#include <stdio.h>
#include <stdlib.h>
#include <math.h>

struct nbrcomplex{

      float x;
      float y;
};

typedef struct nbrcomplex complex;

void afficher(complex z){
  printf("%f + %fi\n", z.x, z.y);
}

float module(complex z){
      float res = sqrt(pow(z.x, 2)+pow(z.y, 2));
      float resrac = pow(res, 0.5);
      return resrac;
}

complex inverse(complex z){
      complex a;
      a.x = z.x/pow(module(z), 2);
      a.y = z.y/pow(module(z), 2);
      return a;
}

complex conjugue(complex z){
      complex b;
      b.x = z.x;
      b.y = -z.y;
      return b;
}

int main(int argc, char const* argv[]){
  complex z = {3,8};
  complex a, b, c;

  afficher(z);

  a = z;
  module(a);
  printf("|z| = %f\n", a);

  b = conjugue(z);
  afficher(b);
  printf("conjugue = %f\n", b);

  c = inverse(z);
  afficher(c);
  return EXIT_SUCCESS;
}