diff --git a/.gitignore b/.gitignore index 1eace48..51a7fbc 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,5 @@ *~ *.pyc -test.py \ No newline at end of file +test.py +.idea +.idea/* diff --git a/README.md b/README.md index 5228561..819d119 100755 --- a/README.md +++ b/README.md @@ -26,7 +26,7 @@ topojson({'name1':load(open(path1)),'name1':load(open(name2))},'compined.topojso known issues: -__init__.py +`__init__.py` - coding style only a mother could love - holds everything in memory, this could be bad -- should be able to incrementally add features \ No newline at end of file +- should be able to incrementally add features diff --git a/tests/__init__.py b/tests/__init__.py new file mode 100644 index 0000000..de6bfaf --- /dev/null +++ b/tests/__init__.py @@ -0,0 +1 @@ +__author__ = 'PauloS' diff --git a/tests/brazil.geo.json b/tests/brazil.geo.json new file mode 100644 index 0000000..fae42c2 --- /dev/null +++ b/tests/brazil.geo.json @@ -0,0 +1,8 @@ +{ +"type": 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\ No newline at end of file diff --git a/tests/test.py b/tests/test.py new file mode 100644 index 0000000..8a9e5ef --- /dev/null +++ b/tests/test.py @@ -0,0 +1,58 @@ +import json +import unittest + + +class Geo2TopoTest(unittest.TestCase): + """Compares output with the reference implementation""" + def setUp(self): + from topojson import topojson + self.candidate = topojson('brazil.geo.json') + self.reference = json.load(open('brazil.topo.json')) + + def test_is_point(self): + from topojson.topology import is_point + self.assertTrue(is_point([0, 1])) + self.assertFalse(is_point('01')) + self.assertFalse(is_point(['test', 1])) + + def test_point_compare(self): + from topojson.topology import distinct_point + self.assertFalse(distinct_point([0, 1], [0, 1])) + self.assertTrue(distinct_point([0, 1], [1, 1])) + self.assertFalse(distinct_point([2.0, 1], [2, 1])) + + def test_transform(self): + c = self.candidate.get('transform', None) + r = self.candidate.get('transform') + self.assertIsNotNone(c, 'transform element should be present.') + self.assertIsNotNone(c.get('scale', None), 'transform must have a scale element.') + self.assertIsNotNone(c.get('translate', None), 'transform must have a translate element.') + self.assertEqual(c['scale'], r['scale'], "transform['scale'] don't match.") + self.assertEqual(c['translate'], r['translate'], "transform['translate'] don't match.") + + def test_type(self): + t1 = self.candidate.get('type', None) + t2 = self.reference.get('type') + self.assertEqual(t1, t2, 'Type must match "{}"'.format(t2)) + + def test_cartesian_ring_area(self): + from topojson.coordinatesystems import systems + cartesian = systems['cartesian'] + p1 = [[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]] + p2 = [[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]] + self.assertTrue(cartesian.ring_area(p1) > 0, "clockwise area is positive") + self.assertTrue(cartesian.ring_area(p2) < 0, "counterclockwise area is negative") + + def test_compare_arcs(self): + c = self.candidate.get('arcs', None) + r = self.reference.get('arcs') + self.assertIsNotNone(c, 'The arcs element should be present.') + self.assertEqual(len(c), len(r), "Arc shold have the same length") + self.assertEqual(c, r, "Arcs should be equal?") + + def test_compare_keys(self): + """Results shold have the same toplevel keys""" + self.assertListEqual(self.candidate.keys(), self.reference.keys()) + +if __name__ == '__main__': + unittest.main() diff --git a/topojson/conversion.py b/topojson/conversion.py index d6bb392..fa52008 100644 --- a/topojson/conversion.py +++ b/topojson/conversion.py @@ -1,23 +1,16 @@ from topology import topology -from json import load,dump +import json + + +def convert(in_file, output=None, *args, **kwargs): + with open(in_file) as f: + data = json.load(f) + + data = topology(data, *args, **kwargs) + + if output is None: + return data + + with open(output, 'w') as f: + json.dump(data, f) -def convert(inThing,outThing=None,options={}): - if isinstance(inThing,dict): - inpt = inThing - elif isinstance(inThing,str) or isinstance(inThing,unicode): - inFile = open(inThing) - inpt = load(inFile) - if not options.has_key('name') and inpt.has_key('type') and hasattr(inFile,'name') and inFile.name.lower().endswith('.geojson'): - inpt = {inFile.name[:-8].split('/')[-1]:inpt} - elif isinstance(inThing,file): - inpt=load(inThing) - if not options.has_key('name') and inpt.has_key('type') and hasattr(inThing,'name') and inThing.name.lower().endswith('.geojson'): - inpt = {inThing.name[:-8].split('/')[-1]:inpt} - out = topology(inpt,options) - if isinstance(outThing,str) or isinstance(outThing,unicode): - with open(outThing,'w') as f: - dump(out,f) - elif isinstance(outThing,file): - dump(out,outThing) - else: - return out \ No newline at end of file diff --git a/topojson/coordinatesystems.py b/topojson/coordinatesystems.py index e567c5e..3815363 100644 --- a/topojson/coordinatesystems.py +++ b/topojson/coordinatesystems.py @@ -1,111 +1,119 @@ # coding=utf8 -from math import sqrt,pi,cos,sin,atan2,tan,atan,asin -systems = {} -systems['cartesian']={} -systems['spherical']={} - - -def cartformatDistance(d): - return str(d) - - -def cartringArea(ring): - area = ring[-1][1] * ring[0][0] - ring[-1][0] * ring[0][1] - i=0 - for j in ring: - area += ring[i - 1][1] * j[0] - ring[i - 1][0] * j[1]; - i+=1 - return area*0.5 - -def carttriangleArea(triangle): - return abs((triangle[0][0] - triangle[2][0]) * (triangle[1][1] - triangle[0][1]) -(triangle[0][0] - triangle[1][0]) * (triangle[2][1] - triangle[0][1])) - -def cartdistance(x0, y0, x1, y1): - dx = x0 - x1 - dy = y0 - y1 - return sqrt(dx * dx + dy * dy) - - -pi4 = pi / 4 -radians = pi / 180 -systems['cartesian']['name'] = "cartesian" -systems['cartesian']['formatDistance'] = cartformatDistance -systems['cartesian']['ringArea'] = cartringArea -systems['cartesian']['absoluteArea'] = abs -systems['cartesian']['triangleArea'] = carttriangleArea -systems['cartesian']['distance'] = cartdistance - - -def sphformatDistance(radians): - km = radians * 6371.0; - return (str(round(km,3)) +"km" if km > 1 else "%.3fm"%(km * 1000)) + " (%.3f°)"%(radians * 180 / pi) - -def sphringArea(ring): - if not len(ring): - return 0 - area = 0 - p = ring[0] - lambd = p[0] * radians - phi = p[1] * radians / 2.0 + pi4 - lambda0 = lambd - cosphi0 = cos(phi) - sinphi0 = sin(phi) - for pp in ring[1:]: - lambd = pp[0] * radians; - phi = pp[1] * radians / 2.0 + pi4; - # Spherical excess E for a spherical triangle with vertices: south pole, - # previous point, current point. Uses a formula derived from Cagnoli’s - # theorem. See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2). - dlambda = lambd - lambda0 - cosphi = cos(phi) - sinphi = sin(phi) - k = sinphi0 * sinphi - u = cosphi0 * cosphi + k * cos(dlambda) - v = k * sin(dlambda) - area += atan2(v, u) - #Advance the previous point. - lambda0 = lambd; - cosphi0 = cosphi; - sinphi0 = sinphi; - return 2 * area; - - -def sphabsoluteArea(a): - return a + 4 * pi if a < 0 else a - - -def sphtriangleArea(t): - a = distance(t[0], t[1]) - b = distance(t[1], t[2]) - c = distance(t[2], t[0]) - s = (a + b + c) / 2.0 - return 4 * atan(sqrt(max(0, tan(s / 2.0) * tan((s - a) / 2.0) * tan((s - b) / 2.0) * tan((s - c) / 2.0)))) - -def distance(a, b): - deltalambda = (b[0] - a[0]) * radians - sindeltalambda = Math.sin(deltalambda) - cosdeltalambda = Math.cos(deltalambda) - sinphi0 = Math.sin(a[1] * radians) - cosphi0 = Math.cos(a[1] * radians) - sinphi1 = Math.sin(b[1] * radians) - cosphi1 = Math.cos(b[1] * radians) - cs=cosphi1 * sindeltalambda - cs2 = cosphi0 * sinphi1 - sinphi0 * cosphi1 * cosdeltalambda - return Math.atan2(Math.sqrt(cs * cs + cs2 * cs2), sinphi0 * sinphi1 + cosphi0 * cosphi1 * cosdeltalambda) - -def sphhaversinDistance(x0, y0, x1, y1): - x0 *= radians; - y0 *= radians; - x1 *= radians; - y1 *= radians; - return 2.0 * asin(sqrt(haversin(y1 - y0) + cos(y0) * cos(y1) * haversin(x1 - x0))) -systems['spherical']['name'] = "spherical"; -systems['spherical']['formatDistance'] = sphformatDistance; -systems['spherical']['ringArea'] = sphringArea; -systems['spherical']['absoluteArea'] = sphabsoluteArea; -systems['spherical']['triangleArea'] = sphtriangleArea; -systems['spherical']['distance'] = sphhaversinDistance; - -def haversin(x): - x = sin(x / 2.0) - return x*x +from math import sqrt, pi, cos, sin, atan2, tan, atan, asin + +PI4 = pi / 4 +RADIANS = pi / 180 + + +class BaseCoordinateSystem(object): + name = "BaseCoordinateSystem" + + def format_distance(self, distance): + return str(distance) + + def ring_area(self, ring): + raise Exception('Not implemented') + + def triangle_area(self, triangle): + raise Exception('Not implemented') + + def distance(self, x0, y0, x1, y1): + raise Exception('Not implemented') + + def absolute_area(self, area): + return abs(area) + + +class Cartesian(BaseCoordinateSystem): + name = "cartesian" + + def ring_area(self, ring): + calc_area = lambda p1, p2: p1[1] * p2[0] - p1[0] * p2[1] + # last and first + area = calc_area(ring[-1], ring[0]) + for i, p in enumerate(ring[1:]): # skip first so p is current and + area += calc_area(p, ring[i]) # ring[i] is the previous + return area * 0.5 + + def triangle_area(self, triangle): + return abs( + (triangle[0][0] - triangle[2][0]) * (triangle[1][1] - triangle[0][1]) - + (triangle[0][0] - triangle[1][0]) * (triangle[2][1] - triangle[0][1]) + ) + + def distance(self, x0, y0, x1, y1): + dx = x0 - x1 + dy = y0 - y1 + return sqrt(dx * dx + dy * dy) + + +class Spherical(BaseCoordinateSystem): + name = 'spherical' + + def haversin(self, x): + return sin(x / 2) ** 2 + + def format_distance(self, distance): + km = distance * 6371.0 + if km > 1: + return u"{:0.03f}km".format(km) + else: + return u"{:0.03f} ({0.03f}°)".format(km * 1000, distance * 180 / pi) + + def ring_area(self, ring): + if len(ring) == 0: + return 0 + area = 0 + p = ring[0] + PI4 = 1 + lambda_ = p[0] * RADIANS + phi = p[1] * RADIANS / 2.0 + PI4 + lambda0 = lambda_ + cosphi0 = cos(phi) + sinphi0 = sin(phi) + for pp in ring[1:]: + lambda_ = pp[0] * RADIANS + phi = pp[1] * RADIANS / 2.0 + PI4 + # Spherical excess E for a spherical triangle with vertices: south pole, + # previous point, current point. Uses a formula derived from Cagnoli’s + # theorem. See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2). + dlambda = lambda_ - lambda0 + cosphi = cos(phi) + sinphi = sin(phi) + k = sinphi0 * sinphi + u = cosphi0 * cosphi + k * cos(dlambda) + v = k * sin(dlambda) + area += atan2(v, u) + #Advance the previous point. + lambda0 = lambda_ + cosphi0 = cosphi + sinphi0 = sinphi + return 2 * area + + def absolute_area(self, area): + return area + 4 * pi if area < 0 else area + + def triangle_area(self, triangle): + def distance(a, b): # why 2 implementations? I don't know, original has the same question in comments + x0, y0, x1, y1 = [(n * RADIANS) for n in (a + b)] + delta_lambda = x1 - x0 + return atan2( + sqrt( + (cos(x1) * sin(delta_lambda)) ** 2 + + (cos(x0) * sin(x1) - sin(x0) * cos(x1) * cos(delta_lambda)) ** 2 + ), + sin(x0) * sin(x1) + cos(x0) * cos(x1) * cos(delta_lambda) + ) + a = distance(triangle[0], triangle[1]) + b = distance(triangle[1], triangle[2]) + c = distance(triangle[2], triangle[0]) + s = (a + b + c) / 2.0 + return 4 * atan(sqrt(max(0, tan(s / 2.0) * tan((s - a) / 2.0) * tan((s - b) / 2.0) * tan((s - c) / 2.0)))) + + def distance(self, x0, y0, x1, y1): + x0, y0, x1, y1 = [(n * RADIANS) for n in [x0, y0, x1, y1]] + return 2.0 * asin(sqrt(self.haversin(y1 - y0) + cos(y0) * cos(y1) * self.haversin(x1 - x0))) + + +systems = {'cartesian': Cartesian(), 'spherical': Spherical()} + diff --git a/topojson/mytypes.py b/topojson/mytypes.py index bc68eaf..1aea18f 100644 --- a/topojson/mytypes.py +++ b/topojson/mytypes.py @@ -1,78 +1,92 @@ - -typeGeometries = ( - 'LineString', - 'MultiLineString', - 'MultiPoint', - 'MultiPolygon', - 'Point', - 'Polygon', - 'GeometryCollection' +TYPEGEOMETRIES = ( + 'LineString', + 'MultiLineString', + 'MultiPoint', + 'MultiPolygon', + 'Point', + 'Polygon', + 'GeometryCollection' ) + class types: - def __init__(self,obj): - self.obj(obj) - def Feature(self,feature): - if feature.has_key('geometry'): - self.geometry(feature['geometry']) - def FeatureCollection(self,collection): - for feature in collection['features']: - self.Feature(feature) - def GeometryCollection(self,collection): - if collection.has_key('geometries'): - for geometry in collection['geometries']: - self.geometry(geometry) - def LineString(self,lineString): - self.line(lineString['coordinates']) - def MultiLineString(self,multiLineString): - for coordinate in multiLineString['coordinates']: - self.line(coordinate) - def MultiPoint(self,multiPoint): - for coordinate in multiPoint['coordinates']: - self.point(coordinate); - def MultiPolygon(self,multiPolygon): - for coordinate in multiPolygon['coordinates']: - self.polygon(coordinate); - def Point(self,point): - self.point(point['coordinates']) - def Polygon(self,polygon): - self.polygon(polygon['coordinates']) - def obj(self,obj): - if obj == None : - self.outObj = None - elif not obj.has_key('type'): - self.outObj = {} - for fName in obj: - self.outObj[fName]=self.FeatureCollection(obj[fName]) - elif obj['type']=='Feature': - self.outObj = self.Feature(obj) - elif obj['type']=='FeatureCollection': - self.outObj = self.FeatureCollection(obj) - elif obj['type'] in typeGeometries: - self.outObj = self.geometry(obj) - return self.outObj - def geometry(self,geometry): - if not (geometry != None and geometry['type'] in typeGeometries): - return None - elif geometry['type']== 'LineString': - return self.LineString(geometry) - elif geometry['type']== 'MultiLineString': - return self.MultiLineString(geometry) - elif geometry['type']== 'MultiPoint': - return self.MultiPoint(geometry) - elif geometry['type']== 'MultiPolygon': - return self.MultiPolygon(geometry) - elif geometry['type']== 'Point': - return self.Point(geometry) - elif geometry['type']== 'Polygon': - return self.Polygon(geometry) - elif geometry['type']== 'GeometryCollection': - return self.GeometryCollection(geometry) - def point(self): - pass - def line(self,coordinates): - for coordinate in coordinates: - self.point(coordinate) - def polygon(self,coordinates): - for coordinate in coordinates: - self.line(coordinate) + def __init__(self, obj): + self.obj(obj) + + def Feature(self, feature): + if feature.has_key('geometry'): + self.geometry(feature['geometry']) + + def FeatureCollection(self, collection): + for feature in collection['features']: + self.Feature(feature) + + def GeometryCollection(self, collection): + if collection.has_key('geometries'): + for geometry in collection['geometries']: + self.geometry(geometry) + + def LineString(self, lineString): + self.line(lineString['coordinates']) + + def MultiLineString(self, multiLineString): + for coordinate in multiLineString['coordinates']: + self.line(coordinate) + + def MultiPoint(self, multiPoint): + for coordinate in multiPoint['coordinates']: + self.point(coordinate); + + def MultiPolygon(self, multiPolygon): + for coordinate in multiPolygon['coordinates']: + self.polygon(coordinate); + + def Point(self, point): + self.point(point['coordinates']) + + def Polygon(self, polygon): + self.polygon(polygon['coordinates']) + + def obj(self, obj): + if obj is None: + self.outObj = None + elif not obj.has_key('type'): + self.outObj = {} + for fName in obj: + self.outObj[fName] = self.FeatureCollection(obj[fName]) + elif obj['type'] == 'Feature': + self.outObj = self.Feature(obj) + elif obj['type'] == 'FeatureCollection': + self.outObj = self.FeatureCollection(obj) + elif obj['type'] in TYPEGEOMETRIES: + self.outObj = self.geometry(obj) + return self.outObj + + def geometry(self, geometry): + if not geometry or geometry.get('type', None) not in TYPEGEOMETRIES: + return None + elif geometry['type'] == 'LineString': + return self.LineString(geometry) + elif geometry['type'] == 'MultiLineString': + return self.MultiLineString(geometry) + elif geometry['type'] == 'MultiPoint': + return self.MultiPoint(geometry) + elif geometry['type'] == 'MultiPolygon': + return self.MultiPolygon(geometry) + elif geometry['type'] == 'Point': + return self.Point(geometry) + elif geometry['type'] == 'Polygon': + return self.Polygon(geometry) + elif geometry['type'] == 'GeometryCollection': + return self.GeometryCollection(geometry) + + def point(self): + pass + + def line(self, coordinates): + for coordinate in coordinates: + self.point(coordinate) + + def polygon(self, coordinates): + for coordinate in coordinates: + self.line(coordinate) diff --git a/topojson/topology.py b/topojson/topology.py index 0733aa5..51d57b4 100644 --- a/topojson/topology.py +++ b/topojson/topology.py @@ -5,184 +5,204 @@ from bounds import bound from line import Line from clockwise import clock -from decimal import Decimal - -e = 1e-6 -def isInfinit(n): - return abs(n)==float('inf') - -def topology (objects, options=False): - Q = 1e4; # precision of quantization - id = lambda d:d['id'] - def propertyTransform (outprop, key, inprop): - outprop[key]=inprop - return True - stitchPoles = True - verbose = False - emax = 0 - system = False - objectName = 'name' - if type(options)==type({}): - if options.has_key('verbose'): - verbose = not not options['verbose'] - if options.has_key('stitch-poles'): - stitchPoles = not not options["stitch-poles"] - if options.has_key('coordinate-system'): - system = systems[options["coordinate-system"]] - if options.has_key('quantization'): - Q = float(options["quantization"]) - if options.has_key('id'): - id = options['id'] - if options.has_key('property-transform'): - propertyTransform = options["property-transform"] - if options.has_key('name'): - objectName = options['name'] - if objects.has_key('type') and objects['type']=='FeatureCollection': - objects = {objectName:objects} - ln = Line(Q) - - - [x0,x1,y0,y1]=bound(objects) - - oversize = x0 < -180 - e or x1 > 180 + e or y0 < -90 - e or y1 > 90 + e - if not system: - if oversize: - system = systems["cartesian"] - else: - system = systems["spherical"] - if type(options)==type({}): - options["coordinate-system"] = system['name'] - if system == systems['spherical']: - if oversize: - raise Exception(u"spherical coordinates outside of [±180°, ±90°]") - if stitchPoles: - stitch(objects) - [x0,x1,y0,y1]=bound(objects) - if x0 < -180 + e: - x0 = -180 - if x1 > 180 - e: - x1 = 180 - if y0 < -90 + e: - y0 = -90 - if y1 > 90 - e: - y1 = 90; - if isInfinit(x0): - x0 = 0 - if isInfinit(x1): - x1 = 0; - - if isInfinit(y0): - y0 = 0; - if isInfinit(y1): - y1 = 0; - [kx,ky]=makeKs(Q,x0,x1,y0,y1) - if not Q: - Q = x1 + 1 - x0 = y0 = 0 - class findEmax(types): - def __init__(self,obj): - self.emax=0 - self.obj(obj) - def point(self,point): - x1 = point[0] - y1 = point[1] - x = ((x1 - x0) * kx) - y =((y1 - y0) * ky) - ee = system['distance'](x1, y1, x / kx + x0, y / ky + y0) - if ee > self.emax: - self.emax = ee - point[0] = int(x) - point[1] = int(y) - finde=findEmax(objects) - emax = finde.emax - clock(objects,system['ringArea']) - class findCoincidences(types): - def line(self,line): - for point in line: - lines = ln.arcs.coincidenceLines(point) - if not line in lines: - lines.append(line) - fcInst = findCoincidences(objects) - polygon = lambda poly:map(ln.lineClosed,poly) - #Convert features to geometries, and stitch together arcs. - class makeTopo(types): - def Feature (self,feature): - geometry = feature["geometry"] - if feature['geometry'] == None: - geometry = {}; - if feature.has_key('id'): - geometry['id'] = feature['id'] - if feature.has_key('properties'): - geometry['properties'] = feature['properties'] - return self.geometry(geometry); - def FeatureCollection(self,collection): - collection['type'] = "GeometryCollection"; - collection['geometries'] = map(self.Feature,collection['features']) - del collection['features'] - return collection - def GeometryCollection(self,collection): - collection['geometries'] = map(self.geometry,collection['geometries']) - def MultiPolygon(self,multiPolygon): - multiPolygon['arcs'] = map(polygon,multiPolygon['coordinates']) - def Polygon(self,polygon): - polygon['arcs'] = map(ln.lineClosed,polygon['coordinates']) - def MultiLineString(self,multiLineString): - multiLineString['arcs'] = map(ln.lineOpen,multiLineString['coordinates']) - def LineString(self,lineString): - lineString['arcs'] = ln.lineOpen(lineString['coordinates']) - def geometry(self,geometry): - if geometry == None: - geometry = {}; - else: - types.geometry(self,geometry) - geometry['id'] = id(geometry) - if geometry['id'] == None: - del geometry['id'] - properties0 = geometry['properties'] - if properties0: - properties1 = {} - del geometry['properties'] - for key0 in properties0: - if propertyTransform(properties1, key0, properties0[key0]): - geometry['properties'] = properties1 - if geometry.has_key('arcs'): - del geometry['coordinates'] - return geometry; - makeTopoInst = makeTopo(objects) - return { - 'type': "Topology", - 'bbox': [x0, y0, x1, y1], - 'transform': { - 'scale': [1.0 / kx, 1.0 / ky], - 'translate': [x0, y0] - }, - 'objects': makeTopoInst.outObj, - 'arcs': ln.getArcs() - } - -def makeKs(Q,x0,x1,y0,y1): - [x,y]=[1,1] - if Q: - if x1 - x0: - x= (Q - 1.0) / (x1 - x0) - if y1 - y0: - y=(Q - 1.0) / (y1 - y0) - return [x,y] -def linesEqual(a, b): - if not(type(a)==type(b)==type([])): - return True - n = len(a); - i = 0 - if len(b) != n: - return False - while i < n: - if a[i] != b[i]: - return False; - i+=1 - return True; - -def pointCompare(a, b): - if isPoint(a) and isPoint(b): - return a[0] - b[0] or a[1] - b[1] - -isPoint = lambda x : type(x)==type([]) and len(x)==2 +import logging + +E = 1e-6 + +logging.basicConfig(format='%(asctime)s %(message)s') + + +def is_infinit(n): + return abs(n) == float('inf') + + +def topology(objects, stitch_poles=True, verbose=True, e_max=0, coordinate_system=None, object_name='name', + id_key='id', quantization_factor=1e4, property_transform=None): + + id_ = lambda d: d[id_key] + + if property_transform is None: + def property_transform(outprop, key, inprop): + outprop[key] = inprop + return True + + stitch_poles = True + verbose = False + e_max = 0 + object_name = 'name' + if coordinate_system: + system = systems[coordinate_system] + + if objects.has_key('type') and objects['type'] == 'FeatureCollection': + objects = {object_name: objects} + ln = Line(quantization_factor) + + [x0, x1, y0, y1] = bound(objects) + + oversize = x0 < -180 - E or x1 > 180 + E or y0 < -90 - E or y1 > 90 + E + if coordinate_system is None: + if oversize: + system = systems["cartesian"] + else: + system = systems["spherical"] + coordinate_system = system.name + + if coordinate_system == 'spherical': + if oversize: + raise Exception(u"spherical coordinates outside of [±180°, ±90°]") + if stitch_poles: + stitch(objects) + [x0, x1, y0, y1] = bound(objects) + if x0 < -180 + E: + x0 = -180 + if x1 > 180 - E: + x1 = 180 + if y0 < -90 + E: + y0 = -90 + if y1 > 90 - E: + y1 = 90 + + if is_infinit(x0): + x0 = 0 + if is_infinit(x1): + x1 = 0 + + if is_infinit(y0): + y0 = 0 + if is_infinit(y1): + y1 = 0 + + logging.debug("{}".format([x0, y0, x1, y1])) + + kx, ky = make_ks(quantization_factor, x0, x1, y0, y1) + if not quantization_factor: + quantization_factor = x1 + 1 + x0 = y0 = 0 + + class FindEmax(types): + def __init__(self, obj): + self.emax = 0 + self.obj = obj + + def point(self, point): + x1 = point[0] + y1 = point[1] + x = ((x1 - x0) * kx) + y = ((y1 - y0) * ky) + ee = system['distance'](x1, y1, x / kx + x0, y / ky + y0) + if ee > self.emax: + self.emax = ee + point[0] = int(x) + point[1] = int(y) + + finde = FindEmax(objects) + e_max = finde.emax + clock(objects, system.ring_area) + + class findCoincidences(types): + def line(self, line): + for point in line: + lines = ln.arcs.coincidenceLines(point) + if not line in lines: + lines.append(line) + + fcInst = findCoincidences(objects) + polygon = lambda poly: map(ln.lineClosed, poly) + + #Convert features to geometries, and stitch together arcs. + class makeTopo(types): + def Feature(self, feature): + geometry = feature["geometry"] + if feature['geometry'] == None: + geometry = {} + if feature.has_key('id'): + geometry['id'] = feature['id'] + if feature.has_key('properties'): + geometry['properties'] = feature['properties'] + return self.geometry(geometry) + + def FeatureCollection(self, collection): + collection['type'] = "GeometryCollection" + collection['geometries'] = map(self.Feature, collection['features']) + del collection['features'] + return collection + + def GeometryCollection(self, collection): + collection['geometries'] = map(self.geometry, collection['geometries']) + + def MultiPolygon(self, multiPolygon): + multiPolygon['arcs'] = map(polygon, multiPolygon['coordinates']) + + def Polygon(self, polygon): + polygon['arcs'] = map(ln.lineClosed, polygon['coordinates']) + + def MultiLineString(self, multiLineString): + multiLineString['arcs'] = map(ln.lineOpen, multiLineString['coordinates']) + + def LineString(self, lineString): + lineString['arcs'] = ln.lineOpen(lineString['coordinates']) + + def geometry(self, geometry): + if geometry is None: + geometry = {} + else: + types.geometry(self, geometry) + geometry['id'] = id_(geometry) + if geometry['id'] is None: + del geometry['id'] + properties0 = geometry['properties'] + if properties0: + properties1 = {} + del geometry['properties'] + for key0 in properties0: + if property_transform(properties1, key0, properties0[key0]): + geometry['properties'] = properties1 + if 'arcs' in geometry: + del geometry['coordinates'] + return geometry + + makeTopoInst = makeTopo(objects) + return { + 'type': "Topology", + 'transform': { + 'scale': [1.0 / kx, 1.0 / ky], + 'translate': [x0, y0] + }, + 'objects': makeTopoInst.outObj, + 'arcs': ln.getArcs() + } + + +def make_ks(Q, x0, x1, y0, y1): + [x, y] = [1, 1] + if Q: + if x1 - x0: + x = (Q - 1.0) / (x1 - x0) + if y1 - y0: + y = (Q - 1.0) / (y1 - y0) + return [x, y] + + +def lines_equal(a, b): + for arg in (a, b): + if not isinstance(arg, list): + return False + return a == b + + +def distinct_point(a, b): + if is_point(a) and is_point(b): + return a != b + return True + + +def is_point(p): + if isinstance(p, basestring): + return False + + try: + float(p[0]), float(p[1]) + except (TypeError, IndexError, ValueError): + return False + else: + return len(p) == 2