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add test for normalize() and normalized()
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@ -65,15 +65,23 @@ template<typename MatrixType> void adjoint(const MatrixType& m)
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// check basic properties of dot, norm, norm2
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// check basic properties of dot, norm, norm2
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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RealScalar ref = NumTraits<Scalar>::IsInteger ? 0 : std::max((s1 * v1 + s2 * v2).norm(),v3.norm());
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RealScalar ref = NumTraits<Scalar>::IsInteger ? RealScalar(0) : std::max((s1 * v1 + s2 * v2).norm(),v3.norm());
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VERIFY(test_isApproxWithRef((s1 * v1 + s2 * v2).dot(v3), internal::conj(s1) * v1.dot(v3) + internal::conj(s2) * v2.dot(v3), ref));
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VERIFY(test_isApproxWithRef((s1 * v1 + s2 * v2).dot(v3), internal::conj(s1) * v1.dot(v3) + internal::conj(s2) * v2.dot(v3), ref));
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VERIFY(test_isApproxWithRef(v3.dot(s1 * v1 + s2 * v2), s1*v3.dot(v1)+s2*v3.dot(v2), ref));
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VERIFY(test_isApproxWithRef(v3.dot(s1 * v1 + s2 * v2), s1*v3.dot(v1)+s2*v3.dot(v2), ref));
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VERIFY_IS_APPROX(internal::conj(v1.dot(v2)), v2.dot(v1));
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VERIFY_IS_APPROX(internal::conj(v1.dot(v2)), v2.dot(v1));
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VERIFY_IS_APPROX(internal::real(v1.dot(v1)), v1.squaredNorm());
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VERIFY_IS_APPROX(internal::real(v1.dot(v1)), v1.squaredNorm());
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if(!NumTraits<Scalar>::IsInteger)
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if(!NumTraits<Scalar>::IsInteger) {
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VERIFY_IS_APPROX(v1.squaredNorm(), v1.norm() * v1.norm());
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VERIFY_IS_APPROX(v1.squaredNorm(), v1.norm() * v1.norm());
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// check normalized() and normalize()
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VERIFY_IS_APPROX(v1, v1.norm() * v1.normalized());
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// normalize() returns a reference to *this
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v3 = v1;
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VERIFY_IS_APPROX(v1, v1.norm() * v3.normalize());
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VERIFY_IS_APPROX(v3, v1.normalized());
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VERIFY_IS_APPROX(v3.norm(), RealScalar(1));
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}
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VERIFY_IS_MUCH_SMALLER_THAN(internal::abs(vzero.dot(v1)), static_cast<RealScalar>(1));
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VERIFY_IS_MUCH_SMALLER_THAN(internal::abs(vzero.dot(v1)), static_cast<RealScalar>(1));
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// check compatibility of dot and adjoint
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// check compatibility of dot and adjoint
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ref = NumTraits<Scalar>::IsInteger ? 0 : std::max(std::max(v1.norm(),v2.norm()),std::max((square * v2).norm(),(square.adjoint() * v1).norm()));
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ref = NumTraits<Scalar>::IsInteger ? 0 : std::max(std::max(v1.norm(),v2.norm()),std::max((square * v2).norm(),(square.adjoint() * v1).norm()));
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