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

Function: Absolute value of x.
Example:

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

Function: Calculates the Arc Cosine.
Example:

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

Dim x As Double = ACos(0.5)

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Inverse hyperbolic cosine.
Example:

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

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

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Calculates the Arc Cotangent.
Notes: 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

Function: Calculates inverse hyperbolic cotangent.
Notes: 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

Function: Calculates the Arc Sine.
Example:

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

Dim x As Double = ASin(1.0)

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Inverse hyperbolic sine.
Example:

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

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

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Calculates the Arc Tangent.
Example:

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

Dim 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

Function: Calculates inverse hyperbolic tangent.
Example:

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

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

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Calculates the cosine value.
Example:

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

Dim x As Double = Cos(1.0)

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Calculates the Hyperbolic Cosine.
Example:

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

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

MsgBox d.StringValue+EndOfLine+Str(x)

Notes: 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

Function: Calculates the Cotangent.
Notes: 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

Function: Calculates the Hyperbolic Cotangent.
Notes: 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

Function: Converts degrees in the long format into one value.
Notes:
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

Function: 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

Function: Converts degrees to gradians.
Notes: 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

Function: 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

Function: Converts degrees to radians.
Notes: 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

Function: Returns a number with value zero.
Example:

dim 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

Function: Calculates e^value.
Example:

dim x as new BigNumberMBS(2)
dim 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

Function: Converts degrees to gradians.
Notes: 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

Function: Converts gradians to radians.
Notes: 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

Function: Returns a number with value pi/2.
Example:

dim 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

Function: Queries what implementation is used for this platform.
Notes:
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

Function: Calculates natural logarithm.
Example:

dim x as new BigNumberMBS(2)
dim 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

Function: Returns a number with value ln(10).
Example:

dim 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

Function: Returns a number with value ln(2).
Example:

dim 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

Function: Calculates logarithm in a given base.
Example:

dim x as new BigNumberMBS(100)
dim d as new BigNumberMBS(10)
dim 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

Function: Returns a number with maximum value.
Example:

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

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