--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/share/vm/opto/divnode.cpp	Sat Dec 01 00:00:00 2007 +0000
@@ -0,0 +1,1031 @@
+/*
+ * Copyright 1997-2006 Sun Microsystems, Inc.  All Rights Reserved.
+ * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
+ *
+ * This code is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 only, as
+ * published by the Free Software Foundation.
+ *
+ * This code 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 General Public License
+ * version 2 for more details (a copy is included in the LICENSE file that
+ * accompanied this code).
+ *
+ * You should have received a copy of the GNU General Public License version
+ * 2 along with this work; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
+ *
+ * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
+ * CA 95054 USA or visit www.sun.com if you need additional information or
+ * have any questions.
+ *
+ */
+
+// Portions of code courtesy of Clifford Click
+
+// Optimization - Graph Style
+
+#include "incls/_precompiled.incl"
+#include "incls/_divnode.cpp.incl"
+#include <math.h>
+
+// Implement the integer constant divide -> long multiply transform found in
+//   "Division by Invariant Integers using Multiplication"
+//     by Granlund and Montgomery
+static Node *transform_int_divide_to_long_multiply( PhaseGVN *phase, Node *dividend, int divisor ) {
+
+  // Check for invalid divisors
+  assert( divisor != 0 && divisor != min_jint && divisor != 1,
+    "bad divisor for transforming to long multiply" );
+
+  // Compute l = ceiling(log2(d))
+  //   presumes d is more likely small
+  bool d_pos = divisor >= 0;
+  int d = d_pos ? divisor : -divisor;
+  unsigned ud = (unsigned)d;
+  const int N = 32;
+  int l = log2_intptr(d-1)+1;
+  int sh_post = l;
+
+  const uint64_t U1 = (uint64_t)1;
+
+  // Cliff pointed out how to prevent overflow (from the paper)
+  uint64_t m_low  =  (((U1 << l) - ud) << N)                  / ud + (U1 << N);
+  uint64_t m_high = ((((U1 << l) - ud) << N) + (U1 << (l+1))) / ud + (U1 << N);
+
+  // Reduce to lowest terms
+  for ( ; sh_post > 0; sh_post-- ) {
+    uint64_t m_low_1  = m_low  >> 1;
+    uint64_t m_high_1 = m_high >> 1;
+    if ( m_low_1 >= m_high_1 )
+      break;
+    m_low  = m_low_1;
+    m_high = m_high_1;
+  }
+
+  // Result
+  Node *q;
+
+  // division by +/- 1
+  if (d == 1) {
+    // Filtered out as identity above
+    if (d_pos)
+      return NULL;
+
+    // Just negate the value
+    else {
+      q = new (phase->C, 3) SubINode(phase->intcon(0), dividend);
+    }
+  }
+
+  // division by +/- a power of 2
+  else if ( is_power_of_2(d) ) {
+
+    // See if we can simply do a shift without rounding
+    bool needs_rounding = true;
+    const Type *dt = phase->type(dividend);
+    const TypeInt *dti = dt->isa_int();
+
+    // we don't need to round a positive dividend
+    if (dti && dti->_lo >= 0)
+      needs_rounding = false;
+
+    // An AND mask of sufficient size clears the low bits and
+    // I can avoid rounding.
+    else if( dividend->Opcode() == Op_AndI ) {
+      const TypeInt *andconi = phase->type( dividend->in(2) )->isa_int();
+      if( andconi && andconi->is_con(-d) ) {
+        dividend = dividend->in(1);
+        needs_rounding = false;
+      }
+    }
+
+    // Add rounding to the shift to handle the sign bit
+    if( needs_rounding ) {
+      Node *t1 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(l - 1)));
+      Node *t2 = phase->transform(new (phase->C, 3) URShiftINode(t1, phase->intcon(N - l)));
+      dividend = phase->transform(new (phase->C, 3) AddINode(dividend, t2));
+    }
+
+    q = new (phase->C, 3) RShiftINode(dividend, phase->intcon(l));
+
+    if (!d_pos)
+      q = new (phase->C, 3) SubINode(phase->intcon(0), phase->transform(q));
+  }
+
+  // division by something else
+  else if (m_high < (U1 << (N-1))) {
+    Node *t1 = phase->transform(new (phase->C, 2) ConvI2LNode(dividend));
+    Node *t2 = phase->transform(new (phase->C, 3) MulLNode(t1, phase->longcon(m_high)));
+    Node *t3 = phase->transform(new (phase->C, 3) RShiftLNode(t2, phase->intcon(sh_post+N)));
+    Node *t4 = phase->transform(new (phase->C, 2) ConvL2INode(t3));
+    Node *t5 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N-1)));
+
+    q = new (phase->C, 3) SubINode(d_pos ? t4 : t5, d_pos ? t5 : t4);
+  }
+
+  // This handles that case where m_high is >= 2**(N-1). In that case,
+  // we subtract out 2**N from the multiply and add it in later as
+  // "dividend" in the equation (t5). This case computes the same result
+  // as the immediately preceeding case, save that rounding and overflow
+  // are accounted for.
+  else {
+    Node *t1 = phase->transform(new (phase->C, 2) ConvI2LNode(dividend));
+    Node *t2 = phase->transform(new (phase->C, 3) MulLNode(t1, phase->longcon(m_high - (U1 << N))));
+    Node *t3 = phase->transform(new (phase->C, 3) RShiftLNode(t2, phase->intcon(N)));
+    Node *t4 = phase->transform(new (phase->C, 2) ConvL2INode(t3));
+    Node *t5 = phase->transform(new (phase->C, 3) AddINode(dividend, t4));
+    Node *t6 = phase->transform(new (phase->C, 3) RShiftINode(t5, phase->intcon(sh_post)));
+    Node *t7 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N-1)));
+
+    q = new (phase->C, 3) SubINode(d_pos ? t6 : t7, d_pos ? t7 : t6);
+  }
+
+  return (q);
+}
+
+//=============================================================================
+//------------------------------Identity---------------------------------------
+// If the divisor is 1, we are an identity on the dividend.
+Node *DivINode::Identity( PhaseTransform *phase ) {
+  return (phase->type( in(2) )->higher_equal(TypeInt::ONE)) ? in(1) : this;
+}
+
+//------------------------------Idealize---------------------------------------
+// Divides can be changed to multiplies and/or shifts
+Node *DivINode::Ideal(PhaseGVN *phase, bool can_reshape) {
+  if (in(0) && remove_dead_region(phase, can_reshape))  return this;
+
+  const Type *t = phase->type( in(2) );
+  if( t == TypeInt::ONE )       // Identity?
+    return NULL;                // Skip it
+
+  const TypeInt *ti = t->isa_int();
+  if( !ti ) return NULL;
+  if( !ti->is_con() ) return NULL;
+  int i = ti->get_con();        // Get divisor
+
+  if (i == 0) return NULL;      // Dividing by zero constant does not idealize
+
+  set_req(0,NULL);              // Dividing by a not-zero constant; no faulting
+
+  // Dividing by MININT does not optimize as a power-of-2 shift.
+  if( i == min_jint ) return NULL;
+
+  return transform_int_divide_to_long_multiply( phase, in(1), i );
+}
+
+//------------------------------Value------------------------------------------
+// A DivINode divides its inputs.  The third input is a Control input, used to
+// prevent hoisting the divide above an unsafe test.
+const Type *DivINode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // x/x == 1 since we always generate the dynamic divisor check for 0.
+  if( phase->eqv( in(1), in(2) ) )
+    return TypeInt::ONE;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // Divide the two numbers.  We approximate.
+  // If divisor is a constant and not zero
+  const TypeInt *i1 = t1->is_int();
+  const TypeInt *i2 = t2->is_int();
+  int widen = MAX2(i1->_widen, i2->_widen);
+
+  if( i2->is_con() && i2->get_con() != 0 ) {
+    int32 d = i2->get_con(); // Divisor
+    jint lo, hi;
+    if( d >= 0 ) {
+      lo = i1->_lo/d;
+      hi = i1->_hi/d;
+    } else {
+      if( d == -1 && i1->_lo == min_jint ) {
+        // 'min_jint/-1' throws arithmetic exception during compilation
+        lo = min_jint;
+        // do not support holes, 'hi' must go to either min_jint or max_jint:
+        // [min_jint, -10]/[-1,-1] ==> [min_jint] UNION [10,max_jint]
+        hi = i1->_hi == min_jint ? min_jint : max_jint;
+      } else {
+        lo = i1->_hi/d;
+        hi = i1->_lo/d;
+      }
+    }
+    return TypeInt::make(lo, hi, widen);
+  }
+
+  // If the dividend is a constant
+  if( i1->is_con() ) {
+    int32 d = i1->get_con();
+    if( d < 0 ) {
+      if( d == min_jint ) {
+        //  (-min_jint) == min_jint == (min_jint / -1)
+        return TypeInt::make(min_jint, max_jint/2 + 1, widen);
+      } else {
+        return TypeInt::make(d, -d, widen);
+      }
+    }
+    return TypeInt::make(-d, d, widen);
+  }
+
+  // Otherwise we give up all hope
+  return TypeInt::INT;
+}
+
+
+//=============================================================================
+//------------------------------Identity---------------------------------------
+// If the divisor is 1, we are an identity on the dividend.
+Node *DivLNode::Identity( PhaseTransform *phase ) {
+  return (phase->type( in(2) )->higher_equal(TypeLong::ONE)) ? in(1) : this;
+}
+
+//------------------------------Idealize---------------------------------------
+// Dividing by a power of 2 is a shift.
+Node *DivLNode::Ideal( PhaseGVN *phase, bool can_reshape) {
+  if (in(0) && remove_dead_region(phase, can_reshape))  return this;
+
+  const Type *t = phase->type( in(2) );
+  if( t == TypeLong::ONE )       // Identity?
+    return NULL;                // Skip it
+
+  const TypeLong *ti = t->isa_long();
+  if( !ti ) return NULL;
+  if( !ti->is_con() ) return NULL;
+  jlong i = ti->get_con();      // Get divisor
+  if( i ) set_req(0, NULL);     // Dividing by a not-zero constant; no faulting
+
+  // Dividing by MININT does not optimize as a power-of-2 shift.
+  if( i == min_jlong ) return NULL;
+
+  // Check for negative power of 2 divisor, if so, negate it and set a flag
+  // to indicate result needs to be negated.  Note that negating the dividend
+  // here does not work when it has the value MININT
+  Node *dividend = in(1);
+  bool negate_res = false;
+  if (is_power_of_2_long(-i)) {
+    i = -i;                     // Flip divisor
+    negate_res = true;
+  }
+
+  // Check for power of 2
+  if (!is_power_of_2_long(i))   // Is divisor a power of 2?
+    return NULL;                // Not a power of 2
+
+  // Compute number of bits to shift
+  int log_i = log2_long(i);
+
+  // See if we can simply do a shift without rounding
+  bool needs_rounding = true;
+  const Type *dt = phase->type(dividend);
+  const TypeLong *dtl = dt->isa_long();
+
+  if (dtl && dtl->_lo > 0) {
+    // we don't need to round a positive dividend
+    needs_rounding = false;
+  } else if( dividend->Opcode() == Op_AndL ) {
+    // An AND mask of sufficient size clears the low bits and
+    // I can avoid rounding.
+    const TypeLong *andconi = phase->type( dividend->in(2) )->isa_long();
+    if( andconi &&
+        andconi->is_con() &&
+        andconi->get_con() == -i ) {
+      dividend = dividend->in(1);
+      needs_rounding = false;
+    }
+  }
+
+  if (!needs_rounding) {
+    Node *result = new (phase->C, 3) RShiftLNode(dividend, phase->intcon(log_i));
+    if (negate_res) {
+      result = phase->transform(result);
+      result = new (phase->C, 3) SubLNode(phase->longcon(0), result);
+    }
+    return result;
+  }
+
+  // Divide-by-power-of-2 can be made into a shift, but you have to do
+  // more math for the rounding.  You need to add 0 for positive
+  // numbers, and "i-1" for negative numbers.  Example: i=4, so the
+  // shift is by 2.  You need to add 3 to negative dividends and 0 to
+  // positive ones.  So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1,
+  // (-2+3)>>2 becomes 0, etc.
+
+  // Compute 0 or -1, based on sign bit
+  Node *sign = phase->transform(new (phase->C, 3) RShiftLNode(dividend,phase->intcon(63)));
+  // Mask sign bit to the low sign bits
+  Node *round = phase->transform(new (phase->C, 3) AndLNode(sign,phase->longcon(i-1)));
+  // Round up before shifting
+  Node *sum = phase->transform(new (phase->C, 3) AddLNode(dividend,round));
+  // Shift for division
+  Node *result = new (phase->C, 3) RShiftLNode(sum, phase->intcon(log_i));
+  if (negate_res) {
+    result = phase->transform(result);
+    result = new (phase->C, 3) SubLNode(phase->longcon(0), result);
+  }
+
+  return result;
+}
+
+//------------------------------Value------------------------------------------
+// A DivLNode divides its inputs.  The third input is a Control input, used to
+// prevent hoisting the divide above an unsafe test.
+const Type *DivLNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // x/x == 1 since we always generate the dynamic divisor check for 0.
+  if( phase->eqv( in(1), in(2) ) )
+    return TypeLong::ONE;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // Divide the two numbers.  We approximate.
+  // If divisor is a constant and not zero
+  const TypeLong *i1 = t1->is_long();
+  const TypeLong *i2 = t2->is_long();
+  int widen = MAX2(i1->_widen, i2->_widen);
+
+  if( i2->is_con() && i2->get_con() != 0 ) {
+    jlong d = i2->get_con();    // Divisor
+    jlong lo, hi;
+    if( d >= 0 ) {
+      lo = i1->_lo/d;
+      hi = i1->_hi/d;
+    } else {
+      if( d == CONST64(-1) && i1->_lo == min_jlong ) {
+        // 'min_jlong/-1' throws arithmetic exception during compilation
+        lo = min_jlong;
+        // do not support holes, 'hi' must go to either min_jlong or max_jlong:
+        // [min_jlong, -10]/[-1,-1] ==> [min_jlong] UNION [10,max_jlong]
+        hi = i1->_hi == min_jlong ? min_jlong : max_jlong;
+      } else {
+        lo = i1->_hi/d;
+        hi = i1->_lo/d;
+      }
+    }
+    return TypeLong::make(lo, hi, widen);
+  }
+
+  // If the dividend is a constant
+  if( i1->is_con() ) {
+    jlong d = i1->get_con();
+    if( d < 0 ) {
+      if( d == min_jlong ) {
+        //  (-min_jlong) == min_jlong == (min_jlong / -1)
+        return TypeLong::make(min_jlong, max_jlong/2 + 1, widen);
+      } else {
+        return TypeLong::make(d, -d, widen);
+      }
+    }
+    return TypeLong::make(-d, d, widen);
+  }
+
+  // Otherwise we give up all hope
+  return TypeLong::LONG;
+}
+
+
+//=============================================================================
+//------------------------------Value------------------------------------------
+// An DivFNode divides its inputs.  The third input is a Control input, used to
+// prevent hoisting the divide above an unsafe test.
+const Type *DivFNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // x/x == 1, we ignore 0/0.
+  // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
+  // does not work for variables because of NaN's
+  if( phase->eqv( in(1), in(2) ) && t1->base() == Type::FloatCon)
+    if (!g_isnan(t1->getf()) && g_isfinite(t1->getf()) && t1->getf() != 0.0) // could be negative ZERO or NaN
+      return TypeF::ONE;
+
+  if( t2 == TypeF::ONE )
+    return t1;
+
+  // If divisor is a constant and not zero, divide them numbers
+  if( t1->base() == Type::FloatCon &&
+      t2->base() == Type::FloatCon &&
+      t2->getf() != 0.0 ) // could be negative zero
+    return TypeF::make( t1->getf()/t2->getf() );
+
+  // If the dividend is a constant zero
+  // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
+  // Test TypeF::ZERO is not sufficient as it could be negative zero
+
+  if( t1 == TypeF::ZERO && !g_isnan(t2->getf()) && t2->getf() != 0.0 )
+    return TypeF::ZERO;
+
+  // Otherwise we give up all hope
+  return Type::FLOAT;
+}
+
+//------------------------------isA_Copy---------------------------------------
+// Dividing by self is 1.
+// If the divisor is 1, we are an identity on the dividend.
+Node *DivFNode::Identity( PhaseTransform *phase ) {
+  return (phase->type( in(2) ) == TypeF::ONE) ? in(1) : this;
+}
+
+
+//------------------------------Idealize---------------------------------------
+Node *DivFNode::Ideal(PhaseGVN *phase, bool can_reshape) {
+  if (in(0) && remove_dead_region(phase, can_reshape))  return this;
+
+  const Type *t2 = phase->type( in(2) );
+  if( t2 == TypeF::ONE )         // Identity?
+    return NULL;                // Skip it
+
+  const TypeF *tf = t2->isa_float_constant();
+  if( !tf ) return NULL;
+  if( tf->base() != Type::FloatCon ) return NULL;
+
+  // Check for out of range values
+  if( tf->is_nan() || !tf->is_finite() ) return NULL;
+
+  // Get the value
+  float f = tf->getf();
+  int exp;
+
+  // Only for special case of dividing by a power of 2
+  if( frexp((double)f, &exp) != 0.5 ) return NULL;
+
+  // Limit the range of acceptable exponents
+  if( exp < -126 || exp > 126 ) return NULL;
+
+  // Compute the reciprocal
+  float reciprocal = ((float)1.0) / f;
+
+  assert( frexp((double)reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
+
+  // return multiplication by the reciprocal
+  return (new (phase->C, 3) MulFNode(in(1), phase->makecon(TypeF::make(reciprocal))));
+}
+
+//=============================================================================
+//------------------------------Value------------------------------------------
+// An DivDNode divides its inputs.  The third input is a Control input, used to
+// prvent hoisting the divide above an unsafe test.
+const Type *DivDNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // x/x == 1, we ignore 0/0.
+  // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
+  // Does not work for variables because of NaN's
+  if( phase->eqv( in(1), in(2) ) && t1->base() == Type::DoubleCon)
+    if (!g_isnan(t1->getd()) && g_isfinite(t1->getd()) && t1->getd() != 0.0) // could be negative ZERO or NaN
+      return TypeD::ONE;
+
+  if( t2 == TypeD::ONE )
+    return t1;
+
+  // If divisor is a constant and not zero, divide them numbers
+  if( t1->base() == Type::DoubleCon &&
+      t2->base() == Type::DoubleCon &&
+      t2->getd() != 0.0 ) // could be negative zero
+    return TypeD::make( t1->getd()/t2->getd() );
+
+  // If the dividend is a constant zero
+  // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
+  // Test TypeF::ZERO is not sufficient as it could be negative zero
+  if( t1 == TypeD::ZERO && !g_isnan(t2->getd()) && t2->getd() != 0.0 )
+    return TypeD::ZERO;
+
+  // Otherwise we give up all hope
+  return Type::DOUBLE;
+}
+
+
+//------------------------------isA_Copy---------------------------------------
+// Dividing by self is 1.
+// If the divisor is 1, we are an identity on the dividend.
+Node *DivDNode::Identity( PhaseTransform *phase ) {
+  return (phase->type( in(2) ) == TypeD::ONE) ? in(1) : this;
+}
+
+//------------------------------Idealize---------------------------------------
+Node *DivDNode::Ideal(PhaseGVN *phase, bool can_reshape) {
+  if (in(0) && remove_dead_region(phase, can_reshape))  return this;
+
+  const Type *t2 = phase->type( in(2) );
+  if( t2 == TypeD::ONE )         // Identity?
+    return NULL;                // Skip it
+
+  const TypeD *td = t2->isa_double_constant();
+  if( !td ) return NULL;
+  if( td->base() != Type::DoubleCon ) return NULL;
+
+  // Check for out of range values
+  if( td->is_nan() || !td->is_finite() ) return NULL;
+
+  // Get the value
+  double d = td->getd();
+  int exp;
+
+  // Only for special case of dividing by a power of 2
+  if( frexp(d, &exp) != 0.5 ) return NULL;
+
+  // Limit the range of acceptable exponents
+  if( exp < -1021 || exp > 1022 ) return NULL;
+
+  // Compute the reciprocal
+  double reciprocal = 1.0 / d;
+
+  assert( frexp(reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
+
+  // return multiplication by the reciprocal
+  return (new (phase->C, 3) MulDNode(in(1), phase->makecon(TypeD::make(reciprocal))));
+}
+
+//=============================================================================
+//------------------------------Idealize---------------------------------------
+Node *ModINode::Ideal(PhaseGVN *phase, bool can_reshape) {
+  // Check for dead control input
+  if( remove_dead_region(phase, can_reshape) )  return this;
+
+  // Get the modulus
+  const Type *t = phase->type( in(2) );
+  if( t == Type::TOP ) return NULL;
+  const TypeInt *ti = t->is_int();
+
+  // Check for useless control input
+  // Check for excluding mod-zero case
+  if( in(0) && (ti->_hi < 0 || ti->_lo > 0) ) {
+    set_req(0, NULL);        // Yank control input
+    return this;
+  }
+
+  // See if we are MOD'ing by 2^k or 2^k-1.
+  if( !ti->is_con() ) return NULL;
+  jint con = ti->get_con();
+
+  Node *hook = new (phase->C, 1) Node(1);
+
+  // First, special check for modulo 2^k-1
+  if( con >= 0 && con < max_jint && is_power_of_2(con+1) ) {
+    uint k = exact_log2(con+1);  // Extract k
+
+    // Basic algorithm by David Detlefs.  See fastmod_int.java for gory details.
+    static int unroll_factor[] = { 999, 999, 29, 14, 9, 7, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/};
+    int trip_count = 1;
+    if( k < ARRAY_SIZE(unroll_factor))  trip_count = unroll_factor[k];
+
+    // If the unroll factor is not too large, and if conditional moves are
+    // ok, then use this case
+    if( trip_count <= 5 && ConditionalMoveLimit != 0 ) {
+      Node *x = in(1);            // Value being mod'd
+      Node *divisor = in(2);      // Also is mask
+
+      hook->init_req(0, x);       // Add a use to x to prevent him from dying
+      // Generate code to reduce X rapidly to nearly 2^k-1.
+      for( int i = 0; i < trip_count; i++ ) {
+          Node *xl = phase->transform( new (phase->C, 3) AndINode(x,divisor) );
+          Node *xh = phase->transform( new (phase->C, 3) RShiftINode(x,phase->intcon(k)) ); // Must be signed
+          x = phase->transform( new (phase->C, 3) AddINode(xh,xl) );
+          hook->set_req(0, x);
+      }
+
+      // Generate sign-fixup code.  Was original value positive?
+      // int hack_res = (i >= 0) ? divisor : 1;
+      Node *cmp1 = phase->transform( new (phase->C, 3) CmpINode( in(1), phase->intcon(0) ) );
+      Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) );
+      Node *cmov1= phase->transform( new (phase->C, 4) CMoveINode(bol1, phase->intcon(1), divisor, TypeInt::POS) );
+      // if( x >= hack_res ) x -= divisor;
+      Node *sub  = phase->transform( new (phase->C, 3) SubINode( x, divisor ) );
+      Node *cmp2 = phase->transform( new (phase->C, 3) CmpINode( x, cmov1 ) );
+      Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) );
+      // Convention is to not transform the return value of an Ideal
+      // since Ideal is expected to return a modified 'this' or a new node.
+      Node *cmov2= new (phase->C, 4) CMoveINode(bol2, x, sub, TypeInt::INT);
+      // cmov2 is now the mod
+
+      // Now remove the bogus extra edges used to keep things alive
+      if (can_reshape) {
+        phase->is_IterGVN()->remove_dead_node(hook);
+      } else {
+        hook->set_req(0, NULL);   // Just yank bogus edge during Parse phase
+      }
+      return cmov2;
+    }
+  }
+
+  // Fell thru, the unroll case is not appropriate. Transform the modulo
+  // into a long multiply/int multiply/subtract case
+
+  // Cannot handle mod 0, and min_jint isn't handled by the transform
+  if( con == 0 || con == min_jint ) return NULL;
+
+  // Get the absolute value of the constant; at this point, we can use this
+  jint pos_con = (con >= 0) ? con : -con;
+
+  // integer Mod 1 is always 0
+  if( pos_con == 1 ) return new (phase->C, 1) ConINode(TypeInt::ZERO);
+
+  int log2_con = -1;
+
+  // If this is a power of two, they maybe we can mask it
+  if( is_power_of_2(pos_con) ) {
+    log2_con = log2_intptr((intptr_t)pos_con);
+
+    const Type *dt = phase->type(in(1));
+    const TypeInt *dti = dt->isa_int();
+
+    // See if this can be masked, if the dividend is non-negative
+    if( dti && dti->_lo >= 0 )
+      return ( new (phase->C, 3) AndINode( in(1), phase->intcon( pos_con-1 ) ) );
+  }
+
+  // Save in(1) so that it cannot be changed or deleted
+  hook->init_req(0, in(1));
+
+  // Divide using the transform from DivI to MulL
+  Node *divide = phase->transform( transform_int_divide_to_long_multiply( phase, in(1), pos_con ) );
+
+  // Re-multiply, using a shift if this is a power of two
+  Node *mult = NULL;
+
+  if( log2_con >= 0 )
+    mult = phase->transform( new (phase->C, 3) LShiftINode( divide, phase->intcon( log2_con ) ) );
+  else
+    mult = phase->transform( new (phase->C, 3) MulINode( divide, phase->intcon( pos_con ) ) );
+
+  // Finally, subtract the multiplied divided value from the original
+  Node *result = new (phase->C, 3) SubINode( in(1), mult );
+
+  // Now remove the bogus extra edges used to keep things alive
+  if (can_reshape) {
+    phase->is_IterGVN()->remove_dead_node(hook);
+  } else {
+    hook->set_req(0, NULL);       // Just yank bogus edge during Parse phase
+  }
+
+  // return the value
+  return result;
+}
+
+//------------------------------Value------------------------------------------
+const Type *ModINode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // We always generate the dynamic check for 0.
+  // 0 MOD X is 0
+  if( t1 == TypeInt::ZERO ) return TypeInt::ZERO;
+  // X MOD X is 0
+  if( phase->eqv( in(1), in(2) ) ) return TypeInt::ZERO;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  const TypeInt *i1 = t1->is_int();
+  const TypeInt *i2 = t2->is_int();
+  if( !i1->is_con() || !i2->is_con() ) {
+    if( i1->_lo >= 0 && i2->_lo >= 0 )
+      return TypeInt::POS;
+    // If both numbers are not constants, we know little.
+    return TypeInt::INT;
+  }
+  // Mod by zero?  Throw exception at runtime!
+  if( !i2->get_con() ) return TypeInt::POS;
+
+  // We must be modulo'ing 2 float constants.
+  // Check for min_jint % '-1', result is defined to be '0'.
+  if( i1->get_con() == min_jint && i2->get_con() == -1 )
+    return TypeInt::ZERO;
+
+  return TypeInt::make( i1->get_con() % i2->get_con() );
+}
+
+
+//=============================================================================
+//------------------------------Idealize---------------------------------------
+Node *ModLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
+  // Check for dead control input
+  if( remove_dead_region(phase, can_reshape) )  return this;
+
+  // Get the modulus
+  const Type *t = phase->type( in(2) );
+  if( t == Type::TOP ) return NULL;
+  const TypeLong *ti = t->is_long();
+
+  // Check for useless control input
+  // Check for excluding mod-zero case
+  if( in(0) && (ti->_hi < 0 || ti->_lo > 0) ) {
+    set_req(0, NULL);        // Yank control input
+    return this;
+  }
+
+  // See if we are MOD'ing by 2^k or 2^k-1.
+  if( !ti->is_con() ) return NULL;
+  jlong con = ti->get_con();
+  bool m1 = false;
+  if( !is_power_of_2_long(con) ) {      // Not 2^k
+    if( !is_power_of_2_long(con+1) ) // Not 2^k-1?
+      return NULL;              // No interesting mod hacks
+    m1 = true;                  // Found 2^k-1
+    con++;                      // Convert to 2^k form
+  }
+  uint k = log2_long(con);       // Extract k
+
+  // Expand mod
+  if( !m1 ) {                   // Case 2^k
+  } else {                      // Case 2^k-1
+    // Basic algorithm by David Detlefs.  See fastmod_long.java for gory details.
+    // Used to help a popular random number generator which does a long-mod
+    // of 2^31-1 and shows up in SpecJBB and SciMark.
+    static int unroll_factor[] = { 999, 999, 61, 30, 20, 15, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/};
+    int trip_count = 1;
+    if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k];
+    if( trip_count > 4 ) return NULL; // Too much unrolling
+    if (ConditionalMoveLimit == 0) return NULL;  // cmov is required
+
+    Node *x = in(1);            // Value being mod'd
+    Node *divisor = in(2);      // Also is mask
+
+    Node *hook = new (phase->C, 1) Node(x);
+    // Generate code to reduce X rapidly to nearly 2^k-1.
+    for( int i = 0; i < trip_count; i++ ) {
+        Node *xl = phase->transform( new (phase->C, 3) AndLNode(x,divisor) );
+        Node *xh = phase->transform( new (phase->C, 3) RShiftLNode(x,phase->intcon(k)) ); // Must be signed
+        x = phase->transform( new (phase->C, 3) AddLNode(xh,xl) );
+        hook->set_req(0, x);    // Add a use to x to prevent him from dying
+    }
+    // Generate sign-fixup code.  Was original value positive?
+    // long hack_res = (i >= 0) ? divisor : CONST64(1);
+    Node *cmp1 = phase->transform( new (phase->C, 3) CmpLNode( in(1), phase->longcon(0) ) );
+    Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) );
+    Node *cmov1= phase->transform( new (phase->C, 4) CMoveLNode(bol1, phase->longcon(1), divisor, TypeLong::LONG) );
+    // if( x >= hack_res ) x -= divisor;
+    Node *sub  = phase->transform( new (phase->C, 3) SubLNode( x, divisor ) );
+    Node *cmp2 = phase->transform( new (phase->C, 3) CmpLNode( x, cmov1 ) );
+    Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) );
+    // Convention is to not transform the return value of an Ideal
+    // since Ideal is expected to return a modified 'this' or a new node.
+    Node *cmov2= new (phase->C, 4) CMoveLNode(bol2, x, sub, TypeLong::LONG);
+    // cmov2 is now the mod
+
+    // Now remove the bogus extra edges used to keep things alive
+    if (can_reshape) {
+      phase->is_IterGVN()->remove_dead_node(hook);
+    } else {
+      hook->set_req(0, NULL);   // Just yank bogus edge during Parse phase
+    }
+    return cmov2;
+  }
+  return NULL;
+}
+
+//------------------------------Value------------------------------------------
+const Type *ModLNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // We always generate the dynamic check for 0.
+  // 0 MOD X is 0
+  if( t1 == TypeLong::ZERO ) return TypeLong::ZERO;
+  // X MOD X is 0
+  if( phase->eqv( in(1), in(2) ) ) return TypeLong::ZERO;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  const TypeLong *i1 = t1->is_long();
+  const TypeLong *i2 = t2->is_long();
+  if( !i1->is_con() || !i2->is_con() ) {
+    if( i1->_lo >= CONST64(0) && i2->_lo >= CONST64(0) )
+      return TypeLong::POS;
+    // If both numbers are not constants, we know little.
+    return TypeLong::LONG;
+  }
+  // Mod by zero?  Throw exception at runtime!
+  if( !i2->get_con() ) return TypeLong::POS;
+
+  // We must be modulo'ing 2 float constants.
+  // Check for min_jint % '-1', result is defined to be '0'.
+  if( i1->get_con() == min_jlong && i2->get_con() == -1 )
+    return TypeLong::ZERO;
+
+  return TypeLong::make( i1->get_con() % i2->get_con() );
+}
+
+
+//=============================================================================
+//------------------------------Value------------------------------------------
+const Type *ModFNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // If either is a NaN, return an input NaN
+  if( g_isnan(t1->getf()) )    return t1;
+  if( g_isnan(t2->getf()) )    return t2;
+
+  // It is not worth trying to constant fold this stuff!
+  return Type::FLOAT;
+
+  /*
+  // If dividend is infinity or divisor is zero, or both, the result is NaN
+  if( !g_isfinite(t1->getf()) || ((t2->getf() == 0.0) || (jint_cast(t2->getf()) == 0x80000000)) )
+
+  // X MOD infinity = X
+  if( !g_isfinite(t2->getf()) && !g_isnan(t2->getf()) ) return t1;
+  // 0 MOD finite = dividend (positive or negative zero)
+  // Not valid for: NaN MOD any; any MOD nan; 0 MOD 0; or for 0 MOD NaN
+  // NaNs are handled previously.
+  if( !(t2->getf() == 0.0) && !((int)t2->getf() == 0x80000000)) {
+    if (((t1->getf() == 0.0) || ((int)t1->getf() == 0x80000000)) && g_isfinite(t2->getf()) ) {
+      return t1;
+    }
+  }
+  // X MOD X is 0
+  // Does not work for variables because of NaN's
+  if( phase->eqv( in(1), in(2) ) && t1->base() == Type::FloatCon)
+    if (!g_isnan(t1->getf()) && (t1->getf() != 0.0) && ((int)t1->getf() != 0x80000000)) {
+      if(t1->getf() < 0.0) {
+        float result = jfloat_cast(0x80000000);
+        return TypeF::make( result );
+      }
+      else
+        return TypeF::ZERO;
+    }
+
+  // If both numbers are not constants, we know nothing.
+  if( (t1->base() != Type::FloatCon) || (t2->base() != Type::FloatCon) )
+    return Type::FLOAT;
+
+  // We must be modulo'ing 2 float constants.
+  // Make sure that the sign of the fmod is equal to the sign of the dividend
+  float result = (float)fmod( t1->getf(), t2->getf() );
+  float dividend = t1->getf();
+  if( (dividend < 0.0) || ((int)dividend == 0x80000000) ) {
+    if( result > 0.0 )
+      result = 0.0 - result;
+    else if( result == 0.0 ) {
+      result = jfloat_cast(0x80000000);
+    }
+  }
+  return TypeF::make( result );
+  */
+}
+
+
+//=============================================================================
+//------------------------------Value------------------------------------------
+const Type *ModDNode::Value( PhaseTransform *phase ) const {
+  // Either input is TOP ==> the result is TOP
+  const Type *t1 = phase->type( in(1) );
+  const Type *t2 = phase->type( in(2) );
+  if( t1 == Type::TOP ) return Type::TOP;
+  if( t2 == Type::TOP ) return Type::TOP;
+
+  // Either input is BOTTOM ==> the result is the local BOTTOM
+  const Type *bot = bottom_type();
+  if( (t1 == bot) || (t2 == bot) ||
+      (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
+    return bot;
+
+  // If either is a NaN, return an input NaN
+  if( g_isnan(t1->getd()) )    return t1;
+  if( g_isnan(t2->getd()) )    return t2;
+  // X MOD infinity = X
+  if( !g_isfinite(t2->getd())) return t1;
+  // 0 MOD finite = dividend (positive or negative zero)
+  // Not valid for: NaN MOD any; any MOD nan; 0 MOD 0; or for 0 MOD NaN
+  // NaNs are handled previously.
+  if( !(t2->getd() == 0.0) ) {
+    if( t1->getd() == 0.0 && g_isfinite(t2->getd()) ) {
+      return t1;
+    }
+  }
+
+  // X MOD X is 0
+  // does not work for variables because of NaN's
+  if( phase->eqv( in(1), in(2) ) && t1->base() == Type::DoubleCon )
+    if (!g_isnan(t1->getd()) && t1->getd() != 0.0)
+      return TypeD::ZERO;
+
+
+  // If both numbers are not constants, we know nothing.
+  if( (t1->base() != Type::DoubleCon) || (t2->base() != Type::DoubleCon) )
+    return Type::DOUBLE;
+
+  // We must be modulo'ing 2 double constants.
+  return TypeD::make( fmod( t1->getd(), t2->getd() ) );
+}
+
+//=============================================================================
+
+DivModNode::DivModNode( Node *c, Node *dividend, Node *divisor ) : MultiNode(3) {
+  init_req(0, c);
+  init_req(1, dividend);
+  init_req(2, divisor);
+}
+
+//------------------------------make------------------------------------------
+DivModINode* DivModINode::make(Compile* C, Node* div_or_mod) {
+  Node* n = div_or_mod;
+  assert(n->Opcode() == Op_DivI || n->Opcode() == Op_ModI,
+         "only div or mod input pattern accepted");
+
+  DivModINode* divmod = new (C, 3) DivModINode(n->in(0), n->in(1), n->in(2));
+  Node*        dproj  = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num);
+  Node*        mproj  = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num);
+  return divmod;
+}
+
+//------------------------------make------------------------------------------
+DivModLNode* DivModLNode::make(Compile* C, Node* div_or_mod) {
+  Node* n = div_or_mod;
+  assert(n->Opcode() == Op_DivL || n->Opcode() == Op_ModL,
+         "only div or mod input pattern accepted");
+
+  DivModLNode* divmod = new (C, 3) DivModLNode(n->in(0), n->in(1), n->in(2));
+  Node*        dproj  = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num);
+  Node*        mproj  = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num);
+  return divmod;
+}
+
+//------------------------------match------------------------------------------
+// return result(s) along with their RegMask info
+Node *DivModINode::match( const ProjNode *proj, const Matcher *match ) {
+  uint ideal_reg = proj->ideal_reg();
+  RegMask rm;
+  if (proj->_con == div_proj_num) {
+    rm = match->divI_proj_mask();
+  } else {
+    assert(proj->_con == mod_proj_num, "must be div or mod projection");
+    rm = match->modI_proj_mask();
+  }
+  return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg);
+}
+
+
+//------------------------------match------------------------------------------
+// return result(s) along with their RegMask info
+Node *DivModLNode::match( const ProjNode *proj, const Matcher *match ) {
+  uint ideal_reg = proj->ideal_reg();
+  RegMask rm;
+  if (proj->_con == div_proj_num) {
+    rm = match->divL_proj_mask();
+  } else {
+    assert(proj->_con == mod_proj_num, "must be div or mod projection");
+    rm = match->modL_proj_mask();
+  }
+  return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg);
+}