Mercurial > jdk8-mips64-public > hotspot / file revision

 /*

  * 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);

 }