#!/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 POSIX 'ceil';
use Test;
plan tests => 9;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::MephistoWaltz;
# 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;
}
#------------------------------------------------------------------------------
# A134391 - runs 0 to 3^k-1
{
my $anum = 'A134391';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
my $str = '';
my $target = 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($i == $target) {
$seq->rewind;
$target *= 3;
} else {
push @got, $value;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A064991 - replications as decimal bignums
{
my $anum = 'A064991';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
require Math::BigInt;
my $word = Math::BigInt->new(0);
my $target = 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($i == $target) {
push @got, $word;
$target *= 3;
}
$word = 2*$word + $value;
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A007051 - (3^n + 1)/2 zeros to i<3^n
{
my $anum = 'A007051';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
my $count = 0;
my $target = 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($i == $target) {
push @got, $count;
$target *= 3;
}
if ($value == 0) {
$count++;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A003462 - (3^n - 1)/2 ones to i<3^n
{
my $anum = 'A003462';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum,
max_value => 10000);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
my $count = 0;
my $target = 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($i == $target) {
push @got, $count;
$target *= 3;
}
if ($value == 1) {
$count++;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..9]));
MyTestHelpers::diag ("got: ",join(',',@got[0..9]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A156595 - xor diffs
{
my $anum = 'A156595';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
{
my $diff;
if ($bvalues) {
my $seq = Math::NumSeq::MephistoWaltz->new;
my @got;
my ($i, $prev) = $seq->next;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
push @got, $prev ^ $value;
$prev = $value;
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
sub ternary2s {
my ($n) = @_;
my $ret = 0;
while ($n) {
my $rem = $n % 3;
$n = ($n-$rem)/3;
if ($rem == 2) {
$ret ^= 1;
}
}
return $ret;
}
sub calc_A156595 {
my ($n) = @_;
# return ternary2s($n) ^ ternary2s($n+1);
# N+1 changes 2s once for each trailing 2 and then once more if 1-trit
# above that.
# ...1222..22 + 1 = ...2000..00
my $ret = 0;
for (;;) {
my $rem = $n % 3;
$n = ($n-$rem)/3;
if ($rem == 0) {
last;
}
if ($rem == 1) {
$ret ^= 1;
last;
}
if ($rem == 2) {
$ret ^= 1;
}
}
return $ret;
}
{
my $diff;
if ($bvalues) {
my @got;
for (my $n = 0; @got < @$bvalues; $n++) {
push @got, calc_A156595($n);
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
}
#------------------------------------------------------------------------------
# A189658 - positions of 0s, but n+1 so counting from value=1 for the first
{
my $anum = 'A189658';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == 0) {
push @got, $i + 1;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum -- positions of 0s");
}
#------------------------------------------------------------------------------
# A189659 - positions of 1s, but n+1 so counting from value=1 for the first
{
my $anum = 'A189659';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == 1) {
push @got, $i + 1;
}
}
$diff = diff_nums(\@got, $bvalues);
if ($diff) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
# A189660 - cumulative
{
my $anum = 'A189660';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my $diff;
if ($bvalues) {
my @got;
my $seq = Math::NumSeq::MephistoWaltz->new;
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..30]));
MyTestHelpers::diag ("got: ",join(',',@got[0..30]));
}
}
skip (! $bvalues,
$diff, undef,
"$anum");
}
#------------------------------------------------------------------------------
exit 0;