This method builds an instance of piecewise linear function defined everywhere. 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).

Namespace: ILOG.CP
Assembly: oplall (in oplall.dll)

Syntax

C#
public INumToNumSegmentFunction PiecewiseLinearFunction(
	double[] point,
	double[] slope,
	double a,
	double fa
)

Parameters

point
Type: array<System..::..Double>[]()[][]
slope
Type: array<System..::..Double>[]()[][]
a
Type: System..::..Double
fa
Type: System..::..Double

Remarks

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

Example

Examples

IPiecewiseLinearFunction(env, INumArray(env, 2, 10., 20.), INumArray(env, 3, 0.3, 1., 2.), 0, 0);

That expression 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.

See Also