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package Machine::Epsilon; |
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use strict; |
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use warnings; |
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use Exporter; |
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our @ISA = qw(Exporter); |
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our @EXPORT = qw(machine_epsilon); ## no critic (ProhibitAutomaticExportation) |
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our $VERSION = '1.0.2'; |
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=head1 NAME |
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Machine::Epsilon - The maximum relative error while rounding a floating point number |
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=head1 SYNOPSIS |
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use Machine::Epsilon; # imports machine_epsilon() automatically |
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my $epsilon = machine_epsilon(); |
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=cut |
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=head1 FUNCTIONS |
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=head2 machine_epsilon |
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Returns the rounding error for the machine. |
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=cut |
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my $epsilon; |
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sub machine_epsilon { |
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return $epsilon if $epsilon; |
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# Machine accuracy for 32-bit floating point number |
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my $ma_32bit_23mantissa = 1.0 / (2**23); |
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# Machine accuracy for 64-bit floating point number |
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my $ma_64bit_52mantissa = 1.0 / (2**52); |
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# Machine accuracy for 128-bit floating point number (e.g. IBM AIX) |
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my $ma_128bit_105mantissa = 1.0 / (2**112); |
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# Always start with a power of 2 to avoid roundoff errors!! |
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my $e = 1.0; |
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while (1) { |
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if (1.0 + $e / 2 == 1.0) { last; } |
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$e = $e / 2.0; |
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# Accuracy already better than a 128-bit machine!! |
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if ($e < $ma_128bit_105mantissa) { |
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warn "Machine accuracy seems too good to be true!! " |
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. "Do we have such a powerful machine? Assuming that " |
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. "something isn't right, and returning machine accuracy " |
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. "for 64 bit double."; |
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$e = $ma_64bit_52mantissa; |
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last; |
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} |
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} |
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# If accuracy is very bad, we return the minimum accuracy for a 32-bit double |
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if ($e > $ma_32bit_23mantissa) { |
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warn "Machine accuracy ($e greater than $ma_32bit_23mantissa) " |
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. "seems worse than the primitive 32-bit double representation. " |
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. "Setting to minimum accuracy of $ma_32bit_23mantissa."; |
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return $ma_32bit_23mantissa; |
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} |
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$epsilon = $e; |
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return $e; |
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} |
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=head1 AUTHOR |
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binary.com, C<< >> |
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=head1 BUGS |
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Please report any bugs or feature requests to C, or through |
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the web interface at L. I will be notified, and then you'll |
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automatically be notified of progress on your bug as I make changes. |
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=head1 SUPPORT |
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You can find documentation for this module with the perldoc command. |
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perldoc Machine::Epsilon |
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You can also look for information at: |
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=over 4 |
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=item * RT: CPAN's request tracker (report bugs here) |
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L |
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103
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=item * AnnoCPAN: Annotated CPAN documentation |
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L |
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=item * CPAN Ratings |
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L |
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111
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=item * Search CPAN |
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L |
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=back |
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=head1 REFERENCES |
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http://en.wikipedia.org/wiki/Machine_epsilon |
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=head1 LICENSE AND COPYRIGHT |
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Copyright 2014 binary.com. |
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This program is free software; you can redistribute it and/or modify it |
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under the terms of either: the GNU General Public License as published |
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by the Free Software Foundation; or the Artistic License. |
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See L for more information. |
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=cut |
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1; # End of Machine::Epsilon |
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