Math::NumSeq::DigitLengthCumulative -- total length in digits of numbers 1 to i
use Math::NumSeq::DigitLengthCumulative; my $seq = Math::NumSeq::DigitLengthCumulative->new (radix => 10); my ($i, $value) = $seq->next;
The total length of numbers 0 to i, starting from i=0.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, ...
"0" is taken to be a single digit, so the initial i=0 is total length 1. Then it's length 1 more for each of i=1 to i=9, then at i=10 length 2 more, etc.
The default is decimal, or the optional radix
parameter can select another base. For example radix => 3
ternary,
1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, ...
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::DigitLengthCumulative->new (radix => $r)
Create and return a new sequence object.
$value = $seq->ith($i)
Return total length in digits of the numbers 0 to $i
, inclusive.
$bool = $seq->pred($value)
Return true if $value
occurs in the sequence.
$i = $seq->value_to_i_floor($value)
Return the index i of $value
or of the next cumulative total below $value
.
$i = $seq->value_to_i_estimate($value)
Return an estimate of the i corresponding to $value
.
Math::NumSeq, Math::NumSeq::DigitLength
http://user42.tuxfamily.org/math-numseq/index.html
Copyright 2010, 2011, 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/>.