Ein Anderssono
54d2fecee0
- 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
66 lines
1.7 KiB
C#
66 lines
1.7 KiB
C#
using System;
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using System.Numerics;
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class Program
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{
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static void Main(string[] args)
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{
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int decimals = 100;
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if (args.Length > 0)
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{
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if (!int.TryParse(args[0], out decimals) || decimals <= 0)
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decimals = 100;
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}
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BigInteger pi = CalculatePi(decimals);
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Console.WriteLine(FormatPi(pi, decimals));
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}
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// Calculate arctan(1/x) using Taylor series
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static BigInteger Arctan(int x, int decimals)
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{
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BigInteger scale = BigInteger.Pow(10, decimals + 10);
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BigInteger xBig = new BigInteger(x);
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BigInteger xSquared = xBig * xBig;
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BigInteger result = BigInteger.Zero;
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BigInteger term = scale / xBig;
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int n = 0;
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while (term != 0 && n < decimals * 3)
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{
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BigInteger divisor = new BigInteger(2 * n + 1);
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BigInteger contrib = term / divisor;
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if (n % 2 == 0)
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result += contrib;
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else
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result -= contrib;
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term /= xSquared;
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n++;
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if (n > decimals * 2) break;
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}
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return result;
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}
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// Calculate pi using Machin's formula
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static BigInteger CalculatePi(int decimals)
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{
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BigInteger atan1_5 = Arctan(5, decimals);
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BigInteger atan1_239 = Arctan(239, decimals);
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return 16 * atan1_5 - 4 * atan1_239;
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}
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// Format pi with decimal point
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static string FormatPi(BigInteger pi, int decimals)
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{
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string piStr = pi.ToString();
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while (piStr.Length < decimals + 10)
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piStr = "0" + piStr;
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return "3." + piStr.Substring(1, decimals);
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}
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} |