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math expression language with hand written parser/lexer
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/* | ||
* Licensed to Metamarkets Group Inc. (Metamarkets) under one | ||
* or more contributor license agreements. See the NOTICE file | ||
* distributed with this work for additional information | ||
* regarding copyright ownership. Metamarkets 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 io.druid.math.expr; | ||
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import com.google.common.math.LongMath; | ||
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import java.util.List; | ||
import java.util.Map; | ||
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/** | ||
*/ | ||
public interface Expr | ||
{ | ||
Number eval(Map<String, Number> bindings); | ||
} | ||
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class SimpleExpr implements Expr | ||
{ | ||
private final Atom atom; | ||
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public SimpleExpr(Atom atom) | ||
{ | ||
this.atom = atom; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return atom.toString(); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
return atom.eval(bindings); | ||
} | ||
} | ||
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class BinExpr implements Expr | ||
{ | ||
private final Token opToken; | ||
private final Expr left; | ||
private final Expr right; | ||
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public BinExpr(Token opToken, Expr left, Expr right) | ||
{ | ||
this.opToken = opToken; | ||
this.left = left; | ||
this.right = right; | ||
} | ||
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public Number eval(Map<String, Number> bindings) | ||
{ | ||
switch(opToken.getType()) { | ||
case Token.AND: | ||
Number leftVal = left.eval(bindings); | ||
Number rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
long lval = leftVal.longValue(); | ||
if (lval > 0) { | ||
long rval = rightVal.longValue(); | ||
return rval > 0 ? 1 : 0; | ||
} else { | ||
return 0; | ||
} | ||
} else { | ||
double lval = leftVal.doubleValue(); | ||
if (lval > 0) { | ||
double rval = rightVal.doubleValue(); | ||
return rval > 0 ? 1.0d : 0.0d; | ||
} else { | ||
return 0.0d; | ||
} | ||
} | ||
case Token.OR: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
long lval = leftVal.longValue(); | ||
if (lval > 0) { | ||
return 1; | ||
} else { | ||
long rval = rightVal.longValue(); | ||
return rval > 0 ? 1 : 0; | ||
} | ||
} else { | ||
double lval = leftVal.doubleValue(); | ||
if (lval > 0) { | ||
return 1.0d; | ||
} else { | ||
double rval = rightVal.doubleValue(); | ||
return rval > 0 ? 1.0d : 0.0d; | ||
} | ||
} | ||
case Token.LT: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() < rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() < rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.LEQ: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() <= rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() <= rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.GT: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() > rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() > rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.GEQ: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() >= rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() >= rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.EQ: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() == rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() == rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.NEQ: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() != rightVal.longValue() ? 1 : 0; | ||
} else { | ||
return leftVal.doubleValue() != rightVal.doubleValue() ? 1.0d : 0.0d; | ||
} | ||
case Token.PLUS: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() + rightVal.longValue(); | ||
} else { | ||
return leftVal.doubleValue() + rightVal.doubleValue(); | ||
} | ||
case Token.MINUS: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() - rightVal.longValue(); | ||
} else { | ||
return leftVal.doubleValue() - rightVal.doubleValue(); | ||
} | ||
case Token.MUL: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() * rightVal.longValue(); | ||
} else { | ||
return leftVal.doubleValue() * rightVal.doubleValue(); | ||
} | ||
case Token.DIV: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() / rightVal.longValue(); | ||
} else { | ||
return leftVal.doubleValue() / rightVal.doubleValue(); | ||
} | ||
case Token.MODULO: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return leftVal.longValue() % rightVal.longValue(); | ||
} else { | ||
return leftVal.doubleValue() % rightVal.doubleValue(); | ||
} | ||
case Token.CARROT: | ||
leftVal = left.eval(bindings); | ||
rightVal = right.eval(bindings); | ||
if (isLong(leftVal, rightVal)) { | ||
return LongMath.pow(leftVal.longValue(), rightVal.intValue()); | ||
} else { | ||
return Math.pow(leftVal.doubleValue(), rightVal.doubleValue()); | ||
} | ||
default: | ||
throw new RuntimeException("Unknown operator " + opToken.getMatch()); | ||
} | ||
} | ||
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private boolean isLong(Number left, Number right) | ||
{ | ||
return left instanceof Long && right instanceof Long; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return "(" + opToken.getMatch() + " " + left + " " + right + ")"; | ||
} | ||
} | ||
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interface Atom | ||
{ | ||
Number eval(Map<String, Number> bindings); | ||
} | ||
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class LongValueAtom implements Atom | ||
{ | ||
private final long value; | ||
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public LongValueAtom(long value) | ||
{ | ||
this.value = value; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return String.valueOf(value); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
return value; | ||
} | ||
} | ||
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class DoubleValueAtom implements Atom | ||
{ | ||
private final double value; | ||
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public DoubleValueAtom(double value) | ||
{ | ||
this.value = value; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return String.valueOf(value); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
return value; | ||
} | ||
} | ||
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class IdentifierAtom implements Atom | ||
{ | ||
private final Token value; | ||
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public IdentifierAtom(Token value) | ||
{ | ||
this.value = value; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return value.getMatch(); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
Number val = bindings.get(value.getMatch()); | ||
if (val == null) { | ||
throw new RuntimeException("No binding found for " + value.getMatch()); | ||
} else { | ||
return val; | ||
} | ||
} | ||
} | ||
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class UnaryNotExprAtom implements Atom | ||
{ | ||
private final Expr expr; | ||
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public UnaryNotExprAtom(Expr expr) | ||
{ | ||
this.expr = expr; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return "!" + expr.toString(); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
Number valObj = expr.eval(bindings); | ||
return valObj.doubleValue() > 0 ? 0.0d : 1.0d; | ||
} | ||
} | ||
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class UnaryMinusExprAtom implements Atom | ||
{ | ||
private final Expr expr; | ||
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public UnaryMinusExprAtom(Expr expr) | ||
{ | ||
this.expr = expr; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return "-" + expr.toString(); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
Number valObj = expr.eval(bindings); | ||
if (valObj instanceof Long) { | ||
return -1 * valObj.longValue(); | ||
} else { | ||
return -1 * valObj.doubleValue(); | ||
} | ||
} | ||
} | ||
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class NestedExprAtom implements Atom | ||
{ | ||
private final Expr expr; | ||
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public NestedExprAtom(Expr expr) | ||
{ | ||
this.expr = expr; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return expr.toString(); | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
return expr.eval(bindings); | ||
} | ||
} | ||
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class FunctionAtom implements Atom | ||
{ | ||
private final String name; | ||
private final List<Expr> args; | ||
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public FunctionAtom(String name, List<Expr> args) | ||
{ | ||
this.name = name; | ||
this.args = args; | ||
} | ||
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@Override | ||
public String toString() | ||
{ | ||
return "(" + name + " " + args + ")"; | ||
} | ||
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@Override | ||
public Number eval(Map<String, Number> bindings) | ||
{ | ||
return Parser.func.get(name).apply(args, bindings); | ||
} | ||
} |
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