Trac #34956: sage.{misc,monoids,sets}: Replace imports from sage.*.all for namespace packages

Using `./sage -fiximports` from #34945.

Also remove trailing whitespace in the affected files.

Part of Meta-ticket #32414

URL: https://trac.sagemath.org/34956
Reported by: mkoeppe
Ticket author(s): Alex Chandler, Matthias Koeppe
Reviewer(s): Travis Scrimshaw

Author: Release Manager

src/sage/env.py

@@ -11,7 +11,8 @@
 
     sage: env = {k:v for (k,v) in os.environ.items() if not k.startswith("SAGE_")}
     sage: from subprocess import check_output
-    sage: cmd = "from sage.all import SAGE_ROOT, SAGE_LOCAL; print((SAGE_ROOT, SAGE_LOCAL))"
+    sage: environment = "sage.all"
+    sage: cmd = f"from {environment} import SAGE_ROOT, SAGE_LOCAL; print((SAGE_ROOT, SAGE_LOCAL))"
     sage: out = check_output([sys.executable, "-c", cmd], env=env).decode().strip()   # long time
     sage: out == repr((SAGE_ROOT, SAGE_LOCAL))                                        # long time
     True

src/sage/misc/cachefunc.pyx

@@ -69,7 +69,7 @@ approach is still needed for cpdef methods::
     sage: cython_code = ['cpdef test_meth(self,x):',
     ....: '    "some doc for a wrapped cython method"',
     ....: '    return -x',
-    ....: 'from sage.all import cached_method',
+    ....: 'from sage.misc.cachefunc import cached_method',
     ....: 'from sage.structure.parent cimport Parent',
     ....: 'cdef class MyClass(Parent):',
     ....: '    @cached_method',
@@ -107,7 +107,10 @@ By :trac:`11115`, even if a parent does not allow attribute
 assignment, it can inherit a cached method from the parent class of a
 category (previously, the cache would have been broken)::
 
-    sage: cython_code = ["from sage.all import cached_method, cached_in_parent_method, Category, Objects",
+    sage: cython_code = ["from sage.misc.cachefunc import cached_method", 
+    ....: "from sage.misc.cachefunc import cached_in_parent_method",
+    ....: "from sage.categories.category import Category", 
+    ....: "from sage.categories.objects import Objects",
     ....: "class MyCategory(Category):",
     ....: "    @cached_method",
     ....: "    def super_categories(self):",

src/sage/misc/fast_methods.pyx

@@ -311,7 +311,7 @@ class Singleton(WithEqualityById, metaclass=ClasscallMetaclass):
         EXAMPLES::
 
             sage: from sage.misc.fast_methods import Singleton
-            sage: class C(Singleton, Parent):                  
+            sage: class C(Singleton, Parent):
             ....:     def __init__(self):
             ....:         print("creating singleton")
             ....:         Parent.__init__(self, base=ZZ, category=Rings())
@@ -321,7 +321,7 @@ class Singleton(WithEqualityById, metaclass=ClasscallMetaclass):
             sage: __main__.C = C       # ... in doctests
             sage: loads(dumps(c)) is copy(c) is C()  # indirect doctest
             True
-        """ 
+        """
         return self
 
     def __reduce__(self):
@@ -332,7 +332,7 @@ class Singleton(WithEqualityById, metaclass=ClasscallMetaclass):
         EXAMPLES::
 
             sage: from sage.misc.fast_methods import Singleton
-            sage: class C(Singleton, Parent):                  
+            sage: class C(Singleton, Parent):
             ....:     def __init__(self):
             ....:         print("creating singleton")
             ....:         Parent.__init__(self, base=ZZ, category=Rings())
@@ -349,5 +349,5 @@ class Singleton(WithEqualityById, metaclass=ClasscallMetaclass):
         instance.If the class is replaced by a sub-sub-class after creation
         of the instance, pickling fails. See the doctest
         in :class:`Singleton`.
-        """ 
+        """
         return self.__class__, ()

src/sage/misc/functional.py

@@ -1822,7 +1822,7 @@ def squarefree_part(x):
         return x.squarefree_part()
     except AttributeError:
         pass
-    from sage.arith.all import factor
+    from sage.arith.misc import factor
     from sage.structure.all import parent
     F = factor(x)
     n = parent(x)(1)

src/sage/misc/latex.py

@@ -409,7 +409,7 @@ def float_function(x):
         sage: latex(float(2e-13))
         2 \times 10^{-13}
     """
-    from sage.all import RDF
+    from sage.rings.real_double import RDF
     return latex(RDF(x))