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int main( )
{
char expstr[80], expstrDerivative[80], bracketAns;
char functionAns, functionAdd[80];
int NLmethod, iterationNum = 0, bracketNum;
int secantMethod, choiceAns, illinoisdecimal;
double errorp, errorperv, bracketSize, guess;
double guess1, x1, x2, x3, fx1, fx2, fx3, xtemp, h, fval, derivative, errorptolerance;
double bowl1, bowl2, bowl3, bowl4, adderFunction, adderFunction1;
analyzer equation;
{
std::cout << "Enter Equation: " << endl << endl << " f(x) = ";
cin.getline( expstr, 79 );
repeatMethod:
clrscr();
std::cout << endl << endl << "Evaluate Expression: " << endl << endl << " f(x) = " << expstr;
std::cout << " - sinh(x)";
cout << "\n\n by " ;
if( *expstr == '.' )
{
return 0 ;
}
cout << endl << endl;
std::cout << " 1. Newton's Method / Newton-Raphson Method" << endl;
std::cout << " 2. Illinois' Method / Modified Regula-Falsi Method" << endl;
std::cout << " 3. Secant Method (Backward, Central, Forward)" << endl;
std::cout << "\n Enter method: ";
cin >> NLmethod;
NLmethod = NLmethod + 3;
std::cout << "\n\n (Input 0 for Approx Rel. Error = 0.0000000001 %)";
std::cout << "\n Enter Approximate Relative Error Tolerance: ";
cin >> errorptolerance;
if(errorptolerance <= 0)
{
errorptolerance = 0.0000000001;
}
clrscr();
do
{
cout << "\n\n f(x) = " << expstr;
cout << " - sinh(x)"; //special case..
cout << "\n\n Initiate Incremental Search Method? (Y/N): ";
cin >> bracketAns;
if (bracketAns == 'Y' || bracketAns == 'y')
{
cout << endl << " Enter lower limit: ";
cin >> x1;
cout << endl << " Enter upper limit: ";
cin >> x2;
cout << endl << " Enter number of Brackets: ";
cin >> bracketNum;
if ( x1 >= x2 || bracketNum <= 0)
{
cout << endl << endl << "Input ERROR!";
pause;
}
double bracket[bracketNum], fxVal[bracketNum];
bracketSize = (x2 - x1) / abs(bracketNum);
cout << endl << endl << " Lower Bracket Average Upper Braket";
for (int y = 0; y < bracketNum; y++)
{
bracket[y] = x1 + (y * bracketSize);
bracket[y+1] = x1 + ((y+1) * bracketSize);
if ((equation.sniff( expstr, bracket[y]) - sinh(bracket[y])) * (equation.sniff( expstr, bracket[y+1]) - sinh(bracket[y+1])) <= 0) /// Special Case
{
cout << std::fixed;
cout << std::setprecision(5) << "\n " << bracket[y];
cout <<" " << (bracket[y] + bracket[y+1])/2 ;
cout <<" " << bracket[y+1];
}
}
cout << endl << "::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::";
}
else if (bracketAns == 'N' || bracketAns == 'n')
{
break;
}
else
{
clrscr();
cout << "Invalid Input!";
}
} while ((bracketAns != 'Y') || (bracketAns != 'y') || (bracketAns != 'N') || (bracketAns != 'n'));
switch (NLmethod)
{
case NEWTON:
{
clrscr();
cout << "\n\n**\\\\ Newton-Raphson Method //**" ;
cout << endl << endl << endl;
cout << " f(x) = " << expstr << " - sinh(x)" << endl << endl;
cout << endl << " Enter derivative function, f'(x) = ";
cin >> expstrDerivative;
cout << endl << " f'(x) = " << expstrDerivative << " - cosh(x)"; //special Case
pause;
clrscr();
cout << "\n\n**\\\\ Newton-Raphson Method //**" << endl << endl << endl;
cout << " f(x) = " << expstr << " - sinh(x)"<< endl << endl; // Special Case
cout << " f'(x) = " << expstrDerivative << " - cosh (x)" << endl << endl; // Special Case
cout << endl << " Enter Starting Value: ";
cin >> guess;
cout << endl << endl <<" Iteration # X Approx Relative Error (%)";
iterationNum = 0;
errorperv = errorptolerance;
do
{
fval = equation.sniff( expstr, guess ) - sinh(guess);
derivative = equation.sniff (expstrDerivative, guess) - cosh(guess);
cout << endl << endl << " " << iterationNum;
cout << " ";
std::cout << std::fixed << std::setprecision(15) << guess;
guess1 = guess - (fval/derivative);
errorp = abs((guess1 - guess)/guess1)*100;
if (iterationNum < 1)
{
cout << " -----------";
}
else if (iterationNum >= 1)
{
cout << " ";
cout << std::setprecision(4) << errorperv;
}
if (iterationNum > 10000)
{
cout << "\n\n ::::::::::::::::::::::::::::: END OF ANALYSIS ::::::::::::::::::::::::::::::::";
cout << "\n\n :::::::::::::::::::::::: Divergent at Value Given ::::::::::::::::::::::::::::\a";
break;
}
errorperv = errorp;
iterationNum++;
guess = guess1;
}while (errorp >= errorptolerance);
cout << "\n\n ::::::::::::::::::::::::::::: END OF ANALYSIS ::::::::::::::::::::::::::::::::\a";
break;
}
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