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# -*- Perl -*- |
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# |
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# Functions for fractal noise generation functions. |
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# |
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# Run perldoc(1) on this file for additional documentation. |
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package Music::Voss; |
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411475
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use 5.010000; |
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use strict; |
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use warnings; |
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use Carp qw(croak); |
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use Exporter 'import'; |
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use List::Util (); |
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use Math::Trig qw(pi); |
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use Scalar::Util qw(looks_like_number); |
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our $VERSION = '0.08'; |
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our @EXPORT_OK = qw(bitchange powers powers_stateless weierstrass); |
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# This method derived from the "White and brown music, fractal curves |
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# and one-over-f fluctuations" article. Should also be possible with |
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# physical dice and a binary chart to show how the bits change between |
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# tries and thus which dice need be re-rolled for a particular try. |
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sub bitchange { |
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my (%params) = @_; |
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if ( !exists $params{rollers} ) { |
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$params{rollers} = 3; |
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} elsif ( !defined $params{rollers} or !looks_like_number $params{rollers} ) { |
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croak "rollers must be a number"; |
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} else { |
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$params{rollers} = int $params{rollers}; |
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} |
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1
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if ( !exists $params{roll} ) { |
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$params{roll} = sub { int rand 6 }; |
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} elsif ( !defined $params{roll} or ref $params{roll} ne 'CODE' ) { |
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croak "roll must be code reference"; |
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} |
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if ( !exists $params{summer} ) { |
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$params{summer} = \&List::Util::sum0; |
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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croak "summer must be code reference"; |
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} |
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my @nums = map { $params{roll}->( undef, $_ ) } 0 .. $params{rollers} - 1; |
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1
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my $prev; |
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return sub { |
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my ($n) = @_; |
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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if ( defined $prev ) { |
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for my $rnum ( 0 .. $params{rollers} - 1 ) { |
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100
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if ( ( $n >> $rnum & 1 ) != ( $prev >> $rnum & 1 ) ) { |
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$nums[$rnum] = $params{roll}->( $n, $rnum ); |
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} |
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} |
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} |
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$prev = $n; |
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return $params{summer}->(@nums); |
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}; |
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} |
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# "Musimathics, Vol 1" p.358 based function generator based on powers of |
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# (by default) 2, the supplied number, and a list of subroutines to |
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# (perhaps) run. (Was called "voss", orginally.) |
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sub powers { |
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my (%params) = @_; |
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croak "must be given list of calls" |
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if !$params{calls} |
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or ref $params{calls} ne 'ARRAY'; |
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if ( !exists $params{summer} ) { |
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$params{summer} = \&List::Util::sum0; |
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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croak "summer must be code reference"; |
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} |
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if ( !exists $params{e} ) { |
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$params{e} = 2; |
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} elsif ( !defined $params{e} or !looks_like_number $params{e} ) { |
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croak "e must be a number"; |
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} |
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2
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my @nums = (0) x @{ $params{calls} }; |
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5
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return sub { |
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3
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my ($n) = @_; |
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3
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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for my $k ( 0 .. $#{ $params{calls} } ) { |
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85
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if ( $n % $params{e}**$k == 0 ) { |
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$nums[$k] = $params{calls}->[$k]->( $n, $k ); |
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} |
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} |
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3
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return $params{summer}->(@nums); |
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2
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}; |
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} |
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93
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sub powers_stateless { |
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2
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1146
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my (%params) = @_; |
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croak "must be given list of calls" |
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if !$params{calls} |
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2
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50
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33
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or ref $params{calls} ne 'ARRAY'; |
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0
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6
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if ( !exists $params{summer} ) { |
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0
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99
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2
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$params{summer} = \&List::Util::sum0; |
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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0
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0
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croak "summer must be code reference"; |
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} |
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2
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50
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0
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4
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if ( !exists $params{e} ) { |
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0
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104
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2
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$params{e} = 2; |
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} elsif ( !defined $params{e} or !looks_like_number $params{e} ) { |
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0
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0
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croak "e must be a number"; |
107
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} |
108
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return sub { |
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18
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18
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44
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my ($n) = @_; |
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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19
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my @nums; |
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for my $k ( 0 .. $#{ $params{calls} } ) { |
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113
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28
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100
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if ( $n % $params{e}**$k == 0 ) { |
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35
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push @nums, $params{calls}->[$k]->( $n, $k ); |
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} |
116
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} |
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18
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95
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return $params{summer}->(@nums); |
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2
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8
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}; |
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} |
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121
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# also from "Musimathics, Vol 1" around the same place as the above |
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sub weierstrass { |
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2
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1
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1993
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my (%params) = @_; |
124
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2
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50
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33
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16
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if ( !defined $params{r} or !looks_like_number $params{r} ) { |
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0
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0
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croak "r must be a number (0 < r <= 1)"; |
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} |
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2
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11
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if ( !defined $params{H} or !looks_like_number $params{H} ) { |
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0
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croak "H must be a number (0 < H <= 1)"; |
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} |
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2
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33
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8
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if ( !defined $params{N} or !looks_like_number $params{N} ) { |
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0
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croak "N must be a number"; |
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} |
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2
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100
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11
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if ( !exists $params{phase} ) { |
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50
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134
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1
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231
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5
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$params{phase} = sub { 0 }; |
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231
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698
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135
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} elsif ( !defined $params{phase} or ref $params{phase} ne 'CODE' ) { |
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0
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0
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croak "phase must be code reference"; |
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} |
138
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2
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50
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0
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4
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if ( !exists $params{summer} ) { |
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0
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139
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2
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4
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$params{summer} = \&List::Util::sum0; |
140
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
141
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0
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0
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croak "summer must be code reference"; |
142
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} |
143
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return sub { |
144
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8
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8
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27
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my ( $t, $x ) = @_; |
145
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8
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50
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33
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34
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croak "input must be number" if !defined $t or !looks_like_number $t; |
146
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8
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100
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22
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$x //= 0; |
147
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8
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8
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my @nums; |
148
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8
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14
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for my $k ( 0 .. $params{N} ) { |
149
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push @nums, |
150
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$params{r}**( $k * $params{H} ) * |
151
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sin( |
152
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264
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1060
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$t * pi * $params{r}**( -$k ) + $params{phase}->( $t, $x, $k, %params ) ); |
153
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} |
154
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8
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44
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return $params{summer}->(@nums); |
155
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2
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15
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}; |
156
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} |
157
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158
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1; |
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__END__ |