1Math::NumSeq::DigitLengUtsheCrumCuolnattriivbeu(t3e)d PeMralthD:o:cNuummeSnetqa:t:iDoingitLengthCumulative(3)
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NAME

6       Math::NumSeq::DigitLengthCumulative -- total length in digits of
7       numbers 1 to i
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SYNOPSIS

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

15       The total length of numbers 0 to i, starting from i=0.
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17           1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, ...
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19       "0" is taken to be a single digit, so the initial i=0 is total length
20       1.  Then it's length 1 more for each of i=1 to i=9, then at i=10 length
21       2 more, etc.
22
23       The default is decimal, or the optional "radix" parameter can select
24       another base.  For example "radix => 3" ternary,
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26           1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, ...
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FUNCTIONS

29       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
30       classes.
31
32       "$seq = Math::NumSeq::DigitLengthCumulative->new (radix => $r)"
33           Create and return a new sequence object.
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35   Random Access
36       "$value = $seq->ith($i)"
37           Return total length in digits of the numbers 0 to $i, inclusive.
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39       "$bool = $seq->pred($value)"
40           Return true if $value occurs in the sequence.
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42       "$i = $seq->value_to_i_floor($value)"
43           Return the index i of $value or of the next cumulative total below
44           $value.
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46       "$i = $seq->value_to_i_estimate($value)"
47           Return an estimate of the i corresponding to $value.
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SEE ALSO

50       Math::NumSeq, Math::NumSeq::DigitLength
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HOME PAGE

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

56       Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019 Kevin Ryde
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58       Math-NumSeq is free software; you can redistribute it and/or modify it
59       under the terms of the GNU General Public License as published by the
60       Free Software Foundation; either version 3, or (at your option) any
61       later version.
62
63       Math-NumSeq is distributed in the hope that it will be useful, but
64       WITHOUT ANY WARRANTY; without even the implied warranty of
65       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
66       General Public License for more details.
67
68       You should have received a copy of the GNU General Public License along
69       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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73perl v5.34.0                      2021-07M-a2t2h::NumSeq::DigitLengthCumulative(3)
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