#include <tommath.h>
#ifdef BN_MP_TOOM_SQR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
 */

/* squaring using Toom-Cook 3-way algorithm */
int mp_toom_sqr(mp_int * a, mp_int * b)
{
	mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2;
	int res, B;

	/* init temps */
	if ((res =
	     mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1,
			   NULL)) != MP_OKAY) {
		return res;
	}

	/* B */
	B = a->used / 3;

	/* a = a2 * B**2 + a1 * B + a0 */
	if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) {
		goto ERR;
	}

	if ((res = mp_copy(a, &a1)) != MP_OKAY) {
		goto ERR;
	}
	mp_rshd(&a1, B);
	mp_mod_2d(&a1, DIGIT_BIT * B, &a1);

	if ((res = mp_copy(a, &a2)) != MP_OKAY) {
		goto ERR;
	}
	mp_rshd(&a2, B * 2);

	/* w0 = a0*a0 */
	if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) {
		goto ERR;
	}

	/* w4 = a2 * a2 */
	if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) {
		goto ERR;
	}

	/* w1 = (a2 + 2(a1 + 2a0))**2 */
	if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) {
		goto ERR;
	}

	if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) {
		goto ERR;
	}

	/* w3 = (a0 + 2(a1 + 2a2))**2 */
	if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
		goto ERR;
	}

	if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) {
		goto ERR;
	}

	/* w2 = (a2 + a1 + a0)**2 */
	if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) {
		goto ERR;
	}

	/* now solve the matrix

	   0  0  0  0  1
	   1  2  4  8  16
	   1  1  1  1  1
	   16 8  4  2  1
	   1  0  0  0  0

	   using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication.
	 */

	/* r1 - r4 */
	if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) {
		goto ERR;
	}
	/* r3 - r0 */
	if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) {
		goto ERR;
	}
	/* r1/2 */
	if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) {
		goto ERR;
	}
	/* r3/2 */
	if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) {
		goto ERR;
	}
	/* r2 - r0 - r4 */
	if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) {
		goto ERR;
	}
	/* r1 - r2 */
	if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
		goto ERR;
	}
	/* r3 - r2 */
	if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
		goto ERR;
	}
	/* r1 - 8r0 */
	if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) {
		goto ERR;
	}
	/* r3 - 8r4 */
	if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) {
		goto ERR;
	}
	/* 3r2 - r1 - r3 */
	if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) {
		goto ERR;
	}
	/* r1 - r2 */
	if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
		goto ERR;
	}
	/* r3 - r2 */
	if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
		goto ERR;
	}
	/* r1/3 */
	if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) {
		goto ERR;
	}
	/* r3/3 */
	if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) {
		goto ERR;
	}

	/* at this point shift W[n] by B*n */
	if ((res = mp_lshd(&w1, 1 * B)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_lshd(&w2, 2 * B)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_lshd(&w3, 3 * B)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_lshd(&w4, 4 * B)) != MP_OKAY) {
		goto ERR;
	}

	if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) {
		goto ERR;
	}
	if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) {
		goto ERR;
	}

ERR:
	mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL);
	return res;
}

#endif

/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */
/* $Revision: 1.4 $ */
/* $Date: 2006/12/28 01:25:13 $ */