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authorArd Biesheuvel <ardb@kernel.org>2022-01-18 19:32:17 +0100
committerRussell King (Oracle) <rmk+kernel@armlinux.org.uk>2022-01-19 11:10:54 +0000
commit9f80ccda53b9417236945bc7ece4b519037df74d (patch)
tree50c3e354b5f42fb421b6cda47225ac16fc271f4e /include/uapi/linux/errqueue.h
parentARM: 9179/1: uaccess: avoid alignment faults in copy_[from|to]_kernel_nofault (diff)
ARM: 9180/1: Thumb2: align ALT_UP() sections in modules sufficiently
When building for Thumb2, the .alt.smp.init sections that are emitted by the ALT_UP() patching code may not be 32-bit aligned, even though the fixup_smp_on_up() routine expects that. This results in alignment faults at module load time, which need to be fixed up by the fault handler. So let's align those sections explicitly, and prevent this from occurring. Cc: <stable@vger.kernel.org> Signed-off-by: Ard Biesheuvel <ardb@kernel.org> Signed-off-by: Russell King (Oracle) <rmk+kernel@armlinux.org.uk>
Diffstat (limited to 'include/uapi/linux/errqueue.h')
0 files changed, 0 insertions, 0 deletions
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/* Copyright (C) 1997-2021 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library 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.

   The GNU C Library 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 the GNU C Library; if not, see
   <https://www.gnu.org/licenses/>.  */

#include <stdio.h>
#include <math.h>
#include <gmp.h>
#include <string.h>
#include <limits.h>
#include <assert.h>
#include <stdlib.h>

#define PRINT_ERRORS 0

#define TOL 80
#define N2 18
#define FRAC (32*4)

#define mpbpl (CHAR_BIT * sizeof (mp_limb_t))
#define SZ (FRAC / mpbpl + 1)
typedef mp_limb_t mp1[SZ], mp2[SZ * 2];

#if BITS_PER_MP_LIMB == 64
# define LIMB64(L, H) 0x ## H ## L
#elif BITS_PER_MP_LIMB == 32
# define LIMB64(L, H) 0x ## L, 0x ## H
#else
# error
#endif

/* Once upon a time these constants were generated to 400 bits.
   We only need FRAC bits (128) at present, but we retain 384 bits
   in the text Just In Case.  */
#define CONSTSZ(INT, F1, F2, F3, F4, F5, F6, F7, F8, F9, Fa, Fb, Fc) \
	LIMB64(F4, F3), LIMB64(F2, F1), INT

static const mp1 mp_exp1 = {
  CONSTSZ (2, b7e15162, 8aed2a6a, bf715880, 9cf4f3c7, 62e7160f, 38b4da56,
           a784d904, 5190cfef, 324e7738, 926cfbe5, f4bf8d8d, 8c31d763)
};

static const mp1 mp_log2 = {
  CONSTSZ (0, b17217f7, d1cf79ab, c9e3b398, 03f2f6af, 40f34326, 7298b62d,
           8a0d175b, 8baafa2b, e7b87620, 6debac98, 559552fb, 4afa1b10)
};

static void
print_mpn_fp (const mp_limb_t *x, unsigned int dp, unsigned int base)
{
   static const char hexdig[16] = "0123456789abcdef";
   unsigned int i;
   mp1 tx;

   memcpy (tx, x, sizeof (mp1));
   if (base == 16)
     fputs ("0x", stdout);
   assert (x[SZ-1] < base);
   fputc (hexdig[x[SZ - 1]], stdout);
   fputc ('.', stdout);
   for (i = 0; i < dp; i++)
     {
       tx[SZ - 1] = 0;
       mpn_mul_1 (tx, tx, SZ, base);
       assert (tx[SZ - 1] < base);
       fputc (hexdig[tx[SZ - 1]], stdout);
     }
}

/* Compute e^x.  */
static void
exp_mpn (mp1 ex, mp1 x)
{
   unsigned int n;
   mp1 xp;
   mp2 tmp;
   mp_limb_t chk __attribute__ ((unused));
   mp1 tol;

   memset (xp, 0, sizeof (mp1));
   memset (ex, 0, sizeof (mp1));
   xp[FRAC / mpbpl] = (mp_limb_t)1 << FRAC % mpbpl;
   memset (tol, 0, sizeof (mp1));
   tol[(FRAC - TOL) / mpbpl] = (mp_limb_t)1 << (FRAC - TOL) % mpbpl;

   n = 0;

   do
     {
       /* Calculate sum(x^n/n!) until the next term is sufficiently small.  */

       mpn_mul_n (tmp, xp, x, SZ);
       assert(tmp[SZ * 2 - 1] == 0);
       if (n > 0)
	 mpn_divmod_1 (xp, tmp + FRAC / mpbpl, SZ, n);
       chk = mpn_add_n (ex, ex, xp, SZ);
       assert (chk == 0);
       ++n;
       assert (n < 80); /* Catch too-high TOL.  */
     }
   while (n < 10 || mpn_cmp (xp, tol, SZ) >= 0);
}

/* Calculate 2^x.  */
static void
exp2_mpn (mp1 ex, mp1 x)
{
  mp2 tmp;
  mpn_mul_n (tmp, x, mp_log2, SZ);
  assert(tmp[SZ * 2 - 1] == 0);
  exp_mpn (ex, tmp + FRAC / mpbpl);
}


static int
mpn_bitsize(const mp_limb_t *SRC_PTR, mp_size_t SIZE)
{
  int i, j;
  for (i = SIZE - 1; i > 0; --i)
    if (SRC_PTR[i] != 0)
      break;
  for (j = mpbpl - 1; j >= 0; --j)
    if ((SRC_PTR[i] & (mp_limb_t)1 << j) != 0)
      break;

  return i * mpbpl + j;
}

static int
do_test (void)
{
  mp1 ex, x, xt, e2, e3;
  int i;
  int errors = 0;
  int failures = 0;
  mp1 maxerror;
  int maxerror_s = 0;
  const double sf = pow (2, mpbpl);

  /* assert(mpbpl == mp_bits_per_limb); */
  assert(FRAC / mpbpl * mpbpl == FRAC);

  memset (maxerror, 0, sizeof (mp1));
  memset (xt, 0, sizeof (mp1));
  xt[(FRAC - N2) / mpbpl] = (mp_limb_t)1 << (FRAC - N2) % mpbpl;

  for (i = 0; i < (1 << N2); ++i)
    {
      int e2s, e3s, j;
      double de2;

      mpn_mul_1 (x, xt, SZ, i);
      exp2_mpn (ex, x);
      de2 = exp2 (i / (double) (1 << N2));
      for (j = SZ - 1; j >= 0; --j)
	{
	  e2[j] = (mp_limb_t) de2;
	  de2 = (de2 - e2[j]) * sf;
	}
      if (mpn_cmp (ex, e2, SZ) >= 0)
	mpn_sub_n (e3, ex, e2, SZ);
      else
	mpn_sub_n (e3, e2, ex, SZ);

      e2s = mpn_bitsize (e2, SZ);
      e3s = mpn_bitsize (e3, SZ);
      if (e3s >= 0 && e2s - e3s < 54)
	{
#if PRINT_ERRORS
	  printf ("%06x ", i * (0x100000 / (1 << N2)));
	  print_mpn_fp (ex, (FRAC / 4) + 1, 16);
	  putchar ('\n');
	  fputs ("       ",stdout);
	  print_mpn_fp (e2, (FRAC / 4) + 1, 16);
	  putchar ('\n');
	  printf (" %c     ",
		  e2s - e3s < 54 ? e2s - e3s == 53 ? 'e' : 'F' : 'P');
	  print_mpn_fp (e3, (FRAC / 4) + 1, 16);
	  putchar ('\n');
#endif
	  errors += (e2s - e3s == 53);
	  failures += (e2s - e3s < 53);
	}
      if (e3s >= maxerror_s
	  && mpn_cmp (e3, maxerror, SZ) > 0)
	{
	  memcpy (maxerror, e3, sizeof (mp1));
	  maxerror_s = e3s;
	}
    }

  /* Check exp_mpn against precomputed value of exp(1).  */
  memset (x, 0, sizeof (mp1));
  x[FRAC / mpbpl] = (mp_limb_t)1 << FRAC % mpbpl;
  exp_mpn (ex, x);
  if (mpn_cmp (ex, mp_exp1, SZ) >= 0)
    mpn_sub_n (e3, ex, mp_exp1, SZ);
  else
    mpn_sub_n (e3, mp_exp1, ex, SZ);

  printf ("%d failures; %d errors; error rate %0.2f%%\n", failures, errors,
	  errors * 100.0 / (double) (1 << N2));
  fputs ("maximum error:   ", stdout);
  print_mpn_fp (maxerror, (FRAC / 4) + 1, 16);
  putchar ('\n');
  fputs ("error in exp(1): ", stdout);
  print_mpn_fp (e3, (FRAC / 4) + 1, 16);
  putchar ('\n');

  return failures == 0 ? 0 : 1;
}

#define TIMEOUT 300
#define TEST_FUNCTION do_test ()
#include "../test-skeleton.c"