NAME
Math::NumSeq::DigitSumModulo  digit sum taken modulo a given modulus
SYNOPSIS
use Math::NumSeq::DigitSumModulo;
my $seq = Math::NumSeq::DigitSumModulo>new (radix => 10,
modulus => 9);
my ($i, $value) = $seq>next;
DESCRIPTION
The sum of digits in each i, taken modulo the radix or a given modulus. For example at i=123 with modulus 5 the value is 1+2+3=6, mod 5 = 1.
Modulus 0, which is the default, means modulo the radix.
ThueMorse Sequence
For radix=>2, modulus=>2
this is the ThueMorse "parity" sequence, being 1 if i has an odd number of 1 bits or 0 if an even number of 1 bits. Numbers where it's 1 are sometimes called "odious" numbers and where it's 0 called "evil" numbers.
FUNCTIONS
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::DigitSumModulo>new (radix => $r, modulus => $d)

Create and return a new sequence object.
Random Access
$value = $seq>ith($i)

Return the sum of the digits in
$i
written inradix
, modulo themodulus
. $bool = $seq>pred($value)

Return true if
$value
might occur as value in the sequence, which means simply$value
= 0> and$value <= modulus
(the givenmodulus
or theradix
if modulus=0).
SEE ALSO
Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::MephistoWaltz
HOME PAGE
http://user42.tuxfamily.org/mathnumseq/index.html
LICENSE
Copyright 2011, 2012, 2013, 2014 Kevin Ryde
MathNumSeq 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.
MathNumSeq 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 MathNumSeq. If not, see <http://www.gnu.org/licenses/>.