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## This file generated by InlineX::C2XS (version 0.22) using Inline::C (version 0.5002) |
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package Math::LongDouble; |
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13590
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use warnings; |
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764
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use strict; |
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use POSIX; |
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146921
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require Exporter; |
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*import = \&Exporter::import; |
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require DynaLoader; |
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use overload |
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'+' => \&_overload_add, |
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'*' => \&_overload_mul, |
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'-' => \&_overload_sub, |
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'/' => \&_overload_div, |
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'**' => \&_overload_pow, |
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'+=' => \&_overload_add_eq, |
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'*=' => \&_overload_mul_eq, |
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'-=' => \&_overload_sub_eq, |
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'/=' => \&_overload_div_eq, |
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'**=' => \&_overload_pow_eq, |
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'==' => \&_overload_equiv, |
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'""' => \&_overload_string, |
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'!=' => \&_overload_not_equiv, |
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'bool' => \&_overload_true, |
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'!' => \&_overload_not, |
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'=' => \&_overload_copy, |
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'<' => \&_overload_lt, |
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'<=' => \&_overload_lte, |
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'>' => \&_overload_gt, |
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'>=' => \&_overload_gte, |
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'<=>' => \&_overload_spaceship, |
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'abs' => \&_overload_abs, |
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'int' => \&_overload_int, |
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'sqrt' => \&_overload_sqrt, |
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'log' => \&_overload_log, |
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'exp' => \&_overload_exp, |
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'sin' => \&_overload_sin, |
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'cos' => \&_overload_cos, |
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'atan2' => \&_overload_atan2, |
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'++' => \&_overload_inc, |
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'--' => \&_overload_dec, |
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126549
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; |
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23242
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1981
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use subs qw( |
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LD_DBL_DIG LD_LDBL_DIG LD_DBL_MANT_DIG LD_LDBL_MANT_DIG |
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48
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LD_DBL_MIN_EXP LD_DBL_MAX_EXP LD_DBL_MIN_10_EXP LD_DBL_MAX_10_EXP |
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LD_DBL_MAX LD_DBL_MIN LD_DBL_EPSILON LD_DBL_DENORM_MIN |
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51
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LD_LDBL_MIN_EXP LD_LDBL_MAX_EXP LD_LDBL_MIN_10_EXP LD_LDBL_MAX_10_EXP |
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LD_LDBL_MAX LD_LDBL_MIN LD_LDBL_EPSILON LD_LDBL_DENORM_MIN |
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54
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M_El M_LOG2El M_LOG10El M_LN2l M_LN10l M_PIl M_PI_2l M_PI_4l |
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M_1_PIl M_2_PIl M_2_SQRTPIl M_SQRT2l M_SQRT1_2l |
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22455
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); |
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687
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58
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our $VERSION = '0.14'; |
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#$VERSION = eval $VERSION; |
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61
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DynaLoader::bootstrap Math::LongDouble $Math::LongDouble::VERSION; |
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63
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@Math::LongDouble::EXPORT = (); |
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@Math::LongDouble::EXPORT_OK = qw( |
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InfLD NaNLD ZeroLD UnityLD is_NaNLD is_InfLD is_ZeroLD STRtoLD LDtoSTR NVtoLD UVtoLD IVtoLD |
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LDtoNV LDtoLD cmp_NV |
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ld_set_prec ld_get_prec LDtoSTRP |
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LD_DBL_DIG LD_LDBL_DIG LD_DBL_MANT_DIG LD_LDBL_MANT_DIG |
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70
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LD_DBL_MIN_EXP LD_DBL_MAX_EXP LD_DBL_MIN_10_EXP LD_DBL_MAX_10_EXP |
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LD_DBL_MAX LD_DBL_MIN LD_DBL_EPSILON LD_DBL_DENORM_MIN |
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73
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LD_LDBL_MIN_EXP LD_LDBL_MAX_EXP LD_LDBL_MIN_10_EXP LD_LDBL_MAX_10_EXP |
74
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LD_LDBL_MAX LD_LDBL_MIN LD_LDBL_EPSILON LD_LDBL_DENORM_MIN |
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76
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M_El M_LOG2El M_LOG10El M_LN2l M_LN10l M_PIl M_PI_2l M_PI_4l |
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M_1_PIl M_2_PIl M_2_SQRTPIl M_SQRT2l M_SQRT1_2l |
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79
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ld_max_orig_len ld_min_inter_prec ld_min_inter_base ld_max_orig_base ld_bytes |
80
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81
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llrint_LD llround_LD lrint_LD lround_LD frexp_LD nan_LD remquo_LD |
82
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acos_LD acosh_LD asin_LD asinh_LD atan_LD atanh_LD atan2_LD cbrt_LD ceil_LD |
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copysign_LD cosh_LD cos_LD erf_LD erfc_LD exp_LD expm1_LD finite_LD fabs_LD |
84
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fdim_LD floor_LD fma_LD fmax_LD fmin_LD fmod_LD hypot_LD isinf_LD |
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ilogb_LD isnan_LD ldexp_LD lgamma_LD log_LD log10_LD |
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log2_LD log1p_LD modf_LD nearbyint_LD nextafter_LD |
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pow_LD remainder_LD rint_LD round_LD scalbln_LD scalbn_LD signbit_LD |
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sincos_LD sinh_LD sin_LD sqrt_LD tan_LD tanh_LD tgamma_LD trunc_LD |
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); |
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91
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%Math::LongDouble::EXPORT_TAGS = (all => [qw( |
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InfLD NaNLD ZeroLD UnityLD is_NaNLD is_InfLD is_ZeroLD STRtoLD LDtoSTR NVtoLD UVtoLD IVtoLD |
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LDtoNV LDtoLD cmp_NV |
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ld_set_prec ld_get_prec LDtoSTRP |
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LD_DBL_DIG LD_LDBL_DIG LD_DBL_MANT_DIG LD_LDBL_MANT_DIG |
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97
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LD_DBL_MIN_EXP LD_DBL_MAX_EXP LD_DBL_MIN_10_EXP LD_DBL_MAX_10_EXP |
98
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LD_DBL_MAX LD_DBL_MIN LD_DBL_EPSILON LD_DBL_DENORM_MIN |
99
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100
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LD_LDBL_MIN_EXP LD_LDBL_MAX_EXP LD_LDBL_MIN_10_EXP LD_LDBL_MAX_10_EXP |
101
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LD_LDBL_MAX LD_LDBL_MIN LD_LDBL_EPSILON LD_LDBL_DENORM_MIN |
102
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103
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M_El M_LOG2El M_LOG10El M_LN2l M_LN10l M_PIl M_PI_2l M_PI_4l |
104
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M_1_PIl M_2_PIl M_2_SQRTPIl M_SQRT2l M_SQRT1_2l |
105
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106
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ld_max_orig_len ld_min_inter_prec ld_min_inter_base ld_max_orig_base ld_bytes |
107
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108
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llrint_LD llround_LD lrint_LD lround_LD frexp_LD nan_LD remquo_LD |
109
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acos_LD acosh_LD asin_LD asinh_LD atan_LD atanh_LD atan2_LD cbrt_LD ceil_LD |
110
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copysign_LD cosh_LD cos_LD erf_LD erfc_LD exp_LD expm1_LD finite_LD fabs_LD |
111
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fdim_LD floor_LD fma_LD fmax_LD fmin_LD fmod_LD hypot_LD isinf_LD |
112
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ilogb_LD isnan_LD ldexp_LD lgamma_LD log_LD log10_LD |
113
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log2_LD log1p_LD modf_LD nearbyint_LD nextafter_LD |
114
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pow_LD remainder_LD rint_LD round_LD scalbln_LD scalbn_LD signbit_LD |
115
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sincos_LD sinh_LD sin_LD sqrt_LD tan_LD tanh_LD tgamma_LD trunc_LD |
116
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)]); |
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118
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20
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20
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36437
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sub dl_load_flags {0} # Prevent DynaLoader from complaining and croaking |
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120
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sub _overload_string { |
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122
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0
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0
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0
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if(is_ZeroLD($_[0])) { |
123
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0
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0
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return '-0' if is_ZeroLD($_[0]) < 0; |
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0
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return '0'; |
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} |
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127
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0
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0
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if(is_NaNLD($_[0])) {return 'NaN'} |
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128
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0
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my $inf = is_InfLD($_[0]); |
129
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0
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0
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return '-Inf' if $inf < 0; |
130
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0
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0
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return 'Inf' if $inf > 0; |
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132
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0
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my @p = split /e/i, LDtoSTR($_[0]); |
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0
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0
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while(substr($p[0], -1, 1) eq '0' && substr($p[0], -2, 1) ne '.') { |
134
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0
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chop $p[0]; |
135
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} |
136
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0
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return $p[0] . 'e' . $p[1]; |
137
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} |
138
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139
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sub new { |
140
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141
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# This function caters for 2 possibilities: |
142
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# 1) that 'new' has been called OOP style - in which |
143
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# case there will be a maximum of 2 args |
144
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# 2) that 'new' has been called as a function - in |
145
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# which case there will be a maximum of 1 arg. |
146
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# If there are no args, then we just want to return a |
147
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# Math::LongDouble object that's a NaN. |
148
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149
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0
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0
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if(!@_) {return NaNLD(1)} |
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150
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151
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0
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if(@_ > 2) {die "More than 2 arguments supplied to new()"} |
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152
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153
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# If 'new' has been called OOP style, the first arg is the string |
154
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# "Math::LongDouble" which we don't need - so let's remove it. However, |
155
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# if the first arg is a Math::LongDouble object (which is a possibility), |
156
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# then we'll get a fatal error when we check it for equivalence to |
157
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# the string "Math::LongDouble". So we first need to check that it's |
158
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# not an object - which we'll do by using the ref() function: |
159
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0
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if(!ref($_[0]) && $_[0] eq "Math::LongDouble") { |
160
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0
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shift; |
161
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0
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if(!@_) {return NaNLD()} |
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162
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} |
163
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164
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0
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0
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if(@_ > 1) {die "Too many arguments supplied to new() - expected no more than 1"} |
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165
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166
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0
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my $arg = shift; |
167
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0
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my $type = _itsa($arg); |
168
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169
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0
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0
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return UVtoLD ($arg) if $type == 1; # UV |
170
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0
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return IVtoLD ($arg) if $type == 2; # IV |
171
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0
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return NVtoLD ($arg) if $type == 3; # NV |
172
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0
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return STRtoLD($arg) if $type == 4; # PV |
173
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0
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0
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return LDtoLD ($arg) if $type == 96; # Math::LongDouble object |
174
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175
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0
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die "Bad argument given to new()"; |
176
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} |
177
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178
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0
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0
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sub LD_DBL_DIG {return _DBL_DIG()} |
179
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0
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0
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sub LD_DBL_MANT_DIG {return _DBL_MANT_DIG()} |
180
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0
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0
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sub LD_DBL_MAX {return _DBL_MAX()} |
181
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0
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0
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sub LD_DBL_MIN {return _DBL_MIN()} |
182
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0
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0
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sub LD_DBL_EPSILON {return _DBL_EPSILON()} |
183
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0
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0
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sub LD_DBL_DENORM_MIN {return _DBL_DENORM_MIN()} |
184
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0
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0
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sub LD_DBL_MIN_EXP {return _DBL_MIN_EXP()} |
185
|
0
|
|
|
0
|
|
|
sub LD_DBL_MAX_EXP {return _DBL_MAX_EXP()} |
186
|
0
|
|
|
0
|
|
|
sub LD_DBL_MIN_10_EXP {return _DBL_MIN_10_EXP()} |
187
|
0
|
|
|
0
|
|
|
sub LD_DBL_MAX_10_EXP {return _DBL_MAX_10_EXP()} |
188
|
|
|
|
|
|
|
|
189
|
0
|
|
|
0
|
|
|
sub LD_LDBL_DIG {return _LDBL_DIG()} |
190
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MANT_DIG {return _LDBL_MANT_DIG()} |
191
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MAX {return _LDBL_MAX()} |
192
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MIN {return _LDBL_MIN()} |
193
|
0
|
|
|
0
|
|
|
sub LD_LDBL_EPSILON {return _LDBL_EPSILON()} |
194
|
0
|
|
|
0
|
|
|
sub LD_LDBL_DENORM_MIN {return _LDBL_DENORM_MIN()} |
195
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MIN_EXP {return _LDBL_MIN_EXP()} |
196
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MAX_EXP {return _LDBL_MAX_EXP()} |
197
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MIN_10_EXP {return _LDBL_MIN_10_EXP()} |
198
|
0
|
|
|
0
|
|
|
sub LD_LDBL_MAX_10_EXP {return _LDBL_MAX_10_EXP()} |
199
|
|
|
|
|
|
|
|
200
|
0
|
|
|
0
|
|
|
sub M_El {return _M_El()} |
201
|
0
|
|
|
0
|
|
|
sub M_LOG2El {return _M_LOG2El()} |
202
|
0
|
|
|
0
|
|
|
sub M_LOG10El {return _M_LOG10El()} |
203
|
0
|
|
|
0
|
|
|
sub M_LN2l {return _M_LN2l()} |
204
|
0
|
|
|
0
|
|
|
sub M_LN10l {return _M_LN10l()} |
205
|
0
|
|
|
0
|
|
|
sub M_PIl {return _M_PIl()} |
206
|
0
|
|
|
0
|
|
|
sub M_PI_2l {return _M_PI_2l()} |
207
|
0
|
|
|
0
|
|
|
sub M_PI_4l {return _M_PI_4l()} |
208
|
0
|
|
|
0
|
|
|
sub M_1_PIl {return _M_1_PIl()} |
209
|
0
|
|
|
0
|
|
|
sub M_2_PIl {return _M_2_PIl()} |
210
|
0
|
|
|
0
|
|
|
sub M_2_SQRTPIl {return _M_2_SQRTPIl()} |
211
|
0
|
|
|
0
|
|
|
sub M_SQRT2l {return _M_SQRT2l()} |
212
|
0
|
|
|
0
|
|
|
sub M_SQRT1_2l {return _M_SQRT1_2l()} |
213
|
|
|
|
|
|
|
|
214
|
|
|
|
|
|
|
|
215
|
|
|
|
|
|
|
sub ld_min_inter_prec { |
216
|
0
|
0
|
|
0
|
|
|
die "Wrong number of args to minimum_intermediate_prec()" if @_ != 3; |
217
|
0
|
|
|
|
|
|
my $orig_base = shift; |
218
|
0
|
|
|
|
|
|
my $orig_length = shift; |
219
|
0
|
|
|
|
|
|
my $to_base = shift; |
220
|
0
|
|
|
|
|
|
return ceil(1 + ($orig_length * log($orig_base) / log($to_base))); |
221
|
|
|
|
|
|
|
} |
222
|
|
|
|
|
|
|
|
223
|
|
|
|
|
|
|
sub ld_min_inter_base { |
224
|
0
|
0
|
|
0
|
|
|
die "Wrong number of args to minimum_intermediate_base()" if @_ != 3; |
225
|
0
|
|
|
|
|
|
my $orig_base = shift; |
226
|
0
|
|
|
|
|
|
my $orig_length = shift; |
227
|
0
|
|
|
|
|
|
my $to_prec = shift; |
228
|
0
|
|
|
|
|
|
return ceil(exp($orig_length * log($orig_base) / ($to_prec - 1))); |
229
|
|
|
|
|
|
|
} |
230
|
|
|
|
|
|
|
|
231
|
|
|
|
|
|
|
sub ld_max_orig_len { |
232
|
0
|
0
|
|
0
|
|
|
die "Wrong number of args to maximum_orig_length()" if @_ != 3; |
233
|
0
|
|
|
|
|
|
my $orig_base = shift; |
234
|
0
|
|
|
|
|
|
my $to_base = shift; |
235
|
0
|
|
|
|
|
|
my $to_prec = shift; |
236
|
0
|
|
|
|
|
|
return floor(1 / (log($orig_base) / log($to_base) / ($to_prec - 1))); |
237
|
|
|
|
|
|
|
} |
238
|
|
|
|
|
|
|
|
239
|
|
|
|
|
|
|
sub ld_max_orig_base { |
240
|
0
|
0
|
|
0
|
|
|
die "Wrong number of args to maximum_orig_base()" if @_ != 3; |
241
|
0
|
|
|
|
|
|
my $orig_length = shift; |
242
|
0
|
|
|
|
|
|
my $to_base = shift; |
243
|
0
|
|
|
|
|
|
my $to_prec = shift; |
244
|
0
|
|
|
|
|
|
return floor(exp(1 / ($orig_length / log($to_base) / ($to_prec -1)))); |
245
|
|
|
|
|
|
|
} |
246
|
|
|
|
|
|
|
|
247
|
|
|
|
|
|
|
sub ld_bytes { |
248
|
0
|
|
|
0
|
|
|
my @ret = _ld_bytes($_[0]); |
249
|
0
|
|
|
|
|
|
return join '', @ret; |
250
|
|
|
|
|
|
|
} |
251
|
|
|
|
|
|
|
|
252
|
|
|
|
|
|
|
1; |
253
|
|
|
|
|
|
|
|
254
|
|
|
|
|
|
|
__END__ |