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Hi, I'm new here and need some help on beginning my program. I've read the thread on homework help and am not here asking for someone to do my program.

I have an assignment which I basically have to take in polynomials from the user and add/multiply them. I decided to use a linked list with this type declaration:

struct ATerm
{
    int Coefficient;
    int Exponent;
    ATerm *Next;
}
typedef ATerm *Polynomial

my question is how to store each polynomial the user input's. I'm not allowed to use the string functions which would make this problem trivial. Any ideas?

Edited by Reverend Jim: Fixed formatting

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Last Post by monkey_king
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I've read the thread on homework help and am not here asking for someone to do my program.
I guess you didn't read about posting your code in the code tags:http://www.daniweb.com/forums/misc-explaincode.html

I decided to use a linked list with this type declaration
This is a Node of the linked list, not the linked list itself.
(I dont recomend the typedef you chose. monomial would have been a better option)
So you have a made a monomial Node. Good.
Now start by designing a Class which would actually make all those things to work.
Since it is a linked list, it wouldnt be as easy.
So, start writing the Class, write ways to input and output a polynomial etc.

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I wouldnt bother with the exponent.
I would only use the coefficient and let the position in an "Array" be the exponent.

Exponents are by definition integers >0 ,
so it should be ideally suited for a simple array.

the polynomial
[TEX]a Z^4 -b Z^3+cZ+7[/TEX]
the last term has an invisble z^0
so it should be represented by

{7,c,0,-b,a}

sum would just be the placewise addition,
prod is somewhat more involved, but you should go backward in one of you list while multipling coefs.
It's a kind of convolution

good luck

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Nice class,
I like you added a diff and eval function.

Maybe you should update it,
with inline operators +-*<<

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Thanks for the input everyone!!!!
I'm getting started tonight!!

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First off: The polynominal class, it is a start but you have a number of things to adjust.

First off polynominals have three common types of coefficient: complex , floating point (double etc) or polynomial. Note the last one: if you want to express [TEX]3y^2+xy+x^2+1 =0[/TEX] then you will want that type.

Then how you design your class is dependent on what you want it to do. The important things are: do you want to find roots.? Second do you need to solve simultanious equations (multi-variable). What sort of integrals do you want?

Second consider this polynomial equation:
[tex]3x^{-1}+5x^{-2}=0[/tex]
Perfectly valid equation, easy to integrate in the complex plane, easy to find roots.

Now that suggests a number of fundermental changes to the polynominal class.

(a) First use either a low/high exponent values or use the original exponent form. [e.g. equation above is -2,0]
(b) Use a vector or variable length polynomial power system.
(c) Implement multiplication first, it exposes most of the short-coming of the other designs, without being too difficult.
(d) Then do division.

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Actually in a general context the coefficents can be whatever you want them to be.
Not necessary a field, but most likely a ring.

So it should actually be templated.

But I doubt that the original poster is looking at this level of sophistication.

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