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| void | ROTG (FadType *da, FadType *db, MagnitudeType *c, FadType *s) const |
| | Computes a Givens plane rotation. More...
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| void | ROT (const OrdinalType n, FadType *dx, const OrdinalType incx, FadType *dy, const OrdinalType incy, MagnitudeType *c, FadType *s) const |
| | Applies a Givens plane rotation. More...
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| |
| void | SCAL (const OrdinalType n, const FadType &alpha, FadType *x, const OrdinalType incx) const |
| | Scale the std::vector x by the constant alpha. More...
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| void | COPY (const OrdinalType n, const FadType *x, const OrdinalType incx, FadType *y, const OrdinalType incy) const |
| | Copy the std::vector x to the std::vector y. More...
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| |
| template<typename alpha_type , typename x_type > |
| void | AXPY (const OrdinalType n, const alpha_type &alpha, const x_type *x, const OrdinalType incx, FadType *y, const OrdinalType incy) const |
| | Perform the operation: y <- y+alpha*x. More...
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| Teuchos::ScalarTraits< FadType >::magnitudeType | ASUM (const OrdinalType n, const FadType *x, const OrdinalType incx) const |
| | Sum the absolute values of the entries of x. More...
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| |
| template<typename x_type , typename y_type > |
| FadType | DOT (const OrdinalType n, const x_type *x, const OrdinalType incx, const y_type *y, const OrdinalType incy) const |
| | Form the dot product of the vectors x and y. More...
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| MagnitudeType | NRM2 (const OrdinalType n, const FadType *x, const OrdinalType incx) const |
| | Compute the 2-norm of the std::vector x. More...
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| OrdinalType | IAMAX (const OrdinalType n, const FadType *x, const OrdinalType incx) const |
| | Return the index of the element of x with the maximum magnitude. More...
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| ArrayTraits< OrdinalType, FadType > | arrayTraits |
| | ArrayTraits for packing/unpacking value/derivative arrays. More...
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| Teuchos::BLAS< OrdinalType, ValueType > | blas |
| | BLAS for values. More...
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| |
| bool | use_default_impl |
| | Use custom or default implementation. More...
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| std::vector< ValueType > | gemv_Ax |
| | Temporary array for GEMV. More...
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| std::vector< ValueType > | gemm_AB |
| | Temporary array for GEMM. More...
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| |
| template<typename alpha_type , typename A_type , typename B_type , typename beta_type > |
| void | GEMM (Teuchos::ETransp transa, Teuchos::ETransp transb, const OrdinalType m, const OrdinalType n, const OrdinalType k, const alpha_type &alpha, const A_type *A, const OrdinalType lda, const B_type *B, const OrdinalType ldb, const beta_type &beta, FadType *C, const OrdinalType ldc) const |
| | Performs the matrix-matrix operation: C <- alpha*op(A)*op(B)+beta*C where op(A) is either A or A', op(B) is either B or B', and C is an m by k matrix. More...
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| |
| template<typename alpha_type , typename A_type , typename B_type , typename beta_type > |
| void | SYMM (Teuchos::ESide side, Teuchos::EUplo uplo, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, const B_type *B, const OrdinalType ldb, const beta_type &beta, FadType *C, const OrdinalType ldc) const |
| | Performs the matrix-matrix operation: C <- alpha*A*B+beta*C or C <- alpha*B*A+beta*C where A is an m by m or n by n symmetric matrix and B is a general matrix. More...
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| |
| template<typename alpha_type , typename A_type > |
| void | TRMM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, FadType *B, const OrdinalType ldb) const |
| | Performs the matrix-matrix operation: C <- alpha*op(A)*B+beta*C or C <- alpha*B*op(A)+beta*C where op(A) is an unit/non-unit, upper/lower triangular matrix and B is a general matrix. More...
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| |
| template<typename alpha_type , typename A_type > |
| void | TRSM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const A_type *A, const OrdinalType lda, FadType *B, const OrdinalType ldb) const |
| | Solves the matrix equations:
op(A)*X=alpha*B or X*op(A)=alpha*B where X and B are m by n matrices, A is a unit/non-unit, upper/lower triangular matrix and op(A) is A or A'. The matrix X is overwritten on B. More...
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| |
| template<typename x_type , typename y_type > |
| void | Fad_DOT (const OrdinalType n, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const y_type *y, const OrdinalType incy, const OrdinalType n_y_dot, const y_type *y_dot, const OrdinalType incy_dot, ValueType &z, const OrdinalType n_z_dot, ValueType *zdot) const |
| | Implementation of DOT. More...
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| |
| template<typename alpha_type , typename A_type , typename x_type , typename beta_type > |
| void | Fad_GEMV (Teuchos::ETransp trans, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *y, const OrdinalType incy, const OrdinalType n_y_dot, ValueType *y_dot, const OrdinalType incy_dot, const OrdinalType n_dot) const |
| | Implementation of GEMV. More...
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| |
| template<typename alpha_type , typename x_type , typename y_type > |
| void | Fad_GER (const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const x_type *x, const OrdinalType incx, const OrdinalType n_x_dot, const x_type *x_dot, const OrdinalType incx_dot, const y_type *y, const OrdinalType incy, const OrdinalType n_y_dot, const y_type *y_dot, const OrdinalType incy_dot, ValueType *A, const OrdinalType lda, const OrdinalType n_A_dot, ValueType *A_dot, const OrdinalType lda_dot, const OrdinalType n_dot) const |
| | Implementation of GER. More...
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| |
| template<typename alpha_type , typename A_type , typename B_type , typename beta_type > |
| void | Fad_GEMM (Teuchos::ETransp transa, Teuchos::ETransp transb, const OrdinalType m, const OrdinalType n, const OrdinalType k, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const B_type *B, const OrdinalType ldb, const OrdinalType n_B_dot, const B_type *B_dot, const OrdinalType ldb_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *C, const OrdinalType ldc, const OrdinalType n_C_dot, ValueType *C_dot, const OrdinalType ldc_dot, const OrdinalType n_dot) const |
| | Implementation of GEMM. More...
|
| |
| template<typename alpha_type , typename A_type , typename B_type , typename beta_type > |
| void | Fad_SYMM (Teuchos::ESide side, Teuchos::EUplo uplo, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, const B_type *B, const OrdinalType ldb, const OrdinalType n_B_dot, const B_type *B_dot, const OrdinalType ldb_dot, const beta_type &beta, const OrdinalType n_beta_dot, const beta_type *beta_dot, ValueType *C, const OrdinalType ldc, const OrdinalType n_C_dot, ValueType *C_dot, const OrdinalType ldc_dot, const OrdinalType n_dot) const |
| | Implementation of SYMM. More...
|
| |
| template<typename alpha_type , typename A_type > |
| void | Fad_TRMM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, ValueType *B, const OrdinalType ldb, const OrdinalType n_B_dot, ValueType *B_dot, const OrdinalType ldb_dot, const OrdinalType n_dot) const |
| | Implementation of TRMM. More...
|
| |
| template<typename alpha_type , typename A_type > |
| void | Fad_TRSM (Teuchos::ESide side, Teuchos::EUplo uplo, Teuchos::ETransp transa, Teuchos::EDiag diag, const OrdinalType m, const OrdinalType n, const alpha_type &alpha, const OrdinalType n_alpha_dot, const alpha_type *alpha_dot, const A_type *A, const OrdinalType lda, const OrdinalType n_A_dot, const A_type *A_dot, const OrdinalType lda_dot, ValueType *B, const OrdinalType ldb, const OrdinalType n_B_dot, ValueType *B_dot, const OrdinalType ldb_dot, const OrdinalType n_dot) const |
| | Implementation of TRMM. More...
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| |
|
| typedef details::GivensRotator< ScalarType >::c_type | rotg_c_type |
| |
| | DefaultBLASImpl (void) |
| |
| | DefaultBLASImpl (const DefaultBLASImpl< OrdinalType, ScalarType > &) |
| |
| virtual | ~DefaultBLASImpl (void) |
| |
| void | ROTG (ScalarType *da, ScalarType *db, rotg_c_type *c, ScalarType *s) const |
| |
| void | ROT (const OrdinalType &n, ScalarType *dx, const OrdinalType &incx, ScalarType *dy, const OrdinalType &incy, MagnitudeType *c, ScalarType *s) const |
| |
| void | SCAL (const OrdinalType &n, const ScalarType &alpha, ScalarType *x, const OrdinalType &incx) const |
| |
| void | COPY (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx, ScalarType *y, const OrdinalType &incy) const |
| |
| void | AXPY (const OrdinalType &n, const alpha_type alpha, const x_type *x, const OrdinalType &incx, ScalarType *y, const OrdinalType &incy) const |
| |
| ScalarTraits< ScalarType >::magnitudeType | ASUM (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const |
| |
| ScalarType | DOT (const OrdinalType &n, const x_type *x, const OrdinalType &incx, const y_type *y, const OrdinalType &incy) const |
| |
| ScalarTraits< ScalarType >::magnitudeType | NRM2 (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const |
| |
| OrdinalType | IAMAX (const OrdinalType &n, const ScalarType *x, const OrdinalType &incx) const |
| |
| void | GEMV (ETransp trans, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const x_type *x, const OrdinalType &incx, const beta_type beta, ScalarType *y, const OrdinalType &incy) const |
| |
| void | TRMV (EUplo uplo, ETransp trans, EDiag diag, const OrdinalType &n, const A_type *A, const OrdinalType &lda, ScalarType *x, const OrdinalType &incx) const |
| |
| void | GER (const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const x_type *x, const OrdinalType &incx, const y_type *y, const OrdinalType &incy, ScalarType *A, const OrdinalType &lda) const |
| |
| void | GEMM (ETransp transa, ETransp transb, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const B_type *B, const OrdinalType &ldb, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const |
| |
| void | SWAP (const OrdinalType &n, ScalarType *const x, const OrdinalType &incx, ScalarType *const y, const OrdinalType &incy) const |
| |
| void | SYMM (ESide side, EUplo uplo, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const B_type *B, const OrdinalType &ldb, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const |
| |
| void | SYRK (EUplo uplo, ETransp trans, const OrdinalType &n, const OrdinalType &k, const alpha_type alpha, const A_type *A, const OrdinalType &lda, const beta_type beta, ScalarType *C, const OrdinalType &ldc) const |
| |
| void | TRMM (ESide side, EUplo uplo, ETransp transa, EDiag diag, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb) const |
| |
| void | TRSM (ESide side, EUplo uplo, ETransp transa, EDiag diag, const OrdinalType &m, const OrdinalType &n, const alpha_type alpha, const A_type *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb) const |
| |