|
|
|
@ -2,13 +2,12 @@ from collections import deque
|
|
|
|
|
import math
|
|
|
|
|
import numpy as np
|
|
|
|
|
|
|
|
|
|
pi = math.acos(-1)
|
|
|
|
|
|
|
|
|
|
def semicircle_generator(radius, steps, reverse=False):
|
|
|
|
|
assert (steps % 4) == 0
|
|
|
|
|
halfsteps = int(steps/2)
|
|
|
|
|
|
|
|
|
|
step_angle = pi / halfsteps
|
|
|
|
|
step_angle = np.pi / halfsteps
|
|
|
|
|
|
|
|
|
|
result = []
|
|
|
|
|
|
|
|
|
@ -18,7 +17,7 @@ def semicircle_generator(radius, steps, reverse=False):
|
|
|
|
|
|
|
|
|
|
# second half, move forward in semicircle shape (y, z change)
|
|
|
|
|
for i in range(halfsteps):
|
|
|
|
|
angle = pi - step_angle*i
|
|
|
|
|
angle = np.pi - step_angle*i
|
|
|
|
|
y = radius * math.cos(angle)
|
|
|
|
|
z = radius * math.sin(angle)
|
|
|
|
|
result.append((0, y, z))
|
|
|
|
@ -32,11 +31,12 @@ def semicircle_generator(radius, steps, reverse=False):
|
|
|
|
|
|
|
|
|
|
return result
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def semicircle2_generator(steps, y_radius, z_radius, x_radius, reverse=False):
|
|
|
|
|
assert (steps % 4) == 0
|
|
|
|
|
halfsteps = int(steps/2)
|
|
|
|
|
|
|
|
|
|
step_angle = pi / halfsteps
|
|
|
|
|
step_angle = np.pi / halfsteps
|
|
|
|
|
|
|
|
|
|
result = []
|
|
|
|
|
|
|
|
|
@ -46,7 +46,7 @@ def semicircle2_generator(steps, y_radius, z_radius, x_radius, reverse=False):
|
|
|
|
|
|
|
|
|
|
# second half, move forward in semicircle shape (y, z change)
|
|
|
|
|
for i in range(halfsteps):
|
|
|
|
|
angle = pi - step_angle*i
|
|
|
|
|
angle = np.pi - step_angle*i
|
|
|
|
|
y = y_radius * math.cos(angle)
|
|
|
|
|
z = z_radius * math.sin(angle)
|
|
|
|
|
x = x_radius * math.sin(angle)
|
|
|
|
@ -61,8 +61,9 @@ def semicircle2_generator(steps, y_radius, z_radius, x_radius, reverse=False):
|
|
|
|
|
|
|
|
|
|
return result
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def get_rotate_x_matrix(angle):
|
|
|
|
|
angle = angle * pi / 180
|
|
|
|
|
angle = angle * np.pi / 180
|
|
|
|
|
return np.matrix([
|
|
|
|
|
[1, 0, 0, 0],
|
|
|
|
|
[0, math.cos(angle), -math.sin(angle), 0],
|
|
|
|
@ -70,8 +71,9 @@ def get_rotate_x_matrix(angle):
|
|
|
|
|
[0, 0, 0, 1],
|
|
|
|
|
])
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def get_rotate_y_matrix(angle):
|
|
|
|
|
angle = angle * pi / 180
|
|
|
|
|
angle = angle * np.pi / 180
|
|
|
|
|
return np.matrix([
|
|
|
|
|
[math.cos(angle), 0, math.sin(angle), 0],
|
|
|
|
|
[0, 1, 0, 0],
|
|
|
|
@ -79,8 +81,9 @@ def get_rotate_y_matrix(angle):
|
|
|
|
|
[0, 0, 0, 1],
|
|
|
|
|
])
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def get_rotate_z_matrix(angle):
|
|
|
|
|
angle = angle * pi / 180
|
|
|
|
|
angle = angle * np.pi / 180
|
|
|
|
|
return np.matrix([
|
|
|
|
|
[math.cos(angle), -math.sin(angle), 0, 0],
|
|
|
|
|
[math.sin(angle), math.cos(angle), 0, 0],
|
|
|
|
@ -88,31 +91,39 @@ def get_rotate_z_matrix(angle):
|
|
|
|
|
[0, 0, 0, 1],
|
|
|
|
|
])
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def matrix_mul(m, pt):
|
|
|
|
|
ptx = list(pt) + [1]
|
|
|
|
|
return list((m * np.matrix(ptx).T).T.flat)[:-1]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def point_rotate_x(pt, angle):
|
|
|
|
|
ptx = list(pt) + [1]
|
|
|
|
|
return list((get_rotate_x_matrix(angle) * np.matrix(ptx).T).T.flat)[:-1]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def point_rotate_y(pt, angle):
|
|
|
|
|
ptx = list(pt) + [1]
|
|
|
|
|
return list((get_rotate_y_matrix(angle) * np.matrix(ptx).T).T.flat)[:-1]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def point_rotate_z(pt, angle):
|
|
|
|
|
ptx = list(pt) + [1]
|
|
|
|
|
return list((get_rotate_z_matrix(angle) * np.matrix(ptx).T).T.flat)[:-1]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def path_rotate_x(path, angle):
|
|
|
|
|
return [point_rotate_x(p, angle) for p in path]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def path_rotate_y(path, angle):
|
|
|
|
|
return [point_rotate_y(p, angle) for p in path]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def path_rotate_z(path, angle):
|
|
|
|
|
return [point_rotate_z(p, angle) for p in path]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if __name__ == '__main__':
|
|
|
|
|
pt = [0, 1, 0]
|
|
|
|
|
print(point_rotate_z(pt, 270))
|