Class XDecimal

Extension methods for decimal.

Inheritance

System.Object

XDecimal

Namespace: Galaxon.Core.Numbers

Assembly: Galaxon.Core.dll

Syntax

public static class XDecimal : object

Fields

MaxScale

The minimum scale factor (inverse decimal exponent).

Declaration

public const short MaxScale = null

Field Value

Type	Description
System.Int16

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NumExpBits

The number of bits in the exponent.

Declaration

public const byte NumExpBits = null

Field Value

Type	Description
System.Byte

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NumIntBits

The number of bits in the integer part.

Declaration

public const byte NumIntBits = null

Field Value

Type	Description
System.Byte

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Methods

Acosh(Decimal)

Inverse hyperbolic cosine.

Declaration

public static decimal Acosh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic cosine of an angle.

Returns

Type	Description
System.Decimal	The angle.

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Asinh(Decimal)

Inverse hyperbolic sine.

Declaration

public static decimal Asinh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic sine of an angle.

Returns

Type	Description
System.Decimal	The angle.

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Assemble(Byte, Byte, UInt128)

Assemble a new decimal value from bitwise parts.

Declaration

public static decimal Assemble(byte signBit, byte scaleBits, UInt128 intBits)

Parameters

Type	Name	Description
System.Byte	signBit	The sign bit (1 or 0).
System.Byte	scaleBits	The scale bits.
UInt128	intBits	The integer bits.

Returns

Type	Description
System.Decimal	The new decimal.

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Atanh(Decimal)

Inverse hyperbolic tangent.

Declaration

public static decimal Atanh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic tangent of an angle.

Returns

Type	Description
System.Decimal	The angle.

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Cosh(Decimal)

Hyperbolic cosine.

Declaration

public static decimal Cosh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic angle.

Returns

Type	Description
System.Decimal	The hyperbolic cosine of the given angle.

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Disassemble(Decimal)

Disassemble the decimal into bitwise parts.

Declaration

public static (byte signBit, byte scaleBits, UInt128 intBits) Disassemble(this decimal x)

Parameters

Type	Name	Description
System.Decimal	x

Returns

Type	Description
System.ValueTuple<System.Byte, System.Byte, UInt128>

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Exp10(Decimal)

Calculate 10 raised to a decimal power.

Declaration

public static decimal Exp10(decimal m)

Parameters

Type	Name	Description
System.Decimal	m	A decimal value.

Returns

Type	Description
System.Decimal	10^d

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Exp2(Decimal)

Calculate 2 raised to a decimal power.

Declaration

public static decimal Exp2(decimal m)

Parameters

Type	Name	Description
System.Decimal	m	A decimal value.

Returns

Type	Description
System.Decimal	2^d

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GetRandom()

Returns a random decimal.

Declaration

public static decimal GetRandom()

Returns

Type	Description
System.Decimal

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IsInteger(Decimal)

Check if a decimal value is an integer.

Declaration

public static bool IsInteger(decimal m)

Parameters

Type	Name	Description
System.Decimal	m

Returns

Type	Description
System.Boolean

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Log(Decimal)

Calculate the natural logarithm of a decimal. The algorithm is from: https://en.wikipedia.org/wiki/Natural_logarithm I found that DecimalEx.Log() hangs for very small values so I made this version. It's tested, fast, and doesn't break with the largest or smallest decimal values.

Declaration

public static decimal Log(decimal m)

Parameters

Type	Name	Description
System.Decimal	m	A decimal value.

Returns

Type	Description
System.Decimal	The natural logarithm of the given value.

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Log(Decimal, Decimal)

Logarithm of a decimal in a specified base. Log(Decimal, Decimal)

Declaration

public static decimal Log(decimal m, decimal b)

Parameters

Type	Name	Description
System.Decimal	m	The decimal value.
System.Decimal	b	The base.

Returns

Type	Description
System.Decimal	The logarithm of z in base b.

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Log10(Decimal)

Logarithm of a decimal in base 10. Log10(Decimal)

Declaration

public static decimal Log10(decimal m)

Parameters

Type	Name	Description
System.Decimal	m	The decimal value.

Returns

Type	Description
System.Decimal	The logarithm of the number in base 10.

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Log2(Decimal)

Logarithm of a decimal in base 2.

Declaration

public static decimal Log2(decimal m)

Parameters

Type	Name	Description
System.Decimal	m	The decimal value.

Returns

Type	Description
System.Decimal	The logarithm of the number in base 2.

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RoundSigFigs(Decimal, Int32)

Round off a value to a given number of significant figures.

Declaration

public static decimal RoundSigFigs(decimal m, int n)

Parameters

Type	Name	Description
System.Decimal	m	The number to round.
System.Int32	n	The number of significant figures.

Returns

Type	Description
System.Decimal	The rounded number.

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Sinh(Decimal)

Hyperbolic sine.

Declaration

public static decimal Sinh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic angle.

Returns

Type	Description
System.Decimal	The hyperbolic sine of the given angle.

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Tanh(Decimal)

Hyperbolic tangent.

Declaration

public static decimal Tanh(decimal x)

Parameters

Type	Name	Description
System.Decimal	x	The hyperbolic angle.

Returns

Type	Description
System.Decimal	The hyperbolic tangent of the given angle.

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