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''' Helper module to support McStas trace output processing '''
from sys import stdin, stderr
from math import pi, cos, sin
from numpy import dot, array
import numpy as np
#level of detail in linspace
NUM_SAMPLES = 100
def parse_multiline(line):
''' Parse a multiline with size as first elements and n points as rest '''
elems = [float(x) for x in line.split(',')]
count = int(elems.pop(0))
points = []
while count > 0:
points.append(elems[0:3])
elems = elems[3:]
count -= 1
points.append(points[0])
return points
def rotate(point, inps):
''' Rotate and move v according to origin and rotation matrix '''
(origin, rotm)=inps
return dot(point, rotm) + origin
def rotate_points(points, inps):
''' Rotate and move v according to origin and rotation matrix '''
(origin, rotm)=inps
count = 0
rpoints=[]
x=[]
y=[]
z=[]
while count < len(points):
p=points[count]
rpoints.append(rotate(p, (origin, rotm)))
p=rpoints[count]
x.append(p[0])
y.append(p[1])
z.append(p[2])
count +=1
x.append(x[0])
y.append(y[0])
z.append(z[0])
return x, y, z
'''BEGIN NEW CODE 3D-visualization. REMOVE OLD CODE AND THIS COMMENT AFTER CONVERTING COMPS'''
def rotate_xyz(x, y, z, comp):
if x.ndim == 2: # Handle 2D arrays
for i in range(len(x)):
for j in range(len(x[0])):
point = np.array([x[i][j], y[i][j], z[i][j]])
rotated_point = rotate(point, comp)
x[i][j], y[i][j], z[i][j] = rotated_point
else: # Handle 1D arrays
for i in range(len(x)):
point = np.array([x[i], y[i], z[i]])
rotated_point = rotate(point, comp)
x[i], y[i], z[i] = rotated_point
return x, y, z
def draw_sphere(center, radius):
u = np.linspace(0, 2 * np.pi, NUM_SAMPLES)
v = np.linspace(0, np.pi, NUM_SAMPLES)
x = center[0] + radius * np.outer(np.cos(u), np.sin(v))
y = center[1] + radius * np.outer(np.sin(u), np.sin(v))
z = center[2] + radius * np.outer(np.ones(np.size(u)), np.cos(v))
return x, y, z
def draw_cylinder(center, radius, height, axis_vector):
axis_vector_normalized = axis_vector / np.linalg.norm(axis_vector)
# Calculate half of the height vector
half_height_vector = (height / 2) * axis_vector_normalized
# Calculate the startpoint
p0 = center - half_height_vector
t = np.linspace(0, height, NUM_SAMPLES)
theta = np.linspace(0, 2 * np.pi, NUM_SAMPLES)
t, theta = np.meshgrid(t, theta)
n1, n2 = calc_perp_vectors(axis_vector)
x = p0[0] + axis_vector_normalized[0] * t + radius * np.sin(theta) * n1[0] + radius * np.cos(theta) * n2[0]
y = p0[1] + axis_vector_normalized[1] * t + radius * np.sin(theta) * n1[1] + radius * np.cos(theta) * n2[1]
z = p0[2] + axis_vector_normalized[2] * t + radius * np.sin(theta) * n1[2] + radius * np.cos(theta) * n2[2]
return x, y, z
def draw_annulus(center, outer_radius, inner_radius, axis_vector):
# Polar coordinates in the annulus' plane
theta = np.linspace(0, 2 * np.pi, NUM_SAMPLES)
r = np.linspace(0, inner_radius, NUM_SAMPLES)
theta, r = np.meshgrid(theta, r)
# Calculate coordinates in the annulus's plane
x_plane = (outer_radius-r) * np.cos(theta)
y_plane = (outer_radius-r) * np.sin(theta)
(x, y, z) = center_and_align_with_axis_vector(center, x_plane, y_plane, axis_vector)
return x, y, z
def draw_disc(center, radius, axis_vector):
return draw_annulus(center, radius, radius, axis_vector)
def draw_new_circle(center, radius, axis_vector):
return draw_annulus(center, radius, 0.01, axis_vector)
def draw_cone(center, radius, height, axis_vector):
# Define the grid in polar coordinates
theta = np.linspace(0, 2 * np.pi, NUM_SAMPLES)
z = np.linspace(-height / 2, height / 2, NUM_SAMPLES)
theta, z = np.meshgrid(theta, z)
# Convert polar to Cartesian coordinates (original, along z-axis)
x_plane = (radius * (z - height/2) / height) * np.cos(theta)
y_plane = (radius * (z - height/2) / height) * np.sin(theta)
# Compute the two perpendicular vectors
n1, n2 = calc_perp_vectors(axis_vector)
# Transform these coordinates to align with the given axis_vector
x = center[0] + x_plane * n1[0] + y_plane * n2[0] + z * axis_vector[0]
y = center[1] + x_plane * n1[1] + y_plane * n2[1] + z * axis_vector[1]
z = center[2] + x_plane * n1[2] + y_plane * n2[2] + z * axis_vector[2]
return x, y, z
def draw_box(center, a, b, c):
#spherical coordinates cube
phi = np.arange(1, 10, 2)*np.pi/4
phi, theta = np.meshgrid(phi, phi)
x = center[0] + (np.cos(phi)*np.sin(theta))*a
y = center[1] + (np.sin(phi)*np.sin(theta))*b
z = center[2] + (np.cos(theta)/np.sqrt(2))*c
return x, y, z
def draw_hollow_box(center, a, b, c, thickness):
outer_vertices = np.array([
[a, 0, 0],
[0, b, 0],
[0, 0, c],
[0, 0, 0],
[a, 0, c],
[a, b, 0],
[a, b, c],
[0, b, c]
], dtype=float)
inner_vertices = np.array([
[a-thickness, 0+thickness, 0],
[0+thickness, b-thickness, 0],
[0+thickness, 0+thickness, c],
[0+thickness, 0+thickness, 0],
[a-thickness, 0+thickness, c],
[a-thickness, b-thickness, 0],
[a-thickness, b-thickness, c],
[0+thickness, b-thickness, c]
], dtype=float)
#Center
outer_vertices -= [a/2, b/2, c/2]
inner_vertices -= [a/2, b/2, c/2]
# Translate vertices to the center position
outer_vertices += center
inner_vertices += center
# Combine outer and inner vertices
vertices = np.vstack([outer_vertices, inner_vertices])
faces = [
[0, 4, 6, 5],
[1, 5, 6, 7],
[3, 0, 4, 2],
[3, 1, 7, 2],
[8, 12, 14, 13],
[9, 13, 14, 15],
[11, 8, 12, 10],
[11, 9, 15, 10],
[0, 8, 11, 3],
[3, 11, 9, 1],
[1, 9, 13, 5],
[5, 13, 8, 0],
[4, 12, 10, 2],
[2, 10, 15, 7],
[7, 15, 14, 6],
[6, 14, 12, 4]
]
return faces, vertices
def center_and_align_with_axis_vector(center, x_plane, y_plane, axis_vector):
# Calculate perpendicular vectors
n1, n2 = calc_perp_vectors(axis_vector)
# Transform the coordinates
x = center[0] + x_plane * n1[0] + y_plane * n2[0]
y = center[1] + x_plane * n1[1] + y_plane * n2[1]
z = center[2] + x_plane * n1[2] + y_plane * n2[2]
return x, y, z
def calc_perp_vectors(axis_vector):
# Normalize the axis vector
axis_vector_normalized = axis_vector / np.linalg.norm(axis_vector)
# Create an arbitrary vector perpendicular to the axis vector
if (axis_vector_normalized == np.array([1, 0, 0])).all():
not_v = np.array([0, 1, 0])
else:
not_v = np.array([1, 0, 0])
# Compute two orthogonal vectors in the plane perpendicular to the axis vector
n1 = np.cross(axis_vector_normalized, not_v)
n1 /= np.linalg.norm(n1) # Normalize n1
n2 = np.cross(axis_vector_normalized, n1)
return n1, n2
'''END NEW CODE 3D-visualization. REMOVE OLD CODE AND THIS COMMENT AFTER CONVERTING COMPS'''
POINTS_IN_CIRCLE = 128
def draw_circle(plane, pos, radius, comp):
''' Draw a circle in plane, at pos and with r radius, rotated by comp '''
first = None
x=[]
y=[]
z=[]
for i in range(0, POINTS_IN_CIRCLE):
walk = 2 * pi * i / POINTS_IN_CIRCLE
xyz = array(pos)
xyz[plane[0]] += cos(walk) * radius
xyz[plane[1]] += sin(walk) * radius
# rotate
xyz = rotate(xyz, comp)
x.append(xyz[0])
y.append(xyz[1])
z.append(xyz[2])
x.append(x[0]);
y.append(y[0]);
z.append(z[0]);
return x,y,z
def get_line():
''' Read a line from stdin '''
return stdin.readline().strip()
def debug(obj):
''' Write a Python object to stderr '''
stderr.write(repr(obj) + '\n')
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