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/*
Copyright (C) 2013 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "arb_poly.h"
void
_arb_poly_borel_transform(arb_ptr res, arb_srcptr poly, slong len, slong prec)
{
slong i;
arb_t t;
arb_init(t);
arb_one(t);
for (i = 0; i < len; i++)
{
if (i > 1)
arb_mul_ui(t, t, i, prec);
arb_div(res + i, poly + i, t, prec);
}
arb_clear(t);
}
void
arb_poly_borel_transform(arb_poly_t res, const arb_poly_t poly, slong prec)
{
arb_poly_fit_length(res, poly->length);
_arb_poly_borel_transform(res->coeffs, poly->coeffs, poly->length, prec);
_arb_poly_set_length(res, poly->length);
_arb_poly_normalise(res);
}
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