#!/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 => 1;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::PrimeFactorCount;
# 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;
}
# No.
#
# #------------------------------------------------------------------------------
# # A000028 - count mod2 == 1
#
# {
# my $anum = 'A000028';
# my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
# my $diff;
# if ($bvalues) {
# my $seq = Math::NumSeq::PrimeFactorCount->new (values_type => 'mod2');
# my @got;
# while (@got < @$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");
# }
#
# #------------------------------------------------------------------------------
# # A000379 - count mod2 == 0
#
# {
# my $anum = 'A000028';
# my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
# my $diff;
# if ($bvalues) {
# my $seq = Math::NumSeq::PrimeFactorCount->new (values_type => 'mod2');
# my @got;
# while (@got < @$bvalues) {
# my ($i, $value) = $seq->next;
# if ($value == 0) {
# 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");
# }
#------------------------------------------------------------------------------
# A117360 - n and 2*n+1 have same prime factor count, with multiplicity
{
my $anum = 'A117360';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::PrimeFactorCount->new;
my @got;
for (my $n = 1; @got < @$bvalues; $n++) {
if ($seq->ith($n) == $seq->ith(2*$n+1)) {
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");
}
#------------------------------------------------------------------------------
# A030230 - distinct prime factor count odd
{
my $anum = 'A030230';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::PrimeFactorCount->new (multiplicity => 'distinct');
my @got;
while (@got < @$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 - count is odd");
}
#------------------------------------------------------------------------------
# A030231 - distinct prime factor count even
{
my $anum = 'A030231';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::PrimeFactorCount->new (multiplicity => 'distinct');
my @got;
while (@got < @$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 - count is even");
}
#------------------------------------------------------------------------------
exit 0;