// Berechne die quadratwurzel aus q (Heronverfahren) // // 1 / q \ // xn+1 = --- * | xn + ---- | // 2 \ xn / // Each iteration about doubles the correct decimal places! public static VeryLong Sqrt(VeryLong input, int numberOfDigits) { int additionalCalcDigits = 5; int additionalLimitDigits = 0; VeryLong limit = new VeryLong("0." + VeryLong.GetZeros(numberOfDigits + additionalLimitDigits) + "1" + VeryLong.GetZeros(additionalCalcDigits - additionalLimitDigits - 1)); VeryLong xnew; VeryLong delta; VeryLong xn = new VeryLong(input.ToString()); int i = 0; while (true) { VeryLong summand2 = input.DivideBy(xn, numberOfDigits + additionalCalcDigits); VeryLong factor = xn.Add(summand2); xnew = new VeryLong("0.5").Multiply(factor); delta = xnew.Subtract(xn); Console.WriteLine("i " + i); Console.WriteLine("Sqrt delta: " + delta.ToString()); Console.WriteLine("limit: " + limit.ToString()); Console.WriteLine("Sqrt: " + xnew.ToString()); xn = xnew; i++; if (!delta.Abs().IsLargerOrEqual(limit)) { break; } } xn.LimitPrecisionTo(numberOfDigits); return(xn); }
public static VeryLong AddSummands(List <string> summands) { VeryLong sum = new VeryLong(summands[0]); for (int i = 1; i < summands.Count; i++) { sum = sum.Add(new VeryLong(summands[i])); } return(sum); }
public static VeryLong GetPiTermDivisorEuler(int n) { // 1 --> 2*3*4 // 2 --> 4*5*6 // 3 --> 6*7*8 VeryLong factor1 = new VeryLong("2").Multiply(new VeryLong(n.ToString())); VeryLong factor2 = new VeryLong(factor1.Add(new VeryLong("1")).ToString()); VeryLong factor3 = new VeryLong(factor2.Add(new VeryLong("1")).ToString()); return(factor1.Multiply(factor2).Multiply(factor3)); }
static void Main(string[] args) { for (int i = 0; i < 5; i++) { Console.WriteLine("Enter a calculation like '1+2' or enter 'pi'. Operations are + - * /. Numbers are integers of any size."); string input = Console.ReadLine(); if (input == "pi") { Console.WriteLine("Enter the number of digits you want."); string digitsString = Console.ReadLine(); int numberDigits = 0; if (int.TryParse(digitsString, out numberDigits)) { string pi = VeryLongMath.Pi(numberDigits).ToString(); Console.WriteLine("Pi is: " + pi.ToString()); } else { Console.WriteLine("invalid number."); } continue; } if (input == "sqrt") { int numberDigits; VeryLong number; Console.WriteLine("Square root of?"); string numberString = Console.ReadLine(); Console.WriteLine("number of digits?"); string digitsString = Console.ReadLine(); if (int.TryParse(digitsString, out numberDigits)) { number = new VeryLong(numberString); string sqrt = VeryLongMath.Sqrt(number, numberDigits).ToString(); Console.WriteLine("Sqrt of " + numberString + " is: " + sqrt.ToString()); } else { Console.WriteLine("invalid number."); } } string[] parts = input.Split(new char[] { '+', '-', '*', '/' }); if (parts.Length != 2) { Console.WriteLine("invalid input."); continue; } VeryLong number0 = new VeryLong(parts[0]); VeryLong number1 = new VeryLong(parts[1]); if (input.Contains('+')) { Console.WriteLine(number0.Add(number1).ToString()); } else if (input.Contains('*')) { Console.WriteLine(number0.Multiply(number1).ToString()); } else if (input.Contains('-')) { Console.WriteLine(number0.Subtract(number1).ToString()); } else if (input.Contains('/')) { VeryLong remainder; VeryLong quotient = number0.DivideBy(number1, out remainder); Console.WriteLine(quotient.ToString() + " Remainder: " + remainder); VeryLong quotientWithDecimal = number0.DivideBy(number1, 100); Console.WriteLine(quotientWithDecimal.ToString()); } else { Console.WriteLine("Please enter a valid operation..."); } } Console.ReadLine(); }