CSC 241 Programming Assignment #5 Fall 2017
The Polynomial ADT
We can define an abstract data type for single-variable polynomials (with non-negative exponents) by using a list. Let . If most of the coefficients ai are nonzero we could use a simple array to store the coefficients and write routines to perform addition, subtraction, multiplication, differentiation, and other operations on these polynomials.
An array implementation would be adequate for dense polynomials, where most of the terms are present, but if and , then the running time is likely to be unacceptable. One cans see that if arrays were used, then most of the time is spend multiplying zeros and stepping through what amounts to nonexistent parts of the input polynomials. This is always undesirable.
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