@Override
public final void compute() {
String testType;
if (tail.getTextString().equals("<")) {
testType = "left";
} else if (tail.getTextString().equals(">")) {
testType = "right";
} else if (StringUtil.isNotEqual(tail.getTextString())) {
testType = "two";
} else {
result.setUndefined();
return;
}
double n1 = n.getDouble();
double phat1 = proportion.getDouble();
double n2 = n_2.getDouble();
double phat2 = proportion2.getDouble();
double x1 = phat1 * n1;
double x2 = phat2 * n2;
double phatTotal = (x1 + x2) / (n1 + n2);
se = Math.sqrt(phatTotal * (1 - phatTotal) * (1 / n1 + 1 / n2));
double testStatistic = (phat1 - phat2) / se;
NormalDistributionImpl normalDist = new NormalDistributionImpl(0, 1);
double P = 0;
try {
P = normalDist.cumulativeProbability(testStatistic);
} catch (Exception e) {
result.setUndefined();
return;
}
if ("right".equals(testType)) {
P = 1 - P;
} else if ("two".equals(testType)) {
if (testStatistic < 0) {
P = 2 * P;
} else {
P = 2 * (1 - P);
}
}
// put these results into the output list
result.clear();
result.addNumber(P, null);
result.addNumber(testStatistic, null);
}
/** Heavy computation of the proof. */
public final void initialCompute() {
// Create and initialize the prover
Prover p = UtilFactory.getPrototype().newProver();
ProverSettings proverSettings = ProverSettings.get();
if ("OpenGeoProver".equalsIgnoreCase(proverSettings.proverEngine)) {
if ("Wu".equalsIgnoreCase(proverSettings.proverMethod))
p.setProverEngine(ProverEngine.OPENGEOPROVER_WU);
else if ("Area".equalsIgnoreCase(proverSettings.proverMethod))
p.setProverEngine(ProverEngine.OPENGEOPROVER_AREA);
} else if ("Botana".equalsIgnoreCase(proverSettings.proverEngine))
p.setProverEngine(ProverEngine.BOTANAS_PROVER);
else if ("Recio".equalsIgnoreCase(proverSettings.proverEngine))
p.setProverEngine(ProverEngine.RECIOS_PROVER);
else if ("PureSymbolic".equalsIgnoreCase(proverSettings.proverEngine))
p.setProverEngine(ProverEngine.PURE_SYMBOLIC_PROVER);
else if ("Auto".equalsIgnoreCase(proverSettings.proverEngine))
p.setProverEngine(ProverEngine.AUTO);
p.setTimeout(proverSettings.proverTimeout);
p.setConstruction(cons);
p.setStatement(root);
// Compute extra NDG's:
p.setReturnExtraNDGs(true);
// Adding benchmarking:
double startTime = cons.getApplication().getMillisecondTime();
p.compute(); // the computation of the proof
int elapsedTime = (int) (cons.getApplication().getMillisecondTime() - startTime);
/*
* Don't remove this. It is needed for automated testing. (String match
* is assumed.)
*/
Log.debug("Benchmarking: " + elapsedTime + " ms");
ProofResult proofresult = p.getProofResult();
ExtendedBoolean result = p.getYesNoAnswer();
Log.debug("STATEMENT IS " + proofresult + " (yes/no: " + result + ")");
if (proofresult == ProofResult.PROCESSING) {
list.setUndefined();
return;
}
list.setDefined(true);
list.clear();
if (!ExtendedBoolean.UNKNOWN.equals(result)) {
Boolean unreadable = null;
if (proofresult == ProofResult.TRUE_NDG_UNREADABLE) {
unreadable = true;
}
if (proofresult == ProofResult.TRUE) {
unreadable = false;
}
GeoBoolean answer = new GeoBoolean(cons);
answer.setValue(result.boolVal());
list.add(answer);
if (result.boolVal()) {
HashSet<NDGCondition> ndgresult = p.getNDGConditions();
GeoList ndgConditionsList = new GeoList(cons);
ndgConditionsList.clear();
ndgConditionsList.setDrawAsComboBox(true);
Iterator<NDGCondition> it = ndgresult.iterator();
TreeSet<GeoText> sortedSet = new TreeSet<GeoText>(GeoText.getComparator());
// Collecting the set of NDG conditions.
// The OGP data collector may left some unreadable conditions
// so we make sure if the condition is readable.
while (!unreadable && it.hasNext()) {
GeoText ndgConditionText = new GeoText(cons);
NDGCondition ndgc = it.next();
// Do not print unnecessary conditions:
if (ndgc.getReadability() > 0) {
ndgc.rewrite(cons);
String s = null;
if (relTool) {
String cond = ndgc.getCondition();
if ("AreParallel".equals(cond)) {
// non-parallism in 2D means intersecting
// FIXME: this is not true for 3D
s =
RelationNumerical.intersectString(
ndgc.getGeos()[0], ndgc.getGeos()[1], true, getLoc());
} else if ("AreCollinear".equals(cond)) {
s =
RelationNumerical.triangleNonDegenerateString(
(GeoPoint) ndgc.getGeos()[0],
(GeoPoint) ndgc.getGeos()[1],
(GeoPoint) ndgc.getGeos()[2],
getLoc());
} else if ("AreEqual".equals(cond)) {
s =
RelationNumerical.equalityString(
ndgc.getGeos()[0], ndgc.getGeos()[1], false, getLoc());
} else if ("ArePerpendicular".equals(cond)) {
s =
RelationNumerical.perpendicularString(
(GeoLine) ndgc.getGeos()[0], (GeoLine) ndgc.getGeos()[1], false, getLoc());
} else if ("AreCongruent".equals(cond)) {
s =
RelationNumerical.congruentSegmentString(
ndgc.getGeos()[0], ndgc.getGeos()[1], false, getLoc());
}
}
if (s == null || !relTool) {
GeoElement[] geos = ndgc.getGeos();
if (geos == null) { // formula with quantities
s = ndgc.getCondition();
} else {
s = getLoc().getCommand(ndgc.getCondition());
s += "[";
for (int i = 0; i < ndgc.getGeos().length; ++i) {
if (i > 0) {
s += ',';
}
/*
* There can be a case when the underlying
* prover sends such objects which cannot be
* understood by GeoGebra. In this case we
* use the "Objects" word. In this case we
* normally return ProveResult.UNKNOWN to
* not confuse the student, but for sure, we
* still do the check here as well.
*/
GeoElement geo = ndgc.getGeos()[i];
if (geo != null) s += ndgc.getGeos()[i].getLabelSimple();
else s += "...";
}
s += "]";
if (relTool) {
s = getLoc().getPlain("not") + " " + s;
}
}
}
ndgConditionText.setTextString(s);
ndgConditionText.setLabelVisible(false);
ndgConditionText.setEuclidianVisible(false);
sortedSet.add(ndgConditionText);
}
// For alphabetically ordering, we need a sorted set here:
}
// Copy the sorted list into the output:
Iterator<GeoText> it2 = sortedSet.iterator();
while (it2.hasNext()) {
ndgConditionsList.add(it2.next());
}
if (unreadable) {
GeoText ndgConditionText = new GeoText(cons);
String cond = "...";
ndgConditionText.setTextString(cond);
ndgConditionText.setLabelVisible(false);
ndgConditionText.setEuclidianVisible(false);
sortedSet.add(ndgConditionText);
ndgConditionsList.add(ndgConditionText);
}
// Put this list to the final output (if non-empty):
if (ndgConditionsList.size() > 0) list.add(ndgConditionsList);
}
}
/*
* Don't remove this. It is needed for testing the web platform. (String
* match is assumed.)
*/
Log.debug("OUTPUT for ProveDetails: " + list);
}