diff --git a/doc_src/verify.rst b/doc_src/verify.rst index 04fc2c46..241a62d7 100644 --- a/doc_src/verify.rst +++ b/doc_src/verify.rst @@ -164,7 +164,7 @@ Some examples of verified computations are: * An example of finding all geodesics up to length 1:: - sage: from sage.all import RIF + sage: from snappy.sage_helper import RIF sage: L = RIF(1) sage: M = Manifold("m003") sage: spec = M.length_spectrum_alt_gen(verified=True) diff --git a/python/cusps/__init__.py b/python/cusps/__init__.py index 76b2c246..a13f6d10 100644 --- a/python/cusps/__init__.py +++ b/python/cusps/__init__.py @@ -210,7 +210,7 @@ def short_slopes(manifold, The given :attr:`length` is cast to a SageMath ``RealIntervalField`` of the given precision if :attr:`verified = True`:: - sage: from sage.all import pi + sage: from sage.symbolic.constants import pi sage: M.short_slopes(length = 2 * pi, verified = True, bits_prec = 100) [[(1, 0), (-5, 1), (-4, 1), (-3, 1), (-2, 1), (-1, 1), (0, 1), (1, 1), (2, 1), (3, 1), (4, 1), (5, 1)]] diff --git a/python/cusps/cusp_areas_from_matrix.py b/python/cusps/cusp_areas_from_matrix.py index 45b9fb21..468e4fef 100644 --- a/python/cusps/cusp_areas_from_matrix.py +++ b/python/cusps/cusp_areas_from_matrix.py @@ -8,7 +8,7 @@ def unbiased_cusp_areas_from_cusp_area_matrix(cusp_area_matrix): Examples:: - sage: from sage.all import matrix, RIF + sage: from snappy.sage_helper import matrix, RIF sage: unbiased_cusp_areas_from_cusp_area_matrix( ... matrix([[RIF(9.0,9.0005),RIF(6.0, 6.001)], ... [RIF(6.0,6.001 ),RIF(4.0, 4.001)]])) @@ -64,7 +64,7 @@ def unbiased_cusp_areas_from_cusp_area_matrix(cusp_area_matrix): def greedy_cusp_areas_from_cusp_area_matrix(cusp_area_matrix, first_cusps=[]): """ - sage: from sage.all import matrix, RIF + sage: from snappy.sage_helper import matrix, RIF sage: greedy_cusp_areas_from_cusp_area_matrix( ... matrix([[RIF(9.0,9.0005),RIF(6.0, 6.001)], ... [RIF(6.0,6.001 ),RIF(10.0, 10.001)]])) diff --git a/python/cusps/short_slopes_for_cusp.py b/python/cusps/short_slopes_for_cusp.py index de4787a4..65d190d1 100644 --- a/python/cusps/short_slopes_for_cusp.py +++ b/python/cusps/short_slopes_for_cusp.py @@ -20,7 +20,7 @@ def short_slopes_from_cusp_shape_and_area( cusp_shape is longitude over meridian (conjugate). l/m - sage: from sage.all import RIF, CIF + sage: from snappy.sage_helper import RIF, CIF sage: short_slopes_from_cusp_shape_and_area(CIF(RIF(1.0),RIF(1.3333,1.3334)), RIF(12.0)) [(1, 0), (-2, 1), (-1, 1), (0, 1)] diff --git a/python/margulis/__init__.py b/python/margulis/__init__.py index 89d832b1..208b4c5a 100644 --- a/python/margulis/__init__.py +++ b/python/margulis/__init__.py @@ -263,7 +263,7 @@ def margulis( number. Here is an example to prove that :math:`\\mu(M)>0.8`:: sage: M=ManifoldHP("s479(-3,1)") - sage: from sage.all import RealIntervalField + sage: from snappy.sage_helper import RealIntervalField sage: M.margulis(verified=True, stopper=0.9)>RealIntervalField()('0.8') True diff --git a/python/math_basics.py b/python/math_basics.py index 3cad4c64..94e9942a 100644 --- a/python/math_basics.py +++ b/python/math_basics.py @@ -104,7 +104,7 @@ def correct_min(l): This is needed because python's min returns the wrong result for intervals, for example: - sage: from sage.all import RIF + sage: from snappy.sage_helper import RIF sage: min(RIF(4,5), RIF(3,6)).endpoints() (4.00000000000000, 5.00000000000000) diff --git a/python/matrix.py b/python/matrix.py index 8ef883a2..0bc16bcd 100644 --- a/python/matrix.py +++ b/python/matrix.py @@ -373,7 +373,7 @@ def mat_solve(m, v, epsilon=0): Setup a complex interval for example:: - sage: from sage.all import RealIntervalField, ComplexIntervalField + sage: from snappy.sage_helper import RealIntervalField, ComplexIntervalField sage: RIF = RealIntervalField(80) sage: CIF = ComplexIntervalField(80) sage: fuzzy_four = CIF(RIF(3.9999,4.0001),RIF(-0.0001,0.0001)) diff --git a/python/tiling/floor.py b/python/tiling/floor.py index 05928b23..67ef6fe0 100644 --- a/python/tiling/floor.py +++ b/python/tiling/floor.py @@ -8,7 +8,7 @@ def floor_as_integers(x) -> Sequence[int]: Computes floor of a number or interval, returning a list of integers if evaluating floor is ambiguous. - sage: from sage.all import RIF + sage: from snappy.sage_helper import RIF sage: floor_as_integers(RIF(1.8, 1.9)) [1] sage: floor_as_integers(RIF(1.9, 2.1)) diff --git a/python/tiling/real_hash_dict.py b/python/tiling/real_hash_dict.py index ecb7da9c..ae46edb9 100644 --- a/python/tiling/real_hash_dict.py +++ b/python/tiling/real_hash_dict.py @@ -58,7 +58,7 @@ class RealHashDict: >>> d.get(to_number(10.0000001)) ['A', 'B'] - sage: from sage.all import RIF + sage: from snappy.sage_helper import RIF sage: def equality_predicate(x, y): ... d = abs(x - y) ... if d < RIF(0.1): diff --git a/python/verify/interval_newton_shapes_engine.py b/python/verify/interval_newton_shapes_engine.py index f635f4f2..f06cca7c 100644 --- a/python/verify/interval_newton_shapes_engine.py +++ b/python/verify/interval_newton_shapes_engine.py @@ -350,7 +350,7 @@ def certified_newton_iteration(equations, shape_intervals, Intervals containing the true solution:: - sage: from sage.all import vector + sage: from snappy.sage_helper import vector sage: good_shapes = vector([ ... C.CIF(C.RIF(0.78055, 0.78056), C.RIF(0.91447, 0.91448)), ... C.CIF(C.RIF(0.78055, 0.78056), C.RIF(0.91447, 0.91448)), @@ -368,7 +368,7 @@ def certified_newton_iteration(equations, shape_intervals, Intervals not containing a true solution:: - sage: from sage.all import vector + sage: from snappy.sage_helper import vector sage: bad_shapes = vector([ ... C.CIF(C.RIF(0.78054, 0.78055), C.RIF(0.91447, 0.91448)), ... C.CIF(C.RIF(0.78055, 0.78056), C.RIF(0.91447, 0.91448)), diff --git a/python/verify/interval_tree.py b/python/verify/interval_tree.py index 08ae51dd..b57dbda8 100644 --- a/python/verify/interval_tree.py +++ b/python/verify/interval_tree.py @@ -12,7 +12,7 @@ class IntervalTree(): Create an interval tree and add pairs to it:: - sage: from sage.all import RIF + sage: from snappy.sage_helper import RIF sage: t = IntervalTree() sage: t.insert(RIF(1.01,1.02),'1') sage: t.insert(RIF(3.01,3.02),'3') diff --git a/python/verify/krawczyk_shapes_engine.py b/python/verify/krawczyk_shapes_engine.py index 1313a3db..5843a401 100644 --- a/python/verify/krawczyk_shapes_engine.py +++ b/python/verify/krawczyk_shapes_engine.py @@ -288,7 +288,7 @@ def krawczyk_interval(self, shape_intervals): Do several Krawczyk operations to get a better solution:: - sage: from sage.all import vector + sage: from snappy.sage_helper import vector sage: M = Manifold("m019") sage: shapes = vector(ComplexIntervalField(53), [ 0.5+0.8j, 0.5+0.8j, 0.5+0.8j]) sage: for i in range(15):