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Add support for variable-sized and variable-aligned allocations #750

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Oct 11, 2024
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24 changes: 24 additions & 0 deletions benchmarks/miscellaneous/nondet_aligned_alloc.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,24 @@
#include <stdint.h>
#include <assert.h>
#include <dat3m.h>
#include <stdlib.h>

int main()
{
int size_int = __VERIFIER_nondet_int();
int align_int = __VERIFIER_nondet_int();
__VERIFIER_assume(size_int > 0);
__VERIFIER_assume(align_int > 0);
size_t size = (size_t)size_int;
size_t align = (size_t)align_int;
int *array = malloc(42 * sizeof(int));
int *array_2 = aligned_alloc(align, size * sizeof(int));
// NOTE: making the first allocation non-det-sized makes the solver extremely slow to verify the
// custom aligned allocation. Even when fixing the alignment to a constant it gets super slow if that constant
// is not a power of two. In other words, aligning variable-sized addresses is very expensive currently, especially
// for non-power-of-two alignments (those don't exist in practice though).

assert (array != array_2);
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assert (((size_t)array) % 8 == 0); // Default alignment
assert (((size_t)array_2) % align == 0); // Custom alignment
}
27 changes: 27 additions & 0 deletions benchmarks/miscellaneous/nondet_alloc.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,27 @@
#include <stdint.h>
#include <assert.h>
#include <dat3m.h>


#define MAX_SIZE 10

int main()
{
int size = __VERIFIER_nondet_int();
__VERIFIER_assume(size > 0 && size <= MAX_SIZE);
int *array = malloc(size * sizeof(int));

__VERIFIER_loop_bound(MAX_SIZE + 1);
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for (int i = 0; i < size; i++) {
array[i] = i;
}

int sum = 0;
__VERIFIER_loop_bound(MAX_SIZE + 1);
for (int i = 0; i < size; i++) {
sum += array[i];
}

// Fails if size == MAX_SIZE because then equality holds
assert(sum < (MAX_SIZE * (MAX_SIZE - 1)) / 2);
}
20 changes: 20 additions & 0 deletions benchmarks/miscellaneous/nondet_alloc_2.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,20 @@
#include <stdint.h>
#include <assert.h>
#include <dat3m.h>
#include <stdlib.h>

int main()
{
int size_int = __VERIFIER_nondet_int();
__VERIFIER_assume(size_int > 0);
// NOTE: Putting the assumption on the below <size> rather than <size_int> gives FAIL.
// This is because the non-det int value is sign-extended to size_t and so negative values are extended
// to very large sizes that can overflow, allowing the addresses of different allocations to overlap!
size_t size = (size_t)size_int;
int *array = malloc(size * sizeof(int));
int *array_2 = malloc(size * sizeof(int));

assert (array != array_2);
assert (((size_t)array) % 8 == 0);
assert (((size_t)array_2) % 8 == 0);
}
Original file line number Diff line number Diff line change
Expand Up @@ -76,6 +76,8 @@ public final class EncodingContext {
private final Map<Event, Formula> addresses = new HashMap<>();
private final Map<Event, Formula> values = new HashMap<>();
private final Map<Event, Formula> results = new HashMap<>();
private final Map<MemoryObject, Formula> objAddress = new HashMap<>();
private final Map<MemoryObject, Formula> objSize = new HashMap<>();

private EncodingContext(VerificationTask t, Context a, FormulaManager m) {
verificationTask = checkNotNull(t);
Expand Down Expand Up @@ -215,7 +217,7 @@ public BooleanFormula dependency(Event first, Event second) {
}

public Formula lastValue(MemoryObject base, int offset, int size) {
checkArgument(0 <= offset && offset < base.size(), "array index out of bounds");
checkArgument(base.isInRange(offset), "Array index out of bounds");
final String name = String.format("last_val_at_%s_%d", base, offset);
if (useIntegers) {
return formulaManager.getIntegerFormulaManager().makeVariable(name);
Expand Down Expand Up @@ -306,6 +308,10 @@ public Formula address(MemoryEvent event) {
return addresses.get(event);
}

public Formula address(MemoryObject memoryObject) { return objAddress.get(memoryObject); }

public Formula size(MemoryObject memoryObject) { return objSize.get(memoryObject); }

public Formula value(MemoryEvent event) {
return values.get(event);
}
Expand Down Expand Up @@ -370,6 +376,7 @@ public Formula makeLiteral(Type type, BigInteger value) {
}

private void initialize() {
// ------- Control flow variables -------
// Only for the standard fair progress model we can merge CF variables.
// TODO: It would also be possible for OBE/HSA in some cases if we refine the cf-equivalence classes
// to classes per thread.
Expand All @@ -386,6 +393,14 @@ private void initialize() {
controlFlowVariables.put(e, booleanFormulaManager.makeVariable("cf " + e.getGlobalId()));
}
}

// ------- Memory object variables -------
for (MemoryObject memoryObject : verificationTask.getProgram().getMemory().getObjects()) {
objAddress.put(memoryObject, makeVariable(String.format("addrof(%s)", memoryObject), memoryObject.getType()));
objSize.put(memoryObject, makeVariable(String.format("sizeof(%s)", memoryObject), memoryObject.getType()));
}

// ------- Event variables -------
for (Event e : verificationTask.getProgram().getThreadEvents()) {
if (!e.cfImpliesExec()) {
executionVariables.put(e, booleanFormulaManager.makeVariable("exec " + e.getGlobalId()));
Expand Down
Original file line number Diff line number Diff line change
@@ -0,0 +1,125 @@
package com.dat3m.dartagnan.encoding;

import com.google.common.base.Preconditions;
import org.sosy_lab.java_smt.api.*;

import java.math.BigInteger;

public class EncodingHelper {

private final FormulaManager fmgr;

public EncodingHelper(FormulaManager fmgr) {
this.fmgr = fmgr;
}

public BooleanFormula equals(Formula left, Formula right) {
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().equal(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().equal(bvLeft, bvRight);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public BooleanFormula greaterThan(Formula left, Formula right, boolean signed) {
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().greaterThan(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().greaterThan(bvLeft, bvRight, signed);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public BooleanFormula greaterOrEquals(Formula left, Formula right, boolean signed) {
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().greaterOrEquals(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().greaterOrEquals(bvLeft, bvRight, signed);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public Formula add(Formula left, Formula right) {
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().add(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().add(bvLeft, bvRight);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public Formula subtract(Formula left, Formula right) {
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().subtract(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().subtract(bvLeft, bvRight);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public Formula remainder(Formula left, Formula right) {
//FIXME: integer modulo and BV modulo have different semantics, the former is always positive, the latter
// returns a value whose sign depends on one of the two BVs.
// The results in this implementation will match if the denominator <right> is positive which is the most usual case.
if (left instanceof NumeralFormula.IntegerFormula iLeft && right instanceof NumeralFormula.IntegerFormula iRight) {
return fmgr.getIntegerFormulaManager().modulo(iLeft, iRight);
}

if (left instanceof BitvectorFormula bvLeft && right instanceof BitvectorFormula bvRight) {
final BitvectorFormulaManager bvmgr = fmgr.getBitvectorFormulaManager();
Preconditions.checkState(bvmgr.getLength(bvLeft) == bvmgr.getLength(bvRight));
return fmgr.getBitvectorFormulaManager().smodulo(bvLeft, bvRight);
}

throw new UnsupportedOperationException("Mismatching types: " + left + " and " + right);
}

public Formula value(BigInteger value, FormulaType<?> type) {
if (type.isIntegerType()) {
return fmgr.getIntegerFormulaManager().makeNumber(value);
} else if (type.isBitvectorType()) {
int size = getBitSize(type);
return fmgr.getBitvectorFormulaManager().makeBitvector(size, value);
}
throw new UnsupportedOperationException("Cannot generate value of type " + type);
}

public int getBitSize(FormulaType<?> type) {
if (type.isIntegerType()) {
return -1;
} else if (type.isBitvectorType()) {
return ((FormulaType.BitvectorType)type).getSize();
}
throw new UnsupportedOperationException("Cannot get bit-size for type " + type);
}

public FormulaType<?> typeOf(Formula formula) {
return fmgr.getFormulaType(formula);
}
}
Original file line number Diff line number Diff line change
Expand Up @@ -102,7 +102,6 @@ public Formula visitNonDetValue(NonDetValue nonDet) {

@Override
public Formula visitIntLiteral(IntLiteral intLiteral) {

BigInteger value = intLiteral.getValue();
Type type = intLiteral.getType();
return context.makeLiteral(type, value);
Expand Down Expand Up @@ -294,7 +293,7 @@ public Formula visitRegister(Register reg) {

@Override
public Formula visitMemoryObject(MemoryObject memObj) {
return context.makeVariable(memObj.toString(), memObj.getType());
return context.address(memObj);
}

@Override
Expand Down
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