package index // normPoint takes the latitude and longitude of one point and return the x,y position on a world map. // The map bounds are minimum -180,-90 and maximum 180,90. These values are x,y; not lat,lon. func normPoint(lat, lon float64) (x float64, y float64, normd bool) { // Check if the rect is completely in bounds. This is likely to be the vast majority of cases. if lon >= -180 && lon <= 180 && lat >= -90 && lat <= 90 { return lon, lat, false } // TODO: replace loops with math/mod. for lat < -90 || lat > 90 { if lat < -90 { lat = -90 - (90 + lat) lon = 180 + lon } if lat > 90 { lat = 90 + (90 - lat) lon = 180 + lon } } for lon < -180 { lon += 360 } for lon > 180 { lon -= 360 } return lon, lat, true } // normRect takes the latitude and longitude of two points which define a rectangle and returns an array of x,y rectangles on a world map. // The map bounds are minimum -180,-90 and maximum 180,90. These values are x,y; not lat,lon. func normRect(swLat, swLon, neLat, neLon float64) (mins, maxs [][]float64, normd bool) { mins, maxs, normd = normRectStep(swLat, swLon, neLat, neLon, nil, nil, false) return mins, maxs, normd } func normRectStep(swLat, swLon, neLat, neLon float64, mins, maxs [][]float64, normd bool) (minsOut, maxsOut [][]float64, normdOut bool) { // Make sure that the northeast point is greater than the southwest point. if neLat < swLat { swLat, neLat, normd = neLat, swLat, true } if neLon < swLon { swLon, neLon, normd = neLon, swLon, true } if swLon < -180 || neLon > 180 { // The rect is horizontally out of bounds. if neLon-swLon > 360 { // The rect goes around the world. Just normalize to -180 to 180. swLon = -180 neLon = 180 } else if swLon < -180 && neLon < -180 { // The rect is way left. Move it into range. // TODO: replace loops with math/mod. for { swLon += 360 neLon += 360 if swLon >= -180 || neLon >= -180 { break } } } else if swLon > 180 && neLon > 180 { // The rect is way right. Move it into range. // TODO: replace loops with math/mod. for { swLon -= 360 neLon -= 360 if swLon <= 180 || neLon <= 180 { break } } } else { // The rect needs to be split into two. if swLon < -180 { mins, maxs, normd = normRectStep(swLat, 180+(180+swLon), neLat, 180, mins, maxs, normd) mins, maxs, normd = normRectStep(swLat, -180, neLat, neLon, mins, maxs, normd) } else if neLon > 180 { mins, maxs, normd = normRectStep(swLat, swLon, neLat, 180, mins, maxs, normd) mins, maxs, normd = normRectStep(swLat, -180, neLat, -180+(neLon-180), mins, maxs, normd) } else { panic("should not be reached") } return mins, maxs, true } return normRectStep(swLat, swLon, neLat, neLon, mins, maxs, true) } else if swLat < -90 || neLat > 90 { // The rect is vertically out of bounds. if neLat-swLat > 360 { // The rect goes around the world. Just normalize to -180 to 180. swLat = -180 neLat = 180 } else if swLat < -90 && neLat < -90 { swLat = -90 + (-90 - swLat) neLat = -90 + (-90 - neLat) swLon = swLon - 180 neLon = neLon - 180 } else if swLat > 90 && neLat > 90 { swLat = 90 - (swLat - 90) neLat = 90 - (neLat - 90) swLon = swLon - 180 neLon = neLon - 180 } else { if neLat > 90 { mins, maxs, normd = normRectStep(swLat, swLon, 90, neLon, mins, maxs, normd) mins, maxs, normd = normRectStep(90-(neLat-90), swLon-180, 90, neLon-180, mins, maxs, normd) } else if swLat < -90 { mins, maxs, normd = normRectStep(-90, swLon, neLat, neLon, mins, maxs, normd) mins, maxs, normd = normRectStep(-90, swLon-180, -90-(90+swLat), neLon-180, mins, maxs, normd) } else { panic("should not be reached") } return mins, maxs, true } return normRectStep(swLat, swLon, neLat, neLon, mins, maxs, true) } else { // rect is completely in bounds. mins = append(mins, []float64{swLon, swLat}) maxs = append(maxs, []float64{neLon, neLat}) return mins, maxs, normd } }