Current File : //proc/thread-self/root/opt/alt/python37/lib/python3.7/site-packages/svgwrite/extensions/shapes.py
"""
Extension to create and manipulate shapes
"""
# Copyright (c) 2019 Christof Hanke (christof.hanke@induhviduals.de)
# License: MIT License
import math
def ngon(num_corners, edge_length=None, radius=None, rotation=0.):
"""
Returns the corners of a regular polygon as iterable of (x, y) tuples. The polygon size is determined by the
`edge_length` or the `radius` argument. If both are given `edge_length` will be taken.
Args:
num_corners: count of polygon corners
edge_length: length of polygon side
radius: circum radius
rotation: rotation angle in radians
Returns: iterable of (x, y) tuples
"""
if num_corners < 3:
raise ValueError('Argument `num_corners` has to be greater than 2.')
if edge_length is not None:
radius = edge_length / 2. / math.sin(math.pi / num_corners)
elif radius is not None:
if radius <= 0.:
raise ValueError('Argument `radius` has to be greater than 0.')
else:
raise ValueError('Argument `edge_length` or `radius` required.')
delta = 2. * math.pi / num_corners
angle = rotation
for _ in range(num_corners):
yield (radius * math.cos(angle), radius * math.sin(angle))
angle += delta
def star(spikes, r1, r2, rotation=0.):
"""
Create a star shape as iterable of (x, y) vertices.
Argument `spikes` defines the count of star spikes, `r1` defines the radius of the "outer" vertices and `r2`
defines the radius of the "inner" vertices, but this does not mean that `r1` has to greater than `r2`.
Args:
spikes: spike count
r1: radius 1
r2: radius 2
rotation: rotation angle in radians
Returns: iterable of (x, y) tuples
"""
if spikes < 3:
raise ValueError('Argument `spikes` has to be greater than 2.')
if r1 <= 0.:
raise ValueError('Argument `r1` has to be greater than 0.')
if r2 <= 0.:
raise ValueError('Argument `r2` has to be greater than 0.')
corners1 = ngon(spikes, radius=r1, rotation=rotation)
corners2 = ngon(spikes, radius=r2, rotation=math.pi/spikes+rotation)
for s1, s2 in zip(corners1, corners2):
yield s1
yield s2
def translate(vertices, delta_x, delta_y):
"""
Translates `vertices` about `delta_x` and `delta_y`
Args:
vertices: iterable of (x, y) tuples
delta_x: translation in x axis
delta_y: translation in y axis
Returns: iterable of (x, y) tuples
"""
for x, y in vertices:
yield (x + delta_x, y + delta_y)
def scale(vertices, scale_x, scale_y):
"""
Scales `vertices` about `scale_x` and `scale_y`
Args:
vertices: iterable of (x, y) tuples
scale_x: scaling factor in x axis direction
scale_y: scaling factor in y axis direction
Returns: iterable of (x, y) tuples
"""
for x, y in vertices:
yield (x * scale_x, y * scale_y)
def rotate(vertices, delta):
"""
Rotates `vertices` about `delta` degrees around the origin (0, 0).
Args:
vertices: iterable of (x, y) tuples
delta: rotation angle in radians
Returns: iterable of (x, y) tuples
"""
for x, y in vertices:
r = math.hypot(x, y)
angle = math.atan2(y, x) + delta
yield (r * math.cos(angle), r * math.sin(angle))
def centroid(vertices):
"""
Returns the centroid of a series of `vertices`.
"""
k, c_x, c_y = 0, 0, 0
for x, y in vertices:
c_x += x
c_y += y
k += 1
c_x = float(c_x / k)
c_y = float(c_y / k)
return c_x, c_y
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