/* Double.java -- object wrapper for double Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005 Free Software Foundation, Inc. This file is part of GNU Classpath. GNU Classpath is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. GNU Classpath is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with GNU Classpath; see the file COPYING. If not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. Linking this library statically or dynamically with other modules is making a combined work based on this library. Thus, the terms and conditions of the GNU General Public License cover the whole combination. As a special exception, the copyright holders of this library give you permission to link this library with independent modules to produce an executable, regardless of the license terms of these independent modules, and to copy and distribute the resulting executable under terms of your choice, provided that you also meet, for each linked independent module, the terms and conditions of the license of that module. An independent module is a module which is not derived from or based on this library. If you modify this library, you may extend this exception to your version of the library, but you are not obligated to do so. If you do not wish to do so, delete this exception statement from your version. */ package java.lang; import gnu.java.lang.CPStringBuilder; /** * Instances of class Double represent primitive * double values. * * Additionally, this class provides various helper functions and variables * related to doubles. * * @author Paul Fisher * @author Andrew Haley (aph@cygnus.com) * @author Eric Blake (ebb9@email.byu.edu) * @author Tom Tromey (tromey@redhat.com) * @author Andrew John Hughes (gnu_andrew@member.fsf.org) * @since 1.0 * @status partly updated to 1.5 */ public final class Double extends Number implements Comparable { /** * Compatible with JDK 1.0+. */ private static final long serialVersionUID = -9172774392245257468L; /** * The maximum positive value a double may represent * is 1.7976931348623157e+308. */ public static final double MAX_VALUE = 1.7976931348623157e+308; /** * The minimum positive value a double may represent * is 5e-324. */ public static final double MIN_VALUE = 5e-324; /** * The value of a double representation -1.0/0.0, negative * infinity. */ public static final double NEGATIVE_INFINITY = -1.0 / 0.0; /** * The value of a double representing 1.0/0.0, positive infinity. */ public static final double POSITIVE_INFINITY = 1.0 / 0.0; /** * All IEEE 754 values of NaN have the same value in Java. */ public static final double NaN = 0.0 / 0.0; /** * The number of bits needed to represent a double. * @since 1.5 */ public static final int SIZE = 64; /** * The primitive type double is represented by this * Class object. * @since 1.1 */ public static final Class TYPE = (Class) VMClassLoader.getPrimitiveClass('D'); /** * Cache representation of 0 */ private static final Double ZERO = new Double(0.0d); /** * Cache representation of 1 */ private static final Double ONE = new Double(1.0d); /** * The immutable value of this Double. * * @serial the wrapped double */ private final double value; /** * Create a Double from the primitive double * specified. * * @param value the double argument */ public Double(double value) { this.value = value; } /** * Create a Double from the specified String. * This method calls Double.parseDouble(). * * @param s the String to convert * @throws NumberFormatException if s cannot be parsed as a * double * @throws NullPointerException if s is null * @see #parseDouble(String) */ public Double(String s) { value = parseDouble(s); } /** * Convert the double to a String. * Floating-point string representation is fairly complex: here is a * rundown of the possible values. "[-]" indicates that a * negative sign will be printed if the value (or exponent) is negative. * "<number>" means a string of digits ('0' to '9'). * "<digit>" means a single digit ('0' to '9').
* * * * * * * * * * *
Value of DoubleString Representation
[+-] 0 [-]0.0
Between [+-] 10-3 and 107, exclusive[-]number.number
Other numeric value[-]<digit>.<number> * E[-]<number>
[+-] infinity [-]Infinity
NaN NaN
* * Yes, negative zero is a possible value. Note that there is * always a . and at least one digit printed after * it: even if the number is 3, it will be printed as 3.0. * After the ".", all digits will be printed except trailing zeros. The * result is rounded to the shortest decimal number which will parse back * to the same double. * *

To create other output formats, use {@link java.text.NumberFormat}. * * @XXX specify where we are not in accord with the spec. * * @param d the double to convert * @return the String representing the double */ public static String toString(double d) { return VMDouble.toString(d, false); } /** * Convert a double value to a hexadecimal string. This converts as * follows: *

    *
  • A NaN value is converted to the string "NaN". *
  • Positive infinity is converted to the string "Infinity". *
  • Negative infinity is converted to the string "-Infinity". *
  • For all other values, the first character of the result is '-' * if the value is negative. This is followed by '0x1.' if the * value is normal, and '0x0.' if the value is denormal. This is * then followed by a (lower-case) hexadecimal representation of the * mantissa, with leading zeros as required for denormal values. * The next character is a 'p', and this is followed by a decimal * representation of the unbiased exponent. *
* @param d the double value * @return the hexadecimal string representation * @since 1.5 */ public static String toHexString(double d) { if (isNaN(d)) return "NaN"; if (isInfinite(d)) return d < 0 ? "-Infinity" : "Infinity"; long bits = doubleToLongBits(d); CPStringBuilder result = new CPStringBuilder(); if (bits < 0) result.append('-'); result.append("0x"); final int mantissaBits = 52; final int exponentBits = 11; long mantMask = (1L << mantissaBits) - 1; long mantissa = bits & mantMask; long expMask = (1L << exponentBits) - 1; long exponent = (bits >>> mantissaBits) & expMask; result.append(exponent == 0 ? '0' : '1'); result.append('.'); result.append(Long.toHexString(mantissa)); if (exponent == 0 && mantissa != 0) { // Treat denormal specially by inserting '0's to make // the length come out right. The constants here are // to account for things like the '0x'. int offset = 4 + ((bits < 0) ? 1 : 0); // The silly +3 is here to keep the code the same between // the Float and Double cases. In Float the value is // not a multiple of 4. int desiredLength = offset + (mantissaBits + 3) / 4; while (result.length() < desiredLength) result.insert(offset, '0'); } result.append('p'); if (exponent == 0 && mantissa == 0) { // Zero, so do nothing special. } else { // Apply bias. boolean denormal = exponent == 0; exponent -= (1 << (exponentBits - 1)) - 1; // Handle denormal. if (denormal) ++exponent; } result.append(Long.toString(exponent)); return result.toString(); } /** * Returns a Double object wrapping the value. * In contrast to the Double constructor, this method * may cache some values. It is used by boxing conversion. * * @param val the value to wrap * @return the Double * @since 1.5 */ public static Double valueOf(double val) { if ((val == 0.0) && (doubleToRawLongBits(val) == 0L)) return ZERO; else if (val == 1.0) return ONE; else return new Double(val); } /** * Create a new Double object using the String. * * @param s the String to convert * @return the new Double * @throws NumberFormatException if s cannot be parsed as a * double * @throws NullPointerException if s is null. * @see #parseDouble(String) */ public static Double valueOf(String s) { return valueOf(parseDouble(s)); } /** * Parse the specified String as a double. The * extended BNF grammar is as follows:
*
   * DecodableString:
   *      ( [ - | + ] NaN )
   *    | ( [ - | + ] Infinity )
   *    | ( [ - | + ] FloatingPoint
   *              [ f | F | d
   *                | D] )
   * FloatingPoint:
   *      ( { Digit }+ [ . { Digit } ]
   *              [ Exponent ] )
   *    | ( . { Digit }+ [ Exponent ] )
   * Exponent:
   *      ( ( e | E )
   *              [ - | + ] { Digit }+ )
   * Digit: '0' through '9'
   * 
* *

NaN and infinity are special cases, to allow parsing of the output * of toString. Otherwise, the result is determined by calculating * n * 10exponent to infinite precision, then rounding * to the nearest double. Remember that many numbers cannot be precisely * represented in floating point. In case of overflow, infinity is used, * and in case of underflow, signed zero is used. Unlike Integer.parseInt, * this does not accept Unicode digits outside the ASCII range. * *

If an unexpected character is found in the String, a * NumberFormatException will be thrown. Leading and trailing * 'whitespace' is ignored via String.trim(), but spaces * internal to the actual number are not allowed. * *

To parse numbers according to another format, consider using * {@link java.text.NumberFormat}. * * @XXX specify where/how we are not in accord with the spec. * * @param str the String to convert * @return the double value of s * @throws NumberFormatException if s cannot be parsed as a * double * @throws NullPointerException if s is null * @see #MIN_VALUE * @see #MAX_VALUE * @see #POSITIVE_INFINITY * @see #NEGATIVE_INFINITY * @since 1.2 */ public static double parseDouble(String str) { return VMDouble.parseDouble(str); } /** * Return true if the double has the same * value as NaN, otherwise return false. * * @param v the double to compare * @return whether the argument is NaN. */ public static boolean isNaN(double v) { // This works since NaN != NaN is the only reflexive inequality // comparison which returns true. return v != v; } /** * Return true if the double has a value * equal to either NEGATIVE_INFINITY or * POSITIVE_INFINITY, otherwise return false. * * @param v the double to compare * @return whether the argument is (-/+) infinity. */ public static boolean isInfinite(double v) { return v == POSITIVE_INFINITY || v == NEGATIVE_INFINITY; } /** * Return true if the value of this Double * is the same as NaN, otherwise return false. * * @return whether this Double is NaN */ public boolean isNaN() { return isNaN(value); } /** * Return true if the value of this Double * is the same as NEGATIVE_INFINITY or * POSITIVE_INFINITY, otherwise return false. * * @return whether this Double is (-/+) infinity */ public boolean isInfinite() { return isInfinite(value); } /** * Convert the double value of this Double * to a String. This method calls * Double.toString(double) to do its dirty work. * * @return the String representation * @see #toString(double) */ public String toString() { return toString(value); } /** * Return the value of this Double as a byte. * * @return the byte value * @since 1.1 */ public byte byteValue() { return (byte) value; } /** * Return the value of this Double as a short. * * @return the short value * @since 1.1 */ public short shortValue() { return (short) value; } /** * Return the value of this Double as an int. * * @return the int value */ public int intValue() { return (int) value; } /** * Return the value of this Double as a long. * * @return the long value */ public long longValue() { return (long) value; } /** * Return the value of this Double as a float. * * @return the float value */ public float floatValue() { return (float) value; } /** * Return the value of this Double. * * @return the double value */ public double doubleValue() { return value; } /** * Return a hashcode representing this Object. Double's hash * code is calculated by:
* long v = Double.doubleToLongBits(doubleValue());
* int hash = (int)(v^(v>>32))
. * * @return this Object's hash code * @see #doubleToLongBits(double) */ public int hashCode() { long v = doubleToLongBits(value); return (int) (v ^ (v >>> 32)); } /** * Returns true if obj is an instance of * Double and represents the same double value. Unlike comparing * two doubles with ==, this treats two instances of * Double.NaN as equal, but treats 0.0 and * -0.0 as unequal. * *

Note that d1.equals(d2) is identical to * doubleToLongBits(d1.doubleValue()) == * doubleToLongBits(d2.doubleValue()). * * @param obj the object to compare * @return whether the objects are semantically equal */ public boolean equals(Object obj) { if (obj instanceof Double) { double d = ((Double) obj).value; return (doubleToRawLongBits(value) == doubleToRawLongBits(d)) || (isNaN(value) && isNaN(d)); } return false; } /** * Convert the double to the IEEE 754 floating-point "double format" bit * layout. Bit 63 (the most significant) is the sign bit, bits 62-52 * (masked by 0x7ff0000000000000L) represent the exponent, and bits 51-0 * (masked by 0x000fffffffffffffL) are the mantissa. This function * collapses all versions of NaN to 0x7ff8000000000000L. The result of this * function can be used as the argument to * Double.longBitsToDouble(long) to obtain the original * double value. * * @param value the double to convert * @return the bits of the double * @see #longBitsToDouble(long) */ public static long doubleToLongBits(double value) { if (isNaN(value)) return 0x7ff8000000000000L; else return VMDouble.doubleToRawLongBits(value); } /** * Convert the double to the IEEE 754 floating-point "double format" bit * layout. Bit 63 (the most significant) is the sign bit, bits 62-52 * (masked by 0x7ff0000000000000L) represent the exponent, and bits 51-0 * (masked by 0x000fffffffffffffL) are the mantissa. This function * leaves NaN alone, rather than collapsing to a canonical value. The * result of this function can be used as the argument to * Double.longBitsToDouble(long) to obtain the original * double value. * * @param value the double to convert * @return the bits of the double * @see #longBitsToDouble(long) */ public static long doubleToRawLongBits(double value) { return VMDouble.doubleToRawLongBits(value); } /** * Convert the argument in IEEE 754 floating-point "double format" bit * layout to the corresponding float. Bit 63 (the most significant) is the * sign bit, bits 62-52 (masked by 0x7ff0000000000000L) represent the * exponent, and bits 51-0 (masked by 0x000fffffffffffffL) are the mantissa. * This function leaves NaN alone, so that you can recover the bit pattern * with Double.doubleToRawLongBits(double). * * @param bits the bits to convert * @return the double represented by the bits * @see #doubleToLongBits(double) * @see #doubleToRawLongBits(double) */ public static double longBitsToDouble(long bits) { return VMDouble.longBitsToDouble(bits); } /** * Compare two Doubles numerically by comparing their double * values. The result is positive if the first is greater, negative if the * second is greater, and 0 if the two are equal. However, this special * cases NaN and signed zero as follows: NaN is considered greater than * all other doubles, including POSITIVE_INFINITY, and positive * zero is considered greater than negative zero. * * @param d the Double to compare * @return the comparison * @since 1.2 */ public int compareTo(Double d) { return compare(value, d.value); } /** * Behaves like new Double(x).compareTo(new Double(y)); in * other words this compares two doubles, special casing NaN and zero, * without the overhead of objects. * * @param x the first double to compare * @param y the second double to compare * @return the comparison * @since 1.4 */ public static int compare(double x, double y) { // handle the easy cases: if (x < y) return -1; if (x > y) return 1; // handle equality respecting that 0.0 != -0.0 (hence not using x == y): long lx = doubleToRawLongBits(x); long ly = doubleToRawLongBits(y); if (lx == ly) return 0; // handle NaNs: if (x != x) return (y != y) ? 0 : 1; else if (y != y) return -1; // handle +/- 0.0 return (lx < ly) ? -1 : 1; } }