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//==============================================================================================*/
// vector.h Font3D */
//----------------------------------------------------------------------------------------------*/
// */
// Copyright (c) 1994-1996 by Todd A. Prater Version 1.60 */
// All rights reserved. */
// */
//----------------------------------------------------------------------------------------------
//
// Permission to copy and distribute Font3D in its entirety, for noncommercial purposes,
// is hereby granted without fee, provided that this license information and copyright
// notice appear in all copies.
//
// If you redistribute Font3D, the entire contents of this distribution must be distributed,
// including the readme.txt, and register.txt files, and the complete set of documentation,
// both ASCII text, and PostScript files.
//
// The software may be modified for your own purposes, but modified versions may not be
// distributed without prior consent of the author.
//
// This software is provided 'asis', without any express or implied warranty. In no event
// will the author be held liable for any damages arising from the use of this software.
//
// If you would like to do something with Font3D that this copyright prohibits (such as
// distributing it with a commercial product, using portions of the source in some other
// program, distributing registered copies, etc.), please contact the author (preferably
// via email). Arrangements can probably be worked out.
//
//----------------------------------------------------------------------------------------------*/
// */
// A vector class. */
// */
// Constructors: */
// */
// vector(void) */
// vector(double,double,double) */
// vector(vector&) */
// */
// Member Operators: */
// */
// += Assign Sum */
// -= Assign Difference */
// *= Assign Product */
// /= Assign Quotient */
// */
// Non-Member Operators: */
// */
// + Sum Binary (vector + vector) -> vector */
// - Difference Binary (vector - vector) -> vector */
// * Scale Binary (vector * double) -> vector */
// * Scale Binary (double * vector) -> vector */
// / Scale Binary (vector / double) -> vector */
// % Dot Product Binary (vector % vector) -> double */
// ^ Cross Product Binary (vector ^ vector) -> vector */
// ~ Normalize Unary (~vector) -> vector */
// - Negative Unary (-vector) -> vector */
// */
// == Equal to Binary (vector == vector) -> INT */
// != Not equal to Binary (vector !- vector) -> INT */
// */
// >> Insertion Binary (ostream& >> vector&) -> ostream& */
// */
// Non-Member Functions: */
// */
// dist(vector x, vector y) ...... Returns the distance between x and y. */
// midpoint(vector x, vector y) .. Returns the midpoint between x and y. */
// length(vector x) .............. Returns the length of x. */
// */
// */
//==============================================================================================*/
#ifndef __VECTOR_H__
#define __VECTOR_H__
#include <math.h>
#include <iostream.h>
class vector
{
public: double x,y,z;
vector ();
vector (double _x, double _y, double _z);
vector (const vector& v);
vector& operator += (vector v);
vector& operator -= (vector v);
vector& operator *= (double f);
vector& operator /= (double f);
};
/*_____ CONSTRUCTORS _____*/
inline vector::vector(void)
{
x=0;y=0;z=0;
}
inline vector::vector(double _x, double _y, double _z)
{
x=_x;y=_y;z=_z;
}
inline vector::vector(const vector& v)
{
x=v.x;y=v.y;z=v.z;
}
/*_____ NON-MEMBER FUNCTIONS _____*/
inline vector operator + (vector v1, vector v2)
{
return vector(v1.x+v2.x,v1.y+v2.y,v1.z+v2.z);
}
inline vector operator - (vector v1, vector v2)
{
return vector(v1.x-v2.x,v1.y-v2.y,v1.z-v2.z);
}
inline vector operator * (vector v, double f)
{
return vector(v.x*f,v.y*f,v.z*f);
}
inline vector operator * (double f, vector v)
{
return vector(v.x*f,v.y*f,v.z*f);
}
inline vector operator / (vector v, double f)
{
return vector(v.x/f,v.y/f,v.z/f);
}
inline double operator % (vector v1, vector v2)
{
return (v1.x*v2.x+v1.y*v2.y+v1.z*v2.z);
}
inline vector operator ^ (vector v1, vector v2)
{
double tx = v1.y*v2.z - v1.z*v2.y;
double ty = v1.z*v2.x - v1.x*v2.z;
double tz = v1.x*v2.y - v1.y*v2.x;
return vector(tx,ty,tz);
}
inline vector operator ~ (vector v)
{
double mag = sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
double tx = v.x/mag;
double ty = v.y/mag;
double tz = v.z/mag;
return vector(tx,ty,tz);
}
inline vector operator - (vector v)
{
return vector(-v.x,-v.y,-v.z);
}
inline int operator == (vector v1, vector v2)
{
return (v1.x==v2.x&&v1.y==v2.y&&v1.z==v2.z);
}
inline int operator != (vector v1, vector v2)
{
return (v1.x!=v2.x&&v1.y!=v2.y&&v1.z!=v2.z);
}
inline double dist (vector v1, vector v2)
{
vector d = v2-v1;
return (sqrt(d%d));
}
inline vector midpoint (vector v1, vector v2)
{
return ((v1+v2)/2);
}
inline double length (vector v)
{
return (sqrt(v.x*v.x+v.y*v.y+v.z*v.z));
}
/*_____ MEMBER SHORTHAND OPERATORS _____*/
inline vector& vector::operator += (vector v)
{
x+=v.x; y+=v.y; z+=v.z;
return *this;
}
inline vector& vector::operator -= (vector v)
{
x-=v.x; y-=v.y; z-=v.z;
return *this;
}
inline vector& vector::operator *= (double f)
{
x*=f; y*=f; z*=f;
return *this;
}
inline vector& vector::operator /= (double f)
{
x/=f; y/=f; z/=f;
return *this;
}
inline ostream& operator << (ostream& s, vector v)
{
s<<"<"<<v.x<<","<<v.y<<","<<v.z<<">";
return s;
}
#endif
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