Math Class

# Math Class

.NET Framework (current version)

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

To browse the .NET Framework source code for this type, see the Reference Source.

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

System.Object
System.Math

## Syntax

```public static class Math
```

## Methods

NameDescription
Abs(Decimal)

Returns the absolute value of a Decimal number.

Abs(Double)

Returns the absolute value of a double-precision floating-point number.

Abs(Int16)

Returns the absolute value of a 16-bit signed integer.

Abs(Int32)

Returns the absolute value of a 32-bit signed integer.

Abs(Int64)

Returns the absolute value of a 64-bit signed integer.

Abs(SByte)

Returns the absolute value of an 8-bit signed integer.

Abs(Single)

Returns the absolute value of a single-precision floating-point number.

Acos(Double)

Returns the angle whose cosine is the specified number.

Asin(Double)

Returns the angle whose sine is the specified number.

Atan(Double)

Returns the angle whose tangent is the specified number.

Atan2(Double, Double)

Returns the angle whose tangent is the quotient of two specified numbers.

BigMul(Int32, Int32)

Produces the full product of two 32-bit numbers.

Ceiling(Decimal)

Returns the smallest integral value that is greater than or equal to the specified decimal number.

Ceiling(Double)

Returns the smallest integral value that is greater than or equal to the specified double-precision floating-point number.

Cos(Double)

Returns the cosine of the specified angle.

Cosh(Double)

Returns the hyperbolic cosine of the specified angle.

DivRem(Int32, Int32, Int32)

Calculates the quotient of two 32-bit signed integers and also returns the remainder in an output parameter.

DivRem(Int64, Int64, Int64)

Calculates the quotient of two 64-bit signed integers and also returns the remainder in an output parameter.

Exp(Double)

Returns e raised to the specified power.

Floor(Decimal)

Returns the largest integer less than or equal to the specified decimal number.

Floor(Double)

Returns the largest integer less than or equal to the specified double-precision floating-point number.

IEEERemainder(Double, Double)

Returns the remainder resulting from the division of a specified number by another specified number.

Log(Double)

Returns the natural (base e) logarithm of a specified number.

Log(Double, Double)

Returns the logarithm of a specified number in a specified base.

Log10(Double)

Returns the base 10 logarithm of a specified number.

Max(Byte, Byte)

Returns the larger of two 8-bit unsigned integers.

Max(Decimal, Decimal)

Returns the larger of two decimal numbers.

Max(Double, Double)

Returns the larger of two double-precision floating-point numbers.

Max(Int16, Int16)

Returns the larger of two 16-bit signed integers.

Max(Int32, Int32)

Returns the larger of two 32-bit signed integers.

Max(Int64, Int64)

Returns the larger of two 64-bit signed integers.

Max(SByte, SByte)

Returns the larger of two 8-bit signed integers.

Max(Single, Single)

Returns the larger of two single-precision floating-point numbers.

Max(UInt16, UInt16)

Returns the larger of two 16-bit unsigned integers.

Max(UInt32, UInt32)

Returns the larger of two 32-bit unsigned integers.

Max(UInt64, UInt64)

Returns the larger of two 64-bit unsigned integers.

Min(Byte, Byte)

Returns the smaller of two 8-bit unsigned integers.

Min(Decimal, Decimal)

Returns the smaller of two decimal numbers.

Min(Double, Double)

Returns the smaller of two double-precision floating-point numbers.

Min(Int16, Int16)

Returns the smaller of two 16-bit signed integers.

Min(Int32, Int32)

Returns the smaller of two 32-bit signed integers.

Min(Int64, Int64)

Returns the smaller of two 64-bit signed integers.

Min(SByte, SByte)

Returns the smaller of two 8-bit signed integers.

Min(Single, Single)

Returns the smaller of two single-precision floating-point numbers.

Min(UInt16, UInt16)

Returns the smaller of two 16-bit unsigned integers.

Min(UInt32, UInt32)

Returns the smaller of two 32-bit unsigned integers.

Min(UInt64, UInt64)

Returns the smaller of two 64-bit unsigned integers.

Pow(Double, Double)

Returns a specified number raised to the specified power.

Round(Decimal)

Rounds a decimal value to the nearest integral value.

Round(Decimal, Int32)

Rounds a decimal value to a specified number of fractional digits.

Round(Decimal, Int32, MidpointRounding)

Rounds a decimal value to a specified number of fractional digits. A parameter specifies how to round the value if it is midway between two numbers.

Round(Decimal, MidpointRounding)

Rounds a decimal value to the nearest integer. A parameter specifies how to round the value if it is midway between two numbers.

Round(Double)

Rounds a double-precision floating-point value to the nearest integral value.

Round(Double, Int32)

Rounds a double-precision floating-point value to a specified number of fractional digits.

Round(Double, Int32, MidpointRounding)

Rounds a double-precision floating-point value to a specified number of fractional digits. A parameter specifies how to round the value if it is midway between two numbers.

Round(Double, MidpointRounding)

Rounds a double-precision floating-point value to the nearest integer. A parameter specifies how to round the value if it is midway between two numbers.

Sign(Decimal)

Returns a value indicating the sign of a decimal number.

Sign(Double)

Returns a value indicating the sign of a double-precision floating-point number.

Sign(Int16)

Returns a value indicating the sign of a 16-bit signed integer.

Sign(Int32)

Returns a value indicating the sign of a 32-bit signed integer.

Sign(Int64)

Returns a value indicating the sign of a 64-bit signed integer.

Sign(SByte)

Returns a value indicating the sign of an 8-bit signed integer.

Sign(Single)

Returns a value indicating the sign of a single-precision floating-point number.

Sin(Double)

Returns the sine of the specified angle.

Sinh(Double)

Returns the hyperbolic sine of the specified angle.

Sqrt(Double)

Returns the square root of a specified number.

Tan(Double)

Returns the tangent of the specified angle.

Tanh(Double)

Returns the hyperbolic tangent of the specified angle.

Truncate(Decimal)

Calculates the integral part of a specified decimal number.

Truncate(Double)

Calculates the integral part of a specified double-precision floating-point number.

## Fields

NameDescription
E

Represents the natural logarithmic base, specified by the constant, e.

PI

Represents the ratio of the circumference of a circle to its diameter, specified by the constant, π.

## Remarks

Note

To view the .NET Framework source code for this type, see the Reference Source. You can browse through the source code online, download the reference for offline viewing, and step through the sources (including patches and updates) during debugging; see instructions.

## Examples

The following example uses several mathematical and trigonometric functions from the Math class to calculate the inner angles of a trapezoid.

```/// <summary>
/// The following class represents simple functionality of the trapezoid.
/// </summary>
using System;

namespace MathClassCS
{
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;
}

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

{
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());
Console.WriteLine("Trapezoid left base angle is: " + dxR.ToString() + " Radians");
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");
}
}
}
```

## Version Information

Universal Windows Platform
Available since 4.5
.NET Framework
Available since 1.1
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 2.0
Windows Phone Silverlight
Available since 7.0
Windows Phone
Available since 8.1