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| uses crt,GraphABC,PointRect;
Var
a,i,j:integer;
Procedure asd;
var i,j: integer;
begin
SetWindowSize(640,400);
for j:=0 to WindowHeight-1 do
for i:=0 to WindowWidth-1 do
SetPixel(i,j,RGB(i+j,i-j,i+2*j));
for i:=0 to WindowWidth-1 do
for j:=0 to WindowHeight-1 do
SetPixel(i,j,RGB(2*i+j,i-2*j,i+2*j));
end;
Procedure zastavka;
var
knopka:char;
begin
textbackground(5);
textcolor(6);
ClrScr;
writeln; writeln; writeln; writeln; writeln; writeln;
writeln(' -=[Курсовой проект]=-');
writeln; writeln; writeln; writeln;
writeln(' Отчёт подготовили:');
writeln(' Коломин Дмитрий и Бахмат Дарья');
writeln; writeln; writeln;
writeln(' Нажмите <Enter>');
readln;
asd;
end;
{Задача №1}
procedure Zadanie_1;
const n=3;
var a:array [1..n,1..n] of real;
b:array [1..n] of real;
i,j:integer;
d,d1,d2,d3: real;
x1,x2,x3:real;
begin
clrscr;
{-----------------------------------------------------}
writeln('vvedite matrichnoe yrovnenie');
for i:= 1 to 3 do
for j:= 1 to 3 do
readln(A[i,j]);
{-----------------------------------------------------}
writeln('matrica:=');
for i:= 1 to 3 do
begin
for j:= 1 to 3 do
write(a[i,j]:4);
writeln(' ');
end;
writeln('Расширенная матрица коэффициентов:');
for i:=1 to n do
begin
for j:=1 to n do
write(a[i,j]:8:4);
writeln(b[i]:12:4);
end;
writeln;
d:= a[1,1]*a[2,2]*a[3,3]-a[1,1]*a[2,3]*a[3,2]
-a[1,2]*a[2,1]*a[3,3]+a[1,2]*a[2,3]*a[3,1]
+a[1,3]*a[2,1]*a[3,2]-a[1,3]*a[2,2]*a[3,1];
d1:=b[1]*a[2,2]*a[3,3]-b[1]*a[2,3]*a[3,2]
-a[1,2]*b[2]*a[3,3]+a[1,2]*a[2,3]*b[3]
+a[1,3]*b[2]*a[3,2]-a[1,3]*a[2,2]*b[3];
d2:= a[1,1]*b[2]*a[3,3]-a[1,1]*a[2,3]*b[3]
-b[1]*a[2,1]*a[3,3]+b[1]*a[2,3]*a[3,1]
+a[1,3]*a[2,1]*b[3]-a[1,3]*b[2]*a[3,1];
d3:= a[1,1]*a[2,2]*b[3]-a[1,1]*b[2]*a[3,2]
-a[1,2]*a[2,1]*b[3]+a[1,2]*b[2]*a[3,1]
+b[1]*a[2,1]*a[3,2]-b[1]*a[2,2]*a[3,1];
x1:=d1/d;
x2:=d2/d;
x3:=d3/d;
writeln('x1=',x1:10:4);
writeln('x2=',x2:10:4);
writeln('x3=',x3:10:4);
readln
end;
{Задача №2}
Procedure Zadanie_2;
const n=3;
var a:array[1..n,1..n] of real;
b,x:array[1..3] of real;
i,j,k:integer;z,r,g:real;
begin
clrscr;
{-----------------------------------------------------}
writeln('vvedite matrichnoe yrovnenie');
for i:= 1 to 3 do
for j:= 1 to 3 do
readln(A[i,j]);
{-----------------------------------------------------}
writeln('matrica:=');
for i:= 1 to 3 do
begin
for j:= 1 to 3 do
write(a[i,j]:4);
writeln(' ');
end;
{приведение матрицы к треугольному виду - прямой ход Гаусса}
for k:=1 to n do
begin
for j:=k+1 to n do
begin
r:=a[j,k]/a[k,k];
for i:=k to n do
a[j,i]:=a[j,i]-r*a[k,i];
b[j]:=b[j]-r*b[k];
end;
end;
{вычисление корней}
for k:=n downto 1 do
begin
r:=0;
for j:=k+1 to n do
begin
g:=a[k,j]*x[j];
r:=r+g;
end;
x[k]:=(b[k]-r)/a[k,k];
end;
writeln('Корни уравнения:');
for i:=1 to n do
write('x[',i,']=',x[i]:0:2,' ');
readln;
end;
Procedure Zadanie_3;
var
a,n,pr:array [1..3,1..3] of integer;
h,k,g,i,l,j,d:integer;
b,xc,x:array [1..3] of real;
begin
{-----------------------------------------------------}
writeln('vvedite matrichnoe yrovnenie');
for i:= 1 to 3 do
for j:= 1 to 3 do
readln(A[i,j]);
{-----------------------------------------------------}
writeln('matrica:=');
for i:= 1 to 3 do
begin
for j:= 1 to 3 do
write(a[i,j]:4);
writeln(' ');
end;
{-----------------------------------------------------}
writeln('vvedite B');
for j:= 1 to 3 do
read(b[j]);
{-----------------------------------------------------}
G:=A[1,1]*A[2,2]*A[3,3]+A[1,2]*A[2,3]*A[3,1]+A[2,1]*A[3,2]*A[1,3]-A[1,3]*A[2,2]*A[3,1]-A[1,2]*A[2,1]*A[3,3];
H:=A[2,3]*A[3,2]*A[1,1];
D:=G-H;
writeln('opredelitel:=',D);
{-----------------------------------------------------}
writeln('algebroicheskie dopolneniya:=');
n[1,1]:=a[2,2]*a[3,3]-a[2,3]*a[3,2];
writeln('a1.1=',n[1,1]);
writeln;
n[1,2]:=(a[2,1]*a[3,3]-a[2,3]*a[3,1])*(-1);
writeln('a1.2=',n[1,2]);
writeln;
n[1,3]:=a[2,1]*a[3,2]-a[2,2]*a[3,1];
writeln('a1.3=',n[1,3]);
writeln;
n[2,1]:=(a[1,2]*a[3,3]-a[1,3]*a[3,2])*(-1);
writeln('a2.1=',n[2,1]);
writeln;
n[2,2]:=a[1,1]*a[3,3]-a[1,3]*a[3,1];
writeln('a2.2=',n[2,2]);
writeln;
n[2,3]:=(a[1,1]*a[3,2]-a[1,2]*a[3,1])*(-1);
writeln('a2.3=',n[2,3]);
writeln;
n[3,1]:=a[1,2]*a[2,3]-a[1,3]*a[2,2];
writeln('a3.1=',n[3,1]);
writeln;
n[3,2]:=(a[1,1]*a[2,3]-a[1,3]*a[2,1])*(-1);
writeln('a3.2=',n[3,2]);
writeln;
n[3,3]:=a[1,1]*a[2,2]-a[1,2]*a[2,1];
writeln('a3.3=',n[3,3]);
writeln;
{-----------------------------------------------------}
writeln('matrica a=');
for i:=1 to 3 do
begin
for j:=1 to 3 do
write(' ',n[i,j]);
writeln;
end;
{-----------------------------------------------------}
for i:=1 to 3 do
for j:=i+1 to 3 do
begin
k:=n[i,j];
n[i,j]:=n[j,i];
n[j,i]:=k;
end;
{-----------------------------------------------------}
writeln('transponiruem matrixy=');
for i:= 1 to 3 do
begin
for j:= 1 to 3 do
write(' ',n[i,j]);
writeln(' ');
end;
{-----------------------------------------------------}
writeln('organizuem proverky');
for i:=1 to 3 do
for j:=1 to 3 do
for l:=1 to 3 do
pr[i,j]:=pr[i,j]+a[l,i]*n[j,l];
{-----------------------------------------------------}
for i:=1 to 3 do
begin
for j:=1 to 3 do
write(pr[i,j]:4);
writeln;
end;
{-----------------------------------------------------}
for i:= 1 to 3 do
for j:= 1 to 3 do
x[i]:=x[i]+n[i,j]*b[j];
for i:= 1 to 3 do
xc[i]:=x[i]*(1/d);
writeln;
{-----------------------------------------------------}
writeln('nahodim korni');
for i:=1 to 3 do
writeln(xc[i]:2:2);
repeat until keypressed;
writeln('zadacha3.Nazhmite <Enter> dlya prodolzheniya.');
readln;
end;
{ОСНОВНАЯ ПРОГРАММА}
Begin
zastavka;
Repeat
Writeln(' МЕНЮ');
Writeln('[Выберите задание]');
Writeln('*1-Метод Крамера');
Writeln('*2-Метод Гаусса');
Writeln('*3-Матричный метод');
Writeln('*4-Метод главных элементов');
Writeln('*0-ВЫХОД');
Readln(a);
Case a of
1:begin
SetWindowSize(640,400);
for j:=0 to WindowHeight-1 do
for i:=0 to WindowWidth-1 do
SetPixel(i,j,RGB(i+j,i-j,i+2*j));
Zadanie_1;
end;
2: begin
for i:=0 to WindowWidth-1 do
for j:=0 to WindowHeight-1 do
SetPixel(i,j,RGB(2*i+j,i-2*j,i+2*j));
Zadanie_2;
end;
3:begin
SetWindowSize(640,400);
for j:=0 to WindowHeight-1 do
for i:=0 to WindowWidth-1 do
SetPixel(i,j,RGB(i+j,i-j,i+2*j));
Zadanie_3;
end;
0:Begin
break;
end;
else
begin
clrscr;
writeln('Введено неверное число');
End;
end;
until not (a>=1) and (a<=2);
end. |
(
