Allow Sage to work with a system Python 3.6.

Currently sage-the-distribution is tested against a minimum of Python
3.7, but we can support more system Pythons by supporting down to 3.6
with some minimal fixes to tests.

build/bin/sage-spkg

@@ -68,7 +68,9 @@
 #*****************************************************************************
 
 # Avoid surprises with character ranges [a-z] in regular expressions
-export LC_ALL=C
+# See Trac #15791; some locales can produce different results for
+# character ranges (use C.UTF-8 to ensure UTF-8 default encoding in Python)
+export LC_ALL=C.UTF-8
 
 usage()
 {

build/pkgs/python3/spkg-configure.m4

@@ -10,14 +10,14 @@ SAGE_SPKG_CONFIGURE([python3], [
  dnl Using Python 3 for Sage. Check if we can do venv with a system python3
  dnl instead of building our own copy.
  check_modules="sqlite3, ctypes, math, hashlib, crypt, readline, socket, zlib, distutils.core"
- AC_CACHE_CHECK([for python3 >= 3.7.3, < 3.8 with modules $check_modules], [ac_cv_path_PYTHON3], [
+ AC_CACHE_CHECK([for python3 >= 3.6, < 3.8 with modules $check_modules], [ac_cv_path_PYTHON3], [
  AC_MSG_RESULT([])
- AC_PATH_PROGS_FEATURE_CHECK([PYTHON3], [python3.7 python3], [
+ AC_PATH_PROGS_FEATURE_CHECK([PYTHON3], [python3.7 python3.6 python3], [
  AC_MSG_CHECKING([... whether $ac_path_PYTHON3 is good])
  python3_version=`"$ac_path_PYTHON3" --version 2>&1 \
  | $SED -n -e 's/\([[0-9]]*\.[[0-9]]*\.[[0-9]]*\).*/\1/p'`
  AS_IF([test -n "$python3_version"], [
- AX_COMPARE_VERSION([$python3_version], [ge], [3.7.3], [
+ AX_COMPARE_VERSION([$python3_version], [ge], [3.6.0], [
  AX_COMPARE_VERSION([$python3_version], [lt], [3.8.0], [
  dnl Because the system python is not used directly but rather in a venv without site-packages,
  dnl we test whether the module will be available in a venv.
@@ -118,7 +118,7 @@ EOF
  ac_path_PYTHON3_found=:
  AC_MSG_RESULT([yes])
  dnl introduction for AC_MSG_RESULT printed by AC_CACHE_CHECK
- AC_MSG_CHECKING([for python3 >= 3.7.3, < 3.8 with modules $check_modules])
+ AC_MSG_CHECKING([for python3 >= 3.6, < 3.8 with modules $check_modules])
  ], [
  AC_MSG_RESULT([no, the version is in the supported range, and the modules can be imported, but distutils cannot build a C++ 11 extension])
  ])

src/sage/all.py

@@ -22,7 +22,7 @@
  ....: 'IPython', 'prompt_toolkit', 'jedi', # sage dependencies
  ....: 'threading', 'multiprocessing', # doctest dependencies
  ....: '__main__', 'sage.doctest', # doctesting
- ....: 'signal', 'enum',   # may appear in Python 3
+ ....: 'signal', 'enum', 'types' # may appear in Python 3
  ....: ]
  sage: def is_not_allowed(frame):
  ....: module = inspect.getmodule(frame)

src/sage/combinat/subset.py

@@ -357,7 +357,22 @@ def cardinality(self):
  """
  return Integer(1) << self._s.cardinality()
 
- __len__ = cardinality
+ def __len__(self):
+ r"""
+ Equivalent to ``self.cardinality()``.
+
+ TESTS::
+
+ ``__len__`` should return a Python int; in Python 3.7+ this happens
+ automatically, but not on Python 3.6.
+
+ sage: S = Subsets(Set([1,2,3]))
+ sage: len(S)
+ 8
+ sage: type(len(S)) is int
+ True
+ """
+ return int(self.cardinality())
 
  def first(self):
  """

src/sage/graphs/views.pyx

@@ -611,6 +611,7 @@ cdef class EdgesView:
  elif i < 0:
  return list(self)[i]
  else:
+ i = int(i) # For Python < 3.7 where islice doesn't support non-int
  try:
  return next(islice(self, i, i + 1, 1))
  except StopIteration:

src/sage/misc/sagedoc.py

@@ -1064,7 +1064,7 @@ def search_src(string, extra1='', extra2='', extra3='', extra4='',
  sage: print(search_src(" fetch(", "def", interact=False)) # py3
  Traceback (most recent call last):
  ...
- re.error: missing ), unterminated subpattern at position 6
+ error: missing ), unterminated subpattern at position 6
 
  To fix this, *escape* the parenthesis with a backslash::
 

src/sage/misc/sageinspect.py

@@ -1724,10 +1724,8 @@ def sage_formatargspec(args, varargs=None, varkw=None, defaults=None,
  sage: defaults = [3]
  sage: sage_formatargspec(args, defaults=defaults)
  '(a, b, c=3)'
- sage: formatargspec(args, defaults=defaults) == sage_formatargspec(args, defaults=defaults) # py2
- True
- sage: formatargspec(args, defaults=defaults) == sage_formatargspec(args, defaults=defaults) # py3
- doctest:...: DeprecationWarning: `formatargspec` is deprecated since Python 3.5. Use `signature` and the `Signature` object directly
+ sage: import warnings; warnings.simplefilter('ignore') # py3: ignore DeprecationWarning
+ sage: formatargspec(args, defaults=defaults) == sage_formatargspec(args, defaults=defaults)
  True
  """
  def formatargandannotation(arg):

src/sage/symbolic/expression.pyx

@@ -5869,14 +5869,10 @@ cdef class Expression(CommutativeRingElement):
 
  Indexing directly with ``t[1]`` causes problems with numpy types.
 
- sage: t[1] # py2
+ sage: t[1]
  Traceback (most recent call last):
  ...
- TypeError: 'sage.symbolic.expression.Expression' object does not support indexing
- sage: t[1] # py3
- Traceback (most recent call last):
- ...
- TypeError: 'sage.symbolic.expression.Expression' object is not subscriptable
+ TypeError: 'sage.symbolic.expression.Expression' object ...
  """
  if (is_a_symbol(self._gobj) or is_a_constant(self._gobj) or
  is_a_numeric(self._gobj)):