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//==================================================================
// 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.
//==================================================================
#include "point.h"
#include "vector.h"
//==================================================================
// Vector Class Methods
//==================================================================
//------------------------------------------------------------------
// Unary Ops
//------------------------------------------------------------------
// Unary minus
Vector Vector::operator-() {
Vector v;
v.x = -x; v.y = -y; v.z = -z;
v.dimn = dimn;
return v;
}
// Unary 2D perp operator
Vector Vector::operator~() {
if (dimn != 2) err = Edim; // and continue anyway
Vector v;
v.x = -y; v.y = x; v.z = z;
v.dimn = dimn;
return v;
}
//------------------------------------------------------------------
// Scalar Ops
//------------------------------------------------------------------
// Scalar multiplication
Vector operator*( int c, Vector w ) {
Vector v;
v.x = c * w.x;
v.y = c * w.y;
v.z = c * w.z;
v.dimn = w.dim();
return v;
}
Vector operator*( double c, Vector w ) {
Vector v;
v.x = c * w.x;
v.y = c * w.y;
v.z = c * w.z;
v.dimn = w.dim();
return v;
}
Vector operator*( Vector w, int c ) {
Vector v;
v.x = c * w.x;
v.y = c * w.y;
v.z = c * w.z;
v.dimn = w.dim();
return v;
}
Vector operator*( Vector w, double c ) {
Vector v;
v.x = c * w.x;
v.y = c * w.y;
v.z = c * w.z;
v.dimn = w.dim();
return v;
}
// Scalar division
Vector operator/( Vector w, int c ) {
Vector v;
v.x = w.x / c;
v.y = w.y / c;
v.z = w.z / c;
v.dimn = w.dim();
return v;
}
Vector operator/( Vector w, double c ) {
Vector v;
v.x = w.x / c;
v.y = w.y / c;
v.z = w.z / c;
v.dimn = w.dim();
return v;
}
//------------------------------------------------------------------
// Arithmetic Ops
//------------------------------------------------------------------
Vector Vector::operator+( Vector w ) {
Vector v;
v.x = x + w.x;
v.y = y + w.y;
v.z = z + w.z;
v.dimn = max( dimn, w.dim());
return v;
}
Vector Vector::operator-( Vector w ) {
Vector v;
v.x = x - w.x;
v.y = y - w.y;
v.z = z - w.z;
v.dimn = max( dimn, w.dim());
return v;
}
//------------------------------------------------------------------
// Products
//------------------------------------------------------------------
// Inner Dot Product
double Vector::operator*( Vector w ) {
return (x * w.x + y * w.y + z * w.z);
}
// 2D Exterior Perp Product
double Vector::operator|( Vector w ) {
if (dimn != 2) err = Edim; // and continue anyway
return (x * w.y - y * w.x);
}
// 3D Exterior Cross Product
Vector Vector::operator^( Vector w ) {
Vector v;
v.x = y * w.z - z * w.y;
v.y = z * w.x - x * w.z;
v.z = x * w.y - y * w.x;
v.dimn = 3;
return v;
}
//------------------------------------------------------------------
// Shorthand Ops
//------------------------------------------------------------------
Vector& Vector::operator*=( double c ) { // vector scalar mult
x *= c;
y *= c;
z *= c;
return *this;
}
Vector& Vector::operator/=( double c ) { // vector scalar div
x /= c;
y /= c;
z /= c;
return *this;
}
Vector& Vector::operator+=( Vector w ) { // vector increment
x += w.x;
y += w.y;
z += w.z;
dimn = max(dimn, w.dim());
return *this;
}
Vector& Vector::operator-=( Vector w ) { // vector decrement
x -= w.x;
y -= w.y;
z -= w.z;
dimn = max(dimn, w.dim());
return *this;
}
Vector& Vector::operator^=( Vector w ) { // 3D exterior cross product
double ox=x, oy=y, oz=z;
x = oy * w.z - oz * w.y;
y = oz * w.x - ox * w.z;
z = ox * w.y - oy * w.x;
dimn = 3;
return *this;
}
//------------------------------------------------------------------
// Special Operations
//------------------------------------------------------------------
void Vector::normalize() { // convert to unit length
double ln = sqrt( x*x + y*y + z*z );
if (ln == 0) return; // do nothing for nothing
x /= ln;
y /= ln;
z /= ln;
}
Vector sum( int n, int c[], Vector w[] ) { // vector sum
int maxd = 0;
Vector v;
for (int i=0; i<n; i++) {
if (w[i].dim() > maxd)
maxd = w[i].dim();
}
v.dimn = maxd;
for (int i=0; i<n; i++) {
v.x += c[i] * w[i].x;
v.y += c[i] * w[i].y;
v.z += c[i] * w[i].z;
}
return v;
}
Vector sum( int n, double c[], Vector w[] ) { // vector sum
int maxd = 0;
Vector v;
for (int i=0; i<n; i++) {
if (w[i].dim() > maxd)
maxd = w[i].dim();
}
v.dimn = maxd;
for (int i=0; i<n; i++) {
v.x += c[i] * w[i].x;
v.y += c[i] * w[i].y;
v.z += c[i] * w[i].z;
}
return v;
}
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