Dense real double vectors using a NumPy backend

EXAMPLES:

sage: # needs sage.symbolic
sage: v = vector(RDF, [1, pi, sqrt(2)]); v
(1.0, 3.141592653589793, 1.414213562373095)
sage: type(v)
<class 'sage.modules.vector_real_double_dense.Vector_real_double_dense'>
sage: parent(v)
Vector space of dimension 3 over Real Double Field
sage: v[0] = 5
sage: v
(5.0, 3.141592653589793, 1.414213562373095)
sage: loads(dumps(v)) == v
True

AUTHORS:

– Jason Grout, Oct 2008: switch to numpy backend, factored out

Vector_double_dense class

class sage.modules.vector_real_double_dense.Vector_real_double_dense

Bases: Vector_double_dense

Vectors over the Real Double Field. These are supposed to be fast vector operations using C doubles. Most operations are implemented using numpy which will call the underlying BLAS, if needed, on the system.

EXAMPLES:

sage: v = vector(RDF, [1,2,3,4]); v
(1.0, 2.0, 3.0, 4.0)
sage: v*v
30.0

stats_skew()

Computes the skewness of a data set.

For normally distributed data, the skewness should be about 0. A skewness value > 0 means that there is more weight in the left tail of the distribution. (Paragraph from the scipy.stats docstring.)

EXAMPLES:

sage: v = vector(RDF, range(9))
sage: v.stats_skew()                                                        # needs scipy
0.0

sage.modules.vector_real_double_dense.unpickle_v0(parent, entries, degree)

Create a real double vector containing the entries.

EXAMPLES:

sage: v = vector(RDF, [1,2,3])
sage: w = sage.modules.vector_real_double_dense.unpickle_v0(v.parent(), list(v), v.degree())
sage: v == w
True

sage.modules.vector_real_double_dense.unpickle_v1(parent, entries, degree, is_mutable=None)

Create a real double vector with the given parent, entries, degree, and mutability.

EXAMPLES:

sage: v = vector(RDF, [1,2,3])
sage: w = sage.modules.vector_real_double_dense.unpickle_v1(v.parent(), list(v), v.degree(), v.is_immutable())
sage: v == w
True