//on pt
public static void Example2()
{
Matrix a = MatrixGenerator.From(new double[,]
{
{0,2,-3,4,1,7,1,0},
{0,1,1,8,0,-8,1,1},
{-1,4,-3,5,0,-11,1,0}
});
Matrix bHelp = MatrixGenerator.From(new double[,]
{
{ 1,2,1,2,-2,-2,1,3},
{0,1,0,1,0,1,0,1},
{3,2,1,4,5,-6,-7,2}
});
Matrix aHelp = MatrixGenerator.From(new double[,]
{
{6,4,4}
}).Transpose();
Matrix b = MatrixGenerator.From(new double[,]
{
{12,4,-5},
}).Transpose();
Matrix xBase = MatrixGenerator.From(new double[,]
{
{5,0,0,0,12,0,0,4},
}).Transpose();
Matrix c = aHelp.Copy().Transpose().Multiply(bHelp).Transpose().Multiply(-1);
Matrix d = bHelp.Copy().Transpose().Multiply(bHelp);
List<int> baseIndexes = new List<int>(new[] { 0,4,7 });
var sm = new QuadraticProgrammingProblem(a, c, d, xBase, baseIndexes, baseIndexes);
Matrix ans = null;
bool isSolved = sm.Solve(out ans);
PrintAns(isSolved, ans, c, d);
Console.WriteLine("A*x - b:\n{0}", a.Copy().Multiply(ans).Add(b.Copy().Multiply(-1)));
}
//on pt
public static void Example3()
{
Matrix a = MatrixGenerator.From(new double[,]
{
{1,0,2,0,1,2,-4,1},
{0,-1,-8,0,-1,0,3,2},
{0,0,3,1,-1,1,-3,1}
});
Matrix bHelp = MatrixGenerator.From(new double[,]
{
{1,3,0,-8,1,1,2,0},
{2,-1,1,-5,0,1,-1,0},
{4,0,0,1,0,1,-4,0}
});
Matrix aHelp = MatrixGenerator.From(new double[,]
{
{0,-3,2}
}).Transpose();
Matrix b = MatrixGenerator.From(new double[,]
{
{3,-5,2},
}).Transpose();
Matrix xBase = MatrixGenerator.From(new double[,]
{
{.329141993484944, .047415684987319, .593510086504827, 0, .377058616418933, .510250860182017, 0, .086277496722435}
//{3,5,0,2,0,0,0,0},
}).Transpose();
Matrix c = aHelp.Copy().Transpose().Multiply(bHelp).Transpose().Multiply(-1);
Matrix d = bHelp.Copy().Transpose().Multiply(bHelp);
//Matrix c = MatrixGenerator.From(new double[,]
// {
// {0,0,0,0,0,0,0,0}
// }).Transpose();
//Matrix d = Matrix.UnityMatrixE(8);
List<int> baseIndexes = new List<int>(new[] { 0, 2, 5 });
List<int> baseStar = new List<int>(new[] { 0, 1, 2, 4, 5,7 });
var sm = new QuadraticProgrammingProblem(a, c, d, xBase, baseIndexes, baseStar);
Matrix ans = null;
bool isSolved = sm.Solve(out ans);
PrintAns(isSolved, ans, c, d);
Console.WriteLine("Ax:\n{0}", a.Copy().Multiply(ans));
Console.WriteLine("Bx:\n{0}", bHelp.Copy().Multiply(ans));
}
//from p.15/task5/ex1
public static void ExampleGenIt4()
{
//1 0 0 4
Matrix a = MatrixGenerator.From(
new double[,]{
{1, 4, 4, 1},
{1, 7, 8, 2}});
Matrix c = MatrixGenerator.From(new double[,] { { 1, -3, -5, -1 } }).Transpose();
Matrix xBase = MatrixGenerator.From(new double[,] { { 1, 0, 1, 0 } }).Transpose();
List<int> baseIndexes = new List<int>(new[] { 0, 2 });
Matrix d = new Matrix(4,4);
var sm = new QuadraticProgrammingProblem(a, c, d, xBase, baseIndexes, baseIndexes);
Matrix ans = null;
bool isSolved = sm.Solve(out ans);
Console.WriteLine("IsSolved: {0}\nSolution:\n{1}", isSolved, isSolved ? ans.ToString() : "");
}
//page 13
//ans = [0, 1, 0, 3]
public static void ExampleGenIt1()
{
Matrix a = new Matrix(2, 4);
a[0, 0] = 3; a[0, 1] = 1; a[0, 2] = 1; a[0, 3] = 0;
a[1, 0] = 1; a[1, 1] = -2; a[1, 2] = 0; a[1, 3] = 1;
Matrix c = new Matrix(4, 1);
c[0, 0] = 1;
c[1, 0] = 4;
c[2, 0] = 1;
c[3, 0] = -1;
Matrix d = new Matrix(4, 4);
Matrix xBase = new Matrix(4, 1);
xBase[0, 0] = 0;
xBase[1, 0] = 0;
xBase[2, 0] = 1;
xBase[3, 0] = 1;
List<int> baseIndexes = new List<int>(new[] { 2, 3 });
var sm = new QuadraticProgrammingProblem(a, c, d, xBase, baseIndexes, baseIndexes);
Matrix ans = null;
bool isSolved = sm.Solve(out ans);
PrintAns(isSolved, ans, c, d);
}