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cppdraft_translate/cppdraft/linalg/algs/blas1/givens/rot.md
Leonov Artur (Depish) 043225d523 Init
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[linalg.algs.blas1.givens.rot]

29 Numerics library [numerics]

29.9 Basic linear algebra algorithms [linalg]

29.9.13 BLAS 1 algorithms [linalg.algs.blas1]

29.9.13.2 Givens rotations [linalg.algs.blas1.givens]

29.9.13.2.2 Apply a computed Givens rotation to vectors [linalg.algs.blas1.givens.rot]

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template<[inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec1, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec2, class Real> void apply_givens_rotation(InOutVec1 x, InOutVec2 y, Real c, Real s); template<class ExecutionPolicy, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec1, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec2, class Real> void apply_givens_rotation(ExecutionPolicy&& exec, InOutVec1 x, InOutVec2 y, Real c, Real s); template<[inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec1, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec2, class Real> void apply_givens_rotation(InOutVec1 x, InOutVec2 y, Real c, complex<Real> s); template<class ExecutionPolicy, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec1, [inout-vector](linalg.helpers.concepts#concept:inout-vector "29.9.7.5 Argument concepts [linalg.helpers.concepts]") InOutVec2, class Real> void apply_givens_rotation(ExecutionPolicy&& exec, InOutVec1 x, InOutVec2 y, Real c, complex<Real> s);

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[Note 1:

These functions correspond to the BLAS function xROT[bib].

— end note]

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Mandates: compatible-static-extents<InOutVec1, InOutVec2>(0, 0) is true.

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Preconditions: x.extent(0) equals y.extent(0).

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Effects: Applies the plane rotation specified by c and s to the input vectors x and y, as if the rotation were a 2 x 2 matrix and the input vectors were successive rows of a matrix with two rows.