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#!/usr/bin/perl -w
# Copyright 2012, 2013 Kevin Ryde
# This file is part of Math-PlanePath.
#
# Math-PlanePath 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-PlanePath 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-PlanePath. If not, see <http://www.gnu.org/licenses/>.
use 5.004;
use strict;
use Test;
plan tests => 57;
use lib 't','xt';
use MyTestHelpers;
BEGIN { MyTestHelpers::nowarnings(); }
use Math::PlanePath::Base::Digits
'parameter_info_array',
'bit_split_lowtohigh',
'digit_split_lowtohigh',
'digit_join_lowtohigh',
'round_down_pow';
my $have_64bits = ((1 << 63) != 0);
my $modulo_64bit_dodginess = ($have_64bits
&& ((~0)%2) != ((~0)&1));
my $skip_64bit = ($modulo_64bit_dodginess
? 'due to 64-bit modulo dodginess ((~0)%2) != ((~0)&1)'
: undef);
MyTestHelpers::diag ("modulo operator dodginess ((~0)%2) != ((~0)&1): ",
$modulo_64bit_dodginess ? "yes" : "no");
#------------------------------------------------------------------------------
# parameter_info_array()
{
my $aref = parameter_info_array();
ok (scalar(@$aref), 1);
ok ($aref->[0], Math::PlanePath::Base::Digits::parameter_info_radix2());
}
#------------------------------------------------------------------------------
# round_down_pow()
foreach my $elem ([ 1, 1,0 ],
[ 2, 1,0 ],
[ 3, 3,1 ],
[ 4, 3,1 ],
[ 5, 3,1 ],
[ 8, 3,1 ],
[ 9, 9,2 ],
[ 10, 9,2 ],
[ 26, 9,2 ],
[ 27, 27,3 ],
[ 28, 27,3 ],
) {
my ($n, $want_pow, $want_exp) = @$elem;
my ($got_pow, $got_exp)
= round_down_pow($n,3);
ok ($got_pow, $want_pow);
ok ($got_exp, $want_exp);
}
{
my $bad = 0;
foreach my $i (2 .. 200) {
my $p = 3**$i;
if ($p+1 <= $p
|| $p-1 >= $p
|| ($p % 3) != 0
|| (($p+1) % 3) != 1
|| (($p-1) % 3) != 2) {
MyTestHelpers::diag ("round_down_pow(3) tests stop for round-off at i=$i");
last;
}
{
my $n = $p-1;
my $want_pow = $p/3;
my $want_exp = $i-1;
my ($got_pow, $got_exp)
= round_down_pow($n,3);
if ($got_pow != $want_pow
|| $got_exp != $want_exp) {
MyTestHelpers::diag ("round_down_pow($n,3) i=$i prev got $got_pow,$want_pow want $got_exp,$want_exp");
$bad++;
}
}
{
my $n = $p;
my $want_pow = $p;
my $want_exp = $i;
my ($got_pow, $got_exp)
= round_down_pow($n,3);
if ($got_pow != $want_pow
|| $got_exp != $want_exp) {
MyTestHelpers::diag ("round_down_pow($n,3) i=$i exact got $got_pow,$want_pow want $got_exp,$want_exp");
$bad++;
}
}
{
my $n = $p+1;
my $want_pow = $p;
my $want_exp = $i;
my ($got_pow, $got_exp) = round_down_pow($n,3);
if ($got_pow != $want_pow
|| $got_exp != $want_exp) {
MyTestHelpers::diag ("round_down_pow($n,3) i=$i post $got_pow,$want_pow want $got_exp,$want_exp");
$bad++;
}
}
}
ok ($bad,0);
}
#------------------------------------------------------------------------------
# digit_split_lowtohigh()
ok (join(',',digit_split_lowtohigh(0,2)), '');
ok (join(',',digit_split_lowtohigh(13,2)), '1,0,1,1');
{
my $n = ~0;
foreach my $radix (2,3,4, 5, 6,7,8,9, 10, 16, 37) {
my @digits = digit_split_lowtohigh($n,$radix);
my $lowtwo = $n % ($radix * $radix);
my $lowmod = $lowtwo % $radix;
skip ($skip_64bit,
$digits[0], $lowmod,
"$n radix $radix lowest digit");
my $secondmod = ($lowtwo - ($lowtwo % $radix)) / $radix;
skip ($skip_64bit,
$digits[1], $secondmod,
"$n radix $radix second lowest digit");
}
}
{
my $uv_max = ~0;
my $ones = 1;
my @bits = digit_split_lowtohigh($uv_max,2);
foreach my $bit (@bits) {
$ones &&= $bit;
}
skip ($skip_64bit,
$ones, 1,
"~0 uv_max $uv_max should be all 1s");
if (! $ones) {
MyTestHelpers::diag ("~0 uv_max $uv_max is: ",
@bits);
}
}
#------------------------------------------------------------------------------
# bit_split_lowtohigh()
ok (join(',',bit_split_lowtohigh(0)), '');
ok (join(',',bit_split_lowtohigh(13)), '1,0,1,1');
{
my $uv_max = ~0;
my @bits = bit_split_lowtohigh($uv_max);
my $ones = 1;
foreach my $bit (@bits) {
$ones &&= $bit;
}
skip ($skip_64bit,
$ones, 1,
"bit_split_lowtohigh(uv_max=$uv_max) ".join(',',@bits));
}
#------------------------------------------------------------------------------
# digit_join_lowtohigh()
ok (digit_join_lowtohigh([1,2,3],10), 321);
# high zeros ok
ok (digit_join_lowtohigh([1,1,0],2), 3);
ok (digit_join_lowtohigh([1,1,0],8), 9);
ok (digit_join_lowtohigh([1,1,0],10), 11);
#------------------------------------------------------------------------------
1;
__END__
|
