Looking at it, memory bank conflicts may only exist in shared memory 
structures.  If you think of the memory as a matrix NxM.  Memory addresses in 
column i are controlled by the same memory controller.  The column is said to 
be a bank.  If two processes are trying to write to addresses (0,i) and (1,i), 
then it will take 2 memory cycles to put those in.  The controller can only 
handle 1 write into the bank at a time.

If I comment out the line:
/*temp_grid[id*interv+bin]+=1.0;*/

Processing time drops from 140.7ms to 1ms.  The time spent in the binning 
kernel goes from 139.9 to .17ms.  That write into the global memory is taking 
all the time in the process.

-----Original Message-----
From: Francisco Villaescusa Navarro [mailto:[email protected]]
Sent: Wednesday, April 11, 2012 3:33 AM
To: Pazzula, Dominic J [ICG-IT]
Cc: 'Francisco Villaescusa Navarro'; 'Thomas Wiecki'; '[email protected]'
Subject: Re: [PyCUDA] Histograms with PyCUDA

Hi,

Thanks for checking it.

I'm not sure to fully understand your comment. The matrix temp_grid is
a matrix of size (threads, intervals). The thread 0 will create an
histogram and will save it on the first column of that matrix, the
thread 1 will create an histogram and will save it on the second row
of that matrix....

Once you have the matrix filled, the reduction part will just sum all
the histograms to produce the final result.

So I think there is no memory conflict between different threads (the
elements filled by one thread are never touched by other threads).

Are you saying that accessing those positions of memory every time, in
the same thread is a low step?

Thanks a lot,

Fran.

El 10/04/2012, a las 22:04, Pazzula, Dominic J escribió:

> I'm seeing performance of around a 7.5x speed up on my 8500GT and 1
> year old Xeon.  140ms GPU vs 1047ms CPU on 10,000,000 points.
>
> For me, the slower memory throughput kills the idea of using MKL and
> numpy for the reduction.  MKL can do the reduction step in less
> than .01ms and the GPU is doing it in .9ms.  But the transfer time
> of that 2MB (512x1024 floats) is about 2ms, giving the GPU the edge.
>
> I am guessing here, but my thought on the slower than expected
> performance comes from the writing of the bins.
>
>        temp_grid[id*interv+bin]+=1.0;
>
> If I am remembering correctly, the GPU cannot write to the same
> memory slot simultaneously.  If the memory is aligned such that
> bin=0 for each core is in the same slot, then if two cores were
> attempting to adjust the value in bin=0, it would take 2 cycles
> instead of 1.  10 writing means 10 cycles.  Etc.  Even if the memory
> is not aligned, you will be attempting to write to the same block a
> large number of times.
>
> Utilizing shared memory to temporarily hold the bin counts and then
> putting them into the global output matrix SHOULD increase your
> time.  If I have a chance, I'll work on it and post an updated kernel.
>
> Dominic
>
>
> -----Original Message-----
> From: [email protected] [mailto:[email protected]] On
> Behalf Of Francisco Villaescusa Navarro
> Sent: Friday, April 06, 2012 11:26 AM
> To: Thomas Wiecki
> Cc: [email protected]
> Subject: Re: [PyCUDA] Histograms with PyCUDA
>
> Thanks for all the suggestions!
>
> Regarding removing sqrt: it seems that the code only gains about ~1%,
> and you lose the capacity to easily define linear intervals...
>
> I have tried with sqrt and sqrtf, but there is not difference in the
> total time (or it is very small).
>
> The code to find the histogram of an array with values between 0 and 1
> should be something as:
>
> import numpy as np
> import time
> import pycuda.driver as cuda
> import pycuda.autoinit
> import pycuda.gpuarray as gpuarray
> import pycuda.cumath as cumath
> from pycuda.compiler import SourceModule
> from pycuda import compiler
>
> grid_gpu_template = """
> __global__ void grid(float *values, int size, float *temp_grid)
> {
>     unsigned int id = threadIdx.x;
>     int i,bin;
>     const uint interv = %(interv)s;
>
>     for(i=id;i<size;i+=blockDim.x){
>         bin=(int)(values[i]*interv);
>         if (bin==interv){
>            bin=interv-1;
>         }
>         temp_grid[id*interv+bin]+=1.0;
>     }
> }
> """
>
> reduction_gpu_template = """
> __global__ void reduction(float *temp_grid, float *his)
> {
>     unsigned int id = blockIdx.x*blockDim.x+threadIdx.x;
>     const uint interv = %(interv)s;
>     const uint threads = %(max_number_of_threads)s;
>
>     if(id<interv){
>         for(int i=0;i<threads;i++){
>             his[id]+=temp_grid[id+interv*i];
>         }
>     }
> }
> """
>
> number_of_points=100000000
> max_number_of_threads=512
> interv=1024
>
> blocks=interv/max_number_of_threads
> if interv%max_number_of_threads!=0:
>     blocks+=1
>
> values=np.random.random(number_of_points).astype(np.float32)
>
> grid_gpu = grid_gpu_template % {
>     'interv': interv,
> }
> mod_grid = compiler.SourceModule(grid_gpu)
> grid = mod_grid.get_function("grid")
>
> reduction_gpu = reduction_gpu_template % {
>     'interv': interv,
>     'max_number_of_threads': max_number_of_threads,
> }
> mod_redt = compiler.SourceModule(reduction_gpu)
> redt = mod_redt.get_function("reduction")
>
> values_gpu=gpuarray.to_gpu(values)
> temp_grid_gpu
> =gpuarray.zeros((max_number_of_threads,interv),dtype=np.float32)
> hist=np.zeros(interv,dtype=np.float32)
> hist_gpu=gpuarray.to_gpu(hist)
>
> start=time.clock()*1e3
> grid
> (values_gpu
> ,np
> .int32
> (number_of_points
> ),temp_grid_gpu,grid=(1,1),block=(max_number_of_threads,1,1))
> redt(temp_grid_gpu,hist_gpu,grid=(blocks,
> 1),block=(max_number_of_threads,1,1))
> hist=hist_gpu.get()
> print 'Time used to grid with GPU:',time.clock()*1e3-start,' ms'
>
>
> start=time.clock()*1e3
> bins_histo=np.linspace(0.0,1.0,interv+1)
> hist_CPU=np.histogram(values,bins=bins_histo)[0]
> print 'Time used to grid with CPU:',time.clock()*1e3-start,' ms'
>
> print 'max difference between methods=',np.max(hist_CPU-hist)
>
>
> ################
>
> Results:
>
> Time used to grid with GPU: 680.0  ms
> Time used to grid with CPU: 9320.0  ms
> max difference between methods= 0.0
>
> So it seems that with this algorithm we can't achieve factors larger
> than ~15
>
> Fran.
>
>
>
> _______________________________________________
> PyCUDA mailing list
> [email protected]
> http://lists.tiker.net/listinfo/pycuda


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