NAME

Math::NumSeq::RadixConversion -- radix conversion

SYNOPSIS

use Math::NumSeq::RadixConversion;
my $seq = Math::NumSeq::RadixConversion->new (from_radix => 2,
                                              to_radix => 10);
my ($i, $value) = $seq->next;

DESCRIPTION

This sequence is the index i converted from one radix to another. The default is from binary to decimal,

0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, ...
starting i=0

For example i=3 in binary is 0b11 which is interpreted as decimal for value 11, ie. eleven.

When from_radix < to_radix the effect is to give values which in to_radix use only the digits of from_radix. The default is all integers which in decimal use only the binary digits, ie. 0 and 1.

When from_radix > to_radix the conversion is a reduction. The calculation is still a breakdown and re-assembly

i = d[k]*from_radix^k + ... + d[1]*from_radix + d[0]
value = d[k]*to_radix^k + ... + d[1]*to_radix + d[0]

but because to_radix is smaller the value is smaller than the index i. For example from_radix=10 and to_radix=8 turns i=345 into value=3*8^2+4*8+5=229.

FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::RadixConversion->new ()

$seq = Math::NumSeq::RadixConversion->new (from_radix => $r, to_radix => $t)

Create and return a new sequence object.

Random Access

$value = $seq->ith($i)

Return $i as digits of base radix encoded in to_radix.

$bool = $seq->pred($value)

Return true if $value occurs in the sequence.

If to_radix <= from_radix then all integer $value occurs. If to_radix > from_radix then $value written in to_radix must use only digits 0 to from_radix - 1 inclusive.

SEE ALSO

Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::HarshadNumbers

HOME PAGE

http://user42.tuxfamily.org/math-numseq/index.html

LICENSE

Copyright 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/>.