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# Copyright (c) 2012-2017 Martin Becker, Blaubeuren. All rights reserved. |
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# This package is free software; you can redistribute it and/or modify it |
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# under the same terms as Perl itself. |
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package Math::Logic::Ternary::Expression; |
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use strict; |
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use warnings; |
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require Exporter; |
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our @ISA = qw(Exporter); |
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our @EXPORT_OK = qw(not3 and3 or3 xor3 eqv3 bool3 val3); |
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our %EXPORT_TAGS = ('all' => \@EXPORT_OK); |
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our $VERSION = '0.004'; |
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# ----- object definition ----- |
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# Math::Logic::Ternary::Expression=ARRAY(...) |
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# M::L::T::Expression ARRAY |
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# +----------+---------+ +----------+----------+ |
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# | VALUEREF | o----------->| VALUE | anything | |
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# +----------+---------+ +----------+----------+ |
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# | NEGATED | boolean | | DEFERRED | boolean | |
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# +----------+---------+ +----------+----------+ |
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# .......... index .......... # .............. value .............. |
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use constant VALUEREF => 0; # ref of lazily accessible value |
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use constant NEGATED => 1; # boolean |
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# lazily accessible value: ARRAY(...) |
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# .......... index .......... # .............. value .............. |
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use constant VALUE => 0; # coderef while deferred, then value |
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use constant DEFERRED => 1; # boolean |
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my $undef = bless [[undef, ''], '']; |
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# turn any value into an MLTE object |
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sub _object { |
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my ($this) = @_; |
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return $undef if !defined $this; |
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return $this if __PACKAGE__ eq ref $this; |
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return bless [[$this, 'CODE' eq ref $this], '']; |
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} |
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# get the actual value from an MLTE object |
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sub _evaluate { |
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my ($this) = @_; |
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my $vr = $this->[VALUEREF]; |
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my $v = $vr->[VALUE]; |
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my $n = $this->[NEGATED]; |
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if ($vr->[DEFERRED]) { |
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$vr->[DEFERRED] = ''; |
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$v = $vr->[VALUE] = $v->(); |
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if (!defined $v) { |
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$n = $this->[NEGATED] = ''; |
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} |
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} |
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# die "assertion failed" unless defined($v) || !$n; |
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return $n? !$v: $v; |
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} |
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# get the actual value from anything |
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sub val3 { |
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my ($this) = @_; |
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return $this if !defined($this) || __PACKAGE__ ne ref $this; |
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return _evaluate($this); |
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} |
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# replace actual value by a truth value |
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sub bool3 { |
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my ($this) = @_; |
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my $val = _evaluate(_object($this)); |
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return $undef if !defined $val; |
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return bless [[!!$val, ''], '']; |
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} |
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# negate without evaluating |
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sub not3 { |
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my ($this) = @_; |
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return $undef if !defined $this; |
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if (__PACKAGE__ eq ref $this) { |
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my $vr = $this->[VALUEREF]; |
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return $undef if !($vr->[DEFERRED] || defined $vr->[VALUE]); |
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return bless [$vr, !$this->[NEGATED]]; |
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} |
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return bless [[$this, 'CODE' eq ref $this], 1]; |
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} |
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# a && b: tt => b, tf => b, ft => a, ff => a |
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sub and3 { |
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my ($this, $that) = @_; |
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my $obj = _object($this); |
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my $val = _evaluate($obj); |
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return $obj if defined($val) && !$val; # false, * => LHS |
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$obj = _object($that); |
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return $obj if $val; # true, * => RHS |
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$val = _evaluate($obj); |
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return $obj if defined($val) && !$val; # undef, false => RHS |
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return $undef; # else => undef |
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} |
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# a || b: tt => a, tf => a, ft => b, ff => b |
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sub or3 { |
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my ($this, $that) = @_; |
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my $obj = _object($this); |
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my $val = _evaluate($obj); |
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return $obj if $val; # true, * => LHS |
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$obj = _object($that); |
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return $obj if defined $val; # false, * => RHS |
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$val = _evaluate($obj); |
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return $obj if $val; # undef, true => RHS |
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return $undef; # else => undef |
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} |
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# a? !b: b tt => !b, tf => !b, ft => b, ff => b |
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# !a && b || !b && a tt => !b, tf => a, ft => b, ff => a |
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# !b && a || !a && b tt => !a, tf => a, ft => b, ff => b |
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# !(a && b) && (a || b) tt => !b, tf => a, ft => b, ff => b (implemented) |
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sub xor3 { |
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my ($this, $that) = @_; |
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my $obj1 = _object($this); |
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my $val = _evaluate($obj1); |
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return $undef if !defined $val; # undef, * => undef |
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my $obj2 = _object($that); |
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return $obj2 if !$val; # false, * => RHS |
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$val = _evaluate($obj2); |
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return $undef if !defined $val; # true, undef => undef |
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return $obj1 if !$val; # true, false => LHS |
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return not3($obj2); # true, true => not RHS |
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} |
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# !(a || b) || (a && b) tt => b, tf => b, ft => a, ff => !b |
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sub eqv3 { |
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my ($this, $that) = @_; |
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my $obj1 = _object($this); |
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my $val = _evaluate($obj1); |
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return $undef if !defined $val; # undef, * => undef |
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my $obj2 = _object($that); |
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return $obj2 if $val; # true, * => RHS |
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$val = _evaluate($obj2); |
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return $undef if !defined $val; # false, undef => undef |
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return $obj1 if $val; # false, true => LHS |
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return not3($obj2); # false, false => not RHS |
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} |
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1; |
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__END__ |