c++小项目 大数四则运算(整数)
代码如下: #pragma once #include#include #include using namespace std; #define UN_INIT 0XCCCCCCCCCCCCCCCC; #define MAX 0x7FFFFFFFFFFFFFFF #define MIN 0X8000000000000000 typedef long long INT64; class BigData { public: BigData(INT64 value=0xCCCCCCCCCCCCCCCC) :_value(value) { ToString(); }; BigData(const char *p); BigData operator+(BigData & bigdata); BigData operator-(BigData & bigdata); BigData operator*(BigData & bigdata); BigData operator/(BigData & bigdata); friend ostream& operator <<(ostream & _cout, const BigData& bigdata); private: bool IsOver64()const { string tmp("+9223372036854775807"); if (_StrData[0] == '-') { tmp = "-9223372036854775808"; } if (_StrData.size() < tmp.size()) return true; else if (_StrData.size() == tmp.size() && _StrData <= tmp) return true; return false; } string Add(string left, string right); string Sub(string left, string right); string Mul(string left, string right); string Div(string left, string right); private: bool IsLeftBig(const char *left, int lSize, const char *right, int rSize); char SubLoop( char *left, int lSize, const char *right, int rSize); void ToString(); INT64 _value; string _StrData; }; BigData::BigData(const char *pData) { //1212312 asdasd 1221312qwe 0000qweqwe if (pData == NULL) return; char *p =(char *) pData; char _Symble = pData[0]; if (_Symble == '+'||_Symble == '-') { p++; } else if (_Symble >= '0' && _Symble <= '9') { _Symble = '+'; } else _Symble = '-'; while (*p == '0') { p++; } _StrData.resize(strlen(pData) + 1); _StrData[0] = _Symble; int count = 1; _value = 0; while (*p>='0'&&*p<='9') { _value = _value*10 + (*p-'0'); _StrData[count++] = *p; p++; } if (_Symble == '-') _value = 0 - _value; _StrData.resize(count); }; ostream& operator<<(ostream & _cout, const BigData& bigdata) { //是否溢出判断 // if (bigdata.IsOver64()) { _cout << bigdata._value << endl; } else _cout << bigdata._StrData << endl; return _cout; } void BigData::ToString() { INT64 temp=_value;//1111111111111111 if (_value > 0) _StrData.append(1, '+'); else { _StrData.append(1, '-'); } if (_value < 0) temp = 0 - _value; while (temp) { char cStr = temp % 10 + '0'; _StrData.append(1, cStr); temp /= 10; } int left = 1; int right = _StrData.size()-1; while (left < right) { swap(_StrData[left], _StrData[right]); ++left; --right; } } bool BigData::IsLeftBig(const char *left, int lSize, const char *right, int rSize) { if (lSize > rSize || lSize == rSize&&strcmp(left, right) >=0) { return true; } return false; } char BigData::SubLoop( char *left, int lSize, const char *right, int rSize) { char Cret = '0'; while (true) { if (!IsLeftBig(left, lSize, right, rSize))//如果左边小 { break; } else//循环相减法 { int lsize = lSize - 1; int rsize = rSize - 1; while (lsize>=0&&rsize>=0) { char ret = left[lsize] - '0'; ret -= right[rsize] - '0'; if (ret < 0) { left[lsize-1] -= 1; ret += 10; } left[lsize] = ret + '0'; lsize--; rsize--; } while (*left == '0'&&lSize>0) { left++; lSize--; } Cret++; } } return Cret; } BigData BigData::operator +(BigData & bigdata) { if (IsOver64() && bigdata.IsOver64())//都不溢出 { if (_StrData[0] != bigdata._StrData[0]) { return BigData(_value + bigdata._value); } INT64 tmp = MIN - _value; if ((_value > 0 && (MAX - _value >= bigdata._value)) || (_value < 0 && (tmp <= bigdata._value))) { return BigData(_value + bigdata._value); } } //至少有一个溢出 //结果溢出 if (_StrData[0] == bigdata._StrData[0]) return BigData(Add(_StrData, bigdata._StrData).c_str()); else return BigData(Sub(_StrData, bigdata._StrData).c_str());//符号位相反 取反。 } string BigData::Add(string left, string right)// { int iLeft = left.size(); int iRight = right.size(); string ret; ret.append(1, left[0]); if (left[0] != right[0]) { if (left[0] == '-') ret[0] = '+'; if (right[0] == '+') ret[0] = '-'; } if (iLeft < iRight) { swap(left, right); swap(iLeft, iRight); } ret.resize(iLeft + 1); char step = 0; for (int index = 1; index < iLeft; ++index) { char Cstr = left[iLeft - index] - '0' + step; if (index < iRight) { Cstr += (right[iRight - index] - '0'); } ret[iLeft - index + 1] = Cstr % 10 + '0'; step = Cstr / 10; } ret[1] = step + '0'; return ret; } BigData BigData::operator -(BigData & bigdata) { if (IsOver64() && bigdata.IsOver64())//两个不溢出 { if (_StrData[0] == bigdata._StrData[0]) { return BigData(_value - bigdata._value); } else {//10 -1 11 -11 1 -12 if ((_value>0 || (_value<0) && MIN + bigdata._value <= _value)) return BigData(_value - bigdata._value); } } if (_StrData[0] != bigdata._StrData[0]) { //bigdata._StrData[0] = _StrData[0]; return BigData(Add(_StrData, bigdata._StrData).c_str()); } else { return BigData(Sub(_StrData, bigdata._StrData).c_str());//符号位相同 } } string BigData::Sub(string left, string right) { //if (left[0]==right[]) int iLeft = left.size(); int iRight = right.size(); string ret; char symble = left[0]; if (iLeft < iRight || (iLeft == iRight&&left 0 && MAX / _value >= bigdata._value) || (_value < 0 && (MAX / _value <= bigdata._value))) return BigData(_value*bigdata._value); } else { if ((_value > 0 && MIN / _value >= bigdata._value) || (_value < 0 && (MIN / _value >= bigdata._value))) return BigData(_value*bigdata._value); } } return BigData(Mul(_StrData, bigdata._StrData).c_str()); } string BigData::Mul(string left, string right) { char symbol = '+'; if (left[0] != right[0]) symbol = '-'; int iLeft = left.size(); int iRight = right.size(); if (iLeft > iRight) { swap(left, right); swap(iLeft, iRight); } string ret; //ret.resize(iLeft + iRight - 1); ret.assign(iLeft + iRight -1, '0'); ret[0] = symbol; int ioffset = 0; int rlen = ret.size(); for (int index = 1; index < iLeft; ++index) { char Cleft = left[iLeft - index] - '0'; char step = 0; if (Cleft == '0') { ++ioffset; continue; } for (int index = 1; index < iRight; ++index) { char Cstr = Cleft*(right[iRight - index] - '0') + step;//取到字符 Cstr += (ret[rlen - index - ioffset] - '0');//累加 ret[rlen - index - ioffset] = (((Cstr) % 10)+'0' ); step = Cstr / 10; } ret[rlen - iRight - ioffset] += step; ioffset++; } return ret; } BigData BigData::operator /(BigData & bigdata) { assert(bigdata._value != 0); if (IsOver64() && bigdata.IsOver64())//不溢出 { return BigData(_value / bigdata._value); } if (_StrData.size() < bigdata._StrData.size() || (_StrData.size() == bigdata._StrData.size()&&strcmp(_StrData.c_str() + 1, bigdata._StrData.c_str() + 1) < 0)) { return BigData(INT64(0)); } if (bigdata._StrData == "+1" || bigdata._StrData == "-1") { if (_StrData[0] != bigdata._StrData[0]) { _StrData[0] = '-'; } else _StrData[0] = '+'; return *this; } if (strcmp(_StrData.c_str() + 1, bigdata._StrData.c_str() + 1) == 0) { if (_StrData[0] != bigdata._StrData[0]) { return BigData(INT64(1)); } else return BigData(INT64(-1)); } return BigData(Div(_StrData, bigdata._StrData).c_str()); } string BigData::Div(string left, string right) { string ret; ret.append(1, '+'); if (left[0] != right[0]) { ret[0] = '-'; } int LSize = left.size() - 1; int Rsize= right.size() - 1; char *Left = (char *)left.c_str() + 1; char *Right = (char *)right.c_str() + 1; int datalen = Rsize; for (int index = 0; index < LSize;) { if (!IsLeftBig(Left, datalen, Right, Rsize))//左边小于右边 { ret.append(1, '0'); datalen++; if (datalen + index>LSize) break; } else { ret.append(1, SubLoop(Left, datalen, Right, Rsize)); while (*Left == '0'&&datalen > 0) { Left++; index++; datalen--; } datalen++; if (index + datalen > LSize) break; } } return ret; } 测试用例如下: oid testAdd() { BigData b1("-45353" ); BigData b2("37353753" ); BigData b3("-9223372036854775808" ); BigData b4("9223372036854775800" ); BigData b5("-9223372036854775810" ); BigData b6("9223372036854775900" ); //1、都在INT64范围内<运算后在范围内,运算后不在范围内>(再进行构造可以解决) cout << (b1 + b1) << endl; cout << (b2 + b2) << endl; cout << (b1 + b2) << endl; cout << (b1 + b4) << endl; cout << b3 << endl; cout << (b1 + b3) << endl; cout << (b2 + b4) << endl; //2、都不在INT64范围内<运算后在范围内,运算后不在范围内> cout << (b2 + b5) << endl; cout << (b1 + b6) << endl; cout << (b6 + b1) << endl; //3、一个在一个不在<运算后在范围内,运算后不在范围内> cout << endl; cout << endl; cout << endl; cout << endl; } void testSub() { BigData b1("-45353" ); BigData b2("37353753" ); BigData b3("-9223372036854775808" ); BigData b4("9223372036854775800" ); BigData b5("-9223372036854775810" ); BigData b6("9223372036854775900" ); //1、都在INT64范围内<运算后在范围内,运算后不在范围内>(再进行构造可以解决) cout << (b1 - b2) << endl; cout << (b2 - b1) << endl; cout << (b3 - b1) << endl; cout << (b1 - b4) << endl; cout << (b3 - b2) << endl; cout << (b4 - b1) << endl; cout << (b1 - b3) << endl; cout << (b2 - b4) << endl; cout << endl; //2、一个在一个不在<运算后在范围内,运算后不在范围内> cout << (b5 - b1) << endl; cout << (b1 - b5) << endl; cout << endl; cout << (b6 - b2) << endl; cout << (b2 - b6) << endl; cout << endl; cout << (b6 - b5) << endl; cout << (b5 - b6) << endl; cout << (b2 - b5) << endl; cout << (b1 - b6) << endl; cout << (b6 - b1) << endl; } void test() { BigData c1("999" ); BigData c2("222222222222222222222222222" ); cout<< c1*c2< (再进行构造可以解决) cout << ( BigData("999" ) * BigData( "22222222222222222222222222222" )) << endl; cout << (b2 * b1) << endl; cout << (b1 * b2) << endl; cout << (b1 * BigData("0" )) << endl; cout << ( BigData("0" ) * b2) << endl; cout << endl; cout << (b3 * b1) << endl; cout << (b1 * b3) << endl; cout << (b1 * b4) << endl; // 错误 cout << (b4 * b1) << endl; // 正确 cout << (b3 * b2) << endl; // 错误 cout << (b2 * b4) << endl; // 正确 cout << endl; //2、一个在一个不在<运算后在范围内,运算后不在范围内> cout << ( BigData("0" ) * b6) << endl; cout << (b5 * BigData("0" )) << endl; cout << (b5 * b1) << endl; cout << (b1* b5) << endl; cout << endl; cout << (b6 * b2) << endl; cout << (b2 * b6) << endl; cout << endl; cout << (b6 * b5) << endl; cout << (b5 * b6) << endl; cout << (b2 * b5) << endl; cout << endl; cout << (b1 * b6) << endl; cout << (b6 * b1) << endl; } void testDiv() { BigData b1("-45353" ); BigData b2("37353753" ); BigData b3("-9223372036854775808" ); BigData b4("9223372036854775800" ); BigData b5("-9223372036854775810" ); BigData b6("9223372036854775900" ); //1、排除除数为0 //cout << (b1 / BigData(0)) << endl; //2、在范围内 cout << (b1 / b2) << endl; cout << (b2 / b1) << endl; //3、不在范围内<左(被除数)比右(除数)小为0,左比右大> cout << (b2 / b5) << endl; cout << (b2 / b6) << endl; cout << (b5 / b2) << endl; cout << (b6 / b2) << endl; cout << (b6 / b1) << endl; cout << (b5 / b1) << endl; BigData b7("-1231123203367738338252" ); cout << b7 / b1 << endl; } int main() { //testMul(); //testAdd(); //testSub(); //testMul(); //test(); //BigData(10); testDiv(); //BigData b1("2222222222222222222222222"); //BigData b2("33"); //cout << b1 / b2 << endl; return 0; }
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