#!/usr/bin/perl -w
# Copyright 2012, 2014 Kevin Ryde
# This file is part of Math-NumSeq.
#
# Math-NumSeq 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-NumSeq 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-NumSeq. If not, see <http://www.gnu.org/licenses/>.
use 5.004;
use strict;
use Test;
plan tests => 8;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::Palindromes;
# uncomment this to run the ### lines
#use Smart::Comments '###';
#------------------------------------------------------------------------------
# A118595 base-4 palindromes written in base-4
MyOEIS::compare_values
(anum => 'A118595',
func => sub {
my ($count) = @_;
require Math::BaseCnv;
my $seq = Math::NumSeq::Palindromes->new (radix => 4);
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
push @got, Math::BaseCnv::cnv($value,10,4);
}
return \@got;
});
# A048703 base-4 palindromes even length
MyOEIS::compare_values
(anum => 'A048703',
func => sub {
my ($count) = @_;
require Math::NumSeq::DigitLength;
my $seq = Math::NumSeq::Palindromes->new (radix => 4);
my $len = Math::NumSeq::DigitLength->new (radix => 4);
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
if ($value == 0 || $len->ith($value) % 2 == 0) {
push @got, $value;
}
}
return \@got;
});
# A048704 base-4 palindromes even length divide 5
MyOEIS::compare_values
(anum => 'A048704',
func => sub {
my ($count) = @_;
require Math::NumSeq::DigitLength;
my $seq = Math::NumSeq::Palindromes->new (radix => 4);
my $len = Math::NumSeq::DigitLength->new (radix => 4);
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
if ($value == 0 || $len->ith($value) % 2 == 0) {
push @got, $value / 5;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A206919 sum binary palindromes <= n
MyOEIS::compare_values
(anum => 'A206919',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::Palindromes->new (radix => 2);
my $total = 0;
my @got;
my ($i, $value) = $seq->next;
for (my $n = 0; @got < $count; $n++) {
if ($value <= $n) {
$total += $value;
($i, $value) = $seq->next;
}
push @got, $total;
}
return \@got;
});
#------------------------------------------------------------------------------
# A206920 cumulative binary palindromes, sum first n binary palindromes
MyOEIS::compare_values
(anum => 'A206920',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::Palindromes->new (radix => 2);
my $total = 0;
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
$total += $value;
push @got, $total;
}
return \@got;
});
#------------------------------------------------------------------------------
# A048700 binary palindromes odd length
MyOEIS::compare_values
(anum => 'A048700',
func => sub {
my ($count) = @_;
require Math::NumSeq::DigitLength;
my $seq = Math::NumSeq::Palindromes->new (radix => 2);
my $len = Math::NumSeq::DigitLength->new (radix => 2);
$seq->next; # not 0
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
if ($len->ith($value) % 2 == 1) {
push @got, $value;
}
}
return \@got;
});
# A048701 binary palindromes even length, including 0 as no digits
MyOEIS::compare_values
(anum => 'A048701',
func => sub {
my ($count) = @_;
require Math::NumSeq::DigitLength;
my $seq = Math::NumSeq::Palindromes->new (radix => 2);
my $len = Math::NumSeq::DigitLength->new (radix => 2);
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
if ($value == 0 || $len->ith($value) % 2 == 0) {
push @got, $value;
}
}
return \@got;
});
# A048702 binary palindromes even length divide 3
MyOEIS::compare_values
(anum => 'A048702',
func => sub {
my ($count) = @_;
require Math::NumSeq::DigitLength;
my $seq = Math::NumSeq::Palindromes->new (radix => 2);
my $len = Math::NumSeq::DigitLength->new (radix => 2);
my @got;
while (@got < $count) {
my ($i, $value) = $seq->next;
if ($value == 0 || $len->ith($value) % 2 == 0) {
push @got, $value/3;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029735 - cubes are hex palindromes
MyOEIS::compare_values
(anum => 'A029735',
max_value => 10000,
func => sub {
my ($count) = @_;
require Math::NumSeq::Cubes;
my $cubeseq = Math::NumSeq::Cubes->new;
my $palseq = Math::NumSeq::Palindromes->new (radix => 16);
my @got;
while (@got < $count) {
my ($i, $value) = $cubeseq->next;
if ($palseq->pred($value)) {
push @got, $i;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029736 - hex palindrome cubes
MyOEIS::compare_values
(anum => 'A029736',
max_value => 10000**3,
func => sub {
my ($count) = @_;
require Math::NumSeq::Cubes;
my $cubeseq = Math::NumSeq::Cubes->new;
my $palseq = Math::NumSeq::Palindromes->new (radix => 16);
my @got;
while (@got < $count) {
my ($i, $value) = $cubeseq->next;
if ($palseq->pred($value)) {
push @got, $value;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029731 - palindromes in both decimal and hexadecimal
MyOEIS::compare_values
(anum => 'A029731',
func => sub {
my ($count) = @_;
my $dec = Math::NumSeq::Palindromes->new;
my $hex = Math::NumSeq::Palindromes->new (radix => 16);
my @got;
while (@got < $count) {
my ($i, $value) = $dec->next;
if ($hex->pred($value)) {
push @got, $value;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029733 - squares are hex palindromes
MyOEIS::compare_values
(anum => 'A029733',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::Palindromes->new (radix => 16);
my @got;
for (my $n = 0; @got < $count; $n++) {
if ($seq->pred($n*$n)) {
push @got, $n;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029734 - hex palindrome squares
MyOEIS::compare_values
(anum => 'A029734',
func => sub {
my ($count) = @_;
my $seq = Math::NumSeq::Palindromes->new (radix => 16);
my @got;
for (my $n = 0; @got < $count; $n++) {
my $square = $n*$n;
if ($seq->pred($square)) {
push @got, $square;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A137180 count of palindromes 1 to n
MyOEIS::compare_values
(anum => 'A137180',
func => sub {
my ($count) = @_;
my $palindromes = Math::NumSeq::Palindromes->new;
my @got = (0); # starting n=0 not considered a palindrome
my $num_palindromes = 0;
for (my $n = 1; @got < $count; $n++) {
$num_palindromes++ if $palindromes->pred($n);
push @got, $num_palindromes;
}
return \@got;
});
#------------------------------------------------------------------------------
# A002385 Palindromes primes, decimal
MyOEIS::compare_values
(anum => 'A002385',
max_value => 0xFFFF_FFFF,
func => sub {
my ($count) = @_;
my $palindromes = Math::NumSeq::Palindromes->new;
require Math::NumSeq::Primes;
my $primes = Math::NumSeq::Primes->new;
my @got;
while (@got < $count) {
my ($i, $value) = $palindromes->next;
### $i
### $value
my $is_prime = $primes->pred($value);
if (! defined $is_prime) {
MyTestHelpers::diag (" too big at i=$i, value=$value");
last;
}
if ($is_prime) {
push @got, $value;
}
}
return \@got;
});
#------------------------------------------------------------------------------
# A029732 Palindromes primes, hexadecimal
MyOEIS::compare_values
(anum => 'A029732',
max_value => 0xFFFF_FFFF,
func => sub {
my ($count) = @_;
my $palindromes = Math::NumSeq::Palindromes->new (radix => 16);
require Math::NumSeq::Primes;
my $primes = Math::NumSeq::Primes->new;
my @got;
while (@got < $count) {
my ($i, $value) = $palindromes->next;
### $i
### $value
my $is_prime = $primes->pred($value);
if (! defined $is_prime) {
MyTestHelpers::diag (" too big at i=$i, value=$value");
last;
}
if ($is_prime) {
push @got, $value;
}
}
return \@got;
});
#------------------------------------------------------------------------------
exit 0;