SF.i

   1 %module SF
   2 %{
   3     #include "gsl/gsl_mode.h"
   4     #include "gsl/gsl_sf.h"
   5     #include "gsl/gsl_sf_airy.h"
   6     #include "gsl/gsl_sf_bessel.h"
   7     #include "gsl/gsl_sf_clausen.h"
   8     #include "gsl/gsl_sf_coulomb.h"
   9     #include "gsl/gsl_sf_coupling.h"
  10     #include "gsl/gsl_sf_dawson.h"
  11     #include "gsl/gsl_sf_debye.h"
  12     #include "gsl/gsl_sf_dilog.h"
  13     #include "gsl/gsl_sf_elementary.h"
  14     #include "gsl/gsl_sf_ellint.h"
  15     #include "gsl/gsl_sf_elljac.h"
  16     #include "gsl/gsl_sf_erf.h"
  17     #include "gsl/gsl_sf_exp.h"
  18     #include "gsl/gsl_sf_expint.h"
  19     #include "gsl/gsl_sf_fermi_dirac.h"
  20     #include "gsl/gsl_sf_gamma.h"
  21     #include "gsl/gsl_sf_gegenbauer.h"
  22     #include "gsl/gsl_sf_hyperg.h"
  23     #include "gsl/gsl_sf_laguerre.h"
  24     #include "gsl/gsl_sf_lambert.h"
  25     #include "gsl/gsl_sf_legendre.h"
  26     #include "gsl/gsl_sf_log.h"
  27     #include "gsl/gsl_sf_mathieu.h"
  28     #include "gsl/gsl_sf_pow_int.h"
  29     #include "gsl/gsl_sf_psi.h"
  30     #include "gsl/gsl_sf_result.h"
  31     #include "gsl/gsl_sf_synchrotron.h"
  32     #include "gsl/gsl_sf_transport.h"
  33     #include "gsl/gsl_sf_trig.h"
  34     #include "gsl/gsl_sf_zeta.h"
  35 %}
  36 //%import "gsl/gsl_types.h"
  37
  38 %include "gsl/gsl_mode.h"
  39 %include "gsl/gsl_sf.h"
  40 %include "gsl/gsl_sf_airy.h"
  41 %include "gsl/gsl_sf_bessel.h"
  42 %include "gsl/gsl_sf_clausen.h"
  43 %include "gsl/gsl_sf_coulomb.h"
  44 %include "gsl/gsl_sf_coupling.h"
  45 %include "gsl/gsl_sf_dawson.h"
  46 %include "gsl/gsl_sf_debye.h"
  47 %include "gsl/gsl_sf_dilog.h"
  48 %include "gsl/gsl_sf_elementary.h"
  49 %include "gsl/gsl_sf_ellint.h"
  50 %include "gsl/gsl_sf_elljac.h"
  51 %include "gsl/gsl_sf_erf.h"
  52 %include "gsl/gsl_sf_exp.h"
  53 %include "gsl/gsl_sf_expint.h"
  54 %include "gsl/gsl_sf_fermi_dirac.h"
  55 %include "gsl/gsl_sf_gamma.h"
  56 %include "gsl/gsl_sf_gegenbauer.h"
  57 %include "gsl/gsl_sf_hyperg.h"
  58 %include "gsl/gsl_sf_laguerre.h"
  59 %include "gsl/gsl_sf_lambert.h"
  60 %include "gsl/gsl_sf_legendre.h"
  61 %include "gsl/gsl_sf_log.h"
  62 %include "gsl/gsl_sf_mathieu.h"
  63 %include "gsl/gsl_sf_pow_int.h"
  64 %include "gsl/gsl_sf_psi.h"
  65 %include "gsl/gsl_sf_result.h"
  66 %include "gsl/gsl_sf_synchrotron.h"
  67 %include "gsl/gsl_sf_transport.h"
  68 %include "gsl/gsl_sf_trig.h"
  69 %include "gsl/gsl_sf_zeta.h"
  70
  71 %include "typemaps.i"
  72
  73 %perlcode %{
  74
  75 @EXPORT_airy = qw/
  76                gsl_sf_airy_Ai_e
  77                gsl_sf_airy_Ai
  78                gsl_sf_airy_Bi_e
  79                gsl_sf_airy_Bi
  80                gsl_sf_airy_Ai_scaled_e
  81                gsl_sf_airy_Ai_scaled
  82                gsl_sf_airy_Bi_scaled_e
  83                gsl_sf_airy_Bi_scaled
  84                gsl_sf_airy_Ai_deriv_e
  85                gsl_sf_airy_Ai_deriv
  86                gsl_sf_airy_Bi_deriv_e
  87                gsl_sf_airy_Bi_deriv
  88                gsl_sf_airy_Ai_deriv_scaled_e
  89                gsl_sf_airy_Ai_deriv_scaled
  90                gsl_sf_airy_Bi_deriv_scaled_e
  91                gsl_sf_airy_Bi_deriv_scaled
  92                gsl_sf_airy_zero_Ai_e
  93                gsl_sf_airy_zero_Ai
  94                gsl_sf_airy_zero_Bi_e
  95                gsl_sf_airy_zero_Bi
  96                gsl_sf_airy_zero_Ai_deriv_e
  97                gsl_sf_airy_zero_Ai_deriv
  98                gsl_sf_airy_zero_Bi_deriv_e
  99                gsl_sf_airy_zero_Bi_deriv
 100                /;
 101 @EXPORT_bessel =qw/
 102                gsl_sf_bessel_J0_e
 103                gsl_sf_bessel_J0
 104                gsl_sf_bessel_J1_e
 105                gsl_sf_bessel_J1
 106                gsl_sf_bessel_Jn_e
 107                gsl_sf_bessel_Jn
 108                gsl_sf_bessel_Jn_array
 109                gsl_sf_bessel_Y0_e
 110                gsl_sf_bessel_Y0
 111                gsl_sf_bessel_Y1_e
 112                gsl_sf_bessel_Y1
 113                gsl_sf_bessel_Yn_e
 114                gsl_sf_bessel_Yn
 115                gsl_sf_bessel_Yn_array
 116                gsl_sf_bessel_I0_e
 117                gsl_sf_bessel_I0
 118                gsl_sf_bessel_I1_e
 119                gsl_sf_bessel_I1
 120                gsl_sf_bessel_In_e
 121                gsl_sf_bessel_In
 122                gsl_sf_bessel_In_array
 123                gsl_sf_bessel_I0_scaled_e
 124                gsl_sf_bessel_I0_scaled
 125                gsl_sf_bessel_I1_scaled_e
 126                gsl_sf_bessel_I1_scaled
 127                gsl_sf_bessel_In_scaled_e
 128                gsl_sf_bessel_In_scaled
 129                gsl_sf_bessel_In_scaled_array
 130                gsl_sf_bessel_K0_e
 131                gsl_sf_bessel_K0
 132                gsl_sf_bessel_K1_e
 133                gsl_sf_bessel_K1
 134                gsl_sf_bessel_Kn_e
 135                gsl_sf_bessel_Kn
 136                gsl_sf_bessel_Kn_array
 137                gsl_sf_bessel_K0_scaled_e
 138                gsl_sf_bessel_K0_scaled
 139                gsl_sf_bessel_K1_scaled_e
 140                gsl_sf_bessel_K1_scaled
 141                gsl_sf_bessel_Kn_scaled_e
 142                gsl_sf_bessel_Kn_scaled
 143                gsl_sf_bessel_Kn_scaled_array
 144                gsl_sf_bessel_j0_e
 145                gsl_sf_bessel_j0
 146                gsl_sf_bessel_j1_e
 147                gsl_sf_bessel_j1
 148                gsl_sf_bessel_j2_e
 149                gsl_sf_bessel_j2
 150                gsl_sf_bessel_jl_e
 151                gsl_sf_bessel_jl
 152                gsl_sf_bessel_jl_array
 153                gsl_sf_bessel_jl_steed_array
 154                gsl_sf_bessel_y0_e
 155                gsl_sf_bessel_y0
 156                gsl_sf_bessel_y1_e
 157                gsl_sf_bessel_y1
 158                gsl_sf_bessel_y2_e
 159                gsl_sf_bessel_y2
 160                gsl_sf_bessel_yl_e
 161                gsl_sf_bessel_yl
 162                gsl_sf_bessel_yl_array
 163                gsl_sf_bessel_i0_scaled_e
 164                gsl_sf_bessel_i0_scaled
 165                gsl_sf_bessel_i1_scaled_e
 166                gsl_sf_bessel_i1_scaled
 167                gsl_sf_bessel_i2_scaled_e
 168                gsl_sf_bessel_i2_scaled
 169                gsl_sf_bessel_il_scaled_e
 170                gsl_sf_bessel_il_scaled
 171                gsl_sf_bessel_il_scaled_array
 172                gsl_sf_bessel_k0_scaled_e
 173                gsl_sf_bessel_k0_scaled
 174                gsl_sf_bessel_k1_scaled_e
 175                gsl_sf_bessel_k1_scaled
 176                gsl_sf_bessel_k2_scaled_e
 177                gsl_sf_bessel_k2_scaled
 178                gsl_sf_bessel_kl_scaled_e
 179                gsl_sf_bessel_kl_scaled
 180                gsl_sf_bessel_kl_scaled_array
 181                gsl_sf_bessel_Jnu_e
 182                gsl_sf_bessel_Jnu
 183                gsl_sf_bessel_Ynu_e
 184                gsl_sf_bessel_Ynu
 185                gsl_sf_bessel_sequence_Jnu_e
 186                gsl_sf_bessel_Inu_scaled_e
 187                gsl_sf_bessel_Inu_scaled
 188                gsl_sf_bessel_Inu_e
 189                gsl_sf_bessel_Inu
 190                gsl_sf_bessel_Knu_scaled_e
 191                gsl_sf_bessel_Knu_scaled
 192                gsl_sf_bessel_Knu_e
 193                gsl_sf_bessel_Knu
 194                gsl_sf_bessel_lnKnu_e
 195                gsl_sf_bessel_lnKnu
 196                gsl_sf_bessel_zero_J0_e
 197                gsl_sf_bessel_zero_J0
 198                gsl_sf_bessel_zero_J1_e
 199                gsl_sf_bessel_zero_J1
 200                gsl_sf_bessel_zero_Jnu_e
 201                gsl_sf_bessel_zero_Jnu
 202                /;
 203 @EXPORT_clausen = qw/
 204                gsl_sf_clausen_e
 205                gsl_sf_clausen
 206                /;
 207 @EXPORT_hydrogenic =  qw/
 208                gsl_sf_hydrogenicR_1_e
 209                gsl_sf_hydrogenicR_1
 210                gsl_sf_hydrogenicR_e
 211                gsl_sf_hydrogenicR
 212                /;
 213 @EXPORT_coulumb = qw/
 214                gsl_sf_coulomb_wave_FG_e
 215                gsl_sf_coulomb_wave_F_array
 216                gsl_sf_coulomb_wave_FG_array
 217                gsl_sf_coulomb_wave_FGp_array
 218                gsl_sf_coulomb_wave_sphF_array
 219                gsl_sf_coulomb_CL_e
 220                gsl_sf_coulomb_CL_array
 221                /;
 222 @EXPORT_coupling = qw/
 223                gsl_sf_coupling_3j_e
 224                gsl_sf_coupling_3j
 225                gsl_sf_coupling_6j_e
 226                gsl_sf_coupling_6j
 227                gsl_sf_coupling_RacahW_e
 228                gsl_sf_coupling_RacahW
 229                gsl_sf_coupling_9j_e
 230                gsl_sf_coupling_9j
 231                gsl_sf_coupling_6j_INCORRECT_e
 232                gsl_sf_coupling_6j_INCORRECT
 233                /;
 234 @EXPORT_dawson = qw/
 235                gsl_sf_dawson_e
 236                gsl_sf_dawson
 237                /;
 238 @EXPORT_debye = qw/
 239                gsl_sf_debye_1_e
 240                gsl_sf_debye_1
 241                gsl_sf_debye_2_e
 242                gsl_sf_debye_2
 243                gsl_sf_debye_3_e
 244                gsl_sf_debye_3
 245                gsl_sf_debye_4_e
 246                gsl_sf_debye_4
 247                gsl_sf_debye_5_e
 248                gsl_sf_debye_5
 249                gsl_sf_debye_6_e
 250                gsl_sf_debye_6
 251                /;
 252 @EXPORT_dilog = qw/
 253                gsl_sf_dilog_e
 254                gsl_sf_dilog
 255                gsl_sf_complex_dilog_xy_e
 256                gsl_sf_complex_dilog_e
 257                /;
 258
 259 @EXPORT_misc = qw/
 260                gsl_sf_complex_spence_xy_e
 261                gsl_sf_multiply_e
 262                gsl_sf_multiply
 263                gsl_sf_multiply_err_e
 264                /;
 265 @EXPORT_elliptic = qw/
 266                gsl_sf_ellint_Kcomp_e
 267                gsl_sf_ellint_Kcomp
 268                gsl_sf_ellint_Ecomp_e
 269                gsl_sf_ellint_Ecomp
 270                gsl_sf_ellint_Pcomp_e
 271                gsl_sf_ellint_Pcomp
 272                gsl_sf_ellint_Dcomp_e
 273                gsl_sf_ellint_Dcomp
 274                gsl_sf_ellint_F_e
 275                gsl_sf_ellint_F
 276                gsl_sf_ellint_E_e
 277                gsl_sf_ellint_E
 278                gsl_sf_ellint_P_e
 279                gsl_sf_ellint_P
 280                gsl_sf_ellint_D_e
 281                gsl_sf_ellint_D
 282                gsl_sf_ellint_RC_e
 283                gsl_sf_ellint_RC
 284                gsl_sf_ellint_RD_e
 285                gsl_sf_ellint_RD
 286                gsl_sf_ellint_RF_e
 287                gsl_sf_ellint_RF
 288                gsl_sf_ellint_RJ_e
 289                gsl_sf_ellint_RJ
 290                gsl_sf_elljac_e
 291                /;
 292 @EXPORT_error = qw/
 293                gsl_sf_erfc_e
 294                gsl_sf_erfc
 295                gsl_sf_log_erfc_e
 296                gsl_sf_log_erfc
 297                gsl_sf_erf_e
 298                gsl_sf_erf
 299                gsl_sf_erf_Z_e
 300                gsl_sf_erf_Q_e
 301                gsl_sf_erf_Z
 302                gsl_sf_erf_Q
 303                gsl_sf_hazard_e
 304                gsl_sf_hazard
 305                /;
 306 push @EXPORT_misc, qw/
 307                gsl_sf_exp_e
 308                gsl_sf_exp
 309                gsl_sf_exp_e10_e
 310                gsl_sf_exp_mult_e
 311                gsl_sf_exp_mult
 312                gsl_sf_exp_mult_e10_e
 313                gsl_sf_expm1_e
 314                gsl_sf_expm1
 315                gsl_sf_exprel_e
 316                gsl_sf_exprel
 317                gsl_sf_exprel_2_e
 318                gsl_sf_exprel_2
 319                gsl_sf_exprel_n_e
 320                gsl_sf_exprel_n
 321                gsl_sf_exp_err_e
 322                gsl_sf_exp_err_e10_e
 323                gsl_sf_exp_mult_err_e
 324                gsl_sf_exp_mult_err_e10_e
 325                gsl_sf_expint_E1_e
 326                gsl_sf_expint_E1
 327                gsl_sf_expint_E2_e
 328                gsl_sf_expint_E2
 329                gsl_sf_expint_En_e
 330                gsl_sf_expint_En
 331                gsl_sf_expint_E1_scaled_e
 332                gsl_sf_expint_E1_scaled
 333                gsl_sf_expint_E2_scaled_e
 334                gsl_sf_expint_E2_scaled
 335                gsl_sf_expint_En_scaled_e
 336                gsl_sf_expint_En_scaled
 337                gsl_sf_expint_Ei_e
 338                gsl_sf_expint_Ei
 339                gsl_sf_expint_Ei_scaled_e
 340                gsl_sf_expint_Ei_scaled
 341                gsl_sf_Shi_e
 342                gsl_sf_Shi
 343                gsl_sf_Chi_e
 344                gsl_sf_Chi
 345                gsl_sf_expint_3_e
 346                gsl_sf_expint_3
 347                gsl_sf_Si_e
 348                gsl_sf_Si
 349                gsl_sf_Ci_e
 350                gsl_sf_Ci
 351                /;
 352 @EXPORT_fermi_dirac = qw/
 353                gsl_sf_fermi_dirac_m1_e
 354                gsl_sf_fermi_dirac_m1
 355                gsl_sf_fermi_dirac_0_e
 356                gsl_sf_fermi_dirac_0
 357                gsl_sf_fermi_dirac_1_e
 358                gsl_sf_fermi_dirac_1
 359                gsl_sf_fermi_dirac_2_e
 360                gsl_sf_fermi_dirac_2
 361                gsl_sf_fermi_dirac_int_e
 362                gsl_sf_fermi_dirac_int
 363                gsl_sf_fermi_dirac_mhalf_e
 364                gsl_sf_fermi_dirac_mhalf
 365                gsl_sf_fermi_dirac_half_e
 366                gsl_sf_fermi_dirac_half
 367                gsl_sf_fermi_dirac_3half_e
 368                gsl_sf_fermi_dirac_3half
 369                gsl_sf_fermi_dirac_inc_0_e
 370                gsl_sf_fermi_dirac_inc_0
 371                /;
 372 @EXPORT_legendre = qw/
 373                gsl_sf_legendre_Pl_e
 374                gsl_sf_legendre_Pl
 375                gsl_sf_legendre_Pl_array
 376                gsl_sf_legendre_Pl_deriv_array
 377                gsl_sf_legendre_P1_e
 378                gsl_sf_legendre_P2_e
 379                gsl_sf_legendre_P3_e
 380                gsl_sf_legendre_P1
 381                gsl_sf_legendre_P2
 382                gsl_sf_legendre_P3
 383                gsl_sf_legendre_Q0_e
 384                gsl_sf_legendre_Q0
 385                gsl_sf_legendre_Q1_e
 386                gsl_sf_legendre_Q1
 387                gsl_sf_legendre_Ql_e
 388                gsl_sf_legendre_Ql
 389                gsl_sf_legendre_Plm_e
 390                gsl_sf_legendre_Plm
 391                gsl_sf_legendre_Plm_array
 392                gsl_sf_legendre_Plm_deriv_array
 393                gsl_sf_legendre_sphPlm_e
 394                gsl_sf_legendre_sphPlm
 395                gsl_sf_legendre_sphPlm_array
 396                gsl_sf_legendre_sphPlm_deriv_array
 397                gsl_sf_legendre_array_size
 398                gsl_sf_legendre_H3d_0_e
 399                gsl_sf_legendre_H3d_0
 400                gsl_sf_legendre_H3d_1_e
 401                gsl_sf_legendre_H3d_1
 402                gsl_sf_legendre_H3d_e
 403                gsl_sf_legendre_H3d
 404                gsl_sf_legendre_H3d_array
 405                /;
 406 @EXPORT_gamma = qw/
 407                gsl_sf_lngamma_e
 408                gsl_sf_lngamma
 409                gsl_sf_lngamma_sgn_e
 410                gsl_sf_gamma_e
 411                gsl_sf_gamma
 412                gsl_sf_gammastar_e
 413                gsl_sf_gammastar
 414                gsl_sf_gammainv_e
 415                gsl_sf_gammainv
 416                gsl_sf_lngamma_complex_e
 417                gsl_sf_gamma_inc_Q_e
 418                gsl_sf_gamma_inc_Q
 419                gsl_sf_gamma_inc_P_e
 420                gsl_sf_gamma_inc_P
 421                gsl_sf_gamma_inc_e
 422                gsl_sf_gamma_inc
 423                /;
 424 @EXPORT_factorial = qw/
 425                gsl_sf_fact_e
 426                gsl_sf_fact
 427                gsl_sf_doublefact_e
 428                gsl_sf_doublefact
 429                gsl_sf_lnfact_e
 430                gsl_sf_lnfact
 431                gsl_sf_lndoublefact_e
 432                gsl_sf_lndoublefact
 433                /;
 434 @EXPORT_hypergeometric = qw/
 435                gsl_sf_hyperg_0F1_e
 436                gsl_sf_hyperg_0F1
 437                gsl_sf_hyperg_1F1_int_e
 438                gsl_sf_hyperg_1F1_int
 439                gsl_sf_hyperg_1F1_e
 440                gsl_sf_hyperg_1F1
 441                gsl_sf_hyperg_U_int_e
 442                gsl_sf_hyperg_U_int
 443                gsl_sf_hyperg_U_int_e10_e
 444                gsl_sf_hyperg_U_e
 445                gsl_sf_hyperg_U
 446                gsl_sf_hyperg_U_e10_e
 447                gsl_sf_hyperg_2F1_e
 448                gsl_sf_hyperg_2F1
 449                gsl_sf_hyperg_2F1_conj_e
 450                gsl_sf_hyperg_2F1_conj
 451                gsl_sf_hyperg_2F1_renorm_e
 452                gsl_sf_hyperg_2F1_renorm
 453                gsl_sf_hyperg_2F1_conj_renorm_e
 454                gsl_sf_hyperg_2F1_conj_renorm
 455                gsl_sf_hyperg_2F0_e
 456                gsl_sf_hyperg_2F0
 457                /;
 458 @EXPORT_laguerre = qw/
 459                gsl_sf_laguerre_1_e
 460                gsl_sf_laguerre_2_e
 461                gsl_sf_laguerre_3_e
 462                gsl_sf_laguerre_1
 463                gsl_sf_laguerre_2
 464                gsl_sf_laguerre_3
 465                gsl_sf_laguerre_n_e
 466                gsl_sf_laguerre_n
 467                /;
 468 push @EXPORT_misc, qw/
 469                gsl_sf_taylorcoeff_e
 470                gsl_sf_taylorcoeff
 471                gsl_sf_lnchoose_e
 472                gsl_sf_lnchoose
 473                gsl_sf_choose_e
 474                gsl_sf_choose
 475                gsl_sf_lnpoch_e
 476                gsl_sf_lnpoch
 477                gsl_sf_lnpoch_sgn_e
 478                gsl_sf_poch_e
 479                gsl_sf_poch
 480                gsl_sf_pochrel_e
 481                gsl_sf_pochrel
 482                gsl_sf_lnbeta_e
 483                gsl_sf_lnbeta
 484                gsl_sf_lnbeta_sgn_e
 485                gsl_sf_beta_e
 486                gsl_sf_beta
 487                gsl_sf_beta_inc_e
 488                gsl_sf_beta_inc
 489                gsl_sf_gegenpoly_1_e
 490                gsl_sf_gegenpoly_2_e
 491                gsl_sf_gegenpoly_3_e
 492                gsl_sf_gegenpoly_1
 493                gsl_sf_gegenpoly_2
 494                gsl_sf_gegenpoly_3
 495                gsl_sf_gegenpoly_n_e
 496                gsl_sf_gegenpoly_n
 497                gsl_sf_gegenpoly_array
 498                gsl_sf_lambert_W0_e
 499                gsl_sf_lambert_W0
 500                gsl_sf_lambert_Wm1_e
 501                gsl_sf_lambert_Wm1
 502                gsl_sf_conicalP_half_e
 503                gsl_sf_conicalP_half
 504                gsl_sf_conicalP_mhalf_e
 505                gsl_sf_conicalP_mhalf
 506                gsl_sf_conicalP_0_e
 507                gsl_sf_conicalP_0
 508                gsl_sf_conicalP_1_e
 509                gsl_sf_conicalP_1
 510                gsl_sf_conicalP_sph_reg_e
 511                gsl_sf_conicalP_sph_reg
 512                gsl_sf_conicalP_cyl_reg_e
 513                gsl_sf_conicalP_cyl_reg
 514                gsl_sf_log_e
 515                gsl_sf_log
 516                gsl_sf_log_abs_e
 517                gsl_sf_log_abs
 518                gsl_sf_complex_log_e
 519                gsl_sf_log_1plusx_e
 520                gsl_sf_log_1plusx
 521                gsl_sf_log_1plusx_mx_e
 522                gsl_sf_log_1plusx_mx
 523                gsl_sf_pow_int_e
 524                gsl_sf_pow_int
 525                gsl_sf_psi_int_e
 526                gsl_sf_psi_int
 527                gsl_sf_psi_e
 528                gsl_sf_psi
 529                gsl_sf_psi_1piy_e
 530                gsl_sf_psi_1piy
 531                gsl_sf_complex_psi_e
 532                gsl_sf_psi_1_int_e
 533                gsl_sf_psi_1_int
 534                gsl_sf_psi_1_e
 535                gsl_sf_psi_1
 536                gsl_sf_psi_n_e
 537                gsl_sf_psi_n
 538                gsl_sf_result_smash_e
 539                gsl_sf_synchrotron_1_e
 540                gsl_sf_synchrotron_1
 541                gsl_sf_synchrotron_2_e
 542                gsl_sf_synchrotron_2
 543                /;
 544 @EXPORT_mathieu = qw/
 545                gsl_sf_mathieu_a_array
 546                gsl_sf_mathieu_b_array
 547                gsl_sf_mathieu_a
 548                gsl_sf_mathieu_b
 549                gsl_sf_mathieu_a_coeff
 550                gsl_sf_mathieu_b_coeff
 551                gsl_sf_mathieu_alloc
 552                gsl_sf_mathieu_free
 553                gsl_sf_mathieu_ce
 554                gsl_sf_mathieu_se
 555                gsl_sf_mathieu_ce_array
 556                gsl_sf_mathieu_se_array
 557                gsl_sf_mathieu_Mc
 558                gsl_sf_mathieu_Ms
 559                gsl_sf_mathieu_Mc_array
 560                gsl_sf_mathieu_Ms_array
 561                /;
 562 @EXPORT_transport = qw/
 563                gsl_sf_transport_2_e
 564                gsl_sf_transport_2
 565                gsl_sf_transport_3_e
 566                gsl_sf_transport_3
 567                gsl_sf_transport_4_e
 568                gsl_sf_transport_4
 569                gsl_sf_transport_5_e
 570                gsl_sf_transport_5
 571                /;
 572 @EXPORT_trig = qw/
 573                gsl_sf_sin_e
 574                gsl_sf_sin
 575                gsl_sf_sin_pi_x_e
 576                gsl_sf_cos_e
 577                gsl_sf_cos_pi_x_e
 578                gsl_sf_cos
 579                gsl_sf_hypot_e
 580                gsl_sf_hypot
 581                gsl_sf_complex_sin_e
 582                gsl_sf_complex_cos_e
 583                gsl_sf_complex_logsin_e
 584                gsl_sf_sinc_e
 585                gsl_sf_sinc
 586                gsl_sf_lnsinh_e
 587                gsl_sf_lnsinh
 588                gsl_sf_lncosh_e
 589                gsl_sf_lncosh
 590                gsl_sf_polar_to_rect
 591                gsl_sf_rect_to_polar
 592                gsl_sf_sin_err_e
 593                gsl_sf_cos_err_e
 594                gsl_sf_angle_restrict_symm_e
 595                gsl_sf_angle_restrict_symm
 596                gsl_sf_angle_restrict_pos_e
 597                gsl_sf_angle_restrict_pos
 598                gsl_sf_angle_restrict_symm_err_e
 599                gsl_sf_angle_restrict_pos_err_e
 600                gsl_sf_atanint_e
 601                gsl_sf_atanint
 602                /;
 603 @EXPORT_zeta = qw/
 604                gsl_sf_zeta_int_e
 605                gsl_sf_zeta_int
 606                gsl_sf_zeta_e
 607                gsl_sf_zeta
 608                gsl_sf_zetam1_e
 609                gsl_sf_zetam1
 610                gsl_sf_zetam1_int_e
 611                gsl_sf_zetam1_int
 612                gsl_sf_hzeta_e
 613                gsl_sf_hzeta
 614                /;
 615 @EXPORT_eta = qw/
 616                gsl_sf_eta_int_e
 617                gsl_sf_eta_int
 618                gsl_sf_eta_e
 619                gsl_sf_eta
 620                /;
 621 @EXPORT_vars = qw/
 622                GSL_SF_GAMMA_XMAX
 623                GSL_SF_FACT_NMAX
 624                GSL_SF_DOUBLEFACT_NMAX
 625                GSL_SF_MATHIEU_COEFF
 626                /;
 627
 628 @EXPORT_OK = (
 629                @EXPORT_airy, @EXPORT_bessel, @EXPORT_clausen, @EXPORT_hydrogenic,
 630                @EXPORT_coulumb, @EXPORT_coupling, @EXPORT_dawson, @EXPORT_debye,
 631                @EXPORT_dilog, @EXPORT_misc, @EXPORT_elliptic, @EXPORT_error, @EXPORT_legendre,
 632                @EXPORT_gamma, @EXPORT_transport, @EXPORT_trig, @EXPORT_zeta, @EXPORT_eta,
 633                @EXPORT_vars
 634              );
 635
 636 %EXPORT_TAGS = (
 637                  all            => [ @EXPORT_OK ],
 638                  airy           => [ @EXPORT_airy ],
 639                  bessel         => [ @EXPORT_bessel ],
 640                  clausen        => [ @EXPORT_clausen ],
 641                  coulumb        => [ @EXPORT_coulumb ],
 642                  coupling       => [ @EXPORT_coupling ],
 643                  dawson         => [ @EXPORT_dawson ],
 644                  debye          => [ @EXPORT_debye ],
 645                  dilog          => [ @EXPORT_dilog ],
 646                  eta            => [ @EXPORT_eta ],
 647                  elliptic       => [ @EXPORT_elliptic ],
 648                  error          => [ @EXPORT_error ],
 649                  factorial      => [ @EXPORT_factorial ],
 650                  gamma          => [ @EXPORT_gamma ],
 651                  hydrogenic     => [ @EXPORT_hydrogenic ],
 652                  hypergeometric => [ @EXPORT_hypergeometric ],
 653                  laguerre       => [ @EXPORT_laguerre ],
 654                  legendre       => [ @EXPORT_legendre ],
 655                  mathieu        => [ @EXPORT_mathieu ],
 656                  misc           => [ @EXPORT_misc ],
 657                  transport      => [ @EXPORT_transport ],
 658                  trig           => [ @EXPORT_trig ],
 659                  vars           => [ @EXPORT_vars ],
 660                  zeta           => [ @EXPORT_zeta ],
 661                 );
 662
 663 __END__
 664
 665 =head1 NAME
 666
 667 Math::GSL::SF - Special Functions
 668
 669 =head1 SYNOPSIS
 670
 671 use Math::GSL::SF qw /:all/;
 672
 673 =head1 DESCRIPTION
 674
 675 This module contains a data structure named gsl_sf_result. To create a new one use
 676 $r = Math::GSL::SF::gsl_sf_result_struct->new;
 677 You can then access the elements of the structure in this way :
 678 $r->{val}
 679 or
 680 $r->{err}
 681
 682 Here is a list of all included functions:
 683
 684 =over
 685
 686 =item C<gsl_sf_airy_Ai_e($x, $mode)>
 687
 688 =item C<gsl_sf_airy_Ai($x, $mode, $result)>
 689
 690 - These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 691
 692 =back
 693
 694 =over
 695
 696 =item C<gsl_sf_airy_Bi_e($x, $mode, $result)>
 697
 698 =item C<gsl_sf_airy_Bi($x, $mode)>
 699
 700 - These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 701
 702 =back
 703
 704 =over
 705
 706 =item C<gsl_sf_airy_Ai_scaled_e($x, $mode, $result)>
 707
 708 =item C<gsl_sf_airy_Ai_scaled($x, $mode)>
 709
 710 - These routines compute a scaled version of the Airy function S_A($x) Ai($x). For $x>0 the scaling factor S_A($x) is \exp(+(2/3) $x**(3/2)), and is 1 for $x<0.
 711
 712 =back
 713
 714 =over
 715
 716 =item C<gsl_sf_airy_Bi_scaled_e($x, $mode, $result)>
 717
 718 =item C<gsl_sf_airy_Bi_scaled($x, $mode)>
 719
 720 - These routines compute a scaled version of the Airy function S_B($x) Bi($x). For $x>0 the scaling factor S_B($x) is exp(-(2/3) $x**(3/2)), and is 1 for $x<0.
 721
 722 =back
 723
 724 =over
 725
 726 =item C<gsl_sf_airy_Ai_deriv_e >
 727
 728 =item C<gsl_sf_airy_Ai_deriv>
 729
 730 =item C<gsl_sf_airy_Bi_deriv_e>
 731
 732 =item C<gsl_sf_airy_Bi_deriv >
 733
 734 =item C<gsl_sf_airy_Ai_deriv_scaled_e>
 735
 736 =item C<gsl_sf_airy_Ai_deriv_scaled>
 737
 738 =item C<gsl_sf_airy_Bi_deriv_scaled_e>
 739
 740 =item C<gsl_sf_airy_Bi_deriv_scaled>
 741
 742 =item C<gsl_sf_airy_zero_Ai_e>
 743
 744 =item C<gsl_sf_airy_zero_Ai>
 745
 746 =item C<gsl_sf_airy_zero_Bi_e>
 747
 748 =item C<gsl_sf_airy_zero_Bi>
 749
 750 =item C<gsl_sf_airy_zero_Ai_deriv_e>
 751
 752 =item C<gsl_sf_airy_zero_Ai_deriv>
 753
 754 =item C<gsl_sf_airy_zero_Bi_deriv_e>
 755
 756 =item C<gsl_sf_airy_zero_Bi_deriv>
 757
 758 =item C<gsl_sf_bessel_J0_e>
 759
 760 =item C<gsl_sf_bessel_J0>
 761
 762 =item C<gsl_sf_bessel_J1_e>
 763
 764 =item C<gsl_sf_bessel_J1>
 765
 766 =item C<gsl_sf_bessel_Jn_e>
 767
 768 =item C<gsl_sf_bessel_Jn>
 769
 770 =item C<gsl_sf_bessel_Jn_array>
 771
 772 =item C<gsl_sf_bessel_Y0_e>
 773
 774 =item C<gsl_sf_bessel_Y0>
 775
 776 =item C<gsl_sf_bessel_Y1_e>
 777
 778 =item C<gsl_sf_bessel_Y1>
 779
 780 =item C<gsl_sf_bessel_Yn_e>
 781
 782 =item C<gsl_sf_bessel_Yn>
 783
 784 =item C<gsl_sf_bessel_Yn_array>
 785
 786 =item C<gsl_sf_bessel_I0_e >
 787
 788 =item C<gsl_sf_bessel_I0>
 789
 790 =item C<gsl_sf_bessel_I1_e>
 791
 792 =item C<gsl_sf_bessel_I1>
 793
 794 =item C<gsl_sf_bessel_In_e>
 795
 796 =item C<gsl_sf_bessel_In>
 797
 798 =item C<gsl_sf_bessel_In_array>
 799
 800 =item C<gsl_sf_bessel_I0_scaled_e>
 801
 802 =item C<gsl_sf_bessel_I0_scaled>
 803
 804 =item C<gsl_sf_bessel_I1_scaled_e>
 805
 806 =item C<gsl_sf_bessel_I1_scaled>
 807
 808 =item C<gsl_sf_bessel_In_scaled_e>
 809
 810 =item C<gsl_sf_bessel_In_scaled >
 811
 812 =item C<gsl_sf_bessel_In_scaled_array>
 813
 814 =item C<gsl_sf_bessel_K0_e>
 815
 816 =item C<gsl_sf_bessel_K0 >
 817
 818 =item C<gsl_sf_bessel_K1_e>
 819
 820 =item C<gsl_sf_bessel_K1>
 821
 822 =item C<gsl_sf_bessel_Kn_e>
 823
 824 =item C<gsl_sf_bessel_Kn>
 825
 826 =item C<gsl_sf_bessel_Kn_array>
 827
 828 =item C<gsl_sf_bessel_K0_scaled_e >
 829
 830 =item C<gsl_sf_bessel_K0_scaled>
 831
 832 =item C<gsl_sf_bessel_K1_scaled_e>
 833
 834 =item C<gsl_sf_bessel_K1_scaled >
 835
 836 =item C<gsl_sf_bessel_Kn_scaled_e>
 837
 838 =item C<gsl_sf_bessel_Kn_scaled>
 839
 840 =item C<gsl_sf_bessel_Kn_scaled_array >
 841
 842 =item C<gsl_sf_bessel_j0_e>
 843
 844 =item C<gsl_sf_bessel_j0>
 845
 846 =item C<gsl_sf_bessel_j1_e >
 847
 848 =item C<gsl_sf_bessel_j1>
 849
 850 =item C<gsl_sf_bessel_j2_e>
 851
 852 =item C<gsl_sf_bessel_j2>
 853
 854 =item C<gsl_sf_bessel_jl_e>
 855
 856 =item C<gsl_sf_bessel_jl>
 857
 858 =item C<gsl_sf_bessel_jl_array>
 859
 860 =item C<gsl_sf_bessel_jl_steed_array>
 861
 862 =item C<gsl_sf_bessel_y0_e>
 863
 864 =item C<gsl_sf_bessel_y0 >
 865
 866 =item C<gsl_sf_bessel_y1_e>
 867
 868 =item C<gsl_sf_bessel_y1>
 869
 870 =item C<gsl_sf_bessel_y2_e >
 871
 872 =item C<gsl_sf_bessel_y2>
 873
 874 =item C<gsl_sf_bessel_yl_e>
 875
 876 =item C<gsl_sf_bessel_yl >
 877
 878 =item C<gsl_sf_bessel_yl_array>
 879
 880 =item C<gsl_sf_bessel_i0_scaled_e>
 881
 882 =item C<gsl_sf_bessel_i0_scaled>
 883
 884 =item C<gsl_sf_bessel_i1_scaled_e>
 885
 886 =item C<gsl_sf_bessel_i1_scaled>
 887
 888 =item C<gsl_sf_bessel_i2_scaled_e>
 889
 890 =item C<gsl_sf_bessel_i2_scaled>
 891
 892 =item C<gsl_sf_bessel_il_scaled_e>
 893
 894 =item C<gsl_sf_bessel_il_scaled>
 895
 896 =item C<gsl_sf_bessel_il_scaled_array>
 897
 898 =item C<gsl_sf_bessel_k0_scaled_e>
 899
 900 =item C<gsl_sf_bessel_k0_scaled >
 901
 902 =item C<gsl_sf_bessel_k1_scaled_e>
 903
 904 =item C<gsl_sf_bessel_k1_scaled>
 905
 906 =item C<gsl_sf_bessel_k2_scaled_e >
 907
 908 =item C<gsl_sf_bessel_k2_scaled>
 909
 910 =item C<gsl_sf_bessel_kl_scaled_e>
 911
 912 =item C<gsl_sf_bessel_kl_scaled>
 913
 914 =item C<gsl_sf_bessel_kl_scaled_array>
 915
 916 =item C<gsl_sf_bessel_Jnu_e>
 917
 918 =item C<gsl_sf_bessel_Jnu >
 919
 920 =item C<gsl_sf_bessel_Ynu_e>
 921
 922 =item C<gsl_sf_bessel_Ynu>
 923
 924 =item C<gsl_sf_bessel_sequence_Jnu_e >
 925
 926 =item C<gsl_sf_bessel_Inu_scaled_e>
 927
 928 =item C<gsl_sf_bessel_Inu_scaled>
 929
 930 =item C<gsl_sf_bessel_Inu_e >
 931
 932 =item C<gsl_sf_bessel_Inu>
 933
 934 =item C<gsl_sf_bessel_Knu_scaled_e>
 935
 936 =item C<gsl_sf_bessel_Knu_scaled >
 937
 938 =item C<gsl_sf_bessel_Knu_e>
 939
 940 =item C<gsl_sf_bessel_Knu>
 941
 942 =item C<gsl_sf_bessel_lnKnu_e >
 943
 944 =item C<gsl_sf_bessel_lnKnu>
 945
 946 =item C<gsl_sf_bessel_zero_J0_e>
 947
 948 =item C<gsl_sf_bessel_zero_J0 >
 949
 950 =item C<gsl_sf_bessel_zero_J1_e>
 951
 952 =item C<gsl_sf_bessel_zero_J1>
 953
 954 =item C<gsl_sf_bessel_zero_Jnu_e>
 955
 956 =item C<gsl_sf_bessel_zero_Jnu>
 957
 958 =item C<gsl_sf_clausen_e>
 959
 960 =item C<gsl_sf_clausen >
 961
 962 =item C<gsl_sf_hydrogenicR_1_e>
 963
 964 =item C<gsl_sf_hydrogenicR_1>
 965
 966 =item C<gsl_sf_hydrogenicR_e >
 967
 968 =item C<gsl_sf_hydrogenicR>
 969
 970 =item C<gsl_sf_coulomb_wave_FG_e>
 971
 972 =item C<gsl_sf_coulomb_wave_F_array >
 973
 974 =item C<gsl_sf_coulomb_wave_FG_array>
 975
 976 =item C<gsl_sf_coulomb_wave_FGp_array>
 977
 978 =item C<gsl_sf_coulomb_wave_sphF_array>
 979
 980 =item C<gsl_sf_coulomb_CL_e>
 981
 982 =item C<gsl_sf_coulomb_CL_array>
 983
 984 =item C<gsl_sf_coupling_3j_e>
 985
 986 =item C<gsl_sf_coupling_3j>
 987
 988 =item C<gsl_sf_coupling_6j_e>
 989
 990 =item C<gsl_sf_coupling_6j>
 991
 992 =item C<gsl_sf_coupling_RacahW_e>
 993
 994 =item C<gsl_sf_coupling_RacahW>
 995
 996 =item C<gsl_sf_coupling_9j_e>
 997
 998 =item C<gsl_sf_coupling_9j>
 999
1000 =item C<gsl_sf_coupling_6j_INCORRECT_e>
1001
1002 =item C<gsl_sf_coupling_6j_INCORRECT >
1003
1004 =item C<gsl_sf_dawson_e, gsl_sf_dawson>
1005
1006 =item C<gsl_sf_debye_1_e>
1007
1008 =item C<gsl_sf_debye_1>
1009
1010 =item C<gsl_sf_debye_2_e>
1011
1012 =item C<gsl_sf_debye_2 >
1013
1014 =item C<gsl_sf_debye_3_e>
1015
1016 =item C<gsl_sf_debye_3>
1017
1018 =item C<gsl_sf_debye_4_e>
1019
1020 =item C<gsl_sf_debye_4>
1021
1022 =item C<gsl_sf_debye_5_e>
1023
1024 =item C<gsl_sf_debye_5 >
1025
1026 =item C<gsl_sf_debye_6_e>
1027
1028 =item C<gsl_sf_debye_6>
1029
1030 =item C<gsl_sf_dilog_e >
1031
1032 =item C<gsl_sf_dilog>
1033
1034 =item C<gsl_sf_complex_dilog_xy_e>
1035
1036 =item C<gsl_sf_complex_dilog_e >
1037
1038 =item C<gsl_sf_complex_spence_xy_e>
1039
1040 =item C<gsl_sf_multiply_e>
1041
1042 =item C<gsl_sf_multiply>
1043
1044 =item C<gsl_sf_multiply_err_e>
1045
1046 =item C<gsl_sf_ellint_Kcomp_e gsl_sf_ellint_Kcomp>
1047
1048 =item C<gsl_sf_ellint_Ecomp_e>
1049
1050 =item C<gsl_sf_ellint_Ecomp>
1051
1052 =item C<gsl_sf_ellint_Pcomp_e >
1053
1054 =item C<gsl_sf_ellint_Pcomp>
1055
1056 =item C<gsl_sf_ellint_Dcomp_e>
1057
1058 =item C<gsl_sf_ellint_Dcomp >
1059
1060 =item C<gsl_sf_ellint_F_e>
1061
1062 =item C<gsl_sf_ellint_F>
1063
1064 =item C<gsl_sf_ellint_E_e>
1065
1066 =item C<gsl_sf_ellint_E>
1067
1068 =item C<gsl_sf_ellint_P_e>
1069
1070 =item C<gsl_sf_ellint_P>
1071
1072 =item C<gsl_sf_ellint_D_e>
1073
1074 =item C<gsl_sf_ellint_D>
1075
1076 =item C<gsl_sf_ellint_RC_e >
1077
1078 =item C<gsl_sf_ellint_RC>
1079
1080 =item C<gsl_sf_ellint_RD_e>
1081
1082 =item C<gsl_sf_ellint_RD >
1083
1084 =item C<gsl_sf_ellint_RF_e>
1085
1086 =item C<gsl_sf_ellint_RF>
1087
1088 =item C<gsl_sf_ellint_RJ_e >
1089
1090 =item C<gsl_sf_ellint_RJ>
1091
1092 =item C<gsl_sf_elljac_e>
1093
1094 =item C<gsl_sf_erfc_e >
1095
1096 =item C<gsl_sf_erfc>
1097
1098 =item C<gsl_sf_log_erfc_e>
1099
1100 =item C<gsl_sf_log_erfc >
1101
1102 =item C<gsl_sf_erf_e>
1103
1104 =item C<gsl_sf_erf>
1105
1106 =item C<gsl_sf_erf_Z_e >
1107
1108 =item C<gsl_sf_erf_Q_e>
1109
1110 =item C<gsl_sf_erf_Z>
1111
1112 =item C<gsl_sf_erf_Q >
1113
1114 =item C<gsl_sf_hazard_e>
1115
1116 =item C<gsl_sf_hazard>
1117
1118 =item C<gsl_sf_exp_e >
1119
1120 =item C<gsl_sf_exp>
1121
1122 =item C<gsl_sf_exp_e10_e>
1123
1124 =item C<gsl_sf_exp_mult_e >
1125
1126 =item C<gsl_sf_exp_mult>
1127
1128 =item C<gsl_sf_exp_mult_e10_e>
1129
1130 =item C<gsl_sf_expm1_e >
1131
1132 =item C<gsl_sf_expm1>
1133
1134 =item C<gsl_sf_exprel_e>
1135
1136 =item C<gsl_sf_exprel >
1137
1138 =item C<gsl_sf_exprel_2_e>
1139
1140 =item C<gsl_sf_exprel_2>
1141
1142 =item C<gsl_sf_exprel_n_e >
1143
1144 =item C<gsl_sf_exprel_n>
1145
1146 =item C<gsl_sf_exp_err_e>
1147
1148 =item C<gsl_sf_exp_err_e10_e >
1149
1150 =item C<gsl_sf_exp_mult_err_e>
1151
1152 =item C<gsl_sf_exp_mult_err_e10_e>
1153
1154 =item C<gsl_sf_expint_E1_e >
1155
1156 =item C<gsl_sf_expint_E1>
1157
1158 =item C<gsl_sf_expint_E2_e>
1159
1160 =item C<gsl_sf_expint_E2 >
1161
1162 =item C<gsl_sf_expint_En_e>
1163
1164 =item C<gsl_sf_expint_En>
1165
1166 =item C<gsl_sf_expint_E1_scaled_e >
1167
1168 =item C<gsl_sf_expint_E1_scaled>
1169
1170 =item C<gsl_sf_expint_E2_scaled_e>
1171
1172 =item C<gsl_sf_expint_E2_scaled >
1173
1174 =item C<gsl_sf_expint_En_scaled_e>
1175
1176 =item C<gsl_sf_expint_En_scaled>
1177
1178 =item C<gsl_sf_expint_Ei_e >
1179
1180 =item C<gsl_sf_expint_Ei>
1181
1182 =item C<gsl_sf_expint_Ei_scaled_e>
1183
1184 =item C<gsl_sf_expint_Ei_scaled >
1185
1186 =item C<gsl_sf_Shi_e>
1187
1188 =item C<gsl_sf_Shi>
1189
1190 =item C<gsl_sf_Chi_e >
1191
1192 =item C<gsl_sf_Chi>
1193
1194 =item C<gsl_sf_expint_3_e>
1195
1196 =item C<gsl_sf_expint_3 >
1197
1198 =item C<gsl_sf_Si_e>
1199
1200 =item C<gsl_sf_Si>
1201
1202 =item C<gsl_sf_Ci_e >
1203
1204 =item C<gsl_sf_Ci>
1205
1206 =item C<gsl_sf_fermi_dirac_m1_e>
1207
1208 =item C<gsl_sf_fermi_dirac_m1 >
1209
1210 =item C<gsl_sf_fermi_dirac_0_e>
1211
1212 =item C<gsl_sf_fermi_dirac_0>
1213
1214 =item C<gsl_sf_fermi_dirac_1_e >
1215
1216 =item C<gsl_sf_fermi_dirac_1>
1217
1218 =item C<gsl_sf_fermi_dirac_2_e>
1219
1220 =item C<gsl_sf_fermi_dirac_2 >
1221
1222 =item C<gsl_sf_fermi_dirac_int_e>
1223
1224 =item C<gsl_sf_fermi_dirac_int>
1225
1226 =item C<gsl_sf_fermi_dirac_mhalf_e >
1227
1228 =item C<gsl_sf_fermi_dirac_mhalf>
1229
1230 =item C<gsl_sf_fermi_dirac_half_e>
1231
1232 =item C<gsl_sf_fermi_dirac_half >
1233
1234 =item C<gsl_sf_fermi_dirac_3half_e>
1235
1236 =item C<gsl_sf_fermi_dirac_3half>
1237
1238 =item C<gsl_sf_fermi_dirac_inc_0_e >
1239
1240 =item C<gsl_sf_fermi_dirac_inc_0>
1241
1242 =item C<gsl_sf_legendre_Pl_e>
1243
1244 =item C<gsl_sf_legendre_Pl >
1245
1246 =item C<gsl_sf_legendre_Pl_array>
1247
1248 =item C<gsl_sf_legendre_Pl_deriv_array>
1249
1250 =item C<gsl_sf_legendre_P1_e >
1251
1252 =item C<gsl_sf_legendre_P2_e>
1253
1254 =item C<gsl_sf_legendre_P3_e>
1255
1256 =item C<gsl_sf_legendre_P1 >
1257
1258 =item C<gsl_sf_legendre_P2>
1259
1260 =item C<gsl_sf_legendre_P3>
1261
1262 =item C<gsl_sf_legendre_Q0_e >
1263
1264 =item C<gsl_sf_legendre_Q0>
1265
1266 =item C<gsl_sf_legendre_Q1_e>
1267
1268 =item C<gsl_sf_legendre_Q1 >
1269
1270 =item C<gsl_sf_legendre_Ql_e>
1271
1272 =item C<gsl_sf_legendre_Ql>
1273
1274 =item C<gsl_sf_legendre_Plm_e >
1275
1276 =item C<gsl_sf_legendre_Plm>
1277
1278 =item C<gsl_sf_legendre_Plm_array>
1279
1280 =item C<gsl_sf_legendre_Plm_deriv_array >
1281
1282 =item C<gsl_sf_legendre_sphPlm_e>
1283
1284 =item C<gsl_sf_legendre_sphPlm>
1285
1286 =item C<gsl_sf_legendre_sphPlm_array >
1287
1288 =item C<gsl_sf_legendre_sphPlm_deriv_array>
1289
1290 =item C<gsl_sf_legendre_array_size>
1291
1292 =item C<gsl_sf_lngamma_e >
1293
1294 =item C<gsl_sf_lngamma>
1295
1296 =item C<gsl_sf_lngamma_sgn_e>
1297
1298 =item C<gsl_sf_gamma_e >
1299
1300 =item C<gsl_sf_gamma>
1301
1302 =item C<gsl_sf_gammastar_e>
1303
1304 =item C<gsl_sf_gammastar >
1305
1306 =item C<gsl_sf_gammainv_e>
1307
1308 =item C<gsl_sf_gammainv>
1309
1310 =item C<gsl_sf_lngamma_complex_e >
1311
1312 =item C<gsl_sf_gamma_inc_Q_e>
1313
1314 =item C<gsl_sf_gamma_inc_Q>
1315
1316 =item C<gsl_sf_gamma_inc_P_e >
1317
1318 =item C<gsl_sf_gamma_inc_P>
1319
1320 =item C<gsl_sf_gamma_inc_e>
1321
1322 =item C<gsl_sf_gamma_inc >
1323
1324 =item C<gsl_sf_taylorcoeff_e>
1325
1326 =item C<gsl_sf_taylorcoeff>
1327
1328 =item C<gsl_sf_fact_e >
1329
1330 =item C<gsl_sf_fact>
1331
1332 =item C<gsl_sf_doublefact_e>
1333
1334 =item C<gsl_sf_doublefact >
1335
1336 =item C<gsl_sf_lnfact_e>
1337
1338 =item C<gsl_sf_lnfact>
1339
1340 =item C<gsl_sf_lndoublefact_e >
1341
1342 =item C<gsl_sf_lndoublefact>
1343
1344 =item C<gsl_sf_lnchoose_e>
1345
1346 =item C<gsl_sf_lnchoose >
1347
1348 =item C<gsl_sf_choose_e>
1349
1350 =item C<gsl_sf_choose>
1351
1352 =item C<gsl_sf_lnpoch_e >
1353
1354 =item C<gsl_sf_lnpoch>
1355
1356 =item C<gsl_sf_lnpoch_sgn_e>
1357
1358 =item C<gsl_sf_poch_e >
1359
1360 =item C<gsl_sf_poch>
1361
1362 =item C<gsl_sf_pochrel_e>
1363
1364 =item C<gsl_sf_pochrel >
1365
1366 =item C<gsl_sf_lnbeta_e>
1367
1368 =item C<gsl_sf_lnbeta>
1369
1370 =item C<gsl_sf_lnbeta_sgn_e >
1371
1372 =item C<gsl_sf_beta_e>
1373
1374 =item C<gsl_sf_beta>
1375
1376 =item C<gsl_sf_beta_inc_e >
1377
1378 =item C<gsl_sf_beta_inc>
1379
1380 =item C<gsl_sf_gegenpoly_1_e>
1381
1382 =item C<gsl_sf_gegenpoly_2_e >
1383
1384 =item C<gsl_sf_gegenpoly_3_e>
1385
1386 =item C<gsl_sf_gegenpoly_1>
1387
1388 =item C<gsl_sf_gegenpoly_2 >
1389
1390 =item C<gsl_sf_gegenpoly_3>
1391
1392 =item C<gsl_sf_gegenpoly_n_e>
1393
1394 =item C<gsl_sf_gegenpoly_n >
1395
1396 =item C<gsl_sf_gegenpoly_array>
1397
1398 =item C<gsl_sf_hyperg_0F1_e>
1399
1400 =item C<gsl_sf_hyperg_0F1 >
1401
1402 =item C<gsl_sf_hyperg_1F1_int_e>
1403
1404 =item C<gsl_sf_hyperg_1F1_int>
1405
1406 =item C<gsl_sf_hyperg_1F1_e >
1407
1408 =item C<gsl_sf_hyperg_1F1>
1409
1410 =item C<gsl_sf_hyperg_U_int_e>
1411
1412 =item C<gsl_sf_hyperg_U_int >
1413
1414 =item C<gsl_sf_hyperg_U_int_e10_e>
1415
1416 =item C<gsl_sf_hyperg_U_e>
1417
1418 =item C<gsl_sf_hyperg_U >
1419
1420 =item C<gsl_sf_hyperg_U_e10_e>
1421
1422 =item C<gsl_sf_hyperg_2F1_e>
1423
1424 =item C<gsl_sf_hyperg_2F1 >
1425
1426 =item C<gsl_sf_hyperg_2F1_conj_e>
1427
1428 =item C<gsl_sf_hyperg_2F1_conj>
1429
1430 =item C<gsl_sf_hyperg_2F1_renorm_e >
1431
1432 =item C<gsl_sf_hyperg_2F1_renorm>
1433
1434 =item C<gsl_sf_hyperg_2F1_conj_renorm_e>
1435
1436 =item C<gsl_sf_hyperg_2F1_conj_renorm >
1437
1438 =item C<gsl_sf_hyperg_2F0_e>
1439
1440 =item C<gsl_sf_hyperg_2F0>
1441
1442 =item C<gsl_sf_laguerre_1_e >
1443
1444 =item C<gsl_sf_laguerre_2_e>
1445
1446 =item C<gsl_sf_laguerre_3_e>
1447
1448 =item C<gsl_sf_laguerre_1 >
1449
1450 =item C<gsl_sf_laguerre_2>
1451
1452 =item C<gsl_sf_laguerre_3>
1453
1454 =item C<gsl_sf_laguerre_n_e >
1455
1456 =item C<gsl_sf_laguerre_n>
1457
1458 =item C<gsl_sf_lambert_W0_e>
1459
1460 =item C<gsl_sf_lambert_W0 >
1461
1462 =item C<gsl_sf_lambert_Wm1_e>
1463
1464 =item C<gsl_sf_lambert_Wm1>
1465
1466 =item C<gsl_sf_conicalP_half_e >
1467
1468 =item C<gsl_sf_conicalP_half>
1469
1470 =item C<gsl_sf_conicalP_mhalf_e>
1471
1472 =item C<gsl_sf_conicalP_mhalf >
1473
1474 =item C<gsl_sf_conicalP_0_e>
1475
1476 =item C<gsl_sf_conicalP_0>
1477
1478 =item C<gsl_sf_conicalP_1_e >
1479
1480 =item C<gsl_sf_conicalP_1>
1481
1482 =item C<gsl_sf_conicalP_sph_reg_e>
1483
1484 =item C<gsl_sf_conicalP_sph_reg >
1485
1486 =item C<gsl_sf_conicalP_cyl_reg_e>
1487
1488 =item C<gsl_sf_conicalP_cyl_reg>
1489
1490 =item C<gsl_sf_legendre_H3d_0_e >
1491
1492 =item C<gsl_sf_legendre_H3d_0>
1493
1494 =item C<gsl_sf_legendre_H3d_1_e>
1495
1496 =item C<gsl_sf_legendre_H3d_1 >
1497
1498 =item C<gsl_sf_legendre_H3d_e>
1499
1500 =item C<gsl_sf_legendre_H3d>
1501
1502 =item C<gsl_sf_legendre_H3d_array >
1503
1504 =item C<gsl_sf_log_e>
1505
1506 =item C<gsl_sf_log>
1507
1508 =item C<gsl_sf_log_abs_e >
1509
1510 =item C<gsl_sf_log_abs>
1511
1512 =item C<gsl_sf_complex_log_e>
1513
1514 =item C<gsl_sf_log_1plusx_e >
1515
1516 =item C<gsl_sf_log_1plusx>
1517
1518 =item C<gsl_sf_log_1plusx_mx_e>
1519
1520 =item C<gsl_sf_log_1plusx_mx >
1521
1522 =item C<gsl_sf_mathieu_a_array>
1523
1524 =item C<gsl_sf_mathieu_b_array>
1525
1526 =item C<gsl_sf_mathieu_a >
1527
1528 =item C<gsl_sf_mathieu_b>
1529
1530 =item C<gsl_sf_mathieu_a_coeff>
1531
1532 =item C<gsl_sf_mathieu_b_coeff >
1533
1534 =item C<gsl_sf_mathieu_alloc>
1535
1536 =item C<gsl_sf_mathieu_free>
1537
1538 =item C<gsl_sf_mathieu_ce >
1539
1540 =item C<gsl_sf_mathieu_se>
1541
1542 =item C<gsl_sf_mathieu_ce_array>
1543
1544 =item C<gsl_sf_mathieu_se_array >
1545
1546 =item C<gsl_sf_mathieu_Mc>
1547
1548 =item C<gsl_sf_mathieu_Ms>
1549
1550 =item C<gsl_sf_mathieu_Mc_array >
1551
1552 =item C<gsl_sf_mathieu_Ms_array>
1553
1554 =item C<gsl_sf_pow_int_e>
1555
1556 =item C<gsl_sf_pow_int >
1557
1558 =item C<gsl_sf_psi_int_e>
1559
1560 =item C<gsl_sf_psi_int>
1561
1562 =item C<gsl_sf_psi_e >
1563
1564 =item C<gsl_sf_psi>
1565
1566 =item C<gsl_sf_psi_1piy_e>
1567
1568 =item C<gsl_sf_psi_1piy >
1569
1570 =item C<gsl_sf_complex_psi_e gsl_sf_psi_1_int_e>
1571
1572 =item C<gsl_sf_psi_1_int >
1573
1574 =item C<gsl_sf_psi_1_e >
1575
1576 =item C<gsl_sf_psi_1>
1577
1578 =item C<gsl_sf_psi_n_e >
1579
1580 =item C<gsl_sf_psi_n>
1581
1582 =item C<gsl_sf_result_smash_e>
1583
1584 =item C<gsl_sf_synchrotron_1_e >
1585
1586 =item C<gsl_sf_synchrotron_1>
1587
1588 =item C<gsl_sf_synchrotron_2_e>
1589
1590 =item C<gsl_sf_synchrotron_2 >
1591
1592 =item C<gsl_sf_transport_2_e>
1593
1594 =item C<gsl_sf_transport_2>
1595
1596 =item C<gsl_sf_transport_3_e >
1597
1598 =item C<gsl_sf_transport_3>
1599
1600 =item C<gsl_sf_transport_4_e>
1601
1602 =item C<gsl_sf_transport_4 >
1603
1604 =item C<gsl_sf_transport_5_e>
1605
1606 =item C<gsl_sf_transport_5>
1607
1608 =item C<gsl_sf_sin_e >
1609
1610 =item C<gsl_sf_sin>
1611
1612 =item C<gsl_sf_cos_e>
1613
1614 =item C<gsl_sf_cos >
1615
1616 =item C<gsl_sf_hypot_e>
1617
1618 =item C<gsl_sf_hypot>
1619
1620 =item C<gsl_sf_complex_sin_e >
1621
1622 =item C<gsl_sf_complex_cos_e>
1623
1624 =item C<gsl_sf_complex_logsin_e>
1625
1626 =item C<gsl_sf_sinc_e >
1627
1628 =item C<gsl_sf_sinc>
1629
1630 =item C<gsl_sf_lnsinh_e>
1631
1632 =item C<gsl_sf_lnsinh >
1633
1634 =item C<gsl_sf_lncosh_e>
1635
1636 =item C<gsl_sf_lncosh>
1637
1638 =item C<gsl_sf_polar_to_rect >
1639
1640 =item C<gsl_sf_rect_to_polar>
1641
1642 =item C<gsl_sf_sin_err_e>
1643
1644 =item C<gsl_sf_cos_err_e >
1645
1646 =item C<gsl_sf_angle_restrict_symm_e>
1647
1648 =item C<gsl_sf_angle_restrict_symm>
1649
1650 =item C<gsl_sf_angle_restrict_pos_e >
1651
1652 =item C<gsl_sf_angle_restrict_pos>
1653
1654 =item C<gsl_sf_angle_restrict_symm_err_e>
1655
1656 =item C<gsl_sf_angle_restrict_pos_err_e >
1657
1658 =item C<gsl_sf_atanint_e>
1659
1660 =item C<gsl_sf_atanint>
1661
1662 =item C<gsl_sf_zeta_int_e >
1663
1664 =item C<gsl_sf_zeta_int>
1665
1666 =item C<gsl_sf_zeta_e gsl_sf_zeta >
1667
1668 =item C<gsl_sf_zetam1_e>
1669
1670 =item C<gsl_sf_zetam1>
1671
1672 =item C<gsl_sf_zetam1_int_e >
1673
1674 =item C<gsl_sf_zetam1_int>
1675
1676 =item C<gsl_sf_hzeta_e>
1677
1678 =item C<gsl_sf_hzeta >
1679
1680 =item C<gsl_sf_eta_int_e>
1681
1682 =item C<gsl_sf_eta_int>
1683
1684 =item C<gsl_sf_eta_e>
1685
1686 =item C<gsl_sf_eta >
1687
1688 =back
1689
1690  You can import the functions that you want to use by giving a space separated list to Math::GSL::SF when you use the package.
1691  You can also write use Math::GSL::SF qw/:all/ to use all avaible functions of the module. Note that the tag names begin with a colon.
1692  Other tags are also available, here is a complete list of all tags for this module :
1693
1694 =over
1695
1696 =item C<airy>
1697
1698 =item C<bessel>
1699
1700 =item C<clausen>
1701
1702 =item C<hydrogenic>
1703
1704 =item C<coulumb>
1705
1706 =item C<coupling>
1707
1708 =item C<dawson>
1709
1710 =item C<debye>
1711
1712 =item C<dilog>
1713
1714 =item C<factorial>
1715
1716 =item C<misc>
1717
1718 =item C<elliptic>
1719
1720 =item C<error>
1721
1722 =item C<hypergeometric>
1723
1724 =item C<laguerre>
1725
1726 =item C<legendre>
1727
1728 =item C<gamma>
1729
1730 =item C<transport>
1731
1732 =item C<trig>
1733
1734 =item C<zeta>
1735
1736 =item C<eta>
1737
1738 =item C<vars>
1739
1740 =back
1741
1742  For more informations on the functions, we refer you to the GSL offcial
1743  documentation: http://www.gnu.org/software/gsl/manual/html_node/
1744
1745  Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/name_of_the_function_you_want
1746
1747 =head1 EXAMPLES
1748
1749 This example computes the dilogarithm of 1/10 :
1750
1751     use Math::GSL::SF qw/dilog/;
1752     my $x = gsl_sf_dilog(0.1);
1753     print "gsl_sf_dilog(0.1) = $x\n";
1754
1755 An example using Math::GSL::SF and gnuplot is in the B<examples/sf> folder of the source code.
1756
1757 =head1 AUTHOR
1758
1759 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
1760
1761 =head1 COPYRIGHT AND LICENSE
1762
1763 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
1764
1765 This program is free software; you can redistribute it and/or modify it
1766 under the same terms as Perl itself.
1767
1768 =cut
1769 %}