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/*
* sphere.cc -- ePiX::Sphere class and mathematical operators
*
* This file is part of ePiX, a C++ library for creating high-quality
* figures in LaTeX
*
* Version 1.1.9
* Last Change: July 30, 2007
*/
/*
* Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
* Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
* Department of Mathematics and Computer Science
* College of the Holy Cross
* Worcester, MA, 01610-2395, USA
*/
/*
* ePiX is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* ePiX is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
* License for more details.
*
* You should have received a copy of the GNU General Public License
* along with ePiX; if not, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include <cmath>
#include "errors.h"
#include "triples.h"
#include "functions.h"
#include "camera.h"
#include "circle.h"
#include "sphere.h"
namespace ePiX {
Sphere::Sphere(const P& ctr, double rad)
: m_ctr(ctr), m_rad(rad), m_malformed(false) { }
Sphere::Sphere(const P& ctr, const P& pt)
: m_ctr(ctr), m_rad(norm(pt-ctr)), m_malformed(false) { }
P Sphere::center() const
{
return m_ctr;
}
double Sphere::radius() const
{
return m_rad;
}
bool Sphere::malformed() const
{
return m_malformed;
}
// translation
Sphere& Sphere::shift(const P& arg)
{
if (!m_malformed)
m_ctr += arg;
return *this;
}
Sphere& Sphere::move_to(const P& arg)
{
if (!m_malformed)
m_ctr = arg;
return *this;
}
Sphere& Sphere::scale(double& arg)
{
if (!m_malformed)
m_rad *= arg;
return *this;
}
void Sphere::draw() const
{
if (m_malformed)
return;
// else
P location(cam().viewpt());
P dir(m_ctr - location);
double dist(norm(dir));
if (dist <= m_rad)
epix_warning("Cannot draw sphere enclosing camera");
else
{
dir *= 1/dist;
double x(m_rad*m_rad/dist);
Circle temp(m_ctr - x*dir, sqrt((m_rad-x)*(m_rad+x)), dir);
temp.draw();
}
} // end of Sphere::photo()
//// global functions ////
void sphere(const P& ctr, double rad)
{
Sphere S(ctr, rad);
S.draw();
}
void sphere(const P& ctr, const P& pt)
{
Sphere S(ctr, pt);
S.draw();
}
} // end of namespace
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