/* specfunc/test_airy.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* 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 3 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 Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/* Author: G. Jungman */
#include <config.h>
#include <gsl/gsl_test.h>
#include <gsl/gsl_sf.h>
#include "test_sf.h"
int test_airy(void)
{
int s = 0;
int m = GSL_MODE_DEFAULT;
gsl_sf_result r;
/** functions */
TEST_SF(s, gsl_sf_airy_Ai_e, (-500.0, m, &r), 0.0725901201040411396, TEST_TOL4, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (-5.0, m, &r), 0.3507610090241142, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (-0.3000000000000094, m, &r), 0.4309030952855831, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (0.6999999999999907, m, &r), 0.1891624003981519, TEST_TOL0, GSL_SUCCESS);
/* This original value seemed to be slightly inaccurate in the last place.
I recomputed it with pari to get the new value which end in 885
instead of 882 */
/*
TEST_SF(s, gsl_sf_airy_Ai_e, (1.649999999999991, m, &r), 0.05831058618720882, TEST_TOL0, GSL_SUCCESS);
*/
TEST_SF(s, gsl_sf_airy_Ai_e, (1.649999999999991, m, &r), 0.0583105861872088521, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (2.54999999999999, m, &r), 0.01446149513295428, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (3.499999999999987, m, &r), 0.002584098786989702, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_e, (5.39999999999998, m, &r), 4.272986169411866e-05, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (-5.0, m, &r), 0.3507610090241142, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (0.6999999999999907, m, &r), 0.2795125667681217, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (1.649999999999991, m, &r), 0.2395493001442741, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (2.54999999999999, m, &r), 0.2183658595899388, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (3.499999999999987, m, &r), 0.2032920808163519, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_scaled_e, (5.39999999999998, m, &r), 0.1836050093282229, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (-500.0, m, &r), -0.094688570132991028, TEST_TOL4, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (-5.0, m, &r), -0.1383691349016005, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (0.6999999999999907, m, &r), 0.9733286558781599, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (1.649999999999991, m, &r), 2.196407956850028, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (2.54999999999999, m, &r), 6.973628612493443, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (3.499999999999987, m, &r), 33.05550675461069, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_e, (5.39999999999998, m, &r), 1604.476078241272, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (-5.0, m, &r), -0.1383691349016005, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (0.6999999999999907, m, &r), 0.6587080754582302, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (1.649999999999991, m, &r), 0.5346449995597539, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (2.54999999999999, m, &r), 0.461835455542297, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (3.499999999999987, m, &r), 0.4201771882353061, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_scaled_e, (5.39999999999998, m, &r), 0.3734050675720473, TEST_TOL0, GSL_SUCCESS);
/** derivatives */
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (-5.0, m, &r), 0.3271928185544435, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (-0.5500000000000094, m, &r), -0.1914604987143629, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (0.4999999999999906, m, &r), -0.2249105326646850, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (1.899999999999992, m, &r), -0.06043678178575718, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (3.249999999999988, m, &r), -0.007792687926790889, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_e, (5.199999999999981, m, &r), -0.0001589434526459543, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (-5.0, m, &r), 0.3271928185544435, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (0.5499999999999906, m, &r), -0.2874057279170166, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (1.499999999999991, m, &r), -0.3314199796863637, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (2.49999999999999, m, &r), -0.3661089384751620, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (3.649999999999986, m, &r), -0.3974033831453963, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Ai_deriv_scaled_e, (6.299999999999977, m, &r), -0.4508799189585947, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (-5.0, m, &r), 0.778411773001899, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (-0.5500000000000094, m, &r), 0.5155785358765014, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (0.4999999999999906, m, &r), 0.5445725641405883, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (1.899999999999992, m, &r), 3.495165862891568, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (3.249999999999988, m, &r), 36.55485149250338, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_e, (5.199999999999981, m, &r), 2279.748293583233, TEST_TOL1, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (-5.0, m, &r), 0.778411773001899, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (0.5499999999999906, m, &r), 0.4322811281817566, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (1.499999999999991, m, &r), 0.5542307563918037, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (2.49999999999999, m, &r), 0.6755384441644985, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (3.649999999999986, m, &r), 0.7613959373000228, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_Bi_deriv_scaled_e, (6.299999999999977, m, &r), 0.8852064139737571, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_e, (2, &r), -4.087949444130970617, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_e, (50, &r), -38.02100867725525443, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_e, (100, &r), -60.45555727411669871, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_e, (110, &r), -64.43135670991324811, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (2, &r), -3.271093302836352716, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (50, &r), -37.76583438165180116, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (100, &r), -60.25336482580837088, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (110, &r), -64.2355167606561537, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (111, &r), -64.6268994819519378, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_e, (200, &r), -95.88699147356682665, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_deriv_e, (2, &r), -3.248197582179836561, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_deriv_e, (50, &r), -37.76565910053887108, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_deriv_e, (100, &r), -60.25329596442479317, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_deriv_e, (110, &r), -64.23545617243546956, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Ai_deriv_e, (1000, &r), -280.9378080358935071, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (2, &r), -4.073155089071828216, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (50, &r), -38.02083574095788210, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (100, &r), -60.45548887257140819, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (110, &r), -64.43129648944845060, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (111, &r), -64.82208737584206093, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (200, &r), -96.04731050310324450, TEST_TOL0, GSL_SUCCESS);
TEST_SF(s, gsl_sf_airy_zero_Bi_deriv_e, (1000, &r), -281.0315164471118527, TEST_TOL0, GSL_SUCCESS);
return s;
}