diff options
Diffstat (limited to 'lib/Math/Trig.t')
| -rwxr-xr-x | lib/Math/Trig.t | 200 |
1 files changed, 200 insertions, 0 deletions
diff --git a/lib/Math/Trig.t b/lib/Math/Trig.t new file mode 100755 index 0000000000..4246a47c40 --- /dev/null +++ b/lib/Math/Trig.t @@ -0,0 +1,200 @@ +#!./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 ($$;$) { + my $e = defined $_[2] ? $_[2] : $eps; + $_[1] ? (abs($_[0]/$_[1] - 1) < $e) : abs($_[0]) < $e; +} + +print "1..26\n"; + +$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"; +} + +{ + my $R2D = 57.295779513082320876798154814169; + + sub frac { $_[0] - int($_[0]) } + + my $lotta_radians = deg2rad(1E+20, 1); + print "not " unless near($lotta_radians, 1E+20/$R2D); + print "ok 21\n"; + + my $negat_degrees = rad2deg(-1E20, 1); + print "not " unless near($negat_degrees, -1E+20*$R2D); + print "ok 22\n"; + + my $posit_degrees = rad2deg(-10000, 1); + print "not " unless near($posit_degrees, -10000*$R2D); + print "ok 23\n"; +} + +{ + use Math::Trig 'great_circle_direction'; + + print 'not ' + unless (near(great_circle_direction(0, 0, 0, pi/2), pi)); + print "ok 24\n"; + + print 'not ' + unless (near(great_circle_direction(0, 0, pi, pi), -pi()/2)); + print "ok 25\n"; + + # London to Tokyo. + my @L = (deg2rad(-0.5), deg2rad(90 - 51.3)); + my @T = (deg2rad(139.8),deg2rad(90 - 35.7)); + + my $rad = great_circle_direction(@L, @T); + + print 'not ' unless (near($rad, -0.546644569997376)); + print "ok 26\n"; +} + +# eof |