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_types.h"
   8     #include "gsl/gsl_version.h"
   9     #include "gsl/gsl_mode.h"
  10     #include "gsl/gsl_sf.h"
  11     #include "gsl/gsl_sf_airy.h"
  12     #include "gsl/gsl_sf_bessel.h"
  13     #include "gsl/gsl_sf_clausen.h"
  14     #include "gsl/gsl_sf_coulomb.h"
  15     #include "gsl/gsl_sf_coupling.h"
  16     #include "gsl/gsl_sf_dawson.h"
  17     #include "gsl/gsl_sf_debye.h"
  18     #include "gsl/gsl_sf_dilog.h"
  19     #include "gsl/gsl_sf_elementary.h"
  20     #include "gsl/gsl_sf_ellint.h"
  21     #include "gsl/gsl_sf_elljac.h"
  22     #include "gsl/gsl_sf_erf.h"
  23     #include "gsl/gsl_sf_exp.h"
  24     #include "gsl/gsl_sf_expint.h"
  25     #include "gsl/gsl_sf_fermi_dirac.h"
  26     #include "gsl/gsl_sf_gamma.h"
  27     #include "gsl/gsl_sf_gegenbauer.h"
  28     #include "gsl/gsl_sf_hyperg.h"
  29     #include "gsl/gsl_sf_laguerre.h"
  30     #include "gsl/gsl_sf_lambert.h"
  31     #include "gsl/gsl_sf_legendre.h"
  32     #include "gsl/gsl_sf_log.h"
  33 #ifdef GSL_VERSION &&  GSL_VERSION == "1.11"
  34     #include "gsl/gsl_sf_mathieu.h"
  35 #endif
  36     #include "gsl/gsl_sf_pow_int.h"
  37     #include "gsl/gsl_sf_psi.h"
  38     #include "gsl/gsl_sf_result.h"
  39     #include "gsl/gsl_sf_synchrotron.h"
  40     #include "gsl/gsl_sf_transport.h"
  41     #include "gsl/gsl_sf_trig.h"
  42     #include "gsl/gsl_sf_zeta.h"
  43 %}
  44 %include "gsl/gsl_types.h"
  45 %include "gsl/gsl_version.h"
  46 %include "gsl/gsl_mode.h"
  47 %include "gsl/gsl_sf.h"
  48 %include "gsl/gsl_sf_airy.h"
  49 %include "gsl/gsl_sf_bessel.h"
  50 %include "gsl/gsl_sf_clausen.h"
  51 %include "gsl/gsl_sf_coulomb.h"
  52 %include "gsl/gsl_sf_coupling.h"
  53 %include "gsl/gsl_sf_dawson.h"
  54 %include "gsl/gsl_sf_debye.h"
  55 %include "gsl/gsl_sf_dilog.h"
  56 %include "gsl/gsl_sf_elementary.h"
  57 %include "gsl/gsl_sf_ellint.h"
  58 %include "gsl/gsl_sf_elljac.h"
  59 %include "gsl/gsl_sf_erf.h"
  60 %include "gsl/gsl_sf_exp.h"
  61 %include "gsl/gsl_sf_expint.h"
  62 %include "gsl/gsl_sf_fermi_dirac.h"
  63 %include "gsl/gsl_sf_gamma.h"
  64 %include "gsl/gsl_sf_gegenbauer.h"
  65 %include "gsl/gsl_sf_hyperg.h"
  66 %include "gsl/gsl_sf_laguerre.h"
  67 %include "gsl/gsl_sf_lambert.h"
  68 %include "gsl/gsl_sf_legendre.h"
  69 %include "gsl/gsl_sf_log.h"
  70 #ifdef GSL_VERSION && GSL_VERSION == '1.11'
  71     %include "gsl/gsl_sf_mathieu.h"
  72 #endif
  73 %include "gsl/gsl_sf_pow_int.h"
  74 %include "gsl/gsl_sf_psi.h"
  75 %include "gsl/gsl_sf_result.h"
  76 %include "gsl/gsl_sf_synchrotron.h"
  77 %include "gsl/gsl_sf_transport.h"
  78 %include "gsl/gsl_sf_trig.h"
  79 %include "gsl/gsl_sf_zeta.h"
  80
  81
  82 %perlcode %{
  83
  84 @EXPORT_airy = qw/
  85                gsl_sf_airy_Ai_e
  86                gsl_sf_airy_Ai
  87                gsl_sf_airy_Bi_e
  88                gsl_sf_airy_Bi
  89                gsl_sf_airy_Ai_scaled_e
  90                gsl_sf_airy_Ai_scaled
  91                gsl_sf_airy_Bi_scaled_e
  92                gsl_sf_airy_Bi_scaled
  93                gsl_sf_airy_Ai_deriv_e
  94                gsl_sf_airy_Ai_deriv
  95                gsl_sf_airy_Bi_deriv_e
  96                gsl_sf_airy_Bi_deriv
  97                gsl_sf_airy_Ai_deriv_scaled_e
  98                gsl_sf_airy_Ai_deriv_scaled
  99                gsl_sf_airy_Bi_deriv_scaled_e
 100                gsl_sf_airy_Bi_deriv_scaled
 101                gsl_sf_airy_zero_Ai_e
 102                gsl_sf_airy_zero_Ai
 103                gsl_sf_airy_zero_Bi_e
 104                gsl_sf_airy_zero_Bi
 105                gsl_sf_airy_zero_Ai_deriv_e
 106                gsl_sf_airy_zero_Ai_deriv
 107                gsl_sf_airy_zero_Bi_deriv_e
 108                gsl_sf_airy_zero_Bi_deriv
 109                /;
 110 @EXPORT_bessel =qw/
 111                gsl_sf_bessel_J0_e
 112                gsl_sf_bessel_J0
 113                gsl_sf_bessel_J1_e
 114                gsl_sf_bessel_J1
 115                gsl_sf_bessel_Jn_e
 116                gsl_sf_bessel_Jn
 117                gsl_sf_bessel_Jn_array
 118                gsl_sf_bessel_Y0_e
 119                gsl_sf_bessel_Y0
 120                gsl_sf_bessel_Y1_e
 121                gsl_sf_bessel_Y1
 122                gsl_sf_bessel_Yn_e
 123                gsl_sf_bessel_Yn
 124                gsl_sf_bessel_Yn_array
 125                gsl_sf_bessel_I0_e
 126                gsl_sf_bessel_I0
 127                gsl_sf_bessel_I1_e
 128                gsl_sf_bessel_I1
 129                gsl_sf_bessel_In_e
 130                gsl_sf_bessel_In
 131                gsl_sf_bessel_In_array
 132                gsl_sf_bessel_I0_scaled_e
 133                gsl_sf_bessel_I0_scaled
 134                gsl_sf_bessel_I1_scaled_e
 135                gsl_sf_bessel_I1_scaled
 136                gsl_sf_bessel_In_scaled_e
 137                gsl_sf_bessel_In_scaled
 138                gsl_sf_bessel_In_scaled_array
 139                gsl_sf_bessel_K0_e
 140                gsl_sf_bessel_K0
 141                gsl_sf_bessel_K1_e
 142                gsl_sf_bessel_K1
 143                gsl_sf_bessel_Kn_e
 144                gsl_sf_bessel_Kn
 145                gsl_sf_bessel_Kn_array
 146                gsl_sf_bessel_K0_scaled_e
 147                gsl_sf_bessel_K0_scaled
 148                gsl_sf_bessel_K1_scaled_e
 149                gsl_sf_bessel_K1_scaled
 150                gsl_sf_bessel_Kn_scaled_e
 151                gsl_sf_bessel_Kn_scaled
 152                gsl_sf_bessel_Kn_scaled_array
 153                gsl_sf_bessel_j0_e
 154                gsl_sf_bessel_j0
 155                gsl_sf_bessel_j1_e
 156                gsl_sf_bessel_j1
 157                gsl_sf_bessel_j2_e
 158                gsl_sf_bessel_j2
 159                gsl_sf_bessel_jl_e
 160                gsl_sf_bessel_jl
 161                gsl_sf_bessel_jl_array
 162                gsl_sf_bessel_jl_steed_array
 163                gsl_sf_bessel_y0_e
 164                gsl_sf_bessel_y0
 165                gsl_sf_bessel_y1_e
 166                gsl_sf_bessel_y1
 167                gsl_sf_bessel_y2_e
 168                gsl_sf_bessel_y2
 169                gsl_sf_bessel_yl_e
 170                gsl_sf_bessel_yl
 171                gsl_sf_bessel_yl_array
 172                gsl_sf_bessel_i0_scaled_e
 173                gsl_sf_bessel_i0_scaled
 174                gsl_sf_bessel_i1_scaled_e
 175                gsl_sf_bessel_i1_scaled
 176                gsl_sf_bessel_i2_scaled_e
 177                gsl_sf_bessel_i2_scaled
 178                gsl_sf_bessel_il_scaled_e
 179                gsl_sf_bessel_il_scaled
 180                gsl_sf_bessel_il_scaled_array
 181                gsl_sf_bessel_k0_scaled_e
 182                gsl_sf_bessel_k0_scaled
 183                gsl_sf_bessel_k1_scaled_e
 184                gsl_sf_bessel_k1_scaled
 185                gsl_sf_bessel_k2_scaled_e
 186                gsl_sf_bessel_k2_scaled
 187                gsl_sf_bessel_kl_scaled_e
 188                gsl_sf_bessel_kl_scaled
 189                gsl_sf_bessel_kl_scaled_array
 190                gsl_sf_bessel_Jnu_e
 191                gsl_sf_bessel_Jnu
 192                gsl_sf_bessel_Ynu_e
 193                gsl_sf_bessel_Ynu
 194                gsl_sf_bessel_sequence_Jnu_e
 195                gsl_sf_bessel_Inu_scaled_e
 196                gsl_sf_bessel_Inu_scaled
 197                gsl_sf_bessel_Inu_e
 198                gsl_sf_bessel_Inu
 199                gsl_sf_bessel_Knu_scaled_e
 200                gsl_sf_bessel_Knu_scaled
 201                gsl_sf_bessel_Knu_e
 202                gsl_sf_bessel_Knu
 203                gsl_sf_bessel_lnKnu_e
 204                gsl_sf_bessel_lnKnu
 205                gsl_sf_bessel_zero_J0_e
 206                gsl_sf_bessel_zero_J0
 207                gsl_sf_bessel_zero_J1_e
 208                gsl_sf_bessel_zero_J1
 209                gsl_sf_bessel_zero_Jnu_e
 210                gsl_sf_bessel_zero_Jnu
 211                /;
 212 @EXPORT_clausen = qw/
 213                gsl_sf_clausen_e
 214                gsl_sf_clausen
 215                /;
 216 @EXPORT_hydrogenic =  qw/
 217                gsl_sf_hydrogenicR_1_e
 218                gsl_sf_hydrogenicR_1
 219                gsl_sf_hydrogenicR_e
 220                gsl_sf_hydrogenicR
 221                /;
 222 @EXPORT_coulumb = qw/
 223                gsl_sf_coulomb_wave_FG_e
 224                gsl_sf_coulomb_wave_F_array
 225                gsl_sf_coulomb_wave_FG_array
 226                gsl_sf_coulomb_wave_FGp_array
 227                gsl_sf_coulomb_wave_sphF_array
 228                gsl_sf_coulomb_CL_e
 229                gsl_sf_coulomb_CL_array
 230                /;
 231 @EXPORT_coupling = qw/
 232                gsl_sf_coupling_3j_e
 233                gsl_sf_coupling_3j
 234                gsl_sf_coupling_6j_e
 235                gsl_sf_coupling_6j
 236                gsl_sf_coupling_RacahW_e
 237                gsl_sf_coupling_RacahW
 238                gsl_sf_coupling_9j_e
 239                gsl_sf_coupling_9j
 240                gsl_sf_coupling_6j_INCORRECT_e
 241                gsl_sf_coupling_6j_INCORRECT
 242                /;
 243 @EXPORT_dawson = qw/
 244                gsl_sf_dawson_e
 245                gsl_sf_dawson
 246                /;
 247 @EXPORT_debye = qw/
 248                gsl_sf_debye_1_e
 249                gsl_sf_debye_1
 250                gsl_sf_debye_2_e
 251                gsl_sf_debye_2
 252                gsl_sf_debye_3_e
 253                gsl_sf_debye_3
 254                gsl_sf_debye_4_e
 255                gsl_sf_debye_4
 256                gsl_sf_debye_5_e
 257                gsl_sf_debye_5
 258                gsl_sf_debye_6_e
 259                gsl_sf_debye_6
 260                /;
 261 @EXPORT_dilog = qw/
 262                gsl_sf_dilog_e
 263                gsl_sf_dilog
 264                gsl_sf_complex_dilog_xy_e
 265                gsl_sf_complex_dilog_e
 266                /;
 267
 268 @EXPORT_misc = qw/
 269                gsl_sf_complex_spence_xy_e
 270                gsl_sf_multiply_e
 271                gsl_sf_multiply
 272                gsl_sf_multiply_err_e
 273                /;
 274 @EXPORT_elliptic = qw/
 275                gsl_sf_ellint_Kcomp_e
 276                gsl_sf_ellint_Kcomp
 277                gsl_sf_ellint_Ecomp_e
 278                gsl_sf_ellint_Ecomp
 279                gsl_sf_ellint_Pcomp_e
 280                gsl_sf_ellint_Pcomp
 281                gsl_sf_ellint_Dcomp_e
 282                gsl_sf_ellint_Dcomp
 283                gsl_sf_ellint_F_e
 284                gsl_sf_ellint_F
 285                gsl_sf_ellint_E_e
 286                gsl_sf_ellint_E
 287                gsl_sf_ellint_P_e
 288                gsl_sf_ellint_P
 289                gsl_sf_ellint_D_e
 290                gsl_sf_ellint_D
 291                gsl_sf_ellint_RC_e
 292                gsl_sf_ellint_RC
 293                gsl_sf_ellint_RD_e
 294                gsl_sf_ellint_RD
 295                gsl_sf_ellint_RF_e
 296                gsl_sf_ellint_RF
 297                gsl_sf_ellint_RJ_e
 298                gsl_sf_ellint_RJ
 299                gsl_sf_elljac_e
 300                /;
 301 @EXPORT_error = qw/
 302                gsl_sf_erfc_e
 303                gsl_sf_erfc
 304                gsl_sf_log_erfc_e
 305                gsl_sf_log_erfc
 306                gsl_sf_erf_e
 307                gsl_sf_erf
 308                gsl_sf_erf_Z_e
 309                gsl_sf_erf_Q_e
 310                gsl_sf_erf_Z
 311                gsl_sf_erf_Q
 312                gsl_sf_hazard_e
 313                gsl_sf_hazard
 314                /;
 315 push @EXPORT_misc, qw/
 316                gsl_sf_exp_e
 317                gsl_sf_exp
 318                gsl_sf_exp_e10_e
 319                gsl_sf_exp_mult_e
 320                gsl_sf_exp_mult
 321                gsl_sf_exp_mult_e10_e
 322                gsl_sf_expm1_e
 323                gsl_sf_expm1
 324                gsl_sf_exprel_e
 325                gsl_sf_exprel
 326                gsl_sf_exprel_2_e
 327                gsl_sf_exprel_2
 328                gsl_sf_exprel_n_e
 329                gsl_sf_exprel_n
 330                gsl_sf_exp_err_e
 331                gsl_sf_exp_err_e10_e
 332                gsl_sf_exp_mult_err_e
 333                gsl_sf_exp_mult_err_e10_e
 334                gsl_sf_expint_E1_e
 335                gsl_sf_expint_E1
 336                gsl_sf_expint_E2_e
 337                gsl_sf_expint_E2
 338                gsl_sf_expint_En_e
 339                gsl_sf_expint_En
 340                gsl_sf_expint_E1_scaled_e
 341                gsl_sf_expint_E1_scaled
 342                gsl_sf_expint_E2_scaled_e
 343                gsl_sf_expint_E2_scaled
 344                gsl_sf_expint_En_scaled_e
 345                gsl_sf_expint_En_scaled
 346                gsl_sf_expint_Ei_e
 347                gsl_sf_expint_Ei
 348                gsl_sf_expint_Ei_scaled_e
 349                gsl_sf_expint_Ei_scaled
 350                gsl_sf_Shi_e
 351                gsl_sf_Shi
 352                gsl_sf_Chi_e
 353                gsl_sf_Chi
 354                gsl_sf_expint_3_e
 355                gsl_sf_expint_3
 356                gsl_sf_Si_e
 357                gsl_sf_Si
 358                gsl_sf_Ci_e
 359                gsl_sf_Ci
 360                /;
 361 @EXPORT_fermi_dirac = qw/
 362                gsl_sf_fermi_dirac_m1_e
 363                gsl_sf_fermi_dirac_m1
 364                gsl_sf_fermi_dirac_0_e
 365                gsl_sf_fermi_dirac_0
 366                gsl_sf_fermi_dirac_1_e
 367                gsl_sf_fermi_dirac_1
 368                gsl_sf_fermi_dirac_2_e
 369                gsl_sf_fermi_dirac_2
 370                gsl_sf_fermi_dirac_int_e
 371                gsl_sf_fermi_dirac_int
 372                gsl_sf_fermi_dirac_mhalf_e
 373                gsl_sf_fermi_dirac_mhalf
 374                gsl_sf_fermi_dirac_half_e
 375                gsl_sf_fermi_dirac_half
 376                gsl_sf_fermi_dirac_3half_e
 377                gsl_sf_fermi_dirac_3half
 378                gsl_sf_fermi_dirac_inc_0_e
 379                gsl_sf_fermi_dirac_inc_0
 380                /;
 381 @EXPORT_legendre = qw/
 382                gsl_sf_legendre_Pl_e
 383                gsl_sf_legendre_Pl
 384                gsl_sf_legendre_Pl_array
 385                gsl_sf_legendre_Pl_deriv_array
 386                gsl_sf_legendre_P1_e
 387                gsl_sf_legendre_P2_e
 388                gsl_sf_legendre_P3_e
 389                gsl_sf_legendre_P1
 390                gsl_sf_legendre_P2
 391                gsl_sf_legendre_P3
 392                gsl_sf_legendre_Q0_e
 393                gsl_sf_legendre_Q0
 394                gsl_sf_legendre_Q1_e
 395                gsl_sf_legendre_Q1
 396                gsl_sf_legendre_Ql_e
 397                gsl_sf_legendre_Ql
 398                gsl_sf_legendre_Plm_e
 399                gsl_sf_legendre_Plm
 400                gsl_sf_legendre_Plm_array
 401                gsl_sf_legendre_Plm_deriv_array
 402                gsl_sf_legendre_sphPlm_e
 403                gsl_sf_legendre_sphPlm
 404                gsl_sf_legendre_sphPlm_array
 405                gsl_sf_legendre_sphPlm_deriv_array
 406                gsl_sf_legendre_array_size
 407                gsl_sf_legendre_H3d_0_e
 408                gsl_sf_legendre_H3d_0
 409                gsl_sf_legendre_H3d_1_e
 410                gsl_sf_legendre_H3d_1
 411                gsl_sf_legendre_H3d_e
 412                gsl_sf_legendre_H3d
 413                gsl_sf_legendre_H3d_array
 414                /;
 415 @EXPORT_gamma = qw/
 416                gsl_sf_lngamma_e
 417                gsl_sf_lngamma
 418                gsl_sf_lngamma_sgn_e
 419                gsl_sf_gamma_e
 420                gsl_sf_gamma
 421                gsl_sf_gammastar_e
 422                gsl_sf_gammastar
 423                gsl_sf_gammainv_e
 424                gsl_sf_gammainv
 425                gsl_sf_lngamma_complex_e
 426                gsl_sf_gamma_inc_Q_e
 427                gsl_sf_gamma_inc_Q
 428                gsl_sf_gamma_inc_P_e
 429                gsl_sf_gamma_inc_P
 430                gsl_sf_gamma_inc_e
 431                gsl_sf_gamma_inc
 432                /;
 433 @EXPORT_factorial = qw/
 434                gsl_sf_fact_e
 435                gsl_sf_fact
 436                gsl_sf_doublefact_e
 437                gsl_sf_doublefact
 438                gsl_sf_lnfact_e
 439                gsl_sf_lnfact
 440                gsl_sf_lndoublefact_e
 441                gsl_sf_lndoublefact
 442                /;
 443 @EXPORT_hypergeometric = qw/
 444                gsl_sf_hyperg_0F1_e
 445                gsl_sf_hyperg_0F1
 446                gsl_sf_hyperg_1F1_int_e
 447                gsl_sf_hyperg_1F1_int
 448                gsl_sf_hyperg_1F1_e
 449                gsl_sf_hyperg_1F1
 450                gsl_sf_hyperg_U_int_e
 451                gsl_sf_hyperg_U_int
 452                gsl_sf_hyperg_U_int_e10_e
 453                gsl_sf_hyperg_U_e
 454                gsl_sf_hyperg_U
 455                gsl_sf_hyperg_U_e10_e
 456                gsl_sf_hyperg_2F1_e
 457                gsl_sf_hyperg_2F1
 458                gsl_sf_hyperg_2F1_conj_e
 459                gsl_sf_hyperg_2F1_conj
 460                gsl_sf_hyperg_2F1_renorm_e
 461                gsl_sf_hyperg_2F1_renorm
 462                gsl_sf_hyperg_2F1_conj_renorm_e
 463                gsl_sf_hyperg_2F1_conj_renorm
 464                gsl_sf_hyperg_2F0_e
 465                gsl_sf_hyperg_2F0
 466                /;
 467 @EXPORT_laguerre = qw/
 468                gsl_sf_laguerre_1_e
 469                gsl_sf_laguerre_2_e
 470                gsl_sf_laguerre_3_e
 471                gsl_sf_laguerre_1
 472                gsl_sf_laguerre_2
 473                gsl_sf_laguerre_3
 474                gsl_sf_laguerre_n_e
 475                gsl_sf_laguerre_n
 476                /;
 477 push @EXPORT_misc, qw/
 478                gsl_sf_taylorcoeff_e
 479                gsl_sf_taylorcoeff
 480                gsl_sf_lnchoose_e
 481                gsl_sf_lnchoose
 482                gsl_sf_choose_e
 483                gsl_sf_choose
 484                gsl_sf_lnpoch_e
 485                gsl_sf_lnpoch
 486                gsl_sf_lnpoch_sgn_e
 487                gsl_sf_poch_e
 488                gsl_sf_poch
 489                gsl_sf_pochrel_e
 490                gsl_sf_pochrel
 491                gsl_sf_lnbeta_e
 492                gsl_sf_lnbeta
 493                gsl_sf_lnbeta_sgn_e
 494                gsl_sf_beta_e
 495                gsl_sf_beta
 496                gsl_sf_beta_inc_e
 497                gsl_sf_beta_inc
 498                gsl_sf_gegenpoly_1_e
 499                gsl_sf_gegenpoly_2_e
 500                gsl_sf_gegenpoly_3_e
 501                gsl_sf_gegenpoly_1
 502                gsl_sf_gegenpoly_2
 503                gsl_sf_gegenpoly_3
 504                gsl_sf_gegenpoly_n_e
 505                gsl_sf_gegenpoly_n
 506                gsl_sf_gegenpoly_array
 507                gsl_sf_lambert_W0_e
 508                gsl_sf_lambert_W0
 509                gsl_sf_lambert_Wm1_e
 510                gsl_sf_lambert_Wm1
 511                gsl_sf_conicalP_half_e
 512                gsl_sf_conicalP_half
 513                gsl_sf_conicalP_mhalf_e
 514                gsl_sf_conicalP_mhalf
 515                gsl_sf_conicalP_0_e
 516                gsl_sf_conicalP_0
 517                gsl_sf_conicalP_1_e
 518                gsl_sf_conicalP_1
 519                gsl_sf_conicalP_sph_reg_e
 520                gsl_sf_conicalP_sph_reg
 521                gsl_sf_conicalP_cyl_reg_e
 522                gsl_sf_conicalP_cyl_reg
 523                gsl_sf_log_e
 524                gsl_sf_log
 525                gsl_sf_log_abs_e
 526                gsl_sf_log_abs
 527                gsl_sf_complex_log_e
 528                gsl_sf_log_1plusx_e
 529                gsl_sf_log_1plusx
 530                gsl_sf_log_1plusx_mx_e
 531                gsl_sf_log_1plusx_mx
 532                gsl_sf_pow_int_e
 533                gsl_sf_pow_int
 534                gsl_sf_psi_int_e
 535                gsl_sf_psi_int
 536                gsl_sf_psi_e
 537                gsl_sf_psi
 538                gsl_sf_psi_1piy_e
 539                gsl_sf_psi_1piy
 540                gsl_sf_complex_psi_e
 541                gsl_sf_psi_1_int_e
 542                gsl_sf_psi_1_int
 543                gsl_sf_psi_1_e
 544                gsl_sf_psi_1
 545                gsl_sf_psi_n_e
 546                gsl_sf_psi_n
 547                gsl_sf_result_smash_e
 548                gsl_sf_synchrotron_1_e
 549                gsl_sf_synchrotron_1
 550                gsl_sf_synchrotron_2_e
 551                gsl_sf_synchrotron_2
 552                /;
 553 @EXPORT_mathieu = qw/
 554                gsl_sf_mathieu_a_array
 555                gsl_sf_mathieu_b_array
 556                gsl_sf_mathieu_a
 557                gsl_sf_mathieu_b
 558                gsl_sf_mathieu_a_coeff
 559                gsl_sf_mathieu_b_coeff
 560                gsl_sf_mathieu_alloc
 561                gsl_sf_mathieu_free
 562                gsl_sf_mathieu_ce
 563                gsl_sf_mathieu_se
 564                gsl_sf_mathieu_ce_array
 565                gsl_sf_mathieu_se_array
 566                gsl_sf_mathieu_Mc
 567                gsl_sf_mathieu_Ms
 568                gsl_sf_mathieu_Mc_array
 569                gsl_sf_mathieu_Ms_array
 570                /;
 571 @EXPORT_transport = qw/
 572                gsl_sf_transport_2_e
 573                gsl_sf_transport_2
 574                gsl_sf_transport_3_e
 575                gsl_sf_transport_3
 576                gsl_sf_transport_4_e
 577                gsl_sf_transport_4
 578                gsl_sf_transport_5_e
 579                gsl_sf_transport_5
 580                /;
 581 @EXPORT_trig = qw/
 582                gsl_sf_sin_e
 583                gsl_sf_sin
 584                gsl_sf_sin_pi_x_e
 585                gsl_sf_cos_e
 586                gsl_sf_cos_pi_x_e
 587                gsl_sf_cos
 588                gsl_sf_hypot_e
 589                gsl_sf_hypot
 590                gsl_sf_complex_sin_e
 591                gsl_sf_complex_cos_e
 592                gsl_sf_complex_logsin_e
 593                gsl_sf_sinc_e
 594                gsl_sf_sinc
 595                gsl_sf_lnsinh_e
 596                gsl_sf_lnsinh
 597                gsl_sf_lncosh_e
 598                gsl_sf_lncosh
 599                gsl_sf_polar_to_rect
 600                gsl_sf_rect_to_polar
 601                gsl_sf_sin_err_e
 602                gsl_sf_cos_err_e
 603                gsl_sf_angle_restrict_symm_e
 604                gsl_sf_angle_restrict_symm
 605                gsl_sf_angle_restrict_pos_e
 606                gsl_sf_angle_restrict_pos
 607                gsl_sf_angle_restrict_symm_err_e
 608                gsl_sf_angle_restrict_pos_err_e
 609                gsl_sf_atanint_e
 610                gsl_sf_atanint
 611                /;
 612 @EXPORT_zeta = qw/
 613                gsl_sf_zeta_int_e
 614                gsl_sf_zeta_int
 615                gsl_sf_zeta_e
 616                gsl_sf_zeta
 617                gsl_sf_zetam1_e
 618                gsl_sf_zetam1
 619                gsl_sf_zetam1_int_e
 620                gsl_sf_zetam1_int
 621                gsl_sf_hzeta_e
 622                gsl_sf_hzeta
 623                /;
 624 @EXPORT_eta = qw/
 625                gsl_sf_eta_int_e
 626                gsl_sf_eta_int
 627                gsl_sf_eta_e
 628                gsl_sf_eta
 629                /;
 630 @EXPORT_vars = qw/
 631                GSL_SF_GAMMA_XMAX
 632                GSL_SF_FACT_NMAX
 633                GSL_SF_DOUBLEFACT_NMAX
 634                GSL_SF_MATHIEU_COEFF
 635                /;
 636
 637 @EXPORT_OK = (
 638                @EXPORT_airy, @EXPORT_bessel, @EXPORT_clausen, @EXPORT_hydrogenic,
 639                @EXPORT_coulumb, @EXPORT_coupling, @EXPORT_dawson, @EXPORT_debye,
 640                @EXPORT_dilog, @EXPORT_misc, @EXPORT_elliptic, @EXPORT_error, @EXPORT_legendre,
 641                @EXPORT_gamma, @EXPORT_transport, @EXPORT_trig, @EXPORT_zeta, @EXPORT_eta,
 642                @EXPORT_vars
 643              );
 644
 645 %EXPORT_TAGS = (
 646                  all            => [ @EXPORT_OK ],
 647                  airy           => [ @EXPORT_airy ],
 648                  bessel         => [ @EXPORT_bessel ],
 649                  clausen        => [ @EXPORT_clausen ],
 650                  coulumb        => [ @EXPORT_coulumb ],
 651                  coupling       => [ @EXPORT_coupling ],
 652                  dawson         => [ @EXPORT_dawson ],
 653                  debye          => [ @EXPORT_debye ],
 654                  dilog          => [ @EXPORT_dilog ],
 655                  eta            => [ @EXPORT_eta ],
 656                  elliptic       => [ @EXPORT_elliptic ],
 657                  error          => [ @EXPORT_error ],
 658                  factorial      => [ @EXPORT_factorial ],
 659                  gamma          => [ @EXPORT_gamma ],
 660                  hydrogenic     => [ @EXPORT_hydrogenic ],
 661                  hypergeometric => [ @EXPORT_hypergeometric ],
 662                  laguerre       => [ @EXPORT_laguerre ],
 663                  legendre       => [ @EXPORT_legendre ],
 664                  mathieu        => [ @EXPORT_mathieu ],
 665                  misc           => [ @EXPORT_misc ],
 666                  transport      => [ @EXPORT_transport ],
 667                  trig           => [ @EXPORT_trig ],
 668                  vars           => [ @EXPORT_vars ],
 669                  zeta           => [ @EXPORT_zeta ],
 670                 );
 671
 672 __END__
 673
 674 =head1 NAME
 675
 676 Math::GSL::SF - Special Functions
 677
 678 =head1 SYNOPSIS
 679
 680     use Math::GSL::SF qw /:all/;
 681
 682 =head1 DESCRIPTION
 683
 684 This module contains a data structure named gsl_sf_result. To create a new one use
 685
 686     $r = Math::GSL::SF::gsl_sf_result_struct->new;
 687
 688 You can then access the elements of the structure in this way :
 689
 690     my $val   = $r->{val};
 691
 692     my $error = $r->{err};
 693
 694 Here is a list of all included functions:
 695
 696 =over
 697
 698 =item C<gsl_sf_airy_Ai_e($x, $mode)>
 699
 700 =item C<gsl_sf_airy_Ai($x, $mode, $result)>
 701
 702 - These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 703
 704 =back
 705
 706 =over
 707
 708 =item C<gsl_sf_airy_Bi_e($x, $mode, $result)>
 709
 710 =item C<gsl_sf_airy_Bi($x, $mode)>
 711
 712 - These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 713
 714 =back
 715
 716 =over
 717
 718 =item C<gsl_sf_airy_Ai_scaled_e($x, $mode, $result)>
 719
 720 =item C<gsl_sf_airy_Ai_scaled($x, $mode)>
 721
 722 - These routines compute a scaled version of the Airy function S_A($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. $result is a gsl_sf_result structure.
 723
 724 =back
 725
 726 =over
 727
 728 =item C<gsl_sf_airy_Bi_scaled_e($x, $mode, $result)>
 729
 730 =item C<gsl_sf_airy_Bi_scaled($x, $mode)>
 731
 732 - These routines compute a scaled version of the Airy function S_B($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. $result is a gsl_sf_result structure.
 733
 734 =back
 735
 736 =over
 737
 738 =item C<gsl_sf_airy_Ai_deriv_e($x, $mode, $result)>
 739
 740 =item C<gsl_sf_airy_Ai_deriv($x, $mode)>
 741
 742 - These routines compute the Airy function derivative Ai'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 743
 744 =back
 745
 746 =over
 747
 748 =item C<gsl_sf_airy_Bi_deriv_e($x, $mode, $result)>
 749
 750 =item C<gsl_sf_airy_Bi_deriv($x, $mode)>
 751
 752 -These routines compute the Airy function derivative Bi'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 753
 754 =back
 755
 756 =over
 757
 758 =item C<gsl_sf_airy_Ai_deriv_scaled_e($x, $mode, $result)>
 759
 760 =item C<gsl_sf_airy_Ai_deriv_scaled($x, $mode)>
 761
 762 -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. $result is a gsl_sf_result structure.
 763
 764 =back
 765
 766 =over
 767
 768 =item C<gsl_sf_airy_Bi_deriv_scaled_e($x, $mode, $result)>
 769
 770 =item C<gsl_sf_airy_Bi_deriv_scaled($x, $mode)>
 771
 772 -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. $result is a gsl_sf_result structure.
 773
 774 =back
 775
 776 =over
 777
 778 =item C<gsl_sf_airy_zero_Ai_e($s, $result)>
 779
 780 =item C<gsl_sf_airy_zero_Ai($s)>
 781
 782 -These routines compute the location of the s-th zero of the Airy function Ai($x). $result is a gsl_sf_result structure.
 783
 784 =back
 785
 786 =over
 787
 788 =item C<gsl_sf_airy_zero_Bi_e($s, $result)>
 789
 790 =item C<gsl_sf_airy_zero_Bi($s)>
 791
 792 -These routines compute the location of the s-th zero of the Airy function Bi($x). $result is a gsl_sf_result structure.
 793
 794 =back
 795
 796 =over
 797
 798 =item C<gsl_sf_airy_zero_Ai_deriv_e($s, $result)>
 799
 800 =item C<gsl_sf_airy_zero_Ai_deriv($s)>
 801
 802 -These routines compute the location of the s-th zero of the Airy function derivative Ai'(x). $result is a gsl_sf_result structure.
 803
 804 =back
 805
 806 =over
 807
 808 =item C<gsl_sf_airy_zero_Bi_deriv_e($s, $result)>
 809
 810 =item C<gsl_sf_airy_zero_Bi_deriv($s)>
 811
 812 - These routines compute the location of the s-th zero of the Airy function derivative Bi'(x). $result is a gsl_sf_result structure.
 813
 814 =back
 815
 816 =over
 817
 818 =item C<gsl_sf_bessel_J0_e($x, $result)>
 819
 820 =item C<gsl_sf_bessel_J0($x)>
 821
 822 -These routines compute the regular cylindrical Bessel function of zeroth order, J_0($x). $result is a gsl_sf_result structure.
 823
 824 =back
 825
 826 =over
 827
 828 =item C<gsl_sf_bessel_J1_e($x, $result)>
 829
 830 =item C<gsl_sf_bessel_J1($x)>
 831
 832 - These routines compute the regular cylindrical Bessel function of first order, J_1($x). $result is a gsl_sf_result structure.
 833
 834 =back
 835
 836 =over
 837
 838 =item C<gsl_sf_bessel_Jn_e($n, $x, $result)>
 839
 840 =item C<gsl_sf_bessel_Jn($n, $x)>
 841
 842 -These routines compute the regular cylindrical Bessel function of order n, J_n($x).
 843
 844 =back
 845
 846 =over
 847
 848 =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 $result_array. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.
 849
 850 =back
 851
 852 =over
 853
 854 =item C<gsl_sf_bessel_Y0_e($x, $result)>
 855
 856 =item C<gsl_sf_bessel_Y0($x)>
 857
 858 - These routines compute the irregular spherical Bessel function of zeroth order, y_0(x) = -\cos(x)/x.
 859
 860 =back
 861
 862 =over
 863
 864 =item C<gsl_sf_bessel_Y1_e($x, $result)>
 865
 866 =item C<gsl_sf_bessel_Y1($x)>
 867
 868 -These routines compute the irregular spherical Bessel function of first order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
 869
 870 =back
 871
 872 =over
 873
 874 =item C<gsl_sf_bessel_Yn_e>($n, $x, $result)
 875
 876 =item C<gsl_sf_bessel_Yn($n, $x)>
 877
 878 -These routines compute the irregular cylindrical Bessel function of order $n, Y_n(x), for x>0.
 879
 880 =back
 881
 882 =over
 883
 884 =item C<gsl_sf_bessel_Yn_array>
 885
 886 -
 887
 888 =back
 889
 890 =over
 891
 892 =item C<gsl_sf_bessel_I0_e($x, $result)>
 893
 894 =item C<gsl_sf_bessel_I0($x)>
 895
 896 -These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).
 897
 898 =back
 899
 900 =over
 901
 902 =item C<gsl_sf_bessel_I1_e($x, $result)>
 903
 904 =item C<gsl_sf_bessel_I1($x)>
 905
 906 -These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).
 907
 908 =back
 909
 910 =over
 911
 912 =item C<gsl_sf_bessel_In_e($n, $x, $result)>
 913
 914 =item C<gsl_sf_bessel_In($n, $x)>
 915
 916 -These routines compute the regular modified cylindrical Bessel function of order $n, I_n(x).
 917
 918 =back
 919
 920 =over
 921
 922 =item C<gsl_sf_bessel_In_array>
 923
 924 -
 925
 926 =back
 927
 928 =over
 929
 930 =item C<gsl_sf_bessel_I0_scaled_e($x, $result)>
 931
 932 =item C<gsl_sf_bessel_I0_scaled($x)>
 933
 934 -These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).
 935
 936 =back
 937
 938 =over
 939
 940 =item C<gsl_sf_bessel_I1_scaled_e($x, $result)>
 941
 942 =item C<gsl_sf_bessel_I1_scaled($x)>
 943
 944 -These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).
 945
 946 =back
 947
 948 =over
 949
 950 =item C<gsl_sf_bessel_In_scaled_e($n, $x, $result)>
 951
 952 =item C<gsl_sf_bessel_In_scaled($n, $x)>
 953
 954 -These routines compute the scaled regular modified cylindrical Bessel function of order $n, \exp(-|x|) I_n(x)
 955
 956 =back
 957
 958 =over
 959
 960 =item C<gsl_sf_bessel_In_scaled_array>
 961
 962 -
 963
 964 =back
 965
 966 =over
 967
 968 =item C<gsl_sf_bessel_K0_e($x, $result)>
 969
 970 =item C<gsl_sf_bessel_K0($x)>
 971
 972 -These routines compute the irregular modified cylindrical Bessel function of zeroth order, K_0(x), for x > 0.
 973
 974 =back
 975
 976 =over
 977
 978 =item C<gsl_sf_bessel_K1_e($x, $result)>
 979
 980 =item C<gsl_sf_bessel_K1($x)>
 981
 982 -These routines compute the irregular modified cylindrical Bessel function of first order, K_1(x), for x > 0.
 983
 984 =back
 985
 986 =over
 987
 988 =item C<gsl_sf_bessel_Kn_e($n, $x, $result)>
 989
 990 =item C<gsl_sf_bessel_Kn($n, $x)>
 991
 992 -These routines compute the irregular modified cylindrical Bessel function of order $n, K_n(x), for x > 0.
 993
 994 =back
 995
 996 =over
 997
 998 =item C<gsl_sf_bessel_Kn_array>
 999
1000 -
1001
1002 =back
1003
1004 =over
1005
1006 =item C<gsl_sf_bessel_K0_scaled_e($x, $result)>
1007
1008 =item C<gsl_sf_bessel_K0_scaled($x)>
1009
1010 -These routines compute the scaled irregular modified cylindrical Bessel function of zeroth order \exp(x) K_0(x) for x>0.
1011
1012 =back
1013
1014 =over
1015
1016 =item C<gsl_sf_bessel_K1_scaled_e($x, $result)>
1017
1018 =item C<gsl_sf_bessel_K1_scaled($x)>
1019
1020 -
1021
1022 =back
1023
1024 =over
1025
1026 =item C<gsl_sf_bessel_Kn_scaled_e($n, $x, $result)>
1027
1028 =item C<gsl_sf_bessel_Kn_scaled($n, $x)>
1029
1030 -
1031
1032 =back
1033
1034 =over
1035
1036 =item C<gsl_sf_bessel_Kn_scaled_array >
1037
1038 -
1039
1040 =back
1041
1042 =over
1043
1044 =item C<gsl_sf_bessel_j0_e($x, $result)>
1045
1046 =item C<gsl_sf_bessel_j0($x)>
1047
1048 -
1049
1050 =back
1051
1052 =over
1053
1054 =item C<gsl_sf_bessel_j1_e($x, $result)>
1055
1056 =item C<gsl_sf_bessel_j1($x)>
1057
1058 -
1059
1060 =back
1061
1062 =over
1063
1064 =item C<gsl_sf_bessel_j2_e($x, $result)>
1065
1066 =item C<gsl_sf_bessel_j2($x)>
1067
1068 -
1069
1070 =back
1071
1072 =over
1073
1074 =item C<gsl_sf_bessel_jl_e($l, $x, $result)>
1075
1076 =item C<gsl_sf_bessel_jl($l, $x)>
1077
1078 -
1079
1080 =back
1081
1082 =over
1083
1084 =item C<gsl_sf_bessel_jl_array>
1085
1086 -
1087
1088 =back
1089
1090 =over
1091
1092 =item C<gsl_sf_bessel_jl_steed_array>
1093
1094 -
1095
1096 =back
1097
1098 =over
1099
1100 =item C<gsl_sf_bessel_y0_e($x, $result)>
1101
1102 =item C<gsl_sf_bessel_y0($x)>
1103
1104 -
1105
1106 =back
1107
1108 =over
1109
1110 =item C<gsl_sf_bessel_y1_e($x, $result)>
1111
1112 =item C<gsl_sf_bessel_y1($x)>
1113
1114 -
1115
1116 =back
1117
1118 =over
1119
1120 =item C<gsl_sf_bessel_y2_e($x, $result)>
1121
1122 =item C<gsl_sf_bessel_y2($x)>
1123
1124 -
1125
1126 =back
1127
1128 =over
1129
1130 =item C<gsl_sf_bessel_yl_e($l, $x, $result)>
1131
1132 =item C<gsl_sf_bessel_yl($l, $x)>
1133
1134 -
1135
1136 =back
1137
1138 =over
1139
1140 =item C<gsl_sf_bessel_yl_array>
1141
1142 -
1143
1144 =back
1145
1146 =over
1147
1148 =item C<gsl_sf_bessel_i0_scaled_e($x, $result)>
1149
1150 =item C<gsl_sf_bessel_i0_scaled($x)>
1151
1152 -
1153
1154 =back
1155
1156 =over
1157
1158 =item C<gsl_sf_bessel_i1_scaled_e($x, $result)>
1159
1160 =item C<gsl_sf_bessel_i1_scaled($x)>
1161
1162 -
1163
1164 =back
1165
1166 =over
1167
1168 =item C<gsl_sf_bessel_i2_scaled_e($x, $result)>
1169
1170 =item C<gsl_sf_bessel_i2_scaled($x)>
1171
1172 -
1173
1174 =back
1175
1176 =over
1177
1178 =item C<gsl_sf_bessel_il_scaled_e($l, $x, $result)>
1179
1180 =item C<gsl_sf_bessel_il_scaled($x)>
1181
1182 -
1183
1184 =back
1185
1186 =over
1187
1188 =item C<gsl_sf_bessel_il_scaled_array>
1189
1190 -
1191
1192 =back
1193
1194 =over
1195
1196 =item C<gsl_sf_bessel_k0_scaled_e($x, $result)>
1197
1198 =item C<gsl_sf_bessel_k0_scale($x)>
1199
1200 -
1201
1202 =back
1203
1204 =over
1205
1206 =item C<gsl_sf_bessel_k1_scaled_e($x, $result)>
1207
1208 =item C<gsl_sf_bessel_k1_scaled($x)>
1209
1210 -
1211
1212 =back
1213
1214 =over
1215
1216 =item C<gsl_sf_bessel_k2_scaled_e($x, $result) >
1217
1218 =item C<gsl_sf_bessel_k2_scaled($x)>
1219
1220 -
1221
1222 =back
1223
1224 =over
1225
1226 =item C<gsl_sf_bessel_kl_scaled_e($l, $x, $result)>
1227
1228 =item C<gsl_sf_bessel_kl_scaled($l, $x)>
1229
1230 -
1231
1232 =back
1233
1234 =over
1235
1236 =item C<gsl_sf_bessel_kl_scaled_array>
1237
1238 -
1239
1240 =back
1241
1242 =over
1243
1244 =item C<gsl_sf_bessel_Jnu_e($nu, $x, $result)>
1245
1246 =item C<gsl_sf_bessel_Jnu($nu, $x)>
1247
1248 -
1249
1250 =back
1251
1252 =over
1253
1254 =item C<gsl_sf_bessel_sequence_Jnu_e >
1255
1256 -
1257
1258 =back
1259
1260 =over
1261
1262 =item C<gsl_sf_bessel_Ynu_e($nu, $x, $result)>
1263
1264 =item C<gsl_sf_bessel_Ynu($nu, $x)>
1265
1266 -
1267
1268 =back
1269
1270 =over
1271
1272 =item C<gsl_sf_bessel_Inu_scaled_e($nu, $x, $result)>
1273
1274 =item C<gsl_sf_bessel_Inu_scaled($nu, $x)>
1275
1276 -
1277
1278 =back
1279
1280 =over
1281
1282 =item C<gsl_sf_bessel_Inu_e($nu, $x, $result)>
1283
1284 =item C<gsl_sf_bessel_Inu($nu, $x)>
1285
1286 -
1287
1288 =back
1289
1290 =over
1291
1292 =item C<gsl_sf_bessel_Knu_scaled_e($nu, $x, $result)>
1293
1294 =item C<gsl_sf_bessel_Knu_scaled($nu, $x)>
1295
1296 -
1297
1298 =back
1299
1300 =over
1301
1302 =item C<gsl_sf_bessel_Knu_e($nu, $x, $result)>
1303
1304 =item C<gsl_sf_bessel_Knu($nu, $x)>
1305
1306 -
1307
1308 =back
1309
1310 =over
1311
1312 =item C<gsl_sf_bessel_lnKnu_e($nu, $x, $result)>
1313
1314 =item C<gsl_sf_bessel_lnKnu($nu, $x)>
1315
1316 -
1317
1318 =back
1319
1320 =over
1321
1322 =item C<gsl_sf_bessel_zero_J0_e($s, $result)>
1323
1324 =item C<gsl_sf_bessel_zero_J0($s)>
1325
1326 -
1327
1328 =back
1329
1330 =over
1331
1332 =item C<gsl_sf_bessel_zero_J1_e($s, $result)>
1333
1334 =item C<gsl_sf_bessel_zero_J1($s)>
1335
1336 -
1337
1338 =back
1339
1340 =over
1341
1342 =item C<gsl_sf_bessel_zero_Jnu_e($nu, $s, $result)>
1343
1344 =item C<gsl_sf_bessel_zero_Jnu($nu, $s)>
1345
1346 -
1347
1348 =back
1349
1350 =over
1351
1352 =item C<gsl_sf_clausen_e($x, $result)>
1353
1354 =item C<gsl_sf_clausen($x)>
1355
1356 -
1357
1358 =back
1359
1360 =over
1361
1362 =item C<gsl_sf_hydrogenicR_1_e($Z, $r, $result)>
1363
1364 =item C<gsl_sf_hydrogenicR_1($Z, $r)>
1365
1366 -
1367
1368 =back
1369
1370 =over
1371
1372 =item C<gsl_sf_hydrogenicR_e($n, $l, $Z, $r, $result)>
1373
1374 =item C<gsl_sf_hydrogenicR($n, $l, $Z, $r)>
1375
1376 -
1377
1378 =back
1379
1380 =over
1381
1382 =item C<gsl_sf_coulomb_wave_FG_e($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, $GSL_EOVRFLW is returned and scaling exponents are returned as second and third values.
1383
1384 =item C<gsl_sf_coulomb_wave_F_array > -
1385
1386 =item C<gsl_sf_coulomb_wave_FG_array> -
1387
1388 =item C<gsl_sf_coulomb_wave_FGp_array> -
1389
1390 =item C<gsl_sf_coulomb_wave_sphF_array> -
1391
1392 =item C<gsl_sf_coulomb_CL_e($L, $eta, $result)> - This function computes the Coulomb wave function normalization constant C_L($eta) for $L > -1.
1393
1394 =item C<gsl_sf_coulomb_CL_arrayi> -
1395
1396 =back
1397
1398 =over
1399
1400 =item C<gsl_sf_coupling_3j_e($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc, $result)>
1401
1402 =item C<gsl_sf_coupling_3j($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc)>
1403
1404 - These routines compute the Wigner 3-j coefficient,
1405    (ja jb jc
1406     ma mb mc)
1407  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1408
1409 =back
1410
1411 =over
1412
1413 =item C<gsl_sf_coupling_6j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $result)>
1414
1415 =item C<gsl_sf_coupling_6j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf)>
1416
1417 - These routines compute the Wigner 6-j coefficient,
1418    {ja jb jc
1419     jd je jf}
1420  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1421
1422 =back
1423
1424 =over
1425
1426 =item C<gsl_sf_coupling_RacahW_e>
1427
1428 =item C<gsl_sf_coupling_RacahW>
1429
1430 -
1431
1432 =back
1433
1434 =over
1435
1436 =item C<gsl_sf_coupling_9j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji, $result)>
1437
1438 =item C<gsl_sf_coupling_9j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji)>
1439
1440 -These routines compute the Wigner 9-j coefficient,
1441
1442           {ja jb jc
1443            jd je jf
1444            jg jh ji}
1445  where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
1446
1447 =back
1448
1449 =over
1450
1451 =item C<gsl_sf_dawson_e($x, $result)>
1452
1453 =item C<gsl_sf_dawson($x)>
1454
1455 -These routines compute the value of Dawson's integral for $x.
1456
1457 =back
1458
1459 =over
1460
1461 =item C<gsl_sf_debye_1_e($x, $result)>
1462
1463 =item C<gsl_sf_debye_1($x)>
1464
1465 -These routines compute the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
1466
1467 =back
1468
1469 =over
1470
1471 =item C<gsl_sf_debye_2_e($x, $result)>
1472
1473 =item C<gsl_sf_debye_2($x)>
1474
1475 -These routines compute the second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1)).
1476
1477 =back
1478
1479 =over
1480
1481 =item C<gsl_sf_debye_3_e($x, $result)>
1482
1483 =item C<gsl_sf_debye_3($x)>
1484
1485 -These routines compute the third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1)).
1486
1487 =back
1488
1489 =over
1490
1491 =item C<gsl_sf_debye_4_e($x, $result)>
1492
1493 =item C<gsl_sf_debye_4($x)>
1494
1495 -These routines compute the fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1)).
1496
1497 =back
1498
1499 =over
1500
1501 =item C<gsl_sf_debye_5_e($x, $result)>
1502
1503 =item C<gsl_sf_debye_5($x)>
1504
1505 -These routines compute the fifth-order Debye function D_5(x) = (5/x^5) \int_0^x dt (t^5/(e^t - 1)).
1506
1507 =back
1508
1509 =over
1510
1511 =item C<gsl_sf_debye_6_e($x, $result)>
1512
1513 =item C<gsl_sf_debye_6($x)>
1514
1515 -These routines compute the sixth-order Debye function D_6(x) = (6/x^6) \int_0^x dt (t^6/(e^t - 1)).
1516
1517 =back
1518
1519 =over
1520
1521 =item C<gsl_sf_dilog_e ($x, $result)>
1522
1523 =item C<gsl_sf_dilog($x)>
1524
1525 - 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).
1526
1527 =back
1528
1529 =over
1530
1531 =item C<gsl_sf_complex_dilog_xy_e> -
1532
1533 =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 $result_im gsl_result structs.
1534
1535 =item C<gsl_sf_complex_spence_xy_e> -
1536
1537 =back
1538
1539 =over
1540
1541 =item C<gsl_sf_multiply>
1542
1543 =item C<gsl_sf_multiply_e($x, $y, $result)> - This function multiplies $x and $y storing the product and its associated error in $result.
1544
1545 =item C<gsl_sf_multiply_err_e($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 $result.
1546
1547 -
1548
1549 =back
1550
1551 =over
1552
1553
1554 =item C<gsl_sf_ellint_Kcomp_e($k, $mode, $result)>
1555
1556 =item C<gsl_sf_ellint_Kcomp($k, $mode)>
1557
1558 -These routines compute the complete elliptic integral K($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.
1559
1560 =back
1561
1562 =over
1563
1564 =item C<gsl_sf_ellint_Ecomp_e($k, $mode, $result)>
1565
1566 =item C<gsl_sf_ellint_Ecomp($k, $mode)>
1567
1568 -
1569
1570 =back
1571
1572 =over
1573
1574 =item C<gsl_sf_ellint_Pcomp_e($k, $n, $mode, $result)>
1575
1576 =item C<gsl_sf_ellint_Pcomp($k, $n, $mode)>
1577
1578 -
1579
1580 =back
1581
1582 =over
1583
1584 =item C<gsl_sf_ellint_Dcomp_e>
1585
1586 =item C<gsl_sf_ellint_Dcomp >
1587
1588 -
1589
1590 =back
1591
1592 =over
1593
1594 =item C<gsl_sf_ellint_F_e($phi, $k, $mode, $result)>
1595
1596 =item C<gsl_sf_ellint_F($phi, $k, $mode)>
1597
1598 -These routines compute the incomplete elliptic integral F($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1599
1600 =back
1601
1602 =over
1603
1604 =item C<gsl_sf_ellint_E_e($phi, $k, $mode, $result)>
1605
1606 =item C<gsl_sf_ellint_E($phi, $k, $mode)>
1607
1608 -These routines compute the incomplete elliptic integral E($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1609
1610 =back
1611
1612 =over
1613
1614 =item C<gsl_sf_ellint_P_e($phi, $k, $n, $mode, $result)>
1615
1616 =item C<gsl_sf_ellint_P($phi, $k, $n, $mode)>
1617
1618 -These routines compute the incomplete elliptic integral \Pi(\phi,k,n) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameters m = k^2 and \sin^2(\alpha) = k^2, with the change of sign n \to -n.
1619
1620 =back
1621
1622 =over
1623
1624 =item C<gsl_sf_ellint_D_e($phi, $k, $n, $mode, $result)>
1625
1626 =item C<gsl_sf_ellint_D($phi, $k, $n, $mode)>
1627
1628 -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 $n is not used and will be removed in a future release.
1629
1630 =back
1631
1632 =over
1633
1634 =item C<gsl_sf_ellint_RC_e($x, $y, $mode, $result)>
1635
1636 =item C<gsl_sf_ellint_RC($x, $y, $mode)>
1637
1638 - These routines compute the incomplete elliptic integral RC($x,$y) to the accuracy specified by the mode variable $mode.
1639
1640 =back
1641
1642 =over
1643
1644 =item C<gsl_sf_ellint_RD_e($x, $y, $z, $mode, $result)>
1645
1646 =item C<gsl_sf_ellint_RD($x, $y, $z, $mode)>
1647
1648 - These routines compute the incomplete elliptic integral RD($x,$y,$z) to the accuracy specified by the mode variable $mode.
1649
1650 =back
1651
1652 =over
1653
1654 =item C<gsl_sf_ellint_RF_e($x, $y, $z, $mode, $result)>
1655
1656 =item C<gsl_sf_ellint_RF($x, $y, $z, $mode)>
1657
1658 - These routines compute the incomplete elliptic integral RF($x,$y,$z) to the accuracy specified by the mode variable $mode.
1659
1660 =back
1661
1662 =over
1663
1664 =item C<gsl_sf_ellint_RJ_e($x, $y, $z, $p, $mode, $result)>
1665
1666 =item C<gsl_sf_ellint_RJ($x, $y, $z, $p, $mode)>
1667
1668 - These routines compute the incomplete elliptic integral RJ($x,$y,$z,$p) to the accuracy specified by the mode variable $mode.
1669
1670 =back
1671
1672 =over
1673
1674 =item C<gsl_sf_elljac_e($u, $m)> - This function computes the Jacobian elliptic functions sn(u|m), cn(u|m), dn(u|m) by descending Landen transformations. The function returns 0 if the operation succeded, 1 otherwise and then returns the result of sn, cn and dn in this order.
1675
1676 =item C<gsl_sf_erfc_e($x, $result)>
1677
1678 =item C<gsl_sf_erfc($x)>
1679
1680 -These routines compute the complementary error function erfc(x) = 1 - erf(x) = (2/\sqrt(\pi)) \int_x^\infty \exp(-t^2).
1681
1682 =back
1683
1684 =over
1685
1686 =item C<gsl_sf_log_erfc_e($x, $result)>
1687
1688 =item C<gsl_sf_log_erfc($x)>
1689
1690 -These routines compute the logarithm of the complementary error function \log(\erfc(x)).
1691
1692 =back
1693
1694 =over
1695
1696 =item C<gsl_sf_erf_e($x, $result)>
1697
1698 =item C<gsl_sf_erf($x)>
1699
1700 -These routines compute the error function erf(x), where erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2).
1701
1702 =back
1703
1704 =over
1705
1706 =item C<gsl_sf_erf_Z_e($x, $result)>
1707
1708 =item C<gsl_sf_erf_Z($x)>
1709
1710 -These routines compute the Gaussian probability density function Z(x) = (1/\sqrt{2\pi}) \exp(-x^2/2).
1711
1712 =back
1713
1714 =over
1715
1716 =item C<gsl_sf_erf_Q_e($x, $result)>
1717
1718 =item C<gsl_sf_erf_Q($x)>
1719
1720 - 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.
1721
1722 =back
1723
1724 =over
1725
1726 =item C<gsl_sf_hazard_e($x, $result)>
1727
1728 =item C<gsl_sf_hazard($x)>
1729
1730 - These routines compute the hazard function for the normal distribution.
1731
1732 =back
1733
1734 =over
1735
1736 =item C<gsl_sf_exp_e($x, $result)>
1737
1738 =item C<gsl_sf_exp($x)>
1739
1740 - These routines provide an exponential function \exp(x) using GSL semantics and error checking.
1741
1742 =back
1743
1744 =over
1745
1746 =item C<gsl_sf_exp_e10_e> -
1747
1748 =back
1749
1750 =over
1751
1752 =item C<gsl_sf_exp_mult_e >
1753
1754 =item C<gsl_sf_exp_mult>
1755
1756 -
1757
1758 =back
1759
1760 =over
1761
1762 =item C<gsl_sf_exp_mult_e10_e> -
1763
1764 =back
1765
1766 =over
1767
1768 =item C<gsl_sf_expm1_e($x, $result)>
1769
1770 =item C<gsl_sf_expm1($x)>
1771
1772 -These routines compute the quantity \exp(x)-1 using an algorithm that is accurate for small x.
1773
1774 =back
1775
1776 =over
1777
1778 =item C<gsl_sf_exprel_e($x, $result)>
1779
1780 =item C<gsl_sf_exprel($x)>
1781
1782 -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.
1783
1784 =back
1785
1786 =over
1787
1788 =item C<gsl_sf_exprel_2_e($x, $result)>
1789
1790 =item C<gsl_sf_exprel_2($x)>
1791
1792 -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.
1793
1794 =back
1795
1796 =over
1797
1798 =item C<gsl_sf_exprel_n_e($x, $result)>
1799
1800 =item C<gsl_sf_exprel_n($x)>
1801
1802 -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,
1803  exprel_N(x) = N!/x^N (\exp(x) - \sum_{k=0}^{N-1} x^k/k!)
1804   = 1 + x/(N+1) + x^2/((N+1)(N+2)) + ...
1805   = 1F1 (1,1+N,x)
1806
1807 =back
1808
1809 =over
1810
1811 =item C<gsl_sf_exp_err_e($x, $dx, $result)> - This function exponentiates $x with an associated absolute error $dx.
1812
1813 =item C<gsl_sf_exp_err_e10_e> -
1814
1815 =item C<gsl_sf_exp_mult_err_e($x, $dx, $y, $dy, $result)> -
1816
1817 =item C<gsl_sf_exp_mult_err_e10_e> -
1818
1819 =back
1820
1821 =over
1822
1823 =item C<gsl_sf_expint_E1_e($x, $result)>
1824
1825 =item C<gsl_sf_expint_E1($x)>
1826
1827 -These routines compute the exponential integral E_1(x), E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
1828
1829 =back
1830
1831 =over
1832
1833 =item C<gsl_sf_expint_E2_e($x, $result)>
1834
1835 =item C<gsl_sf_expint_E2($x)>
1836
1837 -These routines compute the second-order exponential integral E_2(x),
1838   E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2.
1839
1840
1841 =back
1842
1843 =over
1844
1845 =item C<gsl_sf_expint_En_e($n, $x, $result)>
1846
1847 =item C<gsl_sf_expint_En($n, $x)>
1848
1849 -These routines compute the exponential integral E_n(x) of order n,
1850   E_n(x) := \Re \int_1^\infty dt \exp(-xt)/t^n.
1851
1852
1853 =back
1854
1855 =over
1856
1857 =item C<gsl_sf_expint_E1_scaled_e >
1858
1859 =item C<gsl_sf_expint_E1_scaled>
1860
1861 -
1862
1863 =back
1864
1865 =over
1866
1867 =item C<gsl_sf_expint_E2_scaled_e>
1868
1869 =item C<gsl_sf_expint_E2_scaled >
1870
1871 -
1872
1873 =back
1874
1875 =over
1876
1877 =item C<gsl_sf_expint_En_scaled_e>
1878
1879 =item C<gsl_sf_expint_En_scaled>
1880
1881 -
1882
1883 =back
1884
1885 =over
1886
1887 =item C<gsl_sf_expint_Ei_e($x, $result)>
1888
1889 =item C<gsl_sf_expint_Ei($x)>
1890
1891 -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.
1892
1893 =back
1894
1895 =over
1896
1897 =item C<gsl_sf_expint_Ei_scaled_e>
1898
1899 =item C<gsl_sf_expint_Ei_scaled >
1900
1901 -
1902
1903 =back
1904
1905 =over
1906
1907 =item C<gsl_sf_Shi_e($x, $result)>
1908
1909 =item C<gsl_sf_Shi($x)>
1910
1911 -These routines compute the integral Shi(x) = \int_0^x dt \sinh(t)/t.
1912
1913 =back
1914
1915 =over
1916
1917 =item C<gsl_sf_Chi_e($x, $result)>
1918
1919 =item C<gsl_sf_Chi($x)>
1920
1921 -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 $M_EULER from the Math::GSL::Const module).
1922
1923 =back
1924
1925 =over
1926
1927 =item C<gsl_sf_expint_3_e($x, $result)>
1928
1929 =item C<gsl_sf_expint_3($x)>
1930
1931 -These routines compute the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0.
1932
1933 =back
1934
1935 =over
1936
1937 =item C<gsl_sf_Si_e($x, $result)>
1938
1939 =item C<gsl_sf_Si($x)>
1940
1941 -These routines compute the Sine integral Si(x) = \int_0^x dt \sin(t)/t.
1942
1943 =back
1944
1945 =over
1946
1947 =item C<gsl_sf_Ci_e($x, $result)>
1948
1949 =item C<gsl_sf_Ci($x)>
1950
1951 -These routines compute the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0.
1952
1953 =back
1954
1955 =over
1956
1957 =item C<gsl_sf_fermi_dirac_m1_e($x, $result)>
1958
1959 =item C<gsl_sf_fermi_dirac_m1($x)>
1960
1961 -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).
1962
1963 =back
1964
1965 =over
1966
1967 =item C<gsl_sf_fermi_dirac_0_e($x, $result)>
1968
1969 =item C<gsl_sf_fermi_dirac_0($x)>
1970
1971 -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).
1972
1973 =back
1974
1975 =over
1976
1977 =item C<gsl_sf_fermi_dirac_1_e($x, $result)>
1978
1979 =item C<gsl_sf_fermi_dirac_1($x)>
1980
1981 -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)).
1982
1983 =back
1984
1985 =over
1986
1987 =item C<gsl_sf_fermi_dirac_2_e($x, $result)>
1988
1989 =item C<gsl_sf_fermi_dirac_2($x)>
1990
1991 -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)).
1992
1993 =back
1994
1995 =over
1996
1997 =item C<gsl_sf_fermi_dirac_int_e($j, $x, $result)>
1998
1999 =item C<gsl_sf_fermi_dirac_int($j, $x)>
2000
2001 -These routines compute the complete Fermi-Dirac integral with an integer index of j, F_j(x) = (1/\Gamma(j+1)) \int_0^\infty dt (t^j /(\exp(t-x)+1)).
2002
2003 =back
2004
2005 =over
2006
2007 =item C<gsl_sf_fermi_dirac_mhalf_e($x, $result)>
2008
2009 =item C<gsl_sf_fermi_dirac_mhalf($x)>
2010
2011 -These routines compute the complete Fermi-Dirac integral F_{-1/2}(x).
2012
2013 =back
2014
2015 =over
2016
2017 =item C<gsl_sf_fermi_dirac_half_e($x, $result)>
2018
2019 =item C<gsl_sf_fermi_dirac_half($x)>
2020
2021 -These routines compute the complete Fermi-Dirac integral F_{1/2}(x).
2022
2023 =back
2024
2025 =over
2026
2027 =item C<gsl_sf_fermi_dirac_3half_e($x, $result)>
2028
2029 =item C<gsl_sf_fermi_dirac_3half($x)>
2030
2031 -These routines compute the complete Fermi-Dirac integral F_{3/2}(x).
2032
2033 =back
2034
2035 =over
2036
2037 =item C<gsl_sf_fermi_dirac_inc_0_e($x, $b, $result)>
2038
2039 =item C<gsl_sf_fermi_dirac_inc_0($x, $b, $result)>
2040
2041 -These routines compute the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e^{b-x}) - (b-x).
2042
2043 =back
2044
2045 =over
2046
2047 =item C<gsl_sf_legendre_Pl_e($l, $x, $result)>
2048
2049 =item C<gsl_sf_legendre_Pl($l, $x)>
2050
2051 -These functions evaluate the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
2052
2053 =back
2054
2055 =over
2056
2057 =item C<gsl_sf_legendre_Pl_array>
2058
2059 =item C<gsl_sf_legendre_Pl_deriv_array>
2060
2061 -
2062
2063 =back
2064
2065 =over
2066
2067 =item C<gsl_sf_legendre_P1_e($x, $result)>
2068
2069 =item C<gsl_sf_legendre_P2_e($x, $result)>
2070
2071 =item C<gsl_sf_legendre_P3_e($x, $result)>
2072
2073 =item C<gsl_sf_legendre_P1($x)>
2074
2075 =item C<gsl_sf_legendre_P2($x)>
2076
2077 =item C<gsl_sf_legendre_P3($x)>
2078
2079 -These functions evaluate the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
2080
2081 =back
2082
2083 =over
2084
2085 =item C<gsl_sf_legendre_Q0_e($x, $result)>
2086
2087 =item C<gsl_sf_legendre_Q0($x)>
2088
2089 -These routines compute the Legendre function Q_0(x) for x > -1, x != 1.
2090
2091 =back
2092
2093 =over
2094
2095 =item C<gsl_sf_legendre_Q1_e($x, $result)>
2096
2097 =item C<gsl_sf_legendre_Q1($x)>
2098
2099 -These routines compute the Legendre function Q_1(x) for x > -1, x != 1.
2100
2101 =back
2102
2103 =over
2104
2105 =item C<gsl_sf_legendre_Ql_e($l, $x, $result)>
2106
2107 =item C<gsl_sf_legendre_Ql($l, $x)>
2108
2109 -These routines compute the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.
2110
2111 =back
2112
2113 =over
2114
2115 =item C<gsl_sf_legendre_Plm_e($l, $m, $x, $result)>
2116
2117 =item C<gsl_sf_legendre_Plm($l, $m, $x)>
2118
2119 -These routines compute the associated Legendre polynomial P_l^m(x) for m >= 0, l >= m, |x| <= 1.
2120
2121 =back
2122
2123 =over
2124
2125 =item C<gsl_sf_legendre_Plm_array>
2126
2127 =item C<gsl_sf_legendre_Plm_deriv_array >
2128
2129 -
2130
2131 =back
2132
2133 =over
2134
2135 =item C<gsl_sf_legendre_sphPlm_e($l, $m, $x, $result)>
2136
2137 =item C<gsl_sf_legendre_sphPlm($l, $m, $x)>
2138
2139 -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).
2140
2141 =back
2142
2143 =over
2144
2145 =item C<gsl_sf_legendre_sphPlm_array >
2146
2147 =item C<gsl_sf_legendre_sphPlm_deriv_array>
2148
2149 -
2150
2151 =back
2152
2153 =over
2154
2155 =item C<gsl_sf_legendre_array_size> -
2156
2157 =back
2158
2159 =over
2160
2161 =item C<gsl_sf_lngamma_e($x, $result)>
2162
2163 =item C<gsl_sf_lngamma($x)>
2164
2165 -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.
2166
2167 =back
2168
2169 =over
2170
2171 =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).
2172
2173 =back
2174
2175 =over
2176
2177 =item C<gsl_sf_gamma_e >
2178
2179 =item C<gsl_sf_gamma>
2180
2181 -
2182
2183 =back
2184
2185 =over
2186
2187 =item C<gsl_sf_gammastar_e>
2188
2189 =item C<gsl_sf_gammastar >
2190
2191 -
2192
2193 =back
2194
2195 =over
2196
2197 =item C<gsl_sf_gammainv_e>
2198
2199 =item C<gsl_sf_gammainv>
2200
2201 -
2202
2203 =back
2204
2205 =over
2206
2207 =item C<gsl_sf_lngamma_complex_e >
2208
2209 -
2210
2211 =back
2212
2213 =over
2214
2215 =item C<gsl_sf_gamma_inc_Q_e>
2216
2217 =item C<gsl_sf_gamma_inc_Q>
2218
2219 -
2220
2221 =back
2222
2223 =over
2224
2225 =item C<gsl_sf_gamma_inc_P_e >
2226
2227 =item C<gsl_sf_gamma_inc_P>
2228
2229 -
2230
2231 =back
2232
2233 =over
2234
2235 =item C<gsl_sf_gamma_inc_e>
2236
2237 =item C<gsl_sf_gamma_inc >
2238
2239 -
2240
2241 =back
2242
2243 =over
2244
2245 =item C<gsl_sf_taylorcoeff_e>
2246
2247 =item C<gsl_sf_taylorcoeff>
2248
2249 -
2250
2251 =back
2252
2253 =over
2254
2255 =item C<gsl_sf_fact_e >
2256
2257 =item C<gsl_sf_fact>
2258
2259 -
2260
2261 =back
2262
2263 =over
2264
2265 =item C<gsl_sf_doublefact_e>
2266
2267 =item C<gsl_sf_doublefact >
2268
2269 -
2270
2271 =back
2272
2273 =over
2274
2275 =item C<gsl_sf_lnfact_e>
2276
2277 =item C<gsl_sf_lnfact>
2278
2279 -
2280
2281 =back
2282
2283 =over
2284
2285 =item C<gsl_sf_lndoublefact_e >
2286
2287 =item C<gsl_sf_lndoublefact>
2288
2289 -
2290
2291 =back
2292
2293 =over
2294
2295 =item C<gsl_sf_lnchoose_e>
2296
2297 =item C<gsl_sf_lnchoose >
2298
2299 -
2300
2301 =back
2302
2303 =over
2304
2305 =item C<gsl_sf_choose_e>
2306
2307 =item C<gsl_sf_choose>
2308
2309 -
2310
2311 =back
2312
2313 =over
2314
2315 =item C<gsl_sf_lnpoch_e >
2316
2317 =item C<gsl_sf_lnpoch>
2318
2319 -
2320
2321 =back
2322
2323 =over
2324
2325 =item C<gsl_sf_lnpoch_sgn_e>
2326
2327 -
2328
2329 =back
2330
2331 =over
2332
2333 =item C<gsl_sf_poch_e >
2334
2335 =item C<gsl_sf_poch>
2336
2337 -
2338
2339 =back
2340
2341 =over
2342
2343 =item C<gsl_sf_pochrel_e>
2344
2345 =item C<gsl_sf_pochrel >
2346
2347 -
2348
2349 =back
2350
2351 =over
2352
2353 =item C<gsl_sf_lnbeta_e>
2354
2355 =item C<gsl_sf_lnbeta>
2356
2357 -
2358
2359 =back
2360
2361 =over
2362
2363 =item C<gsl_sf_lnbeta_sgn_e >
2364
2365 -
2366
2367 =back
2368
2369 =over
2370
2371 =item C<gsl_sf_beta_e>
2372
2373 =item C<gsl_sf_beta>
2374
2375 -
2376
2377 =back
2378
2379 =over
2380
2381 =item C<gsl_sf_beta_inc_e >
2382
2383 =item C<gsl_sf_beta_inc>
2384
2385 -
2386
2387 =back
2388
2389 =over
2390
2391 =item C<gsl_sf_gegenpoly_1_e>
2392
2393 =item C<gsl_sf_gegenpoly_2_e >
2394
2395 =item C<gsl_sf_gegenpoly_3_e>
2396
2397 =item C<gsl_sf_gegenpoly_1>
2398
2399 =item C<gsl_sf_gegenpoly_2 >
2400
2401 =item C<gsl_sf_gegenpoly_3>
2402
2403 -
2404
2405 =back
2406
2407 =over
2408
2409 =item C<gsl_sf_gegenpoly_n_e>
2410
2411 =item C<gsl_sf_gegenpoly_n >
2412
2413 -
2414
2415 =back
2416
2417 =over
2418
2419 =item C<gsl_sf_gegenpoly_array>
2420
2421 =item C<gsl_sf_hyperg_0F1_e>
2422
2423 =item C<gsl_sf_hyperg_0F1 >
2424
2425 -
2426
2427 =back
2428
2429 =over
2430
2431 =item C<gsl_sf_hyperg_1F1_int_e>
2432
2433 =item C<gsl_sf_hyperg_1F1_int>
2434
2435 -
2436
2437 =back
2438
2439 =over
2440
2441 =item C<gsl_sf_hyperg_1F1_e >
2442
2443 =item C<gsl_sf_hyperg_1F1>
2444
2445 -
2446
2447 =back
2448
2449 =over
2450
2451 =item C<gsl_sf_hyperg_U_int_e>
2452
2453 =item C<gsl_sf_hyperg_U_int >
2454
2455 -
2456
2457 =back
2458
2459 =over
2460
2461 =item C<gsl_sf_hyperg_U_int_e10_e>
2462
2463 -
2464
2465 =back
2466
2467 =over
2468
2469 =item C<gsl_sf_hyperg_U_e>
2470
2471 =item C<gsl_sf_hyperg_U >
2472
2473 -
2474
2475 =back
2476
2477 =over
2478
2479 =item C<gsl_sf_hyperg_U_e10_e>
2480
2481 -
2482
2483 =back
2484
2485 =over
2486
2487 =item C<gsl_sf_hyperg_2F1_e>
2488
2489 =item C<gsl_sf_hyperg_2F1 >
2490
2491 -
2492
2493 =back
2494
2495 =over
2496
2497 =item C<gsl_sf_hyperg_2F1_conj_e>
2498
2499 =item C<gsl_sf_hyperg_2F1_conj>
2500
2501 -
2502
2503 =back
2504
2505 =over
2506
2507 =item C<gsl_sf_hyperg_2F1_renorm_e >
2508
2509 =item C<gsl_sf_hyperg_2F1_renorm>
2510
2511 -
2512
2513 =back
2514
2515 =over
2516
2517 =item C<gsl_sf_hyperg_2F1_conj_renorm_e>
2518
2519 =item C<gsl_sf_hyperg_2F1_conj_renorm >
2520
2521 -
2522
2523 =back
2524
2525 =over
2526
2527 =item C<gsl_sf_hyperg_2F0_e>
2528
2529 =item C<gsl_sf_hyperg_2F0>
2530
2531 -
2532
2533 =back
2534
2535 =over
2536
2537 =item C<gsl_sf_laguerre_1_e >
2538
2539 =item C<gsl_sf_laguerre_2_e>
2540
2541 =item C<gsl_sf_laguerre_3_e>
2542
2543 =item C<gsl_sf_laguerre_1 >
2544
2545 =item C<gsl_sf_laguerre_2>
2546
2547 =item C<gsl_sf_laguerre_3>
2548
2549 -
2550
2551 =back
2552
2553 =over
2554
2555 =item C<gsl_sf_laguerre_n_e >
2556
2557 =item C<gsl_sf_laguerre_n>
2558
2559 -
2560
2561 =back
2562
2563 =over
2564
2565 =item C<gsl_sf_lambert_W0_e>
2566
2567 =item C<gsl_sf_lambert_W0 >
2568
2569 -
2570
2571 =back
2572
2573 =over
2574
2575 =item C<gsl_sf_lambert_Wm1_e>
2576
2577 =item C<gsl_sf_lambert_Wm1>
2578
2579 -
2580
2581 =back
2582
2583 =over
2584
2585 =item C<gsl_sf_conicalP_half_e >
2586
2587 =item C<gsl_sf_conicalP_half>
2588
2589 -
2590
2591 =back
2592
2593 =over
2594
2595 =item C<gsl_sf_conicalP_mhalf_e>
2596
2597 =item C<gsl_sf_conicalP_mhalf >
2598
2599 -
2600
2601 =back
2602
2603 =over
2604
2605 =item C<gsl_sf_conicalP_0_e>
2606
2607 =item C<gsl_sf_conicalP_0>
2608
2609 -
2610
2611 =back
2612
2613 =over
2614
2615 =item C<gsl_sf_conicalP_1_e >
2616
2617 =item C<gsl_sf_conicalP_1>
2618
2619 -
2620
2621 =back
2622
2623 =over
2624
2625 =item C<gsl_sf_conicalP_sph_reg_e>
2626
2627 =item C<gsl_sf_conicalP_sph_reg >
2628
2629 -
2630
2631 =back
2632
2633 =over
2634
2635 =item C<gsl_sf_conicalP_cyl_reg_e>
2636
2637 =item C<gsl_sf_conicalP_cyl_reg>
2638
2639 -
2640
2641 =back
2642
2643 =over
2644
2645 =item C<gsl_sf_legendre_H3d_0_e >
2646
2647 =item C<gsl_sf_legendre_H3d_0>
2648
2649 -
2650
2651 =back
2652
2653 =over
2654
2655 =item C<gsl_sf_legendre_H3d_1_e>
2656
2657 =item C<gsl_sf_legendre_H3d_1 >
2658
2659 -
2660
2661 =back
2662
2663 =over
2664
2665 =item C<gsl_sf_legendre_H3d_e>
2666
2667 =item C<gsl_sf_legendre_H3d>
2668
2669 -
2670
2671 =back
2672
2673 =over
2674
2675 =item C<gsl_sf_legendre_H3d_array >
2676
2677 -
2678
2679 =back
2680
2681 =over
2682
2683 =item C<gsl_sf_log_e>
2684
2685 =item C<gsl_sf_log>
2686
2687 -
2688
2689 =back
2690
2691 =over
2692
2693 =item C<gsl_sf_log_abs_e >
2694
2695 =item C<gsl_sf_log_abs>
2696
2697 -
2698
2699 =back
2700
2701 =over
2702
2703 =item C<gsl_sf_complex_log_e>
2704
2705 -
2706
2707 =back
2708
2709 =over
2710
2711 =item C<gsl_sf_log_1plusx_e >
2712
2713 =item C<gsl_sf_log_1plusx>
2714
2715 -
2716
2717 =back
2718
2719 =over
2720
2721 =item C<gsl_sf_log_1plusx_mx_e>
2722
2723 =item C<gsl_sf_log_1plusx_mx >
2724
2725 -
2726
2727 =back
2728
2729 =over
2730
2731 =item C<gsl_sf_mathieu_a_array>
2732
2733 =item C<gsl_sf_mathieu_b_array>
2734
2735 -
2736
2737 =back
2738
2739 =over
2740
2741 =item C<gsl_sf_mathieu_a >
2742
2743 =item C<gsl_sf_mathieu_b>
2744
2745 -
2746
2747 =back
2748
2749 =over
2750
2751 =item C<gsl_sf_mathieu_a_coeff>
2752
2753 =item C<gsl_sf_mathieu_b_coeff >
2754
2755 -
2756
2757 =back
2758
2759 =over
2760
2761 =item C<gsl_sf_mathieu_alloc>
2762
2763 -
2764
2765 =back
2766
2767 =over
2768
2769 =item C<gsl_sf_mathieu_free>
2770
2771 -
2772
2773 =back
2774
2775 =over
2776
2777 =item C<gsl_sf_mathieu_ce >
2778
2779 =item C<gsl_sf_mathieu_se>
2780
2781 -
2782
2783 =back
2784
2785 =over
2786
2787 =item C<gsl_sf_mathieu_ce_array>
2788
2789 =item C<gsl_sf_mathieu_se_array >
2790
2791 -
2792
2793 =back
2794
2795 =over
2796
2797 =item C<gsl_sf_mathieu_Mc>
2798
2799 =item C<gsl_sf_mathieu_Ms>
2800
2801 -
2802
2803 =back
2804
2805 =over
2806
2807 =item C<gsl_sf_mathieu_Mc_array >
2808
2809 =item C<gsl_sf_mathieu_Ms_array>
2810
2811 -
2812
2813 =back
2814
2815 =over
2816
2817 =item C<gsl_sf_pow_int_e>
2818
2819 =item C<gsl_sf_pow_int >
2820
2821 -
2822
2823 =back
2824
2825 =over
2826
2827 =item C<gsl_sf_psi_int_e>
2828
2829 =item C<gsl_sf_psi_int>
2830
2831 -
2832
2833 =back
2834
2835 =over
2836
2837 =item C<gsl_sf_psi_e >
2838
2839 =item C<gsl_sf_psi>
2840
2841 -
2842
2843 =back
2844
2845 =over
2846
2847 =item C<gsl_sf_psi_1piy_e>
2848
2849 =item C<gsl_sf_psi_1piy >
2850
2851 -
2852
2853 =back
2854
2855 =over
2856
2857 =item C<gsl_sf_complex_psi_e>
2858
2859 -
2860
2861 =back
2862
2863 =over
2864
2865 =item C<gsl_sf_psi_1_int_e>
2866
2867 =item C<gsl_sf_psi_1_int >
2868
2869 -
2870
2871 =back
2872
2873 =over
2874
2875 =item C<gsl_sf_psi_1_e >
2876
2877 =item C<gsl_sf_psi_1>
2878
2879 -
2880
2881 =back
2882
2883 =over
2884
2885 =item C<gsl_sf_psi_n_e >
2886
2887 =item C<gsl_sf_psi_n>
2888
2889 -
2890
2891 =back
2892
2893 =over
2894
2895 =item C<gsl_sf_result_smash_e>
2896
2897 -
2898
2899 =back
2900
2901 =over
2902
2903 =item C<gsl_sf_synchrotron_1_e >
2904
2905 =item C<gsl_sf_synchrotron_1>
2906
2907 -
2908
2909 =back
2910
2911 =over
2912
2913 =item C<gsl_sf_synchrotron_2_e>
2914
2915 =item C<gsl_sf_synchrotron_2 >
2916
2917 -
2918
2919 =back
2920
2921 =over
2922
2923 =item C<gsl_sf_transport_2_e>
2924
2925 =item C<gsl_sf_transport_2>
2926
2927 -
2928
2929 =back
2930
2931 =over
2932
2933 =item C<gsl_sf_transport_3_e >
2934
2935 =item C<gsl_sf_transport_3>
2936
2937 -
2938
2939 =back
2940
2941 =over
2942
2943 =item C<gsl_sf_transport_4_e>
2944
2945 =item C<gsl_sf_transport_4 >
2946
2947 -
2948
2949 =back
2950
2951 =over
2952
2953 =item C<gsl_sf_transport_5_e>
2954
2955 =item C<gsl_sf_transport_5>
2956
2957 -
2958
2959 =back
2960
2961 =over
2962
2963 =item C<gsl_sf_sin_e >
2964
2965 =item C<gsl_sf_sin>
2966
2967 -
2968
2969 =back
2970
2971 =over
2972
2973 =item C<gsl_sf_cos_e>
2974
2975 =item C<gsl_sf_cos >
2976
2977 -
2978
2979 =back
2980
2981 =over
2982
2983 =item C<gsl_sf_hypot_e>
2984
2985 =item C<gsl_sf_hypot>
2986
2987 -
2988
2989 =back
2990
2991 =over
2992
2993 =item C<gsl_sf_complex_sin_e >
2994
2995 -
2996
2997 =back
2998
2999 =over
3000
3001 =item C<gsl_sf_complex_cos_e>
3002
3003 -
3004
3005 =back
3006
3007 =over
3008
3009 =item C<gsl_sf_complex_logsin_e>
3010
3011 -
3012
3013 =back
3014
3015 =over
3016
3017 =item C<gsl_sf_sinc_e >
3018
3019 =item C<gsl_sf_sinc>
3020
3021 -
3022
3023 =back
3024
3025 =over
3026
3027 =item C<gsl_sf_lnsinh_e>
3028
3029 =item C<gsl_sf_lnsinh >
3030
3031 -
3032
3033 =back
3034
3035 =over
3036
3037 =item C<gsl_sf_lncosh_e>
3038
3039 =item C<gsl_sf_lncosh>
3040
3041 -
3042
3043 =back
3044
3045 =over
3046
3047 =item C<gsl_sf_polar_to_rect >
3048
3049 -
3050
3051 =back
3052
3053 =over
3054
3055 =item C<gsl_sf_rect_to_polar>
3056
3057 -
3058
3059 =back
3060
3061 =over
3062
3063 =item C<gsl_sf_sin_err_e>
3064
3065 =item C<gsl_sf_cos_err_e >
3066
3067 -
3068
3069 =back
3070
3071 =over
3072
3073 =item C<gsl_sf_angle_restrict_symm_e>
3074
3075 =item C<gsl_sf_angle_restrict_symm>
3076
3077 -
3078
3079 =back
3080
3081 =over
3082
3083 =item C<gsl_sf_angle_restrict_pos_e >
3084
3085 =item C<gsl_sf_angle_restrict_pos>
3086
3087 -
3088
3089 =back
3090
3091 =over
3092
3093 =item C<gsl_sf_angle_restrict_symm_err_e>
3094
3095 =item C<gsl_sf_angle_restrict_pos_err_e >
3096
3097 =over
3098
3099 =item C<gsl_sf_atanint_e>
3100
3101 =item C<gsl_sf_atanint>
3102
3103 -These routines compute the Arctangent integral, which is defined as AtanInt(x) = \int_0^x dt \arctan(t)/t.
3104
3105 =back
3106
3107 =item C<gsl_sf_zeta_int_e >
3108
3109 =item C<gsl_sf_zeta_int>
3110
3111 =item C<gsl_sf_zeta_e gsl_sf_zeta >
3112
3113 =item C<gsl_sf_zetam1_e>
3114
3115 =item C<gsl_sf_zetam1>
3116
3117 =item C<gsl_sf_zetam1_int_e >
3118
3119 =item C<gsl_sf_zetam1_int>
3120
3121 =item C<gsl_sf_hzeta_e>
3122
3123 =item C<gsl_sf_hzeta >
3124
3125 =item C<gsl_sf_eta_int_e>
3126
3127 =item C<gsl_sf_eta_int>
3128
3129 =item C<gsl_sf_eta_e>
3130
3131 =item C<gsl_sf_eta >
3132
3133 =back
3134
3135 This module also contains the following constants used as mode in various of those functions :
3136
3137 =over
3138
3139 =item * GSL_PREC_DOUBLE - Double-precision, a relative accuracy of approximately 2 * 10^-16.
3140
3141 =item * GSL_PREC_SINGLE - Single-precision, a relative accuracy of approximately 10^-7.
3142
3143 =item * GSL_PREC_APPROX - Approximate values, a relative accuracy of approximately 5 * 10^-4.
3144
3145 =back
3146
3147  You can import the functions that you want to use by giving a space separated
3148  list to Math::GSL::SF when you use the package.  You can also write
3149  use Math::GSL::SF qw/:all/
3150  to use all avaible functions of the module. Note that
3151  the tag names begin with a colon.  Other tags are also available, here is a
3152  complete list of all tags for this module :
3153
3154 =over
3155
3156 =item C<airy>
3157
3158 =item C<bessel>
3159
3160 =item C<clausen>
3161
3162 =item C<hydrogenic>
3163
3164 =item C<coulumb>
3165
3166 =item C<coupling>
3167
3168 =item C<dawson>
3169
3170 =item C<debye>
3171
3172 =item C<dilog>
3173
3174 =item C<factorial>
3175
3176 =item C<misc>
3177
3178 =item C<elliptic>
3179
3180 =item C<error>
3181
3182 =item C<hypergeometric>
3183
3184 =item C<laguerre>
3185
3186 =item C<legendre>
3187
3188 =item C<gamma>
3189
3190 =item C<transport>
3191
3192 =item C<trig>
3193
3194 =item C<zeta>
3195
3196 =item C<eta>
3197
3198 =item C<vars>
3199
3200 =back
3201
3202 For more informations on the functions, we refer you to the GSL offcial
3203 documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
3204
3205 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/name_of_the_function_you_want
3206
3207 =head1 EXAMPLES
3208
3209 This example computes the dilogarithm of 1/10 :
3210
3211     use Math::GSL::SF qw/dilog/;
3212     my $x = gsl_sf_dilog(0.1);
3213     print "gsl_sf_dilog(0.1) = $x\n";
3214
3215 An example using Math::GSL::SF and gnuplot is in the B<examples/sf> folder of the source code.
3216
3217 =head1 AUTHORS
3218
3219 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
3220
3221 =head1 COPYRIGHT AND LICENSE
3222
3223 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
3224
3225 This program is free software; you can redistribute it and/or modify it
3226 under the same terms as Perl itself.
3227
3228 =cut
3229 %}