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-rw-r--r--src/gauss.cpp11
-rw-r--r--test/gie/builtins.gie56
2 files changed, 62 insertions, 5 deletions
diff --git a/src/gauss.cpp b/src/gauss.cpp
index b7a27191..49ccfa1c 100644
--- a/src/gauss.cpp
+++ b/src/gauss.cpp
@@ -65,9 +65,14 @@ void *pj_gauss_ini(double e, double phi0, double *chi, double *rc) {
}
*chi = asin(sphi / en->C);
en->ratexp = 0.5 * en->C * e;
- en->K = tan(.5 * *chi + M_FORTPI) / (
- pow(tan(.5 * phi0 + M_FORTPI), en->C) *
- srat(en->e * sphi, en->ratexp) );
+ if( .5 * phi0 + M_FORTPI < 1e-10 ) {
+ en->K = 1.0 / srat(en->e * sphi, en->ratexp);
+ }
+ else {
+ en->K = tan(.5 * *chi + M_FORTPI) / (
+ pow(tan(.5 * phi0 + M_FORTPI), en->C) *
+ srat(en->e * sphi, en->ratexp) );
+ }
return ((void *)en);
}
diff --git a/test/gie/builtins.gie b/test/gie/builtins.gie
index 0c1a70b4..32aad873 100644
--- a/test/gie/builtins.gie
+++ b/test/gie/builtins.gie
@@ -4709,7 +4709,7 @@ Oblique Stereographic Alternative
===============================================================================
-------------------------------------------------------------------------------
-operation +proj=sterea +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
+operation +proj=sterea +ellps=GRS80
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
@@ -4732,7 +4732,7 @@ accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
-operation +proj=sterea +R=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
+operation +proj=sterea +R=6400000
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
@@ -4754,6 +4754,58 @@ expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
+-------------------------------------------------------------------------------
+operation +proj=sterea +ellps=GRS80 +lat_0=90
+-------------------------------------------------------------------------------
+tolerance 0.1 mm
+accept 0 90
+expect 0 0
+accept 0 89
+expect 0.000000000000 -111696.700323081997
+accept 0 45
+expect 0.000000000000 -5291160.727484324016
+accept 0 0
+expect 0.000000000000 -12713600.098641794175
+
+-------------------------------------------------------------------------------
+operation +proj=sterea +ellps=GRS80 +lat_0=89
+-------------------------------------------------------------------------------
+tolerance 0.1 mm
+accept 0 90
+expect 0.000000000000 111696.700314355621
+accept 0 89
+expect 0.000000000000 0
+accept 0 45
+expect 0.000000000000 -5160845.342319893651
+accept 0 0
+expect 0.000000000000 -12493602.143489977345
+
+-------------------------------------------------------------------------------
+operation +proj=sterea +ellps=GRS80 +lat_0=-90
+-------------------------------------------------------------------------------
+tolerance 0.1 mm
+accept 0 -90
+expect 0 0
+accept 0 -89
+expect 0.000000000000 111696.700323081997
+accept 0 -45
+expect 0.000000000000 5291160.727484324016
+accept 0 0
+expect 0.000000000000 12713600.098641794175
+
+-------------------------------------------------------------------------------
+operation +proj=sterea +ellps=GRS80 +lat_0=-89
+-------------------------------------------------------------------------------
+tolerance 0.1 mm
+accept 0 -90
+expect 0.000000000000 -111696.700314355621
+accept 0 -89
+expect 0.000000000000 0
+accept 0 -45
+expect 0.000000000000 5160845.342319893651
+accept 0 0
+expect 0.000000000000 12493602.143489977345
+
===============================================================================
Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)