CPoint.h

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//
// CPoint.h -- n-dimensional point class specification
//
// Copyright 2002, softSurfer (www.softsurfer.com)
// This code may be freely used and modified for any purpose
// providing that this copyright notice is included with it.
// SoftSurfer makes no warranty for this code, and cannot be held
// liable for any real or imagined damage resulting from it's use.
// Users of this code must verify correctness for their application.
//
// Extended by Stephen Pope -- see the CSL copyright notice

#ifndef CSL_Point_H
#define CSL_Point_H

#include "CSL_Types.h"      // TRUE/FALSE
#include <stdio.h>          // printf
#include <math.h>           // trig fcns.

namespace csl {

#ifdef CSL_ENUMS
typedef enum {                  // point types
    kCartesian,
    kPolar
} PointMode;
#else
    #define kCartesian 0
    #define kPolar 1
    typedef int PointMode;
#endif

//  CPoint Class Definition

class CPoint {

public:
    unsigned dimn;      // # dimensions (1, 2, or 3)
    double x, y, z;     // z = 0 for 2D, y = z = 0 for 1D

                        // Lots of Constructors
    CPoint() { dimn = 3; x = y = z = 0;  }
    
    // ~~~~~~~~~ 1D ~~~~~~~~~~~~~~
    CPoint(int a) { dimn = 1; x = a; y = z = 0; }
    CPoint(float a) { dimn = 1; x = a; y = z = 0;  }
    CPoint(double a) { dimn = 1; x = a; y = z = 0;  }
    
    // ~~~~~~~~~ 2D (defaults are Cartesian) ~~~~~~~~~~~~~~
    CPoint(int a, int b) { dimn = 2; x = a; y = b; z = 0;  }
    CPoint(float a, float b) { dimn = 2; x = (double)a; y = (double)b; z = 0;  }
    CPoint(double a, double b) { dimn = 2; x = a; y = b; z = 0;  }
    
    // ~~~~~~~~~ 3D ~~~~~~~~~~~~~~
    CPoint(int a, int b, int c) { dimn = 3; x = a; y = b; z = c;  }
    CPoint(float a, float b, float c) { dimn = 3; x = (double)a; y = (double)b; z = (double)c;  }
    CPoint(double a, double b, double c) { dimn = 3; x = a; y = b; z = c;  }
    
    // ~~~~~~~~~ 2-D and 3-D polar ~~~~~~~~~~~~~~
    CPoint(PointMode m, float r, float theta);
    CPoint(char s, double r, double theta) { dimn=2; x=r * cos(theta); y=r * sin(theta); z=0; }
    
    CPoint(PointMode m, float r, float theta, float psi);
    CPoint(char s, double r, double theta, double ele){ dimn=3; x=r*cos(theta)*cos(ele); y=r*sin(theta)*cos(ele); z=r*sin(ele);}
    
                        
//  CPoint(CPoint &other);      // Copy
    ~CPoint() {};               // Destructor

    // ~~~~~~~~~ Accessors ~~~~~~~~~~~~~~
    void set(int a, int b) { dimn = 2; x = a; y = b; z = 0;  }
    void set(int a, int b, int c) { dimn = 3; x = a; y = b; z = c;  }
    void set(float a, float b) { dimn = 2; x = (double)a; y = (double)b; z = 0;  }
    void set(float a, float b, float c) { dimn = 3; x = (double)a; y = (double)b; z = (double)c;  }
    void set(double a, double b) { dimn = 2; x = a; y = b; z = 0;  }
    void set(double a, double b, double c) { dimn = 3; x = a; y = b; z = c;  }
    void set(PointMode m, float a, float b);
    void set(PointMode m, float a, float b, float c);
    void set(char s, double r, double theta) { dimn=2; x=r * cos(theta); y=r * sin(theta); z=0; }
    void set(char s, double r, double theta, double ele){ dimn=3; x=r*cos(theta)*cos(ele); y=r*sin(theta)*cos(ele); z=r*sin(ele);}
    
    unsigned dim() { return dimn; } // get dimension
    unsigned setdim(unsigned);      // set new dimension
    
    //----------------------------------------------------------
    // CVector Unary Operations
    CPoint operator-();                // unary minus
    CPoint operator~();                // unary 2D perp operator
    
    int operator == (CPoint);
                        // Comparison (dimension must match, or not)
    int operator != (CPoint);
                        // Point and Vector Operations (always valid) 
//  CPoint operator - (CPoint);     // Vector difference
//  CPoint  operator + (CPoint);        // +translate
//  CPoint& operator += (CPoint);       // inc translate
//  CPoint& operator -= (CPoint);       // dec translate
    
        //----------------------------------------------------------
    // CVector Arithmetic Operations
    CPoint operator+( CPoint);        // vector add
    CPoint operator-( CPoint);        // vector subtract
    double operator*( CPoint);        // inner dot product
    double operator|( CPoint);        // 2D exterior perp product
    CPoint operator^( CPoint);        // 3D exterior cross product

    CPoint& operator*=( double);      // vector scalar mult
    CPoint& operator/=( double);      // vector scalar div
    CPoint& operator+=( CPoint);      // vector increment
    CPoint& operator-=( CPoint);      // vector decrement
    CPoint& operator^=( CPoint);      // 3D exterior cross product

                        // CPoint Scalar Operations (convenient but often illegal)
                        // Scalar Multiplication
    friend CPoint operator * (int, CPoint);
    friend CPoint operator * (float, CPoint);
    friend CPoint operator * (double, CPoint);
    friend CPoint operator * (CPoint, int);
    friend CPoint operator * (CPoint, float);
    friend CPoint operator * (CPoint, double);
                        // Scalar Division
    friend CPoint operator / (CPoint, int);
    friend CPoint operator / (CPoint, float);
    friend CPoint operator / (CPoint, double);
                        // CPoint Relations
    double distance(CPoint *);      // Distance
    double distance2(CPoint *);     // Distance^2
    double distance(CPoint &);      // Distance
    double distance2(CPoint &);     // Distance^2
//  double isLeft(CPoint, CPoint);      // 2D only
    
    //----------------------------------------------------------
    // CVector Properties
    double len() {                    // vector length
        return sqrt(x*x + y*y + z*z);
    }
    
    double len2() {                   // vector length squared (faster)
        return (x*x + y*y + z*z);
    }   
                        // Polar/Spherical coordinates
    double r() { return len(); };
    double theta();
    double phi();

    double ele();   
                        // 2D Rotation
    void rotateBy(double angle);
                        // Pretty-printing
    void dump() { printf(" CP: %g @ %g @ %g", x, y, z); }
    
    void normalize();                 // convert vector to unit length

};

}

#endif      // SS_Point_H

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