Rings

Topics
	Ring Info
	Coefficient Rings
	Polynomial Rings

Classes
class	M2::ARingCC
	aring-style adapter for double-precision complex numbers, stored as (double, double) pairs. More...
class	M2::ARingCCC
	aring-style adapter for arbitrary-precision complex numbers, stored as (MPFR, MPFR) pairs. More...
class	M2::ARingCCi
	aring-style adapter for arbitrary-precision complex intervals, stored as (MPFI, MPFI) pairs. More...
class	M2::ARingGFFlintBig
	aring-style adapter for FLINT's polynomial-quotient representation of finite fields GF(p^n) that are too large for Zech tables. More...
class	M2::ARingGFFlint
	aring-style adapter for FLINT's Zech-logarithm representation of small finite fields GF(p^n). More...
class	M2::ConcreteRing< RingType >
class	M2::ARingGFM2
	Pure-M2 (no-FLINT) aring-style adapter for GF(p^n), using a discrete-log encoding plus an M2-side primitive table. More...
class	M2::ARingQQFlint
	wrapper for the flint fmpq_t integer representation More...
class	M2::ARingQQGMP
	wrapper for the gmp mpq_t integer representation More...
class	M2::ARingRR
	aring-style adapter for double-precision real numbers. More...
class	M2::ARingRRi
	aring-style adapter for arbitrary-precision real intervals, backed by MPFI. More...
class	M2::ARingRRR
	aring-style adapter for arbitrary-precision real numbers, backed by MPFR. More...
class	M2::ARingTower
	aring-style coefficient ring for tower polynomial rings (Z/p)[x_0][x_1]...[x_{n-1}] modulo a chain of extensions. More...
class	M2::RElementWrap< RingType >
class	M2::AConcreteRing< RingType >
class	M2::ARingZZ
	wrapper for the flint fmpz_t integer representation More...
class	M2::ARingZZGMP
	wrapper for the mpz_struct integer representation More...
class	M2::ARingZZpFFPACK
	wrapper for the FFPACK::ModularBalanced<double> field implementation More...
class	M2::ARingZZpFlint
	aring-style adapter for Z/p with p a word-size prime, backed by FLINT's nmod_* routines. More...
class	M2::ARingZZp
	aring-style adapter for Z/p using a discrete-log (Zech) representation: every non-zero residue is its index relative to a primitive generator a. More...
class	M2::RingInterface
class	M2::SimpleARing< ARing >
	A base class for simple ARings. More...
class	GF
	Engine-side finite field GF(p^n) built on top of (Z/p)[t] / f(t) for a primitive element of the resulting field. More...
class	Ring
	xxx xxx xxx More...
class	RingZZ
	Engine-side ring of integers, backed by GMP mpz_ptr elements. More...
class	Z_mod
	Engine-side Z/p ring for small primes (p < 32767), using a discrete-log (Zech) representation. More...

Enumerations
enum	M2::RingID {   M2::ring_example = 0 , M2::ring_ZZ , M2::ring_ZZFlint , M2::ring_QQ ,   M2::ring_QQFlint , M2::ring_ZZp , M2::ring_ZZpFfpack , M2::ring_ZZpFlint ,   M2::ring_GFM2 , M2::ring_GFFlintBig , M2::ring_GFFlintZech , M2::ring_RR ,   M2::ring_CC , M2::ring_RRR , M2::ring_CCC , M2::ring_RRi ,   M2::ring_CCi , M2::ring_tower_ZZp , M2::ring_old }

Detailed Description