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+// Inferno utils/8c/div.c
+// http://code.google.com/p/inferno-os/source/browse/utils/8c/div.c
+//
+// Copyright © 1994-1999 Lucent Technologies Inc. All rights reserved.
+// Portions Copyright © 1995-1997 C H Forsyth (forsyth@terzarima.net)
+// Portions Copyright © 1997-1999 Vita Nuova Limited
+// Portions Copyright © 2000-2007 Vita Nuova Holdings Limited (www.vitanuova.com)
+// Portions Copyright © 2004,2006 Bruce Ellis
+// Portions Copyright © 2005-2007 C H Forsyth (forsyth@terzarima.net)
+// Revisions Copyright © 2000-2007 Lucent Technologies Inc. and others
+// Portions Copyright © 2009 The Go Authors. All rights reserved.
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+// THE SOFTWARE.
+
+#include "gc.h"
+
+/*
+ * Based on: Granlund, T.; Montgomery, P.L.
+ * "Division by Invariant Integers using Multiplication".
+ * SIGPLAN Notices, Vol. 29, June 1994, page 61.
+ */
+
+#define TN(n) ((uvlong)1 << (n))
+#define T31 TN(31)
+#define T32 TN(32)
+
+int
+multiplier(ulong d, int p, uvlong *mp)
+{
+ int l;
+ uvlong mlo, mhi, tlo, thi;
+
+ l = topbit(d - 1) + 1;
+ mlo = (((TN(l) - d) << 32) / d) + T32;
+ if(l + p == 64)
+ mhi = (((TN(l) + 1 - d) << 32) / d) + T32;
+ else
+ mhi = (TN(32 + l) + TN(32 + l - p)) / d;
+ /*assert(mlo < mhi);*/
+ while(l > 0) {
+ tlo = mlo >> 1;
+ thi = mhi >> 1;
+ if(tlo == thi)
+ break;
+ mlo = tlo;
+ mhi = thi;
+ l--;
+ }
+ *mp = mhi;
+ return l;
+}
+
+int
+sdiv(ulong d, ulong *mp, int *sp)
+{
+ int s;
+ uvlong m;
+
+ s = multiplier(d, 32 - 1, &m);
+ *mp = m;
+ *sp = s;
+ if(m >= T31)
+ return 1;
+ else
+ return 0;
+}
+
+int
+udiv(ulong d, ulong *mp, int *sp, int *pp)
+{
+ int p, s;
+ uvlong m;
+
+ s = multiplier(d, 32, &m);
+ p = 0;
+ if(m >= T32) {
+ while((d & 1) == 0) {
+ d >>= 1;
+ p++;
+ }
+ s = multiplier(d, 32 - p, &m);
+ }
+ *mp = m;
+ *pp = p;
+ if(m >= T32) {
+ /*assert(p == 0);*/
+ *sp = s - 1;
+ return 1;
+ }
+ else {
+ *sp = s;
+ return 0;
+ }
+}
+
+void
+sdivgen(Node *l, Node *r, Node *ax, Node *dx)
+{
+ int a, s;
+ ulong m;
+ vlong c;
+
+ c = r->vconst;
+ if(c < 0)
+ c = -c;
+ a = sdiv(c, &m, &s);
+//print("a=%d i=%ld s=%d m=%lux\n", a, (long)r->vconst, s, m);
+ gins(AMOVL, nodconst(m), ax);
+ gins(AIMULL, l, Z);
+ gins(AMOVL, l, ax);
+ if(a)
+ gins(AADDL, ax, dx);
+ gins(ASHRL, nodconst(31), ax);
+ gins(ASARL, nodconst(s), dx);
+ gins(AADDL, ax, dx);
+ if(r->vconst < 0)
+ gins(ANEGL, Z, dx);
+}
+
+void
+udivgen(Node *l, Node *r, Node *ax, Node *dx)
+{
+ int a, s, t;
+ ulong m;
+ Node nod;
+
+ a = udiv(r->vconst, &m, &s, &t);
+//print("a=%ud i=%ld p=%d s=%d m=%lux\n", a, (long)r->vconst, t, s, m);
+ if(t != 0) {
+ gins(AMOVL, l, ax);
+ gins(ASHRL, nodconst(t), ax);
+ gins(AMOVL, nodconst(m), dx);
+ gins(AMULL, dx, Z);
+ }
+ else if(a) {
+ if(l->op != OREGISTER) {
+ regalloc(&nod, l, Z);
+ gins(AMOVL, l, &nod);
+ l = &nod;
+ }
+ gins(AMOVL, nodconst(m), ax);
+ gins(AMULL, l, Z);
+ gins(AADDL, l, dx);
+ gins(ARCRL, nodconst(1), dx);
+ if(l == &nod)
+ regfree(l);
+ }
+ else {
+ gins(AMOVL, nodconst(m), ax);
+ gins(AMULL, l, Z);
+ }
+ if(s != 0)
+ gins(ASHRL, nodconst(s), dx);
+}
+
+void
+sext(Node *d, Node *s, Node *l)
+{
+ if(s->reg == D_AX && !nodreg(d, Z, D_DX)) {
+ reg[D_DX]++;
+ gins(ACDQ, Z, Z);
+ }
+ else {
+ regalloc(d, l, Z);
+ gins(AMOVL, s, d);
+ gins(ASARL, nodconst(31), d);
+ }
+}
+
+void
+sdiv2(long c, int v, Node *l, Node *n)
+{
+ Node nod;
+
+ if(v > 0) {
+ if(v > 1) {
+ sext(&nod, n, l);
+ gins(AANDL, nodconst((1 << v) - 1), &nod);
+ gins(AADDL, &nod, n);
+ regfree(&nod);
+ }
+ else {
+ gins(ACMPL, n, nodconst(0x80000000));
+ gins(ASBBL, nodconst(-1), n);
+ }
+ gins(ASARL, nodconst(v), n);
+ }
+ if(c < 0)
+ gins(ANEGL, Z, n);
+}
+
+void
+smod2(long c, int v, Node *l, Node *n)
+{
+ Node nod;
+
+ if(c == 1) {
+ zeroregm(n);
+ return;
+ }
+
+ sext(&nod, n, l);
+ if(v == 0) {
+ zeroregm(n);
+ gins(AXORL, &nod, n);
+ gins(ASUBL, &nod, n);
+ }
+ else if(v > 1) {
+ gins(AANDL, nodconst((1 << v) - 1), &nod);
+ gins(AADDL, &nod, n);
+ gins(AANDL, nodconst((1 << v) - 1), n);
+ gins(ASUBL, &nod, n);
+ }
+ else {
+ gins(AANDL, nodconst(1), n);
+ gins(AXORL, &nod, n);
+ gins(ASUBL, &nod, n);
+ }
+ regfree(&nod);
+}