one more question about the parameters of the BLAS

Open discussion regarding features, bugs, issues, vendors, etc.

one more question about the parameters of the BLAS

Postby serlancelot » Sat Feb 10, 2007 7:30 am

I needed one more information, to understand deeply how BLAS routines work
in any of the 1 level blas, there are incx and incy; iread that you can put integer number in them, and the numbers that you want. But if the numbers it's all the same what you insert, why ain't they generated directly inside by the blas routines themselves?
For exemple in a routine like dcopy, can give a difference if I insert 5 and 5, instead of 1 and 1? And if I insert 0 for incx and 1 for incy, what does it happen?
Thanks alot to anyone who feels like to explain me! :oops: :)
serlancelot
 
Posts: 11
Joined: Tue Feb 06, 2007 11:26 am
Location: Northern Italy

Postby Julien Langou » Mon Feb 12, 2007 4:03 pm

in any of the 1 level blas, there are incx and incy; I read that you can put
integer number in them, and the numbers that you want.


Well, sure, you pick the number you want, you are the user so you decide. But
the INCX value does have some meaning ... Be careful with your interpretation,
BLAS routines are not asking for INCX just for the fun of having a useless
extra argument.

So what does INCX mean? Typically a vector is represented by three arguments:
N, X(I), INCX. First its length: N, then a pointer to the first element of the
array: X(I), and third the increment INCX. The vector you want to work with is
then defined in memory with:

Code: Select all
[ X(I), X(I+INCX), X(I+2*INCX), ..., X(I+(N-1)*INCX) ]


If your vector is stored contiguously in memory, then INCX=1.

Now, imagine you have an M-by-N matrix stored by column in a M*N array A. The
array A is declared in Fortran with:
Code: Select all
       DOUBLE PRECISION A(LDA,N)

where LDA>=M is the leading dimension of A. Then the column J of A is defined
with:
Code: Select all
M, A(1,J), 1

the row I of A is defined with:
Code: Select all
N, A(I,1), LDA


This is one classical example where the increment argument, INCX, is useful.
You can find others in more application specific configuration.

In general, you have INCX>0 but INCX<0 is allowed as well.

In some cases, INCX=0 is allowed. One use of INCX=0 is for example if you want
to initialize all the elements of a vector X to 10.00D+00, you can do
Code: Select all
       CALL DCOPY( N, 10D+00, 0, X, 1)


For exemple in a routine like dcopy, can give a difference if I insert 5 and
5, instead of 1 and 1? And if I insert 0 for incx and 1 for incy, what does it
happen?


I hope you can now answer your question by yourself, but basically

  1. if you type:
    Code: Select all
           CALL DCOPY( 5, X, 5, Y, 1)

    The code will perform as:
    Code: Select all
           Y(1) = X( 1)
           Y(2) = X( 6)
           Y(3) = X(11)
           Y(4) = X(16)
           Y(5) = X(21)

  2. if you type:
    Code: Select all
           CALL DCOPY( 5, X, 0, Y, 1)

    The code will perform as:
    Code: Select all
           Y(1) = X(1)
           Y(2) = X(1)
           Y(3) = X(1)
           Y(4) = X(1)
           Y(5) = X(1)

and etc.

-j
Julien Langou
 
Posts: 835
Joined: Thu Dec 09, 2004 12:32 pm
Location: Denver, CO, USA


Return to User Discussion

Who is online

Users browsing this forum: No registered users and 7 guests