#ifndef GENERALUTILITY_BASECONVERSION_H #define GENERALUTILITY_BASECONVERSION_H #include #include #include #include #include "ContainerUtility.h" namespace Leonetienne { namespace GeneralUtility { class BaseConversion { public: //! Will divide a number of arbitrary base in `dividend` by an integer divisor. //! This is a specific helper function for the base conversion functions. //! \tparam T_Container The type of container used for the digitstring //! \param dividend The number to be divided in listlike container-form (such as a string) //! \param divisor The integer divisor //! \param set The set/base of `dividend` //! \return A pair of the result. (result, rest) template static std::pair DigitstringDivision(const T_Container ÷nd, const unsigned int divisor, const T_Container &set); //! Will convert a number of arbitrary base to base 10 //! \tparam T_Container The type of container used for the digitstring //! \param num A listlike container representing the number (such as a string) //! \param set The set/base of the number //! \return A 64-bit integer representing the number template static std::uint64_t BaseX_2_10(const T_Container &num, const T_Container &set); //! Will convert a number to an arbitrary base. //! This just a wrapper for BaseX_2_Y. //! \tparam T_Container The type of container used for the digitstring //! \param num The number to be converted //! \param set The desired set/base for the output to be in. Should be a listlike container (such as a string) //! \return `num` in base `set` template static T_Container Base10_2_X(const std::uint64_t &num, const T_Container &set, const std::uint32_t minOutLen = 1); //! Will convert a number from an arbitrary base to another arbitrary base. //! \tparam T_ContainerIn The type of container used for the incoming digitstring //! \tparam T_ContainerOut The type of container used for the outgoing digitstring //! \param num A representation of a number in a listlike container (such as a string) //! \param set_in The set/base of the input //! \param set_out The desired set/base to output //! \param minLen The minimum output length. Setting this will result in zero-padded output (Like, 00000001 instead of 1) //! \return `num` in base `set_out` template static T_ContainerOut BaseX_2_Y(const T_ContainerIn &num, const T_ContainerIn &set_in, const T_ContainerOut &set_out, const std::uint32_t minOutLen = 1); private: // No instantiation! >:( BaseConversion(); }; namespace { // Fast 64-bit int power function inline 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; } } template std::uint64_t BaseConversion::BaseX_2_10(const T_Container &num, const T_Container &set) { // If base is 0, throw logic error if (set.size() == 0) throw std::logic_error("Can't convert from base0! Please supply a nonempty set!"); unsigned long long int buf = 0; for (std::size_t i = 0; i < num.size(); i++) { for (std::size_t j = 0; j < set.size(); j++) { if (num[i] == set[j]) { buf += Powuli((std::uint64_t) set.size(), (uint64_t) (num.size() - (i + 1))) * j; break; } } } return buf; } // Based on: https://www.geeksforgeeks.org/divide-large-number-represented-string/ template std::pair BaseConversion::DigitstringDivision(const T_Container ÷nd, const unsigned int divisor, const T_Container &set) { // Quick rejects: // No set? Throw logic error if (set.size() == 0) throw std::logic_error("Can't divide a number of base0! Please supply a nonempty set!"); // No division by 0 if (divisor == 0) throw std::overflow_error("Division by zero!"); // Dividend size 0? Return 0. if (dividend.size() == 0) return std::make_pair(T_Container({set[0]}), 0); // Verify that all digits are represented in the set/base for (const auto &c: dividend) if (ContainerUtility::Ord(c, set) == -1) throw std::logic_error( "The supplied dividend contains a digit that is not represented in the set/base!"); // Now for the actual algorithm: T_Container result; // Find prefix of number that is larger than divisor. int idx = 0; int temp = ContainerUtility::Ord(dividend[idx], set); while (temp < divisor) { idx++; if (idx < dividend.size()) temp = temp * set.size() + ContainerUtility::Ord(dividend[idx], set); else break; } // 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 result.insert(result.cend(), set[temp / divisor]); curRest = temp % divisor; // Take next digit of number idx++; if (idx < dividend.size()) temp = (temp % divisor) * set.size() + ContainerUtility::Ord(dividend[idx], set); } // If divisor is greater than number if (result.size() == 0) { // Generate 0-value digitstring result.clear(); result.insert(result.cend(), set[0]); return std::make_pair(result, BaseX_2_10(dividend, set)); } // else return the answer return std::make_pair(result, curRest); } template T_ContainerOut BaseConversion::BaseX_2_Y(const T_ContainerIn &num, const T_ContainerIn &set_in, const T_ContainerOut &set_out, const std::uint32_t minOutLen) { if ((set_in.size() == 0) || (set_out.size() == 0)) throw std::logic_error("Can't convert from or to base0! Please supply a nonempty set!"); T_ContainerOut result; // Generate a 0-value string for inbase const T_ContainerIn zeroInbase({set_in[0]}); if (num != zeroInbase) { // Populate result object { T_ContainerIn buf = num; while (buf != zeroInbase) { const auto divRes = DigitstringDivision(buf, set_out.size(), set_in); const std::uint64_t mod = divRes.second; buf = divRes.first; result.insert(result.cend(), set_out[mod]); } } // Reverse result object item order { // Now reverse result T_ContainerOut buf = result; result.clear(); for (std::size_t i = 0; i < buf.size(); i++) result.insert(result.cend(), buf[buf.size() - i - 1]); } } else { // If num is 0, just pass a null-value. The algorithm would hang otherwise. result.insert(result.cend(), set_out[0]); } // Add as much null-values to the left as requested. if (result.size() < minOutLen) { const std::size_t cachedLen = result.size(); const T_ContainerOut cachedStr = result; result.clear(); for (std::size_t i = 0; i < minOutLen - cachedLen; i++) result.insert(result.cend(), set_out[0]); for (const auto &it: cachedStr) result.insert(result.cend(), it); } return result; } template T_Container BaseConversion::Base10_2_X(const std::uint64_t &num, const T_Container &set, const std::uint32_t minOutLen) { // Convert num to a string std::stringstream ss; ss << num; const std::string numStr = ss.str(); // Use BaseX_2_Y to convert to outbase const T_Container convertedNum = BaseX_2_Y(numStr, "0123456789", set, minOutLen); // return it return convertedNum; } } } #endif //GENERALUTILITY_BASECONVERSION_H