Centre Blaise Pascal » Bench4GPU

#!/usr/bin/env python3

# -*- coding: utf-8 -*-

"""

Demonstrateur OpenCL d'interaction NCorps

Emmanuel QUEMENER <emmanuel.quemener@ens-lyon.fr> CeCILLv2

"""

import getopt

import sys

import time

import numpy as np

import pyopencl as cl

import pyopencl.array as cl_array

from numpy.random import randint as nprnd

def DictionariesAPI():

    Marsaglia={'CONG':0,'SHR3':1,'MWC':2,'KISS':3}

    Computing={'FP32':0,'FP64':1}

    return(Marsaglia,Computing)

BlobOpenCL= """

#define znew  ((z=36969*(z&65535)+(z>>16))<<16)

#define wnew  ((w=18000*(w&65535)+(w>>16))&65535)

#define MWC   (znew+wnew)

#define SHR3  (jsr=(jsr=(jsr=jsr^(jsr<<17))^(jsr>>13))^(jsr<<5))

#define CONG  (jcong=69069*jcong+1234567)

#define KISS  ((MWC^CONG)+SHR3)

#define MWCfp MWC * 2.328306435454494e-10f

#define KISSfp KISS * 2.328306435454494e-10f

#define SHR3fp SHR3 * 2.328306435454494e-10f

#define CONGfp CONG * 2.328306435454494e-10f

#define TFP32 0

#define TFP64 1

#define LENGTH 1.

#define PI 3.14159265359

#define SMALL_NUM 0.000000001

#if TYPE == TFP32

#define MYFLOAT4 float4

#define MYFLOAT8 float8

#define MYFLOAT float

#else

#pragma OPENCL EXTENSION cl_khr_fp64: enable

#define MYFLOAT4 double4

#define MYFLOAT8 double8

#define MYFLOAT double

#endif

MYFLOAT4 Interaction(MYFLOAT4 m,MYFLOAT4 n)

{

    // return((n-m)/(MYFLOAT)pow(distance(n,m),2));

    return((n-m)/(MYFLOAT)pow(distance(n,m),2));

}

MYFLOAT PairPotential(MYFLOAT4 m,MYFLOAT4 n)

{

    return((MYFLOAT)-1./distance(n,m));

}

// Elements from : http://doswa.com/2009/01/02/fourth-order-runge-kutta-numerical-integration.html

MYFLOAT8 AtomicRungeKutta(__global MYFLOAT8* clDataIn,int gid,MYFLOAT dt)

{

    MYFLOAT4 x0=(MYFLOAT4)clDataIn[gid].lo;

    MYFLOAT4 v0=(MYFLOAT4)clDataIn[gid].hi;

    MYFLOAT4 a0=(MYFLOAT4)(0.,0.,0.,0.);

    int N = get_global_size(0);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a0+=Interaction(x0,clDataIn[i].lo);

    }

    MYFLOAT4 x1=x0+v0*(MYFLOAT)0.5*dt;

    MYFLOAT4 v1=v0+a0*(MYFLOAT)0.5*dt;

    MYFLOAT4 a1=(MYFLOAT4)(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a1+=Interaction(x1,clDataIn[i].lo);

    }

    MYFLOAT4 x2=x0+v1*(MYFLOAT)0.5*dt;

    MYFLOAT4 v2=v0+a1*(MYFLOAT)0.5*dt;

    MYFLOAT4 a2=(MYFLOAT4)(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a2+=Interaction(x2,clDataIn[i].lo);

    }

    MYFLOAT4 x3=x0+v2*dt;

    MYFLOAT4 v3=v0+a2*dt;

    MYFLOAT4 a3=(MYFLOAT)(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a3+=Interaction(x3,clDataIn[i].lo);

    }

    MYFLOAT4 xf=x0+dt*(v0+(MYFLOAT)2.*(v1+v2)+v3)/(MYFLOAT)6.;

    MYFLOAT4 vf=v0+dt*(a0+(MYFLOAT)2.*(a1+a2)+a3)/(MYFLOAT)6.;

    return((MYFLOAT8)(xf.s0,xf.s1,xf.s2,xf.s3,vf.s0,vf.s1,vf.s2,vf.s3));

}

// Elements from : http://doswa.com/2009/01/02/fourth-order-runge-kutta-numerical-integration.html

MYFLOAT8 AtomicRungeKutta2(__global MYFLOAT8* clDataIn,int gid,MYFLOAT dt)

{

    MYFLOAT4 x[4],v[4],a[4],xf,vf;

    int N=get_global_size(0);

    x[0]=clDataIn[gid].lo;

    v[0]=clDataIn[gid].hi;

    a[0]=(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a[0]+=Interaction(x[0],clDataIn[i].lo);

    }

    x[1]=x[0]+v[0]*(MYFLOAT)0.5*dt;

    v[1]=v[0]+a[0]*(MYFLOAT)0.5*dt;

    a[1]=(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a[1]+=Interaction(x[1],clDataIn[i].lo);

    }

    x[2]=x[0]+v[1]*(MYFLOAT)0.5*dt;

    v[2]=v[0]+a[1]*(MYFLOAT)0.5*dt;

    a[2]=(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a[2]+=Interaction(x[2],clDataIn[i].lo);

    }

    x[3]=x[0]+v[2]*dt;

    v[3]=v[0]+a[2]*dt;

    a[3]=(0.,0.,0.,0.);

    for (int i=0;i<N;i++)

    {

        if (gid != i)

        a[3]+=Interaction(x[3],clDataIn[i].lo);

    }

    xf=x[0]+dt*(v[0]+(MYFLOAT)2.*(v[1]+v[2])+v[3])/(MYFLOAT)6.;

    vf=v[0]+dt*(a[0]+(MYFLOAT)2.*(a[1]+a[2])+a[3])/(MYFLOAT)6.;

    return((MYFLOAT8)(xf.s0,xf.s1,xf.s2,xf.s3,vf.s0,vf.s1,vf.s2,vf.s3));

}

MYFLOAT8 AtomicEuler(__global MYFLOAT8* clDataIn,int gid,MYFLOAT dt)

{

    MYFLOAT4 x,v,a,xf,vf;

    x=clDataIn[gid].lo;

    v=clDataIn[gid].hi;

    a=(0.,0.,0.,0.);

    for (int i=0;i<get_global_size(0);i++)

    {

        if (gid != i)

        a+=Interaction(x,clDataIn[i].lo);

    }

    vf=v+dt*a;

    xf=x+dt*vf;

    return((MYFLOAT8)(xf.s0,xf.s1,xf.s2,xf.s3,vf.s0,vf.s1,vf.s2,vf.s3));

}

__kernel void SplutterPoints(__global MYFLOAT8* clData, MYFLOAT box, MYFLOAT velocity,

                               uint seed_z,uint seed_w)

{

    int gid = get_global_id(0);

    MYFLOAT N = (MYFLOAT) get_global_size(0);

    uint z=seed_z+(uint)gid;

    uint w=seed_w-(uint)gid;

    MYFLOAT theta=MWCfp*PI;

    MYFLOAT phi=MWCfp*PI*(MYFLOAT)2.;

    MYFLOAT sinTheta=sin(theta);

    clData[gid].s01234567 = (MYFLOAT8) (box*(MYFLOAT)(MWCfp-0.5),box*(MYFLOAT)(MWCfp-0.5),box*(MYFLOAT)(MWCfp-0.5),0.,0.,0.,0.,0.);

    MYFLOAT v=sqrt(N*(MYFLOAT)2./distance(clData[gid].lo,(MYFLOAT4) (0.,0.,0.,0.)));

    clData[gid].s4=v*sinTheta*cos(phi);

    clData[gid].s5=v*sinTheta*sin(phi);

    clData[gid].s6=v*cos(theta);

}

__kernel void RungeKutta(__global MYFLOAT8* clData,MYFLOAT h)

{

    int gid = get_global_id(0);

    MYFLOAT8 clDataGid=AtomicRungeKutta(clData,gid,h);

    barrier(CLK_GLOBAL_MEM_FENCE);

    clData[gid]=clDataGid;

}

__kernel void Euler(__global MYFLOAT8* clData,MYFLOAT h)

{

    int gid = get_global_id(0);

    MYFLOAT8 clDataGid=AtomicEuler(clData,gid,h);

    barrier(CLK_GLOBAL_MEM_FENCE);

    clData[gid]=clDataGid;

}

__kernel void Potential(__global MYFLOAT8* clData,__global MYFLOAT* clPotential)

{

    int gid = get_global_id(0);

    MYFLOAT potential=0.;

    MYFLOAT4 x=clData[gid].lo;

    for (int i=0;i<get_global_size(0);i++)

    {

        if (gid != i)

        potential+=PairPotential(x,clData[i].lo);

    }

    barrier(CLK_GLOBAL_MEM_FENCE);

    clPotential[gid]=(MYFLOAT)0.5*potential;

}

__kernel void Kinetic(__global MYFLOAT8* clData,__global MYFLOAT* clKinetic)

{

    int gid = get_global_id(0);

    clKinetic[gid]=(MYFLOAT)0.5*(pow(clData[gid].s4,2)+pow(clData[gid].s5,2)+pow(clData[gid].s6,2));

}

"""

def Energy(MyData):

    return(sum(pow(MyData,2)))

if __name__=='__main__':

    # ValueType

    ValueType='FP32'

    class MyFloat(np.float32):pass

    clType=cl_array.vec.float8

    # Set defaults values

    np.set_printoptions(precision=2)

    # Id of Device : 1 is for first find !

    Device=1

    # Iterations is integer

    Number=4

    # Size of box

    SizeOfBox=MyFloat(1.)

    # Initial velocity of particules

    Velocity=MyFloat(1.)

    # Redo the last process

    Iterations=100

    # Step

    Step=MyFloat(0.01)

    # Method of integration

    Method='RungeKutta'

    # InitialRandom

    InitialRandom=False

    # RNG Marsaglia Method

    RNG='MWC'

    # CheckEnergies

    CheckEnergies=False

    # Display samples in 3D

    GraphSamples=False

    HowToUse='%s -h [Help] -r [InitialRandom] -g [GraphSamples] -c [CheckEnergies] -d <DeviceId> -n <NumberOfParticules> -z <SizeOfBox> -v <Velocity> -s <Step> -i <Iterations> -m <RungeKutta|Euler> -t <FP32|FP64>'

    try:

        opts, args = getopt.getopt(sys.argv[1:],"rhgcd:n:z:v:i:s:m:t:",["random","graph","check","device=","number=","size=","velocity=","iterations=","step=","method=","valuetype="])

    except getopt.GetoptError:

        print(HowToUse % sys.argv[0])

        sys.exit(2)

    for opt, arg in opts:

        if opt == '-h':

            print(HowToUse % sys.argv[0])

            print("\nInformations about devices detected under OpenCL:")

            try:

                Id=0

                for platform in cl.get_platforms():

                    for device in platform.get_devices():

                        deviceType=cl.device_type.to_string(device.type)

                        print("Device #%i from %s of type %s : %s" % (Id,platform.vendor.lstrip(),deviceType,device.name.lstrip()))

                        Id=Id+1

                sys.exit()

            except ImportError:

                print("Your platform does not seem to support OpenCL")

                sys.exit()

        elif opt in ("-t", "--valuetype"):

            if arg=='FP64':

                class MyFloat(np.float64): pass

                clType=cl_array.vec.double8

            else:

                class MyFloat(np.float32):pass

                clType=cl_array.vec.float8

            ValueType = arg

        elif opt in ("-d", "--device"):

            Device=int(arg)

        elif opt in ("-m", "--method"):

            Method=arg

        elif opt in ("-n", "--number"):

            Number=int(arg)

        elif opt in ("-z", "--size"):

            SizeOfBox=MyFloat(arg)

        elif opt in ("-v", "--velocity"):

            Velocity=MyFloat(arg)

        elif opt in ("-s", "--step"):

            Step=MyFloat(arg)

        elif opt in ("-i", "--iterations"):

            Iterations=int(arg)

        elif opt in ("-r", "--random"):

            InitialRandom=True

        elif opt in ("-c", "--check"):

            CheckEnergies=True

        elif opt in ("-g", "--graph"):

            GraphSamples=True

    SizeOfBox=MyFloat(SizeOfBox)

    Velocity=MyFloat(Velocity)

    Step=MyFloat(Step)

    print("Device choosed : %s" % Device)

    print("Number of particules : %s" % Number)

    print("Size of Box : %s" % SizeOfBox)

    print("Initial velocity % s" % Velocity)

    print("Number of iterations % s" % Iterations)

    print("Step of iteration % s" % Step)

    print("Method of resolution % s" % Method)

    print("Initial Random for RNG Seed % s" % InitialRandom)

    print("Check for Energies % s" % CheckEnergies)

    print("Graph for Samples % s" % GraphSamples)

    print("ValueType is % s" % ValueType)

    # Create Numpy array of CL vector with 8 FP32

    MyData = np.zeros(Number, dtype=clType)

    MyPotential = np.zeros(Number, dtype=MyFloat)

    MyKinetic = np.zeros(Number, dtype=MyFloat)

    Marsaglia,Computing=DictionariesAPI()

    # Scan the OpenCL arrays

    Id=0

    HasXPU=False

    for platform in cl.get_platforms():

        for device in platform.get_devices():

            if Id==Device:

                PlatForm=platform

                XPU=device

                print("CPU/GPU selected: ",device.name.lstrip())

                HasXPU=True

            Id+=1

    if HasXPU==False:

        print("No XPU #%i found in all of %i devices, sorry..." % (Device,Id-1))

        sys.exit()

    # Create Context

    try:

        ctx = cl.Context([XPU])

        queue = cl.CommandQueue(ctx,properties=cl.command_queue_properties.PROFILING_ENABLE)

    except:

        print("Crash during context creation")

    print(Marsaglia[RNG],Computing[ValueType])

    # Build all routines used for the computing

    MyRoutines = cl.Program(ctx, BlobOpenCL).build(options = "-cl-mad-enable -cl-fast-relaxed-math -DTRNG=%i -DTYPE=%i" % (Marsaglia[RNG],Computing[ValueType]))

# Initial forced values for exploration

#    MyData[0][0]=np.float32(-1.)

#    MyData[0][1]=np.float32(0.)

#    MyData[0][5]=np.float32(1.)

#    MyData[1][0]=np.float32(1.)

#    MyData[1][1]=np.float32(0.)

#    MyData[1][5]=np.float32(-1.)

    mf = cl.mem_flags

    clData = cl.Buffer(ctx, mf.READ_WRITE, MyData.nbytes)

    clPotential = cl.Buffer(ctx, mf.READ_WRITE, MyPotential.nbytes)

    clKinetic = cl.Buffer(ctx, mf.READ_WRITE, MyKinetic.nbytes)

    #clData = cl.Buffer(ctx, mf.WRITE_ONLY|mf.COPY_HOST_PTR,hostbuf=MyData)

    print('All particles superimposed.')

    print(SizeOfBox.dtype)

    # Set particles to RNG points

    if InitialRandom:

        MyRoutines.SplutterPoints(queue,(Number,1),None,clData,SizeOfBox,Velocity,np.uint32(nprnd(2**32)),np.uint32(nprnd(2**32)))

    else:

        MyRoutines.SplutterPoints(queue,(Number,1),None,clData,SizeOfBox,Velocity,np.uint32(110271),np.uint32(250173))

    print('All particules distributed')

    CLLaunch=MyRoutines.Potential(queue,(Number,1),None,clData,clPotential)

    CLLaunch.wait()

    if CheckEnergies:

        cl.enqueue_copy(queue,MyPotential,clPotential)

        CLLaunch=MyRoutines.Kinetic(queue,(Number,1),None,clData,clKinetic)

        CLLaunch.wait()

        cl.enqueue_copy(queue,MyKinetic,clKinetic)

        # print(np.sum(MyPotential)+2*np.sum(MyKinetic),np.sum(MyPotential),np.sum(MyKinetic),MyPotential,MyKinetic)

        print(np.sum(MyPotential)+2*np.sum(MyKinetic),np.sum(MyPotential),np.sum(MyKinetic))

    if GraphSamples:

        cl.enqueue_copy(queue, MyData, clData)

        t0=np.array([[MyData[0][0],MyData[0][1],MyData[0][2]]])

        t1=np.array([[MyData[1][0],MyData[1][1],MyData[1][2]]])

        tL=np.array([[MyData[-1][0],MyData[-1][1],MyData[-1][2]]])

    time_start=time.time()

    for i in range(Iterations):

        if Method=="RungeKutta":

            CLLaunch=MyRoutines.RungeKutta(queue,(Number,1),None,clData,Step)

        else:

            CLLaunch=MyRoutines.Euler(queue,(Number,1),None,clData,Step)

        CLLaunch.wait()

        if CheckEnergies:

            CLLaunch=MyRoutines.Potential(queue,(Number,1),None,clData,clPotential)

            CLLaunch.wait()

            cl.enqueue_copy(queue,MyPotential,clPotential)

            CLLaunch=MyRoutines.Kinetic(queue,(Number,1),None,clData,clKinetic)

            CLLaunch.wait()

            cl.enqueue_copy(queue,MyKinetic,clKinetic)

            # print(np.sum(MyPotential)+2*np.sum(MyKinetic),np.sum(MyPotential),np.sum(MyKinetic),MyPotential,MyKinetic)

            print(np.sum(MyPotential)+2*np.sum(MyKinetic),np.sum(MyPotential),np.sum(MyKinetic))

        if GraphSamples:

            cl.enqueue_copy(queue, MyData, clData)

            t0=np.append(t0,[MyData[0][0],MyData[0][1],MyData[0][2]])

            t1=np.append(t1,[MyData[1][0],MyData[1][1],MyData[1][2]])

            tL=np.append(tL,[MyData[-1][0],MyData[-1][1],MyData[-1][2]])

    print("\nDuration on %s for each %s" % (Device,(time.time()-time_start)/Iterations))

    if GraphSamples:

        t0=np.transpose(np.reshape(t0,(Iterations+1,3)))

        t1=np.transpose(np.reshape(t1,(Iterations+1,3)))

        tL=np.transpose(np.reshape(tL,(Iterations+1,3)))

        import matplotlib.pyplot as plt

        from mpl_toolkits.mplot3d import Axes3D

        fig = plt.figure()

        ax = fig.gca(projection='3d')

        ax.scatter(t0[0],t0[1],t0[2], marker='^',color='blue')

        ax.scatter(t1[0],t1[1],t1[2], marker='o',color='red')

        ax.scatter(tL[0],tL[1],tL[2], marker='D',color='green')

        ax.set_xlabel('X Label')

        ax.set_ylabel('Y Label')

        ax.set_zlabel('Z Label')

        plt.show()

    clData.release()

    clKinetic.release()

    clPotential.release()