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Math, classe

Mise à jour : novembre 2007

Fournit des constantes et des méthodes statiques pour des fonctions trigonométriques, logarithmiques et d'autres fonctions mathématiques courantes.

Espace de noms :  System
Assembly :  mscorlib (dans mscorlib.dll)

public static class Math
public final class Math
public final class Math

L'exemple de code suivant utilise plusieurs fonctions mathématiques et trigonométriques de la classe Math pour calculer les angles internes d'un trapèze.

	/// <summary>
	/// The following class represents simple functionality of the trapezoid.
	/// </summary>
	class MathTrapezoidSample
	{
		private double m_longBase;
		private double m_shortBase;
		private double m_leftLeg;
		private double m_rightLeg;

		public MathTrapezoidSample(double longbase, double shortbase, double leftLeg, double rightLeg)
		{
			m_longBase = Math.Abs(longbase);
			m_shortBase = Math.Abs(shortbase);
			m_leftLeg = Math.Abs(leftLeg);
			m_rightLeg = Math.Abs(rightLeg);
		}

		private double GetRightSmallBase()
		{
			return (Math.Pow(m_rightLeg,2.0) - Math.Pow(m_leftLeg,2.0) + Math.Pow(m_longBase,2.0) + Math.Pow(m_shortBase,2.0) - 2* m_shortBase * m_longBase)/ (2*(m_longBase - m_shortBase));
		}

		public double GetHeight()
		{
			double x = GetRightSmallBase();
			return Math.Sqrt(Math.Pow(m_rightLeg,2.0) - Math.Pow(x,2.0));
		}

		public double GetSquare()
		{
			return GetHeight() * m_longBase / 2.0;
		}

		public double GetLeftBaseRadianAngle()
		{
			double sinX = GetHeight()/m_leftLeg;
			return Math.Round(Math.Asin(sinX),2);
		}

		public double GetRightBaseRadianAngle()
		{
			double x = GetRightSmallBase();
			double cosX = (Math.Pow(m_rightLeg,2.0) + Math.Pow(x,2.0) - Math.Pow(GetHeight(),2.0))/(2*x*m_rightLeg);
			return Math.Round(Math.Acos(cosX),2);
		}

		public double GetLeftBaseDegreeAngle()
		{
			double x = GetLeftBaseRadianAngle() * 180/ Math.PI;
			return Math.Round(x,2);
		}

		public double GetRightBaseDegreeAngle()
		{
			double x = GetRightBaseRadianAngle() * 180/ Math.PI;
			return Math.Round(x,2);
		}

		static void Main(string[] args)
		{
			MathTrapezoidSample trpz = new MathTrapezoidSample(20.0, 10.0, 8.0, 6.0);
			Console.WriteLine("The trapezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0");
			double h = trpz.GetHeight();
			Console.WriteLine("Trapezoid height is: " + h.ToString());
			double dxR = trpz.GetLeftBaseRadianAngle();
			Console.WriteLine("Trapezoid left base angle is: " + dxR.ToString() + " Radians");
			double dyR = trpz.GetRightBaseRadianAngle();
			Console.WriteLine("Trapezoid right base angle is: " + dyR.ToString() + " Radians");
			double dxD = trpz.GetLeftBaseDegreeAngle();
			Console.WriteLine("Trapezoid left base angle is: " + dxD.ToString() + " Degrees");
			double dyD = trpz.GetRightBaseDegreeAngle();
			Console.WriteLine("Trapezoid left base angle is: " + dyD.ToString() + " Degrees");
		}
	}


/// <summary>
/// The following class represents simple functionality of the trapezoid.
/// </summary>
class MathTrapezoidSample
{
    private double mLongBase;
    private double mShortBase;
    private double mLeftLeg;
    private double mRightLeg;
    public MathTrapezoidSample(double longBase, double shortBase, 
        double leftLeg, double rightLeg)
    {
        mLongBase = System.Math.Abs(longBase);
        mShortBase = System.Math.Abs(shortBase);
        mLeftLeg = System.Math.Abs(leftLeg);
        mRightLeg = System.Math.Abs(rightLeg);
    } //MathTrapezoidSample

    private double GetRightSmallBase()
    {
        return (System.Math.Pow(mRightLeg, 2.0) 
            - System.Math.Pow(mLeftLeg, 2.0) 
            + System.Math.Pow(mLongBase, 2.0) 
            + System.Math.Pow(mShortBase, 2.0) 
            - 2 * mShortBase * mLongBase) / (2 * (mLongBase - mShortBase));
    } //GetRightSmallBase

    public double GetHeight()
    {
        double x = GetRightSmallBase();
        return System.Math.Sqrt(System.Math.Pow(mRightLeg, 2.0) 
            - System.Math.Pow(x, 2.0));
    } //GetHeight

    public double GetSquare()
    {
        return GetHeight() * mLongBase / 2.0;
    } //GetSquare

    public double GetLeftBaseRadianAngle()
    {
        double sinX = GetHeight() / mLeftLeg;
        return System.Math.Round(System.Math.Asin(sinX), 2);
    } //GetLeftBaseRadianAngle

    public double GetRightBaseRadianAngle()
    {
        double x = GetRightSmallBase();
        double cosX = (System.Math.Pow(mRightLeg, 2.0) 
               + System.Math.Pow(x, 2.0) 
               - System.Math.Pow(GetHeight(), 2.0)) / (2 * x * mRightLeg);
        return System.Math.Round(System.Math.Acos(cosX), 2);
    } //GetRightBaseRadianAngle

    public double GetLeftBaseDegreeAngle()
    {
        double x = GetLeftBaseRadianAngle() * 180 / System.Math.PI;
        return System.Math.Round(x, 2);
    } //GetLeftBaseDegreeAngle

    public double GetRightBaseDegreeAngle()
    {
        double x = GetRightBaseRadianAngle() * 180 / System.Math.PI;
        return System.Math.Round(x, 2);
    } //GetRightBaseDegreeAngle

    public static void main(String[] args)
    {
        MathTrapezoidSample trpz = 
            new MathTrapezoidSample(20.0, 10.0, 8.0, 6.0);
        Console.WriteLine("The trapezoid's bases are 20.0 and 10.0,"
            + " the trapezoid's legs are 8.0 and 6.0");
        double h = trpz.GetHeight();
        Console.WriteLine("Trapezoid height is: " 
            + System.Convert.ToString(h));
        double dxR = trpz.GetLeftBaseRadianAngle();
        Console.WriteLine("Trapezoid left base angle is: " 
            + System.Convert.ToString(dxR) + " Radians");
        double dyR = trpz.GetRightBaseRadianAngle();
        Console.WriteLine("Trapezoid right base angle is: " 
            + System.Convert.ToString(dyR) + " Radians");
        double dxD = trpz.GetLeftBaseDegreeAngle();
        Console.WriteLine("Trapezoid left base angle is: " 
            + System.Convert.ToString(dxD) + " Degrees");
        double dyD = trpz.GetRightBaseDegreeAngle();
        Console.WriteLine("Trapezoid left base angle is: " 
            + System.Convert.ToString(dyD) + " Degrees");
    } //main
} //MathTrapezoidSample


Tous les membres static (Shared en Visual Basic) publics de ce type sont thread-safe. Il n'est pas garanti que les membres d'instance soient thread-safe.

Windows Vista, Windows XP SP2, Windows XP Media Center Edition, Windows XP Professionnel Édition x64, Windows XP Starter Edition, Windows Server 2003, Windows Server 2000 SP4, Windows Millennium Edition, Windows 98, Windows CE, Windows Mobile pour Smartphone, Windows Mobile pour Pocket PC, Xbox 360

Le .NET Framework et le .NET Compact Framework ne prennent pas en charge toutes les versions de chaque plateforme. Pour obtenir la liste des versions prises en charge, consultez Configuration requise du .NET Framework.

.NET Framework

Pris en charge dans : 3.5, 3.0, 2.0, 1.1, 1.0

.NET Compact Framework

Pris en charge dans : 3.5, 2.0, 1.0

XNA Framework

Pris en charge dans : 2.0, 1.0

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