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+// 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.
+
+#ifndef LIB_JXL_QUANTIZER_H_
+#define LIB_JXL_QUANTIZER_H_
+
+#include <stddef.h>
+#include <stdint.h>
+#include <stdlib.h>
+
+#include <algorithm>
+#include <cmath>
+#include <utility>
+#include <vector>
+
+#include "lib/jxl/ac_strategy.h"
+#include "lib/jxl/base/bits.h"
+#include "lib/jxl/base/compiler_specific.h"
+#include "lib/jxl/base/profiler.h"
+#include "lib/jxl/base/status.h"
+#include "lib/jxl/common.h"
+#include "lib/jxl/dct_util.h"
+#include "lib/jxl/dec_bit_reader.h"
+#include "lib/jxl/fields.h"
+#include "lib/jxl/image.h"
+#include "lib/jxl/quant_weights.h"
+
+// Quantizes DC and AC coefficients, with separate quantization tables according
+// to the quant_kind (which is currently computed from the AC strategy and the
+// block index inside that strategy).
+
+namespace jxl {
+
+static constexpr int kGlobalScaleDenom = 1 << 16;
+static constexpr int kGlobalScaleNumerator = 4096;
+
+// zero-biases for quantizing channels X, Y, B
+static constexpr float kZeroBiasDefault[3] = {0.5f, 0.5f, 0.5f};
+
+// Returns adjusted version of a quantized integer, such that its value is
+// closer to the expected value of the original.
+// The residuals of AC coefficients that we quantize are not uniformly
+// distributed. Numerical experiments show that they have a distribution with
+// the "shape" of 1/(1+x^2) [up to some coefficients]. This means that the
+// expected value of a coefficient that gets quantized to x will not be x
+// itself, but (at least with reasonable approximation):
+// - 0 if x is 0
+// - x * biases[c] if x is 1 or -1
+// - x - biases[3]/x otherwise
+// This follows from computing the distribution of the quantization bias, which
+// can be approximated fairly well by <constant>/x when |x| is at least two.
+static constexpr float kBiasNumerator = 0.145f;
+
+static constexpr float kDefaultQuantBias[4] = {
+ 1.0f - 0.05465007330715401f,
+ 1.0f - 0.07005449891748593f,
+ 1.0f - 0.049935103337343655f,
+ 0.145f,
+};
+
+struct QuantizerParams;
+
+class Quantizer {
+ public:
+ explicit Quantizer(const DequantMatrices* dequant);
+ Quantizer(const DequantMatrices* dequant, int quant_dc, int global_scale);
+
+ static constexpr int32_t kQuantMax = 256;
+
+ static JXL_INLINE int32_t ClampVal(float val) {
+ return static_cast<int32_t>(
+ std::max(1.0f, std::min<float>(val, kQuantMax)));
+ }
+
+ float ScaleGlobalScale(const float scale) {
+ int new_global_scale = static_cast<int>(global_scale_ * scale + 0.5f);
+ float scale_out = new_global_scale * 1.0f / global_scale_;
+ global_scale_ = new_global_scale;
+ RecomputeFromGlobalScale();
+ return scale_out;
+ }
+
+ // Recomputes other derived fields after global_scale_ has changed.
+ void RecomputeFromGlobalScale() {
+ global_scale_float_ = global_scale_ * (1.0 / kGlobalScaleDenom);
+ inv_global_scale_ = 1.0 * kGlobalScaleDenom / global_scale_;
+ inv_quant_dc_ = inv_global_scale_ / quant_dc_;
+ for (size_t c = 0; c < 3; c++) {
+ mul_dc_[c] = GetDcStep(c);
+ inv_mul_dc_[c] = GetInvDcStep(c);
+ }
+ }
+
+ // Returns scaling factor such that Scale() * (RawDC() or RawQuantField())
+ // pixels yields the same float values returned by GetQuantField.
+ JXL_INLINE float Scale() const { return global_scale_float_; }
+
+ // Reciprocal of Scale().
+ JXL_INLINE float InvGlobalScale() const { return inv_global_scale_; }
+
+ void SetQuantFieldRect(const ImageF& qf, const Rect& rect,
+ ImageI* JXL_RESTRICT raw_quant_field) const;
+
+ void SetQuantField(float quant_dc, const ImageF& qf,
+ ImageI* JXL_RESTRICT raw_quant_field);
+
+ void SetQuant(float quant_dc, float quant_ac,
+ ImageI* JXL_RESTRICT raw_quant_field);
+
+ // Returns the DC quantization base value, which is currently global (not
+ // adaptive). The actual scale factor used to dequantize pixels in channel c
+ // is: inv_quant_dc() * dequant_->DCQuant(c).
+ float inv_quant_dc() const { return inv_quant_dc_; }
+
+ // Dequantize by multiplying with this times dequant_matrix.
+ float inv_quant_ac(int32_t quant) const { return inv_global_scale_ / quant; }
+
+ QuantizerParams GetParams() const;
+
+ Status Decode(BitReader* reader);
+
+ void DumpQuantizationMap(const ImageI& raw_quant_field) const;
+
+ JXL_INLINE const float* DequantMatrix(size_t quant_kind, size_t c) const {
+ return dequant_->Matrix(quant_kind, c);
+ }
+
+ JXL_INLINE const float* InvDequantMatrix(size_t quant_kind, size_t c) const {
+ return dequant_->InvMatrix(quant_kind, c);
+ }
+
+ // Calculates DC quantization step.
+ JXL_INLINE float GetDcStep(size_t c) const {
+ return inv_quant_dc_ * dequant_->DCQuant(c);
+ }
+ JXL_INLINE float GetInvDcStep(size_t c) const {
+ return dequant_->InvDCQuant(c) * (global_scale_float_ * quant_dc_);
+ }
+
+ JXL_INLINE const float* MulDC() const { return mul_dc_; }
+ JXL_INLINE const float* InvMulDC() const { return inv_mul_dc_; }
+
+ JXL_INLINE void ClearDCMul() {
+ std::fill(mul_dc_, mul_dc_ + 4, 1.f);
+ std::fill(inv_mul_dc_, inv_mul_dc_ + 4, 1.f);
+ }
+
+ void ComputeGlobalScaleAndQuant(float quant_dc, float quant_median,
+ float quant_median_absd);
+
+ private:
+ float mul_dc_[4];
+ float inv_mul_dc_[4];
+
+ // These are serialized:
+ int global_scale_;
+ int quant_dc_;
+
+ // These are derived from global_scale_:
+ float inv_global_scale_;
+ float global_scale_float_; // reciprocal of inv_global_scale_
+ float inv_quant_dc_;
+
+ float zero_bias_[3];
+ const DequantMatrices* dequant_;
+};
+
+struct QuantizerParams : public Fields {
+ QuantizerParams() { Bundle::Init(this); }
+ JXL_FIELDS_NAME(QuantizerParams)
+
+ Status VisitFields(Visitor* JXL_RESTRICT visitor) override;
+
+ uint32_t global_scale;
+ uint32_t quant_dc;
+};
+
+} // namespace jxl
+
+#endif // LIB_JXL_QUANTIZER_H_