def objective_a(k):
mp.k = k
iv = mapproj.transeach(mp.invtransform, gridp)
arealist = []
for p in iv.geometry:
area, _ = geod.geometry_area_perimeter(p)
arealist.append(area)
return max(arealist)/min(arealist)
def objective_l(k):
mp.k = k
iv = mapproj.transeach(mp.invtransform, gridp)
alist = []
for p in iv.geometry:
coords = np.array(p.exterior.xy)
l = geod.line_lengths(coords[0], coords[1])
aspect = max(l)/min(l)
alist.append(aspect)
return max(alist)
ctrlpolys[name] = cp
nctrlpts[name] = i
#pois = poi.to_crs(crs)
dp = mapproj.ptseriestoarray(degpts.to_crs(crs)).reshape(adegpts.shape)
if i == 3:
gscale = cp[5].xy[1][0] / tgtpts3[1, 2]
elif i == 4:
gscale = cp[7].xy[1][0] * 2
#gscale3 = pois[name][0].xy[1]/tgtpts3[1, 0]
#dp = degptss[name]
degptss[name] = dp / gscale
def transform_gscale(x, y):
return x / gscale, y / gscale
worlds[name] = mapproj.transeach(transform_gscale, worlds[name])
grats[name] = mapproj.transeach(transform_gscale, grats[name])
ctrlpolys[name] = mapproj.transeach(transform_gscale, ctrlpolys[name])
#pois[name] = mapproj.transeach(transform_gscale, pois[name])
#not-barycentric projections implemented here
projs = { #'Chamberlin Trimetric': mapproj.ChambTrimetric(actrlpts, geod),#not polygonal
#'Linear Trimetric': mapproj.LinearTrimetric(actrlpts, geod),#not polygonal
#'Conformal2': mapproj.ConformalTri(actrlpts, tgtpts),#buggy
'Conformal': mapproj.ConformalTri3(actrlpts3, tgtpts3),
'Crider': mapproj.CriderEq(actrlpts4),
'Snyder Equal-Area 4': mapproj.SnyderEA4(actrlpts4)
}
for name in projs:
print(name)
geod = pyproj.Geod(a=6371, f=0)
world = geopandas.read_file(geopandas.datasets.get_path('naturalearth_lowres'))
a = np.arctan(1 / 2) / np.pi * 180
actrlpts3 = np.array([[15 + 0, 15 + 36, 15 - 36], [-a, a, a]])
ctrlpoly3 = mapproj.geodesics(actrlpts3[0],
actrlpts3[1],
geod,
includepts=True)
a = 180 / np.pi * np.arctan(1 / np.sqrt(2))
actrlpts4 = np.array([[0, 90, 90, 0], [-a, -a, a, a]])
ctrlpoly4 = mapproj.geodesics(actrlpts4[0],
actrlpts4[1],
geod,
includepts=True)
antipodepoly3 = mapproj.transeach(mapproj.transform_antipode, ctrlpoly3)
antipodepoly4 = mapproj.transeach(mapproj.transform_antipode, ctrlpoly4)
#cycle3 = [0,1,2,0]
#sidelengths3 = geod.line_lengths(actrlpts3[0][cycle], actrlpts3[1][cycle])
#print(sidelengths3)
#tgtpts3 = mapproj.trigivenlengths(sidelengths3)
adegpts = np.array(
np.meshgrid(np.linspace(-180, 180, 361), np.linspace(-90, 90, 181)))
#%%
projs = { #'Conformal': mapproj.ConformalTri3(actrlpts3, tgtpts3),
#'Linear Trimetric': mapproj.LinearTrimetric(actrlpts3, geod),
#'Areal': mapproj.Areal(actrlpts3),
#'Fuller explicit': mapproj.FullerEq(actrlpts3),
#'Fuller': mapproj.FullerTri(actrlpts3, tweak=False),
'Naive Slerp Quad 2 1': mapproj.NSlerpQuad2(actrlpts4, k=1),
'Naive Slerp Quad 2~ 1': mapproj.NSlerpQuad2(actrlpts4, k=1, exact=False),
'Elliptical 0': mapproj.EllipticalQuad(actrlpts4, k=0),
'Elliptical 1': mapproj.EllipticalQuad(actrlpts4, k=1),
'Elliptical~ 1': mapproj.EllipticalQuad(actrlpts4, k=1, exact=False),
'Snyder Equal-Area 4': mapproj.SnyderEA4(actrlpts4)
})
for name in projs:
print(name)
mp = projs[name]
i = mp.nctrlpts
nctrlpts[name] = i
#invbary[name] = mapproj.transeach(mp.invtransform, bary)
if i == 3:
invframe[name] = mapproj.transeach(mp.invtransform, gridp3)
testshapet[name] = mapproj.transeach(mp.invtransform, testshape3)
elif i == 4:
invframe[name] = mapproj.transeach(mp.invtransform, gridp4)
testshapet[name] = mapproj.transeach(mp.invtransform, testshape4)
#%%
testshapez3 = mapproj.transeach(bp.transform, testshape3)
gridpz3 = mapproj.transeach(bp.transform, gridp3)
projs2 = {'Conformal': mapproj.ConformalTri3(actrlpts3, tgtpts3),#slow
#'Linear Trimetric': mapproj.LinearTrimetric(actrlpts3, geod),#no
}
for name in projs2:
print(name)
mp = projs2[name]
i = mp.nctrlpts