public static FractionValue[,] Alied(FractionValue[,] a, ref StringBuilder inDetal)
{
var res = new FractionValue[a.GetLength(0), a.GetLength(1)];
for (var i = 0; i < a.GetLength(0); i++)
{
for (var j = 0; j < a.GetLength(1); j++)
{
var sign = ((i + 1 + j + 1) % 2 == 0) ? 1 : -1;
var minor = GetMinor(a, i, j);
inDetal.Append($"+ A[{i+1},{j+1}]] = {sign} * \r\n");
inDetal.Append($"{GetStringMatrixByArray(minor)} = \r\n");
var determinate = Determinate(minor, ref inDetal);
var product = determinate * sign;
inDetal.Append($"+ A[{i + 1},{j + 1}]] = {sign} * {determinate}\r\n");
inDetal.Append($"+ A[{i + 1},{j + 1}]] = {product} \r\n\r\n\r\n");
res[i, j] = product;
}
}
return(res);
}
public static FractionValue Determinate(FractionValue[,] a, ref StringBuilder inDetal)
{
if (a.GetLength(0) == 2)
{
var res = a[0, 0] * a[1, 1] - a[0, 1] * a[1, 0];
return(res);
}
FractionValue sum = new FractionValue(0, 1);
for (var i = 0; i < a.GetLength(0); i++)
{
var minor = GetMinor(a, 0, i);
var sign = (((1 + i + 1) % 2 == 0) ? 1 : -1);
inDetal.Append($"+ [{i}] {sign} * {a[0, i]} * \r\n");
inDetal.Append($"{GetStringMatrixByArray(minor)} = \r\n");
var determinate = Determinate(minor, ref inDetal);
var product = a[0, i] * determinate * sign;
inDetal.Append($"+ [{i}] {a[0, i] * sign} * {determinate} = \r\n");
inDetal.Append($"+ [{i}] {product} \r\n\r\n\r\n");
sum += product;
}
return(sum);
}
public static FractionValue[,] GetMinor(FractionValue[,] a, int row, int col)
{
var res = new FractionValue[a.GetLength(0) - 1, a.GetLength(1) - 1];
var resi = 0;
var resj = 0;
for (var i = 0; i < a.GetLength(0); i++)
{
if (i == row)
{
continue;
}
resj = 0;
for (var j = 0; j < a.GetLength(1); j++)
{
if (col == j)
{
continue;
}
res[resi, resj] = a[i, j];
resj++;
}
resi++;
}
return(res);
}
private void mulOnDigitButton_Click(object sender, EventArgs e)
{
var value = "";
if (TMP.InputBox("Input FractalValue", "Input FractalValue like \"1/12\" or \"7\":", ref value) != DialogResult.OK)
{
return;
}
var arr1 = Matrix.GetFractialMatrixFromDataGrid(matrix1DataGridView);
FractionValue fractionValue;
try
{
fractionValue = new FractionValue(value);
}
catch
{
MessageBox.Show($"I can not create FractionValue from this string \"{value}\"");
return;;
}
var result = Matrix.MultiplicateOnFractionValue(arr1, fractionValue);
Matrix.PrintFractionMatrixToDataGrid(matrixResDataGridView, result);
resTextBox.Text = $"A * {fractionValue} = \r\n{Matrix.GetStringMatrixByArray(result)}";
}
public static FractionValue operator /(FractionValue fvA, BigInteger b)
{
var fvB = new FractionValue(b, 1);
fvA.Numerator *= fvB.Denominator;
fvA.Denominator *= fvB.Numerator;
return(DownSize(fvA));
}
public static FractionValue[,] Transposition(FractionValue[,] a)
{
var res = new FractionValue[a.GetLength(0), a.GetLength(1)];
for (var i = 0; i < a.GetLength(0); i++)
{
for (var j = 0; j < a.GetLength(1); j++)
{
res[i, j] = a[j, i];
}
}
return(res);
}
public static FractionValue[,] MultiplicateOnFractionValue(FractionValue[,] a, FractionValue b)
{
var res = new FractionValue[a.GetLength(0), a.GetLength(1)];
for (var i = 0; i < a.GetLength(0); i++)
{
for (var j = 0; j < a.GetLength(1); j++)
{
res[i, j] = a[i, j] * b;
}
}
return(res);
}
public static FractionValue operator -(FractionValue fvA, int b)
{
var fvB = new FractionValue(b, 1);
if (fvA.Denominator != fvB.Denominator)
{
fvA.Numerator *= fvB.Denominator;
fvB.Numerator *= fvA.Denominator;
fvA.Denominator *= fvB.Denominator;
fvA.Numerator -= fvB.Numerator;
return(DownSize(fvA));
}
fvA.Numerator -= fvB.Numerator;
return(DownSize(fvA));
}
public static FractionValue DownSize(FractionValue fV)
{
while (true)
{
if (fV.Numerator > -1 && fV.Numerator < 2 || fV.Denominator > -1 && fV.Denominator < 2)
{
return(fV);
}
var sign = 0;
if (fV.Numerator < 0)
{
sign++;
fV.Numerator *= -1;
}
if (fV.Denominator < 0)
{
sign++;
fV.Denominator *= -1;
}
var res = gcd(fV.Numerator, fV.Denominator);
if (res == 1 || res > fV.Numerator || res > fV.Denominator)
{
if (sign == 1)
{
fV.Numerator *= -1;
}
return(fV);
}
if (sign == 1)
{
fV.Numerator *= -1;
}
fV.Numerator /= res;
fV.Denominator /= res;
}
}
public static FractionValue[,] GetFractialMatrixFromDataGrid(DataGridView dataGrid)
{
var res = new FractionValue[dataGrid.RowCount, dataGrid.ColumnCount];
for (var i = 0; i < dataGrid.RowCount; i++)
{
for (var j = 0; j < dataGrid.ColumnCount; j++)
{
try
{
res[i, j] = new FractionValue(dataGrid[j, i].Value.ToString());
}
catch/* (Exception e)*/
{
res[i, j] = new FractionValue(1, 1);
dataGrid[j, i].Value = "1";
}
}
}
return(res);
}
public static FractionValue[,] Multiplication(FractionValue[,] a, FractionValue[,] b, ref StringBuilder inDetal)
{
var rows1 = a.GetLength(0);
var cols2 = b.GetLength(1);
var rows2 = b.GetLength(0);
var res = new FractionValue[rows1, cols2];
for (var i = 0; i < rows1; i++)
{
for (var j = 0; j < cols2; j++)
{
res[i, j] = new FractionValue(0, 1);
for (var k = 0; k < rows2; k++)
{
res[i, j] += a[i, k] * b[k, j];
inDetal.Append($"[{i},{j}] += {a[i, k]} * {b[k, j]} = {res[i, j]}\r\n");
}
}
}
return(res);
}
public FractionValue(FractionValue fV)
{
this.Numerator = fV.Numerator;
this.Denominator = fV.Denominator;
}
private void exceptButton_Click(object sender, EventArgs e)
{
var arr = Matrix.GetFractialMatrixFromDataGrid(matrix3DataGridView);
if (arr.GetLength(0) != arr.GetLength(1))
{
MessageBox.Show($"RowCount != ColCount");
return;
}
tableLayoutPanel1.RowCount = 0;
tableLayoutPanel1.Height = 0;
tableLayoutPanel1.RowStyles.Clear();
ClearCreatedItems(dataGridList);
dataGridList = new List <Control>();
tableLayoutPanel1.RowCount = arr.GetLength(0);
tableLayoutPanel1.Height = matrix3DataGridView.Height * tableLayoutPanel1.RowCount;
var strRes = new StringBuilder("");
progressBar1.Maximum = arr.GetLength(0) * arr.GetLength(0) * arr.GetLength(1) * arr.GetLength(0) * 2;
new Thread(() =>
{
for (var k = 0; k < arr.GetLength(0); k++)
{
var dataGridViewLeft = CreateDataGridView("LEFT", k);
var dataGridViewRight = CreateDataGridView("RIGHT", k);
dataGridViewLeft.ContextMenuStrip = dataGridContextMenuStrip;
dataGridViewRight.ContextMenuStrip = dataGridContextMenuStrip;
Invoke(new Action(() =>
{
dataGridList.Add(dataGridViewLeft);
dataGridViewLeft.RowCount = arr.GetLength(0);
dataGridViewLeft.ColumnCount = arr.GetLength(1);
dataGridList.Add(dataGridViewRight);
dataGridViewRight.RowCount = arr.GetLength(0);
dataGridViewRight.ColumnCount = arr.GetLength(1);
tableLayoutPanel1.Controls.Add(dataGridViewLeft, 0, k);
tableLayoutPanel1.Controls.Add(dataGridViewRight, 1, k);
tableLayoutPanel1.RowStyles.Add(new RowStyle()
{
Height = 100,
SizeType = SizeType.Percent
});
}));
var detFractionValue = new FractionValue($"{arr[k, k]}");
strRes.Append($"K[{k + 1}] det = {arr[k, k]}\r\n");
for (var i = 0; i < arr.GetLength(0); i++)
{
for (var j = 0; j < arr.GetLength(1); j++)
{
if (i == k || j == k)
{
continue;
}
strRes.Append($"A[{i + 1},{j + 1}] = {arr[i, j]} * {detFractionValue} - {arr[k, j]} * {arr[i, k]} = ");
arr[i, j] = arr[i, j] * detFractionValue - arr[k, j] * arr[i, k];
strRes.Append($"{arr[i, j]}\r\n");
Invoke(new Action(() =>
{
progressBar1.Value = k * arr.GetLength(0) * arr.GetLength(1) * arr.GetLength(0) * 2 + i * arr.GetLength(1) + j;
progressLabel.Text = $"{progressBar1.Value} / {progressBar1.Maximum} ({progressBar1.Value * 100.0 / progressBar1.Maximum:00}%)";
}));
}
}
for (var j = 0; j < arr.GetLength(0); j++)
{
if (j == k)
{
arr[k, k] = new FractionValue("1");
continue;
}
arr[k, j] *= -1;
}
Invoke(new Action(() =>
{
Matrix.PrintFractionMatrixToDataGrid(dataGridViewLeft, arr);
}));
for (var i = 0; i < arr.GetLength(0); i++)
{
for (var j = 0; j < arr.GetLength(1); j++)
{
strRes.Append($"A[{i}, {j}] = {arr[i, j]} / {detFractionValue} = ");
arr[i, j] /= detFractionValue;
strRes.Append($"{arr[i, j]}\r\n");
Invoke(new Action(() =>
{
progressBar1.Value = k * arr.GetLength(0) * arr.GetLength(1) * arr.GetLength(0) * 2 + i * arr.GetLength(1) + j + arr.GetLength(1) * 2;
progressLabel.Text = $"{progressBar1.Value} / {progressBar1.Maximum} ({progressBar1.Value * 100.0 / progressBar1.Maximum:00}%)";
}));
}
}
Invoke(new Action(() =>
{
Matrix.PrintFractionMatrixToDataGrid(dataGridViewRight, arr);
}));
}
Invoke(new Action(() =>
{
panel3.AutoScroll = false;
panel3.AutoScroll = true;
resJordansTextBox.Text = strRes.ToString();
progressBar1.Maximum = 0;
progressLabel.Text = "100%";
}));
}).Start();
}