BASIC 1000D
10 May 2000, revised 15 september 2008
BASIC 1000D
10 May 2000, revised 15 september 2008 |
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The Basic 1000d is a programming language permitting to solve exactly mathematical problems (Computer Algebra). In addition to usual Basic programming, the Basic 1000d manipulates symbols and mathematical expressions. If you have already programmed in Basic, you can learn Basic 1000d quickly and easily. Originally (1990), the software was sold for Atari ST et TT. It is now freeware. You can download it here, with its associated files and commented source code, in a version (1.20) specially adapted for use on Mac's under the emulator NoSTalgia or PC's under the emulator PaCifiST.
The Basic 1000d (version 1.20) software
is available as a disk-image,
disk1.st.sit.hqx or 1000dst.zip (the decompressed files are identical but
named differently), which is directly usable in
the emulators.
This disk-image contains
the program 1000D.PRG, the libraries MATH.Z and STND.Z, the
configuration file CFG1000D.Z, and the on-line help file HELP.Z.
The folder 1000d containing 1000D.PRG,
MATH.Z, STND.Z, CFG1000D.Z and HELP.Z is also available as a zip archive.
On a Mac, this folder can be created by st2mac from the disk-image disk1.st.
The disk-image 1000dprg.zip contains several interesting programs
written in Basic 1000d.
These programs, specially 0TEST.Z, can be used to test the various
emulators.
The utilitaires archive contains
mac2st and st2mac, two programs which permit to exchange files between the Mac
and the NoSTalgia
emulator. C sources are included.
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The source of the Basic 1000d (in 680x0 assembler) is available.
Up to now, I had only a handwritten documentation for it (description of
algorithms and comments on the code).
I have started to type this documentation in the source of the Basic 1000d.
The archive 1000d.src contains the source SYN.Z, with no comments.
This source can be assembled with ASM.PRG, a freeware 680x0 assembler that runs
on Atari TT,
but neither on ST, nor under ST emulators.
This source permits the assembly of a faster version for Atari TT by
setting FLAG30=1 and FLAGTT=1 at the beginning of the source.
ASM.DOC + ASM2.DOC is a 1stWord manual in French of the assembler.
The file algorthm.c is the fully commented source of the Basic 1000d, with
a description of the algorithms.
The added comments are in C++ style.
They will stand out in color by using a C++ text editor.
The comments have not yet all been typed in.
At the time being, the parts commented are the basic subroutines
manipulating the integers, rationals, and floats (including the exp, log, sin,
tan, atn functions).
Documentation on the MC68K (680x0) assembly language can be found at
The documentation is available as TEX sources or pdf files (fast web
display).
Reference Manual (in French)This Reference Manual, in French, was originally published as a book in paper (1990, 529 pages, in French). I still have some of these books in paper left. The file min is easier to download: the 23 illustrations and the two tables in the appendix (ASCI codes and filling patterns) have been omitted.
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This Reference Manual, partly in English, partly in French, is an unfinished translation I did in 1991 of the above Reference Manual (in French). Chapters 1 to 10, 12 and 13 are entirely translated into English. The beginning of chapter 11 and half of chapter 14 are also translated. The rest is in French, with some French words changed into English. For those who cannot read French, it gives enough information for starting to use the Basic 1000d.
This update (1992, in French, 24 pages) corrects some errors and describes new functions.
Floating point real and complex numbers with as many as 1230 digits
The square root of 2 is computed with 1000 digits in 1.3 s
Special functions (Gamma(x), erf, 3j coefficient, ...)
Integers and rational numbers with as many as 19000 digits are manipulated
exactly.
(the factorial 100! is computed exactly in 0.12 s)
Primality test, factoring in prime numbers
(the factoring of 267 - 1 into 193707721 * 761838257287
is obtained in 12 minutes)
Radix from 2 to 36
Modulo arithmetics
Expanding, substitution and factoring of polynomials and rational
fractions
(x9 + y9 is factored in 1 s)
Treatment of algebraic extensions
Derivation, integration and summation
Plane geometry (algebraic treatment)
Series expansion
Linear algebra (matrix determinant and inverse)
Symbolic resolution of systems of equations
On-line help that can be edited
Libraries which enhance the Basic with new functions
(Over 300 programs in 2 libraries are included)
Powerful, easy-to-use debugger
Musical and graphic instructions
Curve plotting
Structured programming
Recursive functions and procedures
The Basic 1000d 1.20 runs perfectly under the NoSTalgia 0.62 emulator
(with TOS 1.0, 1.4 or 1.6) of Philippe Gérin.
The emulation is so splendid that it is much better to run the Basic under
NoSTalgia than on an Atari ST.
On an iMAC DV with a 400 MHz G3, the Basic runs 6 times faster than
on an Atari ST with an 8 MHz 68000.
However, the Basic 1000d is not running properly under the PowerST 0.2 emulator
(also of Philippe Gérin): some functions
return false results or crash the program.
For instance, the command
print intsqr(2^67-1)
does not return 12148001999 under PowerST 0.2.
According to Philippe Gérin, the Basic 1000d runs fine on the coming
PowerST 0.3.
The Basic 1000d runs perfectly on PC's under the PaCifiST emulator of Fréderic Gidouin (I tested versions v0.46 and v0.48 with TOS 1.62). On a 450 MHz PC, the Basic runs about 10 times faster than on an Atari ST with an 8 MHz 68000.
The Basic 1000d is not running properly under the WinSTon v0.4 emulator
of Paul Bates. Some functions return false results or crash the program.
For instance, the instructions:
precision 100
print sin(2)
do not return
0.9092974268256816953960198659117448427022549714478902683789730115309673015407
835446201266889249593803~
