Laborator1 Numere Complexe

complex.c

/*
Numere complexe:
parte reala
parte imaginara

z1 = a + bi
z2 = c + di 

unhde i^1 = -1

adunare
z1 + z2 = (a + c) + (b + d)i


scadere
z1 - z2 = (a - c) + (b - d)i

inmultire:

z1 * z2 = (a+bi)(c+di)=

ac + adi + bci + bdi^2


(ac - bd) + (ad + bc)i    

impartire:

a + bi  c - di
------ 
c + di  c - di


ac + bd        bc - ad 
--------  +   ---------  i
                
c^2 + d^2     c^2 + d^2

z1 = a + bi
z2 = c + di 


//////////////////////////////////////

z1 = a->re + a->im
z2 = b->re + b->im

//////////////////////////////////////



*/

#include <stdio.h>

typedef struct {

 float re;//parte reala
 float im;//parte imaginara

} COMPLEX;

void adunare(const COMPLEX *a, const COMPLEX *b, COMPLEX *c) {

        c->re = a->re + b->re;
        c->im = a->im + b->im;

}


void scadere(const COMPLEX *a, const COMPLEX *b, COMPLEX *c) {

        c->re = a->re - b->re;
        c->im = a->im - b->im;
}


//
void inmultire(const COMPLEX *a, const COMPLEX *b, COMPLEX *c) {


	 float re = a->re * b->re - a->im * b->im;
	 float im = a->re * b->im + a->im * b->re;

	 c->re = re;
	 c->im = im;

}

int impartire(const COMPLEX *a, const COMPLEX *b, COMPLEX *c) {

	float x = b->re * b->re + b->im * b->im;

	if(x == 0) {

		return 1;
	}

	c->re = (a->re * b->re + a->im * b->im)/ x;

	c->im = (a->im * b->re - a->re * b->im)/ x;

	return 0;
}	


int citeste(const char *name, COMPLEX *z) {

    printf("%s.re = ", name);

    if(scanf("%f", &z->re) != 1) {
    	return 0;
    }

    printf("%s.im = ", name);
    if(scanf("%f", &z->im) != 1) {
    	return 0;
    }

    return 1;
}
//                                    +,-,*,/
void afiseaza(const COMPLEX *a, char op, const COMPLEX *b, const COMPLEX *c) {

	printf("\n(%.2f + i*%.2f) %c (%.2f + i*%.2f) = %.2f + i*%.2f\n", a->re, a->im, op, b->re, b->im, c->re, c->im);
}



int main(int argc, char const *argv[])
{
	COMPLEX a, b, c;

	char ch = 'D'; // 

	while(ch == 'D' || ch == 'd') {

           printf("\nIntroduceti primul numar complex\n");

           if(!citeste("a", &a)) {

           	printf("Valoare invalida\n");

           	return 1;
           }

           if(!citeste("b", &b)) {

           	printf("Valoare invalida\n");

           	return 1;
           }

           //&a, &b, &c = adresele variabilelor...functiile lucreaza direct pe ele
           adunare(&a, &b, &c);
           afiseaza(&a, '+', &b, &c);

           scadere(&a, &b, &c);
           afiseaza(&a, '-', &b, &c);

           inmultire(&a, &b, &c);
           afiseaza(&a, '*', &b, &c);

           if(impartire(&a, &b, &c) == 0) {

               afiseaza(&a, '/', &b, &c);

           } else {

           	  printf("\nImpartire la ZERO!\n");
           }


           printf("\nContinuati ? DA = D \n NU = alt caracter: ");
           if(scanf(" %c", &ch) != 1) {
            	ch = 'n';
           }

	}

	return 0;
}

/*
ADT
Fractie

f1 = 
f2 = 

typedef struct  {
	 int numarator;
	 int numitor;

} FRACTIE

FRACTIE f1, f2

citeste(&f1)
citeste(&f2)
adunare(&f1,&f2,&f3)
afisare()
scadere(&f1,&f2,&f3)
afisare()
inmultire(&f1,&f2,&f3)
afisare()
impatire(&f1,&f2,&f3)

*/