EVOLUTION-MANAGER
Edit File: Base.pm
package Math::Calc::Units::Convert::Base; use strict; sub major_pref { return 0; } # major_variants :void -> ( unit name ) # # Return the set of prefix-free variants of the class that you might # want to use as a final result. So for time, this would return # "second" and "year" but not "millisecond" or "gigayear". # # Only this base class will ever use the unit passed in, and that's # because this base class is used for unknown units. Subclasses should # return a list of variants regardless of what is passed as $unit. # sub major_variants { my ($self, $unit) = @_; return $unit; } # singular : unitName -> unitName # # Convert a possibly pluralized unit name to the uninflected singular # form of the same name. # # Example: inches -> inch # Example: inch -> inch # # I suppose I ought to optionally allow Lingu::EN::Inflect or whatever # it's called. # sub singular { my $self = shift; local $_ = shift; return $_ unless /s$/; return $1 if /^(.*[^e])s$/; # doesn't end in es => just chop off the s return $1 if /^(.*(ch|sh))es$/; # eg inches -> inch return $1 if /^(.*[aeiou][^aeiou]e)s$/; # scales -> scale chop; return $_; # Chop off the s } sub unit_map { return {}; } sub variants { my ($self, $base) = @_; my $map = $self->unit_map(); return ($base, keys %$map); } # same : unit x unit -> boolean # # Returns whether the two units match, where a unit is a string (eg # "week") and a power. So "days" and "toothpicks" are not the same, # nor are feet and square feet. sub same { my ($self, $u, $v) = @_; return 0 if keys %$u != keys %$v; while (my ($name, $power) = each %$u) { return 0 if ! exists $v->{$name}; return 0 if $v->{$name} != $power; } return 1; } # simple_convert : unitName x unitName -> multiplier # # Second unit name must be canonical. # sub simple_convert { my ($self, $from, $to) = @_; return 1 if $from eq $to; my $map = $self->unit_map(); my $w = $map->{$from} || $map->{lc($from)}; if (! $w) { $from = $self->singular($from); $w = $map->{$from} || $map->{lc($from)}; } return if ! $w; # Failed # We might have only gotten one step closer (hour -> minute -> sec) if ($w->[1] ne $to) { my $submult = $self->simple_convert($w->[1], $to); return if ! defined $submult; return $w->[0] * $submult; } else { return $w->[0]; } } # to_canonical : unitName -> amount x unitName # # Convert the given unit to the canonical unit for this class, along # with a conversion factor. # sub to_canonical { my ($self, $unitName) = @_; my $canon = $self->canonical_unit(); if ($canon) { my $mult = $self->simple_convert($unitName, $canon); return if ! defined $mult; return ($mult, $canon); } else { return (1, $self->singular($unitName)); } } # canonical_unit : void -> unit name # # Return the canonical unit for this class. # sub canonical_unit { return; } sub abbreviated_canonical_unit { my ($self) = @_; return $self->canonical_unit; } #################### RANKING, SCORING, DISPLAYING ################## # spread : magnitude x base unit x units to spread over # -> ( <mag,unit> ) # # @$units MUST BE SORTED, LARGER UNITS FIRST! # my $THRESHOLD = 0.01; sub spread { my ($self, $mag, $base, $start, $units) = @_; die if $mag < 0; # Must be given a positive value! return [ 0, $base ] if $mag == 0; my $orig = $mag; my @desc; my $started = 0; foreach my $unit (@$units) { $started = 1 if $unit eq $start; next unless $started; last if ($mag / $orig) < $THRESHOLD; my $mult = $self->simple_convert($unit, $base); my $n = int($mag / $mult); next if $n == 0; $mag -= $n * $mult; push @desc, [ $n, $unit ]; } return @desc; } # range_score : amount x unitName -> score # # Returns 1 if the value is in range for the unit, 0.1 if the value is # infinitely close to being in range, and decaying to 0.001 as the # value approaches infinitely far away from the range. # # For the outside of range values, I convert to log space (so 1/400 is # just as far away from 1 as 400 is). I then treat the allowed range # as a one standard deviation wide segment of a normal distribution, # and use appropriate modifiers to make the result range from 0.001 to # 0.1. # # The above formula was carefully chosen from thousands of # possibilities, by picking things at random and scribbling them down # on a piece of paper, then pouring sparkling apple cider all over and # using the one that was still readable. # # Ok, not really. Just pretend that I went to that much trouble. # sub range_score { my ($self, $val, $unitName) = @_; my $ranges = $self->get_ranges(); my $range = $ranges->{$unitName} || $ranges->{default}; # Return 1 if it's in range if ($val >= $range->[0]) { if (! defined $range->[1] || ($val <= $range->[1])) { return 1; } } $val = _sillylog($val); my $r0 = _sillylog($range->[0]); my $r1; if (defined $range->[1]) { $r1 = _sillylog($range->[1]); } else { $r1 = 4; } my $width = $r1 - $r0; my $mean = ($r0 + $r1) / 2; my $stddev = $width / 2; my $n = ($val - $mean) / $stddev; # Normalized value our $mulconst; $mulconst ||= 0.999 * exp(1/8); return 0.001 + $mulconst * exp(-$n**2/2); } # Infinity-free logarithm sub _sillylog { my $x = shift; return log($x) if $x; return log(1e-50); } # pref_score : unitName -> score # # Maps a unit name (eg week) to a score. Higher scores are more likely # to be chosen. sub pref_score { my ($self, $unitName) = @_; my $prefs = $self->get_prefs(); my $specific = $prefs->{$unitName}; return defined($specific) ? $specific : $prefs->{default}; } # get_prefs : void -> { unit name => score } # # Return a map of unit names to their score, higher scores meaning # they're more likely to be chosen. sub get_prefs { return { default => 0.1 }; } sub get_ranges { return { default => [ 1, undef ] }; } # render_unit : unit name x power -> descriptive string # # Return a rendering of the given unit name and a power to raise the # unit to. # # Example: render_unit("weeks", 2) produces "weeks**2". # sub render_unit { my ($self, $name, $power, $options) = @_; if ($power == 1) { return $name; } else { return "$name**$power"; } } # render : value x name x power -> descriptive string # # Return a rendering of the given value with the given units. # # Example: render(4.8, "weeks", -1) produces "4.8 weeks**-1". # sub render { my ($self, $val, $name, $power, $options) = @_; return sprintf("%.5g ",$val).$self->render_unit($name, $power, $options); } sub construct { return; } 1;