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- polynomial_base.Polynomial(builtins.object)
-
- CircuitPolynomial
class CircuitPolynomial(polynomial_base.Polynomial) |
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Class for circuit polynomials.
Circuit polynomials in n variables are polynomials such that the Newton
polytope is a simplex, formed by monomial squares, and one exponent is a
non-square and lies in the relative interior.
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- Method resolution order:
- CircuitPolynomial
- polynomial_base.Polynomial
- builtins.object
Methods defined here:
- __init__(self, *args, **kwargs)
- Docstring imported from polynomial.
- circuit_number(self)
- Compute the circuit number, stored in self.theta.
- minimiser(self)
- Computer the minimiser of the polynomial.
- non_negative(self)
- Check, whether polynomial is non-negative.
Methods inherited from polynomial_base.Polynomial:
- __add__(self, other)
- Return the sum of this polynomial with another one.
- __call__(self, x, dtype='float')
- Evaluate the polynomial at point x.
__dict__ = mappingproxy({'__module__': 'circuit_polynomial'...rcuitPolynomial.non_negative at 0x7fb16ecdab70>})
- __eq__(self, other)
- Check equality of polynomials.
- __neg__(self)
- Return the negation of this polynomial.
- __sizeof__(self)
- Return bit-size of the instance.
- __str__(self)
- Return the polynomial as string.
- __sub__(self, other)
- Return the difference between this polynomial and another one.
- clean(self)
- Bring polynomial into clean state.
- copy(self)
- Return a copy of itself.
- derive(self, index)
- Compute the derivative with respect to the given index.
Call:
res = p.derive(index)
Input:
index [integer] - index of variable, by which we derive p, starting with zero
Output:
res - Polynomial, derivative of p by x_index
- pip(self)
- Return the polynomial in PIP-format.
- prime(self, variables=None)
- Compute full derivative of the polynomial.
Call:
pprime = p.prime([variables])
Input:
variables [optional, default: all occurring] - number of variables, by which we derive
Output:
pprime - Polynomial, derivative of p
- scaleround(self, factor)
- Scale polynomial and round coefficients to integer.
Call:
p.scaleround(factor)
Input:
factor [number] - scale all coefficients by 'factor', then round to integer
Note: This function changes the coefficients in place and sets the 'dirty' flag to 'True'.
- tex(self)
- Return the polynomial as string for LaTeX.
- to_symbolic(self)
- Return the polynomial as symbolic expression in sympy.
Data descriptors inherited from polynomial_base.Polynomial:
- __weakref__
- list of weak references to the object (if defined)
Data and other attributes inherited from polynomial_base.Polynomial:
- __hash__ = None
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