ExponentialDistribution

Bases: MeshDistribution

Exponential path distribution class expression: fn(u) = exp[ratio*u]

For more information, see MeshDistribution.

Source code in pymesh/mesh/mesh_distributions.py

class ExponentialDistribution(MeshDistribution):
    """Exponential path distribution class
    expression: fn(u) = exp[ratio*u]

    For more information, see [MeshDistribution][pymesh.mesh.mesh_distributions.MeshDistribution].
    """

    ratio = AsNumber(return_type=float)

    def __init__(self, ratio: int | float = 1.0, flip_direction: bool = False):
        super().__init__(flip_direction=flip_direction)
        self.ratio = ratio

    def copy(self) -> Self:
        return ExponentialDistribution(self.ratio, self.flip_direction)

    def get_dist_fn(self):
        flip = True if self.flip_direction else False  # breaks ref to self

        def fn(u: int | float, flip_direction: bool = flip) -> float:
            u = self.validate_fn_input(u=u, flip_direction=flip_direction)
            exp = (math.exp(self.ratio * u) - 1.0) / (math.exp(self.ratio * 1.0) - 1.0)
            return self.flip_exp(exp, flip_direction)

        return fn