v0.15.0
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sdf_flat.Sphere Class Reference

Public Member Functions

 sDF (r, xc, yc, zc, x, y, z)
 
 gradSdf (xc, yc, zc, x, y, z)
 
 hessSdf (xc, yc, zc, x, y, z)
 

Detailed Description

Definition at line 37 of file sdf_flat.py.

Member Function Documentation

◆ gradSdf()

sdf_flat.Sphere.gradSdf ( xc,
yc,
zc,
x,
y,
z )

Definition at line 46 of file sdf_flat.py.

46 def gradSdf(xc, yc, zc, x, y, z):
47 a = (x-xc)**2 + (y-yc)**2 + (z-zc)**2
48 c_val = np.sqrt(a)
49 c_val_A = 1./c_val
50 c_val_dx = c_val_A * (x-xc)
51 c_val_dy = c_val_A * (y-yc)
52 c_val_dz = c_val_A * (z-zc)
53
54 c_val_dx = c_val_dx.reshape((-1,1))
55 c_val_dy = c_val_dy.reshape((-1,1))
56 c_val_dz = c_val_dz.reshape((-1,1))
57 grad_array = np.hstack([c_val_dx,c_val_dy,c_val_dz])
58 return grad_array
59

◆ hessSdf()

sdf_flat.Sphere.hessSdf ( xc,
yc,
zc,
x,
y,
z )

Definition at line 60 of file sdf_flat.py.

60 def hessSdf(xc, yc, zc, x, y, z):
61 x = x-xc
62 y = y-yc
63 z = z-zc
64 Hxx = -x**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
65 Hzx = -x*z/(x**2 + y**2 + z**2)**(3/2)
66 Hxy = -x*y/(x**2 + y**2 + z**2)**(3/2)
67 Hyy = -y**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
68 Hzy = -y*z/(x**2 + y**2 + z**2)**(3/2)
69 Hzz = -z**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
70 # xx, yx, zx, yy, zy, zz
71 Hxx = Hxx.reshape((-1,1))
72 Hzx = Hzx.reshape((-1,1))
73 Hxy = Hxy.reshape((-1,1))
74 Hyy = Hyy.reshape((-1,1))
75 Hzy = Hzy.reshape((-1,1))
76 Hzz = Hzz.reshape((-1,1))
77 hess_array = np.hstack([Hxx, Hxy, Hzx, Hyy, Hzy, Hzz])
78
79 return hess_array
80
81

◆ sDF()

sdf_flat.Sphere.sDF ( r,
xc,
yc,
zc,
x,
y,
z )

Definition at line 38 of file sdf_flat.py.

38 def sDF(r, xc, yc, zc, x, y, z):
39 dx = np.subtract(x, xc)
40 dy = np.subtract(y, yc)
41 dz = np.subtract(z, zc)
42 a = dx**2 + dy**2 + dz**2
43 gap = np.sqrt(a) - r
44 return gap
45

The documentation for this class was generated from the following file: