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polygonarea_test.go
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polygonarea_test.go
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package geographiclibgo
import (
"math"
"testing"
)
func planimeter(points [][2]float64) PolygonResult {
polygon := NewPolygonArea(Wgs84(), false)
for _, p := range points {
polygon.AddPoint(p[0], p[1])
}
return polygon.Compute(false, true)
}
func polylength(points [][2]float64) PolygonResult {
polyline := NewPolygonArea(Wgs84(), true)
for _, p := range points {
polyline.AddPoint(p[0], p[1])
}
return polyline.Compute(false, true)
}
func TestPlanimeter0(t *testing.T) {
// Check fix for pole-encircling bug found 2011-03-16
points := [][2]float64{{89, 0}, {89, 90}, {89, 180}, {89, 270}}
got := planimeter(points)
want_perimeter := 631819.8745
want_area := 24952305678.0
if !almost_equal(got.Perimeter, want_perimeter, 1e-4) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
points = [][2]float64{{-89, 0}, {-89, 90}, {-89, 180}, {-89, 270}}
got = planimeter(points)
want_perimeter = 631819.8745
want_area = -24952305678.0
if !almost_equal(got.Perimeter, want_perimeter, 1e-4) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
points = [][2]float64{{0, -1}, {-1, 0}, {0, 1}, {1, 0}}
got = planimeter(points)
want_perimeter = 627598.2731
want_area = 24619419146.0
if !almost_equal(got.Perimeter, want_perimeter, 1e-4) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
points = [][2]float64{{90, 0}, {0, 0}, {0, 90}}
got = planimeter(points)
want_perimeter = 30022685.0
want_area = 63758202715511.0
if !almost_equal(got.Perimeter, want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
polyline_got := polylength(points)
want_perimeter = 20020719.0
if !almost_equal(polyline_got.Perimeter, want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !math.IsNaN(polyline_got.Area) {
t.Errorf("area = %v; want NaN", polyline_got.Area)
}
}
func TestPlanimeter5(t *testing.T) {
// Check fix for Planimeter pole crossing bug found 2011-06-24
points := [][2]float64{{89, 0.1}, {89, 90.1}, {89, -179.9}}
got := planimeter(points)
want_perimeter := 539297.0
want_area := 12476152838.5
if !almost_equal(got.Perimeter, want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
}
func TestPlanimeter6(t *testing.T) {
// Check fix for Planimeter lon12 rounding bug found 2012-12-03
testCases := []struct {
desc string
points [][2]float64
want_area float64
want_perimeter float64
}{
{
desc: "1",
points: [][2]float64{{9, -0.00000000000001}, {9, 180}, {9, 0}},
want_area: 0,
want_perimeter: 36026861,
},
{
desc: "2",
points: [][2]float64{{9, 0.00000000000001}, {9, 0}, {9, 180}},
want_area: 0,
want_perimeter: 36026861,
},
{
desc: "3",
points: [][2]float64{{9, 0.00000000000001}, {9, 180}, {9, 0}},
want_area: 0,
want_perimeter: 36026861,
},
{
desc: "4",
points: [][2]float64{{9, -0.00000000000001}, {9, 0}, {9, 180}},
want_area: 0,
want_perimeter: 36026861,
},
}
for _, tC := range testCases {
t.Run(tC.desc, func(t *testing.T) {
got := planimeter(tC.points)
if !almost_equal(got.Perimeter, tC.want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, tC.want_perimeter)
}
if !almost_equal(got.Area, tC.want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, tC.want_area)
}
})
}
}
func TestPlanimeter12(t *testing.T) {
// Area of arctic circle (not really -- adjunct to rhumb-area test)
points := [][2]float64{{66.562222222, 0}, {66.562222222, 180}}
got := planimeter(points)
want_perimeter := 10465729.0
want_area := 0.0
if !almost_equal(got.Perimeter, want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
}
func BenchmarkPlanimeter12(b *testing.B) {
points := [][2]float64{{66.562222222, 0}, {66.562222222, 180}}
for i := 0; i < b.N; i++ {
planimeter(points)
}
}
func TestPlanimeter13(t *testing.T) {
// Check encircling pole twice
points := [][2]float64{{89, -360}, {89, -240}, {89, -120}, {89, 0}, {89, 120}, {89, 240}}
got := planimeter(points)
want_perimeter := 1160741.0
want_area := 32415230256.0
if !almost_equal(got.Perimeter, want_perimeter, 1) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
if !almost_equal(got.Area, want_area, 1) {
t.Errorf("area = %v; want %v", got.Area, want_area)
}
}
func BenchmarkPlanimeter13(b *testing.B) {
points := [][2]float64{{89, -360}, {89, -240}, {89, -120}, {89, 0}, {89, 120}, {89, 240}}
for i := 0; i < b.N; i++ {
planimeter(points)
}
}
func TestPlanimeter15(t *testing.T) {
// Coverage tests, includes Planimeter15 - Planimeter18 (combinations of
// reverse and sign) + calls to testpoint, testedge.
lat := []float64{2, 1, 3}
lon := []float64{1, 2, 3}
r := 18454562325.45119
a0 := 510065621724088.5093 // ellipsoid area
polygon := NewPolygonArea(Wgs84(), false)
polygon.AddPoint(lat[0], lon[0])
polygon.AddPoint(lat[1], lon[1])
got := polygon.TestPoint(lat[2], lon[2], false, true)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestPoint(lat[2], lon[2], false, false)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestPoint(lat[2], lon[2], true, true)
if !almost_equal(got.Area, -r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestPoint(lat[2], lon[2], true, false)
if !almost_equal(got.Area, a0-r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
geod := Wgs84()
inv := geod.InverseCalcAll(lat[1], lon[1], lat[2], lat[2])
azi1 := inv.Azimuth1Deg
s12 := inv.DistanceM
got = polygon.TestEdge(azi1, s12, false, true)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestEdge(azi1, s12, false, false)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestEdge(azi1, s12, true, true)
if !almost_equal(got.Area, -r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.TestEdge(azi1, s12, true, false)
if !almost_equal(got.Area, a0-r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
polygon.AddPoint(lat[2], lon[2])
got = polygon.Compute(false, true)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.Compute(false, false)
if !almost_equal(got.Area, r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.Compute(true, true)
if !almost_equal(got.Area, -r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
got = polygon.Compute(true, false)
if !almost_equal(got.Area, a0-r, 0.5) {
t.Errorf("area = %v; want %v", got.Area, r)
}
}
func TestPlanimeter19(t *testing.T) {
// Coverage tests, includes Planimeter19 - Planimeter20 (degenerate
// polygons) + extra cases.
polygon := NewPolygonArea(Wgs84(), false)
got := polygon.Compute(false, true)
if got.Area != 0.0 {
t.Errorf("area = %v; want 0", got.Area)
}
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
polygon.TestPoint(1, 1, false, true)
if got.Area != 0.0 {
t.Errorf("area = %v; want 0", got.Area)
}
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
got = polygon.TestEdge(90, 1000, false, true)
if !math.IsNaN(got.Area) {
t.Errorf("area = %v; want NaN", got.Area)
}
if !math.IsNaN(got.Perimeter) {
t.Errorf("perimeter = %v; want NaN", got.Perimeter)
}
polygon.AddPoint(1, 1)
got = polygon.Compute(false, true)
if got.Area != 0.0 {
t.Errorf("area = %v; want 0", got.Area)
}
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
polyline := NewPolygonArea(Wgs84(), true)
got = polyline.Compute(false, true)
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
got = polyline.TestPoint(1, 1, false, true)
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
got = polyline.TestEdge(90, 1000, false, true)
if !math.IsNaN(got.Perimeter) {
t.Errorf("perimeter = %v; want NaN", got.Perimeter)
}
polyline.AddPoint(1, 1)
got = polyline.Compute(false, true)
if got.Perimeter != 0.0 {
t.Errorf("perimeter = %v; want 0", got.Perimeter)
}
polygon.AddPoint(1, 1)
got = polyline.TestEdge(90, 1000, false, true)
if !almost_equal(got.Perimeter, 1000, 1e-10) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, 1000)
}
got = polyline.TestPoint(2, 2, false, true)
want_perimeter := 156876.149
if !almost_equal(got.Perimeter, want_perimeter, 0.5e-3) {
t.Errorf("perimeter = %v; want %v", got.Perimeter, want_perimeter)
}
}
func TestPlanimeter21(t *testing.T) {
// Some test to add code coverage: multiple circlings of pole (includes
// Planimeter21 - Planimeter28) + invocations via testpoint and testedge.
var a PolygonResult
lat := 45.0
azi := 39.2144607176828184218
s := 8420705.40957178156285
r := 39433884866571.4277 // Area for one circuit
a0 := 510065621724088.5093 // Ellipsoid area
polygon := NewPolygonArea(Wgs84(), false)
polygon.AddPoint(lat, 60)
polygon.AddPoint(lat, 180)
polygon.AddPoint(lat, -60)
polygon.AddPoint(lat, 60)
polygon.AddPoint(lat, 180)
polygon.AddPoint(lat, -60)
ivals := [2]int{3, 4}
for _, i := range ivals {
polygon.AddPoint(lat, 60)
polygon.AddPoint(lat, 180)
a = polygon.TestPoint(lat, -60, false, true)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestPoint(lat, -60, false, false)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestPoint(lat, -60, true, true)
if !almost_equal(a.Area, -float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestPoint(lat, -60, true, false)
if !almost_equal(a.Area, -float64(i)*r+a0, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestEdge(azi, s, false, true)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestEdge(azi, s, false, false)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestEdge(azi, s, true, true)
if !almost_equal(a.Area, -float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.TestEdge(azi, s, true, false)
if !almost_equal(a.Area, -float64(i)*r+a0, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
polygon.AddPoint(lat, -60)
a = polygon.Compute(false, true)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.Compute(false, false)
if !almost_equal(a.Area, float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.Compute(true, true)
if !almost_equal(a.Area, -float64(i)*r, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
a = polygon.Compute(true, false)
if !almost_equal(a.Area, -float64(i)*r+a0, 0.5) {
t.Errorf("i=%v; area = %v; want %v", i, a.Area, float64(i)*r)
}
}
}
func TestPlanimeter29(t *testing.T) {
// Check fix to transitdirect vs transit zero handling inconsistency
var a PolygonResult
polygon := NewPolygonArea(Wgs84(), false)
polygon.Clear()
polygon.AddPoint(0, 0)
polygon.AddEdge(90, 1000)
polygon.AddEdge(0, 1000)
polygon.AddEdge(-90, 1000)
a = polygon.Compute(false, true)
// The area should be 1e6. Prior to the fix it was 1e6 - A/2, where
// A = ellipsoid area.
want_area := 1000000.0
if !almost_equal(a.Area, want_area, 0.01) {
t.Errorf("area = %v; want %v", a.Area, want_area)
}
}