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@SangeetAgarwal
Last active May 15, 2017 05:17
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SampleGist
int main()
{
return 0;
}
class Fraction
{
int num;
int den;
int getNum() {
return num;
}
int getDen() {
return den;
}
Fraction()
{
}
Fraction(int a, int b)
{
num = a;
den = b;
}
Fraction operator +(Fraction)
{
}
Fraction operator -(Fraction)
{
}
Fraction operator *(Fraction)
{
}
Fraction operator /(Fraction)
{
}
Fraction Exp(Fraction someFraction)
{
// 1 + [someFraction ^ 1 / 1!] + [someFraction ^ 2 / 2!] + [someFraction ^ 3 / 3!] .....
1 + 2/3 +
// below lines calculate [someFraction ^ 1 / 1!] + [someFraction ^ 2 / 2!] + [someFraction ^ 3 / 3!] .....
float result = 0;
Fraction resultUpper = new Fraction(1,1);
int counter = 1;
// do the summation until x^k/k! is less than 10^-5 i.e. .00001
float checkValue = 0.0;
while (checkValue < .00001)
{
// use the overloaded operator to multiply the fraction & the resultant fraction passed back is added to the resultUpper.
resultUpper = resultUpper * someFraction;
(1) resultUpper = 1/1 * 2/3 = 2/3
(2) resultUpper = 2/3 * someFraction = 2/3 * 2/3 = 4/9
(3)
// calculate the each value and add to the result
checkValue = ((resultUpper.getNum() / resultUpper.getDen()) / factorial(counter))
result = result + checkValue ;
(1) result = 0 + (2/3 / factorial(1)) = 2/3;
(2) result = 2/3 + (4/9 / factorial(2)) = (2/3 + (4/9 / 2)) = [2/3] + [(2/3)^2]
++counter;
}
result = result + 1;
}
int factorial(int n)
{
//return (n == 1 || n == 0) ? 1 : factorial(n - 1) * n;
if (n == 1 || n == 0) {
return 1;
}
else {
factorial(n - 1) * n;
}
}
};
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