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Diffstat (limited to 'extern/draco/dracoenc/src/draco/compression/entropy/ans.h')
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+// Copyright 2016 The Draco Authors.
+//
+// Licensed 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.
+//
+#ifndef DRACO_CORE_ANS_H_
+#define DRACO_CORE_ANS_H_
+// An implementation of Asymmetric Numeral Systems (rANS).
+// See http://arxiv.org/abs/1311.2540v2 for more information on rANS.
+// This file is based off libvpx's ans.h.
+
+#include <vector>
+
+#define ANS_DIVIDE_BY_MULTIPLY 1
+#if ANS_DIVIDE_BY_MULTIPLY
+#include "draco/core/divide.h"
+#endif
+#include "draco/core/macros.h"
+
+namespace draco {
+
+#if ANS_DIVIDE_BY_MULTIPLY
+
+#define ANS_DIVREM(quotient, remainder, dividend, divisor) \
+ do { \
+ quotient = fastdiv(dividend, divisor); \
+ remainder = dividend - quotient * divisor; \
+ } while (0)
+#define ANS_DIV(dividend, divisor) fastdiv(dividend, divisor)
+#else
+#define ANS_DIVREM(quotient, remainder, dividend, divisor) \
+ do { \
+ quotient = dividend / divisor; \
+ remainder = dividend % divisor; \
+ } while (0)
+#define ANS_DIV(dividend, divisor) ((dividend) / (divisor))
+#endif
+
+struct AnsCoder {
+ AnsCoder() : buf(nullptr), buf_offset(0), state(0) {}
+ uint8_t *buf;
+ int buf_offset;
+ uint32_t state;
+};
+
+struct AnsDecoder {
+ AnsDecoder() : buf(nullptr), buf_offset(0), state(0) {}
+ const uint8_t *buf;
+ int buf_offset;
+ uint32_t state;
+};
+
+typedef uint8_t AnsP8;
+#define ans_p8_precision 256u
+#define ans_p8_shift 8
+#define ans_p10_precision 1024u
+
+#define l_base (ans_p10_precision * 4) // l_base % precision must be 0
+#define io_base 256
+// Range I = { l_base, l_base + 1, ..., l_base * io_base - 1 }
+
+static uint32_t mem_get_le16(const void *vmem) {
+ uint32_t val;
+ const uint8_t *mem = (const uint8_t *)vmem;
+
+ val = mem[1] << 8;
+ val |= mem[0];
+ return val;
+}
+
+static uint32_t mem_get_le24(const void *vmem) {
+ uint32_t val;
+ const uint8_t *mem = (const uint8_t *)vmem;
+
+ val = mem[2] << 16;
+ val |= mem[1] << 8;
+ val |= mem[0];
+ return val;
+}
+
+static inline uint32_t mem_get_le32(const void *vmem) {
+ uint32_t val;
+ const uint8_t *mem = (const uint8_t *)vmem;
+
+ val = mem[3] << 24;
+ val |= mem[2] << 16;
+ val |= mem[1] << 8;
+ val |= mem[0];
+ return val;
+}
+
+static inline void mem_put_le16(void *vmem, uint32_t val) {
+ uint8_t *mem = reinterpret_cast<uint8_t *>(vmem);
+
+ mem[0] = (val >> 0) & 0xff;
+ mem[1] = (val >> 8) & 0xff;
+}
+
+static inline void mem_put_le24(void *vmem, uint32_t val) {
+ uint8_t *mem = reinterpret_cast<uint8_t *>(vmem);
+
+ mem[0] = (val >> 0) & 0xff;
+ mem[1] = (val >> 8) & 0xff;
+ mem[2] = (val >> 16) & 0xff;
+}
+
+static inline void mem_put_le32(void *vmem, uint32_t val) {
+ uint8_t *mem = reinterpret_cast<uint8_t *>(vmem);
+
+ mem[0] = (val >> 0) & 0xff;
+ mem[1] = (val >> 8) & 0xff;
+ mem[2] = (val >> 16) & 0xff;
+ mem[3] = (val >> 24) & 0xff;
+}
+
+static inline void ans_write_init(struct AnsCoder *const ans,
+ uint8_t *const buf) {
+ ans->buf = buf;
+ ans->buf_offset = 0;
+ ans->state = l_base;
+}
+
+static inline int ans_write_end(struct AnsCoder *const ans) {
+ uint32_t state;
+ DRACO_DCHECK_GE(ans->state, l_base);
+ DRACO_DCHECK_LT(ans->state, l_base * io_base);
+ state = ans->state - l_base;
+ if (state < (1 << 6)) {
+ ans->buf[ans->buf_offset] = (0x00 << 6) + state;
+ return ans->buf_offset + 1;
+ } else if (state < (1 << 14)) {
+ mem_put_le16(ans->buf + ans->buf_offset, (0x01 << 14) + state);
+ return ans->buf_offset + 2;
+ } else if (state < (1 << 22)) {
+ mem_put_le24(ans->buf + ans->buf_offset, (0x02 << 22) + state);
+ return ans->buf_offset + 3;
+ } else {
+ DRACO_DCHECK(0 && "State is too large to be serialized");
+ return ans->buf_offset;
+ }
+}
+
+// rABS with descending spread
+// p or p0 takes the place of l_s from the paper
+// ans_p8_precision is m
+static inline void rabs_desc_write(struct AnsCoder *ans, int val, AnsP8 p0) {
+ const AnsP8 p = ans_p8_precision - p0;
+ const unsigned l_s = val ? p : p0;
+ unsigned quot, rem;
+ if (ans->state >= l_base / ans_p8_precision * io_base * l_s) {
+ ans->buf[ans->buf_offset++] = ans->state % io_base;
+ ans->state /= io_base;
+ }
+ ANS_DIVREM(quot, rem, ans->state, l_s);
+ ans->state = quot * ans_p8_precision + rem + (val ? 0 : p);
+}
+
+#define ANS_IMPL1 0
+#define UNPREDICTABLE(x) x
+static inline int rabs_desc_read(struct AnsDecoder *ans, AnsP8 p0) {
+ int val;
+#if ANS_IMPL1
+ unsigned l_s;
+#else
+ unsigned quot, rem, x, xn;
+#endif
+ const AnsP8 p = ans_p8_precision - p0;
+ if (ans->state < l_base && ans->buf_offset > 0) {
+ ans->state = ans->state * io_base + ans->buf[--ans->buf_offset];
+ }
+#if ANS_IMPL1
+ val = ans->state % ans_p8_precision < p;
+ l_s = val ? p : p0;
+ ans->state = (ans->state / ans_p8_precision) * l_s +
+ ans->state % ans_p8_precision - (!val * p);
+#else
+ x = ans->state;
+ quot = x / ans_p8_precision;
+ rem = x % ans_p8_precision;
+ xn = quot * p;
+ val = rem < p;
+ if (UNPREDICTABLE(val)) {
+ ans->state = xn + rem;
+ } else {
+ // ans->state = quot * p0 + rem - p;
+ ans->state = x - xn - p;
+ }
+#endif
+ return val;
+}
+
+// rABS with ascending spread
+// p or p0 takes the place of l_s from the paper
+// ans_p8_precision is m
+static inline void rabs_asc_write(struct AnsCoder *ans, int val, AnsP8 p0) {
+ const AnsP8 p = ans_p8_precision - p0;
+ const unsigned l_s = val ? p : p0;
+ unsigned quot, rem;
+ if (ans->state >= l_base / ans_p8_precision * io_base * l_s) {
+ ans->buf[ans->buf_offset++] = ans->state % io_base;
+ ans->state /= io_base;
+ }
+ ANS_DIVREM(quot, rem, ans->state, l_s);
+ ans->state = quot * ans_p8_precision + rem + (val ? p0 : 0);
+}
+
+static inline int rabs_asc_read(struct AnsDecoder *ans, AnsP8 p0) {
+ int val;
+#if ANS_IMPL1
+ unsigned l_s;
+#else
+ unsigned quot, rem, x, xn;
+#endif
+ const AnsP8 p = ans_p8_precision - p0;
+ if (ans->state < l_base) {
+ ans->state = ans->state * io_base + ans->buf[--ans->buf_offset];
+ }
+#if ANS_IMPL1
+ val = ans->state % ans_p8_precision < p;
+ l_s = val ? p : p0;
+ ans->state = (ans->state / ans_p8_precision) * l_s +
+ ans->state % ans_p8_precision - (!val * p);
+#else
+ x = ans->state;
+ quot = x / ans_p8_precision;
+ rem = x % ans_p8_precision;
+ xn = quot * p;
+ val = rem >= p0;
+ if (UNPREDICTABLE(val)) {
+ ans->state = xn + rem - p0;
+ } else {
+ // ans->state = quot * p0 + rem - p0;
+ ans->state = x - xn;
+ }
+#endif
+ return val;
+}
+
+#define rabs_read rabs_desc_read
+#define rabs_write rabs_desc_write
+
+// uABS with normalization
+static inline void uabs_write(struct AnsCoder *ans, int val, AnsP8 p0) {
+ AnsP8 p = ans_p8_precision - p0;
+ const unsigned l_s = val ? p : p0;
+ while (ans->state >= l_base / ans_p8_precision * io_base * l_s) {
+ ans->buf[ans->buf_offset++] = ans->state % io_base;
+ ans->state /= io_base;
+ }
+ if (!val)
+ ans->state = ANS_DIV(ans->state * ans_p8_precision, p0);
+ else
+ ans->state = ANS_DIV((ans->state + 1) * ans_p8_precision + p - 1, p) - 1;
+}
+
+static inline int uabs_read(struct AnsDecoder *ans, AnsP8 p0) {
+ AnsP8 p = ans_p8_precision - p0;
+ int s;
+ // unsigned int xp1;
+ unsigned xp, sp;
+ unsigned state = ans->state;
+ while (state < l_base && ans->buf_offset > 0) {
+ state = state * io_base + ans->buf[--ans->buf_offset];
+ }
+ sp = state * p;
+ // xp1 = (sp + p) / ans_p8_precision;
+ xp = sp / ans_p8_precision;
+ // s = xp1 - xp;
+ s = (sp & 0xFF) >= p0;
+ if (UNPREDICTABLE(s))
+ ans->state = xp;
+ else
+ ans->state = state - xp;
+ return s;
+}
+
+static inline int uabs_read_bit(struct AnsDecoder *ans) {
+ int s;
+ unsigned state = ans->state;
+ while (state < l_base && ans->buf_offset > 0) {
+ state = state * io_base + ans->buf[--ans->buf_offset];
+ }
+ s = static_cast<int>(state & 1);
+ ans->state = state >> 1;
+ return s;
+}
+
+static inline int ans_read_init(struct AnsDecoder *const ans,
+ const uint8_t *const buf, int offset) {
+ unsigned x;
+ if (offset < 1)
+ return 1;
+ ans->buf = buf;
+ x = buf[offset - 1] >> 6;
+ if (x == 0) {
+ ans->buf_offset = offset - 1;
+ ans->state = buf[offset - 1] & 0x3F;
+ } else if (x == 1) {
+ if (offset < 2)
+ return 1;
+ ans->buf_offset = offset - 2;
+ ans->state = mem_get_le16(buf + offset - 2) & 0x3FFF;
+ } else if (x == 2) {
+ if (offset < 3)
+ return 1;
+ ans->buf_offset = offset - 3;
+ ans->state = mem_get_le24(buf + offset - 3) & 0x3FFFFF;
+ } else {
+ return 1;
+ }
+ ans->state += l_base;
+ if (ans->state >= l_base * io_base)
+ return 1;
+ return 0;
+}
+
+static inline int ans_read_end(struct AnsDecoder *const ans) {
+ return ans->state == l_base;
+}
+
+static inline int ans_reader_has_error(const struct AnsDecoder *const ans) {
+ return ans->state < l_base && ans->buf_offset == 0;
+}
+
+struct rans_sym {
+ uint32_t prob;
+ uint32_t cum_prob; // not-inclusive
+};
+
+// Class for performing rANS encoding using a desired number of precision bits.
+// The max number of precision bits is currently 19. The actual number of
+// symbols in the input alphabet should be (much) smaller than that, otherwise
+// the compression rate may suffer.
+template <int rans_precision_bits_t>
+class RAnsEncoder {
+ public:
+ RAnsEncoder() {}
+
+ // Provides the input buffer where the data is going to be stored.
+ inline void write_init(uint8_t *const buf) {
+ ans_.buf = buf;
+ ans_.buf_offset = 0;
+ ans_.state = l_rans_base;
+ }
+
+ // Needs to be called after all symbols are encoded.
+ inline int write_end() {
+ uint32_t state;
+ DRACO_DCHECK_GE(ans_.state, l_rans_base);
+ DRACO_DCHECK_LT(ans_.state, l_rans_base * io_base);
+ state = ans_.state - l_rans_base;
+ if (state < (1 << 6)) {
+ ans_.buf[ans_.buf_offset] = (0x00 << 6) + state;
+ return ans_.buf_offset + 1;
+ } else if (state < (1 << 14)) {
+ mem_put_le16(ans_.buf + ans_.buf_offset, (0x01 << 14) + state);
+ return ans_.buf_offset + 2;
+ } else if (state < (1 << 22)) {
+ mem_put_le24(ans_.buf + ans_.buf_offset, (0x02 << 22) + state);
+ return ans_.buf_offset + 3;
+ } else if (state < (1 << 30)) {
+ mem_put_le32(ans_.buf + ans_.buf_offset, (0x03u << 30u) + state);
+ return ans_.buf_offset + 4;
+ } else {
+ DRACO_DCHECK(0 && "State is too large to be serialized");
+ return ans_.buf_offset;
+ }
+ }
+
+ // rANS with normalization
+ // sym->prob takes the place of l_s from the paper
+ // rans_precision is m
+ inline void rans_write(const struct rans_sym *const sym) {
+ const uint32_t p = sym->prob;
+ while (ans_.state >= l_rans_base / rans_precision * io_base * p) {
+ ans_.buf[ans_.buf_offset++] = ans_.state % io_base;
+ ans_.state /= io_base;
+ }
+ // TODO(ostava): The division and multiplication should be optimized.
+ ans_.state =
+ (ans_.state / p) * rans_precision + ans_.state % p + sym->cum_prob;
+ }
+
+ private:
+ static constexpr int rans_precision = 1 << rans_precision_bits_t;
+ static constexpr int l_rans_base = rans_precision * 4;
+ AnsCoder ans_;
+};
+
+struct rans_dec_sym {
+ uint32_t val;
+ uint32_t prob;
+ uint32_t cum_prob; // not-inclusive
+};
+
+// Class for performing rANS decoding using a desired number of precision bits.
+// The number of precision bits needs to be the same as with the RAnsEncoder
+// that was used to encode the input data.
+template <int rans_precision_bits_t>
+class RAnsDecoder {
+ public:
+ RAnsDecoder() {}
+
+ // Initializes the decoder from the input buffer. The |offset| specifies the
+ // number of bytes encoded by the encoder. A non zero return value is an
+ // error.
+ inline int read_init(const uint8_t *const buf, int offset) {
+ unsigned x;
+ if (offset < 1)
+ return 1;
+ ans_.buf = buf;
+ x = buf[offset - 1] >> 6;
+ if (x == 0) {
+ ans_.buf_offset = offset - 1;
+ ans_.state = buf[offset - 1] & 0x3F;
+ } else if (x == 1) {
+ if (offset < 2)
+ return 1;
+ ans_.buf_offset = offset - 2;
+ ans_.state = mem_get_le16(buf + offset - 2) & 0x3FFF;
+ } else if (x == 2) {
+ if (offset < 3)
+ return 1;
+ ans_.buf_offset = offset - 3;
+ ans_.state = mem_get_le24(buf + offset - 3) & 0x3FFFFF;
+ } else if (x == 3) {
+ ans_.buf_offset = offset - 4;
+ ans_.state = mem_get_le32(buf + offset - 4) & 0x3FFFFFFF;
+ } else {
+ return 1;
+ }
+ ans_.state += l_rans_base;
+ if (ans_.state >= l_rans_base * io_base)
+ return 1;
+ return 0;
+ }
+
+ inline int read_end() { return ans_.state == l_rans_base; }
+
+ inline int reader_has_error() {
+ return ans_.state < l_rans_base && ans_.buf_offset == 0;
+ }
+
+ inline int rans_read() {
+ unsigned rem;
+ unsigned quo;
+ struct rans_dec_sym sym;
+ while (ans_.state < l_rans_base && ans_.buf_offset > 0) {
+ ans_.state = ans_.state * io_base + ans_.buf[--ans_.buf_offset];
+ }
+ // |rans_precision| is a power of two compile time constant, and the below
+ // division and modulo are going to be optimized by the compiler.
+ quo = ans_.state / rans_precision;
+ rem = ans_.state % rans_precision;
+ fetch_sym(&sym, rem);
+ ans_.state = quo * sym.prob + rem - sym.cum_prob;
+ return sym.val;
+ }
+
+ // Construct a lookup table with |rans_precision| number of entries.
+ // Returns false if the table couldn't be built (because of wrong input data).
+ inline bool rans_build_look_up_table(const uint32_t token_probs[],
+ uint32_t num_symbols) {
+ lut_table_.resize(rans_precision);
+ probability_table_.resize(num_symbols);
+ uint32_t cum_prob = 0;
+ uint32_t act_prob = 0;
+ for (uint32_t i = 0; i < num_symbols; ++i) {
+ probability_table_[i].prob = token_probs[i];
+ probability_table_[i].cum_prob = cum_prob;
+ cum_prob += token_probs[i];
+ if (cum_prob > rans_precision) {
+ return false;
+ }
+ for (uint32_t j = act_prob; j < cum_prob; ++j) {
+ lut_table_[j] = i;
+ }
+ act_prob = cum_prob;
+ }
+ if (cum_prob != rans_precision) {
+ return false;
+ }
+ return true;
+ }
+
+ private:
+ inline void fetch_sym(struct rans_dec_sym *out, uint32_t rem) {
+ uint32_t symbol = lut_table_[rem];
+ out->val = symbol;
+ out->prob = probability_table_[symbol].prob;
+ out->cum_prob = probability_table_[symbol].cum_prob;
+ }
+
+ static constexpr int rans_precision = 1 << rans_precision_bits_t;
+ static constexpr int l_rans_base = rans_precision * 4;
+ std::vector<uint32_t> lut_table_;
+ std::vector<rans_sym> probability_table_;
+ AnsDecoder ans_;
+};
+
+#undef ANS_DIVREM
+
+} // namespace draco
+
+#endif // DRACO_CORE_ANS_H_