SF.i

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