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 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 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 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 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