autopdex.geometry.psdf_parallelogram

autopdex.geometry.psdf_parallelogram(x, x_p1, x_p2, x_p3)

Positive normalized smooth distance function to a parallelogram, positive in the interior.

Usage for rectangle with vertices [[0,0],[0,1],[1,1],[1,0]]: psdf_parallelogram(x, [0,0], [0,1], [1,0])

Parameters:

• x (jnp.ndarray) – The point where the distance is evaluated.

• x_p1 (jnp.ndarray) – First vertex of the parallelogram.

• x_p2 (jnp.ndarray) – Second vertex of the parallelogram.

• x_p3 (jnp.ndarray) – Third vertex of the parallelogram.

Returns:

The positive distance from the point x to the region outside of the parallelogram.

Return type:

float