| /* mpi-bit.c - MPI bit level fucntions |
| * Copyright (C) 1998, 1999, 2001, 2002, 2006 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 |
| */ |
| |
| #include <config.h> |
| #include <stdio.h> |
| #include <stdlib.h> |
| #include "mpi-internal.h" |
| #include "longlong.h" |
| |
| |
| #ifdef MPI_INTERNAL_NEED_CLZ_TAB |
| #ifdef __STDC__ |
| const |
| #endif |
| unsigned char |
| _gcry_clz_tab[] = |
| { |
| 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, |
| 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, |
| 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
| 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
| 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
| 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
| 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
| 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
| }; |
| #endif |
| |
| |
| #define A_LIMB_1 ((mpi_limb_t)1) |
| |
| |
| /**************** |
| * Sometimes we have MSL (most significant limbs) which are 0; |
| * this is for some reasons not good, so this function removes them. |
| */ |
| void |
| _gcry_mpi_normalize( gcry_mpi_t a ) |
| { |
| if( mpi_is_opaque(a) ) |
| return; |
| |
| for( ; a->nlimbs && !a->d[a->nlimbs-1]; a->nlimbs-- ) |
| ; |
| } |
| |
| |
| |
| /**************** |
| * Return the number of bits in A. |
| */ |
| unsigned int |
| gcry_mpi_get_nbits( gcry_mpi_t a ) |
| { |
| unsigned n; |
| |
| if( mpi_is_opaque(a) ) { |
| return a->sign; /* which holds the number of bits */ |
| } |
| |
| _gcry_mpi_normalize( a ); |
| if( a->nlimbs ) { |
| mpi_limb_t alimb = a->d[a->nlimbs-1]; |
| if( alimb ) |
| count_leading_zeros( n, alimb ); |
| else |
| n = BITS_PER_MPI_LIMB; |
| n = BITS_PER_MPI_LIMB - n + (a->nlimbs-1) * BITS_PER_MPI_LIMB; |
| } |
| else |
| n = 0; |
| return n; |
| } |
| |
| |
| /**************** |
| * Test whether bit N is set. |
| */ |
| int |
| gcry_mpi_test_bit( gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int limbno, bitno; |
| mpi_limb_t limb; |
| |
| limbno = n / BITS_PER_MPI_LIMB; |
| bitno = n % BITS_PER_MPI_LIMB; |
| |
| if( limbno >= a->nlimbs ) |
| return 0; /* too far left: this is a 0 */ |
| limb = a->d[limbno]; |
| return (limb & (A_LIMB_1 << bitno))? 1: 0; |
| } |
| |
| |
| /**************** |
| * Set bit N of A. |
| */ |
| void |
| gcry_mpi_set_bit( gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int limbno, bitno; |
| |
| limbno = n / BITS_PER_MPI_LIMB; |
| bitno = n % BITS_PER_MPI_LIMB; |
| |
| if ( limbno >= a->nlimbs ) |
| { |
| mpi_resize (a, limbno+1 ); |
| a->nlimbs = limbno+1; |
| } |
| a->d[limbno] |= (A_LIMB_1<<bitno); |
| } |
| |
| /**************** |
| * Set bit N of A. and clear all bits above |
| */ |
| void |
| gcry_mpi_set_highbit( gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int limbno, bitno; |
| |
| limbno = n / BITS_PER_MPI_LIMB; |
| bitno = n % BITS_PER_MPI_LIMB; |
| |
| if ( limbno >= a->nlimbs ) |
| { |
| mpi_resize (a, limbno+1 ); |
| a->nlimbs = limbno+1; |
| } |
| a->d[limbno] |= (A_LIMB_1<<bitno); |
| for ( bitno++; bitno < BITS_PER_MPI_LIMB; bitno++ ) |
| a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| a->nlimbs = limbno+1; |
| } |
| |
| /**************** |
| * clear bit N of A and all bits above |
| */ |
| void |
| gcry_mpi_clear_highbit( gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int limbno, bitno; |
| |
| limbno = n / BITS_PER_MPI_LIMB; |
| bitno = n % BITS_PER_MPI_LIMB; |
| |
| if( limbno >= a->nlimbs ) |
| return; /* not allocated, therefore no need to clear bits |
| :-) */ |
| |
| for( ; bitno < BITS_PER_MPI_LIMB; bitno++ ) |
| a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| a->nlimbs = limbno+1; |
| } |
| |
| /**************** |
| * Clear bit N of A. |
| */ |
| void |
| gcry_mpi_clear_bit( gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int limbno, bitno; |
| |
| limbno = n / BITS_PER_MPI_LIMB; |
| bitno = n % BITS_PER_MPI_LIMB; |
| |
| if( limbno >= a->nlimbs ) |
| return; /* don't need to clear this bit, it's to far to left */ |
| a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| } |
| |
| |
| /**************** |
| * Shift A by COUNT limbs to the right |
| * This is used only within the MPI library |
| */ |
| void |
| _gcry_mpi_rshift_limbs( gcry_mpi_t a, unsigned int count ) |
| { |
| mpi_ptr_t ap = a->d; |
| mpi_size_t n = a->nlimbs; |
| unsigned int i; |
| |
| if( count >= n ) { |
| a->nlimbs = 0; |
| return; |
| } |
| |
| for( i = 0; i < n - count; i++ ) |
| ap[i] = ap[i+count]; |
| ap[i] = 0; |
| a->nlimbs -= count; |
| } |
| |
| |
| /* |
| * Shift A by N bits to the right. |
| */ |
| void |
| gcry_mpi_rshift ( gcry_mpi_t x, gcry_mpi_t a, unsigned int n ) |
| { |
| mpi_size_t xsize; |
| unsigned int i; |
| unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
| unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
| |
| if ( x == a ) |
| { |
| /* In-place operation. */ |
| if ( nlimbs >= x->nlimbs ) |
| { |
| x->nlimbs = 0; |
| return; |
| } |
| |
| if (nlimbs) |
| { |
| for (i=0; i < x->nlimbs - nlimbs; i++ ) |
| x->d[i] = x->d[i+nlimbs]; |
| x->d[i] = 0; |
| x->nlimbs -= nlimbs; |
| |
| } |
| if ( x->nlimbs && nbits ) |
| _gcry_mpih_rshift ( x->d, x->d, x->nlimbs, nbits ); |
| } |
| else if ( nlimbs ) |
| { |
| /* Copy and shift by more or equal bits than in a limb. */ |
| xsize = a->nlimbs; |
| x->sign = a->sign; |
| RESIZE_IF_NEEDED (x, xsize); |
| x->nlimbs = xsize; |
| for (i=0; i < a->nlimbs; i++ ) |
| x->d[i] = a->d[i]; |
| x->nlimbs = i; |
| |
| if ( nlimbs >= x->nlimbs ) |
| { |
| x->nlimbs = 0; |
| return; |
| } |
| |
| if (nlimbs) |
| { |
| for (i=0; i < x->nlimbs - nlimbs; i++ ) |
| x->d[i] = x->d[i+nlimbs]; |
| x->d[i] = 0; |
| x->nlimbs -= nlimbs; |
| } |
| |
| if ( x->nlimbs && nbits ) |
| _gcry_mpih_rshift ( x->d, x->d, x->nlimbs, nbits ); |
| } |
| else |
| { |
| /* Copy and shift by less than bits in a limb. */ |
| xsize = a->nlimbs; |
| x->sign = a->sign; |
| RESIZE_IF_NEEDED (x, xsize); |
| x->nlimbs = xsize; |
| |
| if ( xsize ) |
| { |
| if (nbits ) |
| _gcry_mpih_rshift (x->d, a->d, x->nlimbs, nbits ); |
| else |
| { |
| /* The rshift helper function is not specified for |
| NBITS==0, thus we do a plain copy here. */ |
| for (i=0; i < x->nlimbs; i++ ) |
| x->d[i] = a->d[i]; |
| } |
| } |
| } |
| MPN_NORMALIZE (x->d, x->nlimbs); |
| } |
| |
| |
| /**************** |
| * Shift A by COUNT limbs to the left |
| * This is used only within the MPI library |
| */ |
| void |
| _gcry_mpi_lshift_limbs (gcry_mpi_t a, unsigned int count) |
| { |
| mpi_ptr_t ap; |
| int n = a->nlimbs; |
| int i; |
| |
| if (!count || !n) |
| return; |
| |
| RESIZE_IF_NEEDED (a, n+count); |
| |
| ap = a->d; |
| for (i = n-1; i >= 0; i--) |
| ap[i+count] = ap[i]; |
| for (i=0; i < count; i++ ) |
| ap[i] = 0; |
| a->nlimbs += count; |
| } |
| |
| |
| /* |
| * Shift A by N bits to the left. |
| */ |
| void |
| gcry_mpi_lshift ( gcry_mpi_t x, gcry_mpi_t a, unsigned int n ) |
| { |
| unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
| unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
| |
| if (x == a && !n) |
| return; /* In-place shift with an amount of zero. */ |
| |
| if ( x != a ) |
| { |
| /* Copy A to X. */ |
| unsigned int alimbs = a->nlimbs; |
| int asign = a->sign; |
| mpi_ptr_t xp, ap; |
| |
| RESIZE_IF_NEEDED (x, alimbs+nlimbs+1); |
| xp = x->d; |
| ap = a->d; |
| MPN_COPY (xp, ap, alimbs); |
| x->nlimbs = alimbs; |
| x->flags = a->flags; |
| x->sign = asign; |
| } |
| |
| if (nlimbs && !nbits) |
| { |
| /* Shift a full number of limbs. */ |
| _gcry_mpi_lshift_limbs (x, nlimbs); |
| } |
| else if (n) |
| { |
| /* We use a very dump approach: Shift left by the number of |
| limbs plus one and than fix it up by an rshift. */ |
| _gcry_mpi_lshift_limbs (x, nlimbs+1); |
| gcry_mpi_rshift (x, x, BITS_PER_MPI_LIMB - nbits); |
| } |
| |
| MPN_NORMALIZE (x->d, x->nlimbs); |
| } |
| |