/*----------- JACOBI'S ITERATION METHOD TO SOLVE LINEAR EQUATIONS -----*/
/* THE PROGRAM SOLVES THE SYSTEM OF LINEAR EQUATIONS USING
JACOBI'S ITERATION METHOD.
INPUTS : 1) Number of variables in the equation.
2) Coefficient's of linear equations.
OUTPUTS : Results of every iteration till 'q' is pressed. */
/*--------------------------- PROGRAM -----------------------------*/
#include<stdio.h>
#include<math.h>
#include<stdlib.h>
#include<conio.h>
void main()
{
double a[10][10],x[10],y[10];
/* ARRAY OF a[n][n] STORING COEFFICIENTS OF EQUATIONS */
int i,j,n;
char ch;
clrscr();
printf("\n Computational Techniques - J. S. CHITODE");
printf("\n JACOBI'S ITERATION METHOD TO SOLVE LINEAR EQUATIONS");
printf("\n\n The form of equations is as follows\n\n"
" a11x1 + a12x2 + ... + a1nxn = b1\n"
" a21x1 + a22x2 + ... + a2nxn = b2\n"
" a31x1 + a32x2 + ... + a3nxn = b3\n"
" ................................\n"
" an1x1 + an2x2 + ... + annxn = bn\n");
printf("\n\nEnter the number of variables (max 10) = ");
/* ENTER THE NUMBER OF VARIABLES IN THE EQUATION */
scanf("%d",&n);
for(i = 1; i <= n; i++)
{
/* LOOP TO GET COEFFICIENTS a11,a12...,ann & so on */
for(j = 1; j <= n; j++)
{
printf("a%d%d = ",i,j);
scanf("%lf",&a[i][j]);
}
printf("b%d = ",i);
scanf("%lf",&a[i][j]);
x[i] = y[i] = 0;
}
printf("\n\nThe results are as follows....\n\n"
"press 'enter' key to continue iterations &"
" press 'q' to stop iterations....\n\n");
while(ch != 'q')
{
for(i = 1; i <= n; i++)
{
/* LOOP TO CALCULATE VALUES OF x1,x2,...,xn etc */
for(j = 1; j <= n; j++)
{
if(i == j) continue;
x[i] = x[i] - a[i][j]*y[j];
}
x[i] = x[i] + a[i][j];
x[i] = x[i]/a[i][i];
}
for(i = 1; i <= n; i++)
{
/* LOOP TO PRINT VALUES OF x1,x2,...xn etc */
y[i] = x[i];
printf("x%d = %lf ",i,x[i]);
x[i] = 0;
}
ch = getch();
printf("\n\n");
}
}
/*-------------------------------- END OF PROGRAM -----------------------*/
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C++ is a widely used middle-level programming language.
When ever you want to perform a set of operations based on a condition If-Else is used.
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You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.
Switch is an alternative to If-Else-If ladder.
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case value1:
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break; // optional
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break; // optional
......
default:
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For loop is used to iterate a set of statements based on a condition.
for(Initialization; Condition; Increment/decrement){
//code
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While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.
while (condition) {
// code
}
Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.
do {
// code
} while (condition);
Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.
return_type function_name(parameters);
function_name (parameters)
return_type function_name(parameters) {
// code
}