#11549: Arithmetic with symbolic vectors always creates a new
FreeModuleElement_generic_dense
-------------------------+--------------------------------------------------
Reporter: jvkersch | Owner: burcin
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: symbolics | Keywords: vector, symbolic, arithmetic
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
-------------------------+--------------------------------------------------
Changes (by jvkersch):
* cc: jason (added)
* status: new => needs_review
Comment:
The current patch implements the modification in `_new_c` proposed in
sage-devel, and adds an extra doctest to `Vector_symbolic_dense`.
Interestingly, this change also affects the formatting of
`Vector_callable_symbolic_dense`: instead of
{{{
sage: f(r, theta, z) = (r*cos(theta), r*sin(theta), z), f
(r, theta, z) |--> (r*cos(theta), r*sin(theta), z)
sage: f+f
((r, theta, z) |--> 2*r*cos(theta), (r, theta, z) |--> 2*r*sin(theta), (r,
theta, z) |--> 2*z)
sage: 3*f
((r, theta, z) |--> 3*r*cos(theta), (r, theta, z) |--> 3*r*sin(theta), (r,
theta, z) |--> 3*z)
}}}
we now have
{{{
sage: f(r, theta, z) = (r*cos(theta), r*sin(theta), z), f
(r, theta, z) |--> (r*cos(theta), r*sin(theta), z)
sage: f+f
(r, theta, z) |--> (2*r*cos(theta), 2*r*sin(theta), 2*z)
sage: 3*f
(r, theta, z) |--> (3*r*cos(theta), 3*r*sin(theta), 3*z)
}}}
As far as I can tell, this is a purely cosmetic change, so I've taken the
liberty of going ahead and adapting the doctests in
`Vector_callable_symbolic_dense`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11549#comment:1>
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