Replace imports from sage.all

cython/core/abelian_group.pyx

@@ -49,7 +49,8 @@ cdef class AbelianGroup():
                                  'as a sequence.')
         int_types = [int]
         if _within_sage:
-            int_types += [sage.rings.integer.Integer]
+            from sage.rings.integer import Integer
+            int_types += [Integer]
         for c in self.divisors:
             assert type(c) in int_types and c >= 0,\
                    'Elementary divisors must be non-negative integers.\n'

cython/core/basic.pyx

@@ -18,7 +18,6 @@ python_major_version = sys.version_info.major
 from .sage_helper import _within_sage, SageNotAvailable
 from .pari import pari as pari
 try:
-    import sage.all
     import sage.structure.sage_object
     from sage.groups.perm_gps.permgroup_element import is_PermutationGroupElement
     from sage.groups.perm_gps.permgroup import PermutationGroup

cython/core/fundamental_group.pyx

@@ -477,7 +477,8 @@ class FundamentalGroup(CFundamentalGroup):
 
 
 if _within_sage:
-    FundamentalGroup.__bases__ += (sage.structure.sage_object.SageObject,)
+    from sage.structure.sage_object import SageObject
+    FundamentalGroup.__bases__ += (SageObject,)
 
 
 # Holonomy Groups
@@ -594,4 +595,5 @@ class HolonomyGroup(CHolonomyGroup):
 
 
 if _within_sage:
-    HolonomyGroup.__bases__ += (sage.structure.sage_object.SageObject,)
+    from sage.structure.sage_object import SageObject
+    HolonomyGroup.__bases__ += (SageObject,)

dev/drilling/smoke_test.py

@@ -5,7 +5,7 @@
 from snappy.drilling import exceptions
 from snappy.drilling import perturb
 
-from sage.all import pi
+from sage.symbolic.constants import pi
 
 # perturb._tube_developing_radius = 1
 

dev/drilling/smoke_test2.py

@@ -5,7 +5,7 @@
 from snappy.drilling import exceptions
 from snappy.drilling import perturb
 
-from sage.all import pi
+from sage.symbolic.constants import pi
 
 # perturb._tube_developing_radius = 1
 

python/cusps/maximal_cusp_area_matrix.py

@@ -9,7 +9,7 @@
 from ..hyperboloid.distances import distance_r13_horoballs
 
 if _within_sage:
-    import sage.all
+    from ..sage_helper import Infinity
 
 def maximal_cusp_area_matrix(manifold, bits_prec, verified):
     """
@@ -63,7 +63,7 @@ def _diagonal_scale(mcomplex, i):
             return e ** 2
 
     if mcomplex.verified:
-        d = mcomplex.RF(sage.all.Infinity)
+        d = mcomplex.RF(Infinity)
     else:
         d = mcomplex.RF(1e20)
 
@@ -93,7 +93,7 @@ def _non_diagonal_scale(mcomplex, i, j):
             return e ** 2
 
     if mcomplex.verified:
-        d = mcomplex.RF(sage.all.Infinity)
+        d = mcomplex.RF(Infinity)
     else:
         d = mcomplex.RF(1e20)
 

python/database.py

@@ -22,17 +22,17 @@
 import collections
 
 if _within_sage:
-    import sage.all
+    from .sage_helper import Integer, RealDoubleElement, RealNumber
 
     def is_int(slice):
-        return isinstance(slice, (sage.all.Integer, int))
+        return isinstance(slice, (Integer, int))
 
     def is_int_or_none(slice):
-        return isinstance(slice, (sage.all.Integer, int, type(None)))
+        return isinstance(slice, (Integer, int, type(None)))
 
     def is_float_or_none(slice):
-        return isinstance(slice, (float, sage.all.RealDoubleElement,
-                                  sage.rings.real_mpfr.RealNumber, type(None)))
+        return isinstance(slice, (float, RealDoubleElement,
+                                  RealNumber, type(None)))
 else:
     def is_int(slice):
         return isinstance(slice, int)

python/exterior_to_link/rational_linear_algebra.py

@@ -17,7 +17,11 @@
 from .. import sage_helper
 
 if sage_helper._within_sage and not use_pari_even_inside_sage:
-    from sage.all import QQ, RR, vector, matrix, VectorSpace
+    from sage.rings.rational_field import Q as QQ
+    from sage.rings.real_mpfr import RR
+    from sage.modules.free_module_element import free_module_element as vector
+    from sage.matrix.constructor import Matrix as matrix
+    from sage.modules.free_module import VectorSpace
 
     def rational_sqrt(x):
         """

python/exterior_to_link/rational_linear_algebra_wrapped.py

@@ -16,7 +16,10 @@
 This file is not currently used by SnapPy, but is kept for possible
 future reference.
 """
-from sage.all import QQ, vector, matrix, VectorSpace
+from sage.rings.rational_field import Q as QQ
+from sage.modules.free_module_element import free_module_element as vector
+from sage.matrix.constructor import Matrix as matrix
+from sage.modules.free_module import VectorSpace
 
 
 class Vector:

python/geometric_structure/cusp_neighborhood/complex_cusp_cross_section.py

@@ -384,7 +384,9 @@ def _add_one_cusp_vertex_positions(self, cusp : t3m.Vertex):
                     visited.add((tet1.Index, vert1))
 
     def _debug_show_horotriangles(self, cusp : int =0):
-        from sage.all import line, real, imag
+        from sage.plot.line import line
+        from sage.functions.other import real
+        from sage.functions.other import imag
 
         self.add_vertex_positions_to_horotriangles()
 
@@ -398,7 +400,9 @@ def _debug_show_horotriangles(self, cusp : int =0):
               if tet.Class[V].Index == cusp ])
 
     def _debug_show_lifted_horotriangles(self, cusp : int =0):
-        from sage.all import line, real, imag
+        from sage.plot.line import line
+        from sage.functions.other import real
+        from sage.functions.other import imag
 
         self.add_vertex_positions_to_horotriangles()
 

python/hyperboloid/distances.py

@@ -8,7 +8,7 @@
 from ..sage_helper import _within_sage # type: ignore
 
 if _within_sage:
-    import sage.all # type: ignore
+    from ..sage_helper import Infinity
 
 __all__ = ['distance_r13_lines',
            'lower_bound_distance_r13_line_triangle']
@@ -183,7 +183,7 @@ def _safe_sqrt(p):
 
     if is_RealIntervalFieldElement(p):
         RIF = p.parent()
-        p = p.intersection(RIF(0, sage.all.Infinity))
+        p = p.intersection(RIF(0, Infinity))
     else:
         if p < 0:
             RF = p.parent()
@@ -193,7 +193,7 @@ def _safe_sqrt(p):
 def _safe_log(p):
     if is_RealIntervalFieldElement(p):
         RIF = p.parent()
-        p = p.intersection(RIF(0, sage.all.Infinity))
+        p = p.intersection(RIF(0, Infinity))
     else:
         if p <= 0:
             RF = p.parent()
@@ -207,7 +207,7 @@ def _safe_log_non_neg(p):
     if p == 0:
         if is_RealIntervalFieldElement(p):
             RIF = p.parent()
-            return RIF(-sage.all.Infinity)
+            return RIF(-Infinity)
         else:
             RF = p.parent()
             return RF(-1e20)
@@ -217,7 +217,7 @@ def _safe_log_non_neg(p):
 def _safe_arccosh(p):
     if is_RealIntervalFieldElement(p):
         RIF = p.parent()
-        p = p.intersection(RIF(1, sage.all.Infinity))
+        p = p.intersection(RIF(1, Infinity))
     else:
         if p < 1:
             RF = p.parent()
@@ -233,9 +233,9 @@ def _safe_div(a, b):
     if is_RealIntervalFieldElement(b):
         RIF = b.parent()
         if b == 0:
-            return RIF(sage.all.Infinity)
+            return RIF(Infinity)
         else:
-            return a / b.intersection(RIF(0, sage.all.Infinity))
+            return a / b.intersection(RIF(0, Infinity))
     else:
         if b <= 0:
             RIF = b.parent()

python/math_basics.py

@@ -21,7 +21,8 @@ def is_Interval(x):
     return is_RealIntervalFieldElement(x) or is_ComplexIntervalFieldElement(x)
 
 if _within_sage:
-    from sage.all import prod, xgcd
+    from sage.misc.misc_c import prod
+    from sage.arith.misc import XGCD as xgcd
     from sage.rings.real_mpfi import is_RealIntervalFieldElement
     from sage.rings.complex_interval import is_ComplexIntervalFieldElement
 

python/number.py

@@ -11,7 +11,7 @@
 precision_of_exact_GEN = pari(0).precision()
 
 if _within_sage:
-    from sage.all import RealField, Integer, Rational, ZZ, QQ, RR, CC, SR
+    from .sage_helper import RealField, Integer, Rational, ZZ, QQ, RR, CC
     from sage.structure.parent import Parent
     from sage.structure.unique_representation import UniqueRepresentation
     from sage.categories.homset import Hom
@@ -66,8 +66,13 @@ def __init__(self, precision):
             self._precision = precision
             self.register_coercion(MorphismToSPN(ZZ, self, self._precision))
             self.register_coercion(MorphismToSPN(QQ, self, self._precision))
-            to_SR = Hom(self, SR, Sets())(lambda x: SR(x.sage()))
-            SR.register_coercion(to_SR)
+            try:
+                from sage.symbolic.ring import SR
+            except ImportError:
+                pass
+            else:
+                to_SR = Hom(self, SR, Sets())(lambda x: SR(x.sage()))
+                SR.register_coercion(to_SR)
 
         def _repr_(self):
             return "SnapPy Numbers with %s bits precision" % self._precision

python/pari.py

@@ -18,7 +18,11 @@
                                        prec_words_to_bits,
                                        prec_bits_to_dec,
                                        prec_dec_to_bits)
-    from sage.all import PariError
+    try:
+        from sage.all import PariError
+    except ImportError:
+        from sage.libs.pari.all import PariError
+
     shut_up = lambda: None
     speak_up = lambda: None
 

python/sage_helper.py

@@ -9,7 +9,7 @@
 """
 
 try:
-    import sage.all
+    import sage.structure.sage_object
     _within_sage = True
 except ImportError:
     _within_sage = False
@@ -30,6 +30,38 @@ def sage_method(function):
         from sage.rings.complex_field import ComplexField, ComplexField_class
         from sage.rings.complex_number import create_ComplexNumber
 
+    try:
+        # Monolithic Sage library
+        from sage.all import RealField, RealNumber, RealDoubleElement, ComplexField, gcd, prod, powerset
+        from sage.all import MatrixSpace, matrix, vector, ZZ
+        from sage.all import Integer, Rational, QQ, RR, CC
+        from sage.all import sqrt
+        from sage.all import I, Infinity
+        from sage.all import arccosh
+    except ImportError:
+        # Modularized Sage library
+        from sage.arith.misc import gcd
+        from sage.combinat.subset import powerset
+        from sage.functions.hyperbolic import arccosh
+        from sage.matrix.constructor import Matrix as matrix
+        from sage.matrix.matrix_space import MatrixSpace
+        from sage.misc.functional import sqrt
+        from sage.misc.misc_c import prod
+        from sage.modules.free_module_element import free_module_element as vector
+        from sage.rings.cc import CC
+        from sage.rings.complex_mpfr import ComplexField
+        from sage.rings.imaginary_unit import I
+        from sage.rings.infinity import Infinity
+        from sage.rings.integer import Integer
+        from sage.rings.integer_ring import ZZ
+        from sage.rings.rational import Rational
+        from sage.rings.rational_field import QQ
+        from sage.rings.real_double import RealDoubleElement
+        from sage.rings.real_mpfr import RealField, RealNumber, RR
+
+    from sage.rings.real_mpfi import is_RealIntervalFieldElement
+    from sage.structure.sage_object import SageObject
+
 else:
     import decorator
 

python/snap/character_varieties.py

@@ -359,7 +359,8 @@ def character_variety_ideal(gens, rels=None):
     2
     """
     presentation = character_variety(gens, rels)
-    from sage.all import PolynomialRing, QQ
+    from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
+    from sage.rings.rational_field import Q as QQ
     R = PolynomialRing(QQ, [repr(v) for v in presentation.gens])
     return R.ideal([R(p) for p in presentation.rels])
 

python/snap/find_field.py

@@ -1,6 +1,18 @@
-from sage.all import (cached_method, real_part, imag_part, round, ceil, floor, log,
-                      ZZ, QQ, CDF, ComplexField, NumberField, PolynomialRing,
-                      matrix, identity_matrix)
+from sage.misc.cachefunc import cached_method
+from sage.functions.other import real as real_part
+from sage.functions.other import imag as imag_part
+from sage.misc.functional import round
+from sage.functions.other import ceil
+from sage.functions.other import floor
+from sage.misc.functional import log
+from sage.rings.integer_ring import Z as ZZ
+from sage.rings.rational_field import Q as QQ
+from sage.rings.complex_double import CDF
+from sage.rings.complex_mpfr import ComplexField
+from sage.rings.number_field.number_field import NumberField
+from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
+from sage.matrix.constructor import Matrix as matrix
+from sage.matrix.special import identity_matrix
 import itertools
 
 

python/snap/fundamental_polyhedron.py

@@ -11,7 +11,7 @@
 
 from ..sage_helper import _within_sage
 if _within_sage:
-    from sage.all import matrix
+    from sage.matrix.constructor import Matrix as matrix
 else:
     from .utilities import Matrix2x2 as matrix
 

python/snap/nsagetools.py

@@ -6,9 +6,20 @@
 
 if _within_sage:
     import sage
-    from sage.all import (ZZ, vector, matrix, block_matrix, identity_matrix,
-                          gcd, prod, det, MatrixSpace, AbelianGroup, GroupAlgebra,
-                          SageObject, PolynomialRing, LaurentPolynomialRing)
+    from sage.rings.integer_ring import Z as ZZ
+    from sage.modules.free_module_element import free_module_element as vector
+    from sage.matrix.constructor import Matrix as matrix
+    from sage.matrix.special import block_matrix
+    from sage.matrix.special import identity_matrix
+    from sage.arith.misc import GCD as gcd
+    from sage.misc.misc_c import prod
+    from sage.misc.functional import det
+    from sage.matrix.matrix_space import MatrixSpace
+    from sage.groups.abelian_gps.abelian_group import AbelianGroup
+    from sage.algebras.group_algebra import GroupAlgebra
+    from sage.structure.sage_object import SageObject
+    from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
+    from sage.rings.polynomial.laurent_polynomial_ring import LaurentPolynomialRing
 
     from .polished_reps import polished_holonomy, MatrixRepresentation
     Id2 = MatrixSpace(ZZ, 2)(1)

python/snap/peripheral/dual_cellulation.py

@@ -6,7 +6,11 @@
 from .. import t3mlite as t3m
 
 if sage_helper._within_sage:
-    from sage.all import (ZZ, matrix, vector, ChainComplex, Graph)
+    from sage.rings.integer_ring import Z as ZZ
+    from sage.matrix.constructor import Matrix as matrix
+    from sage.modules.free_module_element import free_module_element as vector
+    from sage.homology.chain_complex import ChainComplex
+    from sage.graphs.graph import Graph
 
 
 class DualCell():

python/snap/peripheral/peripheral.py

@@ -3,7 +3,9 @@
 from . import link, dual_cellulation
 
 if sage_helper._within_sage:
-    from sage.all import matrix, vector, ZZ
+    from sage.matrix.constructor import Matrix as matrix
+    from sage.modules.free_module_element import free_module_element as vector
+    from sage.rings.integer_ring import Z as ZZ
 
 
 def peripheral_curve_from_snappy(dual_cell, snappy_data):