gh-35099: sage.{coding,groups}: Replace imports from sage.*.all for namespace packages
    
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### 📚 Description
Fixes #34948

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### ⌛ Dependencies
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URL: #35099
Reported by: Matthias Köppe
Reviewer(s): Dima Pasechnik

Author: Release Manager

src/sage/coding/bch_code.py

@@ -27,8 +27,8 @@
 from sage.modules.free_module_element import vector
 from sage.misc.misc_c import prod
 from sage.categories.fields import Fields
-from sage.arith.all import gcd
-from sage.rings.all import Zmod
+from sage.arith.misc import gcd
+from sage.rings.finite_rings.integer_mod_ring import IntegerModRing as Zmod
 
 from .cyclic_code import CyclicCode
 from .grs_code import GeneralizedReedSolomonCode

src/sage/coding/binary_code.pyx

@@ -4103,7 +4103,7 @@ cdef class BinaryCodeClassifier:
                     m = BinaryCode(matrix(ZZ, rs))
 
                     m_aut_gp_gens, m_labeling, m_size, m_base = self._aut_gp_and_can_label(m)
-                    from sage.arith.all import factorial
+                    from sage.arith.misc import factorial
                     if True:  # size*factorial(n-B.ncols) == m_size:
 
                         if len(m_aut_gp_gens) == 0:

src/sage/coding/code_bounds.py

@@ -173,11 +173,14 @@
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
 
+from sage.arith.misc import binomial, is_prime_power
 from sage.libs.gap.libgap import libgap
-from sage.rings.all import QQ, RR, ZZ, RDF
-from sage.arith.misc import is_prime_power
-from sage.arith.all import binomial
 from sage.misc.functional import sqrt, log
+from sage.rings.integer_ring import ZZ
+from sage.rings.rational_field import QQ
+from sage.rings.real_double import RDF
+from sage.rings.real_mpfr import RR
+
 from .delsarte_bounds import (delsarte_bound_hamming_space,
                               delsarte_bound_additive_hamming_space)
 from sage.features.gap import GapPackage

src/sage/coding/code_constructions.py

@@ -40,20 +40,17 @@
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
 
-from sage.misc.misc_c import prod
-from sage.arith.all import quadratic_residues, gcd
-
-from sage.structure.sequence import Sequence, Sequence_generic
-
-from sage.matrix.matrix_space import MatrixSpace
+from sage.arith.misc import gcd, quadratic_residues
 from sage.matrix.constructor import matrix
+from sage.matrix.matrix_space import MatrixSpace
 from sage.matrix.special import random_matrix
-
+from sage.misc.misc_c import prod
 from sage.rings.finite_rings.finite_field_constructor import FiniteField as GF
 from sage.rings.finite_rings.integer_mod import Mod
 from sage.rings.finite_rings.integer_mod_ring import IntegerModRing
-from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
 from sage.rings.integer import Integer
+from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
+from sage.structure.sequence import Sequence, Sequence_generic
 
 from .linear_code import LinearCode
 
@@ -753,7 +750,7 @@ def ToricCode(P,F):
 
     - David Joyner (07-2006)
     """
-    from sage.combinat.all import Tuples
+    from sage.combinat.tuple import Tuples
     mset = [x for x in F if x != 0]
     d = len(P[0])
     pts = Tuples(mset, d).list()

src/sage/coding/cyclic_code.py

@@ -41,11 +41,11 @@
 from copy import copy
 from sage.rings.integer import Integer
 from sage.categories.homset import Hom
-from sage.arith.all import gcd
+from sage.arith.misc import gcd
 from sage.modules.free_module_element import vector
 from sage.matrix.constructor import matrix
 from sage.misc.cachefunc import cached_method
-from sage.rings.all import Zmod
+from sage.rings.finite_rings.integer_mod_ring import IntegerModRing as Zmod
 
 
 def find_generator_polynomial(code, check=True):

src/sage/coding/delsarte_bounds.py

@@ -102,7 +102,7 @@ def krawtchouk(n, q, l, x, check=True):
         ...
         TypeError: no conversion of this rational to integer
     """
-    from sage.arith.all import binomial
+    from sage.arith.misc import binomial
     from sage.arith.srange import srange
     # Use the expression in equation (55) of MacWilliams & Sloane, pg 151
     # We write jth term = some_factor * (j-1)th term
@@ -171,7 +171,7 @@ def eberlein(n, w, k, u, check=True):
         TypeError: either m or x-m must be an integer
 
     """
-    from sage.arith.all import binomial
+    from sage.arith.misc import binomial
     from sage.arith.srange import srange
 
     if 2*w > n:
@@ -275,7 +275,7 @@ def _delsarte_cwc_LP_building(n, d, w, solver, isinteger):
 
     """
     from sage.numerical.mip import MixedIntegerLinearProgram
-    from sage.arith.all import binomial
+    from sage.arith.misc import binomial
 
     p = MixedIntegerLinearProgram(maximization=True, solver=solver)
     A = p.new_variable(integer=isinteger, nonnegative=True)
@@ -602,7 +602,6 @@ def _delsarte_Q_LP_building(q, d, solver, isinteger):
     EXAMPLES::
 
         sage: from sage.coding.delsarte_bounds import _delsarte_Q_LP_building
-        sage: from sage.all import *
         sage: q = Matrix([[codes.bounds.krawtchouk(6,2,i,j) for j in range(7)] for i in range(7)])
         sage: _, p = _delsarte_Q_LP_building(q, 2, "PPL", False)
         sage: p.show()

src/sage/coding/information_set_decoder.py

@@ -40,7 +40,11 @@
 #                  http://www.gnu.org/licenses/
 #******************************************************************************
 
-from sage.all import ZZ, Integer, vector, SageObject, binomial
+from sage.rings.integer_ring import ZZ
+from sage.rings.integer import Integer
+from sage.modules.free_module_element import free_module_element as vector
+from sage.structure.sage_object import SageObject
+from sage.functions.other import binomial
 from .decoder import Decoder
 
 

src/sage/coding/linear_code.py

@@ -205,32 +205,33 @@ class should inherit from this class. Also ``AbstractLinearCode`` should never
 import os
 import subprocess
 
-from io import StringIO
 from copy import copy
+from io import StringIO
 
-from sage.cpython.string import bytes_to_str
+from sage.arith.misc import binomial, GCD
 from sage.categories.cartesian_product import cartesian_product
 from sage.categories.fields import Fields
+from sage.coding.decoder import Decoder
+from sage.coding.encoder import Encoder
+from sage.coding.linear_code_no_metric import AbstractLinearCodeNoMetric
+from sage.combinat.subset import Subsets
+from sage.cpython.string import bytes_to_str
+from sage.features.gap import GapPackage
+from sage.groups.all import SymmetricGroup
+from sage.groups.perm_gps.permgroup import PermutationGroup
+from sage.interfaces.gap import gap
 from sage.matrix.matrix_space import MatrixSpace
+from sage.misc.cachefunc import cached_method
+from sage.misc.functional import is_even
+from sage.misc.misc_c import prod
+from sage.misc.randstate import current_randstate
 from sage.modules.free_module import VectorSpace
 from sage.modules.free_module_element import vector
-from sage.arith.all import GCD, binomial
-from sage.groups.all import SymmetricGroup
-from sage.groups.perm_gps.permgroup import PermutationGroup
-from sage.rings.rational_field import QQ
+from sage.rings.finite_rings.finite_field_constructor import FiniteField as GF
+from sage.rings.integer import Integer
 from sage.rings.integer_ring import ZZ
 from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
-from sage.rings.integer import Integer
-from sage.rings.finite_rings.finite_field_constructor import FiniteField as GF
-from sage.misc.misc_c import prod
-from sage.misc.functional import is_even
-from sage.misc.cachefunc import cached_method
-from sage.misc.randstate import current_randstate
-from sage.combinat.subset import Subsets
-from sage.features.gap import GapPackage
-from sage.coding.linear_code_no_metric import AbstractLinearCodeNoMetric
-from .encoder import Encoder
-from .decoder import Decoder
+from sage.rings.rational_field import QQ
 
 # *****************************************************************************
 # coding theory functions

src/sage/groups/abelian_gps/abelian_group.py

@@ -202,21 +202,22 @@
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
 
-from sage.rings.integer import Integer
-from sage.rings.integer_ring import ZZ
-from sage.structure.category_object import normalize_names
-from sage.structure.unique_representation import UniqueRepresentation
-from sage.rings.infinity import infinity
-from sage.arith.all import divisors, gcd, lcm
+from sage.arith.functions import lcm
+from sage.arith.misc import divisors, gcd
+from sage.categories.groups import Groups
 from sage.groups.abelian_gps.abelian_group_element import AbelianGroupElement
-from sage.misc.cachefunc import cached_method
-from sage.misc.misc_c import prod
-from sage.misc.mrange import mrange, cartesian_product_iterator
 from sage.groups.group import AbelianGroup as AbelianGroupBase
-from sage.categories.groups import Groups
 from sage.matrix.constructor import matrix
 from sage.matrix.special import diagonal_matrix
+from sage.misc.cachefunc import cached_method
+from sage.misc.misc_c import prod
+from sage.misc.mrange import cartesian_product_iterator, mrange
 from sage.modules.free_module_element import vector
+from sage.rings.infinity import infinity
+from sage.rings.integer import Integer
+from sage.rings.integer_ring import ZZ
+from sage.structure.category_object import normalize_names
+from sage.structure.unique_representation import UniqueRepresentation
 
 
 # TODO: this uses perm groups - the AbelianGroupElement instance method

src/sage/groups/abelian_gps/dual_abelian_group_element.py

@@ -52,7 +52,7 @@
 # (at your option) any later version.
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
-from sage.arith.all import LCM
+from sage.arith.functions import lcm as LCM
 from sage.groups.abelian_gps.element_base import AbelianGroupElementBase