1Math::NumSeq::DigitSumMUosdeurloC(o3n)tributed Perl DocuMmaetnht:a:tNiuomnSeq::DigitSumModulo(3)
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NAME

6       Math::NumSeq::DigitSumModulo -- digit sum taken modulo a given modulus
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SYNOPSIS

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

15       The sum of digits in each i, taken modulo the radix or a given modulus.
16       For example at i=123 with modulus 5 the value is 1+2+3=6, mod 5 = 1.
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18       Modulus 0, which is the default, means modulo the radix.
19
20   Thue-Morse Sequence
21       For "radix=>2, modulus=>2" this is the Thue-Morse "parity" sequence,
22       being 1 if i has an odd number of 1 bits or 0 if an even number of 1
23       bits.  Numbers where it's 1 are sometimes called "odious" numbers and
24       where it's 0 called "evil" numbers.
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FUNCTIONS

27       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
28       classes.
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30       "$seq = Math::NumSeq::DigitSumModulo->new (radix => $r, modulus => $d)"
31           Create and return a new sequence object.
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33   Random Access
34       "$value = $seq->ith($i)"
35           Return the sum of the digits in $i written in "radix", modulo the
36           "modulus".
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38       "$bool = $seq->pred($value)"
39           Return true if $value might occur as value in the sequence, which
40           means simply $value = 0> and "$value <= modulus" (the given
41           "modulus" or the "radix" if modulus=0).
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SEE ALSO

44       Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::MephistoWaltz
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HOME PAGE

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

50       Copyright 2011, 2012, 2013, 2014 Kevin Ryde
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52       Math-NumSeq is free software; you can redistribute it and/or modify it
53       under the terms of the GNU General Public License as published by the
54       Free Software Foundation; either version 3, or (at your option) any
55       later version.
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57       Math-NumSeq is distributed in the hope that it will be useful, but
58       WITHOUT ANY WARRANTY; without even the implied warranty of
59       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
60       General Public License for more details.
61
62       You should have received a copy of the GNU General Public License along
63       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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67perl v5.28.1                      2014-06-29   Math::NumSeq::DigitSumModulo(3)
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