Add files via upload

2026-05-20 02:57:34 +00:00 · 2021-11-11 21:34:46 -08:00
parent fa62f789fc
commit c5d13ac48a
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+//  y-cruncher Custom Formula File
+//
+//  This can be loaded directly from the Custom Compute menu or
+//  entered from the command line as "custom:filename.cfg".
+//      y-cruncher custom custom:"filename.cfg"
+//
+//
+//    Author:  Alexander J. Yee
+//    Date:    October 1, 2018
+//
+//    Value = 3.14159265358979323846264338327950288419716939937510...
+//
+//    Formula: Original BBP Formula
+//
+//         inf (  1    (  4        2        1        1   ))
+//    Pi = SUM (------ (------ - ------ - ------ - ------))
+//         k=0 ( 16^k  ( 8k+1     8k+4     8k+5     8k+6 ))
+//
+//    https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula
+//
+
+{
+    NameShort : "Pi"
+    NameLong : "Pi"
+    AlgorithmShort : "BBP (Original)"
+    AlgorithmLong : "Original BBP Formula"
+    Formula : {
+        LinearCombination : [
+            [1 {SeriesBinaryBBP : {
+                    CoefficientP : 1
+                    CoefficientQ : 0
+                    CoefficientD : 1
+                    Alternating : "false"
+                    PowerCoef : -4
+                    PowerShift : 6
+                    PolynomialP : [1]
+                    PolynomialQ : [-7 8]
+            }}]
+            [-1 {SeriesBinaryBBP : {
+                    CoefficientP : 1
+                    CoefficientQ : 0
+                    CoefficientD : 1
+                    Alternating : "false"
+                    PowerCoef : -4
+                    PowerShift : 3
+                    PolynomialP : [1]
+                    PolynomialQ : [-1 2]
+            }}]
+            [-1 {SeriesBinaryBBP : {
+                    CoefficientP : 1
+                    CoefficientQ : 0
+                    CoefficientD : 1
+                    Alternating : "false"
+                    PowerCoef : -4
+                    PowerShift : 4
+                    PolynomialP : [1]
+                    PolynomialQ : [-3 8]
+            }}]
+            [-1 {SeriesBinaryBBP : {
+                    CoefficientP : 1
+                    CoefficientQ : 0
+                    CoefficientD : 1
+                    Alternating : "false"
+                    PowerCoef : -4
+                    PowerShift : 3
+                    PolynomialP : [1]
+                    PolynomialQ : [-1 4]
+            }}]
+        ]
+    }
+}