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bug #838: add unit test for fill-in in sparse outer product and fix abusive fill-in.
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@@ -98,28 +98,39 @@ template<typename SparseMatrixType> void sparse_product()
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Index r = internal::random<Index>(0,rows-1);
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Index c1 = internal::random<Index>(0,cols-1);
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Index r1 = internal::random<Index>(0,depth-1);
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DenseMatrix dm5 = DenseMatrix::Random(depth, cols);
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VERIFY_IS_APPROX( m4=m2.col(c)*refMat3.col(c1).transpose(), refMat4=refMat2.col(c)*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX( m4=m2.middleCols(c,1)*refMat3.col(c1).transpose(), refMat4=refMat2.col(c)*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX(dm4=m2.col(c)*refMat3.col(c1).transpose(), refMat4=refMat2.col(c)*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX( m4=m2.col(c)*dm5.col(c1).transpose(), refMat4=refMat2.col(c)*dm5.col(c1).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX( m4=m2.middleCols(c,1)*dm5.col(c1).transpose(), refMat4=refMat2.col(c)*dm5.col(c1).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=m2.col(c)*dm5.col(c1).transpose(), refMat4=refMat2.col(c)*dm5.col(c1).transpose());
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VERIFY_IS_APPROX(m4=refMat3.col(c1)*m2.col(c).transpose(), refMat4=refMat3.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_APPROX(m4=refMat3.col(c1)*m2.middleCols(c,1).transpose(), refMat4=refMat3.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_APPROX(dm4=refMat3.col(c1)*m2.col(c).transpose(), refMat4=refMat3.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_APPROX(m4=dm5.col(c1)*m2.col(c).transpose(), refMat4=dm5.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(m4=dm5.col(c1)*m2.middleCols(c,1).transpose(), refMat4=dm5.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=dm5.col(c1)*m2.col(c).transpose(), refMat4=dm5.col(c1)*refMat2.col(c).transpose());
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VERIFY_IS_APPROX( m4=refMat3.row(r1).transpose()*m2.col(c).transpose(), refMat4=refMat3.row(r1).transpose()*refMat2.col(c).transpose());
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VERIFY_IS_APPROX(dm4=refMat3.row(r1).transpose()*m2.col(c).transpose(), refMat4=refMat3.row(r1).transpose()*refMat2.col(c).transpose());
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VERIFY_IS_APPROX( m4=dm5.row(r1).transpose()*m2.col(c).transpose(), refMat4=dm5.row(r1).transpose()*refMat2.col(c).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=dm5.row(r1).transpose()*m2.col(c).transpose(), refMat4=dm5.row(r1).transpose()*refMat2.col(c).transpose());
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VERIFY_IS_APPROX( m4=m2.row(r).transpose()*refMat3.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX( m4=m2.middleRows(r,1).transpose()*refMat3.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX(dm4=m2.row(r).transpose()*refMat3.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*refMat3.col(c1).transpose());
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VERIFY_IS_APPROX( m4=m2.row(r).transpose()*dm5.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*dm5.col(c1).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX( m4=m2.middleRows(r,1).transpose()*dm5.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*dm5.col(c1).transpose());
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=m2.row(r).transpose()*dm5.col(c1).transpose(), refMat4=refMat2.row(r).transpose()*dm5.col(c1).transpose());
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VERIFY_IS_APPROX( m4=refMat3.col(c1)*m2.row(r), refMat4=refMat3.col(c1)*refMat2.row(r));
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VERIFY_IS_APPROX( m4=refMat3.col(c1)*m2.middleRows(r,1), refMat4=refMat3.col(c1)*refMat2.row(r));
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VERIFY_IS_APPROX(dm4=refMat3.col(c1)*m2.row(r), refMat4=refMat3.col(c1)*refMat2.row(r));
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VERIFY_IS_APPROX( m4=dm5.col(c1)*m2.row(r), refMat4=dm5.col(c1)*refMat2.row(r));
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX( m4=dm5.col(c1)*m2.middleRows(r,1), refMat4=dm5.col(c1)*refMat2.row(r));
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=dm5.col(c1)*m2.row(r), refMat4=dm5.col(c1)*refMat2.row(r));
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VERIFY_IS_APPROX( m4=refMat3.row(r1).transpose()*m2.row(r), refMat4=refMat3.row(r1).transpose()*refMat2.row(r));
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VERIFY_IS_APPROX(dm4=refMat3.row(r1).transpose()*m2.row(r), refMat4=refMat3.row(r1).transpose()*refMat2.row(r));
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VERIFY_IS_APPROX( m4=dm5.row(r1).transpose()*m2.row(r), refMat4=dm5.row(r1).transpose()*refMat2.row(r));
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VERIFY_IS_EQUAL(m4.nonZeros(), (refMat4.array()!=0).count());
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VERIFY_IS_APPROX(dm4=dm5.row(r1).transpose()*m2.row(r), refMat4=dm5.row(r1).transpose()*refMat2.row(r));
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}
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VERIFY_IS_APPROX(m6=m6*m6, refMat6=refMat6*refMat6);
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