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package org.shapelogic.machinelearning;

import junit.framework.TestCase;

/** Test of Feed Forward Neural Network with external training. <br />
*
* The bias is considered the zeroth element of the synaptic weight.
*
* @author Sami Badawi
*/
public class FFNeuralNetworkTest extends TestCase {

/** Weights found using the Joone Neural Networks. */
public final static double[][] WEIGHTS_FOR_XOR = {
{
//Output 0 , 1 , 2
2.7388686085992333, 5.505721328606976, 4.235258932026585, //bias
//Input
-6.598582463774703, -3.678198637390036, -2.9604962169635076, // 0
-6.59030690954159, -3.7790406961228347, -2.845930422442215 // 1
},
{ //Output 0
-5.27100082610628, //Bias for hidden second layer
//Input
-10.45330943056037, // 0
6.582922049952558, // 1
4.7139611039662945 // 2
}
};

/** Logic And as a neural network. */
public final static double[][] WEIGHTS_FOR_AND = {
{
-1.5, //Bias first hidden layer

1.,
1.
}
};

/** Logic Or as a neural network. */
public final static double[][] WEIGHTS_FOR_OR = {
{
-0.5, //Bias first hidden layer

1.,
1.
}
};

/** Logic Not as a neural network. */
public final static double[][] WEIGHTS_FOR_NOT = {
{
0.5, //Bias first hidden layer

-1.
}
};

/** Logic Identity as a neural network. */
public final static double[][] WEIGHTS_IDENTITY_1_1 = {
{
0., //Bias first hidden layer

1.
}
};

/** Logic Or as a neural network. */
public final static double[][] WEIGHTS_FOR_OR_MULTI_LAYER = {
{
-0.5, //Bias first hidden layer

1.,
1.
},
{
-0.5, //Bias second hidden layer, not that it is not the identity

1.
}
};

public void testConstructor() {
FFNeuralNetwork nn = new FFNeuralNetwork(2,1);
assertEquals(2,nn.nInputNodes);
assertEquals(1,nn.nOutputNodes);
}

private FFNeuralNetwork makeXORNNIndividual() {
FFNeuralNetwork xOrNn = new FFNeuralNetwork(2,1);
xOrNn.addLayer(WEIGHTS_FOR_XOR[0]);
xOrNn.addLayer(WEIGHTS_FOR_XOR[1]);
return xOrNn;
}

static public FFNeuralNetwork makeORNNMultiLayeredFlawed() {
FFNeuralNetwork orNn = new FFNeuralNetwork(2,1);
orNn.addLayer(WEIGHTS_FOR_OR[0]);
orNn.addLayer(WEIGHTS_IDENTITY_1_1[0]);
return orNn;
}

private FFNeuralNetwork makeXORNN() {
FFNeuralNetwork xOrNn = new FFNeuralNetwork(2,1);
xOrNn.addLayers(WEIGHTS_FOR_XOR);
return xOrNn;
}

private FFNeuralNetwork makeAndNN() {
FFNeuralNetwork andNn = new FFNeuralNetwork(2,1);
andNn.addLayer(WEIGHTS_FOR_AND[0]);
return andNn;
}

private FFNeuralNetwork makeOrNN() {
FFNeuralNetwork orNn = new FFNeuralNetwork(2,1);
orNn.addLayer(WEIGHTS_FOR_OR[0]);
return orNn;
}

private FFNeuralNetwork makeNotNN() {
FFNeuralNetwork notNn = new FFNeuralNetwork(1,1);
notNn.addLayer(WEIGHTS_FOR_NOT[0]);
return notNn;
}

//======================XOR NN======================

public void testXORNeuralNetwork00() {
FFNeuralNetwork xOrNn = new FFNeuralNetwork(2,1);
assertEquals(2, xOrNn.nInputNodes);
assertEquals(1, xOrNn.nOutputNodes);
assertEquals(2, xOrNn.getLayerNodesInTopLayer());
assertTrue(xOrNn.addLayer(WEIGHTS_FOR_XOR[0]));
assertEquals(3, xOrNn.getLayerNodesInTopLayer());
assertTrue(xOrNn.addLayer(WEIGHTS_FOR_XOR[1]));
assertEquals(1, xOrNn.getLayerNodesInTopLayer());
double[] result = xOrNn.invoke(new double[]{0.,0.});
assertNotNull(result);
assertEquals(1, result.length);
assertNNFalse(result[0]);
}

public void testXORNeuralNetwork01() {
FFNeuralNetwork xOrNn = makeXORNNIndividual();
assertNNTrue( xOrNn.invoke(new double[]{0.,1.})[0]);
}

public void testXORNeuralNetwork10() {
FFNeuralNetwork xOrNn = makeXORNN();
assertNNTrue( xOrNn.invoke(new double[]{1.,0.})[0]);
}

public void testXORNeuralNetwork11() {
FFNeuralNetwork xOrNn = makeXORNN();
assertNNFalse( xOrNn.invoke(new double[]{1.,1.})[0]);
}

//======================AND NN======================

public void testAndNeuralNetwork00() {
FFNeuralNetwork xOrNn = makeAndNN();
assertNNFalse( xOrNn.invoke(new double[]{0.,0.})[0]);
}

public void testAndNeuralNetwork01() {
FFNeuralNetwork xOrNn = makeAndNN();
assertNNFalse( xOrNn.invoke(new double[]{0.,1.})[0]);
}

public void testAndNeuralNetwork10() {
FFNeuralNetwork xOrNn = makeAndNN();
assertNNFalse( xOrNn.invoke(new double[]{1.,0.})[0]);
}

public void testAndNeuralNetwork11() {
FFNeuralNetwork xOrNn = makeAndNN();
assertNNTrue( xOrNn.invoke(new double[]{1.,1.})[0]);
}


//======================OR NN======================

public void testOrNeuralNetwork00() {
FFNeuralNetwork xOrNn = makeOrNN();
assertNNFalse( xOrNn.invoke(new double[]{0.,0.})[0]);
}

public void testOrNeuralNetwork01() {
FFNeuralNetwork xOrNn = makeOrNN();
assertNNTrue( xOrNn.invoke(new double[]{0.,1.})[0]);
}

public void testOrNeuralNetwork10() {
FFNeuralNetwork xOrNn = makeOrNN();
assertNNTrue( xOrNn.invoke(new double[]{1.,0.})[0]);
}

public void testOrNeuralNetwork11() {
FFNeuralNetwork xOrNn = makeOrNN();
assertNNTrue( xOrNn.invoke(new double[]{1.,1.})[0]);
}

//======================OR and Identity layer, does not produce an OR ======================

public void testOrMultiLayeredNeuralNetwork00() {
FFNeuralNetwork xOrNn = makeORNNMultiLayeredFlawed();
assertNNTrue( xOrNn.invoke(new double[]{0.,0.})[0]);
}

public void testOrMultiLayeredNeuralNetwork01() {
FFNeuralNetwork xOrNn = makeORNNMultiLayeredFlawed();
assertNNTrue( xOrNn.invoke(new double[]{0.,1.})[0]);
}

public void testOrMultiLayeredNeuralNetwork10() {
FFNeuralNetwork xOrNn = makeORNNMultiLayeredFlawed();
assertNNTrue( xOrNn.invoke(new double[]{1.,0.})[0]);
}

public void testOrMultiLayeredNeuralNetwork11() {
FFNeuralNetwork xOrNn = makeORNNMultiLayeredFlawed();
assertNNTrue( xOrNn.invoke(new double[]{1.,1.})[0]);
}

//======================NOT NN======================

public void testNotNeuralNetwork0() {
FFNeuralNetwork xOrNn = makeNotNN();
assertNNTrue( xOrNn.invoke(new double[]{0.})[0]);
}

public void testNotNeuralNetwork1() {
FFNeuralNetwork xOrNn = makeNotNN();
assertNNFalse( xOrNn.invoke(new double[]{1.})[0]);
}

public void testSigmoidFunction() {
FFNeuralNetwork xOrNn = makeXORNN();
assertEquals( 0.5, xOrNn.transform(0));
assertEquals( 0.9999546021312976, xOrNn.transform(10));
assertEquals( 4.5397868702434395E-5, xOrNn.transform(-10));
}

public static void assertNNTrue(double input) {
boolean result = 0.5 < input;
if (!result)
System.out.println("input: " + input);
assertTrue(result);
}

public static void assertNNFalse(double input) {
boolean result = input <= 0.5;
if (!result)
System.out.println("input: " + input);
assertTrue(result);
}
}

Change log

r1153 by sami.badawi on May 13, 2009   Diff
Update documentation for ShapeLogic 1.6.
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Older revisions

r1149 by sami.badawi on May 13, 2009   Diff
Added test for multi layered neural
network.
r1039 by sami.badawi on Apr 6, 2009   Diff
Made helper methods static.
r1036 by sami.badawi on Apr 6, 2009   Diff
New addLayers() that adds all layers
in one step.
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