#!/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 List::Util 'max','min';
use Test;
plan tests => 12;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::DigitProductSteps;
# 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;
}
#------------------------------------------------------------------------------
# A034048 etc - values with digital root 0,1,...,9
{
foreach my $elem ([0,'A034048'],
[1,'A002275'], # repunits
[2,'A034049'],
[3,'A034050'],
[4,'A034051'],
[5,'A034052'],
[6,'A034053'],
[7,'A034054'],
[8,'A034055'],
[9,'A034056']) {
my ($root,$anum) = @$elem;
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 100_000);
my $diff;
if (! $bvalues) {
MyTestHelpers::diag ("$anum not available");
} else {
if ($anum eq 'A002275' && $bvalues->[0] == 0) {
# A002275 reckons 0 as a repunit, don't want that here
shift @$bvalues;
}
my $seq = Math::NumSeq::DigitProductSteps->new (values_type => 'root');
my @got;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == $root) {
### $value
push @got, $i;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..$#$bvalues]));
MyTestHelpers::diag ("got: ",join(',',@got[0..$#got]));
}
$root++;
}
skip (! $bvalues,
$diff, undef,
"$anum - digital root $root");
}
}
#------------------------------------------------------------------------------
# A014553 - maximum persistence for n digits
# cf A035927 counting 10-sets
# A046148 how many with maximal persistence
# A046149 smallest of those
# A046150 biggest of those
{
my $anum = 'A014553';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_count => 4);
my $diff;
if (! $bvalues) {
MyTestHelpers::diag ("$anum not available");
} else {
my $seq = Math::NumSeq::DigitProductSteps->new;
my @got = (1); # for some reason 1 to 9 reckoned as 1 iteration
my $len = 1;
while (@got < @$bvalues) {
my $max = 0;
foreach my $i (10**$len .. 10**($len+1)-1) {
$max = max ($max, $seq->ith($i));
}
push @got, $max;
$len++;
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..$#$bvalues]));
MyTestHelpers::diag ("got: ",join(',',@got[0..$#got]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A003001 - first of persistence n
{
my $anum = 'A003001';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 1_000_000);
my $diff;
if (! $bvalues) {
MyTestHelpers::diag ("$anum not available");
} else {
my $seq = Math::NumSeq::DigitProductSteps->new;
my @got;
my $target = 0;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == $target) {
push @got, $i;
$target++;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..$#$bvalues]));
MyTestHelpers::diag ("got: ",join(',',@got[0..$#got]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum - first of persistence n");
}
#------------------------------------------------------------------------------
exit 0;