/*@ public normal_behavior
@ requires rng != null;
@ ensures \result.equals(inverse().image(rng));
@
@ implies_that
@ ensures \result != null && !\result.containsNull;
@*/
public /*@ non_null @*/ JMLEqualsSet inverseImage(/*@ non_null @*/ JMLEqualsSet rng) {
JMLEqualsSet invImg = new JMLEqualsSet();
JMLEqualsToEqualsRelationImageEnumerator imagePairEnum = this.imagePairs();
JMLEqualsValuePair imagePair;
// @ loop_invariant !invImg.containsNull;
while (imagePairEnum.hasMoreElements()) { // @ nowarn LoopInv;
imagePair = imagePairEnum.nextImagePair();
// @ assume imagePair.value != null && imagePair.key != null;
// @ assume imagePair.value instanceof JMLEqualsSet;
JMLEqualsSet img = (JMLEqualsSet) imagePair.value;
if (!img.intersection(rng).isEmpty()) {
invImg = invImg.insert(imagePair.key);
}
}
return invImg;
} // @ nowarn Exception;
/*@ public normal_behavior
@ requires dom != null;
@ ensures (\forall JMLEqualsEqualsPair pair; pair != null;
@ \result.theRelation.has(pair) == dom.has(pair.key)
@ && elementImage(pair.key).has(pair.value)
@ );
@*/
public /*@ non_null @*/ JMLEqualsToEqualsRelation restrictDomainTo(
/*@ non_null @*/ JMLEqualsSet dom) {
JMLValueSet newImagePairSet = new JMLValueSet();
JMLEqualsSet newDom = domain_.intersection(dom);
// @ assume (\forall Object dv; newDom.has(dv); dv != null);
int newSize = 0;
JMLEqualsToEqualsRelationImageEnumerator imagePairEnum = this.imagePairs();
JMLEqualsValuePair imagePair;
JMLEqualsSet img;
while (imagePairEnum.hasMoreElements()) {
imagePair = imagePairEnum.nextImagePair();
// @ assume imagePair.value != null;
// @ assume imagePair.value instanceof JMLEqualsSet;
if (newDom.has(imagePair.key)) {
newImagePairSet = newImagePairSet.insert(imagePair);
img = (JMLEqualsSet) imagePair.value;
newSize = newSize + img.int_size();
}
}
return new JMLEqualsToEqualsRelation(newImagePairSet, newDom, newSize);
} // @ nowarn Exception;
/*@ public normal_behavior
@ requires othRel != null;
@ ensures \result.theRelation.equals(
@ this.theRelation.intersection(othRel.theRelation));
@*/
public /*@ non_null @*/ JMLEqualsToEqualsRelation intersection(
/*@ non_null @*/ JMLEqualsToEqualsRelation othRel) {
JMLValueSet newImagePairSet = new JMLValueSet();
JMLEqualsSet newDom = new JMLEqualsSet();
int newSize = 0;
JMLEqualsToEqualsRelationImageEnumerator imagePairEnum = this.imagePairs();
JMLEqualsValuePair imagePair;
JMLEqualsSet img;
while (imagePairEnum.hasMoreElements()) {
imagePair = imagePairEnum.nextImagePair();
// @ assume imagePair.value != null;
// @ assume imagePair.value instanceof JMLEqualsSet;
img = (JMLEqualsSet) imagePair.value;
img = img.intersection(othRel.elementImage(imagePair.key));
if (!img.isEmpty()) {
newImagePairSet = newImagePairSet.insert(new JMLEqualsValuePair(imagePair.key, img));
newDom = newDom.insert(imagePair.key);
newSize = newSize + img.int_size();
}
}
return new JMLEqualsToEqualsRelation(newImagePairSet, newDom, newSize);
} // @ nowarn Exception;
