001/*
002 * Units of Measurement API
003 * Copyright (c) 2014-2019, Jean-Marie Dautelle, Werner Keil, Otavio Santana.
004 *
005 * All rights reserved.
006 *
007 * Redistribution and use in source and binary forms, with or without modification,
008 * are permitted provided that the following conditions are met:
009 *
010 * 1. Redistributions of source code must retain the above copyright notice,
011 *    this list of conditions and the following disclaimer.
012 *
013 * 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions
014 *    and the following disclaimer in the documentation and/or other materials provided with the distribution.
015 *
016 * 3. Neither the name of JSR-385 nor the names of its contributors may be used to endorse or promote products
017 *    derived from this software without specific prior written permission.
018 *
019 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
020 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
021 * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
022 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
023 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
024 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
025 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
026 * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
027 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
028 * EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
029 */
030//
031// This source code implements specifications defined by the Java
032// Community Process. In order to remain compliant with the specification
033// DO NOT add / change / or delete method signatures!
034//
035package javax.measure;
036
037import java.util.Map;
038
039/**
040 * Represents a determinate {@linkplain Quantity quantity} (as of length, time, heat, or value) adopted as a standard of measurement.
041 *
042 * <p>
043 * It is helpful to think of instances of this class as recording the history by which they are created. Thus, for example, the string {@code "g/kg"}
044 * (which is a dimensionless unit) would result from invoking the method {@link #toString()} on a unit that was created by dividing a gram unit by a
045 * kilogram unit.
046 * </p>
047 *
048 * <p>
049 * This interface supports the multiplication of offsets units. The result is usually a unit not convertible to its {@linkplain #getSystemUnit()
050 * system unit}. Such units may appear in derivative quantities. For example Celsius per meter is an unit of gradient, which is common in atmospheric
051 * and oceanographic research.
052 * </p>
053 *
054 * <p>
055 * Units raised at non-integral powers are not supported. For example, {@code LITRE.root(2)} raises an {@code ArithmeticException}, but
056 * {@code HECTARE.root(2)} returns {@code HECTOMETRE} (100 metres).
057 * </p>
058 *
059 * <p>
060 * Unit instances shall be immutable.
061 * </p>
062 *
063 * @param <Q>
064 *          The type of the quantity measured by this unit.
065 *
066 * @author <a href="mailto:[email protected]">Jean-Marie Dautelle</a>
067 * @author <a href="mailto:[email protected]">Steve Emmerson</a>
068 * @author <a href="mailto:[email protected]">Martin Desruisseaux</a>
069 * @author <a href="mailto:[email protected]">Werner Keil</a>
070 * @version 2.1, May 12, 2019
071 * @since 1.0
072 *
073 * @see <a href="http://en.wikipedia.org/wiki/Units_of_measurement">Wikipedia: Units of measurement</a>
074 */
075public interface Unit<Q extends Quantity<Q>> {
076
077    /*******************/
078    /** Units Queries **/
079    /*******************/
080
081    /**
082     * Returns the symbol (if any) of this unit. This method returns {@code null} if this unit has no specific symbol associated with.
083     *
084     * @return this unit symbol, or {@code null} if this unit has not specific symbol associated with (e.g. product of units).
085     *
086     * @see #toString()
087     * @see javax.measure.format.UnitFormat
088     */
089    String getSymbol();
090
091    /**
092     * Returns the name (if any) of this unit. This method returns {@code null} if this unit has no specific name associated with.
093     *
094     * @return this unit name, or {@code null} if this unit has not specific name associated with (e.g. product of units).
095     *
096     * @see #toString()
097     * @see javax.measure.format.UnitFormat
098     */
099    String getName();
100
101    /**
102     * Returns the dimension of this unit. Two units {@code u1} and {@code u2} are {@linkplain #isCompatible(Unit) compatible} if and only if
103     * {@code u1.getDimension().equals(u2.getDimension())}.
104     *
105     * @return the dimension of this unit.
106     *
107     * @see #isCompatible(Unit)
108     */
109    Dimension getDimension();
110
111    /**
112     * Returns the unscaled system unit from which this unit is derived. System units are either base units, {@linkplain #alternate(String) alternate}
113     * units or product of rational powers of system units.
114     *
115     * <p>
116     * Because the system unit is unique by quantity type, it can be be used to identify the quantity given the unit. For example:
117     * </p>
118     * <code>
119     *     static boolean isAngularSpeed(Unit&lt;?&gt; unit) {<br>
120     *     &nbsp;&nbsp;    return unit.getSystemUnit().equals(RADIAN.divide(SECOND));<br>
121     *     }<br>
122     *     assert isAngularSpeed(REVOLUTION.divide(MINUTE)); // Returns true.<br><br>
123     * </code>
124     *
125     * @return the system unit this unit is derived from, or {@code this} if this unit is a system unit.
126     */
127    Unit<Q> getSystemUnit();
128
129    /**
130     * Returns the base units and their exponent whose product is this unit, or {@code null} if this unit is a base unit (not a product of existing
131     * units).
132     *
133     * @return the base units and their exponent making up this unit.
134     */
135    Map<? extends Unit<?>, Integer> getBaseUnits();
136
137    /**
138     * Indicates if this unit is compatible with the unit specified. Units don't need to be equals to be compatible. For example (assuming {@code ONE}
139     * is a dimensionless unit):<br>
140     *
141     * <code>
142     *     RADIAN.equals(ONE) == false<br>
143     *     RADIAN.isCompatible(ONE) == true<br>
144     * </code>
145     *
146     * @param that
147     *          the other unit to compare for compatibility.
148     * @return {@code this.getDimension().equals(that.getDimension())}
149     *
150     * @see #getDimension()
151     */
152    boolean isCompatible(Unit<?> that);
153
154    /**
155     * Casts this unit to a parameterized unit of specified nature or throw a {@code ClassCastException} if the dimension of the specified quantity and
156     * this unit's dimension do not match. For example:<br>
157     *
158     * <code>
159     *      {@literal Unit<Speed>} C = METRE.multiply(299792458).divide(SECOND).asType(Speed.class);
160     * </code>
161     *
162     * @param <T>
163     *          The type of the quantity measured by the unit.
164     * @param type
165     *          the quantity class identifying the nature of the unit.
166     * @return this unit parameterized with the specified type.
167     * @throws ClassCastException
168     *           if the dimension of this unit is different from the specified quantity dimension.
169     */
170    <T extends Quantity<T>> Unit<T> asType(Class<T> type) throws ClassCastException;
171
172    /**
173     * Returns a converter of numeric values from this unit to another unit of same type. This method performs the same work as
174     * {@link #getConverterToAny(Unit)} without raising checked exception.
175     *
176     * @param that
177     *          the unit of same type to which to convert the numeric values.
178     * @return the converter from this unit to {@code that} unit.
179     * @throws UnconvertibleException
180     *           if a converter cannot be constructed.
181     *
182     * @see #getConverterToAny(Unit)
183     */
184    UnitConverter getConverterTo(Unit<Q> that) throws UnconvertibleException;
185
186    /**
187     * Returns a converter from this unit to the specified unit of type unknown. This method can be used when the quantity type of the specified unit is
188     * unknown at compile-time or when dimensional analysis allows for conversion between units of different type.
189     *
190     * <p>
191     * To convert to a unit having the same parameterized type, {@link #getConverterTo(Unit)} is preferred (no checked exception raised).
192     * </p>
193     *
194     * @param that
195     *          the unit to which to convert the numeric values.
196     * @return the converter from this unit to {@code that} unit.
197     * @throws IncommensurableException
198     *           if this unit is not {@linkplain #isCompatible(Unit) compatible} with {@code that} unit.
199     * @throws UnconvertibleException
200     *           if a converter cannot be constructed.
201     *
202     * @see #getConverterTo(Unit)
203     * @see #isCompatible(Unit)
204     */
205    UnitConverter getConverterToAny(Unit<?> that) throws IncommensurableException, UnconvertibleException;
206
207    /**********************/
208    /** Units Operations **/
209    /**********************/
210
211    /**
212     * Returns a system unit equivalent to this unscaled standard unit but used in expressions to distinguish between quantities of a different nature
213     * but of the same dimensions.
214     *
215     * <p>
216     * Examples of alternate units:
217     * </p>
218     *
219     * <code>
220     *     {@literal Unit<Angle>} RADIAN = ONE.alternate("rad").asType(Angle.class);<br>
221     *     {@literal Unit<Force>} NEWTON = METRE.multiply(KILOGRAM).divide(SECOND.pow(2)).alternate("N").asType(Force.class);<br>
222     *     {@literal Unit<Pressure>} PASCAL = NEWTON.divide(METRE.pow(2)).alternate("Pa").asType(Pressure.class);<br>
223     * </code>
224     *
225     * @param symbol
226     *          the new symbol for the alternate unit.
227     * @return the alternate unit.
228     * @throws IllegalArgumentException
229     *           if this unit is not an unscaled standard unit.
230     * @throws MeasurementException
231     *           if the specified symbol is not valid or is already associated to a different unit.
232     */
233    Unit<Q> alternate(String symbol);
234
235    /**
236     * Returns the result of setting the origin of the scale of measurement to the given value. The returned unit is convertible with all units that are
237     * convertible with this unit. For example the following code:<br>
238     *
239     * <code>
240     *    CELSIUS = KELVIN.shift(273.15);
241     * </code>
242     *
243     * creates a new unit where 0°C (the origin of the new unit) is equals to 273.15 K. Converting from the old unit to the new one is equivalent to
244     * <em>subtracting</em> the offset to the value in the old unit.
245     *
246     * @param offset
247     *          the offset added (expressed in this unit).
248     * @return this unit offset by the specified value.
249     * @since 2.0
250     */
251    Unit<Q> shift(Number offset);
252    
253    /**
254     * Returns the result of setting the origin of the scale of measurement to the given value. The returned unit is convertible with all units that are
255     * convertible with this unit. For example the following code:<br>
256     *
257     * <code>
258     *    CELSIUS = KELVIN.shift(273.15);
259     * </code>
260     *
261     * creates a new unit where 0°C (the origin of the new unit) is equals to 273.15 K. Converting from the old unit to the new one is equivalent to
262     * <em>subtracting</em> the offset to the value in the old unit.
263     *
264     * @param offset
265     *          the offset added (expressed in this unit).
266     * @return this unit offset by the specified value.
267     */
268    Unit<Q> shift(double offset);
269
270    /**
271     * Returns the result of multiplying this unit by the specified factor. If the factor is an integer value, the multiplication is exact
272     * (recommended). For example:<br>
273     *
274     * <code>
275     *    FOOT = METRE.multiply(3048).divide(10000); // Exact definition.<br>
276     *    ELECTRON_MASS = KILOGRAM.multiply(9.10938188e-31); // Approximation.
277     * </code>
278     *
279     * @param multiplier
280     *          the multiplier
281     * @return this unit scaled by the specified multiplier.
282     * @since 2.0
283     */
284    Unit<Q> multiply(Number multiplier);
285    
286    /**
287     * Returns the result of multiplying this unit by the specified factor. For example:<br>
288     *
289     * <code>
290     *    FOOT = METRE.multiply(3048).divide(10000); // Exact definition.<br>
291     *    ELECTRON_MASS = KILOGRAM.multiply(9.10938188e-31); // Approximation.
292     * </code>
293     *
294     * @param multiplier
295     *          the multiplier
296     * @return this unit scaled by the specified multiplier.
297     */
298    Unit<Q> multiply(double multiplier);
299
300    /**
301     * Returns the product of this unit with the one specified.
302     *
303     * @param multiplier
304     *          the unit multiplier.
305     * @return {@code this * multiplier}
306     */
307    Unit<?> multiply(Unit<?> multiplier);
308
309    /**
310     * Returns the reciprocal (multiplicative inverse) of this unit.
311     *
312     * @return {@code 1 / this}
313     * @see <a href="https://en.wikipedia.org/wiki/Multiplicative_inverse">Wikipedia: Multiplicative inverse</a>
314     */
315    Unit<?> inverse();
316
317    /**
318     * Returns the result of dividing this unit by a divisor. If the factor is an integer value, the division is exact. For example:<br>
319     *
320     * <code>
321     *    GRAM = KILOGRAM.divide(1000); // Exact definition.
322     * </code>
323     *
324     * @param divisor
325     *          the divisor value.
326     * @return this unit divided by the specified divisor.
327     * @since 2.0
328     */
329    Unit<Q> divide(Number divisor);
330    
331    /**
332     * Returns the result of dividing this unit by an approximate divisor. For example:<br>
333     *
334     * <code>
335     *    GRAM = KILOGRAM.divide(1000d);
336     * </code>
337     *
338     * @param divisor
339     *          the divisor value.
340     * @return this unit divided by the specified divisor.
341     */
342    Unit<Q> divide(double divisor);
343
344    /**
345     * Returns the quotient of this unit with the one specified.
346     *
347     * @param divisor
348     *          the unit divisor.
349     * @return {@code this / divisor}
350     */
351    Unit<?> divide(Unit<?> divisor);
352
353    /**
354     * Returns an unit that is the n-th (integer) root of this unit. Equivalent to the mathematical expression {@code unit^(1/n)}.
355     *
356     * @param n
357     *          an integer giving the root's order as in 'n-th root'
358     * @return the n-th root of this unit.
359     * @throws ArithmeticException
360     *           if {@code n == 0} or if this operation would result in an unit with a fractional exponent.
361     */
362    Unit<?> root(int n);
363
364    /**
365     * Returns an unit raised to the n-th (integer) power of this unit. Equivalent to the mathematical expression {@code unit^n}.
366     *
367     * @param n
368     *          the exponent.
369     * @return the result of raising this unit to the exponent.
370     */
371    Unit<?> pow(int n);
372
373    /**
374     * Returns the unit derived from this unit using the specified converter. The converter does not need to be linear. For example:<br>
375     *
376     * <pre>
377     *     {@literal Unit<Dimensionless>} DECIBEL = Unit.ONE.transform(
378     *         new LogConverter(10).inverse().concatenate(
379     *             new RationalConverter(1, 10)));
380     * </pre>
381     *
382     * @param operation
383     *          the converter from the transformed unit to this unit.
384     * @return the unit after the specified transformation.
385     */
386    Unit<Q> transform(UnitConverter operation);
387
388    /**
389     * Returns a string representation of this unit. The string representation may be the unit {@linkplain #getSymbol() symbol}, or may be some
390     * representation of {@linkplain #getBaseUnits() product units}, multiplication factor and offset if any.
391     *
392     * <p>
393     * The string may be localized at implementation choice by the means of a particular device and platform.
394     * </p>
395     *
396     * @return the string representation of this unit.
397     *
398     * @see #getSymbol()
399     * @see javax.measure.format.UnitFormat
400     */
401    @Override
402    String toString();
403
404    /**
405     * Returns a new unit equal to this unit prefixed by the specified {@code prefix}.
406     *
407     * @param prefix
408     *          the prefix to apply on this unit.
409     * @return the unit with the given prefix applied.
410     * @since 2.0
411     */
412    Unit<Q> prefix(Prefix prefix);
413}