SYN SYN

[p5sagit/p5-mst-13.2.git] / t / lib / trig.t

diff --git a/t/lib/trig.t b/t/lib/trig.t
index 57746fd..6949622 100755 (executable)
--- a/t/lib/trig.t
+++ b/t/lib/trig.t
@@ -21,11 +21,16 @@ 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);
+    my $e = defined $_[2] ? $_[2] : $eps;
+    $_[1] ? (abs($_[0]/$_[1] - 1) < $e) : abs($_[0]) < $e;
 }
 
-print "1..6\n";
+print "1..23\n";
 
 $x = 0.9;
 print 'not ' unless (near(tan($x), sin($x) / cos($x)));
@@ -48,7 +53,127 @@ print 'not ' unless (near($y,  1.5707963267949) and
                     near($z, -1.31695789692482));
 print "ok 5\n";
 
-print 'not ' unless (near(deg_to_rad(90), pi/2));
+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";
+}
+
 # eof