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|
#!perl
BEGIN {
unless ($ENV{AUTHOR_TESTING}) {
print "1..0 # SKIP these tests are for testing by the author";
exit;
}
}
use strict;
use warnings;
use Test::More tests => 41301;
use Math::BigInt;
use Math::Complex;
use Scalar::Util;
my $inf = Math::Complex::Inf();
my $nan = $inf - $inf;
# Return 1 if the input argument is +inf or -inf, and "" otherwise.
sub isinf {
my $x = shift;
return $x == $inf || $x == -$inf;
}
# Return 1 if the input argument is a nan (Not-a-Number), and "" otherwise.
sub isnan {
my $x = shift;
return !($x <= 0 || $x > 0);
}
# Convert a Perl scalar to a Math::BigInt object. This function is used for
# consistent comparisons. For instance, a Not-a-Number might be stringified to
# 'nan', but Math::BigInt uses 'NaN'.
sub pl2mbi {
my $x = shift;
return Math::BigInt -> binf('+') if $x == $inf;
return Math::BigInt -> binf('-') if $x == -$inf;
return Math::BigInt -> bnan() if isnan($x);
return Math::BigInt -> new($x);
}
# Does a floored division (F-division).
sub fdiv {
die "Usage: fdiv X Y\n" if @_ != 2;
no integer;
my $x = shift; # numerator
my $y = shift; # denominator
# Convert Perl strings representing nan, +inf, and -inf into Perl numbers.
if ($x =~ /^\s*nan\s*$/i) {
$x = $nan;
} elsif ($x =~ /^\s*([+-]?)inf(inity)?\s*$/i) {
$x = $1 eq '-' ? -$inf : $inf;
}
if ($y =~ /^\s*nan\s*$/i) {
$y = $nan;
} elsif ($y =~ /^\s*([+-]?)inf(inity)?\s*$/i) {
$y = $1 eq '-' ? -$inf : $inf;
}
# If any input is nan, the output is nan.
if (isnan($x) || isnan($y)) {
return wantarray ? ($nan, $nan) : $nan;
}
# Divide by zero and modulo zero.
if ($y == 0) {
# Core Perl gives an "Illegal division by zero" error whenever the
# denominator is zero. Math::BigInt, however, has a different
# convention.
my $q = $x < 0 ? -$inf
: $x > 0 ? $inf
: $nan;
my $r = $x;
return wantarray ? ($q, $r) : $q;
}
# Numerator is +/-infinity, and denominator is non-zero.
if (isinf($x)) {
my $q = $x / $y;
my $r = $nan;
return wantarray ? ($q, $r) : $q;
if (isinf($y)) {
return wantarray ? ($nan, $nan) : $nan;
} else {
if (($x <=> 0) == ($y <=> 0)) {
return wantarray ? ($inf, $nan) : $inf;
} else {
return wantarray ? (-$inf, $nan) : -$inf;
}
}
}
# Denominator is +/- infinity, and the numerator is finite.
#
# Core Perl: 5 % Inf = 5
# -5 % -Inf = -5
# -5 % Inf = Inf
# 5 % -Inf = -Inf
if (isinf($y)) {
if ($x == 0 || ($x <=> 0) == ($y <=> 0)) {
return wantarray ? (0, $x) : 0;
} else {
return wantarray ? (-1, ($y <=> 0) * $inf) : -1;
}
}
# First do a truncated division.
my $q = int($x / $y);
my $r = $x - $y * $q;
if ($y > 0 && $r < 0 ||
$y < 0 && $r > 0)
{
$q -= 1;
$r += $y;
}
return wantarray ? ($q, $r) : $q;
}
# Tests where the invocand and the argument are two different objects.
#for my $num (-20 .. 20) {
# for my $den (-20 .. -1, 1 .. 20) {
for my $num (-$inf, -20 .. 20, $inf, $nan) {
for my $den (-$inf, -20 .. 20, $inf, $nan) {
# Compute expected output values.
my ($quo, $rem) = fdiv($num, $den);
#######################################################################
# bdiv() in list context.
#######################################################################
{
note(qq|\n(\$quo, \$rem) = | .
qq|Math::BigInt -> new("$num") -> bdiv("$den")\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
my $mbi_den = Math::BigInt -> new("$den");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
my $mbi_den_addr = Scalar::Util::refaddr($mbi_den);
# Compute actual output values.
my ($mbi_quo, $mbi_rem) = $mbi_num -> bdiv($mbi_den);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_den), 'Math::BigInt',
"class of denominator is still Math::BigInt");
is(ref($mbi_quo), 'Math::BigInt',
"class of quotient is Math::BigInt");
is(ref($mbi_rem), 'Math::BigInt',
"class of remainder is Math::BigInt");
# Check values.
is($mbi_quo, pl2mbi($quo), "$num / $den = $quo");
is($mbi_rem, pl2mbi($rem), "$num % $den = $rem");
is($mbi_den, pl2mbi($den), "value of denominator has not changed");
# Check addresses.
my $mbi_quo_addr = Scalar::Util::refaddr($mbi_quo);
my $mbi_rem_addr = Scalar::Util::refaddr($mbi_rem);
is($mbi_quo_addr, $mbi_num_addr,
"the quotient object is the numerator object");
ok($mbi_rem_addr != $mbi_num_addr &&
$mbi_rem_addr != $mbi_den_addr &&
$mbi_rem_addr != $mbi_quo_addr,
"the remainder object is neither the numerator," .
" denominator, nor quotient object");
}
#######################################################################
# bdiv() in scalar context.
#######################################################################
{
note(qq|\n\$quo = | .
qq|Math::BigInt -> new("$num") -> bdiv("$den")\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
my $mbi_den = Math::BigInt -> new("$den");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
my $mbi_den_addr = Scalar::Util::refaddr($mbi_den);
# Compute actual output values.
my $mbi_quo = $mbi_num -> bdiv($mbi_den);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_den), 'Math::BigInt',
"class of denominator is still Math::BigInt");
is(ref($mbi_quo), 'Math::BigInt',
"class of quotient is Math::BigInt");
# Check values.
is($mbi_quo, pl2mbi($quo), "$num / $den = $quo");
is($mbi_den, pl2mbi($den), "value of numerator has not changed");
# Check addresses.
my $mbi_quo_addr = Scalar::Util::refaddr($mbi_quo);
is($mbi_quo_addr, $mbi_num_addr,
"the quotient object is the numerator object");
}
#######################################################################
# bmod() (scalar context only).
#######################################################################
{
note(qq|\n\$quo = | .
qq|Math::BigInt -> new("$num") -> bmod("$den")\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
my $mbi_den = Math::BigInt -> new("$den");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
my $mbi_den_addr = Scalar::Util::refaddr($mbi_den);
# Compute actual output values.
my $mbi_rem = $mbi_num -> bmod($mbi_den);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_den), 'Math::BigInt',
"class of denominator is still Math::BigInt");
is(ref($mbi_rem), 'Math::BigInt',
"class of remainder is Math::BigInt");
# Check values.
is($mbi_rem, pl2mbi($rem), "$num % $den = $rem");
is($mbi_den, pl2mbi($den), "value of denominator has not changed");
# Check addresses.
my $mbi_rem_addr = Scalar::Util::refaddr($mbi_rem);
is($mbi_rem_addr, $mbi_num_addr,
"the remainder object is the numerator object");
}
}
}
# Tests where the invocand and the argument is the same object.
#for my $num (-$inf, -20 .. 20, $inf, $nan) {
for my $num (-$inf, -20 .. -1, 1 .. 20, $inf, $nan) {
# Compute expected output values.
my ($quo, $rem) = fdiv($num, $num);
#######################################################################
# bdiv() in list context.
#######################################################################
{
note(qq|\n\$x = Math::BigInt -> new("$num"); | .
qq|(\$quo, \$rem) = \$x -> bdiv("\$x")\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
# Compute actual output values.
my ($mbi_quo, $mbi_rem) = $mbi_num -> bdiv($mbi_num);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_quo), 'Math::BigInt',
"class of quotient is Math::BigInt");
is(ref($mbi_rem), 'Math::BigInt',
"class of remainder is Math::BigInt");
# Check values.
is($mbi_quo, pl2mbi($quo), "$num / $num = $quo");
is($mbi_rem, pl2mbi($rem), "$num % $num = $rem");
# Check addresses.
my $mbi_quo_addr = Scalar::Util::refaddr($mbi_quo);
my $mbi_rem_addr = Scalar::Util::refaddr($mbi_rem);
is($mbi_quo_addr, $mbi_num_addr,
"the quotient object is the numerator object");
ok($mbi_rem_addr != $mbi_num_addr &&
$mbi_rem_addr != $mbi_quo_addr,
"the remainder object is neither the numerator," .
" denominator, nor quotient object");
}
#######################################################################
# bdiv() in scalar context.
#######################################################################
{
note(qq|\n\$x = Math::BigInt -> new("$num"); | .
qq|\$quo = \$x -> bdiv(\$x)\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
# Compute actual output values.
my $mbi_quo = $mbi_num -> bdiv($mbi_num);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_quo), 'Math::BigInt',
"class of quotient is Math::BigInt");
# Check values.
is($mbi_quo, pl2mbi($quo), "$num / $num = $quo");
# Check addresses.
my $mbi_quo_addr = Scalar::Util::refaddr($mbi_quo);
is($mbi_quo_addr, $mbi_num_addr,
"the quotient object is the numerator object");
}
#######################################################################
# bmod() (scalar context only).
#######################################################################
{
note(qq|\n\$x = Math::BigInt -> new("$num") | .
qq|\$quo = \$x -> bmod(\$x)\n\n|);
# Input values as objects.
my $mbi_num = Math::BigInt -> new("$num");
# Get addresses for later tests.
my $mbi_num_addr = Scalar::Util::refaddr($mbi_num);
# Compute actual output values.
my $mbi_rem = $mbi_num -> bmod($mbi_num);
# Check classes.
is(ref($mbi_num), 'Math::BigInt',
"class of numerator is still Math::BigInt");
is(ref($mbi_rem), 'Math::BigInt',
"class of remainder is Math::BigInt");
# Check values.
is($mbi_rem, pl2mbi($rem), "$num % $num = $rem");
# Check addresses.
my $mbi_rem_addr = Scalar::Util::refaddr($mbi_rem);
is($mbi_rem_addr, $mbi_num_addr,
"the remainder object is the numerator object");
}
}
|
