The function IloPiecewiseLinear creates an expression node to represent a continuous or discontinuous piecewise linear function f of the variable x. The array point contains the n breakpoints of the function such that point [i-1] ≤ point [i] for i = 1, . . ., n-1. The array slope contains the n+1 slopes of the n+1 segments of the function. The values a and fa must be coordinates of a point such that fa = f(a).

When point[i-1] = point[i], there is a step at the x-coordinate point[i-1] and its height is slope[i-1].

The expression

   IloPiecewiseLinear(x, IloNumArray(env, 2, 10., 20.),
                      IloNumArray(env, 3, 0.3, 1., 2.),
                      0, 0);
 

defines a piecewise linear function f having two breakpoints at x = 10 and x = 20, and three segments; their slopes are 0.3, 1, and 2. The first segment has infinite length and ends at the point (x = 10, f(x) = 3) since f(0) = 0. The second segment starts at the point (x = 10, f(x) = 3) and ends at the point (x = 20, f(x) = 13), where the third segment starts.