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-rw-r--r--contrib/perl5/lib/Math/Trig.pm32
1 files changed, 20 insertions, 12 deletions
diff --git a/contrib/perl5/lib/Math/Trig.pm b/contrib/perl5/lib/Math/Trig.pm
index 924286d..492706c 100644
--- a/contrib/perl5/lib/Math/Trig.pm
+++ b/contrib/perl5/lib/Math/Trig.pm
@@ -7,13 +7,12 @@
require Exporter;
package Math::Trig;
+use 5.005_64;
use strict;
use Math::Complex qw(:trig);
-use vars qw($VERSION $PACKAGE
- @ISA
- @EXPORT @EXPORT_OK %EXPORT_TAGS);
+our($VERSION, $PACKAGE, @ISA, @EXPORT, @EXPORT_OK, %EXPORT_TAGS);
@ISA = qw(Exporter);
@@ -37,8 +36,8 @@ my @rdlcnv = qw(cartesian_to_cylindrical
%EXPORT_TAGS = ('radial' => [ @rdlcnv ]);
-use constant pi2 => 2 * pi;
-use constant pip2 => pi / 2;
+sub pi2 () { 2 * pi } # use constant generates warning
+sub pip2 () { pi / 2 } # use constant generates warning
use constant DR => pi2/360;
use constant RD => 360/pi2;
use constant DG => 400/360;
@@ -133,11 +132,11 @@ Math::Trig - trigonometric functions
=head1 SYNOPSIS
use Math::Trig;
-
+
$x = tan(0.9);
$y = acos(3.7);
$z = asin(2.4);
-
+
$halfpi = pi/2;
$rad = deg2rad(120);
@@ -259,7 +258,7 @@ complex numbers as results because the C<Math::Complex> takes care of
details like for example how to display complex numbers. For example:
print asin(2), "\n";
-
+
should produce something like this (take or leave few last decimals):
1.5707963267949-1.31695789692482i
@@ -273,10 +272,10 @@ and the imaginary part of approximately C<-1.317>.
$radians = deg2rad($degrees);
$radians = grad2rad($gradians);
-
+
$degrees = rad2deg($radians);
$degrees = grad2deg($gradians);
-
+
$gradians = deg2grad($degrees);
$gradians = rad2grad($radians);
@@ -409,7 +408,16 @@ To calculate the distance between London (51.3N 0.5W) and Tokyo (35.7N
$km = great_circle_distance(@L, @T, 6378);
The answer may be off by few percentages because of the irregular
-(slightly aspherical) form of the Earth.
+(slightly aspherical) form of the Earth. The used formula
+
+ lat0 = 90 degrees - phi0
+ lat1 = 90 degrees - phi1
+ d = R * arccos(cos(lat0) * cos(lat1) * cos(lon1 - lon01) +
+ sin(lat0) * sin(lat1))
+
+is also somewhat unreliable for small distances (for locations
+separated less than about five degrees) because it uses arc cosine
+which is rather ill-conditioned for values close to zero.
=head1 BUGS
@@ -426,7 +434,7 @@ an answer instead of giving a fatal runtime error.
=head1 AUTHORS
Jarkko Hietaniemi <F<jhi@iki.fi>> and
-Raphael Manfredi <F<Raphael_Manfredi@grenoble.hp.com>>.
+Raphael Manfredi <F<Raphael_Manfredi@pobox.com>>.
=cut
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