--- /dev/null
+package org.apache.lucene.util;
+
+/**
+* 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.
+*/
+
+import java.util.Arrays;
+import java.util.Collections;
+import java.util.Iterator;
+import java.util.Random;
+
+public class TestNumericUtils extends LuceneTestCase {
+
+ public void testLongConversionAndOrdering() throws Exception {
+ // generate a series of encoded longs, each numerical one bigger than the one before
+ String last=null;
+ for (long l=-100000L; l<100000L; l++) {
+ String act=NumericUtils.longToPrefixCoded(l);
+ if (last!=null) {
+ // test if smaller
+ assertTrue("actual bigger than last", last.compareTo(act) < 0 );
+ }
+ // test is back and forward conversion works
+ assertEquals("forward and back conversion should generate same long", l, NumericUtils.prefixCodedToLong(act));
+ // next step
+ last=act;
+ }
+ }
+
+ public void testIntConversionAndOrdering() throws Exception {
+ // generate a series of encoded ints, each numerical one bigger than the one before
+ String last=null;
+ for (int i=-100000; i<100000; i++) {
+ String act=NumericUtils.intToPrefixCoded(i);
+ if (last!=null) {
+ // test if smaller
+ assertTrue("actual bigger than last", last.compareTo(act) < 0 );
+ }
+ // test is back and forward conversion works
+ assertEquals("forward and back conversion should generate same int", i, NumericUtils.prefixCodedToInt(act));
+ // next step
+ last=act;
+ }
+ }
+
+ public void testLongSpecialValues() throws Exception {
+ long[] vals=new long[]{
+ Long.MIN_VALUE, Long.MIN_VALUE+1, Long.MIN_VALUE+2, -5003400000000L,
+ -4000L, -3000L, -2000L, -1000L, -1L, 0L, 1L, 10L, 300L, 50006789999999999L, Long.MAX_VALUE-2, Long.MAX_VALUE-1, Long.MAX_VALUE
+ };
+ String[] prefixVals=new String[vals.length];
+
+ for (int i=0; i<vals.length; i++) {
+ prefixVals[i]=NumericUtils.longToPrefixCoded(vals[i]);
+
+ // check forward and back conversion
+ assertEquals( "forward and back conversion should generate same long", vals[i], NumericUtils.prefixCodedToLong(prefixVals[i]) );
+
+ // test if decoding values as int fails correctly
+ try {
+ NumericUtils.prefixCodedToInt(prefixVals[i]);
+ fail("decoding a prefix coded long value as int should fail");
+ } catch (NumberFormatException e) {
+ // worked
+ }
+ }
+
+ // check sort order (prefixVals should be ascending)
+ for (int i=1; i<prefixVals.length; i++) {
+ assertTrue( "check sort order", prefixVals[i-1].compareTo( prefixVals[i] ) < 0 );
+ }
+
+ // check the prefix encoding, lower precision should have the difference to original value equal to the lower removed bits
+ for (int i=0; i<vals.length; i++) {
+ for (int j=0; j<64; j++) {
+ long prefixVal=NumericUtils.prefixCodedToLong(NumericUtils.longToPrefixCoded(vals[i], j));
+ long mask=(1L << j) - 1L;
+ assertEquals( "difference between prefix val and original value for "+vals[i]+" with shift="+j, vals[i] & mask, vals[i]-prefixVal );
+ }
+ }
+ }
+
+ public void testIntSpecialValues() throws Exception {
+ int[] vals=new int[]{
+ Integer.MIN_VALUE, Integer.MIN_VALUE+1, Integer.MIN_VALUE+2, -64765767,
+ -4000, -3000, -2000, -1000, -1, 0, 1, 10, 300, 765878989, Integer.MAX_VALUE-2, Integer.MAX_VALUE-1, Integer.MAX_VALUE
+ };
+ String[] prefixVals=new String[vals.length];
+
+ for (int i=0; i<vals.length; i++) {
+ prefixVals[i]=NumericUtils.intToPrefixCoded(vals[i]);
+
+ // check forward and back conversion
+ assertEquals( "forward and back conversion should generate same int", vals[i], NumericUtils.prefixCodedToInt(prefixVals[i]) );
+
+ // test if decoding values as long fails correctly
+ try {
+ NumericUtils.prefixCodedToLong(prefixVals[i]);
+ fail("decoding a prefix coded int value as long should fail");
+ } catch (NumberFormatException e) {
+ // worked
+ }
+ }
+
+ // check sort order (prefixVals should be ascending)
+ for (int i=1; i<prefixVals.length; i++) {
+ assertTrue( "check sort order", prefixVals[i-1].compareTo( prefixVals[i] ) < 0 );
+ }
+
+ // check the prefix encoding, lower precision should have the difference to original value equal to the lower removed bits
+ for (int i=0; i<vals.length; i++) {
+ for (int j=0; j<32; j++) {
+ int prefixVal=NumericUtils.prefixCodedToInt(NumericUtils.intToPrefixCoded(vals[i], j));
+ int mask=(1 << j) - 1;
+ assertEquals( "difference between prefix val and original value for "+vals[i]+" with shift="+j, vals[i] & mask, vals[i]-prefixVal );
+ }
+ }
+ }
+
+ public void testDoubles() throws Exception {
+ double[] vals=new double[]{
+ Double.NEGATIVE_INFINITY, -2.3E25, -1.0E15, -1.0, -1.0E-1, -1.0E-2, -0.0,
+ +0.0, 1.0E-2, 1.0E-1, 1.0, 1.0E15, 2.3E25, Double.POSITIVE_INFINITY, Double.NaN
+ };
+ long[] longVals=new long[vals.length];
+
+ // check forward and back conversion
+ for (int i=0; i<vals.length; i++) {
+ longVals[i]=NumericUtils.doubleToSortableLong(vals[i]);
+ assertTrue( "forward and back conversion should generate same double", Double.compare(vals[i], NumericUtils.sortableLongToDouble(longVals[i]))==0 );
+ }
+
+ // check sort order (prefixVals should be ascending)
+ for (int i=1; i<longVals.length; i++) {
+ assertTrue( "check sort order", longVals[i-1] < longVals[i] );
+ }
+ }
+
+ public static final double[] DOUBLE_NANs = {
+ Double.NaN,
+ Double.longBitsToDouble(0x7ff0000000000001L),
+ Double.longBitsToDouble(0x7fffffffffffffffL),
+ Double.longBitsToDouble(0xfff0000000000001L),
+ Double.longBitsToDouble(0xffffffffffffffffL)
+ };
+
+ public void testSortableDoubleNaN() {
+ final long plusInf = NumericUtils.doubleToSortableLong(Double.POSITIVE_INFINITY);
+ for (double nan : DOUBLE_NANs) {
+ assertTrue(Double.isNaN(nan));
+ final long sortable = NumericUtils.doubleToSortableLong(nan);
+ assertTrue("Double not sorted correctly: " + nan + ", long repr: "
+ + sortable + ", positive inf.: " + plusInf, sortable > plusInf);
+ }
+ }
+
+ public void testFloats() throws Exception {
+ float[] vals=new float[]{
+ Float.NEGATIVE_INFINITY, -2.3E25f, -1.0E15f, -1.0f, -1.0E-1f, -1.0E-2f, -0.0f,
+ +0.0f, 1.0E-2f, 1.0E-1f, 1.0f, 1.0E15f, 2.3E25f, Float.POSITIVE_INFINITY, Float.NaN
+ };
+ int[] intVals=new int[vals.length];
+
+ // check forward and back conversion
+ for (int i=0; i<vals.length; i++) {
+ intVals[i]=NumericUtils.floatToSortableInt(vals[i]);
+ assertTrue( "forward and back conversion should generate same double", Float.compare(vals[i], NumericUtils.sortableIntToFloat(intVals[i]))==0 );
+ }
+
+ // check sort order (prefixVals should be ascending)
+ for (int i=1; i<intVals.length; i++) {
+ assertTrue( "check sort order", intVals[i-1] < intVals[i] );
+ }
+ }
+
+ public static final float[] FLOAT_NANs = {
+ Float.NaN,
+ Float.intBitsToFloat(0x7f800001),
+ Float.intBitsToFloat(0x7fffffff),
+ Float.intBitsToFloat(0xff800001),
+ Float.intBitsToFloat(0xffffffff)
+ };
+
+ public void testSortableFloatNaN() {
+ final int plusInf = NumericUtils.floatToSortableInt(Float.POSITIVE_INFINITY);
+ for (float nan : FLOAT_NANs) {
+ assertTrue(Float.isNaN(nan));
+ final int sortable = NumericUtils.floatToSortableInt(nan);
+ assertTrue("Float not sorted correctly: " + nan + ", int repr: "
+ + sortable + ", positive inf.: " + plusInf, sortable > plusInf);
+ }
+ }
+
+ // INFO: Tests for trieCodeLong()/trieCodeInt() not needed because implicitely tested by range filter tests
+
+ /** Note: The neededBounds Iterable must be unsigned (easier understanding what's happening) */
+ private void assertLongRangeSplit(final long lower, final long upper, int precisionStep,
+ final boolean useBitSet, final Iterable<Long> expectedBounds, final Iterable<Integer> expectedShifts
+ ) throws Exception {
+ // Cannot use FixedBitSet since the range could be long:
+ final OpenBitSet bits=useBitSet ? new OpenBitSet(upper-lower+1) : null;
+ final Iterator<Long> neededBounds = (expectedBounds == null) ? null : expectedBounds.iterator();
+ final Iterator<Integer> neededShifts = (expectedShifts == null) ? null : expectedShifts.iterator();
+
+ NumericUtils.splitLongRange(new NumericUtils.LongRangeBuilder() {
+ @Override
+ public void addRange(long min, long max, int shift) {
+ assertTrue("min, max should be inside bounds", min>=lower && min<=upper && max>=lower && max<=upper);
+ if (useBitSet) for (long l=min; l<=max; l++) {
+ assertFalse("ranges should not overlap", bits.getAndSet(l-lower) );
+ // extra exit condition to prevent overflow on MAX_VALUE
+ if (l == max) break;
+ }
+ if (neededBounds == null || neededShifts == null)
+ return;
+ // make unsigned longs for easier display and understanding
+ min ^= 0x8000000000000000L;
+ max ^= 0x8000000000000000L;
+ //System.out.println("0x"+Long.toHexString(min>>>shift)+"L,0x"+Long.toHexString(max>>>shift)+"L)/*shift="+shift+"*/,");
+ assertEquals( "shift", neededShifts.next().intValue(), shift);
+ assertEquals( "inner min bound", neededBounds.next().longValue(), min>>>shift);
+ assertEquals( "inner max bound", neededBounds.next().longValue(), max>>>shift);
+ }
+ }, precisionStep, lower, upper);
+
+ if (useBitSet) {
+ // after flipping all bits in the range, the cardinality should be zero
+ bits.flip(0,upper-lower+1);
+ assertEquals("The sub-range concenated should match the whole range", 0, bits.cardinality());
+ }
+ }
+
+ /** LUCENE-2541: NumericRangeQuery errors with endpoints near long min and max values */
+ public void testLongExtremeValues() throws Exception {
+ // upper end extremes
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 1, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 2, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 4, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 6, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 8, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE, Long.MAX_VALUE, 64, true, Arrays.asList(
+ 0xffffffffffffffffL,0xffffffffffffffffL
+ ), Arrays.asList(
+ 0
+ ));
+
+ assertLongRangeSplit(Long.MAX_VALUE-0xfL, Long.MAX_VALUE, 4, true, Arrays.asList(
+ 0xfffffffffffffffL,0xfffffffffffffffL
+ ), Arrays.asList(
+ 4
+ ));
+ assertLongRangeSplit(Long.MAX_VALUE-0x10L, Long.MAX_VALUE, 4, true, Arrays.asList(
+ 0xffffffffffffffefL,0xffffffffffffffefL,
+ 0xfffffffffffffffL,0xfffffffffffffffL
+ ), Arrays.asList(
+ 0, 4
+ ));
+
+ // lower end extremes
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 1, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 2, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 4, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 6, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 8, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE, 64, true, Arrays.asList(
+ 0x0000000000000000L,0x0000000000000000L
+ ), Arrays.asList(
+ 0
+ ));
+
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE+0xfL, 4, true, Arrays.asList(
+ 0x000000000000000L,0x000000000000000L
+ ), Arrays.asList(
+ 4
+ ));
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MIN_VALUE+0x10L, 4, true, Arrays.asList(
+ 0x0000000000000010L,0x0000000000000010L,
+ 0x000000000000000L,0x000000000000000L
+ ), Arrays.asList(
+ 0, 4
+ ));
+ }
+
+ public void testRandomSplit() throws Exception {
+ long num = (long) atLeast(10);
+ for (long i=0; i < num; i++) {
+ executeOneRandomSplit(random);
+ }
+ }
+
+ private void executeOneRandomSplit(final Random random) throws Exception {
+ long lower = randomLong(random);
+ long len = random.nextInt(16384*1024); // not too large bitsets, else OOME!
+ while (lower + len < lower) { // overflow
+ lower >>= 1;
+ }
+ assertLongRangeSplit(lower, lower + len, random.nextInt(64) + 1, true, null, null);
+ }
+
+ private long randomLong(final Random random) {
+ long val;
+ switch(random.nextInt(4)) {
+ case 0:
+ val = 1L << (random.nextInt(63)); // patterns like 0x000000100000 (-1 yields patterns like 0x0000fff)
+ break;
+ case 1:
+ val = -1L << (random.nextInt(63)); // patterns like 0xfffff00000
+ break;
+ default:
+ val = random.nextLong();
+ }
+
+ val += random.nextInt(5)-2;
+
+ if (random.nextBoolean()) {
+ if (random.nextBoolean()) val += random.nextInt(100)-50;
+ if (random.nextBoolean()) val = ~val;
+ if (random.nextBoolean()) val = val<<1;
+ if (random.nextBoolean()) val = val>>>1;
+ }
+
+ return val;
+ }
+
+ public void testSplitLongRange() throws Exception {
+ // a hard-coded "standard" range
+ assertLongRangeSplit(-5000L, 9500L, 4, true, Arrays.asList(
+ 0x7fffffffffffec78L,0x7fffffffffffec7fL,
+ 0x8000000000002510L,0x800000000000251cL,
+ 0x7fffffffffffec8L, 0x7fffffffffffecfL,
+ 0x800000000000250L, 0x800000000000250L,
+ 0x7fffffffffffedL, 0x7fffffffffffefL,
+ 0x80000000000020L, 0x80000000000024L,
+ 0x7ffffffffffffL, 0x8000000000001L
+ ), Arrays.asList(
+ 0, 0,
+ 4, 4,
+ 8, 8,
+ 12
+ ));
+
+ // the same with no range splitting
+ assertLongRangeSplit(-5000L, 9500L, 64, true, Arrays.asList(
+ 0x7fffffffffffec78L,0x800000000000251cL
+ ), Arrays.asList(
+ 0
+ ));
+
+ // this tests optimized range splitting, if one of the inner bounds
+ // is also the bound of the next lower precision, it should be used completely
+ assertLongRangeSplit(0L, 1024L+63L, 4, true, Arrays.asList(
+ 0x800000000000040L, 0x800000000000043L,
+ 0x80000000000000L, 0x80000000000003L
+ ), Arrays.asList(
+ 4, 8
+ ));
+
+ // the full long range should only consist of a lowest precision range; no bitset testing here, as too much memory needed :-)
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MAX_VALUE, 8, false, Arrays.asList(
+ 0x00L,0xffL
+ ), Arrays.asList(
+ 56
+ ));
+
+ // the same with precisionStep=4
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MAX_VALUE, 4, false, Arrays.asList(
+ 0x0L,0xfL
+ ), Arrays.asList(
+ 60
+ ));
+
+ // the same with precisionStep=2
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MAX_VALUE, 2, false, Arrays.asList(
+ 0x0L,0x3L
+ ), Arrays.asList(
+ 62
+ ));
+
+ // the same with precisionStep=1
+ assertLongRangeSplit(Long.MIN_VALUE, Long.MAX_VALUE, 1, false, Arrays.asList(
+ 0x0L,0x1L
+ ), Arrays.asList(
+ 63
+ ));
+
+ // a inverse range should produce no sub-ranges
+ assertLongRangeSplit(9500L, -5000L, 4, false, Collections.<Long>emptyList(), Collections.<Integer>emptyList());
+
+ // a 0-length range should reproduce the range itsself
+ assertLongRangeSplit(9500L, 9500L, 4, false, Arrays.asList(
+ 0x800000000000251cL,0x800000000000251cL
+ ), Arrays.asList(
+ 0
+ ));
+ }
+
+ /** Note: The neededBounds Iterable must be unsigned (easier understanding what's happening) */
+ private void assertIntRangeSplit(final int lower, final int upper, int precisionStep,
+ final boolean useBitSet, final Iterable<Integer> expectedBounds, final Iterable<Integer> expectedShifts
+ ) throws Exception {
+ final FixedBitSet bits=useBitSet ? new FixedBitSet(upper-lower+1) : null;
+ final Iterator<Integer> neededBounds = (expectedBounds == null) ? null : expectedBounds.iterator();
+ final Iterator<Integer> neededShifts = (expectedShifts == null) ? null : expectedShifts.iterator();
+
+ NumericUtils.splitIntRange(new NumericUtils.IntRangeBuilder() {
+ @Override
+ public void addRange(int min, int max, int shift) {
+ assertTrue("min, max should be inside bounds", min>=lower && min<=upper && max>=lower && max<=upper);
+ if (useBitSet) for (int i=min; i<=max; i++) {
+ assertFalse("ranges should not overlap", bits.getAndSet(i-lower) );
+ // extra exit condition to prevent overflow on MAX_VALUE
+ if (i == max) break;
+ }
+ if (neededBounds == null)
+ return;
+ // make unsigned ints for easier display and understanding
+ min ^= 0x80000000;
+ max ^= 0x80000000;
+ //System.out.println("0x"+Integer.toHexString(min>>>shift)+",0x"+Integer.toHexString(max>>>shift)+")/*shift="+shift+"*/,");
+ assertEquals( "shift", neededShifts.next().intValue(), shift);
+ assertEquals( "inner min bound", neededBounds.next().intValue(), min>>>shift);
+ assertEquals( "inner max bound", neededBounds.next().intValue(), max>>>shift);
+ }
+ }, precisionStep, lower, upper);
+
+ if (useBitSet) {
+ // after flipping all bits in the range, the cardinality should be zero
+ bits.flip(0, upper-lower+1);
+ assertEquals("The sub-range concenated should match the whole range", 0, bits.cardinality());
+ }
+ }
+
+ public void testSplitIntRange() throws Exception {
+ // a hard-coded "standard" range
+ assertIntRangeSplit(-5000, 9500, 4, true, Arrays.asList(
+ 0x7fffec78,0x7fffec7f,
+ 0x80002510,0x8000251c,
+ 0x7fffec8, 0x7fffecf,
+ 0x8000250, 0x8000250,
+ 0x7fffed, 0x7fffef,
+ 0x800020, 0x800024,
+ 0x7ffff, 0x80001
+ ), Arrays.asList(
+ 0, 0,
+ 4, 4,
+ 8, 8,
+ 12
+ ));
+
+ // the same with no range splitting
+ assertIntRangeSplit(-5000, 9500, 32, true, Arrays.asList(
+ 0x7fffec78,0x8000251c
+ ), Arrays.asList(
+ 0
+ ));
+
+ // this tests optimized range splitting, if one of the inner bounds
+ // is also the bound of the next lower precision, it should be used completely
+ assertIntRangeSplit(0, 1024+63, 4, true, Arrays.asList(
+ 0x8000040, 0x8000043,
+ 0x800000, 0x800003
+ ), Arrays.asList(
+ 4, 8
+ ));
+
+ // the full int range should only consist of a lowest precision range; no bitset testing here, as too much memory needed :-)
+ assertIntRangeSplit(Integer.MIN_VALUE, Integer.MAX_VALUE, 8, false, Arrays.asList(
+ 0x00,0xff
+ ), Arrays.asList(
+ 24
+ ));
+
+ // the same with precisionStep=4
+ assertIntRangeSplit(Integer.MIN_VALUE, Integer.MAX_VALUE, 4, false, Arrays.asList(
+ 0x0,0xf
+ ), Arrays.asList(
+ 28
+ ));
+
+ // the same with precisionStep=2
+ assertIntRangeSplit(Integer.MIN_VALUE, Integer.MAX_VALUE, 2, false, Arrays.asList(
+ 0x0,0x3
+ ), Arrays.asList(
+ 30
+ ));
+
+ // the same with precisionStep=1
+ assertIntRangeSplit(Integer.MIN_VALUE, Integer.MAX_VALUE, 1, false, Arrays.asList(
+ 0x0,0x1
+ ), Arrays.asList(
+ 31
+ ));
+
+ // a inverse range should produce no sub-ranges
+ assertIntRangeSplit(9500, -5000, 4, false, Collections.<Integer>emptyList(), Collections.<Integer>emptyList());
+
+ // a 0-length range should reproduce the range itsself
+ assertIntRangeSplit(9500, 9500, 4, false, Arrays.asList(
+ 0x8000251c,0x8000251c
+ ), Arrays.asList(
+ 0
+ ));
+ }
+
+}