Лабораторные работы3 / 1,2,3 / №2 / VV11

program naiskor;
uses crt, graph;
var k,n,m,i,dr,md:integer;
q,y,a,b,a1,a2,yk,ymin,xmin,d,e,x1,x2,p_1,p_2,us:real;

function realst(r:real; dig,deg:integer):string;
var Buf:string[20];
begin
str(r:dig:deg,buf);
realst:=Buf;
end;

function f(var x1,x2:real):real;
begin
f:=x1-1.4*x2+exp(0.01*x1*x1+0.11*x2*x2);
end;
Function p1(var x1,x2: real): real;
begin
p1:=1+exp(0.01*x1*x1+0.11*x2*x2)*0.02*x1;
end;

Function p2(var x1,x2: real): real;
begin
p2:=-1.4+exp(0.01*x1*x1+0.11*x2*x2)*0.22*x2;
end;

function fa1(var x1,p_1,a1:real):real;
begin
fa1:=x1-a1*p_1;
end;

function fa2(var x2,p_2,a2:real):real;
begin
fa2:=x2-a2*p_2;
end;

begin
clrscr;
write('vvedite nachalnoe priblisenie Xo1 '); readln(x1);
write('vvedite nachalnoe priblisenie Xo2 '); readln(x2);
write('vvedite uslovie ostanova e '); readln(e);
k:=0;
dr:=detect;
initgraph(dr,md,'');
setGraphmode(md);
line(399,0,399,470);
line(0,200,640,200);
outtextxy(620,210,'x1');
outtextxy(410,455,'x2');
setcolor(black);
lineto(410,250);
lineto(round(x1*20+399),round(x2*50+200));
setcolor(white);
p_2:=p2(x1,x2);
p_1:=p1(x1,x2);
repeat
k:=k+1;
a:=0;
b:=1;
n:=75;
m:=1;
a1:=(a+b)/2;
yk:=fa1(x1,p_1,a1);
ymin:=999999;
repeat
m:=m-1;
for i:=1 to n do
begin
a1:=a+i*(b-a)/(n+1);
if fa1(x1,p_1,a1)<ymin then
begin
ymin:=fa1(x1,p_1,a1);
xmin:=a1;
end;
end;
a1:=xmin;
yk:=ymin;
d:=b-a;
a:=a1-d/(n+1);
b:=a1+d/(n+1);
until m=0;
a:=0;
b:=1;
n:=75;
m:=1;
a2:=(a+b)/2;
yk:=fa2(x2,p_2,a2);
ymin:=999999;
repeat
m:=m-1;
for i:=1 to n do
begin
a2:=a+i*(b-a)/(n+1);
if fa2(x2,p_2,a2)<ymin then
begin
ymin:=fa2(x2,p_2,a2);
xmin:=a2;
end;
end;
a2:=xmin;
yk:=ymin;
d:=b-a;
a:=a2-d/(n+1);
b:=a2+d/(n+1);
until m=0;
x1:=x1-a1*p_1;
x2:=x2-a2*p_2;
p_1:=p1(x1,x2);
p_2:=p2(x1,x2);
us:=sqrt(p_1*p_1+p_2*p_2);
lineto(round(x1*30+400),round(x2*30+200));
until (abs(us)<e)or(abs(us)=e);
y:=f(x1,x2);
outtextxy(40,20,'tochka minimuma imeet koordinati: ');
outtextxy(40,30,'x1= ' + realst(x1,10,5));
outtextxy(40,40,'x2= ' + realst(x2,10,5));
outtextxy(40,50,'y= ' + realst(f(x1,x2),10,10));
outtextxy(40,60,'chislo vichislenij ravno '+realst(k,5,0));
readkey;
closegraph;
end.