Provides constants and static methods for trigonometric, logarithmic, and other common mathematical functions.
Namespace:
System
Assembly:
mscorlib (in mscorlib.dll)
Visual Basic (Declaration)
Public NotInheritable Class Math
You do not need to declare an instance of a static class in order to access its members.
public ref class Math abstract sealed
The following code sample uses several mathematical and trigonometric functions from the Math class to calculate the inner angles of a trapezoid.
'The following class represents simple functionality 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 trapezoid'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 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>
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 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: {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() );
}
System..::.Object
System..::.Math
Any public static (Shared in Visual Basic) members of this type are thread safe. Any instance members are not guaranteed to be thread safe.
Windows 7, Windows Vista, Windows XP SP2, Windows XP Media Center Edition, Windows XP Professional x64 Edition, Windows XP Starter Edition, Windows Server 2008 R2, Windows Server 2008, Windows Server 2003, Windows Server 2000 SP4, Windows Millennium Edition, Windows 98, Windows CE, Windows Mobile for Smartphone, Windows Mobile for Pocket PC, Xbox 360, Zune
The .NET Framework and .NET Compact Framework do not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.
.NET Framework
Supported in: 3.5, 3.0, 2.0, 1.1, 1.0
.NET Compact Framework
Supported in: 3.5, 2.0, 1.0
XNA Framework
Supported in: 3.0, 2.0, 1.0
Reference