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authorGravatar Gael Guennebaud <g.gael@free.fr>2017-11-10 10:25:41 +0100
committerGravatar Gael Guennebaud <g.gael@free.fr>2017-11-10 10:25:41 +0100
commit0a1cc7394226c7439b586f5bac3e94cf287622f1 (patch)
tree43cad24097a97407e8b073259972efebac94a2d3 /unsupported/Eigen/src/MatrixFunctions
parentf86bb89d39e6611806c3b31719509e661120f3a1 (diff)
bug #1484: restore deleted line for 128 bits long doubles, and improve dispatching logic.
Diffstat (limited to 'unsupported/Eigen/src/MatrixFunctions')
-rw-r--r--unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h41
1 files changed, 25 insertions, 16 deletions
diff --git a/unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h b/unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h
index bb6d9e1fe..85ab3d97c 100644
--- a/unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h
+++ b/unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h
@@ -326,6 +326,7 @@ struct matrix_exp_computeUV<MatrixType, long double>
} else if (l1norm < 1.125358383453143065081397882891878e+000L) {
matrix_exp_pade13(arg, U, V);
} else {
+ const long double maxnorm = 2.884233277829519311757165057717815L;
frexp(l1norm / maxnorm, &squarings);
if (squarings < 0) squarings = 0;
MatrixType A = arg.unaryExpr(MatrixExponentialScalingOp<long double>(squarings));
@@ -342,6 +343,27 @@ struct matrix_exp_computeUV<MatrixType, long double>
}
};
+template<typename T> struct is_exp_known_type : false_type {};
+template<> struct is_exp_known_type<float> : true_type {};
+template<> struct is_exp_known_type<double> : true_type {};
+#if LDBL_MANT_DIG <= 112
+template<> struct is_exp_known_type<long double> : true_type {};
+#endif
+
+template <typename ArgType, typename ResultType>
+void matrix_exp_compute(const ArgType& arg, ResultType &result, true_type) // natively supported scalar type
+{
+ typedef typename ArgType::PlainObject MatrixType;
+ MatrixType U, V;
+ int squarings;
+ matrix_exp_computeUV<MatrixType>::run(arg, U, V, squarings); // Pade approximant is (U+V) / (-U+V)
+ MatrixType numer = U + V;
+ MatrixType denom = -U + V;
+ result = denom.partialPivLu().solve(numer);
+ for (int i=0; i<squarings; i++)
+ result *= result; // undo scaling by repeated squaring
+}
+
/* Computes the matrix exponential
*
@@ -349,26 +371,13 @@ struct matrix_exp_computeUV<MatrixType, long double>
* \param result variable in which result will be stored
*/
template <typename ArgType, typename ResultType>
-void matrix_exp_compute(const ArgType& arg, ResultType &result)
+void matrix_exp_compute(const ArgType& arg, ResultType &result, false_type) // default
{
typedef typename ArgType::PlainObject MatrixType;
-#if LDBL_MANT_DIG > 112 // rarely happens
typedef typename traits<MatrixType>::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef typename std::complex<RealScalar> ComplexScalar;
- if (sizeof(RealScalar) > 14) {
- result = arg.matrixFunction(internal::stem_function_exp<ComplexScalar>);
- return;
- }
-#endif
- MatrixType U, V;
- int squarings;
- matrix_exp_computeUV<MatrixType>::run(arg, U, V, squarings); // Pade approximant is (U+V) / (-U+V)
- MatrixType numer = U + V;
- MatrixType denom = -U + V;
- result = denom.partialPivLu().solve(numer);
- for (int i=0; i<squarings; i++)
- result *= result; // undo scaling by repeated squaring
+ result = arg.matrixFunction(internal::stem_function_exp<ComplexScalar>);
}
} // end namespace Eigen::internal
@@ -402,7 +411,7 @@ template<typename Derived> struct MatrixExponentialReturnValue
inline void evalTo(ResultType& result) const
{
const typename internal::nested_eval<Derived, 10>::type tmp(m_src);
- internal::matrix_exp_compute(tmp, result);
+ internal::matrix_exp_compute(tmp, result, internal::is_exp_known_type<typename Derived::Scalar>());
}
Index rows() const { return m_src.rows(); }