#include<conio.h>
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int i=0,cnt=0,flag=0;
float x1,x2,x3=0;
float fx1=0,fx2=0,fx3=0,t=0;



float func(float f)
{
    return(log10(f)-cos(f));
}

int check()
{
    printf("\n\tINTIAL X1---->");
    scanf("%f",&x1);

    printf("\n\tINTIAL X2---->");
    scanf("%f",&x2);

    fx1=fx2=fx3=0.0;


    if( (func(x1)*func(x2))>0)
    {
        printf("\n\t INTIAL VALUES ARE NOT PERFECT.");
        return(1);
    }
    return(0);
}
void main()
{
    clrscr();


    printf("\n\n\t\t\t PROGRAM FOR PARICULAR BISECTION GENERAL");
    printf("\n\n\t EQUATION ::::: LOG(X)-COS(X)");

    while(1)
    {
        if(check()==0)
        {
            flag=1;
            break;
        }
        check();
    }
    printf("\n ******************************************************");
    printf("\n ITERATION    X1    FX1    X2    FX2     X3       FX3   ");
    printf("\n **********************************************************");

    if(flag==1)
    {
        while((fabs(x2 - x1))>=0.0001)
        {
            cnt++;
            fx1=fx2=fx3=0;

            fx1=func(x1);
            fx2=func(x2);

            x3=(x1+x2)/2;
            fx3=func(x3);

            printf("\n %d        %.3f  %.3f  %.3f  %.3f  %.3f  %.3f",cnt,x1,fx1,x2,fx2,x3,fx3);
            t=fx1*fx3;
            if(t>0)
            {
                x1=x3;
            }
            if(t<0)
            {
                x2=x3;
            }
        }
        printf("\n\t ROOT OF EQUATION IS %f:::",x3);
    }
    getch();
}


/***********************************OUTPUT***********************************/



        PROGRAM FOR PARICULAR BISECTION GENERAL

           EQUATION ::::: LOG(X)-COS(X)

    INTIAL X1---->1

    INTIAL X2---->2

 ******************************************************
 ITERATION    X1    FX1    X2    FX2     X3     FX3
 ******************************************************
 1        1.000  -0.540  2.000  0.717  1.500   0.105
 2        1.000  -0.540  1.500  0.105  1.250  -0.218
 3        1.250  -0.218  1.500  0.105  1.375  -0.056
 4        1.375  -0.056  1.500  0.105  1.438   0.025
 5        1.375  -0.056  1.438  0.025  1.406  -0.016
 6        1.406  -0.016  1.438  0.025  1.422   0.004
 7        1.406  -0.016  1.422  0.004  1.414  -0.006
 8        1.414  -0.006  1.422  0.004  1.418  -0.001
 9        1.418  -0.001  1.422  0.004  1.420   0.002
 10       1.418  -0.001  1.420  0.002  1.419   0.001
 11       1.418  -0.001  1.419  0.001  1.418   0.000
 12       1.418  -0.001  1.418  0.000  1.418  -0.000
 13       1.418  -0.000  1.418  0.000  1.418  -0.000
 14       1.418  -0.000  1.418  0.000  1.418  -0.000
 *******************************************************

     ROOT OF EQUATION IS :::::  1.41839