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-rw-r--r--src/projections/ortho.cpp12
-rw-r--r--test/gie/builtins.gie62
2 files changed, 72 insertions, 2 deletions
diff --git a/src/projections/ortho.cpp b/src/projections/ortho.cpp
index d2d113ef..c334f398 100644
--- a/src/projections/ortho.cpp
+++ b/src/projections/ortho.cpp
@@ -261,8 +261,16 @@ static PJ_LP ortho_e_inverse (PJ_XY xy, PJ *P) { /* Ellipsoidal, inver
const double dphi = (J22 * dx - J12 * dy) / D;
const double dlam = (-J21 * dx + J11 * dy) / D;
lp.phi += dphi;
- if( lp.phi > M_PI_2) lp.phi = M_PI_2;
- else if( lp.phi < -M_PI_2) lp.phi = -M_PI_2;
+ if( lp.phi > M_PI_2)
+ {
+ lp.phi = M_PI_2 - (M_PI_2 - lp.phi);
+ lp.lam = adjlon(lp.lam + 180);
+ }
+ else if( lp.phi < -M_PI_2)
+ {
+ lp.phi = -M_PI_2 + (-M_PI_2 - lp.phi);
+ lp.lam = adjlon(lp.lam + 180);
+ }
lp.lam += dlam;
if( fabs(dphi) < 1e-12 && fabs(dlam) < 1e-12 )
{
diff --git a/test/gie/builtins.gie b/test/gie/builtins.gie
index 9cebec84..569ca812 100644
--- a/test/gie/builtins.gie
+++ b/test/gie/builtins.gie
@@ -4531,6 +4531,68 @@ tolerance 0.1 mm
accept 0 -6343600
expect 0 -59.966377950099655436
+# At pole or very close to it
+direction forward
+tolerance 0.1 mm
+accept 0 90
+expect 0 5523613.1150
+
+direction inverse
+tolerance 0.1 mm
+accept 0 5523613.1150
+expect 0 90
+
+direction forward
+tolerance 0.1 mm
+accept 0 89.99999999
+expect 0 5523613.1145
+roundtrip 1
+
+direction forward
+tolerance 0.1 mm
+accept 180 89.99999999
+expect 0 5523613.1156
+roundtrip 1
+
+direction forward
+tolerance 0.1 mm
+accept 90 89.99999999
+expect 0.0011 5523613.1150
+# Roundrip doesn't work on 32bit builds
+#roundtrip 1
+
+direction forward
+tolerance 0.1 mm
+accept -90 89.99999999
+expect -0.0011 5523613.1150
+roundtrip 1
+
+# Southern hemisphere
+operation +proj=ortho +ellps=WGS84 +lat_0=-30
+
+# At pole or very close to it
+direction forward
+tolerance 0.1 mm
+accept 0 -90
+expect 0 -5523613.1150
+
+direction inverse
+tolerance 0.1 mm
+accept 0 -5523613.1150
+expect 0 -90
+
+direction forward
+tolerance 0.1 mm
+accept 0 -89.99999999
+expect 0 -5523613.1145
+roundtrip 1
+
+direction forward
+tolerance 0.1 mm
+accept 180 -89.99999999
+expect 0 -5523613.1156
+roundtrip 1
+
-------------------------------------------------------------------------------
# Oblique
# Test case from https://github.com/OSGeo/PROJ/issues/2844