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/*
Copyright 2014 Google Inc. All rights reserved.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
package s2
import (
"math"
"testing"
"github.com/golang/geo/s1"
)
func TestLatLngNormalized(t *testing.T) {
tests := []struct {
desc string
pos LatLng
want LatLng
}{
{
desc: "Valid lat/lng",
pos: LatLngFromDegrees(21.8275043, 151.1979675),
want: LatLngFromDegrees(21.8275043, 151.1979675),
},
{
desc: "Valid lat/lng in the West",
pos: LatLngFromDegrees(21.8275043, -151.1979675),
want: LatLngFromDegrees(21.8275043, -151.1979675),
},
{
desc: "Beyond the North pole",
pos: LatLngFromDegrees(95, 151.1979675),
want: LatLngFromDegrees(90, 151.1979675),
},
{
desc: "Beyond the South pole",
pos: LatLngFromDegrees(-95, 151.1979675),
want: LatLngFromDegrees(-90, 151.1979675),
},
{
desc: "At the date line (from East)",
pos: LatLngFromDegrees(21.8275043, 180),
want: LatLngFromDegrees(21.8275043, 180),
},
{
desc: "At the date line (from West)",
pos: LatLngFromDegrees(21.8275043, -180),
want: LatLngFromDegrees(21.8275043, -180),
},
{
desc: "Across the date line going East",
pos: LatLngFromDegrees(21.8275043, 181.0012),
want: LatLngFromDegrees(21.8275043, -178.9988),
},
{
desc: "Across the date line going West",
pos: LatLngFromDegrees(21.8275043, -181.0012),
want: LatLngFromDegrees(21.8275043, 178.9988),
},
{
desc: "All wrong",
pos: LatLngFromDegrees(256, 256),
want: LatLngFromDegrees(90, -104),
},
}
for _, test := range tests {
got := test.pos.Normalized()
if !got.IsValid() {
t.Errorf("%s: A LatLng should be valid after normalization but isn't: %v", test.desc, got)
} else if got.Distance(test.want) > 1e-13*s1.Degree {
t.Errorf("%s: %v.Normalized() = %v, want %v", test.desc, test.pos, got, test.want)
}
}
}
func TestLatLngString(t *testing.T) {
const expected string = "[1.4142136, -2.2360680]"
s := LatLngFromDegrees(math.Sqrt2, -math.Sqrt(5)).String()
if s != expected {
t.Errorf("LatLng{√2, -√5}.String() = %q, want %q", s, expected)
}
}
func TestLatLngPointConversion(t *testing.T) {
// All test cases here have been verified against the C++ S2 implementation.
tests := []struct {
lat, lng float64 // degrees
x, y, z float64
}{
{0, 0, 1, 0, 0},
{90, 0, 6.12323e-17, 0, 1},
{-90, 0, 6.12323e-17, 0, -1},
{0, 180, -1, 1.22465e-16, 0},
{0, -180, -1, -1.22465e-16, 0},
{90, 180, -6.12323e-17, 7.4988e-33, 1},
{90, -180, -6.12323e-17, -7.4988e-33, 1},
{-90, 180, -6.12323e-17, 7.4988e-33, -1},
{-90, -180, -6.12323e-17, -7.4988e-33, -1},
{-81.82750430354997, 151.19796752929685,
-0.12456788151479525, 0.0684875268284729, -0.989844584550441},
}
for _, test := range tests {
ll := LatLngFromDegrees(test.lat, test.lng)
p := PointFromLatLng(ll)
// TODO(mikeperrow): Port Point.ApproxEquals, then use here.
if !float64Eq(p.X, test.x) || !float64Eq(p.Y, test.y) || !float64Eq(p.Z, test.z) {
t.Errorf("PointFromLatLng({%v°, %v°}) = %v, want %v, %v, %v",
test.lat, test.lng, p, test.x, test.y, test.z)
}
ll = LatLngFromPoint(p)
// We need to be careful here, since if the latitude is +/- 90, any longitude
// is now a valid conversion.
isPolar := (test.lat == 90 || test.lat == -90)
if !float64Eq(ll.Lat.Degrees(), test.lat) ||
(!isPolar && (!float64Eq(ll.Lng.Degrees(), test.lng))) {
t.Errorf("Converting ll %v,%v to point (%v) and back gave %v.",
test.lat, test.lng, p, ll)
}
}
}
func TestLatLngDistance(t *testing.T) {
// Based on C++ S2LatLng::TestDistance.
tests := []struct {
lat1, lng1, lat2, lng2 float64
want, tolerance float64
}{
{90, 0, 90, 0, 0, 0},
{-37, 25, -66, -155, 77, 1e-13},
{0, 165, 0, -80, 115, 1e-13},
{47, -127, -47, 53, 180, 2e-6},
}
for _, test := range tests {
ll1 := LatLngFromDegrees(test.lat1, test.lng1)
ll2 := LatLngFromDegrees(test.lat2, test.lng2)
d := ll1.Distance(ll2).Degrees()
if math.Abs(d-test.want) > test.tolerance {
t.Errorf("LatLng{%v, %v}.Distance(LatLng{%v, %v}).Degrees() = %v, want %v",
test.lat1, test.lng1, test.lat2, test.lng2, d, test.want)
}
}
}
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