divdi3.c

/* 64-bit multiplication and division
   Copyright (C) 1989, 1992-2018 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
   <http://www.gnu.org/licenses/>.  */

#include <endian.h>
#include <stdlib.h>
#include <bits/wordsize.h>

#if __WORDSIZE != 32
#error This is for 32-bit targets only
#endif

typedef unsigned int UQItype	__attribute__ ((mode (QI)));
typedef          int SItype	__attribute__ ((mode (SI)));
typedef unsigned int USItype	__attribute__ ((mode (SI)));
typedef          int DItype	__attribute__ ((mode (DI)));
typedef unsigned int UDItype	__attribute__ ((mode (DI)));
#define Wtype SItype
#define HWtype SItype
#define DWtype DItype
#define UWtype USItype
#define UHWtype USItype
#define UDWtype UDItype
#define W_TYPE_SIZE 32

#include <stdlib/longlong.h>

#if __BYTE_ORDER == __BIG_ENDIAN
struct DWstruct { Wtype high, low;};
#elif __BYTE_ORDER == __LITTLE_ENDIAN
struct DWstruct { Wtype low, high;};
#else
#error Unhandled endianity
#endif
typedef union { struct DWstruct s; DWtype ll; } DWunion;

/* Prototypes of exported functions.  */
extern DWtype __divdi3 (DWtype u, DWtype v);
extern DWtype __moddi3 (DWtype u, DWtype v);
extern UDWtype __udivdi3 (UDWtype u, UDWtype v);
extern UDWtype __umoddi3 (UDWtype u, UDWtype v);

static UDWtype
__udivmoddi4 (UDWtype n, UDWtype d, UDWtype *rp)
{
  DWunion ww;
  DWunion nn, dd;
  DWunion rr;
  UWtype d0, d1, n0, n1, n2;
  UWtype q0, q1;
  UWtype b, bm;

  nn.ll = n;
  dd.ll = d;

  d0 = dd.s.low;
  d1 = dd.s.high;
  n0 = nn.s.low;
  n1 = nn.s.high;

#if !UDIV_NEEDS_NORMALIZATION
  if (d1 == 0)
    {
      if (d0 > n1)
	{
	  /* 0q = nn / 0D */

	  udiv_qrnnd (q0, n0, n1, n0, d0);
	  q1 = 0;

	  /* Remainder in n0.  */
	}
      else
	{
	  /* qq = NN / 0d */

	  if (d0 == 0)
	    d0 = 1 / d0;	/* Divide intentionally by zero.  */

	  udiv_qrnnd (q1, n1, 0, n1, d0);
	  udiv_qrnnd (q0, n0, n1, n0, d0);

	  /* Remainder in n0.  */
	}

      if (rp != 0)
	{
	  rr.s.low = n0;
	  rr.s.high = 0;
	  *rp = rr.ll;
	}
    }

#else /* UDIV_NEEDS_NORMALIZATION */

  if (d1 == 0)
    {
      if (d0 > n1)
	{
	  /* 0q = nn / 0D */

	  count_leading_zeros (bm, d0);

	  if (bm != 0)
	    {
	      /* Normalize, i.e. make the most significant bit of the
		 denominator set.  */

	      d0 = d0 << bm;
	      n1 = (n1 << bm) | (n0 >> (W_TYPE_SIZE - bm));
	      n0 = n0 << bm;
	    }

	  udiv_qrnnd (q0, n0, n1, n0, d0);
	  q1 = 0;

	  /* Remainder in n0 >> bm.  */
	}
      else
	{
	  /* qq = NN / 0d */

	  if (d0 == 0)
	    d0 = 1 / d0;	/* Divide intentionally by zero.  */

	  count_leading_zeros (bm, d0);

	  if (bm == 0)
	    {
	      /* From (n1 >= d0) /\ (the most significant bit of d0 is set),
		 conclude (the most significant bit of n1 is set) /\ (the
		 leading quotient digit q1 = 1).

		 This special case is necessary, not an optimization.
		 (Shifts counts of W_TYPE_SIZE are undefined.)  */

	      n1 -= d0;
	      q1 = 1;
	    }
	  else
	    {
	      /* Normalize.  */

	      b = W_TYPE_SIZE - bm;

	      d0 = d0 << bm;
	      n2 = n1 >> b;
	      n1 = (n1 << bm) | (n0 >> b);
	      n0 = n0 << bm;

	      udiv_qrnnd (q1, n1, n2, n1, d0);
	    }

	  /* n1 != d0...  */

	  udiv_qrnnd (q0, n0, n1, n0, d0);

	  /* Remainder in n0 >> bm.  */
	}

      if (rp != 0)
	{
	  rr.s.low = n0 >> bm;
	  rr.s.high = 0;
	  *rp = rr.ll;
	}
    }
#endif /* UDIV_NEEDS_NORMALIZATION */

  else
    {
      if (d1 > n1)
	{
	  /* 00 = nn / DD */

	  q0 = 0;
	  q1 = 0;

	  /* Remainder in n1n0.  */
	  if (rp != 0)
	    {
	      rr.s.low = n0;
	      rr.s.high = n1;
	      *rp = rr.ll;
	    }
	}
      else
	{
	  /* 0q = NN / dd */

	  count_leading_zeros (bm, d1);
	  if (bm == 0)
	    {
	      /* From (n1 >= d1) /\ (the most significant bit of d1 is set),
		 conclude (the most significant bit of n1 is set) /\ (the
		 quotient digit q0 = 0 or 1).

		 This special case is necessary, not an optimization.  */

	      /* The condition on the next line takes advantage of that
		 n1 >= d1 (true due to program flow).  */
	      if (n1 > d1 || n0 >= d0)
		{
		  q0 = 1;
		  sub_ddmmss (n1, n0, n1, n0, d1, d0);
		}
	      else
		q0 = 0;

	      q1 = 0;

	      if (rp != 0)
		{
		  rr.s.low = n0;
		  rr.s.high = n1;
		  *rp = rr.ll;
		}
	    }
	  else
	    {
	      UWtype m1, m0;
	      /* Normalize.  */

	      b = W_TYPE_SIZE - bm;

	      d1 = (d1 << bm) | (d0 >> b);
	      d0 = d0 << bm;
	      n2 = n1 >> b;
	      n1 = (n1 << bm) | (n0 >> b);
	      n0 = n0 << bm;

	      udiv_qrnnd (q0, n1, n2, n1, d1);
	      umul_ppmm (m1, m0, q0, d0);

	      if (m1 > n1 || (m1 == n1 && m0 > n0))
		{
		  q0--;
		  sub_ddmmss (m1, m0, m1, m0, d1, d0);
		}

	      q1 = 0;

	      /* Remainder in (n1n0 - m1m0) >> bm.  */
	      if (rp != 0)
		{
		  sub_ddmmss (n1, n0, n1, n0, m1, m0);
		  rr.s.low = (n1 << b) | (n0 >> bm);
		  rr.s.high = n1 >> bm;
		  *rp = rr.ll;
		}
	    }
	}
    }

  ww.s.low = q0;
  ww.s.high = q1;
  return ww.ll;
}

DWtype
__divdi3 (DWtype u, DWtype v)
{
  Wtype c = 0;
  DWtype w;

  if (u < 0)
    {
      c = ~c;
      u = -u;
    }
  if (v < 0)
    {
      c = ~c;
      v = -v;
    }
  w = __udivmoddi4 (u, v, NULL);
  if (c)
    w = -w;
  return w;
}
strong_alias (__divdi3, __divdi3_internal)

DWtype
__moddi3 (DWtype u, DWtype v)
{
  Wtype c = 0;
  DWtype w;

  if (u < 0)
    {
      c = ~c;
      u = -u;
    }
  if (v < 0)
    v = -v;
  __udivmoddi4 (u, v, (UDWtype *) &w);
  if (c)
    w = -w;
  return w;
}
strong_alias (__moddi3, __moddi3_internal)

UDWtype
__udivdi3 (UDWtype u, UDWtype v)
{
  return __udivmoddi4 (u, v, NULL);
}
strong_alias (__udivdi3, __udivdi3_internal)

UDWtype
__umoddi3 (UDWtype u, UDWtype v)
{
  UDWtype w;

  __udivmoddi4 (u, v, &w);
  return w;
}
strong_alias (__umoddi3, __umoddi3_internal)

/* We declare these with compat_symbol so that they are not visible at
   link time.  Programs must use the functions from libgcc.  */
#ifdef SHARED
# include <shlib-compat.h>
compat_symbol (libc, __divdi3, __divdi3, GLIBC_2_0);
compat_symbol (libc, __moddi3, __moddi3, GLIBC_2_0);
compat_symbol (libc, __udivdi3, __udivdi3, GLIBC_2_0);
compat_symbol (libc, __umoddi3, __umoddi3, GLIBC_2_0);
#endif