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18 changes: 11 additions & 7 deletions verifier/src/main/java/dev/cel/verifier/CelAstToZ3Translator.java
Original file line number Diff line number Diff line change
Expand Up @@ -14,6 +14,8 @@

package dev.cel.verifier;

import static com.google.common.base.Preconditions.checkArgument;

import com.google.common.collect.ImmutableList;
import com.google.common.collect.ImmutableSet;
import com.google.common.collect.ImmutableSortedSet;
Expand Down Expand Up @@ -107,13 +109,6 @@ Set<Expr<?>> getInputVariables() {
return context.inputVariables();
}

/**
* Returns a Z3 boolean expression asserting that the provided CEL value is a boolean and is true.
*/
BoolExpr isTrue(Expr<?> celValue) {
return ctx.mkAnd(typeSystem.isBool(celValue), (BoolExpr) typeSystem.unwrapBool(celValue));
}

/**
* Binds an identifier name in the symbol table to an already-translated value. Used to bind
* reserved policy symbols such as 'rule.result' to the composed policy graph.
Expand Down Expand Up @@ -446,6 +441,15 @@ private TranslatedValue translateCall(CelExpr expr, CelAbstractSyntaxTree ast) {
long exprId = expr.id();
String functionName = call.function();
ImmutableList<CelExpr> argsAst = call.args();
if (functionName.equals(Operator.OPTIONAL_SELECT.getFunction())) {
checkArgument(
!call.target().isPresent()
&& argsAst.size() == 2
&& argsAst.get(1).constantOrDefault().getKind() == CelConstant.Kind.STRING_VALUE,
"Malformed AST: operator %s expects an operand and a field name",
Operator.OPTIONAL_SELECT);
return structTranslator.translateSelect(expr, ast);
}

List<TranslatedValue> args = new ArrayList<>();

Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -273,8 +273,8 @@ CelVerificationResult verifyImplication(
TranslatedValue assumeTv = translator.translate(assumeAst);
TranslatedValue assertTv = translator.translate(assertAst);

BoolExpr assumeCondition = translator.isTrue(assumeTv.z3Expr());
BoolExpr assertCondition = translator.isTrue(assertTv.z3Expr());
BoolExpr assumeCondition = translator.getTypeSystem().isTrue(assumeTv.z3Expr());
BoolExpr assertCondition = translator.getTypeSystem().isTrue(assertTv.z3Expr());
BoolExpr violationCondition = ctx.mkAnd(assumeCondition, ctx.mkNot(assertCondition));

BoolExpr combinedTaint =
Expand Down Expand Up @@ -305,7 +305,7 @@ private CelVerificationResult checkSatisfiability(
CelAstToZ3Translator translator = newTranslator(ctx, /* parameterizeUnknowns= */ false);

TranslatedValue tv = translator.translate(ast);
BoolExpr isTrue = translator.isTrue(tv.z3Expr());
BoolExpr isTrue = translator.getTypeSystem().isTrue(tv.z3Expr());
if (searchForCounterexample) {
return search(
ctx,
Expand Down
651 changes: 400 additions & 251 deletions verifier/src/main/java/dev/cel/verifier/CelZ3OperatorTranslator.java

Large diffs are not rendered by default.

76 changes: 63 additions & 13 deletions verifier/src/main/java/dev/cel/verifier/CelZ3StructTranslator.java
Original file line number Diff line number Diff line change
Expand Up @@ -26,6 +26,7 @@
import com.microsoft.z3.SeqExpr;
import dev.cel.common.CelAbstractSyntaxTree;
import dev.cel.common.ast.CelExpr;
import dev.cel.common.ast.CelExpr.ExprKind;
import dev.cel.common.internal.ProtoTimeUtils;
import dev.cel.common.types.CelKind;
import dev.cel.common.types.CelType;
Expand Down Expand Up @@ -536,25 +537,53 @@ private FieldAccess getMsgAccess(Expr<?> operand, String field, BoolExpr typeGua
return new FieldAccess(presence, value);
}

/**
* Translates {@code e.f}, {@code has(e.f)} or {@code e.?f} (an optional of {@code e.f} if {@code
* has(e.f)}, else empty).
*/
TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
CelExpr.CelSelect select = celExpr.select();
boolean isOptional = celExpr.getKind() == ExprKind.Kind.CALL;
CelExpr operandExpr = isOptional ? celExpr.call().args().get(0) : celExpr.select().operand();
String field =
isOptional
? celExpr.call().args().get(1).constant().stringValue()
: celExpr.select().field();
boolean testOnly = !isOptional && celExpr.select().testOnly();
long exprId = celExpr.id();
TranslatedValue operandTv = translateExpr(select.operand(), ast);
TranslatedValue operandTv = translateExpr(operandExpr, ast);
Expr<?> operand = operandTv.z3Expr();
String field = select.field();
CelType operandType = extractAstTypeOrDefault(ast, select.operand().id());
CelType operandType = extractAstTypeOrDefault(ast, operandExpr.id());
// Selecting from an optional selects from its value optionally (e.g. `optional.of({}).a` is
// `optional.none()`). Performance only: an operand of a known type other than optional isn't.
boolean mayBeOptional =
operandType instanceof OptionalType
|| !CelZ3OperatorTranslator.isStaticallyKnown(operandType);
BoolExpr isOptionalOperand = ctx.mkFalse();
BoolExpr hasValue = ctx.mkFalse();
BoolExpr shouldEvaluate = ctx.mkTrue();
if (mayBeOptional) {
Expr<?> optRef = typeSystem.getOptionalRef(operand);
isOptionalOperand = typeSystem.isOptional(operand);
hasValue = typeSystem.optHasValue(optRef);
shouldEvaluate = (BoolExpr) ctx.mkITE(isOptionalOperand, hasValue, ctx.mkTrue());
operand = ctx.mkITE(isOptionalOperand, typeSystem.getOptionalValue(optRef), operand);
}
if (operandType instanceof OptionalType) {
// Performance only: reads the value by its static type.
operandType = operandType.parameters().get(0);
}

Expr<?> presenceResult;
Expr<?> valueResult;
BoolExpr unmodeledMessage = ctx.mkFalse();
BoolExpr presenceError = ctx.mkFalse();

if (operandType instanceof MapType) {
FieldAccess mapAcc = getMapAccess(operand, field, ctx.mkTrue());
FieldAccess mapAcc = getMapAccess(operand, field, shouldEvaluate);
presenceResult = mapAcc.presence;
valueResult = ctx.mkITE(mapAcc.presence, mapAcc.value, typeSystem.mkError());
} else if (operandType.kind() == CelKind.STRUCT) {
FieldAccess msgAcc = getMsgAccess(operand, field, ctx.mkTrue());
FieldAccess msgAcc = getMsgAccess(operand, field, shouldEvaluate);
presenceResult = msgAcc.presence;
Expr<?> defaultVal = getDefaultValueForType(extractAstTypeOrDefault(ast, exprId));
valueResult = ctx.mkITE(msgAcc.presence, msgAcc.value, defaultVal);
Expand All @@ -563,8 +592,8 @@ TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
BoolExpr isMap = typeSystem.isMap(operand);
BoolExpr isMessage = typeSystem.isMessage(operand);

FieldAccess mapAcc = getMapAccess(operand, field, isMap);
FieldAccess msgAcc = getMsgAccess(operand, field, isMessage);
FieldAccess mapAcc = getMapAccess(operand, field, ctx.mkAnd(shouldEvaluate, isMap));
FieldAccess msgAcc = getMsgAccess(operand, field, ctx.mkAnd(shouldEvaluate, isMessage));

presenceResult =
CelZ3Exprs.SwitchBuilder.newBuilder(ctx)
Expand All @@ -590,13 +619,13 @@ TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
msgRead.addCase(isType, typeSystem.mkError());
continue;
}
if (select.testOnly()) {
if (testOnly) {
continue;
}
CelType fieldType = declared.get().type();
context.addConstraint(
ctx.mkImplies(
ctx.mkAnd(isMessage, isType, msgAcc.presence),
ctx.mkAnd(shouldEvaluate, isMessage, isType, msgAcc.presence),
typeConstraintGenerator.createTypeConstraintForType(msgAcc.value, fieldType)));
msgRead.addCase(
isType, ctx.mkITE(msgAcc.presence, msgAcc.value, getDefaultValueForType(fieldType)));
Expand All @@ -605,7 +634,10 @@ TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
unmodeledMessage =
context.recordApproximation(
"messages of types the type provider doesn't declare",
ctx.mkAnd(isMessage, ctx.mkNot(CelZ3Exprs.mkOrFlattened(ctx, isModeledType))));
ctx.mkAnd(
shouldEvaluate,
isMessage,
ctx.mkNot(CelZ3Exprs.mkOrFlattened(ctx, isModeledType))));
Expr<?> mapRead = ctx.mkITE(mapAcc.presence, mapAcc.value, typeSystem.mkError());
// Testing an undeclared field, or a field of something other than a map or message, errors.
presenceError =
Expand All @@ -622,10 +654,27 @@ TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
.build(typeSystem.mkError());
}

// has(e.f), else e.f, or for e.?f and an optional e, an optional of e.f if has(e.f).
Expr<?> fieldAccess =
select.testOnly()
testOnly
? typeSystem.withRuntimeError(typeSystem.wrapBool(presenceResult), presenceError)
: valueResult;
Expr<?> chained = fieldAccess;
if (!testOnly && (isOptional || mayBeOptional)) {
chained =
ctx.mkITE(
presenceError,
typeSystem.mkError(),
ctx.mkITE(
(BoolExpr) presenceResult,
context.mkOptionalOf(valueResult),
typeSystem.mkOptionalNone()));
fieldAccess = isOptional ? chained : valueResult;
}
if (mayBeOptional) {
Expr<?> empty = testOnly ? typeSystem.mkBool(false) : typeSystem.mkOptionalNone();
fieldAccess = ctx.mkITE(isOptionalOperand, ctx.mkITE(hasValue, chained, empty), fieldAccess);
}

context.addConstraint(typeConstraintGenerator.createTypeConstraint(fieldAccess, exprId, ast));

Expand All @@ -636,7 +685,8 @@ TranslatedValue translateSelect(CelExpr celExpr, CelAbstractSyntaxTree ast) {
return operandType.kind() == CelKind.STRUCT
? result
: result.withApproximation(
CelZ3Exprs.mkOrFlattened(ctx, context.isTruncatedMap(operand), unmodeledMessage));
CelZ3Exprs.mkOrFlattened(
ctx, ctx.mkAnd(shouldEvaluate, context.isTruncatedMap(operand)), unmodeledMessage));
}

private static CelType extractAstTypeOrDefault(CelAbstractSyntaxTree ast, long id) {
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -80,6 +80,14 @@ void constrainValidValue(BoolExpr guard, Expr<?> value) {
addConstraint(ctx.mkImplies(guard, typeSystem.isValidValue(value)));
}

/** Returns an optional holding {@code value}. */
Expr<?> mkOptionalOf(Expr<?> value) {
Expr<?> optRef = ctx.mkApp(typeSystem.optionalOfRefFunc(), value);
addConstraint(ctx.mkEq(typeSystem.getOptionalValue(optRef), value));
addConstraint(typeSystem.optHasValue(optRef));
return typeSystem.mkOptionalOf(optRef);
}

void addInputVariable(Expr<?> variable, CelType declaredType) {
inputVariableTypes.put(variable, declaredType);
}
Expand Down
5 changes: 5 additions & 0 deletions verifier/src/main/java/dev/cel/verifier/CelZ3TypeSystem.java
Original file line number Diff line number Diff line change
Expand Up @@ -360,6 +360,11 @@ public FPExpr mkFpDouble(double val) {
return ctx.mkFP(val, ctx.mkFPSortDouble());
}

/** Whether the given CelValue is the bool true. */
BoolExpr isTrue(Expr<?> celValue) {
return ctx.mkAnd(isBool(celValue), (BoolExpr) unwrapBool(celValue));
}

/** Checks if the given CelValue is a double. */
public BoolExpr isDouble(Expr<?> val) {
return (BoolExpr) ctx.mkApp(doubleCons.getTesterDecl(), val);
Expand Down
2 changes: 2 additions & 0 deletions verifier/src/main/java/dev/cel/verifier/TranslatedValue.java
Original file line number Diff line number Diff line change
Expand Up @@ -199,6 +199,8 @@ private static String extractOpName(CelExpr expr) {
switch (expr.exprKind().getKind()) {
case SELECT:
return "select_" + expr.select().field() + "_" + expr.select().testOnly();
case CALL: // e.?f
return "optional_select_" + expr.call().args().get(1).constant().stringValue();
case STRUCT:
StringBuilder structSb = new StringBuilder("struct_").append(expr.struct().messageName());
for (CelExpr.CelStruct.Entry entry : expr.struct().entries()) {
Expand Down
80 changes: 9 additions & 71 deletions verifier/src/main/java/dev/cel/verifier/axioms/InAxiom.java
Original file line number Diff line number Diff line change
Expand Up @@ -14,88 +14,26 @@

package dev.cel.verifier.axioms;

import com.microsoft.z3.BoolExpr;
import com.microsoft.z3.Expr;
import com.microsoft.z3.FPExpr;
import com.microsoft.z3.IntExpr;
import com.microsoft.z3.SeqExpr;
import dev.cel.checker.CelStandardDeclarations.StandardFunction;
import java.util.Optional;

/** Axiomatization for CEL's in operator/function (list and map overloads). */
@SuppressWarnings({"unchecked", "rawtypes"}) // Z3 Java API uses raw types.
public final class InAxiom {
final class InAxiom {

static final CelZ3FunctionAxiom INSTANCE =
CelZ3FunctionAxiom.newBuilder(StandardFunction.IN.functionDecl())
// Matches by terms, which is CEL equality when lhs has the list's element type and that
// type compares by terms; the operator translator compares other lists by CEL equality.
.addBinaryOverloadTranslator(
StandardFunction.Overload.InternalOperator.IN_LIST.celOverloadDecl(),
(ctx, typeSystem, constraintSink, lhsTrans, rhsTrans) -> {
Expr<?> listRef = typeSystem.getListRef(rhsTrans);
SeqExpr<?> seq = typeSystem.getSeq(listRef);

BoolExpr structContains = ctx.mkContains((Expr) seq, (Expr) ctx.mkUnit(lhsTrans));

BoolExpr isDouble = typeSystem.isDouble(lhsTrans);
FPExpr fpVal = (FPExpr) typeSystem.getDouble(lhsTrans);

BoolExpr isNaN = ctx.mkFPIsNaN(fpVal);
BoolExpr isDoubleZero = ctx.mkFPIsZero(fpVal);

Expr<?> posZeroCel = typeSystem.wrapDouble(typeSystem.mkFpDouble(0.0));
Expr<?> negZeroCel = typeSystem.wrapDouble(typeSystem.mkFpDouble(-0.0));
Expr<?> intZeroCel = typeSystem.wrapInt(ctx.mkInt(0));
Expr<?> uintZeroCel = typeSystem.wrapUint(ctx.mkInt(0));

// CEL follows IEEE-754 where 0.0 == -0.0, and cross-type equality means they also
// equal int 0 and uint 0.
BoolExpr containsAnyZero =
ctx.mkOr(
ctx.mkContains((Expr) seq, (Expr) ctx.mkUnit(posZeroCel)),
ctx.mkContains((Expr) seq, (Expr) ctx.mkUnit(negZeroCel)),
ctx.mkContains((Expr) seq, (Expr) ctx.mkUnit(intZeroCel)),
ctx.mkContains((Expr) seq, (Expr) ctx.mkUnit(uintZeroCel)));

// CEL follows IEEE-754 where NaN != NaN.
BoolExpr doubleInList =
(BoolExpr)
ctx.mkITE(
isNaN,
ctx.mkFalse(),
ctx.mkITE(isDoubleZero, containsAnyZero, structContains));

BoolExpr isInt = typeSystem.isInt(lhsTrans);
BoolExpr isUint = typeSystem.isUint(lhsTrans);
BoolExpr isIntOrUint = ctx.mkOr(isInt, isUint);

IntExpr intVal =
(IntExpr)
ctx.mkITE(isInt, typeSystem.getInt(lhsTrans), typeSystem.getUint(lhsTrans));
BoolExpr isIntOrUintZero = ctx.mkEq(intVal, ctx.mkInt(0));

BoolExpr containsIntOrUint =
ctx.mkOr(
ctx.mkAnd(
ctx.mkNot(typeSystem.checkIntOverflow(intVal)),
ctx.mkContains(
(Expr) seq, (Expr) ctx.mkUnit(typeSystem.wrapInt(intVal)))),
ctx.mkAnd(
ctx.mkNot(typeSystem.checkUintOverflow(intVal)),
ctx.mkContains(
(Expr) seq, (Expr) ctx.mkUnit(typeSystem.wrapUint(intVal)))));

BoolExpr intOrUintInList =
(BoolExpr) ctx.mkITE(isIntOrUintZero, containsAnyZero, containsIntOrUint);

BoolExpr isMatch =
(BoolExpr)
ctx.mkITE(
isDouble,
doubleInList,
ctx.mkITE(isIntOrUint, intOrUintInList, structContains));

return Optional.of(typeSystem.wrapBool(isMatch));
})
(ctx, typeSystem, constraintSink, lhsTrans, rhsTrans) ->
Optional.of(
typeSystem.wrapBool(
ctx.mkContains(
(Expr) typeSystem.getSeq(typeSystem.getListRef(rhsTrans)),
(Expr) ctx.mkUnit(lhsTrans)))))
.addBinaryOverloadTranslator(
StandardFunction.Overload.InternalOperator.IN_MAP.celOverloadDecl(),
(ctx, typeSystem, constraintSink, lhsTrans, rhsTrans) ->
Expand Down
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