(size); //scale the rectangle
C[2] = z_pos;
}
///create a rectangle from a center point, normal
///@param c: x,y,z location of the center.
///@param n: x,y,z direction of the normal.
CUDA_CALLABLE rect(vec<T> c, vec<T> n = vec<T>(0, 0, 1)){
init(); //start with the default setting
C = c;
normal(n); //orient
}
///create a rectangle from a center point, normal, and size
///@param c: x,y,z location of the center.
///@param s: size of the rectangle.
///@param n: x,y,z direction of the normal.
CUDA_CALLABLE rect(vec<T> c, T s, vec<T> n = vec<T>(0, 0, 1)){
init(); //start with the default setting
C = c;
scale(s);
normal(n); //orient
}
///creates a rectangle from a centerpoint and an X and Y direction vectors.
///@param center: x,y,z location of the center.
///@param directionX: u,v,w direction of the X vector.
///@param directionY: u,v,w direction of the Y vector.
CUDA_CALLABLE rect(vec<T> center, vec<T> directionX, vec<T> directionY )
{
C = center;
X = directionX;
Y = directionY;
}
///creates a rectangle from a size, centerpoint, X, and Y direction vectors.
///@param size of the rectangle in ND space.
///@param center: x,y,z location of the center.
///@param directionX: u,v,w direction of the X vector.
///@param directionY: u,v,w direction of the Y vector.
CUDA_CALLABLE rect(T size, vec<T> center, vec<T> directionX, vec<T> directionY )
{
C = center;
X = directionX;
Y = directionY;
scale(size);
}
///creates a rectangle from a size, centerpoint, X, and Y direction vectors.
///@param size of the rectangle in ND space, size[0] = size in X, size[1] = size in Y.
///@param center: x,y,z location of the center.
///@param directionX: u,v,w direction of the X vector.
///@param directionY: u,v,w direction of the Y vector.
CUDA_CALLABLE rect(vec<T> size, vec<T> center, vec<T> directionX, vec<T> directionY )
{
C = center;
X = directionX;
Y = directionY;
scale(size[0], size[1]);
}
///scales a rectangle in ND space.
///@param factor1: size of the scale in the X-direction.
///@param factor2: size of the scale in the Y-direction.
CUDA_CALLABLE void scale(T factor1, T factor2){
X *= factor1;
Y *= factor2;
}
///@param n; vector with the normal.
///Orients the rectangle along the normal n.
CUDA_CALLABLE void normal(vec<T> n){ //orient the rectangle along the specified normal
n = n.norm(); //normalize, just in case
vec<T> n_current = X.cross(Y).norm(); //compute the current normal
quaternion<T> q; //create a quaternion
q.CreateRotation(n_current, n); //initialize a rotation from n_current to n
//apply the quaternion to the vectors and position
X = q.toMatrix3() * X;
Y = q.toMatrix3() * Y;
}
///general init method that sets a general rectangle.
CUDA_CALLABLE void init(){
C = vec<T>(0, 0, 0);
X = vec<T>(1, 0, 0);
Y = vec<T>(0, 1, 0);
}
//boolean comparison
bool operator==(const rect<T> & rhs)
{
if(C == rhs.C && X == rhs.X && Y == rhs.Y)
return true;
else
return false;
}
/*******************************************
Return the normal for the rect
*******************************************/
CUDA_CALLABLE stim::vec<T> n()
{
return (X.cross(Y)).norm();
}
//get the world space value given the planar coordinates a, b in [0, 1]
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
vec<T> A = C - X * (T)0.5 - Y * (T)0.5;
result = A + X * a + Y * b;
return result;
}
//parenthesis operator returns the world space given rectangular coordinates a and b in [0 1]
CUDA_CALLABLE stim::vec<T> operator()(T a, T b)
{
return p(a, b);
}
std::string str()
{
std::stringstream ss;
vec<T> A = C - X * (T)0.5 - Y * (T)0.5;
ss<<std::left<<"B="<<std::setfill('-')<<std::setw(20)<<A + Y<<">"<<"C="<<A + Y + X<<std::endl;
ss<<std::setfill(' ')<<std::setw(23)<<"|"<<"|"<<std::endl<<std::setw(23)<<"|"<<"|"<<std::endl;
ss<<std::left<<"A="<<std::setfill('-')<<std::setw(20)<<A<<">"<<"D="<<A + X;
return ss.str();
}
///multiplication operator scales the rectangle by a value rhs.
CUDA_CALLABLE rect<T> operator*(T rhs)
{
//scales the plane by a scalar value
//create the new rectangle
rect<T> result = *this;
result.scale(rhs);
return result;
}
///computes the distance between the specified point and this rectangle.
///@param p: x, y, z coordinates of the point to calculate distance to.
CUDA_CALLABLE T dist(vec<T> p)
{
//compute the distance between a point and this rect
vec<T> A = C - X * (T)0.5 - Y * (T)0.5;
//first break the rect up into two triangles
triangle<T> T0(A, A+X, A+Y);
triangle<T> 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 center(vec<T> p)
{
C = p;
}
///Returns the maximum distance of the rectangle from a point p to the sides of the rectangle.
///@param p: x, y, z point.
CUDA_CALLABLE T dist_max(vec<T> p)
{
vec<T> A = C - X * (T)0.5 - Y * (T)0.5;
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::rect<T> R)
{
os<<R.str();
return os;
}
#endif
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