### view src/share/vm/opto/divnode.cpp @ 0:a61af66fc99e

author duke Sat, 01 Dec 2007 00:00:00 +0000 6e825ad773c6
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```/*
* 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
*
* 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.
*
* 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) {
} 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) {
} 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) {
} 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();
if (proj->_con == div_proj_num) {
} else {
assert(proj->_con == mod_proj_num, "must be div or mod projection");
}
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();