Centre Blaise Pascal » Bench4GPU

#!/usr/bin/env python3

import numpy as np

import pyopencl as cl

from numpy import pi,cos,sin

# Naive Discrete Fourier Transform

def MyDFT(x,y):

    size=x.shape[0]

    X=np.zeros(size).astype(np.float32)

    Y=np.zeros(size).astype(np.float32)

    for i in range(size):

        for j in range(size):

            X[i]=X[i]+x[j]*cos(2.*pi*i*j/size)-y[j]*sin(2.*pi*i*j/size)

            Y[i]=Y[i]+x[j]*sin(2.*pi*i*j/size)+y[j]*cos(2.*pi*i*j/size)

    return(X,Y)

# Numpy Discrete Fourier Transform

def NumpyDFT(x,y):

    size=x.shape[0]

    X=np.zeros(size).astype(np.float32)

    Y=np.zeros(size).astype(np.float32)

    nj=np.multiply(2.0*np.pi/size,np.arange(size)).astype(np.float32)

    for i in range(size):

        X[i]=np.sum(np.subtract(np.multiply(np.cos(i*nj),x),np.multiply(np.sin(i*nj),y)))

        Y[i]=np.sum(np.add(np.multiply(np.sin(i*nj),x),np.multiply(np.cos(i*nj),y)))

    return(X,Y)

# Numba Discrete Fourier Transform

import numba

@numba.njit(parallel=True)

def NumbaDFT(x,y):

    size=x.shape[0]

    X=np.zeros(size).astype(np.float32)

    Y=np.zeros(size).astype(np.float32)

    nj=np.multiply(2.0*np.pi/size,np.arange(size)).astype(np.float32)

    for i in numba.prange(size):

        X[i]=np.sum(np.subtract(np.multiply(np.cos(i*nj),x),np.multiply(np.sin(i*nj),y)))

        Y[i]=np.sum(np.add(np.multiply(np.sin(i*nj),x),np.multiply(np.cos(i*nj),y)))

    return(X,Y)

# OpenCL complete operation

def OpenCLDFT(a_np,b_np):

    # Context creation

    ctx = cl.create_some_context()

    # Every process is stored in a queue

    queue = cl.CommandQueue(ctx)

    TimeIn=time.time()

    # Copy from Host to Device using pointers

    mf = cl.mem_flags

    a_g = cl.Buffer(ctx, mf.READ_ONLY | mf.COPY_HOST_PTR, hostbuf=a_np)

    b_g = cl.Buffer(ctx, mf.READ_ONLY | mf.COPY_HOST_PTR, hostbuf=b_np)

    Elapsed=time.time()-TimeIn

    print("Copy from Host 2 Device : %.3f" % Elapsed)

    TimeIn=time.time()

    # Definition of kernel under OpenCL

    prg = cl.Program(ctx, """

#define PI 3.141592653589793

__kernel void MyDFT(

    __global const float *a_g, __global const float *b_g, __global float *A_g, __global float *B_g)

{

  int gid = get_global_id(0);

  uint size = get_global_size(0);

  float A=0.,B=0.;

  for (uint i=0; i<size;i++)

  {

     A+=a_g[i]*cos(2.*PI*(float)(gid*i)/(float)size)-b_g[i]*sin(2.*PI*(float)(gid*i)/(float)size);

     B+=a_g[i]*sin(2.*PI*(float)(gid*i)/(float)size)+b_g[i]*cos(2.*PI*(float)(gid*i)/(float)size);

  }

  A_g[gid]=A;

  B_g[gid]=B;

}

""").build()

    Elapsed=time.time()-TimeIn

    print("Building kernels : %.3f" % Elapsed)

    TimeIn=time.time()

    # Memory allocation on Device for result

    A_ocl = np.empty_like(a_np)

    B_ocl = np.empty_like(a_np)

    Elapsed=time.time()-TimeIn

    print("Allocation on Host for results : %.3f" % Elapsed)

    A_g = cl.Buffer(ctx, mf.WRITE_ONLY, A_ocl.nbytes)

    B_g = cl.Buffer(ctx, mf.WRITE_ONLY, B_ocl.nbytes)

    Elapsed=time.time()-TimeIn

    print("Allocation on Device for results : %.3f" % Elapsed)

    TimeIn=time.time()

    # Synthesis of function "sillysum" inside Kernel Sources

    knl = prg.MyDFT  # Use this Kernel object for repeated calls

    Elapsed=time.time()-TimeIn

    print("Synthesis of kernel : %.3f" % Elapsed)

    TimeIn=time.time()

    # Call of kernel previously defined

    CallCL=knl(queue, a_np.shape, None, a_g, b_g, A_g, B_g)

    #

    CallCL.wait()

    Elapsed=time.time()-TimeIn

    print("Execution of kernel : %.3f" % Elapsed)

    TimeIn=time.time()

    # Copy from Device to Host

    cl.enqueue_copy(queue, A_ocl, A_g)

    cl.enqueue_copy(queue, B_ocl, B_g)

    Elapsed=time.time()-TimeIn

    print("Copy from Device 2 Host : %.3f" % Elapsed)

    # Liberation of memory

    a_g.release()

    b_g.release()

    A_g.release()

    B_g.release()

    return(A_ocl,B_ocl)

# CUDA Silly complete operation

def CUDADFT(a_np,b_np):

    import pycuda.autoinit

    import pycuda.driver as drv

    import numpy

    from pycuda.compiler import SourceModule

    TimeIn=time.time()

    mod = SourceModule("""

#define PI 3.141592653589793

__global__ void MyDFT(float *A_g, float *B_g, const float *a_g,const float *b_g)

{

  const int gid = blockIdx.x;

  uint size = gridDim.x;

  float A=0.,B=0.;

  for (uint i=0; i<size;i++)

  {

     A+=a_g[i]*cos(2.*PI*(float)(gid*i)/(float)size)-b_g[i]*sin(2.*PI*(float)(gid*i)/(float)size);

     B+=a_g[i]*sin(2.*PI*(float)(gid*i)/(float)size)+b_g[i]*cos(2.*PI*(float)(gid*i)/(float)size);

  }

  A_g[gid]=A;

  B_g[gid]=B;

}

""")

    Elapsed=time.time()-TimeIn

    print("Definition of kernel : %.3f" % Elapsed)

    TimeIn=time.time()

    MyDFT = mod.get_function("MyDFT")

    Elapsed=time.time()-TimeIn

    print("Synthesis of kernel : %.3f" % Elapsed)

    TimeIn=time.time()

    A_np = numpy.zeros_like(a_np)

    B_np = numpy.zeros_like(a_np)

    Elapsed=time.time()-TimeIn

    print("Allocation on Host for results : %.3f" % Elapsed)

    TimeIn=time.time()

    MyDFT(drv.Out(A_np), drv.Out(B_np), drv.In(a_np), drv.In(b_np),

          block=(1,1,1), grid=(a_np.size,1))

    Elapsed=time.time()-TimeIn

    print("Execution of kernel : %.3f" % Elapsed)

    return(A_np,B_np)

import sys

import time

if __name__=='__main__':

    # Size of input vectors definition based on stdin

    import sys

    try:

        SIZE=int(sys.argv[1])

        print("Size of vectors set to %i" % SIZE)

    except:

        SIZE=256

        print("Size of vectors set to default size %i" % SIZE)

    a_np = np.ones(SIZE).astype(np.float32)

    b_np = np.ones(SIZE).astype(np.float32)

    C_np = np.zeros(SIZE).astype(np.float32)

    D_np = np.zeros(SIZE).astype(np.float32)

    C_np[0] = np.float32(SIZE)

    D_np[0] = np.float32(SIZE)

    # # Native & Naive Implementation

    # print("Performing naive implementation")

    # TimeIn=time.time()

    # c_np,d_np=MyDFT(a_np,b_np)

    # NativeElapsed=time.time()-TimeIn

    # NativeRate=int(SIZE/NativeElapsed)

    # print("NativeRate: %i" % NativeRate)

    # print("Precision: ",np.linalg.norm(c_np-C_np),np.linalg.norm(d_np-D_np))

    # Native & Numpy Implementation

    print("Performing Numpy implementation")

    TimeIn=time.time()

    e_np,f_np=NumpyDFT(a_np,b_np)

    NumpyElapsed=time.time()-TimeIn

    NumpyRate=int(SIZE/NumpyElapsed)

    print("NumpyRate: %i" % NumpyRate)

    print("Precision: ",np.linalg.norm(e_np-C_np),np.linalg.norm(f_np-D_np))

    # Native & Numba Implementation

    print("Performing Numba implementation")

    TimeIn=time.time()

    g_np,h_np=NumbaDFT(a_np,b_np)

    NumbaElapsed=time.time()-TimeIn

    NumbaRate=int(SIZE/NumbaElapsed)

    print("NumbaRate: %i" % NumbaRate)

    print("Precision: ",np.linalg.norm(g_np-C_np),np.linalg.norm(h_np-D_np))

    # OpenCL Implementation

    print("Performing OpenCL implementation")

    TimeIn=time.time()

    i_np,j_np=OpenCLDFT(a_np,b_np)

    OpenCLElapsed=time.time()-TimeIn

    OpenCLRate=int(SIZE/OpenCLElapsed)

    print("OpenCLRate: %i" % OpenCLRate)

    print("Precision: ",np.linalg.norm(i_np-C_np),np.linalg.norm(j_np-D_np))

    # CUDA Implementation

    print("Performing CUDA implementation")

    TimeIn=time.time()

    k_np,l_np=CUDADFT(a_np,b_np)

    CUDAElapsed=time.time()-TimeIn

    CUDARate=int(SIZE/CUDAElapsed)

    print("CUDARate: %i" % CUDARate)

    print("Precision: ",np.linalg.norm(k_np-C_np),np.linalg.norm(l_np-D_np))