Created
May 3, 2014 20:06
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import numpy as np | |
def sv_main(contour_res=10, num_slices=1, scale=20): | |
in_sockets = [ | |
['s', 'contour_res', contour_res], | |
['s', 'num_slices', num_slices], | |
['s', 'scale', scale]] | |
bbox = (-2.5, 2.5) | |
xmin, xmax, ymin, ymax, zmin, zmax = bbox * 3 | |
A = np.linspace(xmin, xmax, contour_res) # resolution of the contour | |
B = np.linspace(xmin, xmax, num_slices) # number of slices | |
A1, A2 = np.meshgrid(A, A) # grid on which the contour is plotted | |
def goursat(x, y, z): | |
a, b, c = 0.0, -5.0, 11.8 | |
return x**4 + y**4 + z**4 + a*(x**2 + y**2 + z**2)**2 + b*(x**2 + y**2 + z**2) + c | |
verts = [] | |
fn = lambda x, y, z: goursat(x, y, z) | |
scale = max(scale, 1) | |
def add_slices(X, Y, Z, axis_pos, zdir): | |
for xyz in zip(X, Y, Z): | |
f = np.vstack(xyz).T | |
for v in f: | |
vec = v.tolist() | |
idx = {'z': 2, 'y': 1, 'x': 0}[zdir] | |
vec[idx] = vec[idx]/scale | |
verts.append(vec) | |
for z in B: # plot contours in the XY plane | |
X, Y = A1, A2 | |
Z = fn(X, Y, z) | |
add_slices(X, Y, Z+z, axis_pos=z, zdir='z') | |
# for y in B: # plot contours in the XZ plane | |
# X, Z = A1, A2 | |
# Y = fn(X, y, Z) | |
# add_slices(X, Y+y, Z, axis_pos=y, zdir='y') | |
# | |
# for x in B: # plot contours in the YZ plane | |
# Y, Z = A1, A2 | |
# X = fn(x, Y, Z) | |
# add_slices(X+x, Y, Z, axis_pos=x, zdir='x') | |
# out boilerplate | |
out_sockets = [ | |
['v', 'Vecs', [verts]], | |
] | |
return in_sockets, out_sockets |
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