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
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+#!/usr/bin/env python3
+"""
+Beräknar pi med angivet antal decimaler
+Användning: python3 print_hej.py <antal_decimaler>
+"""
+
+import sys
+from decimal import Decimal, getcontext
+
+def arctan(x, precision):
+    """
+    Beräknar arctan(1/x) med Taylor-serien
+    arctan(1/x) = 1/x - 1/(3*x^3) + 1/(5*x^5) - ...
+    """
+    result = Decimal(0)
+    x = Decimal(x)
+    x_squared = x * x
+    
+    term = Decimal(1) / x
+    sign = 1
+    
+    for n in range(1000000):
+        divisor = Decimal(2 * n + 1)
+        contrib = term / divisor
+        
+        if sign > 0:
+            result += contrib
+        else:
+            result -= contrib
+        
+        term = term / x_squared
+        sign = -sign
+        
+        # Avbryt om termen är tillräckligt liten
+        if term < Decimal(10) ** (-precision - 10):
+            break
+    
+    return result
+
+def calculate_pi(decimals):
+    """
+    Beräknar pi med Machins formel: pi/4 = 4*arctan(1/5) - arctan(1/239)
+    """
+    # Sätt precision
+    getcontext().prec = decimals + 20
+    
+    atan1_5 = arctan(5, decimals)
+    atan1_239 = arctan(239, decimals)
+    
+    # pi = 4 * (4*arctan(1/5) - arctan(1/239))
+    pi = Decimal(4) * atan1_5
+    pi = pi - atan1_239
+    pi = pi * Decimal(4)
+    
+    return pi
+
+def main():
+    # Hämta antal decimaler från argument
+    if len(sys.argv) > 1:
+        try:
+            decimals = int(sys.argv[1])
+            if decimals < 1:
+                decimals = 100
+        except ValueError:
+            decimals = 100
+    else:
+        decimals = 100
+    
+    # Beräkna pi
+    pi = calculate_pi(decimals)
+    
+    # Skriv ut resultatet med rätt antal decimaler
+    pi_str = str(pi)
+    
+    # Hitta decimalpunkten
+    if '.' in pi_str:
+        int_part, dec_part = pi_str.split('.')
+        # Ta exakt decimals decimaler
+        if len(dec_part) > decimals:
+            dec_part = dec_part[:decimals]
+        else:
+            dec_part = dec_part.ljust(decimals, '0')
+        print(f"{int_part}.{dec_part}")
+    else:
+        print(pi_str)
+
+if __name__ == "__main__":
+    main()