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| unit Unit1;
{$mode objfpc}{$H+}
interface
uses
Classes, SysUtils, FileUtil, Forms, Controls, Graphics, Dialogs, Grids,
StdCtrls, Buttons, Spin;
type
{ TForm1 }
TForm1 = class(TForm)
BitBtn1: TBitBtn;
BitBtn2: TBitBtn;
Button1: TButton;
Memo1: TMemo;
SpinEdit1: TSpinEdit;
StringGrid1: TStringGrid;
StringGrid2: TStringGrid;
procedure BitBtn1Click(Sender: TObject);
procedure BitBtn2Click(Sender: TObject);
procedure Button1Click(Sender: TObject);
procedure spinEdit1Change(Sender: TObject);
procedure clean;
private
{ private declarations }
public
{ public declarations }
end;
var
Form1: TForm1;
type
TMatrix = array[0..10, 0..10 + 1] of real;
TVector = array[0..10] of real;
var
A: TMatrix;
X: TVector;
p, i, j: integer;
k, n: real;
implementation
{================ Решение системы линейных уравнений ====================}
procedure SolveSLE(n: integer; A: TMatrix; var x: TVector);
var
i, j, k, m: integer;
t: real;
begin
{прямой ход}
for i := 0 to n - 1 do
begin
{перестановка строк с максимальным A[...,i]}
t := abs(A[i, i]);
m := i;
for k := i + 1 to n - 1 do
if t < abs(A[k, i]) then
begin
m := k;
t := abs(A[k, i]);
end;
if (i <> m) then
begin
for j := 0 to n do
begin
t := A[i, j];
A[i, j] := A[m, j];
A[m, j] := t;
end;
end;
{собственно сам ход}
t := A[i, i];
for j := i to n - 1 do
A[i, j] := A[i, j] / t;
A[i, n] := A[i, n] / t;
for k := i + 1 to n - 1 do
begin
t := A[k, i];
for j := i to n - 1 do
A[k, j] := A[k, j] - t * A[i, j];
A[k, n] := A[k, n] - t * A[i, n];
end;
end;
{обратный ход}
for i := n - 1 downto 0 do
begin
x[i] := A[i, n];
for j := i + 1 to n - 1 do
x[i] := x[i] - A[i, j] * x[j];
end;
end;
{$R *.lfm}
procedure TForm1.clean;
var
n, i, j, code: integer;
begin
val(spinedit1.Text, n, code);
if code <> 0 then
begin
ShowMessage('ошибка ' + spinedit1.Text);
spinedit1.SetFocus;
exit;
end;
for i := 0 to n - 1 do
for j := 0 to n do
begin
StringGrid1.Cells[j, i] := '';
StringGrid2.Cells[j, i] := '';
end;
end;
procedure TForm1.spinEdit1Change(Sender: TObject);
begin
StringGrid1.RowCount := StrToInt(Trim(spinEdit1.Text));
StringGrid1.ColCount := StrToInt(Trim(spinEdit1.Text)) + 1;
// StringGrid3.ColCount:=StrToInt(Trim(spinEdit1.Text));
end;
procedure TForm1.BitBtn2Click(Sender: TObject);
var
i, j: integer;
begin
clean;
randomize;
for i := 0 to 10 do
for j := 0 to 10 do
begin
a[i, j] := random(50) - 25;
end;
for i := 0 to StringGrid1.RowCount - 1 do
for j := 0 to StringGrid1.ColCount - 1 do
StringGrid1.Cells[j, i] := floatToStr(a[i, j]);
end;
procedure TForm1.Button1Click(Sender: TObject);
begin
clean;
end;
procedure TForm1.BitBtn1Click(Sender: TObject);
var
i, j, n1, code: integer;
Sum: real;
begin
val(spinedit1.Text, n1, code);
if code <> 0 then
begin
ShowMessage('ошибка ' + spinedit1.Text);
spinedit1.SetFocus;
exit;
end;
Memo1.Lines.Add(floatToStr(n1) + ' ');
for i := 0 to n1 - 1 do
for j := 0 to n1 do
a[i, j] := StrToInt(StringGrid1.Cells[j, i]);
SolveSLE(n1, a, x);
for j := 0 to n1 - 1 do
StringGrid2.Cells[1, j] := floatToStr(x[j]);
for i := 0 to n1 - 1 do
begin
Sum := 0;
for j := 0 to n1 - 1 do
Sum := Sum + a[i, j] * x[j];
StringGrid2.Cells[3, i] := floatToStr(Sum);
end;
end;
end. |
(
