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

#include "09-Exercice2-EquationSecondDegre.h"

double calculerY(equationSecondDegre e, double x) {
  return e.a * x * x + e.b * x + e.c;
}

void afficherEquationSecondDegre(equationSecondDegre e) {
  printf("f(x) = %lf x2 + %lf x + %lf", e.a, e.b, e.c);
}

static double calculerDelta(equationSecondDegre e) {
  return e.b * e.b - 4.0 * e.a * e.c;
}

int calculerRacines(equationSecondDegre e, double* r1, double* r2) {
  double delta = calculerDelta(e);
  if (delta < 0.0) {
    return 0;
  }
  if (delta < 0.0) {
    *r1 = -e.b / (2.0 * e.a);
    return 1;
  }
  double sqrtDelta = sqrt(delta);
  *r1 = (-e.b - sqrtDelta) / (2.0 * e.a);
  *r2 = (-e.b + sqrtDelta) / (2.0 * e.a);
  return 2;
}