def BeispielCode4():
cp = CreasePattern()
cp.nodes = [[ 0, 0, 1.0 ],
[ 1, 0, 1.5 ],
[ 0.5, 0.0, 0.0],
[ 0.1, 0, 1.05]]
cp.crease_lines = [[ 0, 1 ],
[ 2, 3 ]]
cp.facets = [[0, 1, 3]]
cp.line_pts = [[3, 0]]
cp.cnstr_lhs = [[(3, 0, 1.0)],
[(1, 2, 1.0)],
[(1, 1, 1.0)],
[(0, 2, 1.0)],
[(0, 1, 1.0)],
[(2, 0, 1.0)],
[(2, 1, 1.0)],
[(0, 0, 1.0)]]
cp.cnstr_rhs = [1.1, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
X0 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1, 0, 0]
X = cp.solve(X0)
return cp
def halfcrane_2sticks(n_steps = 10, dx = 1.5):
"""
"""
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 5000)
cp.nodes = [[ 0, 0, 1.0 ],
[ 1, 0, 1.15 ],
[ 0.5, 0.5, -0.5],
[ 0.5, -0.5, -0.5],
# [ 0.5, 0, 0.75],
[ 0.5, 0, 1.075]]
cp.crease_lines = [[ 0, 1 ],
[ 2, 4 ],
[ 3, 4]]
cp.facets = [[0, 1, 4]]
cp.grab_pts = []
cp.line_pts = [[4, 0],
#[4, 0]
]
cp.cnstr_lhs = [[(1, 2, 1.0)],
[(1, 0, 1.0)],
[(1, 1, 1.0)],
[(0, 2, 1.0)],
[(0, 1, 1.0)],
[(2, 0, 1.0), (3, 0, -1.0) ],
[(2, 1, 1.0), (3, 1, -1.0)],
[(2, 2, 1.0), (3, 2, -1.0)],
[(3, 2, 1.0)],
[(3, 0, 1.0)]]
cp.cnstr_rhs = [dx, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
X = np.zeros((cp.n_dofs,), dtype = float)
X[5] = 0.0001
X[9] = 0.0001
# X[10] = 0.01
# X[11] = 0.01
X *= 1
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
print 'initial R\n', cp.get_G(X)
print 'initial dR\n', cp.get_G_du(X)
#cp.show_iter = True
X = cp.solve(X)
return cp
def rhombus_3x1_crane_sticks(n_steps = 10, dx = 1.0):
cp = CreasePattern(n_steps = n_steps, MAX_ITER = 500)
cp.nodes = [[0, 0, 0], #0
[0, 1, 0],
[1, 0, 0],
[1, 1, 0],
[2, 0, 0],
[2, 1, 0], #5
[3, 0, 0],
[3, 1, 0],
[0, 0.5, 0],
[3, 0.5, 0],
[0.5, 0.5, 0], #10
[1.5, 0.5, 0],
[2.5, 0.5, 0],
[0.5, 0.333, 0], #13
[0.5, 0.667, 0],
[1.5, 0.333, 0],
[1.5, 0.667, 0],
[2.5, 0.333, 0],
[2.5, 0.666, 0],
[1.5, 0.5, 1.0],
[0, 0.5, 1],
[3, 0.5, 1],
[0.5, 0.5, 1.0],
[2.5, 0.5, 1.0],
[0.5, 0.333, 1.0],
[0.5, 0.667, 1.0],
[2.5, 0.333, 1.0],
[2.5, 0.667, 1.0],
[1.5, 0.333, 1.0],
[1.5, 0.667, 1.0]
]
cp.crease_lines = [[0, 2], #0
[0, 8],
[0, 10],
[1, 3],
[1, 8],
[1, 10],
[2, 4],
[2, 10],
[2, 11],
[3, 5],
[3, 10], #10
[3, 11],
[4, 6],
[4, 11],
[4, 12],
[5, 7],
[5, 11],
[5, 12],
[6, 9],
[6, 12],
[7, 9], #20
[7, 12],
[8, 10],
[9, 12],
[10, 11],
[11, 12],
[19, 20], #26
[19, 21],
[22, 24],
[22, 25],
[19, 28],
[19, 29],
[23, 26],
[23, 27],
[13, 24],
[14, 25],
[15, 28],
[16, 29],
[17, 26],
[18, 27],
[20, 8],
[9, 21]
]
cp.facets = [[0, 2, 10],
[2, 4, 11],
[4, 6, 12],
[2, 11, 10],
[4, 11, 12],
[0, 8, 10],
[6, 9, 12],
[1, 3, 10],
[3, 5, 11],
[5, 7, 12],
[3, 10, 11],
[5, 11, 12],
[1, 8, 10],
[7, 9, 12]
]
cp.line_pts = [[22, 26],
[23, 27]]
cp.grab_pts = [[13, 0],
[14, 7],
[15, 1],
[16, 8],
[17, 2],
[18, 9]
]
cp.cnstr_lhs = [[(19, 2, 1.0)],
[(19, 1, 1.0)],
[(19, 0, 1.0)],
[(20, 1, 1.0)],
[(20, 2, 1.0)],
[(21, 1, 1.0)],
[(21, 2, 1.0)],
[(22, 0, 1.0), (24, 0, -1.0)],
[(22, 0, 1.0), (25, 0, -1.0)],
[(22, 2, 1.0), (24, 2, -1.0)],
[(22, 2, 1.0), (25, 2, -1.0)],
[(19, 0, 1.0), (28, 0, -1.0)],
[(19, 0, 1.0), (29, 0, -1.0)],
[(19, 2, 1.0), (28, 2, -1.0)],
[(19, 2, 1.0), (29, 2, -1.0)],
[(23, 0, 1.0), (26, 0, -1.0)],
[(23, 0, 1.0), (27, 0, -1.0)],
[(23, 2, 1.0), (26, 2, -1.0)],
[(23, 2, 1.0), (27, 2, -1.0)],
[(14, 1, 1.0), (16, 1, -1.0)],
#[(8, 2, 1.0)],
[(11, 1, 1.0)],
#[(9, 2, 1.0)],
[(11, 0, 1.0)],
[(13, 0, 1.0), (14, 0, -1.0)],
[(16, 1, 1.0), (18, 1, -1.0)],
[(2, 2, 1.0), (4, 2, -1.0)],
#[(13, 2, 1.0), (17, 2, -1.0)],
[(13, 1, 1.0), (15, 1, -1.0)]
]
cp.cnstr_rhs = np.zeros((cp.n_dofs,))
cp.cnstr_rhs[0] = dx
X0 = np.zeros((cp.n_dofs,), dtype = float)
X0[2] = 0.00005
X0[5] = 0.00005
X0[20] = 0.00005
X0[23] = 0.00005
X0[35] = 0.0003
X0[8] = 0.00025
X0[11] = 0.00025
X0[14] = 0.00025
X0[17] = 0.00025
X0[32] = 0.00017
X0[38] = 0.00017
X0[41] = 0.00016334
X0[44] = 0.00016334
X0[47] = 0.00028335
X0[50] = 0.00028335
X0[53] = 0.00016334
X0[56] = 0.00016334
X0[59] = 0.00025
X0[66] = 0.0001
X0[68] = 0.00016334
X0[69] = -0.0001
X0[71] = 0.00016334
X0[72] = 0.0001
X0[74] = 0.00016334
X0[75] = 0.0001
X0[77] = 0.00016334
X0[78] = -0.0001
X0[80] = 0.00016334
X0[81] = -0.0001
X0[83] = 0.00016334
X0[86] = 0.00025
X0[89] = 0.00025
X0 *= 1
np.set_printoptions(threshold = 'nan')
print 'dR', cp.get_G_du(X0)
print 'R', cp.get_G(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 * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
#cp.show_iter = True
X = cp.solve(X0)
#print'Iterationnodes', cp.iteration_nodes
cp.get_line_position(0)
return cp
def rhombus_3x2_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 = 5000)
X_rcp = cpr.generate_X0()
X_rcp = X_rcp.reshape((-1, 3))
X_rcp[:, 2] += 0.15
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, 0.666, 0],
[2.5, 1.333, 0],
[2.5, 1.667, 0]]#33
crane_nodes = [[1.5, 0.5, 1.0], #34
[0, 0.5, 1],
[3, 0.5, 1],
[0.5, 0.5, 1.0],
[2.5, 0.5, 1.0],
[0.5, 0.333, 1.0],
[0.5, 0.667, 1.0], #40
[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], #45
[0, 1.5, 1],
[3, 1.5, 1],
[0.5, 1.5, 1.0],
[2.5, 1.5, 1.0],
[0.5, 1.333, 1.0], #50
[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], #55
]
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],
[37, 39],
[37, 40],
[38, 41],
[38, 42],
[34, 43], #55
[34, 44],
[39, 22],
[40, 23], #60
[41, 30],
[42, 31],
[43, 26],
[44, 27],
#crane 2
[45, 46], #65
[45, 47],
[48, 50],
[48, 51],
[49, 52],
[49, 53],
[45, 54],
[45, 55],
[50, 24],
[51, 25],
# [52, 32],
# [53, 33],
[54, 28],
[55, 29],
[46, 13],
[47, 15],
[35, 12],
[36, 14]
]
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]
]
cp.cnstr_lhs = [[(34, 2, 1.0)],
[(34, 0, 1.0)],
[(34, 2, 1.0), (45, 2, -1.0)],
[(34, 2, 1.0), (43, 2, -1.0)],
[(34, 2, 1.0), (44, 2, -1.0)],
[(34, 0, 1.0), (43, 0, -1.0)],
[(34, 0, 1.0), (44, 0, -1.0)],
[(37, 2, 1.0), (39, 2, -1.0)],
[(37, 2, 1.0), (40, 2, -1.0)],
[(37, 0, 1.0), (39, 0, -1.0)],
[(37, 0, 1.0), (40, 0, -1.0)],
[(38, 2, 1.0), (41, 2, -1.0)],
[(38, 2, 1.0), (42, 2, -1.0)],
[(38, 0, 1.0), (41, 0, -1.0)],
[(38, 0, 1.0), (42, 0, -1.0)],
[(35, 2, 1.0)],
[(36, 2, 1.0)],
[(34, 1, 1.0), (36, 1, -1.0)],
[(34, 1, 1.0), (35, 1, -1.0)],
[(45, 0, 1.0)],
[(45, 2, 1.0), (54, 2, -1.0)],
[(45, 2, 1.0), (55, 2, -1.0)],
[(45, 0, 1.0), (54, 0, -1.0)],
[(45, 0, 1.0), (55, 0, -1.0)],
[(48, 2, 1.0), (50, 2, -1.0)],
[(48, 2, 1.0), (51, 2, -1.0)],
[(48, 0, 1.0), (50, 0, -1.0)],
[(48, 0, 1.0), (51, 0, -1.0)],
[(49, 2, 1.0), (52, 2, -1.0)],
[(49, 2, 1.0), (53, 2, -1.0)],
[(49, 0, 1.0), (52, 0, -1.0)],
[(49, 0, 1.0), (53, 0, -1.0)],
[(46, 2, 1.0)],
[(47, 2, 1.0)],
[(45, 1, 1.0), (47, 1, -1.0)],
[(45, 1, 1.0), (46, 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)],
[(37, 0, 1.0), (48, 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)],
#[(25, 1, 1.0), (29, 1, -1.0)],
#[(29, 1, 1.0), (33, 1, -1.0)],
[(3, 2, 1.0), (6, 2, -1.0)],
#[(30, 0, 1.0), (31, 0, -1.0)]
#[(30, 0, 1.0), (31, 0, -1.0)],
#[(22, 0, 1.0), (25, 0, -1.0)]
# [(12, 2, 1.0)],
# [(13, 2, 1.0)],
# [(14, 2, 1.0)],
# [(15, 2, 1.0)]
]
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] = 0.3059
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[104] = 0.45
X0[137] = 0.45
X0[131] = 0.45
X0[134] = 0.45
X0[164] = 0.45
X0[167] = 0.45
X0[113] = 0.24
X0[116] = 0.24
X0[146] = 0.24
X0[149] = 0.24
X0[119] = 0.24
X0[122] = 0.24
X0[125] = 0.24
X0[128] = 0.24
X0[152] = 0.24
X0[155] = 0.24
X0[158] = 0.24
X0[161] = 0.24
X0 *= 0.01
#np.set_printoptions(threshold='nan')
print 'dR', cp.get_G_du(X0)
print 'R', cp.get_G(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 line_test_crane(n_steps = 10, dx = 1.0):
"""
"""
cp = CreasePattern(n_steps = n_steps)
cp.nodes = [[0.75, 0.333, 0],
[0.75, 0.667, 0],
[2.25, 0.333, 0],
[2.25, 0.667, 0],
[1.5, 0.5, 1.5],
[0, 0.5, 1],
[3, 0.5, 1],
[0.8, 0.5, 1.266],
[2.2, 0.5, 1.266]
# [0.8, 0.333, 1.0533],
# [0.8, 0.667, 1.0533],
# [2.2, 0.333, 1.0533],
# [2.2, 0.667, 1.0533],
]
cp.crease_lines = [[ 4, 5 ],
[ 4, 6 ],
[ 7, 0],
[ 7, 1],
[ 8, 2],
[ 8, 3]]
# [ 7, 9 ],
# [ 7, 10 ],
# [ 8, 11 ],
# [ 8, 12 ],
# [ 0, 9 ],
# [ 1, 10],
# [ 2, 11],
# [ 3, 12]]
cp.facets = [[0, 1, 2]]
cp.grab_pts = []
cp.line_pts = [[7, 0],
[8, 1]]
cp.cnstr_lhs = [[(4, 2, 1.0)],
#[(0, 1, 1.0)],
[(4, 0, 1.0)],
#[(4, 1, 1.0)],
[(5, 1, 1.0)],
[(5, 2, 1.0)],
[(6, 1, 1.0)],
[(6, 2, 1.0)],
# [(7, 2, 1.0), (9, 2, -1.0)],
# [(7, 0, 1.0), (9, 0, -1.0)],
# [(7, 2, 1.0), (10, 2, -1.0)],
# [(7, 0, 1.0), (10, 0, -1.0)],
# [(8, 2, 1.0), (11, 2, -1.0)],
# [(8, 0, 1.0), (11, 0, -1.0)],
# [(8, 2, 1.0), (12, 2, -1.0)],
# [(8, 0, 1.0), (12, 0, -1.0)],
[(0, 2, 1.0), (1, 2, -1.0)],
[(0, 1, 1.0), (1, 1, -1.0)],
[(0, 0, 1.0), (1, 0, -1.0)],
[(2, 2, 1.0), (3, 2, -1.0)],
[(2, 0, 1.0), (3, 0, -1.0)],
[(2, 1, 1.0), (3, 1, -1.0)],
[(0, 0, 1.0)],
[(2, 1, 1.0)],
[(0, 1, 1.0)],
[(2, 0, 1.0)],
[(0, 2, 1.0)],
[(2, 2, 1.0)],
# [(0, 1, 1.0)],
]
cp.cnstr_rhs = np.zeros((cp.n_dofs,))
cp.cnstr_rhs[0] = dx
X = np.zeros((cp.n_dofs,), dtype = float)
X[14] = 0.0001
X[2] = 0.0001
# X[10] = 0.01
# X[11] = 0.01
print 'necessary constraints', cp.n_dofs - cp.n_c - cp.n_g * cp.n_d - cp.n_l * 2
print 'cnstr', len(cp.cnstr_lhs)
cp.show_iter = True
X = cp.solve(X)
return cp
