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