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Custom Formulas/Lemniscate - AGM-Pi.cfg

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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".
+//
+//      y-cruncher custom custom:"constant - algorithm"
+//
+//
+//    Author:  Alexander J. Yee
+//    Date:    October 26, 2018
+//
+//    Value: 5.24411510858423962092967917978223882736550990286324...
+//
+//                      2 Pi
+//    Lemniscate = -----------------
+//                  AGM(1, sqrt(2))
+//
+
+{
+    NameShort : "Lemniscate"
+    NameLong : "Lemniscate Constant"
+    AlgorithmShort : "AGM-Pi"
+    AlgorithmLong : "AGM-Pi"
+    Formula : {
+        Divide : [
+            {LinearCombination : [[2 {Pi : {}}]]}
+            {AGM : {Sqrt : 2}}
+        ]
+    }
+}