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use strict;
use warnings;
use Math::MPFR qw(:mpfr);
use Test::More;
{
my $check = Rmpfr_init2(8);
my $s1 = '3.39e38';
my $rop1 = subnormalize_bfloat16($s1 );
Rmpfr_strtofr($check, $s1, 0, MPFR_RNDN);
cmp_ok(Rmpfr_get_prec($rop1), '==', 8, "ROP1 has precision of 8");
cmp_ok(Rmpfr_inf_p($rop1), '==', 0, "ROP1 is NOT Inf");
cmp_ok($rop1, '==', $check, "ROP1 is set to '3.39e38'");
Rmpfr_nextabove($check);
cmp_ok("$check", 'eq', '3.403e38', "nextabove is '3.403e38'");
$s1 = '-3.39e38';
my $rop2 = subnormalize_bfloat16($s1 );
Rmpfr_strtofr($check, $s1, 0, MPFR_RNDN);
cmp_ok(Rmpfr_get_prec($rop2), '==', 8, "ROP2 has precision of 8");
cmp_ok(Rmpfr_inf_p($rop2), '==', 0, "ROP2 is NOT Inf");
cmp_ok($rop2, '==', $check, "ROP2 is set to '-3.39e38'");
Rmpfr_nextbelow($check);
cmp_ok("$check", 'eq', '-3.403e38', "nextabove is '-3.403e38'");
$s1 = '3.403e38';
my $rop3 = subnormalize_bfloat16($s1 );
Rmpfr_strtofr($check, $s1, 0, MPFR_RNDN);
cmp_ok("$check", 'eq', '3.403e38', "CHECK has value of '3.403e38'");
cmp_ok(Rmpfr_get_prec($rop3), '==', 8, "ROP3 has precision of 8");
cmp_ok(Rmpfr_inf_p($rop3), '!=', 0, "ROP3 is Inf");
cmp_ok($rop3, '>', 0, "ROP3 is +Inf");
$s1 = '-3.403e38';
my $rop4 = subnormalize_bfloat16($s1 );
Rmpfr_strtofr($check, $s1, 0, MPFR_RNDN);
cmp_ok("$check", 'eq', '-3.403e38', "CHECK has value of '-3.403e38'");
cmp_ok(Rmpfr_get_prec($rop4), '==', 8, "ROP4 has precision of 8");
cmp_ok(Rmpfr_inf_p($rop4), '!=', 0, "ROP4 is Inf");
cmp_ok($rop4, '<', 0, "ROP4 is -Inf");
for my $m(1..25) {
cmp_ok(subnormalize_bfloat16("${m}e-41" ), '==', subnormalize_bfloat16(Math::MPFR->new("${m}e-41") ), "'${m}e-41'subnormalizes ok");
cmp_ok(subnormalize_bfloat16("-${m}e-41" ), '==', subnormalize_bfloat16(Math::MPFR->new("-${m}e-41") ), "'-${m}e-41'subnormalizes ok");
}
my $mpfr_denorm_min = Rmpfr_init2(8);
Rmpfr_strtofr($mpfr_denorm_min, '9.184e-41', 0, MPFR_RNDN);
my $mpfr_denorm_min_neg = Rmpfr_init2(8);
Rmpfr_strtofr($mpfr_denorm_min_neg, '-9.184e-41', 0, MPFR_RNDN);
my $mpfr_norm_max = Rmpfr_init2(8);
Rmpfr_strtofr($mpfr_norm_max, '3.39e38', 0, MPFR_RNDN);
my $mpfr_below_norm_max = Rmpfr_init2(8);
Rmpfr_strtofr($mpfr_below_norm_max, '3.39e38', 0, MPFR_RNDN);
Rmpfr_nextbelow($mpfr_below_norm_max);
cmp_ok(subnormalize_bfloat16("0b0.1p-133" ), '==', 0 , "'0b0.1p-133'as string subnormalizes ok");
cmp_ok( subnormalize_bfloat16(Math::MPFR->new("0b0.1p-133") ), '==', 0 , "'0b0.1p-133'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("-0b0.1p-133" ), '==', 0 , "'-0b0.1p-133'as string subnormalizes ok");
cmp_ok( subnormalize_bfloat16(Math::MPFR->new("-0b0.1p-133") ), '==', 0 , "'-0b0.1p-133'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("0b0.10111p-133" ), '==', $mpfr_denorm_min , "'0b0.10111p-133'as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("0b0.10111p-133") ), '==', $mpfr_denorm_min, "'0b0.10111p-133'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("-0b0.10111p-133" ), '==', $mpfr_denorm_min_neg , "'-0b0.10111p-133'as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("-0b0.10111p-133") ), '==', $mpfr_denorm_min_neg, "'-0b0.10111p-133'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("0b0.11p-133" ), '==', $mpfr_denorm_min , "'-0b0.11p-133' as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("0b0.11p-133") ), '==', $mpfr_denorm_min, "'0b0.11p-133'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("-0b0.11p-133" ), '==', $mpfr_denorm_min_neg , "'-0b0.11p-133' as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("-0b0.11p-133") ), '==', $mpfr_denorm_min_neg, "'-0b0.11p-133' as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("0b0.1111111p128" ), '==', $mpfr_below_norm_max , "'0b0.1111111p128'as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("0b0.1111111p128") ), '==', $mpfr_below_norm_max, "'0b0.1111111p128'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("-0b0.1111111p128" ), '==', -$mpfr_below_norm_max , "'-0b0.1111111p128'as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("-0b0.1111111p128") ), '==', -$mpfr_below_norm_max, "'-0b0.1111111p128'as mpfr object subnormalizes ok");
cmp_ok(subnormalize_bfloat16("0b0.11111111p128" ), '==', $mpfr_norm_max , "NORM_MAX as string subnormalizes ok");
cmp_ok(subnormalize_bfloat16(Math::MPFR->new("0b0.11111111p128") ), '==', $mpfr_norm_max, "NORM_MAX as mpfr object subnormalizes ok");
cmp_ok(Rmpfr_inf_p(subnormalize_bfloat16("0b0.111111111p128" )), '!=', 0 , "'0b0.111111111p128'as string subnormalizes ok");
cmp_ok(Rmpfr_inf_p(subnormalize_bfloat16(Math::MPFR->new("0b0.111111111p128") )), '!=', 0, "'0b0.111111111p128'as mpfr object subnormalizes ok");
cmp_ok(Rmpfr_inf_p(subnormalize_bfloat16("-0b0.111111111p128" )), '!=', 0 , "'-0b0.111111111p128'as string subnormalizes ok");
cmp_ok(Rmpfr_inf_p(subnormalize_bfloat16(Math::MPFR->new("-0b0.111111111p128") )), '!=', 0, "'-0b0.111111111p128'as mpfr object subnormalizes ok");
cmp_ok(Rmpfr_signbit(subnormalize_bfloat16("0b0.11111111p128" )), '==', 0 , "'0b0.11111111p128'as string subnormalizes ok");
cmp_ok(Rmpfr_signbit(subnormalize_bfloat16(Math::MPFR->new("0b0.11111111p128") )), '==', 0, "'0b0.11111111p128'as mpfr object subnormalizes ok");
cmp_ok(Rmpfr_signbit(subnormalize_bfloat16("-0b0.11111111p128" )), '!=', 0 , "'-0b0.11111111p128'as string subnormalizes ok");
cmp_ok(Rmpfr_signbit(subnormalize_bfloat16(Math::MPFR->new("-0b0.11111111p128") )), '!=', 0, "'-0b0.11111111p128'as mpfr object subnormalizes ok");
# 8-bit Bfloat16 denorm_min is 9.184e-41:
# 0x1p-133
# 9.184e-41
# 0.10000000E-132 (MPFR)
Rmpfr_strtofr($check, '9.184e-41', 10, MPFR_RNDN);
my $check_neg = Rmpfr_init2(8);
Rmpfr_strtofr($check_neg, '-9.184e-41', 10, MPFR_RNDN);
$s1 = '0b0.1000000000000001p-133'; # Double precision '4.5919149377459931e-41')
cmp_ok(subnormalize_bfloat16($s1 ), '==', $check, "0b0.1000000000000001p-133 ok");
cmp_ok(subnormalize_bfloat16("-$s1" ), '==', $check_neg, "-0b0.1000000000000001p-133 ok");
$s1 = '4.5919149377459931e-41';
cmp_ok(subnormalize_bfloat16($s1 ), '==', $check, "4.5919149377459931e-41 as string ok");
cmp_ok(subnormalize_bfloat16("-$s1" ), '==', $check_neg, "-4.5919149377459931e-41 as string ok");
cmp_ok(subnormalize_bfloat16($s1 + 0 ), '==', $check, "4.5919149377459931e-41 as NV ok");
cmp_ok(subnormalize_bfloat16(-($s1 + 0) ), '==', $check_neg, "-4.5919149377459931e-41 as NV ok");
}
if(MPFR_VERSION >= 262912) { # MPFR-4.3.0 or later
if(Math::MPFR::_have_bfloat16()) {
cmp_ok(Rmpfr_buildopt_bfloat16_p(), '==', 1, "MPFR library supports __bf16");
cmp_ok(Math::MPFR::_have_bfloat16(), '==', 1, "bfloat16 support is available && utilised");
my $op = sqrt(Math::MPFR->new(2));
my $nv = Rmpfr_get_bfloat16($op, MPFR_RNDN);
cmp_ok($op, '!=', $nv, "values no longer match");
my $op16 = Rmpfr_init2(8); # bfloat16 has 8 bits of precision.
Rmpfr_set_ui($op16, 2, MPFR_RNDN);
Rmpfr_sqrt($op16, $op16, MPFR_RNDN);
cmp_ok($nv, '==', $op16, "values match");
cmp_ok(unpack_bfloat16($nv, MPFR_RNDN), 'eq', '3FB5', 'hex unpacking of sqrt(2) is as expected');
my $inex = Rmpfr_set_bfloat16($op, $nv, MPFR_RNDN);
cmp_ok($inex, '==', 0, 'value set exactly');
cmp_ok($op, '==', $op16, 'values still match');
my $nan = unpack_bfloat16(Math::MPFR->new(), MPFR_RNDN);
my $ok = 0;
$ok = 1 if length($nan) == 4 && $nan =~ /^FF|^7F/i
&& Math::MPFR->new(substr($nan, -2, 2), 16) > 0x80;
cmp_ok($ok, '==' , 1, "NaN unpacks correctly");
warn "NaN unpacks incorrectly: got $nan\n" unless $ok;
Rmpfr_set_inf($op, 1);
my $pinf = unpack_bfloat16($op, MPFR_RNDN);
cmp_ok(uc($pinf), 'eq', '7F80', '+inf unpacks correctly');
Rmpfr_set_inf($op, -1);
my $ninf = unpack_bfloat16($op, MPFR_RNDN);
cmp_ok(uc($ninf), 'eq', 'FF80', '-inf unpacks correctly');
Rmpfr_set_zero($op, 1);
my $pzero = unpack_bfloat16($op, MPFR_RNDN);
cmp_ok($pzero, 'eq', '0000', '0 unpacks correctly');
Rmpfr_set_zero($op, -1);
my $nzero = unpack_bfloat16($op, MPFR_RNDN);
cmp_ok($nzero, 'eq', '8000', '-0 unpacks correctly');
eval { require Math::Bfloat16; };
unless($@) {
my $bf_1 = sqrt(Math::Bfloat16->new(2));
my $bf_2 = Math::Bfloat16->new();
my $mpfr = Rmpfr_init2(8);
Rmpfr_set_BFLOAT16($mpfr, $bf_1, MPFR_RNDN);
Rmpfr_get_BFLOAT16($bf_2, $mpfr, MPFR_RNDN);
cmp_ok(Math::Bfloat16::unpack_bf16_hex($bf_2), 'eq', '3FB5', 'Rmpfr_set_BFLOAT16 and Rmpfr_get_BFLOAT16 pass round trip');
}
}
else {
cmp_ok(Math::MPFR::_have_bfloat16(), '==', 0, "MPFR library support for bfloat16 is not utilised");
my ($op, $nv) = (Math::MPFR->new(), 0);
eval { $nv = Rmpfr_get_bfloat16($op, MPFR_RNDN);};
like($@, qr/^Perl interface to Rmpfr_get_bfloat16 not available/, 'Rmpfr_get_bfloat16: $@ set as expected');
eval { Rmpfr_set_bfloat16($op, $nv, MPFR_RNDN);};
like($@, qr/^Perl interface to Rmpfr_set_bfloat16 not available/, 'Rmpfr_set_bfloat16: $@ set as expected');
}
}
else {
cmp_ok(Rmpfr_buildopt_bfloat16_p(), '==', 0, "Rmpfr_buildopt_bfloat16_p() returns 0");
cmp_ok(Math::MPFR::_have_bfloat16(), '==', 0, "bfloat16 support is lacking");
my ($op, $nv) = (Math::MPFR->new(), 0);
eval { $nv = Rmpfr_get_bfloat16($op, MPFR_RNDN);};
like($@, qr/^Perl interface to Rmpfr_get_bfloat16 not available/, 'Rmpfr_get_bfloat16: $@ set as expected');
eval { Rmpfr_set_bfloat16($op, $nv, MPFR_RNDU);};
like($@, qr/^Perl interface to Rmpfr_set_bfloat16 not available/, 'Rmpfr_set_bfloat16: $@ set as expected');
}
done_testing();
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