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/*
 * Copyright 2020 The Netty Project
 *
 * The Netty Project 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:
 *
 *   https://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 com.arangodb.shaded.netty.buffer;

import static com.arangodb.shaded.netty.buffer.PoolThreadCache.*;

/**
 * SizeClasses requires {@code pageShifts} to be defined prior to inclusion,
 * and it in turn defines:
 * 

* LOG2_SIZE_CLASS_GROUP: Log of size class count for each size doubling. * LOG2_MAX_LOOKUP_SIZE: Log of max size class in the lookup table. * sizeClasses: Complete table of [index, log2Group, log2Delta, nDelta, isMultiPageSize, * isSubPage, log2DeltaLookup] tuples. * index: Size class index. * log2Group: Log of group base size (no deltas added). * log2Delta: Log of delta to previous size class. * nDelta: Delta multiplier. * isMultiPageSize: 'yes' if a multiple of the page size, 'no' otherwise. * isSubPage: 'yes' if a subpage size class, 'no' otherwise. * log2DeltaLookup: Same as log2Delta if a lookup table size class, 'no' * otherwise. *

* nSubpages: Number of subpages size classes. * nSizes: Number of size classes. * nPSizes: Number of size classes that are multiples of pageSize. * * smallMaxSizeIdx: Maximum small size class index. * * lookupMaxClass: Maximum size class included in lookup table. * log2NormalMinClass: Log of minimum normal size class. *

* The first size class and spacing are 1 << LOG2_QUANTUM. * Each group has 1 << LOG2_SIZE_CLASS_GROUP of size classes. * * size = 1 << log2Group + nDelta * (1 << log2Delta) * * The first size class has an unusual encoding, because the size has to be * split between group and delta*nDelta. * * If pageShift = 13, sizeClasses looks like this: * * (index, log2Group, log2Delta, nDelta, isMultiPageSize, isSubPage, log2DeltaLookup) *

* ( 0, 4, 4, 0, no, yes, 4) * ( 1, 4, 4, 1, no, yes, 4) * ( 2, 4, 4, 2, no, yes, 4) * ( 3, 4, 4, 3, no, yes, 4) *

* ( 4, 6, 4, 1, no, yes, 4) * ( 5, 6, 4, 2, no, yes, 4) * ( 6, 6, 4, 3, no, yes, 4) * ( 7, 6, 4, 4, no, yes, 4) *

* ( 8, 7, 5, 1, no, yes, 5) * ( 9, 7, 5, 2, no, yes, 5) * ( 10, 7, 5, 3, no, yes, 5) * ( 11, 7, 5, 4, no, yes, 5) * ... * ... * ( 72, 23, 21, 1, yes, no, no) * ( 73, 23, 21, 2, yes, no, no) * ( 74, 23, 21, 3, yes, no, no) * ( 75, 23, 21, 4, yes, no, no) *

* ( 76, 24, 22, 1, yes, no, no) */ abstract class SizeClasses implements SizeClassesMetric { static final int LOG2_QUANTUM = 4; private static final int LOG2_SIZE_CLASS_GROUP = 2; private static final int LOG2_MAX_LOOKUP_SIZE = 12; private static final int INDEX_IDX = 0; private static final int LOG2GROUP_IDX = 1; private static final int LOG2DELTA_IDX = 2; private static final int NDELTA_IDX = 3; private static final int PAGESIZE_IDX = 4; private static final int SUBPAGE_IDX = 5; private static final int LOG2_DELTA_LOOKUP_IDX = 6; private static final byte no = 0, yes = 1; protected final int pageSize; protected final int pageShifts; protected final int chunkSize; protected final int directMemoryCacheAlignment; final int nSizes; final int nSubpages; final int nPSizes; final int lookupMaxSize; final int smallMaxSizeIdx; private final int[] pageIdx2sizeTab; // lookup table for sizeIdx <= smallMaxSizeIdx private final int[] sizeIdx2sizeTab; // lookup table used for size <= lookupMaxClass // spacing is 1 << LOG2_QUANTUM, so the size of array is lookupMaxClass >> LOG2_QUANTUM private final int[] size2idxTab; protected SizeClasses(int pageSize, int pageShifts, int chunkSize, int directMemoryCacheAlignment) { int group = log2(chunkSize) - LOG2_QUANTUM - LOG2_SIZE_CLASS_GROUP + 1; //generate size classes //[index, log2Group, log2Delta, nDelta, isMultiPageSize, isSubPage, log2DeltaLookup] short[][] sizeClasses = new short[group << LOG2_SIZE_CLASS_GROUP][7]; int normalMaxSize = -1; int nSizes = 0; int size = 0; int log2Group = LOG2_QUANTUM; int log2Delta = LOG2_QUANTUM; int ndeltaLimit = 1 << LOG2_SIZE_CLASS_GROUP; //First small group, nDelta start at 0. //first size class is 1 << LOG2_QUANTUM for (int nDelta = 0; nDelta < ndeltaLimit; nDelta++, nSizes++) { short[] sizeClass = newSizeClass(nSizes, log2Group, log2Delta, nDelta, pageShifts); sizeClasses[nSizes] = sizeClass; size = sizeOf(sizeClass, directMemoryCacheAlignment); } log2Group += LOG2_SIZE_CLASS_GROUP; //All remaining groups, nDelta start at 1. for (; size < chunkSize; log2Group++, log2Delta++) { for (int nDelta = 1; nDelta <= ndeltaLimit && size < chunkSize; nDelta++, nSizes++) { short[] sizeClass = newSizeClass(nSizes, log2Group, log2Delta, nDelta, pageShifts); sizeClasses[nSizes] = sizeClass; size = normalMaxSize = sizeOf(sizeClass, directMemoryCacheAlignment); } } //chunkSize must be normalMaxSize assert chunkSize == normalMaxSize; int smallMaxSizeIdx = 0; int lookupMaxSize = 0; int nPSizes = 0; int nSubpages = 0; for (int idx = 0; idx < nSizes; idx++) { short[] sz = sizeClasses[idx]; if (sz[PAGESIZE_IDX] == yes) { nPSizes++; } if (sz[SUBPAGE_IDX] == yes) { nSubpages++; smallMaxSizeIdx = idx; } if (sz[LOG2_DELTA_LOOKUP_IDX] != no) { lookupMaxSize = sizeOf(sz, directMemoryCacheAlignment); } } this.smallMaxSizeIdx = smallMaxSizeIdx; this.lookupMaxSize = lookupMaxSize; this.nPSizes = nPSizes; this.nSubpages = nSubpages; this.nSizes = nSizes; this.pageSize = pageSize; this.pageShifts = pageShifts; this.chunkSize = chunkSize; this.directMemoryCacheAlignment = directMemoryCacheAlignment; //generate lookup tables sizeIdx2sizeTab = newIdx2SizeTab(sizeClasses, nSizes, directMemoryCacheAlignment); pageIdx2sizeTab = newPageIdx2sizeTab(sizeClasses, nSizes, nPSizes, directMemoryCacheAlignment); size2idxTab = newSize2idxTab(lookupMaxSize, sizeClasses); } //calculate size class private static short[] newSizeClass(int index, int log2Group, int log2Delta, int nDelta, int pageShifts) { short isMultiPageSize; if (log2Delta >= pageShifts) { isMultiPageSize = yes; } else { int pageSize = 1 << pageShifts; int size = calculateSize(log2Group, nDelta, log2Delta); isMultiPageSize = size == size / pageSize * pageSize? yes : no; } int log2Ndelta = nDelta == 0? 0 : log2(nDelta); byte remove = 1 << log2Ndelta < nDelta? yes : no; int log2Size = log2Delta + log2Ndelta == log2Group? log2Group + 1 : log2Group; if (log2Size == log2Group) { remove = yes; } short isSubpage = log2Size < pageShifts + LOG2_SIZE_CLASS_GROUP? yes : no; int log2DeltaLookup = log2Size < LOG2_MAX_LOOKUP_SIZE || log2Size == LOG2_MAX_LOOKUP_SIZE && remove == no ? log2Delta : no; return new short[] { (short) index, (short) log2Group, (short) log2Delta, (short) nDelta, isMultiPageSize, isSubpage, (short) log2DeltaLookup }; } private static int[] newIdx2SizeTab(short[][] sizeClasses, int nSizes, int directMemoryCacheAlignment) { int[] sizeIdx2sizeTab = new int[nSizes]; for (int i = 0; i < nSizes; i++) { short[] sizeClass = sizeClasses[i]; sizeIdx2sizeTab[i] = sizeOf(sizeClass, directMemoryCacheAlignment); } return sizeIdx2sizeTab; } private static int calculateSize(int log2Group, int nDelta, int log2Delta) { return (1 << log2Group) + (nDelta << log2Delta); } private static int sizeOf(short[] sizeClass, int directMemoryCacheAlignment) { int log2Group = sizeClass[LOG2GROUP_IDX]; int log2Delta = sizeClass[LOG2DELTA_IDX]; int nDelta = sizeClass[NDELTA_IDX]; int size = calculateSize(log2Group, nDelta, log2Delta); return alignSizeIfNeeded(size, directMemoryCacheAlignment); } private static int[] newPageIdx2sizeTab(short[][] sizeClasses, int nSizes, int nPSizes, int directMemoryCacheAlignment) { int[] pageIdx2sizeTab = new int[nPSizes]; int pageIdx = 0; for (int i = 0; i < nSizes; i++) { short[] sizeClass = sizeClasses[i]; if (sizeClass[PAGESIZE_IDX] == yes) { pageIdx2sizeTab[pageIdx++] = sizeOf(sizeClass, directMemoryCacheAlignment); } } return pageIdx2sizeTab; } private static int[] newSize2idxTab(int lookupMaxSize, short[][] sizeClasses) { int[] size2idxTab = new int[lookupMaxSize >> LOG2_QUANTUM]; int idx = 0; int size = 0; for (int i = 0; size <= lookupMaxSize; i++) { int log2Delta = sizeClasses[i][LOG2DELTA_IDX]; int times = 1 << log2Delta - LOG2_QUANTUM; while (size <= lookupMaxSize && times-- > 0) { size2idxTab[idx++] = i; size = idx + 1 << LOG2_QUANTUM; } } return size2idxTab; } @Override public int sizeIdx2size(int sizeIdx) { return sizeIdx2sizeTab[sizeIdx]; } @Override public int sizeIdx2sizeCompute(int sizeIdx) { int group = sizeIdx >> LOG2_SIZE_CLASS_GROUP; int mod = sizeIdx & (1 << LOG2_SIZE_CLASS_GROUP) - 1; int groupSize = group == 0? 0 : 1 << LOG2_QUANTUM + LOG2_SIZE_CLASS_GROUP - 1 << group; int shift = group == 0? 1 : group; int lgDelta = shift + LOG2_QUANTUM - 1; int modSize = mod + 1 << lgDelta; return groupSize + modSize; } @Override public long pageIdx2size(int pageIdx) { return pageIdx2sizeTab[pageIdx]; } @Override public long pageIdx2sizeCompute(int pageIdx) { int group = pageIdx >> LOG2_SIZE_CLASS_GROUP; int mod = pageIdx & (1 << LOG2_SIZE_CLASS_GROUP) - 1; long groupSize = group == 0? 0 : 1L << pageShifts + LOG2_SIZE_CLASS_GROUP - 1 << group; int shift = group == 0? 1 : group; int log2Delta = shift + pageShifts - 1; int modSize = mod + 1 << log2Delta; return groupSize + modSize; } @Override public int size2SizeIdx(int size) { if (size == 0) { return 0; } if (size > chunkSize) { return nSizes; } size = alignSizeIfNeeded(size, directMemoryCacheAlignment); if (size <= lookupMaxSize) { //size-1 / MIN_TINY return size2idxTab[size - 1 >> LOG2_QUANTUM]; } int x = log2((size << 1) - 1); int shift = x < LOG2_SIZE_CLASS_GROUP + LOG2_QUANTUM + 1 ? 0 : x - (LOG2_SIZE_CLASS_GROUP + LOG2_QUANTUM); int group = shift << LOG2_SIZE_CLASS_GROUP; int log2Delta = x < LOG2_SIZE_CLASS_GROUP + LOG2_QUANTUM + 1 ? LOG2_QUANTUM : x - LOG2_SIZE_CLASS_GROUP - 1; int mod = size - 1 >> log2Delta & (1 << LOG2_SIZE_CLASS_GROUP) - 1; return group + mod; } @Override public int pages2pageIdx(int pages) { return pages2pageIdxCompute(pages, false); } @Override public int pages2pageIdxFloor(int pages) { return pages2pageIdxCompute(pages, true); } private int pages2pageIdxCompute(int pages, boolean floor) { int pageSize = pages << pageShifts; if (pageSize > chunkSize) { return nPSizes; } int x = log2((pageSize << 1) - 1); int shift = x < LOG2_SIZE_CLASS_GROUP + pageShifts ? 0 : x - (LOG2_SIZE_CLASS_GROUP + pageShifts); int group = shift << LOG2_SIZE_CLASS_GROUP; int log2Delta = x < LOG2_SIZE_CLASS_GROUP + pageShifts + 1? pageShifts : x - LOG2_SIZE_CLASS_GROUP - 1; int mod = pageSize - 1 >> log2Delta & (1 << LOG2_SIZE_CLASS_GROUP) - 1; int pageIdx = group + mod; if (floor && pageIdx2sizeTab[pageIdx] > pages << pageShifts) { pageIdx--; } return pageIdx; } // Round size up to the nearest multiple of alignment. private static int alignSizeIfNeeded(int size, int directMemoryCacheAlignment) { if (directMemoryCacheAlignment <= 0) { return size; } int delta = size & directMemoryCacheAlignment - 1; return delta == 0? size : size + directMemoryCacheAlignment - delta; } @Override public int normalizeSize(int size) { if (size == 0) { return sizeIdx2sizeTab[0]; } size = alignSizeIfNeeded(size, directMemoryCacheAlignment); if (size <= lookupMaxSize) { int ret = sizeIdx2sizeTab[size2idxTab[size - 1 >> LOG2_QUANTUM]]; assert ret == normalizeSizeCompute(size); return ret; } return normalizeSizeCompute(size); } private static int normalizeSizeCompute(int size) { int x = log2((size << 1) - 1); int log2Delta = x < LOG2_SIZE_CLASS_GROUP + LOG2_QUANTUM + 1 ? LOG2_QUANTUM : x - LOG2_SIZE_CLASS_GROUP - 1; int delta = 1 << log2Delta; int delta_mask = delta - 1; return size + delta_mask & ~delta_mask; } }





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