diff --git a/test/algorithms/overlay/overlay_cases.hpp b/test/algorithms/overlay/overlay_cases.hpp
index 4799cc26d..5bf92351f 100644
--- a/test/algorithms/overlay/overlay_cases.hpp
+++ b/test/algorithms/overlay/overlay_cases.hpp
@@ -43,9 +43,16 @@ static std::string case_3[2] = {
         "POLYGON((1 1,1 4,4 4,4 1,1 1))" };
 
 static std::string case_3_sph[2] = {
-    "POLYGON((1 2,2 4.0012148518458881,4 3,3.0001521347633209 1.0003046174216719,1 2))",
-    "POLYGON((1 1,1 4,4 4,4 1,1 1))" };
+        "POLYGON((1 2,2 4.0012148518458881,4 3,3.0001521347633209 1.0003046174216719,1 2))",
+        "POLYGON((1 1,1 4,4 4,4 1,1 1))" };
 
+static std::string case_3_2[2] = {
+        "POLYGON((1 1,1 2,1 4,2 4,4 4,4 3,4 1,3 1,1 1))",
+        "POLYGON((1 1,1 4,4 4,4 1,1 1))" };
+
+static std::string case_3_2_sph[2] = {
+        "POLYGON((1 1,1 2,1 4,2 4.0012148518458881,4 4, 4 3,4 1,3.0001521347633209 1.0003046174216719,1 1))",
+        "POLYGON((1 1,1 4,4 4,4 1,1 1))" };
 
 static std::string case_4[2] = {
         "POLYGON((0 2,2 5,5 3,3 0,0 2))",
diff --git a/test/algorithms/relational_operations/covered_by/covered_by_sph.cpp b/test/algorithms/relational_operations/covered_by/covered_by_sph.cpp
index 7bb42e82b..cf3d0906e 100644
--- a/test/algorithms/relational_operations/covered_by/covered_by_sph.cpp
+++ b/test/algorithms/relational_operations/covered_by/covered_by_sph.cpp
@@ -32,6 +32,8 @@ void test_polygon_polygon()
                               false);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               true);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              true);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               false);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/disjoint/disjoint_sph.cpp b/test/algorithms/relational_operations/disjoint/disjoint_sph.cpp
index e10b28eb2..3d9ecd29c 100644
--- a/test/algorithms/relational_operations/disjoint/disjoint_sph.cpp
+++ b/test/algorithms/relational_operations/disjoint/disjoint_sph.cpp
@@ -34,6 +34,8 @@ void test_polygon_polygon()
                               false);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               false);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              false);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               false);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/equals/equals_sph.cpp b/test/algorithms/relational_operations/equals/equals_sph.cpp
index 1c699d194..05e8b8344 100644
--- a/test/algorithms/relational_operations/equals/equals_sph.cpp
+++ b/test/algorithms/relational_operations/equals/equals_sph.cpp
@@ -34,11 +34,8 @@ void test_polygon_polygon()
                               false);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               false);
-#ifdef BOOST_GEOMETRY_ENABLE_FAILING
-    test_geometry<poly, poly>("POLYGON((1 1,1 2,1 4,2 4.0012148518458881,4 4, 4 3,4 1,3.0001521347633209 1.0003046174216719,1 1))",
-                              "POLYGON((1 1,1 4,4 4,4 1,1 1))",
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
                               true);
-#endif
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               false);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/intersects/intersects_sph.cpp b/test/algorithms/relational_operations/intersects/intersects_sph.cpp
index 8cf15dfd4..4b935bff4 100644
--- a/test/algorithms/relational_operations/intersects/intersects_sph.cpp
+++ b/test/algorithms/relational_operations/intersects/intersects_sph.cpp
@@ -32,6 +32,8 @@ void test_polygon_polygon()
                               true);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               true);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              true);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               true);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/overlaps/overlaps_sph.cpp b/test/algorithms/relational_operations/overlaps/overlaps_sph.cpp
index ee79c87f4..79478ad3d 100644
--- a/test/algorithms/relational_operations/overlaps/overlaps_sph.cpp
+++ b/test/algorithms/relational_operations/overlaps/overlaps_sph.cpp
@@ -32,6 +32,8 @@ void test_polygon_polygon()
                               true);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               false);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              false);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               true);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/relate/relate_areal_areal_sph.cpp b/test/algorithms/relational_operations/relate/relate_areal_areal_sph.cpp
index 4901bf354..5475a8fe7 100644
--- a/test/algorithms/relational_operations/relate/relate_areal_areal_sph.cpp
+++ b/test/algorithms/relational_operations/relate/relate_areal_areal_sph.cpp
@@ -33,6 +33,8 @@ void test_polygon_polygon()
                               "212101212");
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               "2FF10F212");
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              "2FFF1FFF2");
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               "212101212");
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/touches/touches_sph.cpp b/test/algorithms/relational_operations/touches/touches_sph.cpp
index bacc2f62d..352a9bff1 100644
--- a/test/algorithms/relational_operations/touches/touches_sph.cpp
+++ b/test/algorithms/relational_operations/touches/touches_sph.cpp
@@ -32,6 +32,8 @@ void test_polygon_polygon()
                               false);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               false);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              false);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               false);
     test_geometry<poly, poly>(case_5[0], case_5[1],
diff --git a/test/algorithms/relational_operations/within/within_sph.cpp b/test/algorithms/relational_operations/within/within_sph.cpp
index e74652861..22761af98 100644
--- a/test/algorithms/relational_operations/within/within_sph.cpp
+++ b/test/algorithms/relational_operations/within/within_sph.cpp
@@ -32,6 +32,8 @@ void test_polygon_polygon()
                               false);
     test_geometry<poly, poly>(case_3_sph[0], case_3_sph[1],
                               true);
+    test_geometry<poly, poly>(case_3_2_sph[0], case_3_2_sph[1],
+                              true);
     test_geometry<poly, poly>(case_4[0], case_4[1],
                               false);
     test_geometry<poly, poly>(case_5[0], case_5[1],