Module poly :: Class Polynomial

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Class Polynomial

Represent polynomials, and supports addition, subtraction, and root finding.

Instance Methods

__init__(self, coeffs)

coeff(self, i)

add(p1, p2)
Returns: a new polynomial, which is their sum.

__add__(p1, p2)

__sub__(p1, p2)

scalarMult(self, s)
Returns: a new polynomial with all coefficients of self, multiplied by s

mul(p1, p2)
Returns: a new polynomial, which is their product.

shift(p, a)
Returns: a new polynomial, multiplied by x**a.

__mul__(p1, p2)

__str__(self, var='z')

__repr__(self, var='z')

val(self, x)
Returns: the value of the polynomial with the variable assigned to x.

__call__(self, x)

roots(self)
Returns: list of the roots, found by numpy

Instance Variables
	coeffs List of coefficients of the polynomial, highest order first
	order Order of the polynomial; one less than the number of coeffs

Method Details

init(self, coeffs)
(Constructor)

Parameters:

coeffs - a list of numbers, starting with highest order coefficient.

add(p1, p2)

Parameters:

p1, p2 - polynomials

Returns:

a new polynomial, which is their sum. Does not affect either input.

scalarMult(self, s)

Parameters:

s - a scalar

Returns:

a new polynomial with all coefficients of self, multiplied by s

mul(p1, p2)

Parameters:

p1, p2 - polynomials

Returns:

a new polynomial, which is their product.

Does not affect either input.

shift(p, a)

Parameters:

a - integer

Returns:

a new polynomial, multiplied by x**a.

Just adds zeros for new low-order coefficients.

val(self, x)

Parameters:

x - number

Returns:

the value of the polynomial with the variable assigned to x.

roots(self)

Returns:: list of the roots, found by numpy

Class Polynomial

__init__(self, coeffs) (Constructor)

add(p1, p2)

scalarMult(self, s)

mul(p1, p2)

shift(p, a)

val(self, x)

roots(self)

init(self, coeffs)
(Constructor)