  We establish accurate eigenvalue asymptotics and, as a by-product, sharp
estimates of the splitting between two consecutive eigenvalues, for the
Dirichlet magnetic Laplacian with a non-uniform magnetic field having a jump
discontinuity along a smooth curve. The asymptotics hold in the semiclassical
limit which also corresponds to a large magnetic field limit, and is valid
under a geometric assumption on the curvature of the discontinuity curve.
