1 /*
   2  * Copyright (c) 1997, 2026, Oracle and/or its affiliates. All rights reserved.
   3  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
   4  *
   5  * This code is free software; you can redistribute it and/or modify it
   6  * under the terms of the GNU General Public License version 2 only, as
   7  * published by the Free Software Foundation.
   8  *
   9  * This code is distributed in the hope that it will be useful, but WITHOUT
  10  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  11  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  12  * version 2 for more details (a copy is included in the LICENSE file that
  13  * accompanied this code).
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  17  * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
  18  *
  19  * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
  20  * or visit www.oracle.com if you need additional information or have any
  21  * questions.
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  24 
  25 #include "memory/allocation.inline.hpp"
  26 #include "opto/addnode.hpp"
  27 #include "opto/connode.hpp"
  28 #include "opto/convertnode.hpp"
  29 #include "opto/memnode.hpp"
  30 #include "opto/mulnode.hpp"
  31 #include "opto/phaseX.hpp"
  32 #include "opto/rangeinference.hpp"
  33 #include "opto/subnode.hpp"
  34 #include "utilities/powerOfTwo.hpp"
  35 
  36 // Portions of code courtesy of Clifford Click
  37 
  38 
  39 //=============================================================================
  40 //------------------------------hash-------------------------------------------
  41 // Hash function over MulNodes.  Needs to be commutative; i.e., I swap
  42 // (commute) inputs to MulNodes willy-nilly so the hash function must return
  43 // the same value in the presence of edge swapping.
  44 uint MulNode::hash() const {
  45   return (uintptr_t)in(1) + (uintptr_t)in(2) + Opcode();
  46 }
  47 
  48 //------------------------------Identity---------------------------------------
  49 // Multiplying a one preserves the other argument
  50 Node* MulNode::Identity(PhaseGVN* phase) {
  51   const Type *one = mul_id();  // The multiplicative identity
  52   if( phase->type( in(1) )->higher_equal( one ) ) return in(2);
  53   if( phase->type( in(2) )->higher_equal( one ) ) return in(1);
  54 
  55   return this;
  56 }
  57 
  58 //------------------------------Ideal------------------------------------------
  59 // We also canonicalize the Node, moving constants to the right input,
  60 // and flatten expressions (so that 1+x+2 becomes x+3).
  61 Node *MulNode::Ideal(PhaseGVN *phase, bool can_reshape) {
  62   Node* in1 = in(1);
  63   Node* in2 = in(2);
  64   Node* progress = nullptr;        // Progress flag
  65 
  66   // This code is used by And nodes too, but some conversions are
  67   // only valid for the actual Mul nodes.
  68   uint op = Opcode();
  69   bool real_mul = (op == Op_MulI) || (op == Op_MulL) ||
  70                   (op == Op_MulF) || (op == Op_MulD) ||
  71                   (op == Op_MulHF);
  72 
  73   // Convert "(-a)*(-b)" into "a*b".
  74   if (real_mul && in1->is_Sub() && in2->is_Sub()) {
  75     if (phase->type(in1->in(1))->is_zero_type() &&
  76         phase->type(in2->in(1))->is_zero_type()) {
  77       set_req_X(1, in1->in(2), phase);
  78       set_req_X(2, in2->in(2), phase);
  79       in1 = in(1);
  80       in2 = in(2);
  81       progress = this;
  82     }
  83   }
  84 
  85   // convert "max(a,b) * min(a,b)" into "a*b".
  86   if ((in(1)->Opcode() == max_opcode() && in(2)->Opcode() == min_opcode())
  87       || (in(1)->Opcode() == min_opcode() && in(2)->Opcode() == max_opcode())) {
  88     Node *in11 = in(1)->in(1);
  89     Node *in12 = in(1)->in(2);
  90 
  91     Node *in21 = in(2)->in(1);
  92     Node *in22 = in(2)->in(2);
  93 
  94     if ((in11 == in21 && in12 == in22) ||
  95         (in11 == in22 && in12 == in21)) {
  96       set_req_X(1, in11, phase);
  97       set_req_X(2, in12, phase);
  98       in1 = in(1);
  99       in2 = in(2);
 100       progress = this;
 101     }
 102   }
 103 
 104   const Type* t1 = phase->type(in1);
 105   const Type* t2 = phase->type(in2);
 106 
 107   // We are OK if right is a constant, or right is a load and
 108   // left is a non-constant.
 109   if( !(t2->singleton() ||
 110         (in(2)->is_Load() && !(t1->singleton() || in(1)->is_Load())) ) ) {
 111     if( t1->singleton() ||       // Left input is a constant?
 112         // Otherwise, sort inputs (commutativity) to help value numbering.
 113         (in(1)->_idx > in(2)->_idx) ) {
 114       swap_edges(1, 2);
 115       const Type *t = t1;
 116       t1 = t2;
 117       t2 = t;
 118       progress = this;            // Made progress
 119     }
 120   }
 121 
 122   // If the right input is a constant, and the left input is a product of a
 123   // constant, flatten the expression tree.
 124   if( t2->singleton() &&        // Right input is a constant?
 125       op != Op_MulF &&          // Float & double cannot reassociate
 126       op != Op_MulD &&
 127       op != Op_MulHF) {
 128     if( t2 == Type::TOP ) return nullptr;
 129     Node *mul1 = in(1);
 130 #ifdef ASSERT
 131     // Check for dead loop
 132     int op1 = mul1->Opcode();
 133     if ((mul1 == this) || (in(2) == this) ||
 134         ((op1 == mul_opcode() || op1 == add_opcode()) &&
 135          ((mul1->in(1) == this) || (mul1->in(2) == this) ||
 136           (mul1->in(1) == mul1) || (mul1->in(2) == mul1)))) {
 137       assert(false, "dead loop in MulNode::Ideal");
 138     }
 139 #endif
 140 
 141     if( mul1->Opcode() == mul_opcode() ) {  // Left input is a multiply?
 142       // Mul of a constant?
 143       const Type *t12 = phase->type( mul1->in(2) );
 144       if( t12->singleton() && t12 != Type::TOP) { // Left input is an add of a constant?
 145         // Compute new constant; check for overflow
 146         const Type *tcon01 = ((MulNode*)mul1)->mul_ring(t2,t12);
 147         if( tcon01->singleton() ) {
 148           // The Mul of the flattened expression
 149           set_req_X(1, mul1->in(1), phase);
 150           set_req_X(2, phase->makecon(tcon01), phase);
 151           t2 = tcon01;
 152           progress = this;      // Made progress
 153         }
 154       }
 155     }
 156     // If the right input is a constant, and the left input is an add of a
 157     // constant, flatten the tree: (X+con1)*con0 ==> X*con0 + con1*con0
 158     const Node *add1 = in(1);
 159     if( add1->Opcode() == add_opcode() ) {      // Left input is an add?
 160       // Add of a constant?
 161       const Type *t12 = phase->type( add1->in(2) );
 162       if( t12->singleton() && t12 != Type::TOP ) { // Left input is an add of a constant?
 163         assert( add1->in(1) != add1, "dead loop in MulNode::Ideal" );
 164         // Compute new constant; check for overflow
 165         const Type *tcon01 = mul_ring(t2,t12);
 166         if( tcon01->singleton() ) {
 167 
 168         // Convert (X+con1)*con0 into X*con0
 169           Node *mul = clone();    // mul = ()*con0
 170           mul->set_req(1,add1->in(1));  // mul = X*con0
 171           mul = phase->transform(mul);
 172 
 173           Node *add2 = add1->clone();
 174           add2->set_req(1, mul);        // X*con0 + con0*con1
 175           add2->set_req(2, phase->makecon(tcon01) );
 176           progress = add2;
 177         }
 178       }
 179     } // End of is left input an add
 180   } // End of is right input a Mul
 181 
 182   return progress;
 183 }
 184 
 185 //------------------------------Value-----------------------------------------
 186 const Type* MulNode::Value(PhaseGVN* phase) const {
 187   const Type *t1 = phase->type( in(1) );
 188   const Type *t2 = phase->type( in(2) );
 189   // Either input is TOP ==> the result is TOP
 190   if( t1 == Type::TOP ) return Type::TOP;
 191   if( t2 == Type::TOP ) return Type::TOP;
 192 
 193   // Either input is ZERO ==> the result is ZERO.
 194   // Not valid for floats or doubles since +0.0 * -0.0 --> +0.0
 195   int op = Opcode();
 196   if( op == Op_MulI || op == Op_AndI || op == Op_MulL || op == Op_AndL ) {
 197     const Type *zero = add_id();        // The multiplicative zero
 198     if( t1->higher_equal( zero ) ) return zero;
 199     if( t2->higher_equal( zero ) ) return zero;
 200   }
 201 
 202   // Either input is BOTTOM ==> the result is the local BOTTOM
 203   if( t1 == Type::BOTTOM || t2 == Type::BOTTOM )
 204     return bottom_type();
 205 
 206   return mul_ring(t1,t2);            // Local flavor of type multiplication
 207 }
 208 
 209 MulNode* MulNode::make(Node* in1, Node* in2, BasicType bt) {
 210   switch (bt) {
 211     case T_INT:
 212       return new MulINode(in1, in2);
 213     case T_LONG:
 214       return new MulLNode(in1, in2);
 215     default:
 216       fatal("Not implemented for %s", type2name(bt));
 217   }
 218   return nullptr;
 219 }
 220 
 221 MulNode* MulNode::make_and(Node* in1, Node* in2, BasicType bt) {
 222   switch (bt) {
 223     case T_INT:
 224       return new AndINode(in1, in2);
 225     case T_LONG:
 226       return new AndLNode(in1, in2);
 227     default:
 228       fatal("Not implemented for %s", type2name(bt));
 229   }
 230   return nullptr;
 231 }
 232 
 233 
 234 //=============================================================================
 235 //------------------------------Ideal------------------------------------------
 236 // Check for power-of-2 multiply, then try the regular MulNode::Ideal
 237 Node *MulINode::Ideal(PhaseGVN *phase, bool can_reshape) {
 238   const jint con = in(2)->find_int_con(0);
 239   if (con == 0) {
 240     // If in(2) is not a constant, call Ideal() of the parent class to
 241     // try to move constant to the right side.
 242     return MulNode::Ideal(phase, can_reshape);
 243   }
 244 
 245   // Now we have a constant Node on the right and the constant in con.
 246   if (con == 1) {
 247     // By one is handled by Identity call
 248     return nullptr;
 249   }
 250 
 251   // Check for negative constant; if so negate the final result
 252   bool sign_flip = false;
 253 
 254   unsigned int abs_con = g_uabs(con);
 255   if (abs_con != (unsigned int)con) {
 256     sign_flip = true;
 257   }
 258 
 259   // Get low bit; check for being the only bit
 260   Node *res = nullptr;
 261   unsigned int bit1 = submultiple_power_of_2(abs_con);
 262   if (bit1 == abs_con) {           // Found a power of 2?
 263     res = new LShiftINode(in(1), phase->intcon(log2i_exact(bit1)));
 264   } else {
 265     // Check for constant with 2 bits set
 266     unsigned int bit2 = abs_con - bit1;
 267     bit2 = bit2 & (0 - bit2);          // Extract 2nd bit
 268     if (bit2 + bit1 == abs_con) {    // Found all bits in con?
 269       Node *n1 = phase->transform(new LShiftINode(in(1), phase->intcon(log2i_exact(bit1))));
 270       Node *n2 = phase->transform(new LShiftINode(in(1), phase->intcon(log2i_exact(bit2))));
 271       res = new AddINode(n2, n1);
 272     } else if (is_power_of_2(abs_con + 1)) {
 273       // Sleezy: power-of-2 - 1.  Next time be generic.
 274       unsigned int temp = abs_con + 1;
 275       Node *n1 = phase->transform(new LShiftINode(in(1), phase->intcon(log2i_exact(temp))));
 276       res = new SubINode(n1, in(1));
 277     } else {
 278       return MulNode::Ideal(phase, can_reshape);
 279     }
 280   }
 281 
 282   if (sign_flip) {             // Need to negate result?
 283     res = phase->transform(res);// Transform, before making the zero con
 284     res = new SubINode(phase->intcon(0),res);
 285   }
 286 
 287   return res;                   // Return final result
 288 }
 289 
 290 // This template class performs type multiplication for MulI/MulLNode. NativeType is either jint or jlong.
 291 // In this class, the inputs of the MulNodes are named left and right with types [left_lo,left_hi] and [right_lo,right_hi].
 292 //
 293 // In general, the multiplication of two x-bit values could produce a result that consumes up to 2x bits if there is
 294 // enough space to hold them all. We can therefore distinguish the following two cases for the product:
 295 // - no overflow (i.e. product fits into x bits)
 296 // - overflow (i.e. product does not fit into x bits)
 297 //
 298 // When multiplying the two x-bit inputs 'left' and 'right' with their x-bit types [left_lo,left_hi] and [right_lo,right_hi]
 299 // we need to find the minimum and maximum of all possible products to define a new type. To do that, we compute the
 300 // cross product of [left_lo,left_hi] and [right_lo,right_hi] in 2x-bit space where no over- or underflow can happen.
 301 // The cross product consists of the following four multiplications with 2x-bit results:
 302 // (1) left_lo * right_lo
 303 // (2) left_lo * right_hi
 304 // (3) left_hi * right_lo
 305 // (4) left_hi * right_hi
 306 //
 307 // Let's define the following two functions:
 308 // - Lx(i): Returns the lower x bits of the 2x-bit number i.
 309 // - Ux(i): Returns the upper x bits of the 2x-bit number i.
 310 //
 311 // Let's first assume all products are positive where only overflows are possible but no underflows. If there is no
 312 // overflow for a product p, then the upper x bits of the 2x-bit result p are all zero:
 313 //     Ux(p) = 0
 314 //     Lx(p) = p
 315 //
 316 // If none of the multiplications (1)-(4) overflow, we can truncate the upper x bits and use the following result type
 317 // with x bits:
 318 //      [result_lo,result_hi] = [MIN(Lx(1),Lx(2),Lx(3),Lx(4)),MAX(Lx(1),Lx(2),Lx(3),Lx(4))]
 319 //
 320 // If any of these multiplications overflows, we could pessimistically take the bottom type for the x bit result
 321 // (i.e. all values in the x-bit space could be possible):
 322 //      [result_lo,result_hi] = [NativeType_min,NativeType_max]
 323 //
 324 // However, in case of any overflow, we can do better by analyzing the upper x bits of all multiplications (1)-(4) with
 325 // 2x-bit results. The upper x bits tell us something about how many times a multiplication has overflown the lower
 326 // x bits. If the upper x bits of (1)-(4) are all equal, then we know that all of these multiplications overflowed
 327 // the lower x bits the same number of times:
 328 //     Ux((1)) = Ux((2)) = Ux((3)) = Ux((4))
 329 //
 330 // If all upper x bits are equal, we can conclude:
 331 //     Lx(MIN((1),(2),(3),(4))) = MIN(Lx(1),Lx(2),Lx(3),Lx(4)))
 332 //     Lx(MAX((1),(2),(3),(4))) = MAX(Lx(1),Lx(2),Lx(3),Lx(4)))
 333 //
 334 // Therefore, we can use the same precise x-bit result type as for the no-overflow case:
 335 //     [result_lo,result_hi] = [(MIN(Lx(1),Lx(2),Lx(3),Lx(4))),MAX(Lx(1),Lx(2),Lx(3),Lx(4)))]
 336 //
 337 //
 338 // Now let's assume that (1)-(4) are signed multiplications where over- and underflow could occur:
 339 // Negative numbers are all sign extend with ones. Therefore, if a negative product does not underflow, then the
 340 // upper x bits of the 2x-bit result are all set to ones which is minus one in two's complement. If there is an underflow,
 341 // the upper x bits are decremented by the number of times an underflow occurred. The smallest possible negative product
 342 // is NativeType_min*NativeType_max, where the upper x bits are set to NativeType_min / 2 (b11...0). It is therefore
 343 // impossible to underflow the upper x bits. Thus, when having all ones (i.e. minus one) in the upper x bits, we know
 344 // that there is no underflow.
 345 //
 346 // To be able to compare the number of over-/underflows of positive and negative products, respectively, we normalize
 347 // the upper x bits of negative 2x-bit products by adding one. This way a product has no over- or underflow if the
 348 // normalized upper x bits are zero. Now we can use the same improved type as for strictly positive products because we
 349 // can compare the upper x bits in a unified way with N() being the normalization function:
 350 //     N(Ux((1))) = N(Ux((2))) = N(Ux((3)) = N(Ux((4)))
 351 template<typename NativeType>
 352 class IntegerTypeMultiplication {
 353 
 354   NativeType _lo_left;
 355   NativeType _lo_right;
 356   NativeType _hi_left;
 357   NativeType _hi_right;
 358   short _widen_left;
 359   short _widen_right;
 360 
 361   static const Type* overflow_type();
 362   static NativeType multiply_high(NativeType x, NativeType y);
 363   const Type* create_type(NativeType lo, NativeType hi) const;
 364 
 365   static NativeType multiply_high_signed_overflow_value(NativeType x, NativeType y) {
 366     return normalize_overflow_value(x, y, multiply_high(x, y));
 367   }
 368 
 369   bool cross_product_not_same_overflow_value() const {
 370     const NativeType lo_lo_high_product = multiply_high_signed_overflow_value(_lo_left, _lo_right);
 371     const NativeType lo_hi_high_product = multiply_high_signed_overflow_value(_lo_left, _hi_right);
 372     const NativeType hi_lo_high_product = multiply_high_signed_overflow_value(_hi_left, _lo_right);
 373     const NativeType hi_hi_high_product = multiply_high_signed_overflow_value(_hi_left, _hi_right);
 374     return lo_lo_high_product != lo_hi_high_product ||
 375            lo_hi_high_product != hi_lo_high_product ||
 376            hi_lo_high_product != hi_hi_high_product;
 377   }
 378 
 379   bool does_product_overflow(NativeType x, NativeType y) const {
 380     return multiply_high_signed_overflow_value(x, y) != 0;
 381   }
 382 
 383   static NativeType normalize_overflow_value(const NativeType x, const NativeType y, NativeType result) {
 384     return java_multiply(x, y) < 0 ? result + 1 : result;
 385   }
 386 
 387  public:
 388   template<class IntegerType>
 389   IntegerTypeMultiplication(const IntegerType* left, const IntegerType* right)
 390       : _lo_left(left->_lo), _lo_right(right->_lo),
 391         _hi_left(left->_hi), _hi_right(right->_hi),
 392         _widen_left(left->_widen), _widen_right(right->_widen)  {}
 393 
 394   // Compute the product type by multiplying the two input type ranges. We take the minimum and maximum of all possible
 395   // values (requires 4 multiplications of all possible combinations of the two range boundary values). If any of these
 396   // multiplications overflows/underflows, we need to make sure that they all have the same number of overflows/underflows
 397   // If that is not the case, we return the bottom type to cover all values due to the inconsistent overflows/underflows).
 398   const Type* compute() const {
 399     if (cross_product_not_same_overflow_value()) {
 400       return overflow_type();
 401     }
 402 
 403     NativeType lo_lo_product = java_multiply(_lo_left, _lo_right);
 404     NativeType lo_hi_product = java_multiply(_lo_left, _hi_right);
 405     NativeType hi_lo_product = java_multiply(_hi_left, _lo_right);
 406     NativeType hi_hi_product = java_multiply(_hi_left, _hi_right);
 407     const NativeType min = MIN4(lo_lo_product, lo_hi_product, hi_lo_product, hi_hi_product);
 408     const NativeType max = MAX4(lo_lo_product, lo_hi_product, hi_lo_product, hi_hi_product);
 409     return create_type(min, max);
 410   }
 411 
 412   bool does_overflow() const {
 413     return does_product_overflow(_lo_left, _lo_right) ||
 414            does_product_overflow(_lo_left, _hi_right) ||
 415            does_product_overflow(_hi_left, _lo_right) ||
 416            does_product_overflow(_hi_left, _hi_right);
 417   }
 418 };
 419 
 420 template <>
 421 const Type* IntegerTypeMultiplication<jint>::overflow_type() {
 422   return TypeInt::INT;
 423 }
 424 
 425 template <>
 426 jint IntegerTypeMultiplication<jint>::multiply_high(const jint x, const jint y) {
 427   const jlong x_64 = x;
 428   const jlong y_64 = y;
 429   const jlong product = x_64 * y_64;
 430   return (jint)((uint64_t)product >> 32u);
 431 }
 432 
 433 template <>
 434 const Type* IntegerTypeMultiplication<jint>::create_type(jint lo, jint hi) const {
 435   return TypeInt::make(lo, hi, MAX2(_widen_left, _widen_right));
 436 }
 437 
 438 template <>
 439 const Type* IntegerTypeMultiplication<jlong>::overflow_type() {
 440   return TypeLong::LONG;
 441 }
 442 
 443 template <>
 444 jlong IntegerTypeMultiplication<jlong>::multiply_high(const jlong x, const jlong y) {
 445   return multiply_high_signed(x, y);
 446 }
 447 
 448 template <>
 449 const Type* IntegerTypeMultiplication<jlong>::create_type(jlong lo, jlong hi) const {
 450   return TypeLong::make(lo, hi, MAX2(_widen_left, _widen_right));
 451 }
 452 
 453 // Compute the product type of two integer ranges into this node.
 454 const Type* MulINode::mul_ring(const Type* type_left, const Type* type_right) const {
 455   const IntegerTypeMultiplication<jint> integer_multiplication(type_left->is_int(), type_right->is_int());
 456   return integer_multiplication.compute();
 457 }
 458 
 459 bool MulINode::does_overflow(const TypeInt* type_left, const TypeInt* type_right) {
 460   const IntegerTypeMultiplication<jint> integer_multiplication(type_left, type_right);
 461   return integer_multiplication.does_overflow();
 462 }
 463 
 464 // Compute the product type of two long ranges into this node.
 465 const Type* MulLNode::mul_ring(const Type* type_left, const Type* type_right) const {
 466   const IntegerTypeMultiplication<jlong> integer_multiplication(type_left->is_long(), type_right->is_long());
 467   return integer_multiplication.compute();
 468 }
 469 
 470 //=============================================================================
 471 //------------------------------Ideal------------------------------------------
 472 // Check for power-of-2 multiply, then try the regular MulNode::Ideal
 473 Node *MulLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
 474   const jlong con = in(2)->find_long_con(0);
 475   if (con == 0) {
 476     // If in(2) is not a constant, call Ideal() of the parent class to
 477     // try to move constant to the right side.
 478     return MulNode::Ideal(phase, can_reshape);
 479   }
 480 
 481   // Now we have a constant Node on the right and the constant in con.
 482   if (con == 1) {
 483     // By one is handled by Identity call
 484     return nullptr;
 485   }
 486 
 487   // Check for negative constant; if so negate the final result
 488   bool sign_flip = false;
 489   julong abs_con = g_uabs(con);
 490   if (abs_con != (julong)con) {
 491     sign_flip = true;
 492   }
 493 
 494   // Get low bit; check for being the only bit
 495   Node *res = nullptr;
 496   julong bit1 = submultiple_power_of_2(abs_con);
 497   if (bit1 == abs_con) {           // Found a power of 2?
 498     res = new LShiftLNode(in(1), phase->intcon(log2i_exact(bit1)));
 499   } else {
 500 
 501     // Check for constant with 2 bits set
 502     julong bit2 = abs_con-bit1;
 503     bit2 = bit2 & (0-bit2);          // Extract 2nd bit
 504     if (bit2 + bit1 == abs_con) {    // Found all bits in con?
 505       Node *n1 = phase->transform(new LShiftLNode(in(1), phase->intcon(log2i_exact(bit1))));
 506       Node *n2 = phase->transform(new LShiftLNode(in(1), phase->intcon(log2i_exact(bit2))));
 507       res = new AddLNode(n2, n1);
 508 
 509     } else if (is_power_of_2(abs_con+1)) {
 510       // Sleezy: power-of-2 -1.  Next time be generic.
 511       julong temp = abs_con + 1;
 512       Node *n1 = phase->transform( new LShiftLNode(in(1), phase->intcon(log2i_exact(temp))));
 513       res = new SubLNode(n1, in(1));
 514     } else {
 515       return MulNode::Ideal(phase, can_reshape);
 516     }
 517   }
 518 
 519   if (sign_flip) {             // Need to negate result?
 520     res = phase->transform(res);// Transform, before making the zero con
 521     res = new SubLNode(phase->longcon(0),res);
 522   }
 523 
 524   return res;                   // Return final result
 525 }
 526 
 527 //=============================================================================
 528 //------------------------------mul_ring---------------------------------------
 529 // Compute the product type of two double ranges into this node.
 530 const Type *MulFNode::mul_ring(const Type *t0, const Type *t1) const {
 531   if( t0 == Type::FLOAT || t1 == Type::FLOAT ) return Type::FLOAT;
 532   return TypeF::make( t0->getf() * t1->getf() );
 533 }
 534 
 535 //------------------------------Ideal---------------------------------------
 536 // Check to see if we are multiplying by a constant 2 and convert to add, then try the regular MulNode::Ideal
 537 Node* MulFNode::Ideal(PhaseGVN* phase, bool can_reshape) {
 538   const TypeF *t2 = phase->type(in(2))->isa_float_constant();
 539 
 540   // x * 2 -> x + x
 541   if (t2 != nullptr && t2->getf() == 2) {
 542     Node* base = in(1);
 543     return new AddFNode(base, base);
 544   }
 545   return MulNode::Ideal(phase, can_reshape);
 546 }
 547 
 548 //=============================================================================
 549 //------------------------------Ideal------------------------------------------
 550 // Check to see if we are multiplying by a constant 2 and convert to add, then try the regular MulNode::Ideal
 551 Node* MulHFNode::Ideal(PhaseGVN* phase, bool can_reshape) {
 552   const TypeH* t2 = phase->type(in(2))->isa_half_float_constant();
 553 
 554   // x * 2 -> x + x
 555   if (t2 != nullptr && t2->getf() == 2) {
 556     Node* base = in(1);
 557     return new AddHFNode(base, base);
 558   }
 559   return MulNode::Ideal(phase, can_reshape);
 560 }
 561 
 562 // Compute the product type of two half float ranges into this node.
 563 const Type* MulHFNode::mul_ring(const Type* t0, const Type* t1) const {
 564   if (t0 == Type::HALF_FLOAT || t1 == Type::HALF_FLOAT) {
 565     return Type::HALF_FLOAT;
 566   }
 567   return TypeH::make(t0->getf() * t1->getf());
 568 }
 569 
 570 //=============================================================================
 571 //------------------------------mul_ring---------------------------------------
 572 // Compute the product type of two double ranges into this node.
 573 const Type *MulDNode::mul_ring(const Type *t0, const Type *t1) const {
 574   if( t0 == Type::DOUBLE || t1 == Type::DOUBLE ) return Type::DOUBLE;
 575   // We must be multiplying 2 double constants.
 576   return TypeD::make( t0->getd() * t1->getd() );
 577 }
 578 
 579 //------------------------------Ideal---------------------------------------
 580 // Check to see if we are multiplying by a constant 2 and convert to add, then try the regular MulNode::Ideal
 581 Node* MulDNode::Ideal(PhaseGVN* phase, bool can_reshape) {
 582   const TypeD *t2 = phase->type(in(2))->isa_double_constant();
 583 
 584   // x * 2 -> x + x
 585   if (t2 != nullptr && t2->getd() == 2) {
 586     Node* base = in(1);
 587     return new AddDNode(base, base);
 588   }
 589 
 590   return MulNode::Ideal(phase, can_reshape);
 591 }
 592 
 593 //=============================================================================
 594 //------------------------------Value------------------------------------------
 595 const Type* MulHiLNode::Value(PhaseGVN* phase) const {
 596   const Type *t1 = phase->type( in(1) );
 597   const Type *t2 = phase->type( in(2) );
 598   const Type *bot = bottom_type();
 599   return MulHiValue(t1, t2, bot);
 600 }
 601 
 602 const Type* UMulHiLNode::Value(PhaseGVN* phase) const {
 603   const Type *t1 = phase->type( in(1) );
 604   const Type *t2 = phase->type( in(2) );
 605   const Type *bot = bottom_type();
 606   return MulHiValue(t1, t2, bot);
 607 }
 608 
 609 // A common routine used by UMulHiLNode and MulHiLNode
 610 const Type* MulHiValue(const Type *t1, const Type *t2, const Type *bot) {
 611   // Either input is TOP ==> the result is TOP
 612   if( t1 == Type::TOP ) return Type::TOP;
 613   if( t2 == Type::TOP ) return Type::TOP;
 614 
 615   // Either input is BOTTOM ==> the result is the local BOTTOM
 616   if( (t1 == bot) || (t2 == bot) ||
 617       (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
 618     return bot;
 619 
 620   // It is not worth trying to constant fold this stuff!
 621   return TypeLong::LONG;
 622 }
 623 
 624 //=============================================================================
 625 //------------------------------mul_ring---------------------------------------
 626 // Supplied function returns the product of the inputs IN THE CURRENT RING.
 627 // For the logical operations the ring's MUL is really a logical AND function.
 628 // This also type-checks the inputs for sanity.  Guaranteed never to
 629 // be passed a TOP or BOTTOM type, these are filtered out by pre-check.
 630 const Type* AndINode::mul_ring(const Type* t1, const Type* t2) const {
 631   return RangeInference::infer_and(t1->is_int(), t2->is_int());
 632 }
 633 
 634 static bool AndIL_is_zero_element_under_mask(const PhaseGVN* phase, const Node* expr, const Node* mask, BasicType bt);
 635 
 636 const Type* AndINode::Value(PhaseGVN* phase) const {
 637   if (AndIL_is_zero_element_under_mask(phase, in(1), in(2), T_INT) ||
 638       AndIL_is_zero_element_under_mask(phase, in(2), in(1), T_INT)) {
 639     return TypeInt::ZERO;
 640   }
 641 
 642   return MulNode::Value(phase);
 643 }
 644 
 645 //------------------------------Identity---------------------------------------
 646 // Masking off the high bits of an unsigned load is not required
 647 Node* AndINode::Identity(PhaseGVN* phase) {
 648 
 649   // x & x => x
 650   if (in(1) == in(2)) {
 651     return in(1);
 652   }
 653 
 654   const TypeInt* t1 = phase->type(in(1))->is_int();
 655   const TypeInt* t2 = phase->type(in(2))->is_int();
 656 
 657   if ((~t1->_bits._ones & ~t2->_bits._zeros) == 0) {
 658     // All bits that might be 0 in in1 are known to be 0 in in2
 659     return in(2);
 660   }
 661 
 662   if ((~t2->_bits._ones & ~t1->_bits._zeros) == 0) {
 663     // All bits that might be 0 in in2 are known to be 0 in in1
 664     return in(1);
 665   }
 666 
 667   return MulNode::Identity(phase);
 668 }
 669 
 670 //------------------------------Ideal------------------------------------------
 671 Node *AndINode::Ideal(PhaseGVN *phase, bool can_reshape) {
 672   // Simplify (v1 + v2) & mask to v1 & mask or v2 & mask when possible.
 673   Node* progress = AndIL_sum_and_mask(phase, T_INT);
 674   if (progress != nullptr) {
 675     return progress;
 676   }
 677 
 678   // Convert "(~a) & (~b)" into "~(a | b)"
 679   if (AddNode::is_not(phase, in(1), T_INT) && AddNode::is_not(phase, in(2), T_INT)) {
 680     Node* or_a_b = new OrINode(in(1)->in(1), in(2)->in(1));
 681     Node* tn = phase->transform(or_a_b);
 682     return AddNode::make_not(phase, tn, T_INT);
 683   }
 684 
 685   // Special case constant AND mask
 686   const TypeInt *t2 = phase->type( in(2) )->isa_int();
 687   if( !t2 || !t2->is_con() ) return MulNode::Ideal(phase, can_reshape);
 688   const int mask = t2->get_con();
 689   Node *load = in(1);
 690   uint lop = load->Opcode();
 691 
 692   // Masking bits off of a Character?  Hi bits are already zero.
 693   if( lop == Op_LoadUS &&
 694       (mask & 0xFFFF0000) )     // Can we make a smaller mask?
 695     return new AndINode(load,phase->intcon(mask&0xFFFF));
 696 
 697   // Masking bits off of a Short?  Loading a Character does some masking
 698   if (can_reshape &&
 699       load->outcnt() == 1 && load->unique_out() == this) {
 700     if (lop == Op_LoadS && (mask & 0xFFFF0000) == 0 ) {
 701       Node* ldus = load->as_Load()->convert_to_unsigned_load(*phase);
 702       ldus = phase->transform(ldus);
 703       return new AndINode(ldus, phase->intcon(mask & 0xFFFF));
 704     }
 705 
 706     // Masking sign bits off of a Byte?  Do an unsigned byte load plus
 707     // an and.
 708     if (lop == Op_LoadB && (mask & 0xFFFFFF00) == 0) {
 709       Node* ldub = load->as_Load()->convert_to_unsigned_load(*phase);
 710       ldub = phase->transform(ldub);
 711       return new AndINode(ldub, phase->intcon(mask));
 712     }
 713   }
 714 
 715   // Masking off sign bits?  Dont make them!
 716   if( lop == Op_RShiftI ) {
 717     const TypeInt *t12 = phase->type(load->in(2))->isa_int();
 718     if( t12 && t12->is_con() ) { // Shift is by a constant
 719       int shift = t12->get_con();
 720       shift &= BitsPerJavaInteger-1;  // semantics of Java shifts
 721       const int sign_bits_mask = ~right_n_bits(BitsPerJavaInteger - shift);
 722       // If the AND'ing of the 2 masks has no bits, then only original shifted
 723       // bits survive.  NO sign-extension bits survive the maskings.
 724       if( (sign_bits_mask & mask) == 0 ) {
 725         // Use zero-fill shift instead
 726         Node *zshift = phase->transform(new URShiftINode(load->in(1),load->in(2)));
 727         return new AndINode( zshift, in(2) );
 728       }
 729     }
 730   }
 731 
 732   // Check for 'negate/and-1', a pattern emitted when someone asks for
 733   // 'mod 2'.  Negate leaves the low order bit unchanged (think: complement
 734   // plus 1) and the mask is of the low order bit.  Skip the negate.
 735   if( lop == Op_SubI && mask == 1 && load->in(1) &&
 736       phase->type(load->in(1)) == TypeInt::ZERO )
 737     return new AndINode( load->in(2), in(2) );
 738 
 739   return MulNode::Ideal(phase, can_reshape);
 740 }
 741 
 742 //=============================================================================
 743 //------------------------------mul_ring---------------------------------------
 744 // Supplied function returns the product of the inputs IN THE CURRENT RING.
 745 // For the logical operations the ring's MUL is really a logical AND function.
 746 // This also type-checks the inputs for sanity.  Guaranteed never to
 747 // be passed a TOP or BOTTOM type, these are filtered out by pre-check.
 748 const Type* AndLNode::mul_ring(const Type* t1, const Type* t2) const {
 749   return RangeInference::infer_and(t1->is_long(), t2->is_long());
 750 }
 751 
 752 const Type* AndLNode::Value(PhaseGVN* phase) const {
 753   if (AndIL_is_zero_element_under_mask(phase, in(1), in(2), T_LONG) ||
 754       AndIL_is_zero_element_under_mask(phase, in(2), in(1), T_LONG)) {
 755     return TypeLong::ZERO;
 756   }
 757 
 758   return MulNode::Value(phase);
 759 }
 760 
 761 //------------------------------Identity---------------------------------------
 762 // Masking off the high bits of an unsigned load is not required
 763 Node* AndLNode::Identity(PhaseGVN* phase) {
 764 
 765   // x & x => x
 766   if (in(1) == in(2)) {
 767     return in(1);
 768   }
 769 
 770   const TypeLong* t1 = phase->type(in(1))->is_long();
 771   const TypeLong* t2 = phase->type(in(2))->is_long();
 772 
 773   if ((~t1->_bits._ones & ~t2->_bits._zeros) == 0) {
 774     // All bits that might be 0 in in1 are known to be 0 in in2
 775     return in(2);
 776   }
 777 
 778   if ((~t2->_bits._ones & ~t1->_bits._zeros) == 0) {
 779     // All bits that might be 0 in in2 are known to be 0 in in1
 780     return in(1);
 781   }
 782 
 783   return MulNode::Identity(phase);
 784 }
 785 
 786 //------------------------------Ideal------------------------------------------
 787 Node *AndLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
 788   // Simplify (v1 + v2) & mask to v1 & mask or v2 & mask when possible.
 789   Node* progress = AndIL_sum_and_mask(phase, T_LONG);
 790   if (progress != nullptr) {
 791     return progress;
 792   }
 793 
 794   // Convert "(~a) & (~b)" into "~(a | b)"
 795   if (AddNode::is_not(phase, in(1), T_LONG) && AddNode::is_not(phase, in(2), T_LONG)) {
 796     Node* or_a_b = new OrLNode(in(1)->in(1), in(2)->in(1));
 797     Node* tn = phase->transform(or_a_b);
 798     return AddNode::make_not(phase, tn, T_LONG);
 799   }
 800 
 801   // Special case constant AND mask
 802   const TypeLong *t2 = phase->type( in(2) )->isa_long();
 803   if( !t2 || !t2->is_con() ) return MulNode::Ideal(phase, can_reshape);
 804   const jlong mask = t2->get_con();
 805 
 806   Node* in1 = in(1);
 807   int op = in1->Opcode();
 808 
 809   // Are we masking a long that was converted from an int with a mask
 810   // that fits in 32-bits?  Commute them and use an AndINode.  Don't
 811   // convert masks which would cause a sign extension of the integer
 812   // value.  This check includes UI2L masks (0x00000000FFFFFFFF) which
 813   // would be optimized away later in Identity.
 814   if (op == Op_ConvI2L && (mask & UCONST64(0xFFFFFFFF80000000)) == 0) {
 815     Node* andi = new AndINode(in1->in(1), phase->intcon(mask));
 816     andi = phase->transform(andi);
 817     return new ConvI2LNode(andi);
 818   }
 819 
 820   // Masking off sign bits?  Dont make them!
 821   if (op == Op_RShiftL) {
 822     const TypeInt* t12 = phase->type(in1->in(2))->isa_int();
 823     if( t12 && t12->is_con() ) { // Shift is by a constant
 824       int shift = t12->get_con();
 825       shift &= BitsPerJavaLong - 1;  // semantics of Java shifts
 826       if (shift != 0) {
 827         const julong sign_bits_mask = ~(((julong)CONST64(1) << (julong)(BitsPerJavaLong - shift)) -1);
 828         // If the AND'ing of the 2 masks has no bits, then only original shifted
 829         // bits survive.  NO sign-extension bits survive the maskings.
 830         if( (sign_bits_mask & mask) == 0 ) {
 831           // Use zero-fill shift instead
 832           Node *zshift = phase->transform(new URShiftLNode(in1->in(1), in1->in(2)));
 833           return new AndLNode(zshift, in(2));
 834         }
 835       }
 836     }
 837   }
 838 
 839   return MulNode::Ideal(phase, can_reshape);
 840 }
 841 
 842 LShiftNode* LShiftNode::make(Node* in1, Node* in2, BasicType bt) {
 843   switch (bt) {
 844     case T_INT:
 845       return new LShiftINode(in1, in2);
 846     case T_LONG:
 847       return new LShiftLNode(in1, in2);
 848     default:
 849       fatal("Not implemented for %s", type2name(bt));
 850   }
 851   return nullptr;
 852 }
 853 
 854 // Returns whether the shift amount is constant or effectively constant (low bits known).
 855 //
 856 // Parameters:
 857 //   masked_shift - always initialized to 0; if the function returns true, it indicates
 858 //                  the masked shift amount.
 859 //   replace      - always initialized to false; if the function returns true, it indicates
 860 //                  whether the shift_node's shift count input should be replaced with masked_shift.
 861 static bool mask_shift_amount(PhaseGVN* phase, const Node* shift_node, uint num_bits, uint& masked_shift, bool& replace) {
 862   masked_shift = 0;
 863   replace = false;
 864 
 865   const TypeInt* tcount = phase->type(shift_node->in(2))->isa_int();
 866 
 867   if (tcount != nullptr) {
 868     uint mask = num_bits - 1;
 869     // Canonicalize shift count via type-level masking to expose constants
 870     const TypeInt* masked_type = RangeInference::infer_and(tcount, TypeInt::make(mask));
 871     if (masked_type != nullptr && masked_type->is_con()) {
 872       masked_shift = masked_type->get_con();
 873       replace = !tcount->is_con() || (tcount->get_con() != (int)masked_shift);
 874       return true;
 875     }
 876   }
 877   return false;
 878 }
 879 
 880 // Convenience for when we don't care about the 'replace' output.
 881 static bool mask_shift_amount(PhaseGVN* phase, const Node* shift_node, uint num_bits, uint& masked_shift) {
 882   bool unused;
 883   return mask_shift_amount(phase, shift_node, num_bits, masked_shift, unused /*replace*/);
 884 }
 885 
 886 // Use this in ::Ideal only with shiftNode == this!
 887 // Sets masked_shift to the effective masked shift amount if constant or 0 if not constant.
 888 // Returns shift_node if the shift amount input node was modified, nullptr otherwise.
 889 static Node* mask_and_replace_shift_amount(PhaseGVN* phase, Node* shift_node, uint num_bits, uint& masked_shift) {
 890   if (bool replace; mask_shift_amount(phase, shift_node, num_bits, masked_shift, replace)) {
 891     if (masked_shift == 0) {
 892       // Let Identity() handle 0 shift count.
 893       return nullptr;
 894     }
 895 
 896     if (replace) {
 897       // Replace shift count with masked value and put potential dead nodes on the worklist.
 898       shift_node->set_req_X(2, phase->intcon(masked_shift), phase);
 899 
 900       // We need to notify the caller that the graph was reshaped, as Ideal needs
 901       // to return the root of the reshaped graph if any change was made.
 902       return shift_node;
 903     }
 904   }
 905 
 906   return nullptr;
 907 }
 908 
 909 // Called with
 910 //   outer_shift = (_ << rhs_outer)
 911 // We are looking for the pattern:
 912 //   outer_shift = ((X << rhs_inner) << rhs_outer)
 913 //   where rhs_outer and rhs_inner are constant
 914 //   we denote inner_shift the nested expression (X << rhs_inner)
 915 //   con_inner = rhs_inner % nbits and con_outer = rhs_outer % nbits
 916 //   where nbits is the number of bits of the shifts
 917 //
 918 // There are 2 cases:
 919 // if con_outer + con_inner >= nbits => 0
 920 // if con_outer + con_inner < nbits => X << (con_outer + con_inner)
 921 static Node* collapse_nested_shift_left(PhaseGVN* phase, const Node* outer_shift, uint con_outer, BasicType bt) {
 922   assert(bt == T_LONG || bt == T_INT, "Unexpected type");
 923   const Node* inner_shift = outer_shift->in(1);
 924   if (inner_shift->Opcode() != Op_LShift(bt)) {
 925     return nullptr;
 926   }
 927 
 928   uint nbits = bits_per_java_integer(bt);
 929   uint con_inner;
 930   if (!mask_shift_amount(phase, inner_shift, nbits, con_inner)) {
 931     return nullptr;
 932   }
 933 
 934   if (con_inner == 0) {
 935     // We let the Identity() of the inner shift do its job.
 936     return nullptr;
 937   }
 938 
 939   if (con_outer + con_inner >= nbits) {
 940     // While it might be tempting to use
 941     // phase->zerocon(bt);
 942     // it would be incorrect: zerocon caches nodes, while Ideal is only allowed
 943     // to return a new node, this or nullptr, but not an old (cached) node.
 944     return ConNode::make(TypeInteger::zero(bt));
 945   }
 946 
 947   // con0 + con1 < nbits ==> actual shift happens now
 948   Node* con0_plus_con1 = phase->intcon(con_outer + con_inner);
 949   return LShiftNode::make(inner_shift->in(1), con0_plus_con1, bt);
 950 }
 951 
 952 //------------------------------Identity---------------------------------------
 953 Node* LShiftINode::Identity(PhaseGVN* phase) {
 954   return IdentityIL(phase, T_INT);
 955 }
 956 
 957 Node* LShiftNode::IdealIL(PhaseGVN* phase, bool can_reshape, BasicType bt) {
 958   uint con;
 959   uint num_bits = bits_per_java_integer(bt);
 960   Node* progress = mask_and_replace_shift_amount(phase, this, num_bits, con);
 961   if (con == 0) {
 962     return nullptr;
 963   }
 964 
 965   // If the right input is a constant, and the left input is an add of a
 966   // constant, flatten the tree: (X+con1)<<con0 ==> X<<con0 + con1<<con0
 967   Node* add1 = in(1);
 968   int add1_op = add1->Opcode();
 969   if (add1_op == Op_Add(bt)) {    // Left input is an add?
 970     assert(add1 != add1->in(1), "dead loop in LShiftINode::Ideal");
 971 
 972     // Transform is legal, but check for profit.  Avoid breaking 'i2s'
 973     // and 'i2b' patterns which typically fold into 'StoreC/StoreB'.
 974     if (bt != T_INT || con < 16) {
 975       // Left input is an add of the same number?
 976       if (con != (num_bits - 1) && add1->in(1) == add1->in(2)) {
 977         // Convert "(x + x) << c0" into "x << (c0 + 1)"
 978         // In general, this optimization cannot be applied for c0 == 31 (for LShiftI) since
 979         // 2x << 31 != x << 32 = x << 0 = x (e.g. x = 1: 2 << 31 = 0 != 1)
 980         // or c0 != 63 (for LShiftL) because:
 981         // (x + x) << 63 = 2x << 63, while
 982         // (x + x) << 63 --transform--> x << 64 = x << 0 = x (!= 2x << 63, for example for x = 1)
 983         // According to the Java spec, chapter 15.19, we only consider the six lowest-order bits of the right-hand operand
 984         // (i.e. "right-hand operand" & 0b111111). Therefore, x << 64 is the same as x << 0 (64 = 0b10000000 & 0b0111111 = 0).
 985         return LShiftNode::make(add1->in(1), phase->intcon(con + 1), bt);
 986       }
 987 
 988       // Left input is an add of a constant?
 989       const TypeInteger* t12 = phase->type(add1->in(2))->isa_integer(bt);
 990       if (t12 != nullptr && t12->is_con()) { // Left input is an add of a con?
 991         // Compute X << con0
 992         Node* lsh = phase->transform(LShiftNode::make(add1->in(1), in(2), bt));
 993         // Compute X<<con0 + (con1<<con0)
 994         return AddNode::make(lsh, phase->integercon(java_shift_left(t12->get_con_as_long(bt), con, bt), bt), bt);
 995       }
 996     }
 997   }
 998   // Check for "(con0 - X) << con1"
 999   // Transform is legal, but check for profit.  Avoid breaking 'i2s'
1000   // and 'i2b' patterns which typically fold into 'StoreC/StoreB'.
1001   if (add1_op == Op_Sub(bt) && (bt != T_INT || con < 16)) {    // Left input is a sub?
1002     // Left input is a sub from a constant?
1003     const TypeInteger* t11 = phase->type(add1->in(1))->isa_integer(bt);
1004     if (t11 != nullptr && t11->is_con()) {
1005       // Compute X << con0
1006       Node* lsh = phase->transform(LShiftNode::make(add1->in(2), in(2), bt));
1007       // Compute (con1<<con0) - (X<<con0)
1008       return SubNode::make(phase->integercon(java_shift_left(t11->get_con_as_long(bt), con, bt), bt), lsh, bt);
1009     }
1010   }
1011 
1012   // Check for "(x >> C1) << C2"
1013   if (add1_op == Op_RShift(bt) || add1_op == Op_URShift(bt)) {
1014     uint add1Con;
1015     mask_shift_amount(phase, add1, num_bits, add1Con);
1016 
1017     // Special case C1 == C2, which just masks off low bits
1018     if (add1Con > 0 && con == add1Con) {
1019       // Convert to "(x & -(1 << C2))"
1020       return  MulNode::make_and(add1->in(1), phase->integercon(java_negate(java_shift_left(1, con, bt), bt), bt), bt);
1021     } else {
1022       // Wait until the right shift has been sharpened to the correct count
1023       if (add1Con > 0) {
1024         // As loop parsing can produce LShiftI nodes, we should wait until the graph is fully formed
1025         // to apply optimizations, otherwise we can inadvertently stop vectorization opportunities.
1026         if (phase->is_IterGVN()) {
1027           if (con > add1Con) {
1028             // Creates "(x << (C2 - C1)) & -(1 << C2)"
1029             Node* lshift = phase->transform(LShiftNode::make(add1->in(1), phase->intcon(con - add1Con), bt));
1030             return MulNode::make_and(lshift, phase->integercon(java_negate(java_shift_left(1, con, bt), bt), bt), bt);
1031           } else {
1032             assert(con < add1Con, "must be (%d < %d)", con, add1Con);
1033             // Creates "(x >> (C1 - C2)) & -(1 << C2)"
1034 
1035             // Handle logical and arithmetic shifts
1036             Node* rshift;
1037             if (add1_op == Op_RShift(bt)) {
1038               rshift = phase->transform(RShiftNode::make(add1->in(1), phase->intcon(add1Con - con), bt));
1039             } else {
1040               rshift = phase->transform(URShiftNode::make(add1->in(1), phase->intcon(add1Con - con), bt));
1041             }
1042 
1043             return MulNode::make_and(rshift, phase->integercon(java_negate(java_shift_left(1,  con, bt)), bt), bt);
1044           }
1045         } else {
1046           phase->record_for_igvn(this);
1047         }
1048       }
1049     }
1050   }
1051 
1052   // Check for "((x >> C1) & Y) << C2"
1053   if (add1_op == Op_And(bt)) {
1054     Node* add2 = add1->in(1);
1055     int add2_op = add2->Opcode();
1056     if (add2_op == Op_RShift(bt) || add2_op == Op_URShift(bt)) {
1057       // Special case C1 == C2, which just masks off low bits
1058       if (add2->in(2) == in(2)) {
1059         // Convert to "(x & (Y << C2))"
1060         Node* y_sh = phase->transform(LShiftNode::make(add1->in(2), phase->intcon(con), bt));
1061         return MulNode::make_and(add2->in(1), y_sh, bt);
1062       }
1063 
1064       uint add2Con;
1065       if (mask_shift_amount(phase, add2, num_bits, add2Con) && add2Con > 0) {
1066         if (phase->is_IterGVN()) {
1067           // Convert to "((x >> C1) << C2) & (Y << C2)"
1068 
1069           // Make "(x >> C1) << C2", which will get folded away by the rule above
1070           Node* x_sh = phase->transform(LShiftNode::make(add2, phase->intcon(con), bt));
1071           // Make "Y << C2", which will simplify when Y is a constant
1072           Node* y_sh = phase->transform(LShiftNode::make(add1->in(2), phase->intcon(con), bt));
1073 
1074           return MulNode::make_and(x_sh, y_sh, bt);
1075         } else {
1076           phase->record_for_igvn(this);
1077         }
1078       }
1079     }
1080   }
1081 
1082   // Check for ((x & ((1<<(32-c0))-1)) << c0) which ANDs off high bits
1083   // before shifting them away.
1084   const jlong bits_mask = max_unsigned_integer(bt) >> con;
1085   assert(bt != T_INT || bits_mask == right_n_bits(num_bits - con), "inconsistent");
1086   if (add1_op == Op_And(bt) &&
1087       phase->type(add1->in(2)) == TypeInteger::make(bits_mask, bt)) {
1088     return LShiftNode::make(add1->in(1), in(2), bt);
1089   }
1090 
1091   // Collapse nested left-shifts with constant rhs:
1092   // (X << con1) << con2 ==> X << (con1 + con2)
1093   Node* doubleShift = collapse_nested_shift_left(phase, this, con, bt);
1094   if (doubleShift != nullptr) {
1095     return doubleShift;
1096   }
1097 
1098   return progress;
1099 }
1100 
1101 //------------------------------Ideal------------------------------------------
1102 Node* LShiftINode::Ideal(PhaseGVN *phase, bool can_reshape) {
1103   return IdealIL(phase, can_reshape, T_INT);
1104 }
1105 
1106 const Type* LShiftNode::ValueIL(PhaseGVN* phase, BasicType bt) const {
1107   const Type* t1 = phase->type(in(1));
1108   const Type* t2 = phase->type(in(2));
1109   // Either input is TOP ==> the result is TOP
1110   if (t1 == Type::TOP) {
1111     return Type::TOP;
1112   }
1113   if (t2 == Type::TOP) {
1114     return Type::TOP;
1115   }
1116 
1117   // Left input is ZERO ==> the result is ZERO.
1118   if (t1 == TypeInteger::zero(bt)) {
1119     return TypeInteger::zero(bt);
1120   }
1121   // Shift by zero does nothing
1122   if (t2 == TypeInt::ZERO) {
1123     return t1;
1124   }
1125 
1126   // If nothing is known about the shift amount then the result is BOTTOM
1127   if (t2 == TypeInt::INT) {
1128     return TypeInteger::bottom(bt);
1129   }
1130 
1131   const TypeInteger* r1 = t1->is_integer(bt); // Handy access
1132   // Since the shift semantics in Java take into account only the bottom five
1133   // bits for ints and the bottom six bits for longs, we can further constrain
1134   // the range of values of the shift amount by ANDing with the right mask based
1135   // on whether the type is int or long.
1136   const TypeInt* mask = TypeInt::make(bits_per_java_integer(bt) - 1);
1137   const TypeInt* r2 = RangeInference::infer_and(t2->is_int(), mask);
1138 
1139   if (!r2->is_con()) {
1140     return TypeInteger::bottom(bt);
1141   }
1142 
1143   uint shift = r2->get_con();
1144   // Shift by a multiple of 32/64 does nothing:
1145   if (shift == 0) {
1146     return t1;
1147   }
1148 
1149   // If the shift is a constant, shift the bounds of the type,
1150   // unless this could lead to an overflow.
1151   if (!r1->is_con()) {
1152 #ifdef ASSERT
1153     if (bt == T_INT) {
1154       jlong lo = r1->lo_as_long(), hi = r1->hi_as_long();
1155       jint lo_int = r1->is_int()->_lo, hi_int = r1->is_int()->_hi;
1156       assert((java_shift_right(java_shift_left(lo, shift, bt),  shift, bt) == lo) == (((lo_int << shift) >> shift) == lo_int), "inconsistent");
1157       assert((java_shift_right(java_shift_left(hi, shift, bt),  shift, bt) == hi) == (((hi_int << shift) >> shift) == hi_int), "inconsistent");
1158     }
1159 #endif
1160 
1161     if (bt == T_INT) {
1162         return RangeInference::infer_lshift(r1->is_int(), shift);
1163     }
1164 
1165     return RangeInference::infer_lshift(r1->is_long(), shift);
1166   }
1167 
1168   return TypeInteger::make(java_shift_left(r1->get_con_as_long(bt), shift, bt), bt);
1169 }
1170 
1171 //------------------------------Value------------------------------------------
1172 const Type* LShiftINode::Value(PhaseGVN* phase) const {
1173   return ValueIL(phase, T_INT);
1174 }
1175 
1176 Node* LShiftNode::IdentityIL(PhaseGVN* phase, BasicType bt) {
1177   uint count;
1178   if (mask_shift_amount(phase, this, bits_per_java_integer(bt), count) && count == 0) {
1179     // Shift by a multiple of 32/64 does nothing
1180     return in(1);
1181   }
1182   return this;
1183 }
1184 
1185 //=============================================================================
1186 //------------------------------Identity---------------------------------------
1187 Node* LShiftLNode::Identity(PhaseGVN* phase) {
1188   return IdentityIL(phase, T_LONG);
1189 }
1190 
1191 //------------------------------Ideal------------------------------------------
1192 Node* LShiftLNode::Ideal(PhaseGVN* phase, bool can_reshape) {
1193   return IdealIL(phase, can_reshape, T_LONG);
1194 }
1195 
1196 //------------------------------Value------------------------------------------
1197 const Type* LShiftLNode::Value(PhaseGVN* phase) const {
1198   return ValueIL(phase, T_LONG);
1199 }
1200 
1201 RShiftNode* RShiftNode::make(Node* in1, Node* in2, BasicType bt) {
1202   switch (bt) {
1203     case T_INT:
1204       return new RShiftINode(in1, in2);
1205     case T_LONG:
1206       return new RShiftLNode(in1, in2);
1207     default:
1208       fatal("Not implemented for %s", type2name(bt));
1209   }
1210   return nullptr;
1211 }
1212 
1213 
1214 //=============================================================================
1215 //------------------------------Identity---------------------------------------
1216 Node* RShiftNode::IdentityIL(PhaseGVN* phase, BasicType bt) {
1217   uint count;
1218   uint num_bits = bits_per_java_integer(bt);
1219   if (mask_shift_amount(phase, this, num_bits, count)) {
1220     if (count == 0) {
1221       // Shift by a multiple of 32/64 does nothing
1222       return in(1);
1223     }
1224     // Check for useless sign-masking
1225     uint lshift_count;
1226     if (in(1)->Opcode() == Op_LShift(bt) &&
1227         in(1)->req() == 3 &&
1228         // Compare shift counts by value, not by node pointer, to also match a not-yet-normalized
1229         // negative constant (e.g. -1 vs 31)
1230         mask_shift_amount(phase, in(1), num_bits, lshift_count)) {
1231       if (count == lshift_count) {
1232         // Compute masks for which this shifting doesn't change
1233         jlong lo = (CONST64(-1) << (num_bits - count - 1)); // FFFF8000
1234         jlong hi = ~lo;                                                            // 00007FFF
1235         const TypeInteger* t11 = phase->type(in(1)->in(1))->isa_integer(bt);
1236         if (t11 == nullptr) {
1237           return this;
1238         }
1239         // Does actual value fit inside of mask?
1240         if (lo <= t11->lo_as_long() && t11->hi_as_long() <= hi) {
1241           return in(1)->in(1);      // Then shifting is a nop
1242         }
1243       }
1244     }
1245   }
1246   return this;
1247 }
1248 
1249 Node* RShiftINode::Identity(PhaseGVN* phase) {
1250   return IdentityIL(phase, T_INT);
1251 }
1252 
1253 Node* RShiftNode::IdealIL(PhaseGVN* phase, bool can_reshape, BasicType bt) {
1254   // Inputs may be TOP if they are dead.
1255   const TypeInteger* t1 = phase->type(in(1))->isa_integer(bt);
1256   if (t1 == nullptr) {
1257     return NodeSentinel;        // Left input is an integer
1258   }
1259 
1260   uint shift;
1261   Node* progress = mask_and_replace_shift_amount(phase, this, bits_per_java_integer(bt), shift);
1262   if (shift == 0) {
1263     return NodeSentinel;
1264   }
1265 
1266   // Check for (x & 0xFF000000) >> 24, whose mask can be made smaller.
1267   // and convert to (x >> 24) & (0xFF000000 >> 24) = x >> 24
1268   // Such expressions arise normally from shift chains like (byte)(x >> 24).
1269   const Node* and_node = in(1);
1270   if (and_node->Opcode() != Op_And(bt)) {
1271     return progress;
1272   }
1273   const TypeInteger* mask_t = phase->type(and_node->in(2))->isa_integer(bt);
1274   if (mask_t != nullptr && mask_t->is_con()) {
1275     jlong maskbits = mask_t->get_con_as_long(bt);
1276     // Convert to "(x >> shift) & (mask >> shift)"
1277     Node* shr_nomask = phase->transform(RShiftNode::make(and_node->in(1), in(2), bt));
1278     return MulNode::make_and(shr_nomask, phase->integercon(maskbits >> shift, bt), bt);
1279   }
1280 
1281   return progress;
1282 }
1283 
1284 Node* RShiftINode::Ideal(PhaseGVN* phase, bool can_reshape) {
1285   Node* progress = IdealIL(phase, can_reshape, T_INT);
1286   if (progress == NodeSentinel) {
1287     return nullptr;
1288   }
1289   if (progress != nullptr) {
1290     return progress;
1291   }
1292   uint shift;
1293   progress = mask_and_replace_shift_amount(phase, this, BitsPerJavaInteger, shift);
1294   assert(shift != 0, "handled by IdealIL");
1295 
1296   // Check for "(short[i] <<16)>>16" which simply sign-extends
1297   const Node *shl = in(1);
1298   if (shl->Opcode() != Op_LShiftI) {
1299     return progress;
1300   }
1301 
1302   const TypeInt* left_shift_t = phase->type(shl->in(2))->isa_int();
1303   if (left_shift_t == nullptr) {
1304     return progress;
1305   }
1306   if (shift == 16 && left_shift_t->is_con(16)) {
1307     Node *ld = shl->in(1);
1308     if (ld->Opcode() == Op_LoadS) {
1309       // Sign extension is just useless here.  Return a RShiftI of zero instead
1310       // returning 'ld' directly.  We cannot return an old Node directly as
1311       // that is the job of 'Identity' calls and Identity calls only work on
1312       // direct inputs ('ld' is an extra Node removed from 'this').  The
1313       // combined optimization requires Identity only return direct inputs.
1314       set_req_X(1, ld, phase);
1315       set_req_X(2, phase->intcon(0), phase);
1316       return this;
1317     }
1318     else if (can_reshape &&
1319              ld->Opcode() == Op_LoadUS &&
1320              ld->outcnt() == 1 && ld->unique_out() == shl)
1321       // Replace zero-extension-load with sign-extension-load
1322       return ld->as_Load()->convert_to_signed_load(*phase);
1323   }
1324 
1325   // Check for "(byte[i] <<24)>>24" which simply sign-extends
1326   if (shift == 24 && left_shift_t->is_con(24)) {
1327     Node *ld = shl->in(1);
1328     if (ld->Opcode() == Op_LoadB) {
1329       // Sign extension is just useless here
1330       set_req_X(1, ld, phase);
1331       set_req_X(2, phase->intcon(0), phase);
1332       return this;
1333     }
1334   }
1335 
1336   return progress;
1337 }
1338 
1339 const Type* RShiftNode::ValueIL(PhaseGVN* phase, BasicType bt) const {
1340   const Type* t1 = phase->type(in(1));
1341   const Type* t2 = phase->type(in(2));
1342   // Either input is TOP ==> the result is TOP
1343   if (t1 == Type::TOP) {
1344     return Type::TOP;
1345   }
1346   if (t2 == Type::TOP) {
1347     return Type::TOP;
1348   }
1349 
1350   // Left input is ZERO ==> the result is ZERO.
1351   if (t1 == TypeInteger::zero(bt)) {
1352     return TypeInteger::zero(bt);
1353   }
1354   // Shift by zero does nothing
1355   if (t2 == TypeInt::ZERO) {
1356     return t1;
1357   }
1358 
1359   // Either input is BOTTOM ==> the result is BOTTOM
1360   if (t1 == Type::BOTTOM || t2 == Type::BOTTOM) {
1361     return TypeInteger::bottom(bt);
1362   }
1363 
1364   const TypeInteger* r1 = t1->isa_integer(bt);
1365   const TypeInt* r2 = t2->isa_int();
1366 
1367   // If the shift is a constant, just shift the bounds of the type.
1368   // For example, if the shift is 31/63, we just propagate sign bits.
1369   if (!r1->is_con() && r2->is_con()) {
1370     uint shift = r2->get_con();
1371     shift &= bits_per_java_integer(bt) - 1;  // semantics of Java shifts
1372     // Shift by a multiple of 32/64 does nothing:
1373     if (shift == 0) {
1374       return t1;
1375     }
1376     // Calculate reasonably aggressive bounds for the result.
1377     // This is necessary if we are to correctly type things
1378     // like (x<<24>>24) == ((byte)x).
1379     jlong lo = r1->lo_as_long() >> (jint)shift;
1380     jlong hi = r1->hi_as_long() >> (jint)shift;
1381     assert(lo <= hi, "must have valid bounds");
1382 #ifdef ASSERT
1383    if (bt == T_INT) {
1384      jint lo_verify = checked_cast<jint>(r1->lo_as_long()) >> (jint)shift;
1385      jint hi_verify = checked_cast<jint>(r1->hi_as_long()) >> (jint)shift;
1386      assert((checked_cast<jint>(lo) == lo_verify) && (checked_cast<jint>(hi) == hi_verify), "inconsistent");
1387    }
1388 #endif
1389     const TypeInteger* ti = TypeInteger::make(lo, hi, MAX2(r1->_widen,r2->_widen), bt);
1390 #ifdef ASSERT
1391     // Make sure we get the sign-capture idiom correct.
1392     if (shift == bits_per_java_integer(bt) - 1) {
1393       if (r1->lo_as_long() >= 0) {
1394         assert(ti == TypeInteger::zero(bt),    ">>31/63 of + is  0");
1395       }
1396       if (r1->hi_as_long() <  0) {
1397         assert(ti == TypeInteger::minus_1(bt), ">>31/63 of - is -1");
1398       }
1399     }
1400 #endif
1401     return ti;
1402   }
1403 
1404   if (!r1->is_con() || !r2->is_con()) {
1405     // If the left input is non-negative the result must also be non-negative, regardless of what the right input is.
1406     if (r1->lo_as_long() >= 0) {
1407       return TypeInteger::make(0, r1->hi_as_long(), MAX2(r1->_widen, r2->_widen), bt);
1408     }
1409 
1410     // Conversely, if the left input is negative then the result must be negative.
1411     if (r1->hi_as_long() <= -1) {
1412       return TypeInteger::make(r1->lo_as_long(), -1, MAX2(r1->_widen, r2->_widen), bt);
1413     }
1414 
1415     return TypeInteger::bottom(bt);
1416   }
1417 
1418   // Signed shift right
1419   return TypeInteger::make(r1->get_con_as_long(bt) >> (r2->get_con() & (bits_per_java_integer(bt) - 1)), bt);
1420 }
1421 
1422 const Type* RShiftINode::Value(PhaseGVN* phase) const {
1423   return ValueIL(phase, T_INT);
1424 }
1425 
1426 //=============================================================================
1427 //------------------------------Identity---------------------------------------
1428 Node* RShiftLNode::Identity(PhaseGVN* phase) {
1429   return IdentityIL(phase, T_LONG);
1430 }
1431 
1432 Node* RShiftLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
1433   Node* progress = IdealIL(phase, can_reshape, T_LONG);
1434   if (progress == NodeSentinel) {
1435     return nullptr;
1436   }
1437   return progress;
1438 }
1439 
1440 const Type* RShiftLNode::Value(PhaseGVN* phase) const {
1441   return ValueIL(phase, T_LONG);
1442 }
1443 
1444 URShiftNode* URShiftNode::make(Node* in1, Node* in2, BasicType bt) {
1445   switch (bt) {
1446     case T_INT:
1447       return new URShiftINode(in1, in2);
1448     case T_LONG:
1449       return new URShiftLNode(in1, in2);
1450     default:
1451       fatal("Not implemented for %s", type2name(bt));
1452   }
1453   return nullptr;
1454 }
1455 
1456 //=============================================================================
1457 //------------------------------Identity---------------------------------------
1458 Node* URShiftINode::Identity(PhaseGVN* phase) {
1459   uint count;
1460   if (mask_shift_amount(phase, this, BitsPerJavaInteger, count) && count == 0) {
1461     // Shift by a multiple of 32 does nothing
1462     return in(1);
1463   }
1464 
1465   // Check for "((x << LogBytesPerWord) + (wordSize-1)) >> LogBytesPerWord" which is just "x".
1466   // Happens during new-array length computation.
1467   // Safe if 'x' is in the range [0..(max_int>>LogBytesPerWord)]
1468   Node *add = in(1);
1469   if (add->Opcode() == Op_AddI) {
1470     const TypeInt *t2 = phase->type(add->in(2))->isa_int();
1471     if (t2 && t2->is_con(wordSize - 1) &&
1472         add->in(1)->Opcode() == Op_LShiftI) {
1473       // Check that shift_counts are LogBytesPerWord.
1474       Node          *lshift_count   = add->in(1)->in(2);
1475       const TypeInt *t_lshift_count = phase->type(lshift_count)->isa_int();
1476       if (t_lshift_count && t_lshift_count->is_con(LogBytesPerWord) &&
1477           t_lshift_count == phase->type(in(2))) {
1478         Node          *x   = add->in(1)->in(1);
1479         const TypeInt *t_x = phase->type(x)->isa_int();
1480         if (t_x != nullptr && 0 <= t_x->_lo && t_x->_hi <= (max_jint>>LogBytesPerWord)) {
1481           return x;
1482         }
1483       }
1484     }
1485   }
1486 
1487   return (phase->type(in(2))->higher_equal(TypeInt::ZERO)) ? in(1) : this;
1488 }
1489 
1490 //------------------------------Ideal------------------------------------------
1491 Node* URShiftINode::Ideal(PhaseGVN* phase, bool can_reshape) {
1492   uint con;
1493   Node* progress = mask_and_replace_shift_amount(phase, this, BitsPerJavaInteger, con);
1494   if (con == 0) {
1495     return nullptr;
1496   }
1497 
1498   // We'll be wanting the right-shift amount as a mask of that many bits
1499   const int mask = right_n_bits(BitsPerJavaInteger - con);
1500 
1501   int in1_op = in(1)->Opcode();
1502 
1503   // Check for ((x>>>a)>>>b) and replace with (x>>>(a+b)) when a+b < 32
1504   if( in1_op == Op_URShiftI ) {
1505     const TypeInt *t12 = phase->type( in(1)->in(2) )->isa_int();
1506     if( t12 && t12->is_con() ) { // Right input is a constant
1507       assert( in(1) != in(1)->in(1), "dead loop in URShiftINode::Ideal" );
1508       const int con2 = t12->get_con() & 31; // Shift count is always masked
1509       const int con3 = con+con2;
1510       if( con3 < 32 )           // Only merge shifts if total is < 32
1511         return new URShiftINode( in(1)->in(1), phase->intcon(con3) );
1512     }
1513   }
1514 
1515   // Check for ((x << z) + Y) >>> z.  Replace with x + con>>>z
1516   // The idiom for rounding to a power of 2 is "(Q+(2^z-1)) >>> z".
1517   // If Q is "X << z" the rounding is useless.  Look for patterns like
1518   // ((X<<Z) + Y) >>> Z  and replace with (X + Y>>>Z) & Z-mask.
1519   Node *add = in(1);
1520   if (in1_op == Op_AddI) {
1521     Node *lshl = add->in(1);
1522     Node *y    = add->in(2);
1523     if (lshl->Opcode() != Op_LShiftI) {
1524       lshl = add->in(2);
1525       y    = add->in(1);
1526     }
1527     // Compare shift counts by value, not by node pointer, to also match a not-yet-normalized
1528     // negative constant (e.g. -1 vs 31)
1529     uint lshl_con;
1530     if (lshl->Opcode() == Op_LShiftI &&
1531         mask_shift_amount(phase, lshl, BitsPerJavaInteger, lshl_con) &&
1532         lshl_con == con) {
1533       Node *y_z = phase->transform(new URShiftINode(y, in(2)));
1534       Node *sum = phase->transform(new AddINode(lshl->in(1), y_z));
1535       return new AndINode(sum, phase->intcon(mask));
1536     }
1537   }
1538 
1539   // Check for (x & mask) >>> z.  Replace with (x >>> z) & (mask >>> z)
1540   // This shortens the mask.  Also, if we are extracting a high byte and
1541   // storing it to a buffer, the mask will be removed completely.
1542   Node *andi = in(1);
1543   if( in1_op == Op_AndI ) {
1544     const TypeInt *t3 = phase->type( andi->in(2) )->isa_int();
1545     if( t3 && t3->is_con() ) { // Right input is a constant
1546       jint mask2 = t3->get_con();
1547       mask2 >>= con;  // *signed* shift downward (high-order zeroes do not help)
1548       Node *newshr = phase->transform( new URShiftINode(andi->in(1), in(2)) );
1549       return new AndINode(newshr, phase->intcon(mask2));
1550       // The negative values are easier to materialize than positive ones.
1551       // A typical case from address arithmetic is ((x & ~15) >> 4).
1552       // It's better to change that to ((x >> 4) & ~0) versus
1553       // ((x >> 4) & 0x0FFFFFFF).  The difference is greatest in LP64.
1554     }
1555   }
1556 
1557   // Check for "(X << z ) >>> z" which simply zero-extends
1558   Node *shl = in(1);
1559   // Compare shift counts by value, not by node pointer, to also match a not-yet-normalized
1560   // negative constant (e.g. -1 vs 31)
1561   uint shl_con;
1562   if (in1_op == Op_LShiftI &&
1563       mask_shift_amount(phase, shl, BitsPerJavaInteger, shl_con) &&
1564       shl_con == con)
1565     return new AndINode(shl->in(1), phase->intcon(mask));
1566 
1567   // Check for (x >> n) >>> 31. Replace with (x >>> 31)
1568   const TypeInt* t2 = phase->type(in(2))->isa_int();
1569   Node *shr = in(1);
1570   if ( in1_op == Op_RShiftI ) {
1571     Node *in11 = shr->in(1);
1572     Node *in12 = shr->in(2);
1573     const TypeInt *t11 = phase->type(in11)->isa_int();
1574     const TypeInt *t12 = phase->type(in12)->isa_int();
1575     if ( t11 && t2 && t2->is_con(31) && t12 && t12->is_con() ) {
1576       return new URShiftINode(in11, phase->intcon(31));
1577     }
1578   }
1579 
1580   return progress;
1581 }
1582 
1583 //------------------------------Value------------------------------------------
1584 // A URShiftINode shifts its input2 right by input1 amount.
1585 const Type* URShiftINode::Value(PhaseGVN* phase) const {
1586   // (This is a near clone of RShiftINode::Value.)
1587   const Type *t1 = phase->type( in(1) );
1588   const Type *t2 = phase->type( in(2) );
1589   // Either input is TOP ==> the result is TOP
1590   if( t1 == Type::TOP ) return Type::TOP;
1591   if( t2 == Type::TOP ) return Type::TOP;
1592 
1593   // Left input is ZERO ==> the result is ZERO.
1594   if( t1 == TypeInt::ZERO ) return TypeInt::ZERO;
1595   // Shift by zero does nothing
1596   if( t2 == TypeInt::ZERO ) return t1;
1597 
1598   // Either input is BOTTOM ==> the result is BOTTOM
1599   if (t1 == Type::BOTTOM || t2 == Type::BOTTOM)
1600     return TypeInt::INT;
1601 
1602   if (t2 == TypeInt::INT)
1603     return TypeInt::INT;
1604 
1605   const TypeInt *r1 = t1->is_int();     // Handy access
1606   const TypeInt *r2 = t2->is_int();     // Handy access
1607 
1608   if (r2->is_con()) {
1609     uint shift = r2->get_con();
1610     shift &= BitsPerJavaInteger-1;  // semantics of Java shifts
1611     // Shift by a multiple of 32 does nothing:
1612     if (shift == 0)  return t1;
1613     // Calculate reasonably aggressive bounds for the result.
1614     jint lo = (juint)r1->_lo >> (juint)shift;
1615     jint hi = (juint)r1->_hi >> (juint)shift;
1616     if (r1->_hi >= 0 && r1->_lo < 0) {
1617       // If the type has both negative and positive values,
1618       // there are two separate sub-domains to worry about:
1619       // The positive half and the negative half.
1620       jint neg_lo = lo;
1621       jint neg_hi = (juint)-1 >> (juint)shift;
1622       jint pos_lo = (juint) 0 >> (juint)shift;
1623       jint pos_hi = hi;
1624       lo = MIN2(neg_lo, pos_lo);  // == 0
1625       hi = MAX2(neg_hi, pos_hi);  // == -1 >>> shift;
1626     }
1627     assert(lo <= hi, "must have valid bounds");
1628     const TypeInt* ti = TypeInt::make(lo, hi, MAX2(r1->_widen,r2->_widen));
1629     #ifdef ASSERT
1630     // Make sure we get the sign-capture idiom correct.
1631     if (shift == BitsPerJavaInteger-1) {
1632       if (r1->_lo >= 0) assert(ti == TypeInt::ZERO, ">>>31 of + is 0");
1633       if (r1->_hi < 0)  assert(ti == TypeInt::ONE,  ">>>31 of - is +1");
1634     }
1635     #endif
1636     return ti;
1637   }
1638 
1639   //
1640   // Do not support shifted oops in info for GC
1641   //
1642   // else if( t1->base() == Type::InstPtr ) {
1643   //
1644   //   const TypeInstPtr *o = t1->is_instptr();
1645   //   if( t1->singleton() )
1646   //     return TypeInt::make( ((uint32_t)o->const_oop() + o->_offset) >> shift );
1647   // }
1648   // else if( t1->base() == Type::KlassPtr ) {
1649   //   const TypeKlassPtr *o = t1->is_klassptr();
1650   //   if( t1->singleton() )
1651   //     return TypeInt::make( ((uint32_t)o->const_oop() + o->_offset) >> shift );
1652   // }
1653 
1654   return TypeInt::INT;
1655 }
1656 
1657 //=============================================================================
1658 //------------------------------Identity---------------------------------------
1659 Node* URShiftLNode::Identity(PhaseGVN* phase) {
1660   uint count;
1661   if (mask_shift_amount(phase, this, BitsPerJavaLong, count) && count == 0) {
1662     // Shift by a multiple of 64 does nothing
1663     return in(1);
1664   }
1665   return this;
1666 }
1667 
1668 //------------------------------Ideal------------------------------------------
1669 Node* URShiftLNode::Ideal(PhaseGVN* phase, bool can_reshape) {
1670   uint con;
1671   Node* progress = mask_and_replace_shift_amount(phase, this, BitsPerJavaLong, con);
1672   if (con == 0) {
1673     return nullptr;
1674   }
1675 
1676   // We'll be wanting the right-shift amount as a mask of that many bits
1677   const jlong mask = jlong(max_julong >> con);
1678 
1679   // Check for ((x << z) + Y) >>> z.  Replace with x + con>>>z
1680   // The idiom for rounding to a power of 2 is "(Q+(2^z-1)) >>> z".
1681   // If Q is "X << z" the rounding is useless.  Look for patterns like
1682   // ((X<<Z) + Y) >>> Z  and replace with (X + Y>>>Z) & Z-mask.
1683   Node *add = in(1);
1684   const TypeInt *t2 = phase->type(in(2))->isa_int();
1685   if (add->Opcode() == Op_AddL) {
1686     Node *lshl = add->in(1);
1687     Node *y    = add->in(2);
1688     if (lshl->Opcode() != Op_LShiftL) {
1689       lshl = add->in(2);
1690       y    = add->in(1);
1691     }
1692     // Compare shift counts by value, not by node pointer, to also match a not-yet-normalized
1693     // negative constant (e.g. -1 vs 63)
1694     uint lshl_con;
1695     if (lshl->Opcode() == Op_LShiftL &&
1696         mask_shift_amount(phase, lshl, BitsPerJavaLong, lshl_con) &&
1697         lshl_con == con) {
1698       Node* y_z = phase->transform(new URShiftLNode(y, in(2)));
1699       Node* sum = phase->transform(new AddLNode(lshl->in(1), y_z));
1700       return new AndLNode(sum, phase->longcon(mask));
1701     }
1702   }
1703 
1704   // Check for (x & mask) >>> z.  Replace with (x >>> z) & (mask >>> z)
1705   // This shortens the mask.  Also, if we are extracting a high byte and
1706   // storing it to a buffer, the mask will be removed completely.
1707   Node *andi = in(1);
1708   if( andi->Opcode() == Op_AndL ) {
1709     const TypeLong *t3 = phase->type( andi->in(2) )->isa_long();
1710     if( t3 && t3->is_con() ) { // Right input is a constant
1711       jlong mask2 = t3->get_con();
1712       mask2 >>= con;  // *signed* shift downward (high-order zeroes do not help)
1713       Node *newshr = phase->transform( new URShiftLNode(andi->in(1), in(2)) );
1714       return new AndLNode(newshr, phase->longcon(mask2));
1715     }
1716   }
1717 
1718   // Check for "(X << z ) >>> z" which simply zero-extends
1719   Node *shl = in(1);
1720   // Compare shift counts by value, not by node pointer, to also match a not-yet-normalized
1721   // negative constant (e.g. -1 vs 63)
1722   uint shl_con;
1723   if (shl->Opcode() == Op_LShiftL &&
1724       mask_shift_amount(phase, shl, BitsPerJavaLong, shl_con) &&
1725       shl_con == con) {
1726     return new AndLNode(shl->in(1), phase->longcon(mask));
1727   }
1728 
1729   // Check for (x >> n) >>> 63. Replace with (x >>> 63)
1730   Node *shr = in(1);
1731   if ( shr->Opcode() == Op_RShiftL ) {
1732     Node *in11 = shr->in(1);
1733     Node *in12 = shr->in(2);
1734     const TypeLong *t11 = phase->type(in11)->isa_long();
1735     const TypeInt *t12 = phase->type(in12)->isa_int();
1736     if ( t11 && t2 && t2->is_con(63) && t12 && t12->is_con() ) {
1737       return new URShiftLNode(in11, phase->intcon(63));
1738     }
1739   }
1740 
1741   return progress;
1742 }
1743 
1744 //------------------------------Value------------------------------------------
1745 // A URShiftINode shifts its input2 right by input1 amount.
1746 const Type* URShiftLNode::Value(PhaseGVN* phase) const {
1747   // (This is a near clone of RShiftLNode::Value.)
1748   const Type *t1 = phase->type( in(1) );
1749   const Type *t2 = phase->type( in(2) );
1750   // Either input is TOP ==> the result is TOP
1751   if( t1 == Type::TOP ) return Type::TOP;
1752   if( t2 == Type::TOP ) return Type::TOP;
1753 
1754   // Left input is ZERO ==> the result is ZERO.
1755   if( t1 == TypeLong::ZERO ) return TypeLong::ZERO;
1756   // Shift by zero does nothing
1757   if( t2 == TypeInt::ZERO ) return t1;
1758 
1759   // Either input is BOTTOM ==> the result is BOTTOM
1760   if (t1 == Type::BOTTOM || t2 == Type::BOTTOM)
1761     return TypeLong::LONG;
1762 
1763   if (t2 == TypeInt::INT)
1764     return TypeLong::LONG;
1765 
1766   const TypeLong *r1 = t1->is_long(); // Handy access
1767   const TypeInt  *r2 = t2->is_int (); // Handy access
1768 
1769   if (r2->is_con()) {
1770     uint shift = r2->get_con();
1771     shift &= BitsPerJavaLong - 1;  // semantics of Java shifts
1772     // Shift by a multiple of 64 does nothing:
1773     if (shift == 0)  return t1;
1774     // Calculate reasonably aggressive bounds for the result.
1775     jlong lo = (julong)r1->_lo >> (juint)shift;
1776     jlong hi = (julong)r1->_hi >> (juint)shift;
1777     if (r1->_hi >= 0 && r1->_lo < 0) {
1778       // If the type has both negative and positive values,
1779       // there are two separate sub-domains to worry about:
1780       // The positive half and the negative half.
1781       jlong neg_lo = lo;
1782       jlong neg_hi = (julong)-1 >> (juint)shift;
1783       jlong pos_lo = (julong) 0 >> (juint)shift;
1784       jlong pos_hi = hi;
1785       //lo = MIN2(neg_lo, pos_lo);  // == 0
1786       lo = neg_lo < pos_lo ? neg_lo : pos_lo;
1787       //hi = MAX2(neg_hi, pos_hi);  // == -1 >>> shift;
1788       hi = neg_hi > pos_hi ? neg_hi : pos_hi;
1789     }
1790     assert(lo <= hi, "must have valid bounds");
1791     const TypeLong* tl = TypeLong::make(lo, hi, MAX2(r1->_widen,r2->_widen));
1792     #ifdef ASSERT
1793     // Make sure we get the sign-capture idiom correct.
1794     if (shift == BitsPerJavaLong - 1) {
1795       if (r1->_lo >= 0) assert(tl == TypeLong::ZERO, ">>>63 of + is 0");
1796       if (r1->_hi < 0)  assert(tl == TypeLong::ONE,  ">>>63 of - is +1");
1797     }
1798     #endif
1799     return tl;
1800   }
1801 
1802   return TypeLong::LONG;                // Give up
1803 }
1804 
1805 //=============================================================================
1806 //------------------------------Ideal------------------------------------------
1807 Node* FmaNode::Ideal(PhaseGVN* phase, bool can_reshape) {
1808   // We canonicalize the node by converting "(-a)*b+c" into "b*(-a)+c"
1809   // This reduces the number of rules in the matcher, as we only need to check
1810   // for negations on the second argument, and not the symmetric case where
1811   // the first argument is negated.
1812   if (in(1)->is_Neg() && !in(2)->is_Neg()) {
1813     swap_edges(1, 2);
1814     return this;
1815   }
1816   return nullptr;
1817 }
1818 
1819 //=============================================================================
1820 //------------------------------Value------------------------------------------
1821 const Type* FmaDNode::Value(PhaseGVN* phase) const {
1822   const Type *t1 = phase->type(in(1));
1823   if (t1 == Type::TOP) return Type::TOP;
1824   if (t1->base() != Type::DoubleCon) return Type::DOUBLE;
1825   const Type *t2 = phase->type(in(2));
1826   if (t2 == Type::TOP) return Type::TOP;
1827   if (t2->base() != Type::DoubleCon) return Type::DOUBLE;
1828   const Type *t3 = phase->type(in(3));
1829   if (t3 == Type::TOP) return Type::TOP;
1830   if (t3->base() != Type::DoubleCon) return Type::DOUBLE;
1831 #ifndef __STDC_IEC_559__
1832   return Type::DOUBLE;
1833 #else
1834   double d1 = t1->getd();
1835   double d2 = t2->getd();
1836   double d3 = t3->getd();
1837   return TypeD::make(fma(d1, d2, d3));
1838 #endif
1839 }
1840 
1841 //=============================================================================
1842 //------------------------------Value------------------------------------------
1843 const Type* FmaFNode::Value(PhaseGVN* phase) const {
1844   const Type *t1 = phase->type(in(1));
1845   if (t1 == Type::TOP) return Type::TOP;
1846   if (t1->base() != Type::FloatCon) return Type::FLOAT;
1847   const Type *t2 = phase->type(in(2));
1848   if (t2 == Type::TOP) return Type::TOP;
1849   if (t2->base() != Type::FloatCon) return Type::FLOAT;
1850   const Type *t3 = phase->type(in(3));
1851   if (t3 == Type::TOP) return Type::TOP;
1852   if (t3->base() != Type::FloatCon) return Type::FLOAT;
1853 #ifndef __STDC_IEC_559__
1854   return Type::FLOAT;
1855 #else
1856   float f1 = t1->getf();
1857   float f2 = t2->getf();
1858   float f3 = t3->getf();
1859   return TypeF::make(fma(f1, f2, f3));
1860 #endif
1861 }
1862 
1863 //=============================================================================
1864 //------------------------------Value------------------------------------------
1865 const Type* FmaHFNode::Value(PhaseGVN* phase) const {
1866   const Type* t1 = phase->type(in(1));
1867   if (t1 == Type::TOP) { return Type::TOP; }
1868   if (t1->base() != Type::HalfFloatCon) { return Type::HALF_FLOAT; }
1869   const Type* t2 = phase->type(in(2));
1870   if (t2 == Type::TOP) { return Type::TOP; }
1871   if (t2->base() != Type::HalfFloatCon) { return Type::HALF_FLOAT; }
1872   const Type* t3 = phase->type(in(3));
1873   if (t3 == Type::TOP) { return Type::TOP; }
1874   if (t3->base() != Type::HalfFloatCon) { return Type::HALF_FLOAT; }
1875 #ifndef __STDC_IEC_559__
1876   return Type::HALF_FLOAT;
1877 #else
1878   float f1 = t1->getf();
1879   float f2 = t2->getf();
1880   float f3 = t3->getf();
1881   return TypeH::make(fma(f1, f2, f3));
1882 #endif
1883 }
1884 
1885 //=============================================================================
1886 //------------------------------hash-------------------------------------------
1887 // Hash function for MulAddS2INode.  Operation is commutative with commutative pairs.
1888 // The hash function must return the same value when edge swapping is performed.
1889 uint MulAddS2INode::hash() const {
1890   return (uintptr_t)in(1) + (uintptr_t)in(2) + (uintptr_t)in(3) + (uintptr_t)in(4) + Opcode();
1891 }
1892 
1893 //------------------------------Rotate Operations ------------------------------
1894 
1895 Node* RotateLeftNode::Identity(PhaseGVN* phase) {
1896   const Type* t1 = phase->type(in(1));
1897   if (t1 == Type::TOP) {
1898     return this;
1899   }
1900   uint count;
1901   assert(t1->isa_int() || t1->isa_long(), "Unexpected type");
1902   uint num_bits = t1->isa_int() ? BitsPerJavaInteger : BitsPerJavaLong;
1903   if (mask_shift_amount(phase, this, num_bits, count) && count == 0) {
1904     // Rotate by a multiple of 32/64 does nothing
1905     return in(1);
1906   }
1907   return this;
1908 }
1909 
1910 const Type* RotateLeftNode::Value(PhaseGVN* phase) const {
1911   const Type* t1 = phase->type(in(1));
1912   const Type* t2 = phase->type(in(2));
1913   // Either input is TOP ==> the result is TOP
1914   if (t1 == Type::TOP || t2 == Type::TOP) {
1915     return Type::TOP;
1916   }
1917 
1918   if (t1->isa_int()) {
1919     const TypeInt* r1 = t1->is_int();
1920     const TypeInt* r2 = t2->is_int();
1921 
1922     // Left input is ZERO ==> the result is ZERO.
1923     if (r1 == TypeInt::ZERO) {
1924       return TypeInt::ZERO;
1925     }
1926     // Rotate by zero does nothing
1927     if (r2 == TypeInt::ZERO) {
1928       return r1;
1929     }
1930     if (r1->is_con() && r2->is_con()) {
1931       juint r1_con = (juint)r1->get_con();
1932       juint shift = (juint)(r2->get_con()) & (juint)(BitsPerJavaInteger - 1); // semantics of Java shifts
1933       return TypeInt::make((r1_con << shift) | (r1_con >> (32 - shift)));
1934     }
1935     return TypeInt::INT;
1936   } else {
1937     assert(t1->isa_long(), "Type must be a long");
1938     const TypeLong* r1 = t1->is_long();
1939     const TypeInt*  r2 = t2->is_int();
1940 
1941     // Left input is ZERO ==> the result is ZERO.
1942     if (r1 == TypeLong::ZERO) {
1943       return TypeLong::ZERO;
1944     }
1945     // Rotate by zero does nothing
1946     if (r2 == TypeInt::ZERO) {
1947       return r1;
1948     }
1949     if (r1->is_con() && r2->is_con()) {
1950       julong r1_con = (julong)r1->get_con();
1951       julong shift = (julong)(r2->get_con()) & (julong)(BitsPerJavaLong - 1); // semantics of Java shifts
1952       return TypeLong::make((r1_con << shift) | (r1_con >> (64 - shift)));
1953     }
1954     return TypeLong::LONG;
1955   }
1956 }
1957 
1958 Node* RotateLeftNode::Ideal(PhaseGVN *phase, bool can_reshape) {
1959   const Type* t1 = phase->type(in(1));
1960   const Type* t2 = phase->type(in(2));
1961   if (t2->isa_int() && t2->is_int()->is_con()) {
1962     if (t1->isa_int()) {
1963       int lshift = t2->is_int()->get_con() & 31;
1964       return new RotateRightNode(in(1), phase->intcon(32 - (lshift & 31)), TypeInt::INT);
1965     } else if (t1 != Type::TOP) {
1966       assert(t1->isa_long(), "Type must be a long");
1967       int lshift = t2->is_int()->get_con() & 63;
1968       return new RotateRightNode(in(1), phase->intcon(64 - (lshift & 63)), TypeLong::LONG);
1969     }
1970   }
1971   return nullptr;
1972 }
1973 
1974 Node* RotateRightNode::Identity(PhaseGVN* phase) {
1975   const Type* t1 = phase->type(in(1));
1976   if (t1 == Type::TOP) {
1977     return this;
1978   }
1979   uint count;
1980   assert(t1->isa_int() || t1->isa_long(), "Unexpected type");
1981   uint num_bits = t1->isa_int() ? BitsPerJavaInteger : BitsPerJavaLong;
1982   if (mask_shift_amount(phase, this, num_bits, count) && count == 0) {
1983     // Rotate by a multiple of 32/64 does nothing
1984     return in(1);
1985   }
1986   return this;
1987 }
1988 
1989 const Type* RotateRightNode::Value(PhaseGVN* phase) const {
1990   const Type* t1 = phase->type(in(1));
1991   const Type* t2 = phase->type(in(2));
1992   // Either input is TOP ==> the result is TOP
1993   if (t1 == Type::TOP || t2 == Type::TOP) {
1994     return Type::TOP;
1995   }
1996 
1997   if (t1->isa_int()) {
1998     const TypeInt* r1 = t1->is_int();
1999     const TypeInt* r2 = t2->is_int();
2000 
2001     // Left input is ZERO ==> the result is ZERO.
2002     if (r1 == TypeInt::ZERO) {
2003       return TypeInt::ZERO;
2004     }
2005     // Rotate by zero does nothing
2006     if (r2 == TypeInt::ZERO) {
2007       return r1;
2008     }
2009     if (r1->is_con() && r2->is_con()) {
2010       juint r1_con = (juint)r1->get_con();
2011       juint shift = (juint)(r2->get_con()) & (juint)(BitsPerJavaInteger - 1); // semantics of Java shifts
2012       return TypeInt::make((r1_con >> shift) | (r1_con << (32 - shift)));
2013     }
2014     return TypeInt::INT;
2015   } else {
2016     assert(t1->isa_long(), "Type must be a long");
2017     const TypeLong* r1 = t1->is_long();
2018     const TypeInt*  r2 = t2->is_int();
2019     // Left input is ZERO ==> the result is ZERO.
2020     if (r1 == TypeLong::ZERO) {
2021       return TypeLong::ZERO;
2022     }
2023     // Rotate by zero does nothing
2024     if (r2 == TypeInt::ZERO) {
2025       return r1;
2026     }
2027     if (r1->is_con() && r2->is_con()) {
2028       julong r1_con = (julong)r1->get_con();
2029       julong shift = (julong)(r2->get_con()) & (julong)(BitsPerJavaLong - 1); // semantics of Java shifts
2030       return TypeLong::make((r1_con >> shift) | (r1_con << (64 - shift)));
2031     }
2032     return TypeLong::LONG;
2033   }
2034 }
2035 
2036 //------------------------------ Sum & Mask ------------------------------
2037 
2038 // Returns a lower bound on the number of trailing zeros in expr.
2039 static jint AndIL_min_trailing_zeros(const PhaseGVN* phase, const Node* expr, BasicType bt) {
2040   const TypeInteger* type = phase->type(expr)->isa_integer(bt);
2041   if (type == nullptr) {
2042     return 0;
2043   }
2044 
2045   expr = expr->uncast();
2046   type = phase->type(expr)->isa_integer(bt);
2047   if (type == nullptr) {
2048     return 0;
2049   }
2050 
2051   if (type->is_con()) {
2052     jlong con = type->get_con_as_long(bt);
2053     return con == 0L ? (type2aelembytes(bt) * BitsPerByte) : count_trailing_zeros(con);
2054   }
2055 
2056   if (expr->Opcode() == Op_ConvI2L) {
2057     expr = expr->in(1)->uncast();
2058     bt = T_INT;
2059     type = phase->type(expr)->isa_int();
2060   }
2061 
2062   // Pattern: expr = (x << shift)
2063   if (expr->Opcode() == Op_LShift(bt)) {
2064     const TypeInt* shift_t = phase->type(expr->in(2))->isa_int();
2065     if (shift_t == nullptr || !shift_t->is_con()) {
2066       return 0;
2067     }
2068     // We need to truncate the shift, as it may not have been canonicalized yet.
2069     // T_INT:  0..31 -> shift_mask = 4 * 8 - 1 = 31
2070     // T_LONG: 0..63 -> shift_mask = 8 * 8 - 1 = 63
2071     // (JLS: "Shift Operators")
2072     jint shift_mask = type2aelembytes(bt) * BitsPerByte - 1;
2073     return shift_t->get_con() & shift_mask;
2074   }
2075 
2076   return 0;
2077 }
2078 
2079 // Checks whether expr is neutral additive element (zero) under mask,
2080 // i.e. whether an expression of the form:
2081 //   (AndX (AddX (expr addend) mask)
2082 //   (expr + addend) & mask
2083 // is equivalent to
2084 //   (AndX addend mask)
2085 //   addend & mask
2086 // for any addend.
2087 // (The X in AndX must be I or L, depending on bt).
2088 //
2089 // We check for the sufficient condition when the lowest set bit in expr is higher than
2090 // the highest set bit in mask, i.e.:
2091 // expr: eeeeee0000000000000
2092 // mask: 000000mmmmmmmmmmmmm
2093 //             <--w bits--->
2094 // We do not test for other cases.
2095 //
2096 // Correctness:
2097 //   Given "expr" with at least "w" trailing zeros,
2098 //   let "mod = 2^w", "suffix_mask = mod - 1"
2099 //
2100 //   Since "mask" only has bits set where "suffix_mask" does, we have:
2101 //     mask = suffix_mask & mask     (SUFFIX_MASK)
2102 //
2103 //   And since expr only has bits set above w, and suffix_mask only below:
2104 //     expr & suffix_mask == 0     (NO_BIT_OVERLAP)
2105 //
2106 //   From unsigned modular arithmetic (with unsigned modulo %), and since mod is
2107 //   a power of 2, and we are computing in a ring of powers of 2, we know that
2108 //     (x + y) % mod         = (x % mod         + y) % mod
2109 //     (x + y) & suffix_mask = (x & suffix_mask + y) & suffix_mask       (MOD_ARITH)
2110 //
2111 //   We can now prove the equality:
2112 //     (expr               + addend)               & mask
2113 //   = (expr               + addend) & suffix_mask & mask    (SUFFIX_MASK)
2114 //   = (expr & suffix_mask + addend) & suffix_mask & mask    (MOD_ARITH)
2115 //   = (0                  + addend) & suffix_mask & mask    (NO_BIT_OVERLAP)
2116 //   =                       addend                & mask    (SUFFIX_MASK)
2117 //
2118 // Hence, an expr with at least w trailing zeros is a neutral additive element under any mask with bit width w.
2119 static bool AndIL_is_zero_element_under_mask(const PhaseGVN* phase, const Node* expr, const Node* mask, BasicType bt) {
2120   // When the mask is negative, it has the most significant bit set.
2121   const TypeInteger* mask_t = phase->type(mask)->isa_integer(bt);
2122   if (mask_t == nullptr || mask_t->lo_as_long() < 0) {
2123     return false;
2124   }
2125 
2126   // When the mask is constant zero, we defer to MulNode::Value to eliminate the entire AndX operation.
2127   if (mask_t->hi_as_long() == 0) {
2128     assert(mask_t->lo_as_long() == 0, "checked earlier");
2129     return false;
2130   }
2131 
2132   jint mask_bit_width = BitsPerLong - count_leading_zeros(mask_t->hi_as_long());
2133   jint expr_trailing_zeros = AndIL_min_trailing_zeros(phase, expr, bt);
2134   return expr_trailing_zeros >= mask_bit_width;
2135 }
2136 
2137 // Reduces the pattern:
2138 //   (AndX (AddX add1 add2) mask)
2139 // to
2140 //   (AndX add1 mask), if add2 is neutral wrt mask (see above), and vice versa.
2141 Node* MulNode::AndIL_sum_and_mask(PhaseGVN* phase, BasicType bt) {
2142   Node* add = in(1);
2143   Node* mask = in(2);
2144   int addidx = 0;
2145   if (add->Opcode() == Op_Add(bt)) {
2146     addidx = 1;
2147   } else if (mask->Opcode() == Op_Add(bt)) {
2148     mask = add;
2149     addidx = 2;
2150     add = in(addidx);
2151   }
2152   if (addidx > 0) {
2153     Node* add1 = add->in(1);
2154     Node* add2 = add->in(2);
2155     if (AndIL_is_zero_element_under_mask(phase, add1, mask, bt)) {
2156       set_req_X(addidx, add2, phase);
2157       return this;
2158     } else if (AndIL_is_zero_element_under_mask(phase, add2, mask, bt)) {
2159       set_req_X(addidx, add1, phase);
2160       return this;
2161     }
2162   }
2163   return nullptr;
2164 }