HBASE-26566 Optimize encodeNumeric in OrderedBytes (#3940)
Signed-off-by: Reid Chan <reidchan@apache.org>
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@ -309,10 +309,6 @@ public class OrderedBytes {
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public static final Charset UTF8 = Charset.forName("UTF-8");
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private static final byte TERM = 0x00;
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private static final BigDecimal E8 = BigDecimal.valueOf(1e8);
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private static final BigDecimal E32 = BigDecimal.valueOf(1e32);
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private static final BigDecimal EN2 = BigDecimal.valueOf(1e-2);
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private static final BigDecimal EN10 = BigDecimal.valueOf(1e-10);
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/**
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* Max precision guaranteed to fit into a {@code long}.
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@ -637,7 +633,7 @@ public class OrderedBytes {
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byte[] a = dst.getBytes();
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boolean isNeg = val.signum() == -1;
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final int offset = dst.getOffset(), start = dst.getPosition();
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int e = 0, d, startM;
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int e = 0, startM;
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if (isNeg) { /* Small negative number: 0x14, -E, ~M */
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dst.put(NEG_SMALL);
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@ -646,21 +642,17 @@ public class OrderedBytes {
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}
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// normalize abs(val) to determine E
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while (abs.compareTo(EN10) < 0) { abs = abs.movePointRight(8); e += 4; }
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while (abs.compareTo(EN2) < 0) { abs = abs.movePointRight(2); e++; }
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int zerosBeforeFirstNonZero = abs.scale() - abs.precision();
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int lengthToMoveRight = zerosBeforeFirstNonZero % 2 ==
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0 ? zerosBeforeFirstNonZero : zerosBeforeFirstNonZero - 1;
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e = lengthToMoveRight / 2;
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abs = abs.movePointRight(lengthToMoveRight);
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putVaruint64(dst, e, !isNeg); // encode appropriate E value.
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// encode M by peeling off centimal digits, encoding x as 2x+1
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startM = dst.getPosition();
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// TODO: 18 is an arbitrary encoding limit. Reevaluate once we have a better handling of
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// numeric scale.
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for (int i = 0; i < 18 && abs.compareTo(BigDecimal.ZERO) != 0; i++) {
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abs = abs.movePointRight(2);
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d = abs.intValue();
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dst.put((byte) ((2 * d + 1) & 0xff));
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abs = abs.subtract(BigDecimal.valueOf(d));
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}
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encodeToCentimal(dst, abs);
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// terminal digit should be 2x
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a[offset + dst.getPosition() - 1] = (byte) (a[offset + dst.getPosition() - 1] & 0xfe);
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if (isNeg) {
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@ -712,7 +704,7 @@ public class OrderedBytes {
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byte[] a = dst.getBytes();
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boolean isNeg = val.signum() == -1;
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final int start = dst.getPosition(), offset = dst.getOffset();
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int e = 0, d, startM;
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int e = 0, startM;
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if (isNeg) { /* Large negative number: 0x08, ~E, ~M */
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dst.put(NEG_LARGE);
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@ -721,9 +713,10 @@ public class OrderedBytes {
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}
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// normalize abs(val) to determine E
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while (abs.compareTo(E32) >= 0 && e <= 350) { abs = abs.movePointLeft(32); e +=16; }
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while (abs.compareTo(E8) >= 0 && e <= 350) { abs = abs.movePointLeft(8); e+= 4; }
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while (abs.compareTo(BigDecimal.ONE) >= 0 && e <= 350) { abs = abs.movePointLeft(2); e++; }
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int integerDigits = abs.precision() - abs.scale();
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int lengthToMoveLeft = integerDigits % 2 == 0 ? integerDigits : integerDigits + 1;
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e = lengthToMoveLeft / 2;
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abs = abs.movePointLeft(lengthToMoveLeft);
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// encode appropriate header byte and/or E value.
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if (e > 10) { /* large number, write out {~,}E */
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@ -738,14 +731,7 @@ public class OrderedBytes {
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// encode M by peeling off centimal digits, encoding x as 2x+1
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startM = dst.getPosition();
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// TODO: 18 is an arbitrary encoding limit. Reevaluate once we have a better handling of
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// numeric scale.
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for (int i = 0; i < 18 && abs.compareTo(BigDecimal.ZERO) != 0; i++) {
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abs = abs.movePointRight(2);
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d = abs.intValue();
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dst.put((byte) (2 * d + 1));
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abs = abs.subtract(BigDecimal.valueOf(d));
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}
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encodeToCentimal(dst, abs);
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// terminal digit should be 2x
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a[offset + dst.getPosition() - 1] = (byte) (a[offset + dst.getPosition() - 1] & 0xfe);
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if (isNeg) {
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@ -755,6 +741,32 @@ public class OrderedBytes {
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return dst.getPosition() - start;
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}
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/**
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* Encode a value val in [0.01, 1.0) into Centimals.
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* Util function for {@link this.encodeNumericLarge()} and {@link this.encodeNumericSmall()}
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* @param dst The destination to which encoded digits are written.
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* @param val A BigDecimal after the normalization. The value must be in [0.01, 1.0).
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*/
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private static void encodeToCentimal(PositionedByteRange dst, BigDecimal val) {
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// The input value val must be in [0.01, 1.0)
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String stringOfAbs = val.stripTrailingZeros().toPlainString();
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String value = stringOfAbs.substring(stringOfAbs.indexOf('.') + 1);
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int d;
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// If the first float digit is 0, we will encode one digit more than MAX_PRECISION
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// We encode at most MAX_PRECISION significant digits into centimals,
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// because the input value, has been already normalized.
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int maxPrecision = value.charAt(0) == '0' ? MAX_PRECISION + 1 : MAX_PRECISION;
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maxPrecision = Math.min(maxPrecision, value.length());
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for (int i = 0; i < maxPrecision; i += 2) {
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d = (value.charAt(i) - '0') * 10;
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if (i + 1 < maxPrecision) {
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d += (value.charAt(i + 1) - '0');
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}
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dst.put((byte) (2 * d + 1));
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}
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}
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/**
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* Encode a numerical value using the variable-length encoding.
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* @param dst The destination to which encoded digits are written.
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@ -795,6 +807,8 @@ public class OrderedBytes {
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/**
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* Encode a numerical value using the variable-length encoding.
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* If the number of significant digits of the value exceeds the
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* {@link OrderedBytes#MAX_PRECISION}, the exceeding part will be lost.
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* @param dst The destination to which encoded digits are written.
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* @param val The value to encode.
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* @param ord The {@link Order} to respect while encoding {@code val}.
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@ -70,9 +70,14 @@ public class TestOrderedBytes {
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static final BigDecimal[] BD_VALS =
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{ null, BigDecimal.valueOf(Long.MAX_VALUE), BigDecimal.valueOf(Long.MIN_VALUE),
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BigDecimal.valueOf(Double.MAX_VALUE), BigDecimal.valueOf(Double.MIN_VALUE),
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BigDecimal.valueOf(Long.MAX_VALUE).multiply(BigDecimal.valueOf(100)) };
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BigDecimal.valueOf(Long.MAX_VALUE).multiply(BigDecimal.valueOf(100)),
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BigDecimal.valueOf(Long.MAX_VALUE).pow(64),
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BigDecimal.valueOf(Long.MAX_VALUE).pow(64).negate(),
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new BigDecimal("0." + String.join("", Collections.nCopies(500, "123"))),
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new BigDecimal("-0." + String.join("", Collections.nCopies(500, "123")))
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};
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static final int[] BD_LENGTHS =
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{ 1, 11, 11, 11, 4, 12 };
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{ 1, 11, 11, 11, 4, 12, 19, 19, 18, 18 };
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/*
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* This is the smallest difference between two doubles in D_VALS
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@ -335,7 +340,11 @@ public class TestOrderedBytes {
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if (null == BD_VALS[i]) {
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assertEquals(BD_VALS[i], decoded);
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} else {
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assertEquals("Deserialization failed.", 0, BD_VALS[i].compareTo(decoded));
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// The num will be rounded to a specific precision in the encoding phase.
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// So that big value will lose precision here. Need to add a normalization here to
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// make the test pass.
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assertEquals("Deserialization failed.", 0,
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OrderedBytes.normalize(BD_VALS[i]).compareTo(decoded));
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}
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assertEquals("Did not consume enough bytes.", BD_LENGTHS[i], buf1.getPosition() - 1);
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}
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