Created
June 10, 2020 17:17
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""" | |
in n1_dimension s d=2 n=2 | |
in n2_dimension s d=2 n=2 | |
in a_radian s d=0.4 n=2 | |
in x_dim s d=20 n=2 | |
in y_dim s d=20 n=2 | |
out verts v | |
out edges s | |
out faces s | |
""" | |
import cmath | |
import numpy as np | |
from math import sin, cos, sinh, cosh, pi | |
from mathutils import Vector | |
def calcZ1(x, y, k, n): | |
return cmath.exp(1j*(2*cmath.pi*k/n)) * (cmath.cosh(x+y*1j))**(2/n) | |
def calcZ2(x, y, k, n): | |
return cmath.exp(1j*(2*cmath.pi*k/n)) * (1 / 1j) * (cmath.sinh(x+y*1j))**(2/n) | |
def calcZ1Real(x, y, k, n): | |
return (calcZ1(x, y, k, n)).real | |
def calcZ2Real(x, y, k, n): | |
return (calcZ2(x, y, k, n)).real | |
def calcZ(x, y, k1_, k2_, n1_, n2_, a_): | |
z1 = calcZ1(x, y, k1, n1_) | |
z2 = calcZ2(x, y, k2, n2_) | |
return z1.imag * cos(a_) + z2.imag*sin(a_) | |
x = np.linspace(0, pi/2, x_dim) | |
y = np.linspace(-pi/2, pi/2, y_dim) | |
x, y = np.meshgrid(x, y) | |
verts = [[]] | |
edges = [[]] | |
edge_set = [] | |
faces = [[]] | |
face_set = [] | |
n1 = n1_dimension | |
n2 = n2_dimension | |
for i in range(n1*n2): | |
edge_set.append(set()) | |
face_set.append(set()) | |
count = 0 | |
for k1 in range(n1): | |
for k2 in range(n2): | |
# calc X, Y, Z values | |
X = np.frompyfunc(calcZ1Real, 4, 1)(x, y, k1, n1).astype('float32') | |
Y = np.frompyfunc(calcZ2Real, 4, 1)(x, y, k2, n2).astype('float32') | |
Z = np.frompyfunc(calcZ, 7, 1)(x, y, k1, k2, n1, n2, a_radian).astype('float32') | |
X_ = X.flatten() | |
Y_ = Y.flatten() | |
Z_ = Z.flatten() | |
v = [] | |
for x1, y1, z1 in zip(X_, Y_, Z_): | |
v.append(((float(x1), float(y1), float(z1)))) | |
verts[0].extend(v) | |
for i in range(x_dim * y_dim): | |
y_index = i / y_dim | |
x_index = i % y_dim | |
j = i + count * x_dim * y_dim | |
if (y_index < y_dim - 1) and (x_index < x_dim - 1): | |
edge_set[count].add(tuple(sorted([j, j+y_dim]))) | |
edge_set[count].add(tuple(sorted([j+y_dim, j+y_dim+1]))) | |
edge_set[count].add(tuple(sorted([j+y_dim+1, j+1]))) | |
edge_set[count].add(tuple(sorted([j+1, j]))) | |
face_set[count].add(tuple(([j, j+y_dim, j+y_dim+1, j+1]))) | |
count += 1 | |
for i in range(n1*n2): | |
edges[0].extend(list(edge_set[i])) | |
faces[0].extend(list(face_set[i])) |
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