1 files changed, 113 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/gsl_sf_psi.h b/gsl-1.9/specfunc/gsl_sf_psi.h
new file mode 100644
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+++ b/gsl-1.9/specfunc/gsl_sf_psi.h
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+/* specfunc/gsl_sf_psi.h
+ * 
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 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.
+ */
+
+/* Author:  G. Jungman */
+
+#ifndef __GSL_SF_PSI_H__
+#define __GSL_SF_PSI_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
+
+
+/* Poly-Gamma Functions
+ *
+ * psi(m,x) := (d/dx)^m psi(0,x) = (d/dx)^{m+1} log(gamma(x))
+ */
+
+
+/* Di-Gamma Function  psi(n) = psi(0,n)
+ *
+ * n > 0
+ * exceptions: GSL_EDOM
+ */
+int     gsl_sf_psi_int_e(const int n, gsl_sf_result * result);
+double  gsl_sf_psi_int(const int n);
+
+
+/* Di-Gamma Function psi(x) = psi(0, x)
+ *
+ * x != 0.0, -1.0, -2.0, ...
+ * exceptions: GSL_EDOM, GSL_ELOSS
+ */
+int     gsl_sf_psi_e(const double x, gsl_sf_result * result);
+double  gsl_sf_psi(const double x);
+
+
+/* Di-Gamma Function Re[psi(1 + I y)]
+ *
+ * exceptions: none
+ */
+int     gsl_sf_psi_1piy_e(const double y, gsl_sf_result * result);
+double  gsl_sf_psi_1piy(const double y);
+
+
+/* Di-Gamma Function psi(z) for general complex argument z = x + iy
+ *
+ * exceptions: GSL_EDOM
+ */
+int gsl_sf_complex_psi_e(
+  const double x,
+  const double y,
+  gsl_sf_result * result_re,
+  gsl_sf_result * result_im
+  );
+
+
+/* Tri-Gamma Function psi^(1)(n)
+ *
+ * n > 0
+ * exceptions: GSL_EDOM
+ */
+int     gsl_sf_psi_1_int_e(const int n, gsl_sf_result * result);
+double  gsl_sf_psi_1_int(const int n);
+
+
+/* Tri-Gamma Function psi^(1)(x)
+ *
+ * x != 0.0, -1.0, -2.0, ...
+ * exceptions: GSL_EDOM, GSL_ELOSS
+ */
+int     gsl_sf_psi_1_e(const double x, gsl_sf_result * result);
+double  gsl_sf_psi_1(const double x);
+
+
+/* Poly-Gamma Function psi^(n)(x)
+ *
+ * n >= 0, x > 0.0
+ * exceptions: GSL_EDOM
+ */
+int     gsl_sf_psi_n_e(const int n, const double x, gsl_sf_result * result);
+double  gsl_sf_psi_n(const int n, const double x);
+
+
+__END_DECLS
+
+#endif /* __GSL_SF_PSI_H__ */