What does Fortran order mean?

[Stefan van der Walt]

On Mon, Oct 16, 2006 at 02:20:04PM -0600, Charles R Harris wrote:
> Travis,
> 
> I note that
> 
> >>> a = arange(6).reshape(2,3,order='F')
> >>> a
> array([[0, 1, 2],
>        [3, 4, 5]])
> 
> Shouldn't that be 3x2? Or maybe [[0,2,4],[1,3,5]]? Reshape is making a copy,
> but flat, flatten, and tostring all show the elements in 'C' order. I ask
> because I wonder if changing the order can be used to prepare arrays for input
> into the LaPack routines.

I think that the calculation of 'a' above is correct, but that the
memory representation is incorrect.  For example (see attached script
-- which is overkill, I know), these commands:

x = N.arange(6,dtype=float).reshape((2,3),order='F')
catmem(x)

x = N.array([[0,1,2],[3,4,5]],order='F',dtype=float)
catmem(x)

x = N.array(N.arange(6,dtype=float).reshape((2,3)),order='F')
catmem(x)

x = N.asfortranarray(N.arange(6,dtype=float).reshape((2,3)))
catmem(x)

yield the following results:

0.000000 1.000000 2.000000 3.000000 4.000000 5.000000 
0.000000 3.000000 1.000000 4.000000 2.000000 5.000000 
0.000000 3.000000 1.000000 4.000000 2.000000 5.000000 
0.000000 3.000000 1.000000 4.000000 2.000000 5.000000 

Regards
Stéfan
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from glob import glob

env = Environment()
env.Replace(CCFLAGS=['-O2','-Wall','-ansi','-pedantic'])
env.SharedLibrary('catmem', ['catmem.c'])
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