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1 | #!./perl |
2 | |
3 | # |
4 | # Regression tests for the Math::Trig package |
5 | # |
6 | # The tests are quite modest as the Math::Complex tests exercise |
7 | # these quite vigorously. |
8 | # |
9 | # -- Jarkko Hietaniemi, April 1997 |
10 | |
11 | BEGIN { |
12 | chdir 't' if -d 't'; |
13 | @INC = '../lib'; |
14 | } |
15 | |
16 | use Math::Trig; |
17 | |
18 | use strict; |
19 | |
20 | use vars qw($x $y $z); |
21 | |
22 | my $eps = 1e-11; |
23 | |
24 | sub near ($$;$) { |
25 | abs($_[0] - $_[1]) < (defined $_[2] ? $_[2] : $eps); |
26 | } |
27 | |
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28 | print "1..20\n"; |
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29 | |
30 | $x = 0.9; |
31 | print 'not ' unless (near(tan($x), sin($x) / cos($x))); |
32 | print "ok 1\n"; |
33 | |
34 | print 'not ' unless (near(sinh(2), 3.62686040784702)); |
35 | print "ok 2\n"; |
36 | |
37 | print 'not ' unless (near(acsch(0.1), 2.99822295029797)); |
38 | print "ok 3\n"; |
39 | |
40 | $x = asin(2); |
41 | print 'not ' unless (ref $x eq 'Math::Complex'); |
42 | print "ok 4\n"; |
43 | |
44 | # avoid using Math::Complex here |
45 | $x =~ /^([^-]+)(-[^i]+)i$/; |
46 | ($y, $z) = ($1, $2); |
47 | print 'not ' unless (near($y, 1.5707963267949) and |
48 | near($z, -1.31695789692482)); |
49 | print "ok 5\n"; |
50 | |
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51 | print 'not ' unless (near(deg2rad(90), pi/2)); |
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52 | print "ok 6\n"; |
53 | |
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54 | print 'not ' unless (near(rad2deg(pi), 180)); |
55 | print "ok 7\n"; |
56 | |
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57 | use Math::Trig ':radial'; |
58 | |
59 | { |
60 | my ($r,$t,$z) = cartesian_to_cylindrical(1,1,1); |
61 | |
62 | print 'not ' unless (near($r, sqrt(2))) and |
63 | (near($t, deg2rad(45))) and |
64 | (near($z, 1)); |
65 | print "ok 8\n"; |
66 | |
67 | ($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z); |
68 | |
69 | print 'not ' unless (near($x, 1)) and |
70 | (near($y, 1)) and |
71 | (near($z, 1)); |
72 | print "ok 9\n"; |
73 | |
74 | ($r,$t,$z) = cartesian_to_cylindrical(1,1,0); |
75 | |
76 | print 'not ' unless (near($r, sqrt(2))) and |
77 | (near($t, deg2rad(45))) and |
78 | (near($z, 0)); |
79 | print "ok 10\n"; |
80 | |
81 | ($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z); |
82 | |
83 | print 'not ' unless (near($x, 1)) and |
84 | (near($y, 1)) and |
85 | (near($z, 0)); |
86 | print "ok 11\n"; |
87 | } |
88 | |
89 | { |
90 | my ($r,$t,$f) = cartesian_to_spherical(1,1,1); |
91 | |
92 | print 'not ' unless (near($r, sqrt(3))) and |
93 | (near($t, deg2rad(45))) and |
94 | (near($f, atan2(sqrt(2), 1))); |
95 | print "ok 12\n"; |
96 | |
97 | ($x,$y,$z) = spherical_to_cartesian($r, $t, $f); |
98 | |
99 | print 'not ' unless (near($x, 1)) and |
100 | (near($y, 1)) and |
101 | (near($z, 1)); |
102 | print "ok 13\n"; |
103 | |
104 | ($r,$t,$f) = cartesian_to_spherical(1,1,0); |
105 | |
106 | print 'not ' unless (near($r, sqrt(2))) and |
107 | (near($t, deg2rad(45))) and |
108 | (near($f, deg2rad(90))); |
109 | print "ok 14\n"; |
110 | |
111 | ($x,$y,$z) = spherical_to_cartesian($r, $t, $f); |
112 | |
113 | print 'not ' unless (near($x, 1)) and |
114 | (near($y, 1)) and |
115 | (near($z, 0)); |
116 | print "ok 15\n"; |
117 | } |
118 | |
119 | { |
120 | my ($r,$t,$z) = cylindrical_to_spherical(spherical_to_cylindrical(1,1,1)); |
121 | |
122 | print 'not ' unless (near($r, 1)) and |
123 | (near($t, 1)) and |
124 | (near($z, 1)); |
125 | print "ok 16\n"; |
126 | |
127 | ($r,$t,$z) = spherical_to_cylindrical(cylindrical_to_spherical(1,1,1)); |
128 | |
129 | print 'not ' unless (near($r, 1)) and |
130 | (near($t, 1)) and |
131 | (near($z, 1)); |
132 | print "ok 17\n"; |
133 | } |
134 | |
135 | { |
136 | use Math::Trig 'great_circle_distance'; |
137 | |
138 | print 'not ' |
139 | unless (near(great_circle_distance(0, 0, 0, pi/2), pi/2)); |
140 | print "ok 18\n"; |
141 | |
142 | print 'not ' |
143 | unless (near(great_circle_distance(0, 0, pi, pi), pi)); |
144 | print "ok 19\n"; |
145 | |
146 | # London to Tokyo. |
147 | my @L = (deg2rad(-0.5), deg2rad(90 - 51.3)); |
148 | my @T = (deg2rad(139.8),deg2rad(90 - 35.7)); |
149 | |
150 | my $km = great_circle_distance(@L, @T, 6378); |
151 | |
152 | print 'not ' unless (near($km, 9605.26637021388)); |
153 | print "ok 20\n"; |
154 | } |
155 | |
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156 | # eof |