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https://github.com/opelly27/Y-Cruncher.git
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opelly27
101 lines
3.5 KiB
INI
101 lines
3.5 KiB
INI
// y-cruncher Custom Formula File
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//
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// This can be loaded directly from the Custom Compute menu or
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// entered from the command line as "custom:filename.cfg".
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// y-cruncher custom custom:"filename.cfg"
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//
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//
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// Author: Alexander J. Yee
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// Date: October 1, 2018
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//
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// Value = 3.14159265358979323846264338327950288419716939937510...
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// Formula: Fabrice Bellard's BBP Formula
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//
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// 1 inf ( (-1)^k ( 32 1 256 64 4 4 1 ))
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// Pi = ---- SUM (-------- (- ------ - ------ + ------- - ------- - ------- - ------- + -------))
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// 64 k=0 ( 1024^k ( 4k+1 4k+3 10k+1 10k+3 10k+5 10k+7 10k+9 ))
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//
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// https://en.wikipedia.org/wiki/Bellard%27s_formula
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//
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{
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NameShort : "Pi"
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NameLong : "Pi"
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AlgorithmShort : "Bellard"
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AlgorithmLong : "Fabrice Bellard's BBP Formula"
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Formula : {
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LinearCombination : [
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[1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 9
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PolynomialP : [1]
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PolynomialQ : [-3 4]
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}}]
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[1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 4
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PolynomialP : [1]
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PolynomialQ : [-1 4]
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}}]
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[-1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 12
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PolynomialP : [1]
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PolynomialQ : [-9 10]
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}}]
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[1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 10
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PolynomialP : [1]
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PolynomialQ : [-7 10]
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}}]
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[1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 5
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 6
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PolynomialP : [1]
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PolynomialQ : [-1 2]
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}}]
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[1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 6
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PolynomialP : [1]
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PolynomialQ : [-3 10]
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}}]
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[-1 {SeriesBinaryBBP : {
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "true"
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PowerCoef : -10
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PowerShift : 4
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PolynomialP : [1]
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PolynomialQ : [-1 10]
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}}]
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]
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}
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}
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