static public matp mul(matp m1, matp m2)
{
if (m1.n != m2.n)
{
Console.WriteLine("Wrong mul!");
return(new matp(1));
}
int n = m1.n;
matp rez = new matp(n);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
rez.m[i, j] += (m1.m[i, k] * m2.m[k, j]);
}
if (Math.Abs(rez.m[i, j]) < eps)
{
rez.m[i, j] = 0;
}
}
}
return(rez);
}
static public double[] mulsc(matp m, double[] x)
{
if (m.n != x.Length)
{
MessageBox.Show("Invalid length !");
}
double[] rez = new double[m.n];
double sumt = 0;
for (int i = 0; i < m.n; i++)
{
for (int j = 0; j < m.n; j++)
{
sumt += (m.m[i, j] * x[j]);
}
rez[i] = sumt;
sumt = 0;
if (Math.Abs(rez[i]) < eps)
{
rez[i] = 0;
}
}
return(rez);
}
private double[] calcB(matp a)
{
double[] b = new double[a.n];
for (int i = 1; i <= a.n; i++)
for (int j = 1; j <= a.n; j++)
b[i - 1] += j * a.gm(i, j);
return b;
}
private matp matRot(int n, int p, int q, double c, double s)
{
matp r = new matp(n);
r.initmat();
r.sm(p, p, c);
r.sm(q, q, c);
r.sm(q, p, -s);
r.sm(p, q, s);
return(r);
}
private matp matRot(int n,int p, int q, double c, double s)
{
matp r = new matp(n);
r.initmat();
r.sm(p, p, c);
r.sm(q, q, c);
r.sm(q, p, -s);
r.sm(p, q, s);
return r;
}
private double[] calcB(matp a)
{
double[] b = new double[a.n];
for (int i = 1; i <= a.n; i++)
{
for (int j = 1; j <= a.n; j++)
{
b[i - 1] += j * a.gm(i, j);
}
}
return(b);
}
public matp transpose()
{
matp t = new matp(n);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
t.m[j, i] = m[i, j];
}
}
return(t);
}
private void button4_Click(object sender, EventArgs e)
{
Ainv = new matp(n);
double[] baux;
for (int j = 1; j <= n; j++)
{
baux = getbcol(j);
setAinvcol(j, getSolTsup(R, baux));
}
show("Ainv givens calculated !");
tbAinv.Clear();
tbAinv.AppendText(Ainv.ToString());
}
private double[] getSolTsup(matp Tsup, double[] b)
{
if (Tsup.n != b.Length)
MessageBox.Show("Invalid Length !");
double[] x = new double[Tsup.n];
double sum = 0;
x[n - 1] = b[n - 1] / Tsup.m[n - 1, n - 1];
for (int i = n - 2; i >= 0; i--)
{
for (int j = i; j < n; j++)
sum += (Tsup.m[i, j] * x[j]);
x[i] = (b[i] - sum) / Tsup.m[i, i];
sum = 0;
}
return x;
}
static public matp remake(matp[] ms)
{
int n = ms[0].n * 2;
matp mr = new matp(n);
for (int i = 0; i < n / 2; i++)
{
for (int j = 0; j < n / 2; j++)
{
mr.m[i, j] = ms[0].m[i, j];
mr.m[i, j + n / 2] = ms[1].m[i, j];
mr.m[i + n / 2, j] = ms[2].m[i, j];
mr.m[i + n / 2, j + n / 2] = ms[3].m[i, j];
}
}
return(mr);
}
static public matp sub(matp m1, matp m2)
{
if (m1.n != m2.n)
{
Console.WriteLine("Wrong sub!");
return(new matp(1));
}
int n = m1.n;
matp rez = new matp(n);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
rez.m[i, j] = m1.m[i, j] - m2.m[i, j];
}
}
return(rez);
}
public matp[] section()
{
matp[] blocs = new matp[4];
for (int i = 0; i < 4; i++)
{
blocs[i] = new matp(this.n / 2);
}
for (int i = 0; i < n / 2; i++)
{
for (int j = 0; j < n / 2; j++)
{
blocs[0].m[i, j] = this.m[i, j];
blocs[1].m[i, j] = this.m[i, j + n / 2];
blocs[2].m[i, j] = this.m[i + n / 2, j];
blocs[3].m[i, j] = this.m[i + n / 2, j + n / 2];
}
}
return(blocs);
}
private double[] getSolTsup(matp Tsup, double[] b)
{
if (Tsup.n != b.Length)
{
MessageBox.Show("Invalid Length !");
}
double[] x = new double[Tsup.n];
double sum = 0;
x[n - 1] = b[n - 1] / Tsup.m[n - 1, n - 1];
for (int i = n - 2; i >= 0; i--)
{
for (int j = i; j < n; j++)
{
sum += (Tsup.m[i, j] * x[j]);
}
x[i] = (b[i] - sum) / Tsup.m[i, i];
sum = 0;
}
return(x);
}
public matp transpose()
{
matp t = new matp(n);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
t.m[j, i] = m[i, j];
return t;
}
private void button1_Click(object sender, EventArgs e)
{
DateTime dt = DateTime.Now;
eps = Math.Pow(10, -Convert.ToInt32(tbeps.Text));
opr.eps = eps;
button2.Enabled = false;
button3.Enabled = false;
button4.Enabled = false;
A = new matp(tbA.Text);
n = A.n;
show("A was processed !");
B = calcB(A);
Binit = B;
tbB.Clear();
for (int i = 0; i < n; i++)
{
tbB.AppendText(B[i].ToString() + Environment.NewLine);
}
show("B calculated (init) !");
Qt = new matp(n);
Qt.initmat();
show("Q initiated !");
double r0 = 0;
double c, s;
R = A;
for (int r = 1; r < n; r++)
{
for (int i = r + 1; i <= n; i++)
{
r0 = Math.Sqrt(R.gm(r, r) * R.gm(r, r) + R.gm(i, r) * R.gm(i, r));
if (Math.Abs(r0) < eps)
{
c = 1;
s = 0;
}
else
{
c = R.gm(r, r) / r0;
s = R.gm(i, r) / r0;
}
matp Ri = matRot(n, r, i, c, s);
R = opr.mul(Ri, R);
B = opr.mulsc(Ri, B);
Qt = opr.mul(Ri, Qt);
}
}
show("R,B,Q calculated !");
if (R.checksing() == false)
{
MessageBox.Show("Matrix singular !");
}
else
{
button3.Enabled = true;
button4.Enabled = true;
}
tbR.Clear();
tbR.AppendText(R.ToString());
tbQ.Clear();
tbQ.AppendText(Qt.transpose().ToString());
tbBb.Clear();
for (int i = 0; i < n; i++)
{
tbBb.AppendText(B[i].ToString() + Environment.NewLine);
}
show("B calculated (re) !");
tgiv = DateTime.Now - dt;
}
static public matp remake(matp[] ms)
{
int n = ms[0].n * 2;
matp mr = new matp(n);
for (int i = 0; i < n / 2; i++)
for (int j = 0; j < n / 2; j++)
{
mr.m[i, j] = ms[0].m[i, j];
mr.m[i, j + n / 2] = ms[1].m[i, j];
mr.m[i + n / 2, j] = ms[2].m[i, j];
mr.m[i + n / 2, j + n / 2] = ms[3].m[i, j];
}
return mr;
}
static public matp sub(matp m1, matp m2)
{
if (m1.n != m2.n)
{
Console.WriteLine("Wrong sub!");
return new matp(1);
}
int n = m1.n;
matp rez = new matp(n);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
rez.m[i, j] = m1.m[i, j] - m2.m[i, j];
return rez;
}
static public double[] mulsc(matp m, double[] x)
{
if (m.n != x.Length)
MessageBox.Show("Invalid length !");
double[] rez = new double[m.n];
double sumt = 0;
for (int i = 0; i < m.n; i++)
{
for (int j = 0; j < m.n; j++)
sumt += (m.m[i, j] * x[j]);
rez[i] = sumt;
sumt = 0;
if (Math.Abs(rez[i]) < eps)
rez[i] = 0;
}
return rez;
}
static public matp mul(matp m1, matp m2)
{
if (m1.n != m2.n)
{
Console.WriteLine("Wrong mul!");
return new matp(1);
}
int n = m1.n;
matp rez = new matp(n);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
rez.m[i, j] += (m1.m[i, k] * m2.m[k, j]);
if (Math.Abs(rez.m[i, j]) < eps)
rez.m[i, j] = 0;
}
return rez;
}
private void button4_Click(object sender, EventArgs e)
{
Ainv = new matp(n);
double[] baux;
for (int j = 1; j <= n; j++)
{
baux = getbcol(j);
setAinvcol(j, getSolTsup(R, baux));
}
show("Ainv givens calculated !");
tbAinv.Clear();
tbAinv.AppendText(Ainv.ToString());
}
public matp[] section()
{
matp[] blocs = new matp[4];
for (int i = 0; i < 4; i++)
blocs[i] = new matp(this.n / 2);
for (int i = 0; i < n / 2; i++)
for (int j = 0; j < n / 2; j++)
{
blocs[0].m[i, j] = this.m[i, j];
blocs[1].m[i, j] = this.m[i, j + n / 2];
blocs[2].m[i, j] = this.m[i + n / 2, j];
blocs[3].m[i, j] = this.m[i + n / 2, j + n / 2];
}
return blocs;
}
private void button1_Click(object sender, EventArgs e)
{
DateTime dt = DateTime.Now;
eps = Math.Pow(10, -Convert.ToInt32(tbeps.Text));
opr.eps = eps;
button2.Enabled = false;
button3.Enabled = false;
button4.Enabled = false;
A = new matp(tbA.Text);
n=A.n;
show("A was processed !");
B = calcB(A);
Binit = B;
tbB.Clear();
for (int i = 0; i < n; i++)
tbB.AppendText(B[i].ToString() + Environment.NewLine);
show("B calculated (init) !");
Qt = new matp(n);
Qt.initmat();
show("Q initiated !");
double r0 = 0;
double c,s;
R = A;
for (int r = 1; r < n; r++)
for (int i = r + 1; i <= n; i++)
{
r0 = Math.Sqrt(R.gm(r, r) * R.gm(r, r) + R.gm(i, r) * R.gm(i, r));
if (Math.Abs(r0) < eps)
{
c = 1;
s = 0;
}
else
{
c = R.gm(r, r) / r0;
s = R.gm(i, r) / r0;
}
matp Ri = matRot(n, r, i, c, s);
R = opr.mul(Ri, R);
B = opr.mulsc(Ri, B);
Qt = opr.mul(Ri, Qt);
}
show("R,B,Q calculated !");
if (R.checksing() == false)
MessageBox.Show("Matrix singular !");
else
{
button3.Enabled = true;
button4.Enabled = true;
}
tbR.Clear();
tbR.AppendText(R.ToString());
tbQ.Clear();
tbQ.AppendText(Qt.transpose().ToString());
tbBb.Clear();
for (int i = 0; i < n; i++)
tbBb.AppendText(B[i].ToString() + Environment.NewLine);
show("B calculated (re) !");
tgiv = DateTime.Now - dt;
}