// 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)
		want := PointFromCoords(test.x, test.y, test.z)
		if !p.ApproxEqual(want) {
			t.Errorf("PointFromLatLng({%v°, %v°}) = %v, want %v", test.lat, test.lng, p, want)
		}
		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)
		}
	}
}

func TestLatLngApproxEqual(t *testing.T) {
	const ε = epsilon / 10
	tests := []struct {
		a, b LatLng
		want bool
	}{
		{LatLngFromDegrees(30, 50), LatLngFromDegrees(30, 50+ε), true},
		{LatLngFromDegrees(30, 50), LatLngFromDegrees(30-ε, 50), true},
		{LatLngFromDegrees(1, 5), LatLngFromDegrees(2, 3), false},
	}

	for _, test := range tests {
		if got := test.a.ApproxEqual(test.b); got != test.want {
			t.Errorf("%v.ApproxEqual(%v) = %t, want %t", test.a, test.b, got, test.want)
		}
	}
}