FractionField Member List

This is the complete list of members for FractionField, including all inherited members.

_isfield	Ring	protected
_non_unit	Ring	protected
add(const ring_elem f, const ring_elem g) const	FractionField	virtual
add_to(ring_elem &f, const ring_elem &g) const	Ring
add_vec(vec v, vec w) const	Ring
add_vec_to(vec &v, vec &w) const	Ring
antipode(ring_elem f) const	Ring	inlinevirtual
AR	Ring	protected
cast_to_CCC()	Ring	inlinevirtual
cast_to_CCC() const	Ring	inlinevirtual
cast_to_FractionField()	FractionField	inlinevirtual
cast_to_FractionField() const	FractionField	inlinevirtual
cast_to_GF() const	Ring	inlinevirtual
cast_to_GF()	Ring	inlinevirtual
cast_to_LocalRing() const	Ring	inlinevirtual
cast_to_LocalRing()	Ring	inlinevirtual
cast_to_M2FreeAlgebra() const	Ring	inlinevirtual
cast_to_M2FreeAlgebra()	Ring	inlinevirtual
cast_to_M2FreeAlgebraOrQuotient() const	Ring	inlinevirtual
cast_to_M2FreeAlgebraOrQuotient()	Ring	inlinevirtual
cast_to_M2FreeAlgebraQuotient() const	Ring	inlinevirtual
cast_to_M2FreeAlgebraQuotient()	Ring	inlinevirtual
cast_to_PolynomialRing() const	Ring	inlinevirtual
cast_to_PolynomialRing()	Ring	inlinevirtual
cast_to_PolyQQ() const	Ring	inlinevirtual
cast_to_PolyQQ()	Ring	inlinevirtual
cast_to_PolyRing() const	Ring	inlinevirtual
cast_to_PolyRing()	Ring	inlinevirtual
cast_to_PolyRingFlat() const	Ring	inlinevirtual
cast_to_PolyRingFlat()	Ring	inlinevirtual
cast_to_RingZZ() const	Ring	inlinevirtual
cast_to_RingZZ()	Ring	inlinevirtual
cast_to_RRi()	Ring	inlinevirtual
cast_to_RRi() const	Ring	inlinevirtual
cast_to_RRR()	Ring	inlinevirtual
cast_to_RRR() const	Ring	inlinevirtual
cast_to_SchurRing() const	Ring	inlinevirtual
cast_to_SchurRing()	Ring	inlinevirtual
cast_to_SchurRing2() const	Ring	inlinevirtual
cast_to_SchurRing2()	Ring	inlinevirtual
cast_to_SchurSnRing() const	Ring	inlinevirtual
cast_to_SchurSnRing()	Ring	inlinevirtual
cast_to_SkewPolynomialRing() const	Ring	inlinevirtual
cast_to_SkewPolynomialRing()	Ring	inlinevirtual
cast_to_SolvableAlgebra() const	Ring	inlinevirtual
cast_to_SolvableAlgebra()	Ring	inlinevirtual
cast_to_Tower() const	Ring	inlinevirtual
cast_to_Tower()	Ring	inlinevirtual
cast_to_WeylAlgebra() const	Ring	inlinevirtual
cast_to_Z_mod() const	Ring	inlinevirtual
cast_to_Z_mod()	Ring	inlinevirtual
characteristic() const	Ring	inline
COEFF_BASIC enum value	Ring
COEFF_QQ enum value	Ring
COEFF_ZZ enum value	Ring
coefficient_type() const	FractionField	virtual
CoefficientType enum name	Ring
coerceToLongInteger(ring_elem a) const	Ring	virtual
compare_elems(const ring_elem f, const ring_elem g) const	FractionField	virtual
compare_vecs(vec v, vec w) const	Ring
component_shift(int n, vec v) const	Ring
computeHashValue(const ring_elem a) const	FractionField	virtual
content(ring_elem f) const	Ring	virtual
content(ring_elem f, ring_elem g) const	Ring	virtual
copy(const ring_elem f) const	FractionField	virtual
copy_vec(const vecterm *v) const	Ring
cR	Ring	mutableprotected
create(const PolyRingFlat *R)	FractionField	static
declare_field()	Ring
degree(const ring_elem f) const	Ring	inline
degree_monoid() const	Ring
degree_of_var(int n, const ring_elem a, int &lo, int &hi) const	Ring	virtual
degree_ring	Ring	protected
degree_weights(const ring_elem f, const std::vector< int > &wts, int &lo, int &hi) const	FractionField	virtual
denominator(ring_elem f) const	FractionField
diff(ring_elem a, ring_elem b, int use_coeff) const	Ring	virtual
discreteLog(const ring_elem &a) const	Ring	inlinevirtual
divide(const ring_elem f, const ring_elem g) const	FractionField	virtual
divide_by_content(ring_elem f) const	Ring
divide_by_expvector(const_exponents exp, const ring_elem a) const	Ring	virtual
divide_by_given_content(ring_elem f, ring_elem c) const	Ring	virtual
divide_by_var(int n, int d, const ring_elem a) const	Ring	virtual
divide_row(vec &v, int r, const ring_elem a) const	Ring
divide_vec_to(vec &v, const ring_elem a) const	Ring
dot_product(const vecterm *v, const vecterm *w) const	Ring
e_sub_i(int r) const	Ring
elem_text_out(buffer &o, const ring_elem f, bool p_one=true, bool p_plus=false, bool p_parens=false) const	FractionField	virtual
eval(const RingMap *map, const ring_elem f, int first_var) const	FractionField	virtual
fraction(const ring_elem top, const ring_elem bottom) const	FractionField
FractionField()	FractionField	inlineprotected
from_BigComplex(gmp_CC z, ring_elem &result) const	Ring	virtual
from_BigReal(gmp_RR a, ring_elem &result) const	Ring	virtual
from_complex_double(double re, double im, ring_elem &result) const	Ring	virtual
from_ComplexInterval(gmp_CCi z, ring_elem &result) const	Ring	virtual
from_double(double a, ring_elem &result) const	Ring	virtual
from_int(mpz_srcptr n) const	FractionField	virtual
from_Interval(gmp_RRi a, ring_elem &result) const	Ring	virtual
from_long(long n) const	FractionField	virtual
from_rational(mpq_srcptr n, ring_elem &result) const	FractionField	virtual
get_coeff(const ring_elem f, const_monomial m) const	FractionField	virtual
get_degree_ring() const	Ring	inline
get_entry(const vecterm *v, int r, ring_elem &result) const	Ring
get_entry(vec v, int r) const	Ring
get_heft_vector() const	Ring	inline
get_non_unit() const	Ring
get_precision() const	FractionField	inlinevirtual
get_ring() const	FractionField	inline
get_terms(int nvars0, const ring_elem f, int lo, int hi) const	FractionField	virtual
getARing() const	Ring	inlineprotected
getCoefficientRingR() const	Ring
getGenerator() const	Ring	inlinevirtual
getMinimalPolynomial() const	Ring	inlinevirtual
getRepresentation(const ring_elem &a) const	Ring	inlinevirtual
has_associate_divisors() const	Ring	inlinevirtual
hash() const	MutableEngineObject	inline
homogenize(const ring_elem f, int v, int deg, const std::vector< int > &wts) const	FractionField	virtual
homogenize(const ring_elem f, int v, const std::vector< int > &wts) const	FractionField	virtual
in_subring(int nslots, const ring_elem a) const	Ring	virtual
increase_maxnorm(gmp_RRmutable norm, const ring_elem f) const	Ring	virtual
index_of_var(const ring_elem a) const	FractionField	virtual
initialize_frac(const PolyRingFlat *R)	FractionField	protected
initialize_ring(long charac, const PolynomialRing *DR=nullptr, const std::vector< int > &heft_vec={})	Ring	protected
internal_add_to(ring_elem &f, ring_elem &g) const	FractionField
internal_negate_to(ring_elem &f) const	FractionField
internal_subtract_to(ring_elem &f, ring_elem &g) const	FractionField
invert(const ring_elem f) const	FractionField	virtual
is_basic_ring() const	Ring	inlinevirtual
is_CCC() const	Ring	inlinevirtual
is_commutative_ring() const	Ring	inlinevirtual
is_equal(const ring_elem f, const ring_elem g) const	FractionField	virtual
Ring::is_equal(const vecterm *a, const vecterm *b) const	Ring
is_field() const	Ring
is_fraction_field() const	FractionField	inlinevirtual
is_fraction_poly_ring() const	Ring	inlinevirtual
is_graded() const	FractionField	inlinevirtual
is_homogeneous(const ring_elem f) const	FractionField	virtual
is_poly_ring() const	Ring	inlinevirtual
is_QQ() const	Ring	inlinevirtual
is_quotient_ring() const	Ring	inlinevirtual
is_RRi() const	Ring	inlinevirtual
is_RRR() const	Ring	inlinevirtual
is_skew_commutative_ring() const	Ring	inlinevirtual
is_solvable_algebra() const	Ring	inlinevirtual
is_unit(const ring_elem f) const	FractionField	virtual
is_weyl_algebra() const	Ring	inlinevirtual
is_zero(const ring_elem f) const	FractionField	virtual
is_ZZ() const	Ring	inlinevirtual
isFinitePrimeField() const	Ring	inlinevirtual
isGaloisField() const	Ring	inlinevirtual
lead_coeff(const ring_elem f) const	FractionField	virtual
lift(const Ring *R, const ring_elem f, ring_elem &result) const	FractionField	virtual
lower_associate_divisor(ring_elem &f, ring_elem g) const	Ring	virtual
lower_content(ring_elem &c, const ring_elem g) const	FractionField	virtual
make_elem(ring_elem a, ring_elem b) const	FractionField	private
make_FreeModule() const	Ring	virtual
make_FreeModule(int n) const	Ring	virtual
make_Schreyer_FreeModule() const	Ring	virtual
make_SumCollector() const	Ring	virtual
make_vec(int r, ring_elem a) const	Ring
make_vec_from_array(int len, Nterm **array) const	Ring
makeMutableMatrix(size_t nrows, size_t ncols, bool dense) const	Ring	inlinevirtual
mCharacteristic	Ring	protected
mHashValue	MutableEngineObject	private
mHeftVector	Ring	protected
minus_one() const	Ring	inline
minus_oneV	Ring	protected
mNextMutableHashValue	MutableEngineObject	privatestatic
monomial_divisor(const ring_elem a, exponents_t exp) const	Ring	virtual
mult(const ring_elem f, const ring_elem g) const	FractionField	virtual
mult_row(vec &v, const ring_elem r, int i, bool opposite_mult) const	Ring
mult_to(ring_elem &f, const ring_elem g) const	Ring
mult_vec(int n, vec v) const	Ring
mult_vec(const ring_elem f, const vec w) const	Ring
mult_vec_matrix(const Matrix *m, vec v, bool opposite_mult) const	Ring
mult_vec_to(vec &v, const ring_elem r, bool opposite_mult) const	Ring
multi_degree(const ring_elem f, monomial d) const	FractionField	virtual
MutableEngineObject()	MutableEngineObject	inline
n_fraction_vars() const	FractionField	virtual
n_nonzero_terms(const vecterm *v) const	Ring
n_terms(const ring_elem f) const	FractionField	virtual
negate(const ring_elem f) const	FractionField	virtual
negate_to(ring_elem &f) const	Ring
negate_vec(vec v) const	Ring
negate_vec_to(vec &v) const	Ring
new_frac_elem() const	FractionField	private
new_vec() const	Ring	protected
numerator(ring_elem f) const	FractionField
one() const	Ring	inline
oneV	Ring	protected
operator delete(void *obj)	our_new_delete	inlinestatic
operator delete(void *obj, void *existing_memory)	our_new_delete	inlinestatic
operator delete[](void *obj)	our_new_delete	inlinestatic
operator delete[](void *obj, void *existing_memory)	our_new_delete	inlinestatic
operator new(size_t size)	our_new_delete	inlinestatic
operator new(size_t size, void *existing_memory)	our_new_delete	inlinestatic
operator new[](size_t size)	our_new_delete	inlinestatic
operator new[](size_t size, void *existing_memory)	our_new_delete	inlinestatic
our_gc_cleanup()	our_gc_cleanup	inline
power(const ring_elem f, mpz_srcptr n) const	FractionField	virtual
power(const ring_elem f, int n) const	FractionField	virtual
preferred_associate(ring_elem f) const	Ring	virtual
promote(const Ring *R, const ring_elem f, ring_elem &result) const	FractionField	virtual
quotient(const ring_elem f, const ring_elem g) const	Ring	virtual
R_	FractionField	private
random() const	FractionField	virtual
remainder(const ring_elem f, const ring_elem g) const	Ring	virtual
remainderAndQuotient(const ring_elem f, const ring_elem g, ring_elem &quot) const	Ring	virtual
remove(ring_elem &f) const	FractionField	virtual
remove_vec(vec v) const	Ring
remove_vec_node(vec n) const	Ring	protected
rightmult_vec(const vec w, const ring_elem f) const	Ring
Ring()	Ring	inlineprotected
ringID() const	Ring	inlinevirtual
set_entry(vec &v, int i, ring_elem r) const	Ring
set_non_unit(ring_elem zero_div) const	Ring
set_non_unit_frac(ring_elem top) const	FractionField	private
simplify(frac_elem *f) const	FractionField	private
split_off_content(ring_elem f, ring_elem &result) const	Ring
sub_vector(const vecterm *v, M2_arrayint r) const	Ring
subtract(const ring_elem f, const ring_elem g) const	FractionField	virtual
subtract_to(ring_elem &f, const ring_elem &g) const	Ring
subtract_vec(vec v, vec w) const	Ring
subtract_vec_to(vec &v, vec &w) const	Ring
support(const ring_elem a) const	FractionField	virtual
syzygy(const ring_elem a, const ring_elem b, ring_elem &x, ring_elem &y) const	FractionField	virtual
tensor(const FreeModule *F, vec v, const FreeModule *G, vec w) const	Ring
tensor_shift(int n, int m, vec v) const	Ring
term(const ring_elem a, const_monomial m) const	FractionField	virtual
text_out(buffer &o) const	FractionField	virtual
use_gcd_simplify	FractionField	private
var(int v) const	FractionField	virtual
vec_content(vec f) const	Ring
vec_degree_of_var(int n, const vec v, int &lo, int &hi) const	Ring
vec_degree_weights(const FreeModule *F, const vec f, const std::vector< int > &wts, int &lo, int &hi) const	Ring
vec_diff(vec v, int rankFw, vec w, int use_coeff) const	Ring
vec_divide_by_content(vec f) const	Ring
vec_divide_by_expvector(const_exponents exp, const vec v) const	Ring
vec_divide_by_given_content(vec f, ring_elem c) const	Ring
vec_divide_by_var(int n, int d, const vec v) const	Ring
vec_eval(const RingMap *map, const FreeModule *F, const vec v) const	Ring
vec_homogenize(const FreeModule *F, const vec f, int v, int deg, const std::vector< int > &wts) const	Ring
vec_homogenize(const FreeModule *F, const vec f, int v, const std::vector< int > &wts) const	Ring
vec_in_subring(int n, const vec v) const	Ring
vec_increase_maxnorm(gmp_RRmutable norm, const vec f) const	Ring
vec_is_homogeneous(const FreeModule *F, const vec f) const	Ring
vec_is_scalar_multiple(vec f, vec g) const	Ring
vec_lead_term(int nparts, const FreeModule *F, vec v) const	Ring	virtual
vec_multi_degree(const FreeModule *F, const vec f, monomial degf) const	Ring
vec_remove_monomial_factors(vec f, bool make_squarefree_only) const	Ring
vec_sort(vecterm *&f) const	Ring
vec_split_off_content(vec f, vec &result) const	Ring
vec_text_out(buffer &o, const vecterm *v, bool p_one=true, bool p_plus=false, bool p_parens=false) const	Ring
vec_zeroize_tiny(gmp_RR epsilon, const vec f) const	Ring
zero() const	Ring	inline
zeroize_tiny(gmp_RR epsilon, const ring_elem f) const	Ring	virtual
zeroV	Ring	protected
~FractionField()	FractionField	inlineprotectedvirtual
~MutableEngineObject()	MutableEngineObject	inlinevirtual
~our_gc_cleanup()	our_gc_cleanup	inlinevirtual
~Ring()	Ring	virtual