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#!/usr/bin/perl -w
# Copyright 2012, 2013, 2018, 2019 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/>.
use 5.004;
use strict;
use Test;
plan tests => 5;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use MyOEIS;
use Math::PlanePath::ImaginaryBase;
use Math::PlanePath::Diagonals;
use Math::PlanePath::Base::Digits
'bit_split_lowtohigh';
#------------------------------------------------------------------------------
# A057300 -- N at transpose Y,X, radix=2
MyOEIS::compare_values
(anum => 'A057300',
func => sub {
my ($count) = @_;
my @got;
my $path = Math::PlanePath::ImaginaryBase->new;
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $path->xy_to_n ($x, $y);
push @got, $n;
}
return \@got;
});
#------------------------------------------------------------------------------
# A163327 -- N at transpose Y,X, radix=3
MyOEIS::compare_values
(anum => 'A163327',
func => sub {
my ($count) = @_;
my @got;
my $path = Math::PlanePath::ImaginaryBase->new (radix => 3);
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $path->xy_to_n ($x, $y);
push @got, $n;
}
return \@got;
});
#------------------------------------------------------------------------------
# A126006 -- N at transpose Y,X, radix=4
MyOEIS::compare_values
(anum => 'A126006',
func => sub {
my ($count) = @_;
my @got;
my $path = Math::PlanePath::ImaginaryBase->new (radix => 4);
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $path->xy_to_n ($x, $y);
push @got, $n;
}
return \@got;
});
#------------------------------------------------------------------------------
# A217558 -- N at transpose Y,X, radix=16
MyOEIS::compare_values
(anum => 'A217558',
func => sub {
my ($count) = @_;
my @got;
my $path = Math::PlanePath::ImaginaryBase->new (radix => 16);
for (my $n = $path->n_start; @got < $count; $n++) {
my ($x, $y) = $path->n_to_xy ($n);
($x, $y) = ($y, $x);
my $n = $path->xy_to_n ($x, $y);
push @got, $n;
}
return \@got;
});
#------------------------------------------------------------------------------
# A039724 -- negabinary positives -> index, written in binary
MyOEIS::compare_values
(anum => q{A039724},
func => sub {
my ($count) = @_;
my @got;
require Math::PlanePath::ZOrderCurve;
my $path = Math::PlanePath::ImaginaryBase->new;
my $zorder = Math::PlanePath::ZOrderCurve->new;
for (my $nega = 0; @got < $count; $nega++) {
my $n = $path->xy_to_n ($nega,0);
$n = delete_odd_bits($n);
push @got, to_binary($n);
}
return \@got;
});
sub delete_odd_bits {
my ($n) = @_;
my @bits = bit_split_lowtohigh($n);
my $bit = 1;
my $ret = 0;
while (@bits) {
if (shift @bits) {
$ret |= $bit;
}
shift @bits;
$bit <<= 1;
}
return $ret;
}
# or by string ...
# if (length($str) & 1) { $str = "0$str" }
# $str =~ s/.(.)/$1/g;
sub to_binary {
my ($n) = @_;
return ($n < 0 ? '-' : '') . sprintf('%b', abs($n));
}
#------------------------------------------------------------------------------
exit 0;
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