@Test
public void testOuterProduct() {
final ArrayFieldVector<Fraction> u =
new ArrayFieldVector<Fraction>(
FractionField.getInstance(),
new Fraction[] {new Fraction(1), new Fraction(2), new Fraction(-3)});
final ArrayFieldVector<Fraction> v =
new ArrayFieldVector<Fraction>(
FractionField.getInstance(), new Fraction[] {new Fraction(4), new Fraction(-2)});
final FieldMatrix<Fraction> uv = u.outerProduct(v);
final double tol = Math.ulp(1d);
Assert.assertEquals(new Fraction(4).doubleValue(), uv.getEntry(0, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(-2).doubleValue(), uv.getEntry(0, 1).doubleValue(), tol);
Assert.assertEquals(new Fraction(8).doubleValue(), uv.getEntry(1, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(-4).doubleValue(), uv.getEntry(1, 1).doubleValue(), tol);
Assert.assertEquals(new Fraction(-12).doubleValue(), uv.getEntry(2, 0).doubleValue(), tol);
Assert.assertEquals(new Fraction(6).doubleValue(), uv.getEntry(2, 1).doubleValue(), tol);
}
@Test
public void testZeroVectors() {
// when the field is not specified, array cannot be empty
try {
new ArrayFieldVector<Fraction>(new Fraction[0]);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
new ArrayFieldVector<Fraction>(new Fraction[0], true);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
try {
new ArrayFieldVector<Fraction>(new Fraction[0], false);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
// when the field is specified, array can be empty
Assert.assertEquals(
0,
new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0])
.getDimension());
Assert.assertEquals(
0,
new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0], true)
.getDimension());
Assert.assertEquals(
0,
new ArrayFieldVector<Fraction>(FractionField.getInstance(), new Fraction[0], false)
.getDimension());
}
@Test
public void testConstructors() {
ArrayFieldVector<Fraction> v0 = new ArrayFieldVector<Fraction>(FractionField.getInstance());
Assert.assertEquals(0, v0.getDimension());
ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), 7);
Assert.assertEquals(7, v1.getDimension());
Assert.assertEquals(new Fraction(0), v1.getEntry(6));
ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(5, new Fraction(123, 100));
Assert.assertEquals(5, v2.getDimension());
Assert.assertEquals(new Fraction(123, 100), v2.getEntry(4));
ArrayFieldVector<Fraction> v3 =
new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec1);
Assert.assertEquals(3, v3.getDimension());
Assert.assertEquals(new Fraction(2), v3.getEntry(1));
ArrayFieldVector<Fraction> v4 =
new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec4, 3, 2);
Assert.assertEquals(2, v4.getDimension());
Assert.assertEquals(new Fraction(4), v4.getEntry(0));
try {
new ArrayFieldVector<Fraction>(vec4, 8, 3);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
FieldVector<Fraction> v5_i = new ArrayFieldVector<Fraction>(dvec1);
Assert.assertEquals(9, v5_i.getDimension());
Assert.assertEquals(new Fraction(9), v5_i.getEntry(8));
ArrayFieldVector<Fraction> v5 = new ArrayFieldVector<Fraction>(dvec1);
Assert.assertEquals(9, v5.getDimension());
Assert.assertEquals(new Fraction(9), v5.getEntry(8));
ArrayFieldVector<Fraction> v6 = new ArrayFieldVector<Fraction>(dvec1, 3, 2);
Assert.assertEquals(2, v6.getDimension());
Assert.assertEquals(new Fraction(4), v6.getEntry(0));
try {
new ArrayFieldVector<Fraction>(dvec1, 8, 3);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// expected behavior
}
ArrayFieldVector<Fraction> v7 = new ArrayFieldVector<Fraction>(v1);
Assert.assertEquals(7, v7.getDimension());
Assert.assertEquals(new Fraction(0), v7.getEntry(6));
FieldVectorTestImpl<Fraction> v7_i = new FieldVectorTestImpl<Fraction>(vec1);
ArrayFieldVector<Fraction> v7_2 = new ArrayFieldVector<Fraction>(v7_i);
Assert.assertEquals(3, v7_2.getDimension());
Assert.assertEquals(new Fraction(2), v7_2.getEntry(1));
ArrayFieldVector<Fraction> v8 = new ArrayFieldVector<Fraction>(v1, true);
Assert.assertEquals(7, v8.getDimension());
Assert.assertEquals(new Fraction(0), v8.getEntry(6));
Assert.assertNotSame("testData not same object ", v1.getDataRef(), v8.getDataRef());
ArrayFieldVector<Fraction> v8_2 = new ArrayFieldVector<Fraction>(v1, false);
Assert.assertEquals(7, v8_2.getDimension());
Assert.assertEquals(new Fraction(0), v8_2.getEntry(6));
Assert.assertArrayEquals(v1.getDataRef(), v8_2.getDataRef());
ArrayFieldVector<Fraction> v9 = new ArrayFieldVector<Fraction>(v1, v3);
Assert.assertEquals(10, v9.getDimension());
Assert.assertEquals(new Fraction(1), v9.getEntry(7));
}
