nullspace.cpp

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#include "cutlass_unit_test.h"

#include <cutlass/trace.h>
#include <iostream>

#include <cute/tensor.hpp>

using namespace cute;

template <class Layout, class KerLayout>
void
test_postconditions(Layout const& layout, KerLayout const& ker_layout)
{
  EXPECT_EQ(size(ker_layout), size(layout) / size(filter(layout)));

  for (int i = 0; i < size(ker_layout); ++i) {
    //printf("%3d: %3d  %3d\n", i, int(ker_layout(i)), int(layout(ker_layout(i))));
    EXPECT_EQ(layout(ker_layout(i)), 0);
  }
}

template <class Layout>
void
test_nullspace(Layout const& layout)
{
  auto ker_layout = nullspace(layout);

  CUTLASS_TRACE_HOST("ker(" << layout << ")\n" << "  =>  \n" << ker_layout);
  CUTLASS_TRACE_HOST("Composition: " << coalesce(composition(layout, ker_layout)) << std::endl);

  test_postconditions(layout, ker_layout);
}

TEST(CuTe_core, Layout_nullspace)
{
  CUTLASS_TRACE_HOST("-------------------------------");
  CUTLASS_TRACE_HOST("NULLSPACE"                      );
  CUTLASS_TRACE_HOST("-------------------------------");

  {
    auto layout = Layout<Shape<_2,_2,_2>,Stride<_0,_0,_0>>{};

    test_nullspace(layout);
  }

  {
    auto layout = Layout<Shape<_7,_5,_16>,Stride<_0,_0,_0>>{};

    test_nullspace(layout);
  }

  {
    auto layout = Layout<Shape<_2,_2,_2>,Stride<_1,_0,_2>>{};

    test_nullspace(layout);
  }

  {
    auto layout = Layout<Shape<_7,_5,_16>,Stride<_3,_1,_0>>{};

    test_nullspace(layout);
  }
}