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// 1. 首先要将两个字符串的前缀0 去掉
std::string trimLeadingZeors(const std::string &str)
{
size_t nonZeroIdx = str.find_first_not_of('0');
if(nonZeroIdx == std::string::npos)
return '0'; // 此时全部是0
return str.substr(nonZeroIdx);
}
// 2. 比较两个字符串数字绝对值的大小
bool isAbsGreaterOrEqual(const std::string &a, const std::string &b)
{
std::string aTrimmed = trimLeadingZeors(a);
std::string bTrimmed = trimLeadingZeors(b);
if(aTrimmed.size() != bTrimmed.size())
return aTrimmed.size() > bTrimmed.size();
return aTrimmed > bTrimmed;
}
// 3. 两个整数字符串加法
std::string addStrings(const std::string &a, const std::string &b)
{
std::string result;
int carry = 0, sum=0;
int i = a.size()-1, j = b.size()-1;
while(i>=0 || j>=0 || carry)
{
int digitA = (i>=0)?a[i--]-'0':0;
int digitB = (j>=0)?b[i--]-'0':0;
sum = digitA + digitB + carry;
carry = sum / 10;
result.push_back(sum % 10 + '0');
}
std::reverse(result.begin(), result.end());
return result;
}
// 4. 字符串减法, a>=b
std::string subStrings(const std::string &a, const std::string &b)
{
std::string result;
int borrow = 0, diff=0;
int i = a.size()-1, j = b.size()-1;
while(i>=0 || j>=0)
{
int digitA = (i>=0)?a[i--]-'0':0;
int digitB = (j>=0)?b[i--]-'0':0;
diff = digitA - digitB - borrow;
if(diff < 0)
{
diff += 10;
borrow = 1;
}else
{
borrow = 0;
}
result.push_back(diff + '0');
}
std::reverse(result.begin(), result.end());
return result;
}
// 5. 实现 任意类型的加减
std::string add(const std::string &num1, const std::string &num2) {
bool isNum1Negative = (num1[0] == '-');
bool isNum2Negative = (num2[0] == '-');
std::string absNum1 = isNum1Negative ? num1.substr(1) : num1;
std::string absNum2 = isNum2Negative ? num2.substr(1) : num2;
if (!isNum1Negative && !isNum2Negative) {
// 都是正数
return addStrings(absNum1, absNum2);
} else if (isNum1Negative && isNum2Negative) {
// 都是负数
return "-" + addStrings(absNum1, absNum2);
} else if (isNum1Negative) {
// num1负,num2正
if (isAbsGreaterOrEqual(absNum1, absNum2)) {
return "-" + subtractStrings(absNum1, absNum2);
} else {
return subtractStrings(absNum2, absNum1);
}
} else {
// num1正,num2负
if (isAbsGreaterOrEqual(absNum2, absNum1)) {
return "-" + subtractStrings(absNum2, absNum1);
} else {
return subtractStrings(absNum1, absNum2);
}
}
}
// 字符串相减 任意
std::string subtract(const std::string &num1, const std::string &num2) {
std::string negatedNum2 = (num2[0] == '-') ? num2.substr(1) : "-" + num2;
return add(num1, negatedNum2);
}
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