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+/**
+ * Copyright (C) 2019 Adrien Hopkins
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU Affero General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Affero General Public License for more details.
+ *
+ * You should have received a copy of the GNU Affero General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+package org.unitConverter.unit;
+
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.Map;
+import java.util.Objects;
+import java.util.Set;
+import java.util.function.DoubleUnaryOperator;
+
+import org.unitConverter.math.DecimalComparison;
+import org.unitConverter.math.ObjectProduct;
+
+/**
+ * A unit that is composed of base units.
+ *
+ * @author Adrien Hopkins
+ * @since 2019-10-16
+ */
+public abstract class Unit implements Nameable {
+ /**
+ * Returns a unit from its base and the functions it uses to convert to and
+ * from its base.
+ *
+ * <p>
+ * For example, to get a unit representing the degree Celsius, the following
+ * code can be used:
+ *
+ * {@code Unit.fromConversionFunctions(SI.KELVIN, tempK -> tempK - 273.15, tempC -> tempC + 273.15);}
+ * </p>
+ *
+ * @param base unit's base
+ * @param converterFrom function that accepts a value expressed in the unit's
+ * base and returns that value expressed in this unit.
+ * @param converterTo function that accepts a value expressed in the unit
+ * and returns that value expressed in the unit's base.
+ * @return a unit that uses the provided functions to convert.
+ * @since 2019-05-22
+ * @throws NullPointerException if any argument is null
+ */
+ public static final Unit fromConversionFunctions(
+ final ObjectProduct<BaseUnit> base,
+ final DoubleUnaryOperator converterFrom,
+ final DoubleUnaryOperator converterTo) {
+ return new FunctionalUnit(base, converterFrom, converterTo);
+ }
+
+ /**
+ * Returns a unit from its base and the functions it uses to convert to and
+ * from its base.
+ *
+ * <p>
+ * For example, to get a unit representing the degree Celsius, the following
+ * code can be used:
+ *
+ * {@code Unit.fromConversionFunctions(SI.KELVIN, tempK -> tempK - 273.15, tempC -> tempC + 273.15);}
+ * </p>
+ *
+ * @param base unit's base
+ * @param converterFrom function that accepts a value expressed in the unit's
+ * base and returns that value expressed in this unit.
+ * @param converterTo function that accepts a value expressed in the unit
+ * and returns that value expressed in the unit's base.
+ * @param ns names and symbol of unit
+ * @return a unit that uses the provided functions to convert.
+ * @since 2019-05-22
+ * @throws NullPointerException if any argument is null
+ */
+ public static final Unit fromConversionFunctions(
+ final ObjectProduct<BaseUnit> base,
+ final DoubleUnaryOperator converterFrom,
+ final DoubleUnaryOperator converterTo, final NameSymbol ns) {
+ return new FunctionalUnit(base, converterFrom, converterTo, ns);
+ }
+
+ /**
+ * The combination of units that this unit is based on.
+ *
+ * @since 2019-10-16
+ */
+ private final ObjectProduct<BaseUnit> unitBase;
+
+ /**
+ * This unit's name(s) and symbol
+ *
+ * @since 2020-09-07
+ */
+ private final NameSymbol nameSymbol;
+
+ /**
+ * Cache storing the result of getDimension()
+ *
+ * @since 2019-10-16
+ */
+ private transient ObjectProduct<BaseDimension> dimension = null;
+
+ /**
+ * Creates the {@code Unit}.
+ *
+ * @param unitBase base of unit
+ * @param ns names and symbol of unit
+ * @since 2019-10-16
+ * @throws NullPointerException if unitBase or ns is null
+ */
+ Unit(ObjectProduct<BaseUnit> unitBase, NameSymbol ns) {
+ this.unitBase = Objects.requireNonNull(unitBase,
+ "unitBase may not be null");
+ this.nameSymbol = Objects.requireNonNull(ns, "ns may not be null");
+ }
+
+ /**
+ * A constructor that constructs {@code BaseUnit} instances.
+ *
+ * @since 2019-10-16
+ */
+ Unit(final String primaryName, final String symbol,
+ final Set<String> otherNames) {
+ if (this instanceof BaseUnit) {
+ this.unitBase = ObjectProduct.oneOf((BaseUnit) this);
+ } else
+ throw new AssertionError();
+ this.nameSymbol = NameSymbol.of(primaryName, symbol,
+ new HashSet<>(otherNames));
+ }
+
+ /**
+ * @return this unit as a {@link Unitlike}
+ * @since 2020-09-07
+ */
+ public final Unitlike<Double> asUnitlike() {
+ return Unitlike.fromConversionFunctions(this.getBase(),
+ this::convertFromBase, this::convertToBase, this.getNameSymbol());
+ }
+
+ /**
+ * Checks if a value expressed in this unit can be converted to a value
+ * expressed in {@code other}
+ *
+ * @param other unit or unitlike form to test with
+ * @return true if they are compatible
+ * @since 2019-01-13
+ * @since v0.1.0
+ * @throws NullPointerException if other is null
+ */
+ public final boolean canConvertTo(final Unit other) {
+ Objects.requireNonNull(other, "other must not be null.");
+ return Objects.equals(this.getBase(), other.getBase());
+ }
+
+ /**
+ * Checks if a value expressed in this unit can be converted to a value
+ * expressed in {@code other}
+ *
+ * @param other unit or unitlike form to test with
+ * @return true if they are compatible
+ * @since 2019-01-13
+ * @since v0.1.0
+ * @throws NullPointerException if other is null
+ */
+ public final <W> boolean canConvertTo(final Unitlike<W> other) {
+ Objects.requireNonNull(other, "other must not be null.");
+ return Objects.equals(this.getBase(), other.getBase());
+ }
+
+ /**
+ * Converts from a value expressed in this unit's base unit to a value
+ * expressed in this unit.
+ * <p>
+ * This must be the inverse of {@code convertToBase}, so
+ * {@code convertFromBase(convertToBase(value))} must be equal to
+ * {@code value} for any value, ignoring precision loss by roundoff error.
+ * </p>
+ * <p>
+ * If this unit <i>is</i> a base unit, this method should return
+ * {@code value}.
+ * </p>
+ *
+ * @implSpec This method is used by {@link #convertTo}, and its behaviour
+ * affects the behaviour of {@code convertTo}.
+ *
+ * @param value value expressed in <b>base</b> unit
+ * @return value expressed in <b>this</b> unit
+ * @since 2018-12-22
+ * @since v0.1.0
+ */
+ protected abstract double convertFromBase(double value);
+
+ /**
+ * Converts a value expressed in this unit to a value expressed in
+ * {@code other}.
+ *
+ * @implSpec If unit conversion is possible, this implementation returns
+ * {@code other.convertFromBase(this.convertToBase(value))}.
+ * Therefore, overriding either of those methods will change the
+ * output of this method.
+ *
+ * @param other unit to convert to
+ * @param value value to convert
+ * @return converted value
+ * @since 2019-05-22
+ * @throws IllegalArgumentException if {@code other} is incompatible for
+ * conversion with this unit (as tested by
+ * {@link Unit#canConvertTo}).
+ * @throws NullPointerException if other is null
+ */
+ public final double convertTo(final Unit other, final double value) {
+ Objects.requireNonNull(other, "other must not be null.");
+ if (this.canConvertTo(other))
+ return other.convertFromBase(this.convertToBase(value));
+ else
+ throw new IllegalArgumentException(
+ String.format("Cannot convert from %s to %s.", this, other));
+ }
+
+ /**
+ * Converts a value expressed in this unit to a value expressed in
+ * {@code other}.
+ *
+ * @implSpec If conversion is possible, this implementation returns
+ * {@code other.convertFromBase(this.convertToBase(value))}.
+ * Therefore, overriding either of those methods will change the
+ * output of this method.
+ *
+ * @param other unitlike form to convert to
+ * @param value value to convert
+ * @param <W> type of value to convert to
+ * @return converted value
+ * @since 2020-09-07
+ * @throws IllegalArgumentException if {@code other} is incompatible for
+ * conversion with this unit (as tested by
+ * {@link Unit#canConvertTo}).
+ * @throws NullPointerException if other is null
+ */
+ public final <W> W convertTo(final Unitlike<W> other, final double value) {
+ Objects.requireNonNull(other, "other must not be null.");
+ if (this.canConvertTo(other))
+ return other.convertFromBase(this.convertToBase(value));
+ else
+ throw new IllegalArgumentException(
+ String.format("Cannot convert from %s to %s.", this, other));
+ }
+
+ /**
+ * Converts from a value expressed in this unit to a value expressed in this
+ * unit's base unit.
+ * <p>
+ * This must be the inverse of {@code convertFromBase}, so
+ * {@code convertToBase(convertFromBase(value))} must be equal to
+ * {@code value} for any value, ignoring precision loss by roundoff error.
+ * </p>
+ * <p>
+ * If this unit <i>is</i> a base unit, this method should return
+ * {@code value}.
+ * </p>
+ *
+ * @implSpec This method is used by {@link #convertTo}, and its behaviour
+ * affects the behaviour of {@code convertTo}.
+ *
+ * @param value value expressed in <b>this</b> unit
+ * @return value expressed in <b>base</b> unit
+ * @since 2018-12-22
+ * @since v0.1.0
+ */
+ protected abstract double convertToBase(double value);
+
+ /**
+ * @return combination of units that this unit is based on
+ * @since 2018-12-22
+ * @since v0.1.0
+ */
+ public final ObjectProduct<BaseUnit> getBase() {
+ return this.unitBase;
+ }
+
+ /**
+ * @return dimension measured by this unit
+ * @since 2018-12-22
+ * @since v0.1.0
+ */
+ public final ObjectProduct<BaseDimension> getDimension() {
+ if (this.dimension == null) {
+ final Map<BaseUnit, Integer> mapping = this.unitBase.exponentMap();
+ final Map<BaseDimension, Integer> dimensionMap = new HashMap<>();
+
+ for (final BaseUnit key : mapping.keySet()) {
+ dimensionMap.put(key.getBaseDimension(), mapping.get(key));
+ }
+
+ this.dimension = ObjectProduct.fromExponentMapping(dimensionMap);
+ }
+ return this.dimension;
+ }
+
+ /**
+ * @return the nameSymbol
+ * @since 2020-09-07
+ */
+ @Override
+ public final NameSymbol getNameSymbol() {
+ return this.nameSymbol;
+ }
+
+ /**
+ * Returns true iff this unit is metric.
+ * <p>
+ * "Metric" is defined by three conditions:
+ * <ul>
+ * <li>Must be an instance of {@link LinearUnit}.</li>
+ * <li>Must be based on the SI base units (as determined by getBase())</li>
+ * <li>The conversion factor must be a power of 10.</li>
+ * </ul>
+ * <p>
+ * Note that this definition excludes some units that many would consider
+ * "metric", such as the degree Celsius (fails the first condition),
+ * calories, minutes and hours (fail the third condition).
+ * <p>
+ * All SI units (as designated by the BIPM) except the degree Celsius are
+ * considered "metric" by this definition.
+ *
+ * @since 2020-08-27
+ */
+ public final boolean isMetric() {
+ // first condition - check that it is a linear unit
+ if (!(this instanceof LinearUnit))
+ return false;
+ final LinearUnit linear = (LinearUnit) this;
+
+ // second condition - check that
+ for (final BaseUnit b : linear.getBase().getBaseSet()) {
+ if (!SI.BaseUnits.BASE_UNITS.contains(b))
+ return false;
+ }
+
+ // third condition - check that conversion factor is a power of 10
+ return DecimalComparison
+ .equals(Math.log10(linear.getConversionFactor()) % 1.0, 0);
+ }
+
+ @Override
+ public String toString() {
+ return this.getPrimaryName().orElse("Unnamed unit")
+ + (this.getSymbol().isPresent()
+ ? String.format(" (%s)", this.getSymbol().get())
+ : "")
+ + ", derived from "
+ + this.getBase().toString(u -> u.getSymbol().get())
+ + (this.getOtherNames().isEmpty() ? ""
+ : ", also called " + String.join(", ", this.getOtherNames()));
+ }
+
+ /**
+ * @param ns name(s) and symbol to use
+ * @return a copy of this unit with provided name(s) and symbol
+ * @since 2019-10-21
+ * @throws NullPointerException if ns is null
+ */
+ public Unit withName(final NameSymbol ns) {
+ return fromConversionFunctions(this.getBase(), this::convertFromBase,
+ this::convertToBase,
+ Objects.requireNonNull(ns, "ns must not be null."));
+ }
+}