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// Array stencil benchmark
#include <blitz/array.h>
#include <blitz/traversal.h>
#include <blitz/benchext.h>
#include <blitz/rand-uniform.h>
#include <blitz/array/stencil-et.h>
BZ_USING_NAMESPACE(blitz)
#if defined(BZ_FORTRAN_SYMBOLS_WITH_TRAILING_UNDERSCORES)
#define stencilf stencilf_
#define stencilftiled stencilftiled_
#define stencilf90 stencilf90_
#elif defined(BZ_FORTRAN_SYMBOLS_CAPS)
#define stencilf STENCILF
#define stencilftiled STENCILFTILED
#define stencilf90 STENCILF90
#endif
extern "C" {
void stencilf(double* A, double* B, int& N, int& iters);
void stencilftiled(double* A, double* B, int& N, int& iters);
void stencilf90(double* A, double* B, int& N, int& iters);
}
#ifdef FORTRAN_90
void stencilFortran90Version(BenchmarkExt<int>& bench);
#endif
void stencilFortran77Version(BenchmarkExt<int>& bench);
void stencilFortran77VersionTiled(BenchmarkExt<int>& bench);
void stencilBlitzVersion(BenchmarkExt<int>& bench);
void stencilBlitzExpressionVersion(BenchmarkExt<int>& bench);
void stencilBlitzProductVersion(BenchmarkExt<int>& bench);
void stencilBlitzProductVersion2(BenchmarkExt<int>& bench);
void stencilBlitzProductVersion3(BenchmarkExt<int>& bench);
void stencilBlitzStencilVersion(BenchmarkExt<int>& bench);
void stencilBlitzIndexVersion(BenchmarkExt<int>& bench);
int main()
{
int numBenchmarks = 10;
#ifndef FORTRAN_90
numBenchmarks--; // No fortran 90
#endif
BenchmarkExt<int> bench("Array stencil", numBenchmarks);
const int numSizes = 28;
bench.setNumParameters(numSizes);
bench.setRateDescription("Mflops/s");
Vector<int> parameters(numSizes);
Vector<long> iters(numSizes);
Vector<double> flops(numSizes);
for (int i=0; i < numSizes; ++i)
{
parameters[i] = (i+1) * 8;
iters[i] = 32*8*8*8/(i+1)/(i+1)/(i+1)/4;
if (iters[i] < 2)
iters[i] = 2;
int npoints = parameters[i] - 2;
flops[i] = npoints * npoints * npoints * 7 * 2;
}
bench.setParameterVector(parameters);
bench.setIterations(iters);
bench.setOpsPerIteration(flops);
bench.beginBenchmarking();
#ifdef FORTRAN_90
stencilFortran90Version(bench);
#endif
stencilBlitzVersion(bench);
stencilBlitzStencilVersion(bench);
stencilBlitzExpressionVersion(bench);
stencilBlitzProductVersion(bench);
stencilBlitzProductVersion2(bench);
stencilBlitzProductVersion3(bench);
stencilBlitzIndexVersion(bench);
stencilFortran77Version(bench);
stencilFortran77VersionTiled(bench);
bench.endBenchmarking();
bench.saveMatlabGraph("stencil.m","plot");
return 0;
}
void initializeRandomDouble(double* data, int numElements, int stride = 1)
{
static Random<Uniform> rnd;
for (int i=0; i < numElements; ++i)
data[i*stride] = rnd.random();
}
void stencilBlitzVersion(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ Range Expr");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
A(I,J,K) = c * (B(I,J,K) + B(I+1,J,K) + B(I-1,J,K) + B(I,J+1,K)
+ B(I,J-1,K) + B(I,J,K+1) + B(I,J,K-1));
B(I,J,K) = c * (A(I,J,K) + A(I+1,J,K) + A(I-1,J,K) + A(I,J+1,K)
+ A(I,J-1,K) + A(I,J,K+1) + A(I,J,K-1));
}
bench.stop();
}
bench.endImplementation();
}
BZ_DECLARE_STENCIL_OPERATOR1(test1,B)
return (1./7) * ( (*B) + B.shift(1,0) + B.shift(-1,0) + B.shift(1,1)
+ B.shift(-1,1) + B.shift(1,2) + B.shift(-1,2));
BZ_END_STENCIL_OPERATOR
BZ_ET_STENCIL(test1, double, double,shape(-1,-1,-1),shape(1,1,1))
BZ_DECLARE_STENCIL2(test1stencil,A,B)
A=test1(B);
BZ_END_STENCIL_WITH_SHAPE(shape(-1,-1,-1),shape(1,1,1))
void stencilBlitzExpressionVersion(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ StencilOp");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Stencil Operator: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
A(I,J,K) = test1(B);
B(I,J,K) = test1(A);
}
bench.stop();
}
bench.endImplementation();
}
void stencilBlitzProductVersion(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ product");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Stencil Operator on product: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N),C(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
C=B*B;
A(I,J,K) = test1(C);
C=A*A;
B(I,J,K) = test1(C);
}
bench.stop();
}
bench.endImplementation();
}
void stencilBlitzProductVersion2(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ product w alloc");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Stencil Operator on product: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
{
Array<double,3>C(B*B);
A(I,J,K) = test1(C);
}
{
Array<double,3>C(A*A);
B(I,J,K) = test1(C);
}
}
bench.stop();
}
bench.endImplementation();
}
void stencilBlitzProductVersion3(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ product expr");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Stencil Operator on product expr: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
A(I,J,K) = test1(B*B);
B(I,J,K) = test1(A*A);
}
bench.stop();
}
bench.endImplementation();
}
void stencilBlitzIndexVersion(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ Indexed StencilOp");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Indexed Stencil Operator: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
A(I,J,K) = test1(B(tensor::i, tensor::j, tensor::k));
B(I,J,K) = test1(A(tensor::i, tensor::j, tensor::k));
}
bench.stop();
}
bench.endImplementation();
}
void stencilBlitzStencilVersion(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Blitz++ Stencil");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Blitz++ Stencil: N = " << N << endl;
cout.flush();
long iters = bench.getIterations();
Array<double,3> A(N,N,N), B(N,N,N);
initializeRandomDouble(A.data(), N*N*N, A.stride(thirdDim));
initializeRandomDouble(B.data(), N*N*N, B.stride(thirdDim));
TinyVector<int,2> size = N-2;
generateFastTraversalOrder(size);
double c = 1/7.;
; bench.start();
for (long i=0; i < iters; ++i)
{
Range I(1,N-2), J(1,N-2), K(1,N-2);
applyStencil(test1stencil(),A,B);
applyStencil(test1stencil(),B,A);
}
bench.stop();
}
bench.endImplementation();
}
void stencilFortran77Version(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Fortran 77");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Fortran 77: N = " << N << endl;
cout.flush();
int iters = (int)bench.getIterations();
size_t arraySize = size_t(N) * size_t(N) * N;
double* A = new double[arraySize];
double* B = new double[arraySize];
initializeRandomDouble(A, arraySize);
initializeRandomDouble(B, arraySize);
bench.start();
stencilf(A, B, N, iters);
bench.stop();
delete [] A;
delete [] B;
}
bench.endImplementation();
}
void stencilFortran77VersionTiled(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Fortran 77 (tiled)");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Fortran 77: N = " << N << endl;
cout.flush();
int iters = (int)bench.getIterations();
size_t arraySize = size_t(N) * size_t(N) * N;
double* A = new double[arraySize];
double* B = new double[arraySize];
initializeRandomDouble(A, arraySize);
initializeRandomDouble(B, arraySize);
bench.start();
stencilftiled(A, B, N, iters);
bench.stop();
delete [] A;
delete [] B;
}
bench.endImplementation();
}
#ifdef FORTRAN_90
void stencilFortran90Version(BenchmarkExt<int>& bench)
{
bench.beginImplementation("Fortran 90");
while (!bench.doneImplementationBenchmark())
{
int N = bench.getParameter();
cout << "Fortran 90: N = " << N << endl;
cout.flush();
int iters = (int)bench.getIterations();
size_t arraySize = size_t(N) * size_t(N) * N;
double* A = new double[arraySize];
double* B = new double[arraySize];
initializeRandomDouble(A, arraySize);
initializeRandomDouble(B, arraySize);
bench.start();
stencilf90(A, B, N, iters);
bench.stop();
delete [] A;
delete [] B;
}
bench.endImplementation();
}
#endif
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