PERFORM

A less evil COBOL toy complex number library

December 29, 2023 COBOL , , , , , , , , , ,

In a previous post ‘The evil of COBOL: everything is in global variables’, I discussed the implementation of a toy complex number library in COBOL.

That example code was a single module, having one paragraph for each function. I used a naming convention to work around the fact that COBOL functions (paragraphs) are completely braindead and have no input nor output parameters, and all such functions in a given loadmodule have access to all the variables of the entire program.

Perhaps you try to call me on my claim that COBOL doesn’t have parameters, nor does it have return values.  That’s true if you consider COBOL paragraphs to be the equivalent to functions.  I’ve heard paragraphs described as not-really-functions, and there’s some truth to that, especially since you can do a PERFORM range that executes a set of paragraphs, and there can be non-intuitive control flow transfers between paragraphs of such a range of execution, that is entirely non-function like.

There is one circumstance where COBOL parameters can be found.  It is actually possible to have both input and output parameters in COBOL, but it can only be done at a program level (i.e.: int main( int argc, char ** )). So, you can write a less braindead COBOL library, with a set of meaningful input and output parameters for each function, by using CALL instead of PERFORM, and a whole set of external programs, one for each of the operations that is desired. With that in mind, I’ve reworked my COBOL complex number toy library to use this program-level organization.  This is still a toy library implementation, but serves to illustrate the ideas.  The previous paragraph implementation can be found in the same repository, in the ../paragraphs-as-library/ directory.

Here are some examples of the functions in this little library, and examples of calls to them.

Multiply code:

And here’s a call to it:

Notice that I’ve opted to use dynamic calls to the COBOL functions, using a copybook that lists all the possible function names:

This frees me from the constraint of having to use inscrutable 8-character function names, which will get confusing as the library grows.

Like everything in COBOL, the verbosity makes it fairly unreadable, but refactoring all paragraphs into external programs, does make the calling code, and even the library functions themselves, much more readable.  It still takes 49 lines of code, to initialize two complex numbers, multiply them and display them to stdout.

Compare to the same thing in C++, which is 18 lines for a grow-your-own complex implementation with multiply:

#include <iostream>

struct complex{
   double re_;
   double im_;
};

complex mult(const complex & a, const complex & b) {
   // (a + b i)(c + d i) = a c - b d + i( b c + a d) 
   return complex{ a.re_ * b.re_ - a.im_ * b.im_,
                   a.im_ * b.re_ + a.re_ * b.im_ };
}

int main()
{
   complex a{1,2};
   complex b{3,4};
   complex c = mult(a, b);
   std::cout << "c = " << c.re_ << " +(" << c.im_ << ") I\n";

   return 0;
}

and only 11 lines if we use the standard library complex implementation:

#include <iostream>
#include <complex>

using complex = std::complex<double>;

int main() 
{  
   complex a{1,2}; 
   complex b{3,4};
   complex c = a * b;
   std::cout << "c = " << c << "\n";

   return 0;
}

Basically, we have one line for each operation: init, init, multiply, display, and all the rest is one-time fluff (the includes, main decl, return, …)

It turns out that the so-called OBJECT oriented COBOL extension to the language (circa Y2K), is basically a packaging of external-style-programs into collections that are class prefixed, just as I’ve done above.  This provides the capability for information hiding, and allows functions to have parameters and return values.  However, this doesn’t try to rectify the fundamental failure of the COBOL language: everything has to be in a global variable.  This language extension appears to be a hack that may have been done primarily for Java integration, which is probably why nobody uses it.  You just can’t take the dinosaur out of COBOL.

Sadly, it didn’t take people long to figure out that it’s incredibly dumb to require all variables to be global.  Even PL/I, which is 59 years old at the time I write this (only five years younger than COBOL), got it right.  They added parameters and return values to functions, and allow functions to have variables that are limited to that scope.  PL/I probably went too far, and added lots of features that are also braindead (like the PL/I macro preprocessor), but the basic language is at least sane.  It’s interesting that COBOL never evolved.  A language like C++ may have evolved too much, and still is, but the most flagrant design flaw in the COBOL language has been there since inception, despite every other language in the world figuring out that sort of stupidity should not be propagated.

Note that I work on the development of a COBOL and PL/I compilation stack.  I really like my work, which is challenging and great fun, and I work with awesome people. That doesn’t stop me from acknowledging that COBOL is a language spawned in hell by Satan. I can love my work, which provides tools for customers allowing them to develop, maintain and debug COBOL code, but also have great pity and remorse for those customers, having inherited ancient code built with an ancient language, and having no easy migration path away from that language.

The evil of COBOL: everything is in global variables

December 7, 2023 COBOL , , , , , , ,

COBOL does not have stack variables.  Everything is a global variable.  There is a loose equivalent of a function, called a paragraph, which can be called using a PERFORM statement, but a paragraph does not have any input or output variables, and no return code, so if you want it to behave like a function, you have to construct some sort of complicated naming convention using your global variables.

I’ve seen real customer COBOL programs with many thousands of global variables.  A production COBOL program is usually a giant sequence of MOVEs, MOVE A TO B, MOVE B TO C, MOVE C TO D, MOVE D TO E, … with various PERFORMs or GOTOs, or other things in between.  If you find that your variable has a bad value in it, that is probably because it has been copied from something that was copied from something, that was copied from something, that’s the output of something else, that was copied from something, 9 or 10 times.

I was toying around with the idea of coding up a COBOL implementation of 2D Euclidean geometric algebra, just as a joke, as it is surely the worst language in the world.  Yes, I work on a COBOL compiler project. The project is a lot of fun, and the people I work with are awesome, but I don’t have to like the language.

If I was to implement this simplest geometric algebra in COBOL, the logical starting place for that would be to implement complex numbers in COBOL first.  That is because we can use a pair of complex numbers to implement a 2D multivector, with one complex number for the vector part, and a complex number for the scalar and pseudoscalar parts.  That technique has been detailed on this blog previously, and also in a Mathematica module Cl20.m.

Trying to implement a couple of complex number operations in COBOL got absurd really fast.  Here’s an example.  First step was to create some complex number types.  I did that with a copybook (include file), like so:

This can be included multiple times, each time with a different name, like so:

The way that I structured all my helper functions, was with one set of global variables for input (at least one), and if appropriate, one output global variable.  Here’s an example:

So, if I want to compute and display a value, I have a whole pile of stupid MOVEs to do in and out of the appropriate global variables for each of the helper routines in question:

I wrote enough of this little complex number library that I could do conjugate, real, imaginary, multiply, inverse, and divide operations.  I can run that little program with the following JCL

//COMPLEX JOB
//A EXEC PGM=COMPLEX
//SYSOUT   DD SYSOUT=*
//STEPLIB  DD DSN=PJOOT.SAMPLE.COMPLEX,
//  DISP=SHR

and get this SYSOUT:

STEP A SYSOUT:
A                    =  .10000000000000000E 01 + ( .20000000000000000E 01) I
B                    =  .30000000000000000E 01 + ( .40000000000000000E 01) I
CONJ(A)              =  .10000000000000000E 01 + (-.20000000000000000E 01) I
RE(A)                =  .10000000000000000E 01
IM(A)                =  .20000000000000000E 01
A * B                = -.50000000000000000E 01 + ( .10000000000000000E 02) I
1/A                  =  .20000000000000000E 00 + (-.40000000000000000E 00) I
A/B                  =  .44000000000000000E 00 + ( .80000000000000000E-01) I

If you would like your eyes burned further, you can access the full program on github here. It takes almost 200 lines of code to do almost nothing.