diff options
Diffstat (limited to 'libgcrypt-1.4.6/mpi/mpi-div.c')
-rw-r--r-- | libgcrypt-1.4.6/mpi/mpi-div.c | 716 |
1 files changed, 358 insertions, 358 deletions
diff --git a/libgcrypt-1.4.6/mpi/mpi-div.c b/libgcrypt-1.4.6/mpi/mpi-div.c index 0d8a2d1..e94e531 100644 --- a/libgcrypt-1.4.6/mpi/mpi-div.c +++ b/libgcrypt-1.4.6/mpi/mpi-div.c @@ -1,358 +1,358 @@ -/* mpi-div.c - MPI functions - * Copyright (C) 1994, 1996, 1998, 2001, 2002, - * 2003 Free Software Foundation, Inc. - * - * This file is part of Libgcrypt. - * - * Libgcrypt is free software; you can redistribute it and/or modify - * it under the terms of the GNU Lesser General Public License as - * published by the Free Software Foundation; either version 2.1 of - * the License, or (at your option) any later version. - * - * Libgcrypt is distributed in the hope that it will be useful, - * but WITHOUT ANY WARRANTY; without even the implied warranty of - * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - * GNU Lesser General Public License for more details. - * - * You should have received a copy of the GNU Lesser General Public - * License along with this program; if not, write to the Free Software - * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA - * - * Note: This code is heavily based on the GNU MP Library. - * Actually it's the same code with only minor changes in the - * way the data is stored; this is to support the abstraction - * of an optional secure memory allocation which may be used - * to avoid revealing of sensitive data due to paging etc. - */ - -#include <config.h> -#include <stdio.h> -#include <stdlib.h> -#include "mpi-internal.h" -#include "longlong.h" -#include "g10lib.h" - - -void -_gcry_mpi_fdiv_r( gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor ) -{ - int divisor_sign = divisor->sign; - gcry_mpi_t temp_divisor = NULL; - - /* We need the original value of the divisor after the remainder has been - * preliminary calculated. We have to copy it to temporary space if it's - * the same variable as REM. */ - if( rem == divisor ) { - temp_divisor = mpi_copy( divisor ); - divisor = temp_divisor; - } - - _gcry_mpi_tdiv_r( rem, dividend, divisor ); - - if( ((divisor_sign?1:0) ^ (dividend->sign?1:0)) && rem->nlimbs ) - gcry_mpi_add( rem, rem, divisor); - - if( temp_divisor ) - mpi_free(temp_divisor); -} - - - -/**************** - * Division rounding the quotient towards -infinity. - * The remainder gets the same sign as the denominator. - * rem is optional - */ - -ulong -_gcry_mpi_fdiv_r_ui( gcry_mpi_t rem, gcry_mpi_t dividend, ulong divisor ) -{ - mpi_limb_t rlimb; - - rlimb = _gcry_mpih_mod_1( dividend->d, dividend->nlimbs, divisor ); - if( rlimb && dividend->sign ) - rlimb = divisor - rlimb; - - if( rem ) { - rem->d[0] = rlimb; - rem->nlimbs = rlimb? 1:0; - } - return rlimb; -} - - -void -_gcry_mpi_fdiv_q( gcry_mpi_t quot, gcry_mpi_t dividend, gcry_mpi_t divisor ) -{ - gcry_mpi_t tmp = mpi_alloc( mpi_get_nlimbs(quot) ); - _gcry_mpi_fdiv_qr( quot, tmp, dividend, divisor); - mpi_free(tmp); -} - -void -_gcry_mpi_fdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor ) -{ - int divisor_sign = divisor->sign; - gcry_mpi_t temp_divisor = NULL; - - if( quot == divisor || rem == divisor ) { - temp_divisor = mpi_copy( divisor ); - divisor = temp_divisor; - } - - _gcry_mpi_tdiv_qr( quot, rem, dividend, divisor ); - - if( (divisor_sign ^ dividend->sign) && rem->nlimbs ) { - gcry_mpi_sub_ui( quot, quot, 1 ); - gcry_mpi_add( rem, rem, divisor); - } - - if( temp_divisor ) - mpi_free(temp_divisor); -} - - -/* If den == quot, den needs temporary storage. - * If den == rem, den needs temporary storage. - * If num == quot, num needs temporary storage. - * If den has temporary storage, it can be normalized while being copied, - * i.e no extra storage should be allocated. - */ - -void -_gcry_mpi_tdiv_r( gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den) -{ - _gcry_mpi_tdiv_qr(NULL, rem, num, den ); -} - -void -_gcry_mpi_tdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den) -{ - mpi_ptr_t np, dp; - mpi_ptr_t qp, rp; - mpi_size_t nsize = num->nlimbs; - mpi_size_t dsize = den->nlimbs; - mpi_size_t qsize, rsize; - mpi_size_t sign_remainder = num->sign; - mpi_size_t sign_quotient = num->sign ^ den->sign; - unsigned normalization_steps; - mpi_limb_t q_limb; - mpi_ptr_t marker[5]; - unsigned int marker_nlimbs[5]; - int markidx=0; - - /* Ensure space is enough for quotient and remainder. - * We need space for an extra limb in the remainder, because it's - * up-shifted (normalized) below. */ - rsize = nsize + 1; - mpi_resize( rem, rsize); - - qsize = rsize - dsize; /* qsize cannot be bigger than this. */ - if( qsize <= 0 ) { - if( num != rem ) { - rem->nlimbs = num->nlimbs; - rem->sign = num->sign; - MPN_COPY(rem->d, num->d, nsize); - } - if( quot ) { - /* This needs to follow the assignment to rem, in case the - * numerator and quotient are the same. */ - quot->nlimbs = 0; - quot->sign = 0; - } - return; - } - - if( quot ) - mpi_resize( quot, qsize); - - /* Read pointers here, when reallocation is finished. */ - np = num->d; - dp = den->d; - rp = rem->d; - - /* Optimize division by a single-limb divisor. */ - if( dsize == 1 ) { - mpi_limb_t rlimb; - if( quot ) { - qp = quot->d; - rlimb = _gcry_mpih_divmod_1( qp, np, nsize, dp[0] ); - qsize -= qp[qsize - 1] == 0; - quot->nlimbs = qsize; - quot->sign = sign_quotient; - } - else - rlimb = _gcry_mpih_mod_1( np, nsize, dp[0] ); - rp[0] = rlimb; - rsize = rlimb != 0?1:0; - rem->nlimbs = rsize; - rem->sign = sign_remainder; - return; - } - - - if( quot ) { - qp = quot->d; - /* Make sure QP and NP point to different objects. Otherwise the - * numerator would be gradually overwritten by the quotient limbs. */ - if(qp == np) { /* Copy NP object to temporary space. */ - marker_nlimbs[markidx] = nsize; - np = marker[markidx++] = mpi_alloc_limb_space(nsize, - mpi_is_secure(quot)); - MPN_COPY(np, qp, nsize); - } - } - else /* Put quotient at top of remainder. */ - qp = rp + dsize; - - count_leading_zeros( normalization_steps, dp[dsize - 1] ); - - /* Normalize the denominator, i.e. make its most significant bit set by - * shifting it NORMALIZATION_STEPS bits to the left. Also shift the - * numerator the same number of steps (to keep the quotient the same!). - */ - if( normalization_steps ) { - mpi_ptr_t tp; - mpi_limb_t nlimb; - - /* Shift up the denominator setting the most significant bit of - * the most significant word. Use temporary storage not to clobber - * the original contents of the denominator. */ - marker_nlimbs[markidx] = dsize; - tp = marker[markidx++] = mpi_alloc_limb_space(dsize,mpi_is_secure(den)); - _gcry_mpih_lshift( tp, dp, dsize, normalization_steps ); - dp = tp; - - /* Shift up the numerator, possibly introducing a new most - * significant word. Move the shifted numerator in the remainder - * meanwhile. */ - nlimb = _gcry_mpih_lshift(rp, np, nsize, normalization_steps); - if( nlimb ) { - rp[nsize] = nlimb; - rsize = nsize + 1; - } - else - rsize = nsize; - } - else { - /* The denominator is already normalized, as required. Copy it to - * temporary space if it overlaps with the quotient or remainder. */ - if( dp == rp || (quot && (dp == qp))) { - mpi_ptr_t tp; - - marker_nlimbs[markidx] = dsize; - tp = marker[markidx++] = mpi_alloc_limb_space(dsize, - mpi_is_secure(den)); - MPN_COPY( tp, dp, dsize ); - dp = tp; - } - - /* Move the numerator to the remainder. */ - if( rp != np ) - MPN_COPY(rp, np, nsize); - - rsize = nsize; - } - - q_limb = _gcry_mpih_divrem( qp, 0, rp, rsize, dp, dsize ); - - if( quot ) { - qsize = rsize - dsize; - if(q_limb) { - qp[qsize] = q_limb; - qsize += 1; - } - - quot->nlimbs = qsize; - quot->sign = sign_quotient; - } - - rsize = dsize; - MPN_NORMALIZE (rp, rsize); - - if( normalization_steps && rsize ) { - _gcry_mpih_rshift(rp, rp, rsize, normalization_steps); - rsize -= rp[rsize - 1] == 0?1:0; - } - - rem->nlimbs = rsize; - rem->sign = sign_remainder; - while( markidx ) - { - markidx--; - _gcry_mpi_free_limb_space (marker[markidx], marker_nlimbs[markidx]); - } -} - -void -_gcry_mpi_tdiv_q_2exp( gcry_mpi_t w, gcry_mpi_t u, unsigned int count ) -{ - mpi_size_t usize, wsize; - mpi_size_t limb_cnt; - - usize = u->nlimbs; - limb_cnt = count / BITS_PER_MPI_LIMB; - wsize = usize - limb_cnt; - if( limb_cnt >= usize ) - w->nlimbs = 0; - else { - mpi_ptr_t wp; - mpi_ptr_t up; - - RESIZE_IF_NEEDED( w, wsize ); - wp = w->d; - up = u->d; - - count %= BITS_PER_MPI_LIMB; - if( count ) { - _gcry_mpih_rshift( wp, up + limb_cnt, wsize, count ); - wsize -= !wp[wsize - 1]; - } - else { - MPN_COPY_INCR( wp, up + limb_cnt, wsize); - } - - w->nlimbs = wsize; - } -} - -/**************** - * Check whether dividend is divisible by divisor - * (note: divisor must fit into a limb) - */ -int -_gcry_mpi_divisible_ui(gcry_mpi_t dividend, ulong divisor ) -{ - return !_gcry_mpih_mod_1( dividend->d, dividend->nlimbs, divisor ); -} - - -void -gcry_mpi_div (gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor, int round) -{ - if (!round) - { - if (!rem) - { - gcry_mpi_t tmp = mpi_alloc (mpi_get_nlimbs(quot)); - _gcry_mpi_tdiv_qr (quot, tmp, dividend, divisor); - mpi_free (tmp); - } - else - _gcry_mpi_tdiv_qr (quot, rem, dividend, divisor); - } - else if (round < 0) - { - if (!rem) - _gcry_mpi_fdiv_q (quot, dividend, divisor); - else if (!quot) - _gcry_mpi_fdiv_r (rem, dividend, divisor); - else - _gcry_mpi_fdiv_qr (quot, rem, dividend, divisor); - } - else - log_bug ("mpi rounding to ceiling not yet implemented\n"); -} - - - +/* mpi-div.c - MPI functions
+ * Copyright (C) 1994, 1996, 1998, 2001, 2002,
+ * 2003 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Libgcrypt is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU Lesser General Public License as
+ * published by the Free Software Foundation; either version 2.1 of
+ * the License, or (at your option) any later version.
+ *
+ * Libgcrypt is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ * Actually it's the same code with only minor changes in the
+ * way the data is stored; this is to support the abstraction
+ * of an optional secure memory allocation which may be used
+ * to avoid revealing of sensitive data due to paging etc.
+ */
+
+#include <config.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include "mpi-internal.h"
+#include "longlong.h"
+#include "g10lib.h"
+
+
+void
+_gcry_mpi_fdiv_r( gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor )
+{
+ int divisor_sign = divisor->sign;
+ gcry_mpi_t temp_divisor = NULL;
+
+ /* We need the original value of the divisor after the remainder has been
+ * preliminary calculated. We have to copy it to temporary space if it's
+ * the same variable as REM. */
+ if( rem == divisor ) {
+ temp_divisor = mpi_copy( divisor );
+ divisor = temp_divisor;
+ }
+
+ _gcry_mpi_tdiv_r( rem, dividend, divisor );
+
+ if( ((divisor_sign?1:0) ^ (dividend->sign?1:0)) && rem->nlimbs )
+ gcry_mpi_add( rem, rem, divisor);
+
+ if( temp_divisor )
+ mpi_free(temp_divisor);
+}
+
+
+
+/****************
+ * Division rounding the quotient towards -infinity.
+ * The remainder gets the same sign as the denominator.
+ * rem is optional
+ */
+
+ulong
+_gcry_mpi_fdiv_r_ui( gcry_mpi_t rem, gcry_mpi_t dividend, ulong divisor )
+{
+ mpi_limb_t rlimb;
+
+ rlimb = _gcry_mpih_mod_1( dividend->d, dividend->nlimbs, divisor );
+ if( rlimb && dividend->sign )
+ rlimb = divisor - rlimb;
+
+ if( rem ) {
+ rem->d[0] = rlimb;
+ rem->nlimbs = rlimb? 1:0;
+ }
+ return rlimb;
+}
+
+
+void
+_gcry_mpi_fdiv_q( gcry_mpi_t quot, gcry_mpi_t dividend, gcry_mpi_t divisor )
+{
+ gcry_mpi_t tmp = mpi_alloc( mpi_get_nlimbs(quot) );
+ _gcry_mpi_fdiv_qr( quot, tmp, dividend, divisor);
+ mpi_free(tmp);
+}
+
+void
+_gcry_mpi_fdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor )
+{
+ int divisor_sign = divisor->sign;
+ gcry_mpi_t temp_divisor = NULL;
+
+ if( quot == divisor || rem == divisor ) {
+ temp_divisor = mpi_copy( divisor );
+ divisor = temp_divisor;
+ }
+
+ _gcry_mpi_tdiv_qr( quot, rem, dividend, divisor );
+
+ if( (divisor_sign ^ dividend->sign) && rem->nlimbs ) {
+ gcry_mpi_sub_ui( quot, quot, 1 );
+ gcry_mpi_add( rem, rem, divisor);
+ }
+
+ if( temp_divisor )
+ mpi_free(temp_divisor);
+}
+
+
+/* If den == quot, den needs temporary storage.
+ * If den == rem, den needs temporary storage.
+ * If num == quot, num needs temporary storage.
+ * If den has temporary storage, it can be normalized while being copied,
+ * i.e no extra storage should be allocated.
+ */
+
+void
+_gcry_mpi_tdiv_r( gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den)
+{
+ _gcry_mpi_tdiv_qr(NULL, rem, num, den );
+}
+
+void
+_gcry_mpi_tdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den)
+{
+ mpi_ptr_t np, dp;
+ mpi_ptr_t qp, rp;
+ mpi_size_t nsize = num->nlimbs;
+ mpi_size_t dsize = den->nlimbs;
+ mpi_size_t qsize, rsize;
+ mpi_size_t sign_remainder = num->sign;
+ mpi_size_t sign_quotient = num->sign ^ den->sign;
+ unsigned normalization_steps;
+ mpi_limb_t q_limb;
+ mpi_ptr_t marker[5];
+ unsigned int marker_nlimbs[5];
+ int markidx=0;
+
+ /* Ensure space is enough for quotient and remainder.
+ * We need space for an extra limb in the remainder, because it's
+ * up-shifted (normalized) below. */
+ rsize = nsize + 1;
+ mpi_resize( rem, rsize);
+
+ qsize = rsize - dsize; /* qsize cannot be bigger than this. */
+ if( qsize <= 0 ) {
+ if( num != rem ) {
+ rem->nlimbs = num->nlimbs;
+ rem->sign = num->sign;
+ MPN_COPY(rem->d, num->d, nsize);
+ }
+ if( quot ) {
+ /* This needs to follow the assignment to rem, in case the
+ * numerator and quotient are the same. */
+ quot->nlimbs = 0;
+ quot->sign = 0;
+ }
+ return;
+ }
+
+ if( quot )
+ mpi_resize( quot, qsize);
+
+ /* Read pointers here, when reallocation is finished. */
+ np = num->d;
+ dp = den->d;
+ rp = rem->d;
+
+ /* Optimize division by a single-limb divisor. */
+ if( dsize == 1 ) {
+ mpi_limb_t rlimb;
+ if( quot ) {
+ qp = quot->d;
+ rlimb = _gcry_mpih_divmod_1( qp, np, nsize, dp[0] );
+ qsize -= qp[qsize - 1] == 0;
+ quot->nlimbs = qsize;
+ quot->sign = sign_quotient;
+ }
+ else
+ rlimb = _gcry_mpih_mod_1( np, nsize, dp[0] );
+ rp[0] = rlimb;
+ rsize = rlimb != 0?1:0;
+ rem->nlimbs = rsize;
+ rem->sign = sign_remainder;
+ return;
+ }
+
+
+ if( quot ) {
+ qp = quot->d;
+ /* Make sure QP and NP point to different objects. Otherwise the
+ * numerator would be gradually overwritten by the quotient limbs. */
+ if(qp == np) { /* Copy NP object to temporary space. */
+ marker_nlimbs[markidx] = nsize;
+ np = marker[markidx++] = mpi_alloc_limb_space(nsize,
+ mpi_is_secure(quot));
+ MPN_COPY(np, qp, nsize);
+ }
+ }
+ else /* Put quotient at top of remainder. */
+ qp = rp + dsize;
+
+ count_leading_zeros( normalization_steps, dp[dsize - 1] );
+
+ /* Normalize the denominator, i.e. make its most significant bit set by
+ * shifting it NORMALIZATION_STEPS bits to the left. Also shift the
+ * numerator the same number of steps (to keep the quotient the same!).
+ */
+ if( normalization_steps ) {
+ mpi_ptr_t tp;
+ mpi_limb_t nlimb;
+
+ /* Shift up the denominator setting the most significant bit of
+ * the most significant word. Use temporary storage not to clobber
+ * the original contents of the denominator. */
+ marker_nlimbs[markidx] = dsize;
+ tp = marker[markidx++] = mpi_alloc_limb_space(dsize,mpi_is_secure(den));
+ _gcry_mpih_lshift( tp, dp, dsize, normalization_steps );
+ dp = tp;
+
+ /* Shift up the numerator, possibly introducing a new most
+ * significant word. Move the shifted numerator in the remainder
+ * meanwhile. */
+ nlimb = _gcry_mpih_lshift(rp, np, nsize, normalization_steps);
+ if( nlimb ) {
+ rp[nsize] = nlimb;
+ rsize = nsize + 1;
+ }
+ else
+ rsize = nsize;
+ }
+ else {
+ /* The denominator is already normalized, as required. Copy it to
+ * temporary space if it overlaps with the quotient or remainder. */
+ if( dp == rp || (quot && (dp == qp))) {
+ mpi_ptr_t tp;
+
+ marker_nlimbs[markidx] = dsize;
+ tp = marker[markidx++] = mpi_alloc_limb_space(dsize,
+ mpi_is_secure(den));
+ MPN_COPY( tp, dp, dsize );
+ dp = tp;
+ }
+
+ /* Move the numerator to the remainder. */
+ if( rp != np )
+ MPN_COPY(rp, np, nsize);
+
+ rsize = nsize;
+ }
+
+ q_limb = _gcry_mpih_divrem( qp, 0, rp, rsize, dp, dsize );
+
+ if( quot ) {
+ qsize = rsize - dsize;
+ if(q_limb) {
+ qp[qsize] = q_limb;
+ qsize += 1;
+ }
+
+ quot->nlimbs = qsize;
+ quot->sign = sign_quotient;
+ }
+
+ rsize = dsize;
+ MPN_NORMALIZE (rp, rsize);
+
+ if( normalization_steps && rsize ) {
+ _gcry_mpih_rshift(rp, rp, rsize, normalization_steps);
+ rsize -= rp[rsize - 1] == 0?1:0;
+ }
+
+ rem->nlimbs = rsize;
+ rem->sign = sign_remainder;
+ while( markidx )
+ {
+ markidx--;
+ _gcry_mpi_free_limb_space (marker[markidx], marker_nlimbs[markidx]);
+ }
+}
+
+void
+_gcry_mpi_tdiv_q_2exp( gcry_mpi_t w, gcry_mpi_t u, unsigned int count )
+{
+ mpi_size_t usize, wsize;
+ mpi_size_t limb_cnt;
+
+ usize = u->nlimbs;
+ limb_cnt = count / BITS_PER_MPI_LIMB;
+ wsize = usize - limb_cnt;
+ if( limb_cnt >= usize )
+ w->nlimbs = 0;
+ else {
+ mpi_ptr_t wp;
+ mpi_ptr_t up;
+
+ RESIZE_IF_NEEDED( w, wsize );
+ wp = w->d;
+ up = u->d;
+
+ count %= BITS_PER_MPI_LIMB;
+ if( count ) {
+ _gcry_mpih_rshift( wp, up + limb_cnt, wsize, count );
+ wsize -= !wp[wsize - 1];
+ }
+ else {
+ MPN_COPY_INCR( wp, up + limb_cnt, wsize);
+ }
+
+ w->nlimbs = wsize;
+ }
+}
+
+/****************
+ * Check whether dividend is divisible by divisor
+ * (note: divisor must fit into a limb)
+ */
+int
+_gcry_mpi_divisible_ui(gcry_mpi_t dividend, ulong divisor )
+{
+ return !_gcry_mpih_mod_1( dividend->d, dividend->nlimbs, divisor );
+}
+
+
+void
+gcry_mpi_div (gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor, int round)
+{
+ if (!round)
+ {
+ if (!rem)
+ {
+ gcry_mpi_t tmp = mpi_alloc (mpi_get_nlimbs(quot));
+ _gcry_mpi_tdiv_qr (quot, tmp, dividend, divisor);
+ mpi_free (tmp);
+ }
+ else
+ _gcry_mpi_tdiv_qr (quot, rem, dividend, divisor);
+ }
+ else if (round < 0)
+ {
+ if (!rem)
+ _gcry_mpi_fdiv_q (quot, dividend, divisor);
+ else if (!quot)
+ _gcry_mpi_fdiv_r (rem, dividend, divisor);
+ else
+ _gcry_mpi_fdiv_qr (quot, rem, dividend, divisor);
+ }
+ else
+ log_bug ("mpi rounding to ceiling not yet implemented\n");
+}
+
+
+
|