1Math::NumSeq::Squares(3U)ser Contributed Perl DocumentatiMoanth::NumSeq::Squares(3)
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NAME

6       Math::NumSeq::Squares -- perfect squares
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SYNOPSIS

9        use Math::NumSeq::Squares;
10        my $seq = Math::NumSeq::Squares->new;
11        my ($i, $value) = $seq->next;
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DESCRIPTION

14       The sequence of squares i**2,
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16           0, 1, 4, 9, 16, 25, ...     (A000290)
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FUNCTIONS

19       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
20       classes.
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22       "$seq = Math::NumSeq::Squares->new ()"
23           Create and return a new sequence object.
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25   Iterating
26       "$seq->seek_to_i($i)"
27           Move the current sequence position to $i.  The next call to next()
28           will return $i and corresponding value.
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30       "$seq->seek_to_value($value)"
31           Move the current sequence position so that next() will give $value
32           on the next call, or if $value is not a square then the next square
33           above $value.
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35   Random Access
36       "$value = $seq->ith($i)"
37           Return "$i * $i".
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39       "$bool = $seq->pred($value)"
40           Return true if $value is a square, ie. k*k for some integer k.
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42       "$i = $seq->value_to_i_ceil($value)"
43       "$i = $seq->value_to_i_floor($value)"
44           Return the square root of $value, rounded up or down to the next
45           integer.
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47       "$i = $seq->value_to_i_estimate($value)"
48           Return an estimate of the i corresponding to $value.
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SEE ALSO

51       Math::NumSeq, Math::NumSeq::Pronic, Math::NumSeq::Triangular,
52       Math::NumSeq::Cubes
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HOME PAGE

55       <http://user42.tuxfamily.org/math-numseq/index.html>
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LICENSE

58       Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020 Kevin Ryde
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60       Math-NumSeq is free software; you can redistribute it and/or modify it
61       under the terms of the GNU General Public License as published by the
62       Free Software Foundation; either version 3, or (at your option) any
63       later version.
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65       Math-NumSeq is distributed in the hope that it will be useful, but
66       WITHOUT ANY WARRANTY; without even the implied warranty of
67       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
68       General Public License for more details.
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70       You should have received a copy of the GNU General Public License along
71       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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75perl v5.38.0                      2023-07-20          Math::NumSeq::Squares(3)
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