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| 1 |  |  |  |  |  |  | ## This file generated by InlineX::C2XS (version 0.22) using Inline::C (version 0.53) | 
| 2 |  |  |  |  |  |  | package Math::NV; | 
| 3 | 8 |  |  | 8 |  | 4990 | use warnings; | 
|  | 8 |  |  |  |  | 15 |  | 
|  | 8 |  |  |  |  | 234 |  | 
| 4 | 8 |  |  | 8 |  | 40 | use strict; | 
|  | 8 |  |  |  |  | 12 |  | 
|  | 8 |  |  |  |  | 154 |  | 
| 5 | 8 |  |  | 8 |  | 210 | use 5.010; | 
|  | 8 |  |  |  |  | 24 |  | 
| 6 |  |  |  |  |  |  |  | 
| 7 |  |  |  |  |  |  | require Exporter; | 
| 8 |  |  |  |  |  |  | *import = \&Exporter::import; | 
| 9 |  |  |  |  |  |  | require DynaLoader; | 
| 10 |  |  |  |  |  |  |  | 
| 11 |  |  |  |  |  |  | $Math::NV::VERSION = '1.01'; | 
| 12 |  |  |  |  |  |  |  | 
| 13 |  |  |  |  |  |  | DynaLoader::bootstrap Math::NV $Math::NV::VERSION; | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | @Math::NV::EXPORT = (); | 
| 16 |  |  |  |  |  |  | @Math::NV::EXPORT_OK = qw( | 
| 17 |  |  |  |  |  |  | nv nv_type mant_dig ld2binary ld_str2binary is_eq | 
| 18 |  |  |  |  |  |  | bin2val Cprintf Csprintf nv_mpfr is_eq_mpfr | 
| 19 |  |  |  |  |  |  | ); | 
| 20 |  |  |  |  |  |  |  | 
| 21 |  |  |  |  |  |  | %Math::NV::EXPORT_TAGS = (all => [qw( | 
| 22 |  |  |  |  |  |  | nv nv_type mant_dig ld2binary ld_str2binary is_eq | 
| 23 |  |  |  |  |  |  | bin2val Cprintf Csprintf nv_mpfr is_eq_mpfr | 
| 24 |  |  |  |  |  |  | )]); | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | eval {require Math::MPFR;}; | 
| 27 |  |  |  |  |  |  |  | 
| 28 |  |  |  |  |  |  | if($@) {$Math::NV::no_mpfr = $@} | 
| 29 |  |  |  |  |  |  | else   {$Math::NV_no_mpfr = 0 } | 
| 30 |  |  |  |  |  |  |  | 
| 31 |  |  |  |  |  |  | $Math::NV::no_warn = 0; # set to true to disable warning about non-string argument | 
| 32 |  |  |  |  |  |  |  | 
| 33 |  |  |  |  |  |  | # %_itsa is utilised in the formulation of the diagnostic message | 
| 34 |  |  |  |  |  |  | # when it's detected that the provided arg is not a string. | 
| 35 |  |  |  |  |  |  |  | 
| 36 |  |  |  |  |  |  | my %_itsa = ( | 
| 37 |  |  |  |  |  |  | 1 => 'UV', | 
| 38 |  |  |  |  |  |  | 2 => 'IV', | 
| 39 |  |  |  |  |  |  | 3 => 'NV', | 
| 40 |  |  |  |  |  |  | 4 => 'string', | 
| 41 |  |  |  |  |  |  | 0 => 'unknown', | 
| 42 |  |  |  |  |  |  | ); | 
| 43 |  |  |  |  |  |  |  | 
| 44 | 8 |  |  | 8 | 0 | 2069 | sub dl_load_flags {0} # Prevent DynaLoader from complaining and croaking | 
| 45 |  |  |  |  |  |  |  | 
| 46 |  |  |  |  |  |  | sub ld2binary { | 
| 47 | 1 |  |  | 1 | 0 | 41 | my @ret = _ld2binary($_[0]); | 
| 48 | 1 |  |  |  |  | 3 | my $prec = pop(@ret); | 
| 49 | 1 |  |  |  |  | 2 | my $exp = pop(@ret); | 
| 50 | 1 |  |  |  |  | 4 | my $mantissa = join '', @ret; | 
| 51 | 1 |  |  |  |  | 5 | return ($mantissa, $exp, $prec); | 
| 52 |  |  |  |  |  |  | } | 
| 53 |  |  |  |  |  |  |  | 
| 54 |  |  |  |  |  |  | sub ld_str2binary { | 
| 55 | 1 |  |  | 1 | 0 | 43 | my @ret = _ld_str2binary($_[0]); | 
| 56 | 1 |  |  |  |  | 3 | my $prec = pop(@ret); | 
| 57 | 1 |  |  |  |  | 2 | my $exp = pop(@ret); | 
| 58 | 1 |  |  |  |  | 4 | my $mantissa = join '', @ret; | 
| 59 | 1 |  |  |  |  | 5 | return ($mantissa, $exp, $prec); | 
| 60 |  |  |  |  |  |  | } | 
| 61 |  |  |  |  |  |  |  | 
| 62 |  |  |  |  |  |  | sub bin2val { | 
| 63 | 1 |  |  | 1 | 0 | 20 | my($mantissa, $exp, $prec) = (shift, shift, shift); | 
| 64 | 1 | 50 |  |  |  | 6 | my $sign = $mantissa =~ /^\-/ ? '-' : ''; | 
| 65 |  |  |  |  |  |  | # Remove everything upto and including the radix point | 
| 66 |  |  |  |  |  |  | # as it now contains no useful information. | 
| 67 | 1 |  |  |  |  | 5 | $mantissa =~ s/.+\.//; | 
| 68 |  |  |  |  |  |  | # For our purposes the values $prec and $exp need | 
| 69 |  |  |  |  |  |  | # to be reduced by 1. | 
| 70 | 1 |  |  |  |  | 3 | $exp--; | 
| 71 |  |  |  |  |  |  |  | 
| 72 |  |  |  |  |  |  | # Perl bugs make the following (commented out) code unreliable, | 
| 73 |  |  |  |  |  |  | # so we now hand the calculations over to C. | 
| 74 |  |  |  |  |  |  | # (And there's no need to decrement $prec.) | 
| 75 |  |  |  |  |  |  | #$prec--; | 
| 76 |  |  |  |  |  |  | #for(0..$prec) { | 
| 77 |  |  |  |  |  |  | #  if(substr($mantissa, $_, 1)) {$val += 2**$exp} | 
| 78 |  |  |  |  |  |  | #  $exp--; | 
| 79 |  |  |  |  |  |  | #} | 
| 80 | 1 |  |  |  |  | 7 | my @mantissa = split //, $mantissa; | 
| 81 | 1 |  |  |  |  | 19 | my $val = _bin2val($prec, $exp, \@mantissa); | 
| 82 | 1 | 50 |  |  |  | 8 | $sign eq '-' ? return -$val : return $val; | 
| 83 |  |  |  |  |  |  | } | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | sub is_eq { | 
| 86 | 1 | 50 |  | 1 | 0 | 24 | unless($Math::NV::no_warn) { | 
| 87 | 0 |  |  |  |  | 0 | my $itsa = $_[0]; | 
| 88 | 0 |  |  |  |  | 0 | $itsa = _itsa($itsa); # make sure that $_[0] IOK flag is not set | 
| 89 | 0 | 0 |  |  |  | 0 | warn "Argument given to is_eq() is $_itsa{$itsa}, not a string - probably not what you want" | 
| 90 |  |  |  |  |  |  | if $itsa != 4; | 
| 91 |  |  |  |  |  |  | } | 
| 92 | 1 |  |  |  |  | 3 | my $nv = $_[0]; | 
| 93 | 1 |  |  |  |  | 45 | my $check = nv($_[0]); | 
| 94 | 1 | 50 |  |  |  | 6 | return 1 if $nv == $check; | 
| 95 | 0 | 0 |  |  |  |  | if(mant_dig() == 64) { | 
| 96 |  |  |  |  |  |  | # pack/unpack like to deliver irrelevant (ie ignored) leading bytes | 
| 97 |  |  |  |  |  |  | # if NV is 80-bit long double | 
| 98 | 0 |  |  |  |  |  | my $first = scalar(reverse(unpack("h*", pack("F<", $nv)))); | 
| 99 | 0 |  |  |  |  |  | $first = substr($first, length($first) - 20, 20); | 
| 100 | 0 |  |  |  |  |  | my $second = scalar(reverse(unpack("h*", pack("F<", $check)))); | 
| 101 | 0 |  |  |  |  |  | $second = substr($second, length($second) - 20, 20); | 
| 102 | 0 |  |  |  |  |  | warn "In is_eq:\n$first vs $second\n\n"; | 
| 103 |  |  |  |  |  |  | } | 
| 104 |  |  |  |  |  |  | else { | 
| 105 | 0 |  |  |  |  |  | warn "In is_eq:\n", | 
| 106 |  |  |  |  |  |  | scalar(reverse(unpack("h*", pack("F<", $nv)))), " vs ", | 
| 107 |  |  |  |  |  |  | scalar(reverse(unpack("h*", pack("F<", $check)))), "\n\n"; | 
| 108 |  |  |  |  |  |  | } | 
| 109 |  |  |  |  |  |  |  | 
| 110 | 0 |  |  |  |  |  | return 0; | 
| 111 |  |  |  |  |  |  | } | 
| 112 |  |  |  |  |  |  |  | 
| 113 |  |  |  |  |  |  | sub is_eq_mpfr { | 
| 114 |  |  |  |  |  |  |  | 
| 115 | 0 | 0 |  | 0 | 0 |  | if($Math::NV::no_mpfr) {die "In is_eq_mpfr(): $Math::NV::no_mpfr"} | 
|  | 0 |  |  |  |  |  |  | 
| 116 |  |  |  |  |  |  |  | 
| 117 | 0 | 0 |  |  |  |  | unless($Math::NV::no_warn) { | 
| 118 | 0 |  |  |  |  |  | my $itsa = $_[0]; | 
| 119 | 0 |  |  |  |  |  | $itsa = _itsa($itsa); # make sure that $_[0] IOK flag is not set | 
| 120 | 0 | 0 |  |  |  |  | warn "Argument given to is_eq() is $_itsa{$itsa}, not a string - probably not what you want" | 
| 121 |  |  |  |  |  |  | if $itsa != 4; | 
| 122 |  |  |  |  |  |  | } | 
| 123 |  |  |  |  |  |  |  | 
| 124 | 0 |  |  |  |  |  | my $ret = 0; | 
| 125 | 0 |  |  |  |  |  | my $nv = $_[0]; | 
| 126 | 0 |  |  |  |  |  | my $bits = mant_dig(); | 
| 127 | 0 | 0 |  |  |  |  | $bits = 2098 if $bits == 106; # double double | 
| 128 |  |  |  |  |  |  |  | 
| 129 | 0 |  |  |  |  |  | my $fr = Math::MPFR::Rmpfr_init2($bits); | 
| 130 | 0 |  |  |  |  |  | Math::MPFR::Rmpfr_set_str($fr, $nv, 10, 0); | 
| 131 |  |  |  |  |  |  |  | 
| 132 | 0 | 0 |  |  |  |  | if($nv == Math::MPFR::Rmpfr_get_NV($fr, 0)) {$ret = 1} | 
|  | 0 |  |  |  |  |  |  | 
| 133 |  |  |  |  |  |  | else { | 
| 134 | 0 | 0 |  |  |  |  | if($bits == 64) { | 
| 135 |  |  |  |  |  |  | # pack/unpack like to deliver irrelevant (ie ignored) leading bytes | 
| 136 |  |  |  |  |  |  | # if NV is 80-bit long double | 
| 137 | 0 |  |  |  |  |  | my $first = scalar(reverse(unpack("h*", pack("F<", $nv)))); | 
| 138 | 0 |  |  |  |  |  | $first = substr($first, length($first) - 20, 20); | 
| 139 | 0 |  |  |  |  |  | my $second = scalar(reverse(unpack("h*", pack("F<", Math::MPFR::Rmpfr_get_NV($fr, 0))))); | 
| 140 | 0 |  |  |  |  |  | $second = substr($second, length($second) - 20, 20); | 
| 141 | 0 |  |  |  |  |  | warn "In is_eq_mpfr:\n$first vs $second\n\n"; | 
| 142 |  |  |  |  |  |  | } | 
| 143 |  |  |  |  |  |  | else { | 
| 144 | 0 |  |  |  |  |  | warn "In is_eq_mpfr:\n", | 
| 145 |  |  |  |  |  |  | scalar(reverse(unpack("h*", pack("F<", $nv)))), " vs ", | 
| 146 |  |  |  |  |  |  | scalar(reverse(unpack("h*", pack("F<", Math::MPFR::Rmpfr_get_NV($fr, 0))))), "\n\n"; | 
| 147 |  |  |  |  |  |  | } | 
| 148 |  |  |  |  |  |  | } | 
| 149 |  |  |  |  |  |  |  | 
| 150 | 0 |  |  |  |  |  | return $ret; | 
| 151 |  |  |  |  |  |  |  | 
| 152 |  |  |  |  |  |  | } | 
| 153 |  |  |  |  |  |  |  | 
| 154 |  |  |  |  |  |  | sub nv_mpfr { | 
| 155 |  |  |  |  |  |  |  | 
| 156 | 0 | 0 |  | 0 | 0 |  | if($Math::NV::no_mpfr) {die "In nv_mpfr(): $Math::NV::no_mpfr"} | 
|  | 0 |  |  |  |  |  |  | 
| 157 |  |  |  |  |  |  |  | 
| 158 | 0 | 0 |  |  |  |  | unless($Math::NV::no_warn) { | 
| 159 | 0 |  |  |  |  |  | my $itsa = $_[0]; | 
| 160 | 0 |  |  |  |  |  | $itsa = _itsa($itsa); # make sure that $_[0] IOK flag is not set | 
| 161 | 0 | 0 |  |  |  |  | warn "Argument given to is_eq() is $_itsa{$itsa}, not a string - probably not what you want" | 
| 162 |  |  |  |  |  |  | if $itsa != 4; | 
| 163 |  |  |  |  |  |  | } | 
| 164 |  |  |  |  |  |  |  | 
| 165 | 0 |  |  |  |  |  | my $bits; | 
| 166 |  |  |  |  |  |  |  | 
| 167 | 0 | 0 |  |  |  |  | if(!defined($_[1])) {$bits = mant_dig()} | 
|  | 0 |  |  |  |  |  |  | 
| 168 | 0 |  |  |  |  |  | else {$bits = $_[1]} | 
| 169 |  |  |  |  |  |  |  | 
| 170 | 0 | 0 |  |  |  |  | return _double_double($_[0]) if $bits == 106; # doubledouble | 
| 171 |  |  |  |  |  |  |  | 
| 172 | 0 |  |  |  |  |  | my $val = Math::MPFR::Rmpfr_init2($bits); | 
| 173 | 0 |  |  |  |  |  | Math::MPFR::Rmpfr_set_str($val, $_[0], 10, 0); | 
| 174 |  |  |  |  |  |  |  | 
| 175 | 0 | 0 |  |  |  |  | if($bits == mant_dig() ) { # 53, 64, 106 or 113 bits | 
| 176 | 0 |  |  |  |  |  | my $nv = Math::MPFR::Rmpfr_get_NV($val, 0); | 
| 177 | 0 |  |  |  |  |  | my $ret = scalar(reverse(unpack("h*", pack("F<", $nv)))); | 
| 178 |  |  |  |  |  |  |  | 
| 179 |  |  |  |  |  |  | # pack/unpack like to deliver irrelevant (ie ignored) leading bytes | 
| 180 |  |  |  |  |  |  | # if NV is 80-bit long double | 
| 181 | 0 | 0 |  |  |  |  | if($bits == 64) { | 
| 182 | 0 |  |  |  |  |  | return substr($ret, length($ret) - 20, 20); | 
| 183 |  |  |  |  |  |  | } | 
| 184 | 0 |  |  |  |  |  | return $ret; | 
| 185 |  |  |  |  |  |  | } | 
| 186 |  |  |  |  |  |  |  | 
| 187 | 0 | 0 |  |  |  |  | if($bits == 53) { | 
| 188 | 0 |  |  |  |  |  | my $nv = Math::MPFR::Rmpfr_get_d($val, 0); | 
| 189 | 0 |  |  |  |  |  | return scalar(reverse(unpack("h*", pack("d<", $nv)))); | 
| 190 |  |  |  |  |  |  | } | 
| 191 |  |  |  |  |  |  |  | 
| 192 | 0 | 0 |  |  |  |  | if($bits == 64) { | 
| 193 | 0 | 0 |  |  |  |  | die "No _ld_bytes with this version ($Math::MPFR::VERSION) - need at least 3.27" | 
| 194 |  |  |  |  |  |  | unless $Math::MPFR::VERSION > '3.26'; | 
| 195 | 0 |  |  |  |  |  | my @bytes = Math::MPFR::_ld_bytes($_[0], 64); | 
| 196 | 0 |  |  |  |  |  | return join('', @bytes); | 
| 197 |  |  |  |  |  |  | } | 
| 198 |  |  |  |  |  |  |  | 
| 199 | 0 | 0 |  |  |  |  | if($bits == 113) { | 
| 200 | 0 | 0 |  |  |  |  | die "No _f128_bytes with this version ($Math::MPFR::VERSION) - need at least 3.26" | 
| 201 |  |  |  |  |  |  | unless $Math::MPFR::VERSION > 3.25; | 
| 202 | 0 |  |  |  |  |  | my @bytes = Math::MPFR::_f128_bytes($_[0], 113); | 
| 203 | 0 |  |  |  |  |  | return join('', @bytes); | 
| 204 |  |  |  |  |  |  | } | 
| 205 |  |  |  |  |  |  |  | 
| 206 | 0 |  |  |  |  |  | die "Unrecognized value for bits ($bits)"; | 
| 207 |  |  |  |  |  |  | } | 
| 208 |  |  |  |  |  |  |  | 
| 209 |  |  |  |  |  |  |  | 
| 210 |  |  |  |  |  |  | sub _double_double { | 
| 211 | 0 |  |  | 0 |  |  | my $val = Math::MPFR::Rmpfr_init2(2098); | 
| 212 | 0 |  |  |  |  |  | Math::MPFR::Rmpfr_set_str($val, shift, 10, 0); | 
| 213 | 0 |  |  |  |  |  | my @val = _dd_obj($val); | 
| 214 | 0 |  |  |  |  |  | return [scalar(reverse(unpack("h*", pack("d<", $val[0])))), | 
| 215 |  |  |  |  |  |  | scalar(reverse(unpack("h*", pack("d<", $val[1]))))]; | 
| 216 |  |  |  |  |  |  | } | 
| 217 |  |  |  |  |  |  |  | 
| 218 |  |  |  |  |  |  | sub _dd_obj { | 
| 219 | 0 |  |  | 0 |  |  | my $obj = shift; | 
| 220 | 0 |  |  |  |  |  | my $msd = Math::MPFR::Rmpfr_get_d($obj, 0); | 
| 221 | 0 |  |  |  |  |  | $obj -= $msd; | 
| 222 | 0 |  |  |  |  |  | return ($msd, Math::MPFR::Rmpfr_get_d($obj, 0)); | 
| 223 |  |  |  |  |  |  | } | 
| 224 |  |  |  |  |  |  |  | 
| 225 |  |  |  |  |  |  |  | 
| 226 |  |  |  |  |  |  | 1; | 
| 227 |  |  |  |  |  |  |  | 
| 228 |  |  |  |  |  |  | __END__ |