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