Re: 100 Random Single Variable Linear Equations

Hi Mike,

is my guess correct that you want to create linear equation samples
to be printed (on paper) and solved? Or is it meant as a programming
course sample? - My suggestions depend on being one or the other...

I've learned linear equations to contain an additive term, as in
  a x + b = c    (i.e.  a*x + b == c  written as Awk expression),
so I'd have expected the operator to be '+' or '-' (not '*' or '/').
(Otherwise, with  a*x * b , you could just calculate a*b first and
a/b respectively, in case of a division a*x / b, before then doing
the single final lhs/rhs operation. The "both sides" procedures
you describe in your introductory comment would be unnecessarily
complicate if you really meant * and / .)

I wonder about the many temporary variables and technical comments;
most don't contribute to legibility or clearness and are unnecessary.
There could be used better naming for the remaining fewer variables.
It could gain from more structuring, like using a 'random' function
for integers to make the random expressions simpler.
Control structure could be simplified, made clearer; do { } while .
Re-iterating over the stored equations is unnecessary, you can just
print them.

(I've added code reflecting these suggestions at the end of my post
in case you'd like to pick an idea or two. I've also changed a few
more details, just in case you wonder about any differences to the
original code.)

Janis


On 06.12.2024 05:51, Mike Sanders wrote:

Mike Sanders <porkchop@invalid.foo> wrote:
 

# algebra.awk: 2024 - Michael Sanders
#
# usage: awk -f algebra.awk > solve.txt
>
[...]

 
# subtle tweak: every equation unique (no duplicates)...
 
BEGIN {
    srand() # seed the random number generator
 
    # keep generating until we have exactly 100 unique equations
    while (u < 100) {
        a = int(rand() * 20) + 1 # random value for 'a' (1 to 20)
        b = int(rand() * 20) + 1 # random value for 'b' (1 to 20)
        c = int(rand() * 50) + 1 # random value for 'c' (1 to 50)
 
        opc = (rand() < 0.5 ? "*" : "/")      # random operator
        lhs = sprintf("%dx %s %d", a, opc, b) # left-hand side
        rhs = c                               # right-hand side
        equ = lhs " = " rhs                   # full equation
 
        # store equation in array if it doesn't already exist
        if (!(equ in equations)) {
            equations[equ] = 1 # mark element as 'reserved'...
            u++                # increment u for each unique equation
        }
    }
 
    # print equations
    for (e in equations) printf("%03d. %s\n\n\n\n\n\n\n\n\n", ++q, e)
}
 
# eof
 

    function rnd (n)  # n -> 1..n
    {
        return  int(rand() * n) + 1
    }

    BEGIN {
        srand()

        while (++serial_number <= 100) {
            do {
                opc = rand() < 0.5 ? "+" : "-"  # choose random operator
                equ = sprintf("%d x %c %d = %d", rnd(20), opc, rnd(20),
rnd(50))
            } while (equ in equations_store)    # avoid duplicates

            equations_store [equ]  # memorize generated equation

            printf("%3d.\t%s\n", serial_number, equ)
        }
    }