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# Test file for Rmpfr_sinu(), Rmpfr_cosu(), Rmpfr_tanu(),
# and also for Rmpfr_sinpi(), Rmpfr_cospi() and Rmpfr_tanpi()
use strict;
use warnings;
use Config;
use Test::More;
use Math::MPFR qw(:mpfr);
# For testing, set mpfr default precision
# to the same value as NV precision
Rmpfr_set_default_prec($Math::MPFR::NV_properties{bits});
my $rop1 = Math::MPFR->new();
my $rop2 = Math::MPFR->new();
my $pinf = Math::MPFR->new();
Rmpfr_set_inf($pinf, 1);
my $ninf = $pinf * -1;
my $inex;
if(MPFR_VERSION() >= 262656) {
# Rmpfr_sinu() and Rmpfr_cosu are available
# With Rmpfr_sinu, when 2*$op divided by the third argument is an integer,
# $rop should be set to 0 (-0 if $op is negative).
$inex = Rmpfr_sinu($rop1, Math::MPFR->new(6), 3, MPFR_RNDN);
cmp_ok( "$rop1", 'eq', '0', 'Rmpfr_sinu: Get 0 when 2*$op/3 is +ve integer');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_sinu($rop1, Math::MPFR->new(-12), 4, MPFR_RNDN);
cmp_ok( "$rop1", 'eq', '-0', 'Rmpfr_sinu: Get -0 when 2*$op/4 is -ve integer');
cmp_ok($inex, '==', 0, 'result was exact');
# For Rmpfr_cosu, when 2*$op divided by the third argument is a half-integer,
# $rop should be set to zero, irrespective of the sign of $op.
$inex = Rmpfr_cosu($rop1, Math::MPFR->new(5), 4, MPFR_RNDN);
cmp_ok( "$rop1", 'eq', '0', 'Rmpfr_cosu: Get 0 when 2*$op/4 is a +ve half-integer');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_cosu($rop1, Math::MPFR->new(-6.5), 2, MPFR_RNDN);
cmp_ok( "$rop1", 'eq', '0', 'Rmpfr_cosu: Get 0 when 2*$op/2 is a -ve half-integer');
cmp_ok($inex, '==', 0, 'result was exact');
my $op1 = Math::MPFR->new(30);
my $op2 = Math::MPFR->new(60);
$inex = Rmpfr_sinu($rop1, $op1, 360, MPFR_RNDN);
cmp_ok( $rop1, '==', 0.5, "sine of 30 degrees is 0.5");
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_sinu($rop2, $op2, 360, MPFR_RNDN);
cmp_ok( $rop2, '==', sqrt(Math::MPFR->new(3)) / 2, "sine of 60 degrees is 0.5 * sqrt(3)");
cmp_ok($inex, '!=', 0, 'result was inexact');
$inex = Rmpfr_cosu($rop1, $op1, 360, MPFR_RNDN);
cmp_ok( $rop1, '==', $rop2, "cosine of 30 degrees == sine of 60 degrees");
cmp_ok($inex, '!=', 0, 'result was inexact');
$inex = Rmpfr_cosu($rop2, $op2, 360, MPFR_RNDN);
cmp_ok( $rop2, '==', 0.5, "cosine of 60 degrees is 0.5");
cmp_ok($inex, '==', 0, 'result was exact');
##
$inex = Rmpfr_tanu($rop2, Math::MPFR->new(45), 360, MPFR_RNDN);
cmp_ok( $rop2, '==', 1, "tan of 45 degrees is 1");
cmp_ok($inex, '==', 0, 'result was exact');
##
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(1), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '0', 'sinpi(1) is 0');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(-1), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '-0', 'sinpi(-1) is -0');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(0.5), MPFR_RNDN);
cmp_ok($rop1, '==', 1, 'sinpi(0.5) is 1');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(-0.5), MPFR_RNDN);
cmp_ok($rop1, '==', -1, 'sinpi(-0.5) is -1');
cmp_ok($inex, '==', 0, 'result was exact');
SKIP: {
skip 'This USE_QUADMATH build miscalculates sqrt(0.5) by 1ULP',
2 if ($Config{nvtype} eq '__float128'
&&
sprintf("%.36g", sqrt(2.0)) ne '1.41421356237309504880168872420969798'
);
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(0.25), MPFR_RNDN);
cmp_ok($rop1, '==', sqrt(Math::MPFR->new(0.5)), 'sinpi(0.25) == sqrt(0.5)');
cmp_ok($inex, '!=', 0, 'result was inexact');
$inex = Rmpfr_sinpi($rop1, Math::MPFR->new(-0.25), MPFR_RNDN);
cmp_ok($rop1, '==', -sqrt(Math::MPFR->new(0.5)), 'sinpi(0.25) == -sqrt(0.5)');
cmp_ok($inex, '!=', 0, 'result was inexact');
}
##
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(1), MPFR_RNDN);
cmp_ok($rop1, '==', -1, 'cospi(1) is -1');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(-1), MPFR_RNDN);
cmp_ok($rop1, '==', -1, 'cospi(-1) is -1');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(0.5), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '0', 'cospi(0.5) is 0');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(-0.5), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '0', 'cospi(-0.5) is 0');
cmp_ok($inex, '==', 0, 'result was exact');
SKIP: {
skip 'This USE_QUADMATH build miscalculates sqrt(0.5) by 1ULP',
2 if ($Config{nvtype} eq '__float128'
&&
sprintf("%.36g", sqrt(2.0)) ne '1.41421356237309504880168872420969798'
);
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(0.25), MPFR_RNDN);
cmp_ok($rop1, '==', sqrt(Math::MPFR->new(0.5)), 'cospi(0.25) == sqrt(0.5)');
cmp_ok($inex, '!=', 0, 'result was inexact');
$inex = Rmpfr_cospi($rop1, Math::MPFR->new(-0.25), MPFR_RNDN);
cmp_ok($rop1, '==', sqrt(Math::MPFR->new(0.5)), 'cospi(-0.25) == sqrt(0.5)');
cmp_ok($inex, '!=', 0, 'result was inexact');
};
##
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(1), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '-0', 'tanpi(1) is -0');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(-1), MPFR_RNDN);
cmp_ok("$rop1", 'eq', '0', 'tanpi(-1) is 0');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(0.5), MPFR_RNDN);
cmp_ok($rop1, '==', $pinf, 'tanpi(0.5) is +Inf');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(-0.5), MPFR_RNDN);
cmp_ok($rop1, '==', $ninf, 'tanpi(-0.5) is -Inf');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(0.25), MPFR_RNDN);
cmp_ok($rop1, '==', 1, 'tanpi(0.25) is 1');
cmp_ok($inex, '==', 0, 'result was exact');
$inex = Rmpfr_tanpi($rop1, Math::MPFR->new(-0.25), MPFR_RNDN);
cmp_ok($rop1, '==', -1, 'tanpi(-0.25) is -1');
cmp_ok($inex, '==', 0, 'result was exact');
Rmpfr_sinpi($rop1, Math::MPFR->new(0.25), MPFR_RNDN);
Rmpfr_sinu ($rop2, Math::MPFR->new(45), 360, MPFR_RNDN);
cmp_ok($rop1, '==', $rop2, "Rmpfr_sinu and Rmpfr_sinpi agree");
Rmpfr_rec_sqrt($rop1, Math::MPFR->new(2), MPFR_RNDN);
cmp_ok($rop1, '==', $rop2, "Rmpfr_rec_sqrt(2) == Rmpfr_sinu(2)");
##
my($s, $c) = (0, 0);
my $rop3 = Math::MPFR->new();
my $rop4 = Math::MPFR->new();
for(2 .. $Math::MPFR::NV_properties{bits}) {
next unless $_ % 11;
$s += 2 ** -$_;
$c = 0.5 - $s;
my $op1 = Math::MPFR->new($s);
my $op2 = Math::MPFR->new($c);
Rmpfr_sinpi($rop1, Math::MPFR->new($op1), MPFR_RNDN);
Rmpfr_cospi($rop2, Math::MPFR->new($op2), MPFR_RNDN);
cmp_ok($rop1, '==', $rop2, "$_: sinpi(x) == cospi(0.5 - x)");
Rmpfr_sinu($rop3, Math::MPFR->new($op1 * 180), 360, MPFR_RNDN);
Rmpfr_cosu($rop4, Math::MPFR->new($op2 * 180), 360, MPFR_RNDN);
cmp_ok($rop1, '==', $rop3, "$_: sinpi(x) == sinu(x * 180, 360)");
cmp_ok($rop2, '==', $rop4, "$_: cospi(x) == cosu(x * 180, 360)");
}
}
else {
# Rmpfr_sinu(), Rmpfr_cosu(), Rmpfr_tanu(), Rmpfr_sinpi(),
# Rmpfr_cospi and Rmpfr_tanpi() are all unavailable
eval{ Rmpfr_sinu($rop1, Math::MPFR->new(6), 3, MPFR_RNDN); };
like($@, qr/^Rmpfr_sinu function not implemented/, 'Rmpfr_sinu: $@ set as expected');
eval{ Rmpfr_cosu($rop1, Math::MPFR->new(6), 3, MPFR_RNDN); };
like($@, qr/^Rmpfr_cosu function not implemented/, 'Rmpfr_cosu: $@ set as expected');
eval{ Rmpfr_tanu($rop1, Math::MPFR->new(6), 3, MPFR_RNDN); };
like($@, qr/^Rmpfr_tanu function not implemented/, 'Rmpfr_tanu: $@ set as expected');
eval{ Rmpfr_sinpi($rop1, Math::MPFR->new(6), MPFR_RNDN); };
like($@, qr/^Rmpfr_sinpi function not implemented/, 'Rmpfr_sinpi: $@ set as expected');
eval{ Rmpfr_cospi($rop1, Math::MPFR->new(6), MPFR_RNDN); };
like($@, qr/^Rmpfr_cospi function not implemented/, 'Rmpfr_cospi: $@ set as expected');
eval{ Rmpfr_tanpi($rop1, Math::MPFR->new(6), MPFR_RNDN); };
like($@, qr/^Rmpfr_tanpi function not implemented/, 'Rmpfr_tanpi: $@ set as expected');
}
done_testing();
__END__
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