public Matrice Putere(int x)
{
int n = matrix.GetLength(0);
Matrice C = new Matrice(n, n);
if (n != matrix.GetLength(1))
{
Console.WriteLine("Doar matricile patratice pot avea putere"); return(C);
}
if (x == 0)
{
for (int i = 0; i < n; i++)
{
C.matrix[i, i] = 1;
}
}
else if (x == 1)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
C.matrix[i, j] = matrix[i, j];
}
}
}
else
{
C = C.Inmultire(C.Putere(x - 1));
}
return(C);
}
public Matrice Inversa()
{
int n = matrix.GetLength(0);
Matrice C = new Matrice(n, n);
if (n != matrix.GetLength(1))
{
Console.WriteLine("Doar matricile patratice pot avea inversa"); return(C);
}
CalculDeterminant();
if (determinant != 0)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
Matrice A = new Matrice(n - 1, n - 1);
for (int k = 0; k < n - 1; k++)
{
for (int l = 0; l < n - 1; l++)
{
if (k >= i && l >= j)
{
A.matrix[l, k] = matrix[k + 1, l + 1];
}
else if (k >= i && l < j)
{
A.matrix[l, k] = matrix[k + 1, l];
}
else if (k < 1 && l >= j)
{
A.matrix[l, k] = matrix[k, l + 1];
}
else
{
A.matrix[l, k] = matrix[k, l];
}
}
}
A.Afisare();
A.CalculDeterminant();
C.matrix[i, j] = (int)Math.Pow(-1, i + j) * A.determinant;
Console.WriteLine(C.matrix[i, j]);
}
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
C.matrix[i, j] *= 1f / determinant;
}
}
}
return(C);
}
public Matrice Scadere(Matrice B)
{
int n = matrix.GetLength(0), m = matrix.GetLength(1);
Matrice C = new Matrice(n, m);
if (n != B.matrix.GetLength(0) || m != B.matrix.GetLength(1))
{
Console.WriteLine("Nu se pot scadea doua matrici de dimensiuni diferite");
}
else
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
C.matrix[i, j] = matrix[i, j] - B.matrix[i, j];
}
}
}
return(C);
}
public Matrice Inmultire(Matrice B)
{
int n = matrix.GetLength(0), m = matrix.GetLength(1);
Matrice C = new Matrice(n, n);
if (n != B.matrix.GetLength(1))
{
Console.WriteLine("Numarul de coloane al primei matrice trebuie sa fie egal cu numarul de linii al celei de-a doua");
}
else
{
for (int k = 0; k < n; k++)
{
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
C.matrix[k, i] += matrix[i, j] * B.matrix[j, i];
}
}
}
}
return(C);
}
static void Main(string[] args)
{
//1
Complex a = new Complex((double)r.Next(10), (double)r.Next(10));
Complex b = new Complex((double)r.Next(10), (double)r.Next(10));
int x = r.Next(10);
Console.WriteLine("a: {0}, b: {1}", a, b);
Console.WriteLine("{0} - {1} = {2}", a, b, a - b);
Console.WriteLine("{0} + {1} = {2}", a, b, a + b);
Console.WriteLine("{0} * {1} = {2}", a, b, a * b);
Console.WriteLine("({0})^{1} = {2}", a, x, a.Putere(x));
b.Trigonometric();
Console.WriteLine();
//2
Rational r1 = new Rational(r.Next(100), r.Next(100));
Rational r2 = new Rational(r.Next(100), r.Next(100));
Console.WriteLine("r1: {0}, r2: {1}", r1, r2);
Console.WriteLine("{0} - {1} = {2}", r1, r2, r1 - r2);
Console.WriteLine("{0} + {1} = {2}", r1, r2, r1 + r2);
Console.WriteLine("{0} * {1} = {2}", r1, r2, r1 * r2);
Console.WriteLine("{0} / {1} = {2}", r1, r2, r1 / r2);
Console.WriteLine("{0}^{1} = {2}; {3}^{1} = {4}", r1, x, r1.Putere(x), r2, r2.Putere(x));
Rational R1 = r1; R1.Ireductibil();
Rational R2 = r2; R2.Ireductibil();
Console.WriteLine("{0} = {1}; {2} = {3}", r1, R1, r2, R2);
Console.WriteLine("{0} < {1}: {2}", r1, r2, r1 < r2);
Console.WriteLine("{0} > {1}: {2}", r1, r2, r1 > r2);
Console.WriteLine("{0} <= {1}: {2}", r1, r2, r1 <= r2);
Console.WriteLine("{0} >= {1}: {2}", r1, r2, r1 >= r2);
Console.WriteLine("{0} == {1}: {2}", r1, r2, r1 == r2);
Console.WriteLine("{0} != {1}: {2}", r1, r2, r1 != r2);
Console.WriteLine();
//3
Matrice A = new Matrice(3, 3);
Matrice B = new Matrice(3, 3);
A.Afisare(); B.Afisare();
Matrice C = new Matrice(3, 3);
C = A.Adunare(B); C.Afisare();
C = A.Scadere(B); C.Afisare();
C = A.Inmultire(B); C.Afisare();
C = A.Putere(3); C.Afisare();
C = B.Inversa(); C.Afisare();
//1'
ComplexD zd = new ComplexD(5, 3);
Complex D = new Complex();
D = zd.Putere(2);
Console.WriteLine(D);
Complex[] v = new Complex[2];
v[0] = new Complex(1, 1);
v[1] = new Complex(5, 2);
double d = zd.Distanta(v);
Console.WriteLine(d);
Console.ReadKey();
}