-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathfraction.cpp
More file actions
226 lines (192 loc) · 5.77 KB
/
fraction.cpp
File metadata and controls
226 lines (192 loc) · 5.77 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
#include <typeinfo>
#include <iostream>
#include <string>
#include <cassert>
class Fraction {
public:
// constructors
Fraction();
Fraction(int x, int y);
Fraction(int x);
Fraction(std::string args);
// operator overloading
Fraction operator+(Fraction f);
Fraction operator-(Fraction f);
Fraction operator*(Fraction f);
Fraction operator/(Fraction f);
void operator=(Fraction f);
bool operator==(Fraction f);
bool operator!=(Fraction f);
bool operator<(Fraction f);
Fraction add(int x);
Fraction subtract(int x);
Fraction multiply(int x);
Fraction divide(int x);
float value();
void string2fraction(std::string args);
std::string fraction2string();
void print();
int get_numerator();
void set_numerator(int x);
int get_denominator();
void set_denominator(int x);
void reduce();
private:
int numerator;
int denominator;
int gcd(int x, int y);
};
Fraction::Fraction() {
this->numerator = 0;
this->denominator = 1;
}
Fraction::Fraction(int x) {
this->numerator = x;
this->denominator = 1;
}
Fraction::Fraction(int x, int y) {
this->numerator = x;
this->denominator = y;
}
Fraction::Fraction(std::string args) {
this->string2fraction(args);
}
Fraction Fraction::operator+(Fraction f){
Fraction temp;
temp.set_numerator(this->numerator * f.get_denominator() + this->denominator * f.get_numerator());
temp.set_denominator(this->denominator * f.get_denominator());
temp.reduce();
return temp;
}
Fraction Fraction::operator-(Fraction f){
Fraction temp;
temp.set_numerator(this->numerator * f.get_denominator() - this->denominator * f.get_numerator());
temp.set_denominator(this->denominator * f.get_denominator());
temp.reduce();
return temp;
}
Fraction Fraction::operator*(Fraction f){
Fraction temp;
temp.set_numerator(this->numerator * f.get_numerator());
temp.set_denominator(this->denominator * f.get_denominator());
temp.reduce();
return temp;
}
Fraction Fraction::operator/(Fraction f){
Fraction temp;
temp.set_numerator(this->numerator * f.get_denominator());
temp.set_denominator(this->denominator * f.get_numerator());
temp.reduce();
return temp;
}
void Fraction::operator=(Fraction f) {
this->numerator = f.get_numerator();
this->denominator = f.get_denominator();
}
bool Fraction::operator==(Fraction f) {
return (this->value() == f.value());
}
bool Fraction::operator!=(Fraction f) {
return (this->value() != f.value());
}
bool Fraction::operator<(Fraction f) {
return (this->value() < f.value());
}
Fraction Fraction::add(int x) {
Fraction temp;
temp.set_numerator(this->numerator + this->denominator * x);
temp.set_denominator(this->denominator);
temp.reduce();
return temp;
}
Fraction Fraction::subtract(int x) {
Fraction temp;
temp.set_numerator(this->numerator - this->denominator * x);
temp.set_denominator(this->denominator);
temp.reduce();
return temp;
}
Fraction Fraction::multiply(int x) {
Fraction temp;
temp.set_numerator(this->numerator * x);
temp.set_denominator(this->denominator);
temp.reduce();
return temp;
}
Fraction Fraction::divide(int x) {
Fraction temp;
temp.set_numerator(this->numerator);
temp.set_denominator(this->denominator * x);
temp.reduce();
return temp;
}
float Fraction::value() {
return (float)this->numerator/this->denominator;
}
void Fraction::string2fraction(std::string args) {
size_t start = args.find("/");
if(start != std::string::npos) { // 1/2 type
this->numerator = std::stoi(args.substr(0, start));
this->denominator = std::stoi(args.substr(start+1));
assert(this->denominator != 0);
this->reduce();
} else { // 1 type
this->numerator = std::stoi(args);
this->denominator = 1;
}
}
std::string Fraction::fraction2string() {
std::string temp = std::to_string(this->numerator);
if(this->denominator != 1) {
temp += "/" + std::to_string(this->denominator);
}
return temp;
}
void Fraction::print() {
std::cout << this->fraction2string();
}
int Fraction::get_numerator() {
return this->numerator;
}
void Fraction::set_numerator(int x) {
this->numerator = x;
}
int Fraction::get_denominator() {
return this->denominator;
}
void Fraction::set_denominator(int x) {
this->denominator = x;
}
void Fraction::reduce() {
int hcf = this->gcd(this->numerator, this->denominator);
this->numerator /= hcf;
this->denominator /= hcf;
// make sure that denominator is always positive
if(this->denominator < 0) {
this->numerator /= -1;
this->denominator /= -1;
}
}
int Fraction::gcd(int x, int y)
{
int r = x % y;
while(r != 0){
x = y;
y = r;
r = x % y;
}
return y;
}
void check_fraction(std::string argv1, std::string argv2) {
Fraction f1(argv1), f2(argv2);
Fraction sum = f1 + f2;
Fraction diff = f1 - f2;
Fraction prod = f1 * f2;
Fraction div = f1 / f2;
std::cout << f1.fraction2string() << " + " << f2.fraction2string() << " = " << sum.fraction2string() << std::endl;
std::cout << f1.fraction2string() << " - " << f2.fraction2string() << " = " << diff.fraction2string() << std::endl;
std::cout << f1.fraction2string() << " * " << f2.fraction2string() << " = " << prod.fraction2string() << std::endl;
std::cout << f1.fraction2string() << " / " << f2.fraction2string() << " = " << div.fraction2string() << std::endl;
f1 = f2;
std::cout << "After performindg f1 = f2, f1 = " << f1.fraction2string() << std::endl;
}