NAME
Math::NumSeq::Squares -- perfect squares
SYNOPSIS
use Math::NumSeq::Squares;
my $seq = Math::NumSeq::Squares->new;
my ($i, $value) = $seq->next;
DESCRIPTION
The sequence of squares i**2,
0, 1, 4, 9, 16, 25, ... (A000290)
FUNCTIONS
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
Iterating
$seq->seek_to_i($i)
-
Move the current sequence position to
$i
. The next call tonext()
will return$i
and corresponding value. $seq->seek_to_value($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
.
Random Access
$value = $seq->ith($i)
-
Return
$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
$value
.
SEE ALSO
Math::NumSeq, Math::NumSeq::Pronic, Math::NumSeq::Triangular, Math::NumSeq::Cubes
HOME PAGE
http://user42.tuxfamily.org/math-numseq/index.html
LICENSE
Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020 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/>.