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Diffstat (limited to 'gsl-1.9/cheb/test.c')
| -rw-r--r-- | gsl-1.9/cheb/test.c | 208 |
1 files changed, 208 insertions, 0 deletions
diff --git a/gsl-1.9/cheb/test.c b/gsl-1.9/cheb/test.c new file mode 100644 index 0000000..7c27d84 --- /dev/null +++ b/gsl-1.9/cheb/test.c @@ -0,0 +1,208 @@ +/* cheb/test.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 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 Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +#include <config.h> +#include <stdlib.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_errno.h> +#include <gsl/gsl_test.h> +#include <gsl/gsl_ieee_utils.h> +#include <gsl/gsl_chebyshev.h> + +double f_T0 (double x, void * p) { + p = 0; + return 1.0; +} + +double f_T1 (double x, void * p) { + p = 0; + return x; +} + +double f_T2 (double x, void * p) { + p = 0; + return 2*x*x - 1; +} + +double f_sin (double x, void * p) { + p = 0; + return sin(x); +} + +int +main(void) +{ + double tol = 100.0 * GSL_DBL_EPSILON; + double ftol = 20.0; + double x; + size_t i; + + gsl_cheb_series * cs = gsl_cheb_alloc(40); + gsl_cheb_series * csd = gsl_cheb_alloc(40); + gsl_cheb_series * csi = gsl_cheb_alloc(40); + + gsl_function F_sin, F_T0, F_T1, F_T2; + + F_sin.function = f_sin; + F_sin.params = 0; + + F_T0.function = f_T0; + F_T0.params = 0; + + F_T1.function = f_T1; + F_T1.params = 0; + + F_T2.function = f_T2; + F_T2.params = 0; + + gsl_ieee_env_setup(); + + gsl_cheb_init(cs, &F_T0, -1.0, 1.0); + + for (i = 0; i<cs->order; i++) + { + double c_exp = (i == 0) ? 2.0 : 0.0; + gsl_test_abs (cs->c[i], c_exp, tol, "c[%d] for T_0(x)", i); + } + + gsl_cheb_init(cs, &F_T1, -1.0, 1.0); + + for (i = 0; i<cs->order; i++) + { + double c_exp = (i == 1) ? 1.0 : 0.0; + gsl_test_abs (cs->c[i], c_exp, tol, "c[%d] for T_1(x)", i); + } + + gsl_cheb_init(cs, &F_T2, -1.0, 1.0); + + for (i = 0; i<cs->order; i++) + { + double c_exp = (i == 2) ? 1.0 : 0.0; + gsl_test_abs (cs->c[i], c_exp, tol, "c[%d] for T_2(x)", i); + } + + gsl_cheb_init(cs, &F_sin, -M_PI, M_PI); + + gsl_test_abs (cs->c[0], 0.0, tol, "c[0] for F_sin(x)"); + gsl_test_abs (cs->c[1], 5.69230686359506e-01, tol, "c[1] for F_sin(x)"); + gsl_test_abs (cs->c[2], 0.0, tol, "c[2] for F_sin(x)"); + gsl_test_abs (cs->c[3], -6.66916672405979e-01, tol, "c[3] for F_sin(x)"); + gsl_test_abs (cs->c[4], 0.0, tol, "c[4] for F_sin(x)"); + gsl_test_abs (cs->c[5], 1.04282368734237e-01, tol, "c[5] for F_sin(x)"); + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval(cs, x); + gsl_test_abs(r, sin(x), tol, "gsl_cheb_eval, sin(%.3g)", x); + } + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_err(cs, x, &r, &e); + gsl_test_abs(r, sin(x), tol, "gsl_cheb_eval_err, sin(%.3g)", x); + gsl_test_factor(fabs(r-sin(x)) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_err, error sin(%.3g)", x); + } + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval_n(cs, 25, x); + gsl_test_abs(r, sin(x), tol, "gsl_cheb_eval_n, sin(%.3g)", x); + } + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_n_err(cs, 25, x, &r, &e); + gsl_test_abs(r, sin(x), 100.0 * tol, "gsl_cheb_eval_n_err, deriv sin(%.3g)", x); + gsl_test_factor(fabs(r-sin(x)) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_n_err, error sin(%.3g)", x); + } + + /* Test derivative */ + + gsl_cheb_calc_deriv(csd, cs); + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval(csd, x); + gsl_test_abs(r, cos(x), 1600 * tol, "gsl_cheb_eval, deriv sin(%.3g)", x); + } + +#ifdef TEST_DERIVATIVE_ERR + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_err(csd, x, &r, &e); + gsl_test_abs(r, cos(x), tol, "gsl_cheb_eval_err, deriv sin(%.3g)", x); + gsl_test_factor(fabs(r-cos(x)) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_err, deriv error sin(%.3g)", x); + } +#endif + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval_n(csd, 25, x); + gsl_test_abs(r, cos(x), 1600 * tol, "gsl_cheb_eval_n, deriv sin(%.3g)", x); + } + +#ifdef TEST_DERIVATIVE_ERR + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_n_err(csd, 25, x, &r, &e); + gsl_test_abs(r, cos(x), 100.0 * tol, "gsl_cheb_eval_n_err, deriv sin(%.3g)", x); + gsl_test_factor(fabs(r-cos(x)) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_n_err, deriv error sin(%.3g)", x); + } +#endif + + /* Test integral */ + + gsl_cheb_calc_integ(csi, cs); + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval(csi, x); + gsl_test_abs(r, -(1+cos(x)), tol, "gsl_cheb_eval, integ sin(%.3g)", x); + } + +#ifdef TEST_INTEGRAL_ERR + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_err(csi, x, &r, &e); + gsl_test_abs(r, -(1+cos(x)), tol, "gsl_cheb_eval_err, integ sin(%.3g)", x); + gsl_test_factor(fabs(r-(-1-cos(x))) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_err, integ error sin(%.3g)", x); + } +#endif + + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r = gsl_cheb_eval_n(csi, 25, x); + gsl_test_abs(r, -(1+cos(x)), tol, "gsl_cheb_eval_n, integ sin(%.3g)", x); + } + +#ifdef TEST_INTEGRAL_ERR + for(x=-M_PI; x<M_PI; x += M_PI/100.0) { + double r, e; + gsl_cheb_eval_n_err(csi, 25, x, &r, &e); + gsl_test_abs(r, -(1+cos(x)), 100.0 * tol, "gsl_cheb_eval_n_err, integ sin(%.3g)", x); + gsl_test_factor(fabs(r-(-1-cos(x))) + GSL_DBL_EPSILON, e, ftol, + "gsl_cheb_eval_n_err, integ error sin(%.3g)", x); + } +#endif + + gsl_cheb_free(csi); + gsl_cheb_free(csd); + gsl_cheb_free(cs); + + exit (gsl_test_summary()); +} |