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#include "testsuite.h"
#include <blitz/array.h>
#include <blitz/array.cc>
#include <blitz/array/stencil-et.h>
#include <blitz/array/stencilops.h>
#include <blitz/array/stencil-et-macros.h>
//#include <blitz/tinyvec-et.h>
//#include <blitz/matrix.h>
//#include <blitz/tinymatexpr.h>
#include <random/uniform.h>
using namespace blitz;
// Tests that the various stencil operators work with
// expressions. Does NOT test that the stencils produce the correct
// output, only that they compile and that the output is consistent
// between different identical expressions.
typedef blitz::Array<double,1> array_1;
typedef blitz::Array<double,2> array_2;
typedef blitz::Array<double,3> array_3;
typedef Array<TinyVector<double, 2>, 2> array_2v;
typedef Array<TinyMatrix<double, 2, 2>, 2> array_2m;
typedef Array<TinyVector<double, 3>, 3> array_3v;
typedef Array<TinyMatrix<double, 3, 3>, 3> array_3m;
// test with functors
class doubler {
public:
double operator()(double x) const {return 2.0*x;}
BZ_DECLARE_FUNCTOR(doubler);
};
class multiplier {
public:
double operator()(double a, double b) const {return a*b;}
BZ_DECLARE_FUNCTOR2(multiplier);
};
/*
// Test two expressions for equality
template<typename T1, typename T2>
void test_expr(const T1& d1, const T2& d2)
{
BZTEST(all(d1==d2));
}
*/
#define test_expr(d1,d2) BZTEST(all((d1)==(d2)));
// Test two vector expressions for equality
template<typename T1, typename T2>
void test_vexpr(const T1& d1, const T2& d2)
{
Array<typename T1::T_numtype, T1::rank_> a(d1),b(d2);
for(int i=0; i<T1::T_numtype::numElements(); ++i)
BZTEST(all(a[i]==b[i]));
}
// Test two matrix expressions for equality
template<typename T1, typename T2>
void test_mexpr(const T1& d1, const T2& d2)
{
// there appears to be no way to tell the size of a TinyMatrix... or to compare them.
// so for now we're happy just to have the call succeed.
}
BZ_DECLARE_DIFF(shifter) {
return A.shift(1,dim); }
BZ_ET_STENCIL_DIFF(shifter, 1,1)
int main()
{
// create some arrays to operate on
const int sz=5;
ranlib::Uniform<float> rnd;
rnd.seed(42);
array_3 field3(sz,sz+1,sz+2), result3(sz,sz+1,sz+2),
fx(field3.shape()), fy(field3.shape()), fz(field3.shape());
for(int i=0; i<field3.size();++i) {
field3.data()[i]=rnd.random();
fx.data()[i]=rnd.random();
fy.data()[i]=rnd.random();
fz.data()[i]=rnd.random();
}
array_2 field2(sz,sz+1), result2(field2.shape());
field2=sin(0.5*(tensor::i+2*tensor::j));
array_3v vfield3(field3.shape());
vfield3[0]=fx;
vfield3[1]=fy;
vfield3[2]=fz;
array_2v vfield2(sz,sz+1);
vfield2[0]=vfield3(Range::all(), Range::all(), 0)[0];
vfield2[1]=vfield3(Range::all(), Range::all(), 0)[1];
doubler doubleit;
multiplier multiplyit;
// Now apply "all" possible stencil types to arrays and expressions,
// as well as recursive applications
// defined with BZ_ET_STENCIL:
test_expr(Laplacian2D(field2), Laplacian2D(1.0*field2));
test_expr(Laplacian2D(field2), 1.0*Laplacian2D(field2));
test_expr(Laplacian2D(const_cast<const array_2&>(field2)),
Laplacian2D(1.0*field2));
test_expr(Laplacian2D(Laplacian2D(field2)),
Laplacian2D(Laplacian2D(1.0*field2)));
test_expr(Laplacian2D(Laplacian2D(field2)),
Laplacian2D(1.0*Laplacian2D(field2)));
test_expr(Laplacian2D(Laplacian2D(field2+field2)),
Laplacian2D(Laplacian2D(field2)+Laplacian2D(field2)));
test_expr(Laplacian2D(field3), Laplacian2D(1.0*field3));
// and some more complicated expressions and assignments
result2(_bz_shrinkDomain(result2.domain(),shape(-1,-1),shape(1,1))) =
Laplacian2D(where(field2>0.5,0.,1.));
test_expr(result2(_bz_shrinkDomain(result2.domain(),shape(-1,-1),shape(1,1))),
Laplacian2D(where(field2>0.5,0.,1.)));
test_expr(where(Laplacian2D(field2)>0.5,0.,1.),
where(Laplacian2D(2*field2)>1,0.,1.));
test_expr(where(Laplacian2D(field2)>0.5,
0.0*field2(_bz_shrinkDomain(result2.domain(),shape(-1,-1),shape(1,1))),
0.0*field2(_bz_shrinkDomain(result2.domain(),shape(-1,-1),shape(1,1)))+2.0),
2*where(Laplacian2D(2*field2)>1.0, 0., 1.));
test_expr(Laplacian2D(2.0*field2), Laplacian2D(doubleit(field2)));
test_expr(Laplacian2D(field2*field3(0,Range(0,sz-1), Range(1,sz+1))),
Laplacian2D(multiplyit(field2, field3(0,Range(0,sz-1), Range(1,sz+1)))));
// reductions of stencil results
{
array_2 temp(Laplacian2D(field2));
BZTEST(sum(temp) == sum(Laplacian2D(field2)));
test_expr(sum(temp, tensor::j), sum(Laplacian2D(field2), tensor::j));
}
{
array_3 temp(Laplacian2D(field3));
BZTEST(sum(temp) == sum(Laplacian2D(field3)));
test_expr(sum(temp, tensor::k), sum(Laplacian2D(field3), tensor::k));
}
// and expressions involving index remappings. we do these on arrays
// with different sizes in all dimensions to make it less likely we
// don't detect a screwup
test_expr(shifter(field2,firstDim),
shifter(field2(tensor::i, tensor::j),firstDim));
{
array_2 temp(field2(tensor::j, tensor::i));
test_expr(shifter(temp,firstDim),
shifter(field2(tensor::j, tensor::i),firstDim));
test_expr(shifter(temp,secondDim),
shifter(field2(tensor::j, tensor::i),secondDim));
}
test_expr(shifter(field3,firstDim),
shifter(field3(tensor::i, tensor::j, tensor::k),firstDim));
test_expr(shifter(field3,thirdDim),
shifter(field3(tensor::i, tensor::j, tensor::k),thirdDim));
{
array_3 temp(shifter(field3,thirdDim));
test_expr(temp(tensor::i, tensor::k, tensor::j),
shifter(field3(tensor::i, tensor::k, tensor::j),secondDim));
}
{
array_3 temp(Laplacian3D(field3));
test_expr(temp(tensor::k, tensor::i, tensor::j),
Laplacian3D(field3(tensor::k, tensor::i, tensor::j)));
}
{
array_3 temp(field3.shape());
temp=field3(tensor::i, tensor::j, tensor::k)*field2(tensor::i, tensor::j);
test_expr(Laplacian3D(temp),
Laplacian3D(field3(tensor::i, tensor::j, tensor::k)*
field2(tensor::i, tensor::j)));
test_expr(mixed22(temp, firstDim, secondDim),
mixed22(field3(tensor::i, tensor::j, tensor::k)*
field2(tensor::i, tensor::j), firstDim, secondDim));
}
/* index placeholders don't work
{ array_3 temp(field3.shape());
temp=100*tensor::k+10*tensor::j+tensor::i;
test_expr(Laplacian3D(temp), Laplacian3D(100*tensor::k+10*tensor::j+tensor::i));
}
*/
// defined with BZ_ET_STENCIL2:
test_expr(div(vfield2[0],vfield2[1]),
div(vfield2[0],1.0*vfield2[1]));
test_expr(div(vfield2[0],vfield2[1]),
div(1.0*vfield2[0],vfield2[1]));
test_expr(div(vfield2[0],vfield2[1]),
div(1.0*vfield2[0],1.0*vfield2[1]));
test_expr(div(vfield2[0],vfield2[1]),
div(1.0*vfield2[0],const_cast<const array_2v&>(vfield2)[1]));
test_expr(div(vfield2[0],vfield2[1]),
div(const_cast<const array_2v&>(vfield2)[0],
const_cast<const array_2v&>(vfield2)[1]));
// defined with BZ_ET_STENCILM.
test_mexpr(Jacobian3D(vfield3),
Jacobian3D(const_cast<const array_3v&>(vfield3)));
test_mexpr(Jacobian3D(vfield3),
Jacobian3D(1.0*vfield3));
test_mexpr(Jacobian3D(const_cast<const array_3v&>(vfield3)),
Jacobian3D(1.0*vfield3));
// defined with BZ_ET_STENCILV
test_vexpr(grad3D(field3),
grad3D(const_cast<const array_3&>(field3)));
test_vexpr(grad3D(field3),
grad3D(1.0*field3));
// defined with BZ_ET_STENCIL_SCA
test_expr(div2D(vfield2),
div2D(const_cast<const array_2v&>(vfield2)));
test_expr(div2D(vfield2),
div2D(1.0*vfield2));
// defined with BZ_ET_STENCIL_DIFF
test_expr(central12(field3, firstDim),
central12(const_cast<const array_3&>(field3), firstDim));
test_expr(central12(field3, firstDim),
central12(1.0*field3, firstDim));
result2(_bz_shrinkDomain(result2.domain(),shape(0,-1),shape(0,1))) =
central12(where(field2>0.5,0.,1.), secondDim);
test_expr(result2(_bz_shrinkDomain(result2.domain(),shape(0,-1),shape(0,1))),
central12(where(field2>0.5,0.,1.), secondDim));
test_expr(where(central12(field2,firstDim)>0.5,0.,1.),
where(central12(2*field2, firstDim)>1,0.,1.));
test_expr(where(central12(field2, firstDim)>0.5,
0.0*field2(_bz_shrinkDomain(field2.domain(),shape(-1,0),shape(1,0))),
0.0*field2(_bz_shrinkDomain(field2.domain(),shape(-1,0),shape(1,0)))+2.0),
2*where(central12(2*field2, firstDim)>1.0, 0., 1.));
test_expr(central12(sin(1.0*field3),thirdDim),
central12(1.0*sin(field3), thirdDim));
result2 = pow(field3(Range::all(), 1, Range(0,sz)), field2);
test_expr(central12(result2, secondDim),
central12(pow(field3(Range::all(), 1, Range(0,sz)), 1.0*field2), secondDim));
// defined with BZ_ET_STENCIL_MULTIDIFF
test_expr(central12(vfield3, firstDim, secondDim),
central12(const_cast<const array_3v&>(vfield3), firstDim, secondDim));
array_3v ee(1.0*vfield3);
test_expr(central12(vfield3, firstDim, secondDim),
central12(1.0*vfield3, firstDim, secondDim));
test_expr(where(central12(vfield2, firstDim, secondDim)>0.5,
0.0*field2(_bz_shrinkDomain(field2.domain(),shape(0,-1),shape(0,1))),
0.0*field2(_bz_shrinkDomain(field2.domain(),shape(0,-1),shape(0,1)))+2.0),
2*where(central12(2*vfield2, firstDim, secondDim)>1.0, 0., 1.));
// defined with BZ_ET_STENCIL_DIFF2
test_expr(mixed22(field3, firstDim, secondDim),
mixed22(const_cast<const array_3&>(field3), firstDim, secondDim));
test_expr(mixed22(field3, firstDim, secondDim),
mixed22(1.0*field3, firstDim, secondDim));
test_expr(where(mixed22(field3, thirdDim, secondDim)>0.5,
0.0*field3(_bz_shrinkDomain(field3.domain(),shape(0,-1,-1),shape(0,1,1))),
0.0*field3(_bz_shrinkDomain(field3.domain(),shape(0,-1,-1),shape(0,1,1)))+2.0),
2*where(mixed22(2*field3, thirdDim, secondDim)>1.0, 0., 1.));
return 0;
}
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