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-1 : 1); } + /* 提取string形式分数结果 */ inline string toStr(){ simplify(); stringstream ss; - ss << _top << "/" << _bottom; + ss << ((_isNegative) ? "-" : "") << _top << "/" << _bottom; return ss.str(); }; + /* 提取分子 */ + inline int top() const{ + return ((_isNegative) ? -1 : 1) * (int) _top; + } + /* 提取分母 */ + inline int bottom() const{ + return (int)_bottom; + } private: - int _top; - int _bottom; - void _check(){ + /* 主要变量 */ + unsigned int _top; + unsigned int _bottom; + bool _isNegative; + + /* 初始化 */ + inline void ini(){ + _top = 0; + _bottom = 0; + _isNegative = false; } - inline void adjust_minus(){ - if(_bottom < 0){ - _top *= -1; - _bottom *= -1; + + /* 处理负号 */ + inline void adjust_minus(int top, int bottom){ + if(top < 0 && bottom < 0){ + _isNegative = false; + _top = -1 * top; + _bottom = -1 * bottom; + return; } + if(bottom < 0){ + _isNegative = true; + _top = top; + _bottom = -1 * bottom; + return; + } + if(top < 0){ + _isNegative = true; + _top = (-1 * top); + _bottom = bottom; + return; + } + _top = top; + _bottom = bottom; } + + /* 处理分母为0 */ inline void is_bottom_zero() const{ if(_bottom == 0){ throw "Division by zero condition!"; } } + + /* 通分,找最大公约数 */ int get_common_divisor() const; inline void simplify(){ int t_divisor = get_common_divisor(); @@ -161,16 +199,69 @@ class Fraction { _bottom /= t_divisor; } + /* 针对double处理负号 */ + inline void is_double_negative(double& d){ + if(d < 0){ + d *= -1; + _isNegative = true; + }else{ + _isNegative = false; + } + } + + /* 小数强制转分数 */ + void dec_to_frac_direct(double d); + + /* 无限循环小数转分数 - 补丁 */ + unsigned long int transfer_double_decimals_to_unsigned_long_int_for_single(const double& d); + + /* 转换double小数部分到长整型 */ + unsigned long int transfer_double_decimals_to_unsigned_long_int(const double& d); + + /* 获取double小数整数部分 */ + inline unsigned long int get_double_integer_part(const double& d){ + return (unsigned long int)floor(fabs(d)); + } + + /* 获取double小数部分 */ + inline unsigned long int get_double_decimals_part(const double& d){ + double t; + return transfer_double_decimals_to_unsigned_long_int(fabs(d) - floor(fabs(d))); + } + + /* 获取小数部分的某一位 */ + inline unsigned short get_one_decimal(const unsigned long int& t, unsigned short point){ + return (t / (unsigned int)pow(10, point - 1)) % 10; + } + + /* 获取 int 长度 */ + unsigned short get_long_int_length(long int t); + + /* 获取循环小数循环体 */ + unsigned int get_repeat_part(const unsigned long int& t); + + /* 检查循环体顺序 */ + void confirm_repeat_part(const unsigned long int& t, unsigned int& repeat, unsigned short& start); + + /* 循环小数转分数 */ + void repeated_decimal_to_fraction(double d); + + }; -Fraction::Fraction(const int top, const int bottom) + +void Fraction::dec_to_frac_direct(double d) { - _top = top; - _bottom = bottom; + unsigned short t = get_long_int_length(get_double_decimals_part(d)); + + _top = d * (int)pow(10, t); + _bottom = (unsigned int)pow(10, t); } + + int Fraction::get_common_divisor() const { int t_top = _top; @@ -196,7 +287,7 @@ int Fraction::get_common_divisor() const -unsigned long int transfer_double_decimals_to_unsigned_long_int_for_single(const double& d) +unsigned long int Fraction::transfer_double_decimals_to_unsigned_long_int_for_single(const double& d) { if(d > 0.09999999999 && d < 0.100000000001) return 1; if(d > 0.19999999999 && d < 0.200000000001) return 2; @@ -211,7 +302,7 @@ unsigned long int transfer_double_decimals_to_unsigned_long_int_for_single(const } -unsigned long int transfer_double_decimals_to_unsigned_long_int(const double& d) +unsigned long int Fraction::transfer_double_decimals_to_unsigned_long_int(const double& d) { if(transfer_double_decimals_to_unsigned_long_int_for_single(d)) return transfer_double_decimals_to_unsigned_long_int_for_single(d); @@ -225,29 +316,7 @@ unsigned long int transfer_double_decimals_to_unsigned_long_int(const double& d) } -inline unsigned long int get_double_decimals_part(const double& d) -{ - double t; - return transfer_double_decimals_to_unsigned_long_int(fabs(d) - floor(fabs(d))); -} - -inline unsigned long int get_double_integer_part(const double& d) -{ - return (unsigned long int)floor(fabs(d)); -} - -inline bool get_double_is_negative(const double& d) -{ - return (d < 0)? true : false; -} - - -inline unsigned short get_one_decimal(const unsigned long int& t, unsigned short point) -{ - return (t / (unsigned int)pow(10, point - 1)) % 10; -} - -unsigned short get_long_int_length(long int t) +unsigned short Fraction::get_long_int_length(long int t) { int count = 0; while(t){ @@ -260,7 +329,7 @@ unsigned short get_long_int_length(long int t) } -unsigned int get_repeat_part(const unsigned long int& t) +unsigned int Fraction::get_repeat_part(const unsigned long int& t) { unsigned short i = 1; unsigned short len = get_long_int_length(t); @@ -281,7 +350,7 @@ unsigned int get_repeat_part(const unsigned long int& t) return 0; } -void confirm_repeat_part(const unsigned long int& t, unsigned int& repeat, unsigned short& start) +void Fraction::confirm_repeat_part(const unsigned long int& t, unsigned int& repeat, unsigned short& start) { unsigned short len = get_long_int_length(repeat); @@ -303,8 +372,9 @@ void confirm_repeat_part(const unsigned long int& t, unsigned int& repeat, unsig } } -void repeated_decimal_to_fraction(double d) +void Fraction::repeated_decimal_to_fraction(double d) { + unsigned long int t = get_double_decimals_part(d); unsigned short start = 0; @@ -329,6 +399,8 @@ void repeated_decimal_to_fraction(double d) up = t % (unsigned int)pow(10, get_long_int_length(repeat)); + up = up + get_double_integer_part(d) * down; + //cout << up << endl; _top = up; _bottom = down; @@ -344,18 +416,24 @@ int main() vector b; b.push_back(2);b.push_back(4);b.push_back(3);b.push_back(5); - Fraction f(5,20); + Fraction f(-4,1); + Fraction g(-4,1); + Fraction k=f+g; + + Fraction l = f; + double c; - // for(int i =0; i < a.size(); i++) cout << a[i] <