Re: (pain reloaded) Why worse performace in euclidean distance with SSE2?

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Hi Dario -
I got more than a 10% improvement on my machine, but I looked at thecode, and I must confess, I'm not sure what you're doing.  It seems asthough the 0 and 1 cases are not equivalent code.
Can you explain the actual problem you're trying to solve?
On Wed, Apr 9, 2008 at 10:57 AM, Dario Bahena Tapia <dario.mx@xxxxxxxxx> wrote:> Jello,>>  I am still depressed about my performance. I have made following>  "improvements" in code:>>  1. I am not using sqrt function anymore (it seems squared euclidean>  distance is itself a metric)>>  2. I am using single precision calculations>>  3. I am using a different memory organization (SOA), now I have two>  big arrays with all X coordinates in one and all Y coordinates in the>  other.>>  4. I have changed logic to save once current point in registers and>  iterate, in a SIMD fashion, over the rest.>>  5. I am turning on full brutal optimization in gcc (-O3)>>  Still with these changes, I only got an small improvement in time ...>  around 10%. I would have expected an improvement of around 75% given I>  am now doing 4 operations at a time (and that is if we do not count>  pipelining which may exec more than one SSE2 instruction at a "time">  ... but unsure here, could be telling nonsense crap ;-).>>  Please, hardcore intel gods of assembler optimization, provide some>  feedback for this poor beast of the forest.>>  Thanks>>  PS: Attached are the program, dummy makefile, sample usage and the>  assembler generated. An input size of 24,000 is enough to see the>  problem (dimension must be multiple of 8).>>  On Tue, Apr 8, 2008 at 9:55 AM, Dario Bahena Tapia <dario.mx@xxxxxxxxx> wrote:>  > Hello,>  >>  >  Yeah, others have suggested as well changing the way i process them in>  >  order to allow for that. Working there ;-|>  >>  >  Will consider the other suggestions as well !!!>  >>  >  Thanks.>  >>  >>  >>  >>  >  On Tue, Apr 8, 2008 at 2:07 AM, Zuxy Meng <zuxy.meng@xxxxxxxxx> wrote:>  >  > Hi,>  >  >>  >  >  "Dario Bahena Tapia" <dario.mx@xxxxxxxxx>>  >  > 写入消息新闻:3d104d6f0804070617u47213cc8nbc697dab9dc262b5@xxxxxxxxxxxxxxxxx>  >  >>  >  >>  >  >>  >  > > Hello,>  >  > >>  >  > > I have just begun to play with SSE2 and gcc intrinsics. Indeed, maybe>  >  > > this question is not exactly about gcc  ... but I think gcc lists are>  >  > > a very good place to find help from  hardcore assembler hackers ;-1>  >  > >>  >  > > I have a program which makes heavy usage of euclidean distance>  >  > > function. The serial version is:>  >  > >>  >  > > inline static double dist(int i,int j)>  >  > > {>  >  > >  double xd = C[i][X] - C[j][X];>  >  > >  double yd = C[i][Y] - C[j][Y];>  >  > >  return rint(sqrt(xd*xd + yd*yd));>  >  > > }>  >  > >>  >  > > As you can see each C[i] is an array of two double which represents a>  >  > > 2D vector (indexes 0 and 1 are coordinates X,Y respectively). I tried>  >  > > to vectorize the function using SSE2 and gcc intrinsics, here is the>  >  > > result:>  >  > >>  >  > > inline static double dist_sse(int i,int j)>  >  > > {>  >  > >  double d;>  >  > >  __m128d xmm0,xmm1;>  >  > >  xmm0 =_mm_load_pd(C[i]);>  >  > >  xmm1 = _mm_load_pd(C[j]);>  >  > >  xmm0 = _mm_sub_pd(xmm0,xmm1);>  >  > >  xmm1 = xmm0;>  >  > >  xmm0 = _mm_mul_pd(xmm0,xmm1);>  >  > >  xmm1 = _mm_shuffle_pd(xmm0, xmm0, _MM_SHUFFLE2(1, 1));>  >  > >  xmm0 = _mm_add_pd(xmm0,xmm1);>  >  > >  xmm0 = _mm_sqrt_pd(xmm0);>  >  > >  _mm_store_sd(&d,xmm0);>  >  > >  return rint(d);>  >  > > }>  >  > >>  >  > > Of course each C[i] was aligned as SSE2 expects:>  >  > >>  >  > > for(i=0; i<D; i++)>  >  > > C[i] = (double *) _mm_malloc(2 * sizeof(double), 16);>  >  > >>  >  > > And in order to activate the SSE2 features, I am using the following>  >  > > flags for gcc (my computer is a laptop):>  >  > >>  >  > > CFLAGS = -O -Wall -march=pentium-m -msse2>  >  > >>  >  > > The vectorized version of the function seems to be correct, given it>  >  > > provides same results as serial counterpart. However, the performace>  >  > > is poor; execution time of program increases in approximately 50% (for>  >  > > example, in calculating the distance of every pair of points from a>  >  > > set of 10,000, the serial version takes around 8 seconds while>  >  > > vectorized flavor takes 12).>  >  > >>  >  > > I was expecting a better time given that:>  >  > >>  >  > > 1. The difference of X and Y is done in parallel>  >  > > 2. The product of each difference coordinate with itself is also done>  >  > > in parallel>  >  > > 3. The sqrt function used is hardware implemented (although serial>  >  > > sqrt implementation could also take advantage of hardware)>  >  > >>  >  > > I suppose the problem here is my lack of experience programming in>  >  > > assembler in general, and in particular with SSE2. Therefore, I am>  >  > > looking for advice.>  >  > >>  >  >>  >  >  1. First of all, you didn't extract the parallelism in your algorithm. SSE2>  >  > won't help you if all you want is to pick up two points at random indices>  >  > and calculate the distance. However it will help you a lot when you>  >  > calculate the distances between a given point and 1 million others whose>  >  > indices are sequential.>  >  >>  >  >  2. Unroll the loop to hide the latency of square root as much as possible.>  >  >>  >  >  3. Since the final result is an integer, you may consider using "float">  >  > instead of "double". That'll give you a performance boost even without SSE2.>  >  > And rsqrtps comes in handy too, if its precision is acceptable.>  >  >>  >  >  -->  >  >  Zuxy>  >  >>  >  >>  >>

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