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NZMATH
1.2.0
About: NZMATH is a Python based number theory oriented calculation system.
 Fossies Dox: NZMATH-1.2.0.tar.gz ("inofficial" and yet experimental doxygen-generated source code documentation)  |
|
NZMATH
1.2.0
About: NZMATH is a Python based number theory oriented calculation system.
Fossies Dox: NZMATH-1.2.0.tar.gz ("inofficial" and yet experimental doxygen-generated source code documentation) |
Public Member Functions | |
| def | __init__ (self, coefficients, coeffring=None, _sorted=False, **kwds) |
| def | ring_mul (self, other) |
| def | square (self) |
 Public Member Functions inherited from nzmath.poly.uniutil.PrimeCharacteristicFunctionsProvider | |
| def | __init__ (self, ch) |
| def | __pow__ (self, index, mod=None) |
| def | mod_pow (self, polynom, index) |
| def | squarefree_decomposition (self) |
| def | pthroot (self) |
| def | distinct_degree_factorization (self) |
| def | split_same_degrees (self, degree) |
| def | factor (self) |
| def | isirreducible (self) |
| Public Member Functions inherited from nzmath.poly.uniutil.FieldPolynomial | |
| def | __pow__ (self, index, mod=None) |
| def | resultant (self, other) |
| def | discriminant (self) |
| Public Member Functions inherited from nzmath.poly.uniutil.DivisionProvider | |
| def | __init__ (self) |
| def | __divmod__ (self, other) |
| def | __floordiv__ (self, other) |
| def | __mod__ (self, other) |
| def | mod (self, dividend) |
| def | mod_pow (self, polynom, index) |
| def | __truediv__ (self, other) |
| def | scalar_exact_division (self, scale) |
| def | gcd (self, other) |
| def | extgcd (self, other) |
| Public Member Functions inherited from nzmath.poly.uniutil.ContentProvider | |
| def | content (self) |
| def | primitive_part (self) |
| Public Member Functions inherited from nzmath.poly.uniutil.RingPolynomial | |
| def | getRing (self) |
| def | getCoefficientRing (self) |
| def | __repr__ (self) |
| def | __add__ (self, other) |
| def | __radd__ (self, other) |
| def | __sub__ (self, other) |
| def | __rsub__ (self, other) |
| def | ismonic (self) |
| def | __getitem__ (self, degree) |
| Public Member Functions inherited from nzmath.poly.uniutil.OrderProvider | |
| def | __init__ (self, order=termorder.ascending_order) |
| def | shift_degree_to (self, degree) |
| def | split_at (self, degree) |
| Public Member Functions inherited from nzmath.poly.univar.SortedPolynomial | |
| def | __init__ (self, coefficients, _sorted=False, **kwds) |
| def | __pos__ (self) |
| def | __neg__ (self) |
| def | __mul__ (self, other) |
| def | __rmul__ (self, other) |
| def | ring_mul_karatsuba (self, other) |
| def | scalar_mul (self, scale) |
| def | __pow__ (self, index) |
| def | degree (self) |
| def | leading_coefficient (self) |
| def | leading_term (self) |
| def | iterterms (self) |
| def | iterbases (self) |
| def | itercoefficients (self) |
| def | __contains__ (self, degree) |
| def | __len__ (self) |
| def | __eq__ (self, other) |
| def | __hash__ (self) |
| def | __call__ (self, val) |
| Public Member Functions inherited from nzmath.poly.univar.PolynomialInterface | |
| def | __init__ (self, coefficients, **kwds) |
| def | term_mul (self, term) |
| def | differentiate (self) |
| def | upshift_degree (self, slide) |
| def | downshift_degree (self, slide) |
| def | terms_map (self, func) |
| def | construct_with_default (self, terms) |
| Public Member Functions inherited from nzmath.poly.formalsum.FormalSumContainerInterface | |
| def | __iter__ (self) |
| def | __ne__ (self, other) |
| def | __nonzero__ (self) |
| def | terms (self) |
| def | coefficients (self) |
| def | bases (self) |
| def | coefficients_map (self, func) |
| def | bases_map (self, func) |
| Public Member Functions inherited from nzmath.poly.uniutil.RingElementProvider | |
| def | __init__ (self) |
| def | set_coefficient_ring (self, coeffring) |
| Public Member Functions inherited from nzmath.ring.CommutativeRingElement | |
| def | mul_module_action (self, other) |
| def | exact_division (self, other) |
| Public Member Functions inherited from nzmath.ring.RingElement | |
| def | __init__ (self, *args, **kwd) |
| def | __eq__ (self, other) |
| def | __hash__ (self) |
| def | __ne__ (self, other) |
Additional Inherited Members | |
| Public Attributes inherited from nzmath.poly.uniutil.PrimeCharacteristicFunctionsProvider | |
| ch | |
| Public Attributes inherited from nzmath.poly.uniutil.OrderProvider | |
| order | |
| Public Attributes inherited from nzmath.poly.univar.SortedPolynomial | |
| sorted | |
| Public Attributes inherited from nzmath.poly.univar.PolynomialInterface | |
| number_of_variables | |
Fp polynomial
Definition at line 1500 of file uniutil.py.
| def nzmath.poly.uniutil.FinitePrimeFieldPolynomial.__init__ | ( | self, | |
| coefficients, | |||
coeffring = None, |
|||
_sorted = False, |
|||
| ** | kwds | ||
| ) |
Initialize the polynomial. - coefficients: initializer for polynomial coefficients - coeffring: finite prime field
Reimplemented from nzmath.poly.uniutil.FiniteFieldPolynomial.
Definition at line 1504 of file uniutil.py.
| def nzmath.poly.uniutil.FinitePrimeFieldPolynomial.ring_mul | ( | self, | |
| other | |||
| ) |
Multiplication of two polynomials in the same ring.
Reimplemented from nzmath.poly.univar.PolynomialInterface.
Definition at line 1519 of file uniutil.py.
References nzmath.elliptic.ECGeneric.ch, nzmath.elliptic.ECoverGF.ch, nzmath.poly.uniutil.PrimeCharacteristicFunctionsProvider.ch, and nzmath.poly.formalsum.FormalSumContainerInterface.construct_with_default().
Referenced by nzmath.poly.univar.BasicPolynomial.__mul__(), and nzmath.poly.univar.SortedPolynomial.__mul__().
| def nzmath.poly.uniutil.FinitePrimeFieldPolynomial.square | ( | self | ) |
Return the square of self.
Reimplemented from nzmath.poly.univar.SortedPolynomial.
Definition at line 1542 of file uniutil.py.
References nzmath.elliptic.ECGeneric.ch, nzmath.elliptic.ECoverGF.ch, nzmath.poly.uniutil.PrimeCharacteristicFunctionsProvider.ch, nzmath.poly.formalsum.FormalSumContainerInterface.construct_with_default(), nzmath.bigrange.range(), and nzmath.poly.univar.SortedPolynomial.sorted.
Referenced by nzmath.poly.univar.BasicPolynomial.__pow__(), nzmath.poly.univar.SortedPolynomial.__pow__(), nzmath.poly.uniutil.FieldPolynomial.__pow__(), and nzmath.poly.uniutil.PseudoDivisionProvider.monic_pow().
1.8.16