flops.hpp File Reference

#include <batmat/assume.hpp>
#include <batmat/config.hpp>
#include <batmat/linalg/structure.hpp>
#include <algorithm>

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Classes
struct	batmat::linalg::flops::FlopCount
	Count of individual floating point operations, broken down by type. More...

Namespaces
namespace	batmat
namespace	batmat::linalg
namespace	batmat::linalg::flops

Functions
constexpr FlopCount	batmat::linalg::flops::operator+ (FlopCount a, FlopCount b)
	Combine two flop counts by summing the counts of each operation type.
constexpr index_t	batmat::linalg::flops::total (FlopCount c)
	Compute the total number of floating point operations by summing the counts of all operation types.
constexpr FlopCount	batmat::linalg::flops::gemm (index_t m, index_t n, index_t k)
	Matrix-matrix multiplication of m×k and k×n matrices.
constexpr FlopCount	batmat::linalg::flops::trmm (index_t m, index_t n, index_t k, MatrixStructure sA, MatrixStructure sB, MatrixStructure sC)
	Matrix-matrix multiplication of m×k and k×n matrices where one or more of the matrices are triangular or trapezoidal.
constexpr FlopCount	batmat::linalg::flops::gemmt (index_t m, index_t n, index_t k, MatrixStructure sA, MatrixStructure sB, MatrixStructure sC)
	Matrix-matrix multiplication of m×k and k×n matrices where the result is symmetric.
constexpr FlopCount	batmat::linalg::flops::syrk (index_t n, index_t k)
	Symmetric rank-k update of n×n matrices.
constexpr FlopCount	batmat::linalg::flops::gemmt_diag (index_t m, index_t n, index_t k, MatrixStructure sC)
	Matrix-matrix multiplication of m×k and k×n matrices with a diagonal k×k matrix in the middle, where the result is symmetric.
constexpr FlopCount	batmat::linalg::flops::potrf (index_t m, index_t n)
	Cholesky factorization and triangular solve for an m×n matrix with m≥n.
constexpr FlopCount	batmat::linalg::flops::hyh_square (index_t n, index_t k)
	Hyperbolic Householder factorization update with L n×n and A nr×k.
constexpr FlopCount	batmat::linalg::flops::hyh_apply (index_t nr, index_t nc, index_t k)
	Hyperbolic Householder factorization application to L2 nr×nc and A2 nr×k.
constexpr FlopCount	batmat::linalg::flops::hyh (index_t nr, index_t nc, index_t k)
	Hyperbolic Householder factorization update with L nr×nc and A nr×k.
constexpr FlopCount	batmat::linalg::flops::syrk_potrf (index_t m, index_t n, index_t k)
	Fused symmetric rank-k update and Cholesky factorization of an m×n matrix with m≥n.
constexpr FlopCount	batmat::linalg::flops::trsm (index_t m, index_t n)
	Triangular solve of m×n matrices.
constexpr FlopCount	batmat::linalg::flops::trtri (index_t m)
	Triangular inversion of an m×m matrix.