📄 jquant1.pas
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Unit JQuant1;
{ This file contains 1-pass color quantization (color mapping) routines.
These routines provide mapping to a fixed color map using equally spaced
color values. Optional Floyd-Steinberg or ordered dithering is available. }
{ Original: jquant1.c; Copyright (C) 1991-1996, Thomas G. Lane. }
interface
uses
jpeglib;
{$I jconfig.inc}
{GLOBAL}
procedure jinit_1pass_quantizer (cinfo : j_decompress_ptr);
implementation
uses
jmorecfg,
jdeferr,
jerror,
jutils;
{ The main purpose of 1-pass quantization is to provide a fast, if not very
high quality, colormapped output capability. A 2-pass quantizer usually
gives better visual quality; however, for quantized grayscale output this
quantizer is perfectly adequate. Dithering is highly recommended with this
quantizer, though you can turn it off if you really want to.
In 1-pass quantization the colormap must be chosen in advance of seeing the
image. We use a map consisting of all combinations of Ncolors[i] color
values for the i'th component. The Ncolors[] values are chosen so that
their product, the total number of colors, is no more than that requested.
(In most cases, the product will be somewhat less.)
Since the colormap is orthogonal, the representative value for each color
component can be determined without considering the other components;
then these indexes can be combined into a colormap index by a standard
N-dimensional-array-subscript calculation. Most of the arithmetic involved
can be precalculated and stored in the lookup table colorindex[].
colorindex[i][j] maps pixel value j in component i to the nearest
representative value (grid plane) for that component; this index is
multiplied by the array stride for component i, so that the
index of the colormap entry closest to a given pixel value is just
sum( colorindex[component-number][pixel-component-value] )
Aside from being fast, this scheme allows for variable spacing between
representative values with no additional lookup cost.
If gamma correction has been applied in color conversion, it might be wise
to adjust the color grid spacing so that the representative colors are
equidistant in linear space. At this writing, gamma correction is not
implemented by jdcolor, so nothing is done here. }
{ Declarations for ordered dithering.
We use a standard 16x16 ordered dither array. The basic concept of ordered
dithering is described in many references, for instance Dale Schumacher's
chapter II.2 of Graphics Gems II (James Arvo, ed. Academic Press, 1991).
In place of Schumacher's comparisons against a "threshold" value, we add a
"dither" value to the input pixel and then round the result to the nearest
output value. The dither value is equivalent to (0.5 - threshold) times
the distance between output values. For ordered dithering, we assume that
the output colors are equally spaced; if not, results will probably be
worse, since the dither may be too much or too little at a given point.
The normal calculation would be to form pixel value + dither, range-limit
this to 0..MAXJSAMPLE, and then index into the colorindex table as usual.
We can skip the separate range-limiting step by extending the colorindex
table in both directions. }
const
ODITHER_SIZE = 16; { dimension of dither matrix }
{ NB: if ODITHER_SIZE is not a power of 2, ODITHER_MASK uses will break }
ODITHER_CELLS = (ODITHER_SIZE*ODITHER_SIZE); { # cells in matrix }
ODITHER_MASK = (ODITHER_SIZE-1); { mask for wrapping around counters }
type
ODITHER_vector = Array[0..ODITHER_SIZE-1] of int;
ODITHER_MATRIX = Array[0..ODITHER_SIZE-1] of ODITHER_vector;
{ODITHER_MATRIX_PTR = ^array[0..ODITHER_SIZE-1] of int;}
ODITHER_MATRIX_PTR = ^ODITHER_MATRIX;
const
base_dither_matrix : Array[0..ODITHER_SIZE-1,0..ODITHER_SIZE-1] of UINT8
= (
{ Bayer's order-4 dither array. Generated by the code given in
Stephen Hawley's article "Ordered Dithering" in Graphics Gems I.
The values in this array must range from 0 to ODITHER_CELLS-1. }
( 0,192, 48,240, 12,204, 60,252, 3,195, 51,243, 15,207, 63,255 ),
( 128, 64,176,112,140, 76,188,124,131, 67,179,115,143, 79,191,127 ),
( 32,224, 16,208, 44,236, 28,220, 35,227, 19,211, 47,239, 31,223 ),
( 160, 96,144, 80,172,108,156, 92,163, 99,147, 83,175,111,159, 95 ),
( 8,200, 56,248, 4,196, 52,244, 11,203, 59,251, 7,199, 55,247 ),
( 136, 72,184,120,132, 68,180,116,139, 75,187,123,135, 71,183,119 ),
( 40,232, 24,216, 36,228, 20,212, 43,235, 27,219, 39,231, 23,215 ),
( 168,104,152, 88,164,100,148, 84,171,107,155, 91,167,103,151, 87 ),
( 2,194, 50,242, 14,206, 62,254, 1,193, 49,241, 13,205, 61,253 ),
( 130, 66,178,114,142, 78,190,126,129, 65,177,113,141, 77,189,125 ),
( 34,226, 18,210, 46,238, 30,222, 33,225, 17,209, 45,237, 29,221 ),
( 162, 98,146, 82,174,110,158, 94,161, 97,145, 81,173,109,157, 93 ),
( 10,202, 58,250, 6,198, 54,246, 9,201, 57,249, 5,197, 53,245 ),
( 138, 74,186,122,134, 70,182,118,137, 73,185,121,133, 69,181,117 ),
( 42,234, 26,218, 38,230, 22,214, 41,233, 25,217, 37,229, 21,213 ),
( 170,106,154, 90,166,102,150, 86,169,105,153, 89,165,101,149, 85 )
);
{ Declarations for Floyd-Steinberg dithering.
Errors are accumulated into the array fserrors[], at a resolution of
1/16th of a pixel count. The error at a given pixel is propagated
to its not-yet-processed neighbors using the standard F-S fractions,
... (here) 7/16
3/16 5/16 1/16
We work left-to-right on even rows, right-to-left on odd rows.
We can get away with a single array (holding one row's worth of errors)
by using it to store the current row's errors at pixel columns not yet
processed, but the next row's errors at columns already processed. We
need only a few extra variables to hold the errors immediately around the
current column. (If we are lucky, those variables are in registers, but
even if not, they're probably cheaper to access than array elements are.)
The fserrors[] array is indexed [component#][position].
We provide (#columns + 2) entries per component; the extra entry at each
end saves us from special-casing the first and last pixels.
Note: on a wide image, we might not have enough room in a PC's near data
segment to hold the error array; so it is allocated with alloc_large. }
{$ifdef BITS_IN_JSAMPLE_IS_8}
type
FSERROR = INT16; { 16 bits should be enough }
LOCFSERROR = int; { use 'int' for calculation temps }
{$else}
type
FSERROR = INT32; { may need more than 16 bits }
LOCFSERROR = INT32; { be sure calculation temps are big enough }
{$endif}
type
jFSError = 0..(MaxInt div SIZEOF(FSERROR))-1;
FS_ERROR_FIELD = array[jFSError] of FSERROR;
FS_ERROR_FIELD_PTR = ^FS_ERROR_FIELD;{far}
{ pointer to error array (in FAR storage!) }
FSERRORPTR = ^FSERROR;
{ Private subobject }
const
MAX_Q_COMPS = 4; { max components I can handle }
type
my_cquantize_ptr = ^my_cquantizer;
my_cquantizer = record
pub : jpeg_color_quantizer; { public fields }
{ Initially allocated colormap is saved here }
sv_colormap : JSAMPARRAY; { The color map as a 2-D pixel array }
sv_actual : int; { number of entries in use }
colorindex : JSAMPARRAY; { Precomputed mapping for speed }
{ colorindex[i][j] = index of color closest to pixel value j in component i,
premultiplied as described above. Since colormap indexes must fit into
JSAMPLEs, the entries of this array will too. }
is_padded : boolean; { is the colorindex padded for odither? }
Ncolors : array[0..MAX_Q_COMPS-1] of int;
{ # of values alloced to each component }
{ Variables for ordered dithering }
row_index : int; { cur row's vertical index in dither matrix }
odither : array[0..MAX_Q_COMPS-1] of ODITHER_MATRIX_PTR;
{ one dither array per component }
{ Variables for Floyd-Steinberg dithering }
fserrors : array[0..MAX_Q_COMPS-1] of FS_ERROR_FIELD_PTR;
{ accumulated errors }
on_odd_row : boolean; { flag to remember which row we are on }
end;
{ Policy-making subroutines for create_colormap and create_colorindex.
These routines determine the colormap to be used. The rest of the module
only assumes that the colormap is orthogonal.
* select_ncolors decides how to divvy up the available colors
among the components.
* output_value defines the set of representative values for a component.
* largest_input_value defines the mapping from input values to
representative values for a component.
Note that the latter two routines may impose different policies for
different components, though this is not currently done. }
{LOCAL}
function select_ncolors (cinfo : j_decompress_ptr;
var Ncolors : array of int) : int;
{ Determine allocation of desired colors to components, }
{ and fill in Ncolors[] array to indicate choice. }
{ Return value is total number of colors (product of Ncolors[] values). }
var
nc : int;
max_colors : int;
total_colors, iroot, i, j : int;
changed : boolean;
temp : long;
const
RGB_order:array[0..2] of int = (RGB_GREEN, RGB_RED, RGB_BLUE);
begin
nc := cinfo^.out_color_components; { number of color components }
max_colors := cinfo^.desired_number_of_colors;
{ We can allocate at least the nc'th root of max_colors per component. }
{ Compute floor(nc'th root of max_colors). }
iroot := 1;
repeat
Inc(iroot);
temp := iroot; { set temp = iroot ** nc }
for i := 1 to pred(nc) do
temp := temp * iroot;
until (temp > long(max_colors)); { repeat till iroot exceeds root }
Dec(iroot); { now iroot = floor(root) }
{ Must have at least 2 color values per component }
if (iroot < 2) then
ERREXIT1(j_common_ptr(cinfo), JERR_QUANT_FEW_COLORS, int(temp));
{ Initialize to iroot color values for each component }
total_colors := 1;
for i := 0 to pred(nc) do
begin
Ncolors[i] := iroot;
total_colors := total_colors * iroot;
end;
{ We may be able to increment the count for one or more components without
exceeding max_colors, though we know not all can be incremented.
Sometimes, the first component can be incremented more than once!
(Example: for 16 colors, we start at 2*2*2, go to 3*2*2, then 4*2*2.)
In RGB colorspace, try to increment G first, then R, then B. }
repeat
changed := FALSE;
for i := 0 to pred(nc) do
begin
if cinfo^.out_color_space = JCS_RGB then
j := RGB_order[i]
else
j := i;
{ calculate new total_colors if Ncolors[j] is incremented }
temp := total_colors div Ncolors[j];
temp := temp * (Ncolors[j]+1); { done in long arith to avoid oflo }
if (temp > long(max_colors)) then
break; { won't fit, done with this pass }
Inc(Ncolors[j]); { OK, apply the increment }
total_colors := int(temp);
changed := TRUE;
end;
until not changed;
select_ncolors := total_colors;
end;
{LOCAL}
function output_value (cinfo : j_decompress_ptr;
ci : int; j : int; maxj : int) : int;
{ Return j'th output value, where j will range from 0 to maxj }
{ The output values must fall in 0..MAXJSAMPLE in increasing order }
begin
{ We always provide values 0 and MAXJSAMPLE for each component;
any additional values are equally spaced between these limits.
(Forcing the upper and lower values to the limits ensures that
dithering can't produce a color outside the selected gamut.) }
output_value := int (( INT32(j) * MAXJSAMPLE + maxj div 2) div maxj);
end;
{LOCAL}
function largest_input_value (cinfo : j_decompress_ptr;
ci : int; j : int; maxj : int) : int;
{ Return largest input value that should map to j'th output value }
{ Must have largest(j=0) >= 0, and largest(j=maxj) >= MAXJSAMPLE }
begin
{ Breakpoints are halfway between values returned by output_value }
largest_input_value := int (( INT32(2*j + 1) * MAXJSAMPLE +
maxj) div (2*maxj));
end;
{ Create the colormap. }
{LOCAL}
procedure create_colormap (cinfo : j_decompress_ptr);
var
cquantize : my_cquantize_ptr;
colormap : JSAMPARRAY; { Created colormap }
total_colors : int; { Number of distinct output colors }
i,j,k, nci, blksize, blkdist, ptr, val : int;
begin
cquantize := my_cquantize_ptr (cinfo^.cquantize);
{ Select number of colors for each component }
total_colors := select_ncolors(cinfo, cquantize^.Ncolors);
{ Report selected color counts }
{$IFDEF DEBUG}
if (cinfo^.out_color_components = 3) then
TRACEMS4(j_common_ptr(cinfo), 1, JTRC_QUANT_3_NCOLORS,
total_colors, cquantize^.Ncolors[0],
cquantize^.Ncolors[1], cquantize^.Ncolors[2])
else
TRACEMS1(j_common_ptr(cinfo), 1, JTRC_QUANT_NCOLORS, total_colors);
{$ENDIF}
{ Allocate and fill in the colormap. }
{ The colors are ordered in the map in standard row-major order, }
{ i.e. rightmost (highest-indexed) color changes most rapidly. }
colormap := cinfo^.mem^.alloc_sarray(
j_common_ptr(cinfo), JPOOL_IMAGE,
JDIMENSION(total_colors), JDIMENSION(cinfo^.out_color_components));
{ blksize is number of adjacent repeated entries for a component }
{ blkdist is distance between groups of identical entries for a component }
blkdist := total_colors;
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