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MPFR.pm
package Math::MPFR; use strict; use warnings; use POSIX; use Config; use Math::MPFR::Prec; use Math::MPFR::Random; # Needs to be loaded before Math::MPFR use constant GMP_RNDN => 0; use constant GMP_RNDZ => 1; use constant GMP_RNDU => 2; use constant GMP_RNDD => 3; use constant MPFR_RNDN => 0; use constant MPFR_RNDZ => 1; use constant MPFR_RNDU => 2; use constant MPFR_RNDD => 3; use constant MPFR_RNDA => 4; use constant MPFR_RNDF => 5; use constant _UOK_T => 1; use constant _IOK_T => 2; use constant _NOK_T => 3; use constant _POK_T => 4; use constant _MATH_MPFR_T => 5; use constant _MATH_GMPf_T => 6; use constant _MATH_GMPq_T => 7; use constant _MATH_GMPz_T => 8; use constant _MATH_GMP_T => 9; use constant _MATH_MPC_T => 10; use constant MPFR_FLAGS_UNDERFLOW => 1; use constant MPFR_FLAGS_OVERFLOW => 2; use constant MPFR_FLAGS_NAN => 4; use constant MPFR_FLAGS_INEXACT => 8; use constant MPFR_FLAGS_ERANGE => 16; use constant MPFR_FLAGS_DIVBY0 => 32; use constant MPFR_FLAGS_ALL => 63; use constant MPFR_FREE_LOCAL_CACHE => 1; use constant MPFR_FREE_GLOBAL_CACHE => 2; use constant LITTLE_ENDIAN => $Config{byteorder} =~ /^1/ ? 1 : 0; use constant MM_HP => LITTLE_ENDIAN ? 'h*' : 'H*'; use constant MPFR_3_1_6_OR_LATER => Math::MPFR::Random::_MPFR_VERSION() > 196869 ? 1 : 0; use subs qw(MPFR_VERSION MPFR_VERSION_MAJOR MPFR_VERSION_MINOR MPFR_VERSION_PATCHLEVEL MPFR_VERSION_STRING RMPFR_PREC_MIN RMPFR_PREC_MAX MPFR_DBL_DIG MPFR_LDBL_DIG MPFR_FLT128_DIG GMP_LIMB_BITS GMP_NAIL_BITS ); use overload '++' => \&overload_inc, '--' => \&overload_dec, '+' => \&overload_add, '-' => \&overload_sub, '*' => \&overload_mul, '/' => \&overload_div, '+=' => \&overload_add_eq, '-=' => \&overload_sub_eq, '*=' => \&overload_mul_eq, '/=' => \&overload_div_eq, '""' => \&overload_string, '>' => \&overload_gt, '>=' => \&overload_gte, '<' => \&overload_lt, '<=' => \&overload_lte, '<=>' => \&overload_spaceship, '==' => \&overload_equiv, '!=' => \&overload_not_equiv, '!' => \&overload_not, 'bool' => \&overload_true, '=' => \&overload_copy, 'abs' => \&overload_abs, '**' => \&overload_pow, '**=' => \&overload_pow_eq, 'atan2'=> \&overload_atan2, 'cos' => \&overload_cos, 'sin' => \&overload_sin, 'log' => \&overload_log, 'exp' => \&overload_exp, 'int' => \&overload_int, 'sqrt' => \&overload_sqrt; require Exporter; *import = \&Exporter::import; require DynaLoader; @Math::MPFR::EXPORT_OK = qw(GMP_RNDN GMP_RNDZ GMP_RNDU GMP_RNDD MPFR_RNDN MPFR_RNDZ MPFR_RNDU MPFR_RNDD MPFR_RNDA MPFR_RNDF MPFR_FLAGS_UNDERFLOW MPFR_FLAGS_OVERFLOW MPFR_FLAGS_DIVBY0 MPFR_FLAGS_NAN MPFR_FLAGS_INEXACT MPFR_FLAGS_ERANGE MPFR_FLAGS_ALL MPFR_VERSION MPFR_VERSION_MAJOR MPFR_VERSION_MINOR MPFR_VERSION_PATCHLEVEL MPFR_VERSION_STRING RMPFR_VERSION_NUM RMPFR_PREC_MIN RMPFR_PREC_MAX MPFR_FREE_LOCAL_CACHE MPFR_FREE_GLOBAL_CACHE Rmpfr_randclear Rmpfr_randinit_mt Rmpfr_randinit_default Rmpfr_randinit_lc_2exp Rmpfr_randinit_lc_2exp_size Rmpfr_randseed Rmpfr_randseed_ui Rmpfr_abs Rmpfr_acos Rmpfr_acosh Rmpfr_add Rmpfr_add_q Rmpfr_add_si Rmpfr_add_ui Rmpfr_add_z Rmpfr_agm Rmpfr_asin Rmpfr_asinh Rmpfr_atan Rmpfr_atan2 Rmpfr_atanh Rmpfr_can_round Rmpfr_cbrt Rmpfr_ceil Rmpfr_check_range Rmpfr_clear Rmpfr_clears Rmpfr_clear_erangeflag Rmpfr_clear_flags Rmpfr_clear_inexflag Rmpfr_clear_nanflag Rmpfr_clear_overflow Rmpfr_clear_underflow Rmpfr_cmp Rmpfr_cmp_d Rmpfr_cmp_f Rmpfr_cmp_ld Rmpfr_cmp_q Rmpfr_cmp_si Rmpfr_cmp_si_2exp Rmpfr_cmp_ui Rmpfr_cmp_ui_2exp Rmpfr_cmp_z Rmpfr_cmpabs Rmpfr_cmpabs_ui Rmpfr_total_order_p Rmpfr_const_catalan Rmpfr_const_euler Rmpfr_const_log2 Rmpfr_const_pi Rmpfr_cos Rmpfr_cosh Rmpfr_cot Rmpfr_coth Rmpfr_csc Rmpfr_csch Rmpfr_deref2 Rmpfr_dim Rmpfr_div Rmpfr_div_2exp Rmpfr_div_2si Rmpfr_div_2ui Rmpfr_div_q Rmpfr_div_si Rmpfr_div_ui Rmpfr_div_z Rmpfr_dump Rmpfr_eint Rmpfr_q_div Rmpfr_z_div Rmpfr_eq Rmpfr_equal_p Rmpfr_erangeflag_p Rmpfr_erf Rmpfr_erfc Rmpfr_exp Rmpfr_exp10 Rmpfr_exp2 Rmpfr_expm1 Rmpfr_fac_ui Rmpfr_fits_intmax_p Rmpfr_fits_sint_p Rmpfr_fits_slong_p Rmpfr_fits_sshort_p Rmpfr_fits_uint_p Rmpfr_fits_uintmax_p Rmpfr_fits_ulong_p Rmpfr_fits_IV_p Rmpfr_fits_UV_p Rmpfr_fits_ushort_p Rmpfr_floor Rmpfr_fma Rmpfr_frac Rmpfr_gamma Rmpfr_free_cache Rmpfr_free_cache2 Rmpfr_free_pool Rmpfr_get_d Rmpfr_get_IV Rmpfr_get_UV Rmpfr_get_NV Rmpfr_get_d_2exp Rmpfr_get_d1 Rmpfr_get_default_prec Rmpfr_get_default_rounding_mode Rmpfr_get_emax Rmpfr_get_emax_max Rmpfr_get_emax_min Rmpfr_get_emin Rmpfr_get_emin_max Rmpfr_get_emin_min Rmpfr_get_exp Rmpfr_get_f Rmpfr_get_ld Rmpfr_get_LD Rmpfr_get_ld_2exp Rmpfr_get_prec Rmpfr_get_si Rmpfr_get_sj Rmpfr_get_str Rmpfr_get_ui Rmpfr_get_uj Rmpfr_get_q Rmpfr_get_version Rmpfr_get_z Rmpfr_get_z_exp Rmpfr_get_z_2exp Rmpfr_greater_p Rmpfr_greaterequal_p Rmpfr_hypot Rmpfr_inexflag_p Rmpfr_inf_p Rmpfr_init Rmpfr_init2 Rmpfr_init2_nobless Rmpfr_inits Rmpfr_inits2 Rmpfr_inits_nobless Rmpfr_inits2_nobless Rmpfr_init_nobless Rmpfr_init_set Rmpfr_init_set_d Rmpfr_init_set_d_nobless Rmpfr_init_set_f Rmpfr_init_set_f_nobless Rmpfr_init_set_nobless Rmpfr_init_set_q Rmpfr_init_set_q_nobless Rmpfr_init_set_si Rmpfr_init_set_si_nobless Rmpfr_init_set_str Rmpfr_init_set_str_nobless Rmpfr_init_set_ui Rmpfr_init_set_ui_nobless Rmpfr_init_set_z Rmpfr_init_set_z_nobless Rmpfr_inp_str TRmpfr_inp_str Rmpfr_integer_p Rmpfr_integer_string Rmpfr_less_p Rmpfr_lessequal_p Rmpfr_lessgreater_p Rmpfr_lngamma Rmpfr_log Rmpfr_log10 Rmpfr_log1p Rmpfr_log2 Rmpfr_max Rmpfr_min Rmpfr_min_prec Rmpfr_mul Rmpfr_mul_2exp Rmpfr_mul_2si Rmpfr_mul_2ui Rmpfr_mul_q Rmpfr_mul_si Rmpfr_mul_ui Rmpfr_mul_z Rmpfr_nan_p Rmpfr_nanflag_p Rmpfr_neg Rmpfr_nextabove Rmpfr_nextbelow Rmpfr_nexttoward Rmpfr_number_p Rmpfr_out_str TRmpfr_out_str Rmpfr_overflow_p Rmpfr_pow Rmpfr_pow_si Rmpfr_pow_ui Rmpfr_pow_z Rmpfr_prec_round Rmpfr_print_rnd_mode Rmpfr_random2 Rmpfr_reldiff Rmpfr_rint Rmpfr_rint_ceil Rmpfr_rint_floor Rmpfr_rint_round Rmpfr_rint_trunc Rmpfr_root Rmpfr_rootn_ui Rmpfr_round Rmpfr_sec Rmpfr_sech Rmpfr_set Rmpfr_set_d Rmpfr_set_default_prec Rmpfr_set_default_rounding_mode Rmpfr_set_emax Rmpfr_set_emin Rmpfr_set_erangeflag Rmpfr_set_exp Rmpfr_set_f Rmpfr_set_inexflag Rmpfr_set_inf Rmpfr_set_ld Rmpfr_set_LD Rmpfr_set_NV Rmpfr_cmp_NV Rmpfr_set_nan Rmpfr_set_nanflag Rmpfr_set_overflow Rmpfr_set_prec Rmpfr_set_prec_raw Rmpfr_set_q Rmpfr_set_si Rmpfr_set_si_2exp Rmpfr_set_sj Rmpfr_set_sj_2exp Rmpfr_set_str Rmpfr_set_ui Rmpfr_set_ui_2exp Rmpfr_set_uj Rmpfr_set_uj_2exp Rmpfr_set_DECIMAL64 Rmpfr_get_DECIMAL64 Rmpfr_set_float128 Rmpfr_get_float128 Rmpfr_set_FLOAT128 Rmpfr_get_FLOAT128 Rmpfr_set_DECIMAL128 Rmpfr_get_DECIMAL128 Rmpfr_set_underflow Rmpfr_set_z Rmpfr_sgn Rmpfr_si_div Rmpfr_si_sub Rmpfr_sin Rmpfr_sin_cos Rmpfr_sinh_cosh Rmpfr_sinh Rmpfr_sqr Rmpfr_sqrt Rmpfr_sqrt_ui Rmpfr_strtofr Rmpfr_sub Rmpfr_sub_q Rmpfr_sub_si Rmpfr_sub_ui Rmpfr_sub_z Rmpfr_subnormalize Rmpfr_sum Rmpfr_swap Rmpfr_tan Rmpfr_tanh Rmpfr_trunc Rmpfr_ui_div Rmpfr_ui_pow Rmpfr_ui_pow_ui Rmpfr_ui_sub Rmpfr_underflow_p Rmpfr_unordered_p Rmpfr_urandomb Rmpfr_zero_p Rmpfr_zeta Rmpfr_zeta_ui Rmpfr_j0 Rmpfr_j1 Rmpfr_jn Rmpfr_y0 Rmpfr_y1 Rmpfr_yn Rmpfr_lgamma Rmpfr_signbit Rmpfr_setsign Rmpfr_copysign Rmpfr_get_patches Rmpfr_remainder Rmpfr_remquo Rmpfr_fms Rmpfr_init_set_ld Rmpfr_add_d Rmpfr_sub_d Rmpfr_d_sub Rmpfr_mul_d Rmpfr_div_d Rmpfr_d_div Rmpfr_rec_sqrt Rmpfr_rec_root Rmpfr_li2 Rmpfr_modf Rmpfr_fmod Rmpfr_printf Rmpfr_fprintf Rmpfr_sprintf Rmpfr_snprintf Rmpfr_buildopt_tls_p Rmpfr_buildopt_decimal_p Rmpfr_regular_p Rmpfr_set_zero Rmpfr_digamma Rmpfr_ai Rmpfr_set_flt Rmpfr_get_flt Rmpfr_urandom Rmpfr_set_z_2exp Rmpfr_set_divby0 Rmpfr_clear_divby0 Rmpfr_divby0_p Rmpfr_buildopt_tune_case Rmpfr_frexp Rmpfr_grandom Rmpfr_z_sub Rmpfr_buildopt_gmpinternals_p Rmpfr_buildopt_float128_p Rmpfr_buildopt_sharedcache_p prec_cast bytes MPFR_DBL_DIG MPFR_LDBL_DIG MPFR_FLT128_DIG mpfr_max_orig_len mpfr_min_inter_prec Rmpfr_fmodquo Rmpfr_fpif_export Rmpfr_fpif_import Rmpfr_flags_clear Rmpfr_flags_set Rmpfr_flags_test Rmpfr_flags_save Rmpfr_flags_restore Rmpfr_rint_roundeven Rmpfr_roundeven Rmpfr_nrandom Rmpfr_erandom Rmpfr_fmma Rmpfr_fmms Rmpfr_log_ui Rmpfr_gamma_inc Rmpfr_beta Rmpfr_round_nearest_away rndna atonv nvtoa atodouble doubletoa numtoa atonum Rmpfr_dot Rmpfr_get_str_ndigits Rmpfr_get_str_ndigits_alt ); our $VERSION = '4.14'; #$VERSION = eval $VERSION; Math::MPFR->DynaLoader::bootstrap($VERSION); %Math::MPFR::EXPORT_TAGS =(mpfr => [qw( GMP_RNDN GMP_RNDZ GMP_RNDU GMP_RNDD MPFR_RNDN MPFR_RNDZ MPFR_RNDU MPFR_RNDD MPFR_RNDA MPFR_RNDF MPFR_FLAGS_UNDERFLOW MPFR_FLAGS_OVERFLOW MPFR_FLAGS_DIVBY0 MPFR_FLAGS_NAN MPFR_FLAGS_INEXACT MPFR_FLAGS_ERANGE MPFR_FLAGS_ALL MPFR_VERSION MPFR_VERSION_MAJOR MPFR_VERSION_MINOR MPFR_VERSION_PATCHLEVEL MPFR_VERSION_STRING RMPFR_VERSION_NUM RMPFR_PREC_MIN RMPFR_PREC_MAX MPFR_FREE_LOCAL_CACHE MPFR_FREE_GLOBAL_CACHE Rmpfr_randclear Rmpfr_randinit_mt Rmpfr_randinit_default Rmpfr_randinit_lc_2exp Rmpfr_randinit_lc_2exp_size Rmpfr_randseed Rmpfr_randseed_ui Rmpfr_abs Rmpfr_acos Rmpfr_acosh Rmpfr_add Rmpfr_add_q Rmpfr_add_si Rmpfr_add_ui Rmpfr_add_z Rmpfr_agm Rmpfr_asin Rmpfr_asinh Rmpfr_atan Rmpfr_atan2 Rmpfr_atanh Rmpfr_can_round Rmpfr_cbrt Rmpfr_ceil Rmpfr_check_range Rmpfr_clear Rmpfr_clears Rmpfr_clear_erangeflag Rmpfr_clear_flags Rmpfr_clear_inexflag Rmpfr_clear_nanflag Rmpfr_clear_overflow Rmpfr_clear_underflow Rmpfr_cmp Rmpfr_cmp_d Rmpfr_cmp_f Rmpfr_cmp_ld Rmpfr_cmp_q Rmpfr_cmp_si Rmpfr_cmp_si_2exp Rmpfr_cmp_ui Rmpfr_cmp_ui_2exp Rmpfr_cmp_z Rmpfr_cmpabs Rmpfr_cmpabs_ui Rmpfr_total_order_p Rmpfr_const_catalan Rmpfr_const_euler Rmpfr_const_log2 Rmpfr_const_pi Rmpfr_cos Rmpfr_cosh Rmpfr_cot Rmpfr_coth Rmpfr_csc Rmpfr_csch Rmpfr_deref2 Rmpfr_dim Rmpfr_div Rmpfr_div_2exp Rmpfr_div_2si Rmpfr_div_2ui Rmpfr_div_q Rmpfr_div_si Rmpfr_div_ui Rmpfr_div_z Rmpfr_dump Rmpfr_eint Rmpfr_q_div Rmpfr_z_div Rmpfr_eq Rmpfr_equal_p Rmpfr_erangeflag_p Rmpfr_erf Rmpfr_erfc Rmpfr_exp Rmpfr_exp10 Rmpfr_exp2 Rmpfr_expm1 Rmpfr_fac_ui Rmpfr_fits_intmax_p Rmpfr_fits_sint_p Rmpfr_fits_slong_p Rmpfr_fits_sshort_p Rmpfr_fits_uint_p Rmpfr_fits_uintmax_p Rmpfr_fits_ulong_p Rmpfr_fits_IV_p Rmpfr_fits_UV_p Rmpfr_fits_ushort_p Rmpfr_floor Rmpfr_fma Rmpfr_frac Rmpfr_gamma Rmpfr_free_cache Rmpfr_free_cache2 Rmpfr_free_pool Rmpfr_get_d Rmpfr_get_IV Rmpfr_get_UV Rmpfr_get_NV Rmpfr_get_d_2exp Rmpfr_get_d1 Rmpfr_get_default_prec Rmpfr_get_default_rounding_mode Rmpfr_get_emax Rmpfr_get_emax_max Rmpfr_get_emax_min Rmpfr_get_emin Rmpfr_get_emin_max Rmpfr_get_emin_min Rmpfr_get_exp Rmpfr_get_f Rmpfr_get_ld Rmpfr_get_LD Rmpfr_get_ld_2exp Rmpfr_get_prec Rmpfr_get_si Rmpfr_get_sj Rmpfr_get_str Rmpfr_get_ui Rmpfr_get_uj Rmpfr_get_version Rmpfr_get_z Rmpfr_get_z_exp Rmpfr_get_z_2exp Rmpfr_greater_p Rmpfr_greaterequal_p Rmpfr_hypot Rmpfr_get_q Rmpfr_inexflag_p Rmpfr_inf_p Rmpfr_init Rmpfr_init2 Rmpfr_init2_nobless Rmpfr_inits Rmpfr_inits2 Rmpfr_inits_nobless Rmpfr_inits2_nobless Rmpfr_init_nobless Rmpfr_init_set Rmpfr_init_set_d Rmpfr_init_set_d_nobless Rmpfr_init_set_f Rmpfr_init_set_f_nobless Rmpfr_init_set_nobless Rmpfr_init_set_q Rmpfr_init_set_q_nobless Rmpfr_init_set_si Rmpfr_init_set_si_nobless Rmpfr_init_set_str Rmpfr_init_set_str_nobless Rmpfr_init_set_ui Rmpfr_init_set_ui_nobless Rmpfr_init_set_z Rmpfr_init_set_z_nobless Rmpfr_inp_str TRmpfr_inp_str Rmpfr_integer_p Rmpfr_integer_string Rmpfr_less_p Rmpfr_lessequal_p Rmpfr_lessgreater_p Rmpfr_lngamma Rmpfr_log Rmpfr_log10 Rmpfr_log1p Rmpfr_log2 Rmpfr_max Rmpfr_min Rmpfr_min_prec Rmpfr_mul Rmpfr_mul_2exp Rmpfr_mul_2si Rmpfr_mul_2ui Rmpfr_mul_q Rmpfr_mul_si Rmpfr_mul_ui Rmpfr_mul_z Rmpfr_nan_p Rmpfr_nanflag_p Rmpfr_neg Rmpfr_nextabove Rmpfr_nextbelow Rmpfr_nexttoward Rmpfr_number_p Rmpfr_out_str TRmpfr_out_str Rmpfr_overflow_p Rmpfr_pow Rmpfr_pow_si Rmpfr_pow_ui Rmpfr_pow_z Rmpfr_prec_round Rmpfr_print_rnd_mode Rmpfr_random2 Rmpfr_reldiff Rmpfr_rint Rmpfr_rint_ceil Rmpfr_rint_floor Rmpfr_rint_round Rmpfr_rint_trunc Rmpfr_root Rmpfr_rootn_ui Rmpfr_round Rmpfr_sec Rmpfr_sech Rmpfr_set Rmpfr_set_d Rmpfr_set_default_prec Rmpfr_set_default_rounding_mode Rmpfr_set_emax Rmpfr_set_emin Rmpfr_set_erangeflag Rmpfr_set_exp Rmpfr_set_f Rmpfr_set_inexflag Rmpfr_set_inf Rmpfr_set_ld Rmpfr_set_LD Rmpfr_set_NV Rmpfr_cmp_NV Rmpfr_set_nan Rmpfr_set_nanflag Rmpfr_set_overflow Rmpfr_set_prec Rmpfr_set_prec_raw Rmpfr_set_q Rmpfr_set_si Rmpfr_set_si_2exp Rmpfr_set_sj Rmpfr_set_sj_2exp Rmpfr_set_str Rmpfr_set_ui Rmpfr_set_ui_2exp Rmpfr_set_uj Rmpfr_set_uj_2exp Rmpfr_set_DECIMAL64 Rmpfr_get_DECIMAL64 Rmpfr_set_float128 Rmpfr_get_float128 Rmpfr_set_FLOAT128 Rmpfr_get_FLOAT128 Rmpfr_set_DECIMAL128 Rmpfr_get_DECIMAL128 Rmpfr_set_underflow Rmpfr_set_z Rmpfr_sgn Rmpfr_si_div Rmpfr_si_sub Rmpfr_sin Rmpfr_sin_cos Rmpfr_sinh_cosh Rmpfr_sinh Rmpfr_sqr Rmpfr_sqrt Rmpfr_sqrt_ui Rmpfr_strtofr Rmpfr_sub Rmpfr_sub_q Rmpfr_sub_si Rmpfr_sub_ui Rmpfr_sub_z Rmpfr_subnormalize Rmpfr_sum Rmpfr_swap Rmpfr_tan Rmpfr_tanh Rmpfr_trunc Rmpfr_ui_div Rmpfr_ui_pow Rmpfr_ui_pow_ui Rmpfr_ui_sub Rmpfr_underflow_p Rmpfr_unordered_p Rmpfr_urandomb Rmpfr_zero_p Rmpfr_zeta Rmpfr_zeta_ui Rmpfr_j0 Rmpfr_j1 Rmpfr_jn Rmpfr_y0 Rmpfr_y1 Rmpfr_yn Rmpfr_lgamma Rmpfr_signbit Rmpfr_setsign Rmpfr_copysign Rmpfr_get_patches Rmpfr_remainder Rmpfr_remquo Rmpfr_fms Rmpfr_init_set_ld Rmpfr_add_d Rmpfr_sub_d Rmpfr_d_sub Rmpfr_mul_d Rmpfr_div_d Rmpfr_d_div Rmpfr_rec_sqrt Rmpfr_rec_root Rmpfr_li2 Rmpfr_modf Rmpfr_fmod Rmpfr_printf Rmpfr_fprintf Rmpfr_sprintf Rmpfr_snprintf Rmpfr_buildopt_tls_p Rmpfr_buildopt_decimal_p Rmpfr_regular_p Rmpfr_set_zero Rmpfr_digamma Rmpfr_ai Rmpfr_set_flt Rmpfr_get_flt Rmpfr_urandom Rmpfr_set_z_2exp Rmpfr_set_divby0 Rmpfr_clear_divby0 Rmpfr_divby0_p Rmpfr_buildopt_tune_case Rmpfr_frexp Rmpfr_grandom Rmpfr_z_sub Rmpfr_buildopt_gmpinternals_p Rmpfr_buildopt_float128_p Rmpfr_buildopt_sharedcache_p prec_cast MPFR_DBL_DIG MPFR_LDBL_DIG MPFR_FLT128_DIG mpfr_max_orig_len mpfr_min_inter_prec Rmpfr_fmodquo Rmpfr_fpif_export Rmpfr_fpif_import Rmpfr_flags_clear Rmpfr_flags_set Rmpfr_flags_test Rmpfr_flags_save Rmpfr_flags_restore Rmpfr_rint_roundeven Rmpfr_roundeven Rmpfr_nrandom Rmpfr_erandom Rmpfr_fmma Rmpfr_fmms Rmpfr_log_ui Rmpfr_gamma_inc Rmpfr_beta Rmpfr_round_nearest_away rndna atonv nvtoa atodouble doubletoa numtoa atonum Rmpfr_dot Rmpfr_get_str_ndigits Rmpfr_get_str_ndigits_alt )]); $Math::MPFR::NNW = 0; # Set to 1 to allow "non-numeric" warnings for operations involving # strings that contain non-numeric characters. $Math::MPFR::NOK_POK = 0; # Set to 1 to allow warnings in new() and overloaded operations when # a scalar that has set both NOK (NV) and POK (PV) flags is encountered $Math::MPFR::doubletoa_fallback = 0; # If FALLBACK_NOTIFY is defined, this scalar Will be automatically # incremented whenever the grisu3 algorithm (used by doubletoa) fails # to produce correct result, and thus falls back to its designated # fallback routine. (See the doubletoa documentation for details.) %Math::MPFR::NV_properties = _get_NV_properties(); my %bytes = (53 => \&_d_bytes, 64 => \&_ld_bytes, 2098 => \&_dd_bytes, 113 => \&_f128_bytes, ); my %fmt = (53 => 'a8', 64 => 'a10', 2098 => 'a16', 113 => 'a16', ); sub dl_load_flags {0} # Prevent DynaLoader from complaining and croaking sub Rmpfr_out_str { if(@_ == 4) { die "Inappropriate 1st arg supplied to Rmpfr_out_str" if _itsa($_[0]) != _MATH_MPFR_T; return _Rmpfr_out_str($_[0], $_[1], $_[2], $_[3]); } if(@_ == 5) { if(_itsa($_[0]) == _MATH_MPFR_T) {return _Rmpfr_out_strS($_[0], $_[1], $_[2], $_[3], $_[4])} die "Incorrect args supplied to Rmpfr_out_str" if _itsa($_[1]) != _MATH_MPFR_T; return _Rmpfr_out_strP($_[0], $_[1], $_[2], $_[3], $_[4]); } if(@_ == 6) { die "Inappropriate 2nd arg supplied to Rmpfr_out_str" if _itsa($_[1]) != _MATH_MPFR_T; return _Rmpfr_out_strPS($_[0], $_[1], $_[2], $_[3], $_[4], $_[5]); } die "Wrong number of arguments supplied to Rmpfr_out_str()"; } sub TRmpfr_out_str { if(@_ == 5) { die "Inappropriate 4th arg supplied to TRmpfr_out_str" if _itsa($_[3]) != _MATH_MPFR_T; return _TRmpfr_out_str($_[0], $_[1], $_[2], $_[3], $_[4]); } if(@_ == 6) { if(_itsa($_[3]) == _MATH_MPFR_T) {return _TRmpfr_out_strS($_[0], $_[1], $_[2], $_[3], $_[4], $_[5])} die "Incorrect args supplied to TRmpfr_out_str" if _itsa($_[4]) != _MATH_MPFR_T; return _TRmpfr_out_strP($_[0], $_[1], $_[2], $_[3], $_[4], $_[5]); } if(@_ == 7) { die "Inappropriate 5th arg supplied to TRmpfr_out_str" if _itsa($_[4]) != _MATH_MPFR_T; return _TRmpfr_out_strPS($_[0], $_[1], $_[2], $_[3], $_[4], $_[5], $_[6]); } die "Wrong number of arguments supplied to TRmpfr_out_str()"; } sub Rmpfr_get_str { my ($mantissa, $exponent) = Rmpfr_deref2($_[0], $_[1], $_[2], $_[3]); if($mantissa =~ s/@//g) { return $mantissa } if($mantissa =~ /\-/ && $mantissa !~ /[^0,\-]/) {return '-0'} if($mantissa !~ /[^0]/ ) {return '0'} my $len = substr($mantissa, 0, 1) eq '-' ? 2 : 1; if(!$_[2]) { while(length($mantissa) > $len && substr($mantissa, -1, 1) eq '0') { substr($mantissa, -1, 1, ''); } } $exponent--; my $sep = $_[1] <= 10 ? 'e' : '@'; if(length($mantissa) == $len) { if($exponent) {return $mantissa . $sep . $exponent} return $mantissa; } substr($mantissa, $len, 0, '.'); if($exponent) {return $mantissa . $sep . $exponent} return $mantissa; } sub overload_string { return Rmpfr_get_str($_[0], 10, 0, Rmpfr_get_default_rounding_mode()); } sub Rmpfr_integer_string { if($_[1] < 2 || $_[1] > 36) {die("Second argument supplied to Rmpfr_integer_string() is not in acceptable range")} my($mantissa, $exponent) = Rmpfr_deref2($_[0], $_[1], 0, $_[2]); if($mantissa =~ s/@//g) { return $mantissa } if($mantissa =~ /\-/ && $mantissa !~ /[^0,\-]/) {return '-0'} return 0 if $exponent < 1; my $sign = substr($mantissa, 0, 1) eq '-' ? 1 : 0; $mantissa = substr($mantissa, 0, $exponent + $sign); return $mantissa; } sub new { # This function caters for 2 possibilities: # 1) that 'new' has been called OOP style - in which # case there will be a maximum of 3 args # 2) that 'new' has been called as a function - in # which case there will be a maximum of 2 args. # If there are no args, then we just want to return an # initialized Math::MPFR object if(!@_) {return Rmpfr_init()} if(@_ > 3) {die "Too many arguments supplied to new()"} # If 'new' has been called OOP style, the first arg is the string # "Math::MPFR" which we don't need - so let's remove it. However, # if the first arg is a Math::MPFR object (which is a possibility), # then we'll get a fatal error when we check it for equivalence to # the string "Math::MPFR". So we first need to check that it's not # an object - which we'll do by using the ref() function: if(!ref($_[0]) && $_[0] eq "Math::MPFR") { shift; if(!@_) {return Rmpfr_init()} } # @_ can now contain a maximum of 2 args - the value, and if the value is # a string, (optionally) the base of the numeric string. if(@_ > 2) {die "Too many arguments supplied to new() - expected no more than two"} my ($arg1, $type, $base); # $_[0] is the value, $_[1] (if supplied) is the base of the number # in the string $[_0]. $arg1 = shift; $base = 0; $type = _itsa($arg1); if(!$type) {die "Inappropriate argument supplied to new()"} my @ret; # Create a Math::MPFR object that has $arg1 as its value. # Die if there are any additional args (unless $type == 4) if($type == _UOK_T) { if(@_ ) {die "Too many arguments supplied to new() - expected only one"} if(Math::MPFR::_has_longlong()) { my $ret = Rmpfr_init(); Rmpfr_set_uj($ret, $arg1, Rmpfr_get_default_rounding_mode()); return $ret; } else { @ret = Rmpfr_init_set_ui($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } } if($type == _IOK_T) { if(@_ ) {die "Too many arguments supplied to new() - expected only one"} if(Math::MPFR::_has_longlong()) { my $ret = Rmpfr_init(); Rmpfr_set_sj($ret, $arg1, Rmpfr_get_default_rounding_mode()); return $ret; } else { @ret = Rmpfr_init_set_si($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } } if($type == _NOK_T) { if(@_ ) {die "Too many arguments supplied to new() - expected only one"} my $ret = Rmpfr_init(); Rmpfr_set_NV($ret, $arg1, Rmpfr_get_default_rounding_mode()); return $ret; } if($type == _POK_T) { if(@_ > 1) {die "Too many arguments supplied to new() - expected no more than two"} if(_SvNOK($arg1)) { set_nok_pok(nok_pokflag() + 1); if($Math::MPFR::NOK_POK) { warn "Scalar passed to new() is both NV and PV. Using PV (string) value"; } } $base = shift if @_; @ret = Rmpfr_init_set_str($arg1, $base, Rmpfr_get_default_rounding_mode()); return $ret[0]; } if($type == _MATH_MPFR_T) { if(@_) {die "Too many arguments supplied to new() - expected only one"} @ret = Rmpfr_init_set($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } if($type == _MATH_GMPf_T) { if(@_) {die "Too many arguments supplied to new() - expected only one"} @ret = Rmpfr_init_set_f($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } if($type == _MATH_GMPq_T) { if(@_) {die "Too many arguments supplied to new() - expected only one"} @ret = Rmpfr_init_set_q($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } if($type == _MATH_GMPz_T || $type == _MATH_GMP_T) { if(@_) {die "Too many arguments supplied to new() - expected only one"} @ret = Rmpfr_init_set_z($arg1, Rmpfr_get_default_rounding_mode()); return $ret[0]; } } sub Rmpfr_printf { if(@_ == 3){wrap_mpfr_printf_rnd(@_)} else {die "Rmpfr_printf must take 2 or 3 arguments: format string, [rounding,], and variable" if @_ != 2; wrap_mpfr_printf(@_)} } sub Rmpfr_fprintf { if(@_ == 4){wrap_mpfr_fprintf_rnd(@_)} else {die "Rmpfr_fprintf must take 3 or 4 arguments: filehandle, format string, [rounding,], and variable" if @_ != 3; wrap_mpfr_fprintf(@_)} } sub Rmpfr_sprintf { my $len; if(@_ == 5){ $len = wrap_mpfr_sprintf_rnd(@_); return $len; } die "Rmpfr_sprintf must take 4 or 5 arguments: buffer, format string, [rounding,], variable and buffer size" if @_ != 4; $len = wrap_mpfr_sprintf(@_); return $len; } sub Rmpfr_snprintf { my $len; if(@_ == 6){ $len = wrap_mpfr_snprintf_rnd(@_); return $len; } die "Rmpfr_snprintf must take 5 or 6 arguments: buffer, bytes written, format string, [rounding,], variable and buffer size" if @_ != 5; $len = wrap_mpfr_snprintf(@_); return $len; } sub Rmpfr_inits { my @ret; for(1 .. $_[0]) { $ret[$_ - 1] = Rmpfr_init(); } return @ret; } sub Rmpfr_inits2 { my @ret; for(1 .. $_[1]) { $ret[$_ - 1] = Rmpfr_init2($_[0]); } return @ret; } sub Rmpfr_inits_nobless { my @ret; for(1 .. $_[0]) { $ret[$_ - 1] = Rmpfr_init_nobless(); } return @ret; } sub Rmpfr_inits2_nobless { my @ret; for(1 .. $_[1]) { $ret[$_ - 1] = Rmpfr_init2_nobless($_[0]); } return @ret; } sub MPFR_VERSION () {return _MPFR_VERSION()} sub MPFR_VERSION_MAJOR () {return _MPFR_VERSION_MAJOR()} sub MPFR_VERSION_MINOR () {return _MPFR_VERSION_MINOR()} sub MPFR_VERSION_PATCHLEVEL () {return _MPFR_VERSION_PATCHLEVEL()} sub MPFR_VERSION_STRING () {return _MPFR_VERSION_STRING()} sub MPFR_DBL_DIG () {return _DBL_DIG()} sub MPFR_LDBL_DIG () {return _LDBL_DIG()} sub MPFR_FLT128_DIG () {return _FLT128_DIG()} sub GMP_LIMB_BITS () {return _GMP_LIMB_BITS()} sub GMP_NAIL_BITS () {return _GMP_NAIL_BITS()} sub atonum { if(MPFR_3_1_6_OR_LATER) { my $copy = $_[0]; # Don't mess with $_[0] flags my $ret = "$copy" + 0; return $ret if _itsa($ret) < 3; # IV return atonv($_[0]); # NV } die("atonum needs atonv, but atonv is not available with this version (", MPFR_VERSION_STRING, ") of the mpfr library"); } sub mpfr_min_inter_prec { die "Wrong number of args to mpfr_min_inter_prec()" unless @_ == 3; my $ob = shift; # base of original representation my $op = shift; # precision (no. of base $ob digits in mantissa) of original representation my $nb = shift; # base of new representation my $np; # min required precision (no. of base $nb digits in mantissa) of new representation my %h = (2 => 1, 4 => 2, 8 => 3, 16 => 4, 32 => 5, 64 => 6, 3 => 1, 9 => 2, 27 => 3, 5 => 1, 25 => 2, 6 => 1, 36 => 2, 7 => 1, 49 => 2); return $op if $ob == $nb; if(_bases_are_power_of_same_integer($ob, $nb)) { $np = POSIX::ceil($op * $h{$ob} / $h{$nb}); return $np; } $np = POSIX::ceil(1 + ($op * log($ob) / log($nb))); return $np; } sub mpfr_max_orig_len { die "Wrong number of args to maximum_orig_length()" if @_ != 3; my $ob = shift; # base of original representation my $nb = shift; # base of new representation my $np = shift; # precision (no. of base $nb digits in mantissa) of new representation my $op; # max precision (no. of base $ob digits in mantissa) of original representation my %h = (2 => 1, 4 => 2, 8 => 3, 16 => 4, 32 => 5, 64 => 6, 3 => 1, 9 => 2, 27 => 3, 5 => 1, 25 => 2, 6 => 1, 36 => 2, 7 => 1, 49 => 2); return $np if $ob == $nb; if(_bases_are_power_of_same_integer($ob, $nb)) { $op = POSIX::floor($np * $h{$nb} / $h{$ob}); return $op; } $op = POSIX::floor(($np - 1) * log($nb) / log($ob)); return $op; } sub _bases_are_power_of_same_integer { # This function currently doesn't get called if $_[0] == $_[1] # Return true if: # 1) Both $_[0] and $_[1] are in the range 2..64 (inclusive) # && # 2) Both $_[0] and $_[1] are powers of the same integer - eg 8 & 32, or 9 & 27, or 7 & 49, .... # Else return false. return 1 if( ($_[0] == 2 || $_[0] == 16 || $_[0] == 8 || $_[0] == 64 || $_[0] == 32 || $_[0] == 4) && ($_[1] == 2 || $_[1] == 16 || $_[1] == 8 || $_[1] == 64 || $_[1] == 32 || $_[1] == 4) ); return 1 if( ($_[0] == 3 || $_[0] == 9 || $_[0] == 27) && ($_[1] == 3 || $_[1] == 9 || $_[1] == 27) ); return 1 if( ($_[0] == 5 || $_[0] == 25) && ($_[1] == 5 || $_[1] == 25) ); return 1 if( ($_[0] == 6 || $_[0] == 36) && ($_[1] == 6 || $_[1] == 36) ); return 1 if( ($_[0] == 7 || $_[0] == 49) && ($_[1] == 7 || $_[1] == 49) ); return 0; } sub bytes { my($val, $bits, $ret) = (shift, shift); my $itsa = _itsa($val); die "1st arg to Math::MPFR::bytes must be either a string or a Math::MPFR object" if($itsa != 4 && $itsa != 5); die "2nd argument given to Math::MPFR::bytes is neither 53 nor 64 nor 2098 nor 113" unless($bits == 53 || $bits == 64 || $bits == 2098 || $bits == 113); $ret = $itsa == 4 ? unpack MM_HP, pack $fmt{$bits}, $bytes {$bits} -> ($val) : unpack MM_HP, pack $fmt{$bits}, _bytes_fr($val, $bits); return scalar reverse $ret if LITTLE_ENDIAN; return $ret; } sub rndna { my $coderef = shift; my $rop = shift; my $big_prec = Rmpfr_get_prec($rop) + 1; my $ret; if($coderef == \&Rmpfr_prec_round) { my $temp = Rmpfr_init2($big_prec); # need a temp object Rmpfr_set($temp, $rop, MPFR_RNDN); $ret = Rmpfr_prec_round($temp, $_[0] + 1, MPFR_RNDN); if(!$ret) {return Rmpfr_prec_round($rop, $_[0], MPFR_RNDA)} return Rmpfr_prec_round($rop, $_[0], MPFR_RNDN); } Rmpfr_prec_round($rop, $big_prec, MPFR_RNDN); $ret = $coderef->($rop, @_, MPFR_RNDN); if($ret) { # not a midpoint value Rmpfr_prec_round($rop, $big_prec - 1, $ret < 0 ? MPFR_RNDA : MPFR_RNDZ); return $ret; } if(_lsb($rop) == 0) { Rmpfr_prec_round($rop, $big_prec - 1, MPFR_RNDZ); return 0; } return Rmpfr_prec_round($rop, $big_prec - 1, MPFR_RNDA); } sub Rmpfr_round_nearest_away { my $coderef = shift; my $rop = shift; my $big_prec = Rmpfr_get_prec($rop) + 1; my $ret; my $emin = Rmpfr_get_emin(); if($emin <= Rmpfr_get_emin_min()) { warn "\n Rmpfr_round_nearest_away requires that emin ($emin)\n", " be greater than or equal to emin_min (", Rmpfr_get_emin_min(), ")\n"; die " You need to set emin (using Rmpfr_set_emin()) accordingly"; } Rmpfr_set_emin($emin - 1); if($coderef == \&Rmpfr_prec_round) { my $temp = Rmpfr_init2($big_prec); # need a temp object Rmpfr_set($temp, $rop, MPFR_RNDN); $ret = Rmpfr_prec_round($temp, $_[0] + 1, MPFR_RNDN); if(!$ret) { $ret = Rmpfr_prec_round($rop, $_[0], MPFR_RNDA); Rmpfr_set_emin($emin); return $ret; } $ret = Rmpfr_prec_round($rop, $_[0], MPFR_RNDN); Rmpfr_set_emin($emin); return $ret; } Rmpfr_prec_round($rop, $big_prec, MPFR_RNDN); $ret = $coderef->($rop, @_, MPFR_RNDN); if($ret) { # not a midpoint value Rmpfr_prec_round($rop, $big_prec - 1, $ret < 0 ? MPFR_RNDA : MPFR_RNDZ); Rmpfr_set_emin($emin); return $ret; } my $nuisance = Rmpfr_init(); Rmpfr_set_ui ($nuisance, 2, MPFR_RNDD); Rmpfr_pow_si ($nuisance, $nuisance, Rmpfr_get_emin(), MPFR_RNDD); Rmpfr_div_2ui($nuisance, $nuisance, 1, MPFR_RNDD); if(abs($rop) == $nuisance) { Rmpfr_mul_ui($rop, $rop, 2, MPFR_RNDD); Rmpfr_set_emin($emin); return (Rmpfr_signbit($rop) ? -1 : 1); } if(_lsb($rop) == 0) { Rmpfr_prec_round($rop, $big_prec - 1, MPFR_RNDZ); Rmpfr_set_emin($emin); return 0; } $ret = Rmpfr_prec_round($rop, $big_prec - 1, MPFR_RNDA); Rmpfr_set_emin($emin); return $ret; } sub _get_NV_properties { my($bits, $PREC, $max_dig, $min_pow, $normal_min, $NV_MAX, $nvtype, $emax, $emin); if ($Config{nvtype} eq 'double') { $bits = 53; $PREC = 64; $max_dig = 17; $min_pow = -1074; $normal_min = 2 ** -1022; $NV_MAX = POSIX::DBL_MAX; $emin = -1073; $emax = 1024; } elsif($Config{nvtype} eq '__float128') { $bits = 113; $PREC = 128; $max_dig = 36; $min_pow = -16494; $normal_min = 2 ** -16382; $NV_MAX = 1.18973149535723176508575932662800702e+4932; $emin = -16493; $emax = 16384; } elsif($Config{nvtype} eq 'long double') { if(_required_ldbl_mant_dig() == 53) { $bits = 53; $PREC = 64; $max_dig = 17; $min_pow = -1074; $normal_min = 2 ** -1022; $NV_MAX = POSIX::DBL_MAX; $emin = -1073; $emax = 1024; } elsif(_required_ldbl_mant_dig() == 113) { $bits = 113; $PREC = 128; $max_dig = 36; $min_pow = -16494; $normal_min = 2 ** -16382; $NV_MAX = POSIX::LDBL_MAX; $emin = -16493; $emax = 16384; } elsif(_required_ldbl_mant_dig() == 64) { $bits = 64; $PREC = 80; $max_dig = 21; $min_pow = -16445; $normal_min = 2 ** -16382; $NV_MAX = POSIX::LDBL_MAX; $emin = -16444; $emax = 16384; } elsif(_required_ldbl_mant_dig() == 2098) { $bits = 2098; $PREC = 2104; $max_dig = 33; $min_pow = -1074; $normal_min = 2 ** -1022; $NV_MAX = POSIX::LDBL_MAX; $emin = -1073; $emax = 1024; } else { my %properties = ('type' => 'unknown long double type'); return %properties; } } else { my %properties = ('type' => 'unknown nv type'); return %properties; } my %properties = ( 'bits' => $bits, 'PREC' => $PREC, 'max_dig' => $max_dig, 'min_pow' => $min_pow, 'normal_min' => $normal_min, 'NV_MAX' => $NV_MAX, 'emin' => $emin, 'emax' => $emax, ); return %properties; } sub perl_set_fallback_flag { $Math::MPFR::doubletoa_fallback++; } *Rmpfr_get_z_exp = \&Rmpfr_get_z_2exp; *prec_cast = \&Math::MPFR::Prec::prec_cast; *Rmpfr_randinit_default = \&Math::MPFR::Random::Rmpfr_randinit_default; *Rmpfr_randinit_mt = \&Math::MPFR::Random::Rmpfr_randinit_mt; *Rmpfr_randinit_lc_2exp = \&Math::MPFR::Random::Rmpfr_randinit_lc_2exp; *Rmpfr_randinit_lc_2exp_size = \&Math::MPFR::Random::Rmpfr_randinit_lc_2exp_size; 1; __END__