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jcdctmgr.c
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/*
* jcdctmgr.c
*
* This file was part of the Independent JPEG Group's software:
* Copyright (C) 1994-1996, Thomas G. Lane.
* libjpeg-turbo Modifications:
* Copyright (C) 1999-2006, MIYASAKA Masaru.
* Copyright 2009 Pierre Ossman <[email protected]> for Cendio AB
* Copyright (C) 2011, 2014-2015 D. R. Commander
* mozjpeg Modifications:
* Copyright (C) 2014, Mozilla Corporation.
* For conditions of distribution and use, see the accompanying README file.
*
* This file contains the forward-DCT management logic.
* This code selects a particular DCT implementation to be used,
* and it performs related housekeeping chores including coefficient
* quantization.
*/
#define JPEG_INTERNALS
#include "jinclude.h"
#include "jpeglib.h"
#include "jdct.h" /* Private declarations for DCT subsystem */
#include "jsimddct.h"
#include "jchuff.h"
#include <assert.h>
#include <math.h>
#if defined( __aarch64__ ) || defined (__arm__) || defined (__arm64__)
#include <arm_neon.h>
#else
#include <immintrin.h>
#endif
/* Private subobject for this module */
typedef void (*forward_DCT_method_ptr) (DCTELEM *data);
typedef void (*float_DCT_method_ptr) (FAST_FLOAT *data);
typedef void (*preprocess_method_ptr)(DCTELEM*, const JQUANT_TBL*);
typedef void (*float_preprocess_method_ptr)(FAST_FLOAT*, const JQUANT_TBL*);
typedef void (*convsamp_method_ptr) (JSAMPARRAY sample_data,
JDIMENSION start_col,
DCTELEM *workspace);
typedef void (*float_convsamp_method_ptr) (JSAMPARRAY sample_data,
JDIMENSION start_col,
FAST_FLOAT *workspace);
typedef void (*quantize_method_ptr) (JCOEFPTR coef_block, DCTELEM *divisors,
DCTELEM *workspace);
typedef void (*float_quantize_method_ptr) (JCOEFPTR coef_block,
FAST_FLOAT *divisors,
FAST_FLOAT *workspace);
METHODDEF(void) quantize (JCOEFPTR, DCTELEM *, DCTELEM *);
typedef struct {
struct jpeg_forward_dct pub; /* public fields */
/* Pointer to the DCT routine actually in use */
forward_DCT_method_ptr dct;
convsamp_method_ptr convsamp;
preprocess_method_ptr preprocess;
quantize_method_ptr quantize;
/* The actual post-DCT divisors --- not identical to the quant table
* entries, because of scaling (especially for an unnormalized DCT).
* Each table is given in normal array order.
*/
DCTELEM *divisors[NUM_QUANT_TBLS];
/* work area for FDCT subroutine */
DCTELEM *workspace;
#ifdef DCT_FLOAT_SUPPORTED
/* Same as above for the floating-point case. */
float_DCT_method_ptr float_dct;
float_convsamp_method_ptr float_convsamp;
float_preprocess_method_ptr float_preprocess;
float_quantize_method_ptr float_quantize;
FAST_FLOAT *float_divisors[NUM_QUANT_TBLS];
FAST_FLOAT *float_workspace;
#endif
} my_fdct_controller;
typedef my_fdct_controller *my_fdct_ptr;
#if BITS_IN_JSAMPLE == 8
/*
* Find the highest bit in an integer through binary search.
*/
LOCAL(int)
flss (UINT16 val)
{
int bit;
bit = 16;
if (!val)
return 0;
if (!(val & 0xff00)) {
bit -= 8;
val <<= 8;
}
if (!(val & 0xf000)) {
bit -= 4;
val <<= 4;
}
if (!(val & 0xc000)) {
bit -= 2;
val <<= 2;
}
if (!(val & 0x8000)) {
bit -= 1;
val <<= 1;
}
return bit;
}
/*
* Compute values to do a division using reciprocal.
*
* This implementation is based on an algorithm described in
* "How to optimize for the Pentium family of microprocessors"
* (http://www.agner.org/assem/).
* More information about the basic algorithm can be found in
* the paper "Integer Division Using Reciprocals" by Robert Alverson.
*
* The basic idea is to replace x/d by x * d^-1. In order to store
* d^-1 with enough precision we shift it left a few places. It turns
* out that this algoright gives just enough precision, and also fits
* into DCTELEM:
*
* b = (the number of significant bits in divisor) - 1
* r = (word size) + b
* f = 2^r / divisor
*
* f will not be an integer for most cases, so we need to compensate
* for the rounding error introduced:
*
* no fractional part:
*
* result = input >> r
*
* fractional part of f < 0.5:
*
* round f down to nearest integer
* result = ((input + 1) * f) >> r
*
* fractional part of f > 0.5:
*
* round f up to nearest integer
* result = (input * f) >> r
*
* This is the original algorithm that gives truncated results. But we
* want properly rounded results, so we replace "input" with
* "input + divisor/2".
*
* In order to allow SIMD implementations we also tweak the values to
* allow the same calculation to be made at all times:
*
* dctbl[0] = f rounded to nearest integer
* dctbl[1] = divisor / 2 (+ 1 if fractional part of f < 0.5)
* dctbl[2] = 1 << ((word size) * 2 - r)
* dctbl[3] = r - (word size)
*
* dctbl[2] is for stupid instruction sets where the shift operation
* isn't member wise (e.g. MMX).
*
* The reason dctbl[2] and dctbl[3] reduce the shift with (word size)
* is that most SIMD implementations have a "multiply and store top
* half" operation.
*
* Lastly, we store each of the values in their own table instead
* of in a consecutive manner, yet again in order to allow SIMD
* routines.
*/
LOCAL(int)
compute_reciprocal (UINT16 divisor, DCTELEM *dtbl)
{
UDCTELEM2 fq, fr;
UDCTELEM c;
int b, r;
if (divisor == 1) {
/* divisor == 1 means unquantized, so these reciprocal/correction/shift
* values will cause the C quantization algorithm to act like the
* identity function. Since only the C quantization algorithm is used in
* these cases, the scale value is irrelevant.
*/
dtbl[DCTSIZE2 * 0] = (DCTELEM) 1; /* reciprocal */
dtbl[DCTSIZE2 * 1] = (DCTELEM) 0; /* correction */
dtbl[DCTSIZE2 * 2] = (DCTELEM) 1; /* scale */
dtbl[DCTSIZE2 * 3] = -(DCTELEM) (sizeof(DCTELEM) * 8); /* shift */
return 0;
}
b = flss(divisor) - 1;
r = sizeof(DCTELEM) * 8 + b;
fq = ((UDCTELEM2)1 << r) / divisor;
fr = ((UDCTELEM2)1 << r) % divisor;
c = divisor / 2; /* for rounding */
if (fr == 0) { /* divisor is power of two */
/* fq will be one bit too large to fit in DCTELEM, so adjust */
fq >>= 1;
r--;
} else if (fr <= (divisor / 2U)) { /* fractional part is < 0.5 */
c++;
} else { /* fractional part is > 0.5 */
fq++;
}
dtbl[DCTSIZE2 * 0] = (DCTELEM) fq; /* reciprocal */
dtbl[DCTSIZE2 * 1] = (DCTELEM) c; /* correction + roundfactor */
#ifdef WITH_SIMD
dtbl[DCTSIZE2 * 2] = (DCTELEM) (1 << (sizeof(DCTELEM)*8*2 - r)); /* scale */
#else
dtbl[DCTSIZE2 * 2] = 1;
#endif
dtbl[DCTSIZE2 * 3] = (DCTELEM) r - sizeof(DCTELEM)*8; /* shift */
if (r <= 16) return 0;
else return 1;
}
#endif
/*
* Initialize for a processing pass.
* Verify that all referenced Q-tables are present, and set up
* the divisor table for each one.
* In the current implementation, DCT of all components is done during
* the first pass, even if only some components will be output in the
* first scan. Hence all components should be examined here.
*/
METHODDEF(void)
start_pass_fdctmgr (j_compress_ptr cinfo)
{
my_fdct_ptr fdct = (my_fdct_ptr) cinfo->fdct;
int ci, qtblno, i;
jpeg_component_info *compptr;
JQUANT_TBL *qtbl;
DCTELEM *dtbl;
for (ci = 0, compptr = cinfo->comp_info; ci < cinfo->num_components;
ci++, compptr++) {
qtblno = compptr->quant_tbl_no;
/* Make sure specified quantization table is present */
if (qtblno < 0 || qtblno >= NUM_QUANT_TBLS ||
cinfo->quant_tbl_ptrs[qtblno] == NULL)
ERREXIT1(cinfo, JERR_NO_QUANT_TABLE, qtblno);
qtbl = cinfo->quant_tbl_ptrs[qtblno];
/* Compute divisors for this quant table */
/* We may do this more than once for same table, but it's not a big deal */
switch (cinfo->dct_method) {
#ifdef DCT_ISLOW_SUPPORTED
case JDCT_ISLOW:
/* For LL&M IDCT method, divisors are equal to raw quantization
* coefficients multiplied by 8 (to counteract scaling).
*/
if (fdct->divisors[qtblno] == NULL) {
fdct->divisors[qtblno] = (DCTELEM *)
(*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE,
(DCTSIZE2 * 4) * sizeof(DCTELEM));
}
dtbl = fdct->divisors[qtblno];
for (i = 0; i < DCTSIZE2; i++) {
#if BITS_IN_JSAMPLE == 8
if (!compute_reciprocal(qtbl->quantval[i] << 3, &dtbl[i]) &&
fdct->quantize == jsimd_quantize)
fdct->quantize = quantize;
#else
dtbl[i] = ((DCTELEM) qtbl->quantval[i]) << 3;
#endif
}
break;
#endif
#ifdef DCT_IFAST_SUPPORTED
case JDCT_IFAST:
{
/* For AA&N IDCT method, divisors are equal to quantization
* coefficients scaled by scalefactor[row]*scalefactor[col], where
* scalefactor[0] = 1
* scalefactor[k] = cos(k*PI/16) * sqrt(2) for k=1..7
* We apply a further scale factor of 8.
*/
#define CONST_BITS 14
static const INT16 aanscales[DCTSIZE2] = {
/* precomputed values scaled up by 14 bits */
16384, 22725, 21407, 19266, 16384, 12873, 8867, 4520,
22725, 31521, 29692, 26722, 22725, 17855, 12299, 6270,
21407, 29692, 27969, 25172, 21407, 16819, 11585, 5906,
19266, 26722, 25172, 22654, 19266, 15137, 10426, 5315,
16384, 22725, 21407, 19266, 16384, 12873, 8867, 4520,
12873, 17855, 16819, 15137, 12873, 10114, 6967, 3552,
8867, 12299, 11585, 10426, 8867, 6967, 4799, 2446,
4520, 6270, 5906, 5315, 4520, 3552, 2446, 1247
};
SHIFT_TEMPS
if (fdct->divisors[qtblno] == NULL) {
fdct->divisors[qtblno] = (DCTELEM *)
(*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE,
(DCTSIZE2 * 4) * sizeof(DCTELEM));
}
dtbl = fdct->divisors[qtblno];
for (i = 0; i < DCTSIZE2; i++) {
#if BITS_IN_JSAMPLE == 8
if (!compute_reciprocal(
DESCALE(MULTIPLY16V16((JLONG) qtbl->quantval[i],
(JLONG) aanscales[i]),
CONST_BITS-3), &dtbl[i]) &&
fdct->quantize == jsimd_quantize)
fdct->quantize = quantize;
#else
dtbl[i] = (DCTELEM)
DESCALE(MULTIPLY16V16((JLONG) qtbl->quantval[i],
(JLONG) aanscales[i]),
CONST_BITS-3);
#endif
}
}
break;
#endif
#ifdef DCT_FLOAT_SUPPORTED
case JDCT_FLOAT:
{
/* For float AA&N IDCT method, divisors are equal to quantization
* coefficients scaled by scalefactor[row]*scalefactor[col], where
* scalefactor[0] = 1
* scalefactor[k] = cos(k*PI/16) * sqrt(2) for k=1..7
* We apply a further scale factor of 8.
* What's actually stored is 1/divisor so that the inner loop can
* use a multiplication rather than a division.
*/
FAST_FLOAT *fdtbl;
int row, col;
static const double aanscalefactor[DCTSIZE] = {
1.0, 1.387039845, 1.306562965, 1.175875602,
1.0, 0.785694958, 0.541196100, 0.275899379
};
if (fdct->float_divisors[qtblno] == NULL) {
fdct->float_divisors[qtblno] = (FAST_FLOAT *)
(*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE,
DCTSIZE2 * sizeof(FAST_FLOAT));
}
fdtbl = fdct->float_divisors[qtblno];
i = 0;
for (row = 0; row < DCTSIZE; row++) {
for (col = 0; col < DCTSIZE; col++) {
fdtbl[i] = (FAST_FLOAT)
(1.0 / (((double) qtbl->quantval[i] *
aanscalefactor[row] * aanscalefactor[col] * 8.0)));
i++;
}
}
}
break;
#endif
default:
ERREXIT(cinfo, JERR_NOT_COMPILED);
break;
}
}
}
METHODDEF(float)
catmull_rom(const DCTELEM value1, const DCTELEM value2, const DCTELEM value3, const DCTELEM value4, const float t, int size)
{
const int tan1 = (value3 - value1) * size;
const int tan2 = (value4 - value2) * size;
const float t2 = t * t;
const float t3 = t2 * t;
const float f1 = 2.f * t3 - 3.f * t2 + 1.f;
const float f2 = -2.f * t3 + 3.f * t2;
const float f3 = t3 - 2.f * t2 + t;
const float f4 = t3 - t2;
return value2 * f1 + tan1 * f3 +
value3 * f2 + tan2 * f4;
}
/** Prevents visible ringing artifacts near hard edges on white backgrounds.
1. JPEG can encode samples with higher values than it's possible to display (higher than 255 in RGB),
and the decoder will always clamp values to 0-255. To encode 255 you can use any value >= 255,
and distortions of the out-of-range values won't be visible as long as they decode to anything >= 255.
2. From DCT perspective pixels in a block are a waveform. Hard edges form square waves (bad).
Edges with white are similar to waveform clipping, and anti-clipping algorithms can turn square waves
into softer ones that compress better.
*/
METHODDEF(void)
preprocess_deringing(DCTELEM *data, const JQUANT_TBL *quantization_table)
{
const DCTELEM maxsample = 255 - CENTERJSAMPLE;
const int size = DCTSIZE * DCTSIZE;
/* Decoders don't handle overflow of DC very well, so calculate
maximum overflow that is safe to do without increasing DC out of range */
int sum = 0;
int maxsample_count = 0;
int i;
DCTELEM maxovershoot;
int n;
for(i=0; i < size; i++) {
sum += data[i];
if (data[i] >= maxsample) {
maxsample_count++;
}
}
/* If nothing reaches max value there's nothing to overshoot
and if the block is completely flat, it's already the best case. */
if (!maxsample_count || maxsample_count == size) {
return;
}
/* Too much overshoot is not good: increased amplitude will cost bits, and the cost is proportional to quantization (here using DC quant as a rough guide). */
maxovershoot = maxsample + MIN(MIN(31, 2*quantization_table->quantval[0]), (maxsample * size - sum) / maxsample_count);
n = 0;
do {
int start, end, length;
DCTELEM f1, f2, l1, l2, fslope, lslope;
float step, position;
/* Pixels are traversed in zig-zag order to process them as a line */
if (data[jpeg_natural_order[n]] < maxsample) {
n++;
continue;
}
/* Find a run of maxsample pixels. Start is the first pixel inside the range, end the first pixel outside. */
start = n;
while(++n < size && data[jpeg_natural_order[n]] >= maxsample) {}
end = n;
/* the run will be replaced with a catmull-rom interpolation of values from the edges */
/* Find suitable upward slope from pixels around edges of the run.
Just feeding nearby pixels as catmull rom points isn't good enough,
as slope with one sample before the edge may have been flattened by clipping,
and slope of two samples before the edge could be downward. */
f1 = data[jpeg_natural_order[start >= 1 ? start-1 : 0]];
f2 = data[jpeg_natural_order[start >= 2 ? start-2 : 0]];
l1 = data[jpeg_natural_order[end < size-1 ? end : size-1]];
l2 = data[jpeg_natural_order[end < size-2 ? end+1 : size-1]];
fslope = MAX(f1-f2, maxsample-f1);
lslope = MAX(l1-l2, maxsample-l1);
/* if slope at the start/end is unknown, just make the curve symmetric */
if (start == 0) {
fslope = lslope;
}
if (end == size) {
lslope = fslope;
}
/* The curve fits better if first and last pixel is omitted */
length = end - start;
step = 1.f/(float)(length + 1);
position = step;
for(i = start; i < end; i++, position += step) {
DCTELEM tmp = ceilf(catmull_rom(maxsample - fslope, maxsample, maxsample, maxsample - lslope, position, length));
data[jpeg_natural_order[i]] = MIN(tmp, maxovershoot);
}
n++;
}
while(n < size);
}
/*
Float version of preprocess_deringing()
*/
METHODDEF(void)
float_preprocess_deringing(FAST_FLOAT *data, const JQUANT_TBL *quantization_table)
{
const FAST_FLOAT maxsample = 255 - CENTERJSAMPLE;
const int size = DCTSIZE * DCTSIZE;
FAST_FLOAT sum = 0;
int maxsample_count = 0;
int i;
int n;
FAST_FLOAT maxovershoot;
for(i=0; i < size; i++) {
sum += data[i];
if (data[i] >= maxsample) {
maxsample_count++;
}
}
if (!maxsample_count || maxsample_count == size) {
return;
}
maxovershoot = maxsample + MIN(MIN(31, 2*quantization_table->quantval[0]), (maxsample * size - sum) / maxsample_count);
n = 0;
do {
int start, end, length;
FAST_FLOAT f1, f2, l1, l2, fslope, lslope;
float step, position;
if (data[jpeg_natural_order[n]] < maxsample) {
n++;
continue;
}
start = n;
while(++n < size && data[jpeg_natural_order[n]] >= maxsample) {}
end = n;
f1 = data[jpeg_natural_order[start >= 1 ? start-1 : 0]];
f2 = data[jpeg_natural_order[start >= 2 ? start-2 : 0]];
l1 = data[jpeg_natural_order[end < size-1 ? end : size-1]];
l2 = data[jpeg_natural_order[end < size-2 ? end+1 : size-1]];
fslope = MAX(f1-f2, maxsample-f1);
lslope = MAX(l1-l2, maxsample-l1);
if (start == 0) {
fslope = lslope;
}
if (end == size) {
lslope = fslope;
}
length = end - start;
step = 1.f/(float)(length + 1);
position = step;
for(i = start; i < end; i++, position += step) {
FAST_FLOAT tmp = catmull_rom(maxsample - fslope, maxsample, maxsample, maxsample - lslope, position, length);
data[jpeg_natural_order[i]] = MIN(tmp, maxovershoot);
}
n++;
}
while(n < size);
}
/*
* Load data into workspace, applying unsigned->signed conversion.
*/
METHODDEF(void)
convsamp (JSAMPARRAY sample_data, JDIMENSION start_col, DCTELEM *workspace)
{
register DCTELEM *workspaceptr;
register JSAMPROW elemptr;
register int elemr;
workspaceptr = workspace;
for (elemr = 0; elemr < DCTSIZE; elemr++) {
elemptr = sample_data[elemr] + start_col;
#if DCTSIZE == 8 /* unroll the inner loop */
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
#else
{
register int elemc;
for (elemc = DCTSIZE; elemc > 0; elemc--)
*workspaceptr++ = (*elemptr++) - CENTERJSAMPLE;
}
#endif
}
}
/*
* Quantize/descale the coefficients, and store into coef_blocks[].
*/
METHODDEF(void)
quantize (JCOEFPTR coef_block, DCTELEM *divisors, DCTELEM *workspace)
{
int i;
DCTELEM temp;
JCOEFPTR output_ptr = coef_block;
#if BITS_IN_JSAMPLE == 8
UDCTELEM recip, corr;
int shift;
UDCTELEM2 product;
for (i = 0; i < DCTSIZE2; i++) {
temp = workspace[i];
recip = divisors[i + DCTSIZE2 * 0];
corr = divisors[i + DCTSIZE2 * 1];
shift = divisors[i + DCTSIZE2 * 3];
if (temp < 0) {
temp = -temp;
product = (UDCTELEM2)(temp + corr) * recip;
product >>= shift + sizeof(DCTELEM)*8;
temp = (DCTELEM)product;
temp = -temp;
} else {
product = (UDCTELEM2)(temp + corr) * recip;
product >>= shift + sizeof(DCTELEM)*8;
temp = (DCTELEM)product;
}
output_ptr[i] = (JCOEF) temp;
}
#else
register DCTELEM qval;
for (i = 0; i < DCTSIZE2; i++) {
qval = divisors[i];
temp = workspace[i];
/* Divide the coefficient value by qval, ensuring proper rounding.
* Since C does not specify the direction of rounding for negative
* quotients, we have to force the dividend positive for portability.
*
* In most files, at least half of the output values will be zero
* (at default quantization settings, more like three-quarters...)
* so we should ensure that this case is fast. On many machines,
* a comparison is enough cheaper than a divide to make a special test
* a win. Since both inputs will be nonnegative, we need only test
* for a < b to discover whether a/b is 0.
* If your machine's division is fast enough, define FAST_DIVIDE.
*/
#ifdef FAST_DIVIDE
#define DIVIDE_BY(a,b) a /= b
#else
#define DIVIDE_BY(a,b) if (a >= b) a /= b; else a = 0
#endif
if (temp < 0) {
temp = -temp;
temp += qval>>1; /* for rounding */
DIVIDE_BY(temp, qval);
temp = -temp;
} else {
temp += qval>>1; /* for rounding */
DIVIDE_BY(temp, qval);
}
output_ptr[i] = (JCOEF) temp;
}
#endif
}
/*
* Perform forward DCT on one or more blocks of a component.
*
* The input samples are taken from the sample_data[] array starting at
* position start_row/start_col, and moving to the right for any additional
* blocks. The quantized coefficients are returned in coef_blocks[].
*/
METHODDEF(void)
forward_DCT (j_compress_ptr cinfo, jpeg_component_info *compptr,
JSAMPARRAY sample_data, JBLOCKROW coef_blocks,
JDIMENSION start_row, JDIMENSION start_col,
JDIMENSION num_blocks, JBLOCKROW dst)
/* This version is used for integer DCT implementations. */
{
/* This routine is heavily used, so it's worth coding it tightly. */
my_fdct_ptr fdct = (my_fdct_ptr) cinfo->fdct;
DCTELEM *divisors = fdct->divisors[compptr->quant_tbl_no];
JQUANT_TBL *qtbl = cinfo->quant_tbl_ptrs[compptr->quant_tbl_no];
DCTELEM *workspace;
JDIMENSION bi;
/* Make sure the compiler doesn't look up these every pass */
forward_DCT_method_ptr do_dct = fdct->dct;
convsamp_method_ptr do_convsamp = fdct->convsamp;
preprocess_method_ptr do_preprocess = fdct->preprocess;
quantize_method_ptr do_quantize = fdct->quantize;
workspace = fdct->workspace;
sample_data += start_row; /* fold in the vertical offset once */
for (bi = 0; bi < num_blocks; bi++, start_col += DCTSIZE) {
/* Load data into workspace, applying unsigned->signed conversion */
(*do_convsamp) (sample_data, start_col, workspace);
if (do_preprocess) {
(*do_preprocess) (workspace, qtbl);
}
/* Perform the DCT */
(*do_dct) (workspace);
/* Save unquantized transform coefficients for later trellis quantization */
if (dst) {
int i;
if (cinfo->dct_method == JDCT_IFAST) {
// reciprocal table of integer fractions to be
// multiplied instead of divided
#ifndef FAST_WAY
static const INT32 aanscales_recip[DCTSIZE2] = {
32768,23624,25079,27866,32768,41705,60547,118776,
23624,17032,18081,20090,23624,30068,43651,85625,
25079,18081,19195,21328,25079,31920,46341,90902,
27866,20090,21328,23698,27866,35467,51493,101010,
32768,23624,25079,27866,32768,41705,60547,118776,
41705,30068,31920,35467,41705,53081,77059,151146,
60547,43651,46341,51493,60547,77059,111871,219489,
118776,85625,90902,101010,118776,151146,219489,430530
};
#else
static const INT16 aanscales[DCTSIZE2] = {
/* precomputed values scaled up by 14 bits */
16384, 22725, 21407, 19266, 16384, 12873, 8867, 4520,
22725, 31521, 29692, 26722, 22725, 17855, 12299, 6270,
21407, 29692, 27969, 25172, 21407, 16819, 11585, 5906,
19266, 26722, 25172, 22654, 19266, 15137, 10426, 5315,
16384, 22725, 21407, 19266, 16384, 12873, 8867, 4520,
12873, 17855, 16819, 15137, 12873, 10114, 6967, 3552,
8867, 12299, 11585, 10426, 8867, 6967, 4799, 2446,
4520, 6270, 5906, 5315, 4520, 3552, 2446, 1247
};
#endif
{
DCTELEM *s = workspace;
INT16 *pDest = (INT16*)&dst[bi][0];
INT32 *pSrc = (INT32 *)&aanscales_recip[0];
#ifdef __aarch64__
int16x8_t in0, in1;
int32x4_t work0, work1, work2, work3;
int32x4_t scale0,scale1,scale2,scale3;
int32x4_t round = vdupq_n_s32(0x4000);
int16_t *p16 = (int16_t *)&workspace[0];
int32_t *p32 = (int32_t *)&aanscales_recip[0];
int16_t *d = &dst[bi][0];
for (i=0; i<4; i++)
{
in0 = vld1q_s16(p16 + 0);
in1 = vld1q_s16(p16 + 8);
p16 += 16;
scale0 = vld1q_s32(p32 + 0);
scale1 = vld1q_s32(p32 + 4);
scale2 = vld1q_s32(p32 + 8);
scale3 = vld1q_s32(p32 + 12);
p32 += 16;
work0 = vmovl_s16(vget_low_s16(in0)); // widen and adjust for rounding
work1 = vmovl_s16(vget_high_s16(in0));
work2 = vmovl_s16(vget_low_s16(in1));
work3 = vmovl_s16(vget_high_s16(in1));
work0 = vmulq_s32(work0, scale0); // multiply by the scaling factor
work1 = vmulq_s32(work1, scale1);
work2 = vmulq_s32(work2, scale2);
work3 = vmulq_s32(work3, scale3);
work0 = vaddq_s32(work0, round); // add the rounding adjustment
work1 = vaddq_s32(work1, round);
work2 = vaddq_s32(work2, round);
work3 = vaddq_s32(work3, round);
in0 = vcombine_s16(vshrn_n_s32(work0, 15), vshrn_n_s32(work1, 15)); // final output
in1 = vcombine_s16(vshrn_n_s32(work2, 15), vshrn_n_s32(work3, 15));
vst1q_s16(d, in0);
vst1q_s16(d+8, in1);
d += 16;
}
#else
// C code that compiles well
// for (i = 0; i < DCTSIZE2; i++) {
// int x = ((*s++ * *pSrc++) + 16384) >> 15;
// *pDest++ = (INT16)x;
// }
__m128i in0, in1;
__m128i work0, work1, work2, work3;
__m128i scale0,scale1,scale2,scale3;
__m128i round = _mm_set1_epi32(0x4000);
int16_t *p16 = (int16_t *)&workspace[0];
int32_t *p32 = (int32_t *)&aanscales_recip[0];
int16_t *d = &dst[bi][0];
for (i=0; i<4; i++)
{
in0 = _mm_loadu_si128((__m128i*)&p16[0]);
in1 = _mm_loadu_si128((__m128i*)&p16[8]);
p16 += 16;
scale0 = _mm_loadu_si128((__m128i*)&p32[0]);
scale1 = _mm_loadu_si128((__m128i*)&p32[4]);
scale2 = _mm_loadu_si128((__m128i*)&p32[8]);
scale3 = _mm_loadu_si128((__m128i*)&p32[12]);
p32 += 16;
work0 = _mm_cvtepi16_epi32(in0); // widen and adjust for rounding
work2 = _mm_cvtepi16_epi32(in1);
in0 = _mm_srli_si128(in0, 8); // shift down upper half
in1 = _mm_srli_si128(in1, 8);
work1 = _mm_cvtepi16_epi32(in0);
work3 = _mm_cvtepi16_epi32(in1);
work0 = _mm_mullo_epi32(work0, scale0); // multiply by the scaling factor
work1 = _mm_mullo_epi32(work1, scale1);
work2 = _mm_mullo_epi32(work2, scale2);
work3 = _mm_mullo_epi32(work3, scale3);
work0 = _mm_add_epi32(work0, round); // add the rounding adjustment
work1 = _mm_add_epi32(work1, round);
work2 = _mm_add_epi32(work2, round);
work3 = _mm_add_epi32(work3, round);
work0 = _mm_srai_epi32(work0, 15);
work1 = _mm_srai_epi32(work1, 15);
work2 = _mm_srai_epi32(work2, 15);
work3 = _mm_srai_epi32(work3, 15);
in0 = _mm_packs_epi32(work0, work1); // final output
in1 = _mm_packs_epi32(work2, work3);
_mm_storeu_si128((__m128i*)d, in0);
_mm_storeu_si128((__m128i*)&d[8], in1);
d += 16;
}
//#ifndef FAST_WAY
// x = ((x * s) + 16384) >> 15;
//#else
// int x = *s++;
// int s = aanscales[i];
// x = (x >= 0) ? (x * 32768 + s) / (2*s) : (x * 32768 - s) / (2*s);
//#endif
// This loop takes a significant amount of the total compression time
// due to the conditional statement and integer divide
// x = (x >= 0) ? (x * 32768 + s) / (2*s) : (x * 32768 - s) / (2*s);
// A simpler multiply-by-reciprocal algorithm accomplishes the same thing
// with the same precision and the same rounding behavior, but is able to be
// auto-vectorized by the compiler and speeds up compression significantly
#endif
}
} else {
for (i = 0; i < DCTSIZE2; i++) {
dst[bi][i] = workspace[i];
}
}
}
/* Quantize/descale the coefficients, and store into coef_blocks[] */
(*do_quantize) (coef_blocks[bi], divisors, workspace);
if (do_preprocess) {
int i;
int maxval = (1 << MAX_COEF_BITS) - 1;
#if defined (__aarch64__) || defined (__arm__) || defined (__arm64__)
{
int16x8_t in0, in1, in2, in3;
int16x8_t max_x8, min_x8;
int16_t *s = &coef_blocks[bi][0];
max_x8 = vdupq_n_s16(maxval);
min_x8 = vdupq_n_s16(-maxval);
for (i=0; i<2; i++) {
in0 = vld1q_s16(&s[0]);
in1 = vld1q_s16(&s[8]);
in2 = vld1q_s16(&s[16]);
in3 = vld1q_s16(&s[24]);
in0 = vmaxq_s16(in0, min_x8);
in1 = vmaxq_s16(in1, min_x8);
in2 = vmaxq_s16(in2, min_x8);
in3 = vmaxq_s16(in3, min_x8);
in0 = vminq_s16(in0, max_x8);
in1 = vminq_s16(in1, max_x8);
in2 = vminq_s16(in2, max_x8);
in3 = vminq_s16(in3, max_x8);
vst1q_s16(&s[0], in0);
vst1q_s16(&s[8], in1);
vst1q_s16(&s[16], in2);
vst1q_s16(&s[24], in3);
s += 32;
}
}
#else // x64 version
{
__m128i in0, in1, in2, in3;
__m128i max_x8, min_x8;
int16_t *s = &coef_blocks[bi][0];
max_x8 = _mm_set1_epi16(maxval);
min_x8 = _mm_set1_epi16(-maxval);
for (i=0; i<2; i++) {
in0 = _mm_loadu_si128((__m128i*)&s[0]);
in1 = _mm_loadu_si128((__m128i*)&s[8]);
in2 = _mm_loadu_si128((__m128i*)&s[16]);
in3 = _mm_loadu_si128((__m128i*)&s[24]);
in0 = _mm_max_epi16(in0, min_x8);
in1 = _mm_max_epi16(in1, min_x8);
in2 = _mm_max_epi16(in2, min_x8);
in3 = _mm_max_epi16(in3, min_x8);
in0 = _mm_min_epi16(in0, max_x8);
in1 = _mm_min_epi16(in1, max_x8);
in2 = _mm_min_epi16(in2, max_x8);
in3 = _mm_min_epi16(in3, max_x8);
_mm_storeu_si128((__m128i*)&s[0], in0);
_mm_storeu_si128((__m128i*)&s[8], in1);
_mm_storeu_si128((__m128i*)&s[16], in2);
_mm_storeu_si128((__m128i*)&s[24], in3);
s += 32;
}
}
#endif
#ifdef OLD_CODE
for (i = 0; i < 64; i++) {
if (coef_blocks[bi][i] < -maxval)
coef_blocks[bi][i] = -maxval;
if (coef_blocks[bi][i] > maxval)
coef_blocks[bi][i] = maxval;
}
#endif
}
}
}
#ifdef DCT_FLOAT_SUPPORTED
METHODDEF(void)
convsamp_float(JSAMPARRAY sample_data, JDIMENSION start_col,
FAST_FLOAT *workspace)
{
register FAST_FLOAT *workspaceptr;
register JSAMPROW elemptr;
register int elemr;
workspaceptr = workspace;
for (elemr = 0; elemr < DCTSIZE; elemr++) {
elemptr = sample_data[elemr] + start_col;
#if DCTSIZE == 8 /* unroll the inner loop */
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
#else
{
register int elemc;
for (elemc = DCTSIZE; elemc > 0; elemc--)
*workspaceptr++ = (FAST_FLOAT)((*elemptr++) - CENTERJSAMPLE);
}
#endif
}
}
METHODDEF(void)
quantize_float(JCOEFPTR coef_block, FAST_FLOAT *divisors,
FAST_FLOAT *workspace)
{
register FAST_FLOAT temp;
register int i;
register JCOEFPTR output_ptr = coef_block;
for (i = 0; i < DCTSIZE2; i++) {
/* Apply the quantization and scaling factor */
temp = workspace[i] * divisors[i];
/* Round to nearest integer.
* Since C does not specify the direction of rounding for negative
* quotients, we have to force the dividend positive for portability.
* The maximum coefficient size is +-16K (for 12-bit data), so this
* code should work for either 16-bit or 32-bit ints.
*/
output_ptr[i] = (JCOEF) ((int) (temp + (FAST_FLOAT) 16384.5) - 16384);
}
}
METHODDEF(void)
forward_DCT_float (j_compress_ptr cinfo, jpeg_component_info *compptr,
JSAMPARRAY sample_data, JBLOCKROW coef_blocks,
JDIMENSION start_row, JDIMENSION start_col,
JDIMENSION num_blocks, JBLOCKROW dst)
/* This version is used for floating-point DCT implementations. */
{
/* This routine is heavily used, so it's worth coding it tightly. */
my_fdct_ptr fdct = (my_fdct_ptr) cinfo->fdct;