diff --git a/liblwgeom/cunit/cu_ptarray.c b/liblwgeom/cunit/cu_ptarray.c
index 6078f54d7..ae2022e00 100644
--- a/liblwgeom/cunit/cu_ptarray.c
+++ b/liblwgeom/cunit/cu_ptarray.c
@@ -431,6 +431,24 @@ static void test_ptarray_desegmentize()
 	lwgeom_free(out);
 	lwfree(str);	
 
+	in = lwgeom_from_text("LINESTRING(10 10,0 10,0 0,10 0)");
+	out = lwgeom_desegmentize(in);
+	str = lwgeom_to_wkt(out, WKT_ISO, 8, NULL);
+	CU_ASSERT_STRING_EQUAL(str, "LINESTRING(10 10,0 10,0 0,10 0)");
+	printf("%s\n", str);
+	lwgeom_free(in);
+	lwgeom_free(out);
+	lwfree(str);
+
+	in = lwgeom_from_text("LINESTRING(0 0,10 0,10 10,0 10)");
+	out = lwgeom_desegmentize(in);
+	str = lwgeom_to_wkt(out, WKT_ISO, 8, NULL);
+	CU_ASSERT_STRING_EQUAL(str, "LINESTRING(0 0,10 0,10 10,0 10)");
+	printf("%s\n", str);
+	lwgeom_free(in);
+	lwgeom_free(out);
+	lwfree(str);
+
 	// See http://trac.osgeo.org/postgis/ticket/2412
 	in = lwgeom_from_text("LINESTRING(0 0, 1 1)");
 	out = lwgeom_desegmentize(in);
diff --git a/liblwgeom/lwsegmentize.c b/liblwgeom/lwsegmentize.c
index 47966e67a..dacf0074d 100644
--- a/liblwgeom/lwsegmentize.c
+++ b/liblwgeom/lwsegmentize.c
@@ -675,11 +675,11 @@ pta_desegmentize(POINTARRAY *points, int type, int srid)
 				lw_arc_center((POINT2D*)&first, (POINT2D*)&b, (POINT2D*)&a1, (POINT2D*)&center);
 				angle = lw_arc_angle((POINT2D*)&first, (POINT2D*)&center, (POINT2D*)&b);
         int p2_side = lw_segment_side((POINT2D*)&first, (POINT2D*)&a1, (POINT2D*)&b);
-        if ( p2_side != -1 ) angle = -angle; 
+        if ( p2_side >= 0 ) angle = -angle; 
 
 				if ( angle < 0 ) angle = 2 * M_PI + angle;
 				num_quadrants = ( 4 * angle ) / ( 2 * M_PI );
-				LWDEBUGF(4, "arc angle is %g, quandrants:%g", angle, num_quadrants);
+				LWDEBUGF(4, "arc angle (%g %g, %g %g, %g %g) is %g (side is %d), quandrants:%g", first.x, first.y, center.x, center.y, b.x, b.y, angle, p2_side, num_quadrants);
 			}
 			/* a1 is first point, b is last point */
 			if ( arc_edges < min_quad_edges * num_quadrants ) {