def create_cp_fc_03(L_x = 4, L_y = 4, n_x = 2, n_y = 2, z0_ratio = 0.1,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
other constraints chosen (more in field in z-direction)
'''
cp = YoshimuraCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
show_iter = False,
z0_ratio = z0_ratio,
MAX_ITER = 50)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
y_links = []
n_h_idx = (n_x + 1) / 2
print "n_h_idx", n_h_idx
for idx, n in enumerate(n_h[1:, 0]):
y_links.append([(n_h[0, 0], 1, 1.0), (n, 1, -1.0)])
for idx, n in enumerate(n_h[1:-1, -1]):
y_links.append([(n_h[0, -1], 1, 1.0), (n, 1, -1.0)])
for idx, n in enumerate(n_h[n_h_idx, 1:]):
y_links.append([(n, 0, 1.0)])
y_links.append([(n_h[0, -1], 1, 1.0)])
cp.cnstr_lhs = y_links
print "n_h[1, 0]", n_h[1, 0]
print "n_h[-1,-1]", n_h[-1, 0]
print "n_h[1, -1]", n_h[1, -1]
print "n_h[-1,-1]", n_h[-1, -1]
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
print "cnstr_lhs", cp.cnstr_lhs
print "cnstr_rhs", cp.cnstr_rhs
A = 0.784
face_z_t = CF(Rf = z_ - 4 * A * t_ * x_ * (1 - x_ / L_x))
# face_x_L2 = CF(Rf = x_ - L_x / 2)
n_arr = np.hstack([n_h[n_h_idx, :].flatten(),
n_h[0, :].flatten(),
n_h[-1, :].flatten()])
cp.cf_lst = [(face_z_t, n_arr)]
print "edge1", n_h[0, :]
print "edge2", n_h[-1, :]
print "center", n_h[1:-1, :]
return cp
def cp01(L_x = 4, L_y = 2, n_x = 2, n_y = 2, n_steps = 80):
cp = YoshimuraCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
z0_ratio = 0.01,
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[1, 0], 2, 1.0)], # 4
[(n_h[0, 0], 1, 1.0), (n_h[1, 0], 1, -1.0)], # 5
[(n_h[0, 0], 1, 1.0), (n_h[-1, 0], 1, -1.0)], # 6
[(n_h[0, -1], 1, 1.0), (n_h[1, -1], 1, -1.0)], # 7
[(n_h[0, -1], 1, 1.0), (n_h[-1, -1], 1, -1.0)], # 8
[(n_h[1, 0], 0, 1.0)], # 9
[(n_h[0, -1], 1, 1.0)], # 10
]
# lift node 0 in z-axes
cp.cnstr_rhs = np.zeros((14,), dtype = float)
cp.cnstr_rhs[4] = 1.999999999
return cp
def cp04(L_x = 4, L_y = 4, n_x = 2, n_y = 4, n_steps = 100):
cp = YoshimuraCreasePattern(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 create_cp_fc(L_x = 4, L_y = 4, n_x = 1, n_y = 2,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
'''
cp = YoshimuraCreasePattern(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 = []
# for n_arr in n_h[:, (-1,)].T:
# for idx, n in enumerate(n_arr[1:]):
# y_links.append([(n_arr[0], 1, 1.0), (n, 1, -1.0)])
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)]]
cp.cnstr_lhs = x_links + y_links + z_links # + 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
face_z_0 = CF(Rf = z_ - 0)
face_x_0 = CF(Rf = x_ - 0)
face_x_L = CF(Rf = x_ - L_x * (1 - 0.2 * t_))
face_y_0 = CF(Rf = y_ - 0)
face_y_L = CF(Rf = y_ - L_y * (1 - 0.1 * t_))#* x_ / L_x))
cp.cf_lst = [(face_x_0, n_h[0, :]), # [n_h[0, 0], n_h[0, -1]]),
(face_z_0, n_h[0, :]), # [n_h[0, 0], n_h[0, -1]]),
(face_y_0, n_h[:, 0]),
# (face_x_L, []),
(face_y_L, n_h[:, -1])]
# cp.cnstr_rhs[-1] = -L_y * 0.9999
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 = YoshimuraCreasePattern(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 create_cp_fc_01(L_x = 4, L_y = 4, n_x = 2, n_y = 2, z0_ratio = 0.1,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
One basic element with no general formulation
'''
cp = YoshimuraCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
show_iter = False,
z0_ratio = z0_ratio,
MAX_ITER = 50)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
cp.cnstr_lhs = [[(n_h[0, 0], 1, 1.0), (n_h[1, 0], 1, -1.0)], # 1
[(n_h[0, 0], 1, 1.0), (n_h[-1, 0], 1, -1.0)], # 2
[(n_h[0, -1], 1, 1.0), (n_h[1, -1], 1, -1.0)], # 3
[(n_h[0, -1], 1, 1.0), (n_h[-1, -1], 1, -1.0)], # 4
[(n_h[0, -1], 1, 1.0)],
[(n_h[1, 0], 0, 1.0)]
]
print "n_h[1, 0]", n_h[1, 0]
print "n_h[-1,-1]", n_h[-1, 0]
print "n_h[1, -1]", n_h[1, -1]
print "n_h[-1,-1]", n_h[-1, -1]
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
print "cnstr_lhs", cp.cnstr_lhs
print "cnstr_rhs", cp.cnstr_rhs
A = 0.2
face_z_t = CF(Rf = z_ - 4 * A * t_ * x_ * (1 - x_ / L_x))
face_x_L2 = CF(Rf = x_ - L_x / 2)
cp.cf_lst = [(face_z_t, n_h[0, :]),
(face_z_t, n_h[-1, :]),
(face_z_t, [n_h[1, 0]]),
]
print "edge1", n_h[0, :]
print "edge2", n_h[-1, :]
return cp
def cp03(L_x = 4, L_y = 4, n_x = 2, n_y = 4, n_steps = 80):
cp = YoshimuraCreasePattern(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[0, 0], 1, 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] = 3.95
return cp
def rhombus_3x2_crane(n_steps = 10, dx = 1):
"""
This example shows a 3x2 rhombus creasepattern.
"""
cpr = YoshimuraCreasePattern(n_steps = n_steps,
L_x = 3,
L_y = 2,
n_x = 3,
n_y = 4,
MAX_ITER = 5000)
X_rcp = cpr.generate_X0()
X_rcp = X_rcp.reshape((-1, 3))
X_rcp[:, 2] += -0.1559
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 500)
cp.nodes = cpr.nodes
cp.crease_lines = cpr.crease_lines
cp.facets = cpr.facets
grab_nodes = [[0.5, 0.333, 0],
[0.5, 0.667, 0],
[0.5, 1.333, 0],
[0.5, 1.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[1.5, 1.333, 0],
[1.5, 1.667, 0],
[2.5, 0.333, 0],
[2.5, 0.667, 0],
[2.5, 1.333, 0],
[2.5, 1.667, 0]]#33
crane_nodes = [[1.5, 0.5, 1.0], #34
[0.5, 0.5, 1],
[2.5, 0.5, 1],
[0.5, 0.333, 1.0],
[0.5, 0.667, 1.0], #38
[2.5, 0.333, 1.0],
[2.5, 0.667, 1.0],
[1.5, 0.333, 1.0],
[1.5, 0.667, 1.0],
[1.5, 1.5, 1.0], #43
[0.5, 1.5, 1],
[2.5, 1.5, 1],
[0.5, 1.333, 1.0], #46
[0.5, 1.667, 1.0],
[2.5, 1.333, 1.0],
[2.5, 1.667, 1.0],
[1.5, 1.333, 1.0],
[1.5, 1.667, 1.0], #51
]
cp.nodes = np.vstack([cp.nodes, grab_nodes])
cp.nodes = np.vstack([cp.nodes, crane_nodes])
crane_cl = [#crane 1
[34, 35], #49
[34, 36],
[35, 37],
[35, 38],
[36, 39],
[36, 40],
[34, 41], #55
[34, 42],
[37, 22],
[38, 23], #60
[39, 30],
[40, 31],
[41, 26],
[42, 27],
#crane 2
[43, 44], #65
[43, 45],
[44, 46],
[44, 47],
[45, 48],
[45, 49],
[43, 50],
[43, 51],
[46, 24],
[47, 25],
[48, 32],
[49, 33],
[50, 28],
[51, 29],
]
cp.crease_lines = np.vstack([cp.crease_lines, crane_cl])
cp.grab_pts = [[22, 0],
[23, 14],
[26, 2],
[27, 16],
[30, 4],
[31, 18],
[24, 1],
[25, 15],
[28, 3],
[29, 17],
[32, 5],
[33, 19]
]
# cp.line_pts = [[37, 49],
# [38, 50],
# [48, 63],
# [49, 64]
# ]
#
cnstr_lhs_2 = [[(34, 2, 1.0)],
[(34, 0, 1.0)],
# [(34, 1, 1.0)],
[(34, 2, 1.0), (41, 2, -1.0)],
[(34, 2, 1.0), (42, 2, -1.0)],
[(34, 2, 1.0), (43, 2, -1.0)],
[(34, 0, 1.0), (41, 0, -1.0)],
[(34, 0, 1.0), (42, 0, -1.0)],
[(35, 2, 1.0), (37, 2, -1.0)],
[(35, 2, 1.0), (38, 2, -1.0)],
[(35, 0, 1.0), (37, 0, -1.0)],
[(35, 0, 1.0), (38, 0, -1.0)],
[(36, 2, 1.0), (39, 2, -1.0)],
[(36, 2, 1.0), (40, 2, -1.0)],
[(36, 0, 1.0), (39, 0, -1.0)],
[(36, 0, 1.0), (40, 0, -1.0)],
[(35, 2, 1.0)],
[(36, 2, 1.0)],
[(36, 1, 1.0), (34, 1, -1.0)],
[(35, 1, 1.0), (34, 1, -1.0)],
[(43, 0, 1.0)],
# [(43, 1, 1.0)],
[(43, 2, 1.0), (50, 2, -1.0)],
[(43, 2, 1.0), (51, 2, -1.0)],
[(43, 0, 1.0), (50, 0, -1.0)],
[(43, 0, 1.0), (51, 0, -1.0)],
[(44, 2, 1.0), (46, 2, -1.0)],
[(44, 2, 1.0), (47, 2, -1.0)],
[(44, 0, 1.0), (46, 0, -1.0)],
[(44, 0, 1.0), (47, 0, -1.0)],
[(45, 2, 1.0), (48, 2, -1.0)],
[(45, 2, 1.0), (49, 2, -1.0)],
[(45, 0, 1.0), (48, 0, -1.0)],
[(45, 0, 1.0), (49, 0, -1.0)],
[(44, 2, 1.0)],
[(45, 2, 1.0)],
[(44, 1, 1.0), (43, 1, -1.0)],
[(45, 1, 1.0), (43, 1, -1.0)],
[(4, 0, 1.0)],
[(1, 1, 1.0)],
[(22, 1, 1.0), (26, 1, -1.0)],
[(3, 2, 1.0), (6, 2, -1.0)],
[(23, 1, 1.0), (27, 1, -1.0)],
[(27, 1, 1.0), (31, 1, -1.0)],
[(22, 0, 1.0), (23, 0, -1.0)],
[(34, 1, 1.0), (18, 1, -1.0)],
[(34, 1, 1.0), (43, 1, 1.0)]
]
cnstr_lhs_1 = [[(34, 2, 1.0)],
[(34, 0, 1.0)],
[(34, 1, 1.0)],
[(34, 2, 1.0), (41, 2, -1.0)],
[(34, 2, 1.0), (42, 2, -1.0)],
[(34, 2, 1.0), (43, 2, -1.0)],
[(34, 0, 1.0), (41, 0, -1.0)],
[(34, 0, 1.0), (42, 0, -1.0)],
[(35, 2, 1.0), (37, 2, -1.0)],
[(35, 2, 1.0), (38, 2, -1.0)],
[(35, 0, 1.0), (37, 0, -1.0)],
[(35, 0, 1.0), (38, 0, -1.0)],
[(36, 2, 1.0), (39, 2, -1.0)],
[(36, 2, 1.0), (40, 2, -1.0)],
[(36, 0, 1.0), (39, 0, -1.0)],
[(36, 0, 1.0), (40, 0, -1.0)],
[(35, 2, 1.0)],
[(36, 2, 1.0)],
[(36, 1, 1.0)],
[(35, 1, 1.0)],
[(43, 0, 1.0)],
[(43, 1, 1.0), (45, 1, -1.0)],
[(43, 2, 1.0), (50, 2, -1.0)],
[(43, 2, 1.0), (51, 2, -1.0)],
[(43, 0, 1.0), (50, 0, -1.0)],
[(43, 0, 1.0), (51, 0, -1.0)],
[(44, 2, 1.0), (46, 2, -1.0)],
[(44, 2, 1.0), (47, 2, -1.0)],
[(44, 0, 1.0), (46, 0, -1.0)],
[(44, 0, 1.0), (47, 0, -1.0)],
[(45, 2, 1.0), (48, 2, -1.0)],
[(45, 2, 1.0), (49, 2, -1.0)],
[(45, 0, 1.0), (48, 0, -1.0)],
[(45, 0, 1.0), (49, 0, -1.0)],
[(44, 2, 1.0)],
[(45, 2, 1.0)],
[(44, 1, 1.0), (43, 1, -1.0)],
[(43, 1, 1.0), (19, 1, -1.0)],
#[(35, 1, 1.0), (12, 1, -1.0)],
#[(46, 1, 1.0), (13, 1, -1.0)],
#[(35, 1, 1.0), (46, 1, 1.0)],
#[(36, 1, 1.0), (47, 1, 1.0)],
[(4, 0, 1.0)],
[(1, 1, 1.0), (10, 1, -1.0)],
#[(10, 1, 1.0)],
#[(37, 2, 1.0), (48, 2, -1.0)],
#[(26, 1, 1.0), (30, 1, -1.0)],
#[(0, 1, 1.0), (3, 1, -1.0)],
#[(37, 2, 1.0), (38, 2, -1.0)],
#[(29, 1, 1.0), (33, 1, -1.0)],
[(22, 1, 1.0), (26, 1, -1.0)],
#[(22, 0, 1.0), (24, 0, -1.0)],
#[(38, 0, 1.0), (49, 0, -1.0)],
#[(48, 2, 1.0), (49, 2, -1.0)],
#[(3, 2, 1.0), (6, 2, -1.0)],
#[(24, 1, 1.0), (28, 1, -1.0)],
#[(27, 1, 1.0), (31, 1, -1.0)],
[(3, 2, 1.0), (6, 2, -1.0)],
#[(3, 1, 1.0), (6, 1, -1.0)],
#[(5, 2, 1.0), (8, 2, -1.0)],
#[(30, 0, 1.0), (31, 0, -1.0)]
#[(30, 0, 1.0), (31, 0, -1.0)],
[(22, 0, 1.0), (23, 0, -1.0)]
# [(12, 2, 1.0)],
# [(13, 0, 1.0)],
# [(14, 2, 1.0)],
# [(15, 2, 1.0)]
]
cnstr_lhs_3 = [[(34, 2, 1.0)],
[(34, 0, 1.0)],
[(34, 1, 1.0), (43, 1, 1.0)],
[(34, 2, 1.0), (41, 2, -1.0)],
[(34, 2, 1.0), (42, 2, -1.0)],
#[(34, 2, 1.0), (43, 2, -1.0)],
[(34, 0, 1.0), (41, 0, -1.0)],
[(34, 0, 1.0), (42, 0, -1.0)],
[(35, 2, 1.0), (37, 2, -1.0)],
[(35, 2, 1.0), (38, 2, -1.0)],
[(35, 0, 1.0), (37, 0, -1.0)],
[(35, 0, 1.0), (38, 0, -1.0)],
[(36, 2, 1.0), (39, 2, -1.0)],
[(36, 2, 1.0), (40, 2, -1.0)],
[(36, 0, 1.0), (39, 0, -1.0)],
[(36, 0, 1.0), (40, 0, -1.0)],
[(35, 2, 1.0)],
[(36, 2, 1.0)],
[(36, 1, 1.0), (34, 1, -1.0)],
[(35, 1, 1.0), (34, 1, -1.0)],
[(43, 0, 1.0)],
[(43, 1, 1.0), (45, 1, -1.0)],
[(43, 2, 1.0), (50, 2, -1.0)],
[(43, 2, 1.0), (51, 2, -1.0)],
[(43, 0, 1.0), (50, 0, -1.0)],
[(43, 0, 1.0), (51, 0, -1.0)],
[(44, 2, 1.0), (46, 2, -1.0)],
[(44, 2, 1.0), (47, 2, -1.0)],
[(44, 0, 1.0), (46, 0, -1.0)],
[(44, 0, 1.0), (47, 0, -1.0)],
[(45, 2, 1.0), (48, 2, -1.0)],
[(45, 2, 1.0), (49, 2, -1.0)],
[(45, 0, 1.0), (48, 0, -1.0)],
[(45, 0, 1.0), (49, 0, -1.0)],
[(44, 2, 1.0)],
[(45, 2, 1.0)],
[(44, 1, 1.0), (43, 1, -1.0)],
[(43, 1, 1.0), (19, 1, -1.0)],
#[(35, 1, 1.0), (12, 1, -1.0)],
#[(46, 1, 1.0), (13, 1, -1.0)],
#[(35, 1, 1.0), (46, 1, 1.0)],
#[(36, 1, 1.0), (47, 1, 1.0)],
[(4, 0, 1.0)],
[(1, 1, 1.0)],
#[(10, 1, 1.0)],
#[(37, 2, 1.0), (48, 2, -1.0)],
#[(26, 1, 1.0), (30, 1, -1.0)],
#[(0, 1, 1.0), (3, 1, -1.0)],
#[(37, 2, 1.0), (38, 2, -1.0)],
#[(29, 1, 1.0), (33, 1, -1.0)],
[(22, 1, 1.0), (26, 1, -1.0)],
[(22, 0, 1.0), (23, 0, -1.0)],
#[(38, 0, 1.0), (49, 0, -1.0)],
#[(48, 2, 1.0), (49, 2, -1.0)],
#[(3, 2, 1.0), (6, 2, -1.0)],
#[(24, 1, 1.0), (28, 1, -1.0)],
#[(27, 1, 1.0), (31, 1, -1.0)],
[(3, 2, 1.0), (6, 2, -1.0)],
#[(3, 1, 1.0), (6, 1, -1.0)],
#[(5, 2, 1.0), (8, 2, -1.0)],
#[(30, 0, 1.0), (31, 0, -1.0)]
#[(30, 0, 1.0), (31, 0, -1.0)],
[(22, 0, 1.0), (23, 0, -1.0)]
# [(12, 2, 1.0)],
# [(13, 0, 1.0)],
# [(14, 2, 1.0)],
# [(15, 2, 1.0)]
]
cp.cnstr_lhs = cnstr_lhs_1
cp.cnstr_rhs = np.zeros((cp.n_dofs,))
cp.cnstr_rhs[0] = dx
X_ext = np.zeros((cp.n_dofs - len(X_rcp.reshape((-1,))),), dtype = float)
X0 = np.hstack([X_rcp.reshape((-1,)), X_ext])
X0[68] = 0.0
X0[71] = 0.0
X0[74] = 0.0
X0[77] = 0.0
X0[80] = 0.1441
X0[83] = 0.1441
X0[86] = 0.1441
X0[89] = 0.1441
X0[92] = 0.0
X0[95] = 0.0
X0[98] = 0.0
X0[101] = 0.0
X0[104] = 0.1441
X0[125] = 0.1441
X0[128] = 0.1441
#X0[131] = 0.45
X0[152] = 0.1441
X0[155] = 0.1441
X0[132] = 0.1441
X0[135] = -0.1441
X0 *= 0.1
#np.set_printoptions(threshold='nan')
print 'G_du', cp.get_G_du(X0)
print 'R', cp.get_G(X0)
# sf = SingularityFinder()
# sf.singul_test(cp.get_G_du(X0))
print 'L_vct', cp.grab_pts_L
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * 3 - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
#cp.show_iter = True
X = cp.solve(X0)
return cp
def create_cp_fc_bow(L_x = 4, L_y = 4, n_x = 4, n_y = 2, z0_ratio = 0.1,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
bad working
'''
cp = YoshimuraCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
show_iter = False,
z0_ratio = z0_ratio,
MAX_ITER = 50)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
# y_links = []
# n_h0 = n_h[(0, -1), :-1]
# n_h1 = n_h[(0, -1), 1:]
# for nv, nh0, nh1 in zip(n_v.T, n_h0.T, n_h1.T):
# for v, h0, h1 in zip(nv, nh0, nh1):
# y_links.append([(v, 1, 1.0), (h1, 1, -0.5)])
# cp.cnstr_lhs = y_links
# cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
# print "cnstr_lhs", cp.cnstr_lhs
# print "cnstr_rhs", cp.cnstr_rhs
# A = L_x * 0.2
A = 0.2
# face_z_t = CF(Rf = z_ - 4 * A * t_ / L_x * x_ * (1 - x_ / L_x))
face_z_t = CF(Rf = z_ - 4 * A * t_ * x_ * (1 - x_ / L_x))
face_x_L2 = CF(Rf = x_ - L_x / 2)
#old
# face_y_L2 = CF(Rf = y_ - L_y / 2)
#new
face_y_L0 = CF(Rf = y_)
# face_y_Ly = CF(Rf = y_ - L_y)
# n_h_idx = n_x / 2
# z_nodes = n_h[:, :].flatten()
# cp.cf_lst = [(face_y_L2, [n_i[0, 0]]),
# (face_z_t, z_nodes),
### (face_x_L2, n_h[2, (0, -1)].flatten()),
## (face_x_L2, n_h[n_h_idx, (0, -1)].flatten()),
# (face_x_L2, n_h[n_h_idx, :].flatten()),
# ]
#new
n_h_idx = n_x / 2
z_nodes_field1 = n_h[1:n_h_idx, 0].flatten()
z_nodes_field2 = n_h[(n_h_idx + 1):-1, 0].flatten()
z_nodes_field3 = n_h[1:n_h_idx, 1].flatten()
z_nodes_field4 = n_h[(n_h_idx + 1):-1, 1].flatten()
cp.cf_lst = [(face_y_L0, [n_h[0, 0]]),
(face_y_L0, [n_h[n_h_idx, -1]]),
(face_y_L0, [n_h[-1, 0]]),
(face_z_t, z_nodes_field1),
(face_z_t, z_nodes_field2),
(face_z_t, z_nodes_field3),
(face_z_t, z_nodes_field4),
(face_z_t, n_h[n_h_idx, :]),
(face_z_t, n_h[0, :]),
(face_z_t, n_h[-1, :]),
# (face_z_t, n_h[n_h_idx,1:]),
# (face_x_L2, n_h[2, (0, -1)].flatten()),
# (face_x_L2, n_h[n_h_idx, (0, -1)].flatten()),
(face_x_L2, n_h[n_h_idx, :].flatten()),
]
print "field1", z_nodes_field1
print "field2", z_nodes_field2
print "edge1", n_h[0, :]
print "edge2", n_h[-1, :]
print "center", n_h[n_h_idx, :]
return cp
def create_cp_fc_inclined(L_x = 4, L_y = 4, n_x = 2, n_y = 4,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
'''
cp = YoshimuraCreasePattern(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 = 50)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
y_links = []
# n_h0 = n_h[(0, -1), :-1]
# n_h1 = n_h[(0, -1), 1:]
# for nv, nh0, nh1 in zip(n_v.T, n_h0.T, n_h1.T):
# for v, h0, h1 in zip(nv, nh0, nh1):
# print 'constraining', h0, h1
# y_links.append([(h0, 1, 1.0), (h1, 1, -1.0)])
n_h0 = n_h[(0, -1), :-1]
n_h1 = n_h[(0, -1), 1:]
for nv in n_v.T:
print 'adding constraint', nv
y_links.append([(nv[0], 0, 1.0), (nv[1], 0, 1.0)])
# here was a conflict @todo - resolve with Jan
# for nv, nh0, nh1 in zip(n_v.T, n_h0.T, n_h1.T):
# for v, h0, h1 in zip(nv, nh0, nh1):
# y_links.append([(v, 1, 1.0), (h1, 1, -0.5)])
cp.cnstr_lhs = y_links
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
print "cnstr_lhs", cp.cnstr_lhs
print "cnstr_rhs", cp.cnstr_rhs
# A = L_x * 0.2
A = 0.2
# face_z_t = CF(Rf = z_ - 4 * A * t_ / L_x * x_ * (1 - x_ / L_x))
face_z_t = CF(Rf = z_ - 4 * A * t_ * x_ * (1 - x_ / L_x))
face_x_L2 = CF(Rf = x_ - L_x / 2)
face_y_L2 = CF(Rf = y_ - L_y / 2)
# face_y_Ly = CF(Rf = y_ - L_y)
#old
n_h_idx = n_x / 2
z_nodes = n_h[:, :].flatten()
# y_nodes = n_i[:, 0] # + list(n_v[:, :].flatten())
y_nodes = n_i[0, 0] # + list(n_v[:, :].flatten())
cp.cf_lst = [(face_y_L2, [n_i[0, 0]]),
(face_z_t, z_nodes),
## (face_x_L2, n_h[2, (0, -1)].flatten()),
# (face_x_L2, n_h[n_h_idx, (0, -1)].flatten()),
(face_x_L2, n_h[n_h_idx, :].flatten()),
]
return cp
def create_cp_fc_02(L_x = 4, L_y = 4, n_x = 2, n_y = 2, z0_ratio = 0.1,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
One basic element with general formulation (extension in y-direction variabel)
(extension in x-direction has to be adepted manually)
'''
cp = YoshimuraCreasePattern(n_steps = n_steps,
L_x = L_x,
L_y = L_y,
n_x = n_x,
n_y = n_y,
show_iter = False,
z0_ratio = z0_ratio,
MAX_ITER = 50)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
n_h_idx = n_x / 2
n_h_idx = n_x / 2
y_links = []
for n_arr in n_h[0:3, :].T:
for idx, n in enumerate(n_arr[1:]):
n_x = len(n_arr)
y_links.append([(n_arr[0], 1, 1.0), (n, 1, -1.0)])
'''
Extension in x-direction
'''
#y_links.append([(n_h[0,0], 1, 1.0), (n_h[-1,0], 1, -1.0)])
#y_links.append([(n_h[0,0], 1, 1.0), (n_h[-2,0], 1, -1.0)])
y_links.append([(n_h[0, -1], 1, 1.0)])
y_links.append([(n_h[1, 0], 0, 1.0)])
cp.cnstr_lhs = y_links
print "n_h[1, 0]", n_h[1, 0]
print "n_h[-1,-1]", n_h[-1, 0]
print "n_h[1, -1]", n_h[1, -1]
print "n_h[-1,-1]", n_h[-1, -1]
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype = float)
print "cnstr_lhs", cp.cnstr_lhs
print "cnstr_rhs", cp.cnstr_rhs
A = 0.2
face_z_t = CF(Rf = z_ - 4 * A * t_ * x_ * (1 - x_ / L_x))
cp.cf_lst = [(face_z_t, n_h[1:-1, 0]),
(face_z_t, n_h[0, :]),
(face_z_t, n_h[-1, :])
]
print "edge1", n_h[0, :]
print "edge2", n_h[-1, :]
print "center", n_h[1:-1, 0]
return cp
def rhombus_3x2_grab_points_for_crane(n_steps = 10, dx = 1.5):
"""
This example shows a 3x2 rhombus creasepattern.
"""
cpr = YoshimuraCreasePattern(n_steps = n_steps,
L_x = 3,
L_y = 2,
n_x = 3,
n_y = 4,
MAX_ITER = 500)
X_rcp = cpr.generate_X0()
X_rcp = X_rcp.reshape((-1, 3))
X_rcp[:, 2] += 0.15
print 'X_rcp', X_rcp
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 500)
cp.nodes = cpr.nodes
cp.crease_lines = cpr.crease_lines
cp.facets = cpr.facets
grab_nodes = [[0.5, 0.333, 0], #22
[0.5, 0.667, 0],
[0.5, 1.333, 0],
[0.5, 1.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[1.5, 1.333, 0],
[1.5, 1.667, 0],
[2.5, 0.333, 0],
[2.5, 0.666, 0],
[2.5, 1.333, 0],
[2.5, 1.667, 0]]
cp.nodes = np.vstack([cp.nodes, grab_nodes])
cp.grab_pts = [
[22, 0],
[23, 14],
[26, 2],
[27, 16],
[30, 4],
[31, 18],
[24, 1],
[25, 15],
[28, 3],
[29, 17],
[32, 5],
[33, 19]
]
cp.cnstr_lhs = [[(12, 2, 1.0)],
[(13, 2, 1.0)],
[(14, 2, 1.0)],
[(15, 2, 1.0)],
[(1, 1, 1.0)],
[(18, 0, 1.0)],
[(26, 2, 1.0)],
[(22, 1, 1.0), (26, 1, -1.0)],
[(26, 1, 1.0), (30, 1, -1.0)],
[(23, 1, 1.0), (27, 1, -1.0)],
[(5, 2, 1.0), (8, 2, -1.0)],
[(24, 1, 1.0), (28, 1, -1.0)],
[(28, 1, 1.0), (32, 1, -1.0)],
[(25, 1, 1.0), (29, 1, -1.0)],
[(3, 2, 1.0), (6, 2, -1.0)],
[(22, 2, 1.0), (30, 2, -1.0)],
[(29, 1, 1.0), (33, 1, -1.0)]
]
cp.cnstr_rhs = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, dx, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
X_ext = np.zeros((cp.n_g * cp.n_d,), dtype = float)
X0 = np.hstack([X_rcp.reshape((-1,)), X_ext])
X0[68] = 0.3059
X0[71] = 0.3059
X0[74] = 0.3059
X0[77] = 0.3059
X0[80] = 0.4389
X0[83] = 0.4389
X0[86] = 0.4389
X0[89] = 0.4389
X0[92] = 0.3059
X0[95] = 0.3059
X0[98] = 0.3059
X0[101] = 0.3059
X0 *= 0.01
print 'G_du', cp.get_G_du(X0)
print 'R', cp.get_G(X0)
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d
print 'cnstr', len(cp.cnstr_lhs)
#cp.show_iter = True
X = cp.solve(X0)
return cp
def rhombus_3x3_crane(n_steps = 10, dx = 0.7):
"""
This example shows a 3x2 rhombus creasepattern.
"""
cpr = YoshimuraCreasePattern(n_steps = n_steps,
L_x = 3,
L_y = 3,
n_x = 3,
n_y = 6,
MAX_ITER = 5000)
X_rcp = cpr.generate_X0()
X_rcp = X_rcp.reshape((-1, 3))
X_rcp[:, 2] += -0.1559
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 500)
cp.nodes = cpr.nodes
cp.crease_lines = cpr.crease_lines
cp.facets = cpr.facets
grab_nodes = [[0.5, 0.333, 0], #31
[0.5, 0.667, 0],
[0.5, 1.333, 0],
[0.5, 1.667, 0],
[0.5, 2.333, 0], #35
[0.5, 2.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[1.5, 1.333, 0],
[1.5, 1.667, 0],
[1.5, 2.333, 0],
[1.5, 2.667, 0],
[2.5, 0.333, 0],
[2.5, 0.667, 0],
[2.5, 1.333, 0], #45
[2.5, 1.667, 0],
[2.5, 2.333, 0],
[2.5, 2.667, 0]]#48
cp.nodes = np.vstack([cp.nodes, grab_nodes])
cp.grab_pts = [[31, 0],
[32, 21],
[33, 1],
[34, 22],
[35, 2],
[36, 23],
[37, 3],
[38, 24],
[39, 4],
[40, 25],
[41, 5],
[42, 26],
[43, 6],
[44, 27],
[45, 7],
[46, 28],
[47, 8],
[48, 29]
]
cnstr_lhs_3 = [[(31, 1, 1.0)],
[(31, 1, 1.0), (36, 1, 1.0)],
[(16, 2, 1.0)],
[(17, 2, 1.0)],
[(18, 2, 1.0)],
[(19, 2, 1.0)],
[(20, 2, 1.0)],
[(21, 2, 1.0)],
[(17, 1, 1.0)],
[(20, 1, 1.0)],
[(20, 0, 1.0)],
[(37, 1, 1.0), (42, 1, 1.0)],
[(31, 2, 1.0), (36, 2, -1.0)],
[(37, 2, 1.0), (42, 2, -1.0)],
[(43, 1, 1.0), (48, 1, 1.0)],
[(43, 2, 1.0), (48, 2, 1.0)],
[(33, 1, 1.0), (34, 1, 1.0)],
[(39, 1, 1.0), (40, 1, 1.0)],
[(45, 1, 1.0), (46, 1, 1.0)],
[(19, 0, 1.0), (21, 0, -1.0)],
[(1, 2, 1.0), (2, 0, -1.0)]
]
cp.cnstr_lhs = cnstr_lhs_3
cp.cnstr_rhs = np.zeros((cp.n_dofs,))
cp.cnstr_rhs[0] = dx
X_ext = np.zeros((cp.n_dofs - len(X_rcp.reshape((-1,))),), dtype = float)
X0 = np.hstack([X_rcp.reshape((-1,)), X_ext])
X0 *= 0.1
#np.set_printoptions(threshold='nan')
print 'dR', cp.get_dR(X0)
print 'R', cp.get_R(X0)
cp.set_next_node(X0)
print 'L_vct', cp.grab_pts_L
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * 3 - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
cp.show_iter = True
X = cp.solve(X0)
return cp
# own Modules
from oricrete.folding import \
YoshimuraCreasePattern, CreasePatternView, x_
from oricrete.folding.cnstr_target_face import \
CnstrTargetFace, r_, s_, t_
if __name__ == '__main__':
L_x = 2.42
L_y = 3.01
cp = YoshimuraCreasePattern(n_steps=8,
L_x=L_x,
L_y=L_y,
n_x=3,
n_y=20,
show_iter=False,
z0_ratio=0.1,
MAX_ITER=100)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
A = 0.1
B = 0.05
s_term = 4 * B * t_ * s_ * (1 - s_ / L_y) # * r_ / L_x
face_z_t = CnstrTargetFace(
F=[r_, s_, 4 * A * t_ * r_ * (1 - r_ / L_x) - s_term])
def rhombus_3x3_crane(n_steps = 10, dx = 0.7):
"""
This example shows a 3x2 rhombus creasepattern.
"""
cpr = YoshimuraCreasePattern(n_steps = n_steps,
L_x = 3,
L_y = 3,
n_x = 3,
n_y = 6,
MAX_ITER = 5000)
X_rcp = cpr.generate_X0()
X_rcp = X_rcp.reshape((-1, 3))
X_rcp[:, 2] += -0.1559
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 500)
cp.nodes = cpr.nodes
cp.crease_lines = cpr.crease_lines
cp.facets = cpr.facets
grab_nodes = [[0.5, 0.333, 0], #31
[0.5, 0.667, 0],
[0.5, 1.333, 0],
[0.5, 1.667, 0],
[0.5, 2.333, 0], #35
[0.5, 2.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[1.5, 1.333, 0],
[1.5, 1.667, 0],
[1.5, 2.333, 0],
[1.5, 2.667, 0],
[2.5, 0.333, 0],
[2.5, 0.667, 0],
[2.5, 1.333, 0], #45
[2.5, 1.667, 0],
[2.5, 2.333, 0],
[2.5, 2.667, 0]]#48
crane_nodes = [[1.5, 0.5, 1.0], #49
[0.5, 0.5, 1],
[2.5, 0.5, 1],
[0.5, 0.333, 1.0],
[0.5, 0.667, 1.0],
[2.5, 0.333, 1.0],
[2.5, 0.667, 1.0], #55
[1.5, 0.333, 1.0],
[1.5, 0.667, 1.0],
[1.5, 1.5, 1.0],
[0.5, 1.5, 1],
[2.5, 1.5, 1], #60
[0.5, 1.333, 1.0],
[0.5, 1.667, 1.0],
[2.5, 1.333, 1.0],
[2.5, 1.667, 1.0],
[1.5, 1.333, 1.0], #65
[1.5, 1.667, 1.0],
[1.5, 2.5, 1.0],
[0.5, 2.5, 1],
[2.5, 2.5, 1],
[0.5, 2.333, 1.0], #70
[0.5, 2.667, 1.0],
[2.5, 2.333, 1.0],
[2.5, 2.667, 1.0],
[1.5, 2.333, 1.0],
[1.5, 2.667, 1.0], #75
]
cp.nodes = np.vstack([cp.nodes, grab_nodes])
cp.nodes = np.vstack([cp.nodes, crane_nodes])
crane_cl = [#crane 1
[49, 50], #72
[49, 51],
[50, 52],
[50, 53],
[51, 54],
[51, 55],
[49, 56],
[49, 57],
[52, 31],
[53, 32],
[54, 43],
[55, 44],
[56, 37],
[57, 38],
#crane 2
[58, 59],
[58, 60],
[59, 61],
[59, 62],
[60, 63],
[60, 64],
[58, 65],
[58, 66],
[61, 33],
[62, 34],
[63, 45],
[64, 46],
[65, 39],
[66, 40],
#crane 3
[67, 68],
[67, 69],
[68, 70],
[68, 71],
[69, 72],
[69, 73],
[67, 74],
[67, 75],
[70, 35],
[71, 36],
[72, 47],
[73, 48],
[74, 41],
[75, 42],
]
cp.crease_lines = np.vstack([cp.crease_lines, crane_cl])
cp.grab_pts = [[31, 0],
[32, 21],
[33, 1],
[34, 22],
[35, 2],
[36, 23],
[37, 3],
[38, 24],
[39, 4],
[40, 25],
[41, 5],
[42, 26],
[43, 6],
[44, 27],
[45, 7],
[46, 28],
[47, 8],
[48, 29]
]
cnstr_lhs_3 = [[(49, 2, 1.0)],
[(49, 0, 1.0)],
[(49, 1, 1.0), (67, 1, 1.0)],
[(49, 2, 1.0), (58, 2, -1.0)],
[(49, 2, 1.0), (67, 2, -1.0)],
[(49, 2, 1.0), (56, 2, -1.0)],
[(49, 2, 1.0), (57, 2, -1.0)],
[(49, 0, 1.0), (56, 0, -1.0)],
[(49, 0, 1.0), (57, 0, -1.0)],
[(50, 2, 1.0), (52, 2, -1.0)],
[(50, 2, 1.0), (53, 2, -1.0)],
[(50, 0, 1.0), (52, 0, -1.0)],
[(50, 0, 1.0), (53, 0, -1.0)],
[(51, 2, 1.0), (54, 2, -1.0)],
[(51, 2, 1.0), (55, 2, -1.0)],
[(51, 0, 1.0), (54, 0, -1.0)],
[(51, 0, 1.0), (55, 0, -1.0)],
[(50, 2, 1.0)],
[(51, 2, 1.0)],
[(50, 1, 1.0), (49, 1, -1.0)],
[(51, 1, 1.0), (49, 1, -1.0)],
[(58, 0, 1.0)],
[(58, 2, 1.0), (65, 2, -1.0)],
[(58, 2, 1.0), (66, 2, -1.0)],
[(58, 0, 1.0), (65, 0, -1.0)],
[(58, 0, 1.0), (66, 0, -1.0)],
[(59, 2, 1.0), (61, 2, -1.0)],
[(59, 2, 1.0), (62, 2, -1.0)],
[(59, 0, 1.0), (61, 0, -1.0)],
[(59, 0, 1.0), (62, 0, -1.0)],
[(60, 2, 1.0), (63, 2, -1.0)],
[(60, 2, 1.0), (64, 2, -1.0)],
[(60, 0, 1.0), (63, 0, -1.0)],
[(60, 0, 1.0), (64, 0, -1.0)],
[(59, 2, 1.0)],
[(60, 2, 1.0)],
[(59, 1, 1.0)],
[(60, 1, 1.0)],
[(58, 1, 1.0)],
[(67, 0, 1.0)],
[(67, 2, 1.0), (74, 2, -1.0)],
[(67, 2, 1.0), (75, 2, -1.0)],
[(67, 0, 1.0), (74, 0, -1.0)],
[(67, 0, 1.0), (75, 0, -1.0)],
[(68, 2, 1.0), (70, 2, -1.0)],
[(68, 2, 1.0), (71, 2, -1.0)],
[(68, 0, 1.0), (70, 0, -1.0)],
[(68, 0, 1.0), (71, 0, -1.0)],
[(69, 2, 1.0), (72, 2, -1.0)],
[(69, 2, 1.0), (73, 2, -1.0)],
[(69, 0, 1.0), (72, 0, -1.0)],
[(69, 0, 1.0), (73, 0, -1.0)],
[(68, 2, 1.0)],
[(69, 2, 1.0)],
[(67, 1, 1.0), (27, 1, -1.0)],
[(68, 1, 1.0), (67, 1, -1.0)],
[(69, 1, 1.0), (67, 1, -1.0)],
#[(35, 1, 1.0), (12, 1, -1.0)],
#[(46, 1, 1.0), (13, 1, -1.0)],
#[(35, 1, 1.0), (46, 1, 1.0)],
#[(36, 1, 1.0), (47, 1, 1.0)],
[(25, 0, 1.0)],
[(17, 1, 1.0)],
#[(10, 1, 1.0)],
#[(37, 2, 1.0), (48, 2, -1.0)],
#[(26, 1, 1.0), (30, 1, -1.0)],
#[(0, 1, 1.0), (3, 1, -1.0)],
#[(37, 2, 1.0), (38, 2, -1.0)],
#[(29, 1, 1.0), (33, 1, -1.0)],
#[(31, 1, 1.0), (37, 1, -1.0)],
#[(7, 2, 1.0), (11, 2, -1.0)],
#[(22, 0, 1.0), (24, 0, -1.0)],
#[(38, 0, 1.0), (49, 0, -1.0)],
#[(48, 2, 1.0), (49, 2, -1.0)],
#[(3, 2, 1.0), (6, 2, -1.0)],
#[(24, 1, 1.0), (28, 1, -1.0)],
#[(27, 1, 1.0), (31, 1, -1.0)],
[(4, 2, 1.0), (8, 2, -1.0)],
#[(3, 1, 1.0), (6, 1, -1.0)],
#[(5, 2, 1.0), (8, 2, -1.0)],
#[(30, 0, 1.0), (31, 0, -1.0)]
#[(30, 0, 1.0), (31, 0, -1.0)],
#[(31, 0, 1.0), (32, 0, -1.0)]
# [(12, 2, 1.0)],
# [(13, 0, 1.0)],
# [(14, 2, 1.0)],
# [(15, 2, 1.0)]
]
cp.cnstr_lhs = cnstr_lhs_3
cp.cnstr_rhs = np.zeros((cp.n_dofs,))
cp.cnstr_rhs[0] = dx
X_ext = np.zeros((cp.n_dofs - len(X_rcp.reshape((-1,))),), dtype = float)
X0 = np.hstack([X_rcp.reshape((-1,)), X_ext])
X0[113] = 0.1441
X0[116] = 0.1441
X0[119] = 0.1441
X0[122] = 0.1441
X0[125] = 0.1441
X0[128] = 0.1441
X0[149] = 0.1441
X0[176] = 0.1441
X0[203] = 0.1441
#X0[131] = 0.45
#X0[152] = 0.1441
#X0[155] = 0.1441
# X0[132] = 0.1441
#X0[135] = -0.1441
cp.create_rcp_tex(name = 'rcp_x3_y3.tex')
X0 *= 0.1
#np.set_printoptions(threshold='nan')
print 'G_du', cp.get_G_du(X0)
print 'R', cp.get_G(X0)
print 'n_dofs', cp.n_dofs
print 'n_c', cp.n_c
print 'n_g', cp.n_g
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * 3 - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
#cp.show_iter = True
X = cp.solve(X0)
return cp
def create_cp_fc_inclined(L_x = 4, L_y = 4, n_x = 1, n_y = 2,
n_steps = 100):
'''Create scalable rhombus crease pattern with face constraints
'''
cp = YoshimuraCreasePattern(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 = 2000)
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 = []
# for n_arr in n_h[:, (-1,)].T:
# for idx, n in enumerate(n_arr[1:]):
# y_links.append([(n_arr[0], 1, 1.0), (n, 1, -1.0)])
# 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)])
# y_links.append([(n0, 1, 1.0), (n1, 1, -1.0)])
#cntrl = [[(n_h[-1, -1], 1, 1.0)]]
#cntrl = [[(n_h[-1, 1], 0, 1.0)]]
cp.cnstr_lhs = x_links + y_links + z_links # + 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
# face_z_0 = CF(Rf = z_ - (1 - x_ / L_x) * 0.2 * t_)
face_z_0 = CF(Rf = z_ - 0)
face_x_0 = CF(Rf = x_ - 0)
# face_x_L = CF(Rf = x_ - L_x * (1 - 0.2 * t_))
# face_y_0 = CF(Rf = y_ - 0)
# face_y_L = CF(Rf = y_ - L_y * (1 - 0.1 * t_))
#parallel movement bothsided
face_y_0 = CF(Rf = y_ - L_y * (0.05 * t_))# * x_ / L_x)
face_y_L = CF(Rf = y_ - L_y * (1 - 0.05 * t_))# * x_ / L_x)
#parallel movement: one side inclined
# face_y_0 = CF(Rf = y_ - L_y / 2.0 * (0.1 * t_) * x_ / L_x)
# face_y_L = CF(Rf = y_ - L_y * (1 - 0.05 * t_))# * x_ / L_x)
#one side inclined, other side fixed
# face_y_0 = CF(Rf = y_ - 0)
# face_y_L = CF(Rf = y_ - L_y + L_y * 0.1 * t_* x_ / L_x)
##symmetric inclined along x
# face_y_0 = CF(Rf = y_ - L_y / 2.0 * 0.1 * t_ * x_ / L_x)
# face_y_L = CF(Rf = y_ - L_y + L_y / 2.0 * 0.1 * t_ * x_ / L_x)
#
##symmetric inclined along both x and y
# face_y_0 = CF(Rf = y_ - L_y / 2.0 * 0.05 * t_ * y_ / L_y)
# face_y_L = CF(Rf = y_ - L_y + L_y / 2.0 * 0.05 * t_ * y_ / L_y)
# cp.cf_lst = [(face_x_0, n_h[0, :]),
# (face_z_0, n_h[0, :]),
# (face_y_0, n_h[:, 0]),
# (face_y_L, n_h[:, -1])]
z_nodes = n_h[:, :].flatten()
print z_nodes
cp.cf_lst = [(face_x_0, [n_h[0, 0]]),
(face_z_0, z_nodes),
(face_y_0, n_h[:, 0]),
(face_y_L, n_h[:, -1])]
return cp
def create_cp_dc(L_x = 4, L_y = 4, n_x = 1, n_y = 2,
n_steps = 100):
'''Create scalable rhombus crease pattern with dof_constraints
'''
cp = YoshimuraCreasePattern(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)
y_links.append([(n_arr[0], 1, 1.0), (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
fn_x = sm.lambdify([x_], fn.subs(abc_subs))
# y2 = ((x - Lx / 2) / Lx / 2) * fn_x(y)
# x2 = ((x - Lx / 2) / Lx / 2) * fn_x(x)
return np.c_[x, y, z]
if __name__ == '__main__':
L_x = 1.4
L_y = 0.8
cp = YoshimuraCreasePattern(n_steps=5,
L_x=L_x,
L_y=L_y,
n_x=4,
n_y=4,
#geo_transform = GT(L_x = L_x, L_y = L_y),
show_iter=False,
z0_ratio=0.1,
MAX_ITER=100)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
face_z_t = CnstrTargetFace(F=[r_, s_, 1.7 * t_ * (r_ * (1 - r_ / L_x))]) #- s_ / 8 * (1 - s_ / L_y))])
n_arr = np.hstack([n_h[::, (0, 2)].flatten(),
n_h[(0, 1, 3, 4), 1].flatten(),
# n_v[:, :].flatten(),
n_i[1:-1, :].flatten()
])
cp.tf_lst = [(face_z_t, n_arr)]
# own Modules
from oricrete.folding import YoshimuraCreasePattern, CreasePattern, CreasePatternView
from oricrete.folding.cnstr_target_face import CnstrTargetFace, r_, s_, t_
from oricrete.folding.equality_constraint import EqConsDevelopability
if __name__ == "__main__":
n_x = 3
n_y = 8
L_x = 49.7
L_y = 31.0
cp = YoshimuraCreasePattern(
n_steps=1, L_x=L_x, L_y=L_y, n_x=n_x, n_y=n_y, show_iter=False, z0_ratio=0.1, MAX_ITER=100
)
n_h = cp.N_h
n_v = cp.N_v
n_i = cp.N_i
A = 0.4
B = 1.0
s_term = A * t_ * s_ * (1 - s_ / L_y) # * r_ / L_x
face_z_t = CnstrTargetFace(F=[r_, s_, t_ * (B * r_ * (1 - r_ / L_x) - s_term)])
n_arr = np.hstack(
[
n_h[:, :].flatten(),