Monkeybread Xojo plugin - BigNumberMBS shared methods

Platforms to show: All Mac Windows Linux Cross-Platform

BigNumberMBS.Abs(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Absolute value of x.

Example

Var c As New BigNumberMBS(-3)
Var d As BigNumberMBS = BigNumberMBS.Abs(c)
Var e As BigNumberMBS = c.Abs

MsgBox d.StringValue+EndOfLine+e.StringValue // shows 3

See also:

Abs as BigNumberMBS

BigNumberMBS.ACos(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Arc Cosine.

Example

Var c As New BigNumberMBS(0.5)
Var d As BigNumberMBS = BigNumberMBS.ACos(c)

Var x As Double = ACos(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

we're using the formula: acos(x) = pi/2 - asin(x)

BigNumberMBS.ACosh(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Inverse hyperbolic cosine.

Example

Var c As New BigNumberMBS(2.0)
Var d As BigNumberMBS = BigNumberMBS.ACosh(c)

// ACosHMBS is in MBS Xojo Util Plugin
Var x As Double = ACosHMBS(2.0)

MsgBox d.StringValue+EndOfLine+Str(x)

acosh(x) = ln( x + sqrt(x^2 - 1) ) x in <1, infinity)

BigNumberMBS.ACot(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Arc Cotangent.

we're using the formula: actan(x) = pi/2 - atan(x)

BigNumberMBS.ACoth(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates inverse hyperbolic cotangent.

acoth(x) = 0.5 * ln( (x+1) / (x-1) ) x in (-infinity, -1) or (1, infinity)

BigNumberMBS.ASin(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Arc Sine.

Example

Var c As New BigNumberMBS(1.0)
Var d As BigNumberMBS = BigNumberMBS.ASin(c)

Var x As Double = ASin(1.0)

MsgBox d.StringValue+EndOfLine+Str(x)

Range is from -1 to 1.

BigNumberMBS.ASinh(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Inverse hyperbolic sine.

Example

Var c As New BigNumberMBS(0.5)
Var d As BigNumberMBS = BigNumberMBS.ASinH(c)

// ASinHMBS is in MBS Xojo Util Plugin
Var x As Double = ASinHMBS(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

asinh(x) = ln( x + sqrt(x^2 + 1) )

BigNumberMBS.ATan(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Arc Tangent.

Example

Var c As New BigNumberMBS(0.5)
Var d As BigNumberMBS = BigNumberMBS.ATan(c)

Var x As Double = ATan(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

BigNumberMBS.ATanh(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates inverse hyperbolic tangent.

Example

Var c As New BigNumberMBS(0.5)
Var d As BigNumberMBS = BigNumberMBS.ATanh(c)

// ATanhMBS is in MBS Xojo Util Plugin
Var x As Double = ATanhMBS(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

atanh(x) = 0.5 * ln( (1+x) / (1-x) ) x in (-1, 1)

BigNumberMBS.Cos(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the cosine value.

Example

Var c As New BigNumberMBS(1.0)
Var d As BigNumberMBS = BigNumberMBS.Cos(c)

Var x As Double = Cos(1.0)

MsgBox d.StringValue+EndOfLine+Str(x)

We're using the formula cos(x) = sin(x + PI/2).

BigNumberMBS.Cosh(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Hyperbolic Cosine.

Example

Var c As New BigNumberMBS(0.5)
Var d As BigNumberMBS = BigNumberMBS.CosH(c)

// CosHMBS is in MBS Xojo Util Plugin
Var x As Double = CosHMBS(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

We're using the formula cosh(x)= ( e^x + e^(-x) ) / 2.

BigNumberMBS.Cot(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Cotangent.

We're using the formula tan(x) = cos(x) / sin(x).

BigNumberMBS.Coth(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates the Hyperbolic Cotangent.

We're using the formula coth(x)= ( e^x + e^(-x) ) / ( e^x - e^(-x) )

BigNumberMBS.DegToDeg(d as BigNumberMBS, m as BigNumberMBS, s as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees in the long format into one value.

long format: (degrees, minutes, seconds)
minutes and seconds must be greater than or equal zero

result:
if d>=0 : result= d + ((s/60)+m)/60
if d<0 : result= d - ((s/60)+m)/60

((s/60)+m)/60 = (s+60*m)/3600 (second version is faster because there's only one division)

for example:
DegToDeg(10, 30, 0) = 10.5
DegToDeg(10, 24, 35.6)=10.4098(8)

BigNumberMBS.DegToGrad(d as BigNumberMBS, m as BigNumberMBS, s as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees in the long format to gradians.

See also:

DegToGrad(value as BigNumberMBS) as BigNumberMBS

BigNumberMBS.DegToGrad(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees to gradians.

it returns: x * 200 / 180

See also:

DegToGrad(d as BigNumberMBS, m as BigNumberMBS, s as BigNumberMBS) as BigNumberMBS

BigNumberMBS.DegToRad(d as BigNumberMBS, m as BigNumberMBS, s as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees in the long format to radians.

See also:

DegToRad(value as BigNumberMBS) as BigNumberMBS

BigNumberMBS.DegToRad(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees to radians.

It returns: x * pi / 180

See also:

DegToRad(d as BigNumberMBS, m as BigNumberMBS, s as BigNumberMBS) as BigNumberMBS

BigNumberMBS.E as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value zero.

Example

Var b as BigNumberMBS = BigNumberMBS.e
MsgBox b.StringValue

BigNumberMBS.Exp(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates e^value.

Example

Var x as new BigNumberMBS(2)
Var p as BigNumberMBS = BigNumberMBS.Exp(x)

MsgBox p.StringValue // shows e^2 = 7.38

BigNumberMBS.GradToDeg(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts degrees to gradians.

it returns: x * 180 / 200

BigNumberMBS.GradToRad(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts gradians to radians.

It returns: x * pi / 200.

BigNumberMBS.HalfPi as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value pi/2.

Example

Var b as BigNumberMBS = BigNumberMBS.HalfPi
MsgBox b.StringValue

BigNumberMBS.LibTypeStr as String

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Queries what implementation is used for this platform.

Shows asm in the text if assembler code is used.
Assembler code is not available for all platforms.

BigNumberMBS.Ln(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates natural logarithm.

Example

Var x as new BigNumberMBS(2)
Var p as BigNumberMBS = BigNumberMBS.Ln(x)

MsgBox p.StringValue // shows ln(2) = 0.69

BigNumberMBS.Ln10 as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value ln(10).

Example

Var b as BigNumberMBS = BigNumberMBS.Ln10
MsgBox b.StringValue

BigNumberMBS.Ln2 as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value ln(2).

Example

Var b as BigNumberMBS = BigNumberMBS.Ln2
MsgBox b.StringValue

BigNumberMBS.Log(value as BigNumberMBS, base as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Calculates logarithm in a given base.

Example

Var x as new BigNumberMBS(100)
Var d as new BigNumberMBS(10)
Var p as BigNumberMBS = BigNumberMBS.Log(x, d)

MsgBox p.StringValue // shows ln(100)/ln(10) = 2

BigNumberMBS.Max as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with maximum value.

Example

Var b as BigNumberMBS = BigNumberMBS.Min
MsgBox b.StringValue

BigNumberMBS.Min as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with minimum value.

Example

Var b as BigNumberMBS = BigNumberMBS.Min
MsgBox b.StringValue

BigNumberMBS.Nan as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value NaN.

Example

Var b as BigNumberMBS = BigNumberMBS.Nan
MsgBox b.StringValue

BigNumberMBS.NumberWithCurrency(value as Currency) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with a currency value.

Example

Var v as Currency = 123.456
Var b as BigNumberMBS = BigNumberMBS.NumberWithCurrency(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithDouble(value as Double) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with a 64-bit floating number.

Example

Var v as Double = 123.456
Var b as BigNumberMBS = BigNumberMBS.NumberWithDouble(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithInt32(value as Int32) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with a signed 32-bit integer.

Example

Var v as Int32 = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithInt32(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithInt64(value as Int64) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with a signed 64-bit integer.

Example

Var v as Int64 = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithInt64(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithInteger(value as Integer) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with an integer.

Example

Var v as Integer = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithInteger(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithSingle(value as single) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with an 32-bit floating point number.

Example

Var v as Single = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithSingle(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithString(value as String) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with value from string.

Example

Var v as String = "123"
Var b as BigNumberMBS = BigNumberMBS.NumberWithString(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithUInt32(value as UInt32) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with an unsigned 32-bit integer.

Example

Var v as UInt32 = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithUInt32(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithUInt64(value as UInt64) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with an unsigned 64-bit integer.

Example

Var v as UInt64 = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithUInt64(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithUInteger(value as UInteger) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number with an unsigned integer.

Example

Var v as UInteger = 123
Var b as BigNumberMBS = BigNumberMBS.NumberWithUInteger(v)

MsgBox b.StringValue

BigNumberMBS.NumberWithVariant(value as Variant) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates a number based on a variant.

Example

Var v as Variant = 123.456
Var b as BigNumberMBS = BigNumberMBS.NumberWithVariant(v)

MsgBox b.StringValue

Internally redirects to other NumberWith functions based on the value type.

BigNumberMBS.One as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value one.

Example

Var b as BigNumberMBS = BigNumberMBS.One
MsgBox b.StringValue

BigNumberMBS.Pi as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	16.5	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Returns a number with value pi.

Example

Var b as BigNumberMBS = BigNumberMBS.Pi
MsgBox b.StringValue

BigNumberMBS.RadToDeg(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts radians to degrees.

It returns: x * 180 / pi.

BigNumberMBS.RadToGrad(value as BigNumberMBS) as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Converts radians to gradians.

it returns: x * 200 / pi

BigNumberMBS.Rand as BigNumberMBS

Type	Topic	Plugin	Version	macOS	Windows	Linux	iOS	Targets
shared method	Math	MBS DataTypes Plugin	21.1	✅ Yes	✅ Yes	✅ Yes	✅ Yes	All

Creates random number.

Mantissa and exponent are filled with random bytes to generate a random names.

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