/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

#include "ecl-priv.h"

/* Returns 2^e as an integer. This is meant to be used for small powers of 
 * two. */
int
ec_twoTo(int e)
{
	int a = 1;
	int i;

	for (i = 0; i < e; i++) {
		a *= 2;
	}
	return a;
}

/* Computes the windowed non-adjacent-form (NAF) of a scalar. Out should
 * be an array of signed char's to output to, bitsize should be the number 
 * of bits of out, in is the original scalar, and w is the window size.
 * NAF is discussed in the paper: D. Hankerson, J. Hernandez and A.
 * Menezes, "Software implementation of elliptic curve cryptography over
 * binary fields", Proc. CHES 2000. */
mp_err
ec_compute_wNAF(signed char *out, int bitsize, const mp_int *in, int w)
{
	mp_int k;
	mp_err res = MP_OKAY;
	int i, twowm1, mask;

	twowm1 = ec_twoTo(w - 1);
	mask = 2 * twowm1 - 1;

	MP_DIGITS(&k) = 0;
	MP_CHECKOK(mp_init_copy(&k, in));

	i = 0;
	/* Compute wNAF form */
	while (mp_cmp_z(&k) > 0) {
		if (mp_isodd(&k)) {
			out[i] = MP_DIGIT(&k, 0) & mask;
			if (out[i] >= twowm1)
				out[i] -= 2 * twowm1;

			/* Subtract off out[i].  Note mp_sub_d only works with
			 * unsigned digits */
			if (out[i] >= 0) {
				MP_CHECKOK(mp_sub_d(&k, out[i], &k));
			} else {
				MP_CHECKOK(mp_add_d(&k, -(out[i]), &k));
			}
		} else {
			out[i] = 0;
		}
		MP_CHECKOK(mp_div_2(&k, &k));
		i++;
	}
	/* Zero out the remaining elements of the out array. */
	for (; i < bitsize + 1; i++) {
		out[i] = 0;
	}
  CLEANUP:
	mp_clear(&k);
	return res;

}
