Replace our coho intervals with RealSet in current sage

A difficulty: RealSet is currently not compatible with ParametricRealField.
sage: from cutgeneratingfunctionology.dff import *
sage: K.<delta, s> = ParametricRealField([1/5, 2])
INFO: 2019-07-03 13:52:08,623 Initialized ParametricRealField(names = ['delta', 's'], values = [1/5, 2])
sage: RealSet.open(delta, s)
---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
<ipython-input-3-59b90b78b88f> in <module>()
----> 1 RealSet.open(delta, s)

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/sets/real_set.pyc in open(lower, upper)
   1116             (0, 1)
   1117         """
-> 1118         lower, upper = RealSet._prep(lower, upper)
   1119         return RealSet(InternalRealInterval(lower, False, upper, False))
   1120 

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/sets/real_set.pyc in _prep(lower, upper)
   1079             lower = infinity
   1080         else:
-> 1081             lower = RLF(lower)
   1082         if upper is None:
   1083             return lower

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/parent.pyx in sage.structure.parent.Parent.__call__ (build/cythonized/sage/structure/parent.c:9197)()
    898         if mor is not None:
    899             if no_extra_args:
--> 900                 return mor._call_(x)
    901             else:
    902                 return mor._call_with_args(x, args, kwds)

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/coerce_maps.pyx in sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (build/cythonized/sage/structure/coerce_maps.c:4549)()
    160                 print(type(C), C)
    161                 print(type(C._element_constructor), C._element_constructor)
--> 162             raise
    163 
    164     cpdef Element _call_with_args(self, x, args=(), kwds={}):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/coerce_maps.pyx in sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (build/cythonized/sage/structure/coerce_maps.c:4441)()
    155         cdef Parent C = self._codomain
    156         try:
--> 157             return C._element_constructor(x)
    158         except Exception:
    159             if print_warnings:

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/categories/sets_cat.pyc in _element_constructor_from_element_class(self, *args, **keywords)
    992                 <class 'sage.categories.examples.sets_cat.PrimeNumbers_Inherits_with_category.element_class'>
    993             """
--> 994             return self.element_class(self, *args, **keywords)
    995 
    996         def is_parent_of(self, element):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/rings/real_lazy.pyx in sage.rings.real_lazy.LazyWrapper.__init__ (build/cythonized/sage/rings/real_lazy.c:11098)()
    944         self._value = value
    945         if check:
--> 946             self._parent.interval_field()(value)
    947 
    948     def __neg__(self):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/rings/real_mpfi.pyx in sage.rings.real_mpfi.RealIntervalField_class.__call__ (build/cythonized/sage/rings/real_mpfi.c:5998)()
    700         if kwds:
    701             return self.element_class(self, x, **kwds)
--> 702         return Parent.__call__(self, x)
    703 
    704     def algebraic_closure(self):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/parent.pyx in sage.structure.parent.Parent.__call__ (build/cythonized/sage/structure/parent.c:9197)()
    898         if mor is not None:
    899             if no_extra_args:
--> 900                 return mor._call_(x)
    901             else:
    902                 return mor._call_with_args(x, args, kwds)

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/coerce_maps.pyx in sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (build/cythonized/sage/structure/coerce_maps.c:4549)()
    160                 print(type(C), C)
    161                 print(type(C._element_constructor), C._element_constructor)
--> 162             raise
    163 
    164     cpdef Element _call_with_args(self, x, args=(), kwds={}):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/structure/coerce_maps.pyx in sage.structure.coerce_maps.DefaultConvertMap_unique._call_ (build/cythonized/sage/structure/coerce_maps.c:4441)()
    155         cdef Parent C = self._codomain
    156         try:
--> 157             return C._element_constructor(x)
    158         except Exception:
    159             if print_warnings:

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/categories/sets_cat.pyc in _element_constructor_from_element_class(self, *args, **keywords)
    992                 <class 'sage.categories.examples.sets_cat.PrimeNumbers_Inherits_with_category.element_class'>
    993             """
--> 994             return self.element_class(self, *args, **keywords)
    995 
    996         def is_parent_of(self, element):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/rings/real_mpfi.pyx in sage.rings.real_mpfi.RealIntervalFieldElement.__init__ (build/cythonized/sage/rings/real_mpfi.c:9331)()
   1246             mpfi_set_ui(self.value, 0)
   1247         else:
-> 1248             mpfi_set_sage(self.value, NULL, x, parent, base)
   1249 
   1250     def __reduce__(self):

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/rings/convert/mpfi.pyx in sage.rings.convert.mpfi.mpfi_set_sage (build/cythonized/sage/rings/convert/mpfi.c:5512)()
    208 
    209     # Finally, try converting via the corresponding RealField
--> 210     mpfi_set_via_RR(re, x, field)
    211     return return_real(im)
    212 

/Users/mkoeppe/s/sage/sage-rebasing/worktree-algebraic-2018-spring/local/lib/python2.7/site-packages/sage/rings/convert/mpfi.pyx in sage.rings.convert.mpfi.mpfi_set_via_RR (build/cythonized/sage/rings/convert/mpfi.c:6362)()
    290         rb = RIF.__upper_field(x)
    291     except TypeError:
--> 292         raise TypeError(f"unable to convert {x!r} to real interval")
    293     mpfi_interv_fr(re, (<RealNumber>ra).value, (<RealNumber>rb).value)

TypeError: unable to convert (delta)~ to real interval
mkoeppe / cutgeneratingfunctionology

Replace our coho intervals with RealSet in current sage #7
