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A class for representing univariate polynomials of the form cdxd + cd-1xd-1 + ... + c1x + c0.
Representation:
| Polynomial ()
| Polynomial |
no-agrument constructor
Post: c = _
| Polynomial (int d = 0, double *coefs = NULL)
| Polynomial |
Constructor.
Pre: d >= 0
Post: d = 0 -> c = _ /\
d != 0 -> c = coefficients from coefs
Parameters:
| d | the degree of the polynomial |
| coefs | pointer to an array containing the
coefficients in ascending order
(i.e., coefs[0] is c_0). Note
that the number of coefficients should be
one more than the degree.
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| double operator() (double x)
| operator() |
[const]
evaluate the polynomial at x
Pre: this.degree() >= 0 (i.e., the polynomial is defined)
Parameters:
| x | value to evalute the polynomial at |
Returns: the value of this polynomial evaluated at x
| int degree ()
| degree |
[const]
degree of the polynomial
Returns: the degree (i.e., exponent of highest order coefficient) of this polynomial or -1 if the polynomial is undefined
| Polynomial& operator += (const Polynomial& r)
| operator += |
add a polynomial to this
Post: c' = [c0 + r0, c1 + r1 ... ] /\ Result = *this
Returns: this + r
| Polynomial& operator *= (const Polynomial& r)
| operator *= |
multiply a polynomial by this
Post: c' = coefficients for product (this * r) /\ Result = *this
Returns: this * r