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109 lines
3.5 KiB
C
109 lines
3.5 KiB
C
#include<stdio.h>
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#include<conio.h>
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#include<math.h>
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#define epsil 0.0001
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int p,c[10];
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void appro();
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void bisection(float,float,float,float);
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float fun(float x)
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{
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int i;
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float y=0.0;
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y=log10(x)-cos(x);
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return y;
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}
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void main()
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{
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int i;
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clrscr();
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appro();
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getch();
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}
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void bisection(float x1,float x2,float fx1,float fx2)
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{
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float x3,fx3;
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int n=1;
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if(fx1<0&&fx2>0||fx1>0&&fx2<0)
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{
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printf("******************************************************************\n");
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printf("\nIt x1 fx1 x2 fx2 x3 fx3\n");
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printf("******************************************************************\n");
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do
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{
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x3=(x1+x2)/2;
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fx3=fun(x3);
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if(fx3==0)
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{
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break;
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}
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if((fx1*fx3)>0)
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{
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x1=x3;
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fx1=fx3;
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}
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else
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{
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x2=x3;
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fx2=fx3;
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}
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printf("%d %.4f %.4f %.4f %.4f %.4f %.4f\n",n,x1,fx1,x2,fx2,x3,fx3);
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n=n+1;
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}
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while((fabs(x1-x2)>epsil)&&(fx3!=0));
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printf("\n\t\t********************\n");
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printf("\n\t\tThe root is %.4f\n",x3);
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printf("\t\t********************\n");
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}
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else
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{
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clrscr();
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printf("\nError in the Initial approximation\n ");
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printf("\nPlease enter right approximation\n\n");
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appro();
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}
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}
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void appro()
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{
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float x1,x2,x3,fx1,fx2,fx3;
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printf("\nPlease Enter first approximation: ");
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scanf("%f",&x1);
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printf("\nPlease Enter first approximation: ");
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scanf("%f",&x2);
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fx1=fun(x1);
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fx2=fun(x2);
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bisection(x1,x2,fx1,fx2);
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}
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/*************************************OUTPUT**************************************
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Please Enter first approximation: 1
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Please Enter first approximation: 2
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******************************************************************
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It x1 fx1 x2 fx2 x3 fx3
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******************************************************************
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1 1.0000 -0.5403 1.5000 0.1054 1.5000 0.1054
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2 1.2500 -0.2184 1.5000 0.1054 1.2500 -0.2184
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3 1.3750 -0.0562 1.5000 0.1054 1.3750 -0.0562
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4 1.3750 -0.0562 1.4375 0.0247 1.4375 0.0247
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5 1.4062 -0.0157 1.4375 0.0247 1.4062 -0.0157
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6 1.4062 -0.0157 1.4219 0.0045 1.4219 0.0045
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7 1.4141 -0.0056 1.4219 0.0045 1.4141 -0.0056
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8 1.4180 -0.0006 1.4219 0.0045 1.4180 -0.0006
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9 1.4180 -0.0006 1.4199 0.0020 1.4199 0.0020
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10 1.4180 -0.0006 1.4189 0.0007 1.4189 0.0007
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11 1.4180 -0.0006 1.4185 0.0001 1.4185 0.0001
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12 1.4182 -0.0003 1.4185 0.0001 1.4182 -0.0003
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13 1.4183 -0.0001 1.4185 0.0001 1.4183 -0.0001
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14 1.4184 -0.0000 1.4185 0.0001 1.4184 -0.0000
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********************
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The root is 1.4184
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********************
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************************************************************************/ |