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| 1 |  |  |  |  |  |  | package Math::GrahamFunction::SqFacts; | 
| 2 |  |  |  |  |  |  | $Math::GrahamFunction::SqFacts::VERSION = '0.02004'; | 
| 3 | 1 |  |  | 1 |  | 7 | use strict; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 31 |  | 
| 4 | 1 |  |  | 1 |  | 39 | use warnings; | 
|  | 1 |  |  |  |  | 5 |  | 
|  | 1 |  |  |  |  | 39 |  | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  |  | 
| 7 | 1 |  |  | 1 |  | 6 | use parent qw(Math::GrahamFunction::Object); | 
|  | 1 |  |  |  |  | 3 |  | 
|  | 1 |  |  |  |  | 5 |  | 
| 8 |  |  |  |  |  |  |  | 
| 9 | 1 |  |  | 1 |  | 55 | use List::Util (); | 
|  | 1 |  |  |  |  | 12 |  | 
|  | 1 |  |  |  |  | 751 |  | 
| 10 |  |  |  |  |  |  | __PACKAGE__->mk_accessors(qw(n factors)); | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | sub _initialize | 
| 13 |  |  |  |  |  |  | { | 
| 14 | 1771 |  |  | 1771 |  | 2743 | my $self = shift; | 
| 15 | 1771 |  |  |  |  | 2562 | my $args = shift; | 
| 16 |  |  |  |  |  |  |  | 
| 17 | 1771 | 100 |  |  |  | 3577 | if ( $args->{n} ) | 
|  |  | 50 |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | { | 
| 19 | 844 |  |  |  |  | 2243 | $self->n( $args->{n} ); | 
| 20 |  |  |  |  |  |  |  | 
| 21 | 844 |  |  |  |  | 8324 | $self->_calc_sq_factors(); | 
| 22 |  |  |  |  |  |  | } | 
| 23 |  |  |  |  |  |  | elsif ( $args->{factors} ) | 
| 24 |  |  |  |  |  |  | { | 
| 25 | 927 |  |  |  |  | 1931 | $self->factors( $args->{factors} ); | 
| 26 |  |  |  |  |  |  | } | 
| 27 |  |  |  |  |  |  | else | 
| 28 |  |  |  |  |  |  | { | 
| 29 | 0 |  |  |  |  | 0 | die "factors or n must be supplied."; | 
| 30 |  |  |  |  |  |  | } | 
| 31 |  |  |  |  |  |  |  | 
| 32 | 1771 |  |  |  |  | 10758 | return 0; | 
| 33 |  |  |  |  |  |  | } | 
| 34 |  |  |  |  |  |  |  | 
| 35 |  |  |  |  |  |  |  | 
| 36 |  |  |  |  |  |  | sub clone | 
| 37 |  |  |  |  |  |  | { | 
| 38 | 182 |  |  | 182 | 1 | 920 | my $self = shift; | 
| 39 | 182 |  |  |  |  | 292 | return __PACKAGE__->new( { 'factors' => [ @{ $self->factors() } ] } ); | 
|  | 182 |  |  |  |  | 319 |  | 
| 40 |  |  |  |  |  |  | } | 
| 41 |  |  |  |  |  |  |  | 
| 42 |  |  |  |  |  |  | sub _calc_sq_factors | 
| 43 |  |  |  |  |  |  | { | 
| 44 | 844 |  |  | 844 |  | 1223 | my $self = shift; | 
| 45 |  |  |  |  |  |  |  | 
| 46 | 844 |  |  |  |  | 1650 | $self->factors( $self->_get_sq_facts( $self->n() ) ); | 
| 47 |  |  |  |  |  |  |  | 
| 48 | 844 |  |  |  |  | 7812 | return 0; | 
| 49 |  |  |  |  |  |  | } | 
| 50 |  |  |  |  |  |  |  | 
| 51 |  |  |  |  |  |  | my %gsf_cache = ( 1 => [] ); | 
| 52 |  |  |  |  |  |  |  | 
| 53 |  |  |  |  |  |  | sub _get_sq_facts | 
| 54 |  |  |  |  |  |  | { | 
| 55 | 973 |  |  | 973 |  | 7661 | my $self = shift; | 
| 56 | 973 |  |  |  |  | 1389 | my $n    = shift; | 
| 57 |  |  |  |  |  |  |  | 
| 58 | 973 | 100 |  |  |  | 2611 | if ( exists( $gsf_cache{$n} ) ) | 
| 59 |  |  |  |  |  |  | { | 
| 60 | 844 |  |  |  |  | 2433 | return $gsf_cache{$n}; | 
| 61 |  |  |  |  |  |  | } | 
| 62 |  |  |  |  |  |  |  | 
| 63 | 129 |  | 100 |  |  | 444 | my $start_from = shift || 2; | 
| 64 |  |  |  |  |  |  |  | 
| 65 | 129 |  |  |  |  | 259 | for ( my $p = $start_from ; ; ++$p ) | 
| 66 |  |  |  |  |  |  | { | 
| 67 | 1720 | 100 |  |  |  | 3108 | if ( $n % $p == 0 ) | 
| 68 |  |  |  |  |  |  | { | 
| 69 |  |  |  |  |  |  | # This function is recursive to make better use of the Memoization | 
| 70 |  |  |  |  |  |  | # feature. | 
| 71 | 129 |  |  |  |  | 392 | my $division_factors = $self->_get_sq_facts( ( $n / $p ), $p ); | 
| 72 | 129 | 100 | 100 |  |  | 507 | if ( @$division_factors && ( $division_factors->[0] == $p ) ) | 
| 73 |  |  |  |  |  |  | { | 
| 74 |  |  |  |  |  |  | return ( $gsf_cache{$n} = | 
| 75 | 29 |  |  |  |  | 99 | [ @{$division_factors}[ 1 .. $#$division_factors ] ] ); | 
|  | 29 |  |  |  |  | 186 |  | 
| 76 |  |  |  |  |  |  | } | 
| 77 |  |  |  |  |  |  | else | 
| 78 |  |  |  |  |  |  | { | 
| 79 | 100 |  |  |  |  | 582 | return ( $gsf_cache{$n} = [ $p, @$division_factors ] ); | 
| 80 |  |  |  |  |  |  | } | 
| 81 |  |  |  |  |  |  | } | 
| 82 |  |  |  |  |  |  | } | 
| 83 |  |  |  |  |  |  | } | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | # Removed because it is too slow - we now use our own custom memoization ( | 
| 86 |  |  |  |  |  |  | # or perhaps it is just called caching) | 
| 87 |  |  |  |  |  |  | # memoize('get_squaring_factors', 'NORMALIZER' => sub { return $_[0]; }); | 
| 88 |  |  |  |  |  |  |  | 
| 89 |  |  |  |  |  |  | # This function multiplies the squaring factors of $n and $m to receive | 
| 90 |  |  |  |  |  |  | # the squaring factors of ($n*$m) | 
| 91 |  |  |  |  |  |  |  | 
| 92 |  |  |  |  |  |  | # OOP-Wise, it should be a multi-method, but since we don't inherit this | 
| 93 |  |  |  |  |  |  | # object it's all-right. | 
| 94 |  |  |  |  |  |  |  | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | sub mult_by | 
| 97 |  |  |  |  |  |  | { | 
| 98 | 2042 |  |  | 2042 | 1 | 30306 | my $n_ref = shift; | 
| 99 | 2042 |  |  |  |  | 2849 | my $m_ref = shift; | 
| 100 |  |  |  |  |  |  |  | 
| 101 | 2042 |  |  |  |  | 2862 | my @n = @{ $n_ref->factors() }; | 
|  | 2042 |  |  |  |  | 3478 |  | 
| 102 | 2042 |  |  |  |  | 18436 | my @m = eval { @{ $m_ref->factors() }; }; | 
|  | 2042 |  |  |  |  | 2875 |  | 
|  | 2042 |  |  |  |  | 3666 |  | 
| 103 | 2042 | 50 |  |  |  | 19687 | if ($@) | 
| 104 |  |  |  |  |  |  | { | 
| 105 | 0 |  |  |  |  | 0 | print "Hello\n"; | 
| 106 |  |  |  |  |  |  | } | 
| 107 |  |  |  |  |  |  |  | 
| 108 | 2042 |  |  |  |  | 3028 | my @ret = (); | 
| 109 |  |  |  |  |  |  |  | 
| 110 | 2042 |  | 100 |  |  | 6338 | while ( scalar(@n) && scalar(@m) ) | 
| 111 |  |  |  |  |  |  | { | 
| 112 | 4255 | 100 |  |  |  | 8336 | if ( $n[0] == $m[0] ) | 
|  |  | 100 |  |  |  |  |  | 
| 113 |  |  |  |  |  |  | { | 
| 114 | 1836 |  |  |  |  | 2412 | shift(@n); | 
| 115 | 1836 |  |  |  |  | 4313 | shift(@m); | 
| 116 |  |  |  |  |  |  | } | 
| 117 |  |  |  |  |  |  | elsif ( $n[0] < $m[0] ) | 
| 118 |  |  |  |  |  |  | { | 
| 119 | 1315 |  |  |  |  | 3924 | push @ret, shift(@n); | 
| 120 |  |  |  |  |  |  | } | 
| 121 |  |  |  |  |  |  | else | 
| 122 |  |  |  |  |  |  | { | 
| 123 | 1104 |  |  |  |  | 3494 | push @ret, shift(@m); | 
| 124 |  |  |  |  |  |  | } | 
| 125 |  |  |  |  |  |  | } | 
| 126 | 2042 |  |  |  |  | 3570 | push @ret, @n, @m; | 
| 127 |  |  |  |  |  |  |  | 
| 128 | 2042 |  |  |  |  | 5202 | $n_ref->factors( \@ret ); | 
| 129 |  |  |  |  |  |  |  | 
| 130 |  |  |  |  |  |  | # 0 for success | 
| 131 | 2042 |  |  |  |  | 21612 | return 0; | 
| 132 |  |  |  |  |  |  | } | 
| 133 |  |  |  |  |  |  |  | 
| 134 |  |  |  |  |  |  |  | 
| 135 |  |  |  |  |  |  | sub mult | 
| 136 |  |  |  |  |  |  | { | 
| 137 | 90 |  |  | 90 | 1 | 1462 | my $n = shift; | 
| 138 | 90 |  |  |  |  | 137 | my $m = shift; | 
| 139 |  |  |  |  |  |  |  | 
| 140 | 90 |  |  |  |  | 164 | my $result = $n->clone(); | 
| 141 | 90 |  |  |  |  | 279 | $result->mult_by($m); | 
| 142 | 90 |  |  |  |  | 188 | return $result; | 
| 143 |  |  |  |  |  |  | } | 
| 144 |  |  |  |  |  |  |  | 
| 145 |  |  |  |  |  |  |  | 
| 146 |  |  |  |  |  |  | sub is_square | 
| 147 |  |  |  |  |  |  | { | 
| 148 | 1364 |  |  | 1364 | 1 | 12093 | my $self = shift; | 
| 149 | 1364 |  |  |  |  | 1905 | return ( scalar( @{ $self->factors() } ) == 0 ); | 
|  | 1364 |  |  |  |  | 2657 |  | 
| 150 |  |  |  |  |  |  | } | 
| 151 |  |  |  |  |  |  |  | 
| 152 |  |  |  |  |  |  |  | 
| 153 |  |  |  |  |  |  | sub exists | 
| 154 |  |  |  |  |  |  | { | 
| 155 | 1949 |  |  | 1949 | 1 | 16985 | my ( $self, $factor ) = @_; | 
| 156 |  |  |  |  |  |  |  | 
| 157 | 1949 |  |  | 2940 |  | 5343 | return defined( List::Util::first { $_ == $factor } @{ $self->factors() } ); | 
|  | 2940 |  |  |  |  | 24940 |  | 
|  | 1949 |  |  |  |  | 3842 |  | 
| 158 |  |  |  |  |  |  | } | 
| 159 |  |  |  |  |  |  |  | 
| 160 |  |  |  |  |  |  |  | 
| 161 |  |  |  |  |  |  | sub last | 
| 162 |  |  |  |  |  |  | { | 
| 163 | 90 |  |  | 90 | 1 | 800 | my $self = shift; | 
| 164 |  |  |  |  |  |  |  | 
| 165 | 90 |  |  |  |  | 202 | return $self->factors()->[-1]; | 
| 166 |  |  |  |  |  |  | } | 
| 167 |  |  |  |  |  |  |  | 
| 168 | 1 |  |  | 1 |  | 9 | use vars qw($a $b); | 
|  | 1 |  |  |  |  | 10 |  | 
|  | 1 |  |  |  |  | 170 |  | 
| 169 |  |  |  |  |  |  |  | 
| 170 |  |  |  |  |  |  |  | 
| 171 |  |  |  |  |  |  | sub product | 
| 172 |  |  |  |  |  |  | { | 
| 173 | 90 |  |  | 90 | 1 | 159 | my $self = shift; | 
| 174 |  |  |  |  |  |  |  | 
| 175 | 90 |  |  | 43 |  | 266 | return ( List::Util::reduce { $a * $b } @{ $self->factors() } ); | 
|  | 43 |  |  |  |  | 476 |  | 
|  | 90 |  |  |  |  | 213 |  | 
| 176 |  |  |  |  |  |  | } | 
| 177 |  |  |  |  |  |  |  | 
| 178 |  |  |  |  |  |  |  | 
| 179 |  |  |  |  |  |  | sub first | 
| 180 |  |  |  |  |  |  | { | 
| 181 | 600 |  |  | 600 | 1 | 5295 | my $self = shift; | 
| 182 |  |  |  |  |  |  |  | 
| 183 | 600 |  |  |  |  | 1152 | return $self->factors()->[0]; | 
| 184 |  |  |  |  |  |  | } | 
| 185 |  |  |  |  |  |  |  | 
| 186 |  |  |  |  |  |  |  | 
| 187 |  |  |  |  |  |  | 1; | 
| 188 |  |  |  |  |  |  |  | 
| 189 |  |  |  |  |  |  | __END__ |