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geo.go
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geo.go
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//go:build !tinygo
// +build !tinygo
package gfx
import (
"image"
"image/draw"
"math"
)
// GeoPoint represents a geographic point with Lat/Lon.
type GeoPoint struct {
Lon float64
Lat float64
}
// GP creates a new GeoPoint
func GP(lat, lon float64) GeoPoint {
return GeoPoint{Lon: lon, Lat: lat}
}
// Vec returns a vector for the geo point based on the given tileSize and zoom level.
func (gp GeoPoint) Vec(tileSize, zoom int) Vec {
scale := math.Pow(2, float64(zoom))
fts := float64(tileSize)
return V(
((float64(gp.Lon)+180)/360)*scale*fts,
(fts/2)-(fts*math.Log(math.Tan((Pi/4)+((float64(gp.Lat)*Pi/180)/2)))/(2*Pi))*scale,
)
}
// In returns a Vec for the position of the GeoPoint in a GeoTile.
func (gp GeoPoint) In(gt GeoTile, tileSize int) Vec {
return gt.Vec(gp, tileSize)
}
// GeoTile for the GeoPoint at the given zoom level.
func (gp GeoPoint) GeoTile(zoom int) GeoTile {
latRad := Degrees(gp.Lat).Radians()
n := math.Pow(2, float64(zoom))
return GeoTile{
Zoom: zoom,
X: int(n * (float64(gp.Lon) + 180) / 360),
Y: int((1.0 - math.Log(math.Tan(latRad)+(1/math.Cos(latRad)))/Pi) / 2.0 * n),
}
}
// NewGeoPointFromTileNumbers creates a new GeoPoint based on the given tile numbers.
// https://wiki.openstreetmap.org/wiki/Slippy_map_tilenames#Tile_numbers_to_lon..2Flat.
func NewGeoPointFromTileNumbers(zoom, x, y int) GeoPoint {
n := math.Pow(2, float64(zoom))
latRad := math.Atan(math.Sinh(Pi * (1 - (2 * float64(y) / n))))
return GP(latRad*180/Pi, (float64(x)/n*360)-180)
}
// GeoTiles is a slice of GeoTile.
type GeoTiles []GeoTile
// GeoTile consists of a Zoom level, X and Y values.
type GeoTile struct {
Zoom int
X int
Y int
}
// GT creates a new GeoTile.
func GT(zoom, x, y int) GeoTile {
return GeoTile{Zoom: zoom, X: x, Y: y}
}
// GeoPoint for the GeoTile.
func (gt GeoTile) GeoPoint() GeoPoint {
n := math.Pow(2, float64(gt.Zoom))
latRad := math.Atan(math.Sinh(Pi * (1 - (2 * float64(gt.Y) / n))))
return GP(latRad*180/Pi, (float64(gt.X)/n*360)-180)
}
// Vec returns the Vec for the GeoPoint in the GeoTile.
func (gt GeoTile) Vec(gp GeoPoint, tileSize int) Vec {
return gp.Vec(tileSize, gt.Zoom).Sub(gt.GeoPoint().Vec(tileSize, gt.Zoom))
}
// Rawurl formats a URL string with Zoom, X and Y.
func (gt GeoTile) Rawurl(format string) string {
return Sprintf(format, gt.Zoom, gt.X, gt.Y)
}
// AddXY adds x and y.
func (gt GeoTile) AddXY(x, y int) GeoTile {
return GT(gt.Zoom, gt.X+x, gt.Y+y)
}
// Neighbors returns the neighboring tiles.
func (gt GeoTile) Neighbors() GeoTiles {
return GeoTiles{
gt.N(),
gt.NE(),
gt.E(),
gt.SE(),
gt.S(),
gt.SW(),
gt.W(),
gt.NW(),
}
}
// N is the tile to the north.
func (gt GeoTile) N() GeoTile {
if gt.Zoom > 0 && gt.Y > 0 {
gt.Y--
}
return gt
}
// NE is the tile to the northeast.
func (gt GeoTile) NE() GeoTile {
if gt.Zoom > 0 {
if gt.Y > 0 {
gt.Y--
}
gt.X++
}
return gt
}
// E is the tile to the east.
func (gt GeoTile) E() GeoTile {
if gt.Zoom > 0 {
gt.X++
}
return gt
}
// SE is the tile to the southeast.
func (gt GeoTile) SE() GeoTile {
if gt.Zoom > 0 {
gt.X++
gt.Y++
}
return gt
}
// S is the tile to the south.
func (gt GeoTile) S() GeoTile {
if gt.Zoom > 0 {
gt.Y++
}
return gt
}
// SW is the tile to the southwest.
func (gt GeoTile) SW() GeoTile {
if gt.Zoom > 0 {
if gt.X > 0 {
gt.X--
}
gt.Y++
}
return gt
}
// W is the tile to the west.
func (gt GeoTile) W() GeoTile {
if gt.Zoom > 0 && gt.X > 0 {
gt.X--
}
return gt
}
// NW is the tile to the northwest.
func (gt GeoTile) NW() GeoTile {
if gt.Zoom > 0 {
if gt.Y > 0 {
gt.Y--
}
if gt.X > 0 {
gt.X--
}
}
return gt
}
// GetImage for the tile.
func (gt GeoTile) GetImage(format string) (image.Image, error) {
return GetImage(gt.Rawurl(format))
}
// Draw the tile on dst.
func (gt GeoTile) Draw(dst draw.Image, gp GeoPoint, src image.Image) {
Draw(dst, gt.Bounds(dst, gp, src.Bounds().Dx()), src)
}
// Bounds returns an image.Rectangle for the GeoTile based on the dst, gp and tileSize.
func (gt GeoTile) Bounds(dst image.Image, gp GeoPoint, tileSize int) image.Rectangle {
c := BoundsCenter(dst.Bounds())
return dst.Bounds().Add(c.Pt()).Sub(gp.In(gt, tileSize).Pt())
}
// GeoTileServer represents a tile server.
type GeoTileServer struct {
Format string
}
// GTS creates a GeoTileServer.
func GTS(format string) GeoTileServer {
return GeoTileServer{Format: format}
}
// GetImage for the given GeoTile from the tile server.
func (gts GeoTileServer) GetImage(gt GeoTile) (image.Image, error) {
return gt.GetImage(gts.Format)
}
// DrawTileAndNeighbors on dst.
func (gts GeoTileServer) DrawTileAndNeighbors(dst draw.Image, gt GeoTile, gp GeoPoint) error {
if err := gts.DrawTile(dst, gt, gp); err != nil {
return nil
}
return gts.DrawNeighbors(dst, gt, gp)
}
// DrawTile on dst.
func (gts GeoTileServer) DrawTile(dst draw.Image, gt GeoTile, gp GeoPoint) error {
src, err := gts.GetImage(gt)
if err != nil {
return err
}
gt.Draw(dst, gp, src)
return nil
}
// DrawNeighbors on dst.
func (gts GeoTileServer) DrawNeighbors(dst draw.Image, gt GeoTile, gp GeoPoint) error {
for _, n := range gt.Neighbors() {
if err := gts.DrawTile(dst, n, gp); err != nil {
return err
}
}
return nil
}