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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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50
Task/Pi/C-sharp/pi-1.cs Normal file
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using System;
using System.Numerics;
namespace PiCalc {
internal class Program {
private readonly BigInteger FOUR = new BigInteger(4);
private readonly BigInteger SEVEN = new BigInteger(7);
private readonly BigInteger TEN = new BigInteger(10);
private readonly BigInteger THREE = new BigInteger(3);
private readonly BigInteger TWO = new BigInteger(2);
private BigInteger k = BigInteger.One;
private BigInteger l = new BigInteger(3);
private BigInteger n = new BigInteger(3);
private BigInteger q = BigInteger.One;
private BigInteger r = BigInteger.Zero;
private BigInteger t = BigInteger.One;
public void CalcPiDigits() {
BigInteger nn, nr;
bool first = true;
while (true) {
if ((FOUR*q + r - t).CompareTo(n*t) == -1) {
Console.Write(n);
if (first) {
Console.Write(".");
first = false;
}
nr = TEN*(r - (n*t));
n = TEN*(THREE*q + r)/t - (TEN*n);
q *= TEN;
r = nr;
} else {
nr = (TWO*q + r)*l;
nn = (q*(SEVEN*k) + TWO + r*l)/(t*l);
q *= k;
t *= l;
l += TWO;
k += BigInteger.One;
n = nn;
r = nr;
}
}
}
private static void Main(string[] args) {
new Program().CalcPiDigits();
}
}
}

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Task/Pi/C-sharp/pi-2.cs Normal file
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using System;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
namespace EnumeratePi {
class Program {
private const int N = 60;
private const string ZS = " +-";
static void Main() {
Console.WriteLine("Digits of PI");
Console.WriteLine(new string('=', N + 13));
Console.WriteLine("Decimal : {0}", string.Concat(PiDigits(10).Take(N).Select(_ => _.ToString("d"))));
Console.WriteLine("Binary : {0}", string.Concat(PiDigits(2).Take(N).Select(_ => _.ToString("d"))));
Console.WriteLine("Quaternary : {0}", string.Concat(PiDigits(4).Take(N).Select(_ => _.ToString("d"))));
Console.WriteLine("Octal : {0}", string.Concat(PiDigits(8).Take(N).Select(_ => _.ToString("d"))));
Console.WriteLine("Hexadecimal: {0}", string.Concat(PiDigits(16).Take(N).Select(_ => _.ToString("x"))));
Console.WriteLine("Alphabetic : {0}", string.Concat(PiDigits(26).Take(N).Select(_ => (char) ('A' + _))));
Console.WriteLine("Fun : {0}", string.Concat(PiDigits(ZS.Length).Take(N).Select(_ => ZS[(int)_])));
Console.WriteLine("Nibbles : {0}", string.Concat(PiDigits(0x10).Take(N/2).Select(_ => string.Format("{0:x1} ", _))));
Console.WriteLine("Bytes : {0}", string.Concat(PiDigits(0x100).Take(N/3).Select(_ => string.Format("{0:x2} ", _))));
Console.WriteLine("Words : {0}", string.Concat(PiDigits(0x10000).Take(N/5).Select(_ => string.Format("{0:x4} ", _))));
Console.WriteLine("Dwords : {0}", string.Concat(PiDigits(0x100000000).Take(N/9).Select(_ => string.Format("{0:x8} ", _))));
Console.WriteLine(new string('=', N + 13));
Console.WriteLine("* press any key to exit *");
Console.ReadKey();
}
/// <summary>Enumerates the digits of PI.</summary>
/// <param name="b">Base of the Numeral System to use for the resulting digits (default = Base.Decimal (10)).</param>
/// <returns>The digits of PI.</returns>
static IEnumerable<long> PiDigits(long b = 10) {
BigInteger
k = 1,
l = 3,
n = 3,
q = 1,
r = 0,
t = 1
;
// skip integer part
var nr = b * (r - t * n);
n = b * (3 * q + r) / t - b * n;
q *= b;
r = nr;
for (; ; ) {
var tn = t * n;
if (4 * q + r - t < tn) {
yield return (long)n;
nr = b * (r - tn);
n = b * (3 * q + r) / t - b * n;
q *= b;
} else {
t *= l;
nr = (2 * q + r) * l;
var nn = (q * (7 * k) + 2 + r * l) / t;
q *= k;
l += 2;
++k;
n = nn;
}
r = nr;
}
}
}
}