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// Copyright 2006-2007 Nanorex, Inc. See LICENSE file for details.
/*
Name: triple.cpp
Author: Oleksandr Shevchenko
Description: coordinate 3D point management class
*/
#include "triple.h"
//----------------------------------------------------------------------------
// Closest()
//
// closest point on edge
//
double Triple::Closest(
const Triple & vertex0,
const Triple & vertex1,
Triple & p) const
{
Triple edge(vertex0,vertex1);
double t = ((*this-vertex0)%edge)/edge.Len2();
if (t < 0.0)
{
p = vertex0;
t = 0.0;
}
else if (t > 1.0)
{
p = vertex1;
t = 1.0;
}
else
{
p = vertex0 + t*edge;
}
return t;
}
//----------------------------------------------------------------------------
// Greatest()
//
// calculate greatest value
//
int Triple::Greatest(
double & value) const
{
if (X() > Y())
{
if(X() > Z())
{
// x is greatest
value = X();
return (0);
}
else
{
// z is greatest
value = Z();
return (2);
}
}
else
{
if(Y() > Z())
{
// y is greatest
value = Y();
return (1);
}
else
{
// z is greatest
value = Z();
return (2);
}
}
return (2);
}
//----------------------------------------------------------------------------
// Len()
//
// vector length
//
double Triple::Len() const
{
return sqrt(X()*X() + Y()*Y() + Z()*Z());
}
//----------------------------------------------------------------------------
// Len2()
//
// square of vector length
//
double Triple::Len2() const
{
return (X()*X() + Y()*Y() + Z()*Z());
}
//----------------------------------------------------------------------------
// Normalize()
//
// normalize vector to unit length
//
Triple & Triple::Normalize()
{
double length= Len();
*this /= length;
return *this;
}
//----------------------------------------------------------------------------
// Normalize()
//
// normalizes vector to unit length
//
Triple & Triple::Normalize(
double &length)
{
length = Len();
*this /= length;
return *this;
}
//----------------------------------------------------------------------------
// Orthogonal()
//
// get orthogonal axes
//
void Triple::Orthogonal(
Triple & ox,
Triple & oy) const
{
double ix = 0.0, iy = 0.0;
if( fabs(X())>fabs(Z()) && fabs(X()) > fabs(Y()) )
iy = 1.0;
else
ix = 1.0;
oy = Triple(iy*Z(), -ix*Z(), ix*Y()-iy*X());
oy.Normalize();
ox = oy * (*this);
ox.Normalize();
}
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