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
'''
rcp = 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 = rcp.N_h
n_i = rcp.N_i
n_v = rcp.N_v
cp = Lifting(n_steps=n_steps)
cp.cp_geo(rcp)
caf = CnstrTargetFace(F=[r_, s_, 4 * 0.4 * t_ * r_ * (1 - r_ / L_x) + 0.15])
n_arr = np.hstack([n_h[:, :].flatten(),
#n_v[:, :].flatten(),
n_i[:, :].flatten()
])
cp.init_tf_lst = [(caf, n_arr)]
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]
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_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)
'''
rcp = 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 = rcp.N_h
n_i = rcp.N_i
n_v = rcp.N_v
cp = Lifting(n_steps=n_steps)
cp.cp_geo(rcp)
caf = CnstrTargetFace(F=[r_, s_, 4 * 0.4 * t_ * r_ * (1 - r_ / L_x) + 0.15])
n_arr = np.hstack([n_h[:, :].flatten(),
#n_v[:, :].flatten(),
n_i[:, :].flatten()
])
cp.init_tf_lst = [(caf, n_arr)]
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]
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=2, n_y=4,
n_steps=100):
'''Create scalable rhombus crease pattern with face constraints
'''
rcp = 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 = rcp.N_h
n_i = rcp.N_i
n_v = rcp.N_v
cp = Lifting(n_steps=n_steps)
cp.cp_geo(rcp)
caf = CnstrTargetFace(F=[r_, s_, 4 * 0.4 * t_ * r_ * (1 - r_ / L_x) + 0.15])
n_arr = np.hstack([n_h[:, :].flatten(),
#n_v[:, :].flatten(),
n_i[:, :].flatten()
])
cp.init_tf_lst = [(caf, n_arr)]
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
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_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
'''
rcp = 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 = rcp.N_h
n_i = rcp.N_i
n_v = rcp.N_v
cp = Lifting(n_steps=n_steps)
cp.cp_geo(rcp)
caf = CnstrTargetFace(F=[r_, s_, 4 * 0.4 * t_ * r_ * (1 - r_ / L_x) + 0.15])
n_arr = np.hstack([n_h[:, :].flatten(),
#n_v[:, :].flatten(),
n_i[:, :].flatten()
])
cp.init_tf_lst = [(caf, n_arr)]
# 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
