rgpycrumbs.func.muller_brown

Functions

muller_brown(x)	Evaluate the Muller-Brown potential at position x.
muller_brown_gradient(x)	Compute the analytical gradient of the Muller-Brown potential at x.

Module Contents

rgpycrumbs.func.muller_brown.muller_brown(x)

Evaluate the Muller-Brown potential at position x.

The Muller-Brown surface is a standard 2D test potential with three minima and two saddle points, commonly used for benchmarking path-finding and optimization algorithms.

Args:

x: Position as a 2-element sequence [x, y]. Each element may be a

scalar or an array (for vectorized evaluation over a meshgrid).

Returns:

Potential energy value(s) at the given position(s).

Added in version 0.0.1.

rgpycrumbs.func.muller_brown.muller_brown_gradient(x)

Compute the analytical gradient of the Muller-Brown potential at x.

Args:

x: Position as a 2-element array [x, y].

Returns:

numpy.ndarray: Gradient vector [dV/dx, dV/dy].

Added in version 0.0.1.