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mpi-genesis~            1 /* mpihelp_udiv_w_sdiv -- implement udiv_qrnnd on machines with only signed
mpi-genesis~ 2 * division.
mpi-genesis~ 3 * Copyright (C) 1992, 1994, 1996, 1998 Free Software Foundation, Inc.
mpi-genesis~ 4 * Contributed by Peter L. Montgomery.
mpi-genesis~ 5 *
mpi-genesis~ 6 * This file is part of GnuPG.
mpi-genesis~ 7 *
mpi-genesis~ 8 * GnuPG is free software; you can redistribute it and/or modify
mpi-genesis~ 9 * it under the terms of the GNU General Public License as published by
mpi-genesis~ 10 * the Free Software Foundation; either version 3 of the License, or
mpi-genesis~ 11 * (at your option) any later version.
mpi-genesis~ 12 *
mpi-genesis~ 13 * GnuPG is distributed in the hope that it will be useful,
mpi-genesis~ 14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
mpi-genesis~ 15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
mpi-genesis~ 16 * GNU General Public License for more details.
mpi-genesis~ 17 *
mpi-genesis~ 18 * You should have received a copy of the GNU General Public License
mpi-genesis~ 19 * along with this program; if not, see <http://www.gnu.org/licenses/>.
mpi-genesis~ 20 */
mpi-genesis~ 21
mpi-genesis~ 22 #include <config.h>
mpi-genesis~ 23 #include <stdio.h>
mpi-genesis~ 24 #include <stdlib.h>
mpi-genesis~ 25 #include "mpi-internal.h"
mpi-genesis~ 26 #include "longlong.h"
mpi-genesis~ 27
mpi-genesis~ 28
mpi-genesis~ 29 #if 0 /* not yet ported to MPI */
mpi-genesis~ 30
mpi-genesis~ 31 mpi_limb_t
mpi-genesis~ 32 mpihelp_udiv_w_sdiv( mpi_limp_t *rp,
mpi-genesis~ 33 mpi_limp_t *a1,
mpi-genesis~ 34 mpi_limp_t *a0,
mpi-genesis~ 35 mpi_limp_t *d )
mpi-genesis~ 36 {
mpi-genesis~ 37 mp_limb_t q, r;
mpi-genesis~ 38 mp_limb_t c0, c1, b1;
mpi-genesis~ 39
mpi-genesis~ 40 if ((mpi_limb_signed_t) d >= 0)
mpi-genesis~ 41 {
mpi-genesis~ 42 if (a1 < d - a1 - (a0 >> (BITS_PER_MP_LIMB - 1)))
mpi-genesis~ 43 {
mpi-genesis~ 44 /* dividend, divisor, and quotient are nonnegative */
mpi-genesis~ 45 sdiv_qrnnd (q, r, a1, a0, d);
mpi-genesis~ 46 }
mpi-genesis~ 47 else
mpi-genesis~ 48 {
mpi-genesis~ 49 /* Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d */
mpi-genesis~ 50 sub_ddmmss (c1, c0, a1, a0, d >> 1, d << (BITS_PER_MP_LIMB - 1));
mpi-genesis~ 51 /* Divide (c1*2^32 + c0) by d */
mpi-genesis~ 52 sdiv_qrnnd (q, r, c1, c0, d);
mpi-genesis~ 53 /* Add 2^31 to quotient */
mpi-genesis~ 54 q += (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1);
mpi-genesis~ 55 }
mpi-genesis~ 56 }
mpi-genesis~ 57 else
mpi-genesis~ 58 {
mpi-genesis~ 59 b1 = d >> 1; /* d/2, between 2^30 and 2^31 - 1 */
mpi-genesis~ 60 c1 = a1 >> 1; /* A/2 */
mpi-genesis~ 61 c0 = (a1 << (BITS_PER_MP_LIMB - 1)) + (a0 >> 1);
mpi-genesis~ 62
mpi-genesis~ 63 if (a1 < b1) /* A < 2^32*b1, so A/2 < 2^31*b1 */
mpi-genesis~ 64 {
mpi-genesis~ 65 sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
mpi-genesis~ 66
mpi-genesis~ 67 r = 2*r + (a0 & 1); /* Remainder from A/(2*b1) */
mpi-genesis~ 68 if ((d & 1) != 0)
mpi-genesis~ 69 {
mpi-genesis~ 70 if (r >= q)
mpi-genesis~ 71 r = r - q;
mpi-genesis~ 72 else if (q - r <= d)
mpi-genesis~ 73 {
mpi-genesis~ 74 r = r - q + d;
mpi-genesis~ 75 q--;
mpi-genesis~ 76 }
mpi-genesis~ 77 else
mpi-genesis~ 78 {
mpi-genesis~ 79 r = r - q + 2*d;
mpi-genesis~ 80 q -= 2;
mpi-genesis~ 81 }
mpi-genesis~ 82 }
mpi-genesis~ 83 }
mpi-genesis~ 84 else if (c1 < b1) /* So 2^31 <= (A/2)/b1 < 2^32 */
mpi-genesis~ 85 {
mpi-genesis~ 86 c1 = (b1 - 1) - c1;
mpi-genesis~ 87 c0 = ~c0; /* logical NOT */
mpi-genesis~ 88
mpi-genesis~ 89 sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
mpi-genesis~ 90
mpi-genesis~ 91 q = ~q; /* (A/2)/b1 */
mpi-genesis~ 92 r = (b1 - 1) - r;
mpi-genesis~ 93
mpi-genesis~ 94 r = 2*r + (a0 & 1); /* A/(2*b1) */
mpi-genesis~ 95
mpi-genesis~ 96 if ((d & 1) != 0)
mpi-genesis~ 97 {
mpi-genesis~ 98 if (r >= q)
mpi-genesis~ 99 r = r - q;
mpi-genesis~ 100 else if (q - r <= d)
mpi-genesis~ 101 {
mpi-genesis~ 102 r = r - q + d;
mpi-genesis~ 103 q--;
mpi-genesis~ 104 }
mpi-genesis~ 105 else
mpi-genesis~ 106 {
mpi-genesis~ 107 r = r - q + 2*d;
mpi-genesis~ 108 q -= 2;
mpi-genesis~ 109 }
mpi-genesis~ 110 }
mpi-genesis~ 111 }
mpi-genesis~ 112 else /* Implies c1 = b1 */
mpi-genesis~ 113 { /* Hence a1 = d - 1 = 2*b1 - 1 */
mpi-genesis~ 114 if (a0 >= -d)
mpi-genesis~ 115 {
mpi-genesis~ 116 q = -1;
mpi-genesis~ 117 r = a0 + d;
mpi-genesis~ 118 }
mpi-genesis~ 119 else
mpi-genesis~ 120 {
mpi-genesis~ 121 q = -2;
mpi-genesis~ 122 r = a0 + 2*d;
mpi-genesis~ 123 }
mpi-genesis~ 124 }
mpi-genesis~ 125 }
mpi-genesis~ 126
mpi-genesis~ 127 *rp = r;
mpi-genesis~ 128 return q;
mpi-genesis~ 129 }
mpi-genesis~ 130
mpi-genesis~ 131 #endif
mpi-genesis~ 132