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Import gcrypt public-key cryptography and implement signature checking.

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This commit is contained in:
Vladimir 'phcoder' Serbinenko 2013-01-11 21:32:42 +01:00
parent 535714bdcf
commit 5e3b8dcbb5
238 changed files with 40500 additions and 417 deletions
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29
grub-core/lib/libgcrypt/mpi/generic/Manifest Normal file
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# Manifest - checksums
# Copyright 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
mpih-add1.c iQCVAwUAP+Lj2DEAnp832S/7AQKn/AQAwQLWggl6zNQ5EZ+lE+jKV8W3FsogW3/6tp9T5rrSR5JnlWyoHQ9/Pu4knOcLjS6nIfVOiAEifu3nuIysQr9jDSSSJA2LylSUBSXKLKDamPsOCwXOLxiZODslJT3CCGAUtLvXJrWDbTZQrkEuwnLnjQFDzuA7iY9JLrG9kAoXD6Q==WoWm
mpih-mul1.c iQCVAwUAP+LkCTEAnp832S/7AQKFVQP+MhBNjcY73JtnsHZfnaVZq3TiKwN151cWV51nDc1RnTaMhSIFeuNlj3vNML2W0Gn8n+GnyiWE2XXdQEaik6BL02eekUn9aq7I/rdpnTHuOjQPK1uwjuNl8RuJ9YrERBAxq4oB71f+iwMab8dsMSUlVC+NdeAocRqLLgnR/efkdLc==2Tkb
mpih-mul2.c iQCVAwUAP+LkMjEAnp832S/7AQLPeAQAqmRzxFe/mDqTdZr/pTXT8RVyB1vKB0Ei2THV05BxmI4OPv39uysfFpLMt/INsX7AGqdOlj4jOZ/qNaFXR1ceMrlSXvo8u/epk6rCXFp82kM7Qs983LjoP//PrMCkYkXwblaVrgUGiBUCbuPMliWTK6qKkxxXtEfqZ7nVbEWdBx8==Kwhl
mpih-mul3.c iQCVAwUAP+LkVDEAnp832S/7AQL91gP/Qd5iZWxRiN5DdEIVHAedoNvl23NPrT2UUdXvnSK49DpplTxkLiMBj0WqCayG/YIET2NpMRCeLvAZNcSt6lOm0bSZDYo1Hv/N+UoqD3V1McjY16REBv/nnPaMWMZcx7rl5yKTVZiX2PgV6oQOL7Yfrt5ZIOlrHBRs9S2/zcCaVz0==9BQe
mpih-lshift.c iQCVAwUAP+LlATEAnp832S/7AQIACAQAhMrpx0SRXE/LN1NkjMO9n74nMrvmzYJyru0gw2O4BYrUPvD/LWGju2FZaggKV0IBjmi0cDoCrNeK9EGjKOO1lfgODbX2IZ1LUhr9jDuMj0QRqj6T9YkAFYTNUk4GfpwIf7T6Ybo7c78Jx93PidCJt7d39eMMEalooC7LZ4IU3NM==nZ4k
mpih-rshift.c iQCVAwUAP+LlIjEAnp832S/7AQKiuAP/eYC2ZScd+taBx/kNzRvGjA0eAXvORMkMLV6Ot+OXVzVUi04eoP2yXdxSNFKwUj12p8GWXkdoMG3aOGBKg2a7bY5Q5RUho3hUWb9UsVYVUfXLf7IOTt/3a6MLh2CmV5dFPWJmSlbCyQRcn6n/fLDeJ3A2bWTS/BhqGfpOXUIU1ws==jCf8
mpih-sub1.c iQCVAwUAP+LlZzEAnp832S/7AQIEPgP/dLHTDRbPrYJhsLp9SjGstU1M8/IC5XytcDtO3NQeu4mx6vaXjpujtsTvKIbX4QL5IahNntVVKv1xFLEm2yFg7L2ns0uD/mfwGgOhCG1j2o/SaTAWP5KxP7ae5UDcZl2w6NWvEuMj9t32zmziAZjP8W73A37FUspeRDYiL9sQzkI==QQzk
udiv-w-sdiv.c iQCVAwUAP+Lk0TEAnp832S/7AQICXAQAsxe1SQD4+xZaZTqBC0V9Cyuo0mrdccnRFzthOtm0ARwKFXU2cuLW/ZBOkmeWOVmOFhBp22/I8dEGYnMA3gcfmOMCpNu9i9zk/XHfptdunA1MnOe3GsoWgfHL0rhpAyPhp/X043ICB41NElnnuxADuQQlD4Z1fca5ygYxMr2crJg==EI/6
mpi-asm-defs.h iQCVAwUAP+LkgDEAnp832S/7AQK0FgQAxJZ7xvXhoZa33GWe23LRb3asrno/loZSyAIXrntqtVH8M3pEsCY0OyW4ry4hX2RnxpuhRCM/PdRNLG3xXyMSVIhkHU8WVRLqzF2LLjEkyU3cAmHnnTQ9aO/XpUWtJGTZ8q2bv7ZsAEi4aPl0p6KhPXcPgM9vQ2XcyOPn3Dl0d6Q==xpjI
$names$ iQCVAwUAP+LmNDEAnp832S/7AQJa+gP+KQNJpbNOgc+s2UX+Ya2gDaOFcAROImIllhg3ej8EaBF8xxdHmWT1zaKwTwi3moEEleykMR104YAGWyQeMbFYiuPPBW+ohrT6KxRBVJpIA9auOOqqJMyglZyoR3Hv7gduVYUW1h/DebnqiKXKEfzQDFqYuT0ayuteoOR4B5NICbE==nLSh

11
grub-core/lib/libgcrypt/mpi/generic/distfiles Normal file
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Manifest
mpih-add1.c
mpih-mul1.c
mpih-mul2.c
mpih-mul3.c
mpih-lshift.c
mpih-rshift.c
mpih-sub1.c
udiv-w-sdiv.c
mpi-asm-defs.h

10
grub-core/lib/libgcrypt/mpi/generic/mpi-asm-defs.h Normal file
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/* This file defines some basic constants for the MPI machinery. We
* need to define the types on a per-CPU basis, so it is done with
* this file here. */
#define BYTES_PER_MPI_LIMB (SIZEOF_UNSIGNED_LONG)

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grub-core/lib/libgcrypt/mpi/generic/mpih-add1.c Normal file
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/* mpihelp-add_1.c - MPI helper functions
* Copyright (C) 1994, 1996, 1997, 1998,
* 2000, 2002 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"
mpi_limb_t
_gcry_mpih_add_n (mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
mpi_ptr_t s2_ptr, mpi_size_t size)
{
mpi_limb_t x, y, cy;
mpi_size_t j;
/* The loop counter and index J goes from -SIZE to -1. This way
the loop becomes faster. */
j = -size;
/* Offset the base pointers to compensate for the negative indices. */
s1_ptr -= j;
s2_ptr -= j;
res_ptr -= j;
cy = 0;
do
{
y = s2_ptr[j];
x = s1_ptr[j];
y += cy; /* add previous carry to one addend */
cy = y < cy; /* get out carry from that addition */
y += x; /* add other addend */
cy += y < x; /* get out carry from that add, combine */
res_ptr[j] = y;
}
while ( ++j );
return cy;
}

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grub-core/lib/libgcrypt/mpi/generic/mpih-lshift.c Normal file
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/* mpi-lshift.c - MPI helper functions
* Copyright (C) 1994, 1996, 1998, 2001, 2002 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"
/* Shift U (pointed to by UP and USIZE digits long) CNT bits to the left
* and store the USIZE least significant digits of the result at WP.
* Return the bits shifted out from the most significant digit.
*
* Argument constraints:
* 1. 0 < CNT < BITS_PER_MP_LIMB
* 2. If the result is to be written over the input, WP must be >= UP.
*/
mpi_limb_t
_gcry_mpih_lshift( mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize,
unsigned int cnt)
{
mpi_limb_t high_limb, low_limb;
unsigned sh_1, sh_2;
mpi_size_t i;
mpi_limb_t retval;
sh_1 = cnt;
wp += 1;
sh_2 = BITS_PER_MPI_LIMB - sh_1;
i = usize - 1;
low_limb = up[i];
retval = low_limb >> sh_2;
high_limb = low_limb;
while ( --i >= 0 )
{
low_limb = up[i];
wp[i] = (high_limb << sh_1) | (low_limb >> sh_2);
high_limb = low_limb;
}
wp[i] = high_limb << sh_1;
return retval;
}

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grub-core/lib/libgcrypt/mpi/generic/mpih-mul1.c Normal file
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/* mpihelp-mul_1.c - MPI helper functions
* Copyright (C) 1994, 1996, 1997, 1998, 2001,
* 2002 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"
mpi_limb_t
_gcry_mpih_mul_1( mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
mpi_limb_t s2_limb)
{
mpi_limb_t cy_limb;
mpi_size_t j;
mpi_limb_t prod_high, prod_low;
/* The loop counter and index J goes from -S1_SIZE to -1. This way
* the loop becomes faster. */
j = -s1_size;
/* Offset the base pointers to compensate for the negative indices. */
s1_ptr -= j;
res_ptr -= j;
cy_limb = 0;
do
{
umul_ppmm( prod_high, prod_low, s1_ptr[j], s2_limb );
prod_low += cy_limb;
cy_limb = (prod_low < cy_limb?1:0) + prod_high;
res_ptr[j] = prod_low;
}
while( ++j );
return cy_limb;
}

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grub-core/lib/libgcrypt/mpi/generic/mpih-mul2.c Normal file
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/* mpih-mul2.c - MPI helper functions
* Copyright (C) 1994, 1996, 1997, 1998, 2001,
* 2002 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"
mpi_limb_t
_gcry_mpih_addmul_1( mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
mpi_size_t s1_size, mpi_limb_t s2_limb)
{
mpi_limb_t cy_limb;
mpi_size_t j;
mpi_limb_t prod_high, prod_low;
mpi_limb_t x;
/* The loop counter and index J goes from -SIZE to -1. This way
* the loop becomes faster. */
j = -s1_size;
res_ptr -= j;
s1_ptr -= j;
cy_limb = 0;
do
{
umul_ppmm( prod_high, prod_low, s1_ptr[j], s2_limb );
prod_low += cy_limb;
cy_limb = (prod_low < cy_limb?1:0) + prod_high;
x = res_ptr[j];
prod_low = x + prod_low;
cy_limb += prod_low < x?1:0;
res_ptr[j] = prod_low;
}
while ( ++j );
return cy_limb;
}

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grub-core/lib/libgcrypt/mpi/generic/mpih-mul3.c Normal file
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/* mpih-mul3.c - MPI helper functions
* Copyright (C) 1994, 1996, 1997, 1998, 2001,
* 2002 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"
mpi_limb_t
_gcry_mpih_submul_1( mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
mpi_size_t s1_size, mpi_limb_t s2_limb)
{
mpi_limb_t cy_limb;
mpi_size_t j;
mpi_limb_t prod_high, prod_low;
mpi_limb_t x;
/* The loop counter and index J goes from -SIZE to -1. This way
* the loop becomes faster. */
j = -s1_size;
res_ptr -= j;
s1_ptr -= j;
cy_limb = 0;
do
{
umul_ppmm( prod_high, prod_low, s1_ptr[j], s2_limb);
prod_low += cy_limb;
cy_limb = (prod_low < cy_limb?1:0) + prod_high;
x = res_ptr[j];
prod_low = x - prod_low;
cy_limb += prod_low > x?1:0;
res_ptr[j] = prod_low;
}
while( ++j );
return cy_limb;
}

67
grub-core/lib/libgcrypt/mpi/generic/mpih-rshift.c Normal file
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/* mpih-rshift.c - MPI helper functions
* Copyright (C) 1994, 1996, 1998, 1999,
* 2000, 2001, 2002 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"
/* Shift U (pointed to by UP and USIZE limbs long) CNT bits to the right
* and store the USIZE least significant limbs of the result at WP.
* The bits shifted out to the right are returned.
*
* Argument constraints:
* 1. 0 < CNT < BITS_PER_MP_LIMB
* 2. If the result is to be written over the input, WP must be <= UP.
*/
mpi_limb_t
_gcry_mpih_rshift( mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize, unsigned cnt)
{
mpi_limb_t high_limb, low_limb;
unsigned sh_1, sh_2;
mpi_size_t i;
mpi_limb_t retval;
sh_1 = cnt;
wp -= 1;
sh_2 = BITS_PER_MPI_LIMB - sh_1;
high_limb = up[0];
retval = high_limb << sh_2;
low_limb = high_limb;
for (i=1; i < usize; i++)
{
high_limb = up[i];
wp[i] = (low_limb >> sh_1) | (high_limb << sh_2);
low_limb = high_limb;
}
wp[i] = low_limb >> sh_1;
return retval;
}

66
grub-core/lib/libgcrypt/mpi/generic/mpih-sub1.c Normal file
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/* mpihelp-add_2.c - MPI helper functions
* Copyright (C) 1994, 1996, 1997, 1998, 2001,
* 2002 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"
mpi_limb_t
_gcry_mpih_sub_n( mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
mpi_ptr_t s2_ptr, mpi_size_t size)
{
mpi_limb_t x, y, cy;
mpi_size_t j;
/* The loop counter and index J goes from -SIZE to -1. This way
the loop becomes faster. */
j = -size;
/* Offset the base pointers to compensate for the negative indices. */
s1_ptr -= j;
s2_ptr -= j;
res_ptr -= j;
cy = 0;
do
{
y = s2_ptr[j];
x = s1_ptr[j];
y += cy; /* add previous carry to subtrahend */
cy = y < cy; /* get out carry from that addition */
y = x - y; /* main subtract */
cy += y > x; /* get out carry from the subtract, combine */
res_ptr[j] = y;
}
while( ++j );
return cy;
}

133
grub-core/lib/libgcrypt/mpi/generic/udiv-w-sdiv.c Normal file
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/* mpih-w-sdiv -- implement udiv_qrnnd on machines with only signed
* division.
* Copyright (C) 1992, 1994, 1996, 1998, 2002 Free Software Foundation, Inc.
* Contributed by Peter L. Montgomery.
*
* 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"
#if 0 /* not yet ported to MPI */
mpi_limb_t
mpihelp_udiv_w_sdiv( mpi_limp_t *rp,
mpi_limp_t *a1,
mpi_limp_t *a0,
mpi_limp_t *d )
{
mp_limb_t q, r;
mp_limb_t c0, c1, b1;
if ((mpi_limb_signed_t) d >= 0)
{
if (a1 < d - a1 - (a0 >> (BITS_PER_MP_LIMB - 1)))
{
/* dividend, divisor, and quotient are nonnegative */
sdiv_qrnnd (q, r, a1, a0, d);
}
else
{
/* Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d */
sub_ddmmss (c1, c0, a1, a0, d >> 1, d << (BITS_PER_MP_LIMB - 1));
/* Divide (c1*2^32 + c0) by d */
sdiv_qrnnd (q, r, c1, c0, d);
/* Add 2^31 to quotient */
q += (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1);
}
}
else
{
b1 = d >> 1; /* d/2, between 2^30 and 2^31 - 1 */
c1 = a1 >> 1; /* A/2 */
c0 = (a1 << (BITS_PER_MP_LIMB - 1)) + (a0 >> 1);
if (a1 < b1) /* A < 2^32*b1, so A/2 < 2^31*b1 */
{
sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
r = 2*r + (a0 & 1); /* Remainder from A/(2*b1) */
if ((d & 1) != 0)
{
if (r >= q)
r = r - q;
else if (q - r <= d)
{
r = r - q + d;
q--;
}
else
{
r = r - q + 2*d;
q -= 2;
}
}
}
else if (c1 < b1) /* So 2^31 <= (A/2)/b1 < 2^32 */
{
c1 = (b1 - 1) - c1;
c0 = ~c0; /* logical NOT */
sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
q = ~q; /* (A/2)/b1 */
r = (b1 - 1) - r;
r = 2*r + (a0 & 1); /* A/(2*b1) */
if ((d & 1) != 0)
{
if (r >= q)
r = r - q;
else if (q - r <= d)
{
r = r - q + d;
q--;
}
else
{
r = r - q + 2*d;
q -= 2;
}
}
}
else /* Implies c1 = b1 */
{ /* Hence a1 = d - 1 = 2*b1 - 1 */
if (a0 >= -d)
{
q = -1;
r = a0 + d;
}
else
{
q = -2;
r = a0 + 2*d;
}
}
}
*rp = r;
return q;
}
#endif