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Merge from upstream and repaired cmf_wrap.cpp
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Original file line number | Diff line number | Diff line change |
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import numpy as np | ||
import scipy.spatial as scsp | ||
from shapely.geometry import Polygon | ||
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from .. import project as Project | ||
from . import create_cell, mesh_project | ||
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def delaunay_cells(project: Project, x, y, z): | ||
""" | ||
Creates a mesh using delaunay triangles between the given coordinates as cells. | ||
cell.x, cell.y and cell.z represent the centroid of the cell. This results in loss of information. | ||
In most cases one would use the voronoi_cells function | ||
x, y and z must have the same length | ||
:param project: | ||
:param x: sequence of x coordinates | ||
:param y: sequence of y coordinates | ||
:param z: sequence of heights | ||
:return: list of cells | ||
""" | ||
points = np.array([x, y]).T | ||
tri = scsp.Delaunay(points) | ||
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def get_edge_length(tri: scsp.Delaunay, tri1: int, tri2: int): | ||
try: | ||
n1, n2 = set(tri.simplices[tri1]) & set(tri.simplices[tri2]) | ||
except ValueError: | ||
raise ValueError( | ||
f'Triangle {tri1}:{tri.simplices[tri1]} and {tri2}:{tri.simplices[tri2]} do not share an edge') | ||
c1, c2 = tri.points[[n1, n2]] | ||
return np.sqrt(((c1 - c2) ** 2).sum()) | ||
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def get_polygons(tri: scsp.Delaunay): | ||
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return [ | ||
Polygon(tri.points[s]) | ||
for s in tri.simplices | ||
] | ||
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def get_heights(tri: scsp.Delaunay, z): | ||
return z[tri.simplices].mean(1) | ||
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polys = get_polygons(tri) | ||
z_cell = get_heights(tri, z) | ||
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cells = [ | ||
create_cell(project, polygon, height) | ||
for polygon, height in zip(polys, z_cell) | ||
] | ||
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for i, c in enumerate(cells): | ||
for n in tri.neighbors[i]: | ||
if n >= 0: | ||
l = get_edge_length(tri, i, n) | ||
c.topology.AddNeighbor(cells[n], l) | ||
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return cells | ||
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# %% | ||
def __voronoi_finite_polygons_2d(vor, radius=None): | ||
""" | ||
Reconstruct infinite voronoi regions in a 2D diagram to finite | ||
regions. | ||
Parameters | ||
---------- | ||
vor : Voronoi | ||
Input diagram | ||
radius : float, optional | ||
Distance to 'points at infinity'. | ||
Returns | ||
------- | ||
regions : list of tuples | ||
Indices of vertices in each revised Voronoi regions. | ||
vertices : list of tuples | ||
Coordinates for revised Voronoi vertices. Same as coordinates | ||
of input vertices, with 'points at infinity' appended to the | ||
end. | ||
""" | ||
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if vor.points.shape[1] != 2: | ||
raise ValueError("Requires 2D input") | ||
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new_regions = [] | ||
new_vertices = vor.vertices.tolist() | ||
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center = vor.points.mean(axis=0) | ||
if radius is None: | ||
radius = vor.points.ptp(axis=0).max() | ||
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# Construct a map containing all ridges for a given point | ||
all_ridges = {} | ||
for (p1, p2), (v1, v2) in zip(vor.ridge_points, vor.ridge_vertices): | ||
all_ridges.setdefault(p1, []).append((p2, v1, v2)) | ||
all_ridges.setdefault(p2, []).append((p1, v1, v2)) | ||
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# Reconstruct infinite regions | ||
for p1, region in enumerate(vor.point_region): | ||
vertices = vor.regions[region] | ||
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if all(v >= 0 for v in vertices): | ||
# finite region | ||
new_regions.append(vertices) | ||
continue | ||
elif p1 not in all_ridges: | ||
continue | ||
# reconstruct a non-finite region | ||
ridges = all_ridges[p1] | ||
new_region = [v for v in vertices if v >= 0] | ||
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for p2, v1, v2 in ridges: | ||
if v2 < 0: | ||
v1, v2 = v2, v1 | ||
if v1 >= 0: | ||
# finite ridge: already in the region | ||
continue | ||
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# Compute the missing endpoint of an infinite ridge | ||
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t = vor.points[p2] - vor.points[p1] # tangent | ||
t /= np.linalg.norm(t) | ||
n = np.array([-t[1], t[0]]) # normal | ||
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midpoint = vor.points[[p1, p2]].mean(axis=0) | ||
direction = np.sign(np.dot(midpoint - center, n)) * n | ||
far_point = vor.vertices[v2] + direction * radius | ||
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new_region.append(len(new_vertices)) | ||
new_vertices.append(far_point.tolist()) | ||
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# sort region counterclockwise | ||
vs = np.asarray([new_vertices[v] for v in new_region]) | ||
c = vs.mean(axis=0) | ||
angles = np.arctan2(vs[:, 1] - c[1], vs[:, 0] - c[0]) | ||
new_region = np.array(new_region)[np.argsort(angles)] | ||
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# finish | ||
new_regions.append(new_region.tolist()) | ||
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return new_regions, np.asarray(new_vertices) | ||
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def voronoi_polygons(x, y, buffer=0.0, mask=None): | ||
""" | ||
Creates closed voronoi polygons for x and y coordinates. With voronoi_cells, cmf cells are easily created | ||
from x, y and z coordinates. Use this function directly only, if you need to process the voronoi polygons further, | ||
eg. with unions of landuse or soil maps. | ||
If this throws an unclear error, make sure you do not have any duplicate coordinates | ||
:param x: a sequence of x values | ||
:param y: a sequence of y values | ||
:param buffer: a float indicating the buffer around the hull. Expressed as a fraction of the sqrt of the hull's area | ||
:param mask: a polygon to use as a mask. If given, the convex hull is ignored | ||
:return: A list of polygons | ||
""" | ||
points = np.array([x, y]).T | ||
vor = scsp.Voronoi(points) | ||
if not mask: | ||
hull = Polygon(points[scsp.ConvexHull(points).vertices]) | ||
mask = hull.buffer(buffer * hull.area ** 0.5) | ||
regions, vertices = __voronoi_finite_polygons_2d(vor) | ||
return [Polygon(vertices[r]).intersection(mask) for r in regions] | ||
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def voronoi_cells(project: Project, x, y, z, buffer=0.0, mask=None): | ||
""" | ||
Creates for each (x, y, z) coordinate a voronoi (nearest neighbor) cell. | ||
The cells are cut of at a buffer around the convex hull of the point or using a mask. | ||
For each coordinate a cell is created. | ||
If this throws an unclear error, make sure you do not have any duplicate coordinates | ||
:param project: The cmf project | ||
:param x: a sequence of x values | ||
:param y: a sequence of x values | ||
:param z: a sequence of x values | ||
:param buffer: a float indicating the buffer around the hull. Expressed as a fraction of the sqrt of the hull's area | ||
:param mask: a polygon to use as a mask. If given, the convex hull is ignored | ||
:return: list of cells | ||
""" | ||
def make_cell(project, x, y, z, shape, Id=None, with_surfacewater=False): | ||
cell = project.NewCell(x, y, z, shape.area, with_surfacewater=with_surfacewater) | ||
cell.geometry = shape | ||
if Id is not None: | ||
cell.Id = Id | ||
return cell | ||
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vpolys = voronoi_polygons(x, y, z, buffer, mask) | ||
cells = [ | ||
make_cell(project, x[i], y[i], z[i], vpolys[i], Id=i, with_surfacewater=True) | ||
for i in range(len(x)) | ||
] | ||
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mesh_project(project) | ||
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return cells | ||
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import cmf | ||
from matplotlib import pyplot as plt | ||
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p = cmf.project('X') | ||
X, = p.solutes | ||
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V1 = p.NewStorage('V1', 0, 0, 0) | ||
V2 = p.NewStorage('V2', 1, 0, 0) | ||
V3 = p.NewStorage('V3', 0, 0, 1) | ||
V4 = p.NewStorage('V4', 1, 0, 1) | ||
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NB = p.NewNeumannBoundary('NB', V1) | ||
NB.flux = 1 | ||
NB.concentration[X] = 1 | ||
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DB = p.NewOutlet('DB', -1, 0, 0) | ||
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q_nb_1 = NB.connection_to(V1) | ||
q_1_2 = cmf.LinearStorageConnection(V1, V2, 0.1) | ||
q_1_3 = cmf.LinearStorageConnection(V1, V3, 0.5) | ||
q_2_4 = cmf.LinearStorageConnection(V2, V4, 1) | ||
q_4_3 = cmf.LinearStorageConnection(V4, V3, 0.5) | ||
q_3_out = cmf.LinearStorageConnection(V3, DB, 1) | ||
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V2[X].decay = 0.5 | ||
V4[X].decay = 0.5 | ||
V3[X].decay = 0.1 | ||
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for S in [V1, V2, V3, V4]: | ||
S.volume = 0.0 | ||
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solver = cmf.CVodeDiag(p) | ||
solver.t = cmf.Time() | ||
solver.integrate_until(cmf.year) | ||
print(solver.get_info()) | ||
t = solver.t | ||
plt.imshow(solver.get_jacobian(), vmin=-1, vmax=1, cmap=plt.cm.coolwarm) | ||
plt.colorbar() |
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demo/simple_squared_3d.py → demo/subsurface/simple_squared_3d.py
100755 → 100644
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