Report6 Bisection, FalsePosition, Newton raphson, Secant

#include <iostream> 
#include <iomanip> 
#include <cmath> 
#include <fstream> 
#define ZERO 1.0E-20
using namespace::std;
void bisection(double,int); 
double f(double);
int main(void) 
{ 
	double epsilon; 
	int Max;
	cout<<"근¾U의C 허a용¯e오¯A차¡À:"; 
	cin>>epsilon; 
	cout<<endl; 
	cout<<"최O대¥e반öY복¬©ö횟¨ö수ùo:"; 
	cin>>Max; 
	cout<<endl;
	bisection(epsilon,Max); 
}
void bisection(double epsilon,int Max) 
{ 
	double first=0,end=1; 
	double c, cprev=0; 
	double error; 
	int n=0;
	if(f(first)*f(end)<0) // 곱Æo이I 음¨ö이I되ìC어úi야ú©¬ 실öC행a됨ìE. 
	{ 
		for(n=1;n<=Max; n++) 
		{ 
			c=(first+end)/2; 
			if(f(c)*f(first)>0) 
				first =c; 
			else 
				end =c;
			cout<<"n= " << setw(3) << n << "\t"; 
			cout<<"c= " << setiosflags(ios::fixed) << setw(9) << setprecision(6) << c <<endl;
			error=fabs(c-cprev); 
			cout<<"error="<<setiosflags(ios::fixed)<<setw(12)<<setprecision(8)<<error<<endl;
			if(error <epsilon) 
			{ 
				cout<<"근¾U사íc해¨ª는¥A: "<<setprecision(8)<<c; 
				return; 
			} 
			cprev=c; 
		} 
	}
}
double f(double x) 
{ 
	return 1+cos(x)-4*x; 
}
</fstream></cmath></iomanip></iostream></textarea>
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<img src="/assets/cfile23.uf.175AC2454D4E0C09180C4D.png" class="aligncenter" width="475" height="459" alt="" filename="제목 없음2.png" filemime="image/jpeg" /></div>
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<textarea name="code" class="cpp" style="color: rgb(51, 51, 51); font-family: 굴림; font-size: 9pt; line-height: 1.5; "> 
#include <iostream> 
#include <iomanip> 
#include <cmath> 
#include <fstream> 
#define ZERO 1.0E-20
using namespace::std;
void FalsePosition(double,int); 
double f(double);
int main(void) 
{ 
	double epsilon; 
	int Max;
	cout<<"근¾U의C 허a용¯e오¯A차¡À:"; 
	cin>>epsilon; 
	cout<<endl; 
	cout<<"최O대¥e반öY복¬©ö횟¨ö수ùo:"; 
	cin>>Max; 
	cout<<endl;
	FalsePosition(epsilon,Max); 
}
void FalsePosition(double epsilon,int Max) 
{ 
	double first=0,end=1; 
	double c, cprev=0; 
	double error; 
	int n=0;
	if(f(first)*f(end)<0) // 곱Æo이I 음¨ö이I되ìC어úi야ú©¬ 실öC행a됨ìE. 
	{ 
		for(n=1;n<=Max; n++) 
		{ 
			c=(first*f(end)-end*f(first))/(f(end)-f(first)); 
			if(f(c)*f(first)<0) 
				end =c; 
			else 
				first =c;
			cout<<"n= " << setw(3) << n << "\t"; 
			cout<<"c= " << setiosflags(ios::fixed) << setw(9) << setprecision(6) << c <<endl;
			error=fabs(c-cprev); 
			cout<<"error="<<setiosflags(ios::fixed)<<setw(12)<<setprecision(8)<<error<<endl;
			if(error <epsilon) 
			{ 
				cout<<"근¾U사íc해¨ª는¥A: "<<setprecision(8)<<c; 
				return; 
			} 
			cprev=c; 
		} 
	}
}
double f(double x) 
{ 
	return 1+cos(x)-4*x; 
}
</fstream></cmath></iomanip></iostream></textarea>
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<img src="/assets/cfile5.uf.185AC2454D4E0C09190D35.png" class="aligncenter" width="479" height="448" alt="" filename="제목 없음3.png" filemime="image/jpeg" /></div>
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<textarea name="code" class="cpp" style="color: rgb(51, 51, 51); font-family: 굴림; font-size: 9pt; line-height: 1.5; "> 
#include <iostream> 
#include <iomanip> 
#include <cmath> 
#include <fstream> 
#define ZERO 1.0E-20
using namespace::std;
void NewtonRaphson(double,double,int); 
double f(double); 
double Df(double);
int main(void) 
{ 
	double a,epsilon; 
	int Max;
	cout<<"초E기¾a값Æ¨£ a:"; 
	cin>>a; 
	cout<<endl; 
	cout<<"근¾U의C 허a용¯e오¯A차¡À:"; 
	cin>>epsilon; 
	cout<<endl; 
	cout<<"최O대¥e반öY복¬©ö횟¨ö수ùo:"; 
	cin>>Max; 
	cout<<endl;
	NewtonRaphson(a,epsilon,Max); 
}
void NewtonRaphson(double a,double epsilon,int Max) 
{ 
	double c, cprev;//x축a 교¾©ø차¡À점¢®:c , 이I전u단¥U계Æe의C 값Æ¨£ : cprev 
	double error; 
	int n;
	c=a-f(a)/Df(a);
	for(n=1;n<=Max; n++) 
	{ 
		cout<<"n= " << setw(3) << n << "\t"; 
		cout<<"c= " << setiosflags(ios::fixed) << setw(9) << setprecision(6) << c <<endl; 
		cout<<"f(c)= " << setiosflags(ios::fixed) << setw(9) << setprecision(6) << f(c) <<endl;
		//f(c)가Æ¢® 0dp 근¾U접¡Ë하I여¯¨Ï 해¨ª가Æ¢® 되ìC는¥A지o 검ÆE사íc 
		if(fabs(f(c)) <ZERO) 
		{ 
			cout<<"근¾U사íc해¨ª는¥A " << setprecision(8)<<c; 
			return; 
		}
		a=c; 
		cprev=c; 
		c=a-f(a)/Df(a);
		error=fabs(c-cprev); 
		cout<<"error="<<setiosflags(ios::fixed)<<setw(12)<<setprecision(8)<<error<<endl;
		if(error <epsilon) 
		{ 
			cout<<"근¾U사íc해¨ª는¥A: "<<setprecision(8)<<c; 
			return; 
		} 
	} 
}
double f(double x) 
{ 
	return 1+cos(x)-4*x; 
} 
double Df(double x) 
{ 
	return -sin(x)-4; 
}
</fstream></cmath></iomanip></iostream></textarea>
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<img src="/assets/cfile2.uf.165AC2454D4E0C091A525D.png" class="aligncenter" width="556" height="439" alt="" filename="제목 없음4.png" filemime="image/jpeg" /></div>
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<textarea name="code" class="cpp" style="color: rgb(51, 51, 51); font-family: 굴림; font-size: 9pt; line-height: 1.5; "> 
#include <iostream> 
#include <iomanip> 
#include <cmath> 
#include <fstream> 
#define ZERO 1.0E-20
using namespace::std;
void secant(double,int); 
double f(double);
int main(void) 
{ 
	double epsilon; 
	int Max;
	cout<<"근¾U의C 허a용¯e오¯A차¡À:"; 
	cin>>epsilon; 
	cout<<endl; 
	cout<<"최O대¥e반öY복¬©ö횟¨ö수ùo:"; 
	cin>>Max; 
	cout<<endl;
	secant(epsilon,Max); 
}
void secant(double epsilon,int Max) 
{ 
	double first=0,end=1; 
	double c, cprev=0; 
	double error; 
	int n=0;
	for(n=1;n<=Max; n++) 
	{ 
		c=(first*f(end)-end*f(first))/(f(end)-f(first)); 
		error=fabs(c-cprev);
		cout<<"n= " << setw(3) << n << "\t"; 
		cout<<"c= " << setiosflags(ios::fixed) << setw(9) << setprecision(6) << c <<endl;
		cout<<"error="<<setiosflags(ios::fixed)<<setw(12)<<setprecision(8)<<error<<endl; 
		if(error <epsilon) 
		{ 
			cout<<"근¾U사íc해¨ª는¥A: "<<setprecision(8)<<c; 
			return; 
		}
		cprev=c; 
	}
}
double f(double x) 
{ 
	return 1+cos(x)-4*x; 
}
</fstream></cmath></iomanip></iostream></textarea>
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</fstream></cmath></iomanip></iostream>