/* * reserved comment block * DO NOT REMOVE OR ALTER!
*/ /* * jquant1.c * * Copyright (C) 1991-1996, Thomas G. Lane. * This file is part of the Independent JPEG Group's software. * For conditions of distribution and use, see the accompanying README file. * * 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.
*/
/* * 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.
*/
#define ODITHER_SIZE 16 /* dimension of dither matrix */ /* NB: if ODITHER_SIZE is not a power of 2, ODITHER_MASK uses will break */ #define ODITHER_CELLS (ODITHER_SIZE*ODITHER_SIZE) /* # cells in matrix */ #define ODITHER_MASK (ODITHER_SIZE-1) /* mask for wrapping around counters */
/* 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.
*/
#if BITS_IN_JSAMPLE == 8 typedef INT16 FSERROR; /* 16 bits should be enough */ typedefint LOCFSERROR; /* use 'int' for calculation temps */ #else typedef INT32 FSERROR; /* may need more than 16 bits */ typedef INT32 LOCFSERROR; /* be sure calculation temps are big enough */ #endif
typedef FSERROR FAR *FSERRPTR; /* pointer to error array (in FAR storage!) */
/* Private subobject */
#define MAX_Q_COMPS 4 /* max components I can handle */
typedefstruct { struct jpeg_color_quantizer pub; /* public fields */
/* Initially allocated colormap is saved here */
JSAMPARRAY sv_colormap; /* The color map as a 2-D pixel array */ int sv_actual; /* number of entries in use */
JSAMPARRAY colorindex; /* 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.
*/
boolean is_padded; /* is the colorindex padded for odither? */
int Ncolors[MAX_Q_COMPS]; /* # of values alloced to each component */
/* Variables for ordered dithering */ int row_index; /* cur row's vertical index in dither matrix */
ODITHER_MATRIX_PTR odither[MAX_Q_COMPS]; /* one dither array per component */
/* Variables for Floyd-Steinberg dithering */
FSERRPTR fserrors[MAX_Q_COMPS]; /* accumulated errors */
boolean on_odd_row; /* flag to remember which row we are on */
} my_cquantizer;
typedef my_cquantizer * my_cquantize_ptr;
/* * 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(int)
select_ncolors (j_decompress_ptr cinfo, int Ncolors[]) /* 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). */
{ int nc = cinfo->out_color_components; /* number of color components */ int max_colors = cinfo->desired_number_of_colors; int total_colors, iroot, i, j;
boolean changed; long temp; staticconstint RGB_order[3] = { RGB_GREEN, RGB_RED, RGB_BLUE };
/* We can allocate at least the nc'th root of max_colors per component. */ /* Compute floor(nc'th root of max_colors). */
iroot = 1; do {
iroot++;
temp = iroot; /* set temp = iroot ** nc */ for (i = 1; i < nc; i++)
temp *= iroot;
} while (temp <= (long) max_colors); /* repeat till iroot exceeds root */
iroot--; /* now iroot = floor(root) */
/* Must have at least 2 color values per component */ if (iroot < 2)
ERREXIT1(cinfo, JERR_QUANT_FEW_COLORS, (int) temp);
/* Initialize to iroot color values for each component */
total_colors = 1; for (i = 0; i < nc; i++) {
Ncolors[i] = iroot;
total_colors *= iroot;
} /* 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.
*/ do {
changed = FALSE; for (i = 0; i < nc; i++) {
j = (cinfo->out_color_space == JCS_RGB ? RGB_order[i] : i); /* calculate new total_colors if Ncolors[j] is incremented */
temp = total_colors / Ncolors[j];
temp *= Ncolors[j]+1; /* done in long arith to avoid oflo */ if (temp > (long) max_colors) break; /* won't fit, done with this pass */
Ncolors[j]++; /* OK, apply the increment */
total_colors = (int) temp;
changed = TRUE;
}
} while (changed);
return total_colors;
}
LOCAL(int)
output_value (j_decompress_ptr cinfo, int ci, int j, int maxj) /* Return j'th output value, where j will range from 0 to maxj */ /* The output values must fall in 0..MAXJSAMPLE in increasing order */
{ /* 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.)
*/ return (int) (((INT32) j * MAXJSAMPLE + maxj/2) / maxj);
}
LOCAL(int)
largest_input_value (j_decompress_ptr cinfo, int ci, int j, int maxj) /* Return largest input value that should map to j'th output value */ /* Must have largest(j=0) >= 0, and largest(j=maxj) >= MAXJSAMPLE */
{ /* Breakpoints are halfway between values returned by output_value */ return (int) (((INT32) (2*j + 1) * MAXJSAMPLE + maxj) / (2*maxj));
}
/* * Create the colormap.
*/
LOCAL(void)
create_colormap (j_decompress_ptr cinfo)
{
my_cquantize_ptr cquantize = (my_cquantize_ptr) cinfo->cquantize;
JSAMPARRAY colormap; /* Created colormap */ int total_colors; /* Number of distinct output colors */ int i,j,k, nci, blksize, blkdist, ptr, val;
/* Select number of colors for each component */
total_colors = select_ncolors(cinfo, cquantize->Ncolors);
/* 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. */
/* blksize is number of adjacent repeated entries for a component */ /* blkdist is distance between groups of identical entries for a component */
blkdist = total_colors;
for (i = 0; i < cinfo->out_color_components; i++) { /* fill in colormap entries for i'th color component */
nci = cquantize->Ncolors[i]; /* # of distinct values for this color */
blksize = blkdist / nci; for (j = 0; j < nci; j++) { /* Compute j'th output value (out of nci) for component */
val = output_value(cinfo, i, j, nci-1); /* Fill in all colormap entries that have this value of this component */ for (ptr = j * blksize; ptr < total_colors; ptr += blkdist) { /* fill in blksize entries beginning at ptr */ for (k = 0; k < blksize; k++)
colormap[i][ptr+k] = (JSAMPLE) val;
}
}
blkdist = blksize; /* blksize of this color is blkdist of next */
}
/* Save the colormap in private storage, * where it will survive color quantization mode changes.
*/
cquantize->sv_colormap = colormap;
cquantize->sv_actual = total_colors;
}
/* For ordered dither, we pad the color index tables by MAXJSAMPLE in * each direction (input index values can be -MAXJSAMPLE .. 2*MAXJSAMPLE). * This is not necessary in the other dithering modes. However, we * flag whether it was done in case user changes dithering mode.
*/ if (cinfo->dither_mode == JDITHER_ORDERED) {
pad = MAXJSAMPLE*2;
cquantize->is_padded = TRUE;
} else {
pad = 0;
cquantize->is_padded = FALSE;
}
/* blksize is number of adjacent repeated entries for a component */
blksize = cquantize->sv_actual;
for (i = 0; i < cinfo->out_color_components; i++) { /* fill in colorindex entries for i'th color component */
nci = cquantize->Ncolors[i]; /* # of distinct values for this color */
blksize = blksize / nci;
/* adjust colorindex pointers to provide padding at negative indexes. */ if (pad)
cquantize->colorindex[i] += MAXJSAMPLE;
/* in loop, val = index of current output value, */ /* and k = largest j that maps to current val */
indexptr = cquantize->colorindex[i];
val = 0;
k = largest_input_value(cinfo, i, 0, nci-1); for (j = 0; j <= MAXJSAMPLE; j++) { while (j > k) /* advance val if past boundary */
k = largest_input_value(cinfo, i, ++val, nci-1); /* premultiply so that no multiplication needed in main processing */
indexptr[j] = (JSAMPLE) (val * blksize);
} /* Pad at both ends if necessary */ if (pad) for (j = 1; j <= MAXJSAMPLE; j++) {
indexptr[-j] = indexptr[0];
indexptr[MAXJSAMPLE+j] = indexptr[MAXJSAMPLE];
}
}
}
/* * Create an ordered-dither array for a component having ncolors * distinct output values.
*/
LOCAL(ODITHER_MATRIX_PTR)
make_odither_array (j_decompress_ptr cinfo, int ncolors)
{
ODITHER_MATRIX_PTR odither; int j,k;
INT32 num,den;
odither = (ODITHER_MATRIX_PTR)
(*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE, SIZEOF(ODITHER_MATRIX)); /* The inter-value distance for this color is MAXJSAMPLE/(ncolors-1). * Hence the dither value for the matrix cell with fill order f * (f=0..N-1) should be (N-1-2*f)/(2*N) * MAXJSAMPLE/(ncolors-1). * On 16-bit-int machine, be careful to avoid overflow.
*/
den = 2 * ODITHER_CELLS * ((INT32) (ncolors - 1)); for (j = 0; j < ODITHER_SIZE; j++) { for (k = 0; k < ODITHER_SIZE; k++) {
num = ((INT32) (ODITHER_CELLS-1 - 2*((int)base_dither_matrix[j][k])))
* MAXJSAMPLE; /* Ensure round towards zero despite C's lack of consistency * about rounding negative values in integer division...
*/
odither[j][k] = (int) (num<0 ? -((-num)/den) : num/den);
}
} return odither;
}
/* * Create the ordered-dither tables. * Components having the same number of representative colors may * share a dither table.
*/
LOCAL(void)
create_odither_tables (j_decompress_ptr cinfo)
{
my_cquantize_ptr cquantize = (my_cquantize_ptr) cinfo->cquantize;
ODITHER_MATRIX_PTR odither; int i, j, nci;
for (i = 0; i < cinfo->out_color_components; i++) {
nci = cquantize->Ncolors[i]; /* # of distinct values for this color */
odither = NULL; /* search for matching prior component */ for (j = 0; j < i; j++) { if (nci == cquantize->Ncolors[j]) {
odither = cquantize->odither[j]; break;
}
} if (odither == NULL) /* need a new table? */
odither = make_odither_array(cinfo, nci);
cquantize->odither[i] = odither;
}
}
/* * Map some rows of pixels to the output colormapped representation.
*/
METHODDEF(void)
quantize_ord_dither (j_decompress_ptr cinfo, JSAMPARRAY input_buf,
JSAMPARRAY output_buf, int num_rows) /* General case, with ordered dithering */
{
my_cquantize_ptr cquantize = (my_cquantize_ptr) cinfo->cquantize; register JSAMPROW input_ptr; register JSAMPROW output_ptr;
JSAMPROW colorindex_ci; int * dither; /* points to active row of dither matrix */ int row_index, col_index; /* current indexes into dither matrix */ int nc = cinfo->out_color_components; int ci; int row;
JDIMENSION col;
JDIMENSION width = cinfo->output_width;
for (row = 0; row < num_rows; row++) { /* Initialize output values to 0 so can process components separately */
jzero_far((void FAR *) output_buf[row],
(size_t) (width * SIZEOF(JSAMPLE)));
row_index = cquantize->row_index; for (ci = 0; ci < nc; ci++) {
input_ptr = input_buf[row] + ci;
output_ptr = output_buf[row];
colorindex_ci = cquantize->colorindex[ci];
dither = cquantize->odither[ci][row_index];
col_index = 0;
for (col = width; col > 0; col--) { /* Form pixel value + dither, range-limit to 0..MAXJSAMPLE, * select output value, accumulate into output code for this pixel. * Range-limiting need not be done explicitly, as we have extended * the colorindex table to produce the right answers for out-of-range * inputs. The maximum dither is +- MAXJSAMPLE; this sets the * required amount of padding.
*/
*output_ptr += colorindex_ci[GETJSAMPLE(*input_ptr)+dither[col_index]];
input_ptr += nc;
output_ptr++;
col_index = (col_index + 1) & ODITHER_MASK;
}
} /* Advance row index for next row */
row_index = (row_index + 1) & ODITHER_MASK;
cquantize->row_index = row_index;
}
}
METHODDEF(void)
quantize3_ord_dither (j_decompress_ptr cinfo, JSAMPARRAY input_buf,
JSAMPARRAY output_buf, int num_rows) /* Fast path for out_color_components==3, with ordered dithering */
{
my_cquantize_ptr cquantize = (my_cquantize_ptr) cinfo->cquantize; registerint pixcode; register JSAMPROW input_ptr; register JSAMPROW output_ptr;
JSAMPROW colorindex0 = cquantize->colorindex[0];
JSAMPROW colorindex1 = cquantize->colorindex[1];
JSAMPROW colorindex2 = cquantize->colorindex[2]; int * dither0; /* points to active row of dither matrix */ int * dither1; int * dither2; int row_index, col_index; /* current indexes into dither matrix */ int row;
JDIMENSION col;
JDIMENSION width = cinfo->output_width;
METHODDEF(void)
quantize_fs_dither (j_decompress_ptr cinfo, JSAMPARRAY input_buf,
JSAMPARRAY output_buf, int num_rows) /* General case, with Floyd-Steinberg dithering */
{
my_cquantize_ptr cquantize = (my_cquantize_ptr) cinfo->cquantize; register LOCFSERROR cur; /* current error or pixel value */
LOCFSERROR belowerr; /* error for pixel below cur */
LOCFSERROR bpreverr; /* error for below/prev col */
LOCFSERROR bnexterr; /* error for below/next col */
LOCFSERROR delta; register FSERRPTR errorptr; /* => fserrors[] at column before current */ register JSAMPROW input_ptr; register JSAMPROW output_ptr;
JSAMPROW colorindex_ci;
JSAMPROW colormap_ci; int pixcode; int nc = cinfo->out_color_components; int dir; /* 1 for left-to-right, -1 for right-to-left */ int dirnc; /* dir * nc */ int ci; int row;
JDIMENSION col;
JDIMENSION width = cinfo->output_width;
JSAMPLE *range_limit = cinfo->sample_range_limit;
SHIFT_TEMPS
for (row = 0; row < num_rows; row++) { /* Initialize output values to 0 so can process components separately */
jzero_far((void FAR *) output_buf[row],
(size_t) (width * SIZEOF(JSAMPLE))); for (ci = 0; ci < nc; ci++) {
input_ptr = input_buf[row] + ci;
output_ptr = output_buf[row]; if (cquantize->on_odd_row) { /* work right to left in this row */
input_ptr += (width-1) * nc; /* so point to rightmost pixel */
output_ptr += width-1;
dir = -1;
dirnc = -nc;
errorptr = cquantize->fserrors[ci] + (width+1); /* => entry after last column */
} else { /* work left to right in this row */
dir = 1;
dirnc = nc;
errorptr = cquantize->fserrors[ci]; /* => entry before first column */
}
colorindex_ci = cquantize->colorindex[ci];
colormap_ci = cquantize->sv_colormap[ci]; /* Preset error values: no error propagated to first pixel from left */
cur = 0; /* and no error propagated to row below yet */
belowerr = bpreverr = 0;
for (col = width; col > 0; col--) { /* cur holds the error propagated from the previous pixel on the * current line. Add the error propagated from the previous line * to form the complete error correction term for this pixel, and * round the error term (which is expressed * 16) to an integer. * RIGHT_SHIFT rounds towards minus infinity, so adding 8 is correct * for either sign of the error value. * Note: errorptr points to *previous* column's array entry.
*/
cur = RIGHT_SHIFT(cur + errorptr[dir] + 8, 4); /* Form pixel value + error, and range-limit to 0..MAXJSAMPLE. * The maximum error is +- MAXJSAMPLE; this sets the required size * of the range_limit array.
*/
cur += GETJSAMPLE(*input_ptr);
cur = GETJSAMPLE(range_limit[cur]); /* Select output value, accumulate into output code for this pixel */
pixcode = GETJSAMPLE(colorindex_ci[cur]);
*output_ptr += (JSAMPLE) pixcode; /* Compute actual representation error at this pixel */ /* Note: we can do this even though we don't have the final */ /* pixel code, because the colormap is orthogonal. */
cur -= GETJSAMPLE(colormap_ci[pixcode]); /* Compute error fractions to be propagated to adjacent pixels. * Add these into the running sums, and simultaneously shift the * next-line error sums left by 1 column.
*/
bnexterr = cur;
delta = cur * 2;
cur += delta; /* form error * 3 */
errorptr[0] = (FSERROR) (bpreverr + cur);
cur += delta; /* form error * 5 */
bpreverr = belowerr + cur;
belowerr = bnexterr;
cur += delta; /* form error * 7 */ /* At this point cur contains the 7/16 error value to be propagated * to the next pixel on the current line, and all the errors for the * next line have been shifted over. We are therefore ready to move on.
*/
input_ptr += dirnc; /* advance input ptr to next column */
output_ptr += dir; /* advance output ptr to next column */
errorptr += dir; /* advance errorptr to current column */
} /* Post-loop cleanup: we must unload the final error value into the * final fserrors[] entry. Note we need not unload belowerr because * it is for the dummy column before or after the actual array.
*/
errorptr[0] = (FSERROR) bpreverr; /* unload prev err into array */
}
cquantize->on_odd_row = (cquantize->on_odd_row ? FALSE : TRUE);
}
}
/* * Allocate workspace for Floyd-Steinberg errors.
*/
/* Initialize for desired dithering mode. */ switch (cinfo->dither_mode) { case JDITHER_NONE: if (cinfo->out_color_components == 3)
cquantize->pub.color_quantize = color_quantize3; else
cquantize->pub.color_quantize = color_quantize; break; case JDITHER_ORDERED: if (cinfo->out_color_components == 3)
cquantize->pub.color_quantize = quantize3_ord_dither; else
cquantize->pub.color_quantize = quantize_ord_dither;
cquantize->row_index = 0; /* initialize state for ordered dither */ /* If user changed to ordered dither from another mode, * we must recreate the color index table with padding. * This will cost extra space, but probably isn't very likely.
*/ if (! cquantize->is_padded)
create_colorindex(cinfo); /* Create ordered-dither tables if we didn't already. */ if (cquantize->odither[0] == NULL)
create_odither_tables(cinfo); break; case JDITHER_FS:
cquantize->pub.color_quantize = quantize_fs_dither;
cquantize->on_odd_row = FALSE; /* initialize state for F-S dither */ /* Allocate Floyd-Steinberg workspace if didn't already. */ if (cquantize->fserrors[0] == NULL)
alloc_fs_workspace(cinfo); /* Initialize the propagated errors to zero. */
arraysize = (size_t) ((cinfo->output_width + 2) * SIZEOF(FSERROR)); for (i = 0; i < cinfo->out_color_components; i++)
jzero_far((void FAR *) cquantize->fserrors[i], arraysize); break; default:
ERREXIT(cinfo, JERR_NOT_COMPILED); break;
}
}
/* * Finish up at the end of the pass.
*/
METHODDEF(void)
finish_pass_1_quant (j_decompress_ptr cinfo)
{ /* no work in 1-pass case */
}
/* * Switch to a new external colormap between output passes. * Shouldn't get to this module!
*/
cquantize = (my_cquantize_ptr)
(*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE, SIZEOF(my_cquantizer));
cinfo->cquantize = (struct jpeg_color_quantizer *) cquantize;
cquantize->pub.start_pass = start_pass_1_quant;
cquantize->pub.finish_pass = finish_pass_1_quant;
cquantize->pub.new_color_map = new_color_map_1_quant;
cquantize->fserrors[0] = NULL; /* Flag FS workspace not allocated */
cquantize->odither[0] = NULL; /* Also flag odither arrays not allocated */
/* Make sure my internal arrays won't overflow */ if (cinfo->out_color_components > MAX_Q_COMPS)
ERREXIT1(cinfo, JERR_QUANT_COMPONENTS, MAX_Q_COMPS); /* Make sure colormap indexes can be represented by JSAMPLEs */ if (cinfo->desired_number_of_colors > (MAXJSAMPLE+1))
ERREXIT1(cinfo, JERR_QUANT_MANY_COLORS, MAXJSAMPLE+1);
/* Create the colormap and color index table. */
create_colormap(cinfo);
create_colorindex(cinfo);
/* Allocate Floyd-Steinberg workspace now if requested. * We do this now since it is FAR storage and may affect the memory * manager's space calculations. If the user changes to FS dither * mode in a later pass, we will allocate the space then, and will * possibly overrun the max_memory_to_use setting.
*/ if (cinfo->dither_mode == JDITHER_FS)
alloc_fs_workspace(cinfo);
}
#endif/* QUANT_1PASS_SUPPORTED */
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