Intel® oneAPI Math Kernel Library
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best way to add a value to all elements in a vector

madir
Beginner
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Hi,

Is there a betterway to add a value to all elements in a vector than this:


cblas_saxpy(arrSize, &m_anyvalue, m_pU, 1, m_pX, 1 );

where

m_pU = a vector of ones

m_pX = the vector I want to add m_anyvalue to

Thanks

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13 Replies
Sergey_M_Intel2
Employee
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Hello,

cblas_saxpydoesn't lookright routine to use. My recommendation will be:

vsLinearFrac( n, a, b, scalea, shifta, scaleb, shiftb, y )

Description

The v?LinearFrac function performs linear fraction transformation of vectors a by vector b with scalar parameters: scaling multipliers scalea, scaleb and shifting addends shifta, shiftb:

y=(scaleaa+shifta)/(scalebb+shiftb), i=1,2 n

Just set scalea=1.0f, scaleb=0.0f, shiftb=1.0f

I hope that helps,
Sergey

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madir
Beginner
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Thanks! I'll try that instead!

Is the function smart enough to avoid performing the unnecessary computations?
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Sergey_M_Intel2
Employee
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Hello again,

Yes, the function should be able to effectively handlesuch subtle cases. Let me know if it works fine.

With one more note. y=x+scale stresses the ADD unit only. It means in particular that, for example, MUL unit is iddle while performaing vector ADD. (Please remember all modern Intel CPUs can issue add and mul operations simultaneously). If you use Intel C++ compiler (which has quite good vectorizer) you might get better overall performance if you can mix this computation (y=x+scale) with other stuff so that all CPU compute units are busy.

Regards,
Sergey
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madir
Beginner
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Oh no, it seems there is no overload for complex input...

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Sergey_M_Intel2
Employee
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Correct. Only real single and double precision variant for v?LinearFrac
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TimP
Honored Contributor III
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So you may be better off using your compiler (such as Intel or recent gcc).
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madir
Beginner
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How? (I am not really a programmer so it is not obvious to me) Do you mean I should just write a for loop and trust the compiler to optimize it?
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mecej4
Honored Contributor III
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How? (I am not really a programmer so it is not obvious to me)

In that case, you may want to use mathematical reasoning to see if you can avoid a redundant calculation altogether.

For example, if z is a complex-valued n-vector, and the desired result is, say, w = z = u + i v, and you wish to add the real number c to the real parts of the components of z, you can compute w1 = (u + n c) + i v as the modified result.
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madir
Beginner
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Sure, but how do I optimize it? The re/im parts of the complex numbers are interleaved in the array. I cant use the functions mentioned above and writing a for-loop with a step increment of 2 doesn't seem so tempting.

Wouldn't it be nice to add a function to VML that does addition with a constant?
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mecej4
Honored Contributor III
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I don't think that you understood the thrust of my remarks. There is nothing to optimize in a calculation that is not even performed!

So far, you have stated that you want a routine to add a constant to a vector, and you did not like the ones that were suggested.

If you state details of how the added constant plays a role in subsequent calculations, further suggestions may become possible.
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Sergey_M_Intel2
Employee
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Exactly.

for (i=0; i{
x += c;
}

Intel C++ compiler should nicely vectorize the loop

Thanks,
Sergey
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madir
Beginner
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mecej4:

Yup, nothing like a calculation that never needs to be done:) I don't have any particular problem, but I can imagine that in some cases one can get away with an initialization to a contant instead of an addition. Example:

a = zeros
a = a + b*c
a = a + d

can be changed to

a = d
a = a + b*c


Is there something like a "vector-memset" in MKL?
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madir
Beginner
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Ah - nice! Thanks Sergey!
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