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// abstraction of rational
//
#include "math.h"
#include "stdint.h"
#include "stdio.h"
#include "stdlib.h"
typedef struct {
int numerator; // 分子
int denominator; // 分母
} rational;
rational make_rational(int a, int b) {
if ((a * b < 0)) {
a = -abs(a);
b = abs(b);
} else {
a = abs(a);
b = abs(b);
}
rational r = {a, b};
return r;
}
int gcd(int a, int b) {
a = abs(a);
b = abs(b);
int max_ab = a > b ? a : b;
int min_ab = a > b ? b : a;
if (min_ab == 0) {
return max_ab;
} else {
return gcd(min_ab, max_ab % min_ab);
}
}
rational reduction(rational r) {
int a = r.numerator;
int b = r.denominator;
int gcd_ab = gcd(a, b);
rational k = {a / gcd_ab, b / gcd_ab};
return k;
}
void printf_rational(rational r) {
if (r.denominator == 0) {
printf("infinity\n");
} else if (r.denominator == 1) {
printf("%d\n", r.numerator);
} else {
printf("%d/%d\n", r.numerator, r.denominator);
}
}
rational mux_rational(rational r1, rational r2) {
int a = r1.numerator * r2.denominator + r2.numerator * r1.denominator;
int b = r1.denominator * r2.denominator;
rational r = {a, b};
return reduction(r);
}
rational sub_rational(rational r1, rational r2) {
int a = r1.numerator * r2.denominator - r2.numerator * r1.denominator;
int b = r1.denominator * r2.denominator;
rational r = {a, b};
return reduction(r);
}
rational mul_rational(rational r1, rational r2) {
int a = r1.numerator * r2.numerator;
int b = r1.denominator * r2.denominator;
rational r = {a, b};
return reduction(r);
}
rational div_rational(rational r1, rational r2) {
int a = r1.numerator * r2.denominator;
int b = r1.denominator * r2.numerator;
rational r = {a, b};
return reduction(r);
}
int main(int argc, char *argv[]) {
rational r1 = make_rational(1, -8);
rational r2 = make_rational(1, 8);
printf_rational(mux_rational(r1, r2));
printf_rational(sub_rational(r1, r2));
printf_rational(mul_rational(r1, r2));
printf_rational(div_rational(r1, r2));
return EXIT_SUCCESS;
}
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