1Math::NumSeq::DigitLengUtsheCrumCuolnattriivbeu(t3e)d PeMralthD:o:cNuummeSnetqa:t:iDoingitLengthCumulative(3)
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6 Math::NumSeq::DigitLengthCumulative -- total length in digits of
7 numbers 1 to i
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10 use Math::NumSeq::DigitLengthCumulative;
11 my $seq = Math::NumSeq::DigitLengthCumulative->new (radix => 10);
12 my ($i, $value) = $seq->next;
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15 The total length of numbers 0 to i, starting from i=0.
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17 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, ...
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19 "0" is taken to be a single digit, so the initial i=0 is total length
20 1. Then it's length 1 more for each of i=1 to i=9, then at i=10 length
21 2 more, etc.
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23 The default is decimal, or the optional "radix" parameter can select
24 another base. For example "radix => 3" ternary,
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26 1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, ...
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29 See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
30 classes.
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32 "$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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50 Math::NumSeq, Math::NumSeq::DigitLength
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53 <http://user42.tuxfamily.org/math-numseq/index.html>
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56 Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020 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.
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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.
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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 v5.36.0 2022-07M-a2t2h::NumSeq::DigitLengthCumulative(3)