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package App::Math::Tutor::Cmd::VulFrac::Cmd::Cast; |
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use warnings; |
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use strict; |
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use vars qw(@ISA $VERSION); |
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=head1 NAME |
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App::Math::Tutor::Cmd::VulFrac::Cmd::Cast - Plugin for casting of vulgar fraction into decimal fraction and vice versa |
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=cut |
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our $VERSION = '0.004'; |
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use Moo; |
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use MooX::Cmd; |
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use MooX::Options; |
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has template_filename => ( |
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is => "ro", |
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default => "twocols" |
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); |
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with "App::Math::Tutor::Role::VulFracExercise", "App::Math::Tutor::Role::DecFracExercise"; |
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=head1 ATTRIBUTES |
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=head2 chart |
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Enable chart for fraction approximation. |
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Warning: This is experimental and requires LaTeX::Driver 0.20+ and properly working xelatex |
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Default: 0 |
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=cut |
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option chart => ( |
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is => "ro", |
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doc => "Enable chart for fraction approximation", |
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long_doc => "Enable chart for fraction approximation\n\n" |
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. "Warning: This is experimental and requires LaTeX::Driver 0.20+ and properly working xelatex\n\n" |
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. "Default: 0", |
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default => sub { 0 }, |
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negativable => 1, |
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); |
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sub _build_command_names |
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{ |
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return qw(cast); |
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} |
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sub _get_castable_numbers |
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{ |
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my ( $self, $quantity ) = @_; |
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my @result; |
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while ( $quantity-- ) |
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{ |
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my $vf; |
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do |
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{ |
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$vf = $self->_guess_vulgar_fraction; |
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} while ( !$self->_check_vulgar_fraction($vf) or !$self->_check_decimal_fraction($vf) ); |
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push @result, $vf; |
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} |
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return @result; |
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} |
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sub _build_exercises |
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{ |
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my ($self) = @_; |
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my (@tasks); |
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foreach my $i ( 1 .. $self->quantity ) |
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{ |
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my @line; |
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foreach my $j ( 0 .. 1 ) |
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{ |
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my ($a) = $self->_get_castable_numbers(1); |
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push @line, [$a]; |
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} |
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push @tasks, \@line; |
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} |
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my $exercises = { |
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section => "Vulgar fraction <-> decimal fracion casting", |
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caption => 'Fractions', |
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label => 'vulgar_decimal_fractions', |
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header => [ [ 'Vulgar => Decimal Fraction', 'Decimal => Vulgar Fraction' ] ], |
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solutions => [], |
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challenges => [], |
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usepackages => [qw(pstricks pstricks-add)], |
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}; |
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my $digits = $self->digits; |
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foreach my $line (@tasks) |
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{ |
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my ( @solution, @challenge ); |
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# cast vulgar fraction to decimal |
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my ($a) = @{ $line->[0] }; |
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push @challenge, sprintf( '$ %s = $', $a ); |
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my @way; # remember Frank Sinatra :) |
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push @way, "" . $a; |
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$a = $a->_reduce; |
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$a->num != $line->[0]->[0]->num and push @way, "" . $a; |
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my $rd = $digits + length( int($a) ) + 1; |
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push @way, sprintf( "%0.${rd}g", $a ); |
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$self->chart and push @way, |
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sprintf( |
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'\begin{pspicture}(-0.25,-0.25)(0.25,0.25)\psChart[chartColor=color,chartSep=1pt]{%d,%d}{}{0.25}\end{pspicture}', |
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$a->num % $a->denum, $a->denum - ( $a->num % $a->denum ) ); |
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push( @solution, '$ ' . join( " = ", @way ) . ' $' ); |
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# cast decimal to vulgar fraction |
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@way = (); |
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($a) = @{ $line->[1] }; |
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$rd = $digits + length( int($a) ) + 1; |
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push @challenge, sprintf( "\$ %0.${rd}g = \$", $a ); |
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push @way, sprintf( "%0.${rd}g", $a ); |
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$a = $a->_reduce; |
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push @way, "" . $a; |
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$self->chart and push @way, |
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sprintf( |
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'\begin{pspicture}(-0.25,-0.25)(0.25,0.25)\psChart[chartColor=color,chartSep=1pt]{%d,%d}{}{0.25}\end{pspicture}', |
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$a->num % $a->denum, $a->denum - ( $a->num % $a->denum ) ); |
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push( @solution, '$ ' . join( " = ", @way ) . ' $' ); |
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push( @{ $exercises->{solutions} }, \@solution ); |
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push( @{ $exercises->{challenges} }, \@challenge ); |
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} |
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return $exercises; |
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} |
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=head1 LICENSE AND COPYRIGHT |
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Copyright 2010-2014 Jens Rehsack. |
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This program is free software; you can redistribute it and/or modify it |
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under the terms of either: the GNU General Public License as published |
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by the Free Software Foundation; or the Artistic License. |
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See http://dev.perl.org/licenses/ for more information. |
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=cut |
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1; |