Update to version 1.50 of the geodesic library.

* Allow arbitrarily complex polygons in geod_polygon_*.  In the case
  of self-intersecting polygons the area is accumulated
  "algebraically", e.g., the areas of the 2 loops in a figure-8
  polygon will partially cancel.
* Simplify code by using C99 functions remainder and remquo.
* More test coverage.

Fixes to associated files:

* src/pipeline.cpp invoke geod_init with f = es / (1 + sqrt(1 - es))
  instead of (the less accurate) f = 1 - sqrt(1 - es)
* src/apps/geod_set.cpp remove "#undef f" (a dangling relic?).

1 files changed, 4 insertions, 4 deletions

diff --git a/man/man3/geodesic.3 b/man/man3/geodesic.3
index c2d3d9df..9cfe9864 100644
--- a/man/man3/geodesic.3
+++ b/man/man3/geodesic.3
@@ -53,9 +53,9 @@ measure angles (latitudes, longitudes, and azimuths) in degrees, unlike
 the rest of the \fBproj\fR library, which uses radians.  The
 documentation for this library is included in geodesic.h.  A formatted
 version of the documentation is available at
-https://geographiclib.sourceforge.io/1.49/C.  Detailed documentation of
+https://geographiclib.sourceforge.io/1.50/C.  Detailed documentation of
 the interface is given at
-https://geographiclib.sourceforge.io/1.49/C/geodesic_8h.html.
+https://geographiclib.sourceforge.io/1.50/C/geodesic_8h.html.
 .SH EXAMPLE
 The following program reads in lines with the coordinates for two points
 in decimal degrees (\fIlat1\fR, \fIlon1\fR, \fIlat2\fR, \fIlon2\fR) and
@@ -89,9 +89,9 @@ libproj.a \- library of projections and support procedures
 .SH SEE ALSO
 Full online documentation for \fBgeodesic(3)\fR,
 .br
-https://geographiclib.sourceforge.io/1.49/C
+https://geographiclib.sourceforge.io/1.50/C
 .br
-https://geographiclib.sourceforge.io/1.49/C/geodesic_8h.html
+https://geographiclib.sourceforge.io/1.50/C/geodesic_8h.html
 .PP
 .B geod(1)
 .PP