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# -*- mode: perl; -*-
use strict;
use warnings;
use Test::More tests => 32;
use Math::BigInt;
use Math::BigFloat;
my @k = (16, 32, 64, 128);
for my $k (@k) {
# Parameters specific to this format:
my $b = 2;
my $p = $k == 16 ? 11
: $k == 32 ? 24
: $k == 64 ? 53
: $k - sprintf("%.0f", 4 * log($k)/log(2)) + 13;
$b = Math::BigFloat -> new($b);
$k = Math::BigFloat -> new($k);
$p = Math::BigFloat -> new($p);
my $w = $k - $p;
my $emax = 2 ** ($w - 1) - 1;
my $emin = 1 - $emax;
my $format = 'binary' . $k;
note("\nComputing test data for k = $k ...\n\n");
my $binv = Math::BigFloat -> new("0.5");
my $data =
[
{
dsc => "one",
bin => "0"
. "0" . ("1" x ($w - 1))
. "0" x ($p - 1),
asc => "1",
obj => Math::BigInt -> new("1"),
},
{
dsc => "minus one",
bin => "1"
. "0" . ("1" x ($w - 1))
. "0" x ($p - 1),
asc => "-1",
obj => Math::BigInt -> new("-1"),
},
{
dsc => "two",
bin => "0"
. "1" . ("0" x ($w - 1))
. ("0" x ($p - 1)),
asc => "2",
obj => Math::BigInt -> new("2"),
},
{
dsc => "minus two",
bin => "1"
. "1" . ("0" x ($w - 1))
. ("0" x ($p - 1)),
asc => "-2",
obj => Math::BigInt -> new("-2"),
},
{
dsc => "positive zero",
bin => "0"
. ("0" x $w)
. ("0" x ($p - 1)),
asc => "+0",
obj => Math::BigInt -> new("0"),
},
{
dsc => "positive infinity",
bin => "0"
. ("1" x $w)
. ("0" x ($p - 1)),
asc => "+inf",
obj => Math::BigInt -> new("inf"),
},
{
dsc => "negative infinity",
bin => "1"
. ("1" x $w)
. ("0" x ($p - 1)),
asc => "-inf",
obj => Math::BigInt -> new("-inf"),
},
{
dsc => "NaN (encoding used by Perl on Cygwin)",
bin => "1"
. ("1" x $w)
. ("1" . ("0" x ($p - 2))),
asc => "NaN",
obj => Math::BigInt -> new("NaN"),
},
];
for my $entry (@$data) {
my $bin = $entry -> {bin};
my $bytes = pack "B*", $bin;
my $hex = unpack "H*", $bytes;
note("\n", $entry -> {dsc}, " (k = $k): ", $entry -> {asc}, "\n\n");
my $x = $entry -> {obj};
my $test = qq|Math::BigInt -> new("$x") -> to_ieee754("$format")|;
my $got_bytes = $x -> to_ieee754($format);
my $got_hex = unpack "H*", $got_bytes;
$got_hex =~ s/(..)/\\x$1/g;
my $expected_hex = $hex;
$expected_hex =~ s/(..)/\\x$1/g;
is($got_hex, $expected_hex);
}
}
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