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https://github.com/opelly27/Y-Cruncher.git
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opelly27
119 lines
4.3 KiB
INI
119 lines
4.3 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: Oliver Kruse // DSG
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// Date: October 30, 2019
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//
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// Value = 1.03692775514336992633136548645703416805708091950191...
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//
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// Formula: Bailey, Borwein and Plouffe (1998), [Kruse (2019)]
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// https://www.davidhbailey.com/dhbpapers/digits.pdf
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//
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// Formula optimized by Alex Yee (2019).
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//
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{
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NameShort : "Zeta(5)"
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NameLong : "Zeta(5)"
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AlgorithmShort : "BBP-Kruse"
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AlgorithmLong : "BBP (1998), Kruse (2019)"
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Formula : {
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Divide : [
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{LinearCombination : [
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[-1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 0
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PolynomialP : [5]
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PolynomialQ : [0 0 0 0 0 1]
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}}]
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[-1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 8
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PolynomialP : [23]
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PolynomialQ : [-1 10 -40 80 -80 32]
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}}]
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[-1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 7
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PolynomialP : [243]
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PolynomialQ : [-1 15 -90 270 -405 243]
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}}]
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[-1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 9
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PolynomialP : [243]
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PolynomialQ : [-32 240 -720 1080 -810 243]
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}}]
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[1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 8
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PolynomialP : [243]
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PolynomialQ : [-1 30 -360 2160 -6480 7776]
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}}]
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[1 {SeriesBinaryBBP : {
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Power : 1
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CoefficientP : 1
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CoefficientQ : 0
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CoefficientD : 1
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Alternating : "false"
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PowerCoef : -6
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PowerShift : 12
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PolynomialP : [243]
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PolynomialQ : [-3125 18750 -45000 54000 -32400 7776]
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}}]
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[1 {Scope : {
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Locals : [
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{ log1 : {Log : 2}}
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{ log2 : {Power : ["log1" 2]}}
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]
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Formula : {
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Multiply : [
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{LinearCombination : [
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[1 {Power : [
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{LinearCombination : [
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[12 {Power : [{Pi : {}} 2]}]
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[-9 "log2"]
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]}
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2
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]}]
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[243 {Power : ["log2" 2]}]
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]}
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"log1"
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]
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}
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}}]
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]}
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21762
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]
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}
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}
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