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/*
* Licensed to the Hipparchus project under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The Hipparchus project 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.hipparchus.util;
import java.util.Arrays;
import org.hipparchus.Field;
import org.hipparchus.FieldElement;
import org.hipparchus.RealFieldElement;
import org.hipparchus.exception.MathIllegalArgumentException;
/**
* This class allows to perform the same computation of all components of a Tuple at once.
* @param the type of the field elements
* @since 1.2
*/
public class FieldTuple> implements RealFieldElement> {
/** Components of the tuple. */
private final T[] values;
/** Field the instance belongs to. */
private final transient FieldTupleField field;
/** Creates a new instance from its components.
* @param x components of the tuple
*/
@SafeVarargs
public FieldTuple(final T... x) {
this(new FieldTupleField<>(x[0].getField(), x.length), x.clone());
}
/** Creates a new instance from its components.
* @param field field the instance belongs to
* @param x components of the tuple (beware, it is not copied, it is shared with caller)
*/
private FieldTuple(final FieldTupleField field, final T[] x) {
this.values = x;
this.field = field;
}
/** Get the dimension of the tuple.
* @return dimension of the tuple
*/
public int getDimension() {
return values.length;
}
/** Get one component of the tuple.
* @param index index of the component, between 0 and {@link #getDimension() getDimension()} - 1
* @return value of the component
*/
public T getComponent(final int index) {
return values[index];
}
/** Get all components of the tuple.
* @return all components
*/
public T[] getComponents() {
return values.clone();
}
/** {@inheritDoc} */
@Override
public Field> getField() {
return field;
}
/** {@inheritDoc} */
@Override
public FieldTuple add(final FieldTuple a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].add(a.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple subtract(final FieldTuple a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].subtract(a.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple negate() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].negate();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple multiply(final FieldTuple a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].multiply(a.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple multiply(final int n) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].multiply(n);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple divide(final FieldTuple a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].divide(a.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple reciprocal() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].reciprocal();
}
return result;
}
/** {@inheritDoc} */
@Override
public boolean equals(final Object obj) {
if (obj instanceof FieldTuple ) {
@SuppressWarnings("unchecked")
final FieldTuple that = (FieldTuple) obj;
if (getDimension() == that.getDimension()) {
boolean equals = true;
for (int i = 0; i < values.length; ++i) {
equals &= values[i].equals(that.values[i]);
}
return equals;
}
}
return false;
}
/** {@inheritDoc} */
@Override
public int hashCode() {
return 0x58f61de5 + Arrays.hashCode(values);
}
/** {@inheritDoc} */
@Override
public double getReal() {
return values[0].getReal();
}
/** {@inheritDoc} */
@Override
public FieldTuple add(final double a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].add(a);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple subtract(final double a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].subtract(a);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple multiply(final double a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].multiply(a);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple divide(final double a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].divide(a);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple remainder(final double a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].remainder(a);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple remainder(final FieldTuple a) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].remainder(a.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple abs() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].abs();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple ceil() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].ceil();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple floor() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].floor();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple rint() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].rint();
}
return result;
}
/** {@inheritDoc} */
@Override
public long round() {
return values[0].round();
}
/** {@inheritDoc} */
@Override
public FieldTuple signum() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].signum();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple copySign(final FieldTuple sign) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].copySign(sign.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple copySign(final double sign) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].copySign(sign);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple scalb(final int n) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].scalb(n);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple hypot(final FieldTuple y) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].hypot(y.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple sqrt() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].sqrt();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple cbrt() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].cbrt();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple rootN(final int n) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].rootN(n);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple pow(final double p) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].pow(p);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple pow(final int n) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].pow(n);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple pow(final FieldTuple e) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].pow(e.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple exp() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].exp();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple expm1() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].expm1();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple log() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].log();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple log1p() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].log1p();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple log10() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].log10();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple cos() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].cos();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple sin() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].sin();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple tan() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].tan();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple acos() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].acos();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple asin() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].asin();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple atan() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].atan();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple atan2(final FieldTuple x) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].atan2(x.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple cosh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].cosh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple sinh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].sinh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple tanh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].tanh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple acosh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].acosh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple asinh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].asinh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple atanh() {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = values[i].atanh();
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final FieldTuple[] a, final FieldTuple[] b)
throws MathIllegalArgumentException {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
MathUtils.checkDimension(a.length, b.length);
final T[] aT = MathArrays.buildArray(values[0].getField(), a.length);
final T[] bT = MathArrays.buildArray(values[0].getField(), b.length);
for (int i = 0; i < values.length; ++i) {
for (int j = 0; j < a.length; ++j) {
aT[j] = a[j].values[i];
bT[j] = b[j].values[i];
}
result.values[i] = aT[0].linearCombination(aT, bT);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final double[] a, final FieldTuple[] b)
throws MathIllegalArgumentException {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
MathUtils.checkDimension(a.length, b.length);
final T[] bT = MathArrays.buildArray(values[0].getField(), b.length);
for (int i = 0; i < values.length; ++i) {
for (int j = 0; j < a.length; ++j) {
bT[j] = b[j].values[i];
}
result.values[i] = bT[0].linearCombination(a, bT);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final FieldTuple a1, final FieldTuple b1,
final FieldTuple a2, final FieldTuple b2) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = a1.values[0].linearCombination(a1.values[i], b1.values[i],
a2.values[i], b2.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final double a1, final FieldTuple b1,
final double a2, final FieldTuple b2) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = b1.values[0].linearCombination(a1, b1.values[i],
a2, b2.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final FieldTuple a1, final FieldTuple b1,
final FieldTuple a2, final FieldTuple b2,
final FieldTuple a3, final FieldTuple b3) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = a1.values[0].linearCombination(a1.values[i], b1.values[i],
a2.values[i], b2.values[i],
a3.values[i], b3.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final double a1, final FieldTuple b1,
final double a2, final FieldTuple b2,
final double a3, final FieldTuple b3) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = b1.values[0].linearCombination(a1, b1.values[i],
a2, b2.values[i],
a3, b3.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final FieldTuple a1, final FieldTuple b1,
final FieldTuple a2, final FieldTuple b2,
final FieldTuple a3, final FieldTuple b3,
final FieldTuple a4, final FieldTuple b4) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = a1.values[0].linearCombination(a1.values[i], b1.values[i],
a2.values[i], b2.values[i],
a3.values[i], b3.values[i],
a4.values[i], b4.values[i]);
}
return result;
}
/** {@inheritDoc} */
@Override
public FieldTuple linearCombination(final double a1, final FieldTuple b1,
final double a2, final FieldTuple b2,
final double a3, final FieldTuple b3,
final double a4, final FieldTuple b4) {
final FieldTuple result = new FieldTuple<>(field, MathArrays.buildArray(values[0].getField(), values.length));
for (int i = 0; i < values.length; ++i) {
result.values[i] = b1.values[0].linearCombination(a1, b1.values[i],
a2, b2.values[i],
a3, b3.values[i],
a4, b4.values[i]);
}
return result;
}
/** Field for {link FieldTuple} instances.
* @param the type of the field elements
*/
private static class FieldTupleField> implements Field> {
/** Constant function evaluating to 0.0. */
private final FieldTuple zero;
/** Constant function evaluating to 1.0. */
private final FieldTuple one;
/** Simple constructor.
* @param field field to which the elements belong
* @param dimension dimension of the tuple
*/
FieldTupleField(final Field field, final int dimension) {
final T[] zeroData = MathArrays.buildArray(field, dimension);
Arrays.fill(zeroData, field.getZero());
final T[] oneData = MathArrays.buildArray(field, dimension);
Arrays.fill(oneData, field.getOne());
this.zero = new FieldTuple<>(this, zeroData);
this.one = new FieldTuple<>(this, oneData);
}
/** {@inheritDoc} */
@Override
public FieldTuple getZero() {
return zero;
}
/** {@inheritDoc} */
@Override
public FieldTuple getOne() {
return one;
}
/** {@inheritDoc} */
@SuppressWarnings("unchecked")
@Override
public Class>> getRuntimeClass() {
return (Class>>) zero.getClass();
}
/** {@inheritDoc} */
@Override
public boolean equals(final Object other) {
if (other instanceof FieldTupleField) {
@SuppressWarnings("unchecked")
final FieldTupleField that = (FieldTupleField) other;
return zero.getDimension() == that.zero.getDimension();
} else {
return false;
}
}
/** {@inheritDoc} */
@Override
public int hashCode() {
return 0xb4a533e1 ^ zero.getDimension();
}
}
}
