161 lines
3.4 KiB
Perl
Executable File
161 lines
3.4 KiB
Perl
Executable File
#!./perl
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#
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# Regression tests for the Math::Trig package
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#
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# The tests are quite modest as the Math::Complex tests exercise
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# these quite vigorously.
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#
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# -- Jarkko Hietaniemi, April 1997
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BEGIN {
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chdir 't' if -d 't';
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unshift @INC, '../lib';
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}
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use Math::Trig;
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use strict;
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use vars qw($x $y $z);
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my $eps = 1e-11;
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if ($^O eq 'unicos') { # See lib/Math/Complex.pm and t/lib/complex.t.
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$eps = 1e-10;
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}
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sub near ($$;$) {
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abs($_[0] - $_[1]) < (defined $_[2] ? $_[2] : $eps);
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}
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print "1..20\n";
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$x = 0.9;
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print 'not ' unless (near(tan($x), sin($x) / cos($x)));
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print "ok 1\n";
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print 'not ' unless (near(sinh(2), 3.62686040784702));
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print "ok 2\n";
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print 'not ' unless (near(acsch(0.1), 2.99822295029797));
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print "ok 3\n";
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$x = asin(2);
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print 'not ' unless (ref $x eq 'Math::Complex');
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print "ok 4\n";
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# avoid using Math::Complex here
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$x =~ /^([^-]+)(-[^i]+)i$/;
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($y, $z) = ($1, $2);
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print 'not ' unless (near($y, 1.5707963267949) and
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near($z, -1.31695789692482));
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print "ok 5\n";
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print 'not ' unless (near(deg2rad(90), pi/2));
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print "ok 6\n";
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print 'not ' unless (near(rad2deg(pi), 180));
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print "ok 7\n";
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use Math::Trig ':radial';
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{
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my ($r,$t,$z) = cartesian_to_cylindrical(1,1,1);
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print 'not ' unless (near($r, sqrt(2))) and
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(near($t, deg2rad(45))) and
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(near($z, 1));
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print "ok 8\n";
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($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z);
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print 'not ' unless (near($x, 1)) and
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(near($y, 1)) and
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(near($z, 1));
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print "ok 9\n";
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($r,$t,$z) = cartesian_to_cylindrical(1,1,0);
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print 'not ' unless (near($r, sqrt(2))) and
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(near($t, deg2rad(45))) and
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(near($z, 0));
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print "ok 10\n";
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($x,$y,$z) = cylindrical_to_cartesian($r, $t, $z);
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print 'not ' unless (near($x, 1)) and
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(near($y, 1)) and
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(near($z, 0));
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print "ok 11\n";
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}
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{
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my ($r,$t,$f) = cartesian_to_spherical(1,1,1);
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print 'not ' unless (near($r, sqrt(3))) and
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(near($t, deg2rad(45))) and
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(near($f, atan2(sqrt(2), 1)));
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print "ok 12\n";
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($x,$y,$z) = spherical_to_cartesian($r, $t, $f);
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print 'not ' unless (near($x, 1)) and
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(near($y, 1)) and
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(near($z, 1));
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print "ok 13\n";
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($r,$t,$f) = cartesian_to_spherical(1,1,0);
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print 'not ' unless (near($r, sqrt(2))) and
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(near($t, deg2rad(45))) and
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(near($f, deg2rad(90)));
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print "ok 14\n";
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($x,$y,$z) = spherical_to_cartesian($r, $t, $f);
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print 'not ' unless (near($x, 1)) and
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(near($y, 1)) and
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(near($z, 0));
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print "ok 15\n";
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}
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{
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my ($r,$t,$z) = cylindrical_to_spherical(spherical_to_cylindrical(1,1,1));
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print 'not ' unless (near($r, 1)) and
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(near($t, 1)) and
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(near($z, 1));
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print "ok 16\n";
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($r,$t,$z) = spherical_to_cylindrical(cylindrical_to_spherical(1,1,1));
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print 'not ' unless (near($r, 1)) and
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(near($t, 1)) and
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(near($z, 1));
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print "ok 17\n";
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}
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{
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use Math::Trig 'great_circle_distance';
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print 'not '
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unless (near(great_circle_distance(0, 0, 0, pi/2), pi/2));
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print "ok 18\n";
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print 'not '
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unless (near(great_circle_distance(0, 0, pi, pi), pi));
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print "ok 19\n";
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# London to Tokyo.
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my @L = (deg2rad(-0.5), deg2rad(90 - 51.3));
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my @T = (deg2rad(139.8),deg2rad(90 - 35.7));
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my $km = great_circle_distance(@L, @T, 6378);
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print 'not ' unless (near($km, 9605.26637021388));
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print "ok 20\n";
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}
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# eof
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