hg/bck2brwsr: emul/src/main/java/java/lang/Math.java@1376481f15e7 (annotated)

jaroslav@67	1	/*
jaroslav@67	2	* Copyright (c) 1994, 2011, Oracle and/or its affiliates. All rights reserved.
jaroslav@67	3	* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
jaroslav@67	4	*
jaroslav@67	5	* This code is free software; you can redistribute it and/or modify it
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jaroslav@67	8	* particular file as subject to the "Classpath" exception as provided
jaroslav@67	9	* by Oracle in the LICENSE file that accompanied this code.
jaroslav@67	10	*
jaroslav@67	11	* This code is distributed in the hope that it will be useful, but WITHOUT
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jaroslav@67	25
jaroslav@67	26	package java.lang;
jaroslav@67	27
jaroslav@104	28	import org.apidesign.bck2brwsr.core.JavaScriptBody;
jaroslav@104	29
jaroslav@67	30
jaroslav@67	31	/**
jaroslav@67	32	* The class {@code Math} contains methods for performing basic
jaroslav@67	33	* numeric operations such as the elementary exponential, logarithm,
jaroslav@67	34	* square root, and trigonometric functions.
jaroslav@67	35	*
jaroslav@67	36	* <p>Unlike some of the numeric methods of class
jaroslav@67	37	* {@code StrictMath}, all implementations of the equivalent
jaroslav@67	38	* functions of class {@code Math} are not defined to return the
jaroslav@67	39	* bit-for-bit same results. This relaxation permits
jaroslav@67	40	* better-performing implementations where strict reproducibility is
jaroslav@67	41	* not required.
jaroslav@67	42	*
jaroslav@67	43	* <p>By default many of the {@code Math} methods simply call
jaroslav@67	44	* the equivalent method in {@code StrictMath} for their
jaroslav@67	45	* implementation. Code generators are encouraged to use
jaroslav@67	46	* platform-specific native libraries or microprocessor instructions,
jaroslav@67	47	* where available, to provide higher-performance implementations of
jaroslav@67	48	* {@code Math} methods. Such higher-performance
jaroslav@67	49	* implementations still must conform to the specification for
jaroslav@67	50	* {@code Math}.
jaroslav@67	51	*
jaroslav@67	52	* <p>The quality of implementation specifications concern two
jaroslav@67	53	* properties, accuracy of the returned result and monotonicity of the
jaroslav@67	54	* method. Accuracy of the floating-point {@code Math} methods
jaroslav@67	55	* is measured in terms of <i>ulps</i>, units in the last place. For
jaroslav@67	56	* a given floating-point format, an ulp of a specific real number
jaroslav@67	57	* value is the distance between the two floating-point values
jaroslav@67	58	* bracketing that numerical value. When discussing the accuracy of a
jaroslav@67	59	* method as a whole rather than at a specific argument, the number of
jaroslav@67	60	* ulps cited is for the worst-case error at any argument. If a
jaroslav@67	61	* method always has an error less than 0.5 ulps, the method always
jaroslav@67	62	* returns the floating-point number nearest the exact result; such a
jaroslav@67	63	* method is <i>correctly rounded</i>. A correctly rounded method is
jaroslav@67	64	* generally the best a floating-point approximation can be; however,
jaroslav@67	65	* it is impractical for many floating-point methods to be correctly
jaroslav@67	66	* rounded. Instead, for the {@code Math} class, a larger error
jaroslav@67	67	* bound of 1 or 2 ulps is allowed for certain methods. Informally,
jaroslav@67	68	* with a 1 ulp error bound, when the exact result is a representable
jaroslav@67	69	* number, the exact result should be returned as the computed result;
jaroslav@67	70	* otherwise, either of the two floating-point values which bracket
jaroslav@67	71	* the exact result may be returned. For exact results large in
jaroslav@67	72	* magnitude, one of the endpoints of the bracket may be infinite.
jaroslav@67	73	* Besides accuracy at individual arguments, maintaining proper
jaroslav@67	74	* relations between the method at different arguments is also
jaroslav@67	75	* important. Therefore, most methods with more than 0.5 ulp errors
jaroslav@67	76	* are required to be <i>semi-monotonic</i>: whenever the mathematical
jaroslav@67	77	* function is non-decreasing, so is the floating-point approximation,
jaroslav@67	78	* likewise, whenever the mathematical function is non-increasing, so
jaroslav@67	79	* is the floating-point approximation. Not all approximations that
jaroslav@67	80	* have 1 ulp accuracy will automatically meet the monotonicity
jaroslav@67	81	* requirements.
jaroslav@67	82	*
jaroslav@67	83	* @author unascribed
jaroslav@67	84	* @author Joseph D. Darcy
jaroslav@67	85	* @since JDK1.0
jaroslav@67	86	*/
jaroslav@67	87
jaroslav@67	88	public final class Math {
jaroslav@67	89
jaroslav@67	90	/**
jaroslav@67	91	* Don't let anyone instantiate this class.
jaroslav@67	92	*/
jaroslav@67	93	private Math() {}
jaroslav@67	94
jaroslav@67	95	/**
jaroslav@67	96	* The {@code double} value that is closer than any other to
jaroslav@67	97	* <i>e</i>, the base of the natural logarithms.
jaroslav@67	98	*/
jaroslav@67	99	public static final double E = 2.7182818284590452354;
jaroslav@67	100
jaroslav@67	101	/**
jaroslav@67	102	* The {@code double} value that is closer than any other to
jaroslav@67	103	* <i>pi</i>, the ratio of the circumference of a circle to its
jaroslav@67	104	* diameter.
jaroslav@67	105	*/
jaroslav@67	106	public static final double PI = 3.14159265358979323846;
jaroslav@67	107
jaroslav@67	108	/**
jaroslav@67	109	* Returns the trigonometric sine of an angle. Special cases:
jaroslav@67	110	* <ul><li>If the argument is NaN or an infinity, then the
jaroslav@67	111	* result is NaN.
jaroslav@67	112	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	113	* same sign as the argument.</ul>
jaroslav@67	114	*
jaroslav@67	115	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	116	* Results must be semi-monotonic.
jaroslav@67	117	*
jaroslav@67	118	* @param a an angle, in radians.
jaroslav@67	119	* @return the sine of the argument.
jaroslav@67	120	*/
jaroslav@67	121	public static double sin(double a) {
jaroslav@67	122	return StrictMath.sin(a); // default impl. delegates to StrictMath
jaroslav@67	123	}
jaroslav@67	124
jaroslav@67	125	/**
jaroslav@67	126	* Returns the trigonometric cosine of an angle. Special cases:
jaroslav@67	127	* <ul><li>If the argument is NaN or an infinity, then the
jaroslav@67	128	* result is NaN.</ul>
jaroslav@67	129	*
jaroslav@67	130	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	131	* Results must be semi-monotonic.
jaroslav@67	132	*
jaroslav@67	133	* @param a an angle, in radians.
jaroslav@67	134	* @return the cosine of the argument.
jaroslav@67	135	*/
jaroslav@67	136	public static double cos(double a) {
jaroslav@67	137	return StrictMath.cos(a); // default impl. delegates to StrictMath
jaroslav@67	138	}
jaroslav@67	139
jaroslav@67	140	/**
jaroslav@67	141	* Returns the trigonometric tangent of an angle. Special cases:
jaroslav@67	142	* <ul><li>If the argument is NaN or an infinity, then the result
jaroslav@67	143	* is NaN.
jaroslav@67	144	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	145	* same sign as the argument.</ul>
jaroslav@67	146	*
jaroslav@67	147	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	148	* Results must be semi-monotonic.
jaroslav@67	149	*
jaroslav@67	150	* @param a an angle, in radians.
jaroslav@67	151	* @return the tangent of the argument.
jaroslav@67	152	*/
jaroslav@67	153	public static double tan(double a) {
jaroslav@67	154	return StrictMath.tan(a); // default impl. delegates to StrictMath
jaroslav@67	155	}
jaroslav@67	156
jaroslav@67	157	/**
jaroslav@67	158	* Returns the arc sine of a value; the returned angle is in the
jaroslav@67	159	* range -<i>pi</i>/2 through <i>pi</i>/2. Special cases:
jaroslav@67	160	* <ul><li>If the argument is NaN or its absolute value is greater
jaroslav@67	161	* than 1, then the result is NaN.
jaroslav@67	162	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	163	* same sign as the argument.</ul>
jaroslav@67	164	*
jaroslav@67	165	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	166	* Results must be semi-monotonic.
jaroslav@67	167	*
jaroslav@67	168	* @param a the value whose arc sine is to be returned.
jaroslav@67	169	* @return the arc sine of the argument.
jaroslav@67	170	*/
jaroslav@67	171	public static double asin(double a) {
jaroslav@67	172	return StrictMath.asin(a); // default impl. delegates to StrictMath
jaroslav@67	173	}
jaroslav@67	174
jaroslav@67	175	/**
jaroslav@67	176	* Returns the arc cosine of a value; the returned angle is in the
jaroslav@67	177	* range 0.0 through <i>pi</i>. Special case:
jaroslav@67	178	* <ul><li>If the argument is NaN or its absolute value is greater
jaroslav@67	179	* than 1, then the result is NaN.</ul>
jaroslav@67	180	*
jaroslav@67	181	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	182	* Results must be semi-monotonic.
jaroslav@67	183	*
jaroslav@67	184	* @param a the value whose arc cosine is to be returned.
jaroslav@67	185	* @return the arc cosine of the argument.
jaroslav@67	186	*/
jaroslav@67	187	public static double acos(double a) {
jaroslav@67	188	return StrictMath.acos(a); // default impl. delegates to StrictMath
jaroslav@67	189	}
jaroslav@67	190
jaroslav@67	191	/**
jaroslav@67	192	* Returns the arc tangent of a value; the returned angle is in the
jaroslav@67	193	* range -<i>pi</i>/2 through <i>pi</i>/2. Special cases:
jaroslav@67	194	* <ul><li>If the argument is NaN, then the result is NaN.
jaroslav@67	195	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	196	* same sign as the argument.</ul>
jaroslav@67	197	*
jaroslav@67	198	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	199	* Results must be semi-monotonic.
jaroslav@67	200	*
jaroslav@67	201	* @param a the value whose arc tangent is to be returned.
jaroslav@67	202	* @return the arc tangent of the argument.
jaroslav@67	203	*/
jaroslav@67	204	public static double atan(double a) {
jaroslav@67	205	return StrictMath.atan(a); // default impl. delegates to StrictMath
jaroslav@67	206	}
jaroslav@67	207
jaroslav@67	208	/**
jaroslav@67	209	* Converts an angle measured in degrees to an approximately
jaroslav@67	210	* equivalent angle measured in radians. The conversion from
jaroslav@67	211	* degrees to radians is generally inexact.
jaroslav@67	212	*
jaroslav@67	213	* @param angdeg an angle, in degrees
jaroslav@67	214	* @return the measurement of the angle {@code angdeg}
jaroslav@67	215	* in radians.
jaroslav@67	216	* @since 1.2
jaroslav@67	217	*/
jaroslav@67	218	public static double toRadians(double angdeg) {
jaroslav@67	219	return angdeg / 180.0 * PI;
jaroslav@67	220	}
jaroslav@67	221
jaroslav@67	222	/**
jaroslav@67	223	* Converts an angle measured in radians to an approximately
jaroslav@67	224	* equivalent angle measured in degrees. The conversion from
jaroslav@67	225	* radians to degrees is generally inexact; users should
jaroslav@67	226	* <i>not</i> expect {@code cos(toRadians(90.0))} to exactly
jaroslav@67	227	* equal {@code 0.0}.
jaroslav@67	228	*
jaroslav@67	229	* @param angrad an angle, in radians
jaroslav@67	230	* @return the measurement of the angle {@code angrad}
jaroslav@67	231	* in degrees.
jaroslav@67	232	* @since 1.2
jaroslav@67	233	*/
jaroslav@67	234	public static double toDegrees(double angrad) {
jaroslav@67	235	return angrad * 180.0 / PI;
jaroslav@67	236	}
jaroslav@67	237
jaroslav@67	238	/**
jaroslav@67	239	* Returns Euler's number <i>e</i> raised to the power of a
jaroslav@67	240	* {@code double} value. Special cases:
jaroslav@67	241	* <ul><li>If the argument is NaN, the result is NaN.
jaroslav@67	242	* <li>If the argument is positive infinity, then the result is
jaroslav@67	243	* positive infinity.
jaroslav@67	244	* <li>If the argument is negative infinity, then the result is
jaroslav@67	245	* positive zero.</ul>
jaroslav@67	246	*
jaroslav@67	247	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	248	* Results must be semi-monotonic.
jaroslav@67	249	*
jaroslav@67	250	* @param a the exponent to raise <i>e</i> to.
jaroslav@67	251	* @return the value <i>e</i><sup>{@code a}</sup>,
jaroslav@67	252	* where <i>e</i> is the base of the natural logarithms.
jaroslav@67	253	*/
jaroslav@67	254	public static double exp(double a) {
jaroslav@67	255	return StrictMath.exp(a); // default impl. delegates to StrictMath
jaroslav@67	256	}
jaroslav@67	257
jaroslav@67	258	/**
jaroslav@67	259	* Returns the natural logarithm (base <i>e</i>) of a {@code double}
jaroslav@67	260	* value. Special cases:
jaroslav@67	261	* <ul><li>If the argument is NaN or less than zero, then the result
jaroslav@67	262	* is NaN.
jaroslav@67	263	* <li>If the argument is positive infinity, then the result is
jaroslav@67	264	* positive infinity.
jaroslav@67	265	* <li>If the argument is positive zero or negative zero, then the
jaroslav@67	266	* result is negative infinity.</ul>
jaroslav@67	267	*
jaroslav@67	268	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	269	* Results must be semi-monotonic.
jaroslav@67	270	*
jaroslav@67	271	* @param a a value
jaroslav@67	272	* @return the value ln {@code a}, the natural logarithm of
jaroslav@67	273	* {@code a}.
jaroslav@67	274	*/
jaroslav@67	275	public static double log(double a) {
jaroslav@67	276	return StrictMath.log(a); // default impl. delegates to StrictMath
jaroslav@67	277	}
jaroslav@67	278
jaroslav@67	279	/**
jaroslav@67	280	* Returns the base 10 logarithm of a {@code double} value.
jaroslav@67	281	* Special cases:
jaroslav@67	282	*
jaroslav@67	283	* <ul><li>If the argument is NaN or less than zero, then the result
jaroslav@67	284	* is NaN.
jaroslav@67	285	* <li>If the argument is positive infinity, then the result is
jaroslav@67	286	* positive infinity.
jaroslav@67	287	* <li>If the argument is positive zero or negative zero, then the
jaroslav@67	288	* result is negative infinity.
jaroslav@67	289	* <li> If the argument is equal to 10<sup><i>n</i></sup> for
jaroslav@67	290	* integer <i>n</i>, then the result is <i>n</i>.
jaroslav@67	291	* </ul>
jaroslav@67	292	*
jaroslav@67	293	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	294	* Results must be semi-monotonic.
jaroslav@67	295	*
jaroslav@67	296	* @param a a value
jaroslav@67	297	* @return the base 10 logarithm of {@code a}.
jaroslav@67	298	* @since 1.5
jaroslav@67	299	*/
jaroslav@67	300	public static double log10(double a) {
jaroslav@67	301	return StrictMath.log10(a); // default impl. delegates to StrictMath
jaroslav@67	302	}
jaroslav@67	303
jaroslav@67	304	/**
jaroslav@67	305	* Returns the correctly rounded positive square root of a
jaroslav@67	306	* {@code double} value.
jaroslav@67	307	* Special cases:
jaroslav@67	308	* <ul><li>If the argument is NaN or less than zero, then the result
jaroslav@67	309	* is NaN.
jaroslav@67	310	* <li>If the argument is positive infinity, then the result is positive
jaroslav@67	311	* infinity.
jaroslav@67	312	* <li>If the argument is positive zero or negative zero, then the
jaroslav@67	313	* result is the same as the argument.</ul>
jaroslav@67	314	* Otherwise, the result is the {@code double} value closest to
jaroslav@67	315	* the true mathematical square root of the argument value.
jaroslav@67	316	*
jaroslav@67	317	* @param a a value.
jaroslav@67	318	* @return the positive square root of {@code a}.
jaroslav@67	319	* If the argument is NaN or less than zero, the result is NaN.
jaroslav@67	320	*/
jaroslav@67	321	public static double sqrt(double a) {
jaroslav@67	322	return StrictMath.sqrt(a); // default impl. delegates to StrictMath
jaroslav@67	323	// Note that hardware sqrt instructions
jaroslav@67	324	// frequently can be directly used by JITs
jaroslav@67	325	// and should be much faster than doing
jaroslav@67	326	// Math.sqrt in software.
jaroslav@67	327	}
jaroslav@67	328
jaroslav@67	329
jaroslav@67	330	/**
jaroslav@67	331	* Returns the cube root of a {@code double} value. For
jaroslav@67	332	* positive finite {@code x}, {@code cbrt(-x) ==
jaroslav@67	333	* -cbrt(x)}; that is, the cube root of a negative value is
jaroslav@67	334	* the negative of the cube root of that value's magnitude.
jaroslav@67	335	*
jaroslav@67	336	* Special cases:
jaroslav@67	337	*
jaroslav@67	338	* <ul>
jaroslav@67	339	*
jaroslav@67	340	* <li>If the argument is NaN, then the result is NaN.
jaroslav@67	341	*
jaroslav@67	342	* <li>If the argument is infinite, then the result is an infinity
jaroslav@67	343	* with the same sign as the argument.
jaroslav@67	344	*
jaroslav@67	345	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	346	* same sign as the argument.
jaroslav@67	347	*
jaroslav@67	348	* </ul>
jaroslav@67	349	*
jaroslav@67	350	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	351	*
jaroslav@67	352	* @param a a value.
jaroslav@67	353	* @return the cube root of {@code a}.
jaroslav@67	354	* @since 1.5
jaroslav@67	355	*/
jaroslav@67	356	public static double cbrt(double a) {
jaroslav@67	357	return StrictMath.cbrt(a);
jaroslav@67	358	}
jaroslav@67	359
jaroslav@67	360	/**
jaroslav@67	361	* Computes the remainder operation on two arguments as prescribed
jaroslav@67	362	* by the IEEE 754 standard.
jaroslav@67	363	* The remainder value is mathematically equal to
jaroslav@67	364	* <code>f1 - f2</code> × <i>n</i>,
jaroslav@67	365	* where <i>n</i> is the mathematical integer closest to the exact
jaroslav@67	366	* mathematical value of the quotient {@code f1/f2}, and if two
jaroslav@67	367	* mathematical integers are equally close to {@code f1/f2},
jaroslav@67	368	* then <i>n</i> is the integer that is even. If the remainder is
jaroslav@67	369	* zero, its sign is the same as the sign of the first argument.
jaroslav@67	370	* Special cases:
jaroslav@67	371	* <ul><li>If either argument is NaN, or the first argument is infinite,
jaroslav@67	372	* or the second argument is positive zero or negative zero, then the
jaroslav@67	373	* result is NaN.
jaroslav@67	374	* <li>If the first argument is finite and the second argument is
jaroslav@67	375	* infinite, then the result is the same as the first argument.</ul>
jaroslav@67	376	*
jaroslav@67	377	* @param f1 the dividend.
jaroslav@67	378	* @param f2 the divisor.
jaroslav@67	379	* @return the remainder when {@code f1} is divided by
jaroslav@67	380	* {@code f2}.
jaroslav@67	381	*/
jaroslav@67	382	public static double IEEEremainder(double f1, double f2) {
jaroslav@67	383	return StrictMath.IEEEremainder(f1, f2); // delegate to StrictMath
jaroslav@67	384	}
jaroslav@67	385
jaroslav@67	386	/**
jaroslav@67	387	* Returns the smallest (closest to negative infinity)
jaroslav@67	388	* {@code double} value that is greater than or equal to the
jaroslav@67	389	* argument and is equal to a mathematical integer. Special cases:
jaroslav@67	390	* <ul><li>If the argument value is already equal to a
jaroslav@67	391	* mathematical integer, then the result is the same as the
jaroslav@67	392	* argument. <li>If the argument is NaN or an infinity or
jaroslav@67	393	* positive zero or negative zero, then the result is the same as
jaroslav@67	394	* the argument. <li>If the argument value is less than zero but
jaroslav@67	395	* greater than -1.0, then the result is negative zero.</ul> Note
jaroslav@67	396	* that the value of {@code Math.ceil(x)} is exactly the
jaroslav@67	397	* value of {@code -Math.floor(-x)}.
jaroslav@67	398	*
jaroslav@67	399	*
jaroslav@67	400	* @param a a value.
jaroslav@67	401	* @return the smallest (closest to negative infinity)
jaroslav@67	402	* floating-point value that is greater than or equal to
jaroslav@67	403	* the argument and is equal to a mathematical integer.
jaroslav@67	404	*/
jaroslav@67	405	public static double ceil(double a) {
jaroslav@67	406	return StrictMath.ceil(a); // default impl. delegates to StrictMath
jaroslav@67	407	}
jaroslav@67	408
jaroslav@67	409	/**
jaroslav@67	410	* Returns the largest (closest to positive infinity)
jaroslav@67	411	* {@code double} value that is less than or equal to the
jaroslav@67	412	* argument and is equal to a mathematical integer. Special cases:
jaroslav@67	413	* <ul><li>If the argument value is already equal to a
jaroslav@67	414	* mathematical integer, then the result is the same as the
jaroslav@67	415	* argument. <li>If the argument is NaN or an infinity or
jaroslav@67	416	* positive zero or negative zero, then the result is the same as
jaroslav@67	417	* the argument.</ul>
jaroslav@67	418	*
jaroslav@67	419	* @param a a value.
jaroslav@67	420	* @return the largest (closest to positive infinity)
jaroslav@67	421	* floating-point value that less than or equal to the argument
jaroslav@67	422	* and is equal to a mathematical integer.
jaroslav@67	423	*/
jaroslav@67	424	public static double floor(double a) {
jaroslav@67	425	return StrictMath.floor(a); // default impl. delegates to StrictMath
jaroslav@67	426	}
jaroslav@67	427
jaroslav@67	428	/**
jaroslav@67	429	* Returns the {@code double} value that is closest in value
jaroslav@67	430	* to the argument and is equal to a mathematical integer. If two
jaroslav@67	431	* {@code double} values that are mathematical integers are
jaroslav@67	432	* equally close, the result is the integer value that is
jaroslav@67	433	* even. Special cases:
jaroslav@67	434	* <ul><li>If the argument value is already equal to a mathematical
jaroslav@67	435	* integer, then the result is the same as the argument.
jaroslav@67	436	* <li>If the argument is NaN or an infinity or positive zero or negative
jaroslav@67	437	* zero, then the result is the same as the argument.</ul>
jaroslav@67	438	*
jaroslav@67	439	* @param a a {@code double} value.
jaroslav@67	440	* @return the closest floating-point value to {@code a} that is
jaroslav@67	441	* equal to a mathematical integer.
jaroslav@67	442	*/
jaroslav@67	443	public static double rint(double a) {
jaroslav@67	444	return StrictMath.rint(a); // default impl. delegates to StrictMath
jaroslav@67	445	}
jaroslav@67	446
jaroslav@67	447	/**
jaroslav@67	448	* Returns the angle <i>theta</i> from the conversion of rectangular
jaroslav@67	449	* coordinates ({@code x}, {@code y}) to polar
jaroslav@67	450	* coordinates (r, <i>theta</i>).
jaroslav@67	451	* This method computes the phase <i>theta</i> by computing an arc tangent
jaroslav@67	452	* of {@code y/x} in the range of -<i>pi</i> to <i>pi</i>. Special
jaroslav@67	453	* cases:
jaroslav@67	454	* <ul><li>If either argument is NaN, then the result is NaN.
jaroslav@67	455	* <li>If the first argument is positive zero and the second argument
jaroslav@67	456	* is positive, or the first argument is positive and finite and the
jaroslav@67	457	* second argument is positive infinity, then the result is positive
jaroslav@67	458	* zero.
jaroslav@67	459	* <li>If the first argument is negative zero and the second argument
jaroslav@67	460	* is positive, or the first argument is negative and finite and the
jaroslav@67	461	* second argument is positive infinity, then the result is negative zero.
jaroslav@67	462	* <li>If the first argument is positive zero and the second argument
jaroslav@67	463	* is negative, or the first argument is positive and finite and the
jaroslav@67	464	* second argument is negative infinity, then the result is the
jaroslav@67	465	* {@code double} value closest to <i>pi</i>.
jaroslav@67	466	* <li>If the first argument is negative zero and the second argument
jaroslav@67	467	* is negative, or the first argument is negative and finite and the
jaroslav@67	468	* second argument is negative infinity, then the result is the
jaroslav@67	469	* {@code double} value closest to -<i>pi</i>.
jaroslav@67	470	* <li>If the first argument is positive and the second argument is
jaroslav@67	471	* positive zero or negative zero, or the first argument is positive
jaroslav@67	472	* infinity and the second argument is finite, then the result is the
jaroslav@67	473	* {@code double} value closest to <i>pi</i>/2.
jaroslav@67	474	* <li>If the first argument is negative and the second argument is
jaroslav@67	475	* positive zero or negative zero, or the first argument is negative
jaroslav@67	476	* infinity and the second argument is finite, then the result is the
jaroslav@67	477	* {@code double} value closest to -<i>pi</i>/2.
jaroslav@67	478	* <li>If both arguments are positive infinity, then the result is the
jaroslav@67	479	* {@code double} value closest to <i>pi</i>/4.
jaroslav@67	480	* <li>If the first argument is positive infinity and the second argument
jaroslav@67	481	* is negative infinity, then the result is the {@code double}
jaroslav@67	482	* value closest to 3*<i>pi</i>/4.
jaroslav@67	483	* <li>If the first argument is negative infinity and the second argument
jaroslav@67	484	* is positive infinity, then the result is the {@code double} value
jaroslav@67	485	* closest to -<i>pi</i>/4.
jaroslav@67	486	* <li>If both arguments are negative infinity, then the result is the
jaroslav@67	487	* {@code double} value closest to -3*<i>pi</i>/4.</ul>
jaroslav@67	488	*
jaroslav@67	489	* <p>The computed result must be within 2 ulps of the exact result.
jaroslav@67	490	* Results must be semi-monotonic.
jaroslav@67	491	*
jaroslav@67	492	* @param y the ordinate coordinate
jaroslav@67	493	* @param x the abscissa coordinate
jaroslav@67	494	* @return the <i>theta</i> component of the point
jaroslav@67	495	* (<i>r</i>, <i>theta</i>)
jaroslav@67	496	* in polar coordinates that corresponds to the point
jaroslav@67	497	* (<i>x</i>, <i>y</i>) in Cartesian coordinates.
jaroslav@67	498	*/
jaroslav@67	499	public static double atan2(double y, double x) {
jaroslav@67	500	return StrictMath.atan2(y, x); // default impl. delegates to StrictMath
jaroslav@67	501	}
jaroslav@67	502
jaroslav@67	503	/**
jaroslav@67	504	* Returns the value of the first argument raised to the power of the
jaroslav@67	505	* second argument. Special cases:
jaroslav@67	506	*
jaroslav@67	507	* <ul><li>If the second argument is positive or negative zero, then the
jaroslav@67	508	* result is 1.0.
jaroslav@67	509	* <li>If the second argument is 1.0, then the result is the same as the
jaroslav@67	510	* first argument.
jaroslav@67	511	* <li>If the second argument is NaN, then the result is NaN.
jaroslav@67	512	* <li>If the first argument is NaN and the second argument is nonzero,
jaroslav@67	513	* then the result is NaN.
jaroslav@67	514	*
jaroslav@67	515	* <li>If
jaroslav@67	516	* <ul>
jaroslav@67	517	* <li>the absolute value of the first argument is greater than 1
jaroslav@67	518	* and the second argument is positive infinity, or
jaroslav@67	519	* <li>the absolute value of the first argument is less than 1 and
jaroslav@67	520	* the second argument is negative infinity,
jaroslav@67	521	* </ul>
jaroslav@67	522	* then the result is positive infinity.
jaroslav@67	523	*
jaroslav@67	524	* <li>If
jaroslav@67	525	* <ul>
jaroslav@67	526	* <li>the absolute value of the first argument is greater than 1 and
jaroslav@67	527	* the second argument is negative infinity, or
jaroslav@67	528	* <li>the absolute value of the
jaroslav@67	529	* first argument is less than 1 and the second argument is positive
jaroslav@67	530	* infinity,
jaroslav@67	531	* </ul>
jaroslav@67	532	* then the result is positive zero.
jaroslav@67	533	*
jaroslav@67	534	* <li>If the absolute value of the first argument equals 1 and the
jaroslav@67	535	* second argument is infinite, then the result is NaN.
jaroslav@67	536	*
jaroslav@67	537	* <li>If
jaroslav@67	538	* <ul>
jaroslav@67	539	* <li>the first argument is positive zero and the second argument
jaroslav@67	540	* is greater than zero, or
jaroslav@67	541	* <li>the first argument is positive infinity and the second
jaroslav@67	542	* argument is less than zero,
jaroslav@67	543	* </ul>
jaroslav@67	544	* then the result is positive zero.
jaroslav@67	545	*
jaroslav@67	546	* <li>If
jaroslav@67	547	* <ul>
jaroslav@67	548	* <li>the first argument is positive zero and the second argument
jaroslav@67	549	* is less than zero, or
jaroslav@67	550	* <li>the first argument is positive infinity and the second
jaroslav@67	551	* argument is greater than zero,
jaroslav@67	552	* </ul>
jaroslav@67	553	* then the result is positive infinity.
jaroslav@67	554	*
jaroslav@67	555	* <li>If
jaroslav@67	556	* <ul>
jaroslav@67	557	* <li>the first argument is negative zero and the second argument
jaroslav@67	558	* is greater than zero but not a finite odd integer, or
jaroslav@67	559	* <li>the first argument is negative infinity and the second
jaroslav@67	560	* argument is less than zero but not a finite odd integer,
jaroslav@67	561	* </ul>
jaroslav@67	562	* then the result is positive zero.
jaroslav@67	563	*
jaroslav@67	564	* <li>If
jaroslav@67	565	* <ul>
jaroslav@67	566	* <li>the first argument is negative zero and the second argument
jaroslav@67	567	* is a positive finite odd integer, or
jaroslav@67	568	* <li>the first argument is negative infinity and the second
jaroslav@67	569	* argument is a negative finite odd integer,
jaroslav@67	570	* </ul>
jaroslav@67	571	* then the result is negative zero.
jaroslav@67	572	*
jaroslav@67	573	* <li>If
jaroslav@67	574	* <ul>
jaroslav@67	575	* <li>the first argument is negative zero and the second argument
jaroslav@67	576	* is less than zero but not a finite odd integer, or
jaroslav@67	577	* <li>the first argument is negative infinity and the second
jaroslav@67	578	* argument is greater than zero but not a finite odd integer,
jaroslav@67	579	* </ul>
jaroslav@67	580	* then the result is positive infinity.
jaroslav@67	581	*
jaroslav@67	582	* <li>If
jaroslav@67	583	* <ul>
jaroslav@67	584	* <li>the first argument is negative zero and the second argument
jaroslav@67	585	* is a negative finite odd integer, or
jaroslav@67	586	* <li>the first argument is negative infinity and the second
jaroslav@67	587	* argument is a positive finite odd integer,
jaroslav@67	588	* </ul>
jaroslav@67	589	* then the result is negative infinity.
jaroslav@67	590	*
jaroslav@67	591	* <li>If the first argument is finite and less than zero
jaroslav@67	592	* <ul>
jaroslav@67	593	* <li> if the second argument is a finite even integer, the
jaroslav@67	594	* result is equal to the result of raising the absolute value of
jaroslav@67	595	* the first argument to the power of the second argument
jaroslav@67	596	*
jaroslav@67	597	* <li>if the second argument is a finite odd integer, the result
jaroslav@67	598	* is equal to the negative of the result of raising the absolute
jaroslav@67	599	* value of the first argument to the power of the second
jaroslav@67	600	* argument
jaroslav@67	601	*
jaroslav@67	602	* <li>if the second argument is finite and not an integer, then
jaroslav@67	603	* the result is NaN.
jaroslav@67	604	* </ul>
jaroslav@67	605	*
jaroslav@67	606	* <li>If both arguments are integers, then the result is exactly equal
jaroslav@67	607	* to the mathematical result of raising the first argument to the power
jaroslav@67	608	* of the second argument if that result can in fact be represented
jaroslav@67	609	* exactly as a {@code double} value.</ul>
jaroslav@67	610	*
jaroslav@67	611	* <p>(In the foregoing descriptions, a floating-point value is
jaroslav@67	612	* considered to be an integer if and only if it is finite and a
jaroslav@67	613	* fixed point of the method {@link #ceil ceil} or,
jaroslav@67	614	* equivalently, a fixed point of the method {@link #floor
jaroslav@67	615	* floor}. A value is a fixed point of a one-argument
jaroslav@67	616	* method if and only if the result of applying the method to the
jaroslav@67	617	* value is equal to the value.)
jaroslav@67	618	*
jaroslav@67	619	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	620	* Results must be semi-monotonic.
jaroslav@67	621	*
jaroslav@67	622	* @param a the base.
jaroslav@67	623	* @param b the exponent.
jaroslav@67	624	* @return the value {@code a}<sup>{@code b}</sup>.
jaroslav@67	625	*/
jaroslav@67	626	public static double pow(double a, double b) {
jaroslav@67	627	return StrictMath.pow(a, b); // default impl. delegates to StrictMath
jaroslav@67	628	}
jaroslav@67	629
jaroslav@67	630	/**
jaroslav@67	631	* Returns the closest {@code int} to the argument, with ties
jaroslav@67	632	* rounding up.
jaroslav@67	633	*
jaroslav@67	634	* <p>
jaroslav@67	635	* Special cases:
jaroslav@67	636	* <ul><li>If the argument is NaN, the result is 0.
jaroslav@67	637	* <li>If the argument is negative infinity or any value less than or
jaroslav@67	638	* equal to the value of {@code Integer.MIN_VALUE}, the result is
jaroslav@67	639	* equal to the value of {@code Integer.MIN_VALUE}.
jaroslav@67	640	* <li>If the argument is positive infinity or any value greater than or
jaroslav@67	641	* equal to the value of {@code Integer.MAX_VALUE}, the result is
jaroslav@67	642	* equal to the value of {@code Integer.MAX_VALUE}.</ul>
jaroslav@67	643	*
jaroslav@67	644	* @param a a floating-point value to be rounded to an integer.
jaroslav@67	645	* @return the value of the argument rounded to the nearest
jaroslav@67	646	* {@code int} value.
jaroslav@67	647	* @see java.lang.Integer#MAX_VALUE
jaroslav@67	648	* @see java.lang.Integer#MIN_VALUE
jaroslav@67	649	*/
jaroslav@67	650	public static int round(float a) {
jaroslav@67	651	if (a != 0x1.fffffep-2f) // greatest float value less than 0.5
jaroslav@67	652	return (int)floor(a + 0.5f);
jaroslav@67	653	else
jaroslav@67	654	return 0;
jaroslav@67	655	}
jaroslav@67	656
jaroslav@67	657	/**
jaroslav@67	658	* Returns the closest {@code long} to the argument, with ties
jaroslav@67	659	* rounding up.
jaroslav@67	660	*
jaroslav@67	661	* <p>Special cases:
jaroslav@67	662	* <ul><li>If the argument is NaN, the result is 0.
jaroslav@67	663	* <li>If the argument is negative infinity or any value less than or
jaroslav@67	664	* equal to the value of {@code Long.MIN_VALUE}, the result is
jaroslav@67	665	* equal to the value of {@code Long.MIN_VALUE}.
jaroslav@67	666	* <li>If the argument is positive infinity or any value greater than or
jaroslav@67	667	* equal to the value of {@code Long.MAX_VALUE}, the result is
jaroslav@67	668	* equal to the value of {@code Long.MAX_VALUE}.</ul>
jaroslav@67	669	*
jaroslav@67	670	* @param a a floating-point value to be rounded to a
jaroslav@67	671	* {@code long}.
jaroslav@67	672	* @return the value of the argument rounded to the nearest
jaroslav@67	673	* {@code long} value.
jaroslav@67	674	* @see java.lang.Long#MAX_VALUE
jaroslav@67	675	* @see java.lang.Long#MIN_VALUE
jaroslav@67	676	*/
jaroslav@67	677	public static long round(double a) {
jaroslav@67	678	if (a != 0x1.fffffffffffffp-2) // greatest double value less than 0.5
jaroslav@67	679	return (long)floor(a + 0.5d);
jaroslav@67	680	else
jaroslav@67	681	return 0;
jaroslav@67	682	}
jaroslav@67	683
jaroslav@84	684	// private static Random randomNumberGenerator;
jaroslav@84	685	//
jaroslav@84	686	// private static synchronized Random initRNG() {
jaroslav@84	687	// Random rnd = randomNumberGenerator;
jaroslav@84	688	// return (rnd == null) ? (randomNumberGenerator = new Random()) : rnd;
jaroslav@84	689	// }
jaroslav@67	690
jaroslav@67	691	/**
jaroslav@67	692	* Returns a {@code double} value with a positive sign, greater
jaroslav@67	693	* than or equal to {@code 0.0} and less than {@code 1.0}.
jaroslav@67	694	* Returned values are chosen pseudorandomly with (approximately)
jaroslav@67	695	* uniform distribution from that range.
jaroslav@67	696	*
jaroslav@67	697	* <p>When this method is first called, it creates a single new
jaroslav@67	698	* pseudorandom-number generator, exactly as if by the expression
jaroslav@67	699	*
jaroslav@67	700	* <blockquote>{@code new java.util.Random()}</blockquote>
jaroslav@67	701	*
jaroslav@67	702	* This new pseudorandom-number generator is used thereafter for
jaroslav@67	703	* all calls to this method and is used nowhere else.
jaroslav@67	704	*
jaroslav@67	705	* <p>This method is properly synchronized to allow correct use by
jaroslav@67	706	* more than one thread. However, if many threads need to generate
jaroslav@67	707	* pseudorandom numbers at a great rate, it may reduce contention
jaroslav@67	708	* for each thread to have its own pseudorandom-number generator.
jaroslav@67	709	*
jaroslav@67	710	* @return a pseudorandom {@code double} greater than or equal
jaroslav@67	711	* to {@code 0.0} and less than {@code 1.0}.
jaroslav@67	712	* @see Random#nextDouble()
jaroslav@67	713	*/
jaroslav@67	714	public static double random() {
jaroslav@84	715	throw new UnsupportedOperationException();
jaroslav@67	716	}
jaroslav@67	717
jaroslav@67	718	/**
jaroslav@67	719	* Returns the absolute value of an {@code int} value.
jaroslav@67	720	* If the argument is not negative, the argument is returned.
jaroslav@67	721	* If the argument is negative, the negation of the argument is returned.
jaroslav@67	722	*
jaroslav@67	723	* <p>Note that if the argument is equal to the value of
jaroslav@67	724	* {@link Integer#MIN_VALUE}, the most negative representable
jaroslav@67	725	* {@code int} value, the result is that same value, which is
jaroslav@67	726	* negative.
jaroslav@67	727	*
jaroslav@67	728	* @param a the argument whose absolute value is to be determined
jaroslav@67	729	* @return the absolute value of the argument.
jaroslav@67	730	*/
jaroslav@67	731	public static int abs(int a) {
jaroslav@67	732	return (a < 0) ? -a : a;
jaroslav@67	733	}
jaroslav@67	734
jaroslav@67	735	/**
jaroslav@67	736	* Returns the absolute value of a {@code long} value.
jaroslav@67	737	* If the argument is not negative, the argument is returned.
jaroslav@67	738	* If the argument is negative, the negation of the argument is returned.
jaroslav@67	739	*
jaroslav@67	740	* <p>Note that if the argument is equal to the value of
jaroslav@67	741	* {@link Long#MIN_VALUE}, the most negative representable
jaroslav@67	742	* {@code long} value, the result is that same value, which
jaroslav@67	743	* is negative.
jaroslav@67	744	*
jaroslav@67	745	* @param a the argument whose absolute value is to be determined
jaroslav@67	746	* @return the absolute value of the argument.
jaroslav@67	747	*/
jaroslav@67	748	public static long abs(long a) {
jaroslav@67	749	return (a < 0) ? -a : a;
jaroslav@67	750	}
jaroslav@67	751
jaroslav@67	752	/**
jaroslav@67	753	* Returns the absolute value of a {@code float} value.
jaroslav@67	754	* If the argument is not negative, the argument is returned.
jaroslav@67	755	* If the argument is negative, the negation of the argument is returned.
jaroslav@67	756	* Special cases:
jaroslav@67	757	* <ul><li>If the argument is positive zero or negative zero, the
jaroslav@67	758	* result is positive zero.
jaroslav@67	759	* <li>If the argument is infinite, the result is positive infinity.
jaroslav@67	760	* <li>If the argument is NaN, the result is NaN.</ul>
jaroslav@67	761	* In other words, the result is the same as the value of the expression:
jaroslav@67	762	* <p>{@code Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))}
jaroslav@67	763	*
jaroslav@67	764	* @param a the argument whose absolute value is to be determined
jaroslav@67	765	* @return the absolute value of the argument.
jaroslav@67	766	*/
jaroslav@67	767	public static float abs(float a) {
jaroslav@67	768	return (a <= 0.0F) ? 0.0F - a : a;
jaroslav@67	769	}
jaroslav@67	770
jaroslav@67	771	/**
jaroslav@67	772	* Returns the absolute value of a {@code double} value.
jaroslav@67	773	* If the argument is not negative, the argument is returned.
jaroslav@67	774	* If the argument is negative, the negation of the argument is returned.
jaroslav@67	775	* Special cases:
jaroslav@67	776	* <ul><li>If the argument is positive zero or negative zero, the result
jaroslav@67	777	* is positive zero.
jaroslav@67	778	* <li>If the argument is infinite, the result is positive infinity.
jaroslav@67	779	* <li>If the argument is NaN, the result is NaN.</ul>
jaroslav@67	780	* In other words, the result is the same as the value of the expression:
jaroslav@67	781	* <p>{@code Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)}
jaroslav@67	782	*
jaroslav@67	783	* @param a the argument whose absolute value is to be determined
jaroslav@67	784	* @return the absolute value of the argument.
jaroslav@67	785	*/
jaroslav@67	786	public static double abs(double a) {
jaroslav@67	787	return (a <= 0.0D) ? 0.0D - a : a;
jaroslav@67	788	}
jaroslav@67	789
jaroslav@67	790	/**
jaroslav@67	791	* Returns the greater of two {@code int} values. That is, the
jaroslav@67	792	* result is the argument closer to the value of
jaroslav@67	793	* {@link Integer#MAX_VALUE}. If the arguments have the same value,
jaroslav@67	794	* the result is that same value.
jaroslav@67	795	*
jaroslav@67	796	* @param a an argument.
jaroslav@67	797	* @param b another argument.
jaroslav@67	798	* @return the larger of {@code a} and {@code b}.
jaroslav@67	799	*/
jaroslav@67	800	public static int max(int a, int b) {
jaroslav@67	801	return (a >= b) ? a : b;
jaroslav@67	802	}
jaroslav@67	803
jaroslav@67	804	/**
jaroslav@67	805	* Returns the greater of two {@code long} values. That is, the
jaroslav@67	806	* result is the argument closer to the value of
jaroslav@67	807	* {@link Long#MAX_VALUE}. If the arguments have the same value,
jaroslav@67	808	* the result is that same value.
jaroslav@67	809	*
jaroslav@67	810	* @param a an argument.
jaroslav@67	811	* @param b another argument.
jaroslav@67	812	* @return the larger of {@code a} and {@code b}.
jaroslav@67	813	*/
jaroslav@67	814	public static long max(long a, long b) {
jaroslav@67	815	return (a >= b) ? a : b;
jaroslav@67	816	}
jaroslav@67	817
jaroslav@67	818	/**
jaroslav@67	819	* Returns the greater of two {@code float} values. That is,
jaroslav@67	820	* the result is the argument closer to positive infinity. If the
jaroslav@67	821	* arguments have the same value, the result is that same
jaroslav@67	822	* value. If either value is NaN, then the result is NaN. Unlike
jaroslav@67	823	* the numerical comparison operators, this method considers
jaroslav@67	824	* negative zero to be strictly smaller than positive zero. If one
jaroslav@67	825	* argument is positive zero and the other negative zero, the
jaroslav@67	826	* result is positive zero.
jaroslav@67	827	*
jaroslav@67	828	* @param a an argument.
jaroslav@67	829	* @param b another argument.
jaroslav@67	830	* @return the larger of {@code a} and {@code b}.
jaroslav@67	831	*/
jaroslav@104	832	@JavaScriptBody(args={"a", "b"},
jaroslav@104	833	body="return Math.max(a,b);"
jaroslav@104	834	)
jaroslav@67	835	public static float max(float a, float b) {
jaroslav@104	836	throw new UnsupportedOperationException();
jaroslav@67	837	}
jaroslav@67	838
jaroslav@67	839	/**
jaroslav@67	840	* Returns the greater of two {@code double} values. That
jaroslav@67	841	* is, the result is the argument closer to positive infinity. If
jaroslav@67	842	* the arguments have the same value, the result is that same
jaroslav@67	843	* value. If either value is NaN, then the result is NaN. Unlike
jaroslav@67	844	* the numerical comparison operators, this method considers
jaroslav@67	845	* negative zero to be strictly smaller than positive zero. If one
jaroslav@67	846	* argument is positive zero and the other negative zero, the
jaroslav@67	847	* result is positive zero.
jaroslav@67	848	*
jaroslav@67	849	* @param a an argument.
jaroslav@67	850	* @param b another argument.
jaroslav@67	851	* @return the larger of {@code a} and {@code b}.
jaroslav@67	852	*/
jaroslav@104	853	@JavaScriptBody(args={"a", "b"},
jaroslav@104	854	body="return Math.max(a,b);"
jaroslav@104	855	)
jaroslav@67	856	public static double max(double a, double b) {
jaroslav@104	857	throw new UnsupportedOperationException();
jaroslav@67	858	}
jaroslav@67	859
jaroslav@67	860	/**
jaroslav@67	861	* Returns the smaller of two {@code int} values. That is,
jaroslav@67	862	* the result the argument closer to the value of
jaroslav@67	863	* {@link Integer#MIN_VALUE}. If the arguments have the same
jaroslav@67	864	* value, the result is that same value.
jaroslav@67	865	*
jaroslav@67	866	* @param a an argument.
jaroslav@67	867	* @param b another argument.
jaroslav@67	868	* @return the smaller of {@code a} and {@code b}.
jaroslav@67	869	*/
jaroslav@67	870	public static int min(int a, int b) {
jaroslav@67	871	return (a <= b) ? a : b;
jaroslav@67	872	}
jaroslav@67	873
jaroslav@67	874	/**
jaroslav@67	875	* Returns the smaller of two {@code long} values. That is,
jaroslav@67	876	* the result is the argument closer to the value of
jaroslav@67	877	* {@link Long#MIN_VALUE}. If the arguments have the same
jaroslav@67	878	* value, the result is that same value.
jaroslav@67	879	*
jaroslav@67	880	* @param a an argument.
jaroslav@67	881	* @param b another argument.
jaroslav@67	882	* @return the smaller of {@code a} and {@code b}.
jaroslav@67	883	*/
jaroslav@67	884	public static long min(long a, long b) {
jaroslav@67	885	return (a <= b) ? a : b;
jaroslav@67	886	}
jaroslav@67	887
jaroslav@67	888	/**
jaroslav@67	889	* Returns the smaller of two {@code float} values. That is,
jaroslav@67	890	* the result is the value closer to negative infinity. If the
jaroslav@67	891	* arguments have the same value, the result is that same
jaroslav@67	892	* value. If either value is NaN, then the result is NaN. Unlike
jaroslav@67	893	* the numerical comparison operators, this method considers
jaroslav@67	894	* negative zero to be strictly smaller than positive zero. If
jaroslav@67	895	* one argument is positive zero and the other is negative zero,
jaroslav@67	896	* the result is negative zero.
jaroslav@67	897	*
jaroslav@67	898	* @param a an argument.
jaroslav@67	899	* @param b another argument.
jaroslav@67	900	* @return the smaller of {@code a} and {@code b}.
jaroslav@67	901	*/
jaroslav@104	902	@JavaScriptBody(args={"a", "b"},
jaroslav@104	903	body="return Math.min(a,b);"
jaroslav@104	904	)
jaroslav@67	905	public static float min(float a, float b) {
jaroslav@104	906	throw new UnsupportedOperationException();
jaroslav@67	907	}
jaroslav@67	908
jaroslav@67	909	/**
jaroslav@67	910	* Returns the smaller of two {@code double} values. That
jaroslav@67	911	* is, the result is the value closer to negative infinity. If the
jaroslav@67	912	* arguments have the same value, the result is that same
jaroslav@67	913	* value. If either value is NaN, then the result is NaN. Unlike
jaroslav@67	914	* the numerical comparison operators, this method considers
jaroslav@67	915	* negative zero to be strictly smaller than positive zero. If one
jaroslav@67	916	* argument is positive zero and the other is negative zero, the
jaroslav@67	917	* result is negative zero.
jaroslav@67	918	*
jaroslav@67	919	* @param a an argument.
jaroslav@67	920	* @param b another argument.
jaroslav@67	921	* @return the smaller of {@code a} and {@code b}.
jaroslav@67	922	*/
jaroslav@104	923	@JavaScriptBody(args={"a", "b"},
jaroslav@104	924	body="return Math.min(a,b);"
jaroslav@104	925	)
jaroslav@67	926	public static double min(double a, double b) {
jaroslav@104	927	throw new UnsupportedOperationException();
jaroslav@67	928	}
jaroslav@67	929
jaroslav@67	930	/**
jaroslav@67	931	* Returns the size of an ulp of the argument. An ulp of a
jaroslav@67	932	* {@code double} value is the positive distance between this
jaroslav@67	933	* floating-point value and the {@code double} value next
jaroslav@67	934	* larger in magnitude. Note that for non-NaN <i>x</i>,
jaroslav@67	935	* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
jaroslav@67	936	*
jaroslav@67	937	* <p>Special Cases:
jaroslav@67	938	* <ul>
jaroslav@67	939	* <li> If the argument is NaN, then the result is NaN.
jaroslav@67	940	* <li> If the argument is positive or negative infinity, then the
jaroslav@67	941	* result is positive infinity.
jaroslav@67	942	* <li> If the argument is positive or negative zero, then the result is
jaroslav@67	943	* {@code Double.MIN_VALUE}.
jaroslav@67	944	* <li> If the argument is ±{@code Double.MAX_VALUE}, then
jaroslav@67	945	* the result is equal to 2<sup>971</sup>.
jaroslav@67	946	* </ul>
jaroslav@67	947	*
jaroslav@67	948	* @param d the floating-point value whose ulp is to be returned
jaroslav@67	949	* @return the size of an ulp of the argument
jaroslav@67	950	* @author Joseph D. Darcy
jaroslav@67	951	* @since 1.5
jaroslav@67	952	*/
jaroslav@84	953	// public static double ulp(double d) {
jaroslav@84	954	// return sun.misc.FpUtils.ulp(d);
jaroslav@84	955	// }
jaroslav@67	956
jaroslav@67	957	/**
jaroslav@67	958	* Returns the size of an ulp of the argument. An ulp of a
jaroslav@67	959	* {@code float} value is the positive distance between this
jaroslav@67	960	* floating-point value and the {@code float} value next
jaroslav@67	961	* larger in magnitude. Note that for non-NaN <i>x</i>,
jaroslav@67	962	* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
jaroslav@67	963	*
jaroslav@67	964	* <p>Special Cases:
jaroslav@67	965	* <ul>
jaroslav@67	966	* <li> If the argument is NaN, then the result is NaN.
jaroslav@67	967	* <li> If the argument is positive or negative infinity, then the
jaroslav@67	968	* result is positive infinity.
jaroslav@67	969	* <li> If the argument is positive or negative zero, then the result is
jaroslav@67	970	* {@code Float.MIN_VALUE}.
jaroslav@67	971	* <li> If the argument is ±{@code Float.MAX_VALUE}, then
jaroslav@67	972	* the result is equal to 2<sup>104</sup>.
jaroslav@67	973	* </ul>
jaroslav@67	974	*
jaroslav@67	975	* @param f the floating-point value whose ulp is to be returned
jaroslav@67	976	* @return the size of an ulp of the argument
jaroslav@67	977	* @author Joseph D. Darcy
jaroslav@67	978	* @since 1.5
jaroslav@67	979	*/
jaroslav@84	980	// public static float ulp(float f) {
jaroslav@84	981	// return sun.misc.FpUtils.ulp(f);
jaroslav@84	982	// }
jaroslav@67	983
jaroslav@67	984	/**
jaroslav@67	985	* Returns the signum function of the argument; zero if the argument
jaroslav@67	986	* is zero, 1.0 if the argument is greater than zero, -1.0 if the
jaroslav@67	987	* argument is less than zero.
jaroslav@67	988	*
jaroslav@67	989	* <p>Special Cases:
jaroslav@67	990	* <ul>
jaroslav@67	991	* <li> If the argument is NaN, then the result is NaN.
jaroslav@67	992	* <li> If the argument is positive zero or negative zero, then the
jaroslav@67	993	* result is the same as the argument.
jaroslav@67	994	* </ul>
jaroslav@67	995	*
jaroslav@67	996	* @param d the floating-point value whose signum is to be returned
jaroslav@67	997	* @return the signum function of the argument
jaroslav@67	998	* @author Joseph D. Darcy
jaroslav@67	999	* @since 1.5
jaroslav@67	1000	*/
jaroslav@84	1001	// public static double signum(double d) {
jaroslav@84	1002	// return sun.misc.FpUtils.signum(d);
jaroslav@84	1003	// }
jaroslav@67	1004
jaroslav@67	1005	/**
jaroslav@67	1006	* Returns the signum function of the argument; zero if the argument
jaroslav@67	1007	* is zero, 1.0f if the argument is greater than zero, -1.0f if the
jaroslav@67	1008	* argument is less than zero.
jaroslav@67	1009	*
jaroslav@67	1010	* <p>Special Cases:
jaroslav@67	1011	* <ul>
jaroslav@67	1012	* <li> If the argument is NaN, then the result is NaN.
jaroslav@67	1013	* <li> If the argument is positive zero or negative zero, then the
jaroslav@67	1014	* result is the same as the argument.
jaroslav@67	1015	* </ul>
jaroslav@67	1016	*
jaroslav@67	1017	* @param f the floating-point value whose signum is to be returned
jaroslav@67	1018	* @return the signum function of the argument
jaroslav@67	1019	* @author Joseph D. Darcy
jaroslav@67	1020	* @since 1.5
jaroslav@67	1021	*/
jaroslav@84	1022	// public static float signum(float f) {
jaroslav@84	1023	// return sun.misc.FpUtils.signum(f);
jaroslav@84	1024	// }
jaroslav@67	1025
jaroslav@67	1026	/**
jaroslav@67	1027	* Returns the hyperbolic sine of a {@code double} value.
jaroslav@67	1028	* The hyperbolic sine of <i>x</i> is defined to be
jaroslav@67	1029	* (<i>e<sup>x</sup> - e<sup>-x</sup></i>)/2
jaroslav@67	1030	* where <i>e</i> is {@linkplain Math#E Euler's number}.
jaroslav@67	1031	*
jaroslav@67	1032	* <p>Special cases:
jaroslav@67	1033	* <ul>
jaroslav@67	1034	*
jaroslav@67	1035	* <li>If the argument is NaN, then the result is NaN.
jaroslav@67	1036	*
jaroslav@67	1037	* <li>If the argument is infinite, then the result is an infinity
jaroslav@67	1038	* with the same sign as the argument.
jaroslav@67	1039	*
jaroslav@67	1040	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	1041	* same sign as the argument.
jaroslav@67	1042	*
jaroslav@67	1043	* </ul>
jaroslav@67	1044	*
jaroslav@67	1045	* <p>The computed result must be within 2.5 ulps of the exact result.
jaroslav@67	1046	*
jaroslav@67	1047	* @param x The number whose hyperbolic sine is to be returned.
jaroslav@67	1048	* @return The hyperbolic sine of {@code x}.
jaroslav@67	1049	* @since 1.5
jaroslav@67	1050	*/
jaroslav@67	1051	public static double sinh(double x) {
jaroslav@67	1052	return StrictMath.sinh(x);
jaroslav@67	1053	}
jaroslav@67	1054
jaroslav@67	1055	/**
jaroslav@67	1056	* Returns the hyperbolic cosine of a {@code double} value.
jaroslav@67	1057	* The hyperbolic cosine of <i>x</i> is defined to be
jaroslav@67	1058	* (<i>e<sup>x</sup> + e<sup>-x</sup></i>)/2
jaroslav@67	1059	* where <i>e</i> is {@linkplain Math#E Euler's number}.
jaroslav@67	1060	*
jaroslav@67	1061	* <p>Special cases:
jaroslav@67	1062	* <ul>
jaroslav@67	1063	*
jaroslav@67	1064	* <li>If the argument is NaN, then the result is NaN.
jaroslav@67	1065	*
jaroslav@67	1066	* <li>If the argument is infinite, then the result is positive
jaroslav@67	1067	* infinity.
jaroslav@67	1068	*
jaroslav@67	1069	* <li>If the argument is zero, then the result is {@code 1.0}.
jaroslav@67	1070	*
jaroslav@67	1071	* </ul>
jaroslav@67	1072	*
jaroslav@67	1073	* <p>The computed result must be within 2.5 ulps of the exact result.
jaroslav@67	1074	*
jaroslav@67	1075	* @param x The number whose hyperbolic cosine is to be returned.
jaroslav@67	1076	* @return The hyperbolic cosine of {@code x}.
jaroslav@67	1077	* @since 1.5
jaroslav@67	1078	*/
jaroslav@67	1079	public static double cosh(double x) {
jaroslav@67	1080	return StrictMath.cosh(x);
jaroslav@67	1081	}
jaroslav@67	1082
jaroslav@67	1083	/**
jaroslav@67	1084	* Returns the hyperbolic tangent of a {@code double} value.
jaroslav@67	1085	* The hyperbolic tangent of <i>x</i> is defined to be
jaroslav@67	1086	* (<i>e<sup>x</sup> - e<sup>-x</sup></i>)/(<i>e<sup>x</sup> + e<sup>-x</sup></i>),
jaroslav@67	1087	* in other words, {@linkplain Math#sinh
jaroslav@67	1088	* sinh(<i>x</i>)}/{@linkplain Math#cosh cosh(<i>x</i>)}. Note
jaroslav@67	1089	* that the absolute value of the exact tanh is always less than
jaroslav@67	1090	* 1.
jaroslav@67	1091	*
jaroslav@67	1092	* <p>Special cases:
jaroslav@67	1093	* <ul>
jaroslav@67	1094	*
jaroslav@67	1095	* <li>If the argument is NaN, then the result is NaN.
jaroslav@67	1096	*
jaroslav@67	1097	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	1098	* same sign as the argument.
jaroslav@67	1099	*
jaroslav@67	1100	* <li>If the argument is positive infinity, then the result is
jaroslav@67	1101	* {@code +1.0}.
jaroslav@67	1102	*
jaroslav@67	1103	* <li>If the argument is negative infinity, then the result is
jaroslav@67	1104	* {@code -1.0}.
jaroslav@67	1105	*
jaroslav@67	1106	* </ul>
jaroslav@67	1107	*
jaroslav@67	1108	* <p>The computed result must be within 2.5 ulps of the exact result.
jaroslav@67	1109	* The result of {@code tanh} for any finite input must have
jaroslav@67	1110	* an absolute value less than or equal to 1. Note that once the
jaroslav@67	1111	* exact result of tanh is within 1/2 of an ulp of the limit value
jaroslav@67	1112	* of ±1, correctly signed ±{@code 1.0} should
jaroslav@67	1113	* be returned.
jaroslav@67	1114	*
jaroslav@67	1115	* @param x The number whose hyperbolic tangent is to be returned.
jaroslav@67	1116	* @return The hyperbolic tangent of {@code x}.
jaroslav@67	1117	* @since 1.5
jaroslav@67	1118	*/
jaroslav@67	1119	public static double tanh(double x) {
jaroslav@67	1120	return StrictMath.tanh(x);
jaroslav@67	1121	}
jaroslav@67	1122
jaroslav@67	1123	/**
jaroslav@67	1124	* Returns sqrt(<i>x</i><sup>2</sup> +<i>y</i><sup>2</sup>)
jaroslav@67	1125	* without intermediate overflow or underflow.
jaroslav@67	1126	*
jaroslav@67	1127	* <p>Special cases:
jaroslav@67	1128	* <ul>
jaroslav@67	1129	*
jaroslav@67	1130	* <li> If either argument is infinite, then the result
jaroslav@67	1131	* is positive infinity.
jaroslav@67	1132	*
jaroslav@67	1133	* <li> If either argument is NaN and neither argument is infinite,
jaroslav@67	1134	* then the result is NaN.
jaroslav@67	1135	*
jaroslav@67	1136	* </ul>
jaroslav@67	1137	*
jaroslav@67	1138	* <p>The computed result must be within 1 ulp of the exact
jaroslav@67	1139	* result. If one parameter is held constant, the results must be
jaroslav@67	1140	* semi-monotonic in the other parameter.
jaroslav@67	1141	*
jaroslav@67	1142	* @param x a value
jaroslav@67	1143	* @param y a value
jaroslav@67	1144	* @return sqrt(<i>x</i><sup>2</sup> +<i>y</i><sup>2</sup>)
jaroslav@67	1145	* without intermediate overflow or underflow
jaroslav@67	1146	* @since 1.5
jaroslav@67	1147	*/
jaroslav@67	1148	public static double hypot(double x, double y) {
jaroslav@67	1149	return StrictMath.hypot(x, y);
jaroslav@67	1150	}
jaroslav@67	1151
jaroslav@67	1152	/**
jaroslav@67	1153	* Returns <i>e</i><sup>x</sup> -1. Note that for values of
jaroslav@67	1154	* <i>x</i> near 0, the exact sum of
jaroslav@67	1155	* {@code expm1(x)} + 1 is much closer to the true
jaroslav@67	1156	* result of <i>e</i><sup>x</sup> than {@code exp(x)}.
jaroslav@67	1157	*
jaroslav@67	1158	* <p>Special cases:
jaroslav@67	1159	* <ul>
jaroslav@67	1160	* <li>If the argument is NaN, the result is NaN.
jaroslav@67	1161	*
jaroslav@67	1162	* <li>If the argument is positive infinity, then the result is
jaroslav@67	1163	* positive infinity.
jaroslav@67	1164	*
jaroslav@67	1165	* <li>If the argument is negative infinity, then the result is
jaroslav@67	1166	* -1.0.
jaroslav@67	1167	*
jaroslav@67	1168	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	1169	* same sign as the argument.
jaroslav@67	1170	*
jaroslav@67	1171	* </ul>
jaroslav@67	1172	*
jaroslav@67	1173	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	1174	* Results must be semi-monotonic. The result of
jaroslav@67	1175	* {@code expm1} for any finite input must be greater than or
jaroslav@67	1176	* equal to {@code -1.0}. Note that once the exact result of
jaroslav@67	1177	* <i>e</i><sup>{@code x}</sup> - 1 is within 1/2
jaroslav@67	1178	* ulp of the limit value -1, {@code -1.0} should be
jaroslav@67	1179	* returned.
jaroslav@67	1180	*
jaroslav@67	1181	* @param x the exponent to raise <i>e</i> to in the computation of
jaroslav@67	1182	* <i>e</i><sup>{@code x}</sup> -1.
jaroslav@67	1183	* @return the value <i>e</i><sup>{@code x}</sup> - 1.
jaroslav@67	1184	* @since 1.5
jaroslav@67	1185	*/
jaroslav@67	1186	public static double expm1(double x) {
jaroslav@67	1187	return StrictMath.expm1(x);
jaroslav@67	1188	}
jaroslav@67	1189
jaroslav@67	1190	/**
jaroslav@67	1191	* Returns the natural logarithm of the sum of the argument and 1.
jaroslav@67	1192	* Note that for small values {@code x}, the result of
jaroslav@67	1193	* {@code log1p(x)} is much closer to the true result of ln(1
jaroslav@67	1194	* + {@code x}) than the floating-point evaluation of
jaroslav@67	1195	* {@code log(1.0+x)}.
jaroslav@67	1196	*
jaroslav@67	1197	* <p>Special cases:
jaroslav@67	1198	*
jaroslav@67	1199	* <ul>
jaroslav@67	1200	*
jaroslav@67	1201	* <li>If the argument is NaN or less than -1, then the result is
jaroslav@67	1202	* NaN.
jaroslav@67	1203	*
jaroslav@67	1204	* <li>If the argument is positive infinity, then the result is
jaroslav@67	1205	* positive infinity.
jaroslav@67	1206	*
jaroslav@67	1207	* <li>If the argument is negative one, then the result is
jaroslav@67	1208	* negative infinity.
jaroslav@67	1209	*
jaroslav@67	1210	* <li>If the argument is zero, then the result is a zero with the
jaroslav@67	1211	* same sign as the argument.
jaroslav@67	1212	*
jaroslav@67	1213	* </ul>
jaroslav@67	1214	*
jaroslav@67	1215	* <p>The computed result must be within 1 ulp of the exact result.
jaroslav@67	1216	* Results must be semi-monotonic.
jaroslav@67	1217	*
jaroslav@67	1218	* @param x a value
jaroslav@67	1219	* @return the value ln({@code x} + 1), the natural
jaroslav@67	1220	* log of {@code x} + 1
jaroslav@67	1221	* @since 1.5
jaroslav@67	1222	*/
jaroslav@67	1223	public static double log1p(double x) {
jaroslav@67	1224	return StrictMath.log1p(x);
jaroslav@67	1225	}
jaroslav@67	1226
jaroslav@67	1227	/**
jaroslav@67	1228	* Returns the first floating-point argument with the sign of the
jaroslav@67	1229	* second floating-point argument. Note that unlike the {@link
jaroslav@67	1230	* StrictMath#copySign(double, double) StrictMath.copySign}
jaroslav@67	1231	* method, this method does not require NaN {@code sign}
jaroslav@67	1232	* arguments to be treated as positive values; implementations are
jaroslav@67	1233	* permitted to treat some NaN arguments as positive and other NaN
jaroslav@67	1234	* arguments as negative to allow greater performance.
jaroslav@67	1235	*
jaroslav@67	1236	* @param magnitude the parameter providing the magnitude of the result
jaroslav@67	1237	* @param sign the parameter providing the sign of the result
jaroslav@67	1238	* @return a value with the magnitude of {@code magnitude}
jaroslav@67	1239	* and the sign of {@code sign}.
jaroslav@67	1240	* @since 1.6
jaroslav@67	1241	*/
jaroslav@84	1242	// public static double copySign(double magnitude, double sign) {
jaroslav@84	1243	// return sun.misc.FpUtils.rawCopySign(magnitude, sign);
jaroslav@84	1244	// }
jaroslav@67	1245
jaroslav@67	1246	/**
jaroslav@67	1247	* Returns the first floating-point argument with the sign of the
jaroslav@67	1248	* second floating-point argument. Note that unlike the {@link
jaroslav@67	1249	* StrictMath#copySign(float, float) StrictMath.copySign}
jaroslav@67	1250	* method, this method does not require NaN {@code sign}
jaroslav@67	1251	* arguments to be treated as positive values; implementations are
jaroslav@67	1252	* permitted to treat some NaN arguments as positive and other NaN
jaroslav@67	1253	* arguments as negative to allow greater performance.
jaroslav@67	1254	*
jaroslav@67	1255	* @param magnitude the parameter providing the magnitude of the result
jaroslav@67	1256	* @param sign the parameter providing the sign of the result
jaroslav@67	1257	* @return a value with the magnitude of {@code magnitude}
jaroslav@67	1258	* and the sign of {@code sign}.
jaroslav@67	1259	* @since 1.6
jaroslav@67	1260	*/
jaroslav@84	1261	// public static float copySign(float magnitude, float sign) {
jaroslav@84	1262	// return sun.misc.FpUtils.rawCopySign(magnitude, sign);
jaroslav@84	1263	// }
jaroslav@67	1264
jaroslav@67	1265	/**
jaroslav@67	1266	* Returns the unbiased exponent used in the representation of a
jaroslav@67	1267	* {@code float}. Special cases:
jaroslav@67	1268	*
jaroslav@67	1269	* <ul>
jaroslav@67	1270	* <li>If the argument is NaN or infinite, then the result is
jaroslav@67	1271	* {@link Float#MAX_EXPONENT} + 1.
jaroslav@67	1272	* <li>If the argument is zero or subnormal, then the result is
jaroslav@67	1273	* {@link Float#MIN_EXPONENT} -1.
jaroslav@67	1274	* </ul>
jaroslav@67	1275	* @param f a {@code float} value
jaroslav@67	1276	* @return the unbiased exponent of the argument
jaroslav@67	1277	* @since 1.6
jaroslav@67	1278	*/
jaroslav@84	1279	// public static int getExponent(float f) {
jaroslav@84	1280	// return sun.misc.FpUtils.getExponent(f);
jaroslav@84	1281	// }
jaroslav@67	1282
jaroslav@67	1283	/**
jaroslav@67	1284	* Returns the unbiased exponent used in the representation of a
jaroslav@67	1285	* {@code double}. Special cases:
jaroslav@67	1286	*
jaroslav@67	1287	* <ul>
jaroslav@67	1288	* <li>If the argument is NaN or infinite, then the result is
jaroslav@67	1289	* {@link Double#MAX_EXPONENT} + 1.
jaroslav@67	1290	* <li>If the argument is zero or subnormal, then the result is
jaroslav@67	1291	* {@link Double#MIN_EXPONENT} -1.
jaroslav@67	1292	* </ul>
jaroslav@67	1293	* @param d a {@code double} value
jaroslav@67	1294	* @return the unbiased exponent of the argument
jaroslav@67	1295	* @since 1.6
jaroslav@67	1296	*/
jaroslav@84	1297	// public static int getExponent(double d) {
jaroslav@84	1298	// return sun.misc.FpUtils.getExponent(d);
jaroslav@84	1299	// }
jaroslav@67	1300
jaroslav@67	1301	/**
jaroslav@67	1302	* Returns the floating-point number adjacent to the first
jaroslav@67	1303	* argument in the direction of the second argument. If both
jaroslav@67	1304	* arguments compare as equal the second argument is returned.
jaroslav@67	1305	*
jaroslav@67	1306	* <p>
jaroslav@67	1307	* Special cases:
jaroslav@67	1308	* <ul>
jaroslav@67	1309	* <li> If either argument is a NaN, then NaN is returned.
jaroslav@67	1310	*
jaroslav@67	1311	* <li> If both arguments are signed zeros, {@code direction}
jaroslav@67	1312	* is returned unchanged (as implied by the requirement of
jaroslav@67	1313	* returning the second argument if the arguments compare as
jaroslav@67	1314	* equal).
jaroslav@67	1315	*
jaroslav@67	1316	* <li> If {@code start} is
jaroslav@67	1317	* ±{@link Double#MIN_VALUE} and {@code direction}
jaroslav@67	1318	* has a value such that the result should have a smaller
jaroslav@67	1319	* magnitude, then a zero with the same sign as {@code start}
jaroslav@67	1320	* is returned.
jaroslav@67	1321	*
jaroslav@67	1322	* <li> If {@code start} is infinite and
jaroslav@67	1323	* {@code direction} has a value such that the result should
jaroslav@67	1324	* have a smaller magnitude, {@link Double#MAX_VALUE} with the
jaroslav@67	1325	* same sign as {@code start} is returned.
jaroslav@67	1326	*
jaroslav@67	1327	* <li> If {@code start} is equal to ±
jaroslav@67	1328	* {@link Double#MAX_VALUE} and {@code direction} has a
jaroslav@67	1329	* value such that the result should have a larger magnitude, an
jaroslav@67	1330	* infinity with same sign as {@code start} is returned.
jaroslav@67	1331	* </ul>
jaroslav@67	1332	*
jaroslav@67	1333	* @param start starting floating-point value
jaroslav@67	1334	* @param direction value indicating which of
jaroslav@67	1335	* {@code start}'s neighbors or {@code start} should
jaroslav@67	1336	* be returned
jaroslav@67	1337	* @return The floating-point number adjacent to {@code start} in the
jaroslav@67	1338	* direction of {@code direction}.
jaroslav@67	1339	* @since 1.6
jaroslav@67	1340	*/
jaroslav@84	1341	// public static double nextAfter(double start, double direction) {
jaroslav@84	1342	// return sun.misc.FpUtils.nextAfter(start, direction);
jaroslav@84	1343	// }
jaroslav@67	1344
jaroslav@67	1345	/**
jaroslav@67	1346	* Returns the floating-point number adjacent to the first
jaroslav@67	1347	* argument in the direction of the second argument. If both
jaroslav@67	1348	* arguments compare as equal a value equivalent to the second argument
jaroslav@67	1349	* is returned.
jaroslav@67	1350	*
jaroslav@67	1351	* <p>
jaroslav@67	1352	* Special cases:
jaroslav@67	1353	* <ul>
jaroslav@67	1354	* <li> If either argument is a NaN, then NaN is returned.
jaroslav@67	1355	*
jaroslav@67	1356	* <li> If both arguments are signed zeros, a value equivalent
jaroslav@67	1357	* to {@code direction} is returned.
jaroslav@67	1358	*
jaroslav@67	1359	* <li> If {@code start} is
jaroslav@67	1360	* ±{@link Float#MIN_VALUE} and {@code direction}
jaroslav@67	1361	* has a value such that the result should have a smaller
jaroslav@67	1362	* magnitude, then a zero with the same sign as {@code start}
jaroslav@67	1363	* is returned.
jaroslav@67	1364	*
jaroslav@67	1365	* <li> If {@code start} is infinite and
jaroslav@67	1366	* {@code direction} has a value such that the result should
jaroslav@67	1367	* have a smaller magnitude, {@link Float#MAX_VALUE} with the
jaroslav@67	1368	* same sign as {@code start} is returned.
jaroslav@67	1369	*
jaroslav@67	1370	* <li> If {@code start} is equal to ±
jaroslav@67	1371	* {@link Float#MAX_VALUE} and {@code direction} has a
jaroslav@67	1372	* value such that the result should have a larger magnitude, an
jaroslav@67	1373	* infinity with same sign as {@code start} is returned.
jaroslav@67	1374	* </ul>
jaroslav@67	1375	*
jaroslav@67	1376	* @param start starting floating-point value
jaroslav@67	1377	* @param direction value indicating which of
jaroslav@67	1378	* {@code start}'s neighbors or {@code start} should
jaroslav@67	1379	* be returned
jaroslav@67	1380	* @return The floating-point number adjacent to {@code start} in the
jaroslav@67	1381	* direction of {@code direction}.
jaroslav@67	1382	* @since 1.6
jaroslav@67	1383	*/
jaroslav@84	1384	// public static float nextAfter(float start, double direction) {
jaroslav@84	1385	// return sun.misc.FpUtils.nextAfter(start, direction);
jaroslav@84	1386	// }
jaroslav@67	1387
jaroslav@67	1388	/**
jaroslav@67	1389	* Returns the floating-point value adjacent to {@code d} in
jaroslav@67	1390	* the direction of positive infinity. This method is
jaroslav@67	1391	* semantically equivalent to {@code nextAfter(d,
jaroslav@67	1392	* Double.POSITIVE_INFINITY)}; however, a {@code nextUp}
jaroslav@67	1393	* implementation may run faster than its equivalent
jaroslav@67	1394	* {@code nextAfter} call.
jaroslav@67	1395	*
jaroslav@67	1396	* <p>Special Cases:
jaroslav@67	1397	* <ul>
jaroslav@67	1398	* <li> If the argument is NaN, the result is NaN.
jaroslav@67	1399	*
jaroslav@67	1400	* <li> If the argument is positive infinity, the result is
jaroslav@67	1401	* positive infinity.
jaroslav@67	1402	*
jaroslav@67	1403	* <li> If the argument is zero, the result is
jaroslav@67	1404	* {@link Double#MIN_VALUE}
jaroslav@67	1405	*
jaroslav@67	1406	* </ul>
jaroslav@67	1407	*
jaroslav@67	1408	* @param d starting floating-point value
jaroslav@67	1409	* @return The adjacent floating-point value closer to positive
jaroslav@67	1410	* infinity.
jaroslav@67	1411	* @since 1.6
jaroslav@67	1412	*/
jaroslav@84	1413	// public static double nextUp(double d) {
jaroslav@84	1414	// return sun.misc.FpUtils.nextUp(d);
jaroslav@84	1415	// }
jaroslav@67	1416
jaroslav@67	1417	/**
jaroslav@67	1418	* Returns the floating-point value adjacent to {@code f} in
jaroslav@67	1419	* the direction of positive infinity. This method is
jaroslav@67	1420	* semantically equivalent to {@code nextAfter(f,
jaroslav@67	1421	* Float.POSITIVE_INFINITY)}; however, a {@code nextUp}
jaroslav@67	1422	* implementation may run faster than its equivalent
jaroslav@67	1423	* {@code nextAfter} call.
jaroslav@67	1424	*
jaroslav@67	1425	* <p>Special Cases:
jaroslav@67	1426	* <ul>
jaroslav@67	1427	* <li> If the argument is NaN, the result is NaN.
jaroslav@67	1428	*
jaroslav@67	1429	* <li> If the argument is positive infinity, the result is
jaroslav@67	1430	* positive infinity.
jaroslav@67	1431	*
jaroslav@67	1432	* <li> If the argument is zero, the result is
jaroslav@67	1433	* {@link Float#MIN_VALUE}
jaroslav@67	1434	*
jaroslav@67	1435	* </ul>
jaroslav@67	1436	*
jaroslav@67	1437	* @param f starting floating-point value
jaroslav@67	1438	* @return The adjacent floating-point value closer to positive
jaroslav@67	1439	* infinity.
jaroslav@67	1440	* @since 1.6
jaroslav@67	1441	*/
jaroslav@84	1442	// public static float nextUp(float f) {
jaroslav@84	1443	// return sun.misc.FpUtils.nextUp(f);
jaroslav@84	1444	// }
jaroslav@67	1445
jaroslav@67	1446
jaroslav@67	1447	/**
jaroslav@67	1448	* Return {@code d} ×
jaroslav@67	1449	* 2<sup>{@code scaleFactor}</sup> rounded as if performed
jaroslav@67	1450	* by a single correctly rounded floating-point multiply to a
jaroslav@67	1451	* member of the double value set. See the Java
jaroslav@67	1452	* Language Specification for a discussion of floating-point
jaroslav@67	1453	* value sets. If the exponent of the result is between {@link
jaroslav@67	1454	* Double#MIN_EXPONENT} and {@link Double#MAX_EXPONENT}, the
jaroslav@67	1455	* answer is calculated exactly. If the exponent of the result
jaroslav@67	1456	* would be larger than {@code Double.MAX_EXPONENT}, an
jaroslav@67	1457	* infinity is returned. Note that if the result is subnormal,
jaroslav@67	1458	* precision may be lost; that is, when {@code scalb(x, n)}
jaroslav@67	1459	* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
jaroslav@67	1460	* <i>x</i>. When the result is non-NaN, the result has the same
jaroslav@67	1461	* sign as {@code d}.
jaroslav@67	1462	*
jaroslav@67	1463	* <p>Special cases:
jaroslav@67	1464	* <ul>
jaroslav@67	1465	* <li> If the first argument is NaN, NaN is returned.
jaroslav@67	1466	* <li> If the first argument is infinite, then an infinity of the
jaroslav@67	1467	* same sign is returned.
jaroslav@67	1468	* <li> If the first argument is zero, then a zero of the same
jaroslav@67	1469	* sign is returned.
jaroslav@67	1470	* </ul>
jaroslav@67	1471	*
jaroslav@67	1472	* @param d number to be scaled by a power of two.
jaroslav@67	1473	* @param scaleFactor power of 2 used to scale {@code d}
jaroslav@67	1474	* @return {@code d} × 2<sup>{@code scaleFactor}</sup>
jaroslav@67	1475	* @since 1.6
jaroslav@67	1476	*/
jaroslav@84	1477	// public static double scalb(double d, int scaleFactor) {
jaroslav@84	1478	// return sun.misc.FpUtils.scalb(d, scaleFactor);
jaroslav@84	1479	// }
jaroslav@67	1480
jaroslav@67	1481	/**
jaroslav@67	1482	* Return {@code f} ×
jaroslav@67	1483	* 2<sup>{@code scaleFactor}</sup> rounded as if performed
jaroslav@67	1484	* by a single correctly rounded floating-point multiply to a
jaroslav@67	1485	* member of the float value set. See the Java
jaroslav@67	1486	* Language Specification for a discussion of floating-point
jaroslav@67	1487	* value sets. If the exponent of the result is between {@link
jaroslav@67	1488	* Float#MIN_EXPONENT} and {@link Float#MAX_EXPONENT}, the
jaroslav@67	1489	* answer is calculated exactly. If the exponent of the result
jaroslav@67	1490	* would be larger than {@code Float.MAX_EXPONENT}, an
jaroslav@67	1491	* infinity is returned. Note that if the result is subnormal,
jaroslav@67	1492	* precision may be lost; that is, when {@code scalb(x, n)}
jaroslav@67	1493	* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
jaroslav@67	1494	* <i>x</i>. When the result is non-NaN, the result has the same
jaroslav@67	1495	* sign as {@code f}.
jaroslav@67	1496	*
jaroslav@67	1497	* <p>Special cases:
jaroslav@67	1498	* <ul>
jaroslav@67	1499	* <li> If the first argument is NaN, NaN is returned.
jaroslav@67	1500	* <li> If the first argument is infinite, then an infinity of the
jaroslav@67	1501	* same sign is returned.
jaroslav@67	1502	* <li> If the first argument is zero, then a zero of the same
jaroslav@67	1503	* sign is returned.
jaroslav@67	1504	* </ul>
jaroslav@67	1505	*
jaroslav@67	1506	* @param f number to be scaled by a power of two.
jaroslav@67	1507	* @param scaleFactor power of 2 used to scale {@code f}
jaroslav@67	1508	* @return {@code f} × 2<sup>{@code scaleFactor}</sup>
jaroslav@67	1509	* @since 1.6
jaroslav@67	1510	*/
jaroslav@84	1511	// public static float scalb(float f, int scaleFactor) {
jaroslav@84	1512	// return sun.misc.FpUtils.scalb(f, scaleFactor);
jaroslav@84	1513	// }
jaroslav@67	1514	}

author	Jaroslav Tulach <jaroslav.tulach@apidesign.org>
	Tue, 16 Oct 2012 11:55:56 +0200
changeset 104	1376481f15e7
parent 84	d65b3a2fbfaf
child 132	2377bb30dd1b
permissions	-rw-r--r--