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MatrixFunctions: Clean up StemFunction.h
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@ -547,7 +547,7 @@ const MatrixFunctionReturnValue<Derived> MatrixBase<Derived>::sin() const
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{
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eigen_assert(rows() == cols());
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typedef typename internal::stem_function<Scalar>::ComplexScalar ComplexScalar;
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return MatrixFunctionReturnValue<Derived>(derived(), StdStemFunctions<ComplexScalar>::sin);
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return MatrixFunctionReturnValue<Derived>(derived(), internal::stem_function_sin<ComplexScalar>);
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}
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template <typename Derived>
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@ -555,7 +555,7 @@ const MatrixFunctionReturnValue<Derived> MatrixBase<Derived>::cos() const
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{
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eigen_assert(rows() == cols());
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typedef typename internal::stem_function<Scalar>::ComplexScalar ComplexScalar;
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return MatrixFunctionReturnValue<Derived>(derived(), StdStemFunctions<ComplexScalar>::cos);
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return MatrixFunctionReturnValue<Derived>(derived(), internal::stem_function_cos<ComplexScalar>);
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}
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template <typename Derived>
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@ -563,7 +563,7 @@ const MatrixFunctionReturnValue<Derived> MatrixBase<Derived>::sinh() const
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{
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eigen_assert(rows() == cols());
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typedef typename internal::stem_function<Scalar>::ComplexScalar ComplexScalar;
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return MatrixFunctionReturnValue<Derived>(derived(), StdStemFunctions<ComplexScalar>::sinh);
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return MatrixFunctionReturnValue<Derived>(derived(), internal::stem_function_sinh<ComplexScalar>);
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}
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template <typename Derived>
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@ -571,7 +571,7 @@ const MatrixFunctionReturnValue<Derived> MatrixBase<Derived>::cosh() const
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{
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eigen_assert(rows() == cols());
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typedef typename internal::stem_function<Scalar>::ComplexScalar ComplexScalar;
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return MatrixFunctionReturnValue<Derived>(derived(), StdStemFunctions<ComplexScalar>::cosh);
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return MatrixFunctionReturnValue<Derived>(derived(), internal::stem_function_cosh<ComplexScalar>);
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}
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} // end namespace Eigen
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@ -12,93 +12,105 @@
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namespace Eigen {
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/** \ingroup MatrixFunctions_Module
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* \brief Stem functions corresponding to standard mathematical functions.
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*/
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namespace internal {
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/** \brief The exponential function (and its derivatives). */
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template <typename Scalar>
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class StdStemFunctions : internal::noncopyable
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Scalar stem_function_exp(Scalar x, int)
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{
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public:
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using std::exp;
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return exp(x);
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}
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/** \brief The exponential function (and its derivatives). */
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static Scalar exp(Scalar x, int)
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{
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return std::exp(x);
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}
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/** \brief Cosine (and its derivatives). */
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template <typename Scalar>
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Scalar stem_function_cos(Scalar x, int n)
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{
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using std::cos;
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using std::sin;
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Scalar res;
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/** \brief Cosine (and its derivatives). */
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static Scalar cos(Scalar x, int n)
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{
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Scalar res;
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switch (n % 4) {
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case 0:
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res = std::cos(x);
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break;
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case 1:
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res = -std::sin(x);
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break;
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case 2:
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res = -std::cos(x);
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break;
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case 3:
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res = std::sin(x);
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break;
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}
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return res;
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}
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switch (n % 4) {
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case 0:
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res = std::cos(x);
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break;
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case 1:
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res = -std::sin(x);
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break;
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case 2:
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res = -std::cos(x);
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break;
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case 3:
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res = std::sin(x);
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break;
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}
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return res;
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}
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/** \brief Sine (and its derivatives). */
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static Scalar sin(Scalar x, int n)
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{
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Scalar res;
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switch (n % 4) {
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case 0:
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res = std::sin(x);
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break;
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case 1:
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res = std::cos(x);
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break;
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case 2:
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res = -std::sin(x);
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break;
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case 3:
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res = -std::cos(x);
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break;
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}
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return res;
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}
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/** \brief Sine (and its derivatives). */
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template <typename Scalar>
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Scalar stem_function_sin(Scalar x, int n)
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{
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using std::cos;
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using std::sin;
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Scalar res;
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/** \brief Hyperbolic cosine (and its derivatives). */
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static Scalar cosh(Scalar x, int n)
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{
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Scalar res;
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switch (n % 2) {
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case 0:
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res = std::cosh(x);
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break;
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case 1:
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res = std::sinh(x);
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break;
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}
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return res;
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}
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switch (n % 4) {
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case 0:
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res = std::sin(x);
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break;
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case 1:
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res = std::cos(x);
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break;
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case 2:
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res = -std::sin(x);
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break;
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case 3:
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res = -std::cos(x);
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break;
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}
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return res;
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}
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/** \brief Hyperbolic cosine (and its derivatives). */
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template <typename Scalar>
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Scalar stem_function_cosh(Scalar x, int n)
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{
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using std::cosh;
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using std::sinh;
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Scalar res;
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switch (n % 2) {
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case 0:
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res = std::cosh(x);
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break;
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case 1:
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res = std::sinh(x);
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break;
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}
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return res;
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}
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/** \brief Hyperbolic sine (and its derivatives). */
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static Scalar sinh(Scalar x, int n)
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{
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Scalar res;
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switch (n % 2) {
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case 0:
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res = std::sinh(x);
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break;
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case 1:
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res = std::cosh(x);
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break;
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}
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return res;
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}
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/** \brief Hyperbolic sine (and its derivatives). */
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template <typename Scalar>
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Scalar stem_function_sinh(Scalar x, int n)
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{
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using std::cosh;
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using std::sinh;
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Scalar res;
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switch (n % 2) {
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case 0:
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res = std::sinh(x);
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break;
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case 1:
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res = std::cosh(x);
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break;
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}
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return res;
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}
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}; // end of class StdStemFunctions
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} // end namespace internal
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} // end namespace Eigen
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@ -102,7 +102,7 @@ void testMatrixExponential(const MatrixType& A)
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef std::complex<RealScalar> ComplexScalar;
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VERIFY_IS_APPROX(A.exp(), A.matrixFunction(StdStemFunctions<ComplexScalar>::exp));
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VERIFY_IS_APPROX(A.exp(), A.matrixFunction(internal::stem_function_exp<ComplexScalar>));
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}
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template<typename MatrixType>
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