sage.{functions,interfaces,symbolic}: Consolidate imports from the same module

Author: Matthias Koeppe

src/sage/functions/hypergeometric.py

@@ -162,29 +162,28 @@
 #                  https://www.gnu.org/licenses/
 # ****************************************************************************
 
+from functools import reduce
+
+from sage.arith.misc import binomial, factorial, rising_factorial
+from sage.calculus.functional import derivative
+from sage.libs.mpmath import utils as mpmath_utils
+from sage.misc.latex import latex
+from sage.misc.misc_c import prod
+from sage.rings.infinity import Infinity
 from sage.rings.integer import Integer
 from sage.rings.integer_ring import ZZ
 from sage.rings.rational_field import QQ
-from sage.rings.infinity import Infinity
-from sage.arith.misc import binomial
-from sage.arith.misc import rising_factorial
-from sage.arith.misc import factorial
+from sage.structure.element import get_coercion_model
 from sage.symbolic.constants import pi
+from sage.symbolic.expression import Expression
 from sage.symbolic.function import BuiltinFunction
 from sage.symbolic.ring import SR
-from sage.structure.element import get_coercion_model
-from sage.misc.latex import latex
-from sage.misc.misc_c import prod
-from sage.libs.mpmath import utils as mpmath_utils
-from sage.symbolic.expression import Expression
-from sage.calculus.functional import derivative
-from functools import reduce
 
+from .error import erf
 from .gamma import gamma
-from .other import sqrt, real_part
-from .log import exp, log
 from .hyperbolic import cosh, sinh
-from .error import erf
+from .log import exp, log
+from .other import sqrt, real_part
 
 
 def rational_param_as_tuple(x):

src/sage/functions/piecewise.py

@@ -1089,9 +1089,9 @@ def laplace(self, parameters, variable, x='x', s='t'):
                 sage: f.laplace(t,s)
                 (s + 1)*e^(-s)/s^2 + 2*e^(-s)/s - 1/s^2
             """
-            from sage.symbolic.assumptions import assume
+            from sage.symbolic.assumptions import assume, forget
             from sage.functions.log import exp
-            from sage.symbolic.assumptions import forget
+
             x = SR.var(x)
             s = SR.var(s)
             assume(s>0)
@@ -1363,9 +1363,9 @@ def fourier_series_partial_sum(self, parameters, variable, N,
 
             """
             from sage.symbolic.constants import pi
-            from sage.functions.trig import sin
-            from sage.functions.trig import cos
+            from sage.functions.trig import cos, sin
             from sage.arith.srange import srange
+
             if not L:
                 L = (self.domain().sup() - self.domain().inf()) / 2
             x = self.default_variable()

src/sage/symbolic/pynac_impl.pxi

@@ -35,34 +35,26 @@ Pynac interface
 from cpython cimport *
 from libc cimport math
 
+from sage.arith.misc import bernoulli, factorial, GCD as gcd, is_prime
+from sage.arith.functions import lcm
+from sage.cpython.string cimport str_to_bytes, char_to_str
 from sage.ext.stdsage cimport PY_NEW
 from sage.libs.gmp.all cimport *
 from sage.libs.gsl.types cimport *
 from sage.libs.gsl.complex cimport *
 from sage.libs.gsl.gamma cimport gsl_sf_lngamma_complex_e
 from sage.libs.mpmath import utils as mpmath_utils
 from sage.libs.pari.all import pari
-
-from sage.cpython.string cimport str_to_bytes, char_to_str
-
-from sage.arith.misc import GCD as gcd
-from sage.arith.functions import lcm
-from sage.arith.misc import is_prime
-from sage.arith.misc import factorial
-from sage.arith.misc import bernoulli
-
-from sage.structure.coerce cimport coercion_model
-from sage.structure.element cimport Element, parent
 from sage.misc.persist import loads, dumps
-
 from sage.rings.integer_ring import ZZ
 from sage.rings.integer cimport Integer, smallInteger
 from sage.rings.rational cimport Rational
 from sage.rings.real_mpfr import RR, RealField
 from sage.rings.rational cimport rational_power_parts
 from sage.rings.real_double cimport RealDoubleElement
 from sage.rings.cc import CC
-
+from sage.structure.coerce cimport coercion_model
+from sage.structure.element cimport Element, parent
 from sage.symbolic.function cimport Function