LinearConstraint Class

public class LinearConstraint : IConstraint

Public Class LinearConstraint
	Implements IConstraint

// Linear constraints are common in numerical optimization.
// Constraints can be defined using strings, expressions or
// vectors. Suppose we have a quadratic objective function:
var f = new QuadraticObjectiveFunction("2x² + 4y² - 2xy + 6");

// Then the following three are all equivalent:
var lc1 = new LinearConstraint(f, "3*x + 5*y <= 7");

double x = 0, y = 0; // Define some dummy variables
var lc2 = new LinearConstraint(f, () => 3*x + 5*y <= 7);

var lc3 = new LinearConstraint(numberOfVariables: 2)
{
    CombinedAs = new double[] { 3, 5 },
    ShouldBe = ConstraintType.LesserThanOrEqualTo,
    Value = 7
};

// Then, we can check whether a constraint is violated and, if so,
// by how much.
double[] vector = { -2, 3 };

if (lc1.IsViolated(vector))
{
    // act on violation...
}

double violation = lc2.GetViolation(vector); // negative if violated