#include "roots.h"
#include <iostream>

float Roots::Pow(float x, int n) {
  float result = 1;
  for (int i = 0; i < n; i++)
    result = result * x;
  return result;
}

float Roots::Abs(float x) {
  if (x < 0) return -x;
  return x;
}

float Roots::GuessRoot(int n, float x) {
  float finding = 1;
  do { } while (Pow(finding++, n) < x);
  return finding;
}

float Roots::Root(float x, int n) {
  float result = GuessRoot(n, x);
  while(Abs(x - Pow(result, n)) > error_margin)
    result = result - ((Pow(result, n)-x)/(n*Pow(result, n-1)));
  return result;
}

float Roots::SquareRoot(float x) {
  return Root(x,2);
}