#include "hypergeometric_function.h"
#include "helper.h"
#include <cmath>
#include <float.h>
#include <assert.h>


bool hypergeometricFunction(double a, double b, double c, double z, double epsilon, int maxNumberOfIterations, double * result) {
  // TODO Put interruption instead of maxNumberOfIterations
  assert(!std::isnan(a) && !std::isnan(b) && !std::isnan(c) && !std::isnan(z));
  if (z == 0.0) {
    *result = 0.0;
    return true;
  }
  /* For x < s + 1: Compute using the infinite series representation
   * hypergeometricFunction(a,b,c,z) = sum((a)n * (b)n * z^n / ((c)n * n!...)
   * With (a)n = a(a+1)..(a+n-1)*/
  if (std::fabs(z) < 1.0) {
    assert(c > 0.0);
    return Helper::InfiniteSeriesEvaluation(
        1.0,
        [](double previousTerm, double index, double a, double b, double c, double z) { return previousTerm * (a + index - 1) * (b + index - 1) * z / ((c + index - 1) * index); },
        epsilon,
        maxNumberOfIterations,
        result,
        a,
        b,
        c,
        z);
  }
  return NAN; //TODO
}