public void testAdd() {
int num1 = 3;
int num2 = 2;
int total = 5;
int sum = 0;
sum = Math.add(num1, num2);
assertEquals(sum, total);
}
public void testMinStep() {
try {
TestProblem5 pb = new TestProblem5();
double minStep = 0.1 * Math.abs(pb.getFinalTime() - pb.getInitialTime());
double maxStep = Math.abs(pb.getFinalTime() - pb.getInitialTime());
double[] vecAbsoluteTolerance = {1.0e-20, 1.0e-21};
double[] vecRelativeTolerance = {1.0e-20, 1.0e-21};
FirstOrderIntegrator integ =
new GraggBulirschStoerIntegrator(
minStep, maxStep,
vecAbsoluteTolerance, vecRelativeTolerance);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(
pb,
pb.getInitialTime(),
pb.getInitialState(),
pb.getFinalTime(),
new double[pb.getDimension()]);
fail("an exception should have been thrown");
} catch (DerivativeException de) {
fail("wrong exception caught");
} catch (IntegratorException ie) {
}
}
/** Test of generateQAMSignal method, of class simulator.qam.FadingNoisyQAM. */
public void testGenerateQAMSignal() {
System.out.println("generateQAMSignal");
FadingNoisyQAM instance = new FadingNoisyQAM();
double[] xr = instance.getTransmittedRealQAMSignal();
double[] xi = instance.getTransmittedImagQAMSignal();
for (int i = 0; i < xr.length; i++) {
assertEquals(true, Math.abs(xr[i]) <= 7);
assertEquals(true, Math.abs(xr[i]) <= 7);
}
}
public void testMulitply() {
int num1 = 3;
int num2 = 7;
int total = 14;
int sum = 0;
sum = Math.multiply(num1, num2);
assertEquals("Problem with multiply", sum, total);
num1 = 5;
num2 = 4;
total = 20;
sum = Math.multiply(num1, num2);
assertEquals("Problem with multiply", sum, total);
}
private double computeFitness(IGPProgram a_program, Variable vx) {
double error = 0.0f;
Object[] noargs = new Object[0];
// Initialize local stores.
// ------------------------
a_program.getGPConfiguration().clearStack();
a_program.getGPConfiguration().clearMemory();
// Compute fitness for each program.
// ---------------------------------
for (int i = 2; i < 15; i++) {
for (int j = 0; j < a_program.size(); j++) {
vx.set(new Integer(i));
try {
try {
// Only evaluate after whole GP program was run.
// ---------------------------------------------
if (j == a_program.size() - 1) {
double result = a_program.execute_int(j, noargs);
error += Math.abs(result - fib_iter(i));
} else {
a_program.execute_void(j, noargs);
}
} catch (IllegalStateException iex) {
error = Double.MAX_VALUE / 2;
break;
}
} catch (ArithmeticException ex) {
System.out.println("Arithmetic Exception with x = " + i);
System.out.println(a_program.getChromosome(j));
throw ex;
}
}
}
return error;
}
public void testModelsMerging() throws DerivativeException, IntegratorException {
// theoretical solution: y[0] = cos(t), y[1] = sin(t)
FirstOrderDifferentialEquations problem =
new FirstOrderDifferentialEquations() {
public void computeDerivatives(double t, double[] y, double[] dot)
throws DerivativeException {
dot[0] = -y[1];
dot[1] = y[0];
}
public int getDimension() {
return 2;
}
};
// integrate backward from π to 0;
ContinuousOutputModel cm1 = new ContinuousOutputModel();
FirstOrderIntegrator integ1 = new DormandPrince853Integrator(0, 1.0, 1.0e-8, 1.0e-8);
integ1.setStepHandler(cm1);
integ1.integrate(problem, Math.PI, new double[] {-1.0, 0.0}, 0, new double[2]);
// integrate backward from 2π to π
ContinuousOutputModel cm2 = new ContinuousOutputModel();
FirstOrderIntegrator integ2 = new DormandPrince853Integrator(0, 0.1, 1.0e-12, 1.0e-12);
integ2.setStepHandler(cm2);
integ2.integrate(problem, 2.0 * Math.PI, new double[] {1.0, 0.0}, Math.PI, new double[2]);
// merge the two half circles
ContinuousOutputModel cm = new ContinuousOutputModel();
cm.append(cm2);
cm.append(new ContinuousOutputModel());
cm.append(cm1);
// check circle
assertEquals(2.0 * Math.PI, cm.getInitialTime(), 1.0e-12);
assertEquals(0, cm.getFinalTime(), 1.0e-12);
assertEquals(cm.getFinalTime(), cm.getInterpolatedTime(), 1.0e-12);
for (double t = 0; t < 2.0 * Math.PI; t += 0.1) {
cm.setInterpolatedTime(t);
double[] y = cm.getInterpolatedState();
assertEquals(Math.cos(t), y[0], 1.0e-7);
assertEquals(Math.sin(t), y[1], 1.0e-7);
}
}
public void handleStep(StepInterpolator interpolator, boolean isLast) {
double step = Math.abs(interpolator.getCurrentTime() - interpolator.getPreviousTime());
if (firstTime) {
minStep = Math.abs(step);
maxStep = minStep;
firstTime = false;
} else {
if (step < minStep) {
minStep = step;
}
if (step > maxStep) {
maxStep = step;
}
}
if (isLast) {
assertTrue(minStep < 8.2e-3);
assertTrue(maxStep > 1.7);
}
}
protected void setUp() throws AWTException {
// set up the kRobot for grabbing colors
if (kRobot == null) {
kRobot = new Robot();
}
// Set up probe points just off the test lines
if (kProbePoints == null) {
kProbePoints = new Point[kRects.length * 2];
for (int i = 0; i < kRects.length; i++) {
int midW = (int) Math.rint(kRects[i].width / 2.0);
int midH = (int) Math.rint(kRects[i].height / 2.0);
if (kRects[i].width > kRects[i].height) {
kProbePoints[2 * i] = new Point(kRects[i].x + midW + 1, kRects[i].y + midH);
kProbePoints[2 * i + 1] = new Point(kRects[i].x + midW, kRects[i].y + midH + 1);
} else {
kProbePoints[2 * i] = new Point(kRects[i].x + midW - 1, kRects[i].y + midH);
kProbePoints[2 * i + 1] = new Point(kRects[i].x + midW, kRects[i].y + midH - 1);
}
}
}
}
// test offset only gets applied once
public void testWrapOnce() throws IOException {
String filename = TestAll.cdmUnitTestDir + "ncml/coords/testCoordScaling.ncml";
System.out.printf("%s%n", filename);
NetcdfDataset ncd = ucar.nc2.dataset.NetcdfDataset.openDataset(filename);
Variable v = ncd.findCoordinateAxis("Longitude");
assert v != null;
assert v instanceof CoordinateAxis1D;
// if offset is applied twice, the result is not in +-180 range
Array data = v.read();
NCdumpW.printArray(data);
IndexIterator ii = data.getIndexIterator();
while (ii.hasNext()) {
assert Math.abs(ii.getDoubleNext()) < 180 : ii.getDoubleCurrent();
}
}
public void testIncreasingTolerance() throws DerivativeException, IntegratorException {
int previousCalls = Integer.MAX_VALUE;
for (int i = -12; i < -4; ++i) {
TestProblem1 pb = new TestProblem1();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double absTolerance = Math.pow(10.0, i);
double relTolerance = absTolerance;
FirstOrderIntegrator integ =
new GraggBulirschStoerIntegrator(
minStep, maxStep,
absTolerance, relTolerance);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(
pb,
pb.getInitialTime(),
pb.getInitialState(),
pb.getFinalTime(),
new double[pb.getDimension()]);
// the coefficients are only valid for this test
// and have been obtained from trial and error
// there is no general relation between local and global errors
double ratio = handler.getMaximalValueError() / absTolerance;
assertTrue(ratio < 2.4);
assertTrue(ratio > 0.02);
assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
int calls = pb.getCalls();
assertEquals(integ.getEvaluations(), calls);
assertTrue(calls <= previousCalls);
previousCalls = calls;
}
}
public void checkValue(double value, double reference) {
assertTrue(Math.abs(value - reference) < 1.0e-10);
}
boolean close(double d1, double d2) {
return Math.abs(d1 - d2) < TOLERENCE;
}
public static double testCostAndGradientCurrentParameters(Minimizable.ByGradient minable) {
Matrix parameters = minable.getParameters(minable.getNewMatrix());
double cost = minable.getCost();
// the gradient from the minimizable function
Matrix analyticGradient = minable.getCostGradient(minable.getNewMatrix());
// the gradient calculate from the slope of the cost
Matrix empiricalGradient = (Matrix) analyticGradient.cloneMatrix();
// This setting of epsilon should make the individual elements of
// the analytical gradient and the empirical gradient equal. This
// simplifies the comparison of the individual dimensions of the
// gradient and thus makes debugging easier.
double epsilon = 0.1 / analyticGradient.twoNorm();
double tolerance = epsilon * 5;
System.out.println("epsilon = " + epsilon + " tolerance=" + tolerance);
// Check each direction, perturb it, measure new cost,
// and make sure it agrees with the gradient from minable.getCostGradient()
for (int i = 0; i < parameters.singleSize(); i++) {
double param = parameters.singleValue(i);
parameters.setSingleValue(i, param + epsilon);
// logger.fine ("Parameters:"); parameters.print();
minable.setParameters(parameters);
double epsCost = minable.getCost();
double slope = (epsCost - cost) / epsilon;
System.out.println(
"cost="
+ cost
+ " epsCost="
+ epsCost
+ " slope["
+ i
+ "] = "
+ slope
+ " gradient[]="
+ analyticGradient.singleValue(i));
assert (!Double.isNaN(slope));
logger.fine(
"TestMinimizable checking singleIndex "
+ i
+ ": gradient slope = "
+ analyticGradient.singleValue(i)
+ ", cost+epsilon slope = "
+ slope
+ ": slope difference = "
+ Math.abs(slope - analyticGradient.singleValue(i)));
// No negative below because the gradient points in the direction
// of maximizing the function.
empiricalGradient.setSingleValue(i, slope);
parameters.setSingleValue(i, param);
}
// Normalize the matrices to have the same L2 length
System.out.println("empiricalGradient.twoNorm = " + empiricalGradient.twoNorm());
analyticGradient.timesEquals(1.0 / analyticGradient.twoNorm());
empiricalGradient.timesEquals(1.0 / empiricalGradient.twoNorm());
// logger.info ("AnalyticGradient:"); analyticGradient.print();
// logger.info ("EmpiricalGradient:"); empiricalGradient.print();
// Return the angle between the two vectors, in radians
double angle = Math.acos(analyticGradient.dotProduct(empiricalGradient));
logger.info("TestMinimizable angle = " + angle);
if (Math.abs(angle) > tolerance)
throw new IllegalStateException("Gradient/Cost mismatch: angle=" + angle);
if (Double.isNaN(angle)) throw new IllegalStateException("Gradient/Cost error: angle is NaN!");
return angle;
}
private void checkValue(double value, double expected) {
assertTrue(Math.abs(value - expected) < 1.0e-10);
}
