def cp02(L_x=4, L_y=4, n_x=2, n_y=4, n_steps=80):
cp = RhombusCreasePattern(n_steps=n_steps, L_x=L_x, L_y=L_y, n_x=n_x, n_y=n_y, show_iter=False, MAX_ITER=500)
n_h = cp.n_h
n_i = cp.n_i
n_v = cp.n_v
cp.cnstr_lhs = [
[(n_h[0, 0], 2, 1.0)], # 0
[(n_h[0, -1], 2, 1.0)], # 1
[(n_h[-1, 0], 2, 1.0)], # 2
[(n_h[-1, -1], 2, 1.0)], # 3
[(n_h[0, 1], 2, 1.0)], # 4
[(n_h[-1, 1], 2, 1.0)], # 5
[(n_h[1, 1], 2, 1.0)], # 6
[(n_h[0, 0], 1, 1.0), (n_h[1, 0], 1, -1.0)], # 7
[(n_h[0, 0], 1, 1.0), (n_h[-1, 0], 1, -1.0)], # 8
[(n_h[0, -1], 1, 1.0), (n_h[1, -1], 1, -1.0)], # 9
[(n_h[0, -1], 1, 1.0), (n_h[-1, -1], 1, -1.0)], # 10
[(n_h[1, 1], 0, 1.0)], # 11
[(n_h[0, -1], 1, 1.0)], # 12
[(n_h[1, 1], 1, 1.0), (n_h[0, 1], 1, -1.0)], # 13
[(n_h[1, 1], 1, 1.0), (n_h[-1, 1], 1, -1.0)], # 14
# [(n_h[1, 1], 2, 1.0), (n_h[1, 0], 2, -1.0)], # 13
# [(n_h[1, 1], 1, 1.0), (n_h[1, -1], 2, -1.0)], # 14
]
# lift node 0 in z-axes
cp.cnstr_rhs = np.zeros((15,), dtype=float)
cp.cnstr_rhs[6] = 1.999999999
return cp
def cp04(L_x=4, L_y=4, n_x=2, n_y=4, n_steps=100):
cp = RhombusCreasePattern(n_steps=n_steps, L_x=L_x, L_y=L_y, n_x=n_x, n_y=n_y, show_iter=False, MAX_ITER=500)
n_h = cp.n_h
n_i = cp.n_i
n_v = cp.n_v
z_nodes = n_h[(0, -1), :].flatten()
z_cnstr = [[(n, 2, 1.0)] for n in z_nodes]
y_links = []
for n_arr in n_h.T:
for n in n_arr[1:]:
y_links.append([(n_arr[0], 1, 1.0), (n, 1, -1.0)])
x_cnstr = [[(n_h[0, 0], 0, 1.0)]]
y_cnstr = [[(n_h[0, -1], 1, 1.0)], [(n_h[0, 0], 1, 1.0)]]
cp.cnstr_lhs = z_cnstr + y_links + x_cnstr + y_cnstr
# lift node 0 in z-axes
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype=float)
cp.cnstr_rhs[-1] = 3.9
return cp
def cp05(L_x=4, L_y=4, n_x=2, n_y=4, n_steps=100, skew_coeff=0.0):
"""Exploit symmetric constraints
"""
cp = RhombusCreasePattern(n_steps=n_steps, L_x=L_x, L_y=L_y, n_x=n_x, n_y=n_y, show_iter=False, MAX_ITER=500)
n_h = cp.n_h
n_i = cp.n_i
n_v = cp.n_v
z_nodes = n_h[(0, -1), :].flatten()
z_cnstr = [[(n, 2, 1.0)] for n in z_nodes]
y_links = []
for n_arr in n_h[:, (0, -1)].T:
for idx, n in enumerate(n_arr[1:]):
n_x = len(n_arr)
coeff = skew_coeff * float(idx + 1) / float(n_x)
y_links.append([(n_arr[0], 1, 1.0 - coeff), (n, 1, -1.0)])
for n_arr in n_h[:, 1:-1].T:
y_links.append([(n_arr[0], 1, 1.0), (n_arr[-1], 1, -1.0)])
x_links = []
z_links = []
# for n0, n1 in zip(n_h[1:-1, 0], n_h[1:-1, -1]):
# x_links.append([(n0, 0, 1.0), (n1, 0, 1.0)])
# z_links.append([(n0, 2, 1.0), (n1, 2, -1.0)])
for n in n_v[0, 1:]:
z_links.append([(n_v[0, 0], 2, 1.0), (n, 2, -1.0)])
n_h_idx = n_y / 4
x_cnstr = [[(n_h[0, n_h_idx], 0, 1.0)]]
y_cnstr = [[(n_h[0, n_h_idx], 1, 1.0)]]
cntrl = [[(n_h[-1, n_h_idx], 0, 1.0)]]
# cntrl = [[(n_h[-1, 0], 1, 1.0)]]
cp.cnstr_lhs = z_cnstr + x_links + y_links + z_links + x_cnstr + y_cnstr + cntrl
# lift node 0 in z-axes
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype=float)
cp.cnstr_rhs[-1] = -L_x * 0.1
return cp
def cp01(L_x = 4, L_y = 4, n_x = 1, n_y = 2,
n_steps = 100, skew_coeff = 0.0):
'''Exploit symmetric constraints
'''
cp = RhombusCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
show_iter = False,
MAX_ITER = 500)
n_h = cp.n_h
n_i = cp.n_i
n_v = cp.n_v
n_h_idx = n_y / 4
x_links = []
y_links = []
z_links = []
z_nodes = n_h[(0, 0, -1, -1), (0, -1, -1, 0)].flatten()
print 'z_nodes', z_nodes
#z_cnstr = [[(n, 2, 1.0)] for n in z_nodes]
x_cnstr = [[(n_h[0, 0], 0, 1.0)]]
y_cnstr = [[(n_h[0, 0], 1, 1.0)]]
z_cnstr = [[(n_h[0, 0], 2, 1.0)]]
for n_arr in n_h[:, (0, -1)].T:
for idx, n in enumerate(n_arr[1:]):
n_x = len(n_arr)
coeff = skew_coeff * float(idx + 1) / float(n_x)
y_links.append([(n_arr[0], 1, 1.0 - coeff), (n, 1, -1.0)])
for n in n_h[0, 1:]:
z_links.append([(n_h[0, 0], 2, 1.0), (n, 2, -1.0)])
x_links.append([(n_h[0, 0], 0, 1.0), (n, 0, -1.0)])
#x_links.append([(n_h[0, -1], 0, 1.0), (n_h[0, -1], 1, -0.5)])
for n in n_v[-1, 1:]:
x_links.append([(n_v[-1, 0], 0, 1.0), (n, 0, -1.0)])
for n0, n1 in zip(n_v[0, :], n_v[-1, :]):
z_links.append([(n0, 2, 1.0), (n1, 2, -1.0)])
#cntrl = [[(n_h[-1, -1], 1, 1.0)]]
cntrl = [[(n_h[-1, 1], 0, 1.0)]]
print 'x_cnstr', len(x_cnstr)
print 'y_cnstr', len(y_cnstr)
print 'z_cnstr', len(z_cnstr)
print 'x_links', len(x_links)
print 'y_links', len(y_links)
print 'z_links', len(z_links)
cp.cnstr_lhs = z_cnstr + x_links + y_links + z_links + x_cnstr + y_cnstr + cntrl
#cp.cnstr_lhs = z_cnstr
# lift node 0 in z-axes
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
cp.cnstr_rhs[-1] = -L_x * 0.34
# cp.cnstr_rhs[-1] = -L_y * 0.9999
return cp
#-------------------------------------------------------------------------------
#
# Copyright (c) 2009, IMB, RWTH Aachen.
# All rights reserved.
#
# This software is provided without warranty under the terms of the BSD
# license included in simvisage/LICENSE.txt and may be redistributed only
# under the conditions described in the aforementioned license. The license
# is also available online at http://www.simvisage.com/licenses/BSD.txt
#
# Thanks for using Simvisage open source!
#
# Created on Nov 9, 2011 by: rch
from bearigami.forming.rhombus_crease_pattern import RhombusCreasePattern
if __name__ == '__main__':
cp = RhombusCreasePattern()
cp.solve()