Initial commit: Pi calculation benchmark with 34 languages

- Added implementations for: bash, brainfuck, c, cpp, crystal, csharp, d, dart, elixir, erlang, fortran, go, haskell, java, javascript, julia, kotlin, objective-c, scala, typescript, lua, nim, odin, perl, php, python, r, ruby, rust, swift, zig, assembly, vimscript, wolfram - All implementations use Machin's formula: π/4 = 4*arctan(1/5) - arctan(1/239) - Build system with ./build.sh, test system with ./test.sh - Performance testing with ./run_all.sh - Comprehensive README.md explaining performance differences - Test framework verifies correctness against known π values
2026-04-23 00:26:18 +02:00
commit 54d2fecee0
182 changed files with 17471 additions and 0 deletions
@@ -0,0 +1,66 @@
+import java.math.BigInteger
+import kotlin.system.exitProcess
+
+// Calculate arctan(1/x) using Taylor series
+// arctan(1/x) = 1/x - 1/(3*x^3) + 1/(5*x^5) - ...
+fun arctan(x: Int, decimals: Int): BigInteger {
+    val scale = BigInteger.TEN.pow(decimals + 10)
+    val xBig = BigInteger.valueOf(x.toLong())
+    val xSquared = xBig * xBig
+    
+    var term = scale / xBig
+    var result = BigInteger.ZERO
+    var n = 0
+    
+    while (term != BigInteger.ZERO && n < decimals * 3) {
+        val divisor = BigInteger.valueOf(2L * n + 1)
+        val contrib = term / divisor
+        
+        if (n % 2 == 0) {
+            result += contrib
+        } else {
+            result -= contrib
+        }
+        
+        term = term / xSquared
+        n++
+    }
+    
+    return result
+}
+
+fun calculatePi(decimals: Int): BigInteger {
+    val atan1_5 = arctan(5, decimals)
+    val atan1_239 = arctan(239, decimals)
+    
+    // pi = 16*arctan(1/5) - 4*arctan(1/239)
+    return atan1_5 * BigInteger.valueOf(16) - atan1_239 * BigInteger.valueOf(4)
+}
+
+fun main(args: Array<String>) {
+    var decimals = 100
+    
+    if (args.isNotEmpty()) {
+        try {
+            decimals = args[0].toInt()
+            if (decimals < 1) decimals = 100
+        } catch (e: NumberFormatException) {
+            decimals = 100
+        }
+    }
+    
+    val pi = calculatePi(decimals)
+    val piStr = pi.toString()
+    
+    // Print with decimal point
+    print("3.")
+    val startIndex = 1
+    val endIndex = minOf(startIndex + decimals, piStr.length)
+    print(piStr.substring(startIndex, endIndex))
+    
+    // Pad with zeros if needed
+    for (i in 0 until decimals - (endIndex - startIndex)) {
+        print("0")
+    }
+    println()
+}