About Formula Solver

 BBS: Inland Empire Archive
Date: 03-19-93 (21:58)             Number: 375
From: QUINN TYLER JACKSON          Refer#: NONE
  To: ALL                           Recvd: NO  
Subj: About Formula Solver           Conf: (2) Quik_Bas
The previous seven part post is the revised version of my formula
solver.  New to this version are definable functions and some bug fixes
to version 1.0.  I've numbered this 1.4 because there were 3
intermediate versions at my end before reaching this one.

This message is to serve as a brief tutorial on the syntax of the
FUNCTION funSolveEquation(InText$).

First of all, there are standard statements:


That's fairly simple.  Then, there are more advanced operators, such as
` and # and }.

-4` = 4  That is to say, ` returns the ABSOLUTE value of x.

4.5# = 4  That is to say, # returns the integer part of x.

2}4 means "the square root of 4"
3}8 means "the cube root of 4"

That is, n}x returns the nth root of x.

Then, there are exotic operators, such as !, which is the factorial
symbol, which means that 5! returns 5 factorial, or 1x2x3x4x5, or 120.
0! is 1 by definition.

There are other operators:

5%2 works as 5 MOD 2
5\2 does integer division
5~7 works as 5 XOR 7
5&7 works as 5 AND 7
5|7 works as 5 OR 7

Some logical operators:

1>2 returns 0, for false
1<>2 returns -1, for true
5==2 returns 0, for false
(1<3)|=(2==1) returns -1, for IMPLIED TRUTH

Parenthesis override standard BODMAS precedence.  Therefore:

5*(1+2) returns 15, rather than 7.


Variables are case insensitive, and can consist of:

        first character must be either @ or A-Z
        subsequent characters can be anything but spaces or
        operators (numbers or commas are legal, as are underscores, but
        A^TEST would be a to the power of test.

Variable assignment is achieved by the statment:


Therefore, one could do any of the following:

STATEMENT                          VALUE OF A
A:=10                                10
A:=10*2                              20
A:=square_root[9]                     3

Suppose A is equal to 10, the following would change its value to 20:



Functions are assigned in a similar fashion to variables.


Now, whenever a value for the x parameter is supplied, it is put into
the formula, and the function returns the result.  Variables in function
parameters are local to those functions and are dynamic.  That is to
say, if x is specified as being 100 somewhere else, that doesn't affect
the function.


square[10] would return 100.
square[n] would return 4 if n were equal to 2
square[1+5] would return 36 and
square[square[2]] would return 16, and is an example of the nesting that
is possible with functions.

In the definition of the function, one can assign parameter defaults.
That is, one can supply values for the parameters that are used as a
default value if that parameter is not supplied in the call.


As it stands, suppose someone were to then call the function like this:


This would return 31.429, using the default of 22/7 for pi, which is a
rough approximation.  However, if a stickler were to come along and
demand a more accurate value for pi, he could supply the missing


and the function would use this value for pi rather than the default.

Note that when the default parameter is at the END of the paremeter list
in the function definition, there is no need for a placeholder.  In
other locations, one is required:


Now, to call this using the default value for pi, one would have to do


The , serves as a place holder for the missing parameter, just as in the
BASIC statement:



Multiline statements are possible.  The result of the LAST calculation
in the list is what funSolveEquation returns.  Therefore, one could do

This would return the value 6.
Functions canNOT take advantage of this feature.

I leave you to figure out the rest....

 * OLX 2.1 TD * Programming is never saying you're finished....

--- Maximus/2 2.01wb
 * Origin: The Nibble's Roost, Richmond BC Canada 604-244-8009 (1:153/918)
Outer Court
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