sdf_hertz_2d_axisymm_sphere.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 20 of file sdf_hertz_2d_axisymm_sphere.py.

Member Function Documentation

gradSdf()

sdf_hertz_2d_axisymm_sphere.Sphere.gradSdf	(		xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 24 of file sdf_hertz_2d_axisymm_sphere.py.

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

hessSdf()

sdf_hertz_2d_axisymm_sphere.Sphere.hessSdf	(		xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 28 of file sdf_hertz_2d_axisymm_sphere.py.

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

sDF()

sdf_hertz_2d_axisymm_sphere.Sphere.sDF	(		r,
			xc,
			yc,
			zc,
			x,
			y,
			z
	)

Definition at line 21 of file sdf_hertz_2d_axisymm_sphere.py.

    def sDF(r, xc, yc, zc, x, y, z):
        return np.sqrt((x - xc)**2 + (y - yc)**2 + (z - zc)**2) - r
 

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

• tutorials/adv-1/sdf_files/sdf_hertz_2d_axisymm_sphere.py