LinearAlgebra and MatrixOperation Update

1 files changed, 0 insertions, 549 deletions

diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_bessel.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_bessel.h
deleted file mode 100644
index d72957ae..00000000
--- a/2.3-1/thirdparty/includes/GSL/gsl/gsl_sf_bessel.h
+++ /dev/null
@@ -1,549 +0,0 @@
-/* specfunc/gsl_sf_bessel.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_BESSEL_H__
-#define __GSL_SF_BESSEL_H__
-
-#include <stdlib.h>
-#include <gsl/gsl_mode.h>
-#include <gsl/gsl_precision.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
-
-
-/* Regular Bessel Function J_0(x)
- *
- * exceptions: none
- */
-int gsl_sf_bessel_J0_e(const double x,  gsl_sf_result * result);
-double gsl_sf_bessel_J0(const double x);
-
-
-/* Regular Bessel Function J_1(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_J1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_J1(const double x);
-
-
-/* Regular Bessel Function J_n(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Jn_e(int n, double x, gsl_sf_result * result);
-double gsl_sf_bessel_Jn(const int n, const double x);
-
-
-/* Regular Bessel Function J_n(x),  nmin <= n <= nmax
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Jn_array(int nmin, int nmax, double x, double * result_array);
-
-
-/* Irregular Bessel function Y_0(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Y0_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Y0(const double x);
-
-
-/* Irregular Bessel function Y_1(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Y1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Y1(const double x);
-
-
-/* Irregular Bessel function Y_n(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Yn_e(int n,const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Yn(const int n,const double x);
-
-
-/* Irregular Bessel function Y_n(x), nmin <= n <= nmax
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Yn_array(const int nmin, const int nmax, const double x, double * result_array);
-
-
-/* Regular modified Bessel function I_0(x)
- *
- * exceptions: GSL_EOVRFLW
- */
-int gsl_sf_bessel_I0_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_I0(const double x);
-
-
-/* Regular modified Bessel function I_1(x)
- *
- * exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_I1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_I1(const double x);
-
-
-/* Regular modified Bessel function I_n(x)
- *
- * exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_In_e(const int n, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_In(const int n, const double x);
-
-
-/* Regular modified Bessel function  I_n(x) for n=nmin,...,nmax
- *
- * nmin >=0, nmax >= nmin
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_In_array(const int nmin, const int nmax, const double x, double * result_array);
-
-
-/* Scaled regular modified Bessel function
- *  exp(-|x|) I_0(x)
- *
- * exceptions: none
- */
-int gsl_sf_bessel_I0_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_I0_scaled(const double x);
-
-
-/* Scaled regular modified Bessel function
- *  exp(-|x|) I_1(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_I1_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_I1_scaled(const double x);
-
-
-/* Scaled regular modified Bessel function
- *  exp(-|x|) I_n(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_In_scaled_e(int n, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_In_scaled(const int n, const double x);
-
-
-/* Scaled regular modified Bessel function
- *  exp(-|x|) I_n(x)  for n=nmin,...,nmax
- *
- * nmin >=0, nmax >= nmin
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_In_scaled_array(const int nmin, const int nmax, const double x, double * result_array);
-
-
-/* Irregular modified Bessel function K_0(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_K0_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_K0(const double x);
-
-
-/* Irregular modified Bessel function K_1(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_K1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_K1(const double x);
-
-
-/* Irregular modified Bessel function K_n(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Kn_e(const int n, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Kn(const int n, const double x);
-
-
-/* Irregular modified Bessel function  K_n(x)  for n=nmin,...,nmax
- *
- * x > 0.0, nmin >=0, nmax >= nmin
- * exceptions: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Kn_array(const int nmin, const int nmax, const double x, double * result_array);
-
-
-/* Scaled irregular modified Bessel function
- *  exp(x) K_0(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM
- */
-int gsl_sf_bessel_K0_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_K0_scaled(const double x);
-
-
-/* Scaled irregular modified Bessel function
- *  exp(x) K_1(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_K1_scaled_e(const double x, gsl_sf_result * result); 
-double gsl_sf_bessel_K1_scaled(const double x);
-
-
-/* Scaled irregular modified Bessel function
- *  exp(x) K_n(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Kn_scaled_e(int n, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Kn_scaled(const int n, const double x);
-
-
-/* Scaled irregular modified Bessel function  exp(x) K_n(x)  for n=nmin,...,nmax
- *
- * x > 0.0, nmin >=0, nmax >= nmin
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Kn_scaled_array(const int nmin, const int nmax, const double x, double * result_array);
-
-
-/* Regular spherical Bessel function j_0(x) = sin(x)/x
- *
- * exceptions: none
- */
-int gsl_sf_bessel_j0_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_j0(const double x);
-
-
-/* Regular spherical Bessel function j_1(x) = (sin(x)/x - cos(x))/x
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_j1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_j1(const double x);
-
-
-/* Regular spherical Bessel function j_2(x) = ((3/x^2 - 1)sin(x) - 3cos(x)/x)/x
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_j2_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_j2(const double x);
-
-
-/* Regular spherical Bessel function j_l(x)
- *
- * l >= 0, x >= 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_jl_e(const int l, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_jl(const int l, const double x);
-
-
-/* Regular spherical Bessel function j_l(x) for l=0,1,...,lmax
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_jl_array(const int lmax, const double x, double * result_array);
-
-
-/* Regular spherical Bessel function j_l(x) for l=0,1,...,lmax
- * Uses Steed's method.
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_jl_steed_array(const int lmax, const double x, double * jl_x_array);
-
-
-/* Irregular spherical Bessel function y_0(x)
- *
- * exceptions: none
- */
-int gsl_sf_bessel_y0_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_y0(const double x);
-
-
-/* Irregular spherical Bessel function y_1(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_y1_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_y1(const double x);
-
-
-/* Irregular spherical Bessel function y_2(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_y2_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_y2(const double x);
-
-
-/* Irregular spherical Bessel function y_l(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_yl_e(int l, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_yl(const int l, const double x);
-
-
-/* Irregular spherical Bessel function y_l(x) for l=0,1,...,lmax
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_yl_array(const int lmax, const double x, double * result_array);
-
-
-/* Regular scaled modified spherical Bessel function
- *
- * Exp[-|x|] i_0(x)
- *
- * exceptions: none
- */
-int gsl_sf_bessel_i0_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_i0_scaled(const double x);
-
-
-/* Regular scaled modified spherical Bessel function
- *
- * Exp[-|x|] i_1(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_i1_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_i1_scaled(const double x);
-
-
-/* Regular scaled modified spherical Bessel function
- *
- * Exp[-|x|] i_2(x)
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_i2_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_i2_scaled(const double x);
-
-
-/* Regular scaled modified spherical Bessel functions
- *
- * Exp[-|x|] i_l(x)
- *
- * i_l(x) = Sqrt[Pi/(2x)] BesselI[l+1/2,x]
- *
- * l >= 0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_il_scaled_e(const int l, double x, gsl_sf_result * result);
-double gsl_sf_bessel_il_scaled(const int l, const double x);
-
-
-/* Regular scaled modified spherical Bessel functions
- *
- * Exp[-|x|] i_l(x)
- * for l=0,1,...,lmax
- *
- * exceptions: GSL_EUNDRFLW
- */
-int gsl_sf_bessel_il_scaled_array(const int lmax, const double x, double * result_array);
-
-
-/* Irregular scaled modified spherical Bessel function
- * Exp[x] k_0(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_k0_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_k0_scaled(const double x);
-
-
-/* Irregular modified spherical Bessel function
- * Exp[x] k_1(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW, GSL_EOVRFLW
- */
-int gsl_sf_bessel_k1_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_k1_scaled(const double x);
-
-
-/* Irregular modified spherical Bessel function
- * Exp[x] k_2(x)
- *
- * x > 0.0
- * exceptions: GSL_EDOM, GSL_EUNDRFLW, GSL_EOVRFLW
- */
-int gsl_sf_bessel_k2_scaled_e(const double x, gsl_sf_result * result);
-double gsl_sf_bessel_k2_scaled(const double x);
-
-
-/* Irregular modified spherical Bessel function
- * Exp[x] k_l[x]
- *
- * k_l(x) = Sqrt[Pi/(2x)] BesselK[l+1/2,x]
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_kl_scaled_e(int l, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_kl_scaled(const int l, const double x);
-
-
-/* Irregular scaled modified spherical Bessel function
- * Exp[x] k_l(x)
- *
- * for l=0,1,...,lmax
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_kl_scaled_array(const int lmax, const double x, double * result_array);
-
-
-/* Regular cylindrical Bessel function J_nu(x)
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Jnu_e(const double nu, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Jnu(const double nu, const double x);
-
-
-/* Irregular cylindrical Bessel function Y_nu(x)
- *
- * exceptions:  
- */
-int gsl_sf_bessel_Ynu_e(double nu, double x, gsl_sf_result * result);
-double gsl_sf_bessel_Ynu(const double nu, const double x);
-
-
-/* Regular cylindrical Bessel function J_nu(x)
- * evaluated at a series of x values. The array
- * contains the x values. They are assumed to be
- * strictly ordered and positive. The array is
- * over-written with the values of J_nu(x_i).
- *
- * exceptions: GSL_EDOM, GSL_EINVAL
- */
-int gsl_sf_bessel_sequence_Jnu_e(double nu, gsl_mode_t mode, size_t size, double * v);
-
-
-/* Scaled modified cylindrical Bessel functions
- *
- * Exp[-|x|] BesselI[nu, x]
- * x >= 0, nu >= 0
- *
- * exceptions: GSL_EDOM
- */
-int gsl_sf_bessel_Inu_scaled_e(double nu, double x, gsl_sf_result * result);
-double gsl_sf_bessel_Inu_scaled(double nu, double x);
-
-
-/* Modified cylindrical Bessel functions
- *
- * BesselI[nu, x]
- * x >= 0, nu >= 0
- *
- * exceptions: GSL_EDOM, GSL_EOVRFLW
- */
-int gsl_sf_bessel_Inu_e(double nu, double x, gsl_sf_result * result);
-double gsl_sf_bessel_Inu(double nu, double x);
-
-
-/* Scaled modified cylindrical Bessel functions
- *
- * Exp[+|x|] BesselK[nu, x]
- * x > 0, nu >= 0
- *
- * exceptions: GSL_EDOM
- */
-int gsl_sf_bessel_Knu_scaled_e(const double nu, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Knu_scaled(const double nu, const double x);
-
-int gsl_sf_bessel_Knu_scaled_e10_e(const double nu, const double x, gsl_sf_result_e10 * result);
-
-/* Modified cylindrical Bessel functions
- *
- * BesselK[nu, x]
- * x > 0, nu >= 0
- *
- * exceptions: GSL_EDOM, GSL_EUNDRFLW
- */
-int gsl_sf_bessel_Knu_e(const double nu, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_Knu(const double nu, const double x);
-
-
-/* Logarithm of modified cylindrical Bessel functions.
- *
- * Log[BesselK[nu, x]]
- * x > 0, nu >= 0
- *
- * exceptions: GSL_EDOM
- */
-int gsl_sf_bessel_lnKnu_e(const double nu, const double x, gsl_sf_result * result);
-double gsl_sf_bessel_lnKnu(const double nu, const double x);
-
-
-/* s'th positive zero of the Bessel function J_0(x).
- *
- * exceptions: 
- */
-int gsl_sf_bessel_zero_J0_e(unsigned int s, gsl_sf_result * result);
-double gsl_sf_bessel_zero_J0(unsigned int s);
-
-
-/* s'th positive zero of the Bessel function J_1(x).
- *
- * exceptions: 
- */
-int gsl_sf_bessel_zero_J1_e(unsigned int s, gsl_sf_result * result);
-double gsl_sf_bessel_zero_J1(unsigned int s);
-
-
-/* s'th positive zero of the Bessel function J_nu(x).
- *
- * exceptions: 
- */
-int gsl_sf_bessel_zero_Jnu_e(double nu, unsigned int s, gsl_sf_result * result);
-double gsl_sf_bessel_zero_Jnu(double nu, unsigned int s);
-
-
-__END_DECLS
-
-#endif /* __GSL_SF_BESSEL_H__ */