InversePDE / data /PDE2D /Coefficient /coefficient_utils.py
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from matplotlib.patches import Polygon
import numpy as np
def build_grid_squares(points_per_edge, resolution, bbox, ax=None):
xscale = bbox[1][0] - bbox[0][0]
yscale = bbox[1][1] - bbox[0][1]
binx = xscale / resolution[0]
biny = yscale / resolution[1]
stepx = binx / points_per_edge
stepy = biny / points_per_edge
points = np.zeros([0, 2])
for i in range(resolution[0]):
for j in range(resolution[1]):
vec = np.zeros([4 * points_per_edge + 1, 2])
vec[0:points_per_edge, 0] = np.arange(
i * binx, (i+1) * binx, stepx)[0:points_per_edge]
vec[0:points_per_edge, 1] = -j * biny
vec[points_per_edge: 2 * points_per_edge, 0] = (i+1) * binx
vec[points_per_edge: 2 * points_per_edge,
1] = np.arange(-j * biny, -(j+1) * biny, -stepy)[0:points_per_edge]
vec[2 * points_per_edge: 3 * points_per_edge,
0] = np.arange((i+1) * binx, i * binx, -stepx)[0:points_per_edge]
vec[2 * points_per_edge: 3 * points_per_edge, 1] = - (j + 1) * biny
vec[3 * points_per_edge: 4 * points_per_edge, 0] = i * binx
vec[3 * points_per_edge: 4 * points_per_edge,
1] = np.arange(-(j+1) * biny, -j * biny, stepy)[0:points_per_edge]
vec[-1] = vec[0]
vec += np.array([bbox[0][0], bbox[1][1]])
points = np.vstack([points, vec])
if (ax is not None):
color = 'red' if (i+j) % 2 == 1 else "blue"
polygon = Polygon(vec, edgecolor=None, facecolor=color)
ax.add_patch(polygon)
return points.T
def sketch_grid_squares(points, points_per_edge, resolution, ax):
num_points = points.shape[0] // (4 * points_per_edge + 1)
for i in range(num_points):
p = points[i * (4 * points_per_edge + 1): (i+1)
* (4 * points_per_edge + 1)]
color = 'red' if (
((i // resolution[0]) + (i % resolution[1])) % 2 == 0) else "blue"
polygon = Polygon(p, edgecolor=None, facecolor=color)
ax.add_patch(polygon)
disable_ticks(ax)
def disable_ticks(ax):
"""Disable ticks around plot (useful for displaying images)"""
ax.axes.get_xaxis().set_ticklabels([])
ax.axes.get_yaxis().set_ticklabels([])
ax.axes.get_xaxis().set_ticks([])
ax.axes.get_yaxis().set_ticks([])