1Math::NumSeq::UndulatinUgsNeurmbCeornst(r3i)buted Perl DMoactuhm:e:nNtuamtSieoqn::UndulatingNumbers(3)
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6 Math::NumSeq::UndulatingNumbers -- numbers with alternating digits
7 ABABAB...
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10 use Math::NumSeq::UndulatingNumbers;
11 my $seq = Math::NumSeq::UndulatingNumbers->new (radix => 10);
12 my ($i, $value) = $seq->next;
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15 This is the sequence of numbers with digits ABABAB... alternating
16 between two values,
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18 0 ... 99,
19 101, 111, 121, 131, ... 191,
20 202, 212, 222, 232, ... 292,
21 ...
22 909, 919, 929, 939, ... 999,
23 1010, 1111, 1212, ... 1919,
24 ...
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26 Numbers with just 1 or 2 digits are A or AB and are considered of
27 undulating form. This means all numbers up to 99 are undulating.
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29 The default is decimal or the optional "radix=>$r" can select another
30 radix.
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32 In binary the only two digits are 0 and 1 and the high digit must be 1,
33 so it ens up being just 101... and 111...
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35 0, 1, 10, 11, 101, 111, 1010, 1111, 10101, 11111, ...
36 (in binary)
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39 See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
40 classes.
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42 "$seq = Math::NumSeq::UndulatingNumbers->new ()"
43 "$seq = Math::NumSeq::UndulatingNumbers->new (radix => $r)"
44 Create and return a new sequence object. The default radix is 10.
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46 "$bool = $seq->pred($value)"
47 Return true if $value is an undulating number, ie. has digits of
48 the form ABABAB...
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50 "$i = $seq->value_to_i_floor($value)"
51 "$i = $seq->value_to_i_estimate($value)"
52 Return the i for the undulating number <= $value.
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55 Math::NumSeq
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58 <http://user42.tuxfamily.org/math-numseq/index.html>
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61 Copyright 2010, 2011, 2012, 2013, 2014, 2016, 2019, 2020 Kevin Ryde
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63 Math-NumSeq is free software; you can redistribute it and/or modify it
64 under the terms of the GNU General Public License as published by the
65 Free Software Foundation; either version 3, or (at your option) any
66 later version.
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68 Math-NumSeq is distributed in the hope that it will be useful, but
69 WITHOUT ANY WARRANTY; without even the implied warranty of
70 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
71 General Public License for more details.
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73 You should have received a copy of the GNU General Public License along
74 with Math-NumSeq. If not, see <http://www.gnu.org/licenses/>.
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78perl v5.36.0 2022-07-22Math::NumSeq::UndulatingNumbers(3)