point3.h

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/**********************************************************************
 *<
   FILE: point3.h

   DESCRIPTION: Class definitions for Point3

   CREATED BY: Dan Silva

   HISTORY:

 *>   Copyright (c) 1994, All Rights Reserved.
 **********************************************************************/

#pragma once

#include "GeomExport.h"
#include "maxheap.h"
#include "gfloat.h"
#include "assert1.h"
#include <math.h>

class GEOMEXPORT Point3: public MaxHeapOperators {
public:
   float x,y,z;

   // Constructors
   Point3() { /* NO INIT */ }
   Point3(float X, float Y, float Z)  { 
         x = X; y = Y; z = Z; 
     }
   Point3(double X, double Y, double Z) { 
         x = (float)X; y = (float)Y; z = (float)Z; 
     }
   Point3(int X, int Y, int Z) { 
         x = (float)X; y = (float)Y; z = (float)Z; 
     }
   Point3(const Point3& a) { 
         x = a.x; y = a.y; z = a.z; 
     } 
   Point3(float af[3]) { 
         x = af[0]; y = af[1]; z = af[2]; 
     }

    // Data members
    static const Point3 Origin;
    static const Point3 XAxis;
    static const Point3 YAxis;
    static const Point3 ZAxis;

   float& operator[](int i) { 
         return (&x)[i];
     }     
   const float& operator[](int i) const { 
         return (&x)[i]; 
     }  

   // Conversion function
   operator float*() { 
         return(&x); 
     }

   // Unary operators
   Point3 operator-() const { 
         return(Point3(-x,-y,-z)); 
     } 
   Point3 operator+() const { 
         return *this; 
     }
    
    // Property functions
    float Length() const;
    float FLength() const;
    float LengthSquared() const;
    int MaxComponent() const;
    int MinComponent() const;
    Point3 Normalize() const;     // more accurate than FNormalize()
    Point3 FNormalize() const;    // faster than Normalize()

   // Assignment operators
   inline Point3& operator-=(const Point3&);
   inline Point3& operator+=(const Point3&);
   inline Point3& operator*=(float); 
   inline Point3& operator/=(float);
   inline Point3& operator*=(const Point3&); // element-by-element multiply.

    inline Point3& Set(float X, float Y, float Z);

   // Test for equality
   int operator==(const Point3& p) const { 
         return ((p.x==x)&&(p.y==y)&&(p.z==z)); 
     }
   int operator!=(const Point3& p) const { 
         return ((p.x!=x)||(p.y!=y)||(p.z!=z)); 
     }
    int Equals(const Point3& p, float epsilon = 1E-6f) const;

    // In-place normalize
    Point3& Unify();
    float LengthUnify();              // returns old Length

   // Binary operators
   inline  Point3 operator-(const Point3&) const;
   inline  Point3 operator+(const Point3&) const;
   inline  Point3 operator/(const Point3&) const;
   inline  Point3 operator*(const Point3&) const;   

   Point3 operator^(const Point3&) const; // CROSS PRODUCT
   inline float operator%(const Point3&) const;     // DOT PRODUCT
   };

GEOMEXPORT float Length(const Point3&); 
GEOMEXPORT float FLength(const Point3&); 
GEOMEXPORT float LengthSquared(const Point3&); 
GEOMEXPORT int MaxComponent(const Point3&);  // the component with the maximum abs value
GEOMEXPORT int MinComponent(const Point3&);  // the component with the minimum abs value
GEOMEXPORT Point3 Normalize(const Point3&);  // Accurate normalize
GEOMEXPORT Point3 FNormalize(const Point3&); // Fast normalize 
GEOMEXPORT Point3 CrossProd(const Point3& a, const Point3& b);  // CROSS PRODUCT

// RB: moved this here from object.h
class Ray: public MaxHeapOperators {
   public:
      Point3 p;   // point of origin
      Point3 dir; // unit vector
   };

 
// Inlines:

inline float Point3::Length() const {  
   return (float)sqrt(x*x+y*y+z*z);
   }

inline float Point3::FLength() const { 
   return Sqrt(x*x+y*y+z*z);
   }

inline float Point3::LengthSquared() const { 
   return (x*x+y*y+z*z);
   }

inline float Length(const Point3& v) { 
   return v.Length();
   }

inline float FLength(const Point3& v) {   
   return v.FLength();
   }

inline float LengthSquared(const Point3& v) {   
   return v.LengthSquared();
   }

inline Point3& Point3::operator-=(const Point3& a) {  
   x -= a.x;   y -= a.y;   z -= a.z;
   return *this;
   }

inline Point3& Point3::operator+=(const Point3& a) {
   x += a.x;   y += a.y;   z += a.z;
   return *this;
   }

inline Point3& Point3::operator*=(float f) {
   x *= f;   y *= f; z *= f;
   return *this;
   }

inline Point3& Point3::operator/=(float f) { 
   x /= f;  y /= f;  z /= f;  
   return *this; 
   }

inline Point3& Point3::operator*=(const Point3& a) { 
   x *= a.x;   y *= a.y;   z *= a.z;   
   return *this; 
   }

inline Point3& Point3::Set(float X, float Y, float Z) {
    x = X;
    y = Y;
    z = Z;
    return *this;
    }

inline Point3 Point3::operator-(const Point3& b) const {
   return(Point3(x-b.x,y-b.y,z-b.z));
   }

inline Point3 Point3::operator+(const Point3& b) const {
   return(Point3(x+b.x,y+b.y,z+b.z));
   }

inline Point3 Point3::operator/(const Point3& b) const {
   assert(b.x != 0.0f && b.y != 0.0f && b.z != 0.0f);
   return Point3(x/b.x,y/b.y,z/b.z);
   }

inline Point3 Point3::operator*(const Point3& b) const {  
   return Point3(x*b.x, y*b.y, z*b.z); 
   }

inline float Point3::operator%(const Point3& b) const {
   return (x*b.x + y*b.y + z*b.z);
   }

inline Point3 operator*(float f, const Point3& a) {
   return(Point3(a.x*f, a.y*f, a.z*f));
   }

inline Point3 operator*(const Point3& a, float f) {
   return(Point3(a.x*f, a.y*f, a.z*f));
   }

inline Point3 operator/(const Point3& a, float f) {
   DbgAssert(f != 0.0f);
   return(Point3(a.x/f, a.y/f, a.z/f));
   }

inline Point3 operator+(const Point3& a, float f) {
   return(Point3(a.x+f, a.y+f, a.z+f));
   }

inline float DotProd(const Point3& a, const Point3& b) { 
   return(a.x*b.x+a.y*b.y+a.z*b.z); 
   }


// These typedefs must be the same as each other, since
// vertex colors are contained in a MeshMap.
typedef Point3 UVVert;
typedef Point3 VertColor;