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Math Class

Provides constants and static methods for trigonometric, logarithmic, and other common mathematical functions.

Namespace:  System
Assembly:  mscorlib (in mscorlib.dll)

'Declaration
Public NotInheritable Class Math

The Math type exposes the following members.

  NameDescription
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Decimal)Returns the absolute value of a Decimal number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Double)Returns the absolute value of a double-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Int16)Returns the absolute value of a 16-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Int32)Returns the absolute value of a 32-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Int64)Returns the absolute value of a 64-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(SByte)Returns the absolute value of an 8-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Abs(Single)Returns the absolute value of a single-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360AcosReturns the angle whose cosine is the specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360AsinReturns the angle whose sine is the specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360AtanReturns the angle whose tangent is the specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Atan2Returns the angle whose tangent is the quotient of two specified numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360CeilingReturns the smallest integral value greater than or equal to the specified double-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360CosReturns the cosine of the specified angle.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360CoshReturns the hyperbolic cosine of the specified angle.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360ExpReturns e raised to the specified power.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360FloorReturns the largest integer less than or equal to the specified double-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360IEEERemainderReturns the remainder resulting from the division of a specified number by another specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Log(Double)Returns the natural (base e) logarithm of a specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Log(Double, Double)Returns the logarithm of a specified number in a specified base.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Log10Returns the base 10 logarithm of a specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Byte, Byte)Returns the larger of two 8-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Decimal, Decimal)Returns the larger of two decimal numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Double, Double)Returns the larger of two double-precision floating-point numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Int16, Int16)Returns the larger of two 16-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Int32, Int32)Returns the larger of two 32-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Int64, Int64)Returns the larger of two 64-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(SByte, SByte)Returns the larger of two 8-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(Single, Single)Returns the larger of two single-precision floating-point numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(UInt16, UInt16)Returns the larger of two 16-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(UInt32, UInt32)Returns the larger of two 32-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Max(UInt64, UInt64)Returns the larger of two 64-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Byte, Byte)Returns the smaller of two 8-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Decimal, Decimal)Returns the smaller of two decimal numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Double, Double)Returns the smaller of two double-precision floating-point numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Int16, Int16)Returns the smaller of two 16-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Int32, Int32)Returns the smaller of two 32-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Int64, Int64)Returns the smaller of two 64-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(SByte, SByte)Returns the smaller of two 8-bit signed integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(Single, Single)Returns the smaller of two single-precision floating-point numbers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(UInt16, UInt16)Returns the smaller of two 16-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(UInt32, UInt32)Returns the smaller of two 32-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Min(UInt64, UInt64)Returns the smaller of two 64-bit unsigned integers.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360PowReturns a specified number raised to the specified power.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Round(Decimal)Rounds a decimal value to the nearest integral value.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Round(Double)Rounds a double-precision floating-point value to the nearest integral value.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Round(Decimal, Int32)Rounds a decimal value to a specified number of fractional digits.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Round(Double, Int32)Rounds a double-precision floating-point value to a specified number of fractional digits.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Decimal)Returns a value indicating the sign of a decimal number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Double)Returns a value indicating the sign of a double-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Int16)Returns a value indicating the sign of a 16-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Int32)Returns a value indicating the sign of a 32-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Int64)Returns a value indicating the sign of a 64-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(SByte)Returns a value indicating the sign of an 8-bit signed integer.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360Sign(Single)Returns a value indicating the sign of a single-precision floating-point number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360SinReturns the sine of the specified angle.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360SinhReturns the hyperbolic sine of the specified angle.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360SqrtReturns the square root of a specified number.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360TanReturns the tangent of the specified angle.
Public methodStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360TanhReturns the hyperbolic tangent of the specified angle.
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  NameDescription
Public fieldStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360ERepresents the natural logarithmic base, specified by the constant, e.
Public fieldStatic memberSupported by Silverlight for Windows PhoneSupported by Xbox 360PIRepresents the ratio of the circumference of a circle to its diameter, specified by the constant, π.
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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 Example

   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 Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
      Dim trpz As Example = New Example(20, 10, 8, 6)
      outputBlock.Text += String.Format("The trapezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0") & vbCrLf
      Dim h As Double = trpz.GetHeight()
      outputBlock.Text &= "Trapezoid height is: " + h.ToString() & vbCrLf
      Dim dxR As Double = trpz.GetLeftBaseRadianAngle()
      outputBlock.Text &= "Trapezoid left base angle is: " + dxR.ToString() + " Radians" & vbCrLf
      Dim dyR As Double = trpz.GetRightBaseRadianAngle()
      outputBlock.Text &= "Trapezoid right base angle is: " + dyR.ToString() + " Radians" & vbCrLf
      Dim dxD As Double = trpz.GetLeftBaseDegreeAngle()
      outputBlock.Text &= "Trapezoid left base angle is: " + dxD.ToString() + " Degrees" & vbCrLf
      Dim dyD As Double = trpz.GetRightBaseDegreeAngle()
      outputBlock.Text &= "Trapezoid left base angle is: " + dyD.ToString() + " Degrees" & vbCrLf
   End Sub

End Class



Silverlight

Supported in: 5, 4, 3

Silverlight for Windows Phone

Supported in: Windows Phone OS 7.1, Windows Phone OS 7.0

XNA Framework

Supported in: Xbox 360, Windows Phone OS 7.0

For a list of the operating systems and browsers that are supported by Silverlight, see Supported Operating Systems and Browsers.

Any public static (Shared in Visual Basic) members of this type are thread safe. Any instance members are not guaranteed to be thread safe.

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