// Copyright (c) the JPEG XL Project Authors. All rights reserved. // // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file.
// First, all trailing non-occurring symbols are removed from the distribution; // if this leaves the distribution empty, a placeholder symbol with max weight // is added. This ensures that the resulting distribution sums to total table // size. Then, `entry_size` is chosen to be the largest power of two so that // `table_size` = ANS_TAB_SIZE/`entry_size` is at least as big as the // distribution size. // Note that each entry will only ever contain two different symbols, and // consecutive ranges of offsets, which allows us to use a compact // representation. // Each entry is initialized with only the (symbol=i, offset) pairs; then // positions for which the entry overflows (i.e. distribution[i] > entry_size) // or is not full are computed, and put into a stack in increasing order. // Missing symbols in the distribution are padded with 0 (because `table_size` // >= number of symbols). The `cutoff` value for each entry is initialized to // the number of occupied slots in that entry (i.e. `distributions[i]`). While // the overflowing-symbol stack is not empty (which implies that the // underflowing-symbol stack also is not), the top overfull and underfull // positions are popped from the stack; the empty slots in the underfull entry // are then filled with as many slots as needed from the overfull entry; such // slots are placed after the slots in the overfull entry, and `offsets[1]` is // computed accordingly. The formerly underfull entry is thus now neither // underfull nor overfull, and represents exactly two symbols. The overfull // entry might be either overfull or underfull, and is pushed into the // corresponding stack.
Status InitAliasTable(std::vector<int32_t> distribution, uint32_t log_range,
size_t log_alpha_size,
AliasTable::Entry* JXL_RESTRICT a) { const uint32_t range = 1 << log_range; const size_t table_size = 1 << log_alpha_size;
JXL_ENSURE(table_size <= range); while (!distribution.empty() && distribution.back() == 0) {
distribution.pop_back();
} // Ensure that a valid table is always returned, even for an empty // alphabet. Otherwise, a specially-crafted stream might crash the // decoder. if (distribution.empty()) {
distribution.emplace_back(range);
}
JXL_ENSURE(distribution.size() <= table_size); const uint32_t entry_size = range >> log_alpha_size; // this is exact int single_symbol = -1; int sum = 0; // Special case for single-symbol distributions, that ensures that the state // does not change when decoding from such a distribution. Note that, since we // hardcode offset0 == 0, it is not straightforward (if at all possible) to // fix the general case to produce this result. for (size_t sym = 0; sym < distribution.size(); sym++) {
int32_t v = distribution[sym];
sum += v; if (v == ANS_TAB_SIZE) {
JXL_ENSURE(single_symbol == -1);
single_symbol = sym;
}
}
JXL_ENSURE(static_cast<uint32_t>(sum) == range); if (single_symbol != -1) {
uint8_t sym = single_symbol;
JXL_ENSURE(single_symbol == sym); for (size_t i = 0; i < table_size; i++) {
a[i].right_value = sym;
a[i].cutoff = 0;
a[i].offsets1 = entry_size * i;
a[i].freq0 = 0;
a[i].freq1_xor_freq0 = ANS_TAB_SIZE;
} returntrue;
}
std::vector<uint32_t> underfull_posn;
std::vector<uint32_t> overfull_posn;
std::vector<uint32_t> cutoffs(1 << log_alpha_size); // Initialize entries. for (size_t i = 0; i < distribution.size(); i++) {
cutoffs[i] = distribution[i]; if (cutoffs[i] > entry_size) {
overfull_posn.push_back(i);
} elseif (cutoffs[i] < entry_size) {
underfull_posn.push_back(i);
}
} for (uint32_t i = distribution.size(); i < table_size; i++) {
cutoffs[i] = 0;
underfull_posn.push_back(i);
} // Reassign overflow/underflow values. while (!overfull_posn.empty()) {
uint32_t overfull_i = overfull_posn.back();
overfull_posn.pop_back();
JXL_ENSURE(!underfull_posn.empty());
uint32_t underfull_i = underfull_posn.back();
underfull_posn.pop_back();
uint32_t underfull_by = entry_size - cutoffs[underfull_i];
cutoffs[overfull_i] -= underfull_by; // overfull positions have their original symbols
a[underfull_i].right_value = overfull_i;
a[underfull_i].offsets1 = cutoffs[overfull_i]; // Slots in the right part of entry underfull_i were taken from the end // of the symbols in entry overfull_i. if (cutoffs[overfull_i] < entry_size) {
underfull_posn.push_back(overfull_i);
} elseif (cutoffs[overfull_i] > entry_size) {
overfull_posn.push_back(overfull_i);
}
} for (uint32_t i = 0; i < table_size; i++) { // cutoffs[i] is properly initialized but the clang-analyzer doesn't infer // it since it is partially initialized across two for-loops. // NOLINTNEXTLINE(clang-analyzer-core.UndefinedBinaryOperatorResult) if (cutoffs[i] == entry_size) {
a[i].right_value = i;
a[i].offsets1 = 0;
a[i].cutoff = 0;
} else { // Note that, if cutoff is not equal to entry_size, // a[i].offsets1 was initialized with (overfull cutoff) - // (entry_size - a[i].cutoff). Thus, subtracting // a[i].cutoff cannot make it negative.
a[i].offsets1 -= cutoffs[i];
a[i].cutoff = cutoffs[i];
} const size_t freq0 = i < distribution.size() ? distribution[i] : 0; const size_t i1 = a[i].right_value; const size_t freq1 = i1 < distribution.size() ? distribution[i1] : 0;
a[i].freq0 = static_cast<uint16_t>(freq0);
a[i].freq1_xor_freq0 = static_cast<uint16_t>(freq1 ^ freq0);
} returntrue;
}
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