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package Math::Round; |
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$Math::Round::VERSION = '0.08'; |
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68955
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use 5.006; |
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1
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use strict; |
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1
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18
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5
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use warnings; |
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1
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22
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6
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7
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1
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1
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548
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use POSIX (); |
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6428
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32
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1
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use vars qw($VERSION @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS); |
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2
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1
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99
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10
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1
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1
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436
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use parent 'Exporter'; |
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261
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our @EXPORT = qw/ round nearest /; |
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our @EXPORT_OK = qw/ round nearest round_even round_odd round_rand |
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nearest_ceil nearest_floor nearest_rand |
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nlowmult nhimult /; |
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our %EXPORT_TAGS = ( all => [ @EXPORT_OK ] ); |
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#--- Default value for "one-half". This is the lowest value that |
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#--- gives acceptable results for test #6 in test.pl. See the pod |
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#--- for more information. |
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our $half = 0.50000000000008; |
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sub round { |
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1
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87
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my $x; |
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my @res = map { |
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100
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if ($_ >= 0) { POSIX::floor($_ + $Math::Round::half); } |
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3
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2
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else { POSIX::ceil($_ - $Math::Round::half); } |
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} @_; |
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4
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100
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return (wantarray) ? @res : $res[0]; |
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} |
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35
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sub round_even { |
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my @res = map { |
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3
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my ($sign, $in, $fr) = _sepnum($_); |
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100
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if ($fr == 0.5) { |
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2
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100
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$sign * (($in % 2 == 0) ? $in : $in + 1); |
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} else { |
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2
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$sign * POSIX::floor(abs($_) + $Math::Round::half); |
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} |
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} @_; |
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3
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100
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return (wantarray) ? @res : $res[0]; |
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} |
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sub round_odd { |
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my @res = map { |
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4
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1
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my ($sign, $in, $fr) = _sepnum($_); |
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5
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100
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if ($fr == 0.5) { |
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2
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100
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$sign * (($in % 2 == 1) ? $in : $in + 1); |
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} else { |
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3
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$sign * POSIX::floor(abs($_) + $Math::Round::half); |
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} |
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} @_; |
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4
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100
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return (wantarray) ? @res : $res[0]; |
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} |
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59
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sub round_rand { |
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my @res = map { |
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3
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3
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1
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320
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my ($sign, $in, $fr) = _sepnum($_); |
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8
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62
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4
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if ($fr == 0.5) { |
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0
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0
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0
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$sign * ((rand(4096) < 2048) ? $in : $in + 1); |
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} else { |
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4
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16
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$sign * POSIX::floor(abs($_) + $Math::Round::half); |
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} |
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} @_; |
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3
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100
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11
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return (wantarray) ? @res : $res[0]; |
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} |
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71
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#--- Separate a number into sign, integer, and fractional parts. |
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#--- Return as a list. |
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sub _sepnum { |
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my $x = shift; |
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100
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my $sign = ($x >= 0) ? 1 : -1; |
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$x = abs($x); |
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my $i = int($x); |
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return ($sign, $i, $x - $i); |
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} |
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81
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#------ "Nearest" routines (round to a multiple of any number) |
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83
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sub nearest { |
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5
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5
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1
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270
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my $targ = abs(shift); |
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my @res = map { |
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5
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100
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if ($_ >= 0) { $targ * int(($_ + $Math::Round::half * $targ) / $targ); } |
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12
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4
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16
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87
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2
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else { $targ * POSIX::ceil(($_ - $Math::Round::half * $targ) / $targ); } |
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} @_; |
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90
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5
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100
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return (wantarray) ? @res : $res[0]; |
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} |
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93
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# In the next two functions, the code for positive and negative numbers |
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# turns out to be the same. For negative numbers, the technique is not |
95
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# exactly obvious; instead of floor(x+0.5), we are in effect taking |
96
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# ceiling(x-0.5). |
97
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98
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sub nearest_ceil { |
99
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4
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4
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1
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295
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my $targ = abs(shift); |
100
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4
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7
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my @res = map { $targ * POSIX::floor(($_ + $Math::Round::half * $targ) / $targ) } @_; |
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5
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20
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101
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102
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4
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100
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14
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return wantarray ? @res : $res[0]; |
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} |
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105
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sub nearest_floor { |
106
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4
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4
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1
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298
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my $targ = abs(shift); |
107
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4
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8
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my @res = map { $targ * POSIX::ceil(($_ - $Math::Round::half * $targ) / $targ) } @_; |
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18
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108
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109
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4
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100
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13
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return wantarray ? @res : $res[0]; |
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} |
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112
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sub nearest_rand { |
113
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3
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3
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1
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273
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my $targ = abs(shift); |
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115
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my @res = map { |
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my ($sign, $in, $fr) = _sepnear($_, $targ); |
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4
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8
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117
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4
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50
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19
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if ($fr == 0.5 * $targ) { |
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0
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0
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0
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$sign * $targ * ((rand(4096) < 2048) ? $in : $in + 1); |
119
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} else { |
120
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4
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14
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$sign * $targ * int((abs($_) + $Math::Round::half * $targ) / $targ); |
121
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} |
122
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} @_; |
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3
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100
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8
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return (wantarray) ? @res : $res[0]; |
124
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} |
125
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126
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#--- Next lower multiple |
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sub nlowmult { |
128
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3
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3
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1
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300
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my $targ = abs(shift); |
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3
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my @res = map { $targ * POSIX::floor($_ / $targ) } @_; |
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14
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130
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131
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3
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100
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12
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return wantarray ? @res : $res[0]; |
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} |
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134
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#--- Next higher multiple |
135
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sub nhimult { |
136
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3
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3
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1
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262
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my $targ = abs(shift); |
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3
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6
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my @res = map { $targ * POSIX::ceil($_ / $targ) } @_; |
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4
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13
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138
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139
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3
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100
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12
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return wantarray ? @res : $res[0]; |
140
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} |
141
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142
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#--- Separate a number into sign, "integer", and "fractional" parts |
143
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#--- for the 'nearest' calculation. Return as a list. |
144
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sub _sepnear { |
145
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4
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4
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8
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my ($x, $targ) = @_; |
146
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4
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100
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10
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my $sign = ($x >= 0) ? 1 : -1; |
147
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4
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5
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$x = abs($x); |
148
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4
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6
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my $i = int($x / $targ); |
149
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4
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9
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return ($sign, $i, $x - $i*$targ); |
150
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} |
151
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152
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1; |
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154
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__END__ |