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/*****
* triple.h
* John Bowman
*
* Stores a three-dimensional point.
*
*****/
#ifndef TRIPLE_H
#define TRIPLE_H
#include <cassert>
#include <iostream>
#include <cmath>
#include "common.h"
#include "angle.h"
namespace camp {
typedef double Triple[3];
class triple : virtual public gc {
double x;
double y;
double z;
public:
triple() : x(0.0), y(0.0), z(0.0) {}
triple(double x, double y=0.0, double z=0.0) : x(x), y(y), z(z) {}
triple(const Triple& v) : x(v[0]), y(v[1]), z(v[2]) {}
virtual ~triple() {}
double getx() const { return x; }
double gety() const { return y; }
double getz() const { return z; }
friend triple operator+ (const triple& z, const triple& w)
{
return triple(z.x + w.x, z.y + w.y, z.z + w.z);
}
friend triple operator- (const triple& z, const triple& w)
{
return triple(z.x - w.x, z.y - w.y, z.z - w.z);
}
friend triple operator- (const triple& z)
{
return triple(-z.x, -z.y, -z.z);
}
friend triple operator* (double s, const triple& z)
{
return triple(s*z.x, s*z.y, s*z.z);
}
friend triple operator* (const triple& z, double s)
{
return triple(z.x*s, z.y*s, z.z*s);
}
friend triple operator/ (const triple& z, double s)
{
if (s == 0.0)
reportError("division by 0");
s=1.0/s;
return triple(z.x*s, z.y*s, z.z*s);
}
const triple& operator+= (const triple& w)
{
x += w.x;
y += w.y;
z += w.z;
return *this;
}
const triple& operator-= (const triple& w)
{
x -= w.x;
y -= w.y;
z -= w.z;
return *this;
}
friend bool operator== (const triple& z, const triple& w)
{
return z.x == w.x && z.y == w.y && z.z == w.z;
}
friend bool operator!= (const triple& z, const triple& w)
{
return z.x != w.x || z.y != w.y || z.z != w.z;
}
double abs2() const
{
return x*x+y*y+z*z;
}
double length() const /* r */
{
return sqrt(abs2());
}
friend double length(const triple& v)
{
return v.length();
}
double polar() const /* theta */
{
double r=length();
if (r == 0.0)
reportError("taking polar angle of (0,0,0)");
return acos(z/r);
}
double azimuth() const /* phi */
{
return angle(x,y);
}
friend triple unit(const triple& v)
{
double scale=v.length();
if(scale != 0.0) scale=1.0/scale;
return triple(v.x*scale,v.y*scale,v.z*scale);
}
friend double dot(const triple& u, const triple& v)
{
return u.x*v.x+u.y*v.y+u.z*v.z;
}
friend triple cross(const triple& u, const triple& v)
{
return triple(u.y*v.z-u.z*v.y,
u.z*v.x-u.x*v.z,
u.x*v.y-v.x*u.y);
}
// Returns a unit triple in the direction (theta,phi), in radians.
friend triple expi(double theta, double phi)
{
double sintheta=sin(theta);
return triple(sintheta*cos(phi),sintheta*sin(phi),cos(theta));
}
friend istream& operator >> (istream& s, triple& z)
{
char c;
s >> std::ws;
bool paren=s.peek() == '('; // parenthesis are optional
if(paren) s >> c;
s >> z.x >> std::ws;
if(s.peek() == ',') s >> c >> z.y;
else z.y=0.0;
if(s.peek() == ',') s >> c >> z.z;
else z.z=0.0;
if(paren) {
s >> std::ws;
if(s.peek() == ')') s >> c;
}
return s;
}
friend ostream& operator << (ostream& out, const triple& z)
{
out << "(" << z.x << "," << z.y << "," << z.z << ")";
return out;
}
};
triple expi(double theta, double phi);
// Return the component of vector v perpendicular to a unit vector u.
inline triple perp(triple v, triple u)
{
return v-dot(v,u)*u;
}
} //namespace camp
GC_DECLARE_PTRFREE(camp::triple);
#endif
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