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vector_drawing.py
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vector_drawing.py
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from math import sqrt, pi, ceil, floor, sin, cos
import matplotlib
import matplotlib.patches
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.pyplot import xlim, ylim
blue = 'C0'
black = 'k'
red = 'C3'
green = 'C2'
purple = 'C4'
orange = 'C2'
gray = 'gray'
class Polygon():
def __init__(self, *vertices, color=blue, fill=None, alpha=0.4) -> None:
self.vertices = vertices
self.color = color
self.fill = fill
self.alpha = alpha
class Points():
def __init__(self, *vectors, color=black) -> None:
self.vectors = list(vectors)
self.color = color
class Arrow():
def __init__(self, tip, tail=(0,0), color=red):
self.tip = tip
self.tail = tail
self.color = color
class Segment():
def __init__(self, start_point, end_point, color=blue):
self.start_point = start_point
self.end_point = end_point
self.color = color
def add_vectors(*vectors):
return[sum(v[0] for v in vectors), sum(v[1] for v in vectors)]
def extract_vectors(objects):
for object in objects:
if type(object) == Polygon:
for v in object.vertices:
yield v
elif type(object) == Points:
for v in object.vectors:
yield v
elif type(object) == Arrow:
yield object.tip
yield object.tail
elif type(object) == Segment:
yield object.start_point
yield object.end_point
else:
raise TypeError("Unrecognized object: {}".format(object))
def draw(*objects, origin=True, axes=True, grid=(1,1), nice_aspect_ratio=True,
width=6, save_as=None):
all_vectors = list(extract_vectors(objects))
xs, ys = zip(*all_vectors)
max_x, max_y, min_x, min_y = max(0,*xs), max(0,*ys), min(0,*xs), min(0,*ys)
#sizing
if grid:
x_padding = max(ceil(0.05*(max_x-min_x)), grid[0])
y_padding = max(ceil(0.05*(max_y-min_y)), grid[1])
def round_up_to_multiple(val, size):
return floor((val + size)/size) * size
def round_down_to_multiple(val, size):
return -floor((-val - size) / size) * size
plt.xlim(floor((min_x - x_padding) / grid[0]) * grid[0],
ceil((max_x + x_padding) / grid[0]) * grid[0])
plt.ylim(floor((min_y - y_padding) / grid[1]) * grid[1],
ceil((max_y + y_padding) / grid[1]) * grid[1])
if origin:
plt.scatter([0], [0], color=black, marker='x')
if grid:
plt.gca().set_xticks(np.arange(plt.xlim()[0],plt.xlim()[1],grid[0]))
plt.gca().set_yticks(np.arange(plt.ylim()[0],plt.ylim()[1],grid[1]))
plt.grid(True)
plt.gca().set_axisbelow(True)
if axes:
plt.gca().axhline(linewidth=2, color=black)
plt.gca().axvline(linewidth=2, color=black)
for object in objects:
if type(object) == Polygon:
for i in range(0,len(object.vertices)):
x1, y1 = object.vertices[i]
x2, y2 = object.vertices[(i+1)%len(object.vertices)]
plt.plot([x1,x2],[y1,y2], color=object.color)
if object.fill:
xs = [v[0] for v in object.vertices]
ys = [v[1] for v in object.vertices]
plt.gca().fill(xs,ys,object.fill,alpha=object.alpha)
elif type(object) == Points:
xs = [v[0] for v in object.vectors]
ys = [v[1] for v in object.vectors]
plt.scatter(xs,ys,color=object.color)
elif type(object) == Arrow:
tip, tail = object.tip, object.tail
tip_length = (xlim()[1] - xlim()[0]) / 20.
length = sqrt((tip[1]-tail[1])**2 + (tip[0]-tail[0])**2)
new_length = length - tip_length
new_y = (tip[1] - tail[1]) * (new_length / length)
new_x = (tip[0] - tail[0]) * (new_length / length)
plt.gca().arrow(tail[0], tail[1], new_x, new_y,
head_width=tip_length/1.5, head_length=tip_length,
fc=object.color, ec=object.color)
elif type(object) == Segment:
x1, y1 = object.start_point
x2, y2 = object.end_point
plt.plot([x1,x2],[y1,y2], color=object.color)
else:
raise TypeError("Unrecognized object: {}".format(object))
fig = matplotlib.pyplot.gcf()
if nice_aspect_ratio:
coords_height = (ylim()[1] - ylim()[0])
coords_width = (xlim()[1] - xlim()[0])
fig.set_size_inches(width , width * coords_height / coords_width)
if save_as:
plt.savefig(save_as)
plt.show()
def to_cartesian(polar_vector):
length, angle = polar_vector[0], polar_vector[1]
return(length*cos(angle), length*sin(angle))