"""
Rings
"""
# ****************************************************************************
#       Copyright (C) 2005 William Stein <wstein@gmail.com>
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 2 of the License, or
# (at your option) any later version.
#                  https://www.gnu.org/licenses/
# ****************************************************************************
from sage.misc.lazy_import import lazy_import

# Ring base classes
from .ring import (Ring, Field, CommutativeRing, IntegralDomain,
    DedekindDomain, PrincipalIdealDomain, EuclideanDomain)

# Ring element base classes
from sage.structure.element import (CommutativeAlgebraElement,
        RingElement, CommutativeRingElement, IntegralDomainElement,
        DedekindDomainElement, PrincipalIdealDomainElement,
        EuclideanDomainElement, FieldElement)

# Ideals
from .ideal import Ideal
ideal = Ideal

# Quotient
from .quotient_ring import QuotientRing

# Infinities
from .infinity import infinity, Infinity, InfinityRing, unsigned_infinity, UnsignedInfinityRing

# Rational integers.
from .integer_ring import IntegerRing, ZZ, crt_basis
from .integer import Integer

# Rational numbers
from .rational_field import RationalField, QQ
from .rational import Rational
Rationals = RationalField

# Integers modulo n.
from sage.rings.finite_rings.integer_mod_ring import IntegerModRing, Zmod
from sage.rings.finite_rings.integer_mod import IntegerMod, Mod, mod
Integers = IntegerModRing

# Finite fields
from .finite_rings.all import *

# Number field
from .number_field.all import *

# Function field
from .function_field.all import *

# Finite residue fields
from .finite_rings.residue_field import ResidueField

# p-adic field
from .padics.all import *
from .padics.padic_printing import _printer_defaults as padic_printing

# valuations
from .valuation.all import *

# Semirings
from .semirings.all import *

# Real numbers
from .real_mpfr import (RealField, RR,
                       create_RealNumber as RealNumber)   # this is used by the preparser to wrap real literals -- very important.
Reals = RealField

from .real_double import RealDoubleField, RDF, RealDoubleElement

from .real_lazy import RealLazyField, RLF, ComplexLazyField, CLF

from sage.rings.real_arb import RealBallField, RBF

# Polynomial Rings and Polynomial Quotient Rings
from .polynomial.all import *


# Algebraic numbers
from .qqbar import (AlgebraicRealField, AA,
                   AlgebraicReal,
                   AlgebraicField, QQbar,
                   AlgebraicNumber,
                   number_field_elements_from_algebraics)
from .universal_cyclotomic_field import UniversalCyclotomicField, E

# Intervals
from .real_mpfi import (RealIntervalField,
                       RIF,
                       RealInterval)

# Complex numbers
from .complex_mpfr import ComplexField
from .complex_mpfr import create_ComplexNumber as ComplexNumber
Complexes = ComplexField
from .complex_interval_field import ComplexIntervalField
from .complex_interval import (create_ComplexIntervalFieldElement as ComplexIntervalFieldElement)

from .complex_double import ComplexDoubleField, ComplexDoubleElement, CDF

from .complex_mpc import MPComplexField

from sage.rings.complex_arb import ComplexBallField, CBF

lazy_import("sage.rings.imaginary_unit", "I")

# Power series rings
from .power_series_ring import PowerSeriesRing
from .power_series_ring_element import PowerSeries

# Laurent series ring in one variable
from .laurent_series_ring import LaurentSeriesRing
from .laurent_series_ring_element import LaurentSeries

# Lazy Laurent series ring
lazy_import('sage.rings.lazy_laurent_series_ring', 'LazyLaurentSeriesRing')

# Tate algebras
from .tate_algebra import TateAlgebra

# Puiseux series ring
from .puiseux_series_ring import PuiseuxSeriesRing
from .puiseux_series_ring_element import PuiseuxSeries

# Pseudo-ring of PARI objects.
from .pari_ring import PariRing, Pari

# Big-oh notation
from .big_oh import O

# Fraction field
from .fraction_field import FractionField
Frac = FractionField

# Localization
from .localization import Localization

# c-finite sequences
from .cfinite_sequence import CFiniteSequence, CFiniteSequences

from .bernoulli_mod_p import bernoulli_mod_p, bernoulli_mod_p_single

from .monomials import monomials

CC = ComplexField()
CIF = ComplexIntervalField()

# invariant theory
from .invariants.all import *

from .fast_arith import prime_range

# continued fractions
from sage.rings.continued_fraction import (continued_fraction,
                                           continued_fraction_list)

# asymptotic ring
from .asymptotic.all import *

# Register classes in numbers abc
from . import numbers_abc
