[Numpy-discussion] adding a .M attribute to the array.
pearu at cens.ioc.ee
Wed Mar 6 12:00:31 CST 2002
On Wed, 6 Mar 2002, Perry Greenfield wrote:
> Other suggestions?
Here is one suggestion that is based on the observation that all we need
is an easy way to tell that the following operation should be applied
as a matrix operation. So, the suggestion is to provide an attribute or a
member function that returns an array (note, not a Matrix instance) that
has a bit, called it asmatrix, set true but _only_ temporally. The bit is
cleaned on every operation. And before applying an operation, the
corresponding method (currently there seem to be only four relevant
methods: __mul__, __pow__ and their r-versions) checks if either of
the operants has asmatrix bit true, then performs the corresponding matrix
operation, otherwise the default element-wise operation. And before
returning, it cleans up asmatrix bit.
For the sake of an example, let .m be Numeric array attribute that when
accessed sets asmatrix=1 and returns the array.
a * b - is element-wise multiplication
a.m * b, a * b.m - are matrix multiplications, the resulting
array, as well a and b, have asmatrix=0
a.m ** -1 - is matrix inverse
sin(a) - element-wise sin
sin(a.m) - matrix sin
To summarize the main ideas:
* array has asmatrix bit that most of the time is false.
* there is a way to set the asmatrix bit true, either by .m or .M
attributes or .m(), .M(), .. methods that return the same array.
* __mul__, __pow__, etc. methods check if either operant has asmatrix
true, then performs the corresponding matrix operation, otherwise
the corresponding element-wise operation.
* all operations clean asmatrix bit.
So, what do you think?
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