1Math::NumSeq::RadixConvUesresrioCno(n3t)ributed Perl DocMuamtehn:t:aNtuimoSneq::RadixConversion(3)
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NAME

6       Math::NumSeq::RadixConversion -- radix conversion
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SYNOPSIS

9        use Math::NumSeq::RadixConversion;
10        my $seq = Math::NumSeq::RadixConversion->new (from_radix => 2,
11                                                      to_radix => 10);
12        my ($i, $value) = $seq->next;
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DESCRIPTION

15       This sequence is the index i converted from one radix to another.  The
16       default is from binary to decimal,
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18           0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, ...
19           starting i=0
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21       For example i=3 in binary is 0b11 which is interpreted as decimal for
22       value 11, ie. eleven.
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24       When "from_radix < to_radix" the effect is to give values which in
25       "to_radix" use only the digits of "from_radix".  The default is all
26       integers which in decimal use only the binary digits, ie. 0 and 1.
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28       When "from_radix > to_radix" the conversion is a reduction.  The
29       calculation is still a breakdown and re-assembly
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31           i = d[k]*from_radix^k + ... + d[1]*from_radix + d[0]
32           value = d[k]*to_radix^k + ... + d[1]*to_radix + d[0]
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34       but because "to_radix" is smaller the value is smaller than the index
35       i.  For example from_radix=10 and to_radix=8 turns i=345 into
36       value=3*8^2+4*8+5=229.
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FUNCTIONS

39       See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence
40       classes.
41
42       "$seq = Math::NumSeq::RadixConversion->new ()"
43       "$seq = Math::NumSeq::RadixConversion->new (from_radix => $r, to_radix
44       => $t)"
45           Create and return a new sequence object.
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47   Random Access
48       "$value = $seq->ith($i)"
49           Return $i as digits of base "radix" encoded in "to_radix".
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51       "$bool = $seq->pred($value)"
52           Return true if $value occurs in the sequence.
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54           If "to_radix <= from_radix" then all integer $value occurs.  If
55           "to_radix > from_radix" then $value written in "to_radix" must use
56           only digits 0 to "from_radix - 1" inclusive.
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SEE ALSO

59       Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::HarshadNumbers
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HOME PAGE

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

65       Copyright 2012, 2013, 2014, 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.
71
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.
76
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::RadixConversion(3)
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