1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
|
# log_2() and log_10() are implementations of log2() and log10() that, just
# like the overloaded log() function, calculate their return value according
# to default precision and default rounding mode.
#
# sind() and cosd() work just like the overloaded sin() and cos() functions
# except that their argument is expressed in degrees, not radians.
#
# tangent() works just as you would expect the overloaded tan function to
# work if such overloading was available. That is, the argument is in
# radians and the return value is calculated to default precision using
# default rounding mode.
#
# tand() works just like tangent(), except that the given argument is in
# degrees.
use strict;
use warnings;
use Math::MPFR qw(:mpfr);
use Test::More;
my $input_prec = 128;
my $input = Rmpfr_init2($input_prec);
my $check = Math::MPFR->new();
Rmpfr_set_ui($input, 45, MPFR_RNDN);
Rmpfr_log2($check, $input, MPFR_RNDN);
my $log_2 = log_2($input);
cmp_ok($log_2, '==', $check, "log_2() ok");
cmp_ok(Rmpfr_get_prec($log_2), '==', 53, "log_2() prec ok");
Rmpfr_log10($check, $input, MPFR_RNDN);
my $log_10 = log_10($input);
cmp_ok($log_10, '==', $check, "log_10() ok");
cmp_ok(Rmpfr_get_prec($log_10), '==', 53, "log_10() prec ok");
if(Math::MPFR::MPFR_VERSION >= 262656) {
my $sind = sind($input);
cmp_ok($sind, '==', Math::MPFR->new(2) ** -0.5, "sind() ok");
cmp_ok(Rmpfr_get_prec($sind), '==', 53, "sind() prec ok");
}
else {
eval{my $sind = sind($input);};
like($@, qr/sind function requires mpfr\-4\.2\.0/, "sind function not available");
}
if(Math::MPFR::MPFR_VERSION >= 262656) {
my $cosd = cosd($input);
cmp_ok($cosd, '==', Math::MPFR->new(2) ** -0.5, "cosd() ok");
cmp_ok(Rmpfr_get_prec($cosd), '==', 53, "cosd() prec ok");
}
else {
eval{my $cosd = cosd($input);};
like($@, qr/cosd function requires mpfr\-4\.2\.0/, "cosd function not available");
}
if(Math::MPFR::MPFR_VERSION >= 262656) {
my $tand = tand($input);
cmp_ok($tand, '==', 1, "tand() ok");
cmp_ok(Rmpfr_get_prec($tand), '==', 53, "tand() prec ok");
for(1 .. 10) {
my $v = rand(360);
cmp_ok(abs(sind(Math::MPFR->new("$v"))), '==', abs(sind(Math::MPFR->new("-$v"))), "abs(sind($v) == abs(sind(-$v)");
cmp_ok(abs(cosd(Math::MPFR->new("$v"))), '==', abs(cosd(Math::MPFR->new("-$v"))), "abs(cosd($v) == abs(cosd(-$v)");
cmp_ok(abs(tand(Math::MPFR->new("$v"))), '==', abs(tand(Math::MPFR->new("-$v"))), "abs(tand($v) == abs(tand(-$v)");
}
# Next 3 tests should pass because "380.75" and "20.75" are exactly representable in base 2 and differ by
# exactly 360.0.
cmp_ok(sind(Math::MPFR->new('380.75')), '==', sind(Math::MPFR->new('20.75')), 'sind(380.75) == sind(20.75)');
cmp_ok(cosd(Math::MPFR->new('380.75')), '==', cosd(Math::MPFR->new('20.75')), 'cosd(380.75) == cosd(20.75)');
cmp_ok(tand(Math::MPFR->new('380.75')), '==', tand(Math::MPFR->new('20.75')), 'tand(380.75) == tand(20.75)');
# The next 3 tests should pass because "404.8" & "44.8" are NOT exactly representable in base 2 and
# (more to the point) 404.8 - 44.8 is not sufficiently close to 360.0 as to allow the respective
# sind()/cosd()/tand() calculations to provide identical results.
my $big = '404.8';
my $small = '44.8';
cmp_ok(sind(Math::MPFR->new($big)), '!=', sind(Math::MPFR->new($small)), "sind($big) != sind($small)");
cmp_ok(cosd(Math::MPFR->new($big)), '!=', cosd(Math::MPFR->new($small)), "cosd($big) != cosd($small)");
cmp_ok(tand(Math::MPFR->new($big)), '!=', tand(Math::MPFR->new($small)), "tand($big) != tand($small)");
}
else {
eval{my $tand = tand($input);};
like($@, qr/tand function requires mpfr\-4\.2\.0/, "tand function not available");
}
my $pi = Math::MPFR->new();
Rmpfr_const_pi($pi, MPFR_RNDN);
Rmpfr_tan($check, $pi / 2, MPFR_RNDN);
my $tan = tangent($pi / 2);
cmp_ok($tan, '==', $check, "tangent() ok");
cmp_ok(Rmpfr_get_prec($tan), '==', 53, "tangent() prec ok");
done_testing();
|
