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167 lines
4.4 KiB
Plaintext
167 lines
4.4 KiB
Plaintext
/**
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* Provides classes and predicates for integer guards.
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*/
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import java
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private import SSA
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private import RangeUtils
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private import RangeAnalysis
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/** Gets an expression that might have the value `i`. */
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private Expr exprWithIntValue(int i) {
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result.(ConstantIntegerExpr).getIntValue() = i or
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result.(ChooseExpr).getAResultExpr() = exprWithIntValue(i)
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}
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/**
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* An expression for which the predicate `integerGuard` is relevant.
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* This includes `VarRead` and `MethodCall`.
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*/
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class IntComparableExpr extends Expr {
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IntComparableExpr() { this instanceof VarRead or this instanceof MethodCall }
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/** Gets an integer that is directly assigned to the expression in case of a variable; or zero. */
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int relevantInt() {
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exists(SsaExplicitUpdate ssa, SsaSourceVariable v |
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this = v.getAnAccess() and
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ssa.getSourceVariable() = v and
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ssa.getDefiningExpr().(VariableAssign).getSource() = exprWithIntValue(result)
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)
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or
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result = 0
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}
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}
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/**
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* An expression that directly tests whether a given expression is equal to `k` or not.
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* The set of `k`s is restricted to those that are relevant for the expression or
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* have a direct comparison with the expression.
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*
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* If `result` evaluates to `branch`, then `e` is guaranteed to be equal to `k` if `is_k`
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* is true, and different from `k` if `is_k` is false.
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*/
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pragma[nomagic]
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Expr integerGuard(IntComparableExpr e, boolean branch, int k, boolean is_k) {
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exists(EqualityTest eqtest, boolean polarity |
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eqtest = result and
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eqtest.hasOperands(e, any(ConstantIntegerExpr c | c.getIntValue() = k)) and
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polarity = eqtest.polarity() and
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(
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branch = true and is_k = polarity
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or
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branch = false and is_k = polarity.booleanNot()
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)
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)
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or
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exists(EqualityTest eqtest, int val, Expr c, boolean upper |
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k = e.relevantInt() and
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eqtest = result and
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eqtest.hasOperands(e, c) and
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bounded(c, any(ZeroBound zb), val, upper, _) and
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is_k = false and
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(
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upper = true and val < k
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or
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upper = false and val > k
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) and
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branch = eqtest.polarity()
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)
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or
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exists(ComparisonExpr comp, Expr c, int val, boolean upper |
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k = e.relevantInt() and
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comp = result and
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comp.hasOperands(e, c) and
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bounded(c, any(ZeroBound zb), val, upper, _) and
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is_k = false
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// k <= val <= c < e, so e != k
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comp.getLesserOperand() = c and
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comp.isStrict() and
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branch = true and
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val >= k and
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upper = false
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or
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comp.getLesserOperand() = c and
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comp.isStrict() and
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branch = false and
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val < k and
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upper = true
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or
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comp.getLesserOperand() = c and
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not comp.isStrict() and
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branch = true and
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val > k and
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upper = false
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or
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comp.getLesserOperand() = c and
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not comp.isStrict() and
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branch = false and
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val <= k and
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upper = true
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or
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comp.getGreaterOperand() = c and
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comp.isStrict() and
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branch = true and
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val <= k and
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upper = true
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or
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comp.getGreaterOperand() = c and
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comp.isStrict() and
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branch = false and
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val > k and
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upper = false
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or
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comp.getGreaterOperand() = c and
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not comp.isStrict() and
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branch = true and
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val < k and
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upper = true
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or
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comp.getGreaterOperand() = c and
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not comp.isStrict() and
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branch = false and
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val >= k and
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upper = false
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)
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}
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/**
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* A guard that splits the values of a variable into one range with an upper bound of `k-1`
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* and one with a lower bound of `k`.
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*
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* If `branch_with_lower_bound_k` is true then `result` is equivalent to `k <= x`
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* and if it is false then `result` is equivalent to `k > x`.
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*/
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Expr intBoundGuard(VarRead x, boolean branch_with_lower_bound_k, int k) {
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exists(ComparisonExpr comp, ConstantIntegerExpr c, int val |
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comp = result and
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comp.hasOperands(x, c) and
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c.getIntValue() = val and
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x.getVariable().getType() instanceof IntegralType
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// c < x
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comp.getLesserOperand() = c and
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comp.isStrict() and
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branch_with_lower_bound_k = true and
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val + 1 = k
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or
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// c <= x
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comp.getLesserOperand() = c and
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not comp.isStrict() and
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branch_with_lower_bound_k = true and
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val = k
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or
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// x < c
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comp.getGreaterOperand() = c and
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comp.isStrict() and
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branch_with_lower_bound_k = false and
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val = k
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or
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// x <= c
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comp.getGreaterOperand() = c and
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not comp.isStrict() and
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branch_with_lower_bound_k = false and
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val + 1 = k
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)
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}
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