#!/usr/bin/perl -w
# Copyright 2012, 2013 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 => 11;
use lib 't','xt';
use MyTestHelpers;
MyTestHelpers::nowarnings();
use MyOEIS;
use Math::NumSeq::DigitCount;
# uncomment this to run the ### lines
#use Smart::Comments '###';
sub numeq_array {
my ($a1, $a2) = @_;
if (! ref $a1 || ! ref $a2) {
return 0;
}
my $i = 0;
while ($i < @$a1 && $i < @$a2) {
if ($a1->[$i] ne $a2->[$i]) {
return 0;
}
$i++;
}
return (@$a1 == @$a2);
}
#------------------------------------------------------------------------------
# A052382 numbers without 0 digit
{
my $anum = 'A052382';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 10, digit => 0);
$seq->next; # skip i=0
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value == 0) {
push @got, $i;
}
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum");
}
#------------------------------------------------------------------------------
# A071858 count 1 bits, mod 3
{
my $anum = 'A071858';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 1);
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
push @got, $value % 3;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- count 1-bits, mod 3");
}
#------------------------------------------------------------------------------
# A077268 - num bases with at least one 0
{
my $anum = 'A077268';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
for (my $n = 1; @got < @$bvalues; $n++) {
my $count = 0;
foreach my $radix (2 .. $n) {
my $seq = Math::NumSeq::DigitCount->new (radix => $radix, digit => 0);
if ($seq->ith($n)) {
$count++;
}
}
push @got, $count;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- num bases with at least one 0");
}
#------------------------------------------------------------------------------
# A077266 - triangle count 0s in bases 2 to n
{
my $anum = 'A077266';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
OUTER: for (my $n = 1; ; $n++) {
foreach my $radix (2 .. $n) {
my $seq = Math::NumSeq::DigitCount->new (radix => $radix, digit => 0);
push @got, $seq->ith($n);
last OUTER if @got >= @$bvalues;
}
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- triangle count 0s in bases 2 to n");
}
#------------------------------------------------------------------------------
# A033093 - total count 0s in bases 2 to n+1
{
my $anum = 'A033093';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
for (my $n = 1; @got < @$bvalues; $n++) {
my $total = 0;
foreach my $radix (2 .. $n+1) {
my $seq = Math::NumSeq::DigitCount->new (radix => $radix, digit => 0);
$total += $seq->ith($n);
}
push @got, $total;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- total count 0s in bases 2 to n+1");
}
#------------------------------------------------------------------------------
# A059015 - cumulative 0-bit count
{
my $anum = 'A059015';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 0);
my $cumulative = 1; # reckoning 0 as a single 0-bit, maybe
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$cumulative += $value;
push @got, $cumulative;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- cumulative 1-bit count");
}
#------------------------------------------------------------------------------
# A000788 - cumulative 1-bit count
{
my $anum = 'A000788';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 1);
my $cumulative = 0;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
$cumulative += $value;
push @got, $cumulative;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- cumulative 1-bit count");
}
#------------------------------------------------------------------------------
# A000069 - "odious", odd count of 1-bits
{
my $anum = 'A000069';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 1);
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value % 2) { # odd number of 1 bits
push @got, $i;
}
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- odious odd 1-bit count");
}
#------------------------------------------------------------------------------
# A001969 - "evil", even count of 1-bits
{
my $anum = 'A001969';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 1);
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
if ($value % 2 == 0) { # odd number of 1 bits
push @got, $i;
}
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- evil even 1-bit count");
}
#------------------------------------------------------------------------------
# A023416 - count 0-bits, but treating 0 as a single 0-bit
{
my $anum = 'A023416';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 0);
$seq->next;
push @got, 1;
while (@got < @$bvalues) {
my ($i, $value) = $seq->next;
push @got, $value;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- count 0-bits, with zero as a single 0-bits");
}
#------------------------------------------------------------------------------
# A159918 - count 1-bits in the squares
{
my $anum = 'A159918';
my ($bvalues, $lo, $filename) = MyOEIS::read_values($anum);
my @got;
if ($bvalues) {
my $seq = Math::NumSeq::DigitCount->new (radix => 2, digit => 1);
for (my $i = 0; @got < @$bvalues; $i++) {
push @got, $seq->ith($i*$i);;
}
if (! numeq_array(\@got, $bvalues)) {
MyTestHelpers::diag ("bvalues: ",join(',',@{$bvalues}[0..20]));
MyTestHelpers::diag ("got: ",join(',',@got[0..20]));
}
}
skip (! $bvalues,
numeq_array(\@got, $bvalues),
1, "$anum -- count 1-bits in the squares");
}
#------------------------------------------------------------------------------
exit 0;