update doctests for cython 3

Author: infmagic2047

src/doc/en/thematic_tutorials/coercion_and_categories.rst

@@ -105,7 +105,7 @@ it makes sense to build on top of the base class
 This base class provides a lot more methods than a general parent::
 
     sage: [p for p in dir(Field) if p not in dir(Parent)]
-    ['__fraction_field',
+    ['_CommutativeRing__fraction_field',
      '__iter__',
      '__len__',
      '__rxor__',

src/sage/arith/srange.pyx

@@ -84,7 +84,7 @@ def xsrange(start, end=None, step=1, universe=None, *, coerce=True, bint include
     EXAMPLES::
 
         sage: xsrange(10)
-        <generator object at 0x...>
+        <_cython_3_0_0.generator object at 0x...>
         sage: for i in xsrange(1,5):
         ....:     print(i)
         1

src/sage/combinat/sloane_functions.py

@@ -9171,7 +9171,7 @@ def __getattribute__(self, name):
         ::
 
             sage: sloane.__repr__
-            <method-wrapper '__repr__' of Sloane object at 0x...>
+            <built-in method __repr__ of Sloane object at 0x...>
             sage: sloane.__name__
             Traceback (most recent call last):
             ...

src/sage/misc/cachefunc.pyx

@@ -49,7 +49,7 @@ be used::
     sage: cython('''cpdef test_funct(x): return -x''')                          # optional - sage.misc.cython
     sage: wrapped_funct = cached_function(test_funct, name='wrapped_funct')     # optional - sage.misc.cython
     sage: wrapped_funct                                                         # optional - sage.misc.cython
-    Cached version of <built-in function test_funct>
+    Cached version of <cyfunction test_funct at ...>
     sage: wrapped_funct.__name__                                                # optional - sage.misc.cython
     'wrapped_funct'
     sage: wrapped_funct(5)                                                      # optional - sage.misc.cython
@@ -80,9 +80,9 @@ approach is still needed for cpdef methods::
     sage: cython(os.linesep.join(cython_code))                                  # optional - sage.misc.cython
     sage: O = MyClass()                                                         # optional - sage.misc.cython
     sage: O.direct_method                                                       # optional - sage.misc.cython
-    Cached version of <method 'direct_method' of '...MyClass' objects>
+    Cached version of <cyfunction MyClass.direct_method at ...>
     sage: O.wrapped_method                                                      # optional - sage.misc.cython
-    Cached version of <built-in function test_meth>
+    Cached version of <cyfunction test_meth at ...>
     sage: O.wrapped_method.__name__                                             # optional - sage.misc.cython
     'wrapped_method'
     sage: O.wrapped_method(5)                                                   # optional - sage.misc.cython
@@ -263,6 +263,7 @@ Introspection works::
         "some doc for a wrapped cython method"
         return -x
     sage: print(sage_getsource(O.direct_method))                                # optional - sage.misc.cython
+    @cached_method
     def direct_method(self, x):
         "Some doc for direct method"
         return 2*x

src/sage/misc/lazy_import.pyx

@@ -1091,7 +1091,7 @@ def lazy_import(module, names, as_=None, *,
         sage: from sage.features import PythonModule
         sage: lazy_import('ppl', 'equation', feature=PythonModule('ppl', spkg='pplpy', type='standard'))
         sage: equation
-        <built-in function equation>
+        <cyfunction equation at ...>
         sage: lazy_import('PyNormaliz', 'NmzListConeProperties', feature=PythonModule('PyNormaliz', spkg='pynormaliz'))  # optional - pynormaliz
         sage: NmzListConeProperties  # optional - pynormaliz
         <built-in function NmzListConeProperties>

src/sage/misc/lazy_list.pyx

@@ -677,7 +677,7 @@ cdef class lazy_list_generic():
             sage: from itertools import count
             sage: from sage.misc.lazy_list import lazy_list
             sage: iter(lazy_list(count()))
-            <generator object at 0x...>
+            <_cython_3_0_0.generator object at 0x...>
 
         ::
 

src/sage/misc/sageinspect.py

@@ -76,8 +76,8 @@
     sage: sage_getdoc(sage.rings.rational.make_rational).lstrip()
     'Make a rational number ...'
 
-    sage: sage_getsource(sage.rings.rational.make_rational)[4:]
-    'make_rational(s):...'
+    sage: sage_getsource(sage.rings.rational.make_rational)
+    '@cython.binding(True)\ndef make_rational(s):...'
 
 Python functions::
 

src/sage/modules/free_module_element.pyx

@@ -1612,7 +1612,7 @@ cdef class FreeModuleElement(Vector):   # abstract base class
 
             sage: v = vector([1,2/3,pi])
             sage: v.items()
-            <generator object at ...>
+            <_cython_3_0_0.generator object at ...>
             sage: list(v.items())
             [(0, 1), (1, 2/3), (2, pi)]
 

src/sage/rings/finite_rings/finite_field_base.pyx

@@ -328,7 +328,7 @@ cdef class FiniteField(Field):
             sage: p = next_prime(2^64)
             sage: k.<a> = FiniteField(p^2, impl="pari")
             sage: it = iter(k); it
-            <generator object at ...>
+            <_cython_3_0_0.generator object at ...>
             sage: [next(it) for i in range(10)]
             [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
 

src/sage/rings/polynomial/skew_polynomial_finite_field.pyx

@@ -629,7 +629,7 @@ cdef class SkewPolynomial_finite_field_dense(SkewPolynomial_finite_order_dense):
             sage: S.<x> = k['x',Frob]
             sage: a = x^4 + 2*t*x^3 + 3*t^2*x^2 + (t^2 + t + 1)*x + 4*t + 3
             sage: iter = a.right_irreducible_divisors(); iter
-            <generator object at 0x...>
+            <_cython_3_0_0.generator object at 0x...>
             sage: next(iter)   # random
             x + 2*t^2 + 4*t + 4
             sage: next(iter)   # random
@@ -664,7 +664,7 @@ cdef class SkewPolynomial_finite_field_dense(SkewPolynomial_finite_order_dense):
             sage: S.<x> = k['x',Frob]
             sage: a = x^4 + 2*t*x^3 + 3*t^2*x^2 + (t^2 + t + 1)*x + 4*t + 3
             sage: iter = a.left_irreducible_divisors(); iter
-            <generator object at 0x...>
+            <_cython_3_0_0.generator object at 0x...>
             sage: next(iter)  # random
             x + 3*t + 3
             sage: next(iter)  # random
@@ -1052,7 +1052,7 @@ cdef class SkewPolynomial_finite_field_dense(SkewPolynomial_finite_order_dense):
             sage: S.<x> = k['x',Frob]
             sage: a = x^3 + (t^2 + 1)*x^2 + (2*t + 3)*x + t^2 + t + 2
             sage: iter = a.factorizations(); iter
-            <generator object at 0x...>
+            <_cython_3_0_0.generator object at 0x...>
             sage: next(iter)   # random
             (x + 3*t^2 + 4*t) * (x + 2*t^2) * (x + 4*t^2 + 4*t + 2)
             sage: next(iter)   # random