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026.README.DOC
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1992-12-20
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┌──── ┌────┐ ┐ Timothy Harris
│ │ │ │ 5 Burnham Park Road
│ ├────┤ │ Peverell
└──── │ │ └─── Plymouth,
───── ──── ENGLAND, PL3 5QB
v3·42 THarris@UK.AC.PLYM.SC
To execute CAL type `CAL' with the current directory set to the
one in which the CAL.EXE, CAL.OVR and CAL.CFG files reside.
CAL will run on a floppy-disk-only machine but copying all the
files to the hard drive and executing them from there (run
`INSTALL.BAT' to do this for you) will allow for quicker access
to the help information.
CAL is public domain and you are therefore encouraged to give
copies of it to other people - however these copies must be in
an unmodified form and any charge made must be for media and
distribution costs only.
The latest version is available from me on receit of a blank
disk and SAE, or a cheque for £2·20 - remember to specify what
type of disk you are using.
Hardware requirements:
CAL will work on almost any machine described as `PC-Compatable' that
uses the DOS operating system. A maths coprocessor is not required but,
if fitted, will allow images to be created several times more quickly.
All operations can be performed using the keyboard, although using a mouse
is easier for many operations. Calculations can be performed more
accurately and more quickly on machines fitted with a 386sx processor
or better, but the program is still compatable with older machines.
Improved image quality is available with super VGA graphics cards offering
256 colours from a palette of 262144. Provision will be made for the new
cards allowing 32768 colours on the screen at once as soon as I can get
hold of the technical specifications of such a card.
Due to the large size of the program, and the fact that the computer only
stores part of it in memory at once, CAL is best used running from a hard
drive. If this is not possible, but around 2MB of expanded or extended
memory is available, install the RAMDRIVE.SYS utility supplied with DOS
(see DOS reference guides) and run CAL from the ramdrive. CAL can use
expanded memory for storing pieces of the code, resulting in slight
improvements in execution speed. CAL does not require, nor does it
use, extended memory.
Recent additions to CAL:
1. CAL now automatically detects if a 386 processor (or better) is
being used and will use an improved integer arithmetic algorithm
if possible.
2. Recently added fractal types:
- Composite images (this allows options such as loading a saved
image in the form of a sphere or 3D landscape)
- Julia set (select Mandelbrot set and then Choose Julia Set from
the Fractal menu)
- Ushiki's phoenix and associated Julia-type sets
- Lyapunov space image
- Images from applying Newton's method to zⁿ-1=0
- Gumowski and Mira attractor
- Symmetrical attractors
- Quaternion Julia sets
- Gingerbread person
A total of 15 fractals are now available from CAL - and the user defined
formula option can be used to create many more.
3. A data compression algorithm is used for saving images, which means that
less disk space is usually required for keeping a collection of pictures.
Additionally a new option - save details only - has been added which
stores only the imformation needed to recreate the fractal (typically
around 1K) rather than the complete image.
For details on these fractals, and any others that are available,
select the Current fractal types option from the Welcome to CAL! help
screen. This is available by pressing F1 as soon as CAL has loaded.
4. A batch drawing mode has been added which will scan the disk for any
unfinished images and complete them. This can be used overnight, or
when the computer is not going to be used for a while, to finish off
any images that there was not time to complete in one go.
5. Improvements have been made to the user defined formula option which
allows trigonometry to be perfomed on complex numbers. Formulae can
be changed without leaving CAL by using a built-in editor.
6. The user defined formulae option has also been improved to allow fractals
such as the Henon Attractor (where individual points are plotted instead
of an image covering the whole screen) to be entered. Additionally,
fractal formulae created using Fractint and saved in an FRM file can be
imported to and exported from CAL.
An introduction to CAL:
1. As an introduction press Return as soon as CAL has loaded to draw
the default image. If your copy of the CAL files is the same as the
set that I distribute this should be the Mandelbrot set in the
256 colour 320x200 mode that is now supported on most computers. If
your machine will not use this mode then read the steps below about
configuring the program.
2. Selecting the graphics resolution... All video cards allow for a
variety of types of display. On earlier models this may be a choice
between a low resolution (i.e. blocky) image with several colours
or a less blocky image in black and white. Later systems have been
capable of 16 colours and most new graphics cards are capable of
displaying 256 colours on the screen at once.
The type of resolution and number of colours to use are chosen
from the `Display mode' option in the `Configurations' menu. Menu
choices are made using the cursor keys to change the highlighted
option and return to select it. If you are using a monochrome display
and find the text lacks contrast then run cal by typing `CAL /M' which
will cause a black and white palette to be used in text modes. Full
colours will still be available (if your display supports them) when
drawing an image.
There are four different types of graphics mode, each progressively
more advanced than the one before:
CGA - one of the original graphics standards and only really included
for machines which do not support more modern displays or to provide
a quick overview of a detailed image. At best you can have four colours
on the screen and the image does appear very blocky. However, CGA modes
are present on almost all computers, including older portable machines.
EGA - EGA allows sixteen colours to be used, although you do not have
control over them to the same degree as is present with later standards.
The resolution is also better - meaning that curves appear less blocky
and images are more detailed.
VGA - VGA appears to the user as an extension to EGA which allows you
to use even higher resolution and to choose the colours that are used
from a palette of colours available from the graphics card.
SVGA - Super VGA is present on most new machines and allows images to
be produced using 256 colours, allowing for such effects as gradual
shifts from one colour to another. The resolution available in SVGA
means that you can see a lot of detail in images but the extra
calculations needed to calculate this detail can slow down drawing.
If you are using SVGA modes you must tell CAL which make of graphics
card is inside the computer (see next section).
3. Configuring the graphics card... It is necessary to set options
about which type of graphics card you are using before any images
may be created in a super VGA display mode. You can change the settings
at any time you want since all the configuration options are contained
within the CAL program itself.
The type of graphics card is chosen in the `SVGA Card Type' option
in the `Options' menu. You should be presented with a list of
about fourteen different types of display card. If the one that you
have fitted is listed there (this is often shown immediately upon
powering up the computer) then select that option and it will be
stored in the configurations file. Note that there are differences
between graphics cards by the same manufacturer (e.g. some Tseng
cards work in different ways to others, even though the image on
the screen appears the same), so it may be necessary to try each
of the variations of the card listed.
If you cannot find your card listed, or do not know what type of card
is fitted to the machine, then try each one in turn until you get
successful results. It is best to have a moderate resolution SVGA
mode selected during these tests (e.g. 640x480 with 256 colours) since
the better standardisation between manufacturers means that non-SVGA
modes will work with any graphics card.
During configuration you may sometimes get a disjointed image. This
is caused by the similar - although not quite identical - methods of
accessing the graphics display employed by some manufacturers. Another
of the SVGA card types will probably give the correct image.
4. The current fractal type to draw (e.g. Henon attractor, Mandelbrot
set etc...) is chosen from the `Select fractal' option in the
`Fractal' menu. Use the up and down cursor keys so that the arrow
points at the fractal that you would like to draw and press the
return key.
5. Further details about using CAL are available using the context sensitive
help facilities. Press F1 at any time during the program and use the
cursor keys to highlight the topic on which you would like more
information before pressing return. The escape key will cancel the help
mode.
Should you encounter any difficulties with CAL, if you have suggestions for
improvements, new fractal algorithms you would like included in future
versions or queries of any kind then do not hesitate to contact me.
Demonstration images:
Since complete images can be very large, demonstration pictures have
been stored in a compressed for so that only the bare minimum of data
is kept. To see the demonstration images, change to the directory in
which CAL resides and start CAL. Choose Batch Mode from the Load/Save
menu and select Start. The images will be automatically drawn and
saved. The Load option can then be used to load them again.
It is probably best to ensure CAL is correctly configured for your
graphics card before doing this - see above - because the demonstration
images were designed to look best in a 800x600 256 colour mode. If
this mode is not available then select the best possible resolution
with the largest number of colours from the Display option in the
Options menu. The demonstration images are called DEMO1.CGF, DEMO2.CGF
etc... When drawing the demonstration images the currently selected
display mode will be used.
Copies of CAL on larger capacity disks (720K upwards) may have additional
images, which are already complete, supplied with them. These include
examples of the Lyapunov fractal (this is very impressive, but can be
slow to calculate without a co-processor) and composite image option.
The latter shows the facilities for creating 3D-landscapes and moulding
images onto a sphere.
Timothy Harris