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/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF 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 "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
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package com.hazelcast.org.apache.calcite.plan;

import com.hazelcast.org.apache.calcite.rex.RexCall;
import com.hazelcast.org.apache.calcite.rex.RexInputRef;
import com.hazelcast.org.apache.calcite.rex.RexLiteral;
import com.hazelcast.org.apache.calcite.rex.RexNode;
import com.hazelcast.org.apache.calcite.rex.RexUtil;
import com.hazelcast.org.apache.calcite.rex.RexVisitorImpl;
import com.hazelcast.org.apache.calcite.sql.SqlKind;
import com.hazelcast.org.apache.calcite.util.ImmutableBitSet;

import com.hazelcast.com.google.common.collect.ImmutableList;
import com.hazelcast.com.google.common.collect.Iterables;

import java.util.ArrayList;
import java.util.EnumMap;
import java.util.List;
import java.util.Map;

/** Utilities for strong predicates.
 *
 * 

A predicate is strong (or null-rejecting) if it is UNKNOWN if any of its * inputs is UNKNOWN.

* *

By the way, UNKNOWN is just the boolean form of NULL.

* *

Examples:

*
    *
  • {@code UNKNOWN} is strong in [] (definitely null) *
  • {@code c = 1} is strong in [c] (definitely null if and only if c is * null) *
  • {@code c IS NULL} is not strong (always returns TRUE or FALSE, never * null) *
  • {@code p1 AND p2} is strong in [p1, p2] (definitely null if either p1 * is null or p2 is null) *
  • {@code p1 OR p2} is strong if p1 and p2 are strong *
  • {@code c1 = 1 OR c2 IS NULL} is strong in [c1] (definitely null if c1 * is null) *
*/ public class Strong { private static final Map MAP = createPolicyMap(); public Strong() { super(); } /** Returns a checker that consults a bit set to find out whether particular * inputs may be null. */ public static Strong of(final ImmutableBitSet nullColumns) { return new Strong() { @Override public boolean isNull(RexInputRef ref) { return nullColumns.get(ref.getIndex()); } }; } /** Returns whether the analyzed expression will definitely return null if * all of a given set of input columns are null. */ public static boolean isNull(RexNode node, ImmutableBitSet nullColumns) { return of(nullColumns).isNull(node); } /** Returns whether the analyzed expression will definitely not return true * (equivalently, will definitely not return null or false) if * all of a given set of input columns are null. */ public static boolean isNotTrue(RexNode node, ImmutableBitSet nullColumns) { return of(nullColumns).isNotTrue(node); } /** Returns how to deduce whether a particular kind of expression is null, * given whether its arguments are null. */ public static Policy policy(SqlKind kind) { return MAP.getOrDefault(kind, Policy.AS_IS); } /** * Returns whether a given expression is strong. * *

Examples:

*
    *
  • Returns true for {@code c = 1} since it returns null if and only if * c is null *
  • Returns false for {@code c IS NULL} since it always returns TRUE * or FALSE *
* * @param e Expression * @return true if the expression is strong, false otherwise */ public static boolean isStrong(RexNode e) { final ImmutableBitSet.Builder nullColumns = ImmutableBitSet.builder(); e.accept( new RexVisitorImpl(true) { public Void visitInputRef(RexInputRef inputRef) { nullColumns.set(inputRef.getIndex()); return super.visitInputRef(inputRef); } }); return isNull(e, nullColumns.build()); } /** Returns whether all expressions in a list are strong. */ public static boolean allStrong(List operands) { return operands.stream().allMatch(Strong::isStrong); } /** Returns whether an expression is definitely not true. */ public boolean isNotTrue(RexNode node) { switch (node.getKind()) { case IS_NOT_NULL: return anyNull(((RexCall) node).getOperands()); default: return isNull(node); } } /** Returns whether an expression is definitely null. * *

The answer is based on calls to {@link #isNull} for its constituent * expressions, and you may override methods to test hypotheses such as * "if {@code x} is null, is {@code x + y} null? */ public boolean isNull(RexNode node) { final Policy policy = policy(node.getKind()); switch (policy) { case NOT_NULL: return false; case ANY: return anyNull(((RexCall) node).getOperands()); default: break; } switch (node.getKind()) { case LITERAL: return ((RexLiteral) node).isNull(); // We can only guarantee AND to return NULL if both inputs are NULL (similar for OR) // AND(NULL, FALSE) = FALSE case AND: case OR: case COALESCE: return allNull(((RexCall) node).getOperands()); case NULLIF: // NULLIF(null, X) where X can be NULL, returns NULL // NULLIF(X, Y) where X is not NULL, then this may return NULL if X = Y, otherwise X. return allNull(ImmutableList.of(((RexCall) node).getOperands().get(0))); case INPUT_REF: return isNull((RexInputRef) node); case CASE: final RexCall caseCall = (RexCall) node; final List caseValues = new ArrayList<>(); for (int i = 0; i < caseCall.getOperands().size(); i++) { if (!RexUtil.isCasePredicate(caseCall, i)) { caseValues.add(caseCall.getOperands().get(i)); } } return allNull(caseValues); default: return false; } } /** Returns whether a given input is definitely null. */ public boolean isNull(RexInputRef ref) { return false; } /** Returns whether all expressions in a list are definitely null. */ private boolean allNull(List operands) { for (RexNode operand : operands) { if (!isNull(operand)) { return false; } } return true; } /** Returns whether any expressions in a list are definitely null. */ private boolean anyNull(List operands) { for (RexNode operand : operands) { if (isNull(operand)) { return true; } } return false; } private static Map createPolicyMap() { EnumMap map = new EnumMap<>(SqlKind.class); map.put(SqlKind.INPUT_REF, Policy.AS_IS); map.put(SqlKind.LOCAL_REF, Policy.AS_IS); map.put(SqlKind.DYNAMIC_PARAM, Policy.AS_IS); map.put(SqlKind.OTHER_FUNCTION, Policy.AS_IS); // The following types of expressions could potentially be custom. map.put(SqlKind.CASE, Policy.AS_IS); map.put(SqlKind.DECODE, Policy.AS_IS); // NULLIF(1, NULL) yields 1, but NULLIF(1, 1) yields NULL map.put(SqlKind.NULLIF, Policy.AS_IS); // COALESCE(NULL, 2) yields 2 map.put(SqlKind.COALESCE, Policy.AS_IS); map.put(SqlKind.NVL, Policy.AS_IS); // FALSE AND NULL yields FALSE // TRUE AND NULL yields NULL map.put(SqlKind.AND, Policy.AS_IS); // TRUE OR NULL yields TRUE // FALSE OR NULL yields NULL map.put(SqlKind.OR, Policy.AS_IS); // Expression types with custom handlers. map.put(SqlKind.LITERAL, Policy.CUSTOM); map.put(SqlKind.EXISTS, Policy.NOT_NULL); map.put(SqlKind.IS_DISTINCT_FROM, Policy.NOT_NULL); map.put(SqlKind.IS_NOT_DISTINCT_FROM, Policy.NOT_NULL); map.put(SqlKind.IS_NULL, Policy.NOT_NULL); map.put(SqlKind.IS_NOT_NULL, Policy.NOT_NULL); map.put(SqlKind.IS_TRUE, Policy.NOT_NULL); map.put(SqlKind.IS_NOT_TRUE, Policy.NOT_NULL); map.put(SqlKind.IS_FALSE, Policy.NOT_NULL); map.put(SqlKind.IS_NOT_FALSE, Policy.NOT_NULL); map.put(SqlKind.NOT, Policy.ANY); map.put(SqlKind.EQUALS, Policy.ANY); map.put(SqlKind.NOT_EQUALS, Policy.ANY); map.put(SqlKind.LESS_THAN, Policy.ANY); map.put(SqlKind.LESS_THAN_OR_EQUAL, Policy.ANY); map.put(SqlKind.GREATER_THAN, Policy.ANY); map.put(SqlKind.GREATER_THAN_OR_EQUAL, Policy.ANY); map.put(SqlKind.LIKE, Policy.ANY); map.put(SqlKind.SIMILAR, Policy.ANY); map.put(SqlKind.PLUS, Policy.ANY); map.put(SqlKind.PLUS_PREFIX, Policy.ANY); map.put(SqlKind.MINUS, Policy.ANY); map.put(SqlKind.MINUS_PREFIX, Policy.ANY); map.put(SqlKind.TIMES, Policy.ANY); map.put(SqlKind.DIVIDE, Policy.ANY); map.put(SqlKind.CAST, Policy.ANY); map.put(SqlKind.REINTERPRET, Policy.ANY); map.put(SqlKind.TRIM, Policy.ANY); map.put(SqlKind.LTRIM, Policy.ANY); map.put(SqlKind.RTRIM, Policy.ANY); map.put(SqlKind.CEIL, Policy.ANY); map.put(SqlKind.FLOOR, Policy.ANY); map.put(SqlKind.EXTRACT, Policy.ANY); map.put(SqlKind.GREATEST, Policy.ANY); map.put(SqlKind.LEAST, Policy.ANY); map.put(SqlKind.TIMESTAMP_ADD, Policy.ANY); map.put(SqlKind.TIMESTAMP_DIFF, Policy.ANY); map.put(SqlKind.ITEM, Policy.ANY); // Assume that any other expressions cannot be simplified. for (SqlKind k : Iterables.concat(SqlKind.EXPRESSION, SqlKind.AGGREGATE)) { if (!map.containsKey(k)) { map.put(k, Policy.AS_IS); } } return map; } /** How whether an operator's operands are null affects whether a call to * that operator evaluates to null. */ public enum Policy { /** This kind of expression is never null. No need to look at its arguments, * if it has any. */ NOT_NULL, /** This kind of expression has its own particular rules about whether it * is null. */ CUSTOM, /** This kind of expression is null if and only if at least one of its * arguments is null. */ ANY, /** This kind of expression may be null. There is no way to rewrite. */ AS_IS, } }





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