diff -up src/sage/graphs/strongly_regular_db.pyx.orig src/sage/graphs/strongly_regular_db.pyx --- src/sage/graphs/strongly_regular_db.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/graphs/strongly_regular_db.pyx 2023-01-15 16:25:07.239217420 -0700 @@ -2424,7 +2424,7 @@ def strongly_regular_from_two_intersecti A set of points in the projective geometry `PG(k,q)` is said to be a 2-intersection set if it intersects every hyperplane in either `h_1` or - `h_2` points, where `h_1,h_2\in \\NN`. + `h_2` points, where `h_1,h_2\in \NN`. From a 2-intersection set `S` can be defined a strongly-regular graph in the following way: diff -up src/sage/groups/group.pyx.orig src/sage/groups/group.pyx --- src/sage/groups/group.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/groups/group.pyx 2023-01-15 16:25:07.239217420 -0700 @@ -51,7 +51,7 @@ def is_Group(x): cdef class Group(Parent): - """ + r""" Base class for all groups TESTS:: diff -up src/sage/groups/perm_gps/partn_ref/refinement_binary.pyx.orig src/sage/groups/perm_gps/partn_ref/refinement_binary.pyx --- src/sage/groups/perm_gps/partn_ref/refinement_binary.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/groups/perm_gps/partn_ref/refinement_binary.pyx 2023-01-15 16:25:08.856187835 -0700 @@ -105,7 +105,7 @@ cdef class LinearBinaryCodeStruct(Binary self.ith_word = &ith_word_linear def run(self, partition=None): - """ + r""" Perform the canonical labeling and automorphism group computation, storing results to self. diff -up src/sage/libs/eclib/newforms.pyx.orig src/sage/libs/eclib/newforms.pyx --- src/sage/libs/eclib/newforms.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/eclib/newforms.pyx 2023-01-15 16:25:10.727153601 -0700 @@ -22,7 +22,7 @@ from sage.modular.all import Cusp cdef class ECModularSymbol: - """ + r""" Modular symbol associated with an elliptic curve, using John Cremona's newforms class. EXAMPLES:: diff -up src/sage/libs/fes.pyx.orig src/sage/libs/fes.pyx --- src/sage/libs/fes.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/fes.pyx 2023-01-15 16:25:10.727153601 -0700 @@ -292,7 +292,7 @@ def find_coordinate_change(As, max_tries def prepare_polynomials(f): - """ + r""" Finds a linear combination of the equations that is faster to solve by FES INPUT: diff -up src/sage/libs/ntl/ntl_GF2E.pyx.orig src/sage/libs/ntl/ntl_GF2E.pyx --- src/sage/libs/ntl/ntl_GF2E.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_GF2E.pyx 2023-01-15 16:25:10.727153601 -0700 @@ -73,7 +73,7 @@ def ntl_GF2E_random(ntl_GF2EContext_clas cdef class ntl_GF2E(): r""" - The \\class{GF2E} represents a finite extension field over GF(2) + The \class{GF2E} represents a finite extension field over GF(2) using NTL. Elements are represented as polynomials over GF(2) modulo a modulus. @@ -439,7 +439,7 @@ cdef class ntl_GF2E(): return l def _sage_(ntl_GF2E self, k=None): - """ + r""" Returns a \class{FiniteFieldElement} representation of this element. If a \class{FiniteField} k is provided it is constructed in this field if possible. A \class{FiniteField} diff -up src/sage/libs/ntl/ntl_mat_GF2E.pyx.orig src/sage/libs/ntl/ntl_mat_GF2E.pyx --- src/sage/libs/ntl/ntl_mat_GF2E.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_mat_GF2E.pyx 2023-01-15 16:25:10.728153583 -0700 @@ -181,7 +181,7 @@ cdef class ntl_mat_GF2E(): return unpickle_class_args, (ntl_mat_GF2E, (self.modulus_context(), self.x.NumRows(), self.x.NumCols(), self.list())) def __repr__(self): - """ + r""" Return the string representation of self. EXAMPLES:: @@ -446,7 +446,7 @@ cdef class ntl_mat_GF2E(): return r def gauss(self,ncols=-1): - """ + r""" Performs unitary row operations so as to bring this matrix into row echelon form. If the optional argument \code{ncols} is supplied, stops when first ncols columns are in echelon diff -up src/sage/libs/ntl/ntl_mat_GF2.pyx.orig src/sage/libs/ntl/ntl_mat_GF2.pyx --- src/sage/libs/ntl/ntl_mat_GF2.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_mat_GF2.pyx 2023-01-15 16:33:39.175760142 -0700 @@ -5,7 +5,7 @@ # distutils: extra_link_args = NTL_LIBEXTRA # distutils: language = c++ -""" +r""" Matrices over the `\GF{2}` via NTL This class is only provided to have a complete NTL interface and for @@ -376,7 +376,7 @@ cdef class ntl_mat_GF2(): return r def gauss(self,ncols=-1): - """ + r""" Performs unitary row operations so as to bring this matrix into row echelon form (not reduced!). If the optional argument \code{ncols} is supplied, stops when first ncols diff -up src/sage/libs/ntl/ntl_mat_ZZ.pyx.orig src/sage/libs/ntl/ntl_mat_ZZ.pyx --- src/sage/libs/ntl/ntl_mat_ZZ.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_mat_ZZ.pyx 2023-01-15 16:25:10.728153583 -0700 @@ -129,7 +129,7 @@ cdef class ntl_mat_ZZ(): return unpickle_class_args, (ntl_mat_ZZ, (self.__nrows, self.__ncols, self.list())) def __repr__(self): - """ + r""" Return the string representation of self. EXAMPLES:: diff -up src/sage/libs/ntl/ntl_ZZ_pEX.pyx.orig src/sage/libs/ntl/ntl_ZZ_pEX.pyx --- src/sage/libs/ntl/ntl_ZZ_pEX.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_ZZ_pEX.pyx 2023-01-15 17:03:36.337323674 -0700 @@ -5,7 +5,7 @@ # distutils: extra_link_args = NTL_LIBEXTRA # distutils: language = c++ -""" +r""" Wrapper for NTL's polynomials over finite ring extensions of `\Z / p\Z.` AUTHORS: diff -up src/sage/libs/ntl/ntl_ZZX.pyx.orig src/sage/libs/ntl/ntl_ZZX.pyx --- src/sage/libs/ntl/ntl_ZZX.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/ntl/ntl_ZZX.pyx 2023-01-15 16:25:10.729153564 -0700 @@ -692,7 +692,7 @@ cdef class ntl_ZZX(): return (self*other).quo_rem(g)[0] def xgcd(self, ntl_ZZX other, proof=None): - """ + r""" If self and other are coprime over the rationals, return r, s, t such that r = s*self + t*other. Otherwise return 0. This is \emph{not} the same as the \sage function on polynomials diff -up src/sage/libs/singular/polynomial.pyx.orig src/sage/libs/singular/polynomial.pyx --- src/sage/libs/singular/polynomial.pyx.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/singular/polynomial.pyx 2023-01-15 16:25:10.729153564 -0700 @@ -22,7 +22,7 @@ cdef extern from *: # hack to get at cyt int unlikely(int) import re -plusminus_pattern = re.compile("([^\(^])([\+\-])") +plusminus_pattern = re.compile(r"([^\(^])([\+\-])") parenthvar_pattern = re.compile(r"\(([a-zA-Z][a-zA-Z0-9]*)\)") from sage.cpython.string cimport bytes_to_str, str_to_bytes diff -up src/sage/libs/symmetrica/sc.pxi.orig src/sage/libs/symmetrica/sc.pxi --- src/sage/libs/symmetrica/sc.pxi.orig 2022-09-19 16:38:18.000000000 -0600 +++ src/sage/libs/symmetrica/sc.pxi 2023-01-15 16:25:10.729153564 -0700 @@ -103,7 +103,7 @@ def charvalue_symmetrica(irred, cls, tab def kranztafel_symmetrica(a, b): - """ + r""" you enter the INTEGER objects, say a and b, and res becomes a MATRIX object, the charactertable of S_b \wr S_a, co becomes a VECTOR object of classorders and cl becomes a VECTOR object of diff -up src/sage/matrix/matrix_integer_dense.pyx.orig src/sage/matrix/matrix_integer_dense.pyx --- src/sage/matrix/matrix_integer_dense.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/matrix/matrix_integer_dense.pyx 2023-01-15 16:25:13.768097961 -0700 @@ -757,7 +757,7 @@ cdef class Matrix_integer_dense(Matrix_d return ans def _multiply_classical(self, Matrix_integer_dense right): - """ + r""" EXAMPLES:: sage: n = 3 diff -up src/sage/matrix/matrix_modn_dense_template.pxi.orig src/sage/matrix/matrix_modn_dense_template.pxi --- src/sage/matrix/matrix_modn_dense_template.pxi.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/matrix/matrix_modn_dense_template.pxi 2023-01-15 16:25:13.768097961 -0700 @@ -649,7 +649,7 @@ cdef class Matrix_modn_dense_template(Ma return (word_size, little_endian, s), 10 def _unpickle(self, data, int version): - """ + r""" TESTS: Test for char-sized modulus:: @@ -2261,7 +2261,7 @@ cdef class Matrix_modn_dense_template(Ma return Matrix_dense.determinant(self) cdef xgcd_eliminate(self, celement * row1, celement* row2, Py_ssize_t start_col): - """ + r""" Reduces ``row1`` and ``row2`` by a unimodular transformation using the xgcd relation between their first coefficients ``a`` and ``b``. diff -up src/sage/matroids/basis_exchange_matroid.pyx.orig src/sage/matroids/basis_exchange_matroid.pyx --- src/sage/matroids/basis_exchange_matroid.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/matroids/basis_exchange_matroid.pyx 2023-01-15 16:25:13.770097924 -0700 @@ -2115,7 +2115,7 @@ cdef class BasisExchangeMatroid(Matroid) return EQ[0] cpdef _is_isomorphism(self, other, morphism): - """ + r""" Version of is_isomorphism() that does no type checking. INPUT: diff -up src/sage/matroids/linear_matroid.pyx.orig src/sage/matroids/linear_matroid.pyx --- src/sage/matroids/linear_matroid.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/matroids/linear_matroid.pyx 2023-01-15 16:25:13.771097906 -0700 @@ -800,7 +800,7 @@ cdef class LinearMatroid(BasisExchangeMa # (field) isomorphism cpdef bint _is_field_isomorphism(self, LinearMatroid other, morphism): # not safe if self == other - """ + r""" Version of :meth:`` that does no type checking. @@ -966,7 +966,7 @@ cdef class LinearMatroid(BasisExchangeMa return self._is_field_isomorphism(other, morphism) cpdef is_field_isomorphism(self, other, morphism): - """ + r""" Test if a provided morphism induces a bijection between represented matroids. diff -up src/sage/matroids/matroid.pyx.orig src/sage/matroids/matroid.pyx --- src/sage/matroids/matroid.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/matroids/matroid.pyx 2023-01-15 16:25:13.772097888 -0700 @@ -3150,7 +3150,7 @@ cdef class Matroid(SageObject): return Polyhedron(vertices) def independence_matroid_polytope(self): - """ + r""" Return the independence matroid polytope of ``self``. This is defined as the convex hull of the vertices @@ -3430,7 +3430,7 @@ cdef class Matroid(SageObject): return self._is_isomorphism(other, morphism) cpdef is_isomorphism(self, other, morphism): - """ + r""" Test if a provided morphism induces a matroid isomorphism. A *morphism* is a map from the groundset of ``self`` to the groundset @@ -3553,7 +3553,7 @@ cdef class Matroid(SageObject): return self._is_isomorphism(other, mf) cpdef _is_isomorphism(self, other, morphism): - """ + r""" Version of is_isomorphism() that does no type checking. INPUT: @@ -4313,7 +4313,7 @@ cdef class Matroid(SageObject): return self.dual().extension(element, subsets).dual() cpdef modular_cut(self, subsets): - """ + r""" Compute the modular cut generated by ``subsets``. A *modular cut* is a collection `C` of flats such that @@ -4714,7 +4714,7 @@ cdef class Matroid(SageObject): return True cpdef is_cosimple(self): - """ + r""" Test if the matroid is cosimple. A matroid is *cosimple* if it contains no cocircuits of length 1 or 2. @@ -7480,7 +7480,7 @@ cdef class Matroid(SageObject): return A cpdef tutte_polynomial(self, x=None, y=None): - """ + r""" Return the Tutte polynomial of the matroid. The *Tutte polynomial* of a matroid is the polynomial diff -up src/sage/misc/cachefunc.pyx.orig src/sage/misc/cachefunc.pyx --- src/sage/misc/cachefunc.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/misc/cachefunc.pyx 2023-01-15 16:25:13.772097888 -0700 @@ -834,7 +834,7 @@ cdef class CachedFunction(): ## forward other questions to the cached function. def _instancedoc_(self): - """ + r""" Provide documentation for the cached function. A cached function shall inherit the documentation diff -up src/sage/misc/sageinspect.py.orig src/sage/misc/sageinspect.py --- src/sage/misc/sageinspect.py.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/misc/sageinspect.py 2023-01-15 16:40:43.609846146 -0700 @@ -948,7 +948,7 @@ def _grep_first_pair_of_parentheses(s): def _split_syntactical_unit(s): - """ + r""" Split off a sub-expression from the start of a given string. INPUT: diff -up src/sage/modules/free_module_element.pyx.orig src/sage/modules/free_module_element.pyx --- src/sage/modules/free_module_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/modules/free_module_element.pyx 2023-01-15 16:25:19.760988310 -0700 @@ -3743,7 +3743,7 @@ cdef class FreeModuleElement(Vector): from sage.misc.latex import latex vector_delimiters = latex.vector_delimiters() s = '\\left' + vector_delimiters[0] - s += ',\,'.join(latex(a) for a in self.list()) + s += ',\\,'.join(latex(a) for a in self.list()) return s + '\\right' + vector_delimiters[1] def dense_vector(self): diff -up src/sage/numerical/backends/generic_backend.pyx.orig src/sage/numerical/backends/generic_backend.pyx --- src/sage/numerical/backends/generic_backend.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/numerical/backends/generic_backend.pyx 2023-01-15 16:25:19.761988291 -0700 @@ -1384,7 +1384,7 @@ cdef class GenericBackend: raise NotImplementedError() cpdef bint is_variable_basic(self, int index): - """ + r""" Test whether the given variable is basic. This assumes that the problem has been solved with the simplex method @@ -1414,7 +1414,7 @@ cdef class GenericBackend: raise NotImplementedError() cpdef bint is_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the given variable is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method @@ -1444,7 +1444,7 @@ cdef class GenericBackend: raise NotImplementedError() cpdef bint is_slack_variable_basic(self, int index): - """ + r""" Test whether the slack variable of the given row is basic. This assumes that the problem has been solved with the simplex method @@ -1474,7 +1474,7 @@ cdef class GenericBackend: raise NotImplementedError() cpdef bint is_slack_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the given variable is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method diff -up src/sage/numerical/backends/glpk_backend.pyx.orig src/sage/numerical/backends/glpk_backend.pyx --- src/sage/numerical/backends/glpk_backend.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/numerical/backends/glpk_backend.pyx 2023-01-15 16:25:19.762988273 -0700 @@ -2316,7 +2316,7 @@ cdef class GLPKBackend(GenericBackend): raise ValueError("This parameter is not available.") cpdef bint is_variable_basic(self, int index): - """ + r""" Test whether the given variable is basic. This assumes that the problem has been solved with the simplex method @@ -2347,7 +2347,7 @@ cdef class GLPKBackend(GenericBackend): return self.get_col_stat(index) == GLP_BS cpdef bint is_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the given variable is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method and a basis is available. Otherwise an exception will be raised. @@ -2377,7 +2377,7 @@ cdef class GLPKBackend(GenericBackend): return self.get_col_stat(index) == GLP_NL cpdef bint is_slack_variable_basic(self, int index): - """ + r""" Test whether the slack variable of the given row is basic. This assumes that the problem has been solved with the simplex method @@ -2408,7 +2408,7 @@ cdef class GLPKBackend(GenericBackend): return self.get_row_stat(index) == GLP_BS cpdef bint is_slack_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the slack variable of the given row is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method diff -up src/sage/numerical/backends/interactivelp_backend.pyx.orig src/sage/numerical/backends/interactivelp_backend.pyx --- src/sage/numerical/backends/interactivelp_backend.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/numerical/backends/interactivelp_backend.pyx 2023-01-15 16:25:19.763988255 -0700 @@ -1065,7 +1065,7 @@ cdef class InteractiveLPBackend: problem_type, ring, objective_constant_term=d) cpdef bint is_variable_basic(self, int index): - """ + r""" Test whether the given variable is basic. This assumes that the problem has been solved with the simplex method @@ -1095,7 +1095,7 @@ cdef class InteractiveLPBackend: return self.lp_std_form.decision_variables()[index] in self.final_dictionary.basic_variables() cpdef bint is_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the given variable is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method @@ -1125,7 +1125,7 @@ cdef class InteractiveLPBackend: return self.lp_std_form.decision_variables()[index] in self.final_dictionary.nonbasic_variables() cpdef bint is_slack_variable_basic(self, int index): - """ + r""" Test whether the slack variable of the given row is basic. This assumes that the problem has been solved with the simplex method @@ -1155,7 +1155,7 @@ cdef class InteractiveLPBackend: return self.lp_std_form.slack_variables()[index] in self.final_dictionary.basic_variables() cpdef bint is_slack_variable_nonbasic_at_lower_bound(self, int index): - """ + r""" Test whether the given variable is nonbasic at lower bound. This assumes that the problem has been solved with the simplex method @@ -1187,7 +1187,7 @@ cdef class InteractiveLPBackend: cpdef dictionary(self): # Proposed addition to the general interface, # which would for other solvers return backend dictionaries (#18804) - """ + r""" Return a dictionary representing the current basis. EXAMPLES:: @@ -1222,7 +1222,7 @@ cdef class InteractiveLPBackend: cpdef interactive_lp_problem(self): - """ + r""" Return the :class:`InteractiveLPProblem` object associated with this backend. EXAMPLES:: diff -up src/sage/rings/complex_interval.pyx.orig src/sage/rings/complex_interval.pyx --- src/sage/rings/complex_interval.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/complex_interval.pyx 2023-01-15 16:44:08.256030310 -0700 @@ -1114,7 +1114,7 @@ cdef class ComplexIntervalFieldElement(s return x def __invert__(self): - """ + r""" Return the multiplicative inverse of ``self``. EXAMPLES:: diff -up src/sage/rings/complex_mpc.pyx.orig src/sage/rings/complex_mpc.pyx --- src/sage/rings/complex_mpc.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/complex_mpc.pyx 2023-01-15 16:25:22.175944120 -0700 @@ -137,15 +137,15 @@ cdef inline mpfr_rnd_t rnd_im(mpc_rnd_t sign = '[+-]' digit_ten = '[0123456789]' exponent_ten = '[e@]' + sign + '?[0123456789]+' -number_ten = 'inf(?:inity)?|@inf@|nan(?:\([0-9A-Z_]*\))?|@nan@(?:\([0-9A-Z_]*\))?'\ - '|(?:' + digit_ten + '*\.' + digit_ten + '+|' + digit_ten + '+\.?)(?:' + exponent_ten + ')?' -imaginary_ten = 'i(?:\s*\*\s*(?:' + number_ten + '))?|(?:' + number_ten + ')\s*\*\s*i' -complex_ten = '(?P(?P' + sign + ')?\s*(?P' + imaginary_ten + ')' \ - '(\s*(?P' + sign + ')\s*(?P' + number_ten + '))?)' \ +number_ten = r'inf(?:inity)?|@inf@|nan(?:\([0-9A-Z_]*\))?|@nan@(?:\([0-9A-Z_]*\))?'\ + '|(?:' + digit_ten + r'*\.' + digit_ten + '+|' + digit_ten + r'+\.?)(?:' + exponent_ten + ')?' +imaginary_ten = r'i(?:\s*\*\s*(?:' + number_ten + '))?|(?:' + number_ten + r')\s*\*\s*i' +complex_ten = '(?P(?P' + sign + r')?\s*(?P' + imaginary_ten + ')' \ + r'(\s*(?P' + sign + r')\s*(?P' + number_ten + '))?)' \ '|' \ - '(?P(?P' + sign + ')?\s*(?P' + number_ten + ')' \ - '(\s*(?P' + sign + ')\s*(?P' + imaginary_ten + '))?)' -re_complex_ten = re.compile('^\s*(?:' + complex_ten + ')\s*$', re.I) + '(?P(?P' + sign + r')?\s*(?P' + number_ten + ')' \ + r'(\s*(?P' + sign + r')\s*(?P' + imaginary_ten + '))?)' +re_complex_ten = re.compile(r'^\s*(?:' + complex_ten + r')\s*$', re.I) cpdef inline split_complex_string(string, int base=10): """ @@ -185,17 +185,17 @@ cpdef inline split_complex_string(string # Warning: number, imaginary, and complex should be enclosed in parentheses # when used as regexp because of alternatives '|' - number = '@nan@(?:\([0-9A-Z_]*\))?|@inf@|(?:' + digit + '*\.' + digit + '+|' + digit + '+\.?)(?:' + exponent + ')?' + number = r'@nan@(?:\([0-9A-Z_]*\))?|@inf@|(?:' + digit + r'*\.' + digit + '+|' + digit + r'+\.?)(?:' + exponent + ')?' if base <= 10: - number = 'nan(?:\([0-9A-Z_]*\))?|inf(?:inity)?|' + number - imaginary = 'i(?:\s*\*\s*(?:' + number + '))?|(?:' + number + ')\s*\*\s*i' - complex = '(?P(?P' + sign + ')?\s*(?P' + imaginary + ')' \ - '(\s*(?P' + sign + ')\s*(?P' + number + '))?)' \ + number = r'nan(?:\([0-9A-Z_]*\))?|inf(?:inity)?|' + number + imaginary = r'i(?:\s*\*\s*(?:' + number + '))?|(?:' + number + r')\s*\*\s*i' + complex = '(?P(?P' + sign + r')?\s*(?P' + imaginary + ')' \ + r'(\s*(?P' + sign + r')\s*(?P' + number + '))?)' \ '|' \ - '(?P(?P' + sign + ')?\s*(?P' + number + ')' \ - '(\s*(?P' + sign + ')\s*(?P' + imaginary + '))?)' + '(?P(?P' + sign + r')?\s*(?P' + number + ')' \ + r'(\s*(?P' + sign + r')\s*(?P' + imaginary + '))?)' - z = re.match('^\s*(?:' + complex + ')\s*$', string, re.I) + z = re.match(r'^\s*(?:' + complex + r')\s*$', string, re.I) x, y = None, None if z is not None: @@ -207,18 +207,18 @@ cpdef inline split_complex_string(string return None if z.group(prefix + '_re_abs') is not None: - x = z.expand('\g<' + prefix + '_re_abs>') + x = z.expand(r'\g<' + prefix + '_re_abs>') if z.group(prefix + '_re_sign') is not None: - x = z.expand('\g<' + prefix + '_re_sign>') + x + x = z.expand(r'\g<' + prefix + '_re_sign>') + x if z.group(prefix + '_im_abs') is not None: - y = re.search('(?P' + number + ')', z.expand('\g<' + prefix + '_im_abs>'), re.I) + y = re.search('(?P' + number + ')', z.expand(r'\g<' + prefix + '_im_abs>'), re.I) if y is None: y = '1' else: - y = y.expand('\g') + y = y.expand(r'\g') if z.group(prefix + '_im_sign') is not None: - y = z.expand('\g<' + prefix + '_im_sign>') + y + y = z.expand(r'\g<' + prefix + '_im_sign>') + y return x, y @@ -1701,7 +1701,7 @@ cdef class MPComplexNumber(sage.structur return z def cosh(self): - """ + r""" Return the hyperbolic cosine of this complex number: .. MATH:: @@ -1721,7 +1721,7 @@ cdef class MPComplexNumber(sage.structur return z def sinh(self): - """ + r""" Return the hyperbolic sine of this complex number: .. MATH:: @@ -2063,7 +2063,7 @@ cdef class MPComplexNumber(sage.structur return z def exp(self): - """ + r""" Return the exponential of this complex number: .. MATH:: diff -up src/sage/rings/finite_rings/hom_finite_field.pyx.orig src/sage/rings/finite_rings/hom_finite_field.pyx --- src/sage/rings/finite_rings/hom_finite_field.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/finite_rings/hom_finite_field.pyx 2023-01-15 16:25:22.175944120 -0700 @@ -147,7 +147,7 @@ cdef class SectionFiniteFieldHomomorphis def _repr_(self): - """ + r""" Return a string representation of this section. EXAMPLES:: diff -up src/sage/rings/finite_rings/integer_mod.pyx.orig src/sage/rings/finite_rings/integer_mod.pyx --- src/sage/rings/finite_rings/integer_mod.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/finite_rings/integer_mod.pyx 2023-01-15 16:25:22.176944101 -0700 @@ -2245,7 +2245,7 @@ cdef class IntegerMod_gmp(IntegerMod_abs return int(self.lift()) def __pow__(IntegerMod_gmp self, exp, m): # NOTE: m ignored, always use modulus of parent ring - """ + r""" EXAMPLES:: sage: R = Integers(10^10) @@ -3544,7 +3544,7 @@ cdef class IntegerMod_int64(IntegerMod_a return self._new_c(self.ivalue >> (-k)) def __pow__(IntegerMod_int64 self, exp, m): # NOTE: m ignored, always use modulus of parent ring - """ + r""" EXAMPLES:: sage: R = Integers(10) diff -up src/sage/rings/number_field/number_field_element.pyx.orig src/sage/rings/number_field/number_field_element.pyx --- src/sage/rings/number_field/number_field_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/number_field/number_field_element.pyx 2023-01-15 16:25:22.176944101 -0700 @@ -493,7 +493,7 @@ cdef class NumberFieldElement(FieldEleme return codomain(f(im_gens[0])) def _latex_(self): - """ + r""" Returns the latex representation for this element. EXAMPLES:: diff -up src/sage/rings/number_field/number_field_morphisms.pyx.orig src/sage/rings/number_field/number_field_morphisms.pyx --- src/sage/rings/number_field/number_field_morphisms.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/number_field/number_field_morphisms.pyx 2023-01-15 16:25:22.176944101 -0700 @@ -340,7 +340,7 @@ cdef class EmbeddedNumberFieldConversion cpdef matching_root(poly, target, ambient_field=None, margin=1, max_prec=None): - """ + r""" Given a polynomial and a target, this function chooses the root that target best approximates as compared in ambient_field. @@ -403,7 +403,7 @@ cpdef matching_root(poly, target, ambien cpdef closest(target, values, margin=1): - """ + r""" This is a utility function that returns the item in values closest to target (with respect to the \code{abs} function). If margin is greater than 1, and x and y are the first and second closest elements to target, diff -up src/sage/rings/padics/local_generic_element.pyx.orig src/sage/rings/padics/local_generic_element.pyx --- src/sage/rings/padics/local_generic_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/padics/local_generic_element.pyx 2023-01-15 16:25:22.177944083 -0700 @@ -408,7 +408,7 @@ cdef class LocalGenericElement(Commutati return ans def _latex_(self): - """ + r""" Returns a latex representation of self. EXAMPLES:: diff -up src/sage/rings/padics/padic_capped_absolute_element.pyx.orig src/sage/rings/padics/padic_capped_absolute_element.pyx --- src/sage/rings/padics/padic_capped_absolute_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/padics/padic_capped_absolute_element.pyx 2023-01-15 16:25:22.177944083 -0700 @@ -383,7 +383,7 @@ cdef class pAdicCappedAbsoluteElement(CA return ans def _exp_binary_splitting(self, aprec): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. @@ -443,7 +443,7 @@ cdef class pAdicCappedAbsoluteElement(CA return ans def _exp_newton(self, aprec, log_algorithm=None): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. diff -up src/sage/rings/padics/padic_fixed_mod_element.pyx.orig src/sage/rings/padics/padic_fixed_mod_element.pyx --- src/sage/rings/padics/padic_fixed_mod_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/padics/padic_fixed_mod_element.pyx 2023-01-15 16:25:22.177944083 -0700 @@ -449,7 +449,7 @@ cdef class pAdicFixedModElement(FMElemen return ans def _exp_binary_splitting(self, aprec): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. @@ -508,7 +508,7 @@ cdef class pAdicFixedModElement(FMElemen return ans def _exp_newton(self, aprec, log_algorithm=None): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. diff -up src/sage/rings/padics/padic_generic_element.pyx.orig src/sage/rings/padics/padic_generic_element.pyx --- src/sage/rings/padics/padic_generic_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/padics/padic_generic_element.pyx 2023-01-15 16:25:22.178944065 -0700 @@ -544,7 +544,7 @@ cdef class pAdicGenericElement(LocalGene return self._repr_(mode=mode) def _repr_(self, mode=None, do_latex=False): - """ + r""" Returns a string representation of this element. INPUT: @@ -3028,7 +3028,7 @@ cdef class pAdicGenericElement(LocalGene return series_unit*nfactorial_unit.inverse_of_unit()<<(series_val-nfactorial_val) def _exp_binary_splitting(self, aprec): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. @@ -3074,7 +3074,7 @@ cdef class pAdicGenericElement(LocalGene raise NotImplementedError("the binary splitting algorithm is not implemented for the parent: %s" % self.parent()) def _exp_newton(self, aprec, log_algorithm=None): - """ + r""" Compute the exponential power series of this element This is a helper method for :meth:`exp`. diff -up src/sage/rings/polynomial/multi_polynomial_libsingular.pyx.orig src/sage/rings/polynomial/multi_polynomial_libsingular.pyx --- src/sage/rings/polynomial/multi_polynomial_libsingular.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/polynomial/multi_polynomial_libsingular.pyx 2023-01-15 16:25:22.179944047 -0700 @@ -2485,7 +2485,7 @@ cdef class MPolynomial_libsingular(MPoly return char_to_str(s) def _latex_(self): - """ + r""" Return a polynomial LaTeX representation of this polynomial. EXAMPLES:: diff -up src/sage/rings/polynomial/ore_polynomial_element.pyx.orig src/sage/rings/polynomial/ore_polynomial_element.pyx --- src/sage/rings/polynomial/ore_polynomial_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/polynomial/ore_polynomial_element.pyx 2023-01-15 16:25:22.179944047 -0700 @@ -1707,8 +1707,8 @@ cdef class OrePolynomial(AlgebraElement) var = "" s += "%s %s"%(x,var) s = s.replace(" + -", " - ") - s = re.sub(" 1(\.0+)? \|"," ", s) - s = re.sub(" -1(\.0+)? \|", " -", s) + s = re.sub(r" 1(\.0+)? \|"," ", s) + s = re.sub(r" -1(\.0+)? \|", " -", s) s = s.replace("|","") if s == " ": return "0" diff -up src/sage/rings/polynomial/polynomial_element.pyx.orig src/sage/rings/polynomial/polynomial_element.pyx --- src/sage/rings/polynomial/polynomial_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/polynomial/polynomial_element.pyx 2023-01-15 16:25:22.181944010 -0700 @@ -2744,8 +2744,8 @@ cdef class Polynomial(CommutativeAlgebra var = "" s += "%s %s" % (x, var) s = s.replace(" + -", " - ") - s = re.sub(" 1(\.0+)? \|"," ", s) - s = re.sub(" -1(\.0+)? \|", " -", s) + s = re.sub(r" 1(\.0+)? \|"," ", s) + s = re.sub(r" -1(\.0+)? \|", " -", s) s = s.replace("|","") if s == " ": return "0" @@ -2845,7 +2845,7 @@ cdef class Polynomial(CommutativeAlgebra raise IndexError("polynomials are immutable") cpdef _floordiv_(self, right): - """ + r""" Quotient of division of self by other. This is denoted //. If self = quotient \* right + remainder, this function returns @@ -6825,8 +6825,8 @@ cdef class Polynomial(CommutativeAlgebra where the roots `a` and `b` are to be considered in the algebraic closure of the fraction field of the coefficients and counted with multiplicities. If the polynomials are not monic this quantity is - multiplied by `\\alpha_1^{deg(p_2)} \\alpha_2^{deg(p_1)}` where - `\\alpha_1` and `\\alpha_2` are the leading coefficients of `p_1` and + multiplied by `\alpha_1^{deg(p_2)} \alpha_2^{deg(p_1)}` where + `\alpha_1` and `\alpha_2` are the leading coefficients of `p_1` and `p_2` respectively. INPUT: diff -up src/sage/rings/polynomial/polynomial_integer_dense_flint.pyx.orig src/sage/rings/polynomial/polynomial_integer_dense_flint.pyx --- src/sage/rings/polynomial/polynomial_integer_dense_flint.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/polynomial/polynomial_integer_dense_flint.pyx 2023-01-15 16:25:22.181944010 -0700 @@ -1394,7 +1394,7 @@ cdef class Polynomial_integer_dense_flin return smallInteger(fmpz_poly_degree(self.__poly)) def pseudo_divrem(self, B): - """ + r""" Write ``A = self``. This function computes polynomials `Q` and `R` and an integer `d` such that diff -up src/sage/rings/polynomial/real_roots.pyx.orig src/sage/rings/polynomial/real_roots.pyx --- src/sage/rings/polynomial/real_roots.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/polynomial/real_roots.pyx 2023-01-15 16:25:22.182943992 -0700 @@ -1259,7 +1259,7 @@ def de_casteljau_intvec(Vector_integer_d cdef double half_ulp = ldexp(1.0 * 65/64, -54) def intvec_to_doublevec(Vector_integer_dense b, long err): - """ + r""" Given a vector of integers A = [a1, ..., an], and an integer error bound E, returns a vector of floating-point numbers B = [b1, ..., bn], lower and upper error bounds F1 and F2, and @@ -2149,7 +2149,7 @@ def subsample_vec_doctest(a, slen, llen) return subsample_vec(a, slen, llen) def maximum_root_first_lambda(p): - """ + r""" Given a polynomial with real coefficients, computes an upper bound on its largest real root, using the first-\lambda algorithm from "Implementations of a New Theorem for Computing Bounds for Positive diff -up src/sage/rings/real_double_element_gsl.pyx.orig src/sage/rings/real_double_element_gsl.pyx --- src/sage/rings/real_double_element_gsl.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/real_double_element_gsl.pyx 2023-01-15 16:25:22.182943992 -0700 @@ -227,7 +227,7 @@ cdef class RealDoubleElement_gsl(RealDou return a def log(self, base=None): - """ + r""" Return the logarithm. INPUT: diff -up src/sage/rings/real_mpfi.pyx.orig src/sage/rings/real_mpfi.pyx --- src/sage/rings/real_mpfi.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/real_mpfi.pyx 2023-01-15 16:25:22.183943974 -0700 @@ -1309,7 +1309,7 @@ cdef class RealIntervalFieldElement(Ring return self.str(10) def _latex_(self): - """ + r""" Return a latex representation of ``self``. EXAMPLES:: diff -up src/sage/rings/semirings/tropical_semiring.pyx.orig src/sage/rings/semirings/tropical_semiring.pyx --- src/sage/rings/semirings/tropical_semiring.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/semirings/tropical_semiring.pyx 2023-01-15 16:25:22.183943974 -0700 @@ -99,7 +99,7 @@ cdef class TropicalSemiringElement(Eleme return repr(self._val) def _latex_(self): - """ + r""" Return a latex representation of ``self``. EXAMPLES:: diff -up src/sage/rings/tate_algebra_element.pyx.orig src/sage/rings/tate_algebra_element.pyx --- src/sage/rings/tate_algebra_element.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/rings/tate_algebra_element.pyx 2023-01-15 16:25:22.183943974 -0700 @@ -3448,7 +3448,7 @@ cdef class TateAlgebraElement(Commutativ @coerce_binop def Spoly(self, other): - """ + r""" Return the S-polynomial of this series and ``other``. INPUT: diff -up src/sage/symbolic/expression.pyx.orig src/sage/symbolic/expression.pyx --- src/sage/symbolic/expression.pyx.orig 2022-09-19 16:38:19.000000000 -0600 +++ src/sage/symbolic/expression.pyx 2023-01-15 16:25:22.185943937 -0700 @@ -7,7 +7,7 @@ # distutils: include_dirs = SINGULAR_INCDIR # pynac/basic.h includes # factory/factory.h so this ^ is needed to find it -""" +r""" Symbolic Expressions RELATIONAL EXPRESSIONS: