RussellSpitzer commented on a change in pull request #3966:
URL: https://github.com/apache/iceberg/pull/3966#discussion_r795309778



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File path: core/src/main/java/org/apache/iceberg/util/ZOrderByteUtils.java
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@@ -0,0 +1,128 @@
+/*
+ * 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.iceberg.util;
+
+import java.util.Arrays;
+
+/**
+ * Within Z-Ordering the byte representations of objects being compared must 
be ordered,
+ * this requires several types to be transformed when converted to bytes. The 
goal is to
+ * map object's whose byte representation are not lexicographically ordered 
into representations
+ * that are lexicographically ordered.
+ * Most of these techniques are derived from
+ * 
https://aws.amazon.com/blogs/database/z-order-indexing-for-multifaceted-queries-in-amazon-dynamodb-part-2/
+ */
+public class ZOrderByteUtils {
+
+  private ZOrderByteUtils() {
+
+  }
+
+  /**
+   * Signed ints do not have their bytes in magnitude order because of the 
sign bit.
+   * To fix this, flip the sign bit so that all negatives are ordered before 
positives. This essentially
+   * shifts the 0 value so that we don't break our ordering when we cross the 
new 0 value.
+   */
+  public static byte[] orderIntLikeBytes(byte[] intBytes, int size) {
+    if (intBytes == null) {
+      return new byte[size];
+    }
+    intBytes[0] = (byte) (intBytes[0] ^ (1 << 7));
+    return intBytes;
+  }
+
+  /**
+   * IEEE 754 :
+   * “If two floating-point numbers in the same format are ordered (say, x \< 
y),
+   * they are ordered the same way when their bits are reinterpreted as 
sign-magnitude integers.”
+   *
+   * Which means floats can be treated as sign magnitude integers which can 
then be converted into lexicographically
+   * comparable bytes
+   */
+  public static byte[] orderFloatLikeBytes(byte[] floatBytes, int size) {

Review comment:
       Actually I think I can still do this with duds for the prototype, Will 
code all this up Monday
   




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