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November 2, 2022 20:43
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Geometry Utility Functions
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import math | |
from shapely.geometry import Point, LineString, Polygon, MultiPolygon | |
def create_rectangle(x, y, width, depth, angle): | |
width_theta = math.radians(angle) | |
width_x = width * math.cos(width_theta) | |
width_y = width * math.sin(width_theta) | |
depth_theta = math.radians(angle + 90) | |
depth_x = depth * math.cos(depth_theta) | |
depth_y = depth * math.sin(depth_theta) | |
x0 = x | |
y0 = y | |
x1 = x + width_x | |
y1 = y + width_y | |
x2 = x + width_x + depth_x | |
y2 = y + width_y + depth_y | |
x3 = x + depth_x | |
y3 = y + depth_y | |
poly = Polygon([(x0, y0), (x1, y1), (x2, y2), (x3, y3)]) | |
return poly | |
def create_point(x, y, angle, distance): | |
t = math.radians(angle) | |
new_x = x + distance * math.cos(t) | |
new_y = y + distance * math.sin(t) | |
return Point(new_x, new_y) | |
def find_angle(a, b, c): | |
# c | / a | |
# | / | |
# | / | |
# b |/ | |
ba = (a.y - b.y, a.x - b.x) | |
bc = (c.y - b.y, c.x - b.x) | |
ang = math.degrees(math.atan2(bc[0], bc[1]) - math.atan2(ba[0], ba[1])) | |
ang = ang + 360 if ang < 0 else ang | |
return ang | |
def xy(ring): | |
r_xs, r_ys = list(), list() | |
for pt in ring.coords: | |
r_xs.append(pt[0]) | |
r_ys.append(pt[1]) | |
return r_xs, r_ys | |
def linestring_list_xy(lines): | |
l_xs, l_ys = list(), list() | |
for line in lines: | |
xs, ys = xy(line) | |
l_xs.append(xs) | |
l_ys.append(ys) | |
return l_xs, l_ys | |
def polygon_xy(poly): | |
p_xs, p_ys = list(), list() | |
x, y = xy(poly.exterior) | |
p_xs.append(x) | |
p_ys.append(y) | |
for hole in poly.interiors: | |
x, y = xy(hole) | |
p_xs.append(x) | |
p_ys.append(y) | |
return p_xs, p_ys | |
def multipolygon_xy(geom): | |
mp_xs, mp_ys = list(), list() | |
mp = MultiPolygon([geom]) if type(geom) == Polygon else geom | |
for poly in mp.geoms: | |
p_xs, p_ys = polygon_xy(poly) | |
mp_xs.append(p_xs) | |
mp_ys.append(p_ys) | |
return mp_xs, mp_ys | |
def multipolygon_list_xy(geoms): | |
xs, ys = list(), list() | |
for geom in geoms: | |
mp_xs, mp_ys = multipolygon_xy(geom) | |
xs.append(mp_xs) | |
ys.append(mp_ys) | |
return xs, ys | |
def point_list_xy(points): | |
x, y = list(), list() | |
for pt in points: | |
x.append(pt.x) | |
y.append(pt.y) | |
return x, y | |
def create_slice_line(x, y, width, depth, angle, slices): | |
buf_dist = 1 | |
slices = round(slices) | |
s = create_point(x, y, angle - 90, buf_dist) | |
pts = list() | |
for i in range(slices - 1): | |
p0 = pts[(i * 2) - 1] if len(pts) else s | |
p1 = create_point(p0.x, p0.y, angle, width / slices) | |
p2 = create_point(p1.x, p1.y, angle + (-90 if i % 2 else 90), depth + buf_dist * 2) | |
pts.extend([p1, p2]) | |
l = LineString([(pt.x, pt.y) for pt in pts]) | |
return l |
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