From 6cba84bc5a59ad42bde0c59f543a95dfef2ea7be Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sat, 18 Apr 2020 12:32:24 +0200 Subject: [PATCH 01/12] first commit --- README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 README.md diff --git a/README.md b/README.md new file mode 100644 index 0000000..2351385 --- /dev/null +++ b/README.md @@ -0,0 +1 @@ +# fractions From a5c5b1e95511bb8ce63cc2f18deaee17dd7cb752 Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sat, 18 Apr 2020 13:22:02 +0200 Subject: [PATCH 02/12] First implemention of fraction --- fractions | Bin 0 -> 17760 bytes fractions.cpp | 18 ++++++++++++ fractions.hpp | 69 ++++++++++++++++++++++++++++++++++++++++++++++ fractions.hpp.gch | Bin 0 -> 17946160 bytes 4 files changed, 87 insertions(+) create mode 100755 fractions create mode 100644 fractions.cpp create mode 100644 fractions.hpp create mode 100644 fractions.hpp.gch diff --git a/fractions b/fractions new file mode 100755 index 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b/fractions.cpp @@ -0,0 +1,18 @@ +#include +#include "fractions.hpp" + + +int main() { + int a = 7; + int b = 3; + int c = 1; + int d = 11; + fraction q(a,b); + fraction q2(c,d); + cout << a << "/" << b << '=' << q << endl; + cout << q << "+" << q2 << '=' << q + q2 << endl; + cout << q << "-" << q2 << '=' << q - q2 << endl; + cout << q << "*" << q2 << '=' << q * q2 << endl; + cout << q << "/" << q2 << '=' << q / q2 << endl; + return 0; +} diff --git a/fractions.hpp b/fractions.hpp new file mode 100644 index 0000000..75108f0 --- /dev/null +++ b/fractions.hpp @@ -0,0 +1,69 @@ +#include + +using namespace std; + +class fraction { + private: + int n, d; + int gcd (int a, int b) const { + if (a == 0) { + return b; + } + if (b == 0) { + return a; + } + if (a == b) { + return a; + } + + if (a > b) { + return gcd(a-b, b); + } + + return gcd(a, b-a); + } + public: + // Constructors + fraction(int a, int b) { + int hcf = gcd(a,b); + n = a / hcf; + d = b / hcf; + } + fraction(const fraction &q) { + int hcf = gcd(q.n,q.d); + n = q.n / hcf; + d = q.d / hcf; + } + // Operators + fraction operator+(const fraction &that) { + int numerator = this->n * that.d + that.n * this->d; + int denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator-(const fraction &that) { + int numerator = this->n * that.d - that.n * this->d; + int denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator*(const fraction &that) { + int numerator = this->n * that.n; + int denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator/(const fraction &that) { + fraction a(this->n,this->d); + fraction b(that.d,that.n); + return a * b; + } + friend ostream &operator<<( ostream &os, const fraction &q ) { + if( q.d == q.n) { + os << 1; + } else { + os << q.n << '/' << q.d; + } + return os; + } +}; diff --git a/fractions.hpp.gch b/fractions.hpp.gch new file mode 100644 index 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zGw}am;Qq;a92c$6sr{_a?>8=N0THD^f!sIiGkgaeyT0&i(OLx!jWS?8hQ9#AuFvZj zL+f*#PJPCIg$mi?_z(CMXP?$zMaFH#YpYZB8a^bV#fc;f>leF!uvvnRE+X|uwZUmU ue#j2pE4bY}|Iqm0*rlTW+NTr$xTC|eUzS}~ME@V}Q4;ij9PGt`ivI>}Tht~1 diff --git a/fractions.cpp b/fractions.cpp index e3c4798..6b04774 100644 --- a/fractions.cpp +++ b/fractions.cpp @@ -7,12 +7,15 @@ int main() { int b = 3; int c = 1; int d = 11; + double e = 0.75; fraction q(a,b); fraction q2(c,d); + fraction q3(e); cout << a << "/" << b << '=' << q << endl; cout << q << "+" << q2 << '=' << q + q2 << endl; cout << q << "-" << q2 << '=' << q - q2 << endl; cout << q << "*" << q2 << '=' << q * q2 << endl; cout << q << "/" << q2 << '=' << q / q2 << endl; + cout << e << '=' << q3 << endl; return 0; } diff --git a/fractions.hpp b/fractions.hpp index 75108f0..5422bac 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -1,4 +1,5 @@ #include +#include using namespace std; @@ -22,38 +23,81 @@ class fraction { return gcd(a, b-a); } + int get_precision(double a) { + string s = to_string(a); + bool dec = false; + int count = 0; + for(int i = 0; i < s.length(); i++) { + if(s[i] == '.') { + dec = true; + } else { + if(dec) { + count++; + } + } + } + return count; + } public: // Constructors + fraction() { + n = 0; + d = 1; + } fraction(int a, int b) { int hcf = gcd(a,b); n = a / hcf; d = b / hcf; } + fraction(int a) { + n = a; + d = 1; + } + fraction(double dec) { + int precision = get_precision(dec); + int denominator = 1; + for(int i = 0; i < precision; i++) { + denominator *= 10; + } + int numerator = dec * denominator; + int hcf = gcd(numerator,denominator); + n = numerator / hcf; + d = denominator / hcf; + } fraction(const fraction &q) { int hcf = gcd(q.n,q.d); n = q.n / hcf; d = q.d / hcf; } + // Member functions + bool sign() const { + return (n >= 0); + } // Operators - fraction operator+(const fraction &that) { + fraction operator+(const fraction &that) const { int numerator = this->n * that.d + that.n * this->d; int denominator = this->d * that.d; fraction q(numerator, denominator); return q; } - fraction operator-(const fraction &that) { + fraction operator-(const fraction &that) const { int numerator = this->n * that.d - that.n * this->d; int denominator = this->d * that.d; fraction q(numerator, denominator); return q; } - fraction operator*(const fraction &that) { + fraction operator*(const fraction &that) const { int numerator = this->n * that.n; int denominator = this->d * that.d; fraction q(numerator, denominator); return q; } - fraction operator/(const fraction &that) { + fraction operator*(const int i) const { + fraction a(i); + fraction q(*this * a); + return q; + } + fraction operator/(const fraction &that) const { fraction a(this->n,this->d); fraction b(that.d,that.n); return a * b; @@ -61,9 +105,53 @@ class fraction { friend ostream &operator<<( ostream &os, const fraction &q ) { if( q.d == q.n) { os << 1; + } else if(q.d == 1) { + os << q.n; } else { os << q.n << '/' << q.d; } return os; } + void operator=(const fraction &q ) { + n = q.n; + d = q.n; + } + void operator=(const int i ) { + n = i; + d = 1; + } + void operator=(const double dec ) { + const fraction q(dec); + *this = q; + } + bool operator>(const fraction &q ) const { + int hcf = gcd(d,q.d); + fraction a(*this * hcf); + fraction b(q * hcf); + return (a.n > b.n); + } + bool operator>(const int i ) const { + fraction q(i); + return (*this > q); + } + bool operator==(const fraction &q ) const { + return ((n == q.n) && (d == q.d)); + } + bool operator==(const int i) const { + return ((n == i) && (d == 1)); + } + bool operator==(const double dec) const { + fraction a(dec); + return ((n == a.n) && (d == a.d)); + } + bool operator!=(const fraction &q ) const { + return ((n != q.n) || (d != q.d)); + } + bool operator!=(const int i) const { + return ((n != i) || (d != 1)); + } + bool operator!=(const double dec) const { + fraction a(dec); + return ((n != a.n) || (d != a.d)); + } }; diff --git a/fractions.hpp.gch b/fractions.hpp.gch deleted 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z&+aZgKJLPw;i1p-wV?9V?I5@5aIXE@^y$et|oycc*3Hu`T;Ct16{5X(=~tiIwtLvkHanKgKC^+!x8U*lL)rIw`Q11;vE~P#J+0u^ z@fnqGMg6adxoo|@&X%m?h$iFuo?9xe-?lb~3NM;zHD5%JKR&KX;)gZQ%(-(iF@6Wyu^P2iF(nczyGI znKN4bxm{!5Yd7|6mF2(VRh6dg#`w1{R9_Pm@Z5h@;WH(d%y{PjwLid~XYlPxuTzD~ zE&KXmy55r>Y&)9Pt~=R32dhDDZtwcdx|cjP;ZoD%_siv&Bd%ZQM6_zp+D0iq9y{`O zg`!hy*U0%Nwf_T0I)BLAtbGe!?t8J<@}a#JHNvAt(~cB{ntO)Z7o@y5?c1IGyA9i! zYNWV7J&x#MQHjx_JTyS1Ilui{ElVBUyZ0TuJM3eR6`XgrKtQm zu3zQGWy!niYW;c5ugojje8~IdL^-a{qq0TyI+A1Q?=uTz&Rl74$D5)&6Xf2BebH_4 zgX^^_7ar0jSDxNt{k)zR%17-Q)H-V8?(}n4EgQDz>Xcj5{sykk?Ji_~cSc5SY2$pi z+GJ~#Qmjum@%Y|0_FC_JC7;xrFyO_M5#z^-_P3B zKAnFoq{QSpPd28{D9+FKvApNR+F>^`Z!KjTa{PFKW@~y<{6F(RZt#Z2!4(U?7ct~v z21}(TyZTc31KfX`*Po2Zl44iH6U&Ci8v~ZPsQd|D-+$G-&W0}clH_a@_4M!5-79@U zcO?fA%}%HVw;s zyL++Qbqc>fui%FKbHAbT*wm1_`PZEWvxjxwS9D3;%vZvWi1T|aK8e~>IaQw>f32QW R Date: Sat, 18 Apr 2020 16:43:24 +0200 Subject: [PATCH 04/12] Much better gcd, actual Euclids algorithm --- fractions.hpp | 29 +++++++++++++---------------- 1 file changed, 13 insertions(+), 16 deletions(-) diff --git a/fractions.hpp b/fractions.hpp index 5422bac..9be2491 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -5,23 +5,13 @@ using namespace std; class fraction { private: - int n, d; + signed int n = 0; + signed int d = 0; int gcd (int a, int b) const { - if (a == 0) { - return b; - } if (b == 0) { return a; } - if (a == b) { - return a; - } - - if (a > b) { - return gcd(a-b, b); - } - - return gcd(a, b-a); + return gcd(b, a % b); } int get_precision(double a) { string s = to_string(a); @@ -73,6 +63,12 @@ class fraction { bool sign() const { return (n >= 0); } + int get_n() const{ + return n; + } + int get_d() const{ + return d; + } // Operators fraction operator+(const fraction &that) const { int numerator = this->n * that.d + that.n * this->d; @@ -93,8 +89,9 @@ class fraction { return q; } fraction operator*(const int i) const { - fraction a(i); - fraction q(*this * a); + int numerator = this->n * i; + int denominator = this->d; + fraction q(numerator, denominator); return q; } fraction operator/(const fraction &that) const { @@ -114,7 +111,7 @@ class fraction { } void operator=(const fraction &q ) { n = q.n; - d = q.n; + d = q.d; } void operator=(const int i ) { n = i; From d534e766a33ea62b79ab2351fabc4fccbe0e764c Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sat, 18 Apr 2020 16:51:02 +0200 Subject: [PATCH 05/12] Update readme --- README.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 2351385..98f130c 100644 --- a/README.md +++ b/README.md @@ -1 +1,4 @@ -# fractions +git clone https://github.com/mickenordin/fractions.git +cd fractions +g++ -o fractions fractions.cpp +./fractions From b6c090f411b0a6848f6c2b8dff9d8982a95d6e89 Mon Sep 17 00:00:00 2001 From: Mikael Nordin Date: Sat, 18 Apr 2020 16:55:33 +0200 Subject: [PATCH 06/12] Update README.md --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index 98f130c..f4f7211 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,6 @@ +```bash git clone https://github.com/mickenordin/fractions.git cd fractions g++ -o fractions fractions.cpp ./fractions +``` From ef7fbc5ae8a50fac3eaad547671fb1cc34329f32 Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sun, 19 Apr 2020 22:21:13 +0200 Subject: [PATCH 07/12] Switch to long long --- fractions.cpp | 8 ++++ fractions.hpp | 115 +++++++++++++++++++++++++++++--------------------- 2 files changed, 75 insertions(+), 48 deletions(-) diff --git a/fractions.cpp b/fractions.cpp index 6b04774..ea490af 100644 --- a/fractions.cpp +++ b/fractions.cpp @@ -11,11 +11,19 @@ int main() { fraction q(a,b); fraction q2(c,d); fraction q3(e); + cout.precision(10); cout << a << "/" << b << '=' << q << endl; + cout << a << "/" << b << '=' << q.to_double() << endl; + cout << c << "/" << d << '=' << q2 << endl; + cout << c << "/" << d << '=' << q2.to_double() << endl; cout << q << "+" << q2 << '=' << q + q2 << endl; + cout << q << "+" << q2 << '=' << (q + q2).to_double() << endl; cout << q << "-" << q2 << '=' << q - q2 << endl; + cout << q << "-" << q2 << '=' << (q - q2).to_double() << endl; cout << q << "*" << q2 << '=' << q * q2 << endl; + cout << q << "*" << q2 << '=' << (q * q2).to_double() << endl; cout << q << "/" << q2 << '=' << q / q2 << endl; + cout << q << "/" << q2 << '=' << (q / q2).to_double() << endl; cout << e << '=' << q3 << endl; return 0; } diff --git a/fractions.hpp b/fractions.hpp index 9be2491..cf70536 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -5,9 +5,9 @@ using namespace std; class fraction { private: - signed int n = 0; - signed int d = 0; - int gcd (int a, int b) const { + signed long long n = 0; + signed long long d = 1; + signed long long gcd (signed long long a, signed long long b) const { if (b == 0) { return a; } @@ -15,13 +15,18 @@ class fraction { } int get_precision(double a) { string s = to_string(a); - bool dec = false; + int i = s.length() - 1; + while (s[i] == '0'){ + i--; + } + s.erase(i+1,s.length()); + bool point = false; int count = 0; for(int i = 0; i < s.length(); i++) { if(s[i] == '.') { - dec = true; + point = true; } else { - if(dec) { + if(point) { count++; } } @@ -31,66 +36,77 @@ class fraction { public: // Constructors fraction() { - n = 0; - d = 1; + } + fraction(const fraction &q) { + signed long long hcf = gcd(q.n,q.d); + n = q.n / hcf; + d = q.d / hcf; + } + fraction(signed long long a, signed long long b) { + signed long long hcf = gcd(a,b); + n = a / hcf; + d = b / hcf; } fraction(int a, int b) { - int hcf = gcd(a,b); - n = a / hcf; - d = b / hcf; + signed long long hcf = gcd(a,b); + n = (signed long long) a / hcf; + d = (signed long long) b / hcf; } fraction(int a) { - n = a; - d = 1; + fraction q(a, 1); + n = q.n; + d = q.d; } fraction(double dec) { + if(dec < 0) { + dec = dec * (double) -1; + } int precision = get_precision(dec); - int denominator = 1; + signed long long denominator = 1; for(int i = 0; i < precision; i++) { denominator *= 10; } - int numerator = dec * denominator; - int hcf = gcd(numerator,denominator); - n = numerator / hcf; - d = denominator / hcf; - } - fraction(const fraction &q) { - int hcf = gcd(q.n,q.d); - n = q.n / hcf; - d = q.d / hcf; + signed long long numerator = dec * denominator; + fraction q(numerator, denominator); + n = q.n; + d = q.d; } // Member functions - bool sign() const { - return (n >= 0); + int get_sign() const { + return (!(n >= 0) != !(d >=0)) ? -1 : 1; } - int get_n() const{ + signed long long get_n() const { return n; } - int get_d() const{ + signed long long get_d() const { return d; } + double to_double() const { + double dec = (double) n / (double) d ; + return dec; + } // Operators fraction operator+(const fraction &that) const { - int numerator = this->n * that.d + that.n * this->d; - int denominator = this->d * that.d; + signed long long numerator = this->n * that.d + that.n * this->d; + signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator-(const fraction &that) const { - int numerator = this->n * that.d - that.n * this->d; - int denominator = this->d * that.d; + signed long long numerator = this->n * that.d - that.n * this->d; + signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator*(const fraction &that) const { - int numerator = this->n * that.n; - int denominator = this->d * that.d; + signed long long numerator = this->n * that.n; + signed long long denominator = this->d * that.d; fraction q(numerator, denominator); return q; } fraction operator*(const int i) const { - int numerator = this->n * i; - int denominator = this->d; + signed long long numerator = this->n * i; + signed long long denominator = this->d; fraction q(numerator, denominator); return q; } @@ -105,7 +121,7 @@ class fraction { } else if(q.d == 1) { os << q.n; } else { - os << q.n << '/' << q.d; + os << '(' << q.n << '/' << q.d << ')'; } return os; } @@ -114,15 +130,16 @@ class fraction { d = q.d; } void operator=(const int i ) { - n = i; - d = 1; + n = (signed long long) i; + d = (signed long long) 1; } void operator=(const double dec ) { const fraction q(dec); - *this = q; + n = q.n; + d = q.d; } bool operator>(const fraction &q ) const { - int hcf = gcd(d,q.d); + signed long long hcf = gcd(d,q.d); fraction a(*this * hcf); fraction b(q * hcf); return (a.n > b.n); @@ -132,23 +149,25 @@ class fraction { return (*this > q); } bool operator==(const fraction &q ) const { - return ((n == q.n) && (d == q.d)); + return ((n == q.n) && (d == q.d) ); } bool operator==(const int i) const { - return ((n == i) && (d == 1)); + fraction q(i); + return (*this == q); } bool operator==(const double dec) const { - fraction a(dec); - return ((n == a.n) && (d == a.d)); + fraction q(dec); + return (*this == q); } bool operator!=(const fraction &q ) const { - return ((n != q.n) || (d != q.d)); + return ( (n != q.n) || (d != q.d) ); } bool operator!=(const int i) const { - return ((n != i) || (d != 1)); + fraction q(i); + return (*this != q); } bool operator!=(const double dec) const { - fraction a(dec); - return ((n != a.n) || (d != a.d)); + fraction q(dec); + return (*this != q); } }; From 6924ce60316afa17f0b91d034b2fb061b6698837 Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sun, 19 Apr 2020 22:54:13 +0200 Subject: [PATCH 08/12] Fix output and mov sign out front --- fractions.hpp | 23 +++++++++++++++++------ 1 file changed, 17 insertions(+), 6 deletions(-) diff --git a/fractions.hpp b/fractions.hpp index cf70536..9beb260 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -58,9 +58,6 @@ class fraction { d = q.d; } fraction(double dec) { - if(dec < 0) { - dec = dec * (double) -1; - } int precision = get_precision(dec); signed long long denominator = 1; for(int i = 0; i < precision; i++) { @@ -116,12 +113,26 @@ class fraction { return a * b; } friend ostream &operator<<( ostream &os, const fraction &q ) { + signed long long num = q.n; + signed long long den = q.d; + string s = ""; + if(q.n < 0) { + s = "-"; + num = num * -1; + } + if(q.d < 0) { + s = "-"; + den = den * -1; + } + if(q.get_sign() == 1) { + string s = ""; + } if( q.d == q.n) { - os << 1; + os << s << 1; } else if(q.d == 1) { - os << q.n; + os << s << num; } else { - os << '(' << q.n << '/' << q.d << ')'; + os << s << '(' << num << '/' << den << ')'; } return os; } From 769df79c250d38c51154465b4d3cad0df312547d Mon Sep 17 00:00:00 2001 From: Mikael Nordin Date: Sun, 19 Apr 2020 23:01:08 +0200 Subject: [PATCH 09/12] Update README.md --- README.md | 20 ++++++++++++++++++++ 1 file changed, 20 insertions(+) diff --git a/README.md b/README.md index f4f7211..12d60df 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,26 @@ +**Compile and run** ```bash git clone https://github.com/mickenordin/fractions.git cd fractions g++ -o fractions fractions.cpp ./fractions ``` + +**Output** + +``` +a = 3+2i +a* = 3-2i +a*a* = 13 +b = 4-3i +b* = 4+3i +b*b* = 25 +a + b = 7-i +(a + b)* = 7+i +a - b = -1+5i +(a - b)* = -1-5i +a * b = 18-i +(a * b)* = 18+i +a / b = (6/25)+(17/25)i +(a / b)* = (6/25)-(17/25)i +``` From 9b84ecf85c58e98edbbb40e954e824848fc6e24c Mon Sep 17 00:00:00 2001 From: Mikael Nordin Date: Sun, 19 Apr 2020 23:02:13 +0200 Subject: [PATCH 10/12] Update README.md --- README.md | 27 +++++++++++++-------------- 1 file changed, 13 insertions(+), 14 deletions(-) diff --git a/README.md b/README.md index 12d60df..63fad57 100644 --- a/README.md +++ b/README.md @@ -9,18 +9,17 @@ g++ -o fractions fractions.cpp **Output** ``` -a = 3+2i -a* = 3-2i -a*a* = 13 -b = 4-3i -b* = 4+3i -b*b* = 25 -a + b = 7-i -(a + b)* = 7+i -a - b = -1+5i -(a - b)* = -1-5i -a * b = 18-i -(a * b)* = 18+i -a / b = (6/25)+(17/25)i -(a / b)* = (6/25)-(17/25)i +7/3=(7/3) +7/3=2.333333333 +1/11=(1/11) +1/11=0.09090909091 +(7/3)+(1/11)=(80/33) +(7/3)+(1/11)=2.424242424 +(7/3)-(1/11)=(74/33) +(7/3)-(1/11)=2.242424242 +(7/3)*(1/11)=(7/33) +(7/3)*(1/11)=0.2121212121 +(7/3)/(1/11)=(77/3) +(7/3)/(1/11)=25.66666667 +0.75=(3/4) ``` From 8dda4fe71bb0d2bb90371d2c730e29af2fe2ccef Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sat, 16 Jul 2022 11:55:02 +0200 Subject: [PATCH 11/12] Pragma once --- fractions.hpp | 1 + 1 file changed, 1 insertion(+) diff --git a/fractions.hpp b/fractions.hpp index 9beb260..309bf21 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -1,3 +1,4 @@ +#pragma once #include #include From aec0995aafcd013ea2f57e1416aba723359d1a6e Mon Sep 17 00:00:00 2001 From: Micke Nordin Date: Sat, 16 Jul 2022 12:58:57 +0200 Subject: [PATCH 12/12] Indentation --- fractions.hpp | 348 +++++++++++++++++++++++++------------------------- 1 file changed, 171 insertions(+), 177 deletions(-) diff --git a/fractions.hpp b/fractions.hpp index 309bf21..e830627 100644 --- a/fractions.hpp +++ b/fractions.hpp @@ -5,181 +5,175 @@ using namespace std; class fraction { - private: - signed long long n = 0; - signed long long d = 1; - signed long long gcd (signed long long a, signed long long b) const { - if (b == 0) { - return a; - } - return gcd(b, a % b); - } - int get_precision(double a) { - string s = to_string(a); - int i = s.length() - 1; - while (s[i] == '0'){ - i--; - } - s.erase(i+1,s.length()); - bool point = false; - int count = 0; - for(int i = 0; i < s.length(); i++) { - if(s[i] == '.') { - point = true; - } else { - if(point) { - count++; - } - } - } - return count; - } - public: - // Constructors - fraction() { - } - fraction(const fraction &q) { - signed long long hcf = gcd(q.n,q.d); - n = q.n / hcf; - d = q.d / hcf; - } - fraction(signed long long a, signed long long b) { - signed long long hcf = gcd(a,b); - n = a / hcf; - d = b / hcf; - } - fraction(int a, int b) { - signed long long hcf = gcd(a,b); - n = (signed long long) a / hcf; - d = (signed long long) b / hcf; - } - fraction(int a) { - fraction q(a, 1); - n = q.n; - d = q.d; - } - fraction(double dec) { - int precision = get_precision(dec); - signed long long denominator = 1; - for(int i = 0; i < precision; i++) { - denominator *= 10; - } - signed long long numerator = dec * denominator; - fraction q(numerator, denominator); - n = q.n; - d = q.d; - } - // Member functions - int get_sign() const { - return (!(n >= 0) != !(d >=0)) ? -1 : 1; - } - signed long long get_n() const { - return n; - } - signed long long get_d() const { - return d; - } - double to_double() const { - double dec = (double) n / (double) d ; - return dec; - } - // Operators - fraction operator+(const fraction &that) const { - signed long long numerator = this->n * that.d + that.n * this->d; - signed long long denominator = this->d * that.d; - fraction q(numerator, denominator); - return q; - } - fraction operator-(const fraction &that) const { - signed long long numerator = this->n * that.d - that.n * this->d; - signed long long denominator = this->d * that.d; - fraction q(numerator, denominator); - return q; - } - fraction operator*(const fraction &that) const { - signed long long numerator = this->n * that.n; - signed long long denominator = this->d * that.d; - fraction q(numerator, denominator); - return q; - } - fraction operator*(const int i) const { - signed long long numerator = this->n * i; - signed long long denominator = this->d; - fraction q(numerator, denominator); - return q; - } - fraction operator/(const fraction &that) const { - fraction a(this->n,this->d); - fraction b(that.d,that.n); - return a * b; - } - friend ostream &operator<<( ostream &os, const fraction &q ) { - signed long long num = q.n; - signed long long den = q.d; - string s = ""; - if(q.n < 0) { - s = "-"; - num = num * -1; - } - if(q.d < 0) { - s = "-"; - den = den * -1; - } - if(q.get_sign() == 1) { - string s = ""; - } - if( q.d == q.n) { - os << s << 1; - } else if(q.d == 1) { - os << s << num; - } else { - os << s << '(' << num << '/' << den << ')'; - } - return os; - } - void operator=(const fraction &q ) { - n = q.n; - d = q.d; - } - void operator=(const int i ) { - n = (signed long long) i; - d = (signed long long) 1; - } - void operator=(const double dec ) { - const fraction q(dec); - n = q.n; - d = q.d; - } - bool operator>(const fraction &q ) const { - signed long long hcf = gcd(d,q.d); - fraction a(*this * hcf); - fraction b(q * hcf); - return (a.n > b.n); - } - bool operator>(const int i ) const { - fraction q(i); - return (*this > q); - } - bool operator==(const fraction &q ) const { - return ((n == q.n) && (d == q.d) ); - } - bool operator==(const int i) const { - fraction q(i); - return (*this == q); - } - bool operator==(const double dec) const { - fraction q(dec); - return (*this == q); - } - bool operator!=(const fraction &q ) const { - return ( (n != q.n) || (d != q.d) ); - } - bool operator!=(const int i) const { - fraction q(i); - return (*this != q); - } - bool operator!=(const double dec) const { - fraction q(dec); - return (*this != q); - } +private: + signed long long n = 0; + signed long long d = 1; + signed long long gcd(signed long long a, signed long long b) const { + if (b == 0) { + return a; + } + return gcd(b, a % b); + } + int get_precision(double a) { + string s = to_string(a); + int i = s.length() - 1; + while (s[i] == '0') { + i--; + } + s.erase(i + 1, s.length()); + bool point = false; + int count = 0; + for (int i = 0; i < s.length(); i++) { + if (s[i] == '.') { + point = true; + } else { + if (point) { + count++; + } + } + } + return count; + } + +public: + // Constructors + fraction() {} + fraction(const fraction &q) { + signed long long hcf = gcd(q.n, q.d); + n = q.n / hcf; + d = q.d / hcf; + } + fraction(signed long long a, signed long long b) { + signed long long hcf = gcd(a, b); + n = a / hcf; + d = b / hcf; + } + fraction(int a, int b) { + signed long long hcf = gcd(a, b); + n = (signed long long)a / hcf; + d = (signed long long)b / hcf; + } + fraction(int a) { + fraction q(a, 1); + n = q.n; + d = q.d; + } + fraction(double dec) { + int precision = get_precision(dec); + signed long long denominator = 1; + for (int i = 0; i < precision; i++) { + denominator *= 10; + } + signed long long numerator = dec * denominator; + fraction q(numerator, denominator); + n = q.n; + d = q.d; + } + // Member functions + int get_sign() const { return (!(n >= 0) != !(d >= 0)) ? -1 : 1; } + signed long long get_n() const { return n; } + signed long long get_d() const { return d; } + double to_double() const { + double dec = (double)n / (double)d; + return dec; + } + // Operators + fraction operator+(const fraction &that) const { + signed long long numerator = this->n * that.d + that.n * this->d; + signed long long denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator-(const fraction &that) const { + signed long long numerator = this->n * that.d - that.n * this->d; + signed long long denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator*(const fraction &that) const { + signed long long numerator = this->n * that.n; + signed long long denominator = this->d * that.d; + fraction q(numerator, denominator); + return q; + } + fraction operator*(const int i) const { + signed long long numerator = this->n * i; + signed long long denominator = this->d; + fraction q(numerator, denominator); + return q; + } + fraction operator/(const fraction &that) const { + fraction a(this->n, this->d); + fraction b(that.d, that.n); + return a * b; + } + friend ostream &operator<<(ostream &os, const fraction &q) { + signed long long num = q.n; + signed long long den = q.d; + string s = ""; + if (q.n < 0) { + s = "-"; + num = num * -1; + } + if (q.d < 0) { + s = "-"; + den = den * -1; + } + if (q.get_sign() == 1) { + string s = ""; + } + if (q.d == q.n) { + os << s << 1; + } else if (q.d == 1) { + os << s << num; + } else { + os << s << '(' << num << '/' << den << ')'; + } + return os; + } + void operator=(const fraction &q) { + n = q.n; + d = q.d; + } + void operator=(const int i) { + n = (signed long long)i; + d = (signed long long)1; + } + void operator=(const double dec) { + const fraction q(dec); + n = q.n; + d = q.d; + } + bool operator>(const fraction &q) const { + signed long long hcf = gcd(d, q.d); + fraction a(*this * hcf); + fraction b(q * hcf); + return (a.n > b.n); + } + bool operator>(const int i) const { + fraction q(i); + return (*this > q); + } + bool operator==(const fraction &q) const { + return ((n == q.n) && (d == q.d)); + } + bool operator==(const int i) const { + fraction q(i); + return (*this == q); + } + bool operator==(const double dec) const { + fraction q(dec); + return (*this == q); + } + bool operator!=(const fraction &q) const { + return ((n != q.n) || (d != q.d)); + } + bool operator!=(const int i) const { + fraction q(i); + return (*this != q); + } + bool operator!=(const double dec) const { + fraction q(dec); + return (*this != q); + } };

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