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#define BZ_DISABLE_RESTRICT
#define BZ_ARRAY_2D_NEW_STENCIL_TILING
#include <blitz/array.h>
#include <blitz/timer.h>
#ifdef BZ_HAVE_STD
#include <fstream>
#else
#include <fstream.h>
#endif
BZ_USING_NAMESPACE(blitz)
#if defined(BZ_FORTRAN_SYMBOLS_WITH_TRAILING_UNDERSCORES)
#define echo_f90 echo_f90_
#define echo_f77 echo_f77_
#define echo_f90_tuned echo_f90_tuned_
#define echo_f77tuned echo_f77tuned_
#elif defined(BZ_FORTRAN_SYMBOLS_WITH_DOUBLE_TRAILING_UNDERSCORES)
#define echo_f90 echo_f90__
#define echo_f77 echo_f77__
#define echo_f90_tuned echo_f90_tuned__
#define echo_f77tuned echo_f77tuned__
#elif defined(BZ_FORTRAN_SYMBOLS_CAPS)
#define echo_f90 ECHO_F90
#define echo_f77 ECHO_F77
#define echo_f90_tuned ECHO_F90_TUNED
#define echo_f77tuned ECHO_F77TUNED
#endif
extern "C" {
void echo_f90(int& N, int& niters, float& check);
void echo_f77(int& N, int& niters, float& check);
void echo_f90_tuned(int& N, int& niters, float& check);
void echo_f77tuned(int& N, int& niters, float& check);
}
float echo_BlitzInterlacedCycled(int N, int niters);
float echo_BlitzCycled(int N, int niters);
float echo_BlitzRaw(int N, int niters);
float echo_BlitzStencil(int N, int niters);
int main()
{
Timer timer;
int N = 650;
int niters = 60;
float check;
cout << "Acoustic 2D Benchmark" << endl << endl;
double Mflops = (N-2)*(N-2) * 9.0 * niters / 1.0e+6;
timer.start();
check = echo_BlitzRaw(N, niters);
timer.stop();
cout << "Blitz++ (raw): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
timer.start();
check = echo_BlitzStencil(N, niters);
timer.stop();
cout << "Blitz++ (stencil): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
#if 0
timer.start();
check = echo_BlitzInterlaced(N, niters, c);
timer.stop();
cout << "Blitz++ (interlaced): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
#endif
timer.start();
check = echo_BlitzCycled(N, niters);
timer.stop();
cout << "Blitz++ (cycled): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
timer.start();
check = echo_BlitzInterlacedCycled(N, niters);
timer.stop();
cout << "Blitz++ (interlaced & cycled): " << timer.elapsedSeconds()
<< " s check = " << check
<< " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
#ifdef FORTRAN_90
timer.start();
echo_f90(N, niters, check);
timer.stop();
cout << "Fortran 90: " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
timer.start();
echo_f90_tuned(N, niters, check);
timer.stop();
cout << "Fortran 90 (tuned): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
#endif
timer.start();
echo_f77(N, niters, check);
timer.stop();
cout << "Fortran 77: " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
timer.start();
echo_f77tuned(N, niters, check);
timer.stop();
cout << "Fortran 77 (tuned): " << timer.elapsedSeconds() << " s check = "
<< check << " Mflops = " << (Mflops/timer.elapsedSeconds())
<< endl << endl;
return 0;
}
void checkArray(Array<float,2>& A, int N)
{
float check = 0.0;
for (int i=0; i < N; ++i)
for (int j=0; j < N; ++j)
check += ((i+1)*N + j + 1) * A(i,j);
cout << "Array check: " << check << endl;
}
void setInitialConditions(Array<float,2>& c, Array<float,2>& P1,
Array<float,2>& P2, Array<float,2>& P3, int N);
float echo_BlitzRaw(int N, int niters)
{
Array<float,2> P1(N,N), P2(N,N), P3(N,N), c(N,N);
Range I(1,N-2), J(1,N-2);
setInitialConditions(c, P1, P2, P3, N);
checkArray(P2, N);
checkArray(c, N);
for (int iter=0; iter < niters; ++iter)
{
P3(I,J) = (2-4*c(I,J)) * P2(I,J)
+ c(I,J)*(P2(I-1,J) + P2(I+1,J) + P2(I,J-1) + P2(I,J+1))
- P1(I,J);
P1 = P2;
P2 = P3;
}
#if 0
ofstream ofs("testecho.m");
ofs << "A = [";
for (int i=0; i < N; ++i)
{
for (int j=0; j < N; ++j)
{
ofs << int(8192*P2(i,j)+1024*c(i,j)) << " ";
}
if (i < N-1)
ofs << ";" << endl;
}
ofs << "];" << endl;
#endif
return P1(N/2-1,(7*N)/8-1);
}
float echo_BlitzCycled(int N, int niters)
{
Array<float,2> P1(N,N), P2(N,N), P3(N,N), c(N,N);
Range I(1,N-2), J(1,N-2);
setInitialConditions(c, P1, P2, P3, N);
checkArray(P2, N);
checkArray(c, N);
for (int iter=0; iter < niters; ++iter)
{
P3(I,J) = (2-4*c(I,J)) * P2(I,J)
+ c(I,J)*(P2(I-1,J) + P2(I+1,J) + P2(I,J-1) + P2(I,J+1))
- P1(I,J);
cycleArrays(P1,P2,P3);
}
return P1(N/2-1,(7*N)/8-1);
}
float echo_BlitzInterlacedCycled(int N, int niters)
{
Array<float,2> P1, P2, P3, c;
allocateArrays(shape(N,N), P1, P2, P3, c);
Range I(1,N-2), J(1,N-2);
setInitialConditions(c, P1, P2, P3, N);
checkArray(P2, N);
checkArray(c, N);
for (int iter=0; iter < niters; ++iter)
{
P3(I,J) = (2-4*c(I,J)) * P2(I,J)
+ c(I,J)*(P2(I-1,J) + P2(I+1,J) + P2(I,J-1) + P2(I,J+1))
- P1(I,J);
cycleArrays(P1,P2,P3);
}
return P1(N/2-1,(7*N)/8-1);
}
BZ_DECLARE_STENCIL4(acoustic2D,P1,P2,P3,c)
P3 = 2 * P2 + c * Laplacian2D(P2) - P1;
BZ_STENCIL_END
float echo_BlitzStencil(int N, int niters)
{
Array<float,2> P1, P2, P3, c;
allocateArrays(shape(N,N), P1, P2, P3, c);
setInitialConditions(c, P1, P2, P3, N);
checkArray(P2, N);
checkArray(c, N);
for (int iter=0; iter < niters; ++iter)
{
applyStencil(acoustic2D(), P1, P2, P3, c);
cycleArrays(P1,P2,P3);
}
return P1(N/2-1,(7*N)/8-1);
}
void setInitialConditions(Array<float,2>& c, Array<float,2>& P1,
Array<float,2>& P2, Array<float,2>& P3, int N)
{
// Set the velocity field
c = 0.2;
// Solid block with which the pulse collides
int blockLeft = 0;
int blockRight = int(2*N/5.0-1);
int blockTop = int(N/3-1);
int blockBottom = int(2*N/3.0-1);
c(Range(blockTop,blockBottom),Range(blockLeft,blockRight)) = 0.5;
// Channel directing the pulse leftwards
int channelLeft = int(4*N/5.0-1);
int channelRight = N-1;
int channel1Height = int(3*N/8.0-1);
int channel2Height = int(5*N/8.0-1);
c(channel1Height,Range(channelLeft,channelRight)) = 0.0;
c(channel2Height,Range(channelLeft,channelRight)) = 0.0;
// Initial pressure distribution: gaussian pulse inside the channel
BZ_USING_NAMESPACE(blitz::tensor)
int cr = int(N/2-1);
int cc = int(7.0*N/8.0-1);
float s2 = 64.0 * 9.0 / pow2(N/2.0);
cout << "cr = " << cr << " cc = " << cc << " s2 = " << s2 << endl;
P1 = 0.0;
P2 = exp(-(pow2(i-cr)+pow2(j-cc)) * s2);
P3 = 0.0;
}
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