src/compiler/translator/IntermNode.cpp

//
// Copyright (c) 2002-2014 The ANGLE Project Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
//

//
// Build the intermediate representation.
//

#include <float.h>
#include <limits.h>
#include <math.h>
#include <stdlib.h>
#include <algorithm>
#include <vector>

#include "common/mathutil.h"
#include "compiler/translator/HashNames.h"
#include "compiler/translator/IntermNode.h"
#include "compiler/translator/SymbolTable.h"

namespace
{

const float kPi = 3.14159265358979323846f;
const float kDegreesToRadiansMultiplier = kPi / 180.0f;
const float kRadiansToDegreesMultiplier = 180.0f / kPi;

TPrecision GetHigherPrecision(TPrecision left, TPrecision right)
{
    return left > right ? left : right;
}

bool ValidateMultiplication(TOperator op, const TType &left, const TType &right)
{
    switch (op)
    {
      case EOpMul:
      case EOpMulAssign:
        return left.getNominalSize() == right.getNominalSize() &&
               left.getSecondarySize() == right.getSecondarySize();
      case EOpVectorTimesScalar:
      case EOpVectorTimesScalarAssign:
        return true;
      case EOpVectorTimesMatrix:
        return left.getNominalSize() == right.getRows();
      case EOpVectorTimesMatrixAssign:
        return left.getNominalSize() == right.getRows() &&
               left.getNominalSize() == right.getCols();
      case EOpMatrixTimesVector:
        return left.getCols() == right.getNominalSize();
      case EOpMatrixTimesScalar:
      case EOpMatrixTimesScalarAssign:
        return true;
      case EOpMatrixTimesMatrix:
        return left.getCols() == right.getRows();
      case EOpMatrixTimesMatrixAssign:
        return left.getCols() == right.getCols() &&
               left.getRows() == right.getRows();

      default:
        UNREACHABLE();
        return false;
    }
}

bool CompareStructure(const TType& leftNodeType,
                      const TConstantUnion *rightUnionArray,
                      const TConstantUnion *leftUnionArray);

bool CompareStruct(const TType &leftNodeType,
                   const TConstantUnion *rightUnionArray,
                   const TConstantUnion *leftUnionArray)
{
    const TFieldList &fields = leftNodeType.getStruct()->fields();

    size_t structSize = fields.size();
    size_t index = 0;

    for (size_t j = 0; j < structSize; j++)
    {
        size_t size = fields[j]->type()->getObjectSize();
        for (size_t i = 0; i < size; i++)
        {
            if (fields[j]->type()->getBasicType() == EbtStruct)
            {
                if (!CompareStructure(*fields[j]->type(),
                                      &rightUnionArray[index],
                                      &leftUnionArray[index]))
                {
                    return false;
                }
            }
            else
            {
                if (leftUnionArray[index] != rightUnionArray[index])
                    return false;
                index++;
            }
        }
    }
    return true;
}

bool CompareStructure(const TType &leftNodeType,
                      const TConstantUnion *rightUnionArray,
                      const TConstantUnion *leftUnionArray)
{
    if (leftNodeType.isArray())
    {
        TType typeWithoutArrayness = leftNodeType;
        typeWithoutArrayness.clearArrayness();

        size_t arraySize = leftNodeType.getArraySize();

        for (size_t i = 0; i < arraySize; ++i)
        {
            size_t offset = typeWithoutArrayness.getObjectSize() * i;
            if (!CompareStruct(typeWithoutArrayness,
                               &rightUnionArray[offset],
                               &leftUnionArray[offset]))
            {
                return false;
            }
        }
    }
    else
    {
        return CompareStruct(leftNodeType, rightUnionArray, leftUnionArray);
    }
    return true;
}

TConstantUnion *Vectorize(const TConstantUnion &constant, size_t size)
{
    TConstantUnion *constUnion = new TConstantUnion[size];
    for (unsigned int i = 0; i < size; ++i)
        constUnion[i] = constant;

    return constUnion;
}

void UndefinedConstantFoldingError(const TSourceLoc &loc, TOperator op, TBasicType basicType,
                                   TInfoSink &infoSink, TConstantUnion *result)
{
    std::stringstream constantFoldingErrorStream;
    constantFoldingErrorStream << "'" << GetOperatorString(op)
                               << "' operation result is undefined for the values passed in";
    infoSink.info.message(EPrefixWarning, loc, constantFoldingErrorStream.str().c_str());

    switch (basicType)
    {
      case EbtFloat :
        result->setFConst(0.0f);
        break;
      case EbtInt:
        result->setIConst(0);
        break;
      case EbtUInt:
        result->setUConst(0u);
        break;
      case EbtBool:
        result->setBConst(false);
        break;
      default:
        break;
    }
}

float VectorLength(TConstantUnion *paramArray, size_t paramArraySize)
{
    float result = 0.0f;
    for (size_t i = 0; i < paramArraySize; i++)
    {
        float f = paramArray[i].getFConst();
        result += f * f;
    }
    return sqrtf(result);
}

float VectorDotProduct(TConstantUnion *paramArray1, TConstantUnion *paramArray2, size_t paramArraySize)
{
    float result = 0.0f;
    for (size_t i = 0; i < paramArraySize; i++)
        result += paramArray1[i].getFConst() * paramArray2[i].getFConst();
    return result;
}

}  // namespace anonymous


////////////////////////////////////////////////////////////////
//
// Member functions of the nodes used for building the tree.
//
////////////////////////////////////////////////////////////////

void TIntermTyped::setTypePreservePrecision(const TType &t)
{
    TPrecision precision = getPrecision();
    mType = t;
    ASSERT(mType.getBasicType() != EbtBool || precision == EbpUndefined);
    mType.setPrecision(precision);
}

#define REPLACE_IF_IS(node, type, original, replacement) \
    if (node == original) { \
        node = static_cast<type *>(replacement); \
        return true; \
    }

bool TIntermLoop::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mInit, TIntermNode, original, replacement);
    REPLACE_IF_IS(mCond, TIntermTyped, original, replacement);
    REPLACE_IF_IS(mExpr, TIntermTyped, original, replacement);
    REPLACE_IF_IS(mBody, TIntermNode, original, replacement);
    return false;
}

bool TIntermBranch::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mExpression, TIntermTyped, original, replacement);
    return false;
}

bool TIntermBinary::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mLeft, TIntermTyped, original, replacement);
    REPLACE_IF_IS(mRight, TIntermTyped, original, replacement);
    return false;
}

bool TIntermUnary::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mOperand, TIntermTyped, original, replacement);
    return false;
}

bool TIntermAggregate::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    for (size_t ii = 0; ii < mSequence.size(); ++ii)
    {
        REPLACE_IF_IS(mSequence[ii], TIntermNode, original, replacement);
    }
    return false;
}

bool TIntermAggregate::replaceChildNodeWithMultiple(TIntermNode *original, TIntermSequence replacements)
{
    for (auto it = mSequence.begin(); it < mSequence.end(); ++it)
    {
        if (*it == original)
        {
            it = mSequence.erase(it);
            mSequence.insert(it, replacements.begin(), replacements.end());
            return true;
        }
    }
    return false;
}

bool TIntermAggregate::insertChildNodes(TIntermSequence::size_type position, TIntermSequence insertions)
{
    TIntermSequence::size_type itPosition = 0;
    for (auto it = mSequence.begin(); it < mSequence.end(); ++it)
    {
        if (itPosition == position)
        {
            mSequence.insert(it, insertions.begin(), insertions.end());
            return true;
        }
        ++itPosition;
    }
    return false;
}

void TIntermAggregate::setPrecisionFromChildren()
{
    if (getBasicType() == EbtBool)
    {
        mType.setPrecision(EbpUndefined);
        return;
    }

    TPrecision precision = EbpUndefined;
    TIntermSequence::iterator childIter = mSequence.begin();
    while (childIter != mSequence.end())
    {
        TIntermTyped *typed = (*childIter)->getAsTyped();
        if (typed)
            precision = GetHigherPrecision(typed->getPrecision(), precision);
        ++childIter;
    }
    mType.setPrecision(precision);
}

void TIntermAggregate::setBuiltInFunctionPrecision()
{
    // All built-ins returning bool should be handled as ops, not functions.
    ASSERT(getBasicType() != EbtBool);

    TPrecision precision = EbpUndefined;
    TIntermSequence::iterator childIter = mSequence.begin();
    while (childIter != mSequence.end())
    {
        TIntermTyped *typed = (*childIter)->getAsTyped();
        // ESSL spec section 8: texture functions get their precision from the sampler.
        if (typed && IsSampler(typed->getBasicType()))
        {
            precision = typed->getPrecision();
            break;
        }
        ++childIter;
    }
    // ESSL 3.0 spec section 8: textureSize always gets highp precision.
    // All other functions that take a sampler are assumed to be texture functions.
    if (mName.find("textureSize") == 0)
        mType.setPrecision(EbpHigh);
    else
        mType.setPrecision(precision);
}

bool TIntermSelection::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mCondition, TIntermTyped, original, replacement);
    REPLACE_IF_IS(mTrueBlock, TIntermNode, original, replacement);
    REPLACE_IF_IS(mFalseBlock, TIntermNode, original, replacement);
    return false;
}

bool TIntermSwitch::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mInit, TIntermTyped, original, replacement);
    REPLACE_IF_IS(mStatementList, TIntermAggregate, original, replacement);
    return false;
}

bool TIntermCase::replaceChildNode(
    TIntermNode *original, TIntermNode *replacement)
{
    REPLACE_IF_IS(mCondition, TIntermTyped, original, replacement);
    return false;
}

//
// Say whether or not an operation node changes the value of a variable.
//
bool TIntermOperator::isAssignment() const
{
    switch (mOp)
    {
      case EOpPostIncrement:
      case EOpPostDecrement:
      case EOpPreIncrement:
      case EOpPreDecrement:
      case EOpAssign:
      case EOpAddAssign:
      case EOpSubAssign:
      case EOpMulAssign:
      case EOpVectorTimesMatrixAssign:
      case EOpVectorTimesScalarAssign:
      case EOpMatrixTimesScalarAssign:
      case EOpMatrixTimesMatrixAssign:
      case EOpDivAssign:
      case EOpIModAssign:
      case EOpBitShiftLeftAssign:
      case EOpBitShiftRightAssign:
      case EOpBitwiseAndAssign:
      case EOpBitwiseXorAssign:
      case EOpBitwiseOrAssign:
        return true;
      default:
        return false;
    }
}

bool TIntermOperator::isMultiplication() const
{
    switch (mOp)
    {
      case EOpMul:
      case EOpMatrixTimesMatrix:
      case EOpMatrixTimesVector:
      case EOpMatrixTimesScalar:
      case EOpVectorTimesMatrix:
      case EOpVectorTimesScalar:
        return true;
      default:
        return false;
    }
}

//
// returns true if the operator is for one of the constructors
//
bool TIntermOperator::isConstructor() const
{
    switch (mOp)
    {
      case EOpConstructVec2:
      case EOpConstructVec3:
      case EOpConstructVec4:
      case EOpConstructMat2:
      case EOpConstructMat3:
      case EOpConstructMat4:
      case EOpConstructFloat:
      case EOpConstructIVec2:
      case EOpConstructIVec3:
      case EOpConstructIVec4:
      case EOpConstructInt:
      case EOpConstructUVec2:
      case EOpConstructUVec3:
      case EOpConstructUVec4:
      case EOpConstructUInt:
      case EOpConstructBVec2:
      case EOpConstructBVec3:
      case EOpConstructBVec4:
      case EOpConstructBool:
      case EOpConstructStruct:
        return true;
      default:
        return false;
    }
}

//
// Make sure the type of a unary operator is appropriate for its
// combination of operation and operand type.
//
void TIntermUnary::promote(const TType *funcReturnType)
{
    switch (mOp)
    {
      case EOpFloatBitsToInt:
      case EOpFloatBitsToUint:
      case EOpIntBitsToFloat:
      case EOpUintBitsToFloat:
      case EOpPackSnorm2x16:
      case EOpPackUnorm2x16:
      case EOpPackHalf2x16:
      case EOpUnpackSnorm2x16:
      case EOpUnpackUnorm2x16:
        mType.setPrecision(EbpHigh);
        break;
      case EOpUnpackHalf2x16:
        mType.setPrecision(EbpMedium);
        break;
      default:
        setType(mOperand->getType());
    }

    if (funcReturnType != nullptr)
    {
        if (funcReturnType->getBasicType() == EbtBool)
        {
            // Bool types should not have precision.
            setType(*funcReturnType);
        }
        else
        {
            // Precision of the node has been set based on the operand.
            setTypePreservePrecision(*funcReturnType);
        }
    }

    mType.setQualifier(EvqTemporary);
}

//
// Establishes the type of the resultant operation, as well as
// makes the operator the correct one for the operands.
//
// For lots of operations it should already be established that the operand
// combination is valid, but returns false if operator can't work on operands.
//
bool TIntermBinary::promote(TInfoSink &infoSink)
{
    ASSERT(mLeft->isArray() == mRight->isArray());

    //
    // Base assumption:  just make the type the same as the left
    // operand.  Then only deviations from this need be coded.
    //
    setType(mLeft->getType());

    // The result gets promoted to the highest precision.
    TPrecision higherPrecision = GetHigherPrecision(
        mLeft->getPrecision(), mRight->getPrecision());
    getTypePointer()->setPrecision(higherPrecision);

    // Binary operations results in temporary variables unless both
    // operands are const.
    if (mLeft->getQualifier() != EvqConst || mRight->getQualifier() != EvqConst)
    {
        getTypePointer()->setQualifier(EvqTemporary);
    }

    const int nominalSize =
        std::max(mLeft->getNominalSize(), mRight->getNominalSize());

    //
    // All scalars or structs. Code after this test assumes this case is removed!
    //
    if (nominalSize == 1)
    {
        switch (mOp)
        {
          //
          // Promote to conditional
          //
          case EOpEqual:
          case EOpNotEqual:
          case EOpLessThan:
          case EOpGreaterThan:
          case EOpLessThanEqual:
          case EOpGreaterThanEqual:
            setType(TType(EbtBool, EbpUndefined));
            break;

          //
          // And and Or operate on conditionals
          //
          case EOpLogicalAnd:
          case EOpLogicalXor:
          case EOpLogicalOr:
            ASSERT(mLeft->getBasicType() == EbtBool && mRight->getBasicType() == EbtBool);
            setType(TType(EbtBool, EbpUndefined));
            break;

          default:
            break;
        }
        return true;
    }

    // If we reach here, at least one of the operands is vector or matrix.
    // The other operand could be a scalar, vector, or matrix.
    // Can these two operands be combined?
    //
    TBasicType basicType = mLeft->getBasicType();
    switch (mOp)
    {
      case EOpMul:
        if (!mLeft->isMatrix() && mRight->isMatrix())
        {
            if (mLeft->isVector())
            {
                mOp = EOpVectorTimesMatrix;
                setType(TType(basicType, higherPrecision, EvqTemporary,
                              static_cast<unsigned char>(mRight->getCols()), 1));
            }
            else
            {
                mOp = EOpMatrixTimesScalar;
                setType(TType(basicType, higherPrecision, EvqTemporary,
                              static_cast<unsigned char>(mRight->getCols()), static_cast<unsigned char>(mRight->getRows())));
            }
        }
        else if (mLeft->isMatrix() && !mRight->isMatrix())
        {
            if (mRight->isVector())
            {
                mOp = EOpMatrixTimesVector;
                setType(TType(basicType, higherPrecision, EvqTemporary,
                              static_cast<unsigned char>(mLeft->getRows()), 1));
            }
            else
            {
                mOp = EOpMatrixTimesScalar;
            }
        }
        else if (mLeft->isMatrix() && mRight->isMatrix())
        {
            mOp = EOpMatrixTimesMatrix;
            setType(TType(basicType, higherPrecision, EvqTemporary,
                          static_cast<unsigned char>(mRight->getCols()), static_cast<unsigned char>(mLeft->getRows())));
        }
        else if (!mLeft->isMatrix() && !mRight->isMatrix())
        {
            if (mLeft->isVector() && mRight->isVector())
            {
                // leave as component product
            }
            else if (mLeft->isVector() || mRight->isVector())
            {
                mOp = EOpVectorTimesScalar;
                setType(TType(basicType, higherPrecision, EvqTemporary,
                              static_cast<unsigned char>(nominalSize), 1));
            }
        }
        else
        {
            infoSink.info.message(EPrefixInternalError, getLine(),
                                  "Missing elses");
            return false;
        }

        if (!ValidateMultiplication(mOp, mLeft->getType(), mRight->getType()))
        {
            return false;
        }
        break;

      case EOpMulAssign:
        if (!mLeft->isMatrix() && mRight->isMatrix())
        {
            if (mLeft->isVector())
            {
                mOp = EOpVectorTimesMatrixAssign;
            }
            else
            {
                return false;
            }
        }
        else if (mLeft->isMatrix() && !mRight->isMatrix())
        {
            if (mRight->isVector())
            {
                return false;
            }
            else
            {
                mOp = EOpMatrixTimesScalarAssign;
            }
        }
        else if (mLeft->isMatrix() && mRight->isMatrix())
        {
            mOp = EOpMatrixTimesMatrixAssign;
            setType(TType(basicType, higherPrecision, EvqTemporary,
                          static_cast<unsigned char>(mRight->getCols()), static_cast<unsigned char>(mLeft->getRows())));
        }
        else if (!mLeft->isMatrix() && !mRight->isMatrix())
        {
            if (mLeft->isVector() && mRight->isVector())
            {
                // leave as component product
            }
            else if (mLeft->isVector() || mRight->isVector())
            {
                if (!mLeft->isVector())
                    return false;
                mOp = EOpVectorTimesScalarAssign;
                setType(TType(basicType, higherPrecision, EvqTemporary,
                              static_cast<unsigned char>(mLeft->getNominalSize()), 1));
            }
        }
        else
        {
            infoSink.info.message(EPrefixInternalError, getLine(),
                                  "Missing elses");
            return false;
        }

        if (!ValidateMultiplication(mOp, mLeft->getType(), mRight->getType()))
        {
            return false;
        }
        break;

      case EOpAssign:
      case EOpInitialize:
        // No more additional checks are needed.
        ASSERT((mLeft->getNominalSize() == mRight->getNominalSize()) &&
            (mLeft->getSecondarySize() == mRight->getSecondarySize()));
        break;
      case EOpAdd:
      case EOpSub:
      case EOpDiv:
      case EOpIMod:
      case EOpBitShiftLeft:
      case EOpBitShiftRight:
      case EOpBitwiseAnd:
      case EOpBitwiseXor:
      case EOpBitwiseOr:
      case EOpAddAssign:
      case EOpSubAssign:
      case EOpDivAssign:
      case EOpIModAssign:
      case EOpBitShiftLeftAssign:
      case EOpBitShiftRightAssign:
      case EOpBitwiseAndAssign:
      case EOpBitwiseXorAssign:
      case EOpBitwiseOrAssign:
        if ((mLeft->isMatrix() && mRight->isVector()) ||
            (mLeft->isVector() && mRight->isMatrix()))
        {
            return false;
        }

        // Are the sizes compatible?
        if (mLeft->getNominalSize() != mRight->getNominalSize() ||
            mLeft->getSecondarySize() != mRight->getSecondarySize())
        {
            // If the nominal sizes of operands do not match:
            // One of them must be a scalar.
            if (!mLeft->isScalar() && !mRight->isScalar())
                return false;

            // In the case of compound assignment other than multiply-assign,
            // the right side needs to be a scalar. Otherwise a vector/matrix
            // would be assigned to a scalar. A scalar can't be shifted by a
            // vector either.
            if (!mRight->isScalar() &&
                (isAssignment() ||
                mOp == EOpBitShiftLeft ||
                mOp == EOpBitShiftRight))
                return false;
        }

        {
            const int secondarySize = std::max(
                mLeft->getSecondarySize(), mRight->getSecondarySize());
            setType(TType(basicType, higherPrecision, EvqTemporary,
                          static_cast<unsigned char>(nominalSize), static_cast<unsigned char>(secondarySize)));
            if (mLeft->isArray())
            {
                ASSERT(mLeft->getArraySize() == mRight->getArraySize());
                mType.setArraySize(mLeft->getArraySize());
            }
        }
        break;

      case EOpEqual:
      case EOpNotEqual:
      case EOpLessThan:
      case EOpGreaterThan:
      case EOpLessThanEqual:
      case EOpGreaterThanEqual:
        ASSERT((mLeft->getNominalSize() == mRight->getNominalSize()) &&
            (mLeft->getSecondarySize() == mRight->getSecondarySize()));
        setType(TType(EbtBool, EbpUndefined));
        break;

      default:
        return false;
    }
    return true;
}

TIntermTyped *TIntermBinary::fold(TInfoSink &infoSink)
{
    TIntermConstantUnion *leftConstant = mLeft->getAsConstantUnion();
    TIntermConstantUnion *rightConstant = mRight->getAsConstantUnion();
    if (leftConstant == nullptr || rightConstant == nullptr)
    {
        return nullptr;
    }
    TConstantUnion *constArray = leftConstant->foldBinary(mOp, rightConstant, infoSink);
    if (constArray == nullptr)
    {
        return nullptr;
    }
    TIntermTyped *folded = new TIntermConstantUnion(constArray, getType());
    folded->getTypePointer()->setQualifier(EvqConst);
    folded->setLine(getLine());
    return folded;
}

TIntermTyped *TIntermUnary::fold(TInfoSink &infoSink)
{
    TIntermConstantUnion *operandConstant = mOperand->getAsConstantUnion();
    if (operandConstant == nullptr)
    {
        return nullptr;
    }
    TConstantUnion *constArray = operandConstant->foldUnary(mOp, infoSink);
    if (constArray == nullptr)
    {
        return nullptr;
    }
    TIntermTyped *folded = new TIntermConstantUnion(constArray, getType());
    folded->getTypePointer()->setQualifier(EvqConst);
    folded->setLine(getLine());
    return folded;
}

//
// The fold functions see if an operation on a constant can be done in place,
// without generating run-time code.
//
// Returns the constant value to keep using or nullptr.
//
TConstantUnion *TIntermConstantUnion::foldBinary(TOperator op, TIntermConstantUnion *rightNode, TInfoSink &infoSink)
{
    TConstantUnion *leftArray = getUnionArrayPointer();
    TConstantUnion *rightArray = rightNode->getUnionArrayPointer();

    if (!leftArray)
        return nullptr;
    if (!rightArray)
        return nullptr;

    size_t objectSize = getType().getObjectSize();

    // for a case like float f = vec4(2, 3, 4, 5) + 1.2;
    if (rightNode->getType().getObjectSize() == 1 && objectSize > 1)
    {
        rightArray = Vectorize(*rightNode->getUnionArrayPointer(), objectSize);
    }
    else if (rightNode->getType().getObjectSize() > 1 && objectSize == 1)
    {
        // for a case like float f = 1.2 + vec4(2, 3, 4, 5);
        leftArray = Vectorize(*getUnionArrayPointer(), rightNode->getType().getObjectSize());
        objectSize = rightNode->getType().getObjectSize();
    }

    TConstantUnion *resultArray = nullptr;

    switch(op)
    {
      case EOpAdd:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] + rightArray[i];
        break;
      case EOpSub:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] - rightArray[i];
        break;

      case EOpMul:
      case EOpVectorTimesScalar:
      case EOpMatrixTimesScalar:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] * rightArray[i];
        break;

      case EOpMatrixTimesMatrix:
        {
            if (getType().getBasicType() != EbtFloat ||
                rightNode->getBasicType() != EbtFloat)
            {
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Constant Folding cannot be done for matrix multiply");
                return nullptr;
            }

            const int leftCols = getCols();
            const int leftRows = getRows();
            const int rightCols = rightNode->getType().getCols();
            const int rightRows = rightNode->getType().getRows();
            const int resultCols = rightCols;
            const int resultRows = leftRows;

            resultArray = new TConstantUnion[resultCols * resultRows];
            for (int row = 0; row < resultRows; row++)
            {
                for (int column = 0; column < resultCols; column++)
                {
                    resultArray[resultRows * column + row].setFConst(0.0f);
                    for (int i = 0; i < leftCols; i++)
                    {
                        resultArray[resultRows * column + row].setFConst(
                            resultArray[resultRows * column + row].getFConst() +
                            leftArray[i * leftRows + row].getFConst() *
                            rightArray[column * rightRows + i].getFConst());
                    }
                }
            }
        }
        break;

      case EOpDiv:
      case EOpIMod:
        {
            resultArray = new TConstantUnion[objectSize];
            for (size_t i = 0; i < objectSize; i++)
            {
                switch (getType().getBasicType())
                {
                  case EbtFloat:
                    if (rightArray[i] == 0.0f)
                    {
                        infoSink.info.message(EPrefixWarning, getLine(),
                                              "Divide by zero error during constant folding");
                        resultArray[i].setFConst(leftArray[i].getFConst() < 0 ? -FLT_MAX : FLT_MAX);
                    }
                    else
                    {
                        ASSERT(op == EOpDiv);
                        resultArray[i].setFConst(leftArray[i].getFConst() / rightArray[i].getFConst());
                    }
                    break;

                  case EbtInt:
                    if (rightArray[i] == 0)
                    {
                        infoSink.info.message(EPrefixWarning, getLine(),
                                              "Divide by zero error during constant folding");
                        resultArray[i].setIConst(INT_MAX);
                    }
                    else
                    {
                        if (op == EOpDiv)
                        {
                            resultArray[i].setIConst(leftArray[i].getIConst() / rightArray[i].getIConst());
                        }
                        else
                        {
                            ASSERT(op == EOpIMod);
                            resultArray[i].setIConst(leftArray[i].getIConst() % rightArray[i].getIConst());
                        }
                    }
                    break;

                  case EbtUInt:
                    if (rightArray[i] == 0)
                    {
                        infoSink.info.message(EPrefixWarning, getLine(),
                                              "Divide by zero error during constant folding");
                        resultArray[i].setUConst(UINT_MAX);
                    }
                    else
                    {
                        if (op == EOpDiv)
                        {
                            resultArray[i].setUConst(leftArray[i].getUConst() / rightArray[i].getUConst());
                        }
                        else
                        {
                            ASSERT(op == EOpIMod);
                            resultArray[i].setUConst(leftArray[i].getUConst() % rightArray[i].getUConst());
                        }
                    }
                    break;

                  default:
                    infoSink.info.message(EPrefixInternalError, getLine(),
                                          "Constant folding cannot be done for \"/\"");
                    return nullptr;
                }
            }
        }
        break;

      case EOpMatrixTimesVector:
        {
            if (rightNode->getBasicType() != EbtFloat)
            {
                infoSink.info.message(EPrefixInternalError, getLine(),
                                      "Constant Folding cannot be done for matrix times vector");
                return nullptr;
            }

            const int matrixCols = getCols();
            const int matrixRows = getRows();

            resultArray = new TConstantUnion[matrixRows];

            for (int matrixRow = 0; matrixRow < matrixRows; matrixRow++)
            {
                resultArray[matrixRow].setFConst(0.0f);
                for (int col = 0; col < matrixCols; col++)
                {
                    resultArray[matrixRow].setFConst(resultArray[matrixRow].getFConst() +
                                                     leftArray[col * matrixRows + matrixRow].getFConst() *
                                                     rightArray[col].getFConst());
                }
            }
        }
        break;

      case EOpVectorTimesMatrix:
        {
            if (getType().getBasicType() != EbtFloat)
            {
                infoSink.info.message(EPrefixInternalError, getLine(),
                                      "Constant Folding cannot be done for vector times matrix");
                return nullptr;
            }

            const int matrixCols = rightNode->getType().getCols();
            const int matrixRows = rightNode->getType().getRows();

            resultArray = new TConstantUnion[matrixCols];

            for (int matrixCol = 0; matrixCol < matrixCols; matrixCol++)
            {
                resultArray[matrixCol].setFConst(0.0f);
                for (int matrixRow = 0; matrixRow < matrixRows; matrixRow++)
                {
                    resultArray[matrixCol].setFConst(resultArray[matrixCol].getFConst() +
                                                     leftArray[matrixRow].getFConst() *
                                                     rightArray[matrixCol * matrixRows + matrixRow].getFConst());
                }
            }
        }
        break;

      case EOpLogicalAnd:
        {
            resultArray = new TConstantUnion[objectSize];
            for (size_t i = 0; i < objectSize; i++)
            {
                resultArray[i] = leftArray[i] && rightArray[i];
            }
        }
        break;

      case EOpLogicalOr:
        {
            resultArray = new TConstantUnion[objectSize];
            for (size_t i = 0; i < objectSize; i++)
            {
                resultArray[i] = leftArray[i] || rightArray[i];
            }
        }
        break;

      case EOpLogicalXor:
        {
            resultArray = new TConstantUnion[objectSize];
            for (size_t i = 0; i < objectSize; i++)
            {
                switch (getType().getBasicType())
                {
                  case EbtBool:
                    resultArray[i].setBConst(leftArray[i] != rightArray[i]);
                    break;
                  default:
                    UNREACHABLE();
                    break;
                }
            }
        }
        break;

      case EOpBitwiseAnd:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] & rightArray[i];
        break;
      case EOpBitwiseXor:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] ^ rightArray[i];
        break;
      case EOpBitwiseOr:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] | rightArray[i];
        break;
      case EOpBitShiftLeft:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] << rightArray[i];
        break;
      case EOpBitShiftRight:
        resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
            resultArray[i] = leftArray[i] >> rightArray[i];
        break;

      case EOpLessThan:
        ASSERT(objectSize == 1);
        resultArray = new TConstantUnion[1];
        resultArray->setBConst(*leftArray < *rightArray);
        break;

      case EOpGreaterThan:
        ASSERT(objectSize == 1);
        resultArray = new TConstantUnion[1];
        resultArray->setBConst(*leftArray > *rightArray);
        break;

      case EOpLessThanEqual:
        ASSERT(objectSize == 1);
        resultArray = new TConstantUnion[1];
        resultArray->setBConst(!(*leftArray > *rightArray));
        break;

      case EOpGreaterThanEqual:
        ASSERT(objectSize == 1);
        resultArray = new TConstantUnion[1];
        resultArray->setBConst(!(*leftArray < *rightArray));
        break;

      case EOpEqual:
      case EOpNotEqual:
        {
            resultArray = new TConstantUnion[1];
            bool equal = true;
            if (getType().getBasicType() == EbtStruct)
            {
                equal = CompareStructure(getType(), rightArray, leftArray);
            }
            else
            {
                for (size_t i = 0; i < objectSize; i++)
                {
                    if (leftArray[i] != rightArray[i])
                    {
                        equal = false;
                        break;  // break out of for loop
                    }
                }
            }
            if (op == EOpEqual)
            {
                resultArray->setBConst(equal);
            }
            else
            {
                resultArray->setBConst(!equal);
            }
        }
        break;

      default:
        infoSink.info.message(
            EPrefixInternalError, getLine(),
            "Invalid operator for constant folding");
        return nullptr;
    }
    return resultArray;
}

//
// The fold functions see if an operation on a constant can be done in place,
// without generating run-time code.
//
// Returns the constant value to keep using or nullptr.
//
TConstantUnion *TIntermConstantUnion::foldUnary(TOperator op, TInfoSink &infoSink)
{
    TConstantUnion *operandArray = getUnionArrayPointer();

    if (!operandArray)
        return nullptr;

    size_t objectSize = getType().getObjectSize();

    if (op == EOpAny || op == EOpAll || op == EOpLength)
    {
        // Do operations where the return type has a different number of components compared to the operand type.
        TConstantUnion *resultArray = nullptr;

        switch (op)
        {
          case EOpAny:
            if (getType().getBasicType() == EbtBool)
            {
                resultArray = new TConstantUnion();
                resultArray->setBConst(false);
                for (size_t i = 0; i < objectSize; i++)
                {
                    if (operandArray[i].getBConst())
                    {
                        resultArray->setBConst(true);
                        break;
                    }
                }
                break;
            }
            else
            {
                infoSink.info.message(EPrefixInternalError, getLine(), "Unary operation not folded into constant");
                return nullptr;
            }

          case EOpAll:
            if (getType().getBasicType() == EbtBool)
            {
                resultArray = new TConstantUnion();
                resultArray->setBConst(true);
                for (size_t i = 0; i < objectSize; i++)
                {
                    if (!operandArray[i].getBConst())
                    {
                        resultArray->setBConst(false);
                        break;
                    }
                }
                break;
            }
            else
            {
                infoSink.info.message(EPrefixInternalError, getLine(), "Unary operation not folded into constant");
                return nullptr;
            }

          case EOpLength:
            if (getType().getBasicType() == EbtFloat)
            {
                resultArray = new TConstantUnion();
                resultArray->setFConst(VectorLength(operandArray, objectSize));
                break;
            }
            else
            {
                infoSink.info.message(EPrefixInternalError, getLine(), "Unary operation not folded into constant");
                return nullptr;
            }

          default:
            break;
        }

        return resultArray;
    }
    else
    {
        //
        // Do unary operations where the return type is the same as operand type.
        //
        TConstantUnion *resultArray = new TConstantUnion[objectSize];
        for (size_t i = 0; i < objectSize; i++)
        {
            switch(op)
            {
              case EOpNegative:
                switch (getType().getBasicType())
                {
                  case EbtFloat:
                    resultArray[i].setFConst(-operandArray[i].getFConst());
                    break;
                  case EbtInt:
                    resultArray[i].setIConst(-operandArray[i].getIConst());
                    break;
                  case EbtUInt:
                    resultArray[i].setUConst(static_cast<unsigned int>(
                        -static_cast<int>(operandArray[i].getUConst())));
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpPositive:
                switch (getType().getBasicType())
                {
                  case EbtFloat:
                    resultArray[i].setFConst(operandArray[i].getFConst());
                    break;
                  case EbtInt:
                    resultArray[i].setIConst(operandArray[i].getIConst());
                    break;
                  case EbtUInt:
                    resultArray[i].setUConst(static_cast<unsigned int>(
                        static_cast<int>(operandArray[i].getUConst())));
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpLogicalNot:
                // this code is written for possible future use,
                // will not get executed currently
                switch (getType().getBasicType())
                {
                  case EbtBool:
                    resultArray[i].setBConst(!operandArray[i].getBConst());
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpBitwiseNot:
                switch (getType().getBasicType())
                {
                  case EbtInt:
                    resultArray[i].setIConst(~operandArray[i].getIConst());
                    break;
                  case EbtUInt:
                    resultArray[i].setUConst(~operandArray[i].getUConst());
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpRadians:
                if (getType().getBasicType() == EbtFloat)
                {
                    resultArray[i].setFConst(kDegreesToRadiansMultiplier * operandArray[i].getFConst());
                    break;
                }
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Unary operation not folded into constant");
                return nullptr;

              case EOpDegrees:
                if (getType().getBasicType() == EbtFloat)
                {
                    resultArray[i].setFConst(kRadiansToDegreesMultiplier * operandArray[i].getFConst());
                    break;
                }
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Unary operation not folded into constant");
                return nullptr;

              case EOpSin:
                if (!foldFloatTypeUnary(operandArray[i], &sinf, infoSink, &resultArray[i]))
                   return nullptr;
                break;

              case EOpCos:
                if (!foldFloatTypeUnary(operandArray[i], &cosf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpTan:
                if (!foldFloatTypeUnary(operandArray[i], &tanf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAsin:
                // For asin(x), results are undefined if |x| > 1, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && fabsf(operandArray[i].getFConst()) > 1.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &asinf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAcos:
                // For acos(x), results are undefined if |x| > 1, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && fabsf(operandArray[i].getFConst()) > 1.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &acosf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAtan:
                if (!foldFloatTypeUnary(operandArray[i], &atanf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpSinh:
                if (!foldFloatTypeUnary(operandArray[i], &sinhf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpCosh:
                if (!foldFloatTypeUnary(operandArray[i], &coshf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpTanh:
                if (!foldFloatTypeUnary(operandArray[i], &tanhf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAsinh:
                if (!foldFloatTypeUnary(operandArray[i], &asinhf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAcosh:
                // For acosh(x), results are undefined if x < 1, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && operandArray[i].getFConst() < 1.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &acoshf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAtanh:
                // For atanh(x), results are undefined if |x| >= 1, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && fabsf(operandArray[i].getFConst()) >= 1.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &atanhf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpAbs:
                switch (getType().getBasicType())
                {
                  case EbtFloat:
                    resultArray[i].setFConst(fabsf(operandArray[i].getFConst()));
                    break;
                  case EbtInt:
                    resultArray[i].setIConst(abs(operandArray[i].getIConst()));
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpSign:
                switch (getType().getBasicType())
                {
                  case EbtFloat:
                    {
                        float fConst = operandArray[i].getFConst();
                        float fResult = 0.0f;
                        if (fConst > 0.0f)
                            fResult = 1.0f;
                        else if (fConst < 0.0f)
                            fResult = -1.0f;
                        resultArray[i].setFConst(fResult);
                    }
                    break;
                  case EbtInt:
                    {
                        int iConst = operandArray[i].getIConst();
                        int iResult = 0;
                        if (iConst > 0)
                            iResult = 1;
                        else if (iConst < 0)
                            iResult = -1;
                        resultArray[i].setIConst(iResult);
                    }
                    break;
                  default:
                    infoSink.info.message(
                        EPrefixInternalError, getLine(),
                        "Unary operation not folded into constant");
                    return nullptr;
                }
                break;

              case EOpFloor:
                if (!foldFloatTypeUnary(operandArray[i], &floorf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpTrunc:
                if (!foldFloatTypeUnary(operandArray[i], &truncf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpRound:
                if (!foldFloatTypeUnary(operandArray[i], &roundf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpRoundEven:
                if (getType().getBasicType() == EbtFloat)
                {
                    float x = operandArray[i].getFConst();
                    float result;
                    float fractPart = modff(x, &result);
                    if (fabsf(fractPart) == 0.5f)
                        result = 2.0f * roundf(x / 2.0f);
                    else
                        result = roundf(x);
                    resultArray[i].setFConst(result);
                    break;
                }
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Unary operation not folded into constant");
                return nullptr;

              case EOpCeil:
                if (!foldFloatTypeUnary(operandArray[i], &ceilf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpFract:
                if (getType().getBasicType() == EbtFloat)
                {
                    float x = operandArray[i].getFConst();
                    resultArray[i].setFConst(x - floorf(x));
                    break;
                }
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Unary operation not folded into constant");
                return nullptr;

              case EOpExp:
                if (!foldFloatTypeUnary(operandArray[i], &expf, infoSink, &resultArray[i]))
                  return nullptr;
                break;

              case EOpLog:
                // For log(x), results are undefined if x <= 0, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && operandArray[i].getFConst() <= 0.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &logf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpExp2:
                if (!foldFloatTypeUnary(operandArray[i], &exp2f, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpLog2:
                // For log2(x), results are undefined if x <= 0, we are choosing to set result to 0.
                // And log2f is not available on some plarforms like old android, so just using log(x)/log(2) here.
                if (getType().getBasicType() == EbtFloat && operandArray[i].getFConst() <= 0.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &logf, infoSink, &resultArray[i]))
                    return nullptr;
                else
                    resultArray[i].setFConst(resultArray[i].getFConst() / logf(2.0f));
                break;

              case EOpSqrt:
                // For sqrt(x), results are undefined if x < 0, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && operandArray[i].getFConst() < 0.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &sqrtf, infoSink, &resultArray[i]))
                    return nullptr;
                break;

              case EOpInverseSqrt:
                // There is no stdlib built-in function equavalent for GLES built-in inversesqrt(),
                // so getting the square root first using builtin function sqrt() and then taking its inverse.
                // Also, for inversesqrt(x), results are undefined if x <= 0, we are choosing to set result to 0.
                if (getType().getBasicType() == EbtFloat && operandArray[i].getFConst() <= 0.0f)
                    UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink, &resultArray[i]);
                else if (!foldFloatTypeUnary(operandArray[i], &sqrtf, infoSink, &resultArray[i]))
                    return nullptr;
                else
                    resultArray[i].setFConst(1.0f / resultArray[i].getFConst());
                break;

              case EOpVectorLogicalNot:
                if (getType().getBasicType() == EbtBool)
                {
                    resultArray[i].setBConst(!operandArray[i].getBConst());
                    break;
                }
                infoSink.info.message(
                    EPrefixInternalError, getLine(),
                    "Unary operation not folded into constant");
                return nullptr;

              case EOpNormalize:
                if (getType().getBasicType() == EbtFloat)
                {
                    float x = operandArray[i].getFConst();
                    float length = VectorLength(operandArray, objectSize);
                    if (length)
                        resultArray[i].setFConst(x / length);
                    else
                        UndefinedConstantFoldingError(getLine(), op, getType().getBasicType(), infoSink,
                                                      &resultArray[i]);
                    break;
                }
                infoSink.info.message(EPrefixInternalError, getLine(), "Unary operation not folded into constant");
                return nullptr;

              default:
                return nullptr;
            }
        }
        return resultArray;
    }
}

bool TIntermConstantUnion::foldFloatTypeUnary(const TConstantUnion &parameter, FloatTypeUnaryFunc builtinFunc,
                                              TInfoSink &infoSink, TConstantUnion *result) const
{
    ASSERT(builtinFunc);

    if (getType().getBasicType() == EbtFloat)
    {
        result->setFConst(builtinFunc(parameter.getFConst()));
        return true;
    }

    infoSink.info.message(
        EPrefixInternalError, getLine(),
        "Unary operation not folded into constant");
    return false;
}

// static
TIntermTyped *TIntermConstantUnion::FoldAggregateBuiltIn(TOperator op, TIntermAggregate *aggregate, TInfoSink &infoSink)
{
    TIntermSequence *sequence = aggregate->getSequence();
    unsigned int paramsCount = sequence->size();
    std::vector<TConstantUnion *> unionArrays(paramsCount);
    std::vector<size_t> objectSizes(paramsCount);
    TType *maxSizeType = nullptr;
    TBasicType basicType = EbtVoid;
    TSourceLoc loc;
    for (unsigned int i = 0; i < paramsCount; i++)
    {
        TIntermConstantUnion *paramConstant = (*sequence)[i]->getAsConstantUnion();
        // Make sure that all params are constant before actual constant folding.
        if (!paramConstant)
            return nullptr;

        if (i == 0)
        {
            basicType = paramConstant->getType().getBasicType();
            loc = paramConstant->getLine();
        }
        unionArrays[i] = paramConstant->getUnionArrayPointer();
        objectSizes[i] = paramConstant->getType().getObjectSize();
        if (maxSizeType == nullptr || (objectSizes[i] >= maxSizeType->getObjectSize()))
            maxSizeType = paramConstant->getTypePointer();
    }

    size_t maxObjectSize = maxSizeType->getObjectSize();
    for (unsigned int i = 0; i < paramsCount; i++)
        if (objectSizes[i] != maxObjectSize)
            unionArrays[i] = Vectorize(*unionArrays[i], maxObjectSize);

    TConstantUnion *tempConstArray = nullptr;
    TIntermConstantUnion *tempNode = nullptr;
    TType returnType = *maxSizeType;
    if (paramsCount == 2)
    {
        //
        // Binary built-in
        //
        switch (op)
        {
          case EOpAtan:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                    {
                        float y = unionArrays[0][i].getFConst();
                        float x = unionArrays[1][i].getFConst();
                        // Results are undefined if x and y are both 0.
                        if (x == 0.0f && y == 0.0f)
                            UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                        else
                            tempConstArray[i].setFConst(atan2f(y, x));
                    }
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpPow:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                    {
                        float x = unionArrays[0][i].getFConst();
                        float y = unionArrays[1][i].getFConst();
                        // Results are undefined if x < 0.
                        // Results are undefined if x = 0 and y <= 0.
                        if (x < 0.0f)
                            UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                        else if (x == 0.0f && y <= 0.0f)
                            UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                        else
                            tempConstArray[i].setFConst(powf(x, y));
                    }
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpMod:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                    {
                        float x = unionArrays[0][i].getFConst();
                        float y = unionArrays[1][i].getFConst();
                        tempConstArray[i].setFConst(x - y * floorf(x / y));
                    }
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpMin:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setFConst(std::min(unionArrays[0][i].getFConst(), unionArrays[1][i].getFConst()));
                        break;
                      case EbtInt:
                        tempConstArray[i].setIConst(std::min(unionArrays[0][i].getIConst(), unionArrays[1][i].getIConst()));
                        break;
                      case EbtUInt:
                        tempConstArray[i].setUConst(std::min(unionArrays[0][i].getUConst(), unionArrays[1][i].getUConst()));
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpMax:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setFConst(std::max(unionArrays[0][i].getFConst(), unionArrays[1][i].getFConst()));
                        break;
                      case EbtInt:
                        tempConstArray[i].setIConst(std::max(unionArrays[0][i].getIConst(), unionArrays[1][i].getIConst()));
                        break;
                      case EbtUInt:
                        tempConstArray[i].setUConst(std::max(unionArrays[0][i].getUConst(), unionArrays[1][i].getUConst()));
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpStep:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                        tempConstArray[i].setFConst(unionArrays[1][i].getFConst() < unionArrays[0][i].getFConst() ? 0.0f : 1.0f);
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpLessThan:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() < unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() < unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() < unionArrays[1][i].getUConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpLessThanEqual:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() <= unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() <= unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() <= unionArrays[1][i].getUConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpGreaterThan:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() > unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() > unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() > unionArrays[1][i].getUConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                  }
              }
            }
            break;

          case EOpGreaterThanEqual:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() >= unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() >= unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() >= unionArrays[1][i].getUConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpVectorEqual:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() == unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() == unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() == unionArrays[1][i].getUConst());
                        break;
                      case EbtBool:
                        tempConstArray[i].setBConst(unionArrays[0][i].getBConst() == unionArrays[1][i].getBConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpVectorNotEqual:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        tempConstArray[i].setBConst(unionArrays[0][i].getFConst() != unionArrays[1][i].getFConst());
                        break;
                      case EbtInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getIConst() != unionArrays[1][i].getIConst());
                        break;
                      case EbtUInt:
                        tempConstArray[i].setBConst(unionArrays[0][i].getUConst() != unionArrays[1][i].getUConst());
                        break;
                      case EbtBool:
                        tempConstArray[i].setBConst(unionArrays[0][i].getBConst() != unionArrays[1][i].getBConst());
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpDistance:
            if (basicType == EbtFloat)
            {
                TConstantUnion *distanceArray = new TConstantUnion[maxObjectSize];
                tempConstArray = new TConstantUnion();
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    float x = unionArrays[0][i].getFConst();
                    float y = unionArrays[1][i].getFConst();
                    distanceArray[i].setFConst(x - y);
                }
                tempConstArray->setFConst(VectorLength(distanceArray, maxObjectSize));
            }
            else
                UNREACHABLE();
            break;

          case EOpDot:
            if (basicType == EbtFloat)
            {
                tempConstArray = new TConstantUnion();
                tempConstArray->setFConst(VectorDotProduct(unionArrays[0], unionArrays[1], maxObjectSize));
            }
            else
                UNREACHABLE();
            break;

          case EOpCross:
            if (basicType == EbtFloat && maxObjectSize == 3)
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                float x0 = unionArrays[0][0].getFConst();
                float x1 = unionArrays[0][1].getFConst();
                float x2 = unionArrays[0][2].getFConst();
                float y0 = unionArrays[1][0].getFConst();
                float y1 = unionArrays[1][1].getFConst();
                float y2 = unionArrays[1][2].getFConst();
                tempConstArray[0].setFConst(x1 * y2 - y1 * x2);
                tempConstArray[1].setFConst(x2 * y0 - y2 * x0);
                tempConstArray[2].setFConst(x0 * y1 - y0 * x1);
            }
            else
                UNREACHABLE();
            break;

          case EOpReflect:
            if (basicType == EbtFloat)
            {
                // genType reflect (genType I, genType N) :
                //     For the incident vector I and surface orientation N, returns the reflection direction:
                //     I - 2 * dot(N, I) * N.
                tempConstArray = new TConstantUnion[maxObjectSize];
                float dotProduct = VectorDotProduct(unionArrays[1], unionArrays[0], maxObjectSize);
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    float result = unionArrays[0][i].getFConst() -
                                   2.0f * dotProduct * unionArrays[1][i].getFConst();
                    tempConstArray[i].setFConst(result);
                }
            }
            else
                UNREACHABLE();
            break;

          default:
            UNREACHABLE();
            // TODO: Add constant folding support for other built-in operations that take 2 parameters and not handled above.
            return nullptr;
        }
    }
    else if (paramsCount == 3)
    {
        //
        // Ternary built-in
        //
        switch (op)
        {
          case EOpClamp:
            {
                tempConstArray = new TConstantUnion[maxObjectSize];
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    switch (basicType)
                    {
                      case EbtFloat:
                        {
                            float x = unionArrays[0][i].getFConst();
                            float min = unionArrays[1][i].getFConst();
                            float max = unionArrays[2][i].getFConst();
                            // Results are undefined if min > max.
                            if (min > max)
                                UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                            else
                                tempConstArray[i].setFConst(gl::clamp(x, min, max));
                        }
                        break;
                      case EbtInt:
                        {
                            int x = unionArrays[0][i].getIConst();
                            int min = unionArrays[1][i].getIConst();
                            int max = unionArrays[2][i].getIConst();
                            // Results are undefined if min > max.
                            if (min > max)
                                UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                            else
                                tempConstArray[i].setIConst(gl::clamp(x, min, max));
                        }
                        break;
                      case EbtUInt:
                        {
                            unsigned int x = unionArrays[0][i].getUConst();
                            unsigned int min = unionArrays[1][i].getUConst();
                            unsigned int max = unionArrays[2][i].getUConst();
                            // Results are undefined if min > max.
                            if (min > max)
                                UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                            else
                                tempConstArray[i].setUConst(gl::clamp(x, min, max));
                        }
                        break;
                      default:
                        UNREACHABLE();
                        break;
                    }
                }
            }
            break;

          case EOpMix:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                    {
                        float x = unionArrays[0][i].getFConst();
                        float y = unionArrays[1][i].getFConst();
                        TBasicType type = (*sequence)[2]->getAsTyped()->getType().getBasicType();
                        if (type == EbtFloat)
                        {
                            // Returns the linear blend of x and y, i.e., x * (1 - a) + y * a.
                            float a = unionArrays[2][i].getFConst();
                            tempConstArray[i].setFConst(x * (1.0f - a) + y * a);
                        }
                        else // 3rd parameter is EbtBool
                        {
                            ASSERT(type == EbtBool);
                            // Selects which vector each returned component comes from.
                            // For a component of a that is false, the corresponding component of x is returned.
                            // For a component of a that is true, the corresponding component of y is returned.
                            bool a = unionArrays[2][i].getBConst();
                            tempConstArray[i].setFConst(a ? y : x);
                        }
                    }
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpSmoothStep:
            {
                if (basicType == EbtFloat)
                {
                    tempConstArray = new TConstantUnion[maxObjectSize];
                    for (size_t i = 0; i < maxObjectSize; i++)
                    {
                        float edge0 = unionArrays[0][i].getFConst();
                        float edge1 = unionArrays[1][i].getFConst();
                        float x = unionArrays[2][i].getFConst();
                        // Results are undefined if edge0 >= edge1.
                        if (edge0 >= edge1)
                        {
                            UndefinedConstantFoldingError(loc, op, basicType, infoSink, &tempConstArray[i]);
                        }
                        else
                        {
                            // Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and performs smooth
                            // Hermite interpolation between 0 and 1 when edge0 < x < edge1.
                            float t = gl::clamp((x - edge0) / (edge1 - edge0), 0.0f, 1.0f);
                            tempConstArray[i].setFConst(t * t * (3.0f - 2.0f * t));
                        }
                    }
                }
                else
                    UNREACHABLE();
            }
            break;

          case EOpFaceForward:
            if (basicType == EbtFloat)
            {
                // genType faceforward(genType N, genType I, genType Nref) :
                //     If dot(Nref, I) < 0 return N, otherwise return -N.
                tempConstArray = new TConstantUnion[maxObjectSize];
                float dotProduct = VectorDotProduct(unionArrays[2], unionArrays[1], maxObjectSize);
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    if (dotProduct < 0)
                        tempConstArray[i].setFConst(unionArrays[0][i].getFConst());
                    else
                        tempConstArray[i].setFConst(-unionArrays[0][i].getFConst());
                }
            }
            else
                UNREACHABLE();
            break;

          case EOpRefract:
            if (basicType == EbtFloat)
            {
                // genType refract(genType I, genType N, float eta) :
                //     For the incident vector I and surface normal N, and the ratio of indices of refraction eta,
                //     return the refraction vector. The result is computed by
                //         k = 1.0 - eta * eta * (1.0 - dot(N, I) * dot(N, I))
                //         if (k < 0.0)
                //             return genType(0.0)
                //         else
                //             return eta * I - (eta * dot(N, I) + sqrt(k)) * N
                tempConstArray = new TConstantUnion[maxObjectSize];
                float dotProduct = VectorDotProduct(unionArrays[1], unionArrays[0], maxObjectSize);
                for (size_t i = 0; i < maxObjectSize; i++)
                {
                    float eta = unionArrays[2][i].getFConst();
                    float k = 1.0f - eta * eta * (1.0f - dotProduct * dotProduct);
                    if (k < 0.0f)
                        tempConstArray[i].setFConst(0.0f);
                    else
                        tempConstArray[i].setFConst(eta * unionArrays[0][i].getFConst() -
                                                    (eta * dotProduct + sqrtf(k)) * unionArrays[1][i].getFConst());
                }
            }
            else
                UNREACHABLE();
            break;

          default:
            UNREACHABLE();
            // TODO: Add constant folding support for other built-in operations that take 3 parameters and not handled above.
            return nullptr;
        }
    }

    if (tempConstArray)
    {
        tempNode = new TIntermConstantUnion(tempConstArray, returnType);
        tempNode->setLine(loc);
    }
    return tempNode;
}

// static
TString TIntermTraverser::hash(const TString &name, ShHashFunction64 hashFunction)
{
    if (hashFunction == NULL || name.empty())
        return name;
    khronos_uint64_t number = (*hashFunction)(name.c_str(), name.length());
    TStringStream stream;
    stream << HASHED_NAME_PREFIX << std::hex << number;
    TString hashedName = stream.str();
    return hashedName;
}

void TIntermTraverser::updateTree()
{
    for (size_t ii = 0; ii < mInsertions.size(); ++ii)
    {
        const NodeInsertMultipleEntry &insertion = mInsertions[ii];
        ASSERT(insertion.parent);
        bool inserted = insertion.parent->insertChildNodes(insertion.position, insertion.insertions);
        ASSERT(inserted);
        UNUSED_ASSERTION_VARIABLE(inserted);
    }
    for (size_t ii = 0; ii < mReplacements.size(); ++ii)
    {
        const NodeUpdateEntry &replacement = mReplacements[ii];
        ASSERT(replacement.parent);
        bool replaced = replacement.parent->replaceChildNode(
            replacement.original, replacement.replacement);
        ASSERT(replaced);
        UNUSED_ASSERTION_VARIABLE(replaced);

        if (!replacement.originalBecomesChildOfReplacement)
        {
            // In AST traversing, a parent is visited before its children.
            // After we replace a node, if its immediate child is to
            // be replaced, we need to make sure we don't update the replaced
            // node; instead, we update the replacement node.
            for (size_t jj = ii + 1; jj < mReplacements.size(); ++jj)
            {
                NodeUpdateEntry &replacement2 = mReplacements[jj];
                if (replacement2.parent == replacement.original)
                    replacement2.parent = replacement.replacement;
            }
        }
    }
    for (size_t ii = 0; ii < mMultiReplacements.size(); ++ii)
    {
        const NodeReplaceWithMultipleEntry &replacement = mMultiReplacements[ii];
        ASSERT(replacement.parent);
        bool replaced = replacement.parent->replaceChildNodeWithMultiple(
            replacement.original, replacement.replacements);
        ASSERT(replaced);
        UNUSED_ASSERTION_VARIABLE(replaced);
    }

    mInsertions.clear();
    mReplacements.clear();
    mMultiReplacements.clear();
}