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.

    def gradSdf(xc, yc, zc, x, y, z):
        a = (x-xc)**2 + (y-yc)**2 + (z-zc)**2
        c_val = np.sqrt(a)
        c_val_A = 1./c_val
        c_val_dx = c_val_A * (x-xc)
        c_val_dy = c_val_A * (y-yc)
        c_val_dz = c_val_A * (z-zc)
 
        c_val_dx = c_val_dx.reshape((-1,1))
        c_val_dy = c_val_dy.reshape((-1,1))
        c_val_dz = c_val_dz.reshape((-1,1))
        grad_array = np.hstack([c_val_dx,c_val_dy,c_val_dz])
        return grad_array
 

hessSdf()

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

Definition at line 60 of file sdf_flat.py.

    def hessSdf(xc, yc, zc, x, y, z):
        x = x-xc
        y = y-yc
        z = z-zc
        Hxx = -x**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
        Hzx = -x*z/(x**2 + y**2 + z**2)**(3/2)
        Hxy = -x*y/(x**2 + y**2 + z**2)**(3/2)
        Hyy = -y**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
        Hzy = -y*z/(x**2 + y**2 + z**2)**(3/2)
        Hzz = -z**2/(x**2 + y**2 + z**2)**(3/2) + 1/np.sqrt(x**2 + y**2 + z**2)
        # xx, yx, zx, yy, zy, zz
        Hxx = Hxx.reshape((-1,1))
        Hzx = Hzx.reshape((-1,1))
        Hxy = Hxy.reshape((-1,1))
        Hyy = Hyy.reshape((-1,1))
        Hzy = Hzy.reshape((-1,1))
        Hzz = Hzz.reshape((-1,1))
        hess_array = np.hstack([Hxx, Hxy, Hzx, Hyy, Hzy, Hzz])
 
        return hess_array
 
 

sDF()

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

Definition at line 38 of file sdf_flat.py.

    def sDF(r, xc, yc, zc, x, y, z):
        dx = np.subtract(x, xc)
        dy = np.subtract(y, yc)
        dz = np.subtract(z, zc)
        a = dx**2 + dy**2 + dz**2
        gap = np.sqrt(a) - r
        return gap
 

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

• users_modules/eshelbian_plasticity/examples/sdf_flat.py