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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'; |
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13 | unshift @INC, '../lib'; |
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14 | } |
15 | |
16 | use Math::Trig; |
17 | |
18 | use strict; |
19 | |
20 | use vars qw($x $y $z); |
21 | |
22 | my $eps = 1e-11; |
23 | |
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24 | if ($^O eq 'unicos') { # See lib/Math/Complex.pm and t/lib/complex.t. |
25 | $eps = 1e-10; |
26 | } |
27 | |
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28 | sub near ($$;$) { |
29 | abs($_[0] - $_[1]) < (defined $_[2] ? $_[2] : $eps); |
30 | } |
31 | |
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32 | print "1..20\n"; |
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33 | |
34 | $x = 0.9; |
35 | print 'not ' unless (near(tan($x), sin($x) / cos($x))); |
36 | print "ok 1\n"; |
37 | |
38 | print 'not ' unless (near(sinh(2), 3.62686040784702)); |
39 | print "ok 2\n"; |
40 | |
41 | print 'not ' unless (near(acsch(0.1), 2.99822295029797)); |
42 | print "ok 3\n"; |
43 | |
44 | $x = asin(2); |
45 | print 'not ' unless (ref $x eq 'Math::Complex'); |
46 | print "ok 4\n"; |
47 | |
48 | # avoid using Math::Complex here |
49 | $x =~ /^([^-]+)(-[^i]+)i$/; |
50 | ($y, $z) = ($1, $2); |
51 | print 'not ' unless (near($y, 1.5707963267949) and |
52 | near($z, -1.31695789692482)); |
53 | print "ok 5\n"; |
54 | |
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55 | print 'not ' unless (near(deg2rad(90), pi/2)); |
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56 | print "ok 6\n"; |
57 | |
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58 | print 'not ' unless (near(rad2deg(pi), 180)); |
59 | print "ok 7\n"; |
60 | |
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61 | use Math::Trig ':radial'; |
62 | |
63 | { |
64 | my ($r,$t,$z) = cartesian_to_cylindrical(1,1,1); |
65 | |
66 | print 'not ' unless (near($r, sqrt(2))) and |
67 | (near($t, deg2rad(45))) and |
68 | (near($z, 1)); |
69 | print "ok 8\n"; |
70 | |
71 | ($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z); |
72 | |
73 | print 'not ' unless (near($x, 1)) and |
74 | (near($y, 1)) and |
75 | (near($z, 1)); |
76 | print "ok 9\n"; |
77 | |
78 | ($r,$t,$z) = cartesian_to_cylindrical(1,1,0); |
79 | |
80 | print 'not ' unless (near($r, sqrt(2))) and |
81 | (near($t, deg2rad(45))) and |
82 | (near($z, 0)); |
83 | print "ok 10\n"; |
84 | |
85 | ($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z); |
86 | |
87 | print 'not ' unless (near($x, 1)) and |
88 | (near($y, 1)) and |
89 | (near($z, 0)); |
90 | print "ok 11\n"; |
91 | } |
92 | |
93 | { |
94 | my ($r,$t,$f) = cartesian_to_spherical(1,1,1); |
95 | |
96 | print 'not ' unless (near($r, sqrt(3))) and |
97 | (near($t, deg2rad(45))) and |
98 | (near($f, atan2(sqrt(2), 1))); |
99 | print "ok 12\n"; |
100 | |
101 | ($x,$y,$z) = spherical_to_cartesian($r, $t, $f); |
102 | |
103 | print 'not ' unless (near($x, 1)) and |
104 | (near($y, 1)) and |
105 | (near($z, 1)); |
106 | print "ok 13\n"; |
107 | |
108 | ($r,$t,$f) = cartesian_to_spherical(1,1,0); |
109 | |
110 | print 'not ' unless (near($r, sqrt(2))) and |
111 | (near($t, deg2rad(45))) and |
112 | (near($f, deg2rad(90))); |
113 | print "ok 14\n"; |
114 | |
115 | ($x,$y,$z) = spherical_to_cartesian($r, $t, $f); |
116 | |
117 | print 'not ' unless (near($x, 1)) and |
118 | (near($y, 1)) and |
119 | (near($z, 0)); |
120 | print "ok 15\n"; |
121 | } |
122 | |
123 | { |
124 | my ($r,$t,$z) = cylindrical_to_spherical(spherical_to_cylindrical(1,1,1)); |
125 | |
126 | print 'not ' unless (near($r, 1)) and |
127 | (near($t, 1)) and |
128 | (near($z, 1)); |
129 | print "ok 16\n"; |
130 | |
131 | ($r,$t,$z) = spherical_to_cylindrical(cylindrical_to_spherical(1,1,1)); |
132 | |
133 | print 'not ' unless (near($r, 1)) and |
134 | (near($t, 1)) and |
135 | (near($z, 1)); |
136 | print "ok 17\n"; |
137 | } |
138 | |
139 | { |
140 | use Math::Trig 'great_circle_distance'; |
141 | |
142 | print 'not ' |
143 | unless (near(great_circle_distance(0, 0, 0, pi/2), pi/2)); |
144 | print "ok 18\n"; |
145 | |
146 | print 'not ' |
147 | unless (near(great_circle_distance(0, 0, pi, pi), pi)); |
148 | print "ok 19\n"; |
149 | |
150 | # London to Tokyo. |
151 | my @L = (deg2rad(-0.5), deg2rad(90 - 51.3)); |
152 | my @T = (deg2rad(139.8),deg2rad(90 - 35.7)); |
153 | |
154 | my $km = great_circle_distance(@L, @T, 6378); |
155 | |
156 | print 'not ' unless (near($km, 9605.26637021388)); |
157 | print "ok 20\n"; |
158 | } |
159 | |
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160 | # eof |