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efficient matrix multiplication [message #3817] Fri, 17 March 1995 13:18 Go to previous message
orbach is currently offline  orbach
Messages: 9
Registered: June 1994
Junior Member
Greetings all.

I need to find the inner product between a single floating point
image (of size 64*48; let's call it specialimage) and several
thousands of integer-type images (all with same 64*48 size).
The integer images are stored in files, each of which consists
of a stack of approximately 100 images (so the file structure
is int(64, 48, 100). My task is to, as efficiently as possible,
read in specialimage, read in the integer files, perform the inner
product operation, and store the output into an array of floats.

In order to avoid performing a multiplication for every individual
snapshot, I've been replicating specialimage 100 times (so that it's
now a floating point array of dim 64*48*100), reading
in an entire image file into a variable (of size integer(64*48*100)),
and then simply multipliying the two large arrays. This leaves me
with a new array of size 64*48*100 (call it productarray).

Here's the question: In order to extract the inner products from this
big array, I've been looping over the z-variable and doing a "total()"
operation: for i = 0, 99 do output(i)=total(productarray(*,*,i)).
This process seems highly inefficient, and since I'm doing this
hundreds of times every time I need the series of inner products,
I'm looking for a better method. Is there a function analogous to
total(), which can be directed to act over a specified dimension without
looping over every element of that dimension? If it's at all relevant,
I'm using PV-WAVE Advantage 5.0.

Thanks in advance.
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