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/* $Id: cpl_math-test.c,v 1.12 2010/11/11 09:23:18 llundin Exp $
*
* This file is part of the ESO Common Pipeline Library
* Copyright (C) 2001-2008 European Southern Observatory
*
* 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., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
/*
* $Author: llundin $
* $Date: 2010/11/11 09:23:18 $
* $Revision: 1.12 $
* $Name: cpl-6_1_1 $
*/
/*-----------------------------------------------------------------------------
Includes
-----------------------------------------------------------------------------*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <math.h>
#include <float.h>
#include "cpl_math_const.h"
#include "cpl_test.h"
/*-----------------------------------------------------------------------------
Defines
-----------------------------------------------------------------------------*/
/* Required precision in multiples of the machine precision */
#ifndef CPL_MATH_PRECISION
#define CPL_MATH_PRECISION 1.0
#endif
/*-----------------------------------------------------------------------------
Main
-----------------------------------------------------------------------------*/
int main(void)
{
const double prec = CPL_MATH_PRECISION * DBL_EPSILON;
cpl_test_init(PACKAGE_BUGREPORT, CPL_MSG_WARNING);
/* Insert tests below */
/* The constants are of type double */
cpl_test_eq(sizeof(CPL_MATH_PI), sizeof(double));
/* Expressions with just a subtraction must be accurate to 1 unit
of machine precision, expressions also involving division must be
accurate to 2 units of machine precision */
/* pi */
cpl_test_rel(atan2(0.0, -1.0), CPL_MATH_PI, prec);
/* 2 pi */
cpl_test_rel(2.0 * atan2(0.0, -1.0), CPL_MATH_2PI, prec);
/* pi/2 */
cpl_test_rel(atan2(1.0, 0.0), CPL_MATH_PI_2, prec);
/* pi/4 */
cpl_test_rel(atan2(1.0, 1.0), CPL_MATH_PI_4, prec);
/* 1/pi */
cpl_test_rel(1.0/atan2(0.0, -1.0), CPL_MATH_1_PI, 2.0 * prec);
/* 2/pi */
cpl_test_rel(1.0/atan2(1.0, 0.0), CPL_MATH_2_PI, 2.0 * prec);
/* 4/pi */
cpl_test_rel(1.0/atan2(1.0, 1.0), CPL_MATH_4_PI, 2.0 * prec);
/* sqrt(2pi) */
cpl_test_rel(sqrt(2.0 * atan2(0.0, -1.0)), CPL_MATH_SQRT2PI, 2.0 * prec);
/* 2 / sqrt(pi) */
cpl_test_rel(1.0 / sqrt(atan2(1.0, 1.0)), CPL_MATH_2_SQRTPI, 2.0 * prec);
/* sqrt(2) */
cpl_test_rel(sqrt(2.0), CPL_MATH_SQRT2, prec);
/* sqrt(3) */
cpl_test_rel(sqrt(3.0), CPL_MATH_SQRT3, prec);
/* sqrt(1/2) */
cpl_test_rel(sqrt(0.5), CPL_MATH_SQRT1_2, prec);
/* exp(1) */
cpl_test_rel(exp(1.0), CPL_MATH_E, prec);
/* log(2) */
cpl_test_rel(log(2.0), CPL_MATH_LN2, prec);
/* log(10) */
cpl_test_rel(log(10.0), CPL_MATH_LN10, prec);
/* log2(e) */
cpl_test_rel(1.0/log(2.0), CPL_MATH_LOG2E, 2.0 * prec);
/* log10(e) */
cpl_test_rel(log10(exp(1.0)), CPL_MATH_LOG10E, prec);
/* 180/pi */
cpl_test_rel(45.0 / atan2(1.0, 1.0), CPL_MATH_DEG_RAD, 2.0 * prec);
/* pi/180 */
cpl_test_rel(CPL_MATH_RAD_DEG * CPL_MATH_DEG_RAD, 1.0, prec);
/* 2.0*sqrt(2.0*log(2.0)) */
cpl_test_rel(2.0*sqrt(2.0*log(2.0)), CPL_MATH_FWHM_SIG, prec);
/* 0.5/sqrt(2.0*log(2.0)) */
cpl_test_rel(0.5/sqrt(2.0*log(2.0)), CPL_MATH_SIG_FWHM, 2.0 * prec);
return cpl_test_end(0);
}
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