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#!/usr/bin/env python
import math
import sys
from nose.tools import assert_almost_equal, eq_
import mapnik
from .utilities import assert_box2d_almost_equal, run_all
PYTHON3 = sys.version_info[0] == 3
if PYTHON3:
xrange = range
# Tests that exercise map projections.
def test_normalizing_definition():
p = mapnik.Projection('+init=epsg:4326')
expanded = p.expanded()
eq_('+proj=longlat' in expanded, True)
# Trac Ticket #128
def test_wgs84_inverse_forward():
p = mapnik.Projection('+init=epsg:4326')
c = mapnik.Coord(3.01331418311, 43.3333092669)
e = mapnik.Box2d(-122.54345245, 45.12312553, 68.2335581353, 48.231231233)
# It appears that the y component changes very slightly, is this OK?
# so we test for 'almost equal float values'
assert_almost_equal(p.inverse(c).y, c.y)
assert_almost_equal(p.inverse(c).x, c.x)
assert_almost_equal(p.forward(c).y, c.y)
assert_almost_equal(p.forward(c).x, c.x)
assert_almost_equal(p.inverse(e).center().y, e.center().y)
assert_almost_equal(p.inverse(e).center().x, e.center().x)
assert_almost_equal(p.forward(e).center().y, e.center().y)
assert_almost_equal(p.forward(e).center().x, e.center().x)
assert_almost_equal(c.inverse(p).y, c.y)
assert_almost_equal(c.inverse(p).x, c.x)
assert_almost_equal(c.forward(p).y, c.y)
assert_almost_equal(c.forward(p).x, c.x)
assert_almost_equal(e.inverse(p).center().y, e.center().y)
assert_almost_equal(e.inverse(p).center().x, e.center().x)
assert_almost_equal(e.forward(p).center().y, e.center().y)
assert_almost_equal(e.forward(p).center().x, e.center().x)
def wgs2merc(lon, lat):
x = lon * 20037508.34 / 180
y = math.log(math.tan((90 + lat) * math.pi / 360)) / (math.pi / 180)
y = y * 20037508.34 / 180
return [x, y]
def merc2wgs(x, y):
x = (x / 20037508.34) * 180
y = (y / 20037508.34) * 180
y = 180 / math.pi * \
(2 * math.atan(math.exp(y * math.pi / 180)) - math.pi / 2)
if x > 180:
x = 180
if x < -180:
x = -180
if y > 85.0511:
y = 85.0511
if y < -85.0511:
y = -85.0511
return [x, y]
# echo -109 37 | cs2cs -f "%.10f" +init=epsg:4326 +to +init=epsg:3857
#-12133824.4964668211 4439106.7872505859 0.0000000000
# todo
# benchmarks
# better well known detection
# better srs matching with strip/trim
# python copy to avoid crash
def test_proj_transform_between_init_and_literal():
one = mapnik.Projection('+init=epsg:4326')
two = mapnik.Projection('+init=epsg:3857')
tr1 = mapnik.ProjTransform(one, two)
tr1b = mapnik.ProjTransform(two, one)
wgs84 = '+proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs'
merc = '+proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0.0 +k=1.0 +units=m +nadgrids=@null +wktext +no_defs +over'
src = mapnik.Projection(wgs84)
dest = mapnik.Projection(merc)
tr2 = mapnik.ProjTransform(src, dest)
tr2b = mapnik.ProjTransform(dest, src)
for x in xrange(-180, 180, 10):
for y in xrange(-60, 60, 10):
coord = mapnik.Coord(x, y)
merc_coord1 = tr1.forward(coord)
merc_coord2 = tr1b.backward(coord)
merc_coord3 = tr2.forward(coord)
merc_coord4 = tr2b.backward(coord)
eq_(math.fabs(merc_coord1.x - merc_coord1.x) < 1, True)
eq_(math.fabs(merc_coord1.x - merc_coord2.x) < 1, True)
eq_(math.fabs(merc_coord1.x - merc_coord3.x) < 1, True)
eq_(math.fabs(merc_coord1.x - merc_coord4.x) < 1, True)
eq_(math.fabs(merc_coord1.y - merc_coord1.y) < 1, True)
eq_(math.fabs(merc_coord1.y - merc_coord2.y) < 1, True)
eq_(math.fabs(merc_coord1.y - merc_coord3.y) < 1, True)
eq_(math.fabs(merc_coord1.y - merc_coord4.y) < 1, True)
lon_lat_coord1 = tr1.backward(merc_coord1)
lon_lat_coord2 = tr1b.forward(merc_coord2)
lon_lat_coord3 = tr2.backward(merc_coord3)
lon_lat_coord4 = tr2b.forward(merc_coord4)
eq_(math.fabs(coord.x - lon_lat_coord1.x) < 1, True)
eq_(math.fabs(coord.x - lon_lat_coord2.x) < 1, True)
eq_(math.fabs(coord.x - lon_lat_coord3.x) < 1, True)
eq_(math.fabs(coord.x - lon_lat_coord4.x) < 1, True)
eq_(math.fabs(coord.y - lon_lat_coord1.y) < 1, True)
eq_(math.fabs(coord.y - lon_lat_coord2.y) < 1, True)
eq_(math.fabs(coord.y - lon_lat_coord3.y) < 1, True)
eq_(math.fabs(coord.y - lon_lat_coord4.y) < 1, True)
# Github Issue #2648
def test_proj_antimeridian_bbox():
# this is logic from feature_style_processor::prepare_layer()
PROJ_ENVELOPE_POINTS = 20 # include/mapnik/config.hpp
prjGeog = mapnik.Projection('+init=epsg:4326')
prjProj = mapnik.Projection('+init=epsg:2193')
prj_trans_fwd = mapnik.ProjTransform(prjProj, prjGeog)
prj_trans_rev = mapnik.ProjTransform(prjGeog, prjProj)
# bad = mapnik.Box2d(-177.31453250437079, -62.33374815225163, 178.02778363316355, -24.584597490955804)
better = mapnik.Box2d(-180.0, -62.33374815225163,
180.0, -24.584597490955804)
buffered_query_ext = mapnik.Box2d(274000, 3087000, 3327000, 7173000)
fwd_ext = prj_trans_fwd.forward(buffered_query_ext, PROJ_ENVELOPE_POINTS)
assert_box2d_almost_equal(fwd_ext, better)
# check the same logic works for .backward()
ext = mapnik.Box2d(274000, 3087000, 3327000, 7173000)
rev_ext = prj_trans_rev.backward(ext, PROJ_ENVELOPE_POINTS)
assert_box2d_almost_equal(rev_ext, better)
# checks for not being snapped (ie. not antimeridian)
normal = mapnik.Box2d(148.766759749, -60.1222810238,
159.95484893, -24.9771195151)
buffered_query_ext = mapnik.Box2d(274000, 3087000, 276000, 7173000)
fwd_ext = prj_trans_fwd.forward(buffered_query_ext, PROJ_ENVELOPE_POINTS)
assert_box2d_almost_equal(fwd_ext, normal)
# check the same logic works for .backward()
ext = mapnik.Box2d(274000, 3087000, 276000, 7173000)
rev_ext = prj_trans_rev.backward(ext, PROJ_ENVELOPE_POINTS)
assert_box2d_almost_equal(rev_ext, normal)
if __name__ == "__main__":
exit(run_all(eval(x) for x in dir() if x.startswith("test_")))
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