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prlong.c (5522B)


      1 /* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
      2 /* This Source Code Form is subject to the terms of the Mozilla Public
      3 * License, v. 2.0. If a copy of the MPL was not distributed with this
      4 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
      5 
      6 #include "prlong.h"
      7 
      8 static PRInt64 ll_zero = PR_INT64(0x0000000000000000);
      9 static PRInt64 ll_maxint = PR_INT64(0x7fffffffffffffff);
     10 static PRInt64 ll_minint = PR_INT64(0x8000000000000000);
     11 static PRUint64 ll_maxuint = PR_UINT64(0xffffffffffffffff);
     12 
     13 PR_IMPLEMENT(PRInt64) LL_Zero(void) { return ll_zero; }
     14 PR_IMPLEMENT(PRInt64) LL_MaxInt(void) { return ll_maxint; }
     15 PR_IMPLEMENT(PRInt64) LL_MinInt(void) { return ll_minint; }
     16 PR_IMPLEMENT(PRUint64) LL_MaxUint(void) { return ll_maxuint; }
     17 
     18 #ifndef HAVE_LONG_LONG
     19 /*
     20 ** Divide 64-bit a by 32-bit b, which must be normalized so its high bit is 1.
     21 */
     22 static void norm_udivmod32(PRUint32* qp, PRUint32* rp, PRUint64 a, PRUint32 b) {
     23  PRUint32 d1, d0, q1, q0;
     24  PRUint32 r1, r0, m;
     25 
     26  d1 = _hi16(b);
     27  d0 = _lo16(b);
     28  r1 = a.hi % d1;
     29  q1 = a.hi / d1;
     30  m = q1 * d0;
     31  r1 = (r1 << 16) | _hi16(a.lo);
     32  if (r1 < m) {
     33    q1--, r1 += b;
     34    if (r1 >= b /* i.e., we didn't get a carry when adding to r1 */
     35        && r1 < m) {
     36      q1--, r1 += b;
     37    }
     38  }
     39  r1 -= m;
     40  r0 = r1 % d1;
     41  q0 = r1 / d1;
     42  m = q0 * d0;
     43  r0 = (r0 << 16) | _lo16(a.lo);
     44  if (r0 < m) {
     45    q0--, r0 += b;
     46    if (r0 >= b && r0 < m) {
     47      q0--, r0 += b;
     48    }
     49  }
     50  *qp = (q1 << 16) | q0;
     51  *rp = r0 - m;
     52 }
     53 
     54 static PRUint32 CountLeadingZeros(PRUint32 a) {
     55  PRUint32 t;
     56  PRUint32 r = 32;
     57 
     58  if ((t = a >> 16) != 0) {
     59    r -= 16, a = t;
     60  }
     61  if ((t = a >> 8) != 0) {
     62    r -= 8, a = t;
     63  }
     64  if ((t = a >> 4) != 0) {
     65    r -= 4, a = t;
     66  }
     67  if ((t = a >> 2) != 0) {
     68    r -= 2, a = t;
     69  }
     70  if ((t = a >> 1) != 0) {
     71    r -= 1, a = t;
     72  }
     73  if (a & 1) {
     74    r--;
     75  }
     76  return r;
     77 }
     78 
     79 PR_IMPLEMENT(void)
     80 ll_udivmod(PRUint64* qp, PRUint64* rp, PRUint64 a, PRUint64 b) {
     81  PRUint32 n0, n1, n2;
     82  PRUint32 q0, q1;
     83  PRUint32 rsh, lsh;
     84 
     85  n0 = a.lo;
     86  n1 = a.hi;
     87 
     88  if (b.hi == 0) {
     89    if (b.lo > n1) {
     90      /* (0 q0) = (n1 n0) / (0 D0) */
     91 
     92      lsh = CountLeadingZeros(b.lo);
     93 
     94      if (lsh) {
     95        /*
     96         * Normalize, i.e. make the most significant bit of the
     97         * denominator be set.
     98         */
     99        b.lo = b.lo << lsh;
    100        n1 = (n1 << lsh) | (n0 >> (32 - lsh));
    101        n0 = n0 << lsh;
    102      }
    103 
    104      a.lo = n0, a.hi = n1;
    105      norm_udivmod32(&q0, &n0, a, b.lo);
    106      q1 = 0;
    107 
    108      /* remainder is in n0 >> lsh */
    109    } else {
    110      /* (q1 q0) = (n1 n0) / (0 d0) */
    111 
    112      if (b.lo == 0) {   /* user wants to divide by zero! */
    113        b.lo = 1 / b.lo; /* so go ahead and crash */
    114      }
    115 
    116      lsh = CountLeadingZeros(b.lo);
    117 
    118      if (lsh == 0) {
    119        /*
    120         * From (n1 >= b.lo)
    121         *   && (the most significant bit of b.lo is set),
    122         * conclude that
    123         *  (the most significant bit of n1 is set)
    124         *   && (the leading quotient digit q1 = 1).
    125         *
    126         * This special case is necessary, not an optimization
    127         * (Shifts counts of 32 are undefined).
    128         */
    129        n1 -= b.lo;
    130        q1 = 1;
    131      } else {
    132        /*
    133         * Normalize.
    134         */
    135        rsh = 32 - lsh;
    136 
    137        b.lo = b.lo << lsh;
    138        n2 = n1 >> rsh;
    139        n1 = (n1 << lsh) | (n0 >> rsh);
    140        n0 = n0 << lsh;
    141 
    142        a.lo = n1, a.hi = n2;
    143        norm_udivmod32(&q1, &n1, a, b.lo);
    144      }
    145 
    146      /* n1 != b.lo... */
    147 
    148      a.lo = n0, a.hi = n1;
    149      norm_udivmod32(&q0, &n0, a, b.lo);
    150 
    151      /* remainder in n0 >> lsh */
    152    }
    153 
    154    if (rp) {
    155      rp->lo = n0 >> lsh;
    156      rp->hi = 0;
    157    }
    158  } else {
    159    if (b.hi > n1) {
    160      /* (0 0) = (n1 n0) / (D1 d0) */
    161 
    162      q0 = 0;
    163      q1 = 0;
    164 
    165      /* remainder in (n1 n0) */
    166      if (rp) {
    167        rp->lo = n0;
    168        rp->hi = n1;
    169      }
    170    } else {
    171      /* (0 q0) = (n1 n0) / (d1 d0) */
    172 
    173      lsh = CountLeadingZeros(b.hi);
    174      if (lsh == 0) {
    175        /*
    176         * From (n1 >= b.hi)
    177         *   && (the most significant bit of b.hi is set),
    178         * conclude that
    179         *      (the most significant bit of n1 is set)
    180         *   && (the quotient digit q0 = 0 or 1).
    181         *
    182         * This special case is necessary, not an optimization.
    183         */
    184 
    185        /*
    186         * The condition on the next line takes advantage of that
    187         * n1 >= b.hi (true due to control flow).
    188         */
    189        if (n1 > b.hi || n0 >= b.lo) {
    190          q0 = 1;
    191          a.lo = n0, a.hi = n1;
    192          LL_SUB(a, a, b);
    193        } else {
    194          q0 = 0;
    195        }
    196        q1 = 0;
    197 
    198        if (rp) {
    199          rp->lo = n0;
    200          rp->hi = n1;
    201        }
    202      } else {
    203        PRInt64 m;
    204 
    205        /*
    206         * Normalize.
    207         */
    208        rsh = 32 - lsh;
    209 
    210        b.hi = (b.hi << lsh) | (b.lo >> rsh);
    211        b.lo = b.lo << lsh;
    212        n2 = n1 >> rsh;
    213        n1 = (n1 << lsh) | (n0 >> rsh);
    214        n0 = n0 << lsh;
    215 
    216        a.lo = n1, a.hi = n2;
    217        norm_udivmod32(&q0, &n1, a, b.hi);
    218        LL_MUL32(m, q0, b.lo);
    219 
    220        if ((m.hi > n1) || ((m.hi == n1) && (m.lo > n0))) {
    221          q0--;
    222          LL_SUB(m, m, b);
    223        }
    224 
    225        q1 = 0;
    226 
    227        /* Remainder is ((n1 n0) - (m1 m0)) >> lsh */
    228        if (rp) {
    229          a.lo = n0, a.hi = n1;
    230          LL_SUB(a, a, m);
    231          rp->lo = (a.hi << rsh) | (a.lo >> lsh);
    232          rp->hi = a.hi >> lsh;
    233        }
    234      }
    235    }
    236  }
    237 
    238  if (qp) {
    239    qp->lo = q0;
    240    qp->hi = q1;
    241  }
    242 }
    243 #endif /* !HAVE_LONG_LONG */