Expand a nested piecewise expression to a single piecewise function:

Convert a composition of special piecewise functions to a single Piecewise object:

Expand a piecewise function with piecewise values and piecewise conditions:

Convert Max to Piecewise:

Expand functions with infinite numbers of pieces over a finite region:

Expand a Boolean expression that implies a finite number of possible cases:

Expand assuming real parameters:

PiecewiseExpand returns a single Piecewise object:

Min, Max, UnitStep, and Clip are piecewise functions of real arguments:

Abs, Sign, and Arg are piecewise functions when their arguments are assumed to be real:

KroneckerDelta and DiscreteDelta are piecewise functions of complex arguments:

Boole is a piecewise function of a Boolean argument:

If, Which, and Switch can be interpreted as piecewise functions:

Convert Floor, Ceiling, Round, IntegerPart, and FractionalPart for finite ranges:

Convert Mod and Quotient when the number of cases is finite:

UnitBox and UnitTriangle are piecewise functions of real arguments:

Convert SquareWave, TriangleWave, and SawtoothWave for finite ranges:

BernsteinBasis and BSplineBasis are piecewise functions of real arguments:

The number of cases in the expanded form may grow exponentially:

The element of sums is a sum of piecewise functions with two cases each:

The number of cases in the expanded form of the element of sums is :

This shows graphs of summands in the fourth element of sums; their sum is shown in red: