ccgsl 2.7.2
C++wrappersforGnuScientificLibrary
sf_legendre.hpp
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1/*
2 * $Id: sf_legendre.hpp 9 2010-06-13 14:02:43Z jdl3 $
3 * Copyright (C) 2010, 2019, 2020 John D Lamb
4 *
5 * This program is free software; you can redistribute it and/or modify
6 * it under the terms of the GNU General Public License as published by
7 * the Free Software Foundation; either version 2 of the License, or (at
8 * your option) any later version.
9 *
10 * This program is distributed in the hope that it will be useful, but
11 * WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 * General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with this program; if not, write to the Free Software
17 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
18 */
19
20#ifndef CCGSL_SF_LEGENDRE_HPP
21#define CCGSL_SF_LEGENDRE_HPP
22
23#include<gsl/gsl_sf_legendre.h>
24#include"mode.hpp"
25#include"sf_result.hpp"
26
27namespace gsl {
28 namespace sf {
32 namespace legendre {
36 typedef gsl_sf_legendre_t legendre_t;
41 inline legendre_t const SCHMIDT() { return GSL_SF_LEGENDRE_SCHMIDT; }
46 inline legendre_t const SPHARM() { return GSL_SF_LEGENDRE_SPHARM; }
51 inline legendre_t const FULL() { return GSL_SF_LEGENDRE_FULL; }
56 inline legendre_t const NONE() { return GSL_SF_LEGENDRE_NONE; }
65 inline int Pl_e( int const l, double const x, result& result ){
66 return gsl_sf_legendre_Pl_e( l, x, &result ); }
74 inline double Pl( int const l, double const x ){
75 return gsl_sf_legendre_Pl( l, x ); }
76#ifndef DOXYGEN_SKIP
85 inline int Pl_array( int const lmax, double const x, double* result_array ){
86 return gsl_sf_legendre_Pl_array( lmax, x, result_array ); }
87#endif // DOXYGEN_SKIP
96 template<typename DATA>
97 inline int Pl_array( int const lmax, double const x, DATA& result_array ){
98 if(result_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
99 return gsl_sf_legendre_Pl_array( lmax, x, result_array.data() ); }
100#ifndef DOXYGEN_SKIP
110 inline int Pl_deriv_array( int const lmax, double const x,
111 double* result_array, double* result_deriv_array ){
112 return gsl_sf_legendre_Pl_deriv_array( lmax, x, result_array,
113 result_deriv_array ); }
114#endif // DOXYGEN_SKIP
124 template<typename DATA>
125 inline int Pl_deriv_array( int const lmax, double const x,
126 DATA& result_array, DATA& result_deriv_array ){
127 if(result_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
128 if(result_deriv_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
129 return gsl_sf_legendre_Pl_deriv_array( lmax, x, result_array.data(),
130 result_deriv_array.data() ); }
138 inline int P1_e( double x, result& result ){
139 return gsl_sf_legendre_P1_e( x, &result ); }
147 inline int P2_e( double x, result& result ){
148 return gsl_sf_legendre_P2_e( x, &result ); }
156 inline int P3_e( double x, result& result ){
157 return gsl_sf_legendre_P3_e( x, &result ); }
164 inline double P1( double const x ){ return gsl_sf_legendre_P1( x ); }
171 inline double P2( double const x ){ return gsl_sf_legendre_P2( x ); }
178 inline double P3( double const x ){ return gsl_sf_legendre_P3( x ); }
186 inline int Q0_e( double const x, result& result ){
187 return gsl_sf_legendre_Q0_e( x, &result ); }
194 inline double Q0( double const x ){ return gsl_sf_legendre_Q0( x ); }
202 inline int Q1_e( double const x, result& result ){
203 return gsl_sf_legendre_Q1_e( x, &result ); }
210 inline double Q1( double const x ){ return gsl_sf_legendre_Q1( x ); }
219 inline int Ql_e( int const l, double const x, result& result ){
220 return gsl_sf_legendre_Ql_e( l, x, &result ); }
228 inline double Ql( int const l, double const x ){ return gsl_sf_legendre_Ql( l, x ); }
251 inline int Plm_e( int const l, int const m, double const x, result& result ){
252 return gsl_sf_legendre_Plm_e( l, m, x, &result ); }
274 inline double Plm( int const l, int const m, double const x ){
275 return gsl_sf_legendre_Plm( l, m, x ); }
276#ifndef DOXYGEN_SKIP
287 inline int Plm_array( int const lmax, int const m, double const x, double* result_array ){
288 return gsl_sf_legendre_Plm_array( lmax, m, x, result_array ); }
289#endif // DOXYGEN_SKIP
300 template<typename DATA>
301 inline int Plm_array( int const lmax, int const m, double const x, DATA& result_array ){
302 if(result_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
303 return gsl_sf_legendre_Plm_array( lmax, m, x, result_array.data() ); }
304#ifndef DOXYGEN_SKIP
316 inline int Plm_deriv_array( int const lmax, int const m, double const x,
317 double* result_array, double* result_deriv_array ){
318 return gsl_sf_legendre_Plm_deriv_array( lmax, m, x, result_array,
319 result_deriv_array ); }
320#endif // DOXYGEN_SKIP
332 template<typename DATA>
333 inline int Plm_deriv_array( int const lmax, int const m, double const x,
334 DATA& result_array, DATA& result_deriv_array ){
335 if(result_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
336 if(result_deriv_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
337 return gsl_sf_legendre_Plm_deriv_array( lmax, m, x, result_array.data(),
338 result_deriv_array.data() ); }
356 inline int sphPlm_e( int const l, int m, double const x, result& result ){
357 return gsl_sf_legendre_sphPlm_e( l, m, x, &result ); }
374 inline double sphPlm( int const l, int const m, double const x ){
375 return gsl_sf_legendre_sphPlm( l, m, x ); }
376#ifndef DOXYGEN_SKIP
377 // DEPRECATED
389 inline int sphPlm_array( int const lmax, int m, double const x, double* result_array ){
390 return gsl_sf_legendre_sphPlm_array( lmax, m, x, result_array ); }
403 inline int sphPlm_deriv_array( int const lmax, int const m, double const x,
404 double* result_array, double* result_deriv_array ){
405 return gsl_sf_legendre_sphPlm_deriv_array( lmax, m, x, result_array, result_deriv_array ); }
406#endif // DOXYGEN_SKIP
415 inline int array_size( int const lmax, int const m ){
416 return gsl_sf_legendre_array_size( lmax, m ); }
428 }
429 inline int conicalP_half_e( double const lambda, double const x, result& result ){
430 return gsl_sf_conicalP_half_e( lambda, x, &result ); }
441 inline double conicalP_half( double const lambda, double const x ){
442 return gsl_sf_conicalP_half( lambda, x ); }
454 inline int conicalP_mhalf_e( double const lambda, double const x, result& result ){
455 return gsl_sf_conicalP_mhalf_e( lambda, x, &result ); }
466 inline double conicalP_mhalf( double const lambda, double const x ){
467 return gsl_sf_conicalP_mhalf( lambda, x ); }
479 inline int conicalP_0_e( double const lambda, double const x, result& result ){
480 return gsl_sf_conicalP_0_e( lambda, x, &result ); }
491 inline double conicalP_0( double const lambda, double const x ){
492 return gsl_sf_conicalP_0( lambda, x ); }
504 inline int conicalP_1_e( double const lambda, double const x, result& result ){
505 return gsl_sf_conicalP_1_e( lambda, x, &result ); }
516 inline double conicalP_1( double const lambda, double const x ){
517 return gsl_sf_conicalP_1( lambda, x ); }
530 inline int conicalP_sph_reg_e( int const l, double const lambda, double const x, result& result ){
531 return gsl_sf_conicalP_sph_reg_e( l, lambda, x, &result ); }
543 inline double conicalP_sph_reg( int const l, double const lambda, double const x ){
544 return gsl_sf_conicalP_sph_reg( l, lambda, x ); }
557 inline int conicalP_cyl_reg_e( int const m, double const lambda, double const x, result& result ){
558 return gsl_sf_conicalP_cyl_reg_e( m, lambda, x, &result ); }
570 inline double conicalP_cyl_reg( int const m, double const lambda, double const x ){
571 return gsl_sf_conicalP_cyl_reg( m, lambda, x ); }
572 namespace legendre {
589 inline int H3d_0_e( double const lambda, double const eta, result& result ){
590 return gsl_sf_legendre_H3d_0_e( lambda, eta, &result ); }
606 inline double H3d_0( double const lambda, double const eta ){
607 return gsl_sf_legendre_H3d_0( lambda, eta ); }
626 inline int H3d_1_e( double const lambda, double const eta, result& result ){
627 return gsl_sf_legendre_H3d_1_e( lambda, eta, &result ); }
645 inline double H3d_1( double const lambda, double const eta ){
646 return gsl_sf_legendre_H3d_1( lambda, eta ); }
662 inline int H3d_e( int const l, double const lambda, double const eta, result& result ){
663 return gsl_sf_legendre_H3d_e( l, lambda, eta, &result ); }
678 inline double H3d( int const l, double const lambda, double const eta ){
679 return gsl_sf_legendre_H3d( l, lambda, eta ); }
680#ifndef DOXYGEN_SKIP
690 inline int H3d_array( int const lmax, double const lambda, double const eta,
691 double* result_array ){
692 return gsl_sf_legendre_H3d_array( lmax, lambda, eta, result_array ); }
693#endif // DOXYGEN_SKIP
703 template<typename DATA>
704 inline int H3d_array( int const lmax, double const lambda, double const eta,
705 DATA& result_array ){
706 if(result_array.size() < static_cast<size_t>(lmax + 1)){ return GSL_EBADLEN; }
707 return gsl_sf_legendre_H3d_array( lmax, lambda, eta, result_array.data() ); }
708#ifndef DOXYGEN_SKIP
717 inline int array( legendre_t const norm,
718 size_t const lmax, double const x,
719 double* result_array ){
720 return gsl_sf_legendre_array( norm, lmax, x, result_array ); }
721#endif // DOXYGEN_SKIP
730 template<typename DATA>
731 inline int array( legendre_t const norm,
732 size_t const lmax, double const x,
733 DATA& result_array ){
734 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
735 return gsl_sf_legendre_array( norm, lmax, x, result_array.data() ); }
736#ifndef DOXYGEN_SKIP
746 inline int array_e( legendre_t const norm, size_t const lmax, double const x,
747 double const csphase, double* result_array ){
748 return gsl_sf_legendre_array_e( norm, lmax, x, csphase, result_array ); }
749#endif // DOXYGEN_SKIP
759 template<typename DATA>
760 inline int array_e( legendre_t const norm, size_t const lmax, double const x,
761 double const csphase, DATA& result_array ){
762 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
763 return gsl_sf_legendre_array_e( norm, lmax, x, csphase, result_array.data() ); }
764#ifndef DOXYGEN_SKIP
774 inline int deriv_array( legendre_t const norm, size_t const lmax, double const x,
775 double* result_array, double* result_deriv_array ){
776 return gsl_sf_legendre_deriv_array( norm, lmax, x, result_array,
777 result_deriv_array ); }
778#endif // DOXYGEN_SKIP
788 template<typename DATA>
789 inline int deriv_array( legendre_t const norm, size_t const lmax, double const x,
790 DATA& result_array, DATA& result_deriv_array ){
791 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
792 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
793 return gsl_sf_legendre_deriv_array( norm, lmax, x, result_array.data(),
794 result_deriv_array.data() ); }
795#ifndef DOXYGEN_SKIP
806 inline int deriv_array_e( legendre_t const norm, size_t const lmax, double const x,
807 double const csphase, double* result_array,
808 double* result_deriv_array ){
809 return gsl_sf_legendre_deriv_array_e( norm, lmax, x, csphase, result_array,
810 result_deriv_array ); }
811#endif // DOXYGEN_SKIP
822 template<typename DATA>
823 inline int deriv_array_e( legendre_t const norm, size_t const lmax, double const x,
824 double const csphase, DATA& result_array,
825 DATA& result_deriv_array ){
826 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
827 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
828 return gsl_sf_legendre_deriv_array_e( norm, lmax, x, csphase, result_array.data(),
829 result_deriv_array.data() ); }
830#ifndef DOXYGEN_SKIP
840 inline int deriv_alt_array( legendre_t const norm, size_t const lmax, double const x,
841 double* result_array, double* result_deriv_array ){
842 return gsl_sf_legendre_deriv_alt_array( norm, lmax, x, result_array,
843 result_deriv_array ); }
844#endif // DOXYGEN_SKIP
854 template<typename DATA>
855 inline int deriv_alt_array( legendre_t const norm, size_t const lmax, double const x,
856 DATA& result_array, DATA& result_deriv_array ){
857 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
858 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
859 return gsl_sf_legendre_deriv_alt_array( norm, lmax, x, result_array.data(),
860 result_deriv_array.data() ); }
861#ifndef DOXYGEN_SKIP
872 inline int deriv_alt_array_e( legendre_t const norm, size_t const lmax, double const x,
873 double const csphase, double* result_array,
874 double* result_deriv_array ){
875 return gsl_sf_legendre_deriv_alt_array_e( norm, lmax, x, csphase, result_array,
876 result_deriv_array ); }
877#endif // DOXYGEN_SKIP
888 template<typename DATA>
889 inline int deriv_alt_array_e( legendre_t const norm, size_t const lmax, double const x,
890 double const csphase, DATA& result_array,
891 DATA& result_deriv_array ){
892 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
893 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
894 return gsl_sf_legendre_deriv_alt_array_e( norm, lmax, x, csphase, result_array.data(),
895 result_deriv_array.data() ); }
896#ifndef DOXYGEN_SKIP
907 inline int deriv2_array( legendre_t const norm, size_t const lmax, double const x,
908 double* result_array, double* result_deriv_array,
909 double* result_deriv2_array ){
910 return gsl_sf_legendre_deriv2_array( norm, lmax, x, result_array, result_deriv_array,
911 result_deriv2_array ); }
912#endif // DOXYGEN_SKIP
923 template<typename DATA>
924 inline int deriv2_array( legendre_t const norm, size_t const lmax, double const x,
925 DATA& result_array, DATA& result_deriv_array,
926 DATA& result_deriv2_array ){
927 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
928 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
929 if(result_deriv2_array.size() < lmax + 1){ return GSL_EBADLEN; }
930 return gsl_sf_legendre_deriv2_array( norm, lmax, x, result_array.data(),
931 result_deriv_array.data(),
932 result_deriv2_array.data() ); }
933#ifndef DOXYGEN_SKIP
945 inline int deriv2_array_e( legendre_t const norm, size_t const lmax, double const x,
946 double const csphase, double* result_array,
947 double* result_deriv_array, double* result_deriv2_array ){
948 return gsl_sf_legendre_deriv2_array_e( norm, lmax, x, csphase, result_array,
949 result_deriv_array, result_deriv2_array ); }
950#endif // DOXYGEN_SKIP
962 template<typename DATA>
963 inline int deriv2_array_e( legendre_t const norm, size_t const lmax, double const x,
964 double const csphase, DATA& result_array,
965 DATA& result_deriv_array, DATA& result_deriv2_array ){
966 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
967 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
968 if(result_deriv2_array.size() < lmax + 1){ return GSL_EBADLEN; }
969 return gsl_sf_legendre_deriv2_array_e( norm, lmax, x, csphase, result_array.data(),
970 result_deriv_array.data(),
971 result_deriv2_array.data() ); }
972#ifndef DOXYGEN_SKIP
983 inline int deriv2_alt_array( legendre_t const norm, size_t const lmax, double const x,
984 double* result_array, double* result_deriv_array,
985 double* result_deriv2_array ){
986 return gsl_sf_legendre_deriv2_alt_array( norm, lmax, x, result_array,
987 result_deriv_array, result_deriv2_array ); }
988#endif // DOXYGEN_SKIP
999 template<typename DATA>
1000 inline int deriv2_alt_array( legendre_t const norm, size_t const lmax, double const x,
1001 DATA& result_array, DATA& result_deriv_array,
1002 DATA& result_deriv2_array ){
1003 return gsl_sf_legendre_deriv2_alt_array( norm, lmax, x, result_array.data(),
1004 result_deriv_array.data(),
1005 result_deriv2_array.data() ); }
1006#ifndef DOXYGEN_SKIP
1018 inline int deriv2_alt_array_e( legendre_t const norm, size_t const lmax, double const x,
1019 double const csphase, double* result_array,
1020 double* result_deriv_array, double* result_deriv2_array ){
1021 return gsl_sf_legendre_deriv2_alt_array_e( norm, lmax, x, csphase, result_array,
1022 result_deriv_array,
1023 result_deriv2_array ); }
1024#endif // DOXYGEN_SKIP
1036 template<typename DATA>
1037 inline int deriv2_alt_array_e( legendre_t const norm, size_t const lmax, double const x,
1038 double const csphase, DATA& result_array,
1039 DATA& result_deriv_array, DATA& result_deriv2_array ){
1040 if(result_array.size() < lmax + 1){ return GSL_EBADLEN; }
1041 if(result_deriv_array.size() < lmax + 1){ return GSL_EBADLEN; }
1042 if(result_deriv2_array.size() < lmax + 1){ return GSL_EBADLEN; }
1043 return gsl_sf_legendre_deriv2_alt_array_e( norm, lmax, x, csphase, result_array.data(),
1044 result_deriv_array.data(),
1045 result_deriv2_array.data() ); }
1051 inline size_t array_n( size_t const lmax ){ return gsl_sf_legendre_array_n( lmax ); }
1058 inline size_t array_index( size_t const l, size_t const m ){
1059 return gsl_sf_legendre_array_index( l, m ); }
1065 inline size_t nlm( size_t const lmax ){ return gsl_sf_legendre_nlm( lmax ); }
1066 }
1067 }
1068}
1069
1070#endif
gsl::sf::legendre::H3d_1
double H3d_1(double const lambda, double const eta)
C++ version of gsl_sf_legendre_H3d_1().
Definition: sf_legendre.hpp:645
gsl::sf::legendre::Q0
double Q0(double const x)
C++ version of gsl_sf_legendre_Q0().
Definition: sf_legendre.hpp:194
gsl::sf::legendre::H3d_1_e
int H3d_1_e(double const lambda, double const eta, result &result)
C++ version of gsl_sf_legendre_H3d_1_e().
Definition: sf_legendre.hpp:626
gsl::sf::legendre::array_index
size_t array_index(size_t const l, size_t const m)
C++ version of gsl_sf_legendre_array_index().
Definition: sf_legendre.hpp:1058
gsl::sf::legendre::Pl_e
int Pl_e(int const l, double const x, result &result)
C++ version of gsl_sf_legendre_Pl_e().
Definition: sf_legendre.hpp:65
gsl::sf::legendre::SCHMIDT
legendre_t const SCHMIDT()
Type.
Definition: sf_legendre.hpp:41
gsl::sf::legendre::Ql
double Ql(int const l, double const x)
C++ version of gsl_sf_legendre_Ql().
Definition: sf_legendre.hpp:228
gsl::sf::legendre::P1
double P1(double const x)
C++ version of gsl_sf_legendre_P1().
Definition: sf_legendre.hpp:164
gsl::sf::legendre::deriv2_array
int deriv2_array(legendre_t const norm, size_t const lmax, double const x, DATA &result_array, DATA &result_deriv_array, DATA &result_deriv2_array)
C++ version of gsl_sf_legendre_deriv2_array().
Definition: sf_legendre.hpp:924
gsl::sf::legendre::Q0_e
int Q0_e(double const x, result &result)
C++ version of gsl_sf_legendre_Q0_e().
Definition: sf_legendre.hpp:186
gsl::sf::legendre::SPHARM
legendre_t const SPHARM()
Type.
Definition: sf_legendre.hpp:46
gsl::sf::legendre::legendre_t
gsl_sf_legendre_t legendre_t
Alias.
Definition: sf_legendre.hpp:36
gsl::sf::legendre::sphPlm
double sphPlm(int const l, int const m, double const x)
C++ version of gsl_sf_legendre_sphPlm().
Definition: sf_legendre.hpp:374
gsl::sf::legendre::Ql_e
int Ql_e(int const l, double const x, result &result)
C++ version of gsl_sf_legendre_Ql_e().
Definition: sf_legendre.hpp:219
gsl::sf::legendre::H3d_array
int H3d_array(int const lmax, double const lambda, double const eta, DATA &result_array)
C++ version of gsl_sf_legendre_H3d_array().
Definition: sf_legendre.hpp:704
gsl::sf::legendre::array_e
int array_e(legendre_t const norm, size_t const lmax, double const x, double const csphase, DATA &result_array)
C++ version of gsl_sf_legendre_array_e().
Definition: sf_legendre.hpp:760
gsl::sf::legendre::deriv2_array_e
int deriv2_array_e(legendre_t const norm, size_t const lmax, double const x, double const csphase, DATA &result_array, DATA &result_deriv_array, DATA &result_deriv2_array)
C++ version of gsl_sf_legendre_deriv2_array_e().
Definition: sf_legendre.hpp:963
gsl::sf::legendre::H3d_e
int H3d_e(int const l, double const lambda, double const eta, result &result)
C++ version of gsl_sf_legendre_H3d_e().
Definition: sf_legendre.hpp:662
gsl::sf::legendre::NONE
legendre_t const NONE()
Type.
Definition: sf_legendre.hpp:56
gsl::sf::legendre::array_n
size_t array_n(size_t const lmax)
C++ version of gsl_sf_legendre_array_n().
Definition: sf_legendre.hpp:1051
gsl::sf::legendre::deriv2_alt_array
int deriv2_alt_array(legendre_t const norm, size_t const lmax, double const x, DATA &result_array, DATA &result_deriv_array, DATA &result_deriv2_array)
C++ version of gsl_sf_legendre_deriv2_alt_array().
Definition: sf_legendre.hpp:1000
gsl::sf::legendre::P2_e
int P2_e(double x, result &result)
C++ version of gsl_sf_legendre_P2_e().
Definition: sf_legendre.hpp:147
gsl::sf::legendre::sphPlm_e
int sphPlm_e(int const l, int m, double const x, result &result)
C++ version of gsl_sf_legendre_sphPlm_e().
Definition: sf_legendre.hpp:356
gsl::sf::legendre::H3d_0_e
int H3d_0_e(double const lambda, double const eta, result &result)
C++ version of gsl_sf_legendre_H3d_0_e().
Definition: sf_legendre.hpp:589
gsl::sf::legendre::array
int array(legendre_t const norm, size_t const lmax, double const x, DATA &result_array)
C++ version of gsl_sf_legendre_array().
Definition: sf_legendre.hpp:731
gsl::sf::legendre::deriv_array
int deriv_array(legendre_t const norm, size_t const lmax, double const x, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_deriv_array().
Definition: sf_legendre.hpp:789
gsl::sf::legendre::Q1
double Q1(double const x)
C++ version of gsl_sf_legendre_Q1().
Definition: sf_legendre.hpp:210
gsl::sf::legendre::deriv_array_e
int deriv_array_e(legendre_t const norm, size_t const lmax, double const x, double const csphase, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_deriv_array_e().
Definition: sf_legendre.hpp:823
gsl::sf::legendre::FULL
legendre_t const FULL()
Type.
Definition: sf_legendre.hpp:51
gsl::sf::legendre::deriv_alt_array
int deriv_alt_array(legendre_t const norm, size_t const lmax, double const x, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_deriv_alt_array().
Definition: sf_legendre.hpp:855
gsl::sf::legendre::P1_e
int P1_e(double x, result &result)
C++ version of gsl_sf_legendre_P1_e().
Definition: sf_legendre.hpp:138
gsl::sf::legendre::deriv_alt_array_e
int deriv_alt_array_e(legendre_t const norm, size_t const lmax, double const x, double const csphase, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_deriv_alt_array_e().
Definition: sf_legendre.hpp:889
gsl::sf::legendre::Plm
double Plm(int const l, int const m, double const x)
C++ version of gsl_sf_legendre_Plm().
Definition: sf_legendre.hpp:274
gsl::sf::legendre::nlm
size_t nlm(size_t const lmax)
C++ version of gsl_sf_legendre_nlm().
Definition: sf_legendre.hpp:1065
gsl::sf::legendre::P3
double P3(double const x)
C++ version of gsl_sf_legendre_P3().
Definition: sf_legendre.hpp:178
gsl::sf::legendre::Plm_deriv_array
int Plm_deriv_array(int const lmax, int const m, double const x, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_Plm_deriv_array().
Definition: sf_legendre.hpp:333
gsl::sf::legendre::Plm_array
int Plm_array(int const lmax, int const m, double const x, DATA &result_array)
C++ version of gsl_sf_legendre_Plm_array().
Definition: sf_legendre.hpp:301
gsl::sf::legendre::P2
double P2(double const x)
C++ version of gsl_sf_legendre_P2().
Definition: sf_legendre.hpp:171
gsl::sf::legendre::H3d_0
double H3d_0(double const lambda, double const eta)
C++ version of gsl_sf_legendre_H3d_0().
Definition: sf_legendre.hpp:606
gsl::sf::legendre::deriv2_alt_array_e
int deriv2_alt_array_e(legendre_t const norm, size_t const lmax, double const x, double const csphase, DATA &result_array, DATA &result_deriv_array, DATA &result_deriv2_array)
C++ version of gsl_sf_legendre_deriv2_alt_array_e().
Definition: sf_legendre.hpp:1037
gsl::sf::legendre::H3d
double H3d(int const l, double const lambda, double const eta)
C++ version of gsl_sf_legendre_H3d().
Definition: sf_legendre.hpp:678
gsl::sf::legendre::Pl_deriv_array
int Pl_deriv_array(int const lmax, double const x, DATA &result_array, DATA &result_deriv_array)
C++ version of gsl_sf_legendre_Pl_deriv_array().
Definition: sf_legendre.hpp:125
gsl::sf::legendre::Pl_array
int Pl_array(int const lmax, double const x, DATA &result_array)
C++ version of gsl_sf_legendre_Pl_array().
Definition: sf_legendre.hpp:97
gsl::sf::legendre::Pl
double Pl(int const l, double const x)
C++ version of gsl_sf_legendre_Pl().
Definition: sf_legendre.hpp:74
gsl::sf::legendre::P3_e
int P3_e(double x, result &result)
C++ version of gsl_sf_legendre_P3_e().
Definition: sf_legendre.hpp:156
gsl::sf::legendre::Q1_e
int Q1_e(double const x, result &result)
C++ version of gsl_sf_legendre_Q1_e().
Definition: sf_legendre.hpp:202
gsl::sf::legendre::Plm_e
int Plm_e(int const l, int const m, double const x, result &result)
C++ version of gsl_sf_legendre_Plm_e().
Definition: sf_legendre.hpp:251
gsl::sf::conicalP_cyl_reg
double conicalP_cyl_reg(int const m, double const lambda, double const x)
C++ version of gsl_sf_conicalP_cyl_reg().
Definition: sf_legendre.hpp:570
gsl::sf::conicalP_0_e
int conicalP_0_e(double const lambda, double const x, result &result)
C++ version of gsl_sf_conicalP_0_e().
Definition: sf_legendre.hpp:479
gsl::sf::eta
double eta(double const s)
C++ version of gsl_sf_eta().
Definition: sf_zeta.hpp:181
gsl::sf::conicalP_sph_reg_e
int conicalP_sph_reg_e(int const l, double const lambda, double const x, result &result)
C++ version of gsl_sf_conicalP_sph_reg_e().
Definition: sf_legendre.hpp:530
gsl::sf::conicalP_1_e
int conicalP_1_e(double const lambda, double const x, result &result)
C++ version of gsl_sf_conicalP_1_e().
Definition: sf_legendre.hpp:504
gsl::sf::conicalP_half_e
int conicalP_half_e(double const lambda, double const x, result &result)
Definition: sf_legendre.hpp:429
gsl::sf::conicalP_half
double conicalP_half(double const lambda, double const x)
C++ version of gsl_sf_conicalP_half().
Definition: sf_legendre.hpp:441
gsl::sf::conicalP_mhalf
double conicalP_mhalf(double const lambda, double const x)
C++ version of gsl_sf_conicalP_mhalf().
Definition: sf_legendre.hpp:466
gsl::sf::conicalP_cyl_reg_e
int conicalP_cyl_reg_e(int const m, double const lambda, double const x, result &result)
C++ version of gsl_sf_conicalP_cyl_reg_e().
Definition: sf_legendre.hpp:557
gsl::sf::conicalP_mhalf_e
int conicalP_mhalf_e(double const lambda, double const x, result &result)
C++ version of gsl_sf_conicalP_mhalf_e().
Definition: sf_legendre.hpp:454
gsl::sf::conicalP_1
double conicalP_1(double const lambda, double const x)
C++ version of gsl_sf_conicalP_1().
Definition: sf_legendre.hpp:516
gsl::sf::conicalP_0
double conicalP_0(double const lambda, double const x)
C++ version of gsl_sf_conicalP_0().
Definition: sf_legendre.hpp:491
gsl::sf::conicalP_sph_reg
double conicalP_sph_reg(int const l, double const lambda, double const x)
C++ version of gsl_sf_conicalP_sph_reg().
Definition: sf_legendre.hpp:543
gsl::sf::result
gsl_sf_result result
Typedef for gsl_sf_result.
Definition: sf_result.hpp:30
gsl
The gsl package creates an interface to the GNU Scientific Library for C++.
Definition: blas.hpp:34
sf_result.hpp