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- // File: crn_huffman_codes.cpp
- // See Copyright Notice and license at the end of inc/crnlib.h
- #include "crn_core.h"
- #include "crn_huffman_codes.h"
- namespace crnlib
- {
- struct sym_freq
- {
- uint m_freq;
- uint16 m_left;
- uint16 m_right;
- inline bool operator< (const sym_freq& other) const
- {
- return m_freq > other.m_freq;
- }
- };
-
- static inline sym_freq* radix_sort_syms(uint num_syms, sym_freq* syms0, sym_freq* syms1)
- {
- const uint cMaxPasses = 2;
- uint hist[256 * cMaxPasses];
-
- memset(hist, 0, sizeof(hist[0]) * 256 * cMaxPasses);
- sym_freq* p = syms0;
- sym_freq* q = syms0 + (num_syms >> 1) * 2;
- for ( ; p != q; p += 2)
- {
- const uint freq0 = p[0].m_freq;
- const uint freq1 = p[1].m_freq;
- hist[ freq0 & 0xFF]++;
- hist[256 + ((freq0 >> 8) & 0xFF)]++;
- hist[ freq1 & 0xFF]++;
- hist[256 + ((freq1 >> 8) & 0xFF)]++;
- }
- if (num_syms & 1)
- {
- const uint freq = p->m_freq;
- hist[ freq & 0xFF]++;
- hist[256 + ((freq >> 8) & 0xFF)]++;
- }
-
- sym_freq* pCur_syms = syms0;
- sym_freq* pNew_syms = syms1;
- for (uint pass = 0; pass < cMaxPasses; pass++)
- {
- const uint* pHist = &hist[pass << 8];
- uint offsets[256];
- uint cur_ofs = 0;
- for (uint i = 0; i < 256; i += 2)
- {
- offsets[i] = cur_ofs;
- cur_ofs += pHist[i];
- offsets[i+1] = cur_ofs;
- cur_ofs += pHist[i+1];
- }
- const uint pass_shift = pass << 3;
- sym_freq* p = pCur_syms;
- sym_freq* q = pCur_syms + (num_syms >> 1) * 2;
- for ( ; p != q; p += 2)
- {
- uint c0 = p[0].m_freq;
- uint c1 = p[1].m_freq;
-
- if (pass)
- {
- c0 >>= 8;
- c1 >>= 8;
- }
-
- c0 &= 0xFF;
- c1 &= 0xFF;
- if (c0 == c1)
- {
- uint dst_offset0 = offsets[c0];
- offsets[c0] = dst_offset0 + 2;
- pNew_syms[dst_offset0] = p[0];
- pNew_syms[dst_offset0 + 1] = p[1];
- }
- else
- {
- uint dst_offset0 = offsets[c0]++;
- uint dst_offset1 = offsets[c1]++;
- pNew_syms[dst_offset0] = p[0];
- pNew_syms[dst_offset1] = p[1];
- }
- }
- if (num_syms & 1)
- {
- uint c = ((p->m_freq) >> pass_shift) & 0xFF;
- uint dst_offset = offsets[c];
- offsets[c] = dst_offset + 1;
- pNew_syms[dst_offset] = *p;
- }
- sym_freq* t = pCur_syms;
- pCur_syms = pNew_syms;
- pNew_syms = t;
- }
- #ifdef CRNLIB_ASSERTS_ENABLED
- uint prev_freq = 0;
- for (uint i = 0; i < num_syms; i++)
- {
- CRNLIB_ASSERT(!(pCur_syms[i].m_freq < prev_freq));
- prev_freq = pCur_syms[i].m_freq;
- }
- #endif
-
- return pCur_syms;
- }
-
- struct huffman_work_tables
- {
- enum { cMaxInternalNodes = cHuffmanMaxSupportedSyms };
-
- sym_freq syms0[cHuffmanMaxSupportedSyms + 1 + cMaxInternalNodes];
- sym_freq syms1[cHuffmanMaxSupportedSyms + 1 + cMaxInternalNodes];
-
- uint16 queue[cMaxInternalNodes];
- };
-
- void* create_generate_huffman_codes_tables()
- {
- return crnlib_new<huffman_work_tables>();
- }
-
- void free_generate_huffman_codes_tables(void* p)
- {
- crnlib_delete(static_cast<huffman_work_tables*>(p));
- }
- #if USE_CALCULATE_MINIMUM_REDUNDANCY
- /* calculate_minimum_redundancy() written by
- Alistair Moffat, [email protected],
- Jyrki Katajainen, [email protected]
- November 1996.
- */
- static void calculate_minimum_redundancy(int A[], int n) {
- int root; /* next root node to be used */
- int leaf; /* next leaf to be used */
- int next; /* next value to be assigned */
- int avbl; /* number of available nodes */
- int used; /* number of internal nodes */
- int dpth; /* current depth of leaves */
- /* check for pathological cases */
- if (n==0) { return; }
- if (n==1) { A[0] = 0; return; }
- /* first pass, left to right, setting parent pointers */
- A[0] += A[1]; root = 0; leaf = 2;
- for (next=1; next < n-1; next++) {
- /* select first item for a pairing */
- if (leaf>=n || A[root]<A[leaf]) {
- A[next] = A[root]; A[root++] = next;
- } else
- A[next] = A[leaf++];
- /* add on the second item */
- if (leaf>=n || (root<next && A[root]<A[leaf])) {
- A[next] += A[root]; A[root++] = next;
- } else
- A[next] += A[leaf++];
- }
- /* second pass, right to left, setting internal depths */
- A[n-2] = 0;
- for (next=n-3; next>=0; next--)
- A[next] = A[A[next]]+1;
- /* third pass, right to left, setting leaf depths */
- avbl = 1; used = dpth = 0; root = n-2; next = n-1;
- while (avbl>0) {
- while (root>=0 && A[root]==dpth) {
- used++; root--;
- }
- while (avbl>used) {
- A[next--] = dpth; avbl--;
- }
- avbl = 2*used; dpth++; used = 0;
- }
- }
- #endif
-
- bool generate_huffman_codes(void* pContext, uint num_syms, const uint16* pFreq, uint8* pCodesizes, uint& max_code_size, uint& total_freq_ret)
- {
- if ((!num_syms) || (num_syms > cHuffmanMaxSupportedSyms))
- return false;
-
- huffman_work_tables& state = *static_cast<huffman_work_tables*>(pContext);;
-
- uint max_freq = 0;
- uint total_freq = 0;
-
- uint num_used_syms = 0;
- for (uint i = 0; i < num_syms; i++)
- {
- uint freq = pFreq[i];
-
- if (!freq)
- pCodesizes[i] = 0;
- else
- {
- total_freq += freq;
- max_freq = math::maximum(max_freq, freq);
-
- sym_freq& sf = state.syms0[num_used_syms];
- sf.m_left = (uint16)i;
- sf.m_right = cUINT16_MAX;
- sf.m_freq = freq;
- num_used_syms++;
- }
- }
-
- total_freq_ret = total_freq;
- if (num_used_syms == 1)
- {
- pCodesizes[state.syms0[0].m_left] = 1;
- return true;
- }
- sym_freq* syms = radix_sort_syms(num_used_syms, state.syms0, state.syms1);
- #if USE_CALCULATE_MINIMUM_REDUNDANCY
- int x[cHuffmanMaxSupportedSyms];
- for (uint i = 0; i < num_used_syms; i++)
- x[i] = state.syms0[i].m_freq;
-
- calculate_minimum_redundancy(x, num_used_syms);
-
- uint max_len = 0;
- for (uint i = 0; i < num_used_syms; i++)
- {
- uint len = x[i];
- max_len = math::maximum(len, max_len);
- pCodesizes[state.syms0[i].m_left] = static_cast<uint8>(len);
- }
-
- return true;
- #else
- // Dummy node
- sym_freq& sf = state.syms0[num_used_syms];
- sf.m_left = cUINT16_MAX;
- sf.m_right = cUINT16_MAX;
- sf.m_freq = UINT_MAX;
-
- uint next_internal_node = num_used_syms + 1;
-
- uint queue_front = 0;
- uint queue_end = 0;
-
- uint next_lowest_sym = 0;
-
- uint num_nodes_remaining = num_used_syms;
- do
- {
- uint left_freq = syms[next_lowest_sym].m_freq;
- uint left_child = next_lowest_sym;
-
- if ((queue_end > queue_front) && (syms[state.queue[queue_front]].m_freq < left_freq))
- {
- left_child = state.queue[queue_front];
- left_freq = syms[left_child].m_freq;
-
- queue_front++;
- }
- else
- next_lowest_sym++;
-
- uint right_freq = syms[next_lowest_sym].m_freq;
- uint right_child = next_lowest_sym;
- if ((queue_end > queue_front) && (syms[state.queue[queue_front]].m_freq < right_freq))
- {
- right_child = state.queue[queue_front];
- right_freq = syms[right_child].m_freq;
-
- queue_front++;
- }
- else
- next_lowest_sym++;
-
- const uint internal_node_index = next_internal_node;
- next_internal_node++;
- CRNLIB_ASSERT(next_internal_node < CRNLIB_ARRAYSIZE(state.syms0));
-
- syms[internal_node_index].m_freq = left_freq + right_freq;
- syms[internal_node_index].m_left = static_cast<uint16>(left_child);
- syms[internal_node_index].m_right = static_cast<uint16>(right_child);
-
- CRNLIB_ASSERT(queue_end < huffman_work_tables::cMaxInternalNodes);
- state.queue[queue_end] = static_cast<uint16>(internal_node_index);
- queue_end++;
-
- num_nodes_remaining--;
-
- } while (num_nodes_remaining > 1);
-
- CRNLIB_ASSERT(next_lowest_sym == num_used_syms);
- CRNLIB_ASSERT((queue_end - queue_front) == 1);
-
- uint cur_node_index = state.queue[queue_front];
-
- uint32* pStack = (syms == state.syms0) ? (uint32*)state.syms1 : (uint32*)state.syms0;
- uint32* pStack_top = pStack;
- uint max_level = 0;
-
- for ( ; ; )
- {
- uint level = cur_node_index >> 16;
- uint node_index = cur_node_index & 0xFFFF;
-
- uint left_child = syms[node_index].m_left;
- uint right_child = syms[node_index].m_right;
-
- uint next_level = (cur_node_index + 0x10000) & 0xFFFF0000;
-
- if (left_child < num_used_syms)
- {
- max_level = math::maximum(max_level, level);
-
- pCodesizes[syms[left_child].m_left] = static_cast<uint8>(level + 1);
-
- if (right_child < num_used_syms)
- {
- pCodesizes[syms[right_child].m_left] = static_cast<uint8>(level + 1);
-
- if (pStack == pStack_top) break;
- cur_node_index = *--pStack;
- }
- else
- {
- cur_node_index = next_level | right_child;
- }
- }
- else
- {
- if (right_child < num_used_syms)
- {
- max_level = math::maximum(max_level, level);
-
- pCodesizes[syms[right_child].m_left] = static_cast<uint8>(level + 1);
-
- cur_node_index = next_level | left_child;
- }
- else
- {
- *pStack++ = next_level | left_child;
-
- cur_node_index = next_level | right_child;
- }
- }
- }
-
- max_code_size = max_level + 1;
- #endif
-
- return true;
- }
- } // namespace crnlib
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