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/*
* geometry.h
*
* This file is part of ePiX, a preprocessor for creating high-quality
* line figures in LaTeX
*
* Version 1.1.6
* Last Change: June 28, 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.,
* 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#ifndef EPIX_GEOMETRY
#define EPIX_GEOMETRY
#include "frame.h"
#include "sphere.h"
namespace ePiX {
class P;
// latitude, longitude lines with hiding
void latitude(double lat, double long_min, double long_max,
const Sphere& S=Sphere(), const frame& coords=frame());
void longitude(double lngtd, double lat_min, double lat_max,
const Sphere& S=Sphere(), const frame& coords=frame());
void back_latitude(double lat, double long_min, double long_max,
const Sphere& S=Sphere(), const frame& coords=frame());
void back_longitude(double lngtd, double lat_min, double lat_max,
const Sphere& S=Sphere(), const frame& coords=frame());
// stereographic projection; path first projected vertically
void frontplot_N(double f1(double), double f2(double),
double t_min, double t_max, int num_pts,
const Sphere& S = Sphere());
void backplot_N(double f1(double), double f2(double),
double t_min, double t_max, int num_pts,
const Sphere& S = Sphere());
void frontplot_S(double f1(double), double f2(double),
double t_min, double t_max, int num_pts,
const Sphere& S = Sphere());
void backplot_S(double f1(double), double f2(double),
double t_min, double t_max, int num_pts,
const Sphere& S = Sphere());
// Radial projection from center
void frontplot_R(P phi(double), double t_min, double t_max,
int num_pts, const Sphere& S = Sphere());
void backplot_R(P phi(double), double t_min, double t_max,
int num_pts, const Sphere& S = Sphere());
// All sphere line functions treat point arguments as unscaled
// displacements from the center of the sphere, not as absolute
// spatial locations. If the center or radius of the sphere
// changes, the line automatically adjusts as expected.
// front portion of spherical segment joining p1 to p2
void front_arc(const P& p1, const P& p2, const Sphere& S = Sphere());
void back_arc(const P& p1, const P& p2, const Sphere& S = Sphere());
// half-line joining p1 to -p1 through p2
void front_arc2(const P&, const P&, const Sphere& S=Sphere());
void back_arc2(const P&, const P&, const Sphere& S=Sphere());
// great circle through p1 and p2
void front_line(const P&, const P&, const Sphere& S=Sphere());
void back_line(const P&, const P&, const Sphere& S=Sphere());
void front_triangle(const P&, const P&, const P&, const Sphere& S=Sphere());
void back_triangle(const P&, const P&, const P&, const Sphere& S=Sphere());
// spherical polyhedra
void front_tetra(const Sphere& S=Sphere(), const frame& coords=frame());
void back_tetra(const Sphere& S=Sphere(), const frame& coords=frame());
void front_cube(const Sphere& S=Sphere(), const frame& coords=frame());
void back_cube(const Sphere& S=Sphere(), const frame& coords=frame());
void front_octa(const Sphere& S=Sphere(), const frame& coords=frame());
void back_octa(const Sphere& S=Sphere(), const frame& coords=frame());
void front_dodeca(const Sphere& S=Sphere(), const frame& coords=frame());
void back_dodeca(const Sphere& S=Sphere(), const frame& coords=frame());
void front_icosa(const Sphere& S=Sphere(), const frame& coords=frame());
void back_icosa(const Sphere& S=Sphere(), const frame& coords=frame());
// Hyperbolic lines
void hyperbolic_line (const P&, const P&);
void disk_line (const P&, const P&);
} // end of namespace
#endif /* EPIX_GEOMETRY */
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