{
    $Id: numlib.txt,v 1.1 2000/07/13 06:34:15 michael Exp $
    This file is part of the Numlib package.
    Copyright (c) 1986-2000 by
     Kees van Ginneken, Wil Kortsmit and Loek van Reij of the
     Computational centre of the Eindhoven University of Technology

    FPC port Code          by Marco van de Voort (marco@freepascal.org)
             Documentation by Michael van Canneyt (Michael@freepascal.org)

    This is an internal document with information collected during porting
    numlib to FPC

    See the file COPYING.FPC, included in this distribution,
    for details about the copyright.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

 **********************************************************************}

NumLib ported.txt, internals or "Developpers docs".

ARBFLOAT, basic Floating point type.
-----------------------------------

In the FPC revision instead of picking a certain floating point type,
a new type "ArbFloat" is defined which is used as floating point type
throughout the entire library. If the floating point type is changed,
define or undefine ArbExtended and add the machineconstants change to
the type selected.

This allows IEEE Double (64bit) and Extended(80bit).

ARBINT, basic INTEGER type.
-----------------------------------

Because in plain FPC mode Integer =16-bits (for TP compatibility), and in
Delphi 32-bits, I changed all integers to ArbInt.
The basic idea is the same as ArbFloat, but it is less consequently used,
mainly because some typecastings of pointers to words existed. These
typecastings should never be 16-bits in FPC, so all local variables are
longint. (which is currently always 32bits)

VECTOR or MATRIX as ArbFloat.
-----------------------------------
NumLib often passes Matrices and Vectors as one ArbFloat + some integer
values, then maps the following pmatrix type over it, and accesses it as an
array or vector:

procedure dosomething(var invalue:ArbFloat);

type Row=ARRAY[0..maxelements] OF ArbFloat;
     Matrix=Array[0..maxelements] OF ^ROW;
     pmatrix=^matrix;

Var pa : pmatrix;
begin
 pa=@invalue;
 pa[x]^[y]:=valuexy
END;

The calling side looks like this:

VAR L : ARRAY[0..1999] OF ArbFloat;

DoSomething(L[0]);

-----------
Questions that remain open/incompleteneses in the package we got:

- Typ, mdt and Dsl,spl are undocumented. Typ is quite understandable though.
  Mdt and dsl contain probably procedures that, in earlier version were
  used as locals in some unit. When the procedures were also used in other units,
  they were moved to a different unit, but the documentation wasn't extended.
  SPL is different in many ways. Contains comments (including some english
  ones)
- All procedures with an extra l appended to the name in unit SLE are
  undocumented.
- The archive we got seems to be a copy of the working directory of the author,
    a snapshot during a never finished restructure. (probably matlab and
    similar programs took over)
   The sources/finished directory was the "new" archive, which generated a
   .dll. All graphics using routines, and new units were never finished.
   The problem is that also the documentation was never finished.
- How to implement a less ugly calling convention, without loosing speed.
  (which still can be important in nummerics)?

Other remarks:
- Spe needs some constants recalculated to get full precision for extended,
  the files to calc the constants aren't included. (copied from some reference
  book?) Some units have literature references in the documentation. Spe
  (Murphy's law) doesn't. Some other units (INT) also have this problem.
- Found out what MDT does. MDT is the core of DET. Det just reads a vector,
    reformats it to form a matrix, and then passes it to MDT.
  Such a vector only contains the required fields to build a certain kind of
  matrix. (e.g. for a bandmatrix, the diagonals). MDT=Matrix determinant.

-------------
Some translation problems:

I left the term "Bandmatrix" untranslated, and give the mathematical definition
here, and hope you know what it is in english:

If A is a "n x n" bandmatrix with leftbound l, and rightbound r then

Aij=0 if j<i-l or j>i+r
{
  $Log: numlib.txt,v $
  Revision 1.1  2000/07/13 06:34:15  michael
  + Initial import

  Revision 1.2  2000/01/25 20:22:31  marco
   * small changes

  Revision 1.1  2000/01/24 22:11:28  marco
   * initial version

}
