/*
 *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 * 
 *<LicenseText>
 *
 * CitcomS by Louis Moresi, Shijie Zhong, Lijie Han, Eh Tan,
 * Clint Conrad, Michael Gurnis, and Eun-seo Choi.
 * Copyright (C) 1994-2005, California Institute of Technology.
 *
 * This program 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.
 *
 * This program 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 this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 *</LicenseText>
 * 
 *~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 */

#if !defined(CitcomS_sphere_util_h)
#define CitcomS_sphere_util_h

struct All_variables;

void even_divide_arc12(int elx, double x1, double y1, double z1, double x2, double y2, double z2, double *theta, double *fi);
void compute_angle_surf_area(struct All_variables *E);
double area_sphere_cap(double angle[6]);
double area_of_sphere_triag(double a, double b, double c);
double area_of_5points(struct All_variables *E, int lev, int m, int el, double x[4], int ne);
void get_angle_sphere_cap(double xx[4][5], double angle[6]);
double get_angle(double x[4], double xx[4]);

#endif