#!/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 => 6;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::LiouvilleFunction;
# 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 got=".(defined $got ? $got : '[undef]')
." 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 != $want) {
return "different pos=$i numbers got=$got want=$want";
}
}
return undef;
}
#------------------------------------------------------------------------------
# A055037 - cumulative 1,0
{
my $anum = 'A055037';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new (values_type => '1,0');
my @got;
my $total = 0;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$total += $value;
push @got, $total;
}
$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");
}
#------------------------------------------------------------------------------
# A002819 - cumulative 1,-1
{
my $anum = 'A002819';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new;
my @got = (0); # also n=0 value=0
my $total = 0;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$total += $value;
push @got, $total;
}
$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");
}
#------------------------------------------------------------------------------
# A072203 - cumulative -1,1
# initially positive, but eventually a(906180359)=-1
{
my $anum = 'A072203';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new (values_type => '-1,1');
my @got;
my $total = 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$total += $value;
push @got, $total;
}
$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");
}
#------------------------------------------------------------------------------
# A055038 - cumulative 0,1
{
my $anum = 'A055038';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new (values_type => '0,1');
my @got;
my $total = 0;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$total += $value;
push @got, $total;
}
$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");
}
#------------------------------------------------------------------------------
# A026424 - the -1 positions, odd number of primes
{
my $anum = 'A026424';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new;
my @got;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == -1) {
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");
}
#------------------------------------------------------------------------------
# A028260 - the +1 positions, even number of primes
{
my $anum = 'A028260';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::LiouvilleFunction->new;
my @got;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == 1) {
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");
}
#------------------------------------------------------------------------------
exit 0;