You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
98 lines
2.9 KiB
98 lines
2.9 KiB
#include <stdio.h>
|
|
#include <iostream>
|
|
#include <vector>
|
|
#include <map>
|
|
#include "bignum.h"
|
|
|
|
//Integer to string conversion
|
|
std::string intToDecimal(int branch) {
|
|
if (branch < 10) return nums.substr(branch, 1);
|
|
else return intToDecimal(branch / 10) + nums.substr(branch % 10,1);
|
|
}
|
|
|
|
//Add two strings representing decimal values
|
|
std::string decimalAdd(std::string a, std::string b) {
|
|
std::string o = a;
|
|
while (b.length() < a.length()) b = "0" + b;
|
|
while (o.length() < b.length()) o = "0" + o;
|
|
bool carry = false;
|
|
for (int i = o.length() - 1; i >= 0; i--) {
|
|
o[i] = o[i] + b[i] - '0';
|
|
if (carry) o[i]++;
|
|
if (o[i] > '9') {
|
|
o[i] -= 10;
|
|
carry = true;
|
|
}
|
|
else carry = false;
|
|
}
|
|
if (carry) o = "1" + o;
|
|
return o;
|
|
}
|
|
|
|
//Helper function for decimalMul
|
|
std::string decimalDigitMul(std::string a, int dig) {
|
|
if (dig == 0) return "0";
|
|
else return decimalAdd(a, decimalDigitMul(a, dig - 1));
|
|
}
|
|
|
|
//Multiply two strings representing decimal values
|
|
std::string decimalMul(std::string a, std::string b) {
|
|
std::string o = "0";
|
|
for (unsigned i = 0; i < b.length(); i++) {
|
|
std::string n = decimalDigitMul(a, b[i] - '0');
|
|
if (n != "0") {
|
|
for (unsigned j = i + 1; j < b.length(); j++) n += "0";
|
|
}
|
|
o = decimalAdd(o, n);
|
|
}
|
|
return o;
|
|
}
|
|
|
|
//Is a greater than b? Flag allows equality
|
|
bool decimalGt(std::string a, std::string b, bool eqAllowed) {
|
|
if (a == b) return eqAllowed;
|
|
return (a.length() > b.length()) || (a.length() >= b.length() && a > b);
|
|
}
|
|
|
|
//Subtract the two strings representing decimal values
|
|
std::string decimalSub(std::string a, std::string b) {
|
|
if (b == "0") return a;
|
|
if (b == a) return "0";
|
|
while (b.length() < a.length()) b = "0" + b;
|
|
std::string c = b;
|
|
for (unsigned i = 0; i < c.length(); i++) c[i] = '0' + ('9' - c[i]);
|
|
std::string o = decimalAdd(decimalAdd(a, c).substr(1), "1");
|
|
while (o.size() > 1 && o[0] == '0') o = o.substr(1);
|
|
return o;
|
|
}
|
|
|
|
//Divide the two strings representing decimal values
|
|
std::string decimalDiv(std::string a, std::string b) {
|
|
std::string c = b;
|
|
if (decimalGt(c, a)) return "0";
|
|
int zeroes = -1;
|
|
while (decimalGt(a, c, true)) {
|
|
zeroes += 1;
|
|
c = c + "0";
|
|
}
|
|
c = c.substr(0, c.size() - 1);
|
|
std::string quot = "0";
|
|
while (decimalGt(a, c, true)) {
|
|
a = decimalSub(a, c);
|
|
quot = decimalAdd(quot, "1");
|
|
}
|
|
for (int i = 0; i < zeroes; i++) quot += "0";
|
|
return decimalAdd(quot, decimalDiv(a, b));
|
|
}
|
|
|
|
//Modulo the two strings representing decimal values
|
|
std::string decimalMod(std::string a, std::string b) {
|
|
return decimalSub(a, decimalMul(decimalDiv(a, b), b));
|
|
}
|
|
|
|
//String to int conversion
|
|
int decimalToInt(std::string a) {
|
|
if (a.size() == 0) return 0;
|
|
else return (a[a.size() - 1] - '0')
|
|
+ decimalToInt(a.substr(0,a.size()-1)) * 10;
|
|
}
|
|
|