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- Short: Linear algebra and number theory. Bin.
- Author: pari@ceremab.u-bordeaux.fr, nisse@lysator.liu.se
- Uploader: nisse@lysator.liu.se
- Type: misc/math
-
- About PARI (14 dec 1993)
- ----------
-
- PARI is the name of a sophisticated and free math package. GP is a
- calculator that offers all the features of PARI and some more. PARI
- uses *infinite* precision rational numbers and *arbitrary* precision
- floating point numbers.
-
- You can use complex numbers, vectors, matrices, polynomials, rational
- functions and taylor expansions. PARI also handles integers mod n,
- finite fields, algebraic numbers and p-adic numbers. PARI includes
- standard numerical methods and the GP calculator also includes
- hi-resolution plotting.
-
- PARI is written by four professional number theorists, C. Batut,
- D. Bernardi, H. Cohen and M. Olivier. The latter two are Professors of
- Mathematics.
-
- -------
-
- This amiga distribution contains the GP calculator compiled for
- different processors, an emacs mode for running GP, partial
- documentation, and all the amiga specific files I used to compile GP.
- The amiga hi-resolution plotting functions are written by Jerry
- Tunnell, who kindly let me use and distribute them.
-
- If you want full source and documentation, you will have to get the
- source distribution. It *should* be available where you found this
- package, as file pari-1.38.3.gz or something similar (*Please* keep
- this archive and the source archive together. If you like GP, you will
- probably want the documentation too). If you can't find the source
- anywhere else, you can try to ftp to megrez.ceremab.u-bordeaux.fr,
- directory pub/pari/unix. This is the main PARI site.
-
-
- Files
- -----
-
- amiga/ Amiga specific files and sources.
- makefile.68000 Makefiles for different amiga versions.
- makefile.68020
- makefile.68881
- mpAmiga.s Assembler file (gcc syntax) for the 68020 versions.
- Converted from mp.s with the convert68k.el program in
- the elisp directory.
- plotAmiga.c Hi-resolution plotting functions, written by J.B. Tunnell.
- version68k.diff Source diffs to add an Amiga version string.
- versionport.diff
-
- bin/
- gp.68000 GP binaries for different processors.
- gp.68020
- gp.68881
-
- doc/ This directory does not contain the complete documentation,
- usersch3.tex only one file that is needed by pari.el
-
- elisp/
- convert68k.el Elisp program to convert a sun3 style 68k assembler file
- (read mp.s) into something that amiga gcc can understand.
- pari.el An Emacs mode for the GP calculator. Desribed below and
- pari.elc in the file pari.txt
- pari.menu Used by pari.el.
- pari.txt A description of pari-mode
-
- examples/
- EXPLAIN Description of the examples.
- Makefile Note that you cannot compile the C example
- Makesimple without the libpari.a library.
- bench.gp
- clareg.gp
- lucas.gp
- mattrans.c
- rho.gp
- squfof.gp
- tutnf.gp
- tutnfout
-
-
- Starting PARI
- -------------
-
- First, you need to install Markus Wild's ixemul.library, if you don't
- have it already. Version 39.45 is the most recent non-buggy version I
- know of (39.47 seems to be unreliable). This library is available on
- Aminet (for example at ftp.luth.se) and is included in the gcc
- distribution.
-
- GP (file gp.68020 or whichever version you use) takes three command line
- options. The most important is '-s STACKSIZE'. This sets the initial
- size of the internal PARI stack (not to be confused with the task
- stack). The default value is 4 MB which may be more RAM than you have
- available. Try 'gp -s 1000000' or 'gp -s 100000' if GP refuses to
- start. The other two flags are '-p PRIMELIMIT' and '-b BUFFERSIZE'.
- Default values are 500000 and 30000 respectively.
-
- Talking about the task stack, I don't know exactly how large it must
- be. I use a stack of 100000 bytes, and that seems to be enough. To set
- the task stack, use the command 'STACK 100000' command from the shell,
- not the -s option to GP.
-
- At the pari command prompt (default '?'), \q or CTRL-\ exits GP. You
- can type '?' to get some on-line help. Note that running GP inside
- emacs gives you better online help.
-
- The GP command interface is quite straight forward if you are used to
- MATLAB or similar systems. Note that with GP both vectors and matrices
- are typed with with square brackets '[' ']', with comma ',' separating
- elements on the same row and semicolon ';' separating rows. For
- example, a 2-2 matrix is typed '[1,2 ; 3,4]'.
-
- The emacs mode.
- ---------------
- To use this on the amiga, you must make sure that you have mounted the
- FIFO: device, and that the SHELL environment variable is set to some
- unix-style shell. I use the shell distributed with gcc, a port of
- pdksh (file name gcc/bin/sh). The shell distributed with GNUemacs
- might work too, but I haven't tried it. The emacs mode is described in
- the file elisp/pari.txt. If you don't wan't to edit the pari.el file,
- you should assign PARI: to the directory where you have installed
- PARI.
-
- Known bugs
- ----------
- GP does not respond to CTRL-C when run from the shell. However, if you
- send the CTRL-C signal from another shell window (with the BREAK
- command) or type CTRL-C in GP's emacs buffer, GP is interrupted.
-
- A free() call occasionally failes when using the 68000 or 68020
- versions of GP. I have not had this problem with the 68881 version.
-
- I'm tempted to blame both these problems on the ixemul.library, but
- I'm not sure what happens.
-
- For those who are curious about the differences between the three
- versions gp.68000, gp.68020 and gp.68881:
-
- * The first two are compiled with gcc -msoftfloat instead of gcc
- -m68881. If a 68881 processor is present, all three version makes use
- of it. The performance difference between the gp.68020 and the 68881
- version should be rather small on any machine that can run both. I
- included the 68881 because it seemes more reliable.
-
- * In the 68020 and 68881 versions, some low level functions are
- written in 68020 assembler, while the 68000 version is written
- entirely in C and is compiled with gcc -m68000 to make sure that it
- contains only 68000 instructions.
-
- -------
- Enjoy GP!
-
- Feel free to send me comments and questions (and even bug reports).
- Niels Möller
- Ställdalsvägen 11
- 122 43 Enskede
- SWEDEN
- email: nisse@lysator.liu.se
-
- For questions and bug reports not specific to the amiga version, you
- can also write to the authors:
- pari@ceremab.u-bordeaux.fr
-
-
- ============================= Archive contents =============================
-
- Original Packed Ratio Date Time Name
- -------- ------- ----- --------- -------- -------------
- 3810 1338 64.8% 07-Dec-93 00:42:02 +makefile.68000
- 3822 1345 64.8% 08-Dec-93 22:11:46 +makefile.68020
- 3820 1345 64.7% 08-Dec-93 11:50:54 +makefile.68881
- 252237 41121 83.6% 06-Dec-93 23:43:52 +mpAmiga.s
- 18263 4075 77.6% 10-Nov-93 20:54:16 +plotAmiga.c
- 357 246 31.0% 08-Dec-93 22:17:18 +version68k.diff
- 360 248 31.1% 08-Dec-93 22:17:34 +versionport.diff
- 741836 347584 53.1% 08-Dec-93 19:52:18 +gp.68000
- 664588 332545 49.9% 10-Dec-93 20:07:46 +gp.68020
- 653256 328318 49.7% 06-Dec-93 23:45:06 +gp.68881
- 186465 56779 69.5% 25-Nov-93 17:43:22 +usersch3.tex
- 3537 1332 62.3% 17-Sep-93 20:21:12 +convert68k.el
- 25992 7880 69.6% 08-Dec-93 23:33:00 +pari.el
- 16577 6269 62.1% 08-Dec-93 23:10:42 +pari.elc
- 3710 1621 56.3% 06-Nov-93 11:46:46 +pari.menu
- 9737 3698 62.0% 18-Jul-93 13:24:50 +pari.txt
- 100 84 16.0% 05-Aug-93 11:33:36 +bench.gp
- 2169 1108 48.9% 01-Nov-93 18:30:14 +clareg.gp
- 3319 1602 51.7% 01-Nov-93 18:29:14 +EXPLAIN
- 52 52 0.0% 05-Aug-93 11:33:16 +lucas.gp
- 182 136 25.2% 04-Nov-93 03:53:16 +Makefile
- 151 129 14.5% 05-Nov-93 11:52:34 +Makesimple
- 1483 805 45.7% 02-May-93 16:06:40 +mattrans.c
- 260 149 42.6% 05-Aug-93 11:36:46 +rho.gp
- 709 394 44.4% 07-Feb-93 04:24:20 +squfof.gp
- 1745 856 50.9% 03-Dec-93 12:16:48 +tutnf.gp
- 7956 3048 61.6% 03-Dec-93 12:19:08 +tutnfout
- 3265 1495 54.2% 28-Nov-93 18:04:40 Newin1.39
- 3086 1615 47.6% 01-Nov-93 18:48:50 README
- 6156 2926 52.4% 18-Dec-93 14:51:22 README.amiga
- 534 319 40.2% 01-Nov-93 18:45:16 TODO
- -------- ------- ----- --------- --------
- 2619534 1150462 56.0% 08-Jun-95 10:09:10 31 files
-