/** @file Compression routine. The compression algorithm is a mixture of LZ77 and Huffman coding. LZ77 transforms the source data into a sequence of Original Characters and Pointers to repeated strings. This sequence is further divided into Blocks and Huffman codings are applied to each Block. Copyright (c) 2006 - 2018, Intel Corporation. All rights reserved.
SPDX-License-Identifier: BSD-2-Clause-Patent **/ #include "Compress.h" // // Macro Definitions // #undef UINT8_MAX typedef UINT16 NODE; #define UINT8_MAX 0xff #define UINT8_BIT 8 #define THRESHOLD 3 #define INIT_CRC 0 #define WNDBIT 13 #define WNDSIZ (1U << WNDBIT) #define MAXMATCH 256 #define PERC_FLAG 0x8000U #define CODE_BIT 16 #define NIL 0 #define MAX_HASH_VAL (3 * WNDSIZ + (WNDSIZ / 512 + 1) * UINT8_MAX) #define HASH(p, c) ((p) + ((c) << (WNDBIT - 9)) + WNDSIZ * 2) #define CRCPOLY 0xA001 #define UPDATE_CRC(c) mCrc = mCrcTable[(mCrc ^ (c)) & 0xFF] ^ (mCrc >> UINT8_BIT) // // C: the Char&Len Set; P: the Position Set; T: the exTra Set // #define NC (UINT8_MAX + MAXMATCH + 2 - THRESHOLD) #define CBIT 9 #define NP (WNDBIT + 1) #define PBIT 4 #define NT (CODE_BIT + 3) #define TBIT 5 #if NT > NP #define NPT NT #else #define NPT NP #endif // // Function Prototypes // STATIC VOID PutDword( IN UINT32 Data ); STATIC EFI_STATUS AllocateMemory ( ); STATIC VOID FreeMemory ( ); STATIC VOID InitSlide ( ); STATIC NODE Child ( IN NODE q, IN UINT8 c ); STATIC VOID MakeChild ( IN NODE q, IN UINT8 c, IN NODE r ); STATIC VOID Split ( IN NODE Old ); STATIC VOID InsertNode ( ); STATIC VOID DeleteNode ( ); STATIC VOID GetNextMatch ( ); STATIC EFI_STATUS Encode ( ); STATIC VOID CountTFreq ( ); STATIC VOID WritePTLen ( IN INT32 n, IN INT32 nbit, IN INT32 Special ); STATIC VOID WriteCLen ( ); STATIC VOID EncodeC ( IN INT32 c ); STATIC VOID EncodeP ( IN UINT32 p ); STATIC VOID SendBlock ( ); STATIC VOID Output ( IN UINT32 c, IN UINT32 p ); STATIC VOID HufEncodeStart ( ); STATIC VOID HufEncodeEnd ( ); STATIC VOID MakeCrcTable ( ); STATIC VOID PutBits ( IN INT32 n, IN UINT32 x ); STATIC INT32 FreadCrc ( OUT UINT8 *p, IN INT32 n ); STATIC VOID InitPutBits ( ); STATIC VOID CountLen ( IN INT32 i ); STATIC VOID MakeLen ( IN INT32 Root ); STATIC VOID DownHeap ( IN INT32 i ); STATIC VOID MakeCode ( IN INT32 n, IN UINT8 Len[], OUT UINT16 Code[] ); STATIC INT32 MakeTree ( IN INT32 NParm, IN UINT16 FreqParm[], OUT UINT8 LenParm[], OUT UINT16 CodeParm[] ); // // Global Variables // STATIC UINT8 *mSrc, *mDst, *mSrcUpperLimit, *mDstUpperLimit; STATIC UINT8 *mLevel, *mText, *mChildCount, *mBuf, mCLen[NC], mPTLen[NPT], *mLen; STATIC INT16 mHeap[NC + 1]; STATIC INT32 mRemainder, mMatchLen, mBitCount, mHeapSize, mN; STATIC UINT32 mBufSiz = 0, mOutputPos, mOutputMask, mSubBitBuf, mCrc; STATIC UINT32 mCompSize, mOrigSize; STATIC UINT16 *mFreq, *mSortPtr, mLenCnt[17], mLeft[2 * NC - 1], mRight[2 * NC - 1], mCrcTable[UINT8_MAX + 1], mCFreq[2 * NC - 1],mCCode[NC], mPFreq[2 * NP - 1], mPTCode[NPT], mTFreq[2 * NT - 1]; STATIC NODE mPos, mMatchPos, mAvail, *mPosition, *mParent, *mPrev, *mNext = NULL; // // functions // EFI_STATUS EfiCompress ( IN UINT8 *SrcBuffer, IN UINT32 SrcSize, IN UINT8 *DstBuffer, IN OUT UINT32 *DstSize ) /*++ Routine Description: The main compression routine. Arguments: SrcBuffer - The buffer storing the source data SrcSize - The size of source data DstBuffer - The buffer to store the compressed data DstSize - On input, the size of DstBuffer; On output, the size of the actual compressed data. Returns: EFI_BUFFER_TOO_SMALL - The DstBuffer is too small. In this case, DstSize contains the size needed. EFI_SUCCESS - Compression is successful. --*/ { EFI_STATUS Status = EFI_SUCCESS; // // Initializations // mBufSiz = 0; mBuf = NULL; mText = NULL; mLevel = NULL; mChildCount = NULL; mPosition = NULL; mParent = NULL; mPrev = NULL; mNext = NULL; mSrc = SrcBuffer; mSrcUpperLimit = mSrc + SrcSize; mDst = DstBuffer; mDstUpperLimit = mDst + *DstSize; PutDword(0L); PutDword(0L); MakeCrcTable (); mOrigSize = mCompSize = 0; mCrc = INIT_CRC; // // Compress it // Status = Encode(); if (EFI_ERROR (Status)) { return EFI_OUT_OF_RESOURCES; } // // Null terminate the compressed data // if (mDst < mDstUpperLimit) { *mDst++ = 0; } // // Fill in compressed size and original size // mDst = DstBuffer; PutDword(mCompSize+1); PutDword(mOrigSize); // // Return // if (mCompSize + 1 + 8 > *DstSize) { *DstSize = mCompSize + 1 + 8; return EFI_BUFFER_TOO_SMALL; } else { *DstSize = mCompSize + 1 + 8; return EFI_SUCCESS; } } STATIC VOID PutDword( IN UINT32 Data ) /*++ Routine Description: Put a dword to output stream Arguments: Data - the dword to put Returns: (VOID) --*/ { if (mDst < mDstUpperLimit) { *mDst++ = (UINT8)(((UINT8)(Data )) & 0xff); } if (mDst < mDstUpperLimit) { *mDst++ = (UINT8)(((UINT8)(Data >> 0x08)) & 0xff); } if (mDst < mDstUpperLimit) { *mDst++ = (UINT8)(((UINT8)(Data >> 0x10)) & 0xff); } if (mDst < mDstUpperLimit) { *mDst++ = (UINT8)(((UINT8)(Data >> 0x18)) & 0xff); } } STATIC EFI_STATUS AllocateMemory () /*++ Routine Description: Allocate memory spaces for data structures used in compression process Arguments: (VOID) Returns: EFI_SUCCESS - Memory is allocated successfully EFI_OUT_OF_RESOURCES - Allocation fails --*/ { UINT32 i; mText = malloc (WNDSIZ * 2 + MAXMATCH); if (mText == NULL) { return EFI_OUT_OF_RESOURCES; } for (i = 0 ; i < WNDSIZ * 2 + MAXMATCH; i ++) { mText[i] = 0; } mLevel = malloc ((WNDSIZ + UINT8_MAX + 1) * sizeof(*mLevel)); mChildCount = malloc ((WNDSIZ + UINT8_MAX + 1) * sizeof(*mChildCount)); mPosition = malloc ((WNDSIZ + UINT8_MAX + 1) * sizeof(*mPosition)); mParent = malloc (WNDSIZ * 2 * sizeof(*mParent)); mPrev = malloc (WNDSIZ * 2 * sizeof(*mPrev)); mNext = malloc ((MAX_HASH_VAL + 1) * sizeof(*mNext)); if (mLevel == NULL || mChildCount == NULL || mPosition == NULL || mParent == NULL || mPrev == NULL || mNext == NULL) { return EFI_OUT_OF_RESOURCES; } mBufSiz = 16 * 1024U; while ((mBuf = malloc(mBufSiz)) == NULL) { mBufSiz = (mBufSiz / 10U) * 9U; if (mBufSiz < 4 * 1024U) { return EFI_OUT_OF_RESOURCES; } } mBuf[0] = 0; return EFI_SUCCESS; } VOID FreeMemory () /*++ Routine Description: Called when compression is completed to free memory previously allocated. Arguments: (VOID) Returns: (VOID) --*/ { if (mText) { free (mText); } if (mLevel) { free (mLevel); } if (mChildCount) { free (mChildCount); } if (mPosition) { free (mPosition); } if (mParent) { free (mParent); } if (mPrev) { free (mPrev); } if (mNext) { free (mNext); } if (mBuf) { free (mBuf); } return; } STATIC VOID InitSlide () /*++ Routine Description: Initialize String Info Log data structures Arguments: (VOID) Returns: (VOID) --*/ { NODE i; for (i = WNDSIZ; i <= WNDSIZ + UINT8_MAX; i++) { mLevel[i] = 1; mPosition[i] = NIL; /* sentinel */ } for (i = WNDSIZ; i < WNDSIZ * 2; i++) { mParent[i] = NIL; } mAvail = 1; for (i = 1; i < WNDSIZ - 1; i++) { mNext[i] = (NODE)(i + 1); } mNext[WNDSIZ - 1] = NIL; for (i = WNDSIZ * 2; i <= MAX_HASH_VAL; i++) { mNext[i] = NIL; } } STATIC NODE Child ( IN NODE q, IN UINT8 c ) /*++ Routine Description: Find child node given the parent node and the edge character Arguments: q - the parent node c - the edge character Returns: The child node (NIL if not found) --*/ { NODE r; r = mNext[HASH(q, c)]; mParent[NIL] = q; /* sentinel */ while (mParent[r] != q) { r = mNext[r]; } return r; } STATIC VOID MakeChild ( IN NODE q, IN UINT8 c, IN NODE r ) /*++ Routine Description: Create a new child for a given parent node. Arguments: q - the parent node c - the edge character r - the child node Returns: (VOID) --*/ { NODE h, t; h = (NODE)HASH(q, c); t = mNext[h]; mNext[h] = r; mNext[r] = t; mPrev[t] = r; mPrev[r] = h; mParent[r] = q; mChildCount[q]++; } STATIC VOID Split ( NODE Old ) /*++ Routine Description: Split a node. Arguments: Old - the node to split Returns: (VOID) --*/ { NODE New, t; New = mAvail; mAvail = mNext[New]; mChildCount[New] = 0; t = mPrev[Old]; mPrev[New] = t; mNext[t] = New; t = mNext[Old]; mNext[New] = t; mPrev[t] = New; mParent[New] = mParent[Old]; mLevel[New] = (UINT8)mMatchLen; mPosition[New] = mPos; MakeChild(New, mText[mMatchPos + mMatchLen], Old); MakeChild(New, mText[mPos + mMatchLen], mPos); } STATIC VOID InsertNode () /*++ Routine Description: Insert string info for current position into the String Info Log Arguments: (VOID) Returns: (VOID) --*/ { NODE q, r, j, t; UINT8 c, *t1, *t2; if (mMatchLen >= 4) { // // We have just got a long match, the target tree // can be located by MatchPos + 1. Traverse the tree // from bottom up to get to a proper starting point. // The usage of PERC_FLAG ensures proper node deletion // in DeleteNode() later. // mMatchLen--; r = (INT16)((mMatchPos + 1) | WNDSIZ); while ((q = mParent[r]) == NIL) { r = mNext[r]; } while (mLevel[q] >= mMatchLen) { r = q; q = mParent[q]; } t = q; while (mPosition[t] < 0) { mPosition[t] = mPos; t = mParent[t]; } if (t < WNDSIZ) { mPosition[t] = (NODE)(mPos | PERC_FLAG); } } else { // // Locate the target tree // q = (INT16)(mText[mPos] + WNDSIZ); c = mText[mPos + 1]; if ((r = Child(q, c)) == NIL) { MakeChild(q, c, mPos); mMatchLen = 1; return; } mMatchLen = 2; } // // Traverse down the tree to find a match. // Update Position value along the route. // Node split or creation is involved. // for ( ; ; ) { if (r >= WNDSIZ) { j = MAXMATCH; mMatchPos = r; } else { j = mLevel[r]; mMatchPos = (NODE)(mPosition[r] & ~PERC_FLAG); } if (mMatchPos >= mPos) { mMatchPos -= WNDSIZ; } t1 = &mText[mPos + mMatchLen]; t2 = &mText[mMatchPos + mMatchLen]; while (mMatchLen < j) { if (*t1 != *t2) { Split(r); return; } mMatchLen++; t1++; t2++; } if (mMatchLen >= MAXMATCH) { break; } mPosition[r] = mPos; q = r; if ((r = Child(q, *t1)) == NIL) { MakeChild(q, *t1, mPos); return; } mMatchLen++; } t = mPrev[r]; mPrev[mPos] = t; mNext[t] = mPos; t = mNext[r]; mNext[mPos] = t; mPrev[t] = mPos; mParent[mPos] = q; mParent[r] = NIL; // // Special usage of 'next' // mNext[r] = mPos; } STATIC VOID DeleteNode () /*++ Routine Description: Delete outdated string info. (The Usage of PERC_FLAG ensures a clean deletion) Arguments: (VOID) Returns: (VOID) --*/ { NODE q, r, s, t, u; if (mParent[mPos] == NIL) { return; } r = mPrev[mPos]; s = mNext[mPos]; mNext[r] = s; mPrev[s] = r; r = mParent[mPos]; mParent[mPos] = NIL; if (r >= WNDSIZ || --mChildCount[r] > 1) { return; } t = (NODE)(mPosition[r] & ~PERC_FLAG); if (t >= mPos) { t -= WNDSIZ; } s = t; q = mParent[r]; while ((u = mPosition[q]) & PERC_FLAG) { u &= ~PERC_FLAG; if (u >= mPos) { u -= WNDSIZ; } if (u > s) { s = u; } mPosition[q] = (INT16)(s | WNDSIZ); q = mParent[q]; } if (q < WNDSIZ) { if (u >= mPos) { u -= WNDSIZ; } if (u > s) { s = u; } mPosition[q] = (INT16)(s | WNDSIZ | PERC_FLAG); } s = Child(r, mText[t + mLevel[r]]); t = mPrev[s]; u = mNext[s]; mNext[t] = u; mPrev[u] = t; t = mPrev[r]; mNext[t] = s; mPrev[s] = t; t = mNext[r]; mPrev[t] = s; mNext[s] = t; mParent[s] = mParent[r]; mParent[r] = NIL; mNext[r] = mAvail; mAvail = r; } STATIC VOID GetNextMatch () /*++ Routine Description: Advance the current position (read in new data if needed). Delete outdated string info. Find a match string for current position. Arguments: (VOID) Returns: (VOID) --*/ { INT32 n; mRemainder--; if (++mPos == WNDSIZ * 2) { memmove(&mText[0], &mText[WNDSIZ], WNDSIZ + MAXMATCH); n = FreadCrc(&mText[WNDSIZ + MAXMATCH], WNDSIZ); mRemainder += n; mPos = WNDSIZ; } DeleteNode(); InsertNode(); } STATIC EFI_STATUS Encode () /*++ Routine Description: The main controlling routine for compression process. Arguments: (VOID) Returns: EFI_SUCCESS - The compression is successful EFI_OUT_0F_RESOURCES - Not enough memory for compression process --*/ { EFI_STATUS Status; INT32 LastMatchLen; NODE LastMatchPos; Status = AllocateMemory(); if (EFI_ERROR(Status)) { FreeMemory(); return Status; } InitSlide(); HufEncodeStart(); mRemainder = FreadCrc(&mText[WNDSIZ], WNDSIZ + MAXMATCH); mMatchLen = 0; mPos = WNDSIZ; InsertNode(); if (mMatchLen > mRemainder) { mMatchLen = mRemainder; } while (mRemainder > 0) { LastMatchLen = mMatchLen; LastMatchPos = mMatchPos; GetNextMatch(); if (mMatchLen > mRemainder) { mMatchLen = mRemainder; } if (mMatchLen > LastMatchLen || LastMatchLen < THRESHOLD) { // // Not enough benefits are gained by outputting a pointer, // so just output the original character // Output(mText[mPos - 1], 0); } else { // // Outputting a pointer is beneficial enough, do it. // Output(LastMatchLen + (UINT8_MAX + 1 - THRESHOLD), (mPos - LastMatchPos - 2) & (WNDSIZ - 1)); while (--LastMatchLen > 0) { GetNextMatch(); } if (mMatchLen > mRemainder) { mMatchLen = mRemainder; } } } HufEncodeEnd(); FreeMemory(); return EFI_SUCCESS; } STATIC VOID CountTFreq () /*++ Routine Description: Count the frequencies for the Extra Set Arguments: (VOID) Returns: (VOID) --*/ { INT32 i, k, n, Count; for (i = 0; i < NT; i++) { mTFreq[i] = 0; } n = NC; while (n > 0 && mCLen[n - 1] == 0) { n--; } i = 0; while (i < n) { k = mCLen[i++]; if (k == 0) { Count = 1; while (i < n && mCLen[i] == 0) { i++; Count++; } if (Count <= 2) { mTFreq[0] = (UINT16)(mTFreq[0] + Count); } else if (Count <= 18) { mTFreq[1]++; } else if (Count == 19) { mTFreq[0]++; mTFreq[1]++; } else { mTFreq[2]++; } } else { mTFreq[k + 2]++; } } } STATIC VOID WritePTLen ( IN INT32 n, IN INT32 nbit, IN INT32 Special ) /*++ Routine Description: Outputs the code length array for the Extra Set or the Position Set. Arguments: n - the number of symbols nbit - the number of bits needed to represent 'n' Special - the special symbol that needs to be take care of Returns: (VOID) --*/ { INT32 i, k; while (n > 0 && mPTLen[n - 1] == 0) { n--; } PutBits(nbit, n); i = 0; while (i < n) { k = mPTLen[i++]; if (k <= 6) { PutBits(3, k); } else { PutBits(k - 3, (1U << (k - 3)) - 2); } if (i == Special) { while (i < 6 && mPTLen[i] == 0) { i++; } PutBits(2, (i - 3) & 3); } } } STATIC VOID WriteCLen () /*++ Routine Description: Outputs the code length array for Char&Length Set Arguments: (VOID) Returns: (VOID) --*/ { INT32 i, k, n, Count; n = NC; while (n > 0 && mCLen[n - 1] == 0) { n--; } PutBits(CBIT, n); i = 0; while (i < n) { k = mCLen[i++]; if (k == 0) { Count = 1; while (i < n && mCLen[i] == 0) { i++; Count++; } if (Count <= 2) { for (k = 0; k < Count; k++) { PutBits(mPTLen[0], mPTCode[0]); } } else if (Count <= 18) { PutBits(mPTLen[1], mPTCode[1]); PutBits(4, Count - 3); } else if (Count == 19) { PutBits(mPTLen[0], mPTCode[0]); PutBits(mPTLen[1], mPTCode[1]); PutBits(4, 15); } else { PutBits(mPTLen[2], mPTCode[2]); PutBits(CBIT, Count - 20); } } else { PutBits(mPTLen[k + 2], mPTCode[k + 2]); } } } STATIC VOID EncodeC ( IN INT32 c ) { PutBits(mCLen[c], mCCode[c]); } STATIC VOID EncodeP ( IN UINT32 p ) { UINT32 c, q; c = 0; q = p; while (q) { q >>= 1; c++; } PutBits(mPTLen[c], mPTCode[c]); if (c > 1) { PutBits(c - 1, p & (0xFFFFU >> (17 - c))); } } STATIC VOID SendBlock () /*++ Routine Description: Huffman code the block and output it. Argument: (VOID) Returns: (VOID) --*/ { UINT32 i, k, Flags, Root, Pos, Size; Flags = 0; Root = MakeTree(NC, mCFreq, mCLen, mCCode); Size = mCFreq[Root]; PutBits(16, Size); if (Root >= NC) { CountTFreq(); Root = MakeTree(NT, mTFreq, mPTLen, mPTCode); if (Root >= NT) { WritePTLen(NT, TBIT, 3); } else { PutBits(TBIT, 0); PutBits(TBIT, Root); } WriteCLen(); } else { PutBits(TBIT, 0); PutBits(TBIT, 0); PutBits(CBIT, 0); PutBits(CBIT, Root); } Root = MakeTree(NP, mPFreq, mPTLen, mPTCode); if (Root >= NP) { WritePTLen(NP, PBIT, -1); } else { PutBits(PBIT, 0); PutBits(PBIT, Root); } Pos = 0; for (i = 0; i < Size; i++) { if (i % UINT8_BIT == 0) { Flags = mBuf[Pos++]; } else { Flags <<= 1; } if (Flags & (1U << (UINT8_BIT - 1))) { EncodeC(mBuf[Pos++] + (1U << UINT8_BIT)); k = mBuf[Pos++] << UINT8_BIT; k += mBuf[Pos++]; EncodeP(k); } else { EncodeC(mBuf[Pos++]); } } for (i = 0; i < NC; i++) { mCFreq[i] = 0; } for (i = 0; i < NP; i++) { mPFreq[i] = 0; } } STATIC VOID Output ( IN UINT32 c, IN UINT32 p ) /*++ Routine Description: Outputs an Original Character or a Pointer Arguments: c - The original character or the 'String Length' element of a Pointer p - The 'Position' field of a Pointer Returns: (VOID) --*/ { STATIC UINT32 CPos; if ((mOutputMask >>= 1) == 0) { mOutputMask = 1U << (UINT8_BIT - 1); if (mOutputPos >= mBufSiz - 3 * UINT8_BIT) { SendBlock(); mOutputPos = 0; } CPos = mOutputPos++; mBuf[CPos] = 0; } mBuf[mOutputPos++] = (UINT8) c; mCFreq[c]++; if (c >= (1U << UINT8_BIT)) { mBuf[CPos] |= mOutputMask; mBuf[mOutputPos++] = (UINT8)(p >> UINT8_BIT); mBuf[mOutputPos++] = (UINT8) p; c = 0; while (p) { p >>= 1; c++; } mPFreq[c]++; } } STATIC VOID HufEncodeStart () { INT32 i; for (i = 0; i < NC; i++) { mCFreq[i] = 0; } for (i = 0; i < NP; i++) { mPFreq[i] = 0; } mOutputPos = mOutputMask = 0; InitPutBits(); return; } STATIC VOID HufEncodeEnd () { SendBlock(); // // Flush remaining bits // PutBits(UINT8_BIT - 1, 0); return; } STATIC VOID MakeCrcTable () { UINT32 i, j, r; for (i = 0; i <= UINT8_MAX; i++) { r = i; for (j = 0; j < UINT8_BIT; j++) { if (r & 1) { r = (r >> 1) ^ CRCPOLY; } else { r >>= 1; } } mCrcTable[i] = (UINT16)r; } } STATIC VOID PutBits ( IN INT32 n, IN UINT32 x ) /*++ Routine Description: Outputs rightmost n bits of x Arguments: n - the rightmost n bits of the data is used x - the data Returns: (VOID) --*/ { UINT8 Temp; if (n < mBitCount) { mSubBitBuf |= x << (mBitCount -= n); } else { Temp = (UINT8)(mSubBitBuf | (x >> (n -= mBitCount))); if (mDst < mDstUpperLimit) { *mDst++ = Temp; } mCompSize++; if (n < UINT8_BIT) { mSubBitBuf = x << (mBitCount = UINT8_BIT - n); } else { Temp = (UINT8)(x >> (n - UINT8_BIT)); if (mDst < mDstUpperLimit) { *mDst++ = Temp; } mCompSize++; mSubBitBuf = x << (mBitCount = 2 * UINT8_BIT - n); } } } STATIC INT32 FreadCrc ( OUT UINT8 *p, IN INT32 n ) /*++ Routine Description: Read in source data Arguments: p - the buffer to hold the data n - number of bytes to read Returns: number of bytes actually read --*/ { INT32 i; for (i = 0; mSrc < mSrcUpperLimit && i < n; i++) { *p++ = *mSrc++; } n = i; p -= n; mOrigSize += n; while (--i >= 0) { UPDATE_CRC(*p++); } return n; } STATIC VOID InitPutBits () { mBitCount = UINT8_BIT; mSubBitBuf = 0; } STATIC VOID CountLen ( IN INT32 i ) /*++ Routine Description: Count the number of each code length for a Huffman tree. Arguments: i - the top node Returns: (VOID) --*/ { STATIC INT32 Depth = 0; if (i < mN) { mLenCnt[(Depth < 16) ? Depth : 16]++; } else { Depth++; CountLen(mLeft [i]); CountLen(mRight[i]); Depth--; } } STATIC VOID MakeLen ( IN INT32 Root ) /*++ Routine Description: Create code length array for a Huffman tree Arguments: Root - the root of the tree --*/ { INT32 i, k; UINT32 Cum; for (i = 0; i <= 16; i++) { mLenCnt[i] = 0; } CountLen(Root); // // Adjust the length count array so that // no code will be generated longer than its designated length // Cum = 0; for (i = 16; i > 0; i--) { Cum += mLenCnt[i] << (16 - i); } while (Cum != (1U << 16)) { mLenCnt[16]--; for (i = 15; i > 0; i--) { if (mLenCnt[i] != 0) { mLenCnt[i]--; mLenCnt[i+1] += 2; break; } } Cum--; } for (i = 16; i > 0; i--) { k = mLenCnt[i]; while (--k >= 0) { mLen[*mSortPtr++] = (UINT8)i; } } } STATIC VOID DownHeap ( IN INT32 i ) { INT32 j, k; // // priority queue: send i-th entry down heap // k = mHeap[i]; while ((j = 2 * i) <= mHeapSize) { if (j < mHeapSize && mFreq[mHeap[j]] > mFreq[mHeap[j + 1]]) { j++; } if (mFreq[k] <= mFreq[mHeap[j]]) { break; } mHeap[i] = mHeap[j]; i = j; } mHeap[i] = (INT16)k; } STATIC VOID MakeCode ( IN INT32 n, IN UINT8 Len[], OUT UINT16 Code[] ) /*++ Routine Description: Assign code to each symbol based on the code length array Arguments: n - number of symbols Len - the code length array Code - stores codes for each symbol Returns: (VOID) --*/ { INT32 i; UINT16 Start[18]; Start[1] = 0; for (i = 1; i <= 16; i++) { Start[i + 1] = (UINT16)((Start[i] + mLenCnt[i]) << 1); } for (i = 0; i < n; i++) { Code[i] = Start[Len[i]]++; } } STATIC INT32 MakeTree ( IN INT32 NParm, IN UINT16 FreqParm[], OUT UINT8 LenParm[], OUT UINT16 CodeParm[] ) /*++ Routine Description: Generates Huffman codes given a frequency distribution of symbols Arguments: NParm - number of symbols FreqParm - frequency of each symbol LenParm - code length for each symbol CodeParm - code for each symbol Returns: Root of the Huffman tree. --*/ { INT32 i, j, k, Avail; // // make tree, calculate len[], return root // mN = NParm; mFreq = FreqParm; mLen = LenParm; Avail = mN; mHeapSize = 0; mHeap[1] = 0; for (i = 0; i < mN; i++) { mLen[i] = 0; if (mFreq[i]) { mHeap[++mHeapSize] = (INT16)i; } } if (mHeapSize < 2) { CodeParm[mHeap[1]] = 0; return mHeap[1]; } for (i = mHeapSize / 2; i >= 1; i--) { // // make priority queue // DownHeap(i); } mSortPtr = CodeParm; do { i = mHeap[1]; if (i < mN) { *mSortPtr++ = (UINT16)i; } mHeap[1] = mHeap[mHeapSize--]; DownHeap(1); j = mHeap[1]; if (j < mN) { *mSortPtr++ = (UINT16)j; } k = Avail++; mFreq[k] = (UINT16)(mFreq[i] + mFreq[j]); mHeap[1] = (INT16)k; DownHeap(1); mLeft[k] = (UINT16)i; mRight[k] = (UINT16)j; } while (mHeapSize > 1); mSortPtr = CodeParm; MakeLen(k); MakeCode(NParm, LenParm, CodeParm); // // return root // return k; }