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author | Repo Admin <[email protected]> | 2002-10-19 07:55:27 +0000 |
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committer | Repo Admin <[email protected]> | 2002-10-19 07:55:27 +0000 |
commit | 82a17c9fb3d64ccdd474c3bedf564368f77e84a4 (patch) | |
tree | 0c01ee8cea5f6f77e830955c6b97024752740a2b /mpi/mpih-mul.c | |
parent | Bumped version number for cvs version (diff) | |
download | gnupg-82a17c9fb3d64ccdd474c3bedf564368f77e84a4.tar.gz gnupg-82a17c9fb3d64ccdd474c3bedf564368f77e84a4.zip |
This commit was manufactured by cvs2svn to create branch
'GNUPG-1-9-BRANCH'.
Diffstat (limited to '')
-rw-r--r-- | mpi/mpih-mul.c | 528 |
1 files changed, 0 insertions, 528 deletions
diff --git a/mpi/mpih-mul.c b/mpi/mpih-mul.c deleted file mode 100644 index db6c1aeb8..000000000 --- a/mpi/mpih-mul.c +++ /dev/null @@ -1,528 +0,0 @@ -/* mpihelp-mul.c - MPI helper functions - * Copyright (C) 1994, 1996, 1998, 1999, - * 2000 Free Software Foundation, Inc. - * - * This file is part of GnuPG. - * - * GnuPG is free software; you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation; either version 2 of the License, or - * (at your option) any later version. - * - * GnuPG 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 General Public License for more details. - * - * You should have received a copy of the GNU 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. - * The GNU MP Library itself is published under the LGPL; - * however I decided to publish this code under the plain GPL. - */ - -#include <config.h> -#include <stdio.h> -#include <stdlib.h> -#include <string.h> -#include "mpi-internal.h" -#include "longlong.h" - - - -#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \ - do { \ - if( (size) < KARATSUBA_THRESHOLD ) \ - mul_n_basecase (prodp, up, vp, size); \ - else \ - mul_n (prodp, up, vp, size, tspace); \ - } while (0); - -#define MPN_SQR_N_RECURSE(prodp, up, size, tspace) \ - do { \ - if ((size) < KARATSUBA_THRESHOLD) \ - mpih_sqr_n_basecase (prodp, up, size); \ - else \ - mpih_sqr_n (prodp, up, size, tspace); \ - } while (0); - - - - -/* Multiply the natural numbers u (pointed to by UP) and v (pointed to by VP), - * both with SIZE limbs, and store the result at PRODP. 2 * SIZE limbs are - * always stored. Return the most significant limb. - * - * Argument constraints: - * 1. PRODP != UP and PRODP != VP, i.e. the destination - * must be distinct from the multiplier and the multiplicand. - * - * - * Handle simple cases with traditional multiplication. - * - * This is the most critical code of multiplication. All multiplies rely - * on this, both small and huge. Small ones arrive here immediately. Huge - * ones arrive here as this is the base case for Karatsuba's recursive - * algorithm below. - */ - -static mpi_limb_t -mul_n_basecase( mpi_ptr_t prodp, mpi_ptr_t up, - mpi_ptr_t vp, mpi_size_t size) -{ - mpi_size_t i; - mpi_limb_t cy; - mpi_limb_t v_limb; - - /* Multiply by the first limb in V separately, as the result can be - * stored (not added) to PROD. We also avoid a loop for zeroing. */ - v_limb = vp[0]; - if( v_limb <= 1 ) { - if( v_limb == 1 ) - MPN_COPY( prodp, up, size ); - else - MPN_ZERO( prodp, size ); - cy = 0; - } - else - cy = mpihelp_mul_1( prodp, up, size, v_limb ); - - prodp[size] = cy; - prodp++; - - /* For each iteration in the outer loop, multiply one limb from - * U with one limb from V, and add it to PROD. */ - for( i = 1; i < size; i++ ) { - v_limb = vp[i]; - if( v_limb <= 1 ) { - cy = 0; - if( v_limb == 1 ) - cy = mpihelp_add_n(prodp, prodp, up, size); - } - else - cy = mpihelp_addmul_1(prodp, up, size, v_limb); - - prodp[size] = cy; - prodp++; - } - - return cy; -} - - -static void -mul_n( mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp, - mpi_size_t size, mpi_ptr_t tspace ) -{ - if( size & 1 ) { - /* The size is odd, and the code below doesn't handle that. - * Multiply the least significant (size - 1) limbs with a recursive - * call, and handle the most significant limb of S1 and S2 - * separately. - * A slightly faster way to do this would be to make the Karatsuba - * code below behave as if the size were even, and let it check for - * odd size in the end. I.e., in essence move this code to the end. - * Doing so would save us a recursive call, and potentially make the - * stack grow a lot less. - */ - mpi_size_t esize = size - 1; /* even size */ - mpi_limb_t cy_limb; - - MPN_MUL_N_RECURSE( prodp, up, vp, esize, tspace ); - cy_limb = mpihelp_addmul_1( prodp + esize, up, esize, vp[esize] ); - prodp[esize + esize] = cy_limb; - cy_limb = mpihelp_addmul_1( prodp + esize, vp, size, up[esize] ); - prodp[esize + size] = cy_limb; - } - else { - /* Anatolij Alekseevich Karatsuba's divide-and-conquer algorithm. - * - * Split U in two pieces, U1 and U0, such that - * U = U0 + U1*(B**n), - * and V in V1 and V0, such that - * V = V0 + V1*(B**n). - * - * UV is then computed recursively using the identity - * - * 2n n n n - * UV = (B + B )U V + B (U -U )(V -V ) + (B + 1)U V - * 1 1 1 0 0 1 0 0 - * - * Where B = 2**BITS_PER_MP_LIMB. - */ - mpi_size_t hsize = size >> 1; - mpi_limb_t cy; - int negflg; - - /* Product H. ________________ ________________ - * |_____U1 x V1____||____U0 x V0_____| - * Put result in upper part of PROD and pass low part of TSPACE - * as new TSPACE. - */ - MPN_MUL_N_RECURSE(prodp + size, up + hsize, vp + hsize, hsize, tspace); - - /* Product M. ________________ - * |_(U1-U0)(V0-V1)_| - */ - if( mpihelp_cmp(up + hsize, up, hsize) >= 0 ) { - mpihelp_sub_n(prodp, up + hsize, up, hsize); - negflg = 0; - } - else { - mpihelp_sub_n(prodp, up, up + hsize, hsize); - negflg = 1; - } - if( mpihelp_cmp(vp + hsize, vp, hsize) >= 0 ) { - mpihelp_sub_n(prodp + hsize, vp + hsize, vp, hsize); - negflg ^= 1; - } - else { - mpihelp_sub_n(prodp + hsize, vp, vp + hsize, hsize); - /* No change of NEGFLG. */ - } - /* Read temporary operands from low part of PROD. - * Put result in low part of TSPACE using upper part of TSPACE - * as new TSPACE. - */ - MPN_MUL_N_RECURSE(tspace, prodp, prodp + hsize, hsize, tspace + size); - - /* Add/copy product H. */ - MPN_COPY (prodp + hsize, prodp + size, hsize); - cy = mpihelp_add_n( prodp + size, prodp + size, - prodp + size + hsize, hsize); - - /* Add product M (if NEGFLG M is a negative number) */ - if(negflg) - cy -= mpihelp_sub_n(prodp + hsize, prodp + hsize, tspace, size); - else - cy += mpihelp_add_n(prodp + hsize, prodp + hsize, tspace, size); - - /* Product L. ________________ ________________ - * |________________||____U0 x V0_____| - * Read temporary operands from low part of PROD. - * Put result in low part of TSPACE using upper part of TSPACE - * as new TSPACE. - */ - MPN_MUL_N_RECURSE(tspace, up, vp, hsize, tspace + size); - - /* Add/copy Product L (twice) */ - - cy += mpihelp_add_n(prodp + hsize, prodp + hsize, tspace, size); - if( cy ) - mpihelp_add_1(prodp + hsize + size, prodp + hsize + size, hsize, cy); - - MPN_COPY(prodp, tspace, hsize); - cy = mpihelp_add_n(prodp + hsize, prodp + hsize, tspace + hsize, hsize); - if( cy ) - mpihelp_add_1(prodp + size, prodp + size, size, 1); - } -} - - -void -mpih_sqr_n_basecase( mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size ) -{ - mpi_size_t i; - mpi_limb_t cy_limb; - mpi_limb_t v_limb; - - /* Multiply by the first limb in V separately, as the result can be - * stored (not added) to PROD. We also avoid a loop for zeroing. */ - v_limb = up[0]; - if( v_limb <= 1 ) { - if( v_limb == 1 ) - MPN_COPY( prodp, up, size ); - else - MPN_ZERO(prodp, size); - cy_limb = 0; - } - else - cy_limb = mpihelp_mul_1( prodp, up, size, v_limb ); - - prodp[size] = cy_limb; - prodp++; - - /* For each iteration in the outer loop, multiply one limb from - * U with one limb from V, and add it to PROD. */ - for( i=1; i < size; i++) { - v_limb = up[i]; - if( v_limb <= 1 ) { - cy_limb = 0; - if( v_limb == 1 ) - cy_limb = mpihelp_add_n(prodp, prodp, up, size); - } - else - cy_limb = mpihelp_addmul_1(prodp, up, size, v_limb); - - prodp[size] = cy_limb; - prodp++; - } -} - - -void -mpih_sqr_n( mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size, mpi_ptr_t tspace) -{ - if( size & 1 ) { - /* The size is odd, and the code below doesn't handle that. - * Multiply the least significant (size - 1) limbs with a recursive - * call, and handle the most significant limb of S1 and S2 - * separately. - * A slightly faster way to do this would be to make the Karatsuba - * code below behave as if the size were even, and let it check for - * odd size in the end. I.e., in essence move this code to the end. - * Doing so would save us a recursive call, and potentially make the - * stack grow a lot less. - */ - mpi_size_t esize = size - 1; /* even size */ - mpi_limb_t cy_limb; - - MPN_SQR_N_RECURSE( prodp, up, esize, tspace ); - cy_limb = mpihelp_addmul_1( prodp + esize, up, esize, up[esize] ); - prodp[esize + esize] = cy_limb; - cy_limb = mpihelp_addmul_1( prodp + esize, up, size, up[esize] ); - - prodp[esize + size] = cy_limb; - } - else { - mpi_size_t hsize = size >> 1; - mpi_limb_t cy; - - /* Product H. ________________ ________________ - * |_____U1 x U1____||____U0 x U0_____| - * Put result in upper part of PROD and pass low part of TSPACE - * as new TSPACE. - */ - MPN_SQR_N_RECURSE(prodp + size, up + hsize, hsize, tspace); - - /* Product M. ________________ - * |_(U1-U0)(U0-U1)_| - */ - if( mpihelp_cmp( up + hsize, up, hsize) >= 0 ) - mpihelp_sub_n( prodp, up + hsize, up, hsize); - else - mpihelp_sub_n (prodp, up, up + hsize, hsize); - - /* Read temporary operands from low part of PROD. - * Put result in low part of TSPACE using upper part of TSPACE - * as new TSPACE. */ - MPN_SQR_N_RECURSE(tspace, prodp, hsize, tspace + size); - - /* Add/copy product H */ - MPN_COPY(prodp + hsize, prodp + size, hsize); - cy = mpihelp_add_n(prodp + size, prodp + size, - prodp + size + hsize, hsize); - - /* Add product M (if NEGFLG M is a negative number). */ - cy -= mpihelp_sub_n (prodp + hsize, prodp + hsize, tspace, size); - - /* Product L. ________________ ________________ - * |________________||____U0 x U0_____| - * Read temporary operands from low part of PROD. - * Put result in low part of TSPACE using upper part of TSPACE - * as new TSPACE. */ - MPN_SQR_N_RECURSE (tspace, up, hsize, tspace + size); - - /* Add/copy Product L (twice). */ - cy += mpihelp_add_n (prodp + hsize, prodp + hsize, tspace, size); - if( cy ) - mpihelp_add_1(prodp + hsize + size, prodp + hsize + size, - hsize, cy); - - MPN_COPY(prodp, tspace, hsize); - cy = mpihelp_add_n (prodp + hsize, prodp + hsize, tspace + hsize, hsize); - if( cy ) - mpihelp_add_1 (prodp + size, prodp + size, size, 1); - } -} - - -/* This should be made into an inline function in gmp.h. */ -void -mpihelp_mul_n( mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size) -{ - int secure; - - if( up == vp ) { - if( size < KARATSUBA_THRESHOLD ) - mpih_sqr_n_basecase( prodp, up, size ); - else { - mpi_ptr_t tspace; - secure = m_is_secure( up ); - tspace = mpi_alloc_limb_space( 2 * size, secure ); - mpih_sqr_n( prodp, up, size, tspace ); - mpi_free_limb_space( tspace ); - } - } - else { - if( size < KARATSUBA_THRESHOLD ) - mul_n_basecase( prodp, up, vp, size ); - else { - mpi_ptr_t tspace; - secure = m_is_secure( up ) || m_is_secure( vp ); - tspace = mpi_alloc_limb_space( 2 * size, secure ); - mul_n (prodp, up, vp, size, tspace); - mpi_free_limb_space( tspace ); - } - } -} - - - -void -mpihelp_mul_karatsuba_case( mpi_ptr_t prodp, - mpi_ptr_t up, mpi_size_t usize, - mpi_ptr_t vp, mpi_size_t vsize, - struct karatsuba_ctx *ctx ) -{ - mpi_limb_t cy; - - if( !ctx->tspace || ctx->tspace_size < vsize ) { - if( ctx->tspace ) - mpi_free_limb_space( ctx->tspace ); - ctx->tspace = mpi_alloc_limb_space( 2 * vsize, - m_is_secure( up ) || m_is_secure( vp ) ); - ctx->tspace_size = vsize; - } - - MPN_MUL_N_RECURSE( prodp, up, vp, vsize, ctx->tspace ); - - prodp += vsize; - up += vsize; - usize -= vsize; - if( usize >= vsize ) { - if( !ctx->tp || ctx->tp_size < vsize ) { - if( ctx->tp ) - mpi_free_limb_space( ctx->tp ); - ctx->tp = mpi_alloc_limb_space( 2 * vsize, m_is_secure( up ) - || m_is_secure( vp ) ); - ctx->tp_size = vsize; - } - - do { - MPN_MUL_N_RECURSE( ctx->tp, up, vp, vsize, ctx->tspace ); - cy = mpihelp_add_n( prodp, prodp, ctx->tp, vsize ); - mpihelp_add_1( prodp + vsize, ctx->tp + vsize, vsize, cy ); - prodp += vsize; - up += vsize; - usize -= vsize; - } while( usize >= vsize ); - } - - if( usize ) { - if( usize < KARATSUBA_THRESHOLD ) { - mpihelp_mul( ctx->tspace, vp, vsize, up, usize ); - } - else { - if( !ctx->next ) { - ctx->next = m_alloc_clear( sizeof *ctx ); - } - mpihelp_mul_karatsuba_case( ctx->tspace, - vp, vsize, - up, usize, - ctx->next ); - } - - cy = mpihelp_add_n( prodp, prodp, ctx->tspace, vsize); - mpihelp_add_1( prodp + vsize, ctx->tspace + vsize, usize, cy ); - } -} - - -void -mpihelp_release_karatsuba_ctx( struct karatsuba_ctx *ctx ) -{ - struct karatsuba_ctx *ctx2; - - if( ctx->tp ) - mpi_free_limb_space( ctx->tp ); - if( ctx->tspace ) - mpi_free_limb_space( ctx->tspace ); - for( ctx=ctx->next; ctx; ctx = ctx2 ) { - ctx2 = ctx->next; - if( ctx->tp ) - mpi_free_limb_space( ctx->tp ); - if( ctx->tspace ) - mpi_free_limb_space( ctx->tspace ); - m_free( ctx ); - } -} - -/* Multiply the natural numbers u (pointed to by UP, with USIZE limbs) - * and v (pointed to by VP, with VSIZE limbs), and store the result at - * PRODP. USIZE + VSIZE limbs are always stored, but if the input - * operands are normalized. Return the most significant limb of the - * result. - * - * NOTE: The space pointed to by PRODP is overwritten before finished - * with U and V, so overlap is an error. - * - * Argument constraints: - * 1. USIZE >= VSIZE. - * 2. PRODP != UP and PRODP != VP, i.e. the destination - * must be distinct from the multiplier and the multiplicand. - */ - -mpi_limb_t -mpihelp_mul( mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize, - mpi_ptr_t vp, mpi_size_t vsize) -{ - mpi_ptr_t prod_endp = prodp + usize + vsize - 1; - mpi_limb_t cy; - struct karatsuba_ctx ctx; - - if( vsize < KARATSUBA_THRESHOLD ) { - mpi_size_t i; - mpi_limb_t v_limb; - - if( !vsize ) - return 0; - - /* Multiply by the first limb in V separately, as the result can be - * stored (not added) to PROD. We also avoid a loop for zeroing. */ - v_limb = vp[0]; - if( v_limb <= 1 ) { - if( v_limb == 1 ) - MPN_COPY( prodp, up, usize ); - else - MPN_ZERO( prodp, usize ); - cy = 0; - } - else - cy = mpihelp_mul_1( prodp, up, usize, v_limb ); - - prodp[usize] = cy; - prodp++; - - /* For each iteration in the outer loop, multiply one limb from - * U with one limb from V, and add it to PROD. */ - for( i = 1; i < vsize; i++ ) { - v_limb = vp[i]; - if( v_limb <= 1 ) { - cy = 0; - if( v_limb == 1 ) - cy = mpihelp_add_n(prodp, prodp, up, usize); - } - else - cy = mpihelp_addmul_1(prodp, up, usize, v_limb); - - prodp[usize] = cy; - prodp++; - } - - return cy; - } - - memset( &ctx, 0, sizeof ctx ); - mpihelp_mul_karatsuba_case( prodp, up, usize, vp, vsize, &ctx ); - mpihelp_release_karatsuba_ctx( &ctx ); - return *prod_endp; -} - - |