Package net.sf.farrago.fennel.calc

Source Code of net.sf.farrago.fennel.calc.CalcRexImplementorTableImpl$DatetimeRoundingImplementor

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// or more contributor license agreements.  See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership.  DynamoBI licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License.  You may obtain a copy of the License at

//   http://www.apache.org/licenses/LICENSE-2.0

// Unless required by applicable law or agreed to in writing,
// software distributed under the License is distributed on an
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// KIND, either express or implied.  See the License for the
// specific language governing permissions and limitations
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package net.sf.farrago.fennel.calc;

import java.math.*;

import java.util.*;

import net.sf.farrago.fennel.calc.CalcProgramBuilder.*;

import org.eigenbase.reltype.*;
import org.eigenbase.rex.*;
import org.eigenbase.sql.*;
import org.eigenbase.sql.fun.*;
import org.eigenbase.sql.type.*;
import org.eigenbase.util.*;
import org.eigenbase.util14.*;


/**
* Implementation of {@link CalcRexImplementorTable}, containing implementations
* for all standard functions.
*
* @author jhyde
* @version $Id$
* @since June 2nd, 2004
*/
public class CalcRexImplementorTableImpl
    implements CalcRexImplementorTable
{
    //~ Static fields/initializers ---------------------------------------------

    protected static final SqlStdOperatorTable opTab =
        SqlStdOperatorTable.instance();
    private static final CalcRexImplementorTableImpl std =
        new CalcRexImplementorTableImpl(null).initStandard();

    //~ Instance fields --------------------------------------------------------

    /**
     * Parent implementor table, may be null.
     */
    private final CalcRexImplementorTable parent;

    /**
     * Maps {@link SqlOperator} to {@link CalcRexImplementor}.
     */
    private final Map<SqlOperator, CalcRexImplementor>
        operatorImplementationMap =
            new HashMap<SqlOperator, CalcRexImplementor>();

    /**
     * Maps {@link SqlAggFunction} to {@link CalcRexAggImplementor}.
     */
    private final Map<SqlAggFunction, CalcRexAggImplementor>
        aggImplementationMap =
            new HashMap<SqlAggFunction, CalcRexAggImplementor>();

    //~ Constructors -----------------------------------------------------------

    /**
     * Creates an empty table which delegates to another table.
     *
     * @see #std
     */
    public CalcRexImplementorTableImpl(CalcRexImplementorTable parent)
    {
        this.parent = parent;
    }

    //~ Methods ----------------------------------------------------------------

    /**
     * Returns the table of implementations of all of the standard SQL functions
     * and operators.
     */
    public static CalcRexImplementorTable std()
    {
        return std;
    }

    /**
     * Registers an operator and its implementor.
     *
     * <p>It is an error if the operator already has an implementor. But if the
     * operator has an implementor in a parent table, it is simply overridden.
     *
     * @pre op != null
     * @pre impl != null
     * @pre !operatorImplementationMap.containsKey(op)
     */
    public void register(
        SqlOperator op,
        CalcRexImplementor impl)
    {
        Util.pre(op != null, "op != null");
        Util.pre(impl != null, "impl != null");
        Util.pre(
            !operatorImplementationMap.containsKey(op),
            "!operatorImplementationMap.containsKey(op)");
        operatorImplementationMap.put(op, impl);
    }

    /**
     * Registers an operator which is implemented in a trivial way by a single
     * calculator instruction.
     *
     * @pre op != null
     * @pre instrDef != null
     */
    protected void registerInstr(
        SqlOperator op,
        CalcProgramBuilder.InstructionDef instrDef)
    {
        Util.pre(instrDef != null, "instrDef != null");
        register(
            op,
            new InstrDefImplementor(instrDef));
    }

    /**
     * Registers an aggregate function and its implementor.
     *
     * <p>It is an error if the aggregate function already has an implementor.
     * But if the operator has an implementor in a parent table, it is simply
     * overridden.
     *
     * @pre op != null
     * @pre impl != null
     * @pre !operatorImplementationMap.containsKey(op)
     */
    public void registerAgg(
        SqlAggFunction agg,
        CalcRexAggImplementor impl)
    {
        Util.pre(agg != null, "agg != null");
        Util.pre(impl != null, "impl != null");
        Util.pre(
            !aggImplementationMap.containsKey(agg),
            "!aggImplementationMap.containsKey(op)");
        aggImplementationMap.put(agg, impl);
    }

    // implement CalcRexImplementorTable
    public CalcRexImplementor get(SqlOperator op)
    {
        CalcRexImplementor implementor = operatorImplementationMap.get(op);
        if ((implementor == null) && (parent != null)) {
            implementor = parent.get(op);
        }
        return implementor;
    }

    public CalcRexAggImplementor getAgg(SqlAggFunction op)
    {
        CalcRexAggImplementor implementor = aggImplementationMap.get(op);
        if ((implementor == null) && (parent != null)) {
            implementor = parent.getAgg(op);
        }
        return implementor;
    }

    // helper methods

    /**
     * Creates a register to hold the result of a call.
     *
     * @param translator Translator
     * @param call Call
     *
     * @return A register
     */
    protected static CalcReg createResultRegister(
        RexToCalcTranslator translator,
        RexCall call)
    {
        CalcProgramBuilder.RegisterDescriptor resultDesc =
            translator.getCalcRegisterDescriptor(call);
        return translator.builder.newLocal(resultDesc);
    }

    /**
     * Implements all operands to a call, and returns a list of the registers
     * which hold the results.
     *
     * @post return != null
     */
    protected static List<CalcReg> implementOperands(
        RexCall call,
        RexToCalcTranslator translator)
    {
        return implementOperands(call, 0, call.operands.length, translator);
    }

    /**
     * Implements all operands to a call between start (inclusive) and stop
     * (exclusive), and returns a list of the registers which hold the results.
     *
     * @post return != null
     */
    protected static List<CalcReg> implementOperands(
        RexCall call,
        int start,
        int stop,
        RexToCalcTranslator translator)
    {
        List<CalcReg> regList = new ArrayList<CalcReg>();
        for (int i = start; i < stop; i++) {
            RexNode operand = call.operands[i];
            CalcReg reg = translator.implementNode(operand);
            regList.add(reg);
        }
        return regList;
    }

    /**
     * Implements a call by invoking a given instruction.
     *
     * @param instr Instruction
     * @param translator Translator
     * @param call Call to translate
     *
     * @return Register which contains result, never null
     */
    private static CalcReg implementUsingInstr(
        CalcProgramBuilder.InstructionDef instr,
        RexToCalcTranslator translator,
        RexCall call)
    {
        CalcReg [] regs = new CalcReg[call.operands.length + 1];

        for (int i = 0; i < call.operands.length; i++) {
            RexNode operand = call.operands[i];
            regs[i + 1] = translator.implementNode(operand);
        }

        regs[0] = createResultRegister(translator, call);

        instr.add(translator.builder, regs);
        return regs[0];
    }

    /**
     * Converts a binary call (two regs as operands) by converting the first
     * operand to type {@link CalcProgramBuilder.OpType#Int8} for exact types
     * and {@link CalcProgramBuilder.OpType#Double} for approximate types and
     * then back again. Logically it will do something like<br>
     * t0 = type of first operand<br>
     * CAST(CALL(CAST(op0 as INT8), op1) as t0)<br>
     * If t0 is not a numeric or is already is INT8 or DOUBLE, the CALL is
     * simply returned as is.
     */
    private static RexCall implementFirstOperandWithDoubleOrInt8(
        RexCall call,
        RexToCalcTranslator translator,
        RexNode typeNode,
        int i,
        boolean castBack)
    {
        CalcProgramBuilder.RegisterDescriptor rd =
            translator.getCalcRegisterDescriptor(typeNode);
        if (rd.getType().isExact()) {
            return implementFirstOperandWithInt8(
                call,
                translator,
                typeNode,
                i,
                castBack);
        } else if (rd.getType().isApprox()) {
            return implementFirstOperandWithDouble(
                call,
                translator,
                typeNode,
                i,
                castBack);
        }

        return call;
    }

    /**
     * Converts a binary call (two regs as operands) by converting the first
     * operand to type {@link CalcProgramBuilder.OpType#Int8} if needed and then
     * back again. Logically it will do something like<br>
     * t0 = type of first operand<br>
     * CAST(CALL(CAST(op0 as INT8), op1) as t0)<br>
     * If t0 is not an exact type or is already is INT8, the CALL is simply
     * returned as is.
     */
    private static RexCall implementFirstOperandWithInt8(
        RexCall call,
        RexToCalcTranslator translator,
        RexNode typeNode,
        int i,
        boolean castBack)
    {
        CalcProgramBuilder.RegisterDescriptor rd =
            translator.getCalcRegisterDescriptor(typeNode);
        if (rd.getType().isExact()
            && !rd.getType().equals(CalcProgramBuilder.OpType.Int8))
        {
            RelDataType oldType = typeNode.getType();
            RelDataTypeFactory fac = translator.rexBuilder.getTypeFactory();

            //todo do a reverse lookup on OpType.Int8 instead
            RelDataType int8 = fac.createSqlType(SqlTypeName.BIGINT);
            RexNode castCall1 =
                translator.rexBuilder.makeCast(int8, call.operands[i]);

            RexNode newCall;
            if (SqlStdOperatorTable.castFunc.equals(call.getOperator())) {
                newCall =
                    translator.rexBuilder.makeCast(
                        call.getType(),
                        castCall1);
            } else {
                RexNode [] args = new RexNode[call.operands.length];
                System.arraycopy(
                    call.operands,
                    0,
                    args,
                    0,
                    call.operands.length);
                args[i] = castCall1;
                newCall =
                    translator.rexBuilder.makeCall(
                        call.getOperator(),
                        args);
            }

            if (castBack) {
                newCall = translator.rexBuilder.makeCast(oldType, newCall);
            }
            return (RexCall) newCall;
        }
        return call;
    }

    /**
     * Same as {@link #implementFirstOperandWithInt8} but with {@link
     * CalcProgramBuilder.OpType#Double} instead TODO need to abstract and merge
     * functionality with {@link #implementFirstOperandWithInt8} since they both
     * contain nearly the same code
     */
    private static RexCall implementFirstOperandWithDouble(
        RexCall call,
        RexToCalcTranslator translator,
        RexNode typeNode,
        int i,
        boolean castBack)
    {
        //TODO this method needs cleanup, it contains redundant code
        CalcProgramBuilder.RegisterDescriptor rd =
            translator.getCalcRegisterDescriptor(typeNode);
        if (rd.getType().isApprox()
            && !rd.getType().equals(CalcProgramBuilder.OpType.Double))
        {
            RelDataType oldType = typeNode.getType();
            RelDataTypeFactory fac = translator.rexBuilder.getTypeFactory();

            //todo do a reverse lookup on OpType.Double instead
            RelDataType db = fac.createSqlType(SqlTypeName.DOUBLE);
            RexNode castCall1 =
                translator.rexBuilder.makeCast(db, call.operands[i]);

            RexNode newCall;
            if (SqlStdOperatorTable.castFunc.equals(call.getOperator())) {
                newCall =
                    translator.rexBuilder.makeCast(
                        call.getType(),
                        castCall1);
            } else {
                RexNode [] args = new RexNode[call.operands.length];
                System.arraycopy(
                    call.operands,
                    0,
                    args,
                    0,
                    call.operands.length);
                args[i] = castCall1;
                newCall =
                    translator.rexBuilder.makeCall(
                        call.getOperator(),
                        args);
            }

            if (castBack) {
                newCall = translator.rexBuilder.makeCast(oldType, newCall);
            }
            return (RexCall) newCall;
        }
        return call;
    }

    /**
     * Registers the standard set of functions.
     */
    private CalcRexImplementorTableImpl initStandard()
    {
        register(
            SqlStdOperatorTable.absFunc,
            new InstrDefImplementor(ExtInstructionDefTable.abs) {
                public CalcReg implement(
                    RexCall call,
                    RexToCalcTranslator translator)
                {
                    RexCall newCall =
                        implementFirstOperandWithDoubleOrInt8(
                            call,
                            translator,
                            call.operands[0],
                            0,
                            true);
                    if (newCall.equals(call)) {
                        return super.implement(call, translator);
                    }
                    return translator.implementNode(newCall);
                }
            });

        register(
            SqlStdOperatorTable.plusOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.nativeAdd));

        registerInstr(
            SqlStdOperatorTable.andOperator,
            CalcProgramBuilder.integralNativeAnd);

        register(
            SqlStdOperatorTable.divideOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.nativeDiv));

        register(
            SqlStdOperatorTable.divideIntegerOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.nativeDiv));

        register(
            SqlStdOperatorTable.caseOperator,
            new CaseImplementor());

        register(
            SqlStdOperatorTable.castFunc,
            CastImplementor.instance);

        if (false) {
            // TODO eventually need an extra argument for charset, in which
            // case we will use the following code
            register(
                SqlStdOperatorTable.characterLengthFunc,
                new AddCharSetNameInstrImplementor("CHAR_LENGTH", -1, 3));
        } else {
            registerInstr(
                SqlStdOperatorTable.characterLengthFunc,
                ExtInstructionDefTable.charLength);
        }

        // CHAR_LENGTH shares CHARACTER_LENGTH's implementation.
        // TODO: Combine the CHAR_LENGTH and CHARACTER_LENGTH at the
        //   RexNode level (they should remain separate functions at the
        //   SqlNode level).
        register(
            SqlStdOperatorTable.charLengthFunc,
            get(SqlStdOperatorTable.characterLengthFunc));

        register(
            SqlStdOperatorTable.concatOperator,
            new ConcatImplementor());

        register(
            SqlStdOperatorTable.equalsOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeEqual));

        register(
            SqlStdOperatorTable.greaterThanOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeGreaterThan));

        register(
            SqlStdOperatorTable.greaterThanOrEqualOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeGreaterOrEqualThan));

        register(
            SqlStdOperatorTable.inFennelFunc,
            new IdentityImplementor());

        registerInstr(
            SqlStdOperatorTable.isNullOperator,
            CalcProgramBuilder.boolNativeIsNull);

        registerInstr(
            SqlStdOperatorTable.isNotNullOperator,
            CalcProgramBuilder.boolNativeIsNotNull);

        register(
            SqlStdOperatorTable.isTrueOperator,
            new IsBoolImplementor(true));

        register(
            SqlStdOperatorTable.isNotTrueOperator,
            new IsNotBoolImplementor(true));

        register(
            SqlStdOperatorTable.isFalseOperator,
            new IsBoolImplementor(false));

        register(
            SqlStdOperatorTable.isNotFalseOperator,
            new IsNotBoolImplementor(false));

        register(
            SqlStdOperatorTable.lessThanOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeLessThan));

        register(
            SqlStdOperatorTable.lessThanOrEqualOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeLessOrEqualThan));

        registerInstr(
            SqlStdOperatorTable.likeOperator,
            ExtInstructionDefTable.like);

        register(
            SqlStdOperatorTable.lnFunc,
            new MakeOperandsDoubleImplementor(ExtInstructionDefTable.log));

        register(
            SqlStdOperatorTable.log10Func,
            new MakeOperandsDoubleImplementor(ExtInstructionDefTable.log10));

        // TODO: need to know charset as well. When ready,
        // use same construct as with CHAR_LENGTH above
        registerInstr(
            SqlStdOperatorTable.lowerFunc,
            ExtInstructionDefTable.lower);

        register(
            SqlStdOperatorTable.minusOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.nativeMinus));

        register(
            SqlStdOperatorTable.minusDateOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.nativeMinus));

        register(
            SqlStdOperatorTable.modFunc,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.integralNativeMod,
                true));

        register(
            SqlStdOperatorTable.multiplyOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.integralNativeMul));

        register(
            SqlStdOperatorTable.notEqualsOperator,
            new BinaryNumericMakeSametypeImplementor(
                CalcProgramBuilder.boolNativeNotEqual));

        // todo: optimization. If using 'NOT' in front of 'IS NULL',
        // create a call to the calc instruction 'ISNOTNULL'
        registerInstr(
            SqlStdOperatorTable.notOperator,
            CalcProgramBuilder.boolNot);

        registerInstr(
            SqlStdOperatorTable.orOperator,
            CalcProgramBuilder.boolOr);

        register(
            SqlStdOperatorTable.overlayFunc,
            new BinaryStringMakeSametypeImplementor(
                ExtInstructionDefTable.overlay));

        register(
            SqlStdOperatorTable.positionFunc,
            new BinaryStringMakeSametypeImplementor(
                ExtInstructionDefTable.position));

        register(
            SqlStdOperatorTable.powerFunc,
            new MakeOperandsDoubleImplementor(ExtInstructionDefTable.pow));

        registerInstr(
            SqlStdOperatorTable.prefixMinusOperator,
            CalcProgramBuilder.nativeNeg);

        register(
            SqlStdOperatorTable.reinterpretOperator,
            new ReinterpretCastImplementor());

        registerInstr(
            SqlStdOperatorTable.similarOperator,
            ExtInstructionDefTable.similar);

        registerInstr(
            SqlStdOperatorTable.substringFunc,
            ExtInstructionDefTable.substring);

        registerInstr(
            SqlStdOperatorTable.throwOperator,
            CalcProgramBuilder.raise);

        register(
            SqlStdOperatorTable.trimFunc,
            new TrimImplementor());

        // TODO: need to know charset aswell. When ready,
        // use same construct as with CHAR_LENGTH above
        registerInstr(
            SqlStdOperatorTable.upperFunc,
            ExtInstructionDefTable.upper);

        register(
            SqlStdOperatorTable.localTimeFunc,
            new TimeFunctionImplementor());

        register(
            SqlStdOperatorTable.localTimestampFunc,
            new TimeFunctionImplementor());

        register(
            SqlStdOperatorTable.currentTimeFunc,
            new TimeFunctionImplementor());

        register(
            SqlStdOperatorTable.currentTimestampFunc,
            new TimeFunctionImplementor());

        register(
            SqlStdOperatorTable.sliceOp,
            new SliceImplementor());

        // Register agg functions.
        registerAgg(
            SqlStdOperatorTable.sumOperator,
            new SumCalcRexImplementor());
        registerAgg(
            SqlStdOperatorTable.countOperator,
            new CountCalcRexImplementor());
        registerAgg(
            SqlStdOperatorTable.minOperator,
            new MinMaxCalcRexImplementor(SqlStdOperatorTable.minOperator));
        registerAgg(
            SqlStdOperatorTable.maxOperator,
            new MinMaxCalcRexImplementor(SqlStdOperatorTable.maxOperator));
        registerAgg(
            SqlStdOperatorTable.firstValueOperator,
            new FirstValueCalcRexImplementor());
        registerAgg(
            SqlStdOperatorTable.lastValueOperator,
            new LastValueCalcRexImplementor());

        // Register histogram and related functions required to make min and
        // max work over windows.
        registerAgg(
            SqlStdOperatorTable.histogramAggFunction,
            new HistogramAggRexImplementor());
        register(
            SqlStdOperatorTable.histogramMinFunction,
            new HistogramResultRexImplementor(
                SqlStdOperatorTable.minOperator));
        register(
            SqlStdOperatorTable.histogramMaxFunction,
            new HistogramResultRexImplementor(
                SqlStdOperatorTable.maxOperator));
        register(
            SqlStdOperatorTable.histogramFirstValueFunction,
            new HistogramResultRexImplementor(
                SqlStdOperatorTable.firstValueOperator));
        register(
            SqlStdOperatorTable.histogramLastValueFunction,
            new HistogramResultRexImplementor(
                SqlStdOperatorTable.lastValueOperator));
        registerAgg(
            SqlStdOperatorTable.sumEmptyIsZeroOperator,
            new SumEmptyIsZeroCalcRexImplementor());

        return this;
    }

    /**
     * Generates code to round 'operand' to the precision in 'toType', if
     * necessary.
     *
     * <p>Rounding is to a multiple of 10 ^ (3 - precision), according to the
     * {@link RoundingMode} strategy of the <code>roundingMode</code> parameter.
     *
     * <p>If the result has the same or more precision, generates no code.
     *
     * @param inReg Register holding input value
     * @param roundingMode Rounding mode; one of {@link RoundingMode#FLOOR},
     * {@link RoundingMode#HALF_UP}, {@link RoundingMode#DOWN}.
     * @param toType Desired target type
     * @param fromPrecision Precision of the input value
     * @param translator Translator
     *
     * @return Result register after applying rounding
     */
    private static CalcReg implementRounding(
        CalcReg inReg,
        RoundingMode roundingMode,
        RelDataType toType,
        int fromPrecision,
        RexToCalcTranslator translator)
    {
        if (!toType.getSqlTypeName().allowsPrec()) {
            return inReg;
        }
        if (toType.getPrecision() >= fromPrecision) {
            return inReg;
        }

        // Figure out alpha - the smallest value at this rounding level.
        // For example, alpha is 1000ms for TIME(0), etc.
        // Achieve rounding by adding .5 * alpha before truncating.
        // The modulo operator returns negative results when applied to
        // negative values, so we need to handle those differently.
        //

        long alpha;
        switch (toType.getPrecision()) {
        case 0:
            alpha = 1000;
            break;
        case 1:
            alpha = 100;
            break;
        case 2:
            alpha = 10;
            break;
        default:
            alpha = 1;
        }
        return implementRounding(
            alpha,
            roundingMode,
            inReg,
            toType,
            translator);
    }

    /**
     * Generates code to round a value to a multiple of a given multipler.
     *
     * <p>Supports rounding modes .
     *
     * @param alpha The multiplier to round to
     * @param roundingMode Rounding mode; one of {@link RoundingMode#FLOOR},
     * {@link RoundingMode#HALF_UP}, {@link RoundingMode#DOWN}.
     * @param inReg Register holding input value
     * @param toType Type to convert to
     * @param translator Translator
     *
     * @return Register containing rounded result
     */
    private static CalcReg implementRounding(
        long alpha,
        RoundingMode roundingMode,
        CalcReg inReg,
        RelDataType toType,
        RexToCalcTranslator translator)
    {
        if (alpha == 0) {
            throw Util.newInternal("divide by zero");
        }

        // If multiplier is one, nothing to do.
        if (alpha == 1) {
            return inReg;
        }

        CalcReg alphaReg;
        CalcReg modReg;
        CalcReg resReg;
        CalcReg ltReg;
        CalcReg zeroReg;
        CalcReg yReg;
        String negLabel;
        String resultLabel;

        CalcProgramBuilder.RegisterDescriptor resultDesc =
            translator.getCalcRegisterDescriptor(toType);
        switch (roundingMode) {
        case HALF_UP:
            // Code generated for HALF_UP:
            //
            //                          34567 -34567
            //                         ====== ======
            //   alpha := 1000
            //   halfAlpha := 500
            //   mod := y % alpha          67    -67
            //   if mod < 0 goto neg    false   true
            //   y := in + halfAlpha    35067
            //   goto result
            // neg:
            //   y := in - halfAlpha          -35067
            // result:
            //   res := y - mod         35000 -35000
            CalcReg halfAlphaReg =
                translator.builder.newInt8Literal(alpha / 2L);
            yReg = translator.builder.newLocal(resultDesc);
            ltReg =
                translator.builder.newLocal(
                    CalcProgramBuilder.OpType.Bool,
                    -1);
            zeroReg = translator.builder.newInt8Literal(0);
            CalcProgramBuilder.boolLessThan.add(
                translator.builder,
                ltReg,
                inReg,
                zeroReg);
            negLabel = translator.newLabel();
            translator.builder.addLabelJumpTrue(negLabel, ltReg);

            // arithmetic for zero and positive values
            CalcProgramBuilder.nativeAdd.add(
                translator.builder,
                yReg,
                inReg,
                halfAlphaReg);
            resultLabel = translator.newLabel();
            translator.builder.addLabelJump(resultLabel);

            // arithmetic for negative values
            translator.builder.addLabel(negLabel);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                yReg,
                inReg,
                halfAlphaReg);

            // form the result
            translator.builder.addLabel(resultLabel);
            modReg = translator.builder.newLocal(resultDesc);
            alphaReg = translator.builder.newInt8Literal(alpha);
            CalcProgramBuilder.integralNativeMod.add(
                translator.builder,
                modReg,
                yReg,
                alphaReg);
            resReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                resReg,
                yReg,
                modReg);
            return resReg;
        case DOWN:
            // Code generated for DOWN:
            //
            //                          34567 -34567
            //                         ====== ======
            //   alpha := 1000
            //   mod := in % alpha        567   -567
            //   res := in - mod        34000 -34000
            alphaReg = translator.builder.newInt8Literal(alpha);
            modReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.integralNativeMod.add(
                translator.builder,
                modReg,
                inReg,
                alphaReg);
            resReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                resReg,
                inReg,
                modReg);
            return resReg;
        case FLOOR:
            // Code generated for FLOOR:
            //
            //                          34567 -34567 -34000
            //                         ====== ====== ======
            //   alpha := 1000
            //   mod := in % alpha        567   -567      0
            //   if mod < 0 goto neg    false   true  false
            //   y := in                34567
            //   goto result
            // neg:
            //   y := in - alpha              -35567
            // result:
            //   res := in - mod        34000 -35000  -34000
            alphaReg = translator.builder.newInt8Literal(alpha);
            modReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.integralNativeMod.add(
                translator.builder,
                modReg,
                inReg,
                alphaReg);
            ltReg =
                translator.builder.newLocal(
                    CalcProgramBuilder.OpType.Bool,
                    -1);
            zeroReg = translator.builder.newInt8Literal(0);
            CalcProgramBuilder.boolLessThan.add(
                translator.builder,
                ltReg,
                modReg,
                zeroReg);
            yReg = translator.builder.newLocal(resultDesc);
            negLabel = translator.newLabel();
            translator.builder.addLabelJumpTrue(negLabel, ltReg);

            // arithmetic for zero and positive values
            CalcProgramBuilder.move.add(
                translator.builder,
                yReg,
                inReg);
            resultLabel = translator.newLabel();
            translator.builder.addLabelJump(resultLabel);

            // arithmetic for negative modulo values
            translator.builder.addLabel(negLabel);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                yReg,
                inReg,
                alphaReg);

            // form the result
            translator.builder.addLabel(resultLabel);
            resReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                resReg,
                inReg,
                modReg);
            return resReg;
        default:
            throw Util.unexpected(roundingMode);
        }
    }

    //~ Inner Classes ----------------------------------------------------------

    /**
     * Abstract base class for classes which implement {@link
     * CalcRexImplementor}.
     */
    public abstract static class AbstractCalcRexImplementor
        implements CalcRexImplementor
    {
        public boolean canImplement(RexCall call)
        {
            if (RexUtil.requiresDecimalExpansion(call, true)) {
                return false;
            }
            if (call.isA(RexKind.Cast)) {
                // Can't deal with conversion between BINARY and VARBINARY;
                // leave that for the Java calc.
                RelDataType resultType = call.getType();
                RelDataType inputType = call.getOperands()[0].getType();
                if ((resultType.getFamily() == SqlTypeFamily.BINARY)
                    && (inputType.getFamily() == SqlTypeFamily.BINARY))
                {
                    if (resultType.getSqlTypeName()
                        != inputType.getSqlTypeName())
                    {
                        return false;
                    }
                }
                // casts from interval to string aren't yet in fennel.
                if ((resultType.getFamily() == SqlTypeFamily.CHARACTER)
                    && (SqlTypeUtil.isInterval(inputType)))
                {
                    return false;
                }
            }
            return true;
        }
    }

    /**
     * Generic implementor that takes a {@link
     * CalcProgramBuilder.InstructionDef} which implements an operator by
     * generating a call to a given instruction.
     *
     * <p>If you need to tweak the arguments to the instruction, you can
     * override {@link #makeRegList}.
     */
    public static class InstrDefImplementor
        extends AbstractCalcRexImplementor
    {
        /**
         * The instruction with which to implement this operator.
         */
        protected final CalcProgramBuilder.InstructionDef instr;

        /**
         * Creates an instruction implementor
         *
         * @param instr The instruction with which to implement this operator,
         * must not be null
         *
         * @pre null != instr
         * @pre instr != null
         */
        InstrDefImplementor(CalcProgramBuilder.InstructionDef instr)
        {
            Util.pre(null != instr, "null != instr");
            this.instr = instr;
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            List<CalcReg> regList = makeRegList(translator, call);

            instr.add(translator.builder, regList);
            return regList.get(0);
        }

        /**
         * Creates the list of registers which will be arguments to the
         * instruction call. i.e implment all the operands of the call and
         * create a result register for the call.
         *
         * <p>The 0th argument is assumed to hold the result of the call.
         */
        protected List<CalcReg> makeRegList(
            RexToCalcTranslator translator,
            RexCall call)
        {
            List<CalcReg> regList = implementOperands(call, translator);

            // the result is implemented last in order to avoid changing the
            // tests
            regList.add(
                0,
                createResultRegister(translator, call));

            return regList;
        }
    }

    /**
     * Implements "IS TRUE" and "IS FALSE" operators.
     */
    private static class IsBoolImplementor
        implements CalcRexImplementor
    {
        private boolean boolType;
        protected RexNode res;

        IsBoolImplementor(boolean boolType)
        {
            this.boolType = boolType;
        }

        public boolean canImplement(RexCall call)
        {
            return true;
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            RexNode operand = call.operands[0];
            translator.implementNode(operand);

            if (operand.getType().isNullable()) {
                RexNode notNullCall =
                    translator.rexBuilder.makeCall(
                        SqlStdOperatorTable.isNotNullOperator,
                        operand);
                RexNode eqCall =
                    translator.rexBuilder.makeCall(
                        SqlStdOperatorTable.equalsOperator,
                        operand,
                        translator.rexBuilder.makeLiteral(boolType));
                res =
                    translator.rexBuilder.makeCall(
                        SqlStdOperatorTable.andOperator,
                        notNullCall,
                        eqCall);
            } else {
                res =
                    translator.rexBuilder.makeCall(
                        SqlStdOperatorTable.equalsOperator,
                        operand,
                        translator.rexBuilder.makeLiteral(boolType));
            }
            return translator.implementNode(res);
        }
    }

    /**
     * Implements "IS NOT TRUE" and "IS NOT FALSE" operators.
     */
    private static class IsNotBoolImplementor
        extends IsBoolImplementor
    {
        IsNotBoolImplementor(boolean boolType)
        {
            super(boolType);
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            super.implement(call, translator);
            res =
                translator.rexBuilder.makeCall(
                    SqlStdOperatorTable.notOperator,
                    res);
            return translator.implementNode(res);
        }
    }

    /**
     * A Class that gets a specified operand of a call and retrieves its charset
     * name and add it as a vc literal to the program. This of course assumes
     * the operand is a chartype. If this is not the case an assert is fired.
     */
    private static class AddCharSetNameInstrImplementor
        extends InstrDefImplementor
    {
        int operand;

        AddCharSetNameInstrImplementor(
            String extCall,
            int regCount,
            int operand)
        {
            super(new CalcProgramBuilder.ExtInstrDef(extCall, regCount));
            this.operand = operand;
        }

        /**
         * @pre SqlTypeUtil.inCharFamily(call.operands[operand].getType())
         */
        protected List<CalcReg> makeRegList(
            RexToCalcTranslator translator,
            RexCall call)
        {
            Util.pre(
                SqlTypeUtil.inCharFamily(call.operands[operand].getType()),
                "SqlTypeUtil.inCharFamily(call.operands[operand].getType()");

            List<CalcReg> regList = super.makeRegList(translator, call);
            CalcReg charSetName =
                translator.builder.newVarcharLiteral(
                    call.operands[operand].getType().getCharset().name());
            regList.add(charSetName);
            return regList;
        }
    }

    /**
     * Implements a call by invoking a given instruction.
     */
    private static class UsingInstrImplementor
        extends AbstractCalcRexImplementor
    {
        CalcProgramBuilder.InstructionDef instr;

        /**
         * @pre null != instr
         */
        UsingInstrImplementor(CalcProgramBuilder.InstructionDef instr)
        {
            Util.pre(null != instr, "null != instr");
            this.instr = instr;
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            return implementUsingInstr(instr, translator, call);
        }
    }

    /**
     * Implementor that will convert a {@link RexCall}'s operands to approx
     * DOUBLE if needed
     */
    private static class MakeOperandsDoubleImplementor
        extends InstrDefImplementor
    {
        MakeOperandsDoubleImplementor(CalcProgramBuilder.InstructionDef instr)
        {
            super(instr);
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            call = call.clone();
            for (int i = 0; i < call.operands.length; i++) {
                RexNode operand = call.operands[i];
                if (!operand.getType().getSqlTypeName().equals(
                        SqlTypeName.DOUBLE))
                {
                    RelDataType oldType = operand.getType();
                    RelDataTypeFactory fac =
                        translator.rexBuilder.getTypeFactory();

                    //todo do a reverse lookup on OpType.Double instead
                    RelDataType doubleType =
                        fac.createSqlType(SqlTypeName.DOUBLE);
                    doubleType =
                        fac.createTypeWithNullability(
                            doubleType,
                            oldType.isNullable());
                    RexNode castCall =
                        translator.rexBuilder.makeCast(
                            doubleType,
                            call.operands[i]);
                    call.operands[i] = castCall;
                }
            }
            assert (0 != call.operands.length);
            return super.implement(call, translator);
        }
    }

    /**
     * Implementor for CAST operator.
     */
    private static class CastImplementor
        extends AbstractCalcRexImplementor
    {
        static final CastImplementor instance = new CastImplementor();
        private final Map<Pair<SqlTypeName, SqlTypeName>, CalcRexImplementor>
            doubleKeyMap =
                new HashMap<Pair<SqlTypeName, SqlTypeName>,
                    CalcRexImplementor>();

        private CastImplementor()
        {
            putMM(
                SqlTypeName.intTypes,
                SqlTypeName.intTypes,
                new UsingInstrImplementor(CalcProgramBuilder.cast));
            putMM(
                SqlTypeName.intTypes,
                SqlTypeName.approxTypes,
                new UsingInstrImplementor(CalcProgramBuilder.cast));
            putMS(
                SqlTypeName.datetimeTypes,
                SqlTypeName.BIGINT,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castDateToMillis));

            // REVIEW angel 2006-08-31 - allow cast from intervals to bigint?
            // TODO: Replace castDateToMillis with real cast from/to interval
            //  (Okay to use castDateToMillis for now since it just
            //   stuffs one int64 value into another)
            putMS(
                SqlTypeName.timeIntervalTypes,
                SqlTypeName.BIGINT,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castDateToMillis));
            putSM(
                SqlTypeName.BIGINT,
                SqlTypeName.timeIntervalTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castDateToMillis));

            putMM(
                SqlTypeName.booleanTypes,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castA));
            putMM(
                SqlTypeName.intTypes,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA) {
                    public CalcReg implement(
                        RexCall call,
                        RexToCalcTranslator translator)
                    {
                        RexCall newCall =
                            implementFirstOperandWithInt8(
                                call,
                                translator,
                                call.operands[0],
                                0,
                                false);
                        if (newCall.equals(call)) {
                            return super.implement(call, translator);
                        }
                        return translator.implementNode(newCall);
                    }
                });

            putMM(
                SqlTypeName.approxTypes,
                SqlTypeName.approxTypes,
                new UsingInstrImplementor(CalcProgramBuilder.cast));
            putMM(
                SqlTypeName.approxTypes,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA));
            putMM(
                SqlTypeName.approxTypes,
                SqlTypeName.intTypes,
                new AbstractCalcRexImplementor() {
                    public CalcReg implement(
                        RexCall call,
                        RexToCalcTranslator translator)
                    {
                        assert (call.isA(RexKind.Cast));
                        CalcReg beforeRound =
                            translator.implementNode(call.operands[0]);
                        CalcProgramBuilder.RegisterDescriptor regDesc =
                            translator.getCalcRegisterDescriptor(
                                call.operands[0]);
                        CalcReg afterRound =
                            translator.builder.newLocal(regDesc);
                        CalcProgramBuilder.round.add(
                            translator.builder,
                            afterRound,
                            beforeRound);
                        CalcReg res = createResultRegister(translator, call);
                        CalcProgramBuilder.cast.add(
                            translator.builder,
                            res,
                            afterRound);
                        return res;
                    }
                });

            putMS(
                SqlTypeName.charTypes,
                SqlTypeName.DATE,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castStrAToDate));
            putSM(
                SqlTypeName.DATE,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castDateToStr));

            putMS(
                SqlTypeName.charTypes,
                SqlTypeName.TIME,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castStrAToTime));
            putSM(
                SqlTypeName.TIME,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castTimeToStr));

            putMS(
                SqlTypeName.charTypes,
                SqlTypeName.TIMESTAMP,
                new DatetimeRoundingImplementor(
                    new UsingInstrImplementor(
                        ExtInstructionDefTable.castStrAToTimestamp)));
            putSM(
                SqlTypeName.TIMESTAMP,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castTimestampToStr));

            // TIMESTAMP to and from DATE and TIME.
            put(
                SqlTypeName.TIMESTAMP,
                SqlTypeName.DATE,
                new CastTimestampToDateImplementor());
            put(
                SqlTypeName.TIMESTAMP,
                SqlTypeName.TIME,
                new CastTimestampToTimeImplementor());
            put(
                SqlTypeName.DATE,
                SqlTypeName.TIMESTAMP,
                new UsingInstrImplementor(CalcProgramBuilder.cast));
            put(
                SqlTypeName.TIME,
                SqlTypeName.TIMESTAMP,
                new DatetimeRoundingImplementor(
                    new CastTimeToTimestampImplementor()));

            putMM(
                SqlTypeName.charTypes,
                SqlTypeName.booleanTypes,
                new UsingInstrImplementor(
                    ExtInstructionDefTable.castA));

            putMM(
                SqlTypeName.charTypes,
                SqlTypeName.intTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA) {
                    public CalcReg implement(
                        RexCall call,
                        RexToCalcTranslator translator)
                    {
                        RexCall newCall =
                            implementFirstOperandWithInt8(
                                call,
                                translator,
                                call,
                                0,
                                false);
                        if (newCall.equals(call)) {
                            return super.implement(call, translator);
                        }
                        return translator.implementNode(newCall);
                    }
                });
            putMM(
                SqlTypeName.charTypes,
                SqlTypeName.approxTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA) {
                    public CalcReg implement(
                        RexCall call,
                        RexToCalcTranslator translator)
                    {
                        RexCall newCall =
                            implementFirstOperandWithDouble(
                                call,
                                translator,
                                call,
                                0,
                                false);
                        if (newCall.equals(call)) {
                            return super.implement(call, translator);
                        }
                        return translator.implementNode(newCall);
                    }
                });

            putMM(
                SqlTypeName.charTypes,
                SqlTypeName.charTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA));

            putMM(
                SqlTypeName.binaryTypes,
                SqlTypeName.binaryTypes,
                new UsingInstrImplementor(ExtInstructionDefTable.castA));

            putSM(
                SqlTypeName.DECIMAL,
                SqlTypeName.charTypes,
                new CastDecimalImplementor(
                    ExtInstructionDefTable.castADecimal));
            putMS(
                SqlTypeName.charTypes,
                SqlTypeName.DECIMAL,
                new CastDecimalImplementor(
                    ExtInstructionDefTable.castADecimal));
        }

        private void putMM(
            SqlTypeName [] t1s,
            SqlTypeName [] t2s,
            CalcRexImplementor value)
        {
            for (SqlTypeName t1 : t1s) {
                putSM(t1, t2s, value);
            }
        }

        private void putMS(
            SqlTypeName [] t1s,
            SqlTypeName t2,
            CalcRexImplementor value)
        {
            for (SqlTypeName t1 : t1s) {
                put(t1, t2, value);
            }
        }

        private void putSM(
            SqlTypeName t1,
            SqlTypeName [] t2s,
            CalcRexImplementor value)
        {
            for (SqlTypeName t2 : t2s) {
                put(t1, t2, value);
            }
        }

        private void put(
            SqlTypeName t1,
            SqlTypeName t2,
            CalcRexImplementor value)
        {
            assert value != null;
            CalcRexImplementor s =
                doubleKeyMap.put(
                    new Pair<SqlTypeName, SqlTypeName>(t1, t2),
                    value);
            assert s == null : "key already existed";
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            Util.pre(call.operands.length == 1, "call.operands.length == 1");

            final RexNode operand = translator.resolve(call.operands[0]);
            if (RexLiteral.isNullLiteral(operand)) {
                CalcProgramBuilder.RegisterDescriptor resultDesc =
                    translator.getCalcRegisterDescriptor(call);

                // If the type is one which requires an explicit storage
                // specification, tell it we need 0 bytes;
                // otherwise keep it at -1.
                if (resultDesc.getBytes() >= 0) {
                    resultDesc =
                        new CalcProgramBuilder.RegisterDescriptor(
                            resultDesc.getType(),
                            0);
                }

                return translator.builder.newLiteral(resultDesc, null);
            }

            // Figure out the source and destination types.
            RelDataType fromType = operand.getType();
            SqlTypeName fromTypeName = fromType.getSqlTypeName();
            RelDataType toType = call.getType();
            SqlTypeName toTypeName = toType.getSqlTypeName();

            CalcRexImplementor implementor =
                doubleKeyMap.get(
                    new Pair<SqlTypeName, SqlTypeName>(
                        fromTypeName,
                        toTypeName));
            if (null != implementor) {
                return implementor.implement(call, translator);
            }

            if (SqlTypeUtil.sameNamedType(toType, fromType)) {
                CalcReg reg = translator.implementNode(operand);
                reg =
                    implementRounding(
                        reg,
                        RoundingMode.HALF_UP,
                        toType,
                        fromType.getPrecision(),
                        translator);
                return reg;
            }

            throw Util.needToImplement(
                "Cast from '" + fromType.toString()
                + "' to '" + toType.toString() + "'");
        }
    }

    static class DoubleKeyMap
        extends HashMap<Pair<SqlTypeName, SqlTypeName>, CalcRexImplementor>
    {
    }

    /**
     * Implementor for casting between char and decimal types.
     */
    private static class CastDecimalImplementor
        extends InstrDefImplementor
    {
        CastDecimalImplementor(CalcProgramBuilder.InstructionDef instr)
        {
            super(instr);
        }

        // refine InstrDefImplementor
        protected List<CalcReg> makeRegList(
            RexToCalcTranslator translator,
            RexCall call)
        {
            RelDataType decimalType;
            Util.pre(
                SqlTypeUtil.isDecimal(call.getType())
                || SqlTypeUtil.isDecimal(call.operands[0].getType()),
                "CastDecimalImplementor can only cast decimal types");
            if (SqlTypeUtil.isDecimal(call.getType())) {
                Util.pre(
                    SqlTypeUtil.inCharFamily(call.operands[0].getType()),
                    "CalRex cannot cast non char type to decimal");
                decimalType = call.getType();
            } else {
                Util.pre(
                    SqlTypeUtil.inCharFamily(call.getType()),
                    "CalRex cannot cast from decimal to non char type");
                decimalType = call.operands[0].getType();
            }
            RexLiteral precision =
                translator.rexBuilder.makeExactLiteral(
                    BigDecimal.valueOf(decimalType.getPrecision()));
            RexLiteral scale =
                translator.rexBuilder.makeExactLiteral(
                    BigDecimal.valueOf(decimalType.getScale()));

            List<CalcReg> regList = implementOperands(call, translator);
            regList.add(translator.implementNode(precision));
            regList.add(translator.implementNode(scale));
            regList.add(
                0,
                createResultRegister(translator, call));
            return regList;
        }
    }

    /**
     * Implementor for casting from TIMESTAMP to DATE.
     */
    private static class CastTimestampToDateImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            RelDataType fromType = call.getOperands()[0].getType();
            SqlTypeName fromTypeName = fromType.getSqlTypeName();
            assert fromTypeName == SqlTypeName.TIMESTAMP;
            SqlTypeName toTypeName = call.getType().getSqlTypeName();
            assert toTypeName == SqlTypeName.DATE;

            // Remove milliseconds part of the date:
            //   millisInDay := 86400000
            //   mod := x % millisInDay
            //   negative := x < 0
            //   if !negative goto afterCorrection
            //   mod := mod + millisInDay
            // afterCorrection:
            //   res := x - mod
            CalcReg xReg = translator.implementNode(call.getOperands()[0]);
            CalcReg millisInDayReg =
                translator.builder.newInt8Literal(DateTimeUtil.MILLIS_PER_DAY);
            CalcProgramBuilder.RegisterDescriptor resultDesc =
                translator.getCalcRegisterDescriptor(call);
            CalcReg modReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.integralNativeMod.add(
                translator.builder,
                modReg,
                xReg,
                millisInDayReg);

            // add a day if negative
            CalcReg negativeReg =
                translator.builder.newLocal(
                    CalcProgramBuilder.OpType.Bool,
                    -1);
            CalcReg zeroReg = translator.builder.newInt8Literal(0);
            CalcProgramBuilder.boolLessThan.add(
                translator.builder,
                negativeReg,
                xReg,
                zeroReg);
            final String afterCorrectionLabel = translator.newLabel();
            CalcProgramBuilder.jumpFalseInstruction.add(
                translator.builder,
                translator.builder.newLine(afterCorrectionLabel),
                negativeReg);
            CalcProgramBuilder.nativeAdd.add(
                translator.builder,
                modReg,
                modReg,
                millisInDayReg);

            translator.builder.addLabel(afterCorrectionLabel);
            CalcReg resReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.nativeMinus.add(
                translator.builder,
                resReg,
                xReg,
                modReg);
            return resReg;
        }
    }

    /**
     * Implementor for casting from TIMESTAMP to TIME.
     */
    private static class CastTimestampToTimeImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            RelDataType fromType = call.getOperands()[0].getType();
            SqlTypeName fromTypeName = fromType.getSqlTypeName();
            assert fromTypeName == SqlTypeName.TIMESTAMP;
            RelDataType toType = call.getType();
            SqlTypeName toTypeName = toType.getSqlTypeName();
            assert toTypeName == SqlTypeName.TIME;

            // Mask all but the milliseconds part of the date, then round to
            // the required precision (TIME(0) = 1000ms, TIME(1) = 100ms, etc.)
            //   millisInDay := 86400000
            //   mod := x % millisInDay
            //   negative := mod < 0
            //   if !negative goto afterCorrection
            //   mod := mod + millisInDay
            // afterCorrection:

            CalcReg xReg = translator.implementNode(call.getOperands()[0]);
            CalcReg millisInDayReg =
                translator.builder.newInt8Literal(DateTimeUtil.MILLIS_PER_DAY);
            CalcProgramBuilder.RegisterDescriptor resultDesc =
                translator.getCalcRegisterDescriptor(call);
            CalcReg modReg = translator.builder.newLocal(resultDesc);
            CalcProgramBuilder.integralNativeMod.add(
                translator.builder,
                modReg,
                xReg,
                millisInDayReg);

            // add a day if negative
            CalcReg negativeReg =
                translator.builder.newLocal(
                    CalcProgramBuilder.OpType.Bool,
                    -1);
            CalcReg zeroReg = translator.builder.newInt8Literal(0);
            CalcProgramBuilder.boolLessThan.add(
                translator.builder,
                negativeReg,
                xReg,
                zeroReg);
            final String afterCorrectionLabel = translator.newLabel();
            CalcProgramBuilder.jumpFalseInstruction.add(
                translator.builder,
                translator.builder.newLine(afterCorrectionLabel),
                negativeReg);
            CalcProgramBuilder.nativeAdd.add(
                translator.builder,
                modReg,
                modReg,
                millisInDayReg);

            // Now apply rounding, if the TIME result has less precision than
            // the TIMESTAMP source.
            translator.builder.addLabel(afterCorrectionLabel);
            return implementRounding(
                modReg,
                RoundingMode.HALF_UP,
                toType,
                fromType.getPrecision(),
                translator);
        }
    }

    /**
     * Implementor for casting from TIME to TIMESTAMP.
     */
    private static class CastTimeToTimestampImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            RelDataType fromType = call.getOperands()[0].getType();
            SqlTypeName fromTypeName = fromType.getSqlTypeName();
            assert fromTypeName == SqlTypeName.TIME;
            RelDataType toType = call.getType();
            SqlTypeName toTypeName = toType.getSqlTypeName();
            assert toTypeName == SqlTypeName.TIMESTAMP;

            // Mask all but the milliseconds part of the date, then round to the
            // required precision (TIME(0) = 1000ms, TIME(1) = 100ms, etc.)
            // millisInDay := 86400000 currentTimestamp := LOCAL_TIMESTAMP
            // currentDate := currentTimestamp - (currentTimesamp % millisInDay)
            // x := {input} y := currentDate + x

            CalcReg xReg = translator.implementNode(call.getOperands()[0]);

            // Add in current date.
            final CalcReg currentTimestampReg =
                TimeFunctionImplementor.implementTimeFunc(
                    ExtInstructionDefTable.localTimestamp,
                    null,
                    translator);

            // Remove the hours/minutes/seconds part.
            final CalcReg currentDateReg =
                implementRounding(
                    DateTimeUtil.MILLIS_PER_DAY,
                    RoundingMode.FLOOR,
                    currentTimestampReg,
                    toType,
                    translator);

            CalcProgramBuilder.RegisterDescriptor yDesc =
                translator.getCalcRegisterDescriptor(toType);
            CalcReg yReg = translator.builder.newLocal(yDesc);
            CalcProgramBuilder.nativeAdd.add(
                translator.builder,
                yReg,
                currentDateReg,
                xReg);

            // Now apply rounding, if the TIMESTAMP result has less precision
            // than the TIME source.
            return implementRounding(
                yReg,
                RoundingMode.HALF_UP,
                toType,
                fromType.getPrecision(),
                translator);
        }
    }

    /**
     * Helper to implement CAST to TIMESTAMP or TIME values. The supplied
     * implementor does the hard part, then this implementor ensures that the
     * result is rounded to the correct precision.
     */
    private static class DatetimeRoundingImplementor
        extends AbstractCalcRexImplementor
    {
        private final CalcRexImplementor implementor;

        DatetimeRoundingImplementor(CalcRexImplementor implementor)
        {
            this.implementor = implementor;
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            assert call.getOperator() == SqlStdOperatorTable.castFunc;
            assert call.getOperands().length == 1;
            final RelDataType toType = call.getType();
            final RelDataType fromType = call.getOperands()[0].getType();

            // Delegate the hard part of the cast.
            final CalcReg reg = implementor.implement(call, translator);

            // Now apply rounding, if the result has less precision than the
            // source.
            return implementRounding(
                reg,
                RoundingMode.HALF_UP,
                toType,
                fromType.getPrecision(),
                translator);
        }
    }

    /**
     * Implementor for REINTERPRET operator.
     */
    private static class ReinterpretCastImplementor
        extends AbstractCalcRexImplementor
    {
        public boolean canImplement(RexCall call)
        {
            return (call.isA(RexKind.Reinterpret));
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            RexNode valueArg = call.operands[0];
            boolean checkOverflow = RexUtil.canReinterpretOverflow(call);

            CalcReg value = translator.implementNode(valueArg);
            if (checkOverflow) {
                if (!SqlTypeUtil.isIntType(valueArg.getType())) {
                    valueArg =
                        translator.rexBuilder.makeReinterpretCast(
                            call.getType(),
                            valueArg,
                            translator.rexBuilder.makeLiteral(false));
                }

                // perform overflow check:
                //     if (value is null) goto [endCheck]
                //     bool overflowed = ( abs(value) >= overflowValue )
                //     if (!overflowed) goto [endCheck]
                //     throw overflow exception
                // [endCheck]
                String endCheck = translator.newLabel();
                if (valueArg.getType().isNullable()) {
                    RexNode nullCheck =
                        translator.rexBuilder.makeCall(
                            SqlStdOperatorTable.isNullOperator,
                            valueArg);
                    CalcReg isNull = translator.implementNode(nullCheck);
                    translator.builder.addLabelJumpTrue(endCheck, isNull);
                }
                RexNode overflowValue =
                    translator.rexBuilder.makeExactLiteral(
                        new BigDecimal(
                            NumberUtil.getMaxUnscaled(
                                call.getType().getPrecision())));
                RexNode comparison =
                    translator.rexBuilder.makeCall(
                        SqlStdOperatorTable.greaterThanOperator,
                        translator.rexBuilder.makeCall(
                            SqlStdOperatorTable.absFunc,
                            valueArg),
                        overflowValue);
                CalcReg overflowed = translator.implementNode(comparison);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(endCheck),
                    overflowed);
                CalcReg errorMsg =
                    translator.builder.newVarcharLiteral(
                        SqlStateCodes.NumericValueOutOfRange.getState());
                CalcProgramBuilder.raise.add(
                    translator.builder,
                    errorMsg);
                translator.builder.addLabel(endCheck);
            }
            return value;
        }
    }

    /**
     * Makes all numeric types the same before calling a given {@link
     * CalcProgramBuilder.InstructionDef instruction}. The way to make the types
     * the same is by inserting appropiate calls to cast functions depending on
     * the types. The "biggest" (least restrictive) type will always win and
     * other types will be conveted into that bigger type. For example. In the
     * expression <code>1.0+2</code>, the '+' instruction is potentially called
     * with types <code>(DOUBLE) + (INTEGER)</code> which is illegal (in terms
     * of the calculator). Therefore the expression's implementation will
     * logically end looking something like <code>1.0 + CAST(2 AS DOUBLE)</code>
     * LIMITATION: For now only Binary operators are supported with numeric
     * types If any operand is of any other type than a numeric one, the base
     * class {@link InstrDefImplementor#implement implementation} will be called
     */
    private static class BinaryNumericMakeSametypeImplementor
        extends InstrDefImplementor
    {
        // Set this to true if the result type need to be same as operands
        boolean useSameTypeResult = false;

        public BinaryNumericMakeSametypeImplementor(
            CalcProgramBuilder.InstructionDef instr)
        {
            super(instr);
        }

        public BinaryNumericMakeSametypeImplementor(
            CalcProgramBuilder.InstructionDef instr,
            boolean useSameTypeResult)
        {
            this(instr);
            this.useSameTypeResult = useSameTypeResult;
        }

        private int getRestrictiveness(
            CalcProgramBuilder.RegisterDescriptor rd)
        {
            switch (rd.getType()) {
            case Bool:
                return 5;
            case Uint1:
                return 10;
            case Int1:
                return 20;
            case Uint2:
                return 30;
            case Int2:
                return 40;
            case Uint4:
                return 50;
            case Int4:
                return 60;
            case Uint8:
                return 70;
            case Int8:
                return 80;
            case Real:
                return 1000;
            case Double:
                return 1010;
            default:
                throw Util.unexpected(rd.getType());
            }
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            assert (2 == call.operands.length);
            List<CalcReg> regs = implementOperands(call, translator);
            CalcProgramBuilder.RegisterDescriptor rd0 =
                translator.getCalcRegisterDescriptor(call.operands[0]);
            CalcProgramBuilder.RegisterDescriptor rd1 =
                translator.getCalcRegisterDescriptor(call.operands[1]);

            if (!rd0.getType().isNumeric() || !rd1.getType().isNumeric()) {
                return super.implement(call, translator);
            }

            CalcProgramBuilder.RegisterDescriptor rd = null;
            int d = getRestrictiveness(rd0) - getRestrictiveness(rd1);
            if (d != 0) {
                int small;
                if (d > 0) {
                    small = 1;
                    rd = rd0;
                } else {
                    small = 0;
                    rd = rd1;
                }

                RelDataType castToType =
                    call.operands[(small + 1) % 2].getType();

                // REVIEW: angel 2006-08-27 Force operations with
                // intervals to be treated as bigint operations
                if (SqlTypeUtil.isInterval(castToType)) {
                    RelDataTypeFactory fac =
                        translator.rexBuilder.getTypeFactory();
                    castToType = fac.createSqlType(SqlTypeName.BIGINT);
                }
                RexNode castCall =
                    translator.rexBuilder.makeCast(
                        castToType,
                        call.operands[small]);
                CalcReg newOp = translator.implementNode(castCall);
                regs.set(small, newOp);
            }

            if (useSameTypeResult && (rd != null)) {
                // Need to use the same type for the result as the operands
                CalcProgramBuilder.RegisterDescriptor rdCall =
                    translator.getCalcRegisterDescriptor(call.getType());
                if (rdCall.getType().isNumeric()
                    && ((getRestrictiveness(rd)
                        - getRestrictiveness(rdCall)) != 0))
                {
                    // Do operation using same type as operands
                    CalcReg tmpRes = translator.builder.newLocal(rd);
                    regs.add(0, tmpRes);

                    instr.add(translator.builder, regs);

                    // Cast back to real result type
                    // TODO: Use real cast (that handles rounding) instead of
                    // calculator cast that truncates
                    CalcReg res = createResultRegister(translator, call);

                    List<CalcReg> castRegs = new ArrayList<CalcReg>(2);
                    castRegs.add(res);
                    castRegs.add(tmpRes);
                    CalcProgramBuilder.cast.add(translator.builder, castRegs);

                    return res;
                }
            }

            CalcReg res = createResultRegister(translator, call);
            regs.add(0, res);

            instr.add(translator.builder, regs);
            return res;
        }
    }

    /**
     * Makes all string types the same before calling a given {@link
     * CalcProgramBuilder.InstructionDef instruction}. The way to make the types
     * the same is by inserting appropiate calls to cast functions depending on
     * the types. The "biggest" (least restrictive) type will always win and
     * other types will be conveted into that bigger type. For example. In the
     * expression <code>POSITION('varchar' in 'char')</code>, will end up
     * looking something like <code>POSITION('varchar' in CAST('char' AS
     * VARCHAR))</code> LIMITATION: For now only char types are supported
     */
    private static class BinaryStringMakeSametypeImplementor
        extends InstrDefImplementor
    {
        private final int iFirst;
        private final int iSecond;

        /**
         * Creates an implementor which makes a given pair of arguments the same
         * type.
         *
         * @param instr Instruction to implement
         * @param iFirst Ordinal of first operand in pair to make the same type
         * @param iSecond Ordinal of second operand in pair to make the same
         * type
         */
        public BinaryStringMakeSametypeImplementor(
            CalcProgramBuilder.InstructionDef instr,
            int iFirst,
            int iSecond)
        {
            super(instr);
            assert (iFirst != iSecond);
            this.iFirst = iFirst;
            this.iSecond = iSecond;
        }

        /**
         * Creates an implementor which makes the first and second arguments the
         * same type.
         *
         * @param instr Instruction to implement
         */
        public BinaryStringMakeSametypeImplementor(
            CalcProgramBuilder.InstructionDef instr)
        {
            this(instr, 0, 1);
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            List<CalcReg> regs = implementOperands(call, translator);
            CalcReg [] newRegs = { regs.get(iFirst), regs.get(iSecond) };

            translator.implementConversionIfNeeded(
                call.operands[iFirst],
                call.operands[iSecond],
                newRegs,
                true);
            regs.set(iFirst, newRegs[0]);
            regs.set(iSecond, newRegs[1]);

            CalcReg res = createResultRegister(translator, call);
            regs.add(0, res);

            instr.add(translator.builder, regs);
            return res;
        }
    }

    /**
     * Implementor for CASE operator.
     */
    private static class CaseImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            Util.pre(call.operands.length > 1, "call.operands.length>1");
            Util.pre(
                (call.operands.length & 1) == 1,
                "(call.operands.length&1)==1");
            CalcReg resultOfCall = createResultRegister(translator, call);
            String endOfCase = translator.newLabel();
            String next;
            boolean elseClauseOptimizedAway = false;
            for (int i = 0; i < (call.operands.length - 1); i += 2) {
                if (i != 0) {
                    // NEW SCOPE
                    translator.newScope();
                    // Implement any common subexpressions that the condition
                    // references and we know we can 'safely' evaluate.
                    translator.implementCommonSubExpressions(call.operands[i]);
                }
                next = translator.newLabel();
                CalcReg compareResult =
                    translator.implementNode(call.operands[i]);
                assert (compareResult.getOpType().equals(
                    CalcProgramBuilder.OpType.Bool));
                if (!compareResult.getRegisterType().equals(
                        CalcProgramBuilder.RegisterSetType.Literal))
                {
                    translator.builder.addLabelJumpFalse(next, compareResult);

                    // todo optimize away null check if type known to be non
                    // null same applies the other way (if we have a null
                    // literal or a cast(null as xxx))
                    translator.builder.addLabelJumpNull(next, compareResult);
                    implementCaseValue(
                        translator,
                        resultOfCall,
                        call.getType(),
                        call.operands[i + 1]);
                    translator.builder.addLabelJump(endOfCase);
                    translator.builder.addLabel(next);
                } else {
                    // we can do some optimizations
                    Boolean val = (Boolean) compareResult.getValue();
                    if (val) {
                        implementCaseValue(
                            translator,
                            resultOfCall,
                            call.getType(),
                            call.operands[i + 1]);
                        if (i != 0) {
                            translator.builder.addLabelJump(endOfCase);
                        }
                        translator.builder.addLabel(next);
                        elseClauseOptimizedAway = true;
                        break;
                    }

                    // else we dont need to do anything
                }
            }

            if (!elseClauseOptimizedAway) {
                int elseIndex = call.operands.length - 1;
                implementCaseValue(
                    translator,
                    resultOfCall,
                    call.getType(),
                    call.operands[elseIndex]);
            }
            translator.builder.addLabel(endOfCase); //this assumes that more
                                                    //instructions will follow
            // pop scopes for all condition expressions except for first
            // condition
            for (int i = 2; i < (call.operands.length - 1); i += 2) {
                translator.popScope();
            }
            return resultOfCall;
        }

        private void implementCaseValue(
            RexToCalcTranslator translator,
            CalcReg resultOfCall,
            RelDataType resultDataType,
            RexNode value)
        {
            translator.newScope();
            translator.implementCommonSubExpressions(value);
            try {
                RelDataType valueType = value.getType();

                // TODO: Don't need cast if only nullability differs
                boolean castNeeded = !resultDataType.equals(valueType);

                if (castNeeded) {
                    // Do cast from original type to result type
                    RexNode castCall =
                        translator.rexBuilder.makeCast(
                            resultDataType,
                            value);
                    CalcReg newOp = translator.implementNode(castCall);
                    CalcProgramBuilder.move.add(
                        translator.builder,
                        resultOfCall,
                        newOp);
                } else {
                    CalcReg operand = translator.implementNode(value);
                    CalcProgramBuilder.move.add(
                        translator.builder,
                        resultOfCall,
                        operand);
                }
            } finally {
                translator.popScope();
            }
        }
    }

    /**
     * Implements the identity operator.
     *
     * <p>The prefix plus operator uses this implementor, because "+ x" is
     * always the same as "x".
     */
    public static class IdentityImplementor
        implements CalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            return translator.implementNode(call.operands[0]);
        }

        public boolean canImplement(RexCall call)
        {
            return true;
        }
    }

    /**
     * Implements the TRIM function.
     */
    private static class TrimImplementor
        extends InstrDefImplementor
    {
        public TrimImplementor()
        {
            super(ExtInstructionDefTable.trim);
        }

        protected List<CalcReg> makeRegList(
            RexToCalcTranslator translator,
            RexCall call)
        {
            List<CalcReg> regList = new ArrayList<CalcReg>();

            CalcReg resultOfCall = createResultRegister(translator, call);
            RexNode op0 = call.operands[0];
            final RexLiteral literal = translator.getLiteral(op0);
            SqlTrimFunction.Flag flag =
                (SqlTrimFunction.Flag) literal.getValue();

            regList.add(resultOfCall);
            // str to trim from
            regList.add(translator.implementNode(call.operands[2]));
            // trim char
            regList.add(translator.implementNode(call.operands[1]));
            regList.add(translator.builder.newInt4Literal(flag.getLeft()));
            regList.add(translator.builder.newInt4Literal(flag.getRight()));

            return regList;
        }
    }

    private static class ConcatImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            assert (!translator.containsResult(call)); //avoid reentrancy
            CalcReg resultReg = createResultRegister(translator, call);
            return implement(call, translator, resultReg);
        }

        private CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator,
            CalcReg resultRegister)
        {
            assert (2 == call.operands.length);
            List<CalcReg> regList = new ArrayList<CalcReg>();
            regList.add(resultRegister);

            if ((!(call.operands[0] instanceof RexCall)
                    || !((RexCall) call.operands[0]).getOperator().equals(
                        SqlStdOperatorTable.concatOperator)))
            {
                regList.add(translator.implementNode(call.operands[0]));
            } else {
                //recursively calling this method again
                implement(
                    (RexCall) call.operands[0],
                    translator,
                    resultRegister);
            }

            regList.add(translator.implementNode(call.operands[1]));
            assert (regList.size() > 1);
            boolean castToVarchar = false;
            if (!CalcProgramBuilder.OpType.Char.equals(
                    resultRegister.getOpType()))
            {
                assert (CalcProgramBuilder.OpType.Varchar.equals(
                    resultRegister.getOpType()));
                castToVarchar = true;
            }
            for (int i = 1; i < regList.size(); i++) {
                CalcReg reg = regList.get(i);

                if (castToVarchar
                    && !reg.getOpType().equals(
                        CalcProgramBuilder.OpType.Varchar))
                {
                    // cast to varchar call must be of type varchar.
                    CalcReg newReg =
                        translator.builder.newLocal(
                            translator.getCalcRegisterDescriptor(call));

                    ExtInstructionDefTable.castA.add(
                        translator.builder,
                        newReg,
                        reg);
                    regList.set(i, newReg);
                }
            }

            ExtInstructionDefTable.concat.add(translator.builder, regList);
            return resultRegister;
        }
    }

    /**
     * Abstract base class for classes which implement {@link
     * CalcRexAggImplementor}.
     */
    public static abstract class AbstractCalcRexAggImplementor
        implements CalcRexAggImplementor
    {
        public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            implementInitialize(call, accumulatorRegister, translator);
            implementAdd(call, accumulatorRegister, translator);
        }

        public boolean canImplement(RexCall call)
        {
            return true;
        }
    }

    /**
     * Implementation of the <code>COUNT</code> aggregate function, {@link
     * SqlStdOperatorTable#countOperator}.
     */
    private static class CountCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // O s8; V 0; T; MOVE O0, C0;
            assert (call.operands.length == 0) || (call.operands.length == 1);

            final CalcReg zeroReg =
                translator.builder.newLiteral(
                    translator.getCalcRegisterDescriptor(call),
                    0);
            CalcProgramBuilder.move.add(
                translator.builder,
                accumulatorRegister,
                zeroReg);
        }

        @Override public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert (call.operands.length == 0) || (call.operands.length == 1);

            final CalcReg oneReg =
                translator.builder.newLiteral(
                    translator.getCalcRegisterDescriptor(call),
                    1);

            // If operand is null, then it is like count(*).
            // Otherwise, it is like count(x).
            RexNode operand = null;
            if (call.operands.length == 1) {
                operand = call.operands[0];
            }

            // Minor optimization where count(*) = count(x) if x cannot be null.
            // See the help for SumCalcRexImplementor.implementAdd()
            if ((operand != null) && operand.getType().isNullable()) {
                final CalcReg zeroReg =
                    translator.builder.newLiteral(
                        translator.getCalcRegisterDescriptor(call),
                        0);
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();

                CalcReg input = translator.implementNode(operand);

                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    input);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    zeroReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    oneReg);
                translator.builder.addLabel(next);
            } else {
                // Use ref instead of move.
                // Streaming agg marshalls and unmarshalls
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    oneReg);
            }
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // I s8; V 1; T; ADD O0, O0, C0;
            assert (call.operands.length == 0) || (call.operands.length == 1);

            final CalcReg oneReg =
                translator.builder.newLiteral(
                    translator.getCalcRegisterDescriptor(call),
                    1);

            // If operand is null, then it is like count(*).
            // Otherwise, it is like count(x).
            RexNode operand = null;
            if (call.operands.length == 1) {
                operand = call.operands[0];
            }

            // Minor optimization where count(*) = count(x) if x cannot be null.
            // See the help for SumCalcRexImplementor.implementAdd()
            if ((operand != null) && operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();

                CalcReg input = translator.implementNode(operand);

                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    input);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    oneReg);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    oneReg);
            }
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // I s8; V 1; T; SUB O0, O0, C0;
            assert (call.operands.length == 0) || (call.operands.length == 1);

            final CalcReg oneReg =
                translator.builder.newLiteral(
                    translator.getCalcRegisterDescriptor(call),
                    1);

            // If operand is null, then it is like count(*).
            // Otherwise, it is like count(x).
            RexNode operand = null;
            if (call.operands.length == 1) {
                operand = call.operands[0];
            }

            // Minor optimization where count(*) = count(x) if x cannot be null.
            // See the help for SumCalcRexImplementor.implementDrop()
            if ((operand != null) && operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();

                CalcReg input = translator.implementNode(operand);

                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    input);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    oneReg);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    oneReg);
            }
        }
    }

    /**
     * Implementation of the <code>SUM</code> aggregate function, {@link
     * SqlStdOperatorTable#sumOperator}.
     */
    private static class SumCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // O s8; V 0; T; MOVE O0, C0;
            assert call.operands.length == 1;

            final CalcProgramBuilder.RegisterDescriptor desc =
                translator.getCalcRegisterDescriptor(call);
            final CalcProgramBuilder.OpType opType = desc.getType();
            assert (opType.isNumeric());
            final Object initValue;
            if (opType.isExact()) {
                initValue = 0;
            } else {
                initValue = 0.0;
            }
            final CalcReg zeroReg =
                translator.builder.newLiteral(
                    desc,
                    initValue);
            CalcProgramBuilder.move.add(
                translator.builder,
                accumulatorRegister,
                zeroReg);
        }

        @Override
        public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            final CalcProgramBuilder.RegisterDescriptor desc =
                translator.getCalcRegisterDescriptor(call);
            final CalcProgramBuilder.OpType opType = desc.getType();
            assert (opType.isNumeric());

            // Use ref instead of move. Streaming agg marshalls and unmarshalls
            CalcProgramBuilder.refInstruction.add(
                translator.builder,
                accumulatorRegister,
                input);
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];

            CalcReg input = translator.implementNode(operand);

            // If the input can be null, then we check if the value is in fact
            // null and then skip adding it to the total. If, however, the value
            // cannot be null, we can simply perform the add operation. One
            // important point to remember here is that we should design this
            // such that multiple aggregations generate valid code too, i.e.,
            // sum(col1), sum(col2) should generate correct code by computing
            // both the sums (so we cannot have return statements and jump
            // statements in sum(col1) should jump correctly to the next
            // instruction row of a subsequent call to this method needed for
            // sum(col2). Here is the pseudo code: ISNULL nullReg, col1    /* 0
            // */ JMPF @3, nullReg        /* 1 */ JMP @4                  /* 2
            // */ ADD O0, O0, col1        /* 3 */                         /* 4
            // */ Note that a label '4' is created for a row that doesn't have
            // any instruction. This is critical both when there is sum(col2) or
            // simply a return statement.
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    input);
                CalcProgramBuilder.jumpTrueInstruction.add(
                    translator.builder,
                    translator.builder.newLine(next),
                    isNullReg);
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    accumulatorRegister);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                // Use ref instead of move.
                // Streaming agg marshalls and unmarshalls
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
            }
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];

            CalcReg input = translator.implementNode(operand);

            // Refer to the comments for implementAdd method above.
            // Here is the pseudo code:
            // ISNULL nullReg, col1    /* 0 */
            // JMPF @3, nullReg        /* 1 */
            // JMP @4                  /* 2 */
            // SUB O0, O0, col1        /* 3 */
            //                         /* 4 */
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    translator.implementNode(operand));
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
            }
        }
    }

    /**
     * Implementation of the <code>SUM0</code> aggregate function, {@link
     * SqlStdOperatorTable#sumEmptyIsZeroOperator}.
     */
    private static class SumEmptyIsZeroCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // O s8; V 0; T; MOVE O0, C0;
            assert call.operands.length == 1;

            final CalcProgramBuilder.RegisterDescriptor desc =
                translator.getCalcRegisterDescriptor(call);
            final CalcProgramBuilder.OpType opType = desc.getType();
            assert (opType.isNumeric());
            final Object initValue;
            if (opType.isExact()) {
                initValue = 0;
            } else {
                initValue = 0.0;
            }
            final CalcReg zeroReg =
                translator.builder.newLiteral(
                    desc,
                    initValue);
            CalcProgramBuilder.move.add(
                translator.builder,
                accumulatorRegister,
                zeroReg);
        }

        @Override
        public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            final CalcProgramBuilder.RegisterDescriptor desc =
                translator.getCalcRegisterDescriptor(call);
            final CalcProgramBuilder.OpType opType = desc.getType();
            assert (opType.isNumeric());
            if (operand.getType().isNullable()) {
                final Object initValue;
                if (opType.isExact()) {
                    initValue = 0;
                } else {
                    initValue = 0.0;
                }
                final CalcReg zeroReg =
                    translator.builder.newLiteral(
                        desc,
                        initValue);
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    translator.implementNode(operand));
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    zeroReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(next);
            } else {
                // Use ref instead of move.
                // Streaming agg marshalls and unmarshalls
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
            }
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];

            CalcReg input = translator.implementNode(operand);

            // If the input can be null, then we check if the value is in fact
            // null and then skip adding it to the total. If, however, the value
            // cannot be null, we can simply perform the add operation. One
            // important point to remember here is that we should design this
            // such that multiple aggregations generate valid code too, i.e.,
            // sum(col1), sum(col2) should generate correct code by computing
            // both the sums (so we cannot have return statements and jump
            // statements in sum(col1) should jump correctly to the next
            // instruction row of a subsequent call to this method needed for
            // sum(col2). Here is the pseudo code: ISNULL nullReg, col1    /* 0
            // */ JMPF @3, nullReg        /* 1 */ JMP @4                  /* 2
            // */ ADD O0, O0, col1        /* 3 */                         /* 4
            // */ Note that a label '4' is created for a row that doesn't have
            // any instruction. This is critical both when there is sum(col2) or
            // simply a return statement.
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    translator.implementNode(operand));
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeAdd.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
            }
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];

            CalcReg input = translator.implementNode(operand);

            // Refer to the comments for implementAdd method above.
            // Here is the pseudo code:
            // ISNULL nullReg, col1    /* 0 */
            // JMPF @3, nullReg        /* 1 */
            // JMP @4                  /* 2 */
            // SUB O0, O0, col1        /* 3 */
            //                         /* 4 */
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                String next = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    translator.implementNode(operand));
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                translator.builder.addLabelJump(next);
                translator.builder.addLabel(wasNotNull);
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(next);
            } else {
                CalcProgramBuilder.nativeMinus.add(
                    translator.builder,
                    accumulatorRegister,
                    accumulatorRegister,
                    input);
            }
        }
    }

    /**
     * Implementation of the <code>MIN and MAX</code> aggregate function, {@link
     * SqlStdOperatorTable#sumOperator}.
     */
    private static class MinMaxCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        private final SqlAggFunction function;

        public MinMaxCalcRexImplementor(SqlAggFunction function)
        {
            this.function = function;
        }

        private boolean isMin()
        {
            return function == SqlStdOperatorTable.minOperator;
        }

        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            implementInitAdd(call, accumulatorRegister, translator);
        }

        @Override
        public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            CalcProgramBuilder.refInstruction.add(
                translator.builder,
                accumulatorRegister,
                input);
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            final CalcProgramBuilder builder = translator.builder;
            CalcReg input = translator.implementNode(operand);
            CalcReg tempBoolReg = translator.getTempBoolRegister();

            //check operand for null if it is nullable
            String noReplaceLabel = translator.newLabel();
            ;
            String doReplaceLabel = translator.newLabel();
            if (operand.getType().isNullable()) {
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    tempBoolReg,
                    input);
                builder.addLabelJumpTrue(noReplaceLabel, tempBoolReg);
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    tempBoolReg,
                    accumulatorRegister);
                builder.addLabelJumpTrue(doReplaceLabel, tempBoolReg);
            }
            InstructionDef compareInstruction =
                isMin() ? CalcProgramBuilder.boolLessThan
                : CalcProgramBuilder.boolGreaterThan;
            if (SqlTypeUtil.inCharFamily(operand.getType())) {
                final CalcReg tempInt4 = translator.getTempInt4Register();
                final CalcReg zeroReg = translator.builder.newInt4Literal(0);
                ExtInstructionDefTable.strCmpA.add(
                    builder,
                    tempInt4,
                    translator.implementNode(operand),
                    accumulatorRegister);
                compareInstruction.add(
                    builder,
                    tempBoolReg,
                    tempInt4,
                    zeroReg);
            } else {
                compareInstruction.add(
                    builder,
                    tempBoolReg,
                    translator.implementNode(operand),
                    accumulatorRegister);
            }
            builder.addLabelJumpFalse(noReplaceLabel, tempBoolReg);

            builder.addLabel(doReplaceLabel);

            // Use ref instead of move since could be replacing a null
            CalcProgramBuilder.refInstruction.add(
                translator.builder,
                accumulatorRegister,
                input);
            builder.addLabel(noReplaceLabel);
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // do nothing
        }
    }

    /**
     * Implementation of the <code>FIST_VALUE</code> aggregate function, {@link
     * SqlStdOperatorTable#sumOperator}.
     */
    private static class FirstValueCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            implementInitAdd(call, accumulatorRegister, translator);
        }

        @Override public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            CalcProgramBuilder.refInstruction.add(
                translator.builder,
                accumulatorRegister,
                input);
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String wasNotNull = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    accumulatorRegister);
                CalcProgramBuilder.jumpFalseInstruction.add(
                    translator.builder,
                    translator.builder.newLine(wasNotNull),
                    isNullReg);
                CalcReg input = translator.implementNode(operand);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(wasNotNull);
            }
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // do nothing
        }
    }

    /**
     * Implementation of the <code>LAST_VALUE</code> aggregate function, {@link
     * SqlStdOperatorTable#sumOperator}.
     */
    private static class LastValueCalcRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            implementInitAdd(call, accumulatorRegister, translator);
        }

        @Override public void implementInitAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            CalcProgramBuilder.refInstruction.add(
                translator.builder,
                accumulatorRegister,
                input);
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final RexNode operand = call.operands[0];
            CalcReg input = translator.implementNode(operand);
            if (operand.getType().isNullable()) {
                CalcReg isNullReg = translator.getTempBoolRegister();
                String isNull = translator.newLabel();
                CalcProgramBuilder.boolNativeIsNull.add(
                    translator.builder,
                    isNullReg,
                    input);
                CalcProgramBuilder.jumpTrueInstruction.add(
                    translator.builder,
                    translator.builder.newLine(isNull),
                    isNullReg);
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
                translator.builder.addLabel(isNull);
            } else {
                CalcProgramBuilder.refInstruction.add(
                    translator.builder,
                    accumulatorRegister,
                    input);
            }
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            // do nothing
        }
    }

    /**
     * Implementation of the <code>$HISTOGRAM</code> aggregate function ({@link
     * SqlStdOperatorTable#histogramAggFunction}, which helps implement MIN,
     * MAX, FIRST_VALUE, LAST_VALUE in a windowed aggregation scenario.
     *
     * @see HistogramResultRexImplementor
     */
    private static class HistogramAggRexImplementor
        extends AbstractCalcRexAggImplementor
    {
        public HistogramAggRexImplementor()
        {
        }

        public void implementInitialize(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            CalcReg reg0 = translator.implementNode(call.operands[0]);
            ExtInstructionDefTable.histogramInit.add(
                translator.builder,
                accumulatorRegister,
                reg0);
        }

        public void implementAdd(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final CalcReg reg0 = translator.implementNode(call.operands[0]);
            ExtInstructionDefTable.histogramAdd.add(
                translator.builder,
                reg0,
                accumulatorRegister);
        }

        public void implementDrop(
            RexCall call,
            CalcReg accumulatorRegister,
            RexToCalcTranslator translator)
        {
            assert call.operands.length == 1;
            final CalcReg reg0 = translator.implementNode(call.operands[0]);
            ExtInstructionDefTable.histogramDrop.add(
                translator.builder,
                reg0,
                accumulatorRegister);
        }
    }

    /**
     * Implementation of the operators which extract a result from a histogram:
     *
     * <ul>
     * <li>{@link SqlStdOperatorTable#histogramMinFunction $HISTOGRAM_MIN},
     * <li>{@link SqlStdOperatorTable#histogramMaxFunction $HISTOGRAM_MAX},
     * <li>{@link SqlStdOperatorTable#histogramFirstValueFunction
     * $HISTOGRAM_FIRST_VALUE},
     * <li>{@link SqlStdOperatorTable#histogramLastValueFunction
     * $HISTOGRAM_LAST_VALUE}
     * </ul>
     *
     * @see HistogramAggRexImplementor
     */
    private static class HistogramResultRexImplementor
        extends AbstractCalcRexImplementor
    {
        private final SqlAggFunction function;

        public HistogramResultRexImplementor(SqlAggFunction function)
        {
            this.function = function;
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            // The single argument must be a histogram.
            assert call.getOperands().length == 1;

            CalcReg resultReg = createResultRegister(translator, call);

            final RexNode operand = call.operands[0];
            CalcReg reg0 = translator.implementNode(operand);

            final CalcProgramBuilder.ExtInstrDef instrDef;
            if (function == SqlStdOperatorTable.minOperator) {
                instrDef = ExtInstructionDefTable.histogramGetMin;
            } else if (function == SqlStdOperatorTable.maxOperator) {
                instrDef = ExtInstructionDefTable.histogramGetMax;
            } else if (function == SqlStdOperatorTable.firstValueOperator) {
                instrDef = ExtInstructionDefTable.histogramGetFirstValue;
            } else if (function == SqlStdOperatorTable.lastValueOperator) {
                instrDef = ExtInstructionDefTable.histogramGetLastValue;
            } else {
                throw Util.newInternal("invalid function " + function);
            }
            instrDef.add(translator.builder, resultReg, reg0);

            return resultReg;
        }
    }

    /**
     * Implements the internal {@link SqlStdOperatorTable#sliceOp $SLICE}
     * operator.
     */
    private static class SliceImplementor
        extends AbstractCalcRexImplementor
    {
        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            throw new UnsupportedOperationException();
        }
    }

    private static class TimeFunctionImplementor
        extends AbstractCalcRexImplementor
    {
        private static final Map<SqlOperator, CalcProgramBuilder.ExtInstrDef>
            timeFuncs;

        static {
            timeFuncs =
                new HashMap<SqlOperator, CalcProgramBuilder.ExtInstrDef>();
            timeFuncs.put(
                SqlStdOperatorTable.localTimeFunc,
                ExtInstructionDefTable.localTime);
            timeFuncs.put(
                SqlStdOperatorTable.localTimestampFunc,
                ExtInstructionDefTable.localTimestamp);
            timeFuncs.put(
                SqlStdOperatorTable.currentTimeFunc,
                ExtInstructionDefTable.currentTime);
            timeFuncs.put(
                SqlStdOperatorTable.currentTimestampFunc,
                ExtInstructionDefTable.currentTimestamp);
        }

        public CalcReg implement(
            RexCall call,
            RexToCalcTranslator translator)
        {
            // precision or nothing
            assert (call.operands.length <= 1);

            SqlOperator operator = call.getOperator();

            CalcProgramBuilder.ExtInstrDef instruction =
                timeFuncs.get(operator);

            Util.permAssert(
                instruction != null,
                "cannot implement " + call.toString());

            RexNode operand = null;
            if (call.operands.length == 1) {
                operand = translator.resolve(call.operands[0]);
            }

            return implementTimeFunc(instruction, operand, translator);
        }

        private static CalcReg implementTimeFunc(
            CalcProgramBuilder.ExtInstrDef instruction,
            RexNode operand,
            RexToCalcTranslator translator)
        {
            final CalcProgramBuilder progBuilder = translator.builder;
            List<CalcReg> regList = new ArrayList<CalcReg>();

            CalcReg timeReg =
                progBuilder.newLocal(CalcProgramBuilder.OpType.Int8, -1);

            // Call will be to store time func result in local reg with
            // optional precision operand.
            regList.add(timeReg);

            // The LocalTimestamp and LocalTime instructions take the POSIX
            // description of the timezone (e.g. "PST-8PDT,M4.1.0,M10.1.0")
            // as an implicit first argument.
            //
            // Timezone is inherited from the JVM.
            // You can override using '-Duser.timezone=...".
            if (instruction.name.startsWith("Local")) {
                String tzDesc = Util.toPosix(TimeZone.getDefault(), false);
                regList.add(
                    translator.implementNode(
                        translator.rexBuilder.makeLiteral(tzDesc)));
            }

            if (operand != null) {
                regList.add(translator.implementNode(operand));
            }

            String notZeroLabel = translator.newLabel();

            CalcReg isNotZeroReg =
                progBuilder.newLocal(CalcProgramBuilder.OpType.Bool, -1);

            CalcReg zeroReg = progBuilder.newInt8Literal(0);

            CalcProgramBuilder.boolNativeNotEqual.add(
                progBuilder,
                isNotZeroReg,
                timeReg,
                zeroReg);

            progBuilder.addLabelJumpTrue(notZeroLabel, isNotZeroReg);

            // store time func result in local reg
            instruction.add(progBuilder, regList);

            // dangling label on whatever comes next
            progBuilder.addLabel(notZeroLabel);

            return timeReg;
        }
    }
}

// End CalcRexImplementorTableImpl.java
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