Rational Numbers (Abstract Data Type) - DSTC using C Language

Rational Numbers (Abstract Data Type)  Implemented using C Language

Consider the ADT Rational, which is a Mathematical concept of a rational number. A rational number is a number that can be expressed as the quotient of two integers. Operations to be performed for implemented Rational numbers are: Creation of a rational number from two integers (rat *makerat(int a,int b)) Addition Multiplication Testing for Equality

C Language Code:

RATIONAL.H

typedef struct rational { int n; int d; }rat ; rat *makerat(int a,int b) { rat *r ; if (b==0) { printf("\n Den Not allowed as Zero ") ; exit(1); } r = (rat *)malloc(sizeof(rat)) ; r->n = a ; r->d = b ; return (r) ; } rat *sumrat(rat *x, rat *y) { rat *r ; r = (rat *)malloc(sizeof(rat)) ; r->n = (x->n * y->d) + (x->d * y->n) ; r->d = x->d * y->d ; return(r) ; } void killrat(rat *n) { free(n); } void printrat(rat *n) { printf("%d/%d",n->n,n->d); } rat *reducerat(rat *r) { rat *t ; t = (rat *)malloc(sizeof(rat)); t = r ; int i ; if (t->n > t->d) i = t->d; else i = t->n; for(;i>1;i--) { if((t->n%i==0) && (t->d%i==0)) { t->n = t->n/i ; t->d = t->d/i ; } } return(t); }   rat *subtractrat(rat *x, rat *y) { rat *r ; r = (rat *)malloc(sizeof(rat)) ; r->n = (x->n * y->d) - (x->d * y->n); r->d = x->d * y->d ; return(r); } Get Paid by Reading Ads on your Mobiles rat *multiplyrat(rat *x, rat *y) { rat *r ; r = (rat *)malloc(sizeof(rat)) ; r->n = x->n * y->n ; r->d = x->d * y->d ; return(r); } rat *dividerat(rat *x, rat *y) { rat *r ; r = (rat *)malloc(sizeof(rat)) ; r->n = (x->n * y->d) / (x->d * y->n); r->d = 0 ; return(r); } void ratequal(rat *x, rat *y) { if((x->n * y->d)== (x->d * y->n) ) printf("\n\t\tNumbers are Equal") ; else printf("\n\t\tNumbers are NOT Equal") ; }

RATIONAL.CPP

#include <stdio.h> #include <conio.h> #include <stdlib.h> #include <rational.h> void main() { rat *m, *n, *p, *l, *q, *t ; int i,j,k ; clrscr(); printf("\n Enter 1st num and denomentor(n/d):"); scanf("%d/%d",&i,&j); m = makerat(i,j); printf("\n Enter 2st num and denomentor(n/d):"); scanf("%d/%d",&i,&j); n = makerat(i,j); // SUM OF Rational nos. p = sumrat(m,n); printf("\n Display Two Rational No.s sum "); printrat(m) ; printf(" + "); printrat(n) ; printf(" = "); printrat(p) ; t = reducerat(p) ; printf(" = "); printrat(t); //********* SUBSTRATION OF 2 RATIONAL NOS. q = subtractrat(m,n); printf("\n Display Two Rational No.s Subtraction "); printrat(m) ; printf(" - "); printrat(n) ; printf(" = "); printrat(q) ; t = reducerat(q) ; printf(" = "); printrat(t); killrat(m) ; killrat(n) ; killrat(p) ; killrat(l) ; killrat(q) ; killrat(t) ; }