#include #include #include #include "number.h" Number::Number(int a) { #ifdef _DEBUG_CONSTRUCTOR std::cout << "(Number constructor " << a << " -> "; #endif // Находим размер необходимой памяти под это число int temp = a; capacity = 0; while (temp != 0) { temp /= base; capacity += 1; } // Отдельно обрабатываем случай, когда число равно 0 if (capacity == 0) capacity = 1; // Выделяем память и записывем число a в массив data // Например, число 12345678 представится в виде массива [78, 56, 34, 12] data = new char[capacity]; for (int i = 0; i < capacity; ++i) { data[i] = a % base; a /= base; } // В данном случае размер будет равен вместимости size = capacity; #ifdef _DEBUG_CONSTRUCTOR std::cout << *this << ")" << std::endl; #endif } // Конструктор по умолчанию Number::Number():Number(0){} // Конструктор копирования Number::Number(const Number & n) { size = n.size; capacity = n.capacity; data = new char[capacity]; for (int i = 0; i < size; i++) { data[i] = n.data[i]; } } Number::Number(const char *str) { int len = std::strlen(str); size = (len + len % 2) / 2; capacity = size; data = new char[capacity]; char buf[2]; for (int i = 0; i < size; i++) { buf[1] = str[len - 2 * i - 1]; if (len - 2 * i - 1 > 0) { buf[0] = str[len - 2 * i - 2]; } else { buf[0] = '0'; } data[i] = std::stoi(buf); } } Number::~Number() { delete[]data; } Number & Number::operator=(const Number & right) { capacity = right.capacity; size = right.size; data = new char[capacity]; for (int i = 0; i < size; i++) { data[i] = right.data[i]; } return *this; } Number Number::operator+(Number a) { #ifdef _DEBUG_ADD std::cout << "arg1=" << a << "capacity=" << a. capacity << ",size=" << a.size << std::endl; std::cout << "arg2=" << *this << "capacity=" << this-> capacity << ",size=" << this->size << std::endl; #endif Number result; Number temp; int i; int carry = 0; if (size < a.size) { temp = *this; *this = a; a = temp; } result.capacity = size + 1; //result.data = new char[capacity]; result.data = (char *) calloc(result.capacity, sizeof(char)); for (i = 0; i < a.size; ++i) { result.data[i] = (data[i] + a.data[i] + carry) % base; carry = (data[i] + a.data[i] + carry) / base; } for (; i < size; ++i) { result.data[i] = (data[i] + carry) % base; carry = (data[i] + carry) / base; } if (carry) { #ifdef _DEBUG_ADD std::cout << "applied carry" << std::endl; #endif result.data[i] = carry; result.size = size + 1; } else { result.size = size; } #ifdef _DEBUG_ADD std::cout << result << " capacity=" << result. capacity << ",size=" << result.size << std::endl; #endif return result; } void Number::operator+=(const Number & a) { *this = *this + a; } bool Number::isEven() const { if (data[0] % 2) { return false; } return true; } Number Number::operator*(const Number & right) const { #ifdef _DEBUG_MUL std:: cout << "arg1=" << *this << "(capacity=" << capacity << ",size=" << size << ")" << " " << "arg2=" << right << "(capacity=" << right. capacity << ",size=" << right.size << ")" << std::endl; #endif if (*this == Number("0") || right == Number("0")) return Number("0"); int i, j; int temp; Number result; result.capacity = capacity + right.capacity; int *carry = (int *) std::calloc(result.capacity, sizeof(int)); result.data = (char *) calloc(result.capacity, sizeof(char)); #ifdef _DEBUG_MUL std::cout << "carry:[" << carry[0]; for (int k = 1; k < result.capacity; ++k) { std::cout << "," << carry[k]; } std::cout << "]" << std::endl; #endif for (i = 0; i < size; ++i) { for (j = 0; j < right.size; ++j) { #ifdef _DEBUG_MUL std::cout << i + j << ":" << static_cast < int >(result.data[i + j]) << " + " << static_cast < int >(data[i]) << " * " << static_cast < int >(right.data[j]) << " + " << carry[i + j] << std::endl; #endif temp = (result.data[i + j] + data[i] * right.data[j] + carry[i + j]); result.data[i + j] = temp % base; carry[i + j + 1] += temp / base; carry[i + j] = 0; } } #ifdef _DEBUG_MUL std::cout << "result before applying carry:" << result << std::endl; std::cout << "carry:[" << carry[0]; for (int k = 1; k < result.capacity; ++k) { std::cout << "," << carry[k]; } std::cout << "]" << std::endl; #endif if (carry[i + j - 1]) { result.data[i + j - 1] = carry[i + j - 1]; result.size = i + j; } else { result.size = i + j - 1; } #ifdef _DEBUG_MUL std::cout << "before correcting capacity, result=" << result << std:: endl; #endif // correcting capacity /*char* temp_data = (char *)calloc(result.size, sizeof(char)); for (i = 0; i < result.size; ++i) { temp_data[i] = result.data[i]; } free(result.data); result.capacity = result.size; result.data = (char*)calloc(result.size,sizeof(char)); for (i = 0; i < result.size; ++i) { result.data[i] = temp_data[i]; } free(temp_data); */ free(carry); #ifdef _DEBUG_MUL std::cout << "return value=" << result << "(capacity=" << result. capacity << ",size=" << result. size << ")" << std::endl << "======" << std::endl; #endif return result; } void Number::operator*=(const Number & a) { *this = *this * a; } bool Number::operator==(const Number & a) const { if (size != a.size) { return false; } for (int i = 0; i < size; ++i) { if (data[i] != a.data[i]) { return false; } } return true; } bool Number::operator!=(const Number & a) const { return not(*this == a); } bool Number::operator>(const Number & a) const { #ifdef _DEBUG_COMP std:: cout << "comp " << *this << "(size=" << size << ") and " << a << "(size=" << a.size << ")" << std::endl; #endif if (size > a.size) { #ifdef _DEBUG_COMP std::cout << "size > a.size => true" << std::endl; #endif return true; } if (size < a.size) { #ifdef _DEBUG_COMP std::cout << "size < a.size => false" << std::endl; #endif return false; } for (int i = size - 1; i >= 0; --i) { if (data[i] > a.data[i]) { return true; #ifdef _DEBUG_COMP std::cout << static_cast < int >(data[i]) << ">" << static_cast < int >(a.data[i]) << std::endl; #endif } if (data[i] < a.data[i]) { #ifdef _DEBUG_COMP std::cout << static_cast < int >(data[i]) << "<" << static_cast < int >(a.data[i]) << std::endl; #endif return false; } } #ifdef _DEBUG_COMP std::cout << "using final false" << std::endl; #endif return false; } bool Number::operator<(const Number & a) const { return not(*this > a) and(*this != a); } void Number::div2() { #ifdef _DEBUG_DIV2 std::cout << "n = " << *this << std::endl; #endif int carry = 0; int temp; for (int i = size - 1; i >= 0; --i) { temp = data[i] + carry * base; data[i] = temp / 2; carry = temp % 2; } if (data[size - 1] == 0) { --size; } #ifdef _DEBUG_DIV2 std::cout << "unstripped result " << *this << std::endl; #endif } std::ostream & operator<<(std::ostream & stream, const Number & right) { #ifdef _DEBUG_COUT stream << "["; for (std::size_t i = 0; i < right.size; ++i) { stream << static_cast < int >(right.data[right.size - 2 - i]) << ","; } stream << "]"; #else // Печатаем самый большой разряд stream << (int) right.data[right.size - 1]; // Печатаем остальные разряды с заполнением нулями до 2-х цифр // setfill и setw это то же самое, что и в языке C спецификатор %02d for (std::size_t i = 0; i < right.size - 1; ++i) stream << std::setfill('0') << std::setw(2) << (int) right. data[right.size - 2 - i]; #endif return stream; }