#!/usr/bin/perl -w
# Copyright 2012 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 '###';
sub diff_nums {
my ($gotaref, $wantaref) = @_;
for (my $i = 0; $i < @$gotaref; $i++) {
if ($i > @$wantaref) {
return "want ends prematurely pos=$i";
}
my $got = $gotaref->[$i];
my $want = $wantaref->[$i];
if (! defined $got && ! defined $want) {
next;
}
if (! defined $got || ! defined $want) {
return ("different pos=$i def/undef"
. "\n got=".(defined $got ? $got : '[undef]')
. "\n want=".(defined $want ? $want : '[undef]'));
}
$got =~ /^[0-9.-]+$/
or return "not a number pos=$i got='$got'";
$want =~ /^[0-9.-]+$/
or return "not a number pos=$i want='$want'";
if ($got ne $want) {
### $got
### $want
return ("different pos=$i numbers"
. "\n got=".(defined $got ? $got : '[undef]')
. "\n want=".(defined $want ? $want : '[undef]'));
}
}
return undef;
}
#------------------------------------------------------------------------------
# A029735 - cubes are hex palindromes
{
my $anum = 'A029735';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000);
my @got;
my $diff;
if ($bvalues) {
require Math::NumSeq::Cubes;
my $cubeseq = Math::NumSeq::Cubes->new;
my $palseq = Math::NumSeq::Palindromes->new (radix => 16);
while (@got < @$bvalues) {
my ($i, $value) = $cubeseq->next;
if ($palseq->pred($value)) {
push @got, $i;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A029736 - hex palindrome cubes
{
my $anum = 'A029736';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000**3);
my @got;
my $diff;
if ($bvalues) {
require Math::NumSeq::Cubes;
my $cubeseq = Math::NumSeq::Cubes->new;
my $palseq = Math::NumSeq::Palindromes->new (radix => 16);
while (@got < @$bvalues) {
my ($i, $value) = $cubeseq->next;
if ($palseq->pred($value)) {
push @got, $value;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A029731 - palindromes in both decimal and hexadecimal
{
my $anum = 'A029731';
my ($bvalues, $lo, $filename) = MyOEIS::read_values ($anum);
my @got;
my $diff;
if ($bvalues) {
my $dec = Math::NumSeq::Palindromes->new;
my $hex = Math::NumSeq::Palindromes->new (radix => 16);
while (@got < @$bvalues) {
my ($i, $value) = $dec->next;
if ($hex->pred($value)) {
push @got, $value;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A029733 - squares are hex palindromes
{
my $anum = 'A029733';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::Palindromes->new (radix => 16);
for (my $n = 0; @got < @$bvalues; $n++) {
if ($seq->pred($n*$n)) {
push @got, $n;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A029734 - hex palindrome squares
{
my $anum = 'A029734';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::Palindromes->new (radix => 16);
for (my $n = 0; @got < @$bvalues; $n++) {
my $square = $n*$n;
if ($seq->pred($square)) {
push @got, $square;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A137180 count of palindromes 1 to n
{
my $anum = 'A137180';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
my $diff;
if ($bvalues) {
my $palindromes = Math::NumSeq::Palindromes->new;
my $count = 0;
push @got, 0; # starting n=0 not considered a palindrome
for (my $n = 1; @got < @$bvalues; $n++) {
$count++ if $palindromes->pred($n);
push @got, $count;
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum -- palindromes which are primes");
}
#------------------------------------------------------------------------------
# A002385 Palindromes primes, decimal
{
my $anum = 'A002385';
my ($bvalues, $lo, $filename) = MyOEIS::read_values
($anum,
max_value => 0xFFFF_FFFF);
my @got;
my $diff;
if ($bvalues) {
my $palindromes = Math::NumSeq::Palindromes->new;
require Math::NumSeq::Primes;
my $primes = Math::NumSeq::Primes->new;
while (@got < @$bvalues) {
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;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum -- palindromes which are primes");
}
#------------------------------------------------------------------------------
# A029732 Palindromes primes, hexadecimal
{
my $anum = 'A029732';
my ($bvalues, $lo, $filename) = MyOEIS::read_values
($anum,
max_value => 0xFFFF_FFFF);
my @got;
my $diff;
if ($bvalues) {
my $palindromes = Math::NumSeq::Palindromes->new (radix => 16);
require Math::NumSeq::Primes;
my $primes = Math::NumSeq::Primes->new;
while (@got < @$bvalues) {
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;
}
}
$diff = diff_nums (\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum -- palindromes which are primes");
}
#------------------------------------------------------------------------------
exit 0;