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fhpack - compression for Apple II hi-res images

fhpack is a compression tool with a singular purpose: to compress Apple II hi-res graphics images. It uses a modified version of the LZ4 compression format, called LZ4FH ("fadden's hi-res").

Origins

I've had an idea for a project involving hi-res graphics compression for several years, but didn't do much about it. After learning about LZ4, and seeing uncompressors written for the 6502 and 65816, I decided to see if I could apply LZ4 to hi-res images.

A few hi-res compressors were written back in The Day, usually employing run-length encoding, which is easy to write and fast to encode and decode. In the spirit of LZ4, I decided to put together an asymmetric codec, meaning compression is very very slow, but uncompression is very very fast.

The result is a modified form of LZ4 that consistently beats LZ4-HC, and generally comes close to (and occasionally beats) ShrinkIt's LZW/II. The decoder is tiny and extremely fast, especially on the 65816 where the bulk data copy instructions can be used.

About the fhpack Tool

The compressor has two modes, similar to LZ4's "fast" and "high". The fast mode uses greedy parsing and is not particularly fast, while the high-compression mode uses optimal parsing and takes 12 times as long. Both employ simple brute-force algorithms, which we can get away with because we're only compressing 8KB of data. The high-compression mode does about 4% better on average -- not huge, but not negligible.

Other compression programs, such as gzip, produce significantly smaller output, but uncompression is much slower and requires more memory.

The comments in fhpack.cpp describe the data format.

There is no implementation of the compression side for the 6502. An implementation that uses greedy parsing is feasible, as the bulk of the time is spent comparing 8-bit strings that are less than 256 bytes long, and the 6502 series is pretty good at that. The optimal parser could theoretically be done on a machine with 128KB of RAM, but would take a very long time to run.

Screen Holes

The hi-res screen has a curious interleaved structure that leaves "holes" in memory -- parts of the frame buffer that don't affect what appears on screen. The screen layout is divided into 128-byte sections, with 120 bytes of visible data followed by an eight byte "hole". The holes tend to be filled with zeroes, though sometimes they may contain garbage or program state.

fhpack can do one of three things with the screen holes:

  1. Preserve them. This mode is enabled with the "-h" flag. If you want the uncompressed data to exactly match the original, you must specify this flag.
  2. Fill them with zeroes.
  3. Fill them with a pattern that matches the data immediately before or after the hole.

In some cases #2 provides the best results, in others #3 wins. The difference is usual minimal, with outliers in the 70-90 byte range. On modern hardware fhpack runs very quickly, so when not in hole-preserve mode the tool compresses everything twice, and keeps whichever approach yielded the smallest output.

Apple II Code and Demos

The 6502/65816 versions of the uncompressor (source and binaries), as well as two slideshow applications written in Applesoft and a number of sample files, are provided on the attached disk images (click "view raw" to download them from github).

There are six disk images. The first three hold the slide show demo:

  • LZ4FHDemo.do (/LZ4FH, 140KB) - Source and object code for the uncompression routines, plus a few test images and the Applesoft "SLIDESHOW" program.
  • UncompressedSlides.do (/SLIDESHOW, 140KB) - A set of 16 uncompressed hi-res images.
  • CompressedSlides.do (/SLIDESHOW, 140KB) - A set of 42 compressed hi-res images.

To view the demo, put the LZ4FHDemo image in slot 6 drive 1, and one of the "slide" disks in slot 6 drive 2. Boot the disk and "-SLIDESHOW". Just hit return at the prompt to accept the default prefix.

The slideshow program will scan the specified directory and identify files that appear to be compressed or uncompressed hi-res images. It will then start a slide show, moving through them as quickly as possible. By swapping the compressed and uncompressed disks and restarting the program, you can compare the performance with and without compression. (For a 5.25" disk, it's generally faster to load a compressed image and uncompress it than it is to load an uncompressed image.)

There is a second demo, called "HYPERSLIDE", which shows off the raw performance by eliminating the disk accesses. A set of 15 images is loaded into just 24KB of memory -- overwriting BASIC.System -- and presented as a slide show as quickly as possible. The demo and selected images are on this disk:

  • HyperSlide.po (/HYPERSLIDE, 140KB)

To run the demo, put the disk image in slot 6 drive 1, boot the disk, and "-HYPERSLIDE". If you are running on a IIgs, you may want to try it with the 65816 uncompressor, which is much faster than the 6502 version. If you want to compute frame timings, you can set an iteration count, and the slide show will beep at the start and end.

A larger set of images is available on a pair of 800KB disks. One disk has the compressed form, the other the uncompressed form:

  • UncompressedImages.po (/IMAGES, 800KB)
  • CompressedImages.po (/IMAGES.LZ4H, 800KB)

It's worth noting that the images on CompressedSlides.do take up about 135KB of disk space, but are about 104KB combined. The rest of the space is used up by filesystem overhead. Storing them in a ShrinkIt archive would be more efficient, but would also make them far more difficult to unpack.

Decoder Performance

Running under AppleWin with "authentic" disk access speed enabled, a slide show of uncompressed images runs at about 1.7 seconds per image (about 0.6fps). With compressed images the time varies, because the size of the compressed image affects the amount of disk activity, but it averages about 1.4 seconds per image (about 0.7 fps).

Removing disk activity from the equation, HyperSlide improves that to about 4.3 fps, with very little variation between files. The decode time is dominated by byte copies, and we're always copying 8KB, so the consistency is expected.

HyperSlide incurs a fair bit of overhead from Applesoft BASIC. The "blitz test", included on the LZ4FH demo disk, generates machine language calls that uncompress the same image 100x, eliminating all overhead (and simulating what HyperSlide could do if it weren't written in BASIC). The speed improves to 5.6 fps. To put that into perspective, you could unpack a green image twice in the time it takes "CALL 62454" to clear the screen to green.

The most significant boost in speed comes from using the 65816 data move instructions. With a 65816 implementation, still running at 1MHz, HyperSlide hits 7.7 fps, and BLITZTEST tops 12 fps.

Code Notes

The uncompressor takes as arguments the addresses of the compressed data and the buffer to uncompress to. These are poked into memory locations $02FC and $02FE. In the current implementation, the output buffer must be $2000 or $4000 (the two hi-res pages).

Packed images use the FOT ($08) file type, with an auxtype of $8066 (0x66 is ASCII 'f'). These files can be viewed with CiderPress v4.0.1 and later.

Experimental Results

I grabbed a set of about 70 images, most from games, a few from early "contributed program" disks. The latter include what look like digitized scans that don't compress especially well.

All images were compressed with LZ4 r131 in high-compression mode (lz4 -9), NuLib2 with LZW/II, and LZ4FH (fhpack -9). fhpack output has a one-byte magic number, while LZ4-HC has 15 bytes of headers and footers, so for a fair "raw data" comparison the numbers should be adjusted appropriately.

Most source images are 8192 bytes long, some are a few bytes shorter.

Image File LZ4-HC fhpack LZW/II
contrib/BABY.JANE 3664 3617 2851
contrib/CHARACTERS 1874 1836 1614
contrib/CHURCHILL 4759 4723 3749
contrib/DIP.CHIPS 3840 3785 3048
contrib/DOLLAR 3838 3790 3483
contrib/DOUBLE.BESSEL 3066 3010 2566
contrib/GIRLS.BEST.FRND 5967 5933 4659
contrib/HOPALONG 3394 3331 2713
contrib/JOE.SENT.ME 7569 7546 7702
contrib/LADY.BE.GOOD 4119 4060 3292
contrib/MACROMETER 4405 4354 3613
contrib/MUSIC 1077 1030 929
contrib/RANDOM.LADY 5754 5720 5426
contrib/ROCKY.RACCOON 5864 5754 5598
contrib/SHAKESPEARE 4933 4884 4286
contrib/SPIRALLELLO 5722 5704 5345
contrib/SQUEEZE 3209 3163 2533
contrib/TEQUILA 5881 5828 5484
contrib/TEX 4463 4413 3677
contrib/TIME.MACHINE 3628 3578 3023
contrib/UNCLE.SAM 3057 3012 2784
contrib/WORLD.MAP 2792 2723 2429
games/ABM.TITLE 1387 1353 1581
games/ARCHON.TITLE 5607 5589 4991
games/AZTEC.TITLE 6378 6362 6414
games/BAM.TITLE 5380 5377 4902
games/BANDITS.TITLE 1442 1388 1376
games/BARDS.TALE.1 3853 3815 3523
games/BILESTOAD 2140 1559 2552
games/BORG.TITLE 2327 2559 2009
games/CAPT.GOODNIGHT 2839 2820 2726
games/CHOPLIFTER 1088 1007 1070
games/CRISIS.MT.GAME 4144 4085 4037
games/CRISIS.MT.TITLE 2290 2246 2384
games/DAVID.MIDNIGHT 3362 3322 3225
games/DEFENDER 728 696 678
games/EAMON.TITLE 3744 3665 3252
games/GALACTIC.EMPIRE 2161 2087 1956
games/GERMANY.1985 2566 2460 2390
games/HARD.HAT.MAC 1524 1457 1678
games/KADASH.DEMO 1796 1736 2120
games/KADASH.TITLE 5317 5294 5393
games/KARATE.TITLE 4040 3845 3952
games/KARATEKA.FORT 4050 3955 3452
games/KARATEKA.GAME 948 904 1108
games/LODE.RUNNER 1133 1102 1428
games/MARIO.BROS 1472 1406 1372
games/MAZE.CRAZE 2703 2659 2485
games/MICROWAVE.TITLE 2812 2737 2434
games/NIGHT.FLIGHT 1109 1024 1183
games/ODYSSEY.TITLE 3994 3953 3752
games/OUTWORLD 2222 2157 2296
games/PCS 1897 1837 1861
games/PCS.TITLE 1881 1841 1882
games/QUESTRON.DEMO 2569 2518 2253
games/QUESTRON.TITLE 1536 1499 1837
games/RASTER.BLASTER 2687 2636 2553
games/RESCUE.RAIDERS 5377 4961 4883
games/ROADWAR2K.TITLE 2063 1983 2068
games/SPARE.CHANGE 2058 2009 2268
games/STAR.MAZE 1253 1208 1600
games/STARSHIP.CMDR 1453 1427 1845
games/STELLAR.7 1629 1412 1845
games/SUNDOG.TITLE 3250 3188 3270
games/SWASHBUCK.GAME 4690 4608 4286
games/SWASHBUCK.TITLE 5077 5035 5085
games/TRANQUILITY 1409 1363 1273
games/ULT2.LORD.BRIT 1529 1514 1592
games/ULTIMA2.TITLE 2220 2176 2201
games/WASTELAND.TITLE 3540 3078 3510
games/WAYOUT 1691 1669 1864
games/WOLFEN.TITLE 2638 2588 2610
games/ZAXXON 1884 1862 1769
misc/CRAPS.TABLE 2286 2266 2548
misc/GHOSTBUST.LOGO 1829 1724 1594
misc/LINE.CHART 1753 1655 1578
misc/MICKEY 3369 3316 2945
misc/WHO.LOGO 1138 1084 1218
test/allgreen 63 137 215
test/allzero 62 136 38
test/nomatch 8211 7928 7414
TOTAL 248473 242771 232201
                    |  37.4% |  36.5% |  34.9% |

Note: test/nomatch is not compressible by LZ4 encoding. fhpack was able to compress it because it zeroed out the "screen holes". When processed in hole-preservation mode, test/nomatch expands to 8292 bytes.

LZSS, which was used by HardPressed to get reasonable compression with fast decode speeds, reduces the corpus to 243991 bytes (36.7%), making it a viable alternative. It's generally inferior to LZ4 as the maximum match length and offset are much shorter, but that's not too significant for hi-res images. Literals are identified with individual flag bits, rather than as runs of bytes, which reduces performance for long strings of literals.

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Compression for Apple II hi-res images

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  • C++ 70.7%
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