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@ -286,7 +286,7 @@ public final class Integer extends Number
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public static String toHexString(int i) {
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int mag = Integer.SIZE - Integer.numberOfLeadingZeros(i);
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int len = Math.max(((mag + 3) >> 2), 1);
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long x = HexDigits.hex8(i);
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long x = HexDigits.hex8Be(i);
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if (COMPACT_STRINGS) {
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byte[] chars = new byte[len];
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do {
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@ -310,13 +310,13 @@ public final class Long extends Number
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public static String toHexString(long i) {
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int mag = Long.SIZE - Long.numberOfLeadingZeros(i);
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int len = Math.max(((mag + 3) >> 2), 1);
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long x = HexDigits.hex8(i);
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long x = HexDigits.hex8Be((int)i);
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if (COMPACT_STRINGS) {
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byte[] chars = new byte[len];
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if (len > 8) {
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len -= 8;
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Unsafe.getUnsafe().putLongUnaligned(chars, Unsafe.ARRAY_BYTE_BASE_OFFSET + len, x, true);
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x = HexDigits.hex8(i >>> 32);
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x = HexDigits.hex8Be((int)(i >>> 32));
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}
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do {
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chars[--len] = (byte) x;
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@ -332,7 +332,7 @@ public final class Long extends Number
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StringUTF16.putChar(chars, --len, b);
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x >>>= 8;
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}
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x = HexDigits.hex8(i >>> 32);
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x = HexDigits.hex8Be((int)(i >>> 32));
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}
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do {
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StringUTF16.putChar(chars, --len, (byte) x);
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@ -521,15 +521,15 @@ public final class UUID implements java.io.Serializable, Comparable<UUID> {
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// Although the UUID byte ordering is defined to be big-endian, ByteArrayLittleEndian is used here to optimize
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// for the most common architectures.
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ByteArrayLittleEndian.setLong(buf, 0, Long.reverseBytes(HexDigits.hex8(mostSigBits >>> 32)));
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long x0 = Long.reverseBytes(HexDigits.hex8(mostSigBits));
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ByteArrayLittleEndian.setLong(buf, 0, Long.reverseBytes(HexDigits.hex8Be((int)(mostSigBits >>> 32))));
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long x0 = Long.reverseBytes(HexDigits.hex8Be((int)mostSigBits));
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ByteArrayLittleEndian.setInt(buf, 9, (int) x0);
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ByteArrayLittleEndian.setInt(buf, 14, (int) (x0 >>> 32));
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long x1 = Long.reverseBytes(HexDigits.hex8(leastSigBits >>> 32));
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long x1 = Long.reverseBytes(HexDigits.hex8Be((int)(leastSigBits >>> 32)));
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ByteArrayLittleEndian.setInt(buf, 19, (int) (x1));
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ByteArrayLittleEndian.setInt(buf, 24, (int) (x1 >>> 32));
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ByteArrayLittleEndian.setLong(buf, 28, Long.reverseBytes(HexDigits.hex8(leastSigBits)));
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ByteArrayLittleEndian.setLong(buf, 28, Long.reverseBytes(HexDigits.hex8Be((int)leastSigBits)));
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return jla.uncheckedNewStringWithLatin1Bytes(buf);
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}
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@ -110,77 +110,19 @@ public final class HexDigits {
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: v;
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}
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/**
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* Efficiently converts 8 hexadecimal digits to their ASCII representation using SIMD-style vector operations.
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* This method processes multiple digits in parallel by treating a long value as eight 8-bit lanes,
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* achieving significantly better performance compared to traditional loop-based conversion.
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*
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* <p>The conversion algorithm works as follows:
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* <pre>
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* 1. Input expansion: Each 4-bit hex digit is expanded to 8 bits
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* 2. Vector processing:
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* - Add 6 to each digit: triggers carry flag for a-f digits
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* - Mask with 0x10 pattern to isolate carry flags
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* - Calculate ASCII adjustment: (carry << 1) + (carry >> 1) - (carry >> 4)
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* - Add ASCII '0' base (0x30) and original value
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* 3. Byte order adjustment for final output
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* </pre>
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*
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* <p>Performance characteristics:
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* <ul>
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* <li>Processes 8 digits in parallel using vector operations
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* <li>Avoids branching and loops completely
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* <li>Uses only integer arithmetic and bit operations
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* <li>Constant time execution regardless of input values
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* </ul>
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*
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* <p>ASCII conversion mapping:
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* <ul>
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* <li>Digits 0-9 → ASCII '0'-'9' (0x30-0x39)
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* <li>Digits a-f → ASCII 'a'-'f' (0x61-0x66)
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* </ul>
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*
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* @param input A long containing 8 hex digits (each digit must be 0-15)
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* @return A long containing 8 ASCII bytes representing the hex digits
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*
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* @implNote The implementation leverages CPU vector processing capabilities through
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* long integer operations. The algorithm is based on the observation that
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* ASCII hex digits have a specific pattern that can be computed efficiently
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* using carry flag manipulation.
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*
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* @example
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* <pre>
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* Input: 0xABCDEF01
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* Output: 3130666564636261 ('1','0','f','e','d','c','b','a' in ASCII)
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* </pre>
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*
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*/
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public static long hex8(long i) {
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/// Prints an unsigned 4-byte number into 8 hexadecimal digits in an ASCII character buffer.
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/// The buffer is represented as a big-endian 8 byte integer.
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///
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/// Input: 0xA__B__C__D__E__F__0__1
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/// Output: 0x61_62_63_64_65_66_30_31
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public static long hex8Be(int i) {
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// Expand each 4-bit group into 8 bits, spreading them out in the long value: 0xAABBCCDD -> 0xA0A0B0B0C0C0D0D
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i = Long.expand(i, 0x0F0F_0F0F_0F0F_0F0FL);
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long x = Long.expand(i, 0x0F0F_0F0F_0F0F_0F0FL);
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/*
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* This method efficiently converts 8 hexadecimal digits simultaneously using vector operations
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* The algorithm works as follows:
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*
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* For input values 0-15:
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* - For digits 0-9: converts to ASCII '0'-'9' (0x30-0x39)
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* - For digits 10-15: converts to ASCII 'a'-'f' (0x61-0x66)
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*
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* The conversion process:
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* 1. Add 6 to each 4-bit group: i + 0x0606_0606_0606_0606L
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* 2. Mask to get the adjustment flags: & 0x1010_1010_1010_1010L
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* 3. Calculate the offset: (m << 1) + (m >> 1) - (m >> 4)
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* - For 0-9: offset = 0
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* - For a-f: offset = 39 (to bridge the gap between '9' and 'a' in ASCII)
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* 4. Add ASCII '0' base (0x30) and the original value
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* 5. Reverse byte order for correct positioning
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*/
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long m = (i + 0x0606_0606_0606_0606L) & 0x1010_1010_1010_1010L;
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long m = (x + 0x0606_0606_0606_0606L) & 0x1010_1010_1010_1010L;
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// Calculate final ASCII values and reverse bytes for proper ordering
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return ((m << 1) + (m >> 1) - (m >> 4))
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+ 0x3030_3030_3030_3030L // Add ASCII '0' base to all digits
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+ i; // Add original values
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+ x; // Add original values
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}
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}
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