SF.i

   1 %module "Math::GSL::SF"
   2 %include "typemaps.i"
   3
   4 %apply double *OUTPUT { double * sn, double * cn, double * dn, double * sgn };
   5
   6 %{
   7     #include "gsl/gsl_mode.h"
   8     #include "gsl/gsl_sf.h"
   9     #include "gsl/gsl_sf_airy.h"
  10     #include "gsl/gsl_sf_bessel.h"
  11     #include "gsl/gsl_sf_clausen.h"
  12     #include "gsl/gsl_sf_coulomb.h"
  13     #include "gsl/gsl_sf_coupling.h"
  14     #include "gsl/gsl_sf_dawson.h"
  15     #include "gsl/gsl_sf_debye.h"
  16     #include "gsl/gsl_sf_dilog.h"
  17     #include "gsl/gsl_sf_elementary.h"
  18     #include "gsl/gsl_sf_ellint.h"
  19     #include "gsl/gsl_sf_elljac.h"
  20     #include "gsl/gsl_sf_erf.h"
  21     #include "gsl/gsl_sf_exp.h"
  22     #include "gsl/gsl_sf_expint.h"
  23     #include "gsl/gsl_sf_fermi_dirac.h"
  24     #include "gsl/gsl_sf_gamma.h"
  25     #include "gsl/gsl_sf_gegenbauer.h"
  26     #include "gsl/gsl_sf_hyperg.h"
  27     #include "gsl/gsl_sf_laguerre.h"
  28     #include "gsl/gsl_sf_lambert.h"
  29     #include "gsl/gsl_sf_legendre.h"
  30     #include "gsl/gsl_sf_log.h"
  31     #include "gsl/gsl_sf_mathieu.h"
  32     #include "gsl/gsl_sf_pow_int.h"
  33     #include "gsl/gsl_sf_psi.h"
  34     #include "gsl/gsl_sf_result.h"
  35     #include "gsl/gsl_sf_synchrotron.h"
  36     #include "gsl/gsl_sf_transport.h"
  37     #include "gsl/gsl_sf_trig.h"
  38     #include "gsl/gsl_sf_zeta.h"
  39 %}
  40
  41 %include "gsl/gsl_mode.h"
  42 %include "gsl/gsl_sf.h"
  43 %include "gsl/gsl_sf_airy.h"
  44 %include "gsl/gsl_sf_bessel.h"
  45 %include "gsl/gsl_sf_clausen.h"
  46 %include "gsl/gsl_sf_coulomb.h"
  47 %include "gsl/gsl_sf_coupling.h"
  48 %include "gsl/gsl_sf_dawson.h"
  49 %include "gsl/gsl_sf_debye.h"
  50 %include "gsl/gsl_sf_dilog.h"
  51 %include "gsl/gsl_sf_elementary.h"
  52 %include "gsl/gsl_sf_ellint.h"
  53 %include "gsl/gsl_sf_elljac.h"
  54 %include "gsl/gsl_sf_erf.h"
  55 %include "gsl/gsl_sf_exp.h"
  56 %include "gsl/gsl_sf_expint.h"
  57 %include "gsl/gsl_sf_fermi_dirac.h"
  58 %include "gsl/gsl_sf_gamma.h"
  59 %include "gsl/gsl_sf_gegenbauer.h"
  60 %include "gsl/gsl_sf_hyperg.h"
  61 %include "gsl/gsl_sf_laguerre.h"
  62 %include "gsl/gsl_sf_lambert.h"
  63 %include "gsl/gsl_sf_legendre.h"
  64 %include "gsl/gsl_sf_log.h"
  65 %include "gsl/gsl_sf_mathieu.h"
  66 %include "gsl/gsl_sf_pow_int.h"
  67 %include "gsl/gsl_sf_psi.h"
  68 %include "gsl/gsl_sf_result.h"
  69 %include "gsl/gsl_sf_synchrotron.h"
  70 %include "gsl/gsl_sf_transport.h"
  71 %include "gsl/gsl_sf_trig.h"
  72 %include "gsl/gsl_sf_zeta.h"
  73
  74
  75 %perlcode %{
  76
  77 @EXPORT_airy = qw/
  78                gsl_sf_airy_Ai_e
  79                gsl_sf_airy_Ai
  80                gsl_sf_airy_Bi_e
  81                gsl_sf_airy_Bi
  82                gsl_sf_airy_Ai_scaled_e
  83                gsl_sf_airy_Ai_scaled
  84                gsl_sf_airy_Bi_scaled_e
  85                gsl_sf_airy_Bi_scaled
  86                gsl_sf_airy_Ai_deriv_e
  87                gsl_sf_airy_Ai_deriv
  88                gsl_sf_airy_Bi_deriv_e
  89                gsl_sf_airy_Bi_deriv
  90                gsl_sf_airy_Ai_deriv_scaled_e
  91                gsl_sf_airy_Ai_deriv_scaled
  92                gsl_sf_airy_Bi_deriv_scaled_e
  93                gsl_sf_airy_Bi_deriv_scaled
  94                gsl_sf_airy_zero_Ai_e
  95                gsl_sf_airy_zero_Ai
  96                gsl_sf_airy_zero_Bi_e
  97                gsl_sf_airy_zero_Bi
  98                gsl_sf_airy_zero_Ai_deriv_e
  99                gsl_sf_airy_zero_Ai_deriv
 100                gsl_sf_airy_zero_Bi_deriv_e
 101                gsl_sf_airy_zero_Bi_deriv
 102                /;
 103 @EXPORT_bessel =qw/
 104                gsl_sf_bessel_J0_e
 105                gsl_sf_bessel_J0
 106                gsl_sf_bessel_J1_e
 107                gsl_sf_bessel_J1
 108                gsl_sf_bessel_Jn_e
 109                gsl_sf_bessel_Jn
 110                gsl_sf_bessel_Jn_array
 111                gsl_sf_bessel_Y0_e
 112                gsl_sf_bessel_Y0
 113                gsl_sf_bessel_Y1_e
 114                gsl_sf_bessel_Y1
 115                gsl_sf_bessel_Yn_e
 116                gsl_sf_bessel_Yn
 117                gsl_sf_bessel_Yn_array
 118                gsl_sf_bessel_I0_e
 119                gsl_sf_bessel_I0
 120                gsl_sf_bessel_I1_e
 121                gsl_sf_bessel_I1
 122                gsl_sf_bessel_In_e
 123                gsl_sf_bessel_In
 124                gsl_sf_bessel_In_array
 125                gsl_sf_bessel_I0_scaled_e
 126                gsl_sf_bessel_I0_scaled
 127                gsl_sf_bessel_I1_scaled_e
 128                gsl_sf_bessel_I1_scaled
 129                gsl_sf_bessel_In_scaled_e
 130                gsl_sf_bessel_In_scaled
 131                gsl_sf_bessel_In_scaled_array
 132                gsl_sf_bessel_K0_e
 133                gsl_sf_bessel_K0
 134                gsl_sf_bessel_K1_e
 135                gsl_sf_bessel_K1
 136                gsl_sf_bessel_Kn_e
 137                gsl_sf_bessel_Kn
 138                gsl_sf_bessel_Kn_array
 139                gsl_sf_bessel_K0_scaled_e
 140                gsl_sf_bessel_K0_scaled
 141                gsl_sf_bessel_K1_scaled_e
 142                gsl_sf_bessel_K1_scaled
 143                gsl_sf_bessel_Kn_scaled_e
 144                gsl_sf_bessel_Kn_scaled
 145                gsl_sf_bessel_Kn_scaled_array
 146                gsl_sf_bessel_j0_e
 147                gsl_sf_bessel_j0
 148                gsl_sf_bessel_j1_e
 149                gsl_sf_bessel_j1
 150                gsl_sf_bessel_j2_e
 151                gsl_sf_bessel_j2
 152                gsl_sf_bessel_jl_e
 153                gsl_sf_bessel_jl
 154                gsl_sf_bessel_jl_array
 155                gsl_sf_bessel_jl_steed_array
 156                gsl_sf_bessel_y0_e
 157                gsl_sf_bessel_y0
 158                gsl_sf_bessel_y1_e
 159                gsl_sf_bessel_y1
 160                gsl_sf_bessel_y2_e
 161                gsl_sf_bessel_y2
 162                gsl_sf_bessel_yl_e
 163                gsl_sf_bessel_yl
 164                gsl_sf_bessel_yl_array
 165                gsl_sf_bessel_i0_scaled_e
 166                gsl_sf_bessel_i0_scaled
 167                gsl_sf_bessel_i1_scaled_e
 168                gsl_sf_bessel_i1_scaled
 169                gsl_sf_bessel_i2_scaled_e
 170                gsl_sf_bessel_i2_scaled
 171                gsl_sf_bessel_il_scaled_e
 172                gsl_sf_bessel_il_scaled
 173                gsl_sf_bessel_il_scaled_array
 174                gsl_sf_bessel_k0_scaled_e
 175                gsl_sf_bessel_k0_scaled
 176                gsl_sf_bessel_k1_scaled_e
 177                gsl_sf_bessel_k1_scaled
 178                gsl_sf_bessel_k2_scaled_e
 179                gsl_sf_bessel_k2_scaled
 180                gsl_sf_bessel_kl_scaled_e
 181                gsl_sf_bessel_kl_scaled
 182                gsl_sf_bessel_kl_scaled_array
 183                gsl_sf_bessel_Jnu_e
 184                gsl_sf_bessel_Jnu
 185                gsl_sf_bessel_Ynu_e
 186                gsl_sf_bessel_Ynu
 187                gsl_sf_bessel_sequence_Jnu_e
 188                gsl_sf_bessel_Inu_scaled_e
 189                gsl_sf_bessel_Inu_scaled
 190                gsl_sf_bessel_Inu_e
 191                gsl_sf_bessel_Inu
 192                gsl_sf_bessel_Knu_scaled_e
 193                gsl_sf_bessel_Knu_scaled
 194                gsl_sf_bessel_Knu_e
 195                gsl_sf_bessel_Knu
 196                gsl_sf_bessel_lnKnu_e
 197                gsl_sf_bessel_lnKnu
 198                gsl_sf_bessel_zero_J0_e
 199                gsl_sf_bessel_zero_J0
 200                gsl_sf_bessel_zero_J1_e
 201                gsl_sf_bessel_zero_J1
 202                gsl_sf_bessel_zero_Jnu_e
 203                gsl_sf_bessel_zero_Jnu
 204                /;
 205 @EXPORT_clausen = qw/
 206                gsl_sf_clausen_e
 207                gsl_sf_clausen
 208                /;
 209 @EXPORT_hydrogenic =  qw/
 210                gsl_sf_hydrogenicR_1_e
 211                gsl_sf_hydrogenicR_1
 212                gsl_sf_hydrogenicR_e
 213                gsl_sf_hydrogenicR
 214                /;
 215 @EXPORT_coulumb = qw/
 216                gsl_sf_coulomb_wave_FG_e
 217                gsl_sf_coulomb_wave_F_array
 218                gsl_sf_coulomb_wave_FG_array
 219                gsl_sf_coulomb_wave_FGp_array
 220                gsl_sf_coulomb_wave_sphF_array
 221                gsl_sf_coulomb_CL_e
 222                gsl_sf_coulomb_CL_array
 223                /;
 224 @EXPORT_coupling = qw/
 225                gsl_sf_coupling_3j_e
 226                gsl_sf_coupling_3j
 227                gsl_sf_coupling_6j_e
 228                gsl_sf_coupling_6j
 229                gsl_sf_coupling_RacahW_e
 230                gsl_sf_coupling_RacahW
 231                gsl_sf_coupling_9j_e
 232                gsl_sf_coupling_9j
 233                gsl_sf_coupling_6j_INCORRECT_e
 234                gsl_sf_coupling_6j_INCORRECT
 235                /;
 236 @EXPORT_dawson = qw/
 237                gsl_sf_dawson_e
 238                gsl_sf_dawson
 239                /;
 240 @EXPORT_debye = qw/
 241                gsl_sf_debye_1_e
 242                gsl_sf_debye_1
 243                gsl_sf_debye_2_e
 244                gsl_sf_debye_2
 245                gsl_sf_debye_3_e
 246                gsl_sf_debye_3
 247                gsl_sf_debye_4_e
 248                gsl_sf_debye_4
 249                gsl_sf_debye_5_e
 250                gsl_sf_debye_5
 251                gsl_sf_debye_6_e
 252                gsl_sf_debye_6
 253                /;
 254 @EXPORT_dilog = qw/
 255                gsl_sf_dilog_e
 256                gsl_sf_dilog
 257                gsl_sf_complex_dilog_xy_e
 258                gsl_sf_complex_dilog_e
 259                /;
 260
 261 @EXPORT_misc = qw/
 262                gsl_sf_complex_spence_xy_e
 263                gsl_sf_multiply_e
 264                gsl_sf_multiply
 265                gsl_sf_multiply_err_e
 266                /;
 267 @EXPORT_elliptic = qw/
 268                gsl_sf_ellint_Kcomp_e
 269                gsl_sf_ellint_Kcomp
 270                gsl_sf_ellint_Ecomp_e
 271                gsl_sf_ellint_Ecomp
 272                gsl_sf_ellint_Pcomp_e
 273                gsl_sf_ellint_Pcomp
 274                gsl_sf_ellint_Dcomp_e
 275                gsl_sf_ellint_Dcomp
 276                gsl_sf_ellint_F_e
 277                gsl_sf_ellint_F
 278                gsl_sf_ellint_E_e
 279                gsl_sf_ellint_E
 280                gsl_sf_ellint_P_e
 281                gsl_sf_ellint_P
 282                gsl_sf_ellint_D_e
 283                gsl_sf_ellint_D
 284                gsl_sf_ellint_RC_e
 285                gsl_sf_ellint_RC
 286                gsl_sf_ellint_RD_e
 287                gsl_sf_ellint_RD
 288                gsl_sf_ellint_RF_e
 289                gsl_sf_ellint_RF
 290                gsl_sf_ellint_RJ_e
 291                gsl_sf_ellint_RJ
 292                gsl_sf_elljac_e
 293                /;
 294 @EXPORT_error = qw/
 295                gsl_sf_erfc_e
 296                gsl_sf_erfc
 297                gsl_sf_log_erfc_e
 298                gsl_sf_log_erfc
 299                gsl_sf_erf_e
 300                gsl_sf_erf
 301                gsl_sf_erf_Z_e
 302                gsl_sf_erf_Q_e
 303                gsl_sf_erf_Z
 304                gsl_sf_erf_Q
 305                gsl_sf_hazard_e
 306                gsl_sf_hazard
 307                /;
 308 push @EXPORT_misc, qw/
 309                gsl_sf_exp_e
 310                gsl_sf_exp
 311                gsl_sf_exp_e10_e
 312                gsl_sf_exp_mult_e
 313                gsl_sf_exp_mult
 314                gsl_sf_exp_mult_e10_e
 315                gsl_sf_expm1_e
 316                gsl_sf_expm1
 317                gsl_sf_exprel_e
 318                gsl_sf_exprel
 319                gsl_sf_exprel_2_e
 320                gsl_sf_exprel_2
 321                gsl_sf_exprel_n_e
 322                gsl_sf_exprel_n
 323                gsl_sf_exp_err_e
 324                gsl_sf_exp_err_e10_e
 325                gsl_sf_exp_mult_err_e
 326                gsl_sf_exp_mult_err_e10_e
 327                gsl_sf_expint_E1_e
 328                gsl_sf_expint_E1
 329                gsl_sf_expint_E2_e
 330                gsl_sf_expint_E2
 331                gsl_sf_expint_En_e
 332                gsl_sf_expint_En
 333                gsl_sf_expint_E1_scaled_e
 334                gsl_sf_expint_E1_scaled
 335                gsl_sf_expint_E2_scaled_e
 336                gsl_sf_expint_E2_scaled
 337                gsl_sf_expint_En_scaled_e
 338                gsl_sf_expint_En_scaled
 339                gsl_sf_expint_Ei_e
 340                gsl_sf_expint_Ei
 341                gsl_sf_expint_Ei_scaled_e
 342                gsl_sf_expint_Ei_scaled
 343                gsl_sf_Shi_e
 344                gsl_sf_Shi
 345                gsl_sf_Chi_e
 346                gsl_sf_Chi
 347                gsl_sf_expint_3_e
 348                gsl_sf_expint_3
 349                gsl_sf_Si_e
 350                gsl_sf_Si
 351                gsl_sf_Ci_e
 352                gsl_sf_Ci
 353                /;
 354 @EXPORT_fermi_dirac = qw/
 355                gsl_sf_fermi_dirac_m1_e
 356                gsl_sf_fermi_dirac_m1
 357                gsl_sf_fermi_dirac_0_e
 358                gsl_sf_fermi_dirac_0
 359                gsl_sf_fermi_dirac_1_e
 360                gsl_sf_fermi_dirac_1
 361                gsl_sf_fermi_dirac_2_e
 362                gsl_sf_fermi_dirac_2
 363                gsl_sf_fermi_dirac_int_e
 364                gsl_sf_fermi_dirac_int
 365                gsl_sf_fermi_dirac_mhalf_e
 366                gsl_sf_fermi_dirac_mhalf
 367                gsl_sf_fermi_dirac_half_e
 368                gsl_sf_fermi_dirac_half
 369                gsl_sf_fermi_dirac_3half_e
 370                gsl_sf_fermi_dirac_3half
 371                gsl_sf_fermi_dirac_inc_0_e
 372                gsl_sf_fermi_dirac_inc_0
 373                /;
 374 @EXPORT_legendre = qw/
 375                gsl_sf_legendre_Pl_e
 376                gsl_sf_legendre_Pl
 377                gsl_sf_legendre_Pl_array
 378                gsl_sf_legendre_Pl_deriv_array
 379                gsl_sf_legendre_P1_e
 380                gsl_sf_legendre_P2_e
 381                gsl_sf_legendre_P3_e
 382                gsl_sf_legendre_P1
 383                gsl_sf_legendre_P2
 384                gsl_sf_legendre_P3
 385                gsl_sf_legendre_Q0_e
 386                gsl_sf_legendre_Q0
 387                gsl_sf_legendre_Q1_e
 388                gsl_sf_legendre_Q1
 389                gsl_sf_legendre_Ql_e
 390                gsl_sf_legendre_Ql
 391                gsl_sf_legendre_Plm_e
 392                gsl_sf_legendre_Plm
 393                gsl_sf_legendre_Plm_array
 394                gsl_sf_legendre_Plm_deriv_array
 395                gsl_sf_legendre_sphPlm_e
 396                gsl_sf_legendre_sphPlm
 397                gsl_sf_legendre_sphPlm_array
 398                gsl_sf_legendre_sphPlm_deriv_array
 399                gsl_sf_legendre_array_size
 400                gsl_sf_legendre_H3d_0_e
 401                gsl_sf_legendre_H3d_0
 402                gsl_sf_legendre_H3d_1_e
 403                gsl_sf_legendre_H3d_1
 404                gsl_sf_legendre_H3d_e
 405                gsl_sf_legendre_H3d
 406                gsl_sf_legendre_H3d_array
 407                /;
 408 @EXPORT_gamma = qw/
 409                gsl_sf_lngamma_e
 410                gsl_sf_lngamma
 411                gsl_sf_lngamma_sgn_e
 412                gsl_sf_gamma_e
 413                gsl_sf_gamma
 414                gsl_sf_gammastar_e
 415                gsl_sf_gammastar
 416                gsl_sf_gammainv_e
 417                gsl_sf_gammainv
 418                gsl_sf_lngamma_complex_e
 419                gsl_sf_gamma_inc_Q_e
 420                gsl_sf_gamma_inc_Q
 421                gsl_sf_gamma_inc_P_e
 422                gsl_sf_gamma_inc_P
 423                gsl_sf_gamma_inc_e
 424                gsl_sf_gamma_inc
 425                /;
 426 @EXPORT_factorial = qw/
 427                gsl_sf_fact_e
 428                gsl_sf_fact
 429                gsl_sf_doublefact_e
 430                gsl_sf_doublefact
 431                gsl_sf_lnfact_e
 432                gsl_sf_lnfact
 433                gsl_sf_lndoublefact_e
 434                gsl_sf_lndoublefact
 435                /;
 436 @EXPORT_hypergeometric = qw/
 437                gsl_sf_hyperg_0F1_e
 438                gsl_sf_hyperg_0F1
 439                gsl_sf_hyperg_1F1_int_e
 440                gsl_sf_hyperg_1F1_int
 441                gsl_sf_hyperg_1F1_e
 442                gsl_sf_hyperg_1F1
 443                gsl_sf_hyperg_U_int_e
 444                gsl_sf_hyperg_U_int
 445                gsl_sf_hyperg_U_int_e10_e
 446                gsl_sf_hyperg_U_e
 447                gsl_sf_hyperg_U
 448                gsl_sf_hyperg_U_e10_e
 449                gsl_sf_hyperg_2F1_e
 450                gsl_sf_hyperg_2F1
 451                gsl_sf_hyperg_2F1_conj_e
 452                gsl_sf_hyperg_2F1_conj
 453                gsl_sf_hyperg_2F1_renorm_e
 454                gsl_sf_hyperg_2F1_renorm
 455                gsl_sf_hyperg_2F1_conj_renorm_e
 456                gsl_sf_hyperg_2F1_conj_renorm
 457                gsl_sf_hyperg_2F0_e
 458                gsl_sf_hyperg_2F0
 459                /;
 460 @EXPORT_laguerre = qw/
 461                gsl_sf_laguerre_1_e
 462                gsl_sf_laguerre_2_e
 463                gsl_sf_laguerre_3_e
 464                gsl_sf_laguerre_1
 465                gsl_sf_laguerre_2
 466                gsl_sf_laguerre_3
 467                gsl_sf_laguerre_n_e
 468                gsl_sf_laguerre_n
 469                /;
 470 push @EXPORT_misc, qw/
 471                gsl_sf_taylorcoeff_e
 472                gsl_sf_taylorcoeff
 473                gsl_sf_lnchoose_e
 474                gsl_sf_lnchoose
 475                gsl_sf_choose_e
 476                gsl_sf_choose
 477                gsl_sf_lnpoch_e
 478                gsl_sf_lnpoch
 479                gsl_sf_lnpoch_sgn_e
 480                gsl_sf_poch_e
 481                gsl_sf_poch
 482                gsl_sf_pochrel_e
 483                gsl_sf_pochrel
 484                gsl_sf_lnbeta_e
 485                gsl_sf_lnbeta
 486                gsl_sf_lnbeta_sgn_e
 487                gsl_sf_beta_e
 488                gsl_sf_beta
 489                gsl_sf_beta_inc_e
 490                gsl_sf_beta_inc
 491                gsl_sf_gegenpoly_1_e
 492                gsl_sf_gegenpoly_2_e
 493                gsl_sf_gegenpoly_3_e
 494                gsl_sf_gegenpoly_1
 495                gsl_sf_gegenpoly_2
 496                gsl_sf_gegenpoly_3
 497                gsl_sf_gegenpoly_n_e
 498                gsl_sf_gegenpoly_n
 499                gsl_sf_gegenpoly_array
 500                gsl_sf_lambert_W0_e
 501                gsl_sf_lambert_W0
 502                gsl_sf_lambert_Wm1_e
 503                gsl_sf_lambert_Wm1
 504                gsl_sf_conicalP_half_e
 505                gsl_sf_conicalP_half
 506                gsl_sf_conicalP_mhalf_e
 507                gsl_sf_conicalP_mhalf
 508                gsl_sf_conicalP_0_e
 509                gsl_sf_conicalP_0
 510                gsl_sf_conicalP_1_e
 511                gsl_sf_conicalP_1
 512                gsl_sf_conicalP_sph_reg_e
 513                gsl_sf_conicalP_sph_reg
 514                gsl_sf_conicalP_cyl_reg_e
 515                gsl_sf_conicalP_cyl_reg
 516                gsl_sf_log_e
 517                gsl_sf_log
 518                gsl_sf_log_abs_e
 519                gsl_sf_log_abs
 520                gsl_sf_complex_log_e
 521                gsl_sf_log_1plusx_e
 522                gsl_sf_log_1plusx
 523                gsl_sf_log_1plusx_mx_e
 524                gsl_sf_log_1plusx_mx
 525                gsl_sf_pow_int_e
 526                gsl_sf_pow_int
 527                gsl_sf_psi_int_e
 528                gsl_sf_psi_int
 529                gsl_sf_psi_e
 530                gsl_sf_psi
 531                gsl_sf_psi_1piy_e
 532                gsl_sf_psi_1piy
 533                gsl_sf_complex_psi_e
 534                gsl_sf_psi_1_int_e
 535                gsl_sf_psi_1_int
 536                gsl_sf_psi_1_e
 537                gsl_sf_psi_1
 538                gsl_sf_psi_n_e
 539                gsl_sf_psi_n
 540                gsl_sf_result_smash_e
 541                gsl_sf_synchrotron_1_e
 542                gsl_sf_synchrotron_1
 543                gsl_sf_synchrotron_2_e
 544                gsl_sf_synchrotron_2
 545                /;
 546 @EXPORT_mathieu = qw/
 547                gsl_sf_mathieu_a_array
 548                gsl_sf_mathieu_b_array
 549                gsl_sf_mathieu_a
 550                gsl_sf_mathieu_b
 551                gsl_sf_mathieu_a_coeff
 552                gsl_sf_mathieu_b_coeff
 553                gsl_sf_mathieu_alloc
 554                gsl_sf_mathieu_free
 555                gsl_sf_mathieu_ce
 556                gsl_sf_mathieu_se
 557                gsl_sf_mathieu_ce_array
 558                gsl_sf_mathieu_se_array
 559                gsl_sf_mathieu_Mc
 560                gsl_sf_mathieu_Ms
 561                gsl_sf_mathieu_Mc_array
 562                gsl_sf_mathieu_Ms_array
 563                /;
 564 @EXPORT_transport = qw/
 565                gsl_sf_transport_2_e
 566                gsl_sf_transport_2
 567                gsl_sf_transport_3_e
 568                gsl_sf_transport_3
 569                gsl_sf_transport_4_e
 570                gsl_sf_transport_4
 571                gsl_sf_transport_5_e
 572                gsl_sf_transport_5
 573                /;
 574 @EXPORT_trig = qw/
 575                gsl_sf_sin_e
 576                gsl_sf_sin
 577                gsl_sf_sin_pi_x_e
 578                gsl_sf_cos_e
 579                gsl_sf_cos_pi_x_e
 580                gsl_sf_cos
 581                gsl_sf_hypot_e
 582                gsl_sf_hypot
 583                gsl_sf_complex_sin_e
 584                gsl_sf_complex_cos_e
 585                gsl_sf_complex_logsin_e
 586                gsl_sf_sinc_e
 587                gsl_sf_sinc
 588                gsl_sf_lnsinh_e
 589                gsl_sf_lnsinh
 590                gsl_sf_lncosh_e
 591                gsl_sf_lncosh
 592                gsl_sf_polar_to_rect
 593                gsl_sf_rect_to_polar
 594                gsl_sf_sin_err_e
 595                gsl_sf_cos_err_e
 596                gsl_sf_angle_restrict_symm_e
 597                gsl_sf_angle_restrict_symm
 598                gsl_sf_angle_restrict_pos_e
 599                gsl_sf_angle_restrict_pos
 600                gsl_sf_angle_restrict_symm_err_e
 601                gsl_sf_angle_restrict_pos_err_e
 602                gsl_sf_atanint_e
 603                gsl_sf_atanint
 604                /;
 605 @EXPORT_zeta = qw/
 606                gsl_sf_zeta_int_e
 607                gsl_sf_zeta_int
 608                gsl_sf_zeta_e
 609                gsl_sf_zeta
 610                gsl_sf_zetam1_e
 611                gsl_sf_zetam1
 612                gsl_sf_zetam1_int_e
 613                gsl_sf_zetam1_int
 614                gsl_sf_hzeta_e
 615                gsl_sf_hzeta
 616                /;
 617 @EXPORT_eta = qw/
 618                gsl_sf_eta_int_e
 619                gsl_sf_eta_int
 620                gsl_sf_eta_e
 621                gsl_sf_eta
 622                /;
 623 @EXPORT_vars = qw/
 624                GSL_SF_GAMMA_XMAX
 625                GSL_SF_FACT_NMAX
 626                GSL_SF_DOUBLEFACT_NMAX
 627                GSL_SF_MATHIEU_COEFF
 628                /;
 629
 630 @EXPORT_OK = (
 631                @EXPORT_airy, @EXPORT_bessel, @EXPORT_clausen, @EXPORT_hydrogenic,
 632                @EXPORT_coulumb, @EXPORT_coupling, @EXPORT_dawson, @EXPORT_debye,
 633                @EXPORT_dilog, @EXPORT_misc, @EXPORT_elliptic, @EXPORT_error, @EXPORT_legendre,
 634                @EXPORT_gamma, @EXPORT_transport, @EXPORT_trig, @EXPORT_zeta, @EXPORT_eta,
 635                @EXPORT_vars
 636              );
 637
 638 %EXPORT_TAGS = (
 639                  all            => [ @EXPORT_OK ],
 640                  airy           => [ @EXPORT_airy ],
 641                  bessel         => [ @EXPORT_bessel ],
 642                  clausen        => [ @EXPORT_clausen ],
 643                  coulumb        => [ @EXPORT_coulumb ],
 644                  coupling       => [ @EXPORT_coupling ],
 645                  dawson         => [ @EXPORT_dawson ],
 646                  debye          => [ @EXPORT_debye ],
 647                  dilog          => [ @EXPORT_dilog ],
 648                  eta            => [ @EXPORT_eta ],
 649                  elliptic       => [ @EXPORT_elliptic ],
 650                  error          => [ @EXPORT_error ],
 651                  factorial      => [ @EXPORT_factorial ],
 652                  gamma          => [ @EXPORT_gamma ],
 653                  hydrogenic     => [ @EXPORT_hydrogenic ],
 654                  hypergeometric => [ @EXPORT_hypergeometric ],
 655                  laguerre       => [ @EXPORT_laguerre ],
 656                  legendre       => [ @EXPORT_legendre ],
 657                  mathieu        => [ @EXPORT_mathieu ],
 658                  misc           => [ @EXPORT_misc ],
 659                  transport      => [ @EXPORT_transport ],
 660                  trig           => [ @EXPORT_trig ],
 661                  vars           => [ @EXPORT_vars ],
 662                  zeta           => [ @EXPORT_zeta ],
 663                 );
 664
 665 __END__
 666
 667 =head1 NAME
 668
 669 Math::GSL::SF - Special Functions
 670
 671 =head1 SYNOPSIS
 672
 673     use Math::GSL::SF qw /:all/;
 674
 675 =head1 DESCRIPTION
 676
 677 This module contains a data structure named gsl_sf_result. To create a new one use
 678
 679     $r = Math::GSL::SF::gsl_sf_result_struct->new;
 680
 681 You can then access the elements of the structure in this way :
 682
 683     my $val   = $r->{val};
 684
 685     my $error = $r->{err};
 686
 687 Here is a list of all included functions:
 688
 689 =over
 690
 691 =item C<gsl_sf_airy_Ai_e($x, $mode)>
 692
 693 =item C<gsl_sf_airy_Ai($x, $mode, $result)>
 694
 695 - These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 696
 697 =back
 698
 699 =over
 700
 701 =item C<gsl_sf_airy_Bi_e($x, $mode, $result)>
 702
 703 =item C<gsl_sf_airy_Bi($x, $mode)>
 704
 705 - These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 706
 707 =back
 708
 709 =over
 710
 711 =item C<gsl_sf_airy_Ai_scaled_e($x, $mode, $result)>
 712
 713 =item C<gsl_sf_airy_Ai_scaled($x, $mode)>
 714
 715 - These routines compute a scaled version of the Airy function S_A($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. $result is a gsl_sf_result structure.
 716
 717 =back
 718
 719 =over
 720
 721 =item C<gsl_sf_airy_Bi_scaled_e($x, $mode, $result)>
 722
 723 =item C<gsl_sf_airy_Bi_scaled($x, $mode)>
 724
 725 - These routines compute a scaled version of the Airy function S_B($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. $result is a gsl_sf_result structure.
 726
 727 =back
 728
 729 =over
 730
 731 =item C<gsl_sf_airy_Ai_deriv_e($x, $mode, $result)>
 732
 733 =item C<gsl_sf_airy_Ai_deriv($x, $mode)>
 734
 735 - These routines compute the Airy function derivative Ai'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 736
 737 =back
 738
 739 =over
 740
 741 =item C<gsl_sf_airy_Bi_deriv_e($x, $mode, $result)>
 742
 743 =item C<gsl_sf_airy_Bi_deriv($x, $mode)>
 744
 745 -These routines compute the Airy function derivative Bi'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 746
 747 =back
 748
 749 =over
 750
 751 =item C<gsl_sf_airy_Ai_deriv_scaled_e($x, $mode, $result)>
 752
 753 =item C<gsl_sf_airy_Ai_deriv_scaled($x, $mode)>
 754
 755 -These routines compute the scaled Airy function derivative 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. $result is a gsl_sf_result structure.
 756
 757 =back
 758
 759 =over
 760
 761 =item C<gsl_sf_airy_Bi_deriv_scaled_e($x, $mode, $result)>
 762
 763 =item C<gsl_sf_airy_Bi_deriv_scaled($x, $mode)>
 764
 765 -These routines compute the scaled Airy function derivative 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. $result is a gsl_sf_result structure.
 766
 767 =back
 768
 769 =over
 770
 771 =item C<gsl_sf_airy_zero_Ai_e($s, $result)>
 772
 773 =item C<gsl_sf_airy_zero_Ai($s)>
 774
 775 -These routines compute the location of the s-th zero of the Airy function Ai($x). $result is a gsl_sf_result structure.
 776
 777 =back
 778
 779 =over
 780
 781 =item C<gsl_sf_airy_zero_Bi_e($s, $result)>
 782
 783 =item C<gsl_sf_airy_zero_Bi($s)>
 784
 785 -These routines compute the location of the s-th zero of the Airy function Bi($x). $result is a gsl_sf_result structure.
 786
 787 =back
 788
 789 =over
 790
 791 =item C<gsl_sf_airy_zero_Ai_deriv_e($s, $result)>
 792
 793 =item C<gsl_sf_airy_zero_Ai_deriv($s)>
 794
 795 -These routines compute the location of the s-th zero of the Airy function derivative Ai'(x). $result is a gsl_sf_result structure.
 796
 797 =back
 798
 799 =over
 800
 801 =item C<gsl_sf_airy_zero_Bi_deriv_e($s, $result)>
 802
 803 =item C<gsl_sf_airy_zero_Bi_deriv($s)>
 804
 805 - These routines compute the location of the s-th zero of the Airy function derivative Bi'(x). $result is a gsl_sf_result structure.
 806
 807 =back
 808
 809 =over
 810
 811 =item C<gsl_sf_bessel_J0_e($x, $result)>
 812
 813 =item C<gsl_sf_bessel_J0($x)>
 814
 815 -These routines compute the regular cylindrical Bessel function of zeroth order, J_0($x). $result is a gsl_sf_result structure.
 816
 817 =back
 818
 819 =over
 820
 821 =item C<gsl_sf_bessel_J1_e($x, $result)>
 822
 823 =item C<gsl_sf_bessel_J1($x)>
 824
 825 - These routines compute the regular cylindrical Bessel function of first order, J_1($x). $result is a gsl_sf_result structure.
 826
 827 =back
 828
 829 =over
 830
 831 =item C<gsl_sf_bessel_Jn_e($n, $x, $result)>
 832
 833 =item C<gsl_sf_bessel_Jn($n, $x)>
 834
 835 -These routines compute the regular cylindrical Bessel function of order n, J_n($x).
 836
 837 =back
 838
 839 =over
 840
 841 =item C<gsl_sf_bessel_Jn_array($nmin, $nmax, $x, $result_array)> - This routine computes the values of the regular cylindrical Bessel functions J_n($x) for n from $nmin to $nmax inclusive, storing the results in the array $result_array. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.
 842
 843 =back
 844
 845 =over
 846
 847 =item C<gsl_sf_bessel_Y0_e($x, $result)>
 848
 849 =item C<gsl_sf_bessel_Y0($x)>
 850
 851 - These routines compute the irregular spherical Bessel function of zeroth order, y_0(x) = -\cos(x)/x.
 852
 853 =back
 854
 855 =over
 856
 857 =item C<gsl_sf_bessel_Y1_e($x, $result)>
 858
 859 =item C<gsl_sf_bessel_Y1($x)>
 860
 861 -These routines compute the irregular spherical Bessel function of first order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
 862
 863 =back
 864
 865 =over
 866
 867 =item C<gsl_sf_bessel_Yn_e>($n, $x, $result)
 868
 869 =item C<gsl_sf_bessel_Yn($n, $x)>
 870
 871 -These routines compute the irregular cylindrical Bessel function of order $n, Y_n(x), for x>0.
 872
 873 =back
 874
 875 =over
 876
 877 =item C<gsl_sf_bessel_Yn_array>
 878
 879 -
 880
 881 =back
 882
 883 =over
 884
 885 =item C<gsl_sf_bessel_I0_e($x, $result)>
 886
 887 =item C<gsl_sf_bessel_I0($x)>
 888
 889 -These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).
 890
 891 =back
 892
 893 =over
 894
 895 =item C<gsl_sf_bessel_I1_e($x, $result)>
 896
 897 =item C<gsl_sf_bessel_I1($x)>
 898
 899 -These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).
 900
 901 =back
 902
 903 =over
 904
 905 =item C<gsl_sf_bessel_In_e($n, $x, $result)>
 906
 907 =item C<gsl_sf_bessel_In($n, $x)>
 908
 909 -These routines compute the regular modified cylindrical Bessel function of order $n, I_n(x).
 910
 911 =back
 912
 913 =over
 914
 915 =item C<gsl_sf_bessel_In_array>
 916
 917 -
 918
 919 =back
 920
 921 =over
 922
 923 =item C<gsl_sf_bessel_I0_scaled_e($x, $result)>
 924
 925 =item C<gsl_sf_bessel_I0_scaled($x)>
 926
 927 -These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).
 928
 929 =back
 930
 931 =over
 932
 933 =item C<gsl_sf_bessel_I1_scaled_e($x, $result)>
 934
 935 =item C<gsl_sf_bessel_I1_scaled($x)>
 936
 937 -These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).
 938
 939 =back
 940
 941 =over
 942
 943 =item C<gsl_sf_bessel_In_scaled_e($n, $x, $result)>
 944
 945 =item C<gsl_sf_bessel_In_scaled($n, $x)>
 946
 947 -These routines compute the scaled regular modified cylindrical Bessel function of order $n, \exp(-|x|) I_n(x)
 948
 949 =back
 950
 951 =over
 952
 953 =item C<gsl_sf_bessel_In_scaled_array>
 954
 955 -
 956
 957 =back
 958
 959 =over
 960
 961 =item C<gsl_sf_bessel_K0_e($x, $result)>
 962
 963 =item C<gsl_sf_bessel_K0($x)>
 964
 965 -These routines compute the irregular modified cylindrical Bessel function of zeroth order, K_0(x), for x > 0.
 966
 967 =back
 968
 969 =over
 970
 971 =item C<gsl_sf_bessel_K1_e($x, $result)>
 972
 973 =item C<gsl_sf_bessel_K1($x)>
 974
 975 -These routines compute the irregular modified cylindrical Bessel function of first order, K_1(x), for x > 0.
 976
 977 =back
 978
 979 =over
 980
 981 =item C<gsl_sf_bessel_Kn_e($n, $x, $result)>
 982
 983 =item C<gsl_sf_bessel_Kn($n, $x)>
 984
 985 -These routines compute the irregular modified cylindrical Bessel function of order $n, K_n(x), for x > 0.
 986
 987 =back
 988
 989 =over
 990
 991 =item C<gsl_sf_bessel_Kn_array>
 992
 993 -
 994
 995 =back
 996
 997 =over
 998
 999 =item C<gsl_sf_bessel_K0_scaled_e($x, $result)>
1000
1001 =item C<gsl_sf_bessel_K0_scaled($x)>
1002
1003 -These routines compute the scaled irregular modified cylindrical Bessel function of zeroth order \exp(x) K_0(x) for x>0.
1004
1005 =back
1006
1007 =over
1008
1009 =item C<gsl_sf_bessel_K1_scaled_e($x, $result)>
1010
1011 =item C<gsl_sf_bessel_K1_scaled($x)>
1012
1013 -
1014
1015 =back
1016
1017 =over
1018
1019 =item C<gsl_sf_bessel_Kn_scaled_e($n, $x, $result)>
1020
1021 =item C<gsl_sf_bessel_Kn_scaled($n, $x)>
1022
1023 -
1024
1025 =back
1026
1027 =over
1028
1029 =item C<gsl_sf_bessel_Kn_scaled_array >
1030
1031 -
1032
1033 =back
1034
1035 =over
1036
1037 =item C<gsl_sf_bessel_j0_e($x, $result)>
1038
1039 =item C<gsl_sf_bessel_j0($x)>
1040
1041 -
1042
1043 =back
1044
1045 =over
1046
1047 =item C<gsl_sf_bessel_j1_e($x, $result)>
1048
1049 =item C<gsl_sf_bessel_j1($x)>
1050
1051 -
1052
1053 =back
1054
1055 =over
1056
1057 =item C<gsl_sf_bessel_j2_e($x, $result)>
1058
1059 =item C<gsl_sf_bessel_j2($x)>
1060
1061 -
1062
1063 =back
1064
1065 =over
1066
1067 =item C<gsl_sf_bessel_jl_e($l, $x, $result)>
1068
1069 =item C<gsl_sf_bessel_jl($l, $x)>
1070
1071 -
1072
1073 =back
1074
1075 =over
1076
1077 =item C<gsl_sf_bessel_jl_array>
1078
1079 -
1080
1081 =back
1082
1083 =over
1084
1085 =item C<gsl_sf_bessel_jl_steed_array>
1086
1087 -
1088
1089 =back
1090
1091 =over
1092
1093 =item C<gsl_sf_bessel_y0_e($x, $result)>
1094
1095 =item C<gsl_sf_bessel_y0($x)>
1096
1097 -
1098
1099 =back
1100
1101 =over
1102
1103 =item C<gsl_sf_bessel_y1_e($x, $result)>
1104
1105 =item C<gsl_sf_bessel_y1($x)>
1106
1107 -
1108
1109 =back
1110
1111 =over
1112
1113 =item C<gsl_sf_bessel_y2_e($x, $result)>
1114
1115 =item C<gsl_sf_bessel_y2($x)>
1116
1117 -
1118
1119 =back
1120
1121 =over
1122
1123 =item C<gsl_sf_bessel_yl_e($l, $x, $result)>
1124
1125 =item C<gsl_sf_bessel_yl($l, $x)>
1126
1127 -
1128
1129 =back
1130
1131 =over
1132
1133 =item C<gsl_sf_bessel_yl_array>
1134
1135 -
1136
1137 =back
1138
1139 =over
1140
1141 =item C<gsl_sf_bessel_i0_scaled_e($x, $result)>
1142
1143 =item C<gsl_sf_bessel_i0_scaled($x)>
1144
1145 -
1146
1147 =back
1148
1149 =over
1150
1151 =item C<gsl_sf_bessel_i1_scaled_e($x, $result)>
1152
1153 =item C<gsl_sf_bessel_i1_scaled($x)>
1154
1155 -
1156
1157 =back
1158
1159 =over
1160
1161 =item C<gsl_sf_bessel_i2_scaled_e($x, $result)>
1162
1163 =item C<gsl_sf_bessel_i2_scaled($x)>
1164
1165 -
1166
1167 =back
1168
1169 =over
1170
1171 =item C<gsl_sf_bessel_il_scaled_e($l, $x, $result)>
1172
1173 =item C<gsl_sf_bessel_il_scaled($x)>
1174
1175 -
1176
1177 =back
1178
1179 =over
1180
1181 =item C<gsl_sf_bessel_il_scaled_array>
1182
1183 -
1184
1185 =back
1186
1187 =over
1188
1189 =item C<gsl_sf_bessel_k0_scaled_e($x, $result)>
1190
1191 =item C<gsl_sf_bessel_k0_scale($x)>
1192
1193 -
1194
1195 =back
1196
1197 =over
1198
1199 =item C<gsl_sf_bessel_k1_scaled_e($x, $result)>
1200
1201 =item C<gsl_sf_bessel_k1_scaled($x)>
1202
1203 -
1204
1205 =back
1206
1207 =over
1208
1209 =item C<gsl_sf_bessel_k2_scaled_e($x, $result) >
1210
1211 =item C<gsl_sf_bessel_k2_scaled($x)>
1212
1213 -
1214
1215 =back
1216
1217 =over
1218
1219 =item C<gsl_sf_bessel_kl_scaled_e($l, $x, $result)>
1220
1221 =item C<gsl_sf_bessel_kl_scaled($l, $x)>
1222
1223 -
1224
1225 =back
1226
1227 =over
1228
1229 =item C<gsl_sf_bessel_kl_scaled_array>
1230
1231 -
1232
1233 =back
1234
1235 =over
1236
1237 =item C<gsl_sf_bessel_Jnu_e($nu, $x, $result)>
1238
1239 =item C<gsl_sf_bessel_Jnu($nu, $x)>
1240
1241 -
1242
1243 =back
1244
1245 =over
1246
1247 =item C<gsl_sf_bessel_sequence_Jnu_e >
1248
1249 -
1250
1251 =back
1252
1253 =over
1254
1255 =item C<gsl_sf_bessel_Ynu_e($nu, $x, $result)>
1256
1257 =item C<gsl_sf_bessel_Ynu($nu, $x)>
1258
1259 -
1260
1261 =back
1262
1263 =over
1264
1265 =item C<gsl_sf_bessel_Inu_scaled_e($nu, $x, $result)>
1266
1267 =item C<gsl_sf_bessel_Inu_scaled($nu, $x)>
1268
1269 -
1270
1271 =back
1272
1273 =over
1274
1275 =item C<gsl_sf_bessel_Inu_e($nu, $x, $result)>
1276
1277 =item C<gsl_sf_bessel_Inu($nu, $x)>
1278
1279 -
1280
1281 =back
1282
1283 =over
1284
1285 =item C<gsl_sf_bessel_Knu_scaled_e($nu, $x, $result)>
1286
1287 =item C<gsl_sf_bessel_Knu_scaled($nu, $x)>
1288
1289 -
1290
1291 =back
1292
1293 =over
1294
1295 =item C<gsl_sf_bessel_Knu_e($nu, $x, $result)>
1296
1297 =item C<gsl_sf_bessel_Knu($nu, $x)>
1298
1299 -
1300
1301 =back
1302
1303 =over
1304
1305 =item C<gsl_sf_bessel_lnKnu_e($nu, $x, $result)>
1306
1307 =item C<gsl_sf_bessel_lnKnu($nu, $x)>
1308
1309 -
1310
1311 =back
1312
1313 =over
1314
1315 =item C<gsl_sf_bessel_zero_J0_e($s, $result)>
1316
1317 =item C<gsl_sf_bessel_zero_J0($s)>
1318
1319 -
1320
1321 =back
1322
1323 =over
1324
1325 =item C<gsl_sf_bessel_zero_J1_e($s, $result)>
1326
1327 =item C<gsl_sf_bessel_zero_J1($s)>
1328
1329 -
1330
1331 =back
1332
1333 =over
1334
1335 =item C<gsl_sf_bessel_zero_Jnu_e($nu, $s, $result)>
1336
1337 =item C<gsl_sf_bessel_zero_Jnu($nu, $s)>
1338
1339 -
1340
1341 =back
1342
1343 =over
1344
1345 =item C<gsl_sf_clausen_e($x, $result)>
1346
1347 =item C<gsl_sf_clausen($x)>
1348
1349 -
1350
1351 =back
1352
1353 =over
1354
1355 =item C<gsl_sf_hydrogenicR_1_e($Z, $r, $result)>
1356
1357 =item C<gsl_sf_hydrogenicR_1($Z, $r)>
1358
1359 -
1360
1361 =back
1362
1363 =over
1364
1365 =item C<gsl_sf_hydrogenicR_e($n, $l, $Z, $r, $result)>
1366
1367 =item C<gsl_sf_hydrogenicR($n, $l, $Z, $r)>
1368
1369 -
1370
1371 =back
1372
1373 =over
1374
1375 =item C<gsl_sf_coulomb_wave_FG_e($eta, $x, $L_F, $k, $F, gsl_sf_result * Fp, gsl_sf_result * G, $Gp)> - This function computes the Coulomb wave functions F_L(\eta,x), G_{L-k}(\eta,x) and their derivatives F'_L(\eta,x), G'_{L-k}(\eta,x) with respect to $x. The parameters are restricted to L, L-k > -1/2, x > 0 and integer $k. Note that L itself is not restricted to being an integer. The results are stored in the parameters $F, $G for the function values and $Fp, $Gp for the derivative values. $F, $G, $Fp, $Gp are all gsl_result structs. If an overflow occurs, $GSL_EOVRFLW is returned and scaling exponents are returned as second and third values.
1376
1377 =item C<gsl_sf_coulomb_wave_F_array > -
1378
1379 =item C<gsl_sf_coulomb_wave_FG_array> -
1380
1381 =item C<gsl_sf_coulomb_wave_FGp_array> -
1382
1383 =item C<gsl_sf_coulomb_wave_sphF_array> -
1384
1385 =item C<gsl_sf_coulomb_CL_e($L, $eta, $result)> - This function computes the Coulomb wave function normalization constant C_L($eta) for $L > -1.
1386
1387 =item C<gsl_sf_coulomb_CL_arrayi> -
1388
1389 =back
1390
1391 =over
1392
1393 =item C<gsl_sf_coupling_3j_e($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc, $result)>
1394
1395 =item C<gsl_sf_coupling_3j($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc)>
1396
1397 - These routines compute the Wigner 3-j coefficient,
1398    (ja jb jc
1399     ma mb mc)
1400  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1401
1402 =back
1403
1404 =over
1405
1406 =item C<gsl_sf_coupling_6j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $result)>
1407
1408 =item C<gsl_sf_coupling_6j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf)>
1409
1410 - These routines compute the Wigner 6-j coefficient,
1411    {ja jb jc
1412     jd je jf}
1413  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1414
1415 =back
1416
1417 =over
1418
1419 =item C<gsl_sf_coupling_RacahW_e>
1420
1421 =item C<gsl_sf_coupling_RacahW>
1422
1423 -
1424
1425 =back
1426
1427 =over
1428
1429 =item C<gsl_sf_coupling_9j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji, $result)>
1430
1431 =item C<gsl_sf_coupling_9j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji)>
1432
1433 -These routines compute the Wigner 9-j coefficient,
1434
1435           {ja jb jc
1436            jd je jf
1437            jg jh ji}
1438  where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
1439
1440 =back
1441
1442 =over
1443
1444 =item C<gsl_sf_dawson_e($x, $result)>
1445
1446 =item C<gsl_sf_dawson($x)>
1447
1448 -These routines compute the value of Dawson's integral for $x.
1449
1450 =back
1451
1452 =over
1453
1454 =item C<gsl_sf_debye_1_e($x, $result)>
1455
1456 =item C<gsl_sf_debye_1($x)>
1457
1458 -These routines compute the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
1459
1460 =back
1461
1462 =over
1463
1464 =item C<gsl_sf_debye_2_e($x, $result)>
1465
1466 =item C<gsl_sf_debye_2($x)>
1467
1468 -These routines compute the second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1)).
1469
1470 =back
1471
1472 =over
1473
1474 =item C<gsl_sf_debye_3_e($x, $result)>
1475
1476 =item C<gsl_sf_debye_3($x)>
1477
1478 -These routines compute the third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1)).
1479
1480 =back
1481
1482 =over
1483
1484 =item C<gsl_sf_debye_4_e($x, $result)>
1485
1486 =item C<gsl_sf_debye_4($x)>
1487
1488 -These routines compute the fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1)).
1489
1490 =back
1491
1492 =over
1493
1494 =item C<gsl_sf_debye_5_e($x, $result)>
1495
1496 =item C<gsl_sf_debye_5($x)>
1497
1498 -These routines compute the fifth-order Debye function D_5(x) = (5/x^5) \int_0^x dt (t^5/(e^t - 1)).
1499
1500 =back
1501
1502 =over
1503
1504 =item C<gsl_sf_debye_6_e($x, $result)>
1505
1506 =item C<gsl_sf_debye_6($x)>
1507
1508 -These routines compute the sixth-order Debye function D_6(x) = (6/x^6) \int_0^x dt (t^6/(e^t - 1)).
1509
1510 =back
1511
1512 =over
1513
1514 =item C<gsl_sf_dilog_e ($x, $result)>
1515
1516 =item C<gsl_sf_dilog($x)>
1517
1518 - These routines compute the dilogarithm for a real argument. In Lewin's notation this is Li_2(x), the real part of the dilogarithm of a real x. It is defined by the integral representation Li_2(x) = - \Re \int_0^x ds \log(1-s) / s. Note that \Im(Li_2(x)) = 0 for x <= 1, and -\pi\log(x) for x > 1. Note that Abramowitz & Stegun refer to the Spence integral S(x)=Li_2(1-x) as the dilogarithm rather than Li_2(x).
1519
1520 =back
1521
1522 =over
1523
1524 =item C<gsl_sf_complex_dilog_xy_e> -
1525
1526 =item C<gsl_sf_complex_dilog_e($r, $theta, $result_re, $result_im)> - This function computes the full complex-valued dilogarithm for the complex argument z = r \exp(i \theta). The real and imaginary parts of the result are returned in the $result_re and $result_im gsl_result structs.
1527
1528 =item C<gsl_sf_complex_spence_xy_e> -
1529
1530 =back
1531
1532 =over
1533
1534 =item C<gsl_sf_multiply>
1535
1536 =item C<gsl_sf_multiply_e($x, $y, $result)> - This function multiplies $x and $y storing the product and its associated error in $result.
1537
1538 =item C<gsl_sf_multiply_err_e($x, $dx, $y, $dy, $result)> - This function multiplies $x and $y with associated absolute errors $dx and $dy. The product xy +/- xy \sqrt((dx/x)^2 +(dy/y)^2) is stored in $result.
1539
1540 -
1541
1542 =back
1543
1544 =over
1545
1546
1547 =item C<gsl_sf_ellint_Kcomp_e($k, $mode, $result)>
1548
1549 =item C<gsl_sf_ellint_Kcomp($k, $mode)>
1550
1551 -These routines compute the complete elliptic integral K($k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1552
1553 =back
1554
1555 =over
1556
1557 =item C<gsl_sf_ellint_Ecomp_e($k, $mode, $result)>
1558
1559 =item C<gsl_sf_ellint_Ecomp($k, $mode)>
1560
1561 -
1562
1563 =back
1564
1565 =over
1566
1567 =item C<gsl_sf_ellint_Pcomp_e($k, $n, $mode, $result)>
1568
1569 =item C<gsl_sf_ellint_Pcomp($k, $n, $mode)>
1570
1571 -
1572
1573 =back
1574
1575 =over
1576
1577 =item C<gsl_sf_ellint_Dcomp_e>
1578
1579 =item C<gsl_sf_ellint_Dcomp >
1580
1581 -
1582
1583 =back
1584
1585 =over
1586
1587 =item C<gsl_sf_ellint_F_e($phi, $k, $mode, $result)>
1588
1589 =item C<gsl_sf_ellint_F($phi, $k, $mode)>
1590
1591 -These routines compute the incomplete elliptic integral F($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1592
1593 =back
1594
1595 =over
1596
1597 =item C<gsl_sf_ellint_E_e($phi, $k, $mode, $result)>
1598
1599 =item C<gsl_sf_ellint_E($phi, $k, $mode)>
1600
1601 -These routines compute the incomplete elliptic integral E($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1602
1603 =back
1604
1605 =over
1606
1607 =item C<gsl_sf_ellint_P_e($phi, $k, $n, $mode, $result)>
1608
1609 =item C<gsl_sf_ellint_P($phi, $k, $n, $mode)>
1610
1611 -These routines compute the incomplete elliptic integral \Pi(\phi,k,n) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameters m = k^2 and \sin^2(\alpha) = k^2, with the change of sign n \to -n.
1612
1613 =back
1614
1615 =over
1616
1617 =item C<gsl_sf_ellint_D_e($phi, $k, $n, $mode, $result)>
1618
1619 =item C<gsl_sf_ellint_D($phi, $k, $n, $mode)>
1620
1621 -These functions compute the incomplete elliptic integral D(\phi,k) which is defined through the Carlson form RD(x,y,z) by the following relation, D(\phi,k,n) = (1/3)(\sin(\phi))^3 RD (1-\sin^2(\phi), 1-k^2 \sin^2(\phi), 1). The argument $n is not used and will be removed in a future release.
1622
1623 =back
1624
1625 =over
1626
1627 =item C<gsl_sf_ellint_RC_e($x, $y, $mode, $result)>
1628
1629 =item C<gsl_sf_ellint_RC($x, $y, $mode)>
1630
1631 - These routines compute the incomplete elliptic integral RC($x,$y) to the accuracy specified by the mode variable $mode.
1632
1633 =back
1634
1635 =over
1636
1637 =item C<gsl_sf_ellint_RD_e($x, $y, $z, $mode, $result)>
1638
1639 =item C<gsl_sf_ellint_RD($x, $y, $z, $mode)>
1640
1641 - These routines compute the incomplete elliptic integral RD($x,$y,$z) to the accuracy specified by the mode variable $mode.
1642
1643 =back
1644
1645 =over
1646
1647 =item C<gsl_sf_ellint_RF_e($x, $y, $z, $mode, $result)>
1648
1649 =item C<gsl_sf_ellint_RF($x, $y, $z, $mode)>
1650
1651 - These routines compute the incomplete elliptic integral RF($x,$y,$z) to the accuracy specified by the mode variable $mode.
1652
1653 =back
1654
1655 =over
1656
1657 =item C<gsl_sf_ellint_RJ_e($x, $y, $z, $p, $mode, $result)>
1658
1659 =item C<gsl_sf_ellint_RJ($x, $y, $z, $p, $mode)>
1660
1661 - These routines compute the incomplete elliptic integral RJ($x,$y,$z,$p) to the accuracy specified by the mode variable $mode.
1662
1663 =back
1664
1665 =over
1666
1667 =item C<gsl_sf_elljac_e($u, $m)> - This function computes the Jacobian elliptic functions sn(u|m), cn(u|m), dn(u|m) by descending Landen transformations. The function returns 0 if the operation succeded, 1 otherwise and then returns the result of sn, cn and dn in this order.
1668
1669 =item C<gsl_sf_erfc_e($x, $result)>
1670
1671 =item C<gsl_sf_erfc($x)>
1672
1673 -These routines compute the complementary error function erfc(x) = 1 - erf(x) = (2/\sqrt(\pi)) \int_x^\infty \exp(-t^2).
1674
1675 =back
1676
1677 =over
1678
1679 =item C<gsl_sf_log_erfc_e($x, $result)>
1680
1681 =item C<gsl_sf_log_erfc($x)>
1682
1683 -These routines compute the logarithm of the complementary error function \log(\erfc(x)).
1684
1685 =back
1686
1687 =over
1688
1689 =item C<gsl_sf_erf_e($x, $result)>
1690
1691 =item C<gsl_sf_erf($x)>
1692
1693 -These routines compute the error function erf(x), where erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2).
1694
1695 =back
1696
1697 =over
1698
1699 =item C<gsl_sf_erf_Z_e($x, $result)>
1700
1701 =item C<gsl_sf_erf_Z($x)>
1702
1703 -These routines compute the Gaussian probability density function Z(x) = (1/\sqrt{2\pi}) \exp(-x^2/2).
1704
1705 =back
1706
1707 =over
1708
1709 =item C<gsl_sf_erf_Q_e($x, $result)>
1710
1711 =item C<gsl_sf_erf_Q($x)>
1712
1713 - These routines compute the upper tail of the Gaussian probability function Q(x) = (1/\sqrt{2\pi}) \int_x^\infty dt \exp(-t^2/2). The hazard function for the normal distribution, also known as the inverse Mill's ratio, is defined as, h(x) = Z(x)/Q(x) = \sqrt{2/\pi} \exp(-x^2 / 2) / \erfc(x/\sqrt 2) It decreases rapidly as x approaches -\infty and asymptotes to h(x) \sim x as x approaches +\infty.
1714
1715 =back
1716
1717 =over
1718
1719 =item C<gsl_sf_hazard_e($x, $result)>
1720
1721 =item C<gsl_sf_hazard($x)>
1722
1723 - These routines compute the hazard function for the normal distribution.
1724
1725 =back
1726
1727 =over
1728
1729 =item C<gsl_sf_exp_e($x, $result)>
1730
1731 =item C<gsl_sf_exp($x)>
1732
1733 - These routines provide an exponential function \exp(x) using GSL semantics and error checking.
1734
1735 =back
1736
1737 =over
1738
1739 =item C<gsl_sf_exp_e10_e> -
1740
1741 =back
1742
1743 =over
1744
1745 =item C<gsl_sf_exp_mult_e >
1746
1747 =item C<gsl_sf_exp_mult>
1748
1749 -
1750
1751 =back
1752
1753 =over
1754
1755 =item C<gsl_sf_exp_mult_e10_e> -
1756
1757 =back
1758
1759 =over
1760
1761 =item C<gsl_sf_expm1_e($x, $result)>
1762
1763 =item C<gsl_sf_expm1($x)>
1764
1765 -These routines compute the quantity \exp(x)-1 using an algorithm that is accurate for small x.
1766
1767 =back
1768
1769 =over
1770
1771 =item C<gsl_sf_exprel_e($x, $result)>
1772
1773 =item C<gsl_sf_exprel($x)>
1774
1775 -These routines compute the quantity (\exp(x)-1)/x using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion (\exp(x)-1)/x = 1 + x/2 + x^2/(2*3) + x^3/(2*3*4) + \dots.
1776
1777 =back
1778
1779 =over
1780
1781 =item C<gsl_sf_exprel_2_e($x, $result)>
1782
1783 =item C<gsl_sf_exprel_2($x)>
1784
1785 -These routines compute the quantity 2(\exp(x)-1-x)/x^2 using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion 2(\exp(x)-1-x)/x^2 = 1 + x/3 + x^2/(3*4) + x^3/(3*4*5) + \dots.
1786
1787 =back
1788
1789 =over
1790
1791 =item C<gsl_sf_exprel_n_e($x, $result)>
1792
1793 =item C<gsl_sf_exprel_n($x)>
1794
1795 -These routines compute the N-relative exponential, which is the n-th generalization of the functions gsl_sf_exprel and gsl_sf_exprel2. The N-relative exponential is given by,
1796  exprel_N(x) = N!/x^N (\exp(x) - \sum_{k=0}^{N-1} x^k/k!)
1797   = 1 + x/(N+1) + x^2/((N+1)(N+2)) + ...
1798   = 1F1 (1,1+N,x)
1799
1800 =back
1801
1802 =over
1803
1804 =item C<gsl_sf_exp_err_e($x, $dx, $result)> - This function exponentiates $x with an associated absolute error $dx.
1805
1806 =item C<gsl_sf_exp_err_e10_e> -
1807
1808 =item C<gsl_sf_exp_mult_err_e($x, $dx, $y, $dy, $result)> -
1809
1810 =item C<gsl_sf_exp_mult_err_e10_e> -
1811
1812 =back
1813
1814 =over
1815
1816 =item C<gsl_sf_expint_E1_e($x, $result)>
1817
1818 =item C<gsl_sf_expint_E1($x)>
1819
1820 -These routines compute the exponential integral E_1(x), E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
1821
1822 =back
1823
1824 =over
1825
1826 =item C<gsl_sf_expint_E2_e($x, $result)>
1827
1828 =item C<gsl_sf_expint_E2($x)>
1829
1830 -These routines compute the second-order exponential integral E_2(x),
1831   E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2.
1832
1833
1834 =back
1835
1836 =over
1837
1838 =item C<gsl_sf_expint_En_e($n, $x, $result)>
1839
1840 =item C<gsl_sf_expint_En($n, $x)>
1841
1842 -These routines compute the exponential integral E_n(x) of order n,
1843   E_n(x) := \Re \int_1^\infty dt \exp(-xt)/t^n.
1844
1845
1846 =back
1847
1848 =over
1849
1850 =item C<gsl_sf_expint_E1_scaled_e >
1851
1852 =item C<gsl_sf_expint_E1_scaled>
1853
1854 -
1855
1856 =back
1857
1858 =over
1859
1860 =item C<gsl_sf_expint_E2_scaled_e>
1861
1862 =item C<gsl_sf_expint_E2_scaled >
1863
1864 -
1865
1866 =back
1867
1868 =over
1869
1870 =item C<gsl_sf_expint_En_scaled_e>
1871
1872 =item C<gsl_sf_expint_En_scaled>
1873
1874 -
1875
1876 =back
1877
1878 =over
1879
1880 =item C<gsl_sf_expint_Ei_e($x, $result)>
1881
1882 =item C<gsl_sf_expint_Ei($x)>
1883
1884 -These routines compute the exponential integral Ei(x), Ei(x) := - PV(\int_{-x}^\infty dt \exp(-t)/t) where PV denotes the principal value of the integral.
1885
1886 =back
1887
1888 =over
1889
1890 =item C<gsl_sf_expint_Ei_scaled_e>
1891
1892 =item C<gsl_sf_expint_Ei_scaled >
1893
1894 -
1895
1896 =back
1897
1898 =over
1899
1900 =item C<gsl_sf_Shi_e($x, $result)>
1901
1902 =item C<gsl_sf_Shi($x)>
1903
1904 -These routines compute the integral Shi(x) = \int_0^x dt \sinh(t)/t.
1905
1906 =back
1907
1908 =over
1909
1910 =item C<gsl_sf_Chi_e($x, $result)>
1911
1912 =item C<gsl_sf_Chi($x)>
1913
1914 -These routines compute the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh[t]-1)/t] , where \gamma_E is the Euler constant (available as $M_EULER from the Math::GSL::Const module).
1915
1916 =back
1917
1918 =over
1919
1920 =item C<gsl_sf_expint_3_e($x, $result)>
1921
1922 =item C<gsl_sf_expint_3($x)>
1923
1924 -These routines compute the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0.
1925
1926 =back
1927
1928 =over
1929
1930 =item C<gsl_sf_Si_e($x, $result)>
1931
1932 =item C<gsl_sf_Si($x)>
1933
1934 -These routines compute the Sine integral Si(x) = \int_0^x dt \sin(t)/t.
1935
1936 =back
1937
1938 =over
1939
1940 =item C<gsl_sf_Ci_e($x, $result)>
1941
1942 =item C<gsl_sf_Ci($x)>
1943
1944 -These routines compute the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0.
1945
1946 =back
1947
1948 =over
1949
1950 =item C<gsl_sf_fermi_dirac_m1_e($x, $result)>
1951
1952 =item C<gsl_sf_fermi_dirac_m1($x)>
1953
1954 -These routines compute the complete Fermi-Dirac integral with an index of -1. This integral is given by F_{-1}(x) = e^x / (1 + e^x).
1955
1956 =back
1957
1958 =over
1959
1960 =item C<gsl_sf_fermi_dirac_0_e($x, $result)>
1961
1962 =item C<gsl_sf_fermi_dirac_0($x)>
1963
1964 -These routines compute the complete Fermi-Dirac integral with an index of 0. This integral is given by F_0(x) = \ln(1 + e^x).
1965
1966 =back
1967
1968 =over
1969
1970 =item C<gsl_sf_fermi_dirac_1_e($x, $result)>
1971
1972 =item C<gsl_sf_fermi_dirac_1($x)>
1973
1974 -These routines compute the complete Fermi-Dirac integral with an index of 1, F_1(x) = \int_0^\infty dt (t /(\exp(t-x)+1)).
1975
1976 =back
1977
1978 =over
1979
1980 =item C<gsl_sf_fermi_dirac_2_e($x, $result)>
1981
1982 =item C<gsl_sf_fermi_dirac_2($x)>
1983
1984 -These routines compute the complete Fermi-Dirac integral with an index of 2, F_2(x) = (1/2) \int_0^\infty dt (t^2 /(\exp(t-x)+1)).
1985
1986 =back
1987
1988 =over
1989
1990 =item C<gsl_sf_fermi_dirac_int_e($j, $x, $result)>
1991
1992 =item C<gsl_sf_fermi_dirac_int($j, $x)>
1993
1994 -These routines compute the complete Fermi-Dirac integral with an integer index of j, F_j(x) = (1/\Gamma(j+1)) \int_0^\infty dt (t^j /(\exp(t-x)+1)).
1995
1996 =back
1997
1998 =over
1999
2000 =item C<gsl_sf_fermi_dirac_mhalf_e($x, $result)>
2001
2002 =item C<gsl_sf_fermi_dirac_mhalf($x)>
2003
2004 -These routines compute the complete Fermi-Dirac integral F_{-1/2}(x).
2005
2006 =back
2007
2008 =over
2009
2010 =item C<gsl_sf_fermi_dirac_half_e($x, $result)>
2011
2012 =item C<gsl_sf_fermi_dirac_half($x)>
2013
2014 -These routines compute the complete Fermi-Dirac integral F_{1/2}(x).
2015
2016 =back
2017
2018 =over
2019
2020 =item C<gsl_sf_fermi_dirac_3half_e($x, $result)>
2021
2022 =item C<gsl_sf_fermi_dirac_3half($x)>
2023
2024 -These routines compute the complete Fermi-Dirac integral F_{3/2}(x).
2025
2026 =back
2027
2028 =over
2029
2030 =item C<gsl_sf_fermi_dirac_inc_0_e($x, $b, $result)>
2031
2032 =item C<gsl_sf_fermi_dirac_inc_0($x, $b, $result)>
2033
2034 -These routines compute the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e^{b-x}) - (b-x).
2035
2036 =back
2037
2038 =over
2039
2040 =item C<gsl_sf_legendre_Pl_e($l, $x, $result)>
2041
2042 =item C<gsl_sf_legendre_Pl($l, $x)>
2043
2044 -These functions evaluate the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
2045
2046 =back
2047
2048 =over
2049
2050 =item C<gsl_sf_legendre_Pl_array>
2051
2052 =item C<gsl_sf_legendre_Pl_deriv_array>
2053
2054 -
2055
2056 =back
2057
2058 =over
2059
2060 =item C<gsl_sf_legendre_P1_e($x, $result)>
2061
2062 =item C<gsl_sf_legendre_P2_e($x, $result)>
2063
2064 =item C<gsl_sf_legendre_P3_e($x, $result)>
2065
2066 =item C<gsl_sf_legendre_P1($x)>
2067
2068 =item C<gsl_sf_legendre_P2($x)>
2069
2070 =item C<gsl_sf_legendre_P3($x)>
2071
2072 -These functions evaluate the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
2073
2074 =back
2075
2076 =over
2077
2078 =item C<gsl_sf_legendre_Q0_e($x, $result)>
2079
2080 =item C<gsl_sf_legendre_Q0($x)>
2081
2082 -These routines compute the Legendre function Q_0(x) for x > -1, x != 1.
2083
2084 =back
2085
2086 =over
2087
2088 =item C<gsl_sf_legendre_Q1_e($x, $result)>
2089
2090 =item C<gsl_sf_legendre_Q1($x)>
2091
2092 -These routines compute the Legendre function Q_1(x) for x > -1, x != 1.
2093
2094 =back
2095
2096 =over
2097
2098 =item C<gsl_sf_legendre_Ql_e($l, $x, $result)>
2099
2100 =item C<gsl_sf_legendre_Ql($l, $x)>
2101
2102 -These routines compute the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.
2103
2104 =back
2105
2106 =over
2107
2108 =item C<gsl_sf_legendre_Plm_e($l, $m, $x, $result)>
2109
2110 =item C<gsl_sf_legendre_Plm($l, $m, $x)>
2111
2112 -These routines compute the associated Legendre polynomial P_l^m(x) for m >= 0, l >= m, |x| <= 1.
2113
2114 =back
2115
2116 =over
2117
2118 =item C<gsl_sf_legendre_Plm_array>
2119
2120 =item C<gsl_sf_legendre_Plm_deriv_array >
2121
2122 -
2123
2124 =back
2125
2126 =over
2127
2128 =item C<gsl_sf_legendre_sphPlm_e($l, $m, $x, $result)>
2129
2130 =item C<gsl_sf_legendre_sphPlm($l, $m, $x)>
2131
2132 -These routines compute the normalized associated Legendre polynomial $\sqrt{(2l+1)/(4\pi)} \sqrt{(l-m)!/(l+m)!} P_l^m(x)$ suitable for use in spherical harmonics. The parameters must satisfy m >= 0, l >= m, |x| <= 1. Theses routines avoid the overflows that occur for the standard normalization of P_l^m(x).
2133
2134 =back
2135
2136 =over
2137
2138 =item C<gsl_sf_legendre_sphPlm_array >
2139
2140 =item C<gsl_sf_legendre_sphPlm_deriv_array>
2141
2142 -
2143
2144 =back
2145
2146 =over
2147
2148 =item C<gsl_sf_legendre_array_size> -
2149
2150 =back
2151
2152 =over
2153
2154 =item C<gsl_sf_lngamma_e($x, $result)>
2155
2156 =item C<gsl_sf_lngamma($x)>
2157
2158 -These routines compute the logarithm of the Gamma function, \log(\Gamma(x)), subject to x not being a negative integer or zero. For x<0 the real part of \log(\Gamma(x)) is returned, which is equivalent to \log(|\Gamma(x)|). The function is computed using the real Lanczos method.
2159
2160 =back
2161
2162 =over
2163
2164 =item C<gsl_sf_lngamma_sgn_e($x, $result_lg)> - This routine returns the sign of the gamma function and the logarithm of its magnitude into this order, subject to $x not being a negative integer or zero. The function is computed using the real Lanczos method. The value of the gamma function can be reconstructed using the relation \Gamma(x) = sgn * \exp(resultlg).
2165
2166 =back
2167
2168 =over
2169
2170 =item C<gsl_sf_gamma_e >
2171
2172 =item C<gsl_sf_gamma>
2173
2174 -
2175
2176 =back
2177
2178 =over
2179
2180 =item C<gsl_sf_gammastar_e>
2181
2182 =item C<gsl_sf_gammastar >
2183
2184 -
2185
2186 =back
2187
2188 =over
2189
2190 =item C<gsl_sf_gammainv_e>
2191
2192 =item C<gsl_sf_gammainv>
2193
2194 -
2195
2196 =back
2197
2198 =over
2199
2200 =item C<gsl_sf_lngamma_complex_e >
2201
2202 -
2203
2204 =back
2205
2206 =over
2207
2208 =item C<gsl_sf_gamma_inc_Q_e>
2209
2210 =item C<gsl_sf_gamma_inc_Q>
2211
2212 -
2213
2214 =back
2215
2216 =over
2217
2218 =item C<gsl_sf_gamma_inc_P_e >
2219
2220 =item C<gsl_sf_gamma_inc_P>
2221
2222 -
2223
2224 =back
2225
2226 =over
2227
2228 =item C<gsl_sf_gamma_inc_e>
2229
2230 =item C<gsl_sf_gamma_inc >
2231
2232 -
2233
2234 =back
2235
2236 =over
2237
2238 =item C<gsl_sf_taylorcoeff_e>
2239
2240 =item C<gsl_sf_taylorcoeff>
2241
2242 -
2243
2244 =back
2245
2246 =over
2247
2248 =item C<gsl_sf_fact_e >
2249
2250 =item C<gsl_sf_fact>
2251
2252 -
2253
2254 =back
2255
2256 =over
2257
2258 =item C<gsl_sf_doublefact_e>
2259
2260 =item C<gsl_sf_doublefact >
2261
2262 -
2263
2264 =back
2265
2266 =over
2267
2268 =item C<gsl_sf_lnfact_e>
2269
2270 =item C<gsl_sf_lnfact>
2271
2272 -
2273
2274 =back
2275
2276 =over
2277
2278 =item C<gsl_sf_lndoublefact_e >
2279
2280 =item C<gsl_sf_lndoublefact>
2281
2282 -
2283
2284 =back
2285
2286 =over
2287
2288 =item C<gsl_sf_lnchoose_e>
2289
2290 =item C<gsl_sf_lnchoose >
2291
2292 -
2293
2294 =back
2295
2296 =over
2297
2298 =item C<gsl_sf_choose_e>
2299
2300 =item C<gsl_sf_choose>
2301
2302 -
2303
2304 =back
2305
2306 =over
2307
2308 =item C<gsl_sf_lnpoch_e >
2309
2310 =item C<gsl_sf_lnpoch>
2311
2312 -
2313
2314 =back
2315
2316 =over
2317
2318 =item C<gsl_sf_lnpoch_sgn_e>
2319
2320 -
2321
2322 =back
2323
2324 =over
2325
2326 =item C<gsl_sf_poch_e >
2327
2328 =item C<gsl_sf_poch>
2329
2330 -
2331
2332 =back
2333
2334 =over
2335
2336 =item C<gsl_sf_pochrel_e>
2337
2338 =item C<gsl_sf_pochrel >
2339
2340 -
2341
2342 =back
2343
2344 =over
2345
2346 =item C<gsl_sf_lnbeta_e>
2347
2348 =item C<gsl_sf_lnbeta>
2349
2350 -
2351
2352 =back
2353
2354 =over
2355
2356 =item C<gsl_sf_lnbeta_sgn_e >
2357
2358 -
2359
2360 =back
2361
2362 =over
2363
2364 =item C<gsl_sf_beta_e>
2365
2366 =item C<gsl_sf_beta>
2367
2368 -
2369
2370 =back
2371
2372 =over
2373
2374 =item C<gsl_sf_beta_inc_e >
2375
2376 =item C<gsl_sf_beta_inc>
2377
2378 -
2379
2380 =back
2381
2382 =over
2383
2384 =item C<gsl_sf_gegenpoly_1_e>
2385
2386 =item C<gsl_sf_gegenpoly_2_e >
2387
2388 =item C<gsl_sf_gegenpoly_3_e>
2389
2390 =item C<gsl_sf_gegenpoly_1>
2391
2392 =item C<gsl_sf_gegenpoly_2 >
2393
2394 =item C<gsl_sf_gegenpoly_3>
2395
2396 -
2397
2398 =back
2399
2400 =over
2401
2402 =item C<gsl_sf_gegenpoly_n_e>
2403
2404 =item C<gsl_sf_gegenpoly_n >
2405
2406 -
2407
2408 =back
2409
2410 =over
2411
2412 =item C<gsl_sf_gegenpoly_array>
2413
2414 =item C<gsl_sf_hyperg_0F1_e>
2415
2416 =item C<gsl_sf_hyperg_0F1 >
2417
2418 -
2419
2420 =back
2421
2422 =over
2423
2424 =item C<gsl_sf_hyperg_1F1_int_e>
2425
2426 =item C<gsl_sf_hyperg_1F1_int>
2427
2428 -
2429
2430 =back
2431
2432 =over
2433
2434 =item C<gsl_sf_hyperg_1F1_e >
2435
2436 =item C<gsl_sf_hyperg_1F1>
2437
2438 -
2439
2440 =back
2441
2442 =over
2443
2444 =item C<gsl_sf_hyperg_U_int_e>
2445
2446 =item C<gsl_sf_hyperg_U_int >
2447
2448 -
2449
2450 =back
2451
2452 =over
2453
2454 =item C<gsl_sf_hyperg_U_int_e10_e>
2455
2456 -
2457
2458 =back
2459
2460 =over
2461
2462 =item C<gsl_sf_hyperg_U_e>
2463
2464 =item C<gsl_sf_hyperg_U >
2465
2466 -
2467
2468 =back
2469
2470 =over
2471
2472 =item C<gsl_sf_hyperg_U_e10_e>
2473
2474 -
2475
2476 =back
2477
2478 =over
2479
2480 =item C<gsl_sf_hyperg_2F1_e>
2481
2482 =item C<gsl_sf_hyperg_2F1 >
2483
2484 -
2485
2486 =back
2487
2488 =over
2489
2490 =item C<gsl_sf_hyperg_2F1_conj_e>
2491
2492 =item C<gsl_sf_hyperg_2F1_conj>
2493
2494 -
2495
2496 =back
2497
2498 =over
2499
2500 =item C<gsl_sf_hyperg_2F1_renorm_e >
2501
2502 =item C<gsl_sf_hyperg_2F1_renorm>
2503
2504 -
2505
2506 =back
2507
2508 =over
2509
2510 =item C<gsl_sf_hyperg_2F1_conj_renorm_e>
2511
2512 =item C<gsl_sf_hyperg_2F1_conj_renorm >
2513
2514 -
2515
2516 =back
2517
2518 =over
2519
2520 =item C<gsl_sf_hyperg_2F0_e>
2521
2522 =item C<gsl_sf_hyperg_2F0>
2523
2524 -
2525
2526 =back
2527
2528 =over
2529
2530 =item C<gsl_sf_laguerre_1_e >
2531
2532 =item C<gsl_sf_laguerre_2_e>
2533
2534 =item C<gsl_sf_laguerre_3_e>
2535
2536 =item C<gsl_sf_laguerre_1 >
2537
2538 =item C<gsl_sf_laguerre_2>
2539
2540 =item C<gsl_sf_laguerre_3>
2541
2542 -
2543
2544 =back
2545
2546 =over
2547
2548 =item C<gsl_sf_laguerre_n_e >
2549
2550 =item C<gsl_sf_laguerre_n>
2551
2552 -
2553
2554 =back
2555
2556 =over
2557
2558 =item C<gsl_sf_lambert_W0_e>
2559
2560 =item C<gsl_sf_lambert_W0 >
2561
2562 -
2563
2564 =back
2565
2566 =over
2567
2568 =item C<gsl_sf_lambert_Wm1_e>
2569
2570 =item C<gsl_sf_lambert_Wm1>
2571
2572 -
2573
2574 =back
2575
2576 =over
2577
2578 =item C<gsl_sf_conicalP_half_e >
2579
2580 =item C<gsl_sf_conicalP_half>
2581
2582 -
2583
2584 =back
2585
2586 =over
2587
2588 =item C<gsl_sf_conicalP_mhalf_e>
2589
2590 =item C<gsl_sf_conicalP_mhalf >
2591
2592 -
2593
2594 =back
2595
2596 =over
2597
2598 =item C<gsl_sf_conicalP_0_e>
2599
2600 =item C<gsl_sf_conicalP_0>
2601
2602 -
2603
2604 =back
2605
2606 =over
2607
2608 =item C<gsl_sf_conicalP_1_e >
2609
2610 =item C<gsl_sf_conicalP_1>
2611
2612 -
2613
2614 =back
2615
2616 =over
2617
2618 =item C<gsl_sf_conicalP_sph_reg_e>
2619
2620 =item C<gsl_sf_conicalP_sph_reg >
2621
2622 -
2623
2624 =back
2625
2626 =over
2627
2628 =item C<gsl_sf_conicalP_cyl_reg_e>
2629
2630 =item C<gsl_sf_conicalP_cyl_reg>
2631
2632 -
2633
2634 =back
2635
2636 =over
2637
2638 =item C<gsl_sf_legendre_H3d_0_e >
2639
2640 =item C<gsl_sf_legendre_H3d_0>
2641
2642 -
2643
2644 =back
2645
2646 =over
2647
2648 =item C<gsl_sf_legendre_H3d_1_e>
2649
2650 =item C<gsl_sf_legendre_H3d_1 >
2651
2652 -
2653
2654 =back
2655
2656 =over
2657
2658 =item C<gsl_sf_legendre_H3d_e>
2659
2660 =item C<gsl_sf_legendre_H3d>
2661
2662 -
2663
2664 =back
2665
2666 =over
2667
2668 =item C<gsl_sf_legendre_H3d_array >
2669
2670 -
2671
2672 =back
2673
2674 =over
2675
2676 =item C<gsl_sf_log_e>
2677
2678 =item C<gsl_sf_log>
2679
2680 -
2681
2682 =back
2683
2684 =over
2685
2686 =item C<gsl_sf_log_abs_e >
2687
2688 =item C<gsl_sf_log_abs>
2689
2690 -
2691
2692 =back
2693
2694 =over
2695
2696 =item C<gsl_sf_complex_log_e>
2697
2698 -
2699
2700 =back
2701
2702 =over
2703
2704 =item C<gsl_sf_log_1plusx_e >
2705
2706 =item C<gsl_sf_log_1plusx>
2707
2708 -
2709
2710 =back
2711
2712 =over
2713
2714 =item C<gsl_sf_log_1plusx_mx_e>
2715
2716 =item C<gsl_sf_log_1plusx_mx >
2717
2718 -
2719
2720 =back
2721
2722 =over
2723
2724 =item C<gsl_sf_mathieu_a_array>
2725
2726 =item C<gsl_sf_mathieu_b_array>
2727
2728 -
2729
2730 =back
2731
2732 =over
2733
2734 =item C<gsl_sf_mathieu_a >
2735
2736 =item C<gsl_sf_mathieu_b>
2737
2738 -
2739
2740 =back
2741
2742 =over
2743
2744 =item C<gsl_sf_mathieu_a_coeff>
2745
2746 =item C<gsl_sf_mathieu_b_coeff >
2747
2748 -
2749
2750 =back
2751
2752 =over
2753
2754 =item C<gsl_sf_mathieu_alloc>
2755
2756 -
2757
2758 =back
2759
2760 =over
2761
2762 =item C<gsl_sf_mathieu_free>
2763
2764 -
2765
2766 =back
2767
2768 =over
2769
2770 =item C<gsl_sf_mathieu_ce >
2771
2772 =item C<gsl_sf_mathieu_se>
2773
2774 -
2775
2776 =back
2777
2778 =over
2779
2780 =item C<gsl_sf_mathieu_ce_array>
2781
2782 =item C<gsl_sf_mathieu_se_array >
2783
2784 -
2785
2786 =back
2787
2788 =over
2789
2790 =item C<gsl_sf_mathieu_Mc>
2791
2792 =item C<gsl_sf_mathieu_Ms>
2793
2794 -
2795
2796 =back
2797
2798 =over
2799
2800 =item C<gsl_sf_mathieu_Mc_array >
2801
2802 =item C<gsl_sf_mathieu_Ms_array>
2803
2804 -
2805
2806 =back
2807
2808 =over
2809
2810 =item C<gsl_sf_pow_int_e>
2811
2812 =item C<gsl_sf_pow_int >
2813
2814 -
2815
2816 =back
2817
2818 =over
2819
2820 =item C<gsl_sf_psi_int_e>
2821
2822 =item C<gsl_sf_psi_int>
2823
2824 -
2825
2826 =back
2827
2828 =over
2829
2830 =item C<gsl_sf_psi_e >
2831
2832 =item C<gsl_sf_psi>
2833
2834 -
2835
2836 =back
2837
2838 =over
2839
2840 =item C<gsl_sf_psi_1piy_e>
2841
2842 =item C<gsl_sf_psi_1piy >
2843
2844 -
2845
2846 =back
2847
2848 =over
2849
2850 =item C<gsl_sf_complex_psi_e>
2851
2852 -
2853
2854 =back
2855
2856 =over
2857
2858 =item C<gsl_sf_psi_1_int_e>
2859
2860 =item C<gsl_sf_psi_1_int >
2861
2862 -
2863
2864 =back
2865
2866 =over
2867
2868 =item C<gsl_sf_psi_1_e >
2869
2870 =item C<gsl_sf_psi_1>
2871
2872 -
2873
2874 =back
2875
2876 =over
2877
2878 =item C<gsl_sf_psi_n_e >
2879
2880 =item C<gsl_sf_psi_n>
2881
2882 -
2883
2884 =back
2885
2886 =over
2887
2888 =item C<gsl_sf_result_smash_e>
2889
2890 -
2891
2892 =back
2893
2894 =over
2895
2896 =item C<gsl_sf_synchrotron_1_e >
2897
2898 =item C<gsl_sf_synchrotron_1>
2899
2900 -
2901
2902 =back
2903
2904 =over
2905
2906 =item C<gsl_sf_synchrotron_2_e>
2907
2908 =item C<gsl_sf_synchrotron_2 >
2909
2910 -
2911
2912 =back
2913
2914 =over
2915
2916 =item C<gsl_sf_transport_2_e>
2917
2918 =item C<gsl_sf_transport_2>
2919
2920 -
2921
2922 =back
2923
2924 =over
2925
2926 =item C<gsl_sf_transport_3_e >
2927
2928 =item C<gsl_sf_transport_3>
2929
2930 -
2931
2932 =back
2933
2934 =over
2935
2936 =item C<gsl_sf_transport_4_e>
2937
2938 =item C<gsl_sf_transport_4 >
2939
2940 -
2941
2942 =back
2943
2944 =over
2945
2946 =item C<gsl_sf_transport_5_e>
2947
2948 =item C<gsl_sf_transport_5>
2949
2950 -
2951
2952 =back
2953
2954 =over
2955
2956 =item C<gsl_sf_sin_e >
2957
2958 =item C<gsl_sf_sin>
2959
2960 -
2961
2962 =back
2963
2964 =over
2965
2966 =item C<gsl_sf_cos_e>
2967
2968 =item C<gsl_sf_cos >
2969
2970 -
2971
2972 =back
2973
2974 =over
2975
2976 =item C<gsl_sf_hypot_e>
2977
2978 =item C<gsl_sf_hypot>
2979
2980 -
2981
2982 =back
2983
2984 =over
2985
2986 =item C<gsl_sf_complex_sin_e >
2987
2988 -
2989
2990 =back
2991
2992 =over
2993
2994 =item C<gsl_sf_complex_cos_e>
2995
2996 -
2997
2998 =back
2999
3000 =over
3001
3002 =item C<gsl_sf_complex_logsin_e>
3003
3004 -
3005
3006 =back
3007
3008 =over
3009
3010 =item C<gsl_sf_sinc_e >
3011
3012 =item C<gsl_sf_sinc>
3013
3014 -
3015
3016 =back
3017
3018 =over
3019
3020 =item C<gsl_sf_lnsinh_e>
3021
3022 =item C<gsl_sf_lnsinh >
3023
3024 -
3025
3026 =back
3027
3028 =over
3029
3030 =item C<gsl_sf_lncosh_e>
3031
3032 =item C<gsl_sf_lncosh>
3033
3034 -
3035
3036 =back
3037
3038 =over
3039
3040 =item C<gsl_sf_polar_to_rect >
3041
3042 -
3043
3044 =back
3045
3046 =over
3047
3048 =item C<gsl_sf_rect_to_polar>
3049
3050 -
3051
3052 =back
3053
3054 =over
3055
3056 =item C<gsl_sf_sin_err_e>
3057
3058 =item C<gsl_sf_cos_err_e >
3059
3060 -
3061
3062 =back
3063
3064 =over
3065
3066 =item C<gsl_sf_angle_restrict_symm_e>
3067
3068 =item C<gsl_sf_angle_restrict_symm>
3069
3070 -
3071
3072 =back
3073
3074 =over
3075
3076 =item C<gsl_sf_angle_restrict_pos_e >
3077
3078 =item C<gsl_sf_angle_restrict_pos>
3079
3080 -
3081
3082 =back
3083
3084 =over
3085
3086 =item C<gsl_sf_angle_restrict_symm_err_e>
3087
3088 =item C<gsl_sf_angle_restrict_pos_err_e >
3089
3090 =over
3091
3092 =item C<gsl_sf_atanint_e>
3093
3094 =item C<gsl_sf_atanint>
3095
3096 -These routines compute the Arctangent integral, which is defined as AtanInt(x) = \int_0^x dt \arctan(t)/t.
3097
3098 =back
3099
3100 =item C<gsl_sf_zeta_int_e >
3101
3102 =item C<gsl_sf_zeta_int>
3103
3104 =item C<gsl_sf_zeta_e gsl_sf_zeta >
3105
3106 =item C<gsl_sf_zetam1_e>
3107
3108 =item C<gsl_sf_zetam1>
3109
3110 =item C<gsl_sf_zetam1_int_e >
3111
3112 =item C<gsl_sf_zetam1_int>
3113
3114 =item C<gsl_sf_hzeta_e>
3115
3116 =item C<gsl_sf_hzeta >
3117
3118 =item C<gsl_sf_eta_int_e>
3119
3120 =item C<gsl_sf_eta_int>
3121
3122 =item C<gsl_sf_eta_e>
3123
3124 =item C<gsl_sf_eta >
3125
3126 =back
3127
3128 This module also contains the following constants used as mode in various of those functions :
3129
3130 =over
3131
3132 =item * GSL_PREC_DOUBLE - Double-precision, a relative accuracy of approximately 2 * 10^-16.
3133
3134 =item * GSL_PREC_SINGLE - Single-precision, a relative accuracy of approximately 10^-7.
3135
3136 =item * GSL_PREC_APPROX - Approximate values, a relative accuracy of approximately 5 * 10^-4.
3137
3138 =back
3139
3140  You can import the functions that you want to use by giving a space separated
3141  list to Math::GSL::SF when you use the package.  You can also write
3142  use Math::GSL::SF qw/:all/
3143  to use all avaible functions of the module. Note that
3144  the tag names begin with a colon.  Other tags are also available, here is a
3145  complete list of all tags for this module :
3146
3147 =over
3148
3149 =item C<airy>
3150
3151 =item C<bessel>
3152
3153 =item C<clausen>
3154
3155 =item C<hydrogenic>
3156
3157 =item C<coulumb>
3158
3159 =item C<coupling>
3160
3161 =item C<dawson>
3162
3163 =item C<debye>
3164
3165 =item C<dilog>
3166
3167 =item C<factorial>
3168
3169 =item C<misc>
3170
3171 =item C<elliptic>
3172
3173 =item C<error>
3174
3175 =item C<hypergeometric>
3176
3177 =item C<laguerre>
3178
3179 =item C<legendre>
3180
3181 =item C<gamma>
3182
3183 =item C<transport>
3184
3185 =item C<trig>
3186
3187 =item C<zeta>
3188
3189 =item C<eta>
3190
3191 =item C<vars>
3192
3193 =back
3194
3195 For more informations on the functions, we refer you to the GSL offcial
3196 documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
3197
3198 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/name_of_the_function_you_want
3199
3200 =head1 EXAMPLES
3201
3202 This example computes the dilogarithm of 1/10 :
3203
3204     use Math::GSL::SF qw/dilog/;
3205     my $x = gsl_sf_dilog(0.1);
3206     print "gsl_sf_dilog(0.1) = $x\n";
3207
3208 An example using Math::GSL::SF and gnuplot is in the B<examples/sf> folder of the source code.
3209
3210 =head1 AUTHORS
3211
3212 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
3213
3214 =head1 COPYRIGHT AND LICENSE
3215
3216 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
3217
3218 This program is free software; you can redistribute it and/or modify it
3219 under the same terms as Perl itself.
3220
3221 =cut
3222 %}