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/*
nsmc --- n-sphere Monte Carlo method
Copyright © 2021 Arun I <arunisaac@systemreboot.net>
Copyright © 2021 Murugesan Venkatapathi <murugesh@iisc.ac.in>
This file is part of nsmc.
nsmc 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 3 of the License, or
(at your option) any later version.
nsmc 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 nsmc. If not, see <https://www.gnu.org/licenses/>.
*/
#ifndef UTILS_H
#define UTILS_H
#include <gsl/gsl_roots.h>
#include <gsl/gsl_vector.h>
#define SIGNUM(x) ((x) < 0 ? -1 : 1)
double volume_of_ball (unsigned int dimension);
double ln_volume_of_ball (unsigned int dimension);
double surface_area_of_ball (unsigned int dimension);
double ln_surface_area_of_ball (unsigned int dimension);
double angle_between_vectors (const gsl_vector* x, const gsl_vector* y);
double dot_product (const gsl_vector* x, const gsl_vector* y);
double gaussian_pdf (double x);
double gaussian_cdf (double x);
double rerror (double approx, double exact);
int rtol_p (double approx, double exact, double rtol);
double bisection (gsl_function* f, double a, double b);
double bisection_rlimit (gsl_function* f, double a, double b);
#endif
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