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/*
Copyright (C) 2023 Jean Kieffer
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "acb_theta.h"
slong
acb_theta_jet_index(const slong * tup, slong g)
{
slong ord, res, k;
slong j;
/* Get total derivation order */
ord = acb_theta_jet_total_order(tup, g);
if (ord == 0 || g == 1)
{
return ord;
}
/* Count tuples with smaller total order */
res = acb_theta_jet_nb(ord - 1, g);
for (j = 0; j < g - 1; j++)
{
k = tup[j];
res += acb_theta_jet_nb(ord - k - 1, g - 1 - j);
ord -= k;
}
return res;
}