Replace relative imports by absolute ones in rings

src/sage/rings/abc.pxd

@@ -1,4 +1,4 @@
-from .ring cimport CommutativeRing, Field
+from sage.rings.ring cimport CommutativeRing, Field
 
 cdef class RealField(Field):
 

src/sage/rings/all.py

@@ -12,10 +12,10 @@
 # ****************************************************************************
 from sage.misc.lazy_import import lazy_import
 
-from .all__sagemath_categories import *
+from sage.rings.all__sagemath_categories import *
 
 # Ring base classes
-from .ring import (Ring, Field, CommutativeRing, IntegralDomain,
+from sage.rings.ring import (Ring, Field, CommutativeRing, IntegralDomain,
     DedekindDomain, PrincipalIdealDomain, EuclideanDomain)
 
 # Ring element base classes
@@ -25,22 +25,22 @@
         EuclideanDomainElement, FieldElement)
 
 # Ideals
-from .ideal import Ideal
+from sage.rings.ideal import Ideal
 ideal = Ideal
 
 # Quotient
-from .quotient_ring import QuotientRing
+from sage.rings.quotient_ring import QuotientRing
 
 # Infinities
-from .infinity import infinity, Infinity, InfinityRing, unsigned_infinity, UnsignedInfinityRing
+from sage.rings.infinity import infinity, Infinity, InfinityRing, unsigned_infinity, UnsignedInfinityRing
 
 # Rational integers.
-from .integer_ring import IntegerRing, ZZ, crt_basis
-from .integer import Integer
+from sage.rings.integer_ring import IntegerRing, ZZ, crt_basis
+from sage.rings.integer import Integer
 
 # Rational numbers
-from .rational_field import RationalField, QQ
-from .rational import Rational
+from sage.rings.rational_field import RationalField, QQ
+from sage.rings.rational import Rational
 Rationals = RationalField
 
 # Integers modulo n.
@@ -49,120 +49,120 @@
 Integers = IntegerModRing
 
 # Finite fields
-from .finite_rings.all import *
+from sage.rings.finite_rings.all import *
 
 # Number field
-from .number_field.all import *
+from sage.rings.number_field.all import *
 
 # Function field
-from .function_field.all import *
+from sage.rings.function_field.all import *
 
 # Finite residue fields
-from .finite_rings.residue_field import ResidueField
+from sage.rings.finite_rings.residue_field import ResidueField
 
 # p-adic field
-from .padics.all import *
-from .padics.padic_printing import _printer_defaults as padic_printing
+from sage.rings.padics.all import *
+from sage.rings.padics.padic_printing import _printer_defaults as padic_printing
 
 # valuations
-from .valuation.all import *
+from sage.rings.valuation.all import *
 
 # Semirings
-from .semirings.all import *
+from sage.rings.semirings.all import *
 
 # Real numbers
-from .real_mpfr import (RealField, RR,
+from sage.rings.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 sage.rings.real_double import RealDoubleField, RDF, RealDoubleElement
 
-from .real_lazy import RealLazyField, RLF, ComplexLazyField, CLF
+from sage.rings.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 *
+from sage.rings.polynomial.all import *
 
 
 # Algebraic numbers
-from .qqbar import (AlgebraicRealField, AA,
+from sage.rings.qqbar import (AlgebraicRealField, AA,
                    AlgebraicReal,
                    AlgebraicField, QQbar,
                    AlgebraicNumber,
                    number_field_elements_from_algebraics)
-from .universal_cyclotomic_field import UniversalCyclotomicField, E
+from sage.rings.universal_cyclotomic_field import UniversalCyclotomicField, E
 
 # Intervals
-from .real_mpfi import (RealIntervalField,
+from sage.rings.real_mpfi import (RealIntervalField,
                        RIF,
                        RealInterval)
 
 # Complex numbers
-from .complex_mpfr import ComplexField
-from .complex_mpfr import create_ComplexNumber as ComplexNumber
+from sage.rings.complex_mpfr import ComplexField
+from sage.rings.complex_mpfr import create_ComplexNumber as ComplexNumber
 Complexes = ComplexField
-from .complex_interval_field import ComplexIntervalField
-from .complex_interval import (create_ComplexIntervalFieldElement as ComplexIntervalFieldElement)
+from sage.rings.complex_interval_field import ComplexIntervalField
+from sage.rings.complex_interval import (create_ComplexIntervalFieldElement as ComplexIntervalFieldElement)
 
-from .complex_double import ComplexDoubleField, ComplexDoubleElement, CDF
+from sage.rings.complex_double import ComplexDoubleField, ComplexDoubleElement, CDF
 
-from .complex_mpc import MPComplexField
+from sage.rings.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 sage.rings.power_series_ring import PowerSeriesRing
 
 # Laurent series ring in one variable
-from .laurent_series_ring import LaurentSeriesRing
+from sage.rings.laurent_series_ring import LaurentSeriesRing
 
 # Lazy Laurent series ring
 lazy_import('sage.rings.lazy_series_ring', ['LazyLaurentSeriesRing', 'LazyPowerSeriesRing',
                                             'LazySymmetricFunctions', 'LazyDirichletSeriesRing'])
 
 # Tate algebras
-from .tate_algebra import TateAlgebra
+from sage.rings.tate_algebra import TateAlgebra
 
 # Puiseux series ring
-from .puiseux_series_ring import PuiseuxSeriesRing
+from sage.rings.puiseux_series_ring import PuiseuxSeriesRing
 
 # Pseudo-ring of PARI objects.
-from .pari_ring import PariRing, Pari
+from sage.rings.pari_ring import PariRing, Pari
 
 # Big-oh notation
-from .big_oh import O
+from sage.rings.big_oh import O
 
 # Fraction field
-from .fraction_field import FractionField
+from sage.rings.fraction_field import FractionField
 Frac = FractionField
 
 # Localization
-from .localization import Localization
+from sage.rings.localization import Localization
 
 # c-finite sequences
-from .cfinite_sequence import CFiniteSequence, CFiniteSequences
+from sage.rings.cfinite_sequence import CFiniteSequence, CFiniteSequences
 
-from .bernoulli_mod_p import bernoulli_mod_p, bernoulli_mod_p_single
+from sage.rings.bernoulli_mod_p import bernoulli_mod_p, bernoulli_mod_p_single
 
-from .monomials import monomials
+from sage.rings.monomials import monomials
 
-from .cc import CC
-from .cif import CIF
+from sage.rings.cc import CC
+from sage.rings.cif import CIF
 
 # invariant theory
-from .invariants.all import *
+from sage.rings.invariants.all import *
 
-from .fast_arith import prime_range
+from sage.rings.fast_arith import prime_range
 
 # continued fractions
 from sage.rings.continued_fraction import (continued_fraction,
                                            continued_fraction_list)
 
 # asymptotic ring
-from .asymptotic.all import *
+from sage.rings.asymptotic.all import *
 
 # Register classes in numbers abc
-from . import numbers_abc
+from sage.rings import numbers_abc

src/sage/rings/all__sagemath_categories.py

@@ -1,6 +1,6 @@
 # Ring base classes
-from .ring import Ring
-
+from sage.rings.ring import Ring
 # Ideals
-from .ideal import Ideal
+from sage.rings.ideal import Ideal
+
 ideal = Ideal

src/sage/rings/big_oh.py

@@ -11,6 +11,7 @@
 
 from sage.arith.misc import factor
 from sage.misc.lazy_import import lazy_import
+
 lazy_import('sage.rings.padics.factory', ['Qp', 'Zp'])
 lazy_import('sage.rings.padics.padic_generic_element', 'pAdicGenericElement')
 from sage.rings.polynomial.polynomial_element import Polynomial
@@ -25,10 +26,12 @@
 except ImportError:
     PuiseuxSeries = ()
 
-from . import power_series_ring_element
-from . import integer
-from . import rational
-from . import multi_power_series_ring_element
+from sage.rings import (
+    integer,
+    multi_power_series_ring_element,
+    power_series_ring_element,
+    rational,
+)
 
 
 def O(*x, **kwds):

src/sage/rings/cc.py

@@ -1,3 +1,3 @@
-from .complex_mpfr import ComplexField
+from sage.rings.complex_mpfr import ComplexField
 
 CC = ComplexField()

src/sage/rings/cif.py

@@ -1,3 +1,3 @@
-from .complex_interval_field import ComplexIntervalField
+from sage.rings.complex_interval_field import ComplexIntervalField
 
 CIF = ComplexIntervalField()

src/sage/rings/complex_conversion.pyx

@@ -1,5 +1,5 @@
-from .complex_double cimport ComplexDoubleElement
-from .complex_mpfr cimport ComplexNumber
+from sage.rings.complex_double cimport ComplexDoubleElement
+from sage.rings.complex_mpfr cimport ComplexNumber
 from sage.libs.mpfr cimport mpfr_get_d, MPFR_RNDN
 from sage.libs.gsl.complex cimport GSL_SET_COMPLEX
 

src/sage/rings/complex_double.pyx

@@ -105,10 +105,10 @@ complex_double_element_gamma = None
 complex_double_element_gamma_inc = None
 complex_double_element_zeta = None
 
-from .complex_conversion cimport CCtoCDF
+from sage.rings.complex_conversion cimport CCtoCDF
 
-from .real_double cimport RealDoubleElement, double_repr
-from .real_double import RDF
+from sage.rings.real_double cimport RealDoubleElement, double_repr
+from sage.rings.real_double import RDF
 from sage.rings.integer_ring import ZZ
 from sage.structure.richcmp cimport rich_to_bool
 

src/sage/rings/complex_interval.pxd

@@ -2,7 +2,7 @@ from sage.libs.mpfr.types cimport mpfr_prec_t
 from sage.libs.mpfi.types cimport mpfi_t
 
 cimport sage.structure.element
-from .real_mpfi cimport RealIntervalFieldElement, RealIntervalField_class
+from sage.rings.real_mpfi cimport RealIntervalFieldElement, RealIntervalField_class
 
 
 cdef class ComplexIntervalFieldElement(sage.structure.element.FieldElement):

src/sage/rings/complex_interval.pyx

@@ -66,12 +66,12 @@ from sage.arith.constants cimport LOG_TEN_TWO_PLUS_EPSILON
 
 from sage.structure.element cimport FieldElement
 from sage.structure.parent cimport Parent
-from .complex_mpfr cimport ComplexNumber
+from sage.rings.complex_mpfr cimport ComplexNumber
 from sage.rings.integer cimport Integer
 cimport sage.rings.real_mpfi as real_mpfi
-from .real_mpfr cimport RealNumber
-from .convert.mpfi cimport mpfi_set_sage
-from .infinity import infinity
+from sage.rings.real_mpfr cimport RealNumber
+from sage.rings.convert.mpfi cimport mpfi_set_sage
+from sage.rings.infinity import infinity
 
 
 def is_ComplexIntervalFieldElement(x):

src/sage/rings/complex_interval_field.py

@@ -36,18 +36,17 @@
 # ****************************************************************************
 
 
-from sage.structure.parent import Parent
-from .integer_ring import ZZ
-from .rational_field import QQ
-from .ring import Field
-import sage.rings.abc
-from . import integer
-from . import complex_interval
 import weakref
-from .real_mpfi import RealIntervalField, RealIntervalField_class
-from .complex_mpfr import ComplexField
-from sage.misc.cachefunc import cached_method
 
+import sage.rings.abc
+from sage.misc.cachefunc import cached_method
+from sage.rings import complex_interval, integer
+from sage.rings.complex_mpfr import ComplexField
+from sage.rings.integer_ring import ZZ
+from sage.rings.rational_field import QQ
+from sage.rings.real_mpfi import RealIntervalField, RealIntervalField_class
+from sage.rings.ring import Field
+from sage.structure.parent import Parent
 
 cache = {}
 def ComplexIntervalField(prec=53, names=None):

src/sage/rings/complex_mpc.pyx

@@ -59,7 +59,7 @@ EXAMPLES::
 # ****************************************************************************
 
 import re
-from . import real_mpfr
+from sage.rings import real_mpfr
 import weakref
 from cpython.object cimport Py_NE
 
@@ -74,13 +74,13 @@ from sage.structure.richcmp cimport rich_to_bool
 from sage.categories.map cimport Map
 from sage.libs.pari.all import pari
 
-from .integer cimport Integer
-from .complex_mpfr cimport ComplexNumber
-from .complex_mpfr import ComplexField_class
+from sage.rings.integer cimport Integer
+from sage.rings.complex_mpfr cimport ComplexNumber
+from sage.rings.complex_mpfr import ComplexField_class
 
 from sage.misc.randstate cimport randstate, current_randstate
-from .real_mpfr cimport RealField_class, RealNumber
-from .real_mpfr import mpfr_prec_min, mpfr_prec_max
+from sage.rings.real_mpfr cimport RealField_class, RealNumber
+from sage.rings.real_mpfr import mpfr_prec_min, mpfr_prec_max
 from sage.structure.richcmp cimport rich_to_bool, richcmp
 from sage.categories.fields import Fields
 

src/sage/rings/complex_mpfr.pxd

@@ -1,7 +1,7 @@
 from sage.libs.mpfr.types cimport mpfr_t, mpfr_prec_t
 
 cimport sage.structure.element
-from .real_mpfr cimport RealNumber
+from sage.rings.real_mpfr cimport RealNumber
 
 cdef class ComplexNumber(sage.structure.element.FieldElement):
     cdef mpfr_t __re

src/sage/rings/complex_mpfr.pyx

@@ -46,11 +46,11 @@ from sage.misc.sage_eval import sage_eval
 
 import sage.rings.abc
 from sage.arith.constants cimport LOG_TEN_TWO_PLUS_EPSILON
-from . import infinity
-from .integer cimport Integer
+from sage.rings import infinity
+from sage.rings.integer cimport Integer
 
-from .complex_double cimport ComplexDoubleElement
-from .real_mpfr cimport RealNumber
+from sage.rings.complex_double cimport ComplexDoubleElement
+from sage.rings.real_mpfr cimport RealNumber
 from sage.libs.gsl.complex cimport *
 
 from sage.libs.mpmath.utils cimport mpfr_to_mpfval