Управляющая программа: Выполнение практических заданий лабораторной работы № 6

Лабораторная работа №5.

Задание №2

#include<conio.h>

#include<iostream.h>

#include"define01.h"

int AprLine(int n, Vector X, Vector Y,

double& A0, double& A1, double& S);

void main()

{

Vector X,Y;

int n,i;

double S,A0,A1;

clrscr();

n=4;

X[1]=0.5; X[2]=1;  X[3]=2;  X[4]=3;

Y[1]=0.5; Y[2]=1;  Y[3]=2;  Y[4]=4;

for(i=1;i<=n;i++)

{

cout<<"X["<<i<<"]="<<X[i]<<"   Y["<<i<<"]="<<Y[i]<<endl;

}

AprLine(n,X,Y,A0,A1,S);

cout<<"S="<<S<<endl;

cout<<"A0="<<A0<<endl;

cout<<"A1="<<A1<<endl;

getch();

}

Результат.

Задание №3.

#include<conio.h>

#include<iostream.h>

#include"define01.h"

int AprPoly(int n, Vector X, Vector Y, int m, Vector A, double& S);

void main()

{

Vector X, Y, A;

 int n, i, m;

 double S;

 clrscr();

 n = 5;

 m = 3;

X[1] = 0.5;  X[2] = 1.0;  X[3] = 2.0;  X[4] = 3.0;  X[5] = 3.5;

Y[1] = 0.5;  Y[2] = 1.0;  Y[3] = 2.0;  Y[4] = 3.0;  Y[5] = 0.5;

for(i=1; i<=n; i++)

 {

 cout << "X[" << i << "]=" << X[i] << "   Y[" << i << "]=" << Y[i] << "\n";

 }

 cout << "\n\n";

  AprPoly(n, X, Y, m, A, S);

 cout << "S=" << S << endl << endl;

 for(i=0; i<=m; i++)

 {

  cout << "A[" << i << "]=" << A[i] << endl;

 }

  getch();

 }

Результат.

Лабораторная работа №6.

Задание №2.

Управляющая программа.

#include <iostream.h>

#include <conio.h>

double funame(double x);

double proiz_ar(double(*Fname)(double x),double x,double dx);

void main()

{

double pr, x, dx;

x = 2;

dx=0.0001;

pr = proiz_ar(funame, x, dx);

clrscr();

cout << "1-я производная: " << pr << endl;

getch();

}

Функции.

function.cpp

double funame(double x)

{

double y;

y=x*x*x*x;

return y;

}

proizvod.cpp

#include <iostream.h>

#include <conio.h>

double proiz_ar(double(*Fname)(double x),double x,double dx)

{

double dy;

dy=( Fname(x+dx)-Fname(x-dx) )/(2*dx);

return dy;

}

Задание №5.

Функция.

function.cpp

#include<iostream.h>

double function(double x)

{

double y;

y = 3*x*x;

return y;

}

Управляющие программы.

gauss.cpp

#include<iostream.h>

#include<conio.h>

double SdxGauss10(double(*FuncName)(double x), double a, double b);

double function(double x);

void main()

{

double a, b, Gauss;

clrscr();

a = -5;

b = 10;

Gauss = SdxGauss10(function, a, b);

cout << Gauss << endl;

getch();

}

spolinom.cpp

#include<iostream.h>

#include<conio.h>

#include"define01.h"

double SdxPolynom(int n, Vector A, double a, double b);

void main()

{

int n;

double a, b, Poly;

Vector A;

clrscr();

n = 3;   a = -2;  b = 4;

A[0] = 1;  A[1] = 2;  A[2] = -1;  A[3] = 4;

Poly = SdxPolynom(n, A, a, b);

cout << "SdxPolynom = " << Poly << endl;

getch();

}

sdxspl.cpp

#include<iostream.h>

#include<conio.h>

#include"define01.h"

double SdxSpline(int n, Vector X,

Vector A, Vector B, Vector C, Vector D);

void main()

{

clrscr();

Vector X, A, B, C, D;

double Spline;

int n;

n = 4;

X[0] = 1;    X[1] = 0;   X[2] = 0;    X[3] = 0;    X[4] = 3;

A[1] = 1;    A[2] = 0;   A[3] = 4;    A[4] = 1;

B[1] = 3;    B[2] = 1;   B[3] = 2;    B[4] = 4;

C[1] = 3;    C[2] = 2;   C[3] = 6;    C[4] = 3;

D[1] = 4;    D[2] = 3;   D[3] = 7;    D[4] = 1;

Spline = SdxSpline(n, X, A, B, C, D);

cout << "SdxSpline = " << Spline << cout;

getch();

}

simps10.cpp

#include<iostream.h>

#include<conio.h>

int SdxSimpsEps(double(*FuncName)(double x),

double a, double b, double eps,

int limit, int KeyDemo, double& Sdx, int& Nckl);

double function(double x);

void main()

{

int Nckl, KD, limit, Err;

double a, b, Sdx, eps;

clrscr();

a = -5;

b = 10;

KD = 1;

eps = 0.0001;

limit = 20;

Err = SdxSimpsEps(function, a, b, eps, limit, KD, Sdx, Nckl);

cout << endl << endl;

cout << "Sdx = " << Sdx << endl;

cout << "Nckl = " << Nckl << endl;

cout << "Err = " << Err << endl;

getch();

}

simpson.cpp

#include<iostream.h>

#include<conio.h>

double SdxSimps(double(*FuncName)(double x), double a, double b, int n);

double function(double x);

void main()

{

double a, b, Simpson;

int n;

clrscr();

n = 20;

a = -5;

b = 10;

Simpson = SdxSimps(function, a, b, n);

cout << Simpson << endl;

getch();

}

simstab.cpp

#include<iostream.h>

#include<conio.h>

#include"define01.h"

double SdxSimpsTab(int n, Vector X, Vector F);

void main()

{

int n;

Vector X, F;

double SimpsTab;

clrscr();

n = 5;

X[1] = 1;  X[2] = 0;  X[3] = 0;  X[4] = 0;  X[5] = 6;

F[1] = 2;  F[2] = 1;  F[3] = 5;  F[4] = 3;  F[5] = 7;

SimpsTab = SdxSimpsTab(n, X, F);

cout << "SdxSimpsTab = " << SimpsTab << endl;

getch();

}

Задание №7.

Управляющая программа.

erf.cpp

#include <iostream.h>

#include <conio.h>

#include "define01.h"

double funame(double x);

double integ_ar(double(*Fname)(double x), double a, int n, Vector In);

void Write2Vec(int n1, int n2, Vector X, Vector Y,

string FileName=STRING0, string Remark=STRING0);

void main()

{

int a, n, i, n1, n2;

double in, k;

Vector In, B;

a = 0;

n = 10;

k = 0;

n1 = 1;

n2 = 10;

in = integ_ar(funame, a, n, In);

clrscr();

for(i=1; i<in; i++)

{

cout << "Значение Z=" << k << "  функция равена: " << In[i] << endl;

k = k + 0.2;

B[i] = k;

}

getch();

Write2Vec(n1, n2, In, B);

}

Функции.

funname.cpp

#include <math.h>

double funame(double x)

{

double y;

y=(2/sqrt(3.14))*exp(-(x*x));

return y;

}

integral.cpp

#include <iostream.h>

#include "define01.h"

double integ_ar(double(*Fname)(double x), double a, int n, Vector In)

{

int i;

double h, S1, S2, k, j;

h = 0;

for(k=0, j=1; k<=2; k=k+0.2, j++)

{

h = (k - a)/n;

for(i=1, S1=0.0; i<=(n/2-1); i++)

S1 += Fname(a+2*i*h);

for(i=1, S2=0.0; i<=(n/2); i++)

S2 += Fname(a+(2*i-1)*h);

In[j] = (h/3)*(Fname(a) + Fname(k) + 2*S1 + 4*S2);

}

return j;

}

Задание №9.

Управляющая программа.

#include<iostream.h>

#include<conio.h>

double Simps2DRect(double(*FuncName)(double x, double y),

double ax, double bx, double ay, double by, int n);

double func(double x, double y);

void main()

{

int n;

double ax, bx, ay, by;

double Simps2D;

clrscr();

n = 10;

ax = -1;   bx = 2;  ay = 0;  by = 4;

Simps2D = Simps2DRect(func, ax, bx, ay, by, n);

cout << "Simps2DRect = " << Simps2D << endl;

getch();

}

Функция.

#include<math.h>

double func(double x, double y)

{

return (x*y)/(pow(x,2) + pow(y,2));

}