| /* |
| * Licensed to the Apache Software Foundation (ASF) under one or more |
| * contributor license agreements. See the NOTICE file distributed with |
| * this work for additional information regarding copyright ownership. |
| * The ASF licenses this file to You under the Apache License, Version 2.0 |
| * (the "License"); you may not use this file except in compliance with |
| * the License. You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| package org.apache.commons.math3.linear; |
| |
| import java.io.Serializable; |
| import java.lang.reflect.Array; |
| import java.util.Arrays; |
| |
| import org.apache.commons.math3.Field; |
| import org.apache.commons.math3.FieldElement; |
| import org.apache.commons.math3.TestUtils; |
| import org.apache.commons.math3.exception.MathIllegalArgumentException; |
| import org.apache.commons.math3.exception.NumberIsTooSmallException; |
| import org.apache.commons.math3.exception.OutOfRangeException; |
| import org.apache.commons.math3.fraction.Fraction; |
| import org.apache.commons.math3.fraction.FractionField; |
| import org.junit.Assert; |
| import org.junit.Test; |
| |
| /** |
| * Test cases for the {@link ArrayFieldVector} class. |
| * |
| */ |
| public class ArrayFieldVectorTest { |
| |
| // |
| protected Fraction[][] ma1 = { |
| {new Fraction(1), new Fraction(2), new Fraction(3)}, |
| {new Fraction(4), new Fraction(5), new Fraction(6)}, |
| {new Fraction(7), new Fraction(8), new Fraction(9)} |
| }; |
| protected Fraction[] vec1 = {new Fraction(1), new Fraction(2), new Fraction(3)}; |
| protected Fraction[] vec2 = {new Fraction(4), new Fraction(5), new Fraction(6)}; |
| protected Fraction[] vec3 = {new Fraction(7), new Fraction(8), new Fraction(9)}; |
| protected Fraction[] vec4 = { new Fraction(1), new Fraction(2), new Fraction(3), |
| new Fraction(4), new Fraction(5), new Fraction(6), |
| new Fraction(7), new Fraction(8), new Fraction(9)}; |
| protected Fraction[] vec_null = {Fraction.ZERO, Fraction.ZERO, Fraction.ZERO}; |
| protected Fraction[] dvec1 = {new Fraction(1), new Fraction(2), new Fraction(3), |
| new Fraction(4), new Fraction(5), new Fraction(6), |
| new Fraction(7), new Fraction(8), new Fraction(9)}; |
| protected Fraction[][] mat1 = { |
| {new Fraction(1), new Fraction(2), new Fraction(3)}, |
| {new Fraction(4), new Fraction(5), new Fraction(6)}, |
| {new Fraction(7), new Fraction(8), new Fraction(9)} |
| }; |
| |
| // Testclass to test the FieldVector<Fraction> interface |
| // only with enough content to support the test |
| public static class FieldVectorTestImpl<T extends FieldElement<T>> |
| implements FieldVector<T>, Serializable { |
| |
| private static final long serialVersionUID = 3970959016014158539L; |
| |
| private final Field<T> field; |
| |
| /** Entries of the vector. */ |
| protected T[] data; |
| |
| /** Build an array of elements. |
| * @param length size of the array to build |
| * @return a new array |
| */ |
| @SuppressWarnings("unchecked") // field is of type T |
| private T[] buildArray(final int length) { |
| return (T[]) Array.newInstance(field.getRuntimeClass(), length); |
| } |
| |
| public FieldVectorTestImpl(T[] d) { |
| field = d[0].getField(); |
| data = d.clone(); |
| } |
| |
| public Field<T> getField() { |
| return field; |
| } |
| |
| private UnsupportedOperationException unsupported() { |
| return new UnsupportedOperationException("Not supported, unneeded for test purposes"); |
| } |
| |
| public FieldVector<T> copy() { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> add(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> add(T[] v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> subtract(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> subtract(T[] v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapAdd(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapAddToSelf(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapSubtract(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapSubtractToSelf(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapMultiply(T d) { |
| T[] out = buildArray(data.length); |
| for (int i = 0; i < data.length; i++) { |
| out[i] = data[i].multiply(d); |
| } |
| return new FieldVectorTestImpl<T>(out); |
| } |
| |
| public FieldVector<T> mapMultiplyToSelf(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapDivide(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapDivideToSelf(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapInv() { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> mapInvToSelf() { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> ebeMultiply(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> ebeMultiply(T[] v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> ebeDivide(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> ebeDivide(T[] v) { |
| throw unsupported(); |
| } |
| |
| public T[] getData() { |
| return data.clone(); |
| } |
| |
| public T dotProduct(FieldVector<T> v) { |
| T dot = field.getZero(); |
| for (int i = 0; i < data.length; i++) { |
| dot = dot.add(data[i].multiply(v.getEntry(i))); |
| } |
| return dot; |
| } |
| |
| public T dotProduct(T[] v) { |
| T dot = field.getZero(); |
| for (int i = 0; i < data.length; i++) { |
| dot = dot.add(data[i].multiply(v[i])); |
| } |
| return dot; |
| } |
| |
| public FieldVector<T> projection(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> projection(T[] v) { |
| throw unsupported(); |
| } |
| |
| public FieldMatrix<T> outerProduct(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldMatrix<T> outerProduct(T[] v) { |
| throw unsupported(); |
| } |
| |
| public T getEntry(int index) { |
| return data[index]; |
| } |
| |
| public int getDimension() { |
| return data.length; |
| } |
| |
| public FieldVector<T> append(FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> append(T d) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> append(T[] a) { |
| throw unsupported(); |
| } |
| |
| public FieldVector<T> getSubVector(int index, int n) { |
| throw unsupported(); |
| } |
| |
| public void setEntry(int index, T value) { |
| throw unsupported(); |
| } |
| |
| public void setSubVector(int index, FieldVector<T> v) { |
| throw unsupported(); |
| } |
| |
| public void setSubVector(int index, T[] v) { |
| throw unsupported(); |
| } |
| |
| public void set(T value) { |
| throw unsupported(); |
| } |
| |
| public T[] toArray() { |
| return data.clone(); |
| } |
| |
| } |
| |
| @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(Fraction.ZERO, 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(Fraction.ZERO, 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(Fraction.ZERO, 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(Fraction.ZERO, v8_2.getEntry(6)); |
| Assert.assertArrayEquals(v1.getDataRef(), v8_2.getDataRef()); |
| |
| ArrayFieldVector<Fraction> v9 = new ArrayFieldVector<Fraction>((FieldVector<Fraction>) v1, (FieldVector<Fraction>) v3); |
| Assert.assertEquals(10, v9.getDimension()); |
| Assert.assertEquals(new Fraction(1), v9.getEntry(7)); |
| |
| } |
| |
| @Test |
| public void testDataInOut() { |
| |
| ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1); |
| ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(vec2); |
| ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(vec4); |
| FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2); |
| |
| FieldVector<Fraction> v_append_1 = v1.append(v2); |
| Assert.assertEquals(6, v_append_1.getDimension()); |
| Assert.assertEquals(new Fraction(4), v_append_1.getEntry(3)); |
| |
| FieldVector<Fraction> v_append_2 = v1.append(new Fraction(2)); |
| Assert.assertEquals(4, v_append_2.getDimension()); |
| Assert.assertEquals(new Fraction(2), v_append_2.getEntry(3)); |
| |
| FieldVector<Fraction> v_append_4 = v1.append(v2_t); |
| Assert.assertEquals(6, v_append_4.getDimension()); |
| Assert.assertEquals(new Fraction(4), v_append_4.getEntry(3)); |
| |
| FieldVector<Fraction> v_copy = v1.copy(); |
| Assert.assertEquals(3, v_copy.getDimension()); |
| Assert.assertNotSame("testData not same object ", v1.getDataRef(), v_copy.toArray()); |
| |
| Fraction[] a_frac = v1.toArray(); |
| Assert.assertEquals(3, a_frac.length); |
| Assert.assertNotSame("testData not same object ", v1.getDataRef(), a_frac); |
| |
| |
| // ArrayFieldVector<Fraction> vout4 = (ArrayFieldVector<Fraction>) v1.clone(); |
| // Assert.assertEquals(3, vout4.getDimension()); |
| // Assert.assertEquals(v1.getDataRef(), vout4.getDataRef()); |
| |
| |
| FieldVector<Fraction> vout5 = v4.getSubVector(3, 3); |
| Assert.assertEquals(3, vout5.getDimension()); |
| Assert.assertEquals(new Fraction(5), vout5.getEntry(1)); |
| try { |
| v4.getSubVector(3, 7); |
| Assert.fail("OutOfRangeException expected"); |
| } catch (OutOfRangeException ex) { |
| // expected behavior |
| } |
| |
| ArrayFieldVector<Fraction> v_set1 = (ArrayFieldVector<Fraction>) v1.copy(); |
| v_set1.setEntry(1, new Fraction(11)); |
| Assert.assertEquals(new Fraction(11), v_set1.getEntry(1)); |
| try { |
| v_set1.setEntry(3, new Fraction(11)); |
| Assert.fail("OutOfRangeException expected"); |
| } catch (OutOfRangeException ex) { |
| // expected behavior |
| } |
| |
| ArrayFieldVector<Fraction> v_set2 = (ArrayFieldVector<Fraction>) v4.copy(); |
| v_set2.set(3, v1); |
| Assert.assertEquals(new Fraction(1), v_set2.getEntry(3)); |
| Assert.assertEquals(new Fraction(7), v_set2.getEntry(6)); |
| try { |
| v_set2.set(7, v1); |
| Assert.fail("OutOfRangeException expected"); |
| } catch (OutOfRangeException ex) { |
| // expected behavior |
| } |
| |
| ArrayFieldVector<Fraction> v_set3 = (ArrayFieldVector<Fraction>) v1.copy(); |
| v_set3.set(new Fraction(13)); |
| Assert.assertEquals(new Fraction(13), v_set3.getEntry(2)); |
| |
| try { |
| v_set3.getEntry(23); |
| Assert.fail("ArrayIndexOutOfBoundsException expected"); |
| } catch (ArrayIndexOutOfBoundsException ex) { |
| // expected behavior |
| } |
| |
| ArrayFieldVector<Fraction> v_set4 = (ArrayFieldVector<Fraction>) v4.copy(); |
| v_set4.setSubVector(3, v2_t); |
| Assert.assertEquals(new Fraction(4), v_set4.getEntry(3)); |
| Assert.assertEquals(new Fraction(7), v_set4.getEntry(6)); |
| try { |
| v_set4.setSubVector(7, v2_t); |
| Assert.fail("OutOfRangeException expected"); |
| } catch (OutOfRangeException ex) { |
| // expected behavior |
| } |
| |
| |
| ArrayFieldVector<Fraction> vout10 = (ArrayFieldVector<Fraction>) v1.copy(); |
| ArrayFieldVector<Fraction> vout10_2 = (ArrayFieldVector<Fraction>) v1.copy(); |
| Assert.assertEquals(vout10, vout10_2); |
| vout10_2.setEntry(0, new Fraction(11, 10)); |
| Assert.assertNotSame(vout10, vout10_2); |
| |
| } |
| |
| @Test |
| public void testMapFunctions() { |
| ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1); |
| |
| //octave = v1 .+ 2.0 |
| FieldVector<Fraction> v_mapAdd = v1.mapAdd(new Fraction(2)); |
| Fraction[] result_mapAdd = {new Fraction(3), new Fraction(4), new Fraction(5)}; |
| checkArray("compare vectors" ,result_mapAdd,v_mapAdd.toArray()); |
| |
| //octave = v1 .+ 2.0 |
| FieldVector<Fraction> v_mapAddToSelf = v1.copy(); |
| v_mapAddToSelf.mapAddToSelf(new Fraction(2)); |
| Fraction[] result_mapAddToSelf = {new Fraction(3), new Fraction(4), new Fraction(5)}; |
| checkArray("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.toArray()); |
| |
| //octave = v1 .- 2.0 |
| FieldVector<Fraction> v_mapSubtract = v1.mapSubtract(new Fraction(2)); |
| Fraction[] result_mapSubtract = {new Fraction(-1), Fraction.ZERO, new Fraction(1)}; |
| checkArray("compare vectors" ,result_mapSubtract,v_mapSubtract.toArray()); |
| |
| //octave = v1 .- 2.0 |
| FieldVector<Fraction> v_mapSubtractToSelf = v1.copy(); |
| v_mapSubtractToSelf.mapSubtractToSelf(new Fraction(2)); |
| Fraction[] result_mapSubtractToSelf = {new Fraction(-1), Fraction.ZERO, new Fraction(1)}; |
| checkArray("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.toArray()); |
| |
| //octave = v1 .* 2.0 |
| FieldVector<Fraction> v_mapMultiply = v1.mapMultiply(new Fraction(2)); |
| Fraction[] result_mapMultiply = {new Fraction(2), new Fraction(4), new Fraction(6)}; |
| checkArray("compare vectors" ,result_mapMultiply,v_mapMultiply.toArray()); |
| |
| //octave = v1 .* 2.0 |
| FieldVector<Fraction> v_mapMultiplyToSelf = v1.copy(); |
| v_mapMultiplyToSelf.mapMultiplyToSelf(new Fraction(2)); |
| Fraction[] result_mapMultiplyToSelf = {new Fraction(2), new Fraction(4), new Fraction(6)}; |
| checkArray("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.toArray()); |
| |
| //octave = v1 ./ 2.0 |
| FieldVector<Fraction> v_mapDivide = v1.mapDivide(new Fraction(2)); |
| Fraction[] result_mapDivide = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)}; |
| checkArray("compare vectors" ,result_mapDivide,v_mapDivide.toArray()); |
| |
| //octave = v1 ./ 2.0 |
| FieldVector<Fraction> v_mapDivideToSelf = v1.copy(); |
| v_mapDivideToSelf.mapDivideToSelf(new Fraction(2)); |
| Fraction[] result_mapDivideToSelf = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)}; |
| checkArray("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray()); |
| |
| //octave = v1 .^-1 |
| FieldVector<Fraction> v_mapInv = v1.mapInv(); |
| Fraction[] result_mapInv = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)}; |
| checkArray("compare vectors" ,result_mapInv,v_mapInv.toArray()); |
| |
| //octave = v1 .^-1 |
| FieldVector<Fraction> v_mapInvToSelf = v1.copy(); |
| v_mapInvToSelf.mapInvToSelf(); |
| Fraction[] result_mapInvToSelf = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)}; |
| checkArray("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.toArray()); |
| |
| } |
| |
| @Test |
| public void testBasicFunctions() { |
| ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1); |
| ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(vec2); |
| new ArrayFieldVector<Fraction>(vec_null); |
| |
| FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2); |
| |
| //octave = v1 + v2 |
| ArrayFieldVector<Fraction> v_add = v1.add(v2); |
| Fraction[] result_add = {new Fraction(5), new Fraction(7), new Fraction(9)}; |
| checkArray("compare vect" ,v_add.getData(),result_add); |
| |
| FieldVectorTestImpl<Fraction> vt2 = new FieldVectorTestImpl<Fraction>(vec2); |
| FieldVector<Fraction> v_add_i = v1.add(vt2); |
| Fraction[] result_add_i = {new Fraction(5), new Fraction(7), new Fraction(9)}; |
| checkArray("compare vect" ,v_add_i.toArray(),result_add_i); |
| |
| //octave = v1 - v2 |
| ArrayFieldVector<Fraction> v_subtract = v1.subtract(v2); |
| Fraction[] result_subtract = {new Fraction(-3), new Fraction(-3), new Fraction(-3)}; |
| checkArray("compare vect" ,v_subtract.getData(),result_subtract); |
| |
| FieldVector<Fraction> v_subtract_i = v1.subtract(vt2); |
| Fraction[] result_subtract_i = {new Fraction(-3), new Fraction(-3), new Fraction(-3)}; |
| checkArray("compare vect" ,v_subtract_i.toArray(),result_subtract_i); |
| |
| // octave v1 .* v2 |
| ArrayFieldVector<Fraction> v_ebeMultiply = v1.ebeMultiply(v2); |
| Fraction[] result_ebeMultiply = {new Fraction(4), new Fraction(10), new Fraction(18)}; |
| checkArray("compare vect" ,v_ebeMultiply.getData(),result_ebeMultiply); |
| |
| FieldVector<Fraction> v_ebeMultiply_2 = v1.ebeMultiply(v2_t); |
| Fraction[] result_ebeMultiply_2 = {new Fraction(4), new Fraction(10), new Fraction(18)}; |
| checkArray("compare vect" ,v_ebeMultiply_2.toArray(),result_ebeMultiply_2); |
| |
| // octave v1 ./ v2 |
| ArrayFieldVector<Fraction> v_ebeDivide = v1.ebeDivide(v2); |
| Fraction[] result_ebeDivide = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)}; |
| checkArray("compare vect" ,v_ebeDivide.getData(),result_ebeDivide); |
| |
| FieldVector<Fraction> v_ebeDivide_2 = v1.ebeDivide(v2_t); |
| Fraction[] result_ebeDivide_2 = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)}; |
| checkArray("compare vect" ,v_ebeDivide_2.toArray(),result_ebeDivide_2); |
| |
| // octave dot(v1,v2) |
| Fraction dot = v1.dotProduct(v2); |
| Assert.assertEquals("compare val ",new Fraction(32), dot); |
| |
| // octave dot(v1,v2_t) |
| Fraction dot_2 = v1.dotProduct(v2_t); |
| Assert.assertEquals("compare val ",new Fraction(32), dot_2); |
| |
| FieldMatrix<Fraction> m_outerProduct = v1.outerProduct(v2); |
| Assert.assertEquals("compare val ",new Fraction(4), m_outerProduct.getEntry(0,0)); |
| |
| FieldMatrix<Fraction> m_outerProduct_2 = v1.outerProduct(v2_t); |
| Assert.assertEquals("compare val ",new Fraction(4), m_outerProduct_2.getEntry(0,0)); |
| |
| ArrayFieldVector<Fraction> v_projection = v1.projection(v2); |
| Fraction[] result_projection = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)}; |
| checkArray("compare vect", v_projection.getData(), result_projection); |
| |
| FieldVector<Fraction> v_projection_2 = v1.projection(v2_t); |
| Fraction[] result_projection_2 = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)}; |
| checkArray("compare vect", v_projection_2.toArray(), result_projection_2); |
| |
| } |
| |
| @Test |
| public void testMisc() { |
| ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1); |
| ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(vec4); |
| FieldVector<Fraction> v4_2 = new ArrayFieldVector<Fraction>(vec4); |
| |
| String out1 = v1.toString(); |
| Assert.assertTrue("some output ", out1.length()!=0); |
| /* |
| Fraction[] dout1 = v1.copyOut(); |
| Assert.assertEquals(3, dout1.length); |
| assertNotSame("testData not same object ", v1.getDataRef(), dout1); |
| */ |
| try { |
| v1.checkVectorDimensions(2); |
| Assert.fail("MathIllegalArgumentException expected"); |
| } catch (MathIllegalArgumentException ex) { |
| // expected behavior |
| } |
| |
| try { |
| v1.checkVectorDimensions(v4); |
| Assert.fail("MathIllegalArgumentException expected"); |
| } catch (MathIllegalArgumentException ex) { |
| // expected behavior |
| } |
| |
| try { |
| v1.checkVectorDimensions(v4_2); |
| Assert.fail("MathIllegalArgumentException expected"); |
| } catch (MathIllegalArgumentException ex) { |
| // expected behavior |
| } |
| |
| } |
| |
| @Test |
| public void testSerial() { |
| ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(vec1); |
| Assert.assertEquals(v,TestUtils.serializeAndRecover(v)); |
| } |
| |
| @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 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); |
| } |
| |
| /** verifies that two vectors are equals */ |
| protected void checkArray(String msg, Fraction[] m, Fraction[] n) { |
| if (m.length != n.length) { |
| Assert.fail("vectors have different lengths"); |
| } |
| for (int i = 0; i < m.length; i++) { |
| Assert.assertEquals(msg + " " + i + " elements differ", m[i],n[i]); |
| } |
| } |
| |
| /* |
| * TESTS OF THE VISITOR PATTERN |
| */ |
| |
| /** The whole vector is visited. */ |
| @Test |
| public void testWalkInDefaultOrderPreservingVisitor1() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| |
| private int expectedIndex; |
| |
| public void visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(expectedIndex, actualIndex); |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| ++expectedIndex; |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(0, actualStart); |
| Assert.assertEquals(data.length - 1, actualEnd); |
| expectedIndex = 0; |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInDefaultOrder(visitor); |
| } |
| |
| /** Visiting an invalid subvector. */ |
| @Test |
| public void testWalkInDefaultOrderPreservingVisitor2() { |
| final ArrayFieldVector<Fraction> v = create(5); |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| |
| public void visit(int index, Fraction value) { |
| // Do nothing |
| } |
| |
| public void start(int dimension, int start, int end) { |
| // Do nothing |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| try { |
| v.walkInDefaultOrder(visitor, -1, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 5, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 0, -1); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 0, 5); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 4, 0); |
| Assert.fail(); |
| } catch (NumberIsTooSmallException e) { |
| // Expected behavior |
| } |
| } |
| |
| /** Visiting a valid subvector. */ |
| @Test |
| public void testWalkInDefaultOrderPreservingVisitor3() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final int expectedStart = 2; |
| final int expectedEnd = 7; |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| |
| private int expectedIndex; |
| |
| public void visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(expectedIndex, actualIndex); |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| ++expectedIndex; |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(expectedStart, actualStart); |
| Assert.assertEquals(expectedEnd, actualEnd); |
| expectedIndex = expectedStart; |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInDefaultOrder(visitor, expectedStart, expectedEnd); |
| } |
| |
| /** The whole vector is visited. */ |
| @Test |
| public void testWalkInOptimizedOrderPreservingVisitor1() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| private final boolean[] visited = new boolean[data.length]; |
| |
| public void visit(final int actualIndex, final Fraction actualValue) { |
| visited[actualIndex] = true; |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(0, actualStart); |
| Assert.assertEquals(data.length - 1, actualEnd); |
| Arrays.fill(visited, false); |
| } |
| |
| public Fraction end() { |
| for (int i = 0; i < data.length; i++) { |
| Assert.assertTrue("entry " + i + "has not been visited", |
| visited[i]); |
| } |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInOptimizedOrder(visitor); |
| } |
| |
| /** Visiting an invalid subvector. */ |
| @Test |
| public void testWalkInOptimizedOrderPreservingVisitor2() { |
| final ArrayFieldVector<Fraction> v = create(5); |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| |
| public void visit(int index, Fraction value) { |
| // Do nothing |
| } |
| |
| public void start(int dimension, int start, int end) { |
| // Do nothing |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| try { |
| v.walkInOptimizedOrder(visitor, -1, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 5, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 0, -1); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 0, 5); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 4, 0); |
| Assert.fail(); |
| } catch (NumberIsTooSmallException e) { |
| // Expected behavior |
| } |
| } |
| |
| /** Visiting a valid subvector. */ |
| @Test |
| public void testWalkInOptimizedOrderPreservingVisitor3() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final int expectedStart = 2; |
| final int expectedEnd = 7; |
| final FieldVectorPreservingVisitor<Fraction> visitor; |
| visitor = new FieldVectorPreservingVisitor<Fraction>() { |
| private final boolean[] visited = new boolean[data.length]; |
| |
| public void visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| visited[actualIndex] = true; |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(expectedStart, actualStart); |
| Assert.assertEquals(expectedEnd, actualEnd); |
| Arrays.fill(visited, true); |
| } |
| |
| public Fraction end() { |
| for (int i = expectedStart; i <= expectedEnd; i++) { |
| Assert.assertTrue("entry " + i + "has not been visited", |
| visited[i]); |
| } |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInOptimizedOrder(visitor, expectedStart, expectedEnd); |
| } |
| |
| /** The whole vector is visited. */ |
| @Test |
| public void testWalkInDefaultOrderChangingVisitor1() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| |
| private int expectedIndex; |
| |
| public Fraction visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(expectedIndex, actualIndex); |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| ++expectedIndex; |
| return actualValue.add(actualIndex); |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(0, actualStart); |
| Assert.assertEquals(data.length - 1, actualEnd); |
| expectedIndex = 0; |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInDefaultOrder(visitor); |
| for (int i = 0; i < data.length; i++) { |
| Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i)); |
| } |
| } |
| |
| /** Visiting an invalid subvector. */ |
| @Test |
| public void testWalkInDefaultOrderChangingVisitor2() { |
| final ArrayFieldVector<Fraction> v = create(5); |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| |
| public Fraction visit(int index, Fraction value) { |
| return Fraction.ZERO; |
| } |
| |
| public void start(int dimension, int start, int end) { |
| // Do nothing |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| try { |
| v.walkInDefaultOrder(visitor, -1, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 5, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 0, -1); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 0, 5); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInDefaultOrder(visitor, 4, 0); |
| Assert.fail(); |
| } catch (NumberIsTooSmallException e) { |
| // Expected behavior |
| } |
| } |
| |
| /** Visiting a valid subvector. */ |
| @Test |
| public void testWalkInDefaultOrderChangingVisitor3() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final int expectedStart = 2; |
| final int expectedEnd = 7; |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| |
| private int expectedIndex; |
| |
| public Fraction visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(expectedIndex, actualIndex); |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| ++expectedIndex; |
| return actualValue.add(actualIndex); |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(expectedStart, actualStart); |
| Assert.assertEquals(expectedEnd, actualEnd); |
| expectedIndex = expectedStart; |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInDefaultOrder(visitor, expectedStart, expectedEnd); |
| for (int i = expectedStart; i <= expectedEnd; i++) { |
| Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i)); |
| } |
| } |
| |
| /** The whole vector is visited. */ |
| @Test |
| public void testWalkInOptimizedOrderChangingVisitor1() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| private final boolean[] visited = new boolean[data.length]; |
| |
| public Fraction visit(final int actualIndex, final Fraction actualValue) { |
| visited[actualIndex] = true; |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| return actualValue.add(actualIndex); |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(0, actualStart); |
| Assert.assertEquals(data.length - 1, actualEnd); |
| Arrays.fill(visited, false); |
| } |
| |
| public Fraction end() { |
| for (int i = 0; i < data.length; i++) { |
| Assert.assertTrue("entry " + i + "has not been visited", |
| visited[i]); |
| } |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInOptimizedOrder(visitor); |
| for (int i = 0; i < data.length; i++) { |
| Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i)); |
| } |
| } |
| |
| /** Visiting an invalid subvector. */ |
| @Test |
| public void testWalkInOptimizedOrderChangingVisitor2() { |
| final ArrayFieldVector<Fraction> v = create(5); |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| |
| public Fraction visit(int index, Fraction value) { |
| return Fraction.ZERO; |
| } |
| |
| public void start(int dimension, int start, int end) { |
| // Do nothing |
| } |
| |
| public Fraction end() { |
| return Fraction.ZERO; |
| } |
| }; |
| try { |
| v.walkInOptimizedOrder(visitor, -1, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 5, 4); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 0, -1); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 0, 5); |
| Assert.fail(); |
| } catch (OutOfRangeException e) { |
| // Expected behavior |
| } |
| try { |
| v.walkInOptimizedOrder(visitor, 4, 0); |
| Assert.fail(); |
| } catch (NumberIsTooSmallException e) { |
| // Expected behavior |
| } |
| } |
| |
| /** Visiting a valid subvector. */ |
| @Test |
| public void testWalkInOptimizedOrderChangingVisitor3() { |
| final Fraction[] data = new Fraction[] { |
| Fraction.ZERO, Fraction.ONE, Fraction.ZERO, |
| Fraction.ZERO, Fraction.TWO, Fraction.ZERO, |
| Fraction.ZERO, Fraction.ZERO, new Fraction(3) |
| }; |
| final ArrayFieldVector<Fraction> v = new ArrayFieldVector<Fraction>(data); |
| final int expectedStart = 2; |
| final int expectedEnd = 7; |
| final FieldVectorChangingVisitor<Fraction> visitor; |
| visitor = new FieldVectorChangingVisitor<Fraction>() { |
| private final boolean[] visited = new boolean[data.length]; |
| |
| public Fraction visit(final int actualIndex, final Fraction actualValue) { |
| Assert.assertEquals(Integer.toString(actualIndex), |
| data[actualIndex], actualValue); |
| visited[actualIndex] = true; |
| return actualValue.add(actualIndex); |
| } |
| |
| public void start(final int actualSize, final int actualStart, |
| final int actualEnd) { |
| Assert.assertEquals(data.length, actualSize); |
| Assert.assertEquals(expectedStart, actualStart); |
| Assert.assertEquals(expectedEnd, actualEnd); |
| Arrays.fill(visited, true); |
| } |
| |
| public Fraction end() { |
| for (int i = expectedStart; i <= expectedEnd; i++) { |
| Assert.assertTrue("entry " + i + "has not been visited", |
| visited[i]); |
| } |
| return Fraction.ZERO; |
| } |
| }; |
| v.walkInOptimizedOrder(visitor, expectedStart, expectedEnd); |
| for (int i = expectedStart; i <= expectedEnd; i++) { |
| Assert.assertEquals("entry " + i, data[i].add(i), v.getEntry(i)); |
| } |
| } |
| |
| private ArrayFieldVector<Fraction> create(int n) { |
| Fraction[] t = new Fraction[n]; |
| for (int i = 0; i < n; ++i) { |
| t[i] = Fraction.ZERO; |
| } |
| return new ArrayFieldVector<Fraction>(t); |
| } |
| } |
