static void Main()
{
Console.WriteLine("You are runnning the Mathematics example.");
Console.WriteLine("==========================================");
Console.WriteLine();
Random random = new Random();
#region Basic Operations
Console.WriteLine(" Basics----------------------------------------------");
Console.WriteLine();
// Variables
Fraction <short> clampA = new Fraction <short>(-123, 9); // -123 / 9
Fraction <short> clampB = new Fraction <short>(7, 12); // 7 / 12
Fraction <short> clampC = new Fraction <short>(14, 15); // 14 / 15
double[] values = new double[4];
Action <Action <double> > valueStepper = values.ToStepper();
values.Format(x => random.NextDouble());
// Examples
double negation = Negation(7);
Console.WriteLine(" Negate(7): " + negation);
decimal addition = Addition(7m, 7m);
Console.WriteLine(" Add(7, 7): " + addition);
double summation = Σ(valueStepper);
Console.WriteLine(" Σ (" + string.Join(", ", values.Select(x => Format(x))) + ") = " + summation);
float subtraction = Subtraction(14f, 7f);
Console.WriteLine(" Subtract(14, 7): " + subtraction);
long multiplication = Multiplication(7L, 7L);
Console.WriteLine(" Multiply(7, 7): " + multiplication);
double product = Π(valueStepper);
Console.WriteLine(" Π (" + string.Join(", ", values.Select(x => Format(x))) + ") = " + product);
short division = Division((short)14, (short)7);
Console.WriteLine(" Divide(14, 7): " + division);
double absoluteValue = AbsoluteValue(-7d);
Console.WriteLine(" AbsoluteValue(-7): " + absoluteValue);
Fraction <short> clamp = Clamp(clampA, clampB, clampC);
Console.WriteLine(" Clamp(" + clampA + ", " + clampB + ", " + clampC + "): " + clamp);
int maximum = MaximumValue <int>(compare: null, 1, 2, 3);
Console.WriteLine(" MaximumValue(compare: null, 1, 2, 3): " + maximum);
int minimum = Minimum(1, 2, 3);
Console.WriteLine(" Minimum(1, 2, 3): " + minimum);
bool lessThan = LessThan((Fraction <int>) 1, (Fraction <int>) 2);
Console.WriteLine(" LessThan(1, 2): " + lessThan);
bool greaterThan = GreaterThan((Fraction <int>) 1, (Fraction <int>) 2);
Console.WriteLine(" GreaterThan(1, 2): " + greaterThan);
CompareResult compare = Compare((Fraction <short>) 7, (Fraction <short>) 7);
Console.WriteLine(" Compare(7, 7): " + compare);
bool equality = Equate(7, 6);
Console.WriteLine(" Equate(7, 6): " + equality);
bool equalsLeniency = EqualToLeniency(2, 1, 1);
Console.WriteLine(" EqualsLeniency(2, 1, 1): " + equalsLeniency);
Console.WriteLine();
#endregion
#region More Numeric Mathematics
Console.WriteLine(" More Numeric Mathematics----------------------------");
Console.WriteLine();
// some random ints for the examples
int random1 = random.Next(1, 100000);
int random2 = random.Next(1, 1000);
int random3 = random.Next(1, 1000);
int random4 = random.Next(1, 1000);
int random5 = random.Next(1, 1000);
int random6 = random.Next(1, 1000);
int random7 = random.Next(6, 10);
int random8 = random.Next(1, 100000);
int[] randomInts1 = new int[3];
randomInts1.Format(x => random.Next(1, 500) * 2);
Action <Action <int> > randomInts1Stepper = randomInts1.ToStepper();
int[] randomInts2 = new int[3];
randomInts2.Format(x => random.Next(1, 500) * 2);
Action <Action <int> > randomInts2Stepper = randomInts2.ToStepper();
bool isPrime = IsPrime(random1);
Console.WriteLine(" IsPrime(" + random1 + "): " + isPrime);
bool isNegative = IsNegative(random2);
Console.WriteLine(" IsNegative(" + random2 + "): " + isNegative);
bool isNonNegative = IsNonNegative(random3);
Console.WriteLine(" IsNonNegative(" + random3 + "): " + isNonNegative);
bool isPositive = IsPositive(random4);
Console.WriteLine(" IsPositive(" + random4 + "): " + isPositive);
bool isOdd = IsOdd(random5);
Console.WriteLine(" IsOdd(" + random5 + "): " + isOdd);
bool isEven = IsEven(random6);
Console.WriteLine(" IsEven(" + random6 + "): " + isEven);
int greatestCommonFactor = GreatestCommonFactor(randomInts1Stepper);
Console.WriteLine(" GCF(" + string.Join(", ", randomInts1) + "): " + greatestCommonFactor);
int leastCommonMultiple = LeastCommonMultiple(randomInts2Stepper);
Console.WriteLine(" LCM(" + string.Join(", ", randomInts2) + "): " + leastCommonMultiple);
int factorial = Factorial(random7);
Console.WriteLine(" " + random7 + "!: " + factorial);
int combinations = Combinations(7, Ɐ(3, 4));
Console.WriteLine(" 7! / (3! * 4!): " + combinations);
int binomialCoefficient = BinomialCoefficient(7, 2);
Console.WriteLine(" 7 choose 2: " + binomialCoefficient);
Console.Write(" Prime Factors(" + random8 + "): ");
FactorPrimes(random8, prime => Console.Write(prime + " "));
Console.WriteLine();
Console.WriteLine();
#endregion
#region Trigonometry
Console.WriteLine(" Trigonometry -----------------------------------------");
Console.WriteLine();
double randomDouble = random.NextDouble();
Angle <double> randomAngle = new Angle <double>(randomDouble, Angle.Units.Radians);
double sineTaylorSeries = SineTaylorSeries(randomAngle);
Console.WriteLine(" SinTaylorSeries(" + randomAngle + ") = " + Format(sineTaylorSeries));
double cosineTaylorSeries = CosineTaylorSeries(randomAngle);
Console.WriteLine(" CosinTaylorSeries(" + randomAngle + ") = " + Format(cosineTaylorSeries));
Console.WriteLine();
#endregion
#region Statistics
Console.WriteLine(" Statistics-----------------------------------------");
Console.WriteLine();
// Data Generation
double mode_temp = random.NextDouble() * 100;
double[] dataArray = new double[random.Next(5, 7)];
dataArray.Format(x => random.NextDouble() * 100);
// Lets copy a value in the array to ensure there is at least one
// duplicate (so the "Mode" example will has something to show)
dataArray[^ 1] = dataArray[0];
/// <summary>
/// Compara duas fracções.
/// </summary>
/// <param name="x">A primeira fracção a ser comparada.</param>
/// <param name="y">A segunda fracção a ser comparada.</param>
/// <returns>
/// O valor 1 caso a primeira seja superior à segunda, 0 caso sejam iguais e -1 caso contrário.
/// </returns>
public int Compare(Fraction <CoeffType> x, Fraction <CoeffType> y)
{
return(this.fractionComparer.Compare(x, y));
}