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HBASE-26566 Optimize encodeNumeric in OrderedBytes (#3940)
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Signed-off-by: Reid Chan <[email protected]>
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YutSean authored and Apache9 committed Dec 27, 2021
1 parent afabefb commit 93a68f9
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Showing 2 changed files with 53 additions and 30 deletions.
Original file line number Diff line number Diff line change
Expand Up @@ -309,10 +309,6 @@ public class OrderedBytes {

public static final Charset UTF8 = Charset.forName("UTF-8");
private static final byte TERM = 0x00;
private static final BigDecimal E8 = BigDecimal.valueOf(1e8);
private static final BigDecimal E32 = BigDecimal.valueOf(1e32);
private static final BigDecimal EN2 = BigDecimal.valueOf(1e-2);
private static final BigDecimal EN10 = BigDecimal.valueOf(1e-10);

/**
* Max precision guaranteed to fit into a {@code long}.
Expand Down Expand Up @@ -637,7 +633,7 @@ private static int encodeNumericSmall(PositionedByteRange dst, BigDecimal val) {
byte[] a = dst.getBytes();
boolean isNeg = val.signum() == -1;
final int offset = dst.getOffset(), start = dst.getPosition();
int e = 0, d, startM;
int e = 0, startM;

if (isNeg) { /* Small negative number: 0x14, -E, ~M */
dst.put(NEG_SMALL);
Expand All @@ -646,21 +642,17 @@ private static int encodeNumericSmall(PositionedByteRange dst, BigDecimal val) {
}

// normalize abs(val) to determine E
while (abs.compareTo(EN10) < 0) { abs = abs.movePointRight(8); e += 4; }
while (abs.compareTo(EN2) < 0) { abs = abs.movePointRight(2); e++; }
int zerosBeforeFirstNonZero = abs.scale() - abs.precision();
int lengthToMoveRight = zerosBeforeFirstNonZero % 2 ==
0 ? zerosBeforeFirstNonZero : zerosBeforeFirstNonZero - 1;
e = lengthToMoveRight / 2;
abs = abs.movePointRight(lengthToMoveRight);

putVaruint64(dst, e, !isNeg); // encode appropriate E value.

// encode M by peeling off centimal digits, encoding x as 2x+1
startM = dst.getPosition();
// TODO: 18 is an arbitrary encoding limit. Reevaluate once we have a better handling of
// numeric scale.
for (int i = 0; i < 18 && abs.compareTo(BigDecimal.ZERO) != 0; i++) {
abs = abs.movePointRight(2);
d = abs.intValue();
dst.put((byte) ((2 * d + 1) & 0xff));
abs = abs.subtract(BigDecimal.valueOf(d));
}
encodeToCentimal(dst, abs);
// terminal digit should be 2x
a[offset + dst.getPosition() - 1] = (byte) (a[offset + dst.getPosition() - 1] & 0xfe);
if (isNeg) {
Expand Down Expand Up @@ -712,7 +704,7 @@ private static int encodeNumericLarge(PositionedByteRange dst, BigDecimal val) {
byte[] a = dst.getBytes();
boolean isNeg = val.signum() == -1;
final int start = dst.getPosition(), offset = dst.getOffset();
int e = 0, d, startM;
int e = 0, startM;

if (isNeg) { /* Large negative number: 0x08, ~E, ~M */
dst.put(NEG_LARGE);
Expand All @@ -721,9 +713,10 @@ private static int encodeNumericLarge(PositionedByteRange dst, BigDecimal val) {
}

// normalize abs(val) to determine E
while (abs.compareTo(E32) >= 0 && e <= 350) { abs = abs.movePointLeft(32); e +=16; }
while (abs.compareTo(E8) >= 0 && e <= 350) { abs = abs.movePointLeft(8); e+= 4; }
while (abs.compareTo(BigDecimal.ONE) >= 0 && e <= 350) { abs = abs.movePointLeft(2); e++; }
int integerDigits = abs.precision() - abs.scale();
int lengthToMoveLeft = integerDigits % 2 == 0 ? integerDigits : integerDigits + 1;
e = lengthToMoveLeft / 2;
abs = abs.movePointLeft(lengthToMoveLeft);

// encode appropriate header byte and/or E value.
if (e > 10) { /* large number, write out {~,}E */
Expand All @@ -738,14 +731,7 @@ private static int encodeNumericLarge(PositionedByteRange dst, BigDecimal val) {

// encode M by peeling off centimal digits, encoding x as 2x+1
startM = dst.getPosition();
// TODO: 18 is an arbitrary encoding limit. Reevaluate once we have a better handling of
// numeric scale.
for (int i = 0; i < 18 && abs.compareTo(BigDecimal.ZERO) != 0; i++) {
abs = abs.movePointRight(2);
d = abs.intValue();
dst.put((byte) (2 * d + 1));
abs = abs.subtract(BigDecimal.valueOf(d));
}
encodeToCentimal(dst, abs);
// terminal digit should be 2x
a[offset + dst.getPosition() - 1] = (byte) (a[offset + dst.getPosition() - 1] & 0xfe);
if (isNeg) {
Expand All @@ -755,6 +741,32 @@ private static int encodeNumericLarge(PositionedByteRange dst, BigDecimal val) {
return dst.getPosition() - start;
}

/**
* Encode a value val in [0.01, 1.0) into Centimals.
* Util function for {@link this.encodeNumericLarge()} and {@link this.encodeNumericSmall()}
* @param dst The destination to which encoded digits are written.
* @param val A BigDecimal after the normalization. The value must be in [0.01, 1.0).
*/
private static void encodeToCentimal(PositionedByteRange dst, BigDecimal val) {
// The input value val must be in [0.01, 1.0)
String stringOfAbs = val.stripTrailingZeros().toPlainString();
String value = stringOfAbs.substring(stringOfAbs.indexOf('.') + 1);
int d;

// If the first float digit is 0, we will encode one digit more than MAX_PRECISION
// We encode at most MAX_PRECISION significant digits into centimals,
// because the input value, has been already normalized.
int maxPrecision = value.charAt(0) == '0' ? MAX_PRECISION + 1 : MAX_PRECISION;
maxPrecision = Math.min(maxPrecision, value.length());
for (int i = 0; i < maxPrecision; i += 2) {
d = (value.charAt(i) - '0') * 10;
if (i + 1 < maxPrecision) {
d += (value.charAt(i + 1) - '0');
}
dst.put((byte) (2 * d + 1));
}
}

/**
* Encode a numerical value using the variable-length encoding.
* @param dst The destination to which encoded digits are written.
Expand Down Expand Up @@ -795,6 +807,8 @@ public static int encodeNumeric(PositionedByteRange dst, double val, Order ord)

/**
* Encode a numerical value using the variable-length encoding.
* If the number of significant digits of the value exceeds the
* {@link OrderedBytes#MAX_PRECISION}, the exceeding part will be lost.
* @param dst The destination to which encoded digits are written.
* @param val The value to encode.
* @param ord The {@link Order} to respect while encoding {@code val}.
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -70,9 +70,14 @@ public class TestOrderedBytes {
static final BigDecimal[] BD_VALS =
{ null, BigDecimal.valueOf(Long.MAX_VALUE), BigDecimal.valueOf(Long.MIN_VALUE),
BigDecimal.valueOf(Double.MAX_VALUE), BigDecimal.valueOf(Double.MIN_VALUE),
BigDecimal.valueOf(Long.MAX_VALUE).multiply(BigDecimal.valueOf(100)) };
BigDecimal.valueOf(Long.MAX_VALUE).multiply(BigDecimal.valueOf(100)),
BigDecimal.valueOf(Long.MAX_VALUE).pow(64),
BigDecimal.valueOf(Long.MAX_VALUE).pow(64).negate(),
new BigDecimal("0." + String.join("", Collections.nCopies(500, "123"))),
new BigDecimal("-0." + String.join("", Collections.nCopies(500, "123")))
};
static final int[] BD_LENGTHS =
{ 1, 11, 11, 11, 4, 12 };
{ 1, 11, 11, 11, 4, 12, 19, 19, 18, 18 };

/*
* This is the smallest difference between two doubles in D_VALS
Expand Down Expand Up @@ -335,7 +340,11 @@ public void testNumericOther() {
if (null == BD_VALS[i]) {
assertEquals(BD_VALS[i], decoded);
} else {
assertEquals("Deserialization failed.", 0, BD_VALS[i].compareTo(decoded));
// The num will be rounded to a specific precision in the encoding phase.
// So that big value will lose precision here. Need to add a normalization here to
// make the test pass.
assertEquals("Deserialization failed.", 0,
OrderedBytes.normalize(BD_VALS[i]).compareTo(decoded));
}
assertEquals("Did not consume enough bytes.", BD_LENGTHS[i], buf1.getPosition() - 1);
}
Expand Down

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