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authorAnkit Raj2017-06-21 11:42:02 +0530
committerAnkit Raj2017-06-21 11:42:02 +0530
commit061f07929cc984788154bc296c6cc440ef72a3c6 (patch)
treec486321ca7a986cb0ffe9c1c8c5f9c385a697776 /thirdparty/includes/GSL/gsl/gsl_sf_erf.h
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parente92d6c6791aae06053637ad3bf6b0f9d8986986c (diff)
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updated with main repo
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+/* specfunc/gsl_sf_erf.h
+ *
+ * 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 */
+
+#ifndef __GSL_SF_ERF_H__
+#define __GSL_SF_ERF_H__
+
+#include <gsl/gsl_sf_result.h>
+
+#undef __BEGIN_DECLS
+#undef __END_DECLS
+#ifdef __cplusplus
+# define __BEGIN_DECLS extern "C" {
+# define __END_DECLS }
+#else
+# define __BEGIN_DECLS /* empty */
+# define __END_DECLS /* empty */
+#endif
+
+__BEGIN_DECLS
+
+
+/* Complementary Error Function
+ * erfc(x) := 2/Sqrt[Pi] Integrate[Exp[-t^2], {t,x,Infinity}]
+ *
+ * exceptions: none
+ */
+int gsl_sf_erfc_e(double x, gsl_sf_result * result);
+double gsl_sf_erfc(double x);
+
+
+/* Log Complementary Error Function
+ *
+ * exceptions: none
+ */
+int gsl_sf_log_erfc_e(double x, gsl_sf_result * result);
+double gsl_sf_log_erfc(double x);
+
+
+/* Error Function
+ * erf(x) := 2/Sqrt[Pi] Integrate[Exp[-t^2], {t,0,x}]
+ *
+ * exceptions: none
+ */
+int gsl_sf_erf_e(double x, gsl_sf_result * result);
+double gsl_sf_erf(double x);
+
+
+/* Probability functions:
+ * Z(x) : Abramowitz+Stegun 26.2.1
+ * Q(x) : Abramowitz+Stegun 26.2.3
+ *
+ * exceptions: none
+ */
+int gsl_sf_erf_Z_e(double x, gsl_sf_result * result);
+int gsl_sf_erf_Q_e(double x, gsl_sf_result * result);
+double gsl_sf_erf_Z(double x);
+double gsl_sf_erf_Q(double x);
+
+
+/* Hazard function, also known as the inverse Mill's ratio.
+ *
+ * H(x) := Z(x)/Q(x)
+ * = Sqrt[2/Pi] Exp[-x^2 / 2] / Erfc[x/Sqrt[2]]
+ *
+ * exceptions: GSL_EUNDRFLW
+ */
+int gsl_sf_hazard_e(double x, gsl_sf_result * result);
+double gsl_sf_hazard(double x);
+
+
+__END_DECLS
+
+#endif /* __GSL_SF_ERF_H__ */