YARN-6768. Improve performance of yarn api record toString and fromString. Contributed by Jonathan Eagles

This commit is contained in:
Jason Lowe 2017-07-24 10:19:20 -05:00
parent 770cc46228
commit 24853bf32a
6 changed files with 220 additions and 161 deletions

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@ -0,0 +1,44 @@
/**
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.hadoop.util;
/**
* Fast thread-safe version of NumberFormat
*/
public class FastNumberFormat {
public static StringBuilder format(StringBuilder sb, long value, int minimumDigits) {
if (value < 0) {
sb.append('-');
value = -value;
}
long tmp = value;
do {
tmp /= 10;
} while (--minimumDigits > 0 && tmp > 0);
for (int i = minimumDigits; i > 0; --i) {
sb.append('0');
}
sb.append(value);
return sb;
}
}

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@ -0,0 +1,46 @@
/**
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.hadoop.util;
import org.junit.Assert;
import org.junit.Test;
import java.text.NumberFormat;
/**
* Test for FastNumberFormat
*/
public class TestFastNumberFormat {
private final int MIN_DIGITS = 6;
@Test(timeout = 1000)
public void testLongWithPadding() throws Exception {
NumberFormat numberFormat = NumberFormat.getInstance();
numberFormat.setGroupingUsed(false);
numberFormat.setMinimumIntegerDigits(6);
long[] testLongs = {1, 23, 456, 7890, 12345, 678901, 2345689, 0, -0, -1,
-23, -456, -7890, -12345, -678901, -2345689};
for (long l: testLongs) {
StringBuilder sb = new StringBuilder();
FastNumberFormat.format(sb, l, MIN_DIGITS);
String fastNumberStr = sb.toString();
Assert.assertEquals("Number formats should be equal",
numberFormat.format(l), fastNumberStr);
}
}
}

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@ -18,18 +18,13 @@
package org.apache.hadoop.yarn.api.records; package org.apache.hadoop.yarn.api.records;
import java.text.NumberFormat;
import java.util.Iterator;
import java.util.NoSuchElementException;
import org.apache.hadoop.classification.InterfaceAudience.Private; import org.apache.hadoop.classification.InterfaceAudience.Private;
import org.apache.hadoop.classification.InterfaceAudience.Public; import org.apache.hadoop.classification.InterfaceAudience.Public;
import org.apache.hadoop.classification.InterfaceStability.Stable; import org.apache.hadoop.classification.InterfaceStability.Stable;
import org.apache.hadoop.classification.InterfaceStability.Unstable; import org.apache.hadoop.classification.InterfaceStability.Unstable;
import org.apache.hadoop.util.FastNumberFormat;
import org.apache.hadoop.yarn.util.Records; import org.apache.hadoop.yarn.util.Records;
import com.google.common.base.Splitter;
/** /**
* <p><code>ApplicationAttemptId</code> denotes the particular <em>attempt</em> * <p><code>ApplicationAttemptId</code> denotes the particular <em>attempt</em>
* of an <code>ApplicationMaster</code> for a given {@link ApplicationId}.</p> * of an <code>ApplicationMaster</code> for a given {@link ApplicationId}.</p>
@ -42,12 +37,14 @@
@Stable @Stable
public abstract class ApplicationAttemptId implements public abstract class ApplicationAttemptId implements
Comparable<ApplicationAttemptId> { Comparable<ApplicationAttemptId> {
private static Splitter _spliter = Splitter.on('_').trimResults();
@Private @Private
@Unstable @Unstable
public static final String appAttemptIdStrPrefix = "appattempt"; public static final String appAttemptIdStrPrefix = "appattempt";
private static final String APP_ATTEMPT_ID_PREFIX = appAttemptIdStrPrefix
+ '_';
@Public @Public
@Unstable @Unstable
public static ApplicationAttemptId newInstance(ApplicationId appId, public static ApplicationAttemptId newInstance(ApplicationId appId,
@ -84,16 +81,8 @@ public static ApplicationAttemptId newInstance(ApplicationId appId,
@Unstable @Unstable
protected abstract void setAttemptId(int attemptId); protected abstract void setAttemptId(int attemptId);
static final ThreadLocal<NumberFormat> attemptIdFormat = private static final int ATTEMPT_ID_MIN_DIGITS = 6;
new ThreadLocal<NumberFormat>() { private static final int APP_ID_MIN_DIGITS = 4;
@Override
public NumberFormat initialValue() {
NumberFormat fmt = NumberFormat.getInstance();
fmt.setGroupingUsed(false);
fmt.setMinimumIntegerDigits(6);
return fmt;
}
};
@Override @Override
public int hashCode() { public int hashCode() {
@ -135,12 +124,14 @@ public int compareTo(ApplicationAttemptId other) {
@Override @Override
public String toString() { public String toString() {
StringBuilder sb = new StringBuilder(appAttemptIdStrPrefix); StringBuilder sb = new StringBuilder(64);
sb.append("_"); sb.append(APP_ATTEMPT_ID_PREFIX);
sb.append(this.getApplicationId().getClusterTimestamp()).append("_"); ApplicationId appId = getApplicationId();
sb.append(ApplicationId.appIdFormat.get().format( sb.append(appId.getClusterTimestamp());
this.getApplicationId().getId())); sb.append('_');
sb.append("_").append(attemptIdFormat.get().format(getAttemptId())); FastNumberFormat.format(sb, appId.getId(), APP_ID_MIN_DIGITS);
sb.append('_');
FastNumberFormat.format(sb, getAttemptId(), ATTEMPT_ID_MIN_DIGITS);
return sb.toString(); return sb.toString();
} }
@ -148,29 +139,33 @@ public String toString() {
@Public @Public
@Stable @Stable
public static ApplicationAttemptId fromString(String applicationAttemptIdStr) { public static ApplicationAttemptId fromString(String appAttemptIdStr) {
Iterator<String> it = _spliter.split(applicationAttemptIdStr).iterator(); if (!appAttemptIdStr.startsWith(APP_ATTEMPT_ID_PREFIX)) {
if (!it.next().equals(appAttemptIdStrPrefix)) {
throw new IllegalArgumentException("Invalid AppAttemptId prefix: " throw new IllegalArgumentException("Invalid AppAttemptId prefix: "
+ applicationAttemptIdStr); + appAttemptIdStr);
} }
try { try {
return toApplicationAttemptId(it); int pos1 = APP_ATTEMPT_ID_PREFIX.length() - 1;
int pos2 = appAttemptIdStr.indexOf('_', pos1 + 1);
if (pos2 < 0) {
throw new IllegalArgumentException("Invalid AppAttemptId: "
+ appAttemptIdStr);
}
long rmId = Long.parseLong(appAttemptIdStr.substring(pos1 + 1, pos2));
int pos3 = appAttemptIdStr.indexOf('_', pos2 + 1);
if (pos3 < 0) {
throw new IllegalArgumentException("Invalid AppAttemptId: "
+ appAttemptIdStr);
}
int appId = Integer.parseInt(appAttemptIdStr.substring(pos2 + 1, pos3));
ApplicationId applicationId = ApplicationId.newInstance(rmId, appId);
int attemptId = Integer.parseInt(appAttemptIdStr.substring(pos3 + 1));
ApplicationAttemptId applicationAttemptId =
ApplicationAttemptId.newInstance(applicationId, attemptId);
return applicationAttemptId;
} catch (NumberFormatException n) { } catch (NumberFormatException n) {
throw new IllegalArgumentException("Invalid AppAttemptId: " throw new IllegalArgumentException("Invalid AppAttemptId: "
+ applicationAttemptIdStr, n); + appAttemptIdStr, n);
} catch (NoSuchElementException e) {
throw new IllegalArgumentException("Invalid AppAttemptId: "
+ applicationAttemptIdStr, e);
} }
} }
private static ApplicationAttemptId toApplicationAttemptId(
Iterator<String> it) throws NumberFormatException {
ApplicationId appId = ApplicationId.newInstance(Long.parseLong(it.next()),
Integer.parseInt(it.next()));
ApplicationAttemptId appAttemptId =
ApplicationAttemptId.newInstance(appId, Integer.parseInt(it.next()));
return appAttemptId;
}
} }

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@ -18,18 +18,13 @@
package org.apache.hadoop.yarn.api.records; package org.apache.hadoop.yarn.api.records;
import java.text.NumberFormat;
import java.util.Iterator;
import java.util.NoSuchElementException;
import org.apache.hadoop.classification.InterfaceAudience.Private; import org.apache.hadoop.classification.InterfaceAudience.Private;
import org.apache.hadoop.classification.InterfaceAudience.Public; import org.apache.hadoop.classification.InterfaceAudience.Public;
import org.apache.hadoop.classification.InterfaceStability.Stable; import org.apache.hadoop.classification.InterfaceStability.Stable;
import org.apache.hadoop.classification.InterfaceStability.Unstable; import org.apache.hadoop.classification.InterfaceStability.Unstable;
import org.apache.hadoop.util.FastNumberFormat;
import org.apache.hadoop.yarn.util.Records; import org.apache.hadoop.yarn.util.Records;
import com.google.common.base.Splitter;
/** /**
* <p><code>ApplicationId</code> represents the <em>globally unique</em> * <p><code>ApplicationId</code> represents the <em>globally unique</em>
* identifier for an application.</p> * identifier for an application.</p>
@ -42,12 +37,13 @@
@Public @Public
@Stable @Stable
public abstract class ApplicationId implements Comparable<ApplicationId> { public abstract class ApplicationId implements Comparable<ApplicationId> {
private static Splitter _spliter = Splitter.on('_').trimResults();
@Private @Private
@Unstable @Unstable
public static final String appIdStrPrefix = "application"; public static final String appIdStrPrefix = "application";
private static final String APPLICATION_ID_PREFIX = appIdStrPrefix + '_';
@Public @Public
@Unstable @Unstable
public static ApplicationId newInstance(long clusterTimestamp, int id) { public static ApplicationId newInstance(long clusterTimestamp, int id) {
@ -87,16 +83,7 @@ public static ApplicationId newInstance(long clusterTimestamp, int id) {
protected abstract void build(); protected abstract void build();
static final ThreadLocal<NumberFormat> appIdFormat = private static final int APP_ID_MIN_DIGITS = 4;
new ThreadLocal<NumberFormat>() {
@Override
public NumberFormat initialValue() {
NumberFormat fmt = NumberFormat.getInstance();
fmt.setGroupingUsed(false);
fmt.setMinimumIntegerDigits(4);
return fmt;
}
};
@Override @Override
public int compareTo(ApplicationId other) { public int compareTo(ApplicationId other) {
@ -110,37 +97,38 @@ public int compareTo(ApplicationId other) {
@Override @Override
public String toString() { public String toString() {
return appIdStrPrefix + "_" + this.getClusterTimestamp() + "_" + appIdFormat StringBuilder sb = new StringBuilder(64);
.get().format(getId()); sb.append(APPLICATION_ID_PREFIX);
} sb.append(getClusterTimestamp());
sb.append('_');
private static ApplicationId toApplicationId( FastNumberFormat.format(sb, getId(), APP_ID_MIN_DIGITS);
Iterator<String> it) throws NumberFormatException { return sb.toString();
ApplicationId appId = ApplicationId.newInstance(Long.parseLong(it.next()),
Integer.parseInt(it.next()));
return appId;
} }
@Public @Public
@Stable @Stable
public static ApplicationId fromString(String appIdStr) { public static ApplicationId fromString(String appIdStr) {
Iterator<String> it = _spliter.split((appIdStr)).iterator(); if (!appIdStr.startsWith(APPLICATION_ID_PREFIX)) {
if (!it.next().equals(appIdStrPrefix)) {
throw new IllegalArgumentException("Invalid ApplicationId prefix: " throw new IllegalArgumentException("Invalid ApplicationId prefix: "
+ appIdStr + ". The valid ApplicationId should start with prefix " + appIdStr + ". The valid ApplicationId should start with prefix "
+ appIdStrPrefix); + appIdStrPrefix);
} }
try { try {
return toApplicationId(it); int pos1 = APPLICATION_ID_PREFIX.length() - 1;
int pos2 = appIdStr.indexOf('_', pos1 + 1);
if (pos2 < 0) {
throw new IllegalArgumentException("Invalid ApplicationId: "
+ appIdStr);
}
long rmId = Long.parseLong(appIdStr.substring(pos1 + 1, pos2));
int appId = Integer.parseInt(appIdStr.substring(pos2 + 1));
ApplicationId applicationId = ApplicationId.newInstance(rmId, appId);
return applicationId;
} catch (NumberFormatException n) { } catch (NumberFormatException n) {
throw new IllegalArgumentException("Invalid ApplicationId: " throw new IllegalArgumentException("Invalid ApplicationId: "
+ appIdStr, n); + appIdStr, n);
} catch (NoSuchElementException e) {
throw new IllegalArgumentException("Invalid ApplicationId: "
+ appIdStr, e);
} }
} }
@Override @Override
public int hashCode() { public int hashCode() {
// Generated by eclipse. // Generated by eclipse.

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@ -18,16 +18,11 @@
package org.apache.hadoop.yarn.api.records; package org.apache.hadoop.yarn.api.records;
import com.google.common.base.Splitter;
import java.text.NumberFormat;
import java.util.Iterator;
import java.util.NoSuchElementException;
import org.apache.hadoop.classification.InterfaceAudience.Private; import org.apache.hadoop.classification.InterfaceAudience.Private;
import org.apache.hadoop.classification.InterfaceAudience.Public; import org.apache.hadoop.classification.InterfaceAudience.Public;
import org.apache.hadoop.classification.InterfaceStability.Stable; import org.apache.hadoop.classification.InterfaceStability.Stable;
import org.apache.hadoop.classification.InterfaceStability.Unstable; import org.apache.hadoop.classification.InterfaceStability.Unstable;
import org.apache.hadoop.util.FastNumberFormat;
import org.apache.hadoop.yarn.util.Records; import org.apache.hadoop.yarn.util.Records;
/** /**
@ -38,8 +33,7 @@
@Stable @Stable
public abstract class ContainerId implements Comparable<ContainerId>{ public abstract class ContainerId implements Comparable<ContainerId>{
public static final long CONTAINER_ID_BITMASK = 0xffffffffffL; public static final long CONTAINER_ID_BITMASK = 0xffffffffffL;
private static final Splitter _SPLITTER = Splitter.on('_').trimResults(); private static final String CONTAINER_PREFIX = "container_";
private static final String CONTAINER_PREFIX = "container";
private static final String EPOCH_PREFIX = "e"; private static final String EPOCH_PREFIX = "e";
@Public @Public
@ -115,29 +109,13 @@ public static ContainerId newInstance(ApplicationAttemptId appAttemptId,
protected abstract void setContainerId(long id); protected abstract void setContainerId(long id);
// TODO: fail the app submission if attempts are more than 10 or something private static final int APP_ID_MIN_DIGITS = 4;
private static final ThreadLocal<NumberFormat> appAttemptIdAndEpochFormat =
new ThreadLocal<NumberFormat>() { private static final int ATTEMPT_ID_MIN_DIGITS = 2;
@Override
public NumberFormat initialValue() { private static final int EPOCH_MIN_DIGITS = 2;
NumberFormat fmt = NumberFormat.getInstance();
fmt.setGroupingUsed(false); private static final int CONTAINER_ID_MIN_DIGITS = 6;
fmt.setMinimumIntegerDigits(2);
return fmt;
}
};
// TODO: Why thread local?
// ^ NumberFormat instances are not threadsafe
private static final ThreadLocal<NumberFormat> containerIdFormat =
new ThreadLocal<NumberFormat>() {
@Override
public NumberFormat initialValue() {
NumberFormat fmt = NumberFormat.getInstance();
fmt.setGroupingUsed(false);
fmt.setMinimumIntegerDigits(6);
return fmt;
}
};
@Override @Override
public int hashCode() { public int hashCode() {
@ -185,72 +163,85 @@ public int compareTo(ContainerId other) {
*/ */
@Override @Override
public String toString() { public String toString() {
StringBuilder sb = new StringBuilder(); StringBuilder sb = new StringBuilder(64);
sb.append(CONTAINER_PREFIX + "_"); sb.append(CONTAINER_PREFIX);
long epoch = getContainerId() >> 40; long epoch = getContainerId() >> 40;
if (epoch > 0) { if (epoch > 0) {
sb.append(EPOCH_PREFIX) sb.append(EPOCH_PREFIX);
.append(appAttemptIdAndEpochFormat.get().format(epoch)).append("_");; FastNumberFormat.format(sb, epoch, EPOCH_MIN_DIGITS);
sb.append('_');
} }
ApplicationId appId = getApplicationAttemptId().getApplicationId(); ApplicationId appId = getApplicationAttemptId().getApplicationId();
sb.append(appId.getClusterTimestamp()).append("_"); sb.append(appId.getClusterTimestamp());
sb.append(ApplicationId.appIdFormat.get().format(appId.getId())) sb.append('_');
.append("_"); FastNumberFormat.format(sb, appId.getId(), APP_ID_MIN_DIGITS);
sb.append( sb.append('_');
appAttemptIdAndEpochFormat.get().format( FastNumberFormat.format(sb, getApplicationAttemptId().getAttemptId(),
getApplicationAttemptId().getAttemptId())).append("_"); ATTEMPT_ID_MIN_DIGITS);
sb.append(containerIdFormat.get() sb.append('_');
.format(CONTAINER_ID_BITMASK & getContainerId())); FastNumberFormat.format(sb, CONTAINER_ID_BITMASK & getContainerId(),
CONTAINER_ID_MIN_DIGITS);
return sb.toString(); return sb.toString();
} }
@Public @Public
@Stable @Stable
public static ContainerId fromString(String containerIdStr) { public static ContainerId fromString(String containerIdStr) {
Iterator<String> it = _SPLITTER.split(containerIdStr).iterator(); if (!containerIdStr.startsWith(CONTAINER_PREFIX)) {
if (!it.next().equals(CONTAINER_PREFIX)) {
throw new IllegalArgumentException("Invalid ContainerId prefix: " throw new IllegalArgumentException("Invalid ContainerId prefix: "
+ containerIdStr); + containerIdStr);
} }
try { try {
String epochOrClusterTimestampStr = it.next(); int pos1 = CONTAINER_PREFIX.length() - 1;
long epoch = 0; long epoch = 0;
ApplicationAttemptId appAttemptID = null; if (containerIdStr.regionMatches(pos1 + 1, EPOCH_PREFIX, 0,
if (epochOrClusterTimestampStr.startsWith(EPOCH_PREFIX)) { EPOCH_PREFIX.length())) {
String epochStr = epochOrClusterTimestampStr; int pos2 = containerIdStr.indexOf('_', pos1 + 1);
epoch = Integer.parseInt(epochStr.substring(EPOCH_PREFIX.length())); if (pos2 < 0) {
appAttemptID = toApplicationAttemptId(it); throw new IllegalArgumentException("Invalid ContainerId: "
} else { + containerIdStr);
String clusterTimestampStr = epochOrClusterTimestampStr; }
long clusterTimestamp = Long.parseLong(clusterTimestampStr); String epochStr = containerIdStr.substring(
appAttemptID = toApplicationAttemptId(clusterTimestamp, it); pos1 + 1 + EPOCH_PREFIX.length(), pos2);
epoch = Integer.parseInt(epochStr);
// rewind the current position
pos1 = pos2;
} }
long id = Long.parseLong(it.next()); int pos2 = containerIdStr.indexOf('_', pos1 + 1);
if (pos2 < 0) {
throw new IllegalArgumentException("Invalid ContainerId: "
+ containerIdStr);
}
long clusterTimestamp = Long.parseLong(
containerIdStr.substring(pos1 + 1, pos2));
int pos3 = containerIdStr.indexOf('_', pos2 + 1);
if (pos3 < 0) {
throw new IllegalArgumentException("Invalid ContainerId: "
+ containerIdStr);
}
int appId = Integer.parseInt(containerIdStr.substring(pos2 + 1, pos3));
ApplicationId applicationId = ApplicationId.newInstance(clusterTimestamp,
appId);
int pos4 = containerIdStr.indexOf('_', pos3 + 1);
if (pos4 < 0) {
throw new IllegalArgumentException("Invalid ContainerId: "
+ containerIdStr);
}
int attemptId = Integer.parseInt(
containerIdStr.substring(pos3 + 1, pos4));
ApplicationAttemptId appAttemptId =
ApplicationAttemptId.newInstance(applicationId, attemptId);
long id = Long.parseLong(containerIdStr.substring(pos4 + 1));
long cid = (epoch << 40) | id; long cid = (epoch << 40) | id;
ContainerId containerId = ContainerId.newContainerId(appAttemptID, cid); ContainerId containerId = ContainerId.newContainerId(appAttemptId, cid);
return containerId; return containerId;
} catch (NumberFormatException n) { } catch (NumberFormatException n) {
throw new IllegalArgumentException("Invalid ContainerId: " throw new IllegalArgumentException("Invalid ContainerId: "
+ containerIdStr, n); + containerIdStr, n);
} catch (NoSuchElementException e) {
throw new IllegalArgumentException("Invalid ContainerId: "
+ containerIdStr, e);
} }
} }
private static ApplicationAttemptId toApplicationAttemptId(
Iterator<String> it) throws NumberFormatException {
return toApplicationAttemptId(Long.parseLong(it.next()), it);
}
private static ApplicationAttemptId toApplicationAttemptId(
long clusterTimestamp, Iterator<String> it) throws NumberFormatException {
ApplicationId appId = ApplicationId.newInstance(clusterTimestamp,
Integer.parseInt(it.next()));
ApplicationAttemptId appAttemptId =
ApplicationAttemptId.newInstance(appId, Integer.parseInt(it.next()));
return appAttemptId;
}
protected abstract void build(); protected abstract void build();
} }

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@ -19,11 +19,11 @@
package org.apache.hadoop.yarn.api.records; package org.apache.hadoop.yarn.api.records;
import java.io.IOException; import java.io.IOException;
import java.text.NumberFormat;
import org.apache.hadoop.classification.InterfaceAudience.Private; import org.apache.hadoop.classification.InterfaceAudience.Private;
import org.apache.hadoop.classification.InterfaceAudience.Public; import org.apache.hadoop.classification.InterfaceAudience.Public;
import org.apache.hadoop.classification.InterfaceStability.Unstable; import org.apache.hadoop.classification.InterfaceStability.Unstable;
import org.apache.hadoop.util.FastNumberFormat;
import org.apache.hadoop.yarn.util.Records; import org.apache.hadoop.yarn.util.Records;
/** /**
@ -89,16 +89,7 @@ public static ReservationId newInstance(long clusterTimestamp, long id) {
protected abstract void build(); protected abstract void build();
static final ThreadLocal<NumberFormat> reservIdFormat = private static final int RESERVATION_ID_MIN_DIGITS = 4;
new ThreadLocal<NumberFormat>() {
@Override
public NumberFormat initialValue() {
NumberFormat fmt = NumberFormat.getInstance();
fmt.setGroupingUsed(false);
fmt.setMinimumIntegerDigits(4);
return fmt;
}
};
@Override @Override
public int compareTo(ReservationId other) { public int compareTo(ReservationId other) {
@ -112,8 +103,12 @@ public int compareTo(ReservationId other) {
@Override @Override
public String toString() { public String toString() {
return reserveIdStrPrefix + this.getClusterTimestamp() + "_" StringBuilder sb = new StringBuilder(64);
+ reservIdFormat.get().format(getId()); sb.append(reserveIdStrPrefix);
sb.append(getClusterTimestamp());
sb.append('_');
FastNumberFormat.format(sb, getId(), RESERVATION_ID_MIN_DIGITS);
return sb.toString();
} }
/** /**