File Coverage

blib/lib/Math/NumSeq/Odd.pm

Criterion	Covered	Total	%
statement	63	63	100.0
branch	8	8	100.0
condition	6	6	100.0
subroutine	20	20	100.0
pod	10	10	100.0
total	107	107	100.0

# Copyright 2010, 2011, 2012, 2013, 2014 Kevin Ryde

# This file is part of Math-NumSeq.
#
# Math-NumSeq is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by the
# Free Software Foundation; either version 3, or (at your option) any later
# version.
#
# Math-NumSeq is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
# or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
# for more details.
#
# You should have received a copy of the GNU General Public License along
# with Math-NumSeq.  If not, see .

package Math::NumSeq::Odd;
use 5.004;
use strict;

use vars '$VERSION', '@ISA';
$VERSION = 71;
use Math::NumSeq;
@ISA = ('Math::NumSeq');

# uncomment this to run the ### lines
#use Smart::Comments;


# use constant name => Math::NumSeq::__('Odd Integers');
use constant description => Math::NumSeq::__('The odd integers 1, 3, 5, 7, 9, etc, 2i+1.');
use constant values_min => 1;
use constant default_i_start => 0;
use constant characteristic_increasing => 1;
use constant characteristic_integer => 1;
use constant oeis_anum => 'A005408'; # odd 1,3,5,...

sub rewind {
  my ($self) = @_;
  $self->{'i'} = $self->i_start;
}
sub seek_to_i {
  my ($self, $i) = @_;
  $self->{'i'} = $i;
}
sub seek_to_value {
  my ($self, $value) = @_;
  $self->seek_to_i($self->value_to_i_ceil($value));
}
sub next {
  my ($self) = @_;
  my $i = $self->{'i'}++;
  return ($i, 2*$i+1);
}
sub ith {
  my ($self, $i) = @_;
  return 2*$i+1;
}
sub pred {
  my ($self, $value) = @_;
  ### Odd pred(): $value
  return ($value == int($value)
          && ($value % 2));
}

sub value_to_i {
  my ($self, $value) = @_;
  my $int = int($value);
  if ($value == $int
      && ($int % 2) == 1) {
    return ($int-1)/2;
  }
  return undef;
}
sub value_to_i_floor {
  my ($self, $value) = @_;
  if (($value -= 1) < 0) {
    my $i = int($value/2);
    if (2*$i > $value) {
      return $i-1;
    } else {
      return $i;
    }
  } else {
    return int($value/2);
  }
}
sub value_to_i_ceil {
  my ($self, $value) = @_;
  $value -= 1;
  my $i = int($value/2);
  if (2*$i < $value) {
    return $i+1;
  } else {
    return $i;
  }
}
sub value_to_i_estimate {
  my ($self, $value) = @_;
  return int(($value-1)/2);
}

1;
__END__