1Math::NumSeq::Runs(3) User Contributed Perl DocumentationMath::NumSeq::Runs(3)
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NAME

6       Math::NumSeq::Runs -- runs of consecutive integers
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SYNOPSIS

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

14       This is various kinds of runs of integers.  The "runs_type" parameter
15       (a string) can be
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17           "0toN"      0, 0,1, 0,1,2, 0,1,2,3, etc runs 0..N
18           "1toN"      1, 1,2, 1,2,3, 1,2,3,4, etc runs 1..N
19           "1to2N"     1,2, 1,2,3,4, 1,2,3,4,5,6 etc runs 1..2N
20           "1to2N+1"   1, 1,2,3, 1,2,3,4,5, etc runs 1..2N+1
21           "1toFib"    1, 1, 1,2, 1,2,3,  1,2,3,4,5 etc runs 1..Fibonacci
22           "Nto0"      0, 1,0, 2,1,0, 3,2,1,0, etc runs N..0
23           "Nto1"      1, 2,1, 3,2,1, 4,3,2,1, etc runs N..1
24           "0toNinc"   0, 1,2, 2,3,4, 3,4,5,6, etc runs 0..N increasing
25           "Nrep"      1, 2,2, 3,3,3, 4,4,4,4, etc N repetitions of N
26           "N+1rep"    0, 1,1, 2,2,2, 3,3,3,3, etc N+1 repetitions of N
27           "2rep"      0,0, 1,1, 2,2, etc two repetitions of each N
28           "3rep"      0,0,0, 1,1,1, 2,2,2, etc three repetitions of N
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30       "0toN" and "1toN" differ only the latter being +1.  They're related to
31       the triangular numbers (Math::NumSeq::Triangular) in that each run
32       starts at index i=Triangular+1, ie. i=1,2,4,7,11,etc.
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34       "1to2N" is related to the pronic numbers (Math::NumSeq::Pronic) in that
35       each run starts at index i=Pronic+1, ie. i=1,3,7,13,etc.
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37       "1toFib" not only runs up to each Fibonacci number
38       (Math::NumSeq::Fibonacci), but the runs start at i=Fibonacci too, ie.
39       i=1,2,3,5,8,13,etc.  This arises because the cumulative total of
40       Fibonacci numbers has F[1]+F[2]+...+F[k]+1 = F[k+2].
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FUNCTIONS

43       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
44       classes.
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46       "$seq = Math::NumSeq::Runs->new (runs_type => $str)"
47           Create and return a new sequence object.
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49   Random Access
50       "$value = $seq->ith($i)"
51           Return the $i'th value from the sequence.
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53       "$bool = $seq->pred($value)"
54           Return true if $value occurs in the sequence.  This is merely all
55           integer "$value >= 0" or ">= 1" according to the start of the
56           "runs_type".
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SEE ALSO

59       Math::NumSeq, Math::NumSeq::AllDigits
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HOME PAGE

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

65       Copyright 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2019 Kevin Ryde
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67       Math-NumSeq is free software; you can redistribute it and/or modify it
68       under the terms of the GNU General Public License as published by the
69       Free Software Foundation; either version 3, or (at your option) any
70       later version.
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72       Math-NumSeq is distributed in the hope that it will be useful, but
73       WITHOUT ANY WARRANTY; without even the implied warranty of
74       MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
75       General Public License for more details.
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77       You should have received a copy of the GNU General Public License along
78       with Math-NumSeq.  If not, see <http://www.gnu.org/licenses/>.
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82perl v5.32.0                      2020-07-28             Math::NumSeq::Runs(3)
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