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Diffstat (limited to 'gsl-1.9/cdf/fdistinv.c')
-rw-r--r-- | gsl-1.9/cdf/fdistinv.c | 104 |
1 files changed, 104 insertions, 0 deletions
diff --git a/gsl-1.9/cdf/fdistinv.c b/gsl-1.9/cdf/fdistinv.c new file mode 100644 index 0000000..231f5c1 --- /dev/null +++ b/gsl-1.9/cdf/fdistinv.c @@ -0,0 +1,104 @@ +/* cdf/fdistinv.c + * + * Copyright (C) 2002 Przemyslaw Sliwa and Jason H. Stover. + * Copyright (C) 2006 Brian Gough + * + * 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. + */ + +#include <config.h> +#include <gsl/gsl_cdf.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_errno.h> + +#include "error.h" + +double +gsl_cdf_fdist_Pinv (const double P, const double nu1, const double nu2) +{ + double result; + double y; + + if (P < 0.0) + { + CDF_ERROR ("P < 0.0", GSL_EDOM); + } + if (P > 1.0) + { + CDF_ERROR ("P > 1.0", GSL_EDOM); + } + if (nu1 < 1.0) + { + CDF_ERROR ("nu1 < 1", GSL_EDOM); + } + if (nu2 < 1.0) + { + CDF_ERROR ("nu2 < 1", GSL_EDOM); + } + + if (P < 0.5) + { + y = gsl_cdf_beta_Pinv (P, nu1 / 2.0, nu2 / 2.0); + + result = nu2 * y / (nu1 * (1.0 - y)); + } + else + { + y = gsl_cdf_beta_Qinv (P, nu2 / 2.0, nu1 / 2.0); + + result = nu2 * (1 - y) / (nu1 * y); + } + + return result; +} + +double +gsl_cdf_fdist_Qinv (const double Q, const double nu1, const double nu2) +{ + double result; + double y; + + if (Q < 0.0) + { + CDF_ERROR ("Q < 0.0", GSL_EDOM); + } + if (Q > 1.0) + { + CDF_ERROR ("Q > 1.0", GSL_EDOM); + } + if (nu1 < 1.0) + { + CDF_ERROR ("nu1 < 1", GSL_EDOM); + } + if (nu2 < 1.0) + { + CDF_ERROR ("nu2 < 1", GSL_EDOM); + } + + if (Q > 0.5) + { + y = gsl_cdf_beta_Qinv (Q, nu1 / 2.0, nu2 / 2.0); + + result = nu2 * y / (nu1 * (1.0 - y)); + } + else + { + y = gsl_cdf_beta_Pinv (Q, nu2 / 2.0, nu1 / 2.0); + + result = nu2 * (1 - y) / (nu1 * y); + } + + return result; +} |