Math::NumSeq::RadixConversion -- radix conversion
use Math::NumSeq::RadixConversion; my $seq = Math::NumSeq::RadixConversion->new (from_radix => 2, to_radix => 10); my ($i, $value) = $seq->next;
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.
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.
$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.
Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::HarshadNumbers
http://user42.tuxfamily.org/math-numseq/index.html
Copyright 2012, 2013, 2014 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/>.