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28 import sun.misc.FloatingDecimal;
29 import sun.misc.FpUtils;
30 import sun.misc.DoubleConsts;
33 * The {@code Double} class wraps a value of the primitive type
34 * {@code double} in an object. An object of type
35 * {@code Double} contains a single field whose type is
38 * <p>In addition, this class provides several methods for converting a
39 * {@code double} to a {@code String} and a
40 * {@code String} to a {@code double}, as well as other
41 * constants and methods useful when dealing with a
45 * @author Arthur van Hoff
46 * @author Joseph D. Darcy
49 public final class Double extends Number implements Comparable<Double> {
51 * A constant holding the positive infinity of type
52 * {@code double}. It is equal to the value returned by
53 * {@code Double.longBitsToDouble(0x7ff0000000000000L)}.
55 public static final double POSITIVE_INFINITY = 1.0 / 0.0;
58 * A constant holding the negative infinity of type
59 * {@code double}. It is equal to the value returned by
60 * {@code Double.longBitsToDouble(0xfff0000000000000L)}.
62 public static final double NEGATIVE_INFINITY = -1.0 / 0.0;
65 * A constant holding a Not-a-Number (NaN) value of type
66 * {@code double}. It is equivalent to the value returned by
67 * {@code Double.longBitsToDouble(0x7ff8000000000000L)}.
69 public static final double NaN = 0.0d / 0.0;
72 * A constant holding the largest positive finite value of type
74 * (2-2<sup>-52</sup>)·2<sup>1023</sup>. It is equal to
75 * the hexadecimal floating-point literal
76 * {@code 0x1.fffffffffffffP+1023} and also equal to
77 * {@code Double.longBitsToDouble(0x7fefffffffffffffL)}.
79 public static final double MAX_VALUE = 0x1.fffffffffffffP+1023; // 1.7976931348623157e+308
82 * A constant holding the smallest positive normal value of type
83 * {@code double}, 2<sup>-1022</sup>. It is equal to the
84 * hexadecimal floating-point literal {@code 0x1.0p-1022} and also
85 * equal to {@code Double.longBitsToDouble(0x0010000000000000L)}.
89 public static final double MIN_NORMAL = 0x1.0p-1022; // 2.2250738585072014E-308
92 * A constant holding the smallest positive nonzero value of type
93 * {@code double}, 2<sup>-1074</sup>. It is equal to the
94 * hexadecimal floating-point literal
95 * {@code 0x0.0000000000001P-1022} and also equal to
96 * {@code Double.longBitsToDouble(0x1L)}.
98 public static final double MIN_VALUE = 0x0.0000000000001P-1022; // 4.9e-324
101 * Maximum exponent a finite {@code double} variable may have.
102 * It is equal to the value returned by
103 * {@code Math.getExponent(Double.MAX_VALUE)}.
107 public static final int MAX_EXPONENT = 1023;
110 * Minimum exponent a normalized {@code double} variable may
111 * have. It is equal to the value returned by
112 * {@code Math.getExponent(Double.MIN_NORMAL)}.
116 public static final int MIN_EXPONENT = -1022;
119 * The number of bits used to represent a {@code double} value.
123 public static final int SIZE = 64;
126 * The {@code Class} instance representing the primitive type
131 public static final Class<Double> TYPE = (Class<Double>) Class.getPrimitiveClass("double");
134 * Returns a string representation of the {@code double}
135 * argument. All characters mentioned below are ASCII characters.
137 * <li>If the argument is NaN, the result is the string
139 * <li>Otherwise, the result is a string that represents the sign and
140 * magnitude (absolute value) of the argument. If the sign is negative,
141 * the first character of the result is '{@code -}'
142 * (<code>'\u002D'</code>); if the sign is positive, no sign character
143 * appears in the result. As for the magnitude <i>m</i>:
145 * <li>If <i>m</i> is infinity, it is represented by the characters
146 * {@code "Infinity"}; thus, positive infinity produces the result
147 * {@code "Infinity"} and negative infinity produces the result
148 * {@code "-Infinity"}.
150 * <li>If <i>m</i> is zero, it is represented by the characters
151 * {@code "0.0"}; thus, negative zero produces the result
152 * {@code "-0.0"} and positive zero produces the result
155 * <li>If <i>m</i> is greater than or equal to 10<sup>-3</sup> but less
156 * than 10<sup>7</sup>, then it is represented as the integer part of
157 * <i>m</i>, in decimal form with no leading zeroes, followed by
158 * '{@code .}' (<code>'\u002E'</code>), followed by one or
159 * more decimal digits representing the fractional part of <i>m</i>.
161 * <li>If <i>m</i> is less than 10<sup>-3</sup> or greater than or
162 * equal to 10<sup>7</sup>, then it is represented in so-called
163 * "computerized scientific notation." Let <i>n</i> be the unique
164 * integer such that 10<sup><i>n</i></sup> ≤ <i>m</i> {@literal <}
165 * 10<sup><i>n</i>+1</sup>; then let <i>a</i> be the
166 * mathematically exact quotient of <i>m</i> and
167 * 10<sup><i>n</i></sup> so that 1 ≤ <i>a</i> {@literal <} 10. The
168 * magnitude is then represented as the integer part of <i>a</i>,
169 * as a single decimal digit, followed by '{@code .}'
170 * (<code>'\u002E'</code>), followed by decimal digits
171 * representing the fractional part of <i>a</i>, followed by the
172 * letter '{@code E}' (<code>'\u0045'</code>), followed
173 * by a representation of <i>n</i> as a decimal integer, as
174 * produced by the method {@link Integer#toString(int)}.
177 * How many digits must be printed for the fractional part of
178 * <i>m</i> or <i>a</i>? There must be at least one digit to represent
179 * the fractional part, and beyond that as many, but only as many, more
180 * digits as are needed to uniquely distinguish the argument value from
181 * adjacent values of type {@code double}. That is, suppose that
182 * <i>x</i> is the exact mathematical value represented by the decimal
183 * representation produced by this method for a finite nonzero argument
184 * <i>d</i>. Then <i>d</i> must be the {@code double} value nearest
185 * to <i>x</i>; or if two {@code double} values are equally close
186 * to <i>x</i>, then <i>d</i> must be one of them and the least
187 * significant bit of the significand of <i>d</i> must be {@code 0}.
189 * <p>To create localized string representations of a floating-point
190 * value, use subclasses of {@link java.text.NumberFormat}.
192 * @param d the {@code double} to be converted.
193 * @return a string representation of the argument.
195 public static String toString(double d) {
196 return new FloatingDecimal(d).toJavaFormatString();
200 * Returns a hexadecimal string representation of the
201 * {@code double} argument. All characters mentioned below
202 * are ASCII characters.
205 * <li>If the argument is NaN, the result is the string
207 * <li>Otherwise, the result is a string that represents the sign
208 * and magnitude of the argument. If the sign is negative, the
209 * first character of the result is '{@code -}'
210 * (<code>'\u002D'</code>); if the sign is positive, no sign
211 * character appears in the result. As for the magnitude <i>m</i>:
214 * <li>If <i>m</i> is infinity, it is represented by the string
215 * {@code "Infinity"}; thus, positive infinity produces the
216 * result {@code "Infinity"} and negative infinity produces
217 * the result {@code "-Infinity"}.
219 * <li>If <i>m</i> is zero, it is represented by the string
220 * {@code "0x0.0p0"}; thus, negative zero produces the result
221 * {@code "-0x0.0p0"} and positive zero produces the result
224 * <li>If <i>m</i> is a {@code double} value with a
225 * normalized representation, substrings are used to represent the
226 * significand and exponent fields. The significand is
227 * represented by the characters {@code "0x1."}
228 * followed by a lowercase hexadecimal representation of the rest
229 * of the significand as a fraction. Trailing zeros in the
230 * hexadecimal representation are removed unless all the digits
231 * are zero, in which case a single zero is used. Next, the
232 * exponent is represented by {@code "p"} followed
233 * by a decimal string of the unbiased exponent as if produced by
234 * a call to {@link Integer#toString(int) Integer.toString} on the
237 * <li>If <i>m</i> is a {@code double} value with a subnormal
238 * representation, the significand is represented by the
239 * characters {@code "0x0."} followed by a
240 * hexadecimal representation of the rest of the significand as a
241 * fraction. Trailing zeros in the hexadecimal representation are
242 * removed. Next, the exponent is represented by
243 * {@code "p-1022"}. Note that there must be at
244 * least one nonzero digit in a subnormal significand.
251 * <caption><h3>Examples</h3></caption>
252 * <tr><th>Floating-point Value</th><th>Hexadecimal String</th>
253 * <tr><td>{@code 1.0}</td> <td>{@code 0x1.0p0}</td>
254 * <tr><td>{@code -1.0}</td> <td>{@code -0x1.0p0}</td>
255 * <tr><td>{@code 2.0}</td> <td>{@code 0x1.0p1}</td>
256 * <tr><td>{@code 3.0}</td> <td>{@code 0x1.8p1}</td>
257 * <tr><td>{@code 0.5}</td> <td>{@code 0x1.0p-1}</td>
258 * <tr><td>{@code 0.25}</td> <td>{@code 0x1.0p-2}</td>
259 * <tr><td>{@code Double.MAX_VALUE}</td>
260 * <td>{@code 0x1.fffffffffffffp1023}</td>
261 * <tr><td>{@code Minimum Normal Value}</td>
262 * <td>{@code 0x1.0p-1022}</td>
263 * <tr><td>{@code Maximum Subnormal Value}</td>
264 * <td>{@code 0x0.fffffffffffffp-1022}</td>
265 * <tr><td>{@code Double.MIN_VALUE}</td>
266 * <td>{@code 0x0.0000000000001p-1022}</td>
268 * @param d the {@code double} to be converted.
269 * @return a hex string representation of the argument.
271 * @author Joseph D. Darcy
273 public static String toHexString(double d) {
275 * Modeled after the "a" conversion specifier in C99, section
276 * 7.19.6.1; however, the output of this method is more
279 if (!FpUtils.isFinite(d) )
280 // For infinity and NaN, use the decimal output.
281 return Double.toString(d);
283 // Initialized to maximum size of output.
284 StringBuffer answer = new StringBuffer(24);
286 if (FpUtils.rawCopySign(1.0, d) == -1.0) // value is negative,
287 answer.append("-"); // so append sign info
294 answer.append("0.0p0");
297 boolean subnormal = (d < DoubleConsts.MIN_NORMAL);
299 // Isolate significand bits and OR in a high-order bit
300 // so that the string representation has a known
302 long signifBits = (Double.doubleToLongBits(d)
303 & DoubleConsts.SIGNIF_BIT_MASK) |
306 // Subnormal values have a 0 implicit bit; normal
307 // values have a 1 implicit bit.
308 answer.append(subnormal ? "0." : "1.");
310 // Isolate the low-order 13 digits of the hex
311 // representation. If all the digits are zero,
312 // replace with a single 0; otherwise, remove all
314 String signif = Long.toHexString(signifBits).substring(3,16);
315 answer.append(signif.equals("0000000000000") ? // 13 zeros
317 signif.replaceFirst("0{1,12}$", ""));
319 // If the value is subnormal, use the E_min exponent
320 // value for double; otherwise, extract and report d's
321 // exponent (the representation of a subnormal uses
323 answer.append("p" + (subnormal ?
324 DoubleConsts.MIN_EXPONENT:
325 FpUtils.getExponent(d) ));
327 return answer.toString();
332 * Returns a {@code Double} object holding the
333 * {@code double} value represented by the argument string
336 * <p>If {@code s} is {@code null}, then a
337 * {@code NullPointerException} is thrown.
339 * <p>Leading and trailing whitespace characters in {@code s}
340 * are ignored. Whitespace is removed as if by the {@link
341 * String#trim} method; that is, both ASCII space and control
342 * characters are removed. The rest of {@code s} should
343 * constitute a <i>FloatValue</i> as described by the lexical
348 * <dt><i>FloatValue:</i>
349 * <dd><i>Sign<sub>opt</sub></i> {@code NaN}
350 * <dd><i>Sign<sub>opt</sub></i> {@code Infinity}
351 * <dd><i>Sign<sub>opt</sub> FloatingPointLiteral</i>
352 * <dd><i>Sign<sub>opt</sub> HexFloatingPointLiteral</i>
353 * <dd><i>SignedInteger</i>
359 * <dt><i>HexFloatingPointLiteral</i>:
360 * <dd> <i>HexSignificand BinaryExponent FloatTypeSuffix<sub>opt</sub></i>
366 * <dt><i>HexSignificand:</i>
367 * <dd><i>HexNumeral</i>
368 * <dd><i>HexNumeral</i> {@code .}
369 * <dd>{@code 0x} <i>HexDigits<sub>opt</sub>
370 * </i>{@code .}<i> HexDigits</i>
371 * <dd>{@code 0X}<i> HexDigits<sub>opt</sub>
372 * </i>{@code .} <i>HexDigits</i>
378 * <dt><i>BinaryExponent:</i>
379 * <dd><i>BinaryExponentIndicator SignedInteger</i>
385 * <dt><i>BinaryExponentIndicator:</i>
392 * where <i>Sign</i>, <i>FloatingPointLiteral</i>,
393 * <i>HexNumeral</i>, <i>HexDigits</i>, <i>SignedInteger</i> and
394 * <i>FloatTypeSuffix</i> are as defined in the lexical structure
396 * <cite>The Java™ Language Specification</cite>,
397 * except that underscores are not accepted between digits.
398 * If {@code s} does not have the form of
399 * a <i>FloatValue</i>, then a {@code NumberFormatException}
400 * is thrown. Otherwise, {@code s} is regarded as
401 * representing an exact decimal value in the usual
402 * "computerized scientific notation" or as an exact
403 * hexadecimal value; this exact numerical value is then
404 * conceptually converted to an "infinitely precise"
405 * binary value that is then rounded to type {@code double}
406 * by the usual round-to-nearest rule of IEEE 754 floating-point
407 * arithmetic, which includes preserving the sign of a zero
410 * Note that the round-to-nearest rule also implies overflow and
411 * underflow behaviour; if the exact value of {@code s} is large
412 * enough in magnitude (greater than or equal to ({@link
413 * #MAX_VALUE} + {@link Math#ulp(double) ulp(MAX_VALUE)}/2),
414 * rounding to {@code double} will result in an infinity and if the
415 * exact value of {@code s} is small enough in magnitude (less
416 * than or equal to {@link #MIN_VALUE}/2), rounding to float will
419 * Finally, after rounding a {@code Double} object representing
420 * this {@code double} value is returned.
422 * <p> To interpret localized string representations of a
423 * floating-point value, use subclasses of {@link
424 * java.text.NumberFormat}.
426 * <p>Note that trailing format specifiers, specifiers that
427 * determine the type of a floating-point literal
428 * ({@code 1.0f} is a {@code float} value;
429 * {@code 1.0d} is a {@code double} value), do
430 * <em>not</em> influence the results of this method. In other
431 * words, the numerical value of the input string is converted
432 * directly to the target floating-point type. The two-step
433 * sequence of conversions, string to {@code float} followed
434 * by {@code float} to {@code double}, is <em>not</em>
435 * equivalent to converting a string directly to
436 * {@code double}. For example, the {@code float}
437 * literal {@code 0.1f} is equal to the {@code double}
438 * value {@code 0.10000000149011612}; the {@code float}
439 * literal {@code 0.1f} represents a different numerical
440 * value than the {@code double} literal
441 * {@code 0.1}. (The numerical value 0.1 cannot be exactly
442 * represented in a binary floating-point number.)
444 * <p>To avoid calling this method on an invalid string and having
445 * a {@code NumberFormatException} be thrown, the regular
446 * expression below can be used to screen the input string:
450 * final String Digits = "(\\p{Digit}+)";
451 * final String HexDigits = "(\\p{XDigit}+)";
452 * // an exponent is 'e' or 'E' followed by an optionally
453 * // signed decimal integer.
454 * final String Exp = "[eE][+-]?"+Digits;
455 * final String fpRegex =
456 * ("[\\x00-\\x20]*"+ // Optional leading "whitespace"
457 * "[+-]?(" + // Optional sign character
458 * "NaN|" + // "NaN" string
459 * "Infinity|" + // "Infinity" string
461 * // A decimal floating-point string representing a finite positive
462 * // number without a leading sign has at most five basic pieces:
463 * // Digits . Digits ExponentPart FloatTypeSuffix
465 * // Since this method allows integer-only strings as input
466 * // in addition to strings of floating-point literals, the
467 * // two sub-patterns below are simplifications of the grammar
468 * // productions from section 3.10.2 of
469 * // <cite>The Java™ Language Specification</cite>.
471 * // Digits ._opt Digits_opt ExponentPart_opt FloatTypeSuffix_opt
472 * "((("+Digits+"(\\.)?("+Digits+"?)("+Exp+")?)|"+
474 * // . Digits ExponentPart_opt FloatTypeSuffix_opt
475 * "(\\.("+Digits+")("+Exp+")?)|"+
477 * // Hexadecimal strings
479 * // 0[xX] HexDigits ._opt BinaryExponent FloatTypeSuffix_opt
480 * "(0[xX]" + HexDigits + "(\\.)?)|" +
482 * // 0[xX] HexDigits_opt . HexDigits BinaryExponent FloatTypeSuffix_opt
483 * "(0[xX]" + HexDigits + "?(\\.)" + HexDigits + ")" +
485 * ")[pP][+-]?" + Digits + "))" +
487 * "[\\x00-\\x20]*");// Optional trailing "whitespace"
489 * if (Pattern.matches(fpRegex, myString))
490 * Double.valueOf(myString); // Will not throw NumberFormatException
492 * // Perform suitable alternative action
497 * @param s the string to be parsed.
498 * @return a {@code Double} object holding the value
499 * represented by the {@code String} argument.
500 * @throws NumberFormatException if the string does not contain a
503 public static Double valueOf(String s) throws NumberFormatException {
504 return new Double(FloatingDecimal.readJavaFormatString(s).doubleValue());
508 * Returns a {@code Double} instance representing the specified
509 * {@code double} value.
510 * If a new {@code Double} instance is not required, this method
511 * should generally be used in preference to the constructor
512 * {@link #Double(double)}, as this method is likely to yield
513 * significantly better space and time performance by caching
514 * frequently requested values.
516 * @param d a double value.
517 * @return a {@code Double} instance representing {@code d}.
520 public static Double valueOf(double d) {
521 return new Double(d);
525 * Returns a new {@code double} initialized to the value
526 * represented by the specified {@code String}, as performed
527 * by the {@code valueOf} method of class
530 * @param s the string to be parsed.
531 * @return the {@code double} value represented by the string
533 * @throws NullPointerException if the string is null
534 * @throws NumberFormatException if the string does not contain
535 * a parsable {@code double}.
536 * @see java.lang.Double#valueOf(String)
539 public static double parseDouble(String s) throws NumberFormatException {
540 return FloatingDecimal.readJavaFormatString(s).doubleValue();
544 * Returns {@code true} if the specified number is a
545 * Not-a-Number (NaN) value, {@code false} otherwise.
547 * @param v the value to be tested.
548 * @return {@code true} if the value of the argument is NaN;
549 * {@code false} otherwise.
551 static public boolean isNaN(double v) {
556 * Returns {@code true} if the specified number is infinitely
557 * large in magnitude, {@code false} otherwise.
559 * @param v the value to be tested.
560 * @return {@code true} if the value of the argument is positive
561 * infinity or negative infinity; {@code false} otherwise.
563 static public boolean isInfinite(double v) {
564 return (v == POSITIVE_INFINITY) || (v == NEGATIVE_INFINITY);
568 * The value of the Double.
572 private final double value;
575 * Constructs a newly allocated {@code Double} object that
576 * represents the primitive {@code double} argument.
578 * @param value the value to be represented by the {@code Double}.
580 public Double(double value) {
585 * Constructs a newly allocated {@code Double} object that
586 * represents the floating-point value of type {@code double}
587 * represented by the string. The string is converted to a
588 * {@code double} value as if by the {@code valueOf} method.
590 * @param s a string to be converted to a {@code Double}.
591 * @throws NumberFormatException if the string does not contain a
593 * @see java.lang.Double#valueOf(java.lang.String)
595 public Double(String s) throws NumberFormatException {
596 // REMIND: this is inefficient
597 this(valueOf(s).doubleValue());
601 * Returns {@code true} if this {@code Double} value is
602 * a Not-a-Number (NaN), {@code false} otherwise.
604 * @return {@code true} if the value represented by this object is
605 * NaN; {@code false} otherwise.
607 public boolean isNaN() {
612 * Returns {@code true} if this {@code Double} value is
613 * infinitely large in magnitude, {@code false} otherwise.
615 * @return {@code true} if the value represented by this object is
616 * positive infinity or negative infinity;
617 * {@code false} otherwise.
619 public boolean isInfinite() {
620 return isInfinite(value);
624 * Returns a string representation of this {@code Double} object.
625 * The primitive {@code double} value represented by this
626 * object is converted to a string exactly as if by the method
627 * {@code toString} of one argument.
629 * @return a {@code String} representation of this object.
630 * @see java.lang.Double#toString(double)
632 public String toString() {
633 return toString(value);
637 * Returns the value of this {@code Double} as a {@code byte} (by
638 * casting to a {@code byte}).
640 * @return the {@code double} value represented by this object
641 * converted to type {@code byte}
644 public byte byteValue() {
649 * Returns the value of this {@code Double} as a
650 * {@code short} (by casting to a {@code short}).
652 * @return the {@code double} value represented by this object
653 * converted to type {@code short}
656 public short shortValue() {
661 * Returns the value of this {@code Double} as an
662 * {@code int} (by casting to type {@code int}).
664 * @return the {@code double} value represented by this object
665 * converted to type {@code int}
667 public int intValue() {
672 * Returns the value of this {@code Double} as a
673 * {@code long} (by casting to type {@code long}).
675 * @return the {@code double} value represented by this object
676 * converted to type {@code long}
678 public long longValue() {
683 * Returns the {@code float} value of this
684 * {@code Double} object.
686 * @return the {@code double} value represented by this object
687 * converted to type {@code float}
690 public float floatValue() {
695 * Returns the {@code double} value of this
696 * {@code Double} object.
698 * @return the {@code double} value represented by this object
700 public double doubleValue() {
701 return (double)value;
705 * Returns a hash code for this {@code Double} object. The
706 * result is the exclusive OR of the two halves of the
707 * {@code long} integer bit representation, exactly as
708 * produced by the method {@link #doubleToLongBits(double)}, of
709 * the primitive {@code double} value represented by this
710 * {@code Double} object. That is, the hash code is the value
714 * {@code (int)(v^(v>>>32))}
717 * where {@code v} is defined by:
720 * {@code long v = Double.doubleToLongBits(this.doubleValue());}
723 * @return a {@code hash code} value for this object.
725 public int hashCode() {
726 long bits = doubleToLongBits(value);
727 return (int)(bits ^ (bits >>> 32));
731 * Compares this object against the specified object. The result
732 * is {@code true} if and only if the argument is not
733 * {@code null} and is a {@code Double} object that
734 * represents a {@code double} that has the same value as the
735 * {@code double} represented by this object. For this
736 * purpose, two {@code double} values are considered to be
737 * the same if and only if the method {@link
738 * #doubleToLongBits(double)} returns the identical
739 * {@code long} value when applied to each.
741 * <p>Note that in most cases, for two instances of class
742 * {@code Double}, {@code d1} and {@code d2}, the
743 * value of {@code d1.equals(d2)} is {@code true} if and
747 * {@code d1.doubleValue() == d2.doubleValue()}
750 * <p>also has the value {@code true}. However, there are two
753 * <li>If {@code d1} and {@code d2} both represent
754 * {@code Double.NaN}, then the {@code equals} method
755 * returns {@code true}, even though
756 * {@code Double.NaN==Double.NaN} has the value
758 * <li>If {@code d1} represents {@code +0.0} while
759 * {@code d2} represents {@code -0.0}, or vice versa,
760 * the {@code equal} test has the value {@code false},
761 * even though {@code +0.0==-0.0} has the value {@code true}.
763 * This definition allows hash tables to operate properly.
764 * @param obj the object to compare with.
765 * @return {@code true} if the objects are the same;
766 * {@code false} otherwise.
767 * @see java.lang.Double#doubleToLongBits(double)
769 public boolean equals(Object obj) {
770 return (obj instanceof Double)
771 && (doubleToLongBits(((Double)obj).value) ==
772 doubleToLongBits(value));
776 * Returns a representation of the specified floating-point value
777 * according to the IEEE 754 floating-point "double
778 * format" bit layout.
780 * <p>Bit 63 (the bit that is selected by the mask
781 * {@code 0x8000000000000000L}) represents the sign of the
782 * floating-point number. Bits
783 * 62-52 (the bits that are selected by the mask
784 * {@code 0x7ff0000000000000L}) represent the exponent. Bits 51-0
785 * (the bits that are selected by the mask
786 * {@code 0x000fffffffffffffL}) represent the significand
787 * (sometimes called the mantissa) of the floating-point number.
789 * <p>If the argument is positive infinity, the result is
790 * {@code 0x7ff0000000000000L}.
792 * <p>If the argument is negative infinity, the result is
793 * {@code 0xfff0000000000000L}.
795 * <p>If the argument is NaN, the result is
796 * {@code 0x7ff8000000000000L}.
798 * <p>In all cases, the result is a {@code long} integer that, when
799 * given to the {@link #longBitsToDouble(long)} method, will produce a
800 * floating-point value the same as the argument to
801 * {@code doubleToLongBits} (except all NaN values are
802 * collapsed to a single "canonical" NaN value).
804 * @param value a {@code double} precision floating-point number.
805 * @return the bits that represent the floating-point number.
807 public static long doubleToLongBits(double value) {
808 long result = doubleToRawLongBits(value);
809 // Check for NaN based on values of bit fields, maximum
810 // exponent and nonzero significand.
811 if ( ((result & DoubleConsts.EXP_BIT_MASK) ==
812 DoubleConsts.EXP_BIT_MASK) &&
813 (result & DoubleConsts.SIGNIF_BIT_MASK) != 0L)
814 result = 0x7ff8000000000000L;
819 * Returns a representation of the specified floating-point value
820 * according to the IEEE 754 floating-point "double
821 * format" bit layout, preserving Not-a-Number (NaN) values.
823 * <p>Bit 63 (the bit that is selected by the mask
824 * {@code 0x8000000000000000L}) represents the sign of the
825 * floating-point number. Bits
826 * 62-52 (the bits that are selected by the mask
827 * {@code 0x7ff0000000000000L}) represent the exponent. Bits 51-0
828 * (the bits that are selected by the mask
829 * {@code 0x000fffffffffffffL}) represent the significand
830 * (sometimes called the mantissa) of the floating-point number.
832 * <p>If the argument is positive infinity, the result is
833 * {@code 0x7ff0000000000000L}.
835 * <p>If the argument is negative infinity, the result is
836 * {@code 0xfff0000000000000L}.
838 * <p>If the argument is NaN, the result is the {@code long}
839 * integer representing the actual NaN value. Unlike the
840 * {@code doubleToLongBits} method,
841 * {@code doubleToRawLongBits} does not collapse all the bit
842 * patterns encoding a NaN to a single "canonical" NaN
845 * <p>In all cases, the result is a {@code long} integer that,
846 * when given to the {@link #longBitsToDouble(long)} method, will
847 * produce a floating-point value the same as the argument to
848 * {@code doubleToRawLongBits}.
850 * @param value a {@code double} precision floating-point number.
851 * @return the bits that represent the floating-point number.
854 public static native long doubleToRawLongBits(double value);
857 * Returns the {@code double} value corresponding to a given
858 * bit representation.
859 * The argument is considered to be a representation of a
860 * floating-point value according to the IEEE 754 floating-point
861 * "double format" bit layout.
863 * <p>If the argument is {@code 0x7ff0000000000000L}, the result
864 * is positive infinity.
866 * <p>If the argument is {@code 0xfff0000000000000L}, the result
867 * is negative infinity.
869 * <p>If the argument is any value in the range
870 * {@code 0x7ff0000000000001L} through
871 * {@code 0x7fffffffffffffffL} or in the range
872 * {@code 0xfff0000000000001L} through
873 * {@code 0xffffffffffffffffL}, the result is a NaN. No IEEE
874 * 754 floating-point operation provided by Java can distinguish
875 * between two NaN values of the same type with different bit
876 * patterns. Distinct values of NaN are only distinguishable by
877 * use of the {@code Double.doubleToRawLongBits} method.
879 * <p>In all other cases, let <i>s</i>, <i>e</i>, and <i>m</i> be three
880 * values that can be computed from the argument:
883 * int s = ((bits >> 63) == 0) ? 1 : -1;
884 * int e = (int)((bits >> 52) & 0x7ffL);
885 * long m = (e == 0) ?
886 * (bits & 0xfffffffffffffL) << 1 :
887 * (bits & 0xfffffffffffffL) | 0x10000000000000L;
888 * </pre></blockquote>
890 * Then the floating-point result equals the value of the mathematical
891 * expression <i>s</i>·<i>m</i>·2<sup><i>e</i>-1075</sup>.
893 * <p>Note that this method may not be able to return a
894 * {@code double} NaN with exactly same bit pattern as the
895 * {@code long} argument. IEEE 754 distinguishes between two
896 * kinds of NaNs, quiet NaNs and <i>signaling NaNs</i>. The
897 * differences between the two kinds of NaN are generally not
898 * visible in Java. Arithmetic operations on signaling NaNs turn
899 * them into quiet NaNs with a different, but often similar, bit
900 * pattern. However, on some processors merely copying a
901 * signaling NaN also performs that conversion. In particular,
902 * copying a signaling NaN to return it to the calling method
903 * may perform this conversion. So {@code longBitsToDouble}
904 * may not be able to return a {@code double} with a
905 * signaling NaN bit pattern. Consequently, for some
906 * {@code long} values,
907 * {@code doubleToRawLongBits(longBitsToDouble(start))} may
908 * <i>not</i> equal {@code start}. Moreover, which
909 * particular bit patterns represent signaling NaNs is platform
910 * dependent; although all NaN bit patterns, quiet or signaling,
911 * must be in the NaN range identified above.
913 * @param bits any {@code long} integer.
914 * @return the {@code double} floating-point value with the same
917 public static native double longBitsToDouble(long bits);
920 * Compares two {@code Double} objects numerically. There
921 * are two ways in which comparisons performed by this method
922 * differ from those performed by the Java language numerical
923 * comparison operators ({@code <, <=, ==, >=, >})
924 * when applied to primitive {@code double} values:
926 * {@code Double.NaN} is considered by this method
927 * to be equal to itself and greater than all other
928 * {@code double} values (including
929 * {@code Double.POSITIVE_INFINITY}).
931 * {@code 0.0d} is considered by this method to be greater
932 * than {@code -0.0d}.
934 * This ensures that the <i>natural ordering</i> of
935 * {@code Double} objects imposed by this method is <i>consistent
938 * @param anotherDouble the {@code Double} to be compared.
939 * @return the value {@code 0} if {@code anotherDouble} is
940 * numerically equal to this {@code Double}; a value
941 * less than {@code 0} if this {@code Double}
942 * is numerically less than {@code anotherDouble};
943 * and a value greater than {@code 0} if this
944 * {@code Double} is numerically greater than
945 * {@code anotherDouble}.
949 public int compareTo(Double anotherDouble) {
950 return Double.compare(value, anotherDouble.value);
954 * Compares the two specified {@code double} values. The sign
955 * of the integer value returned is the same as that of the
956 * integer that would be returned by the call:
958 * new Double(d1).compareTo(new Double(d2))
961 * @param d1 the first {@code double} to compare
962 * @param d2 the second {@code double} to compare
963 * @return the value {@code 0} if {@code d1} is
964 * numerically equal to {@code d2}; a value less than
965 * {@code 0} if {@code d1} is numerically less than
966 * {@code d2}; and a value greater than {@code 0}
967 * if {@code d1} is numerically greater than
971 public static int compare(double d1, double d2) {
973 return -1; // Neither val is NaN, thisVal is smaller
975 return 1; // Neither val is NaN, thisVal is larger
977 // Cannot use doubleToRawLongBits because of possibility of NaNs.
978 long thisBits = Double.doubleToLongBits(d1);
979 long anotherBits = Double.doubleToLongBits(d2);
981 return (thisBits == anotherBits ? 0 : // Values are equal
982 (thisBits < anotherBits ? -1 : // (-0.0, 0.0) or (!NaN, NaN)
983 1)); // (0.0, -0.0) or (NaN, !NaN)
986 /** use serialVersionUID from JDK 1.0.2 for interoperability */
987 private static final long serialVersionUID = -9172774392245257468L;