/* -*- Mode: C; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*- * * The contents of this file are subject to the Netscape Public License * Version 1.0 (the "NPL"); you may not use this file except in * compliance with the NPL. You may obtain a copy of the NPL at * http://www.mozilla.org/NPL/ * * Software distributed under the NPL is distributed on an "AS IS" basis, * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the NPL * for the specific language governing rights and limitations under the * NPL. * * The Initial Developer of this code under the NPL is Netscape * Communications Corporation. Portions created by Netscape are * Copyright (C) 1998 Netscape Communications Corporation. All Rights * Reserved. */ /* * PR 64-bit int package. */ #include #include "prlong.h" #include "prprintf.h" #ifndef HAVE_LONG_LONG #ifdef IS_LITTLE_ENDIAN PR_PUBLIC_API(int64) LL_MAXINT = { 0xffffffff, 0x7fffffff }; PR_PUBLIC_API(int64) LL_MININT = { 0x00000000, 0x80000000 }; #else PR_PUBLIC_API(int64) LL_MAXINT = { 0x7fffffff, 0xffffffff }; PR_PUBLIC_API(int64) LL_MININT = { 0x80000000, 0x00000000 }; #endif PR_PUBLIC_API(int64) LL_ZERO = { 0x00000000, 0x00000000 }; /* * Divide 64-bit a by 32-bit b, which must be normalized so its high bit is 1. */ static void norm_udivmod32(uint32 *qp, uint32 *rp, uint64 a, uint32 b) { uint32 d1, d0, q1, q0; uint32 r1, r0, m; d1 = _hi16(b); d0 = _lo16(b); r1 = a.hi % d1; q1 = a.hi / d1; m = q1 * d0; r1 = (r1 << 16) | _hi16(a.lo); if (r1 < m) { q1--, r1 += b; if (r1 >= b /* i.e., we didn't get a carry when adding to r1 */ && r1 < m) { q1--, r1 += b; } } r1 -= m; r0 = r1 % d1; q0 = r1 / d1; m = q0 * d0; r0 = (r0 << 16) | _lo16(a.lo); if (r0 < m) { q0--, r0 += b; if (r0 >= b && r0 < m) { q0--, r0 += b; } } *qp = (q1 << 16) | q0; *rp = r0 - m; } static uint32 CountLeadingZeros(uint32 a) { uint32 t; uint32 r = 32; if ((t = a >> 16) != 0) r -= 16, a = t; if ((t = a >> 8) != 0) r -= 8, a = t; if ((t = a >> 4) != 0) r -= 4, a = t; if ((t = a >> 2) != 0) r -= 2, a = t; if ((t = a >> 1) != 0) r -= 1, a = t; if (a & 1) r--; return r; } PR_PUBLIC_API(void) ll_udivmod(uint64 *qp, uint64 *rp, uint64 a, uint64 b) { uint32 n0, n1, n2; uint32 q0, q1; uint32 rsh, lsh; n0 = a.lo; n1 = a.hi; if (b.hi == 0) { if (b.lo > n1) { /* (0 q0) = (n1 n0) / (0 D0) */ lsh = CountLeadingZeros(b.lo); if (lsh) { /* * Normalize, i.e. make the most significant bit of the * denominator be set. */ b.lo = b.lo << lsh; n1 = (n1 << lsh) | (n0 >> (32 - lsh)); n0 = n0 << lsh; } a.lo = n0, a.hi = n1; norm_udivmod32(&q0, &n0, a, b.lo); q1 = 0; /* remainder is in n0 >> lsh */ } else { /* (q1 q0) = (n1 n0) / (0 d0) */ if (b.lo == 0) /* user wants to divide by zero! */ b.lo = 1 / b.lo; /* so go ahead and crash */ lsh = CountLeadingZeros(b.lo); if (lsh == 0) { /* * From (n1 >= b.lo) * && (the most significant bit of b.lo is set), * conclude that * (the most significant bit of n1 is set) * && (the leading quotient digit q1 = 1). * * This special case is necessary, not an optimization * (shift counts of 32 are undefined). */ n1 -= b.lo; q1 = 1; } else { /* * Normalize. */ rsh = 32 - lsh; b.lo = b.lo << lsh; n2 = n1 >> rsh; n1 = (n1 << lsh) | (n0 >> rsh); n0 = n0 << lsh; a.lo = n1, a.hi = n2; norm_udivmod32(&q1, &n1, a, b.lo); } /* n1 != b.lo... */ a.lo = n0, a.hi = n1; norm_udivmod32(&q0, &n0, a, b.lo); /* remainder in n0 >> lsh */ } if (rp) { rp->lo = n0 >> lsh; rp->hi = 0; } } else { if (b.hi > n1) { /* (0 0) = (n1 n0) / (D1 d0) */ q0 = 0; q1 = 0; /* remainder in (n1 n0) */ if (rp) { rp->lo = n0; rp->hi = n1; } } else { /* (0 q0) = (n1 n0) / (d1 d0) */ lsh = CountLeadingZeros(b.hi); if (lsh == 0) { /* * From (n1 >= b.hi) * && (the most significant bit of b.hi is set), * conclude that * (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 >= b.hi (true due to control flow). */ if (n1 > b.hi || n0 >= b.lo) { q0 = 1; a.lo = n0, a.hi = n1; LL_SUB(a, a, b); } else { q0 = 0; } q1 = 0; if (rp) { rp->lo = n0; rp->hi = n1; } } else { int64 m; /* * Normalize. */ rsh = 32 - lsh; b.hi = (b.hi << lsh) | (b.lo >> rsh); b.lo = b.lo << lsh; n2 = n1 >> rsh; n1 = (n1 << lsh) | (n0 >> rsh); n0 = n0 << lsh; a.lo = n1, a.hi = n2; norm_udivmod32(&q0, &n1, a, b.hi); LL_MUL32(m, q0, b.lo); if ((m.hi > n1) || ((m.hi == n1) && (m.lo > n0))) { q0--; LL_SUB(m, m, b); } q1 = 0; /* Remainder is ((n1 n0) - (m1 m0)) >> lsh */ if (rp) { a.lo = n0, a.hi = n1; LL_SUB(a, a, m); rp->lo = (a.hi << rsh) | (a.lo >> lsh); rp->hi = a.hi >> lsh; } } } } if (qp) { qp->lo = q0; qp->hi = q1; } } #endif /* !HAVE_LONG_LONG */ PR_PUBLIC_API(char *) LL_TO_S(int64 n, int radix, char *s, size_t slen) { switch (radix) { case 8: PR_snprintf(s, slen, "%llo", n); break; case 16: PR_snprintf(s, slen, "%llx", n); break; case -10: PR_snprintf(s, slen, "%llu", n); break; default: PR_snprintf(s, slen, "%lld", n); break; } return s; }