[(n_h[0, 0], 1, 1.0), (n_h[3, 0], 1, -1)], # 1
[(n_h[0, 0], 1, 1.0), (n_h[4, 0], 1, -1)], # 1
[(n_h[0, -1], 1, 1.0), (n_h[1, -1], 1, -1)], # 0
[(n_h[0, -1], 1, 1.0), (n_h[2, -1], 1, -1)], # 1
[(n_h[0, -1], 1, 1.0), (n_h[3, -1], 1, -1)], # 1
[(n_h[0, -1], 1, 1.0), (n_h[4, -1], 1, -1)], # 1
# [(n_h[1, -1], 1, 1.0), (n_h[1, 0], 1, 1.0)],
]
cp.cnstr_rhs = np.zeros((len(cp.cnstr_lhs),), dtype=float)
#del cp.eqcons['cl']
# @todo - renaming of methods
# @todo - projection on the caf - to get the initial vector
# @todo - gemetry transformator
# @todo - derivatives of caf for the current position.
# @todo - rthombus generator with cut-away elements
# @todo - time step counting - save the initial step separately from the time history
X0 = cp.generate_X0()
X_fc = cp.solve(X0 - 1e-8)
my_model = CreasePatternView(data=cp,
ff_resolution=100,
show_cnstr=True)
my_model.configure_traits()
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 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_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 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
