Math::PlanePath::Base::Digits -- helpers for digit based paths
use Math::PlanePath::Base::Digits 'digit_split_lowtohigh'; foreach my $digit (digit_split_lowtohigh ($n, 16)) { }
This is a few generic helper functions for paths based on digits or powering.
They're designed to work on plain Perl integers and floats and there's some special case support for Math::BigInt
.
Nothing is exported by default but each function below can be as in the usual Exporter style,
use Math::PlanePath::Base::Digits 'round_down_pow';
(But not parameter_info_radix2()
, for the reason described below.)
($power, $exponent) = round_up_pow ($n, $radix)
($power, $exponent) = round_down_pow ($n, $radix)
Return the power of $radix
equal to or either higher or lower than $n
. For example
($pow, $exp) = round_down_pow (260, 2); # $pow==512 # the next higher power # $exp==9 # the exponent in that power # 2**9=512 is next above 260 ($pow, $exp) = round_down_pow (260, 2); # $pow==256 # the next lower power # $exp==8 # the exponent in that power # 2**8=256 is next below 260
@digits = digit_split_lowtohigh ($n, $radix)
@bits = bit_split_lowtohigh ($n)
Return a list of digits from $n
in base $radix
, or in binary. For example,
@digits = digit_split_lowtohigh (12345, 10); # @digits = (5,4,3,2,1) # decimal digits low to high
If $n==0
then the return is an empty list. The current code expects $n >= 0
.
"lowtohigh" in the name tries to make it clear which way the digits are returned. reverse()
can be used to get high to low instead (see "reverse" in perlfunc).
bit_split_lowtohigh()
is the same as digit_split_lowtohigh()
called with radix=2.
$n = digit_join_lowtohigh ($arrayref, $radix)
$n = digit_join_lowtohigh ($arrayref, $radix, $zero)
Return a value made by joining digits from $arrayref
in base $radix
. For example,
@digits = (5,4,3,2,1) # decimal digits low to high $n = digit_split_lowtohigh (\@digits, 10); # $n == 12345
Optional $zero
can be a 0 of an overloaded number type such as Math::BigInt
to give a returned $n
of that type.
$aref = parameter_info_array()
Return an arrayref of a radix
parameter, default 2. This is designed to be imported into a PlanePath subclass as its parameter_info_array()
method.
package Math::PlanePath::MySubclass; use Math::PlanePath::Base::Digits 'parameter_info_array';
The arrayref is
[ { name => 'radix', share_key => 'radix_2', display => 'Radix', type => 'integer', minimum => 2, default => 2, width => 3, description => 'Radix (number base).', } ]
$href = Math::PlanePath::Base::Digits::parameter_info_radix2()
Return the single radix
parameter hashref from the info above. This can be used when a subclass wants the radix parameter and other parameters too,
package Math::PlanePath::MySubclass; use constant parameter_info_array => [ { name => 'something_else', type => 'integer', default => '123', }, Math::PlanePath::Base::Digits::parameter_info_radix2(), ];
If the "description" part should be more specific or more detailed then it could be overridden with for example
{ %{Math::PlanePath::Base::Digits::parameter_info_radix2()}, description => 'Radix, for both something and something.', },
This function is not exportable since it's meant for a one-off call in an initializer and so no need to import it for repeated use.
Math::PlanePath, Math::PlanePath::Base::Generic
http://user42.tuxfamily.org/math-planepath/index.html
Copyright 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017 Kevin Ryde
This file is part of Math-PlanePath.
Math-PlanePath is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.
Math-PlanePath is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with Math-PlanePath. If not, see <http://www.gnu.org/licenses/>.