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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.
#include "lib/jpegli/idct.h"
#include <cmath>
#include "lib/jpegli/decode_internal.h"
#include "lib/jxl/base/compiler_specific.h"
#include "lib/jxl/base/status.h"
#undef HWY_TARGET_INCLUDE
#define HWY_TARGET_INCLUDE "lib/jpegli/idct.cc"
#include <hwy/foreach_target.h>
#include <hwy/highway.h>
#include "lib/jpegli/transpose-inl.h"
HWY_BEFORE_NAMESPACE();
namespace jpegli {
namespace HWY_NAMESPACE {
// These templates are not found via ADL.
using hwy::HWY_NAMESPACE::Abs;
using hwy::HWY_NAMESPACE::Add;
using hwy::HWY_NAMESPACE::Gt;
using hwy::HWY_NAMESPACE::IfThenElseZero;
using hwy::HWY_NAMESPACE::Mul;
using hwy::HWY_NAMESPACE::MulAdd;
using hwy::HWY_NAMESPACE::NegMulAdd;
using hwy::HWY_NAMESPACE::Rebind;
using hwy::HWY_NAMESPACE::Sub;
using hwy::HWY_NAMESPACE::Vec;
using hwy::HWY_NAMESPACE::Xor;
using D = HWY_FULL(float);
using DI = HWY_FULL(int32_t);
constexpr D d;
constexpr DI di;
using D8 = HWY_CAPPED(float, 8);
constexpr D8 d8;
void DequantBlock(const int16_t* JXL_RESTRICT qblock,
const float* JXL_RESTRICT dequant,
const float* JXL_RESTRICT biases, float* JXL_RESTRICT block) {
for (size_t k = 0; k < 64; k += Lanes(d)) {
const auto mul = Load(d, dequant + k);
const auto bias = Load(d, biases + k);
const Rebind<int16_t, DI> di16;
const Vec<DI> quant_i = PromoteTo(di, Load(di16, qblock + k));
const Rebind<float, DI> df;
const auto quant = ConvertTo(df, quant_i);
const auto abs_quant = Abs(quant);
const auto not_0 = Gt(abs_quant, Zero(df));
const auto sign_quant = Xor(quant, abs_quant);
const auto biased_quant = Sub(quant, Xor(bias, sign_quant));
const auto dequant = IfThenElseZero(not_0, Mul(biased_quant, mul));
Store(dequant, d, block + k);
}
}
template <size_t N>
void ForwardEvenOdd(const float* JXL_RESTRICT a_in, size_t a_in_stride,
float* JXL_RESTRICT a_out) {
for (size_t i = 0; i < N / 2; i++) {
auto in1 = LoadU(d8, a_in + 2 * i * a_in_stride);
Store(in1, d8, a_out + i * 8);
}
for (size_t i = N / 2; i < N; i++) {
auto in1 = LoadU(d8, a_in + (2 * (i - N / 2) + 1) * a_in_stride);
Store(in1, d8, a_out + i * 8);
}
}
template <size_t N>
void BTranspose(float* JXL_RESTRICT coeff) {
for (size_t i = N - 1; i > 0; i--) {
auto in1 = Load(d8, coeff + i * 8);
auto in2 = Load(d8, coeff + (i - 1) * 8);
Store(Add(in1, in2), d8, coeff + i * 8);
}
constexpr float kSqrt2 = 1.41421356237f;
auto sqrt2 = Set(d8, kSqrt2);
auto in1 = Load(d8, coeff);
Store(Mul(in1, sqrt2), d8, coeff);
}
// Constants for DCT implementation. Generated by the following snippet:
// for i in range(N // 2):
// print(1.0 / (2 * math.cos((i + 0.5) * math.pi / N)), end=", ")
template <size_t N>
struct WcMultipliers;
template <>
struct WcMultipliers<4> {
static constexpr float kMultipliers[] = {
0.541196100146197,
1.3065629648763764,
};
};
template <>
struct WcMultipliers<8> {
static constexpr float kMultipliers[] = {
0.5097955791041592,
0.6013448869350453,
0.8999762231364156,
2.5629154477415055,
};
};
#if JXL_CXX_LANG < JXL_CXX_17
constexpr float WcMultipliers<4>::kMultipliers[];
constexpr float WcMultipliers<8>::kMultipliers[];
#endif
template <size_t N>
void MultiplyAndAdd(const float* JXL_RESTRICT coeff, float* JXL_RESTRICT out,
size_t out_stride) {
for (size_t i = 0; i < N / 2; i++) {
auto mul = Set(d8, WcMultipliers<N>::kMultipliers[i]);
auto in1 = Load(d8, coeff + i * 8);
auto in2 = Load(d8, coeff + (N / 2 + i) * 8);
auto out1 = MulAdd(mul, in2, in1);
auto out2 = NegMulAdd(mul, in2, in1);
StoreU(out1, d8, out + i * out_stride);
StoreU(out2, d8, out + (N - i - 1) * out_stride);
}
}
template <size_t N>
struct IDCT1DImpl;
template <>
struct IDCT1DImpl<1> {
JXL_INLINE void operator()(const float* from, size_t from_stride, float* to,
size_t to_stride) {
StoreU(LoadU(d8, from), d8, to);
}
};
template <>
struct IDCT1DImpl<2> {
JXL_INLINE void operator()(const float* from, size_t from_stride, float* to,
size_t to_stride) {
JXL_DASSERT(from_stride >= 8);
JXL_DASSERT(to_stride >= 8);
auto in1 = LoadU(d8, from);
auto in2 = LoadU(d8, from + from_stride);
StoreU(Add(in1, in2), d8, to);
StoreU(Sub(in1, in2), d8, to + to_stride);
}
};
template <size_t N>
struct IDCT1DImpl {
void operator()(const float* from, size_t from_stride, float* to,
size_t to_stride) {
JXL_DASSERT(from_stride >= 8);
JXL_DASSERT(to_stride >= 8);
HWY_ALIGN float tmp[64];
ForwardEvenOdd<N>(from, from_stride, tmp);
IDCT1DImpl<N / 2>()(tmp, 8, tmp, 8);
BTranspose<N / 2>(tmp + N * 4);
IDCT1DImpl<N / 2>()(tmp + N * 4, 8, tmp + N * 4, 8);
MultiplyAndAdd<N>(tmp, to, to_stride);
}
};
template <size_t N>
void IDCT1D(float* JXL_RESTRICT from, float* JXL_RESTRICT output,
size_t output_stride) {
for (size_t i = 0; i < 8; i += Lanes(d8)) {
IDCT1DImpl<N>()(from + i, 8, output + i, output_stride);
}
}
void ComputeScaledIDCT(float* JXL_RESTRICT block0, float* JXL_RESTRICT block1,
float* JXL_RESTRICT output, size_t output_stride) {
Transpose8x8Block(block0, block1);
IDCT1D<8>(block1, block0, 8);
Transpose8x8Block(block0, block1);
IDCT1D<8>(block1, output, output_stride);
}
void InverseTransformBlock8x8(const int16_t* JXL_RESTRICT qblock,
const float* JXL_RESTRICT dequant,
const float* JXL_RESTRICT biases,
float* JXL_RESTRICT scratch_space,
float* JXL_RESTRICT output, size_t output_stride,
size_t dctsize) {
float* JXL_RESTRICT block0 = scratch_space;
float* JXL_RESTRICT block1 = scratch_space + DCTSIZE2;
DequantBlock(qblock, dequant, biases, block0);
ComputeScaledIDCT(block0, block1, output, output_stride);
}
// Computes the N-point IDCT of in[], and stores the result in out[]. The in[]
// array is at most 8 values long, values in[8:N-1] are assumed to be 0.
void Compute1dIDCT(const float* in, float* out, size_t N) {
switch (N) {
case 3: {
static constexpr float kC3[3] = {
1.414213562373,
1.224744871392,
0.707106781187,
};
float even0 = in[0] + kC3[2] * in[2];
float even1 = in[0] - kC3[0] * in[2];
float odd0 = kC3[1] * in[1];
out[0] = even0 + odd0;
out[2] = even0 - odd0;
out[1] = even1;
break;
}
case 5: {
static constexpr float kC5[5] = {
1.414213562373, 1.344997023928, 1.144122805635,
0.831253875555, 0.437016024449,
};
float even0 = in[0] + kC5[2] * in[2] + kC5[4] * in[4];
float even1 = in[0] - kC5[4] * in[2] - kC5[2] * in[4];
float even2 = in[0] - kC5[0] * in[2] + kC5[0] * in[4];
float odd0 = kC5[1] * in[1] + kC5[3] * in[3];
float odd1 = kC5[3] * in[1] - kC5[1] * in[3];
out[0] = even0 + odd0;
out[4] = even0 - odd0;
out[1] = even1 + odd1;
out[3] = even1 - odd1;
out[2] = even2;
break;
}
case 6: {
static constexpr float kC6[6] = {
1.414213562373, 1.366025403784, 1.224744871392,
1.000000000000, 0.707106781187, 0.366025403784,
};
float even0 = in[0] + kC6[2] * in[2] + kC6[4] * in[4];
float even1 = in[0] - kC6[0] * in[4];
float even2 = in[0] - kC6[2] * in[2] + kC6[4] * in[4];
float odd0 = kC6[1] * in[1] + kC6[3] * in[3] + kC6[5] * in[5];
float odd1 = kC6[3] * in[1] - kC6[3] * in[3] - kC6[3] * in[5];
float odd2 = kC6[5] * in[1] - kC6[3] * in[3] + kC6[1] * in[5];
out[0] = even0 + odd0;
out[5] = even0 - odd0;
out[1] = even1 + odd1;
out[4] = even1 - odd1;
out[2] = even2 + odd2;
out[3] = even2 - odd2;
break;
}
case 7: {
static constexpr float kC7[7] = {
1.414213562373, 1.378756275744, 1.274162392264, 1.105676685997,
0.881747733790, 0.613604268353, 0.314692122713,
};
float even0 = in[0] + kC7[2] * in[2] + kC7[4] * in[4] + kC7[6] * in[6];
float even1 = in[0] + kC7[6] * in[2] - kC7[2] * in[4] - kC7[4] * in[6];
float even2 = in[0] - kC7[4] * in[2] - kC7[6] * in[4] + kC7[2] * in[6];
float even3 = in[0] - kC7[0] * in[2] + kC7[0] * in[4] - kC7[0] * in[6];
float odd0 = kC7[1] * in[1] + kC7[3] * in[3] + kC7[5] * in[5];
float odd1 = kC7[3] * in[1] - kC7[5] * in[3] - kC7[1] * in[5];
float odd2 = kC7[5] * in[1] - kC7[1] * in[3] + kC7[3] * in[5];
out[0] = even0 + odd0;
out[6] = even0 - odd0;
out[1] = even1 + odd1;
out[5] = even1 - odd1;
out[2] = even2 + odd2;
out[4] = even2 - odd2;
out[3] = even3;
break;
}
case 9: {
static constexpr float kC9[9] = {
1.414213562373, 1.392728480640, 1.328926048777,
1.224744871392, 1.083350440839, 0.909038955344,
0.707106781187, 0.483689525296, 0.245575607938,
};
float even0 = in[0] + kC9[2] * in[2] + kC9[4] * in[4] + kC9[6] * in[6];
float even1 = in[0] + kC9[6] * in[2] - kC9[6] * in[4] - kC9[0] * in[6];
float even2 = in[0] - kC9[8] * in[2] - kC9[2] * in[4] + kC9[6] * in[6];
float even3 = in[0] - kC9[4] * in[2] + kC9[8] * in[4] + kC9[6] * in[6];
float even4 = in[0] - kC9[0] * in[2] + kC9[0] * in[4] - kC9[0] * in[6];
float odd0 =
kC9[1] * in[1] + kC9[3] * in[3] + kC9[5] * in[5] + kC9[7] * in[7];
float odd1 = kC9[3] * in[1] - kC9[3] * in[5] - kC9[3] * in[7];
float odd2 =
kC9[5] * in[1] - kC9[3] * in[3] - kC9[7] * in[5] + kC9[1] * in[7];
float odd3 =
kC9[7] * in[1] - kC9[3] * in[3] + kC9[1] * in[5] - kC9[5] * in[7];
out[0] = even0 + odd0;
out[8] = even0 - odd0;
out[1] = even1 + odd1;
out[7] = even1 - odd1;
out[2] = even2 + odd2;
out[6] = even2 - odd2;
out[3] = even3 + odd3;
out[5] = even3 - odd3;
out[4] = even4;
break;
}
case 10: {
static constexpr float kC10[10] = {
1.414213562373, 1.396802246667, 1.344997023928, 1.260073510670,
1.144122805635, 1.000000000000, 0.831253875555, 0.642039521920,
0.437016024449, 0.221231742082,
};
float even0 = in[0] + kC10[2] * in[2] + kC10[4] * in[4] + kC10[6] * in[6];
float even1 = in[0] + kC10[6] * in[2] - kC10[8] * in[4] - kC10[2] * in[6];
float even2 = in[0] - kC10[0] * in[4];
float even3 = in[0] - kC10[6] * in[2] - kC10[8] * in[4] + kC10[2] * in[6];
float even4 = in[0] - kC10[2] * in[2] + kC10[4] * in[4] - kC10[6] * in[6];
float odd0 =
kC10[1] * in[1] + kC10[3] * in[3] + kC10[5] * in[5] + kC10[7] * in[7];
float odd1 =
kC10[3] * in[1] + kC10[9] * in[3] - kC10[5] * in[5] - kC10[1] * in[7];
float odd2 =
kC10[5] * in[1] - kC10[5] * in[3] - kC10[5] * in[5] + kC10[5] * in[7];
float odd3 =
kC10[7] * in[1] - kC10[1] * in[3] + kC10[5] * in[5] + kC10[9] * in[7];
float odd4 =
kC10[9] * in[1] - kC10[7] * in[3] + kC10[5] * in[5] - kC10[3] * in[7];
out[0] = even0 + odd0;
out[9] = even0 - odd0;
out[1] = even1 + odd1;
out[8] = even1 - odd1;
out[2] = even2 + odd2;
out[7] = even2 - odd2;
out[3] = even3 + odd3;
out[6] = even3 - odd3;
out[4] = even4 + odd4;
out[5] = even4 - odd4;
break;
}
case 11: {
static constexpr float kC11[11] = {
1.414213562373, 1.399818907436, 1.356927976287, 1.286413904599,
1.189712155524, 1.068791297809, 0.926112931411, 0.764581576418,
0.587485545401, 0.398430002847, 0.201263574413,
};
float even0 = in[0] + kC11[2] * in[2] + kC11[4] * in[4] + kC11[6] * in[6];
float even1 =
in[0] + kC11[6] * in[2] - kC11[10] * in[4] - kC11[4] * in[6];
float even2 =
in[0] + kC11[10] * in[2] - kC11[2] * in[4] - kC11[8] * in[6];
float even3 = in[0] - kC11[8] * in[2] - kC11[6] * in[4] + kC11[2] * in[6];
float even4 =
in[0] - kC11[4] * in[2] + kC11[8] * in[4] + kC11[10] * in[6];
float even5 = in[0] - kC11[0] * in[2] + kC11[0] * in[4] - kC11[0] * in[6];
float odd0 =
kC11[1] * in[1] + kC11[3] * in[3] + kC11[5] * in[5] + kC11[7] * in[7];
float odd1 =
kC11[3] * in[1] + kC11[9] * in[3] - kC11[7] * in[5] - kC11[1] * in[7];
float odd2 =
kC11[5] * in[1] - kC11[7] * in[3] - kC11[3] * in[5] + kC11[9] * in[7];
float odd3 =
kC11[7] * in[1] - kC11[1] * in[3] + kC11[9] * in[5] + kC11[5] * in[7];
float odd4 =
kC11[9] * in[1] - kC11[5] * in[3] + kC11[1] * in[5] - kC11[3] * in[7];
out[0] = even0 + odd0;
out[10] = even0 - odd0;
out[1] = even1 + odd1;
out[9] = even1 - odd1;
out[2] = even2 + odd2;
out[8] = even2 - odd2;
out[3] = even3 + odd3;
out[7] = even3 - odd3;
out[4] = even4 + odd4;
out[6] = even4 - odd4;
out[5] = even5;
break;
}
case 12: {
static constexpr float kC12[12] = {
1.414213562373, 1.402114769300, 1.366025403784, 1.306562964876,
1.224744871392, 1.121971053594, 1.000000000000, 0.860918669154,
0.707106781187, 0.541196100146, 0.366025403784, 0.184591911283,
};
float even0 = in[0] + kC12[2] * in[2] + kC12[4] * in[4] + kC12[6] * in[6];
float even1 = in[0] + kC12[6] * in[2] - kC12[6] * in[6];
float even2 =
in[0] + kC12[10] * in[2] - kC12[4] * in[4] - kC12[6] * in[6];
float even3 =
in[0] - kC12[10] * in[2] - kC12[4] * in[4] + kC12[6] * in[6];
float even4 = in[0] - kC12[6] * in[2] + kC12[6] * in[6];
float even5 = in[0] - kC12[2] * in[2] + kC12[4] * in[4] - kC12[6] * in[6];
float odd0 =
kC12[1] * in[1] + kC12[3] * in[3] + kC12[5] * in[5] + kC12[7] * in[7];
float odd1 =
kC12[3] * in[1] + kC12[9] * in[3] - kC12[9] * in[5] - kC12[3] * in[7];
float odd2 = kC12[5] * in[1] - kC12[9] * in[3] - kC12[1] * in[5] -
kC12[11] * in[7];
float odd3 = kC12[7] * in[1] - kC12[3] * in[3] - kC12[11] * in[5] +
kC12[1] * in[7];
float odd4 =
kC12[9] * in[1] - kC12[3] * in[3] + kC12[3] * in[5] - kC12[9] * in[7];
float odd5 = kC12[11] * in[1] - kC12[9] * in[3] + kC12[7] * in[5] -
kC12[5] * in[7];
out[0] = even0 + odd0;
out[11] = even0 - odd0;
out[1] = even1 + odd1;
out[10] = even1 - odd1;
out[2] = even2 + odd2;
out[9] = even2 - odd2;
out[3] = even3 + odd3;
out[8] = even3 - odd3;
out[4] = even4 + odd4;
out[7] = even4 - odd4;
out[5] = even5 + odd5;
out[6] = even5 - odd5;
break;
}
case 13: {
static constexpr float kC13[13] = {
1.414213562373, 1.403902353238, 1.373119086479, 1.322312651445,
1.252223920364, 1.163874944761, 1.058554051646, 0.937797056801,
0.803364869133, 0.657217812653, 0.501487040539, 0.338443458124,
0.170464607981,
};
float even0 = in[0] + kC13[2] * in[2] + kC13[4] * in[4] + kC13[6] * in[6];
float even1 =
in[0] + kC13[6] * in[2] + kC13[12] * in[4] - kC13[8] * in[6];
float even2 =
in[0] + kC13[10] * in[2] - kC13[6] * in[4] - kC13[4] * in[6];
float even3 =
in[0] - kC13[12] * in[2] - kC13[2] * in[4] + kC13[10] * in[6];
float even4 =
in[0] - kC13[8] * in[2] - kC13[10] * in[4] + kC13[2] * in[6];
float even5 =
in[0] - kC13[4] * in[2] + kC13[8] * in[4] - kC13[12] * in[6];
float even6 = in[0] - kC13[0] * in[2] + kC13[0] * in[4] - kC13[0] * in[6];
float odd0 =
kC13[1] * in[1] + kC13[3] * in[3] + kC13[5] * in[5] + kC13[7] * in[7];
float odd1 = kC13[3] * in[1] + kC13[9] * in[3] - kC13[11] * in[5] -
kC13[5] * in[7];
float odd2 = kC13[5] * in[1] - kC13[11] * in[3] - kC13[1] * in[5] -
kC13[9] * in[7];
float odd3 =
kC13[7] * in[1] - kC13[5] * in[3] - kC13[9] * in[5] + kC13[3] * in[7];
float odd4 = kC13[9] * in[1] - kC13[1] * in[3] + kC13[7] * in[5] +
kC13[11] * in[7];
float odd5 = kC13[11] * in[1] - kC13[7] * in[3] + kC13[3] * in[5] -
kC13[1] * in[7];
out[0] = even0 + odd0;
out[12] = even0 - odd0;
out[1] = even1 + odd1;
out[11] = even1 - odd1;
out[2] = even2 + odd2;
out[10] = even2 - odd2;
out[3] = even3 + odd3;
out[9] = even3 - odd3;
out[4] = even4 + odd4;
out[8] = even4 - odd4;
out[5] = even5 + odd5;
out[7] = even5 - odd5;
out[6] = even6;
break;
}
case 14: {
static constexpr float kC14[14] = {
1.414213562373, 1.405321284327, 1.378756275744, 1.334852607020,
1.274162392264, 1.197448846138, 1.105676685997, 1.000000000000,
0.881747733790, 0.752406978226, 0.613604268353, 0.467085128785,
0.314692122713, 0.158341680609,
};
float even0 = in[0] + kC14[2] * in[2] + kC14[4] * in[4] + kC14[6] * in[6];
float even1 =
in[0] + kC14[6] * in[2] + kC14[12] * in[4] - kC14[10] * in[6];
float even2 =
in[0] + kC14[10] * in[2] - kC14[8] * in[4] - kC14[2] * in[6];
float even3 = in[0] - kC14[0] * in[4];
float even4 =
in[0] - kC14[10] * in[2] - kC14[8] * in[4] + kC14[2] * in[6];
float even5 =
in[0] - kC14[6] * in[2] + kC14[12] * in[4] + kC14[10] * in[6];
float even6 = in[0] - kC14[2] * in[2] + kC14[4] * in[4] - kC14[6] * in[6];
float odd0 =
kC14[1] * in[1] + kC14[3] * in[3] + kC14[5] * in[5] + kC14[7] * in[7];
float odd1 = kC14[3] * in[1] + kC14[9] * in[3] - kC14[13] * in[5] -
kC14[7] * in[7];
float odd2 = kC14[5] * in[1] - kC14[13] * in[3] - kC14[3] * in[5] -
kC14[7] * in[7];
float odd3 =
kC14[7] * in[1] - kC14[7] * in[3] - kC14[7] * in[5] + kC14[7] * in[7];
float odd4 = kC14[9] * in[1] - kC14[1] * in[3] + kC14[11] * in[5] +
kC14[7] * in[7];
float odd5 = kC14[11] * in[1] - kC14[5] * in[3] + kC14[1] * in[5] -
kC14[7] * in[7];
float odd6 = kC14[13] * in[1] - kC14[11] * in[3] + kC14[9] * in[5] -
kC14[7] * in[7];
out[0] = even0 + odd0;
out[13] = even0 - odd0;
out[1] = even1 + odd1;
out[12] = even1 - odd1;
out[2] = even2 + odd2;
out[11] = even2 - odd2;
out[3] = even3 + odd3;
out[10] = even3 - odd3;
out[4] = even4 + odd4;
out[9] = even4 - odd4;
out[5] = even5 + odd5;
out[8] = even5 - odd5;
out[6] = even6 + odd6;
out[7] = even6 - odd6;
break;
}
case 15: {
static constexpr float kC15[15] = {
1.414213562373, 1.406466352507, 1.383309602960, 1.344997023928,
1.291948376043, 1.224744871392, 1.144122805635, 1.050965490998,
0.946293578512, 0.831253875555, 0.707106781187, 0.575212476952,
0.437016024449, 0.294031532930, 0.147825570407,
};
float even0 = in[0] + kC15[2] * in[2] + kC15[4] * in[4] + kC15[6] * in[6];
float even1 =
in[0] + kC15[6] * in[2] + kC15[12] * in[4] - kC15[12] * in[6];
float even2 =
in[0] + kC15[10] * in[2] - kC15[10] * in[4] - kC15[0] * in[6];
float even3 =
in[0] + kC15[14] * in[2] - kC15[2] * in[4] - kC15[12] * in[6];
float even4 =
in[0] - kC15[12] * in[2] - kC15[6] * in[4] + kC15[6] * in[6];
float even5 =
in[0] - kC15[8] * in[2] - kC15[14] * in[4] + kC15[6] * in[6];
float even6 =
in[0] - kC15[4] * in[2] + kC15[8] * in[4] - kC15[12] * in[6];
float even7 = in[0] - kC15[0] * in[2] + kC15[0] * in[4] - kC15[0] * in[6];
float odd0 =
kC15[1] * in[1] + kC15[3] * in[3] + kC15[5] * in[5] + kC15[7] * in[7];
float odd1 = kC15[3] * in[1] + kC15[9] * in[3] - kC15[9] * in[7];
float odd2 = kC15[5] * in[1] - kC15[5] * in[5] - kC15[5] * in[7];
float odd3 = kC15[7] * in[1] - kC15[9] * in[3] - kC15[5] * in[5] +
kC15[11] * in[7];
float odd4 = kC15[9] * in[1] - kC15[3] * in[3] + kC15[3] * in[7];
float odd5 = kC15[11] * in[1] - kC15[3] * in[3] + kC15[5] * in[5] -
kC15[13] * in[7];
float odd6 = kC15[13] * in[1] - kC15[9] * in[3] + kC15[5] * in[5] -
kC15[1] * in[7];
out[0] = even0 + odd0;
out[14] = even0 - odd0;
out[1] = even1 + odd1;
out[13] = even1 - odd1;
out[2] = even2 + odd2;
out[12] = even2 - odd2;
out[3] = even3 + odd3;
out[11] = even3 - odd3;
out[4] = even4 + odd4;
out[10] = even4 - odd4;
out[5] = even5 + odd5;
out[9] = even5 - odd5;
out[6] = even6 + odd6;
out[8] = even6 - odd6;
out[7] = even7;
break;
}
case 16: {
static constexpr float kC16[16] = {
1.414213562373, 1.407403737526, 1.387039845322, 1.353318001174,
1.306562964876, 1.247225012987, 1.175875602419, 1.093201867002,
1.000000000000, 0.897167586343, 0.785694958387, 0.666655658478,
0.541196100146, 0.410524527522, 0.275899379283, 0.138617169199,
};
float even0 = in[0] + kC16[2] * in[2] + kC16[4] * in[4] + kC16[6] * in[6];
float even1 =
in[0] + kC16[6] * in[2] + kC16[12] * in[4] - kC16[14] * in[6];
float even2 =
in[0] + kC16[10] * in[2] - kC16[12] * in[4] - kC16[2] * in[6];
float even3 =
in[0] + kC16[14] * in[2] - kC16[4] * in[4] - kC16[10] * in[6];
float even4 =
in[0] - kC16[14] * in[2] - kC16[4] * in[4] + kC16[10] * in[6];
float even5 =
in[0] - kC16[10] * in[2] - kC16[12] * in[4] + kC16[2] * in[6];
float even6 =
in[0] - kC16[6] * in[2] + kC16[12] * in[4] + kC16[14] * in[6];
float even7 = in[0] - kC16[2] * in[2] + kC16[4] * in[4] - kC16[6] * in[6];
float odd0 = (kC16[1] * in[1] + kC16[3] * in[3] + kC16[5] * in[5] +
kC16[7] * in[7]);
float odd1 = (kC16[3] * in[1] + kC16[9] * in[3] + kC16[15] * in[5] -
kC16[11] * in[7]);
float odd2 = (kC16[5] * in[1] + kC16[15] * in[3] - kC16[7] * in[5] -
kC16[3] * in[7]);
float odd3 = (kC16[7] * in[1] - kC16[11] * in[3] - kC16[3] * in[5] +
kC16[15] * in[7]);
float odd4 = (kC16[9] * in[1] - kC16[5] * in[3] - kC16[13] * in[5] +
kC16[1] * in[7]);
float odd5 = (kC16[11] * in[1] - kC16[1] * in[3] + kC16[9] * in[5] +
kC16[13] * in[7]);
float odd6 = (kC16[13] * in[1] - kC16[7] * in[3] + kC16[1] * in[5] -
kC16[5] * in[7]);
float odd7 = (kC16[15] * in[1] - kC16[13] * in[3] + kC16[11] * in[5] -
kC16[9] * in[7]);
out[0] = even0 + odd0;
out[15] = even0 - odd0;
out[1] = even1 + odd1;
out[14] = even1 - odd1;
out[2] = even2 + odd2;
out[13] = even2 - odd2;
out[3] = even3 + odd3;
out[12] = even3 - odd3;
out[4] = even4 + odd4;
out[11] = even4 - odd4;
out[5] = even5 + odd5;
out[10] = even5 - odd5;
out[6] = even6 + odd6;
out[9] = even6 - odd6;
out[7] = even7 + odd7;
out[8] = even7 - odd7;
break;
}
default:
JXL_DEBUG_ABORT("Unreachable");
break;
}
}
void InverseTransformBlockGeneric(const int16_t* JXL_RESTRICT qblock,
const float* JXL_RESTRICT dequant,
const float* JXL_RESTRICT biases,
float* JXL_RESTRICT scratch_space,
float* JXL_RESTRICT output,
size_t output_stride, size_t dctsize) {
float* JXL_RESTRICT block0 = scratch_space;
float* JXL_RESTRICT block1 = scratch_space + DCTSIZE2;
DequantBlock(qblock, dequant, biases, block0);
if (dctsize == 1) {
*output = *block0;
} else if (dctsize == 2 || dctsize == 4) {
float* JXL_RESTRICT block2 = scratch_space + 2 * DCTSIZE2;
ComputeScaledIDCT(block0, block1, block2, 8);
if (dctsize == 4) {
for (size_t iy = 0; iy < 4; ++iy) {
for (size_t ix = 0; ix < 4; ++ix) {
float* block = &block2[16 * iy + 2 * ix];
output[iy * output_stride + ix] =
0.25f * (block[0] + block[1] + block[8] + block[9]);
}
}
} else {
for (size_t iy = 0; iy < 2; ++iy) {
for (size_t ix = 0; ix < 2; ++ix) {
float* block = &block2[32 * iy + 4 * ix];
output[iy * output_stride + ix] =
0.0625f *
(block[0] + block[1] + block[2] + block[3] + block[8] + block[9] +
block[10] + block[11] + block[16] + block[17] + block[18] +
block[19] + block[24] + block[25] + block[26] + block[27]);
}
}
}
} else {
float dctin[DCTSIZE];
float dctout[DCTSIZE * 2];
size_t insize = std::min<size_t>(dctsize, DCTSIZE);
for (size_t ix = 0; ix < insize; ++ix) {
for (size_t iy = 0; iy < insize; ++iy) {
dctin[iy] = block0[iy * DCTSIZE + ix];
}
Compute1dIDCT(dctin, dctout, dctsize);
for (size_t iy = 0; iy < dctsize; ++iy) {
block1[iy * dctsize + ix] = dctout[iy];
}
}
for (size_t iy = 0; iy < dctsize; ++iy) {
Compute1dIDCT(block1 + iy * dctsize, output + iy * output_stride,
dctsize);
}
}
}
// NOLINTNEXTLINE(google-readability-namespace-comments)
} // namespace HWY_NAMESPACE
} // namespace jpegli
HWY_AFTER_NAMESPACE();
#if HWY_ONCE
namespace jpegli {
HWY_EXPORT(InverseTransformBlock8x8);
HWY_EXPORT(InverseTransformBlockGeneric);
jxl::Status ChooseInverseTransform(j_decompress_ptr cinfo) {
jpeg_decomp_master* m = cinfo->master;
for (int c = 0; c < cinfo->num_components; ++c) {
int dct_size = m->scaled_dct_size[c];
if (dct_size < 1 || dct_size > 16) {
return JXL_FAILURE("Compute1dIDCT does not support N=%d", dct_size);
}
if (dct_size == DCTSIZE) {
m->inverse_transform[c] = HWY_DYNAMIC_DISPATCH(InverseTransformBlock8x8);
} else {
m->inverse_transform[c] =
HWY_DYNAMIC_DISPATCH(InverseTransformBlockGeneric);
}
}
return true;
}
} // namespace jpegli
#endif // HWY_ONCE