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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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79
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10
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use strict; |
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64
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use warnings; |
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8
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4
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101
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12
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use Carp qw(croak); |
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7
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4
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169
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use Exporter 'import'; |
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5
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118
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use List::Util (); |
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4
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82
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15
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4
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4
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1785
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use Math::Trig qw(pi); |
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51900
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4
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298
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16
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4
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33
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use Scalar::Util qw(looks_like_number); |
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4
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4954
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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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1
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1
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1
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589
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my (%params) = @_; |
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28
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1
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50
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0
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5
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if ( !exists $params{rollers} ) { |
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0
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29
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1
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2
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$params{rollers} = 3; |
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30
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} elsif ( !defined $params{rollers} or !looks_like_number $params{rollers} ) { |
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0
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0
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croak "rollers must be a number"; |
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32
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} else { |
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0
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0
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$params{rollers} = int $params{rollers}; |
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} |
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35
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1
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50
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33
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11
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if ( !exists $params{roll} ) { |
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50
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36
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0
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0
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0
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$params{roll} = sub { int rand 6 }; |
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0
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0
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37
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} elsif ( !defined $params{roll} or ref $params{roll} ne 'CODE' ) { |
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38
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0
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0
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croak "roll must be code reference"; |
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39
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} |
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40
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1
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50
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0
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3
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if ( !exists $params{summer} ) { |
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0
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41
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1
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2
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$params{summer} = \&List::Util::sum0; |
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42
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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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44
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} |
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45
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1
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4
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my @nums = map { $params{roll}->( undef, $_ ) } 0 .. $params{rollers} - 1; |
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3
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8
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46
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1
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5
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my $prev; |
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47
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return sub { |
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48
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10
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10
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34
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my ($n) = @_; |
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49
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10
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50
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33
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32
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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50
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10
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100
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13
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if ( defined $prev ) { |
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51
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9
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16
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for my $rnum ( 0 .. $params{rollers} - 1 ) { |
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52
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27
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100
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79
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if ( ( $n >> $rnum & 1 ) != ( $prev >> $rnum & 1 ) ) { |
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53
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15
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21
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$nums[$rnum] = $params{roll}->( $n, $rnum ); |
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54
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} |
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55
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} |
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56
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} |
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57
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10
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12
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$prev = $n; |
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58
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10
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25
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return $params{summer}->(@nums); |
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59
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1
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5
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}; |
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60
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} |
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61
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62
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# "Musimathics, Vol 1" p.358 based function generator based on powers of |
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63
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# (by default) 2, the supplied number, and a list of subroutines to |
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64
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# (perhaps) run. (Was called "voss", orginally.) |
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65
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sub powers { |
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66
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2
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2
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1
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590
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my (%params) = @_; |
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67
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croak "must be given list of calls" |
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68
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if !$params{calls} |
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69
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2
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50
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33
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14
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or ref $params{calls} ne 'ARRAY'; |
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70
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2
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50
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33
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13
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if ( !exists $params{summer} ) { |
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50
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71
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0
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0
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$params{summer} = \&List::Util::sum0; |
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72
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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73
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0
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0
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croak "summer must be code reference"; |
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74
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} |
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75
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2
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50
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0
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5
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if ( !exists $params{e} ) { |
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0
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76
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2
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5
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$params{e} = 2; |
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77
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} elsif ( !defined $params{e} or !looks_like_number $params{e} ) { |
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78
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0
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0
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croak "e must be a number"; |
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79
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} |
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80
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2
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3
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my @nums = (0) x @{ $params{calls} }; |
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2
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5
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81
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return sub { |
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82
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3
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3
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451
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my ($n) = @_; |
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83
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3
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50
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33
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16
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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84
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3
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4
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for my $k ( 0 .. $#{ $params{calls} } ) { |
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3
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8
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85
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3
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50
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9
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if ( $n % $params{e}**$k == 0 ) { |
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86
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3
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6
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$nums[$k] = $params{calls}->[$k]->( $n, $k ); |
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87
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} |
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88
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} |
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89
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3
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11
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return $params{summer}->(@nums); |
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90
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2
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9
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}; |
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91
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} |
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92
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93
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sub powers_stateless { |
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94
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2
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2
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1
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1146
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my (%params) = @_; |
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95
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croak "must be given list of calls" |
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96
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if !$params{calls} |
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97
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2
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50
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33
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15
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or ref $params{calls} ne 'ARRAY'; |
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98
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2
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50
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0
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6
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if ( !exists $params{summer} ) { |
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0
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99
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2
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6
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$params{summer} = \&List::Util::sum0; |
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100
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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101
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0
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0
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croak "summer must be code reference"; |
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102
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} |
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103
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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 $params{e} ) { |
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0
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104
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2
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5
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$params{e} = 2; |
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105
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} elsif ( !defined $params{e} or !looks_like_number $params{e} ) { |
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106
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0
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0
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croak "e must be a number"; |
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107
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} |
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108
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return sub { |
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109
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18
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18
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44
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my ($n) = @_; |
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110
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18
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50
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33
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51
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croak "input must be number" if !defined $n or !looks_like_number $n; |
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111
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18
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19
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my @nums; |
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112
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18
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28
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for my $k ( 0 .. $#{ $params{calls} } ) { |
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18
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31
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113
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28
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100
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58
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if ( $n % $params{e}**$k == 0 ) { |
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114
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23
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35
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push @nums, $params{calls}->[$k]->( $n, $k ); |
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115
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} |
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116
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} |
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117
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18
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95
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return $params{summer}->(@nums); |
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118
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2
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8
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}; |
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119
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} |
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120
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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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122
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sub weierstrass { |
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123
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2
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2
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1
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1993
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my (%params) = @_; |
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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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125
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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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126
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} |
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127
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2
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50
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33
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11
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if ( !defined $params{H} or !looks_like_number $params{H} ) { |
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128
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0
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0
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croak "H must be a number (0 < H <= 1)"; |
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129
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} |
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130
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2
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50
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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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131
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0
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0
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croak "N must be a number"; |
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132
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} |
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133
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2
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100
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33
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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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136
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0
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0
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croak "phase must be code reference"; |
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137
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} |
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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; |
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140
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} elsif ( !defined $params{summer} or ref $params{summer} ne 'CODE' ) { |
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141
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0
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0
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croak "summer must be code reference"; |
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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 ) = @_; |
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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 $t; |
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146
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8
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100
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22
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$x //= 0; |
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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 .. $params{N} ) { |
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149
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|
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push @nums, |
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150
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|
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$params{r}**( $k * $params{H} ) * |
|
151
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|
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sin( |
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152
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264
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|
|
1060
|
$t * pi * $params{r}**( -$k ) + $params{phase}->( $t, $x, $k, %params ) ); |
|
153
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|
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|
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} |
|
154
|
8
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44
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return $params{summer}->(@nums); |
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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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159
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__END__ |