sagemathgh-41018: Fix some typos in p-adic code
    
and a few other miscellaneous fix.


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### ⌛ Dependencies

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URL: sagemath#41018
Reported by: user202729
Reviewer(s):

Author: Release Manager

.gitignore

@@ -157,7 +157,7 @@ __pycache__/
 # C header generated by Cython
 /src/sage/modular/arithgroup/farey_symbol.h
 # List of C and C++ files that are actual source files,
-# NOT generated by Cython. The same list appears in src/MANIFEST.in
+# NOT generated by Cython
 !/src/sage/graphs/base/boost_interface.cpp
 !/src/sage/graphs/cliquer/cl.c
 !/src/sage/graphs/graph_decompositions/sage_tdlib.cpp
@@ -170,7 +170,7 @@ __pycache__/
 !/src/sage/rings/bernmm/bern_modp_util.cpp
 !/src/sage/rings/bernmm/bern_rat.cpp
 !/src/sage/rings/bernmm/bernmm-test.cpp
-!/src/sage/rings/padics/transcendantal.c
+!/src/sage/rings/padics/transcendental.c
 !/src/sage/rings/polynomial/weil/power_sums.c
 !/src/sage/schemes/hyperelliptic_curves/hypellfrob/hypellfrob.cpp
 !/src/sage/schemes/hyperelliptic_curves/hypellfrob/recurrences_ntl.cpp

src/sage/graphs/base/boost_interface.cpp

@@ -241,7 +241,7 @@ class BoostGraph
          try {
              boost::dijkstra_shortest_paths(graph, vertices[s], distance_map(boost::make_iterator_property_map(distances.begin(), index))
                                             .predecessor_map(boost::make_iterator_property_map(predecessors.begin(), index)));
-         } catch (boost::exception_detail::clone_impl<boost::exception_detail::error_info_injector<boost::negative_edge> > e) {
+         } catch (boost::exception_detail::clone_impl<boost::exception_detail::error_info_injector<boost::negative_edge> > const&) {
              return to_return;
          }
 

src/sage/rings/padics/padic_capped_absolute_element.pyx

@@ -25,7 +25,7 @@ include "CA_template.pxi"
 from sage.libs.pari.convert_gmp cimport new_gen_from_padic
 from sage.rings.finite_rings.integer_mod import Mod
 
-cdef extern from "transcendantal.c":
+cdef extern from "transcendental.c":
     cdef void padiclog(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp_Newton(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, unsigned long precinit, const mpz_t modulo)

src/sage/rings/padics/padic_capped_relative_element.pyx

@@ -29,7 +29,7 @@ from sage.libs.pari.convert_gmp cimport new_gen_from_padic
 from sage.rings.finite_rings.integer_mod import Mod
 from sage.rings.padics.pow_computer cimport PowComputer_class
 
-cdef extern from "transcendantal.c":
+cdef extern from "transcendental.c":
     cdef void padiclog(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp_Newton(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, unsigned long precinit, const mpz_t modulo)

src/sage/rings/padics/padic_fixed_mod_element.pyx

@@ -27,7 +27,7 @@ include "FM_template.pxi"
 from sage.libs.pari.convert_gmp cimport new_gen_from_padic
 from sage.rings.finite_rings.integer_mod import Mod
 
-cdef extern from "transcendantal.c":
+cdef extern from "transcendental.c":
     cdef void padiclog(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp_Newton(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, unsigned long precinit, const mpz_t modulo)

src/sage/rings/padics/padic_floating_point_element.pyx

@@ -25,7 +25,7 @@ from sage.libs.pari import pari
 from sage.libs.pari.convert_gmp cimport new_gen_from_padic
 from sage.rings.finite_rings.integer_mod import Mod
 
-cdef extern from "transcendantal.c":
+cdef extern from "transcendental.c":
     cdef void padicexp(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, const mpz_t modulo)
     cdef void padicexp_Newton(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, unsigned long precinit, const mpz_t modulo)
 

src/sage/rings/padics/transcendantal.c renamed to src/sage/rings/padics/transcendental.c

@@ -1,6 +1,6 @@
 /*
  *  C helper functions for the computation
- *  of p-adic transcendantal functions
+ *  of p-adic transcendental functions
  *
  *********************************************/
 
@@ -23,7 +23,7 @@ void padiclog(mpz_t ans, const mpz_t a, unsigned long p, unsigned long prec, con
          3. we compute each log(1 - a_i*p^(v*2^i)) using Taylor expansion
             and a binary splitting strategy.                                */
 
-    unsigned long i, v, e, N, saveN, Np, tmp, trunc, step;
+    unsigned long i, v, e, N, Np, tmp, trunc, step;
     double den = log(p);
     mpz_t f, arg, trunc_mod, h, hpow, mpz_tmp, mpz_tmp2, d, inv, mod2;
     mpz_t *num, *denom;

src/sage/rings/polynomial/polynomial_rational_flint.pyx

@@ -1502,10 +1502,7 @@ cdef class Polynomial_rational_flint(Polynomial):
             3
         """
         cdef Integer den = Integer.__new__(Integer)
-        if fmpq_poly_denref(self._poly) is NULL:
-            mpz_set_ui(den.value, 1)
-        else:
-            fmpz_get_mpz(den.value, <fmpz *> fmpq_poly_denref(self._poly))
+        fmpz_get_mpz(den.value, <fmpz *> fmpq_poly_denref(self._poly))
         return den
 
     def _derivative(self, var=None):