Math::NumSeq::Squares -- perfect squares
use Math::NumSeq::Squares; my $seq = Math::NumSeq::Squares->new; my ($i, $value) = $seq->next;
The sequence of squares i**2,
0, 1, 4, 9, 16, 25, ...
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::Squares->new ()
Create and return a new sequence object.
Move the current sequence position to
$i. The next call to
next() will return
$i and corresponding value.
Move the current sequence position so that
next() will give
$value on the next call, or if
$value is not a square then the next square above
$value = $seq->ith($i)
$i * $i.
$bool = $seq->pred($value)
Return true if
$value is a square, ie. k*k for some integer k.
$i = $seq->value_to_i_ceil($value)
$i = $seq->value_to_i_floor($value)
Return the square root of
$value, rounded up or down to the next integer.
$i = $seq->value_to_i_estimate($value)
Return an estimate of the i corresponding to
Copyright 2010, 2011, 2012, 2013 Kevin Ryde
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 <http://www.gnu.org/licenses/>.