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use strict;
use warnings;
use Math::MPFR qw(:mpfr);
use Config;
use Test::More;
# For version 3 and earlier, minimum precision is 2.
# With version 4 and later of mpfr, minimum precision is 1.
# However, mpfr-4.0.0 and 4.0.1 are buggy when precision is 1,
# so we have the decimalize() function disallow precision of 1
# if the mpfr library version is less than 4.0.2.
my $prec_correction = 0;
$prec_correction++ if 262146 > MPFR_VERSION; # earlier than 4.0.2
if(Math::MPFR::MPFR_3_1_6_OR_LATER) {
like( decimalize(Math::MPFR->new()), '/^nan$/i',
'NaN decimalizes as expected');
if('inf' + 0 == 0) { # Can happen with older perls on MS Win32
like( decimalize(Math::MPFR->new(99 ** (99 ** 99))), '/^inf$/i',
'Inf decimalizes as expected');
like( decimalize(Math::MPFR->new(-(99 ** (99 ** 99)))), '/^\-inf$/i',
'-Inf decimalizes as expected');
}
else {
like( decimalize(Math::MPFR->new('inf' + 0)), '/^inf$/i',
'Inf decimalizes as expected');
like( decimalize(Math::MPFR->new('-inf' + 0)), '/^\-inf$/i',
'-Inf decimalizes as expected');
}
cmp_ok( decimalize(Math::MPFR->new(0)), 'eq', '0',
'0 decimalizes as expected');
cmp_ok( decimalize(Math::MPFR->new('-0')), 'eq', '-0',
'-0 decimalizes as expected');
cmp_ok( decimalize(Math::MPFR->new('0.1')),
'eq', '0.1000000000000000055511151231257827021181583404541015625',
'0.1 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1.7976931348623157e+308')),
Math::MPFR->new('1.7976931348623157e+308')), '==', 1,
'DBL_MAX decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-1.7976931348623157e+308')),
Math::MPFR->new('-1.7976931348623157e+308')), '==', 1,
'-DBL_MAX decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1' x 51, 2)),
Math::MPFR->new('1' x 51, 2)), '==', 1,
'2251799813685247.0 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 51), 2)),
Math::MPFR->new('-' . ('1' x 51), 2)), '==', 1,
'-2251799813685247.0 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1' x 52, 2)),
Math::MPFR->new('1' x 52, 2)), '==', 1,
'4.503599627370495e15 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 52), 2)),
Math::MPFR->new('-' . ('1' x 52), 2)), '==', 1,
'-4.503599627370495e15 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1' x 53, 2)),
Math::MPFR->new('1' x 53, 2)), '==', 1,
'9.007199254740991e15 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 53), 2)),
Math::MPFR->new('-' . ('1' x 53), 2)), '==', 1,
'-9.007199254740991e15 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1' x 54, 2)),
Math::MPFR->new('1' x 54, 2)), '==', 1,
'1.8014398509481984e16 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 54), 2)),
Math::MPFR->new('-' . ('1' x 54), 2)), '==', 1,
'-1.8014398509481984e16 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('1' x 55, 2)),
Math::MPFR->new('1' x 55, 2)), '==', 1,
'3.6028797018963968e16 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 55), 2)),
Math::MPFR->new('-' . ('1' x 55), 2)), '==', 1,
'-3.6028797018963968e16 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new(('1' x 53) . '0', 2)),
Math::MPFR->new(('1' x 53) . '0', 2)), '==', 1,
'3.6028797018963964e16 decimalizes as expected');
cmp_ok(check_exact_decimal(decimalize(Math::MPFR->new('-' . ('1' x 53) . '0', 2)),
Math::MPFR->new('-' . ('1' x 53) . '0', 2)), '==', 1,
'-3.6028797018963964e16 decimalizes as expected');
my $rand_max = 500;
$rand_max = 5000
if $Config{nvsize} > 8;
for my $v (1 .. 1290) {
my $exp = $v < 900 ? int(rand(25))
: int(rand($rand_max));
$exp = -$exp if $v % 3;
my $x = 1 + int(rand(99000));
my $z = 5 - length($x);
my $s1 = '0.' . ('0' x $z) . "${x}e${exp}";
my $s2 = int(rand(500)) . "." . ('0' x $z) . "${x}e${exp}";
my $s3 = '1' . ('0' x $z) . "${x}e${exp}";
unless($v % 5) {
for my $string($s1, $s2, $s3) { $string = '-' . $string }
}
my $prec;
$prec = $v < 10 ? $v
: 1 + int(rand(200));
eval {Rmpfr_set_default_prec($prec);};
if($prec_correction && $prec == 1 && 262144 > MPFR_VERSION) {
like( $@, qr/^Precision must be set to at least 2/, "precision of 1 is forbidden" );
next;
}
my $op1 = Math::MPFR->new($s1);
my $op2 = Math::MPFR->new($s2);
my $op3 = Math::MPFR->new($s3);
my $str1;
eval{ $str1 = decimalize($op1); };
if($prec_correction && $prec == 1 && 262146 > MPFR_VERSION) {
like( $@, qr/^Precision of 1 not allowed/, "precision of 1 is forbidden" );
next;
}
my $str2 = decimalize($op2);
my $str3 = decimalize($op3);
cmp_ok(check_exact_decimal($str1, $op1), '==', 1, "'$s1', at precision $prec, decimalized as expected");
cmp_ok(check_exact_decimal($str2, $op2), '==', 1, "'$s2', at precision $prec, decimalized as expected");
cmp_ok(check_exact_decimal($str3, $op3), '==', 1, "'$s3', at precision $prec, decimalized as expected");
my $len1 = significand_length($str1);
my $len1_c = decimalize($op1, undef); # return length as calculated inside decimalize()
cmp_ok($len1_c, '>=', $len1, "$str1: calculated length >= no. of significant digits");
cmp_ok($len1_c - $len1, '<=', 1, "$str1: calculated length - no. of significant digits <= 1");
my $len2 = significand_length($str2);
my $len2_c = decimalize($op2, undef); # return length as calculated inside decimalize()
cmp_ok($len2_c, '>=', $len2, "$str2: calculated length >= no. of significant digits");
cmp_ok($len2_c - $len2, '<=', 1, "$str2: calculated length - no. of significant digits <= 1");
my $len3 = significand_length($str3);
my $len3_c = decimalize($op3, undef); # return length as calculated inside decimalize()
cmp_ok($len3_c, '>=', $len3, "$str3: calculated length >= no. of significant digits");
cmp_ok($len3_c - $len3, '<=', 1, "$str3: calculated length - no. of significant digits <= 1");
}
cmp_ok(decimalize(Math::MPFR->new(0), undef), '==', 0, "Zero has 0 significand digits");
my $irregular = Math::MPFR->new();
cmp_ok(decimalize($irregular, undef), '==', 0, "NaN has 0 significand digits");
Rmpfr_set_inf($irregular, 1);
cmp_ok(decimalize($irregular, undef), '==', 0, "Inf has 0 significand digits");
Rmpfr_set_inf($irregular, -1);
cmp_ok(decimalize($irregular, undef), '==', 0, "-Inf has 0 significand digits");
Rmpfr_set_zero($irregular, 1);
cmp_ok(decimalize($irregular, undef), '==', 0, "Zero has 0 significand digits");
Rmpfr_set_zero($irregular, -1);
cmp_ok(decimalize($irregular, undef), '==', 0, "-0 has 0 significand digits");
}
else {
warn " Unable to validate decimalize() results.\n";
warn " check_exact_decimal() requires mpfr-3.1.6 or later.\n";
warn " Math::MPFR was built against mpfr-", MPFR_VERSION_STRING, ".";
eval { check_exact_decimal(decimalize(Math::MPFR->new(23.2))) };
ok( $@ =~ m/Math::MPFR was built against mpfr\-/, '$@ set as expected' );
}
done_testing();
sub significand_length {
my $s = shift;
$s =~ s/^\-//; # remove leading '-'
$s =~ s/\.// ; # remove radix point
$s =~ s/^0+//; # remove leading zeroes
return length( (split /e/i, $s)[0] );
}
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