reduce.hpp File Reference

#include <batmat/linalg/elementwise.hpp>
#include <batmat/linalg/norms.hpp>

Go to the source code of this file.

Single-batch reduction operations
template<simdifiable Vx>
norms< simdified_value_t< Vx >, simdified_simd_t< Vx > >::result_simd	batmat::linalg::vnorms_all (Vx &&x)
	Compute the lane-wise norms (max, 1-norm, and 2-norm) of a batch of vectors.
template<simdifiable Vx>
norms< simdified_value_t< Vx > >::result	batmat::linalg::norms_all (Vx &&x)
	Compute the norms (max, 1-norm, and 2-norm) of a vector.
template<simdifiable Vx>
simdified_simd_t< Vx >	batmat::linalg::vnorm_inf (Vx &&x)
	Compute the lane-wise infinity norms of a batch of vectors.
template<simdifiable Vx>
simdified_value_t< Vx >	batmat::linalg::norm_inf (Vx &&x)
	Compute the infinity norm of a vector.
template<simdifiable Vx>
simdified_simd_t< Vx >	batmat::linalg::vnorm_1 (Vx &&x)
	Compute the lane-wise 1-norms of a batch of vectors.
template<simdifiable Vx>
simdified_value_t< Vx >	batmat::linalg::norm_1 (Vx &&x)
	Compute the 1-norm of a vector.
template<simdifiable Vx>
simdified_simd_t< Vx >	batmat::linalg::vnorm_2_squared (Vx &&x)
	Compute the lane-wise squared 2-norms of a batch of vectors.
template<simdifiable Vx>
simdified_value_t< Vx >	batmat::linalg::norm_2_squared (Vx &&x)
	Compute the squared 2-norm of a vector.
template<simdifiable Vx>
simdified_simd_t< Vx >	batmat::linalg::vnorm_2 (Vx &&x)
	Compute the lane-wise 2-norms of a batch of vectors.
template<simdifiable Vx>
simdified_value_t< Vx >	batmat::linalg::norm_2 (Vx &&x)
	Compute the 2-norm of a vector.
template<simdifiable Vx, simdifiable Vy>
simdified_simd_t< Vx >	batmat::linalg::vdot (Vx &&x, Vy &&y)
	Compute the lane-wise dot products of two batches of vectors.
template<simdifiable Vx, simdifiable Vy>
simdified_value_t< Vx >	batmat::linalg::dot (Vx &&x, Vy &&y)
	Compute the dot product of two vectors.
template<simdifiable Vw, simdifiable Va>
simdified_simd_t< Vw >	batmat::linalg::weighted_vnorm_sq (Vw &&w, Va &&a)
	∑ wᵢ aᵢ² (lane-wise).
template<simdifiable Vw, simdifiable Va>
simdified_value_t< Vw >	batmat::linalg::weighted_norm_sq (Vw &&w, Va &&a)
	∑ wᵢ aᵢ².
template<simdifiable Vw, simdifiable Va, simdifiable Vb>
simdified_simd_t< Vw >	batmat::linalg::weighted_vnorm_sq_diff (Vw &&w, Va &&a, Vb &&b)
	∑ wᵢ(aᵢ - bᵢ)² (lane-wise).
template<simdifiable Vw, simdifiable Va, simdifiable Vb>
simdified_value_t< Vw >	batmat::linalg::weighted_norm_sq_diff (Vw &&w, Va &&a, Vb &&b)
	∑ wᵢ(aᵢ - bᵢ)².

Multi-batch reduction operations
template<simdifiable_multi Vx>
norms< simdified_value_t< Vx > >::result	batmat::linalg::multi::norms_all (Vx &&x)
	Compute the norms (max, 1-norm, and 2-norm) of a vector.
template<simdifiable_multi Vx>
simdified_value_t< Vx >	batmat::linalg::multi::norm_inf (Vx &&x)
	Compute the infinity norm of a vector.
template<simdifiable_multi Vx>
simdified_value_t< Vx >	batmat::linalg::multi::norm_1 (Vx &&x)
	Compute the 1-norm of a vector.
template<simdifiable_multi Vx>
simdified_value_t< Vx >	batmat::linalg::multi::norm_2_squared (Vx &&x)
	Compute the squared 2-norm of a vector.
template<simdifiable_multi Vx>
simdified_value_t< Vx >	batmat::linalg::multi::norm_2 (Vx &&x)
	Compute the 2-norm of a vector.
template<simdifiable_multi Vx, simdifiable_multi Vy>
simdified_value_t< Vx >	batmat::linalg::multi::dot (Vx &&x, Vy &&y)
	Compute the dot product of two vectors.
template<simdifiable_multi Vw, simdifiable_multi Vx>
simdified_value_t< Vw >	batmat::linalg::multi::weighted_norm_sq (Vw &&w, Vx &&x)
	∑ wᵢ xᵢ².
template<simdifiable_multi Vw, simdifiable_multi Vx, simdifiable_multi Vy>
simdified_value_t< Vw >	batmat::linalg::multi::weighted_norm_sq_difference (Vw &&w, Vx &&x, Vy &&y)
	∑ wᵢ(xᵢ - yᵢ)².
template<simdifiable_multi Vx>
norms< simdified_value_t< Vx >, simdified_simd_t< Vx > >::result_simd	batmat::linalg::multi::vnorms_all (Vx &&x)
	Compute the lane-wise norms (max, 1-norm, and 2-norm) of a batch of vectors.
template<simdifiable_multi Vx>
simdified_simd_t< Vx >	batmat::linalg::multi::vnorm_inf (Vx &&x)
	Compute the lane-wise infinity norms of a batch of vectors.
template<simdifiable_multi Vx>
simdified_simd_t< Vx >	batmat::linalg::multi::vnorm_1 (Vx &&x)
	Compute the lane-wise 1-norms of a batch of vectors.
template<simdifiable_multi Vx>
simdified_simd_t< Vx >	batmat::linalg::multi::vnorm_2_squared (Vx &&x)
	Compute the lane-wise squared 2-norms of a batch of vectors.
template<simdifiable_multi Vx>
simdified_simd_t< Vx >	batmat::linalg::multi::vnorm_2 (Vx &&x)
	Compute the lane-wise 2-norms of a batch of vectors.
template<simdifiable_multi Vx, simdifiable_multi Vy>
simdified_simd_t< Vx >	batmat::linalg::multi::vdot (Vx &&x, Vy &&y)
	Compute the lane-wise dot products of two batches of vectors.
template<simdifiable_multi Vw, simdifiable_multi Vx>
simdified_simd_t< Vw >	batmat::linalg::multi::weighted_vnorm_sq (Vw &&w, Vx &&x)
	∑ wᵢ xᵢ² (lane-wise).
template<simdifiable_multi Vw, simdifiable_multi Vx, simdifiable_multi Vy>
simdified_simd_t< Vw >	batmat::linalg::multi::weighted_vnorm_sq_diff (Vw &&w, Vx &&x, Vy &&y)
	∑ wᵢ(xᵢ - yᵢ)² (lane-wise).

Namespaces
namespace	batmat
namespace	batmat::linalg
namespace	batmat::linalg::multi