Math-Klasse
Stellt Konstanten und statische Methoden für trigonometrische, logarithmische und andere gebräuchliche mathematische Funktionen bereit.
Namespace: System
Assembly: mscorlib (in mscorlib.dll)
Syntax
'Declaration
Public NotInheritable Class Math
'Usage
Auf die Member einer statischen Klassen wird direkt ohne Instanz der Klasse zugegriffen.
public static class Math
public ref class Math abstract sealed
public final class Math
public final class Math
Beispiel
Im folgenden Codebeispiel werden verschiedene mathematische und trigonometrische Funktionen aus der Math-Klasse zum Berechnen der Innenwinkel eines Trapezes verwendet.
'The following class represents simple functionallity of the Trapezoid
Class MathTrapezoidSample
Private m_longBase As Double
Private m_shortBase As Double
Private m_leftLeg As Double
Private m_rightLeg As Double
Public Sub New(ByVal longbase As Double, ByVal shortbase As Double, ByVal leftLeg As Double, ByVal rightLeg As Double)
m_longBase = Math.Abs(longbase)
m_shortBase = Math.Abs(shortbase)
m_leftLeg = Math.Abs(leftLeg)
m_rightLeg = Math.Abs(rightLeg)
End Sub
Private Function GetRightSmallBase() As Double
GetRightSmallBase = (Math.Pow(m_rightLeg, 2) - Math.Pow(m_leftLeg, 2) + Math.Pow(m_longBase, 2) + Math.Pow(m_shortBase, 2) - 2 * m_shortBase * m_longBase) / (2 * (m_longBase - m_shortBase))
End Function
Public Function GetHeight() As Double
Dim x As Double = GetRightSmallBase()
GetHeight = Math.Sqrt(Math.Pow(m_rightLeg, 2) - Math.Pow(x, 2))
End Function
Public Function GetSquare() As Double
GetSquare = GetHeight() * m_longBase / 2
End Function
Public Function GetLeftBaseRadianAngle() As Double
Dim sinX As Double = GetHeight() / m_leftLeg
GetLeftBaseRadianAngle = Math.Round(Math.Asin(sinX), 2)
End Function
Public Function GetRightBaseRadianAngle() As Double
Dim x As Double = GetRightSmallBase()
Dim cosX As Double = (Math.Pow(m_rightLeg, 2) + Math.Pow(x, 2) - Math.Pow(GetHeight(), 2)) / (2 * x * m_rightLeg)
GetRightBaseRadianAngle = Math.Round(Math.Acos(cosX), 2)
End Function
Public Function GetLeftBaseDegreeAngle() As Double
Dim x As Double = GetLeftBaseRadianAngle() * 180 / Math.PI
GetLeftBaseDegreeAngle = Math.Round(x, 2)
End Function
Public Function GetRightBaseDegreeAngle() As Double
Dim x As Double = GetRightBaseRadianAngle() * 180 / Math.PI
GetRightBaseDegreeAngle = Math.Round(x, 2)
End Function
Public Shared Sub Main()
Dim trpz As MathTrapezoidSample = New MathTrapezoidSample(20, 10, 8, 6)
Console.WriteLine("The trpezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0")
Dim h As Double = trpz.GetHeight()
Console.WriteLine("Trapezoid height is: " + h.ToString())
Dim dxR As Double = trpz.GetLeftBaseRadianAngle()
Console.WriteLine("Trapezoid left base angle is: " + dxR.ToString() + " Radians")
Dim dyR As Double = trpz.GetRightBaseRadianAngle()
Console.WriteLine("Trapezoid right base angle is: " + dyR.ToString() + " Radians")
Dim dxD As Double = trpz.GetLeftBaseDegreeAngle()
Console.WriteLine("Trapezoid left base angle is: " + dxD.ToString() + " Degrees")
Dim dyD As Double = trpz.GetRightBaseDegreeAngle()
Console.WriteLine("Trapezoid left base angle is: " + dyD.ToString() + " Degrees")
End Sub
End Class
/// <summary>
/// The following class represents simple functionallity 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 trpezoid'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>
public ref class MathTrapezoidSample
{
private:
double m_longBase;
double m_shortBase;
double m_leftLeg;
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 ) );
}
double GetSquare()
{
return GetHeight() * m_longBase / 2.0;
}
double GetLeftBaseRadianAngle()
{
double sinX = GetHeight() / m_leftLeg;
return Math::Round( Math::Asin( sinX ), 2 );
}
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 );
}
double GetLeftBaseDegreeAngle()
{
double x = GetLeftBaseRadianAngle() * 180 / Math::PI;
return Math::Round( x, 2 );
}
double GetRightBaseDegreeAngle()
{
double x = GetRightBaseRadianAngle() * 180 / Math::PI;
return Math::Round( x, 2 );
}
};
int main()
{
MathTrapezoidSample^ trpz = gcnew MathTrapezoidSample( 20.0,10.0,8.0,6.0 );
Console::WriteLine( "The trpezoid'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: {0}", h.ToString() );
double dxR = trpz->GetLeftBaseRadianAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Radians", dxR.ToString() );
double dyR = trpz->GetRightBaseRadianAngle();
Console::WriteLine( "Trapezoid right base angle is: {0} Radians", dyR.ToString() );
double dxD = trpz->GetLeftBaseDegreeAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Degrees", dxD.ToString() );
double dyD = trpz->GetRightBaseDegreeAngle();
Console::WriteLine( "Trapezoid left base angle is: {0} Degrees", dyD.ToString() );
}
/// <summary>
/// The following class represents simple functionallity 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 trpezoid'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
Vererbungshierarchie
System.Object
System.Math
Threadsicherheit
Alle öffentlichen statischen (Shared in Visual Basic) Member dieses Typs sind threadsicher. Bei Instanzmembern ist die Threadsicherheit nicht gewährleistet.
Plattformen
Windows 98, Windows 2000 SP4, Windows CE, Windows Millennium Edition, Windows Mobile für Pocket PC, Windows Mobile für Smartphone, Windows Server 2003, Windows XP Media Center Edition, Windows XP Professional x64 Edition, Windows XP SP2, Windows XP Starter Edition
.NET Framework unterstützt nicht alle Versionen sämtlicher Plattformen. Eine Liste der unterstützten Versionen finden Sie unter Systemanforderungen.
Versionsinformationen
.NET Framework
Unterstützt in: 2.0, 1.1, 1.0
.NET Compact Framework
Unterstützt in: 2.0, 1.0