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package HOP::Stream; |
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use warnings; |
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use strict; |
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use base 'Exporter'; |
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our @EXPORT_OK = qw( |
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cutsort |
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drop |
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filter |
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head |
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insert |
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is_node |
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iterator_to_stream |
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list_to_stream |
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append |
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merge |
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node |
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promise |
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show |
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tail |
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transform |
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upto |
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upfrom |
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); |
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our %EXPORT_TAGS = ( 'all' => \@EXPORT_OK ); |
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=head1 NAME |
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HOP::Stream - "Higher Order Perl" streams |
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=head1 VERSION |
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Version 0.03 |
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=cut |
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our $VERSION = '0.03'; |
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=head1 SYNOPSIS |
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=head1 DESCRIPTION |
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This package is based on the Stream.pm code from the book "Higher Order Perl", |
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by Mark Jason Dominus. |
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A stream is conceptually similar to a linked list. However, we may have an |
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infinite stream. As infinite amounts of data are frequently taxing to the |
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memory of most systems, the tail of the list may be a I. A promise, |
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in this context, is merely a promise that the code will compute the rest of |
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the list if necessary. Thus, the rest of the list does not exist until |
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actually needed. |
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The documentation here is not complete. See "Higher Order Perl" by Mark |
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Dominus for a full explanation. Further, this is B code. Patches |
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and suggestions welcome. |
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59
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=head1 EXPORT |
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The following functions may be exported upon demand. ":all" may be specified |
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if you wish everything exported. |
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=over 4 |
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=item * cutsort |
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=item * drop |
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=item * filter |
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=item * head |
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=item * insert |
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=item * iterator_to_stream |
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=item * list_to_stream |
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=item * append |
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=item * merge |
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=item * node |
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=item * promise |
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=item * show |
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=item * tail |
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=item * transform |
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=item * upto |
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=item * upfrom |
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=back |
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=head1 FUNCTIONS |
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=head2 node |
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my $node = node( $head, $tail ); |
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106
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Returns a node for a stream. |
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The tail of the node may be a I to compute the actual tail when |
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needed. |
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111
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=cut |
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113
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sub node { |
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1
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112115
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my ( $h, $t ) = @_; |
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624
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bless [ $h, $t ], __PACKAGE__; |
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} |
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118
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############################################################################## |
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120
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=head2 head |
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122
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my $head = head( $node ); |
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This function returns the head of a stream. |
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=cut |
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128
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sub head { |
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1
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my ($s) = @_; |
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return undef unless is_node($s); |
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$s->[0]; |
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} |
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134
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############################################################################## |
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=head2 tail |
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my $tail = tail( $stream ); |
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140
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Returns the I of a stream. |
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=cut |
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144
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sub tail { |
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1
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my ($s) = @_; |
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return undef unless is_node($s); |
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if ( is_promise( $s->[1] ) ) { |
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218
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$s->[1] = $s->[1]->(); |
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} |
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174
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704
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$s->[1]; |
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} |
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154
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############################################################################## |
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156
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=head2 is_node |
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158
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if ( is_node($tail) ) { |
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... |
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} |
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162
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Returns true if the tail of a node is a node. Generally this function is |
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used internally. |
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165
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=cut |
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167
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sub is_node { |
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# Note that this is *not* bad code. Nodes aren't really objects. They're |
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# merely being blessed to ensure that we can disambiguate them from array |
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# references. |
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422
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422
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1
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1546
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UNIVERSAL::isa( $_[0], __PACKAGE__ ); |
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} |
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174
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############################################################################## |
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176
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=head2 is_promise |
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178
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if ( is_promise($tail) ) { |
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... |
180
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} |
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182
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Returns true if the tail of a node is a promise. Generally this function is |
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used internally. |
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185
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=cut |
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187
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sub is_promise { |
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174
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174
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1
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535
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UNIVERSAL::isa( $_[0], 'CODE' ); |
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} |
190
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191
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############################################################################## |
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193
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=head2 promise |
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195
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my $promise = promise { ... }; |
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197
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A utility function with a code prototype (C<< sub promise(&); >>) allowing one |
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to specify a coderef with curly braces and omit the C keyword. |
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200
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=cut |
201
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202
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1
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1206
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sub promise (&) { $_[0] } |
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204
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############################################################################## |
205
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206
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=head2 show |
207
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208
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show( $stream, [ $number_of_nodes ] ); |
209
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210
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This is a debugging function that will return a text representation of |
211
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C<$number_of_nodes> of the stream C<$stream>. |
212
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213
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Omitting the second argument will print all elements of the stream. This is |
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not recommended for infinite streams (duh). |
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216
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The elements of the stream will be separated by the current value of C<$">. |
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218
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=cut |
219
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220
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sub show { |
221
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2
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1
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1356
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my ( $s, $n ) = @_; |
222
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5
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my $show = ''; |
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66
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19
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while ( $s && ( !defined $n || $n-- > 0 ) ) { |
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224
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10
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16
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$show .= head($s) . $"; |
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10
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13
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$s = tail($s); |
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} |
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2
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8
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return $show; |
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} |
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230
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############################################################################## |
231
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232
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=head2 drop |
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234
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my $head = drop( $stream ); |
235
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236
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This is the C function for streams. It returns the head of the stream |
237
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and and modifies the stream in-place to be the tail of the stream. |
238
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239
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=cut |
240
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241
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sub drop { |
242
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110
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110
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1
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1236
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my $h = head( $_[0] ); |
243
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110
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193
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$_[0] = tail( $_[0] ); |
244
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110
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342
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return $h; |
245
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} |
246
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247
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############################################################################## |
248
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249
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=head2 transform |
250
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251
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my $new_stream = transform { $_[0] * 2 } $old_stream; |
252
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253
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This is the C |
254
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255
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=cut |
256
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257
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sub transform (&$) { |
258
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33
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33
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1
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58
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my $f = shift; |
259
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33
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34
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my $s = shift; |
260
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33
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50
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60
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return unless $s; |
261
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33
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27
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84
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node( $f->( head($s) ), promise { transform ( $f, tail($s) ) } ); |
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27
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44
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262
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} |
263
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264
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############################################################################## |
265
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266
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=head2 filter |
267
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268
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my $new_stream = filter { $_[0] % 2 } $old_stream; |
269
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270
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This is the C function for streams. It returns a new stream. |
271
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272
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=cut |
273
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274
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sub filter (&$) { |
275
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6
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6
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1
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10
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my $f = shift; |
276
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6
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7
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my $s = shift; |
277
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6
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66
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24
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until ( !$s || $f->( head($s) ) ) { |
278
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6
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42
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drop($s); |
279
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} |
280
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6
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50
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42
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return if !$s; |
281
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6
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5
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11
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node( head($s), promise { filter ( $f, tail($s) ) } ); |
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5
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15
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282
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} |
283
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284
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############################################################################## |
285
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286
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=head2 merge |
287
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288
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my $merged_stream = merge( $stream1, $stream2 ); |
289
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290
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This function takes two streams assumed to be in sorted order and merges them |
291
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into a new stream, also in sorted order. |
292
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293
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=cut |
294
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295
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sub merge { |
296
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28
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28
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1
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35
|
my ( $S, $T ) = @_; |
297
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28
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50
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57
|
return $T unless $S; |
298
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28
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50
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43
|
return $S unless $T; |
299
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28
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39
|
my ( $s, $t ) = ( head($S), head($T) ); |
300
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28
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100
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70
|
if ( $s > $t ) { |
|
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100
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301
|
11
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10
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43
|
node( $t, promise { merge( $S, tail($T) ) } ); |
|
10
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18
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302
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} |
303
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elsif ( $s < $t ) { |
304
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13
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12
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43
|
node( $s, promise { merge( tail($S), $T ) } ); |
|
12
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20
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305
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} |
306
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else { |
307
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4
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3
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13
|
node( $s, promise { merge( tail($S), tail($T) ) } ); |
|
3
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6
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308
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} |
309
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} |
310
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311
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|
############################################################################## |
312
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313
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|
=head2 append |
314
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315
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|
|
my $merged_stream = append( $stream1, $stream2 ); |
316
|
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317
|
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|
|
This function takes a list of streams and attaches them together head-to-tail |
318
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|
into a new stream. |
319
|
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320
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|
=cut |
321
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322
|
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|
|
sub append { |
323
|
13
|
|
|
13
|
1
|
27
|
my (@streams) = @_; |
324
|
|
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325
|
13
|
|
|
|
|
27
|
while (@streams) { |
326
|
15
|
|
|
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|
24
|
my $h = drop( $streams[0] ); |
327
|
15
|
100
|
|
12
|
|
58
|
return node( $h, promise { append(@streams) } ) if defined($h); |
|
12
|
|
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|
23
|
|
328
|
3
|
|
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|
9
|
shift @streams; |
329
|
|
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|
|
} |
330
|
1
|
|
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|
|
2
|
return undef; |
331
|
|
|
|
|
|
|
} |
332
|
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|
333
|
|
|
|
|
|
|
############################################################################## |
334
|
|
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|
|
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|
|
335
|
|
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|
|
=head2 list_to_stream |
336
|
|
|
|
|
|
|
|
337
|
|
|
|
|
|
|
my $stream = list_to_stream(@list); |
338
|
|
|
|
|
|
|
|
339
|
|
|
|
|
|
|
Converts a list into a stream. The final item of C should be a promise |
340
|
|
|
|
|
|
|
or another stream. Thus, to generate the numbers one through ten, one could |
341
|
|
|
|
|
|
|
do this: |
342
|
|
|
|
|
|
|
|
343
|
|
|
|
|
|
|
my $stream = list_to_stream( 1 .. 9, node(10, undef) ); |
344
|
|
|
|
|
|
|
# or |
345
|
|
|
|
|
|
|
my $stream = list_to_stream( 1 .. 9, node(10) ); |
346
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
=cut |
348
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
sub list_to_stream { |
350
|
3
|
|
|
3
|
1
|
1524
|
my $node = pop; |
351
|
3
|
100
|
|
|
|
7
|
$node = node($node) unless is_node($node); |
352
|
|
|
|
|
|
|
|
353
|
3
|
|
|
|
|
9
|
while (@_) { |
354
|
19
|
|
|
|
|
21
|
my $item = pop; |
355
|
19
|
|
|
|
|
25
|
$node = node( $item, $node ); |
356
|
|
|
|
|
|
|
} |
357
|
3
|
|
|
|
|
11
|
$node; |
358
|
|
|
|
|
|
|
} |
359
|
|
|
|
|
|
|
|
360
|
|
|
|
|
|
|
############################################################################## |
361
|
|
|
|
|
|
|
|
362
|
|
|
|
|
|
|
=head2 iterator_to_stream |
363
|
|
|
|
|
|
|
|
364
|
|
|
|
|
|
|
my $stream = iterator_to_stream($iterator); |
365
|
|
|
|
|
|
|
|
366
|
|
|
|
|
|
|
Converts an iterator into a stream. An iterator is merely a code reference |
367
|
|
|
|
|
|
|
which, when called, keeps returning elements until there are no more elements, |
368
|
|
|
|
|
|
|
at which point it returns "undef". |
369
|
|
|
|
|
|
|
|
370
|
|
|
|
|
|
|
=cut |
371
|
|
|
|
|
|
|
|
372
|
|
|
|
|
|
|
sub iterator_to_stream { |
373
|
5
|
|
|
5
|
1
|
745
|
my $it = shift; |
374
|
5
|
|
|
|
|
38
|
my $v = $it->(); |
375
|
5
|
100
|
|
|
|
22
|
return unless defined $v; |
376
|
4
|
|
|
4
|
|
15
|
node( $v, sub { iterator_to_stream($it) } ); |
|
4
|
|
|
|
|
8
|
|
377
|
|
|
|
|
|
|
} |
378
|
|
|
|
|
|
|
|
379
|
|
|
|
|
|
|
############################################################################## |
380
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
=head2 upto |
382
|
|
|
|
|
|
|
|
383
|
|
|
|
|
|
|
my $stream = upto($from_num, $to_num); |
384
|
|
|
|
|
|
|
|
385
|
|
|
|
|
|
|
Given two numbers, C<$from_num> and C<$to_num>, returns an iterator which will |
386
|
|
|
|
|
|
|
return all of the numbers between C<$from_num> and C<$to_num>, inclusive. |
387
|
|
|
|
|
|
|
|
388
|
|
|
|
|
|
|
=cut |
389
|
|
|
|
|
|
|
|
390
|
|
|
|
|
|
|
sub upto { |
391
|
21
|
|
|
21
|
1
|
766
|
my ( $m, $n ) = @_; |
392
|
21
|
100
|
|
|
|
47
|
return if $m > $n; |
393
|
16
|
|
|
16
|
|
65
|
node( $m, promise { upto( $m + 1, $n ) } ); |
|
16
|
|
|
|
|
31
|
|
394
|
|
|
|
|
|
|
} |
395
|
|
|
|
|
|
|
|
396
|
|
|
|
|
|
|
############################################################################## |
397
|
|
|
|
|
|
|
|
398
|
|
|
|
|
|
|
=head2 upfrom |
399
|
|
|
|
|
|
|
|
400
|
|
|
|
|
|
|
my $stream = upfrom($num); |
401
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
Similar to C, this function returns a stream which will generate an |
403
|
|
|
|
|
|
|
infinite list of numbers starting from C<$num>. |
404
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
=cut |
406
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
sub upfrom { |
408
|
46
|
|
|
46
|
1
|
2445
|
my ($m) = @_; |
409
|
46
|
|
|
41
|
|
160
|
node( $m, promise { upfrom( $m + 1 ) } ); |
|
41
|
|
|
|
|
82
|
|
410
|
|
|
|
|
|
|
} |
411
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
sub insert (\@$$); |
413
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
sub cutsort { |
415
|
0
|
|
|
0
|
1
|
0
|
my ( $s, $cmp, $cut, @pending ) = @_; |
416
|
0
|
|
|
|
|
0
|
my @emit; |
417
|
|
|
|
|
|
|
|
418
|
0
|
|
|
|
|
0
|
while ($s) { |
419
|
0
|
|
0
|
|
|
0
|
while ( @pending && $cut->( $pending[0], head($s) ) ) { |
420
|
0
|
|
|
|
|
0
|
push @emit, shift @pending; |
421
|
|
|
|
|
|
|
} |
422
|
|
|
|
|
|
|
|
423
|
0
|
0
|
|
|
|
0
|
if (@emit) { |
424
|
|
|
|
|
|
|
return list_to_stream( @emit, |
425
|
0
|
|
|
0
|
|
0
|
promise { cutsort( $s, $cmp, $cut, @pending ) } ); |
|
0
|
|
|
|
|
0
|
|
426
|
|
|
|
|
|
|
} |
427
|
|
|
|
|
|
|
else { |
428
|
0
|
|
|
|
|
0
|
insert( @pending, head($s), $cmp ); |
429
|
0
|
|
|
|
|
0
|
$s = tail($s); |
430
|
|
|
|
|
|
|
} |
431
|
|
|
|
|
|
|
} |
432
|
|
|
|
|
|
|
|
433
|
0
|
|
|
|
|
0
|
return list_to_stream( @pending, undef ); |
434
|
|
|
|
|
|
|
} |
435
|
|
|
|
|
|
|
|
436
|
|
|
|
|
|
|
sub insert (\@$$) { |
437
|
1
|
|
|
1
|
1
|
647
|
my ( $a, $e, $cmp ) = @_; |
438
|
1
|
|
|
|
|
2
|
my ( $lo, $hi ) = ( 0, scalar(@$a) ); |
439
|
1
|
|
|
|
|
5
|
while ( $lo < $hi ) { |
440
|
2
|
|
|
|
|
4
|
my $med = int( ( $lo + $hi ) / 2 ); |
441
|
2
|
|
|
|
|
7
|
my $d = $cmp->( $a->[$med], $e ); |
442
|
2
|
100
|
|
|
|
9
|
if ( $d <= 0 ) { |
443
|
1
|
|
|
|
|
3
|
$lo = $med + 1; |
444
|
|
|
|
|
|
|
} |
445
|
|
|
|
|
|
|
else { |
446
|
1
|
|
|
|
|
3
|
$hi = $med; |
447
|
|
|
|
|
|
|
} |
448
|
|
|
|
|
|
|
} |
449
|
1
|
|
|
|
|
4
|
splice( @$a, $lo, 0, $e ); |
450
|
|
|
|
|
|
|
} |
451
|
|
|
|
|
|
|
|
452
|
|
|
|
|
|
|
=head1 AUTHOR |
453
|
|
|
|
|
|
|
|
454
|
|
|
|
|
|
|
Mark Dominus, maintained by Curtis "Ovid" Poe, C<< >> |
455
|
|
|
|
|
|
|
|
456
|
|
|
|
|
|
|
=head1 BUGS |
457
|
|
|
|
|
|
|
|
458
|
|
|
|
|
|
|
Please report any bugs or feature requests to |
459
|
|
|
|
|
|
|
C, or through the web interface at |
460
|
|
|
|
|
|
|
L. |
461
|
|
|
|
|
|
|
I will be notified, and then you'll automatically be notified of progress on |
462
|
|
|
|
|
|
|
your bug as I make changes. |
463
|
|
|
|
|
|
|
|
464
|
|
|
|
|
|
|
=head1 ACKNOWLEDGEMENTS |
465
|
|
|
|
|
|
|
|
466
|
|
|
|
|
|
|
Many thanks to Mark Dominus and Elsevier, Inc. for allowing this work to be |
467
|
|
|
|
|
|
|
republished. |
468
|
|
|
|
|
|
|
|
469
|
|
|
|
|
|
|
=head1 COPYRIGHT & LICENSE |
470
|
|
|
|
|
|
|
|
471
|
|
|
|
|
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Code derived from the book "Higher-Order Perl" by Mark Dominus, published by |
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Morgan Kaufmann Publishers, Copyright 2005 by Elsevier Inc. |
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=head1 ABOUT THE SOFTWARE |
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All Software (code listings) presented in the book can be found on the |
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companion website for the book (http://perl.plover.com/hop/) and is |
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subject to the License agreements below. |
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=head1 LATEST VERSION |
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You can download the latest versions of these modules at |
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L. Feel free to fork and make changes. |
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=head1 ELSEVIER SOFTWARE LICENSE AGREEMENT |
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Please read the following agreement carefully before using this Software. This |
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Software is licensed under the terms contained in this Software license |
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agreement ("agreement"). By using this Software product, you, an individual, |
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or entity including employees, agents and representatives ("you" or "your"), |
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acknowledge that you have read this agreement, that you understand it, and |
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that you agree to be bound by the terms and conditions of this agreement. |
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Elsevier inc. ("Elsevier") expressly does not agree to license this Software |
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product to you unless you assent to this agreement. If you do not agree with |
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any of the following terms, do not use the Software. |
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=head1 LIMITED WARRANTY AND LIMITATION OF LIABILITY |
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499
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YOUR USE OF THIS SOFTWARE IS AT YOUR OWN RISK. NEITHER ELSEVIER NOR ITS |
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LICENSORS REPRESENT OR WARRANT THAT THE SOFTWARE PRODUCT WILL MEET YOUR |
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REQUIREMENTS OR THAT ITS OPERATION WILL BE UNINTERRUPTED OR ERROR-FREE. WE |
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EXCLUDE AND EXPRESSLY DISCLAIM ALL EXPRESS AND IMPLIED WARRANTIES NOT STATED |
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HEREIN, INCLUDING THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A |
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PARTICULAR PURPOSE. IN ADDITION, NEITHER ELSEVIER NOR ITS LICENSORS MAKE ANY |
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REPRESENTATIONS OR WARRANTIES, EITHER EXPRESS OR IMPLIED, REGARDING THE |
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PERFORMANCE OF YOUR NETWORK OR COMPUTER SYSTEM WHEN USED IN CONJUNCTION WITH |
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THE SOFTWARE PRODUCT. WE SHALL NOT BE LIABLE FOR ANY DAMAGE OR LOSS OF ANY |
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KIND ARISING OUT OF OR RESULTING FROM YOUR POSSESSION OR USE OF THE SOFTWARE |
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PRODUCT CAUSED BY ERRORS OR OMISSIONS, DATA LOSS OR CORRUPTION, ERRORS OR |
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OMISSIONS IN THE PROPRIETARY MATERIAL, REGARDLESS OF WHETHER SUCH LIABILITY IS |
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BASED IN TORT, CONTRACT OR OTHERWISE AND INCLUDING, BUT NOT LIMITED TO, |
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ACTUAL, SPECIAL, INDIRECT, INCIDENTAL OR CONSEQUENTIAL DAMAGES. IF THE |
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FOREGOING LIMITATION IS HELD TO BE UNENFORCEABLE, OUR MAXIMUM LIABILITY TO YOU |
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SHALL NOT EXCEED THE AMOUNT OF THE PURCHASE PRICE PAID BY YOU FOR THE SOFTWARE |
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PRODUCT. THE REMEDIES AVAILABLE TO YOU AGAINST US AND THE LICENSORS OF |
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MATERIALS INCLUDED IN THE SOFTWARE PRODUCT ARE EXCLUSIVE. |
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YOU UNDERSTAND THAT ELSEVIER, ITS AFFILIATES, LICENSORS, SUPPLIERS AND AGENTS, |
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MAKE NO WARRANTIES, EXPRESSED OR IMPLIED, WITH RESPECT TO THE SOFTWARE |
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PRODUCT, INCLUDING, WITHOUT LIMITATION THE PROPRIETARY MATERIAL, AND |
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SPECIFICALLY DISCLAIM ANY WARRANTY OF MERCHANTABILITY OR FITNESS FOR A |
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PARTICULAR PURPOSE. |
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IN NO EVENT WILL ELSEVIER, ITS AFFILIATES, LICENSORS, SUPPLIERS OR AGENTS, BE |
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LIABLE TO YOU FOR ANY DAMAGES, INCLUDING, WITHOUT LIMITATION, ANY LOST |
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PROFITS, LOST SAVINGS OR OTHER INCIDENTAL OR CONSEQUENTIAL DAMAGES, ARISING |
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OUT OF YOUR USE OR INABILITY TO USE THE SOFTWARE PRODUCT REGARDLESS OF WHETHER |
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SUCH DAMAGES ARE FORESEEABLE OR WHETHER SUCH DAMAGES ARE DEEMED TO RESULT FROM |
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THE FAILURE OR INADEQUACY OF ANY EXCLUSIVE OR OTHER REMEDY. |
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531
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=head1 SOFTWARE LICENSE AGREEMENT |
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533
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This Software License Agreement is a legal agreement between the Author and |
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any person or legal entity using or accepting any Software governed by this |
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Agreement. The Software is available on the companion website |
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(http://perl.plover.com/hop/) for the Book, Higher-Order Perl, which is |
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published by Morgan Kaufmann Publishers. "The Software" is comprised of all |
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code (fragments and pseudocode) presented in the book. |
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By installing, copying, or otherwise using the Software, you agree to be bound |
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by the terms of this Agreement. |
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The parties agree as follows: |
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=over 4 |
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=item 1 Grant of License |
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549
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We grant you a nonexclusive license to use the Software for any purpose, |
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commercial or non-commercial, as long as the following credit is included |
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identifying the original source of the Software: "from Higher-Order Perl by |
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Mark Dominus, published by Morgan Kaufmann Publishers, Copyright 2005 by |
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Elsevier Inc". |
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555
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=item 2 Disclaimer of Warranty. |
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We make no warranties at all. The Software is transferred to you on an "as is" |
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basis. You use the Software at your own peril. You assume all risk of loss for |
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all claims or controversies, now existing or hereafter, arising out of use of |
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the Software. We shall have no liability based on a claim that your use or |
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combination of the Software with products or data not supplied by us infringes |
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any patent, copyright, or proprietary right. All other warranties, expressed |
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or implied, including, without limitation, any warranty of merchantability or |
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fitness for a particular purpose are hereby excluded. |
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=item 3 Limitation of Liability. |
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568
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We will have no liability for special, incidental, or consequential damages |
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even if advised of the possibility of such damages. We will not be liable for |
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any other damages or loss in any way connected with the Software. |
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572
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=back |
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574
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=cut |
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576
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1; # End of HOP::Stream |