public RationalNumber Multiply(RationalNumber r)
{
RationalNumber rnl, rnl1, rnl2;
Int64 num, denom;
reduce();
r.reduce();
rnl1 = new RationalNumber(Numerator, r.Denominator);
rnl1.reduce();
rnl2 = new RationalNumber(r.Numerator, Denominator);
rnl2.reduce();
num = rnl1.Numerator * rnl2.Numerator;
denom = rnl1.Denominator * rnl2.Denominator;
rnl = new RationalNumber(num, denom);
return(rnl);
}
/// <summary>
/// Calculates common divisor for rational numbers numerator and denominator
/// </summary>
/// <param name="number">Rational Number</param>
/// <seealso cref="RationalNumber"/>
/// <returns>Greatest common divisor of Numerator and Denominator</returns>
public static int GetGreatestCommonDivisor(this RationalNumber number)
{
int number1 = Math.Abs(number.Numerator);
int number2 = Math.Abs(number.Denominator);
while (number1 != 0 && number2 != 0)
{
if (number1 > number2)
{
number1 %= number2;
}
else
{
number2 %= number1;
}
}
int gcd = number1 == 0 ? number2 : number1;
return(gcd);
}
static void Main(string[] args)
{
List <RationalNumber> allNumbers = new List <RationalNumber>();
allNumbers.Add(new RationalNumber(7, 5));
allNumbers.Add(new RationalNumber(1, 4));
allNumbers.Add(new RationalNumber(2, 7));
allNumbers.Add(new RationalNumber(3, 5));
allNumbers.Sort();
RationalNumber sum = new RationalNumber(0, 1);
foreach (var number in allNumbers)
{
sum += number;
Console.WriteLine(number);
}
Console.WriteLine("Sum = " + sum);
Console.ReadLine();
}
public RationalNumber Add(RationalNumber r)
{
Int64 k = 0;
Int64 denom = 0;
Int64 num = 0;
RationalNumber rn1;
reduce();
r.reduce();
rn1 = new RationalNumber(Denominator, r.Denominator);
rn1.reduce();
k = rn1.Denominator;
denom = Denominator * k;
num = Numerator * k + r.Numerator * (denom / r.Denominator);
rn1 = new RationalNumber(num, denom);
rn1.reduce();
return(rn1);
}
static void Main()
{
Console.WriteLine("Welcome to the fraction calculator!.\n");
Console.WriteLine("To create a new Rational Number do as follows => IrationalNumber fraction = new RationalNumber(a , b ).\n");
Console.WriteLine("Where a is any positive or negative integer and b != 0.\n");
Console.WriteLine("Parameters can be: - A single integer to express rational numbers in the form a/1\n");
Console.WriteLine("Parameters can be: - Two integers to express rational numbers in the form a/b\n");
Console.WriteLine("Parameters can be: - Strings in the form \"a\" \"a\\b\" or \"a b\" \n");
Console.WriteLine("You can perform arithmetic operations on IrationalNumber objects using the inline operators + - * /\n");
Console.WriteLine("For example:\n");
Console.WriteLine("IrationalNumber fractionA = new RationalNumber(a1 , b1 ).\n");
Console.WriteLine("IrationalNumber fractionB = new RationalNumber(a2 , b2 ).\n");
Console.WriteLine("IrationalNumber fractionC = fractionA + fractionB\n");
Console.WriteLine("Alternatively you can do obj1.Add(obj2), obj1.Subtract(obj2), obj1.Multiply(obj2), obj1.Divide(obj2)\n");
Console.WriteLine("You can also do exponentiation of a real number in two ways, 1) integer.ExpReal(obj1) or 2) ExpReal(this int intNumber, RationalNumber r).\n");
Console.WriteLine("You can also exponentiate a rational number obj1.ExpRational(integer)\n");
IRationalNumber fractionA = new RationalNumber(1, 2);
IRationalNumber fractionB = new RationalNumber("2");
IRationalNumber fractionC = new RationalNumber("2/5");
IRationalNumber fractionD = new RationalNumber("2 6");
IRationalNumber fractionF = fractionA + fractionB;
Console.WriteLine("*************");
Console.WriteLine(IntNumberExtension.ShowMultiplication(fractionA, fractionB));
Console.WriteLine("*************");
Console.WriteLine(IntNumberExtension.ShowMultiplication(fractionA, fractionB));
Console.WriteLine("*************");
Console.WriteLine(IntNumberExtension.ShowDivision(fractionA, fractionB));
Console.WriteLine("*************");
Console.WriteLine(IntNumberExtension.ShowAddition(fractionA, fractionB));
Console.WriteLine("*************");
Console.WriteLine(IntNumberExtension.ShowSubtraction(fractionA, fractionB));
Console.WriteLine("*************");
Console.WriteLine($"Thanks to the operator overload we can also do this {fractionA} + {fractionB} = {fractionF}");
Console.WriteLine("*************");
}
public static double Expreal(this int realNumber, RationalNumber r)
{
return(Math.Pow(realNumber, (double)r.Numerator / r.Denominator));
}
// We have moved the static class defnition outside RationalNumber class
/// <summary>
/// Static overload method of the ExpReal method.
/// </summary>
/// <param name="intNumber">Integer</param>
/// <param name="r">RationalNumber</param>
/// <returnsDouble></returns>
public static double ExpReal(this int intNumber, RationalNumber r)
{ // Static overload method of the ExpReal method.
return(r.ExpReal(intNumber));
}
// Gets exponentiation real number to the rational number power public static double ExpReal(this double doubleNumber, RationalNumber r) => r.ExpRealToRational(doubleNumber);
// Gets exponentiation int number to the rational number power public static double ExpReal(this int intNumber, RationalNumber r) => r.ExpRealToRational(intNumber);
static void Main()
{
IRationalNumber r = new RationalNumber(3, 5);
Console.WriteLine($"This is the rational number: {r}");
}
/// <summary>
/// Raises this real number to a rational number <paramref name="r"/>.
/// </summary>
/// <param name="intNumber">A real number.</param>
/// <param name="r">A rational number.</param>
/// <returns>Return the result of <paramref name="intNumber"/> raised to <paramref name="r"/>.</returns>
public static double ExpReal(this int intNumber, RationalNumber r)
{
return(r.ExpReal(intNumber));
}
static void RationalNumberCalculator()
{
Int64 Numerator = 0;
Int64 Denominator = 0;
Console.WriteLine("Enter Your Choice");
Console.WriteLine("1 to reduce Rational number into it's lowest terms");
Console.WriteLine("2 to Add Two Rational numbers");
Console.WriteLine("3 to Subtract Two Rational numbers");
Console.WriteLine("4 to Multiply Two Rational numbers");
Console.WriteLine("5 to Divide a Rational number with another Rational number");
Console.WriteLine("6 to check Equality of Two Rational numbers");
Console.WriteLine("7 to Exit");
int choice = Convert.ToInt16(Console.ReadLine().Trim());
switch (choice)
{
case 1: //reduce
Console.WriteLine("Enter a Rational number to reduce to it's lowest terms");
Console.WriteLine("Enter Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber rn = new RationalNumber(Numerator, Denominator);
rn.reduce();
Console.WriteLine("The Rational number in lowest terms is : " + rn);
Console.ReadKey();
break;
case 2: //add
Console.WriteLine("Enter a Two Rational numbers to add");
Console.WriteLine("Enter a First Rational number");
Console.WriteLine("Enter 1st RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 1st RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber addrn1 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("Enter a Second Rational number");
Console.WriteLine("Enter 2nd RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 2nd RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber addrn2 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("The Result of Addition is :" + addrn1.Add(addrn2));
RationalNumberCalculator();
break;
case 3: //subtraction
Console.WriteLine("Enter Two Rational numbers to Subtract");
Console.WriteLine("Enter a First Rational number");
Console.WriteLine("Enter 1st RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 1st RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber subrn1 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("Enter a Second Rational number");
Console.WriteLine("Enter 2nd RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 2nd RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber subrn2 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("The Result of Subtraction is :" + subrn1.Sub(subrn2));
RationalNumberCalculator();
break;
case 4: //multiplication
Console.WriteLine("Enter Two Rational numbers to Multiply");
Console.WriteLine("Enter a First Rational number");
Console.WriteLine("Enter 1st RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 1st RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber mulrn1 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("Enter a Second Rational number");
Console.WriteLine("Enter 2nd RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 2nd RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber mulrn2 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("The Result of Multiplication is :" + mulrn1.Multiply(mulrn2));
RationalNumberCalculator();
break;
case 5: //divide
Console.WriteLine("Enter Two Rational numbers to Divide");
Console.WriteLine("Enter a First Rational number");
Console.WriteLine("Enter 1st RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 1st RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber dividern1 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("Enter a Second Rational number");
Console.WriteLine("Enter 2nd RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 2nd RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber dividern2 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("The Result of Division is :" + dividern1.Divide(dividern2));
RationalNumberCalculator();
break;
case 6: //exit
Console.WriteLine("Enter Two Rational numbers to check Equality.");
Console.WriteLine("Enter a First Rational number");
Console.WriteLine("Enter 1st RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 1st RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber eqrn1 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("Enter a Second Rational number");
Console.WriteLine("Enter 2nd RN Numerator:");
Numerator = Convert.ToInt64(Console.ReadLine().Trim());
Console.WriteLine("Enter 2nd RN Denominator:");
Denominator = Convert.ToInt64(Console.ReadLine().Trim());
RationalNumber eqrn2 = new RationalNumber(Numerator, Denominator);
Console.WriteLine("The Result of Equality is :" + eqrn1.Equal(eqrn2));
RationalNumberCalculator();
break;
case 7: //exit
Console.WriteLine("exit");
break;
default: //default
Console.WriteLine("Choose any one of the above options.");
RationalNumberCalculator();
break;
}
}
public IRationalNumber Subtract(IRationalNumber number)
{
RationalNumber r2 = (RationalNumber)number;
return(new RationalNumber((this.Numerator * r2.Denominator - r2.Numerator * this.Denominator), (this.Denominator * r2.Denominator)).Reduce());
}
public static double ExpReal(this int intNumber, RationalNumber r)
{
return(Math.Pow(Math.Pow(intNumber, r.Numerator), 1.0 / r.Denominator));
}
public IRationalNumber Multiply(IRationalNumber number)
{
RationalNumber r2 = (RationalNumber)number;
return(new RationalNumber((this.Numerator * r2.Numerator), (this.Denominator * r2.Denominator)).Reduce());
}
