prophys.physics

Generic physics primitives.

Each function returns a symbolic Expr backed by an exact native kernel with exact gradients. Arguments may be constants, parameters, random variables or other expressions. The primitives are generic building blocks: a transport, dispersion, thermal or reliability model is a composition of them with symbolic arithmetic, not a kernel of its own.

Functions

superpose	Superpose the Green's function contributions of all sources at every receptor.
gaussian_polygon_probability	Compute the exact probability P(x in polygon) for a bivariate normal position x ~ N(mean, L L^T).
ray_integral	Compute exact reductions of a raster along line segments (path integrals, maxima, lengths above a threshold).
propagate_linear	Compute the exact state after duration of the linear system dx/dt = generator @ x + source.
overlap_area	Compute the exact overlap area of a polygonal region with a polygon or a disk.
piecewise_polynomial	Evaluate a published piecewise polynomial fit, such as a log log scaling law, at x.
network_potentials	Solve a grounded linear network L(conductance) phi = injection for the node potentials.
state_space_loglik	Compute the exact log likelihood of an observation series under a linear Gaussian state space model.
compound_distribution	Compute the exact pmf of a compound sum of a random number of severities on the lattice 0..n_out-1.
spectral_random_field	Evaluate a stationary random field with a prescribed covariance at points (spectral randomization method).
directional_sweep	Compute node outputs reduced by the shadowing of upstream nodes along a direction, such as turbine wakes.
fatigue_damage	Compute the Palmgren Miner fatigue damage of a load or stress history by rainflow counting.