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MathForString.cs
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258 lines (214 loc) · 6.34 KB
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/*
* Created by SharpDevelop.
* User: kafeinaltor
* Date: 20.03.2020
* Time: 19:21
*
* To change this template use Tools | Options | Coding | Edit Standard Headers.
*/
using System;
using System.Linq;
using System.Collections.Generic;
using System.Text.RegularExpressions;
using System.Diagnostics;
namespace StringMath
{
/// <summary>
/// Description of MathForString.
/// </summary>
public static class MathForString
{
public static string Sum(this string num1, string num2, bool omitZeros)
{
int s1 = num1.Sign();
int s2 = num2.Sign();
string usNum1 = num1.WoSign();
string usNum2 = num2.WoSign();
if (s1 * s2 == -1) {
return s1 == -1 ? usNum2.Minus(usNum1, omitZeros) : usNum1.Minus(usNum2, omitZeros);
}
if (s1 * s2 == 0) {
return s1 != 0 ? num1 : num2;
}
var arr = usNum1.EqualizeLength(usNum2);
usNum1 = arr[0];
usNum2 = arr[1];
int max = usNum1.Length;
string result = "";
int rem = 0;
for (int i = max - 1; i >= 0; i--) {
if (usNum1[i] == '.') {
result = result.Insert(0, ".");
continue;
}
int a = int.Parse(usNum1[i].ToString());
int b = int.Parse(usNum2[i].ToString());
int total = a + b + rem;
int r = total % 10;
rem = total / 10;
result = (i == 0) ? result.Insert(0, total.ToString()) : result.Insert(0, r.ToString());
}
if (omitZeros)
result = result.FixNumber().Simplify();
return result.Insert(0, s1 == -1 ? "-" : "");
}
public static string Minus(this string num1, string num2, bool omitZeros)
{
int s1 = num1.Sign();
int s2 = num2.Sign();
string wsnum1 = num1.WoSign();
string wsnum2 = num2.WoSign();
if (s1 * s2 == 0) {
return s1 == 0 ? wsnum2.Insert(0, s2 == 1 ? "-" : "") : num1;
}
if (s1 * s2 == -1) {
return wsnum1.Sum(wsnum2, omitZeros).Insert(0, s1 == -1 ? "-" : "");
}
int comp = wsnum1.Compare(wsnum2);
if (comp == 0)
return "0";
if (comp == -1) {
string temp = wsnum1;
wsnum1 = wsnum2;
wsnum2 = temp;
}
var arr = wsnum1.EqualizeLength(wsnum2);
string usNum1 = arr[0];
string usNum2 = arr[1];
int max = usNum1.Length;
string result = "";
for (int i = max - 1; i >= 0; i--) {
if (usNum1[i] == '.') {
result = result.Insert(0, ".");
continue;
}
int a = int.Parse(usNum1[i].ToString());
int b = int.Parse(usNum2[i].ToString());
if (a < b) {
usNum1 = usNum1.BorrowingFromNeighbour(usNum2, i);
result = result.Insert(0, (a + 10 - b).ToString());
} else {
result = result.Insert(0, (a - b).ToString());
}
}
if (omitZeros)
result = result.FixNumber().Simplify();
if (comp == 1) {
return (s1 == -1 ? "-" : "") + result;
}
if (comp == -1) {
return (s1 == 1 ? "-" : "") + result;
}
return result;
}
public static string Multiply(this string num1, string num2)
{
if (num1.Sign() == 0 || num2.Sign() == 0)
return "0";
int dot1 = num1.IndexOf('.');
int dot2 = num2.IndexOf('.');
int decLen1 = dot1 > 0 ? num1.Length - 1 - dot1 : 0;
int decLen2 = dot2 > 0 ? num2.Length - 1 - dot2 : 0;
string rnum1 = num1.WoSign().Replace(".", "").FixNumber();
string rnum2 = num2.WoSign().Replace(".", "").FixNumber();
int len1 = rnum1.Length;
int len2 = rnum2.Length;
List<string> list = new List<string>();
string result = "";
int rem = 0;
for (int i = len1 - 1; i >= 0; i--) {
result = "";
rem = 0;
int a = int.Parse(rnum1[i].ToString());
for (int j = len2 - 1; j >= 0; j--) {
int b = int.Parse(rnum2[j].ToString());
int res = (a * b) + rem;
rem = res / 10;
int t = res % 10;
result = result.Insert(0, t.ToString());
}
list.Add(result.Insert(0, rem == 0 ? "" : rem.ToString()));
}
string multResult = "0";
for (int i = 0; i < list.Count; i++) {
multResult = multResult.Sum(list[i].InsertZerosToEnd(i), true);
}
int nofComma = decLen1 + decLen2;
int len = -multResult.Length + nofComma;
if (nofComma > 0) {
if (multResult.Length - nofComma > 0) {
multResult = multResult.Insert(multResult.Length - nofComma, ".");
} else {
for (int i = 0; i < len; i++) {
multResult = multResult.Insert(0, "0");
}
multResult = multResult.Insert(0, "0.");
}
}
return multResult.FixNumber().Simplify().Insert(0, num1.Sign() == num2.Sign() ? "" : "-");
}
public static string Divide(this string num1, string num2, int nofMaxDecimalDigits)
{
string usnum1 = num1.WoSign();
string usnum2 = num2.WoSign();
string result = "";
int s1 = num1.Sign();
int s2 = num2.Sign();
if(s1==0)
{
return s2 == 0 ? "NaN" : "0";
}
if(s2==0)
{
return "NaN";
}
int nofDec1 = num1.GetDecimalLength();
int nofDec2 = num2.GetDecimalLength();
int nofMaxDec = Math.Max(nofDec1, nofDec2);
for (int i = 0; i < nofMaxDec; i++) {
usnum1 = usnum1.Multiply("10");
usnum2 = usnum2.Multiply("10");
}
bool dotPlaced = false;
while (usnum1.Compare(usnum2) < 0) {
usnum1 = usnum1.Multiply("10");
if (dotPlaced) {
result += "0";
} else {
result = result.Insert(0, "0.");
dotPlaced = true;
}
}
int start = 0;
int count = 1;
string remainder = "";
string divResult = "";
string totalResult = "";
while (true) {
if(start + count > usnum1.Length && !dotPlaced)
{
divResult = divResult.Insert(divResult.Length, ".");
dotPlaced = true;
}
string partial = remainder + usnum1.DivSubstring(start, count);
int div = partial.FindDivider(usnum2);
string toSubtract = usnum2.Multiply(div.ToString());
remainder = partial.Minus(toSubtract, true);
divResult = divResult.Insert(divResult.Length, div.ToString());
start++;
count = 1;
totalResult = result + divResult.FixNumber().Simplify();
if(totalResult.GetDecimalLength() >= nofMaxDecimalDigits)
return ((s1*s2) < 0 ? "-" : "") + totalResult;
if(remainder.Sign() == 0 && start >= usnum1.Length)
return ((s1*s2) < 0 ? "-" : "") + totalResult;
}
}
public static string Factorial(this string num)
{
if (num.Sign() == 0 || num.FixNumber() == "1")
return "1";
return num.Multiply(num.Minus("1", true).Factorial());
}
}
}