uber · dfellis · Apr 7, 2021 · Oct 8, 2020 · Oct 8, 2020 · Oct 8, 2020
diff --git a/CMakeLists.txt b/CMakeLists.txt
@@ -105,8 +105,8 @@ set(LIB_SOURCE_FILES
     src/h3lib/include/polygon.h
     src/h3lib/include/polygonAlgos.h
     src/h3lib/include/h3Index.h
-    src/h3lib/include/h3UniEdge.h
-    src/h3lib/include/geoCoord.h
+    src/h3lib/include/directedEdge.h
+    src/h3lib/include/geoPoint.h
     src/h3lib/include/vec2d.h
     src/h3lib/include/vec3d.h
     src/h3lib/include/linkedGeo.h
@@ -128,8 +128,8 @@ set(LIB_SOURCE_FILES
     src/h3lib/lib/vertex.c
     src/h3lib/lib/linkedGeo.c
     src/h3lib/lib/localij.c
-    src/h3lib/lib/geoCoord.c
-    src/h3lib/lib/h3UniEdge.c
+    src/h3lib/lib/geoPoint.c
+    src/h3lib/lib/directedEdge.c
     src/h3lib/lib/mathExtensions.c
     src/h3lib/lib/vertexGraph.c
     src/h3lib/lib/faceijk.c
@@ -152,73 +152,73 @@ set(EXAMPLE_SOURCE_FILES
     examples/compact.c
     examples/edge.c)
 set(OTHER_SOURCE_FILES
-    src/apps/filters/h3ToGeo.c
+    src/apps/filters/cellToPoint.c
     src/apps/filters/h3ToLocalIj.c
     src/apps/filters/localIjToH3.c
     src/apps/filters/h3ToComponents.c
-    src/apps/filters/geoToH3.c
-    src/apps/filters/h3ToGeoBoundary.c
-    src/apps/filters/kRing.c
-    src/apps/filters/hexRange.c
+    src/apps/filters/pointToCell.c
+    src/apps/filters/cellToBoundary.c
+    src/apps/filters/gridDisk.c
+    src/apps/filters/gridDiskUnsafe.c
     src/apps/testapps/testVertexGraph.c
-    src/apps/testapps/testCompact.c
-    src/apps/testapps/testPolyfill.c
-    src/apps/testapps/testPolyfillReported.c
+    src/apps/testapps/testCompactCells.c
+    src/apps/testapps/testPolygonToCells.c
+    src/apps/testapps/testPolygonToCellsReported.c
     src/apps/testapps/testPentagonIndexes.c
-    src/apps/testapps/testKRing.c
-    src/apps/testapps/testH3ToGeoBoundary.c
-    src/apps/testapps/testH3ToParent.c
+    src/apps/testapps/testGridDisk.c
+    src/apps/testapps/testCellToBoundary.c
+    src/apps/testapps/testCellToParent.c
     src/apps/testapps/testH3Index.c
     src/apps/testapps/mkRandGeoBoundary.c
-    src/apps/testapps/testGeoToH3.c
+    src/apps/testapps/testPointToCell.c
     src/apps/testapps/testH3NeighborRotations.c
-    src/apps/testapps/testMaxH3ToChildrenSize.c
-    src/apps/testapps/testHexRanges.c
-    src/apps/testapps/testH3ToGeo.c
-    src/apps/testapps/testH3ToCenterChild.c
-    src/apps/testapps/testH3ToChildren.c
-    src/apps/testapps/testH3GetFaces.c
-    src/apps/testapps/testGeoCoord.c
-    src/apps/testapps/testHexRing.c
+    src/apps/testapps/testMaxCellToChildrenSize.c
+    src/apps/testapps/testGridDisksUnsafe.c
+    src/apps/testapps/testCellToPoint.c
+    src/apps/testapps/testCellToCenterChild.c
+    src/apps/testapps/testCellToChildren.c
+    src/apps/testapps/testGetIcosahedronFaces.c
+    src/apps/testapps/testGeoPoint.c
+    src/apps/testapps/testGridRingUnsafe.c
     src/apps/testapps/testH3SetToVertexGraph.c
     src/apps/testapps/testBBox.c
     src/apps/testapps/testVertex.c
     src/apps/testapps/testVertexExhaustive.c
     src/apps/testapps/testPolygon.c
     src/apps/testapps/testVec2d.c
     src/apps/testapps/testVec3d.c
-    src/apps/testapps/testH3UniEdge.c
-    src/apps/testapps/testH3UniEdgeExhaustive.c
+    src/apps/testapps/testDirectedEdge.c
+    src/apps/testapps/testDirectedEdgeExhaustive.c
     src/apps/testapps/testLinkedGeo.c
     src/apps/testapps/mkRandGeo.c
     src/apps/testapps/testH3Api.c
     src/apps/testapps/testH3SetToLinkedGeo.c
     src/apps/testapps/testH3ToLocalIj.c
     src/apps/testapps/testH3ToLocalIjExhaustive.c
-    src/apps/testapps/testH3Distance.c
-    src/apps/testapps/testH3DistanceExhaustive.c
-    src/apps/testapps/testH3Line.c
-    src/apps/testapps/testH3LineExhaustive.c
+    src/apps/testapps/testGridDistance.c
+    src/apps/testapps/testGridDistanceExhaustive.c
+    src/apps/testapps/testGridPathCells.c
+    src/apps/testapps/testGridPathCellsExhaustive.c
     src/apps/testapps/testH3CellArea.c
     src/apps/testapps/testH3CellAreaExhaustive.c
     src/apps/testapps/testCoordIj.c
     src/apps/testapps/testCoordIjk.c
     src/apps/testapps/testH3Memory.c
-    src/apps/miscapps/h3ToGeoBoundaryHier.c
-    src/apps/miscapps/h3ToGeoHier.c
+    src/apps/miscapps/cellToBoundaryHier.c
+    src/apps/miscapps/cellToPointHier.c
     src/apps/miscapps/generateBaseCellNeighbors.c
     src/apps/miscapps/generatePentagonDirectionFaces.c
     src/apps/miscapps/generateFaceCenterPoint.c
     src/apps/miscapps/h3ToHier.c
-    src/apps/fuzzers/fuzzerGeoToH3.c
-    src/apps/fuzzers/fuzzerH3ToGeo.c
-    src/apps/fuzzers/fuzzerKRing.c
-    src/apps/benchmarks/benchmarkPolyfill.c
+    src/apps/fuzzers/fuzzerPointToCell.c
+    src/apps/fuzzers/fuzzerCellToPoint.c
+    src/apps/fuzzers/fuzzerGridDisk.c
+    src/apps/benchmarks/benchmarkPolygonToCells.c
     src/apps/benchmarks/benchmarkPolygon.c
     src/apps/benchmarks/benchmarkH3SetToLinkedGeo.c
-    src/apps/benchmarks/benchmarkKRing.c
-    src/apps/benchmarks/benchmarkH3Line.c
-    src/apps/benchmarks/benchmarkH3UniEdge.c
+    src/apps/benchmarks/benchmarkGridDiskCells.c
+    src/apps/benchmarks/benchmarkGridPathCells.c
+    src/apps/benchmarks/benchmarkDirectedEdge.c
     src/apps/benchmarks/benchmarkVertex.c
     src/apps/benchmarks/benchmarkH3Api.c)
 
@@ -381,16 +381,16 @@ if(BUILD_FILTERS)
         list(APPEND INSTALL_TARGETS ${name})
     endmacro()
 
-    add_h3_filter(geoToH3 src/apps/filters/geoToH3.c ${APP_SOURCE_FILES})
+    add_h3_filter(pointToCell src/apps/filters/pointToCell.c ${APP_SOURCE_FILES})
     add_h3_filter(h3ToComponents src/apps/filters/h3ToComponents.c ${APP_SOURCE_FILES})
-    add_h3_filter(h3ToGeo src/apps/filters/h3ToGeo.c ${APP_SOURCE_FILES})
+    add_h3_filter(cellToPoint src/apps/filters/cellToPoint.c ${APP_SOURCE_FILES})
     add_h3_filter(h3ToLocalIj src/apps/filters/h3ToLocalIj.c ${APP_SOURCE_FILES})
     add_h3_filter(localIjToH3 src/apps/filters/localIjToH3.c ${APP_SOURCE_FILES})
-    add_h3_filter(h3ToGeoBoundary src/apps/filters/h3ToGeoBoundary.c ${APP_SOURCE_FILES})
-    add_h3_filter(hexRange src/apps/filters/hexRange.c ${APP_SOURCE_FILES})
-    add_h3_filter(kRing src/apps/filters/kRing.c ${APP_SOURCE_FILES})
-    add_h3_filter(h3ToGeoBoundaryHier src/apps/miscapps/h3ToGeoBoundaryHier.c ${APP_SOURCE_FILES})
-    add_h3_filter(h3ToGeoHier src/apps/miscapps/h3ToGeoHier.c ${APP_SOURCE_FILES})
+    add_h3_filter(cellToBoundary src/apps/filters/cellToBoundary.c ${APP_SOURCE_FILES})
+    add_h3_filter(gridDiskUnsafe src/apps/filters/gridDiskUnsafe.c ${APP_SOURCE_FILES})
+    add_h3_filter(gridDisk src/apps/filters/gridDisk.c ${APP_SOURCE_FILES})
+    add_h3_filter(cellToBoundaryHier src/apps/miscapps/cellToBoundaryHier.c ${APP_SOURCE_FILES})
+    add_h3_filter(cellToPointHier src/apps/miscapps/cellToPointHier.c ${APP_SOURCE_FILES})
     add_h3_filter(h3ToHier src/apps/miscapps/h3ToHier.c ${APP_SOURCE_FILES})
 
     # Generate KML files for visualizing the H3 grid
@@ -404,11 +404,11 @@ if(BUILD_FILTERS)
         set_property(DIRECTORY APPEND PROPERTY ADDITIONAL_MAKE_CLEAN_FILES "KML/res${resolution}cells.kml")
         set_property(DIRECTORY APPEND PROPERTY ADDITIONAL_MAKE_CLEAN_FILES "KML/res${resolution}centers.kml")
         add_custom_target(kml_cells_${resolution}
-            COMMAND ${SHELL} "$<TARGET_FILE:h3ToHier> -r ${resolution} | $<TARGET_FILE:h3ToGeoBoundary> --kml --kml-name res${resolution}cells.kml --kml-description \"Res ${resolution} Cells\" > KML/res${resolution}cells.kml"
+            COMMAND ${SHELL} "$<TARGET_FILE:h3ToHier> -r ${resolution} | $<TARGET_FILE:cellToBoundary> --kml --kml-name res${resolution}cells.kml --kml-description \"Res ${resolution} Cells\" > KML/res${resolution}cells.kml"
             VERBATIM
             DEPENDS create-kml-dir)
         add_custom_target(kml_centers_${resolution}
-            COMMAND ${SHELL} "$<TARGET_FILE:h3ToHier> -r ${resolution} | $<TARGET_FILE:h3ToGeo> --kml --kml-name res${resolution}centers.kml --kml-description \"Res ${resolution} Centers\" > KML/res${resolution}centers.kml"
+            COMMAND ${SHELL} "$<TARGET_FILE:h3ToHier> -r ${resolution} | $<TARGET_FILE:cellToPoint> --kml --kml-name res${resolution}centers.kml --kml-description \"Res ${resolution} Centers\" > KML/res${resolution}centers.kml"
             VERBATIM
             DEPENDS create-kml-dir)
         add_dependencies(kml
@@ -553,51 +553,51 @@ if(H3_IS_ROOT_PROJECT AND BUILD_TESTING)
     # Add each individual test
     file(GLOB all_centers tests/inputfiles/bc*centers.txt)
     foreach(file ${all_centers})
-        add_h3_test_with_file(testH3ToGeo src/apps/testapps/testH3ToGeo.c ${file})
+        add_h3_test_with_file(testPointToCell src/apps/testapps/testPointToCell.c ${file})
     endforeach()
 
     file(GLOB all_ic_files tests/inputfiles/res*ic.txt)
     foreach(file ${all_ic_files})
-        add_h3_test_with_file(testH3ToGeo src/apps/testapps/testH3ToGeo.c ${file})
+        add_h3_test_with_file(testCellToPoint src/apps/testapps/testCellToPoint.c ${file})
     endforeach()
 
     file(GLOB all_centers tests/inputfiles/rand*centers.txt)
     foreach(file ${all_centers})
-        add_h3_test_with_file(testGeoToH3 src/apps/testapps/testGeoToH3.c ${file})
+        add_h3_test_with_file(testPointToCell src/apps/testapps/testPointToCell.c ${file})
     endforeach()
 
     file(GLOB all_cells tests/inputfiles/*cells.txt)
     foreach(file ${all_cells})
-        add_h3_test_with_file(testH3ToGeoBoundary src/apps/testapps/testH3ToGeoBoundary.c ${file})
+        add_h3_test_with_file(testCellToBoundary src/apps/testapps/testCellToBoundary.c ${file})
     endforeach()
 
-    add_h3_test(testCompact src/apps/testapps/testCompact.c)
-    add_h3_test(testKRing src/apps/testapps/testKRing.c)
-    add_h3_test(testHexRing src/apps/testapps/testHexRing.c)
-    add_h3_test(testHexRanges src/apps/testapps/testHexRanges.c)
-    add_h3_test(testH3ToParent src/apps/testapps/testH3ToParent.c)
-    add_h3_test(testH3ToCenterChild src/apps/testapps/testH3ToCenterChild.c)
-    add_h3_test(testH3ToChildren src/apps/testapps/testH3ToChildren.c)
-    add_h3_test(testH3GetFaces src/apps/testapps/testH3GetFaces.c)
-    add_h3_test(testMaxH3ToChildrenSize src/apps/testapps/testMaxH3ToChildrenSize.c)
+    add_h3_test(testCompactCells src/apps/testapps/testCompactCells.c)
+    add_h3_test(testGridDisk src/apps/testapps/testGridDisk.c)
+    add_h3_test(testGridRingUnsafe src/apps/testapps/testGridRingUnsafe.c)
+    add_h3_test(testGridDisksUnsafe src/apps/testapps/testGridDisksUnsafe.c)
+    add_h3_test(testCellToParent src/apps/testapps/testCellToParent.c)
+    add_h3_test(testCellToCenterChild src/apps/testapps/testCellToCenterChild.c)
+    add_h3_test(testCellToChildren src/apps/testapps/testCellToChildren.c)
+    add_h3_test(testGetIcosahedronFaces src/apps/testapps/testGetIcosahedronFaces.c)
+    add_h3_test(testMaxCellToChildrenSize src/apps/testapps/testMaxCellToChildrenSize.c)
     add_h3_test(testH3Index src/apps/testapps/testH3Index.c)
     add_h3_test(testH3Api src/apps/testapps/testH3Api.c)
     add_h3_test(testH3SetToLinkedGeo src/apps/testapps/testH3SetToLinkedGeo.c)
     add_h3_test(testH3SetToVertexGraph src/apps/testapps/testH3SetToVertexGraph.c)
     add_h3_test(testLinkedGeo src/apps/testapps/testLinkedGeo.c)
-    add_h3_test(testPolyfill src/apps/testapps/testPolyfill.c)
-    add_h3_test(testPolyfillReported src/apps/testapps/testPolyfillReported.c)
+    add_h3_test(testPolygonToCells src/apps/testapps/testPolygonToCells.c)
+    add_h3_test(testPolygonToCellsReported src/apps/testapps/testPolygonToCellsReported.c)
     add_h3_test(testVertexGraph src/apps/testapps/testVertexGraph.c)
-    add_h3_test(testH3UniEdge src/apps/testapps/testH3UniEdge.c)
-    add_h3_test(testGeoCoord src/apps/testapps/testGeoCoord.c)
+    add_h3_test(testDirectedEdge src/apps/testapps/testDirectedEdge.c)
+    add_h3_test(testGeoPoint src/apps/testapps/testGeoPoint.c)
     add_h3_test(testBBox src/apps/testapps/testBBox.c)
     add_h3_test(testVertex src/apps/testapps/testVertex.c)
     add_h3_test(testPolygon src/apps/testapps/testPolygon.c)
     add_h3_test(testVec2d src/apps/testapps/testVec2d.c)
     add_h3_test(testVec3d src/apps/testapps/testVec3d.c)
     add_h3_test(testH3ToLocalIj src/apps/testapps/testH3ToLocalIj.c)
-    add_h3_test(testH3Distance src/apps/testapps/testH3Distance.c)
-    add_h3_test(testH3Line src/apps/testapps/testH3Line.c)
+    add_h3_test(testGridDistance src/apps/testapps/testGridDistance.c)
+    add_h3_test(testGridPathCells src/apps/testapps/testGridPathCells.c)
     add_h3_test(testH3CellArea src/apps/testapps/testH3CellArea.c)
     add_h3_test(testCoordIj src/apps/testapps/testCoordIj.c)
     add_h3_test(testCoordIjk src/apps/testapps/testCoordIjk.c)
@@ -610,11 +610,11 @@ if(H3_IS_ROOT_PROJECT AND BUILD_TESTING)
 
     # The "Exhaustive" part of the test name is used by the test-fast to exclude these files.
     # test-fast exists so that Travis CI can run Valgrind on tests without taking a very long time.
-    add_h3_test(testH3UniEdgeExhaustive src/apps/testapps/testH3UniEdgeExhaustive.c)
+    add_h3_test(testDirectedEdgeExhaustive src/apps/testapps/testDirectedEdgeExhaustive.c)
     add_h3_test(testVertexExhaustive src/apps/testapps/testVertexExhaustive.c)
     add_h3_test(testH3ToLocalIjExhaustive src/apps/testapps/testH3ToLocalIjExhaustive.c)
-    add_h3_test(testH3LineExhaustive src/apps/testapps/testH3LineExhaustive.c)
-    add_h3_test(testH3DistanceExhaustive src/apps/testapps/testH3DistanceExhaustive.c)
+    add_h3_test(testGridPathCellsExhaustive src/apps/testapps/testGridPathCellsExhaustive.c)
+    add_h3_test(testGridDistanceExhaustive src/apps/testapps/testGridDistanceExhaustive.c)
     add_h3_test(testH3CellAreaExhaustive src/apps/testapps/testH3CellAreaExhaustive.c)
 
     if(BUILD_ALLOC_TESTS)
@@ -634,9 +634,9 @@ if(BUILD_FUZZERS)
         add_dependencies(fuzzers ${name})
     endmacro()
 
-    add_h3_fuzzer(fuzzerGeoToH3 src/apps/fuzzers/fuzzerGeoToH3.c)
-    add_h3_fuzzer(fuzzerH3ToGeo src/apps/fuzzers/fuzzerH3ToGeo.c)
-    add_h3_fuzzer(fuzzerKRing src/apps/fuzzers/fuzzerKRing.c)
+    add_h3_fuzzer(fuzzerPointToCell src/apps/fuzzers/fuzzerPointToCell.c)
+    add_h3_fuzzer(fuzzerCellToPoint src/apps/fuzzers/fuzzerCellToPoint.c)
+    add_h3_fuzzer(fuzzerGridDisk src/apps/fuzzers/fuzzerGridDisk.c)
 endif()
 
 if(BUILD_BENCHMARKS)
@@ -650,12 +650,12 @@ if(BUILD_BENCHMARKS)
     endmacro()
 
     add_h3_benchmark(benchmarkH3Api src/apps/benchmarks/benchmarkH3Api.c)
-    add_h3_benchmark(benchmarkKRing src/apps/benchmarks/benchmarkKRing.c)
-    add_h3_benchmark(benchmarkH3Line src/apps/benchmarks/benchmarkH3Line.c)
-    add_h3_benchmark(benchmarkH3UniEdge src/apps/benchmarks/benchmarkH3UniEdge.c)
+    add_h3_benchmark(benchmarkGridDiskCells src/apps/benchmarks/benchmarkGridDiskCells.c)
+    add_h3_benchmark(benchmarkGridPathCells src/apps/benchmarks/benchmarkGridPathCells.c)
+    add_h3_benchmark(benchmarkDirectedEdge src/apps/benchmarks/benchmarkDirectedEdge.c)
     add_h3_benchmark(benchmarkVertex src/apps/benchmarks/benchmarkVertex.c)
     add_h3_benchmark(benchmarkH3SetToLinkedGeo src/apps/benchmarks/benchmarkH3SetToLinkedGeo.c)
-    add_h3_benchmark(benchmarkPolyfill src/apps/benchmarks/benchmarkPolyfill.c)
+    add_h3_benchmark(benchmarkPolygonToCells src/apps/benchmarks/benchmarkPolygonToCells.c)
     if(ENABLE_REQUIRES_ALL_SYMBOLS)
         add_h3_benchmark(benchmarkPolygon src/apps/benchmarks/benchmarkPolygon.c)
     endif()

diff --git a/examples/compact.c b/examples/compact.c
@@ -1,5 +1,5 @@
 /*
- * Copyright 2018 Uber Technologies, Inc.
+ * Copyright 2018, 2020 Uber Technologies, Inc.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -35,7 +35,7 @@ int main(int argc, char* argv[]) {
     printf("Starting with %d indexes.\n", inputSize);
 
     H3Index* compacted = calloc(inputSize, sizeof(H3Index));
-    int err = compact(input, compacted, inputSize);
+    int err = compactCells(input, compacted, inputSize);
     // An error case can occur on e.g. duplicate input.
     assert(err == 0);
 
@@ -50,10 +50,11 @@ int main(int argc, char* argv[]) {
     printf("Compacted to %d indexes.\n", compactedCount);
 
     int uncompactRes = 10;
-    int uncompactedSize = maxUncompactSize(compacted, inputSize, uncompactRes);
+    int uncompactedSize =
+        maxUncompactCellsSize(compacted, inputSize, uncompactRes);
     H3Index* uncompacted = calloc(uncompactedSize, sizeof(H3Index));
-    int err2 = uncompact(compacted, compactedCount, uncompacted,
-                         uncompactedSize, uncompactRes);
+    int err2 = uncompactCells(compacted, compactedCount, uncompacted,
+                              uncompactedSize, uncompactRes);
     // An error case could happen if the output array is too small, or indexes
     // have a higher resolution than uncompactRes.
     assert(err2 == 0);

diff --git a/examples/distance.c b/examples/distance.c
@@ -1,5 +1,5 @@
 /*
- * Copyright 2018 Uber Technologies, Inc.
+ * Copyright 2018, 2020 Uber Technologies, Inc.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -52,17 +52,17 @@ int main(int argc, char *argv[]) {
     // 555 Market St @ resolution 15
     H3Index h3HQ2 = stringToH3("8f283082a30e623");
 
-    GeoCoord geoHQ1, geoHQ2;
-    h3ToGeo(h3HQ1, &geoHQ1);
-    h3ToGeo(h3HQ2, &geoHQ2);
+    GeoPoint geoHQ1, geoHQ2;
+    cellToPoint(h3HQ1, &geoHQ1);
+    cellToPoint(h3HQ2, &geoHQ2);
 
     printf(
         "origin: (%lf, %lf)\n"
         "destination: (%lf, %lf)\n"
         "grid distance: %d\n"
         "distance in km: %lfkm\n",
         radsToDegs(geoHQ1.lat), radsToDegs(geoHQ1.lon), radsToDegs(geoHQ2.lat),
-        radsToDegs(geoHQ2.lon), h3Distance(h3HQ1, h3HQ2),
+        radsToDegs(geoHQ2.lon), gridDistance(h3HQ1, h3HQ2),
         haversineDistance(geoHQ1.lat, geoHQ1.lon, geoHQ2.lat, geoHQ2.lon));
     // Output:
     // origin: (37.775236, -122.419755)

diff --git a/examples/edge.c b/examples/edge.c
@@ -1,5 +1,5 @@
 /*
- * Copyright 2018 Uber Technologies, Inc.
+ * Copyright 2018, 2020 Uber Technologies, Inc.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -26,11 +26,11 @@ int main(int argc, char *argv[]) {
     H3Index origin = 0x8a2a1072b59ffffL;
     H3Index destination = 0x8a2a1072b597fffL;  // north of the origin
 
-    H3Index edge = getH3UnidirectionalEdge(origin, destination);
+    H3Index edge = cellsToDirectedEdge(origin, destination);
     printf("The edge is %" PRIx64 "\n", edge);
 
-    GeoBoundary boundary;
-    getH3UnidirectionalEdgeBoundary(edge, &boundary);
+    CellBoundary boundary;
+    directedEdgeToBoundary(edge, &boundary);
     for (int v = 0; v < boundary.numVerts; v++) {
         printf("Edge vertex #%d: %lf, %lf\n", v,
                radsToDegs(boundary.verts[v].lat),