lib/CodeGen/SelectionDAG/TargetLowering.cpp

//===-- TargetLowering.cpp - Implement the TargetLowering class -----------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file was developed by the LLVM research group and is distributed under
// the University of Illinois Open Source License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// This implements the TargetLowering class.
//
//===----------------------------------------------------------------------===//

#include "llvm/Target/TargetLowering.h"
#include "llvm/Target/TargetData.h"
#include "llvm/Target/TargetMachine.h"
#include "llvm/Target/MRegisterInfo.h"
#include "llvm/DerivedTypes.h"
#include "llvm/CodeGen/SelectionDAG.h"
#include "llvm/ADT/StringExtras.h"
#include "llvm/Support/MathExtras.h"
using namespace llvm;

/// InitLibcallNames - Set default libcall names.
///
static void InitLibcallNames(const char **Names) {
  Names[RTLIB::SHL_I32] = "__ashlsi3";
  Names[RTLIB::SHL_I64] = "__ashldi3";
  Names[RTLIB::SRL_I32] = "__lshrsi3";
  Names[RTLIB::SRL_I64] = "__lshrdi3";
  Names[RTLIB::SRA_I32] = "__ashrsi3";
  Names[RTLIB::SRA_I64] = "__ashrdi3";
  Names[RTLIB::MUL_I32] = "__mulsi3";
  Names[RTLIB::MUL_I64] = "__muldi3";
  Names[RTLIB::SDIV_I32] = "__divsi3";
  Names[RTLIB::SDIV_I64] = "__divdi3";
  Names[RTLIB::UDIV_I32] = "__udivsi3";
  Names[RTLIB::UDIV_I64] = "__udivdi3";
  Names[RTLIB::SREM_I32] = "__modsi3";
  Names[RTLIB::SREM_I64] = "__moddi3";
  Names[RTLIB::UREM_I32] = "__umodsi3";
  Names[RTLIB::UREM_I64] = "__umoddi3";
  Names[RTLIB::NEG_I32] = "__negsi2";
  Names[RTLIB::NEG_I64] = "__negdi2";
  Names[RTLIB::ADD_F32] = "__addsf3";
  Names[RTLIB::ADD_F64] = "__adddf3";
  Names[RTLIB::SUB_F32] = "__subsf3";
  Names[RTLIB::SUB_F64] = "__subdf3";
  Names[RTLIB::MUL_F32] = "__mulsf3";
  Names[RTLIB::MUL_F64] = "__muldf3";
  Names[RTLIB::DIV_F32] = "__divsf3";
  Names[RTLIB::DIV_F64] = "__divdf3";
  Names[RTLIB::REM_F32] = "fmodf";
  Names[RTLIB::REM_F64] = "fmod";
  Names[RTLIB::NEG_F32] = "__negsf2";
  Names[RTLIB::NEG_F64] = "__negdf2";
  Names[RTLIB::POWI_F32] = "__powisf2";
  Names[RTLIB::POWI_F64] = "__powidf2";
  Names[RTLIB::SQRT_F32] = "sqrtf";
  Names[RTLIB::SQRT_F64] = "sqrt";
  Names[RTLIB::SIN_F32] = "sinf";
  Names[RTLIB::SIN_F64] = "sin";
  Names[RTLIB::COS_F32] = "cosf";
  Names[RTLIB::COS_F64] = "cos";
  Names[RTLIB::FPEXT_F32_F64] = "__extendsfdf2";
  Names[RTLIB::FPROUND_F64_F32] = "__truncdfsf2";
  Names[RTLIB::FPTOSINT_F32_I32] = "__fixsfsi";
  Names[RTLIB::FPTOSINT_F32_I64] = "__fixsfdi";
  Names[RTLIB::FPTOSINT_F64_I32] = "__fixdfsi";
  Names[RTLIB::FPTOSINT_F64_I64] = "__fixdfdi";
  Names[RTLIB::FPTOUINT_F32_I32] = "__fixunssfsi";
  Names[RTLIB::FPTOUINT_F32_I64] = "__fixunssfdi";
  Names[RTLIB::FPTOUINT_F64_I32] = "__fixunsdfsi";
  Names[RTLIB::FPTOUINT_F64_I64] = "__fixunsdfdi";
  Names[RTLIB::SINTTOFP_I32_F32] = "__floatsisf";
  Names[RTLIB::SINTTOFP_I32_F64] = "__floatsidf";
  Names[RTLIB::SINTTOFP_I64_F32] = "__floatdisf";
  Names[RTLIB::SINTTOFP_I64_F64] = "__floatdidf";
  Names[RTLIB::UINTTOFP_I32_F32] = "__floatunsisf";
  Names[RTLIB::UINTTOFP_I32_F64] = "__floatunsidf";
  Names[RTLIB::UINTTOFP_I64_F32] = "__floatundisf";
  Names[RTLIB::UINTTOFP_I64_F64] = "__floatundidf";
  Names[RTLIB::OEQ_F32] = "__eqsf2";
  Names[RTLIB::OEQ_F64] = "__eqdf2";
  Names[RTLIB::UNE_F32] = "__nesf2";
  Names[RTLIB::UNE_F64] = "__nedf2";
  Names[RTLIB::OGE_F32] = "__gesf2";
  Names[RTLIB::OGE_F64] = "__gedf2";
  Names[RTLIB::OLT_F32] = "__ltsf2";
  Names[RTLIB::OLT_F64] = "__ltdf2";
  Names[RTLIB::OLE_F32] = "__lesf2";
  Names[RTLIB::OLE_F64] = "__ledf2";
  Names[RTLIB::OGT_F32] = "__gtsf2";
  Names[RTLIB::OGT_F64] = "__gtdf2";
  Names[RTLIB::UO_F32] = "__unordsf2";
  Names[RTLIB::UO_F64] = "__unorddf2";
  Names[RTLIB::O_F32] = "__unordsf2";
  Names[RTLIB::O_F64] = "__unorddf2";
}

/// InitCmpLibcallCCs - Set default comparison libcall CC.
///
static void InitCmpLibcallCCs(ISD::CondCode *CCs) {
  memset(CCs, ISD::SETCC_INVALID, sizeof(ISD::CondCode)*RTLIB::UNKNOWN_LIBCALL);
  CCs[RTLIB::OEQ_F32] = ISD::SETEQ;
  CCs[RTLIB::OEQ_F64] = ISD::SETEQ;
  CCs[RTLIB::UNE_F32] = ISD::SETNE;
  CCs[RTLIB::UNE_F64] = ISD::SETNE;
  CCs[RTLIB::OGE_F32] = ISD::SETGE;
  CCs[RTLIB::OGE_F64] = ISD::SETGE;
  CCs[RTLIB::OLT_F32] = ISD::SETLT;
  CCs[RTLIB::OLT_F64] = ISD::SETLT;
  CCs[RTLIB::OLE_F32] = ISD::SETLE;
  CCs[RTLIB::OLE_F64] = ISD::SETLE;
  CCs[RTLIB::OGT_F32] = ISD::SETGT;
  CCs[RTLIB::OGT_F64] = ISD::SETGT;
  CCs[RTLIB::UO_F32] = ISD::SETNE;
  CCs[RTLIB::UO_F64] = ISD::SETNE;
  CCs[RTLIB::O_F32] = ISD::SETEQ;
  CCs[RTLIB::O_F64] = ISD::SETEQ;
}

TargetLowering::TargetLowering(TargetMachine &tm)
  : TM(tm), TD(TM.getTargetData()) {
  assert(ISD::BUILTIN_OP_END <= 156 &&
         "Fixed size array in TargetLowering is not large enough!");
  // All operations default to being supported.
  memset(OpActions, 0, sizeof(OpActions));
  memset(LoadXActions, 0, sizeof(LoadXActions));
  memset(&StoreXActions, 0, sizeof(StoreXActions));
  // Initialize all indexed load / store to expand.
  for (unsigned VT = 0; VT != (unsigned)MVT::LAST_VALUETYPE; ++VT) {
    for (unsigned IM = (unsigned)ISD::PRE_INC;
         IM != (unsigned)ISD::LAST_INDEXED_MODE; ++IM) {
      setIndexedLoadAction(IM, (MVT::ValueType)VT, Expand);
      setIndexedStoreAction(IM, (MVT::ValueType)VT, Expand);
    }
  }

  IsLittleEndian = TD->isLittleEndian();
  UsesGlobalOffsetTable = false;
  ShiftAmountTy = SetCCResultTy = PointerTy = getValueType(TD->getIntPtrType());
  ShiftAmtHandling = Undefined;
  memset(RegClassForVT, 0,MVT::LAST_VALUETYPE*sizeof(TargetRegisterClass*));
  memset(TargetDAGCombineArray, 0, 
         sizeof(TargetDAGCombineArray)/sizeof(TargetDAGCombineArray[0]));
  maxStoresPerMemset = maxStoresPerMemcpy = maxStoresPerMemmove = 8;
  allowUnalignedMemoryAccesses = false;
  UseUnderscoreSetJmp = false;
  UseUnderscoreLongJmp = false;
  IntDivIsCheap = false;
  Pow2DivIsCheap = false;
  StackPointerRegisterToSaveRestore = 0;
  SchedPreferenceInfo = SchedulingForLatency;
  JumpBufSize = 0;
  JumpBufAlignment = 0;

  InitLibcallNames(LibcallRoutineNames);
  InitCmpLibcallCCs(CmpLibcallCCs);
}

TargetLowering::~TargetLowering() {}

/// setValueTypeAction - Set the action for a particular value type.  This
/// assumes an action has not already been set for this value type.
static void SetValueTypeAction(MVT::ValueType VT,
                               TargetLowering::LegalizeAction Action,
                               TargetLowering &TLI,
                               MVT::ValueType *TransformToType,
                        TargetLowering::ValueTypeActionImpl &ValueTypeActions) {
  ValueTypeActions.setTypeAction(VT, Action);
  if (Action == TargetLowering::Promote) {
    MVT::ValueType PromoteTo;
    if (VT == MVT::f32)
      PromoteTo = MVT::f64;
    else {
      unsigned LargerReg = VT+1;
      while (!TLI.isTypeLegal((MVT::ValueType)LargerReg)) {
        ++LargerReg;
        assert(MVT::isInteger((MVT::ValueType)LargerReg) &&
               "Nothing to promote to??");
      }
      PromoteTo = (MVT::ValueType)LargerReg;
    }

    assert(MVT::isInteger(VT) == MVT::isInteger(PromoteTo) &&
           MVT::isFloatingPoint(VT) == MVT::isFloatingPoint(PromoteTo) &&
           "Can only promote from int->int or fp->fp!");
    assert(VT < PromoteTo && "Must promote to a larger type!");
    TransformToType[VT] = PromoteTo;
  } else if (Action == TargetLowering::Expand) {
    // f32 and f64 is each expanded to corresponding integer type of same size.
    if (VT == MVT::f32)
      TransformToType[VT] = MVT::i32;
    else if (VT == MVT::f64)
      TransformToType[VT] = MVT::i64;
    else {
      assert((VT == MVT::Vector || MVT::isInteger(VT)) && VT > MVT::i8 &&
             "Cannot expand this type: target must support SOME integer reg!");
      // Expand to the next smaller integer type!
      TransformToType[VT] = (MVT::ValueType)(VT-1);
    }
  }
}


/// computeRegisterProperties - Once all of the register classes are added,
/// this allows us to compute derived properties we expose.
void TargetLowering::computeRegisterProperties() {
  assert(MVT::LAST_VALUETYPE <= 32 &&
         "Too many value types for ValueTypeActions to hold!");

  // Everything defaults to one.
  for (unsigned i = 0; i != MVT::LAST_VALUETYPE; ++i)
    NumElementsForVT[i] = 1;

  // Find the largest integer register class.
  unsigned LargestIntReg = MVT::i128;
  for (; RegClassForVT[LargestIntReg] == 0; --LargestIntReg)
    assert(LargestIntReg != MVT::i1 && "No integer registers defined!");

  // Every integer value type larger than this largest register takes twice as
  // many registers to represent as the previous ValueType.
  unsigned ExpandedReg = LargestIntReg; ++LargestIntReg;
  for (++ExpandedReg; MVT::isInteger((MVT::ValueType)ExpandedReg);++ExpandedReg)
    NumElementsForVT[ExpandedReg] = 2*NumElementsForVT[ExpandedReg-1];

  // Inspect all of the ValueType's possible, deciding how to process them.
  for (unsigned IntReg = MVT::i1; IntReg <= MVT::i128; ++IntReg)
    // If we are expanding this type, expand it!
    if (getNumElements((MVT::ValueType)IntReg) != 1)
      SetValueTypeAction((MVT::ValueType)IntReg, Expand, *this, TransformToType,
                         ValueTypeActions);
    else if (!isTypeLegal((MVT::ValueType)IntReg))
      // Otherwise, if we don't have native support, we must promote to a
      // larger type.
      SetValueTypeAction((MVT::ValueType)IntReg, Promote, *this,
                         TransformToType, ValueTypeActions);
    else
      TransformToType[(MVT::ValueType)IntReg] = (MVT::ValueType)IntReg;

  // If the target does not have native F64 support, expand it to I64. We will
  // be generating soft float library calls. If the target does not have native
  // support for F32, promote it to F64 if it is legal. Otherwise, expand it to
  // I32.
  if (isTypeLegal(MVT::f64))
    TransformToType[MVT::f64] = MVT::f64;  
  else {
    NumElementsForVT[MVT::f64] = NumElementsForVT[MVT::i64];
    SetValueTypeAction(MVT::f64, Expand, *this, TransformToType,
                       ValueTypeActions);
  }
  if (isTypeLegal(MVT::f32))
    TransformToType[MVT::f32] = MVT::f32;
  else if (isTypeLegal(MVT::f64))
    SetValueTypeAction(MVT::f32, Promote, *this, TransformToType,
                       ValueTypeActions);
  else {
    NumElementsForVT[MVT::f32] = NumElementsForVT[MVT::i32];
    SetValueTypeAction(MVT::f32, Expand, *this, TransformToType,
                       ValueTypeActions);
  }
  
  // Set MVT::Vector to always be Expanded
  SetValueTypeAction(MVT::Vector, Expand, *this, TransformToType, 
                     ValueTypeActions);
  
  // Loop over all of the legal vector value types, specifying an identity type
  // transformation.
  for (unsigned i = MVT::FIRST_VECTOR_VALUETYPE;
       i <= MVT::LAST_VECTOR_VALUETYPE; ++i) {
    if (isTypeLegal((MVT::ValueType)i))
      TransformToType[i] = (MVT::ValueType)i;
  }
}

const char *TargetLowering::getTargetNodeName(unsigned Opcode) const {
  return NULL;
}

/// getPackedTypeBreakdown - Packed types are broken down into some number of
/// legal first class types. For example, <8 x float> maps to 2 MVT::v4f32
/// with Altivec or SSE1, or 8 promoted MVT::f64 values with the X86 FP stack.
///
/// This method returns the number and type of the resultant breakdown.
///
unsigned TargetLowering::getPackedTypeBreakdown(const PackedType *PTy, 
                                                MVT::ValueType &PTyElementVT,
                                      MVT::ValueType &PTyLegalElementVT) const {
  // Figure out the right, legal destination reg to copy into.
  unsigned NumElts = PTy->getNumElements();
  MVT::ValueType EltTy = getValueType(PTy->getElementType());
  
  unsigned NumVectorRegs = 1;
  
  // Divide the input until we get to a supported size.  This will always
  // end with a scalar if the target doesn't support vectors.
  while (NumElts > 1 && !isTypeLegal(getVectorType(EltTy, NumElts))) {
    NumElts >>= 1;
    NumVectorRegs <<= 1;
  }
  
  MVT::ValueType VT;
  if (NumElts == 1) {
    VT = EltTy;
  } else {
    VT = getVectorType(EltTy, NumElts); 
  }
  PTyElementVT = VT;

  MVT::ValueType DestVT = getTypeToTransformTo(VT);
  PTyLegalElementVT = DestVT;
  if (DestVT < VT) {
    // Value is expanded, e.g. i64 -> i16.
    return NumVectorRegs*(MVT::getSizeInBits(VT)/MVT::getSizeInBits(DestVT));
  } else {
    // Otherwise, promotion or legal types use the same number of registers as
    // the vector decimated to the appropriate level.
    return NumVectorRegs;
  }
  
  return 1;
}

//===----------------------------------------------------------------------===//
//  Optimization Methods
//===----------------------------------------------------------------------===//

/// ShrinkDemandedConstant - Check to see if the specified operand of the 
/// specified instruction is a constant integer.  If so, check to see if there
/// are any bits set in the constant that are not demanded.  If so, shrink the
/// constant and return true.
bool TargetLowering::TargetLoweringOpt::ShrinkDemandedConstant(SDOperand Op, 
                                                            uint64_t Demanded) {
  // FIXME: ISD::SELECT, ISD::SELECT_CC
  switch(Op.getOpcode()) {
  default: break;
  case ISD::AND:
  case ISD::OR:
  case ISD::XOR:
    if (ConstantSDNode *C = dyn_cast<ConstantSDNode>(Op.getOperand(1)))
      if ((~Demanded & C->getValue()) != 0) {
        MVT::ValueType VT = Op.getValueType();
        SDOperand New = DAG.getNode(Op.getOpcode(), VT, Op.getOperand(0),
                                    DAG.getConstant(Demanded & C->getValue(), 
                                                    VT));
        return CombineTo(Op, New);
      }
    break;
  }
  return false;
}

/// SimplifyDemandedBits - Look at Op.  At this point, we know that only the
/// DemandedMask bits of the result of Op are ever used downstream.  If we can
/// use this information to simplify Op, create a new simplified DAG node and
/// return true, returning the original and new nodes in Old and New. Otherwise,
/// analyze the expression and return a mask of KnownOne and KnownZero bits for
/// the expression (used to simplify the caller).  The KnownZero/One bits may
/// only be accurate for those bits in the DemandedMask.
bool TargetLowering::SimplifyDemandedBits(SDOperand Op, uint64_t DemandedMask, 
                                          uint64_t &KnownZero,
                                          uint64_t &KnownOne,
                                          TargetLoweringOpt &TLO,
                                          unsigned Depth) const {
  KnownZero = KnownOne = 0;   // Don't know anything.
  // Other users may use these bits.
  if (!Op.Val->hasOneUse()) { 
    if (Depth != 0) {
      // If not at the root, Just compute the KnownZero/KnownOne bits to 
      // simplify things downstream.
      ComputeMaskedBits(Op, DemandedMask, KnownZero, KnownOne, Depth);
      return false;
    }
    // If this is the root being simplified, allow it to have multiple uses,
    // just set the DemandedMask to all bits.
    DemandedMask = MVT::getIntVTBitMask(Op.getValueType());
  } else if (DemandedMask == 0) {   
    // Not demanding any bits from Op.
    if (Op.getOpcode() != ISD::UNDEF)
      return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::UNDEF, Op.getValueType()));
    return false;
  } else if (Depth == 6) {        // Limit search depth.
    return false;
  }

  uint64_t KnownZero2, KnownOne2, KnownZeroOut, KnownOneOut;
  switch (Op.getOpcode()) {
  case ISD::Constant:
    // We know all of the bits for a constant!
    KnownOne = cast<ConstantSDNode>(Op)->getValue() & DemandedMask;
    KnownZero = ~KnownOne & DemandedMask;
    return false;   // Don't fall through, will infinitely loop.
  case ISD::AND:
    // If the RHS is a constant, check to see if the LHS would be zero without
    // using the bits from the RHS.  Below, we use knowledge about the RHS to
    // simplify the LHS, here we're using information from the LHS to simplify
    // the RHS.
    if (ConstantSDNode *RHSC = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      uint64_t LHSZero, LHSOne;
      ComputeMaskedBits(Op.getOperand(0), DemandedMask,
                        LHSZero, LHSOne, Depth+1);
      // If the LHS already has zeros where RHSC does, this and is dead.
      if ((LHSZero & DemandedMask) == (~RHSC->getValue() & DemandedMask))
        return TLO.CombineTo(Op, Op.getOperand(0));
      // If any of the set bits in the RHS are known zero on the LHS, shrink
      // the constant.
      if (TLO.ShrinkDemandedConstant(Op, ~LHSZero & DemandedMask))
        return true;
    }
    
    if (SimplifyDemandedBits(Op.getOperand(1), DemandedMask, KnownZero,
                             KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask & ~KnownZero,
                             KnownZero2, KnownOne2, TLO, Depth+1))
      return true;
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
      
    // If all of the demanded bits are known one on one side, return the other.
    // These bits cannot contribute to the result of the 'and'.
    if ((DemandedMask & ~KnownZero2 & KnownOne)==(DemandedMask & ~KnownZero2))
      return TLO.CombineTo(Op, Op.getOperand(0));
    if ((DemandedMask & ~KnownZero & KnownOne2)==(DemandedMask & ~KnownZero))
      return TLO.CombineTo(Op, Op.getOperand(1));
    // If all of the demanded bits in the inputs are known zeros, return zero.
    if ((DemandedMask & (KnownZero|KnownZero2)) == DemandedMask)
      return TLO.CombineTo(Op, TLO.DAG.getConstant(0, Op.getValueType()));
    // If the RHS is a constant, see if we can simplify it.
    if (TLO.ShrinkDemandedConstant(Op, DemandedMask & ~KnownZero2))
      return true;
      
    // Output known-1 bits are only known if set in both the LHS & RHS.
    KnownOne &= KnownOne2;
    // Output known-0 are known to be clear if zero in either the LHS | RHS.
    KnownZero |= KnownZero2;
    break;
  case ISD::OR:
    if (SimplifyDemandedBits(Op.getOperand(1), DemandedMask, KnownZero, 
                             KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask & ~KnownOne, 
                             KnownZero2, KnownOne2, TLO, Depth+1))
      return true;
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // If all of the demanded bits are known zero on one side, return the other.
    // These bits cannot contribute to the result of the 'or'.
    if ((DemandedMask & ~KnownOne2 & KnownZero) == (DemandedMask & ~KnownOne2))
      return TLO.CombineTo(Op, Op.getOperand(0));
    if ((DemandedMask & ~KnownOne & KnownZero2) == (DemandedMask & ~KnownOne))
      return TLO.CombineTo(Op, Op.getOperand(1));
    // If all of the potentially set bits on one side are known to be set on
    // the other side, just use the 'other' side.
    if ((DemandedMask & (~KnownZero) & KnownOne2) == 
        (DemandedMask & (~KnownZero)))
      return TLO.CombineTo(Op, Op.getOperand(0));
    if ((DemandedMask & (~KnownZero2) & KnownOne) == 
        (DemandedMask & (~KnownZero2)))
      return TLO.CombineTo(Op, Op.getOperand(1));
    // If the RHS is a constant, see if we can simplify it.
    if (TLO.ShrinkDemandedConstant(Op, DemandedMask))
      return true;
          
    // Output known-0 bits are only known if clear in both the LHS & RHS.
    KnownZero &= KnownZero2;
    // Output known-1 are known to be set if set in either the LHS | RHS.
    KnownOne |= KnownOne2;
    break;
  case ISD::XOR:
    if (SimplifyDemandedBits(Op.getOperand(1), DemandedMask, KnownZero, 
                             KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask, KnownZero2,
                             KnownOne2, TLO, Depth+1))
      return true;
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // If all of the demanded bits are known zero on one side, return the other.
    // These bits cannot contribute to the result of the 'xor'.
    if ((DemandedMask & KnownZero) == DemandedMask)
      return TLO.CombineTo(Op, Op.getOperand(0));
    if ((DemandedMask & KnownZero2) == DemandedMask)
      return TLO.CombineTo(Op, Op.getOperand(1));
      
    // If all of the unknown bits are known to be zero on one side or the other
    // (but not both) turn this into an *inclusive* or.
    //    e.g. (A & C1)^(B & C2) -> (A & C1)|(B & C2) iff C1&C2 == 0
    if ((DemandedMask & ~KnownZero & ~KnownZero2) == 0)
      return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::OR, Op.getValueType(),
                                               Op.getOperand(0),
                                               Op.getOperand(1)));
    
    // Output known-0 bits are known if clear or set in both the LHS & RHS.
    KnownZeroOut = (KnownZero & KnownZero2) | (KnownOne & KnownOne2);
    // Output known-1 are known to be set if set in only one of the LHS, RHS.
    KnownOneOut = (KnownZero & KnownOne2) | (KnownOne & KnownZero2);
    
    // If all of the demanded bits on one side are known, and all of the set
    // bits on that side are also known to be set on the other side, turn this
    // into an AND, as we know the bits will be cleared.
    //    e.g. (X | C1) ^ C2 --> (X | C1) & ~C2 iff (C1&C2) == C2
    if ((DemandedMask & (KnownZero|KnownOne)) == DemandedMask) { // all known
      if ((KnownOne & KnownOne2) == KnownOne) {
        MVT::ValueType VT = Op.getValueType();
        SDOperand ANDC = TLO.DAG.getConstant(~KnownOne & DemandedMask, VT);
        return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::AND, VT, Op.getOperand(0),
                                                 ANDC));
      }
    }
    
    // If the RHS is a constant, see if we can simplify it.
    // FIXME: for XOR, we prefer to force bits to 1 if they will make a -1.
    if (TLO.ShrinkDemandedConstant(Op, DemandedMask))
      return true;
    
    KnownZero = KnownZeroOut;
    KnownOne  = KnownOneOut;
    break;
  case ISD::SETCC:
    // If we know the result of a setcc has the top bits zero, use this info.
    if (getSetCCResultContents() == TargetLowering::ZeroOrOneSetCCResult)
      KnownZero |= (MVT::getIntVTBitMask(Op.getValueType()) ^ 1ULL);
    break;
  case ISD::SELECT:
    if (SimplifyDemandedBits(Op.getOperand(2), DemandedMask, KnownZero, 
                             KnownOne, TLO, Depth+1))
      return true;
    if (SimplifyDemandedBits(Op.getOperand(1), DemandedMask, KnownZero2,
                             KnownOne2, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // If the operands are constants, see if we can simplify them.
    if (TLO.ShrinkDemandedConstant(Op, DemandedMask))
      return true;
    
    // Only known if known in both the LHS and RHS.
    KnownOne &= KnownOne2;
    KnownZero &= KnownZero2;
    break;
  case ISD::SELECT_CC:
    if (SimplifyDemandedBits(Op.getOperand(3), DemandedMask, KnownZero, 
                             KnownOne, TLO, Depth+1))
      return true;
    if (SimplifyDemandedBits(Op.getOperand(2), DemandedMask, KnownZero2,
                             KnownOne2, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // If the operands are constants, see if we can simplify them.
    if (TLO.ShrinkDemandedConstant(Op, DemandedMask))
      return true;
      
    // Only known if known in both the LHS and RHS.
    KnownOne &= KnownOne2;
    KnownZero &= KnownZero2;
    break;
  case ISD::SHL:
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask >> SA->getValue(),
                               KnownZero, KnownOne, TLO, Depth+1))
        return true;
      KnownZero <<= SA->getValue();
      KnownOne  <<= SA->getValue();
      KnownZero |= (1ULL << SA->getValue())-1;  // low bits known zero.
    }
    break;
  case ISD::SRL:
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      MVT::ValueType VT = Op.getValueType();
      unsigned ShAmt = SA->getValue();
      
      // Compute the new bits that are at the top now.
      uint64_t TypeMask = MVT::getIntVTBitMask(VT);
      if (SimplifyDemandedBits(Op.getOperand(0), 
                               (DemandedMask << ShAmt) & TypeMask,
                               KnownZero, KnownOne, TLO, Depth+1))
        return true;
      assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
      KnownZero &= TypeMask;
      KnownOne  &= TypeMask;
      KnownZero >>= ShAmt;
      KnownOne  >>= ShAmt;

      uint64_t HighBits = (1ULL << ShAmt)-1;
      HighBits <<= MVT::getSizeInBits(VT) - ShAmt;
      KnownZero |= HighBits;  // High bits known zero.
    }
    break;
  case ISD::SRA:
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      MVT::ValueType VT = Op.getValueType();
      unsigned ShAmt = SA->getValue();
      
      // Compute the new bits that are at the top now.
      uint64_t TypeMask = MVT::getIntVTBitMask(VT);
      
      uint64_t InDemandedMask = (DemandedMask << ShAmt) & TypeMask;

      // If any of the demanded bits are produced by the sign extension, we also
      // demand the input sign bit.
      uint64_t HighBits = (1ULL << ShAmt)-1;
      HighBits <<= MVT::getSizeInBits(VT) - ShAmt;
      if (HighBits & DemandedMask)
        InDemandedMask |= MVT::getIntVTSignBit(VT);
      
      if (SimplifyDemandedBits(Op.getOperand(0), InDemandedMask,
                               KnownZero, KnownOne, TLO, Depth+1))
        return true;
      assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
      KnownZero &= TypeMask;
      KnownOne  &= TypeMask;
      KnownZero >>= ShAmt;
      KnownOne  >>= ShAmt;
      
      // Handle the sign bits.
      uint64_t SignBit = MVT::getIntVTSignBit(VT);
      SignBit >>= ShAmt;  // Adjust to where it is now in the mask.
      
      // If the input sign bit is known to be zero, or if none of the top bits
      // are demanded, turn this into an unsigned shift right.
      if ((KnownZero & SignBit) || (HighBits & ~DemandedMask) == HighBits) {
        return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::SRL, VT, Op.getOperand(0),
                                                 Op.getOperand(1)));
      } else if (KnownOne & SignBit) { // New bits are known one.
        KnownOne |= HighBits;
      }
    }
    break;
  case ISD::SIGN_EXTEND_INREG: {
    MVT::ValueType EVT = cast<VTSDNode>(Op.getOperand(1))->getVT();

    // Sign extension.  Compute the demanded bits in the result that are not 
    // present in the input.
    uint64_t NewBits = ~MVT::getIntVTBitMask(EVT) & DemandedMask;
    
    // If none of the extended bits are demanded, eliminate the sextinreg.
    if (NewBits == 0)
      return TLO.CombineTo(Op, Op.getOperand(0));

    uint64_t InSignBit = MVT::getIntVTSignBit(EVT);
    int64_t InputDemandedBits = DemandedMask & MVT::getIntVTBitMask(EVT);
    
    // Since the sign extended bits are demanded, we know that the sign
    // bit is demanded.
    InputDemandedBits |= InSignBit;

    if (SimplifyDemandedBits(Op.getOperand(0), InputDemandedBits,
                             KnownZero, KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 

    // If the sign bit of the input is known set or clear, then we know the
    // top bits of the result.
    
    // If the input sign bit is known zero, convert this into a zero extension.
    if (KnownZero & InSignBit)
      return TLO.CombineTo(Op, 
                           TLO.DAG.getZeroExtendInReg(Op.getOperand(0), EVT));
    
    if (KnownOne & InSignBit) {    // Input sign bit known set
      KnownOne |= NewBits;
      KnownZero &= ~NewBits;
    } else {                       // Input sign bit unknown
      KnownZero &= ~NewBits;
      KnownOne &= ~NewBits;
    }
    break;
  }
  case ISD::CTTZ:
  case ISD::CTLZ:
  case ISD::CTPOP: {
    MVT::ValueType VT = Op.getValueType();
    unsigned LowBits = Log2_32(MVT::getSizeInBits(VT))+1;
    KnownZero = ~((1ULL << LowBits)-1) & MVT::getIntVTBitMask(VT);
    KnownOne  = 0;
    break;
  }
  case ISD::LOAD: {
    if (ISD::isZEXTLoad(Op.Val)) {
      LoadSDNode *LD = cast<LoadSDNode>(Op);
      MVT::ValueType VT = LD->getLoadedVT();
      KnownZero |= ~MVT::getIntVTBitMask(VT) & DemandedMask;
    }
    break;
  }
  case ISD::ZERO_EXTEND: {
    uint64_t InMask = MVT::getIntVTBitMask(Op.getOperand(0).getValueType());
    
    // If none of the top bits are demanded, convert this into an any_extend.
    uint64_t NewBits = (~InMask) & DemandedMask;
    if (NewBits == 0)
      return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::ANY_EXTEND, 
                                               Op.getValueType(), 
                                               Op.getOperand(0)));
    
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask & InMask,
                             KnownZero, KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    KnownZero |= NewBits;
    break;
  }
  case ISD::SIGN_EXTEND: {
    MVT::ValueType InVT = Op.getOperand(0).getValueType();
    uint64_t InMask    = MVT::getIntVTBitMask(InVT);
    uint64_t InSignBit = MVT::getIntVTSignBit(InVT);
    uint64_t NewBits   = (~InMask) & DemandedMask;
    
    // If none of the top bits are demanded, convert this into an any_extend.
    if (NewBits == 0)
      return TLO.CombineTo(Op,TLO.DAG.getNode(ISD::ANY_EXTEND,Op.getValueType(),
                                           Op.getOperand(0)));
    
    // Since some of the sign extended bits are demanded, we know that the sign
    // bit is demanded.
    uint64_t InDemandedBits = DemandedMask & InMask;
    InDemandedBits |= InSignBit;
    
    if (SimplifyDemandedBits(Op.getOperand(0), InDemandedBits, KnownZero, 
                             KnownOne, TLO, Depth+1))
      return true;
    
    // If the sign bit is known zero, convert this to a zero extend.
    if (KnownZero & InSignBit)
      return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::ZERO_EXTEND, 
                                               Op.getValueType(), 
                                               Op.getOperand(0)));
    
    // If the sign bit is known one, the top bits match.
    if (KnownOne & InSignBit) {
      KnownOne  |= NewBits;
      KnownZero &= ~NewBits;
    } else {   // Otherwise, top bits aren't known.
      KnownOne  &= ~NewBits;
      KnownZero &= ~NewBits;
    }
    break;
  }
  case ISD::ANY_EXTEND: {
    uint64_t InMask = MVT::getIntVTBitMask(Op.getOperand(0).getValueType());
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask & InMask,
                             KnownZero, KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    break;
  }
  case ISD::TRUNCATE: {
    // Simplify the input, using demanded bit information, and compute the known
    // zero/one bits live out.
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask,
                             KnownZero, KnownOne, TLO, Depth+1))
      return true;
    
    // If the input is only used by this truncate, see if we can shrink it based
    // on the known demanded bits.
    if (Op.getOperand(0).Val->hasOneUse()) {
      SDOperand In = Op.getOperand(0);
      switch (In.getOpcode()) {
      default: break;
      case ISD::SRL:
        // Shrink SRL by a constant if none of the high bits shifted in are
        // demanded.
        if (ConstantSDNode *ShAmt = dyn_cast<ConstantSDNode>(In.getOperand(1))){
          uint64_t HighBits = MVT::getIntVTBitMask(In.getValueType());
          HighBits &= ~MVT::getIntVTBitMask(Op.getValueType());
          HighBits >>= ShAmt->getValue();
          
          if (ShAmt->getValue() < MVT::getSizeInBits(Op.getValueType()) &&
              (DemandedMask & HighBits) == 0) {
            // None of the shifted in bits are needed.  Add a truncate of the
            // shift input, then shift it.
            SDOperand NewTrunc = TLO.DAG.getNode(ISD::TRUNCATE, 
                                                 Op.getValueType(), 
                                                 In.getOperand(0));
            return TLO.CombineTo(Op, TLO.DAG.getNode(ISD::SRL,Op.getValueType(),
                                                   NewTrunc, In.getOperand(1)));
          }
        }
        break;
      }
    }
    
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    uint64_t OutMask = MVT::getIntVTBitMask(Op.getValueType());
    KnownZero &= OutMask;
    KnownOne &= OutMask;
    break;
  }
  case ISD::AssertZext: {
    MVT::ValueType VT = cast<VTSDNode>(Op.getOperand(1))->getVT();
    uint64_t InMask = MVT::getIntVTBitMask(VT);
    if (SimplifyDemandedBits(Op.getOperand(0), DemandedMask & InMask,
                             KnownZero, KnownOne, TLO, Depth+1))
      return true;
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    KnownZero |= ~InMask & DemandedMask;
    break;
  }
  case ISD::ADD:
  case ISD::SUB:
  case ISD::INTRINSIC_WO_CHAIN:
  case ISD::INTRINSIC_W_CHAIN:
  case ISD::INTRINSIC_VOID:
    // Just use ComputeMaskedBits to compute output bits.
    ComputeMaskedBits(Op, DemandedMask, KnownZero, KnownOne, Depth);
    break;
  }
  
  // If we know the value of all of the demanded bits, return this as a
  // constant.
  if ((DemandedMask & (KnownZero|KnownOne)) == DemandedMask)
    return TLO.CombineTo(Op, TLO.DAG.getConstant(KnownOne, Op.getValueType()));
  
  return false;
}

/// MaskedValueIsZero - Return true if 'V & Mask' is known to be zero.  We use
/// this predicate to simplify operations downstream.  Mask is known to be zero
/// for bits that V cannot have.
bool TargetLowering::MaskedValueIsZero(SDOperand Op, uint64_t Mask, 
                                       unsigned Depth) const {
  uint64_t KnownZero, KnownOne;
  ComputeMaskedBits(Op, Mask, KnownZero, KnownOne, Depth);
  assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
  return (KnownZero & Mask) == Mask;
}

/// ComputeMaskedBits - Determine which of the bits specified in Mask are
/// known to be either zero or one and return them in the KnownZero/KnownOne
/// bitsets.  This code only analyzes bits in Mask, in order to short-circuit
/// processing.
void TargetLowering::ComputeMaskedBits(SDOperand Op, uint64_t Mask, 
                                       uint64_t &KnownZero, uint64_t &KnownOne,
                                       unsigned Depth) const {
  KnownZero = KnownOne = 0;   // Don't know anything.
  if (Depth == 6 || Mask == 0)
    return;  // Limit search depth.
  
  uint64_t KnownZero2, KnownOne2;

  switch (Op.getOpcode()) {
  case ISD::Constant:
    // We know all of the bits for a constant!
    KnownOne = cast<ConstantSDNode>(Op)->getValue() & Mask;
    KnownZero = ~KnownOne & Mask;
    return;
  case ISD::AND:
    // If either the LHS or the RHS are Zero, the result is zero.
    ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero, KnownOne, Depth+1);
    Mask &= ~KnownZero;
    ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 

    // Output known-1 bits are only known if set in both the LHS & RHS.
    KnownOne &= KnownOne2;
    // Output known-0 are known to be clear if zero in either the LHS | RHS.
    KnownZero |= KnownZero2;
    return;
  case ISD::OR:
    ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero, KnownOne, Depth+1);
    Mask &= ~KnownOne;
    ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // Output known-0 bits are only known if clear in both the LHS & RHS.
    KnownZero &= KnownZero2;
    // Output known-1 are known to be set if set in either the LHS | RHS.
    KnownOne |= KnownOne2;
    return;
  case ISD::XOR: {
    ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero, KnownOne, Depth+1);
    ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // Output known-0 bits are known if clear or set in both the LHS & RHS.
    uint64_t KnownZeroOut = (KnownZero & KnownZero2) | (KnownOne & KnownOne2);
    // Output known-1 are known to be set if set in only one of the LHS, RHS.
    KnownOne = (KnownZero & KnownOne2) | (KnownOne & KnownZero2);
    KnownZero = KnownZeroOut;
    return;
  }
  case ISD::SELECT:
    ComputeMaskedBits(Op.getOperand(2), Mask, KnownZero, KnownOne, Depth+1);
    ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // Only known if known in both the LHS and RHS.
    KnownOne &= KnownOne2;
    KnownZero &= KnownZero2;
    return;
  case ISD::SELECT_CC:
    ComputeMaskedBits(Op.getOperand(3), Mask, KnownZero, KnownOne, Depth+1);
    ComputeMaskedBits(Op.getOperand(2), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // Only known if known in both the LHS and RHS.
    KnownOne &= KnownOne2;
    KnownZero &= KnownZero2;
    return;
  case ISD::SETCC:
    // If we know the result of a setcc has the top bits zero, use this info.
    if (getSetCCResultContents() == TargetLowering::ZeroOrOneSetCCResult)
      KnownZero |= (MVT::getIntVTBitMask(Op.getValueType()) ^ 1ULL);
    return;
  case ISD::SHL:
    // (shl X, C1) & C2 == 0   iff   (X & C2 >>u C1) == 0
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      ComputeMaskedBits(Op.getOperand(0), Mask >> SA->getValue(),
                        KnownZero, KnownOne, Depth+1);
      assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
      KnownZero <<= SA->getValue();
      KnownOne  <<= SA->getValue();
      KnownZero |= (1ULL << SA->getValue())-1;  // low bits known zero.
    }
    return;
  case ISD::SRL:
    // (ushr X, C1) & C2 == 0   iff  (-1 >> C1) & C2 == 0
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      MVT::ValueType VT = Op.getValueType();
      unsigned ShAmt = SA->getValue();

      uint64_t TypeMask = MVT::getIntVTBitMask(VT);
      ComputeMaskedBits(Op.getOperand(0), (Mask << ShAmt) & TypeMask,
                        KnownZero, KnownOne, Depth+1);
      assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
      KnownZero &= TypeMask;
      KnownOne  &= TypeMask;
      KnownZero >>= ShAmt;
      KnownOne  >>= ShAmt;

      uint64_t HighBits = (1ULL << ShAmt)-1;
      HighBits <<= MVT::getSizeInBits(VT)-ShAmt;
      KnownZero |= HighBits;  // High bits known zero.
    }
    return;
  case ISD::SRA:
    if (ConstantSDNode *SA = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      MVT::ValueType VT = Op.getValueType();
      unsigned ShAmt = SA->getValue();

      // Compute the new bits that are at the top now.
      uint64_t TypeMask = MVT::getIntVTBitMask(VT);

      uint64_t InDemandedMask = (Mask << ShAmt) & TypeMask;
      // If any of the demanded bits are produced by the sign extension, we also
      // demand the input sign bit.
      uint64_t HighBits = (1ULL << ShAmt)-1;
      HighBits <<= MVT::getSizeInBits(VT) - ShAmt;
      if (HighBits & Mask)
        InDemandedMask |= MVT::getIntVTSignBit(VT);
      
      ComputeMaskedBits(Op.getOperand(0), InDemandedMask, KnownZero, KnownOne,
                        Depth+1);
      assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
      KnownZero &= TypeMask;
      KnownOne  &= TypeMask;
      KnownZero >>= ShAmt;
      KnownOne  >>= ShAmt;
      
      // Handle the sign bits.
      uint64_t SignBit = MVT::getIntVTSignBit(VT);
      SignBit >>= ShAmt;  // Adjust to where it is now in the mask.
      
      if (KnownZero & SignBit) {       
        KnownZero |= HighBits;  // New bits are known zero.
      } else if (KnownOne & SignBit) {
        KnownOne  |= HighBits;  // New bits are known one.
      }
    }
    return;
  case ISD::SIGN_EXTEND_INREG: {
    MVT::ValueType EVT = cast<VTSDNode>(Op.getOperand(1))->getVT();
    
    // Sign extension.  Compute the demanded bits in the result that are not 
    // present in the input.
    uint64_t NewBits = ~MVT::getIntVTBitMask(EVT) & Mask;

    uint64_t InSignBit = MVT::getIntVTSignBit(EVT);
    int64_t InputDemandedBits = Mask & MVT::getIntVTBitMask(EVT);
    
    // If the sign extended bits are demanded, we know that the sign
    // bit is demanded.
    if (NewBits)
      InputDemandedBits |= InSignBit;
    
    ComputeMaskedBits(Op.getOperand(0), InputDemandedBits,
                      KnownZero, KnownOne, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    
    // If the sign bit of the input is known set or clear, then we know the
    // top bits of the result.
    if (KnownZero & InSignBit) {          // Input sign bit known clear
      KnownZero |= NewBits;
      KnownOne  &= ~NewBits;
    } else if (KnownOne & InSignBit) {    // Input sign bit known set
      KnownOne  |= NewBits;
      KnownZero &= ~NewBits;
    } else {                              // Input sign bit unknown
      KnownZero &= ~NewBits;
      KnownOne  &= ~NewBits;
    }
    return;
  }
  case ISD::CTTZ:
  case ISD::CTLZ:
  case ISD::CTPOP: {
    MVT::ValueType VT = Op.getValueType();
    unsigned LowBits = Log2_32(MVT::getSizeInBits(VT))+1;
    KnownZero = ~((1ULL << LowBits)-1) & MVT::getIntVTBitMask(VT);
    KnownOne  = 0;
    return;
  }
  case ISD::LOAD: {
    if (ISD::isZEXTLoad(Op.Val)) {
      LoadSDNode *LD = cast<LoadSDNode>(Op);
      MVT::ValueType VT = LD->getLoadedVT();
      KnownZero |= ~MVT::getIntVTBitMask(VT) & Mask;
    }
    return;
  }
  case ISD::ZERO_EXTEND: {
    uint64_t InMask  = MVT::getIntVTBitMask(Op.getOperand(0).getValueType());
    uint64_t NewBits = (~InMask) & Mask;
    ComputeMaskedBits(Op.getOperand(0), Mask & InMask, KnownZero, 
                      KnownOne, Depth+1);
    KnownZero |= NewBits & Mask;
    KnownOne  &= ~NewBits;
    return;
  }
  case ISD::SIGN_EXTEND: {
    MVT::ValueType InVT = Op.getOperand(0).getValueType();
    unsigned InBits    = MVT::getSizeInBits(InVT);
    uint64_t InMask    = MVT::getIntVTBitMask(InVT);
    uint64_t InSignBit = 1ULL << (InBits-1);
    uint64_t NewBits   = (~InMask) & Mask;
    uint64_t InDemandedBits = Mask & InMask;

    // If any of the sign extended bits are demanded, we know that the sign
    // bit is demanded.
    if (NewBits & Mask)
      InDemandedBits |= InSignBit;
    
    ComputeMaskedBits(Op.getOperand(0), InDemandedBits, KnownZero, 
                      KnownOne, Depth+1);
    // If the sign bit is known zero or one, the  top bits match.
    if (KnownZero & InSignBit) {
      KnownZero |= NewBits;
      KnownOne  &= ~NewBits;
    } else if (KnownOne & InSignBit) {
      KnownOne  |= NewBits;
      KnownZero &= ~NewBits;
    } else {   // Otherwise, top bits aren't known.
      KnownOne  &= ~NewBits;
      KnownZero &= ~NewBits;
    }
    return;
  }
  case ISD::ANY_EXTEND: {
    MVT::ValueType VT = Op.getOperand(0).getValueType();
    ComputeMaskedBits(Op.getOperand(0), Mask & MVT::getIntVTBitMask(VT),
                      KnownZero, KnownOne, Depth+1);
    return;
  }
  case ISD::TRUNCATE: {
    ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero, KnownOne, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    uint64_t OutMask = MVT::getIntVTBitMask(Op.getValueType());
    KnownZero &= OutMask;
    KnownOne &= OutMask;
    break;
  }
  case ISD::AssertZext: {
    MVT::ValueType VT = cast<VTSDNode>(Op.getOperand(1))->getVT();
    uint64_t InMask = MVT::getIntVTBitMask(VT);
    ComputeMaskedBits(Op.getOperand(0), Mask & InMask, KnownZero, 
                      KnownOne, Depth+1);
    KnownZero |= (~InMask) & Mask;
    return;
  }
  case ISD::ADD: {
    // If either the LHS or the RHS are Zero, the result is zero.
    ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero, KnownOne, Depth+1);
    ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero2, KnownOne2, Depth+1);
    assert((KnownZero & KnownOne) == 0 && "Bits known to be one AND zero?"); 
    assert((KnownZero2 & KnownOne2) == 0 && "Bits known to be one AND zero?"); 
    
    // Output known-0 bits are known if clear or set in both the low clear bits
    // common to both LHS & RHS.  For example, 8+(X<<3) is known to have the
    // low 3 bits clear.
    uint64_t KnownZeroOut = std::min(CountTrailingZeros_64(~KnownZero), 
                                     CountTrailingZeros_64(~KnownZero2));
    
    KnownZero = (1ULL << KnownZeroOut) - 1;
    KnownOne = 0;
    return;
  }
  case ISD::SUB: {
    ConstantSDNode *CLHS = dyn_cast<ConstantSDNode>(Op.getOperand(0));
    if (!CLHS) return;

    // We know that the top bits of C-X are clear if X contains less bits
    // than C (i.e. no wrap-around can happen).  For example, 20-X is
    // positive if we can prove that X is >= 0 and < 16.
    MVT::ValueType VT = CLHS->getValueType(0);
    if ((CLHS->getValue() & MVT::getIntVTSignBit(VT)) == 0) {  // sign bit clear
      unsigned NLZ = CountLeadingZeros_64(CLHS->getValue()+1);
      uint64_t MaskV = (1ULL << (63-NLZ))-1; // NLZ can't be 64 with no sign bit
      MaskV = ~MaskV & MVT::getIntVTBitMask(VT);
      ComputeMaskedBits(Op.getOperand(1), MaskV, KnownZero, KnownOne, Depth+1);

      // If all of the MaskV bits are known to be zero, then we know the output
      // top bits are zero, because we now know that the output is from [0-C].
      if ((KnownZero & MaskV) == MaskV) {
        unsigned NLZ2 = CountLeadingZeros_64(CLHS->getValue());
        KnownZero = ~((1ULL << (64-NLZ2))-1) & Mask;  // Top bits known zero.
        KnownOne = 0;   // No one bits known.
      } else {
        KnownZero = KnownOne = 0;  // Otherwise, nothing known.
      }
    }
    return;
  }
  default:
    // Allow the target to implement this method for its nodes.
    if (Op.getOpcode() >= ISD::BUILTIN_OP_END) {
  case ISD::INTRINSIC_WO_CHAIN:
  case ISD::INTRINSIC_W_CHAIN:
  case ISD::INTRINSIC_VOID:
      computeMaskedBitsForTargetNode(Op, Mask, KnownZero, KnownOne);
    }
    return;
  }
}

/// computeMaskedBitsForTargetNode - Determine which of the bits specified 
/// in Mask are known to be either zero or one and return them in the 
/// KnownZero/KnownOne bitsets.
void TargetLowering::computeMaskedBitsForTargetNode(const SDOperand Op, 
                                                    uint64_t Mask,
                                                    uint64_t &KnownZero, 
                                                    uint64_t &KnownOne,
                                                    unsigned Depth) const {
  assert((Op.getOpcode() >= ISD::BUILTIN_OP_END ||
          Op.getOpcode() == ISD::INTRINSIC_WO_CHAIN ||
          Op.getOpcode() == ISD::INTRINSIC_W_CHAIN ||
          Op.getOpcode() == ISD::INTRINSIC_VOID) &&
         "Should use MaskedValueIsZero if you don't know whether Op"
         " is a target node!");
  KnownZero = 0;
  KnownOne = 0;
}

/// ComputeNumSignBits - Return the number of times the sign bit of the
/// register is replicated into the other bits.  We know that at least 1 bit
/// is always equal to the sign bit (itself), but other cases can give us
/// information.  For example, immediately after an "SRA X, 2", we know that
/// the top 3 bits are all equal to each other, so we return 3.
unsigned TargetLowering::ComputeNumSignBits(SDOperand Op, unsigned Depth) const{
  MVT::ValueType VT = Op.getValueType();
  assert(MVT::isInteger(VT) && "Invalid VT!");
  unsigned VTBits = MVT::getSizeInBits(VT);
  unsigned Tmp, Tmp2;
  
  if (Depth == 6)
    return 1;  // Limit search depth.

  switch (Op.getOpcode()) {
  default: break;
  case ISD::AssertSext:
    Tmp = MVT::getSizeInBits(cast<VTSDNode>(Op.getOperand(1))->getVT());
    return VTBits-Tmp+1;
  case ISD::AssertZext:
    Tmp = MVT::getSizeInBits(cast<VTSDNode>(Op.getOperand(1))->getVT());
    return VTBits-Tmp;
    
  case ISD::Constant: {
    uint64_t Val = cast<ConstantSDNode>(Op)->getValue();
    // If negative, invert the bits, then look at it.
    if (Val & MVT::getIntVTSignBit(VT))
      Val = ~Val;
    
    // Shift the bits so they are the leading bits in the int64_t.
    Val <<= 64-VTBits;
    
    // Return # leading zeros.  We use 'min' here in case Val was zero before
    // shifting.  We don't want to return '64' as for an i32 "0".
    return std::min(VTBits, CountLeadingZeros_64(Val));
  }
    
  case ISD::SIGN_EXTEND:
    Tmp = VTBits-MVT::getSizeInBits(Op.getOperand(0).getValueType());
    return ComputeNumSignBits(Op.getOperand(0), Depth+1) + Tmp;
    
  case ISD::SIGN_EXTEND_INREG:
    // Max of the input and what this extends.
    Tmp = MVT::getSizeInBits(cast<VTSDNode>(Op.getOperand(1))->getVT());
    Tmp = VTBits-Tmp+1;
    
    Tmp2 = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    return std::max(Tmp, Tmp2);

  case ISD::SRA:
    Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    // SRA X, C   -> adds C sign bits.
    if (ConstantSDNode *C = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      Tmp += C->getValue();
      if (Tmp > VTBits) Tmp = VTBits;
    }
    return Tmp;
  case ISD::SHL:
    if (ConstantSDNode *C = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      // shl destroys sign bits.
      Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
      if (C->getValue() >= VTBits ||      // Bad shift.
          C->getValue() >= Tmp) break;    // Shifted all sign bits out.
      return Tmp - C->getValue();
    }
    break;
  case ISD::AND:
  case ISD::OR:
  case ISD::XOR:    // NOT is handled here.
    // Logical binary ops preserve the number of sign bits.
    Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    if (Tmp == 1) return 1;  // Early out.
    Tmp2 = ComputeNumSignBits(Op.getOperand(1), Depth+1);
    return std::min(Tmp, Tmp2);

  case ISD::SELECT:
    Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    if (Tmp == 1) return 1;  // Early out.
    Tmp2 = ComputeNumSignBits(Op.getOperand(1), Depth+1);
    return std::min(Tmp, Tmp2);
    
  case ISD::SETCC:
    // If setcc returns 0/-1, all bits are sign bits.
    if (getSetCCResultContents() == ZeroOrNegativeOneSetCCResult)
      return VTBits;
    break;
  case ISD::ROTL:
  case ISD::ROTR:
    if (ConstantSDNode *C = dyn_cast<ConstantSDNode>(Op.getOperand(1))) {
      unsigned RotAmt = C->getValue() & (VTBits-1);
      
      // Handle rotate right by N like a rotate left by 32-N.
      if (Op.getOpcode() == ISD::ROTR)
        RotAmt = (VTBits-RotAmt) & (VTBits-1);

      // If we aren't rotating out all of the known-in sign bits, return the
      // number that are left.  This handles rotl(sext(x), 1) for example.
      Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
      if (Tmp > RotAmt+1) return Tmp-RotAmt;
    }
    break;
  case ISD::ADD:
    // Add can have at most one carry bit.  Thus we know that the output
    // is, at worst, one more bit than the inputs.
    Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    if (Tmp == 1) return 1;  // Early out.
      
    // Special case decrementing a value (ADD X, -1):
    if (ConstantSDNode *CRHS = dyn_cast<ConstantSDNode>(Op.getOperand(0)))
      if (CRHS->isAllOnesValue()) {
        uint64_t KnownZero, KnownOne;
        uint64_t Mask = MVT::getIntVTBitMask(VT);
        ComputeMaskedBits(Op.getOperand(0), Mask, KnownZero, KnownOne, Depth+1);
        
        // If the input is known to be 0 or 1, the output is 0/-1, which is all
        // sign bits set.
        if ((KnownZero|1) == Mask)
          return VTBits;
        
        // If we are subtracting one from a positive number, there is no carry
        // out of the result.
        if (KnownZero & MVT::getIntVTSignBit(VT))
          return Tmp;
      }
      
    Tmp2 = ComputeNumSignBits(Op.getOperand(1), Depth+1);
    if (Tmp2 == 1) return 1;
      return std::min(Tmp, Tmp2)-1;
    break;
    
  case ISD::SUB:
    Tmp2 = ComputeNumSignBits(Op.getOperand(1), Depth+1);
    if (Tmp2 == 1) return 1;
      
    // Handle NEG.
    if (ConstantSDNode *CLHS = dyn_cast<ConstantSDNode>(Op.getOperand(0)))
      if (CLHS->getValue() == 0) {
        uint64_t KnownZero, KnownOne;
        uint64_t Mask = MVT::getIntVTBitMask(VT);
        ComputeMaskedBits(Op.getOperand(1), Mask, KnownZero, KnownOne, Depth+1);
        // If the input is known to be 0 or 1, the output is 0/-1, which is all
        // sign bits set.
        if ((KnownZero|1) == Mask)
          return VTBits;
        
        // If the input is known to be positive (the sign bit is known clear),
        // the output of the NEG has the same number of sign bits as the input.
        if (KnownZero & MVT::getIntVTSignBit(VT))
          return Tmp2;
        
        // Otherwise, we treat this like a SUB.
      }
    
    // Sub can have at most one carry bit.  Thus we know that the output
    // is, at worst, one more bit than the inputs.
    Tmp = ComputeNumSignBits(Op.getOperand(0), Depth+1);
    if (Tmp == 1) return 1;  // Early out.
      return std::min(Tmp, Tmp2)-1;
    break;
  case ISD::TRUNCATE:
    // FIXME: it's tricky to do anything useful for this, but it is an important
    // case for targets like X86.
    break;
  }
  
  // Handle LOADX separately here. EXTLOAD case will fallthrough.
  if (Op.getOpcode() == ISD::LOAD) {
    LoadSDNode *LD = cast<LoadSDNode>(Op);
    unsigned ExtType = LD->getExtensionType();
    switch (ExtType) {
    default: break;
    case ISD::SEXTLOAD:    // '17' bits known
      Tmp = MVT::getSizeInBits(LD->getLoadedVT());
      return VTBits-Tmp+1;
    case ISD::ZEXTLOAD:    // '16' bits known
      Tmp = MVT::getSizeInBits(LD->getLoadedVT());
      return VTBits-Tmp;
    }
  }

  // Allow the target to implement this method for its nodes.
  if (Op.getOpcode() >= ISD::BUILTIN_OP_END ||
      Op.getOpcode() == ISD::INTRINSIC_WO_CHAIN || 
      Op.getOpcode() == ISD::INTRINSIC_W_CHAIN ||
      Op.getOpcode() == ISD::INTRINSIC_VOID) {
    unsigned NumBits = ComputeNumSignBitsForTargetNode(Op, Depth);
    if (NumBits > 1) return NumBits;
  }
  
  // Finally, if we can prove that the top bits of the result are 0's or 1's,
  // use this information.
  uint64_t KnownZero, KnownOne;
  uint64_t Mask = MVT::getIntVTBitMask(VT);
  ComputeMaskedBits(Op, Mask, KnownZero, KnownOne, Depth);
  
  uint64_t SignBit = MVT::getIntVTSignBit(VT);
  if (KnownZero & SignBit) {        // SignBit is 0
    Mask = KnownZero;
  } else if (KnownOne & SignBit) {  // SignBit is 1;
    Mask = KnownOne;
  } else {
    // Nothing known.
    return 1;
  }
  
  // Okay, we know that the sign bit in Mask is set.  Use CLZ to determine
  // the number of identical bits in the top of the input value.
  Mask ^= ~0ULL;
  Mask <<= 64-VTBits;
  // Return # leading zeros.  We use 'min' here in case Val was zero before
  // shifting.  We don't want to return '64' as for an i32 "0".
  return std::min(VTBits, CountLeadingZeros_64(Mask));
}



/// ComputeNumSignBitsForTargetNode - This method can be implemented by
/// targets that want to expose additional information about sign bits to the
/// DAG Combiner.
unsigned TargetLowering::ComputeNumSignBitsForTargetNode(SDOperand Op,
                                                         unsigned Depth) const {
  assert((Op.getOpcode() >= ISD::BUILTIN_OP_END ||
          Op.getOpcode() == ISD::INTRINSIC_WO_CHAIN ||
          Op.getOpcode() == ISD::INTRINSIC_W_CHAIN ||
          Op.getOpcode() == ISD::INTRINSIC_VOID) &&
         "Should use ComputeNumSignBits if you don't know whether Op"
         " is a target node!");
  return 1;
}


SDOperand TargetLowering::
PerformDAGCombine(SDNode *N, DAGCombinerInfo &DCI) const {
  // Default implementation: no optimization.
  return SDOperand();
}

//===----------------------------------------------------------------------===//
//  Inline Assembler Implementation Methods
//===----------------------------------------------------------------------===//

TargetLowering::ConstraintType
TargetLowering::getConstraintType(char ConstraintLetter) const {
  // FIXME: lots more standard ones to handle.
  switch (ConstraintLetter) {
  default: return C_Unknown;
  case 'r': return C_RegisterClass;
  case 'm':    // memory
  case 'o':    // offsetable
  case 'V':    // not offsetable
    return C_Memory;
  case 'i':    // Simple Integer or Relocatable Constant
  case 'n':    // Simple Integer
  case 's':    // Relocatable Constant
  case 'I':    // Target registers.
  case 'J':
  case 'K':
  case 'L':
  case 'M':
  case 'N':
  case 'O':
  case 'P':
    return C_Other;
  }
}

/// isOperandValidForConstraint - Return the specified operand (possibly
/// modified) if the specified SDOperand is valid for the specified target
/// constraint letter, otherwise return null.
SDOperand TargetLowering::isOperandValidForConstraint(SDOperand Op,
                                                      char ConstraintLetter,
                                                      SelectionDAG &DAG) {
  switch (ConstraintLetter) {
  default: return SDOperand(0,0);
  case 'i':    // Simple Integer or Relocatable Constant
  case 'n':    // Simple Integer
  case 's':    // Relocatable Constant
    return Op;   // FIXME: not right.
  }
}

std::vector<unsigned> TargetLowering::
getRegClassForInlineAsmConstraint(const std::string &Constraint,
                                  MVT::ValueType VT) const {
  return std::vector<unsigned>();
}


std::pair<unsigned, const TargetRegisterClass*> TargetLowering::
getRegForInlineAsmConstraint(const std::string &Constraint,
                             MVT::ValueType VT) const {
  if (Constraint[0] != '{')
    return std::pair<unsigned, const TargetRegisterClass*>(0, 0);
  assert(*(Constraint.end()-1) == '}' && "Not a brace enclosed constraint?");

  // Remove the braces from around the name.
  std::string RegName(Constraint.begin()+1, Constraint.end()-1);

  // Figure out which register class contains this reg.
  const MRegisterInfo *RI = TM.getRegisterInfo();
  for (MRegisterInfo::regclass_iterator RCI = RI->regclass_begin(),
       E = RI->regclass_end(); RCI != E; ++RCI) {
    const TargetRegisterClass *RC = *RCI;
    
    // If none of the the value types for this register class are valid, we 
    // can't use it.  For example, 64-bit reg classes on 32-bit targets.
    bool isLegal = false;
    for (TargetRegisterClass::vt_iterator I = RC->vt_begin(), E = RC->vt_end();
         I != E; ++I) {
      if (isTypeLegal(*I)) {
        isLegal = true;
        break;
      }
    }
    
    if (!isLegal) continue;
    
    for (TargetRegisterClass::iterator I = RC->begin(), E = RC->end(); 
         I != E; ++I) {
      if (StringsEqualNoCase(RegName, RI->get(*I).Name))
        return std::make_pair(*I, RC);
    }
  }
  
  return std::pair<unsigned, const TargetRegisterClass*>(0, 0);
}

//===----------------------------------------------------------------------===//
//  Loop Strength Reduction hooks
//===----------------------------------------------------------------------===//

/// isLegalAddressImmediate - Return true if the integer value or
/// GlobalValue can be used as the offset of the target addressing mode.
bool TargetLowering::isLegalAddressImmediate(int64_t V) const {
  return false;
}
bool TargetLowering::isLegalAddressImmediate(GlobalValue *GV) const {
  return false;
}


// Magic for divide replacement

struct ms {
  int64_t m;  // magic number
  int64_t s;  // shift amount
};

struct mu {
  uint64_t m; // magic number
  int64_t a;  // add indicator
  int64_t s;  // shift amount
};

/// magic - calculate the magic numbers required to codegen an integer sdiv as
/// a sequence of multiply and shifts.  Requires that the divisor not be 0, 1,
/// or -1.
static ms magic32(int32_t d) {
  int32_t p;
  uint32_t ad, anc, delta, q1, r1, q2, r2, t;
  const uint32_t two31 = 0x80000000U;
  struct ms mag;
  
  ad = abs(d);
  t = two31 + ((uint32_t)d >> 31);
  anc = t - 1 - t%ad;   // absolute value of nc
  p = 31;               // initialize p
  q1 = two31/anc;       // initialize q1 = 2p/abs(nc)
  r1 = two31 - q1*anc;  // initialize r1 = rem(2p,abs(nc))
  q2 = two31/ad;        // initialize q2 = 2p/abs(d)
  r2 = two31 - q2*ad;   // initialize r2 = rem(2p,abs(d))
  do {
    p = p + 1;
    q1 = 2*q1;        // update q1 = 2p/abs(nc)
    r1 = 2*r1;        // update r1 = rem(2p/abs(nc))
    if (r1 >= anc) {  // must be unsigned comparison
      q1 = q1 + 1;
      r1 = r1 - anc;
    }
    q2 = 2*q2;        // update q2 = 2p/abs(d)
    r2 = 2*r2;        // update r2 = rem(2p/abs(d))
    if (r2 >= ad) {   // must be unsigned comparison
      q2 = q2 + 1;
      r2 = r2 - ad;
    }
    delta = ad - r2;
  } while (q1 < delta || (q1 == delta && r1 == 0));
  
  mag.m = (int32_t)(q2 + 1); // make sure to sign extend
  if (d < 0) mag.m = -mag.m; // resulting magic number
  mag.s = p - 32;            // resulting shift
  return mag;
}

/// magicu - calculate the magic numbers required to codegen an integer udiv as
/// a sequence of multiply, add and shifts.  Requires that the divisor not be 0.
static mu magicu32(uint32_t d) {
  int32_t p;
  uint32_t nc, delta, q1, r1, q2, r2;
  struct mu magu;
  magu.a = 0;               // initialize "add" indicator
  nc = - 1 - (-d)%d;
  p = 31;                   // initialize p
  q1 = 0x80000000/nc;       // initialize q1 = 2p/nc
  r1 = 0x80000000 - q1*nc;  // initialize r1 = rem(2p,nc)
  q2 = 0x7FFFFFFF/d;        // initialize q2 = (2p-1)/d
  r2 = 0x7FFFFFFF - q2*d;   // initialize r2 = rem((2p-1),d)
  do {
    p = p + 1;
    if (r1 >= nc - r1 ) {
      q1 = 2*q1 + 1;  // update q1
      r1 = 2*r1 - nc; // update r1
    }
    else {
      q1 = 2*q1; // update q1
      r1 = 2*r1; // update r1
    }
    if (r2 + 1 >= d - r2) {
      if (q2 >= 0x7FFFFFFF) magu.a = 1;
      q2 = 2*q2 + 1;     // update q2
      r2 = 2*r2 + 1 - d; // update r2
    }
    else {
      if (q2 >= 0x80000000) magu.a = 1;
      q2 = 2*q2;     // update q2
      r2 = 2*r2 + 1; // update r2
    }
    delta = d - 1 - r2;
  } while (p < 64 && (q1 < delta || (q1 == delta && r1 == 0)));
  magu.m = q2 + 1; // resulting magic number
  magu.s = p - 32;  // resulting shift
  return magu;
}

/// magic - calculate the magic numbers required to codegen an integer sdiv as
/// a sequence of multiply and shifts.  Requires that the divisor not be 0, 1,
/// or -1.
static ms magic64(int64_t d) {
  int64_t p;
  uint64_t ad, anc, delta, q1, r1, q2, r2, t;
  const uint64_t two63 = 9223372036854775808ULL; // 2^63
  struct ms mag;
  
  ad = d >= 0 ? d : -d;
  t = two63 + ((uint64_t)d >> 63);
  anc = t - 1 - t%ad;   // absolute value of nc
  p = 63;               // initialize p
  q1 = two63/anc;       // initialize q1 = 2p/abs(nc)
  r1 = two63 - q1*anc;  // initialize r1 = rem(2p,abs(nc))
  q2 = two63/ad;        // initialize q2 = 2p/abs(d)
  r2 = two63 - q2*ad;   // initialize r2 = rem(2p,abs(d))
  do {
    p = p + 1;
    q1 = 2*q1;        // update q1 = 2p/abs(nc)
    r1 = 2*r1;        // update r1 = rem(2p/abs(nc))
    if (r1 >= anc) {  // must be unsigned comparison
      q1 = q1 + 1;
      r1 = r1 - anc;
    }
    q2 = 2*q2;        // update q2 = 2p/abs(d)
    r2 = 2*r2;        // update r2 = rem(2p/abs(d))
    if (r2 >= ad) {   // must be unsigned comparison
      q2 = q2 + 1;
      r2 = r2 - ad;
    }
    delta = ad - r2;
  } while (q1 < delta || (q1 == delta && r1 == 0));
  
  mag.m = q2 + 1;
  if (d < 0) mag.m = -mag.m; // resulting magic number
  mag.s = p - 64;            // resulting shift
  return mag;
}

/// magicu - calculate the magic numbers required to codegen an integer udiv as
/// a sequence of multiply, add and shifts.  Requires that the divisor not be 0.
static mu magicu64(uint64_t d)
{
  int64_t p;
  uint64_t nc, delta, q1, r1, q2, r2;
  struct mu magu;
  magu.a = 0;               // initialize "add" indicator
  nc = - 1 - (-d)%d;
  p = 63;                   // initialize p
  q1 = 0x8000000000000000ull/nc;       // initialize q1 = 2p/nc
  r1 = 0x8000000000000000ull - q1*nc;  // initialize r1 = rem(2p,nc)
  q2 = 0x7FFFFFFFFFFFFFFFull/d;        // initialize q2 = (2p-1)/d
  r2 = 0x7FFFFFFFFFFFFFFFull - q2*d;   // initialize r2 = rem((2p-1),d)
  do {
    p = p + 1;
    if (r1 >= nc - r1 ) {
      q1 = 2*q1 + 1;  // update q1
      r1 = 2*r1 - nc; // update r1
    }
    else {
      q1 = 2*q1; // update q1
      r1 = 2*r1; // update r1
    }
    if (r2 + 1 >= d - r2) {
      if (q2 >= 0x7FFFFFFFFFFFFFFFull) magu.a = 1;
      q2 = 2*q2 + 1;     // update q2
      r2 = 2*r2 + 1 - d; // update r2
    }
    else {
      if (q2 >= 0x8000000000000000ull) magu.a = 1;
      q2 = 2*q2;     // update q2
      r2 = 2*r2 + 1; // update r2
    }
    delta = d - 1 - r2;
  } while (p < 128 && (q1 < delta || (q1 == delta && r1 == 0)));
  magu.m = q2 + 1; // resulting magic number
  magu.s = p - 64;  // resulting shift
  return magu;
}

/// BuildSDIVSequence - Given an ISD::SDIV node expressing a divide by constant,
/// return a DAG expression to select that will generate the same value by
/// multiplying by a magic number.  See:
/// <http://the.wall.riscom.net/books/proc/ppc/cwg/code2.html>
SDOperand TargetLowering::BuildSDIV(SDNode *N, SelectionDAG &DAG, 
				    std::vector<SDNode*>* Created) const {
  MVT::ValueType VT = N->getValueType(0);
  
  // Check to see if we can do this.
  if (!isTypeLegal(VT) || (VT != MVT::i32 && VT != MVT::i64))
    return SDOperand();       // BuildSDIV only operates on i32 or i64
  if (!isOperationLegal(ISD::MULHS, VT))
    return SDOperand();       // Make sure the target supports MULHS.
  
  int64_t d = cast<ConstantSDNode>(N->getOperand(1))->getSignExtended();
  ms magics = (VT == MVT::i32) ? magic32(d) : magic64(d);
  
  // Multiply the numerator (operand 0) by the magic value
  SDOperand Q = DAG.getNode(ISD::MULHS, VT, N->getOperand(0),
                            DAG.getConstant(magics.m, VT));
  // If d > 0 and m < 0, add the numerator
  if (d > 0 && magics.m < 0) { 
    Q = DAG.getNode(ISD::ADD, VT, Q, N->getOperand(0));
    if (Created)
      Created->push_back(Q.Val);
  }
  // If d < 0 and m > 0, subtract the numerator.
  if (d < 0 && magics.m > 0) {
    Q = DAG.getNode(ISD::SUB, VT, Q, N->getOperand(0));
    if (Created)
      Created->push_back(Q.Val);
  }
  // Shift right algebraic if shift value is nonzero
  if (magics.s > 0) {
    Q = DAG.getNode(ISD::SRA, VT, Q, 
                    DAG.getConstant(magics.s, getShiftAmountTy()));
    if (Created)
      Created->push_back(Q.Val);
  }
  // Extract the sign bit and add it to the quotient
  SDOperand T =
    DAG.getNode(ISD::SRL, VT, Q, DAG.getConstant(MVT::getSizeInBits(VT)-1,
                                                 getShiftAmountTy()));
  if (Created)
    Created->push_back(T.Val);
  return DAG.getNode(ISD::ADD, VT, Q, T);
}

/// BuildUDIVSequence - Given an ISD::UDIV node expressing a divide by constant,
/// return a DAG expression to select that will generate the same value by
/// multiplying by a magic number.  See:
/// <http://the.wall.riscom.net/books/proc/ppc/cwg/code2.html>
SDOperand TargetLowering::BuildUDIV(SDNode *N, SelectionDAG &DAG,
				    std::vector<SDNode*>* Created) const {
  MVT::ValueType VT = N->getValueType(0);
  
  // Check to see if we can do this.
  if (!isTypeLegal(VT) || (VT != MVT::i32 && VT != MVT::i64))
    return SDOperand();       // BuildUDIV only operates on i32 or i64
  if (!isOperationLegal(ISD::MULHU, VT))
    return SDOperand();       // Make sure the target supports MULHU.
  
  uint64_t d = cast<ConstantSDNode>(N->getOperand(1))->getValue();
  mu magics = (VT == MVT::i32) ? magicu32(d) : magicu64(d);
  
  // Multiply the numerator (operand 0) by the magic value
  SDOperand Q = DAG.getNode(ISD::MULHU, VT, N->getOperand(0),
                            DAG.getConstant(magics.m, VT));
  if (Created)
    Created->push_back(Q.Val);

  if (magics.a == 0) {
    return DAG.getNode(ISD::SRL, VT, Q, 
                       DAG.getConstant(magics.s, getShiftAmountTy()));
  } else {
    SDOperand NPQ = DAG.getNode(ISD::SUB, VT, N->getOperand(0), Q);
    if (Created)
      Created->push_back(NPQ.Val);
    NPQ = DAG.getNode(ISD::SRL, VT, NPQ, 
                      DAG.getConstant(1, getShiftAmountTy()));
    if (Created)
      Created->push_back(NPQ.Val);
    NPQ = DAG.getNode(ISD::ADD, VT, NPQ, Q);
    if (Created)
      Created->push_back(NPQ.Val);
    return DAG.getNode(ISD::SRL, VT, NPQ, 
                       DAG.getConstant(magics.s-1, getShiftAmountTy()));
  }
}

MVT::ValueType TargetLowering::getValueType(const Type *Ty) const {
  switch (Ty->getTypeID()) {
  default: assert(0 && "Unknown type!");
  case Type::VoidTyID:    return MVT::isVoid;
  case Type::IntegerTyID:
    switch (cast<IntegerType>(Ty)->getBitWidth()) {
      default: assert(0 && "Invalid width for value type");
      case 1:    return MVT::i1;
      case 8:    return MVT::i8;
      case 16:   return MVT::i16;
      case 32:   return MVT::i32;
      case 64:   return MVT::i64;
    }
    break;
  case Type::FloatTyID:   return MVT::f32;
  case Type::DoubleTyID:  return MVT::f64;
  case Type::PointerTyID: return PointerTy;
  case Type::PackedTyID:  return MVT::Vector;
  }
}