Added tests for StringDivision, made it work with any base, and implemented BaseX_2_10

This commit is contained in:
Leonetienne
2022-02-27 15:49:09 +01:00
parent c174a95622
commit 5ff48cb710
4 changed files with 219 additions and 0 deletions

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@@ -1,2 +1,73 @@
#include "GeneralUtility.h"
#include <string>
#include <sstream>
#include <stdexcept>
// Fast 64-bit int power function
std::uint64_t Powuli(const std::uint64_t& b, const std::uint64_t& e) {
std::uint64_t buf = 1;
for (std::uint64_t i = 0; i < e; i++)
buf *= b;
return buf;
}
std::uint64_t GeneralUtility::BaseX_2_10(const std::string& num, const std::string& set) {
unsigned long long int buf = 0;
for (std::size_t i = 0; i < num.length(); i++) {
for (std::size_t j = 0; j < set.length(); j++) {
if (num[i] == set[j]) {
buf += Powuli((std::uint64_t)set.length(), (uint64_t)(num.length() - (i + 1))) * j;
break;
}
}
}
return buf;
}
// Based on: https://www.geeksforgeeks.org/divide-large-number-represented-string/
std::pair<std::string, int>
GeneralUtility::StringDivision(const std::string& dividend, const unsigned int divisor, const std::string& set) {
// No set? Throw logic error
if (set.length() == 0)
throw std::logic_error("Can't divide a number of base0! Please supple a nonempty set!");
// No division by 0
if (divisor == 0)
throw std::overflow_error("Division by zero!");
// As result can be very large store it in string
std::stringstream ss;
// Find prefix of number that is larger than divisor.
int idx = 0;
int temp = Ord(dividend[idx], set);
while (temp < divisor)
temp = temp * set.length() + Ord(dividend[++idx], set);
// Repeatedly divide divisor with temp. After
// every division, update temp to include one
// more digit.
int curRest = temp % divisor;
while (dividend.size() > idx) {
// Store result in answer i.e. temp / divisor
ss << (char)(set[(temp / divisor)]);
curRest = temp % divisor;
// Take next digit of number
temp = (temp % divisor) * set.length() + Ord(dividend[++idx], set);
}
// If divisor is greater than number
if (ss.str().length() == 0)
{
// Generate 0-value string
std::stringstream ss;
ss << set[0];
return std::make_pair(ss.str(), BaseX_2_10(dividend, set));
}
// else return the answer
return std::make_pair(ss.str(), curRest);
}

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@@ -14,6 +14,21 @@ public:
//! \return The index of `item` in `set`. -1 if not found.
template <typename T_Type, class T_Container>
static int Ord(const T_Type& item, const T_Container& set);
//! Will divide a number of arbitrary base in `dividend` by an integer divisor.
//! This is a specific helper function for the base conversion functions.
//! \param dividend The number to be divided in string form
//! \param divisor The integer divisor
//! \param set The set/base of `dividend`
//! \return A pair of the result. (result, rest)
static std::pair<std::string, int> StringDivision(const std::string& dividend, const unsigned int divisor, const std::string& set = "0123456789");
//! Will convert a number of arbitrary base to base 10
//! \param num A string representing the number
//! \param set The set/base of the number
//! \return A 64-bit integer representing the number
static std::uint64_t BaseX_2_10(const std::string& num, const std::string& set);
private:
// No instantiation! >:(
GeneralUtility();