The magicl Reference Manual

magicl.asd.

magicl (system).

• magicl.
• magicl/core.
• magicl/ext.
• magicl/ext-blas.
• magicl/ext-lapack.

magicl.asd.

magicl/core (system).

• magicl.
• magicl.backends.

packages.lisp (file).

magicl.asd.

magicl/core (system).

• *backend* (special variable).
• active-backends (function).
• backend-function-p (function).
• backend-implementation (compiler macro).
• backend-implementation (function).
• define-backend (macro).
• define-backend-function (macro).
• define-backend-implementation (macro).
• define-compatible-no-applicable-method-behavior (macro).
• no-applicable-implementation (function).
• no-applicable-implementation (condition).
• with-backends (macro).

• %backend-implementation (function).
• (setf %backend-implementation) (function).
• *known-backends* (special variable).
• +backends-key+ (constant).
• backend-name (type).
• backend-name-p (function).
• describe-backend-function (function).
• describe-callees (function).
• function-designator (type).
• function-p (function).
• generic-function-p (function).
• initialize-function-for-implementations (function).
• nai-fmt (function).
• no-applicable-implementation-failed-callees (reader method).
• no-applicable-implementation-function-name (reader method).
• normalize-lambda-list (function).
• normalize-optional/keyword-argument (function).

backend-function.lisp (file).

magicl.asd.

magicl/core (system).

time-backends (function).

magicl.asd.

high-level (module).

• column-major-index (function).
• define-extensible-function (macro).
• make-array (function).
• matrix-column-major-index (function).
• matrix-row-major-index (function).
• row-major-index (function).

• *double-comparison-threshold* (special variable).
• *float-comparison-threshold* (special variable).
• from-column-major-index (function).
• from-row-major-index (function).
• map-column-indexes (function).
• map-indexes (function).
• normalize-type (function).

util.lisp (file).

magicl.asd.

high-level (module).

*default-allocator* (special variable).

• allocate (function).
• allocator (type).
• c-allocator (function).
• dummy-finalizer (function).
• finalize (function).
• finalizer (type).
• lisp-allocator (function).

:allegro

allocation.lisp (file).

magicl.asd.

high-level (module).

• allocation-allegro.lisp (file).
• allocation.lisp (file).

magicl.asd.

high-level (module).

• shape (type).
• valid-index-p (function).

• assert-square-shape (macro).
• fixnum-to-shape (function).
• index (type).
• square-shape-p (function).
• valid-matrix-index-p (function).
• valid-shape-p (function).

shape.lisp (file).

magicl.asd.

high-level (module).

• .^ (function).
• .complex (function).
• .exp (function).
• .imagpart (function).
• .log (function).
• .max (function).
• .min (function).
• .realpart (function).
• = (function).
• abstract-tensor (structure).
• binary-operator (generic function).
• copy-tensor (generic function).
• deep-copy-tensor (generic function).
• element-type (generic function).
• every (generic function).
• lisp-array (generic function).
• make-tensor (generic function).
• map (generic function).
• map! (function).
• notany (generic function).
• notevery (generic function).
• order (generic function).
• scale (function).
• shape (generic function).
• size (generic function).
• slice (generic function).
• slice-to (generic function).
• some (generic function).
• sum (generic function).
• tref (generic function).
• (setf tref) (generic function).
• unary-operator (generic function).

• .complex-lisp (generic function).
• .imagpart-lisp (generic function).
• .realpart-lisp (generic function).
• =-lisp (generic function).
• abstract-tensor-p (function).
• coerce-type (generic function).
• exp-lisp (generic function).
• foreach (generic function).
• into (generic function).
• into! (generic function).
• log-lisp (generic function).
• map!-lisp (generic function).
• map-to (generic function).
• max-lisp (generic function).
• min-lisp (generic function).

abstract-tensor.lisp (file).

magicl.asd.

high-level (module).

• cast (generic function).
• generalize-tensor (method).
• specialize-tensor (method).

• compatible-tensors (generic function).
• defcompatible (macro).

specialize-tensor.lisp (file).

magicl.asd.

high-level (module).

• layout (method).
• order (method).
• reshape (generic function).
• shape (method).
• (setf shape) (method).
• size (method).
• tensor (structure).

• deftensor (macro).
• pprint-tensor (function).
• tensor-layout (reader).
• (setf tensor-layout) (writer).
• tensor-order (reader).
• (setf tensor-order) (writer).
• tensor-p (function).
• tensor-shape (reader).
• (setf tensor-shape) (writer).
• tensor-size (reader).
• tensor-storage (type).

tensor.lisp (file).

magicl.asd.

high-level (module).

• @ (generic function).
• block-diag (function).
• block-matrix (function).
• column (generic function).
• conjugate-transpose (function).
• conjugate-transpose! (function).
• det (function).
• diag (function).
• direct-sum (function).
• expih (function).
• expm (function).
• hermitian-matrix-p (function).
• hstack (function).
• identity-matrix-p (function).
• kron (function).
• layout (method).
• linear-solve (function).
• logm (function).
• lower-triangular (function).
• matrix (structure).
• ncols (method).
• nrows (method).
• order (method).
• row (generic function).
• shape (method).
• (setf shape) (method).
• size (method).
• square-matrix-p (function).
• trace (function).
• transpose (function).
• transpose! (function).
• unitary-matrix-p (function).
• upper-triangular (function).
• vstack (function).

• assert-square-matrix (macro).
• block-diag-lisp (generic function).
• block-matrix-lisp (generic function).
• conjugate-transpose!-lisp (generic function).
• conjugate-transpose-lisp (generic function).
• csd-blocks-lisp (generic function).
• defmatrix (macro).
• det-lisp (generic function).
• diag-lisp (generic function).
• direct-sum-lisp (generic function).
• hermitian-eig-lisp (generic function).
• hstack-lisp (generic function).
• kron-lisp (generic function).
• lower-triangular-lisp (generic function).
• lu-lisp (generic function).
• map!-lisp (method).
• matrix-layout (reader).
• (setf matrix-layout) (writer).
• matrix-ncols (reader).
• (setf matrix-ncols) (writer).
• matrix-nrows (reader).
• (setf matrix-nrows) (writer).
• matrix-p (function).
• matrix-size (reader).
• matrix-storage (type).
• mult-lisp (generic function).
• pprint-matrix (function).
• qr-lisp (generic function).
• rank-deficiency-error (condition).
• rank-deficiency-error-matrix (reader method).
• rank-deficiency-error-message (reader method).
• trace-lisp (generic function).
• transpose!-lisp (generic function).
• transpose-lisp (generic function).
• upper-triangular-lisp (generic function).
• vstack-lisp (generic function).

matrix.lisp (file).

magicl.asd.

high-level (module).

• column-matrix->vector (generic function).
• dot (function).
• layout (method).
• norm (function).
• normalize (function).
• normalize! (function).
• order (method).
• row-matrix->vector (generic function).
• shape (method).
• (setf shape) (method).
• size (method).
• vector->column-matrix (generic function).
• vector->row-matrix (generic function).

• defvector (macro).
• dot-lisp (generic function).
• map!-lisp (method).
• p-norm-type (type).
• pprint-vector (function).
• vector (structure).
• vector-p (function).
• vector-size (reader).
• (setf vector-size) (writer).
• vector-storage (type).

vector.lisp (file).

magicl.asd.

high-level (module).

• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• copy-tensor (method).
• copy-tensor (method).
• copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• element-type (method).
• element-type (method).
• element-type (method).
• make-tensor (method).
• make-tensor (method).
• make-tensor (method).
• matrix/single-float (structure).
• tensor/single-float (structure).
• tref (method).
• tref (method).
• tref (method).
• (setf tref) (method).
• (setf tref) (method).
• (setf tref) (method).
• vector/single-float (structure).

• .complex-lisp (method).
• .imagpart-lisp (method).
• .realpart-lisp (method).
• =-lisp (method).
• =-lisp (method).
• =-lisp (method).
• compatible-tensors (method).
• compatible-tensors (method).
• compatible-tensors (method).
• copy-matrix/single-float (function).
• copy-tensor/single-float (function).
• copy-vector/single-float (function).
• into! (method).
• make-matrix/single-float (function).
• make-tensor/single-float-struct (function).
• make-vector/single-float (function).
• matrix/single-float-layout (function).
• (setf matrix/single-float-layout) (function).
• matrix/single-float-ncols (function).
• (setf matrix/single-float-ncols) (function).
• matrix/single-float-nrows (function).
• (setf matrix/single-float-nrows) (function).
• matrix/single-float-p (function).
• matrix/single-float-size (function).
• matrix/single-float-storage (reader).
• (setf matrix/single-float-storage) (writer).
• storage (method).
• storage (method).
• storage (method).
• (setf storage) (method).
• (setf storage) (method).
• (setf storage) (method).
• tensor/single-float-layout (function).
• (setf tensor/single-float-layout) (function).
• tensor/single-float-order (function).
• (setf tensor/single-float-order) (function).
• tensor/single-float-p (function).
• tensor/single-float-shape (function).
• (setf tensor/single-float-shape) (function).
• tensor/single-float-size (function).
• tensor/single-float-storage (reader).
• (setf tensor/single-float-storage) (writer).
• vector/single-float-p (function).
• vector/single-float-size (function).
• (setf vector/single-float-size) (function).
• vector/single-float-storage (reader).
• (setf vector/single-float-storage) (writer).

types/single-float.lisp (file).

magicl.asd.

high-level (module).

• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• copy-tensor (method).
• copy-tensor (method).
• copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• element-type (method).
• element-type (method).
• element-type (method).
• make-tensor (method).
• make-tensor (method).
• make-tensor (method).
• matrix/double-float (structure).
• tensor/double-float (structure).
• tref (method).
• tref (method).
• tref (method).
• (setf tref) (method).
• (setf tref) (method).
• (setf tref) (method).
• vector/double-float (structure).

• .complex-lisp (method).
• .imagpart-lisp (method).
• .realpart-lisp (method).
• =-lisp (method).
• =-lisp (method).
• =-lisp (method).
• compatible-tensors (method).
• compatible-tensors (method).
• compatible-tensors (method).
• copy-matrix/double-float (function).
• copy-tensor/double-float (function).
• copy-vector/double-float (function).
• into! (method).
• make-matrix/double-float (function).
• make-tensor/double-float-struct (function).
• make-vector/double-float (function).
• matrix/double-float-layout (function).
• (setf matrix/double-float-layout) (function).
• matrix/double-float-ncols (function).
• (setf matrix/double-float-ncols) (function).
• matrix/double-float-nrows (function).
• (setf matrix/double-float-nrows) (function).
• matrix/double-float-p (function).
• matrix/double-float-size (function).
• matrix/double-float-storage (reader).
• (setf matrix/double-float-storage) (writer).
• storage (method).
• storage (method).
• storage (method).
• (setf storage) (method).
• (setf storage) (method).
• (setf storage) (method).
• tensor/double-float-layout (function).
• (setf tensor/double-float-layout) (function).
• tensor/double-float-order (function).
• (setf tensor/double-float-order) (function).
• tensor/double-float-p (function).
• tensor/double-float-shape (function).
• (setf tensor/double-float-shape) (function).
• tensor/double-float-size (function).
• tensor/double-float-storage (reader).
• (setf tensor/double-float-storage) (writer).
• vector/double-float-p (function).
• vector/double-float-size (function).
• (setf vector/double-float-size) (function).
• vector/double-float-storage (reader).
• (setf vector/double-float-storage) (writer).

types/double-float.lisp (file).

magicl.asd.

high-level (module).

• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• copy-tensor (method).
• copy-tensor (method).
• copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• element-type (method).
• element-type (method).
• element-type (method).
• make-tensor (method).
• make-tensor (method).
• make-tensor (method).
• matrix/complex-single-float (structure).
• tensor/complex-single-float (structure).
• tref (method).
• tref (method).
• tref (method).
• (setf tref) (method).
• (setf tref) (method).
• (setf tref) (method).
• vector/complex-single-float (structure).

• .imagpart-lisp (method).
• .realpart-lisp (method).
• =-lisp (method).
• =-lisp (method).
• =-lisp (method).
• compatible-tensors (method).
• compatible-tensors (method).
• compatible-tensors (method).
• copy-matrix/complex-single-float (function).
• copy-tensor/complex-single-float (function).
• copy-vector/complex-single-float (function).
• into! (method).
• make-matrix/complex-single-float (function).
• make-tensor/complex-single-float-struct (function).
• make-vector/complex-single-float (function).
• matrix/complex-single-float-layout (function).
• (setf matrix/complex-single-float-layout) (function).
• matrix/complex-single-float-ncols (function).
• (setf matrix/complex-single-float-ncols) (function).
• matrix/complex-single-float-nrows (function).
• (setf matrix/complex-single-float-nrows) (function).
• matrix/complex-single-float-p (function).
• matrix/complex-single-float-size (function).
• matrix/complex-single-float-storage (reader).
• (setf matrix/complex-single-float-storage) (writer).
• storage (method).
• storage (method).
• storage (method).
• (setf storage) (method).
• (setf storage) (method).
• (setf storage) (method).
• tensor/complex-single-float-layout (function).
• (setf tensor/complex-single-float-layout) (function).
• tensor/complex-single-float-order (function).
• (setf tensor/complex-single-float-order) (function).
• tensor/complex-single-float-p (function).
• tensor/complex-single-float-shape (function).
• (setf tensor/complex-single-float-shape) (function).
• tensor/complex-single-float-size (function).
• tensor/complex-single-float-storage (reader).
• (setf tensor/complex-single-float-storage) (writer).
• vector/complex-single-float-p (function).
• vector/complex-single-float-size (function).
• (setf vector/complex-single-float-size) (function).
• vector/complex-single-float-storage (reader).
• (setf vector/complex-single-float-storage) (writer).

types/complex-single-float.lisp (file).

magicl.asd.

high-level (module).

• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• copy-tensor (method).
• copy-tensor (method).
• copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• element-type (method).
• element-type (method).
• element-type (method).
• make-tensor (method).
• make-tensor (method).
• make-tensor (method).
• matrix/complex-double-float (structure).
• tensor/complex-double-float (structure).
• tref (method).
• tref (method).
• tref (method).
• (setf tref) (method).
• (setf tref) (method).
• (setf tref) (method).
• vector/complex-double-float (structure).

• .imagpart-lisp (method).
• .realpart-lisp (method).
• =-lisp (method).
• =-lisp (method).
• =-lisp (method).
• compatible-tensors (method).
• compatible-tensors (method).
• compatible-tensors (method).
• copy-matrix/complex-double-float (function).
• copy-tensor/complex-double-float (function).
• copy-vector/complex-double-float (function).
• into! (method).
• make-matrix/complex-double-float (function).
• make-tensor/complex-double-float-struct (function).
• make-vector/complex-double-float (function).
• matrix/complex-double-float-layout (function).
• (setf matrix/complex-double-float-layout) (function).
• matrix/complex-double-float-ncols (function).
• (setf matrix/complex-double-float-ncols) (function).
• matrix/complex-double-float-nrows (function).
• (setf matrix/complex-double-float-nrows) (function).
• matrix/complex-double-float-p (function).
• matrix/complex-double-float-size (function).
• matrix/complex-double-float-storage (reader).
• (setf matrix/complex-double-float-storage) (writer).
• storage (method).
• storage (method).
• storage (method).
• (setf storage) (method).
• (setf storage) (method).
• (setf storage) (method).
• tensor/complex-double-float-layout (function).
• (setf tensor/complex-double-float-layout) (function).
• tensor/complex-double-float-order (function).
• (setf tensor/complex-double-float-order) (function).
• tensor/complex-double-float-p (function).
• tensor/complex-double-float-shape (function).
• (setf tensor/complex-double-float-shape) (function).
• tensor/complex-double-float-size (function).
• tensor/complex-double-float-storage (reader).
• (setf tensor/complex-double-float-storage) (writer).
• vector/complex-double-float-p (function).
• vector/complex-double-float-size (function).
• (setf vector/complex-double-float-size) (function).
• vector/complex-double-float-storage (reader).
• (setf vector/complex-double-float-storage) (writer).

types/complex-double-float.lisp (file).

magicl.asd.

high-level (module).

• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• cast (method).
• copy-tensor (method).
• copy-tensor (method).
• copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• deep-copy-tensor (method).
• element-type (method).
• element-type (method).
• element-type (method).
• make-tensor (method).
• make-tensor (method).
• make-tensor (method).
• tref (method).
• tref (method).
• tref (method).
• (setf tref) (method).
• (setf tref) (method).
• (setf tref) (method).

• compatible-tensors (method).
• compatible-tensors (method).
• compatible-tensors (method).
• copy-matrix/int32 (function).
• copy-tensor/int32 (function).
• copy-vector/int32 (function).
• into! (method).
• make-matrix/int32 (function).
• make-tensor/int32-struct (function).
• make-vector/int32 (function).
• matrix/int32 (structure).
• matrix/int32-layout (function).
• (setf matrix/int32-layout) (function).
• matrix/int32-ncols (function).
• (setf matrix/int32-ncols) (function).
• matrix/int32-nrows (function).
• (setf matrix/int32-nrows) (function).
• matrix/int32-p (function).
• matrix/int32-size (function).
• matrix/int32-storage (reader).
• (setf matrix/int32-storage) (writer).
• storage (method).
• storage (method).
• storage (method).
• (setf storage) (method).
• (setf storage) (method).
• (setf storage) (method).
• tensor/int32 (structure).
• tensor/int32-layout (function).
• (setf tensor/int32-layout) (function).
• tensor/int32-order (function).
• (setf tensor/int32-order) (function).
• tensor/int32-p (function).
• tensor/int32-shape (function).
• (setf tensor/int32-shape) (function).
• tensor/int32-size (function).
• tensor/int32-storage (reader).
• (setf tensor/int32-storage) (writer).
• vector/int32 (structure).
• vector/int32-p (function).
• vector/int32-size (function).
• (setf vector/int32-size) (function).
• vector/int32-storage (reader).
• (setf vector/int32-storage) (writer).

types/int32.lisp (file).

magicl.asd.

high-level (module).

• define-common-complex-vector-methods (macro).
• define-common-real-vector-methods (macro).
• dot-lisp (method).
• dot-lisp (method).
• dot-lisp (method).
• dot-lisp (method).

types/specialized-vector.lisp (file).

magicl.asd.

high-level (module).

• arange (function).
• const (function).
• empty (function).
• eye (function).
• from-array (function).
• from-diag (function).
• from-list (function).
• ones (function).
• rand (function).
• random-normal (function).
• random-special-unitary (function).
• random-unitary (function).
• zeros (function).

• *default-tensor-type* (special variable).
• fill-with-random-normal! (generic function).
• from-storage (function).

constructors.lisp (file).

magicl.asd.

high-level (module).

infer-tensor-type (function).

specialize-constructor.lisp (file).

magicl.asd.

high-level (module).

• make-polynomial (function).
• polynomial (structure).
• polynomial-coefficients (reader).
• (setf polynomial-coefficients) (writer).
• polynomial-coefficients (type).
• polynomial-diff (function).
• polynomial-eval (function).
• polynomial-newton-iteration (function).
• polynomial-solve (function).

• %make-polynomial (function).
• +default-newton-max-iterations+ (constant).
• +default-newton-tolerance+ (constant).
• copy-polynomial (function).
• polynomial-p (function).

magicl.asd.

matrix-functions (module).

• column-matrix->vector (method).
• column-matrix->vector (method).
• column-matrix->vector (method).
• column-matrix->vector (method).
• column-matrix->vector (method).
• row-matrix->vector (method).
• row-matrix->vector (method).
• row-matrix->vector (method).
• row-matrix->vector (method).
• row-matrix->vector (method).
• vector->column-matrix (method).
• vector->column-matrix (method).
• vector->column-matrix (method).
• vector->column-matrix (method).
• vector->column-matrix (method).
• vector->row-matrix (method).
• vector->row-matrix (method).
• vector->row-matrix (method).
• vector->row-matrix (method).
• vector->row-matrix (method).

row-column-matrices.lisp (file).

magicl.asd.

matrix-functions (module).

• %matmul-dispatch (function).
• %matmul-dispatch-index (function).
• %matmul-specialization (function).
• %matrix-ref-op (function).
• %precompute-transpose (function).
• %vecmul-dispatch (function).
• %vecmul-dispatch-index (function).
• %vecmul-specialization (function).
• register-matrix-matrix-multiply (macro).
• register-matrix-vector-multiply (macro).

mult-definition.lisp (file).

magicl.asd.

matrix-functions (module).

• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).
• mult-lisp (method).

mult-methods.lisp (file).

magicl.asd.

matrix-functions (module).

• copy-givens-rotation (function).
• givens-entries (function).
• givens-rotation (structure).
• givens-rotation-c (reader).
• (setf givens-rotation-c) (writer).
• givens-rotation-i (reader).
• (setf givens-rotation-i) (writer).
• givens-rotation-j (reader).
• (setf givens-rotation-j) (writer).
• givens-rotation-p (function).
• givens-rotation-s (reader).
• (setf givens-rotation-s) (writer).
• left-apply-givens! (function).
• make-givens-rotation (function).
• right-apply-givens! (function).

givens.lisp (file).

magicl.asd.

matrix-functions (module).

• column->householder (function).
• copy-householder-reflection (function).
• householder-reflection (structure).
• householder-reflection-idx (reader).
• (setf householder-reflection-idx) (writer).
• householder-reflection-p (function).
• householder-reflection-v (reader).
• (setf householder-reflection-v) (writer).
• left-apply-householder! (function).
• make-householder-reflection (function).
• right-apply-householder! (function).
• row->householder (function).

householder.lisp (file).

magicl.asd.

matrix-functions (module).

• %qr-lisp (function).
• qr-lisp (method).
• scale-column! (function).
• scale-row! (function).

qr.lisp (file).

magicl.asd.

matrix-functions (module).

• doolittle (function).
• exchange-rows! (function).
• lu-lisp (method).
• merge-lu (function).
• pivot (function).

lu.lisp (file).

magicl.asd.

matrix-functions (module).

• bidiagonal (function).
• hessenberg (function).

tridiagonal-form.lisp (file).

magicl.asd.

matrix-functions (module).

• hermitian-eig-lisp (method).
• matrix-realpart (function).
• qrstep! (function).
• wilkinson-shift (function).

hermitian-eig.lisp (file).

magicl.asd.

matrix-functions (module).

• svd-lisp (function).
• svdstep! (function).
• unitary-extension (function).

svd.lisp (file).

magicl.asd.

matrix-functions (module).

random-hermitian (function).

random-hermitian.lisp (file).

magicl.asd.

matrix-functions (module).

csd (function).

• %csd-blocks-lisp (function).
• csd-2x1 (function).
• csd-blocks-lisp (method).
• csd-blocks-lisp (method).
• csd-matrices-from-blocks (function).
• m*-diag-general (function).
• polar-decomposition (function).

high-level (module).

magicl.asd.

magicl/core (system).

with-blapack (macro).

magicl.asd.

magicl/ext (system).

• magicl.cffi-types.
• magicl.foreign-libraries.

package.lisp (file).

magicl.asd.

magicl/ext (system).

• *foreign-libraries* (special variable).
• foreign-symbol-available-p (function).
• print-availability-report (function).
• track-symbols (function).

library-tracking.lisp (file).

magicl.asd.

magicl/ext (system).

• array-pointer (function).
• with-array-pointers (macro).

with-array-pointers.lisp (file).

magicl.asd.

magicl/ext (system).

• expand-from-foreign (method).
• expand-from-foreign (method).
• translate-from-foreign (method).
• translate-from-foreign (method).
• translate-into-foreign-memory (method).
• translate-into-foreign-memory (method).

• %conjf (function).
• foreign-complex-double-float (class).
• foreign-complex-single-float (class).

cffi-types.lisp (file).

magicl.asd.

magicl/ext (system).

ptr-ref (generic function).

magicl.asd.

magicl/ext-blas (system).

• magicl.blas-cffi.
• magicl.blas.

extensions/blas/package.lisp (file).

magicl.asd.

magicl/ext-blas (system).

*blas-loaded* (special variable).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings (module).

• %caxpy (function).
• %ccopy (function).
• %cdotc (function).
• %cdotu (function).
• %cgbmv (function).
• %cgemm (function).
• %cgemv (function).
• %cgerc (function).
• %cgeru (function).
• %chbmv (function).
• %chemm (function).
• %chemv (function).
• %cher (function).
• %cher2 (function).
• %cher2k (function).
• %cherk (function).
• %chpmv (function).
• %chpr (function).
• %chpr2 (function).
• %crotg (function).
• %cscal (function).
• %csrot (function).
• %csscal (function).
• %cswap (function).
• %csymm (function).
• %csyr2k (function).
• %csyrk (function).
• %ctbmv (function).
• %ctbsv (function).
• %ctpmv (function).
• %ctpsv (function).
• %ctrmm (function).
• %ctrmv (function).
• %ctrsm (function).
• %ctrsv (function).
• %dasum (function).
• %daxpy (function).
• %dcabs1 (function).
• %dcopy (function).
• %ddot (function).
• %dgbmv (function).
• %dgemm (function).
• %dgemv (function).
• %dger (function).
• %dnrm2 (function).
• %drot (function).
• %drotg (function).
• %drotm (function).
• %drotmg (function).
• %dsbmv (function).
• %dscal (function).
• %dsdot (function).
• %dspmv (function).
• %dspr (function).
• %dspr2 (function).
• %dswap (function).
• %dsymm (function).
• %dsymv (function).
• %dsyr (function).
• %dsyr2 (function).
• %dsyr2k (function).
• %dsyrk (function).
• %dtbmv (function).
• %dtbsv (function).
• %dtpmv (function).
• %dtpsv (function).
• %dtrmm (function).
• %dtrmv (function).
• %dtrsm (function).
• %dtrsv (function).
• %dzasum (function).
• %dznrm2 (function).
• %icamax (function).
• %idamax (function).
• %isamax (function).
• %izamax (function).
• %lsame (function).
• %sasum (function).
• %saxpy (function).
• %scabs1 (function).
• %scasum (function).
• %scnrm2 (function).
• %scopy (function).
• %sdot (function).
• %sdsdot (function).
• %sgbmv (function).
• %sgemm (function).
• %sgemv (function).
• %sger (function).
• %snrm2 (function).
• %srot (function).
• %srotg (function).
• %srotm (function).
• %srotmg (function).
• %ssbmv (function).
• %sscal (function).
• %sspmv (function).
• %sspr (function).
• %sspr2 (function).
• %sswap (function).
• %ssymm (function).
• %ssymv (function).
• %ssyr (function).
• %ssyr2 (function).
• %ssyr2k (function).
• %ssyrk (function).
• %stbmv (function).
• %stbsv (function).
• %stpmv (function).
• %stpsv (function).
• %strmm (function).
• %strmv (function).
• %strsm (function).
• %strsv (function).
• %xerbla (function).
• %xerbla_array (function).
• %zaxpy (function).
• %zcopy (function).
• %zdotc (function).
• %zdotu (function).
• %zdrot (function).
• %zdscal (function).
• %zgbmv (function).
• %zgemm (function).
• %zgemv (function).
• %zgerc (function).
• %zgeru (function).
• %zhbmv (function).
• %zhemm (function).
• %zhemv (function).
• %zher (function).
• %zher2 (function).
• %zher2k (function).
• %zherk (function).
• %zhpmv (function).
• %zhpr (function).
• %zhpr2 (function).
• %zrotg (function).
• %zscal (function).
• %zswap (function).
• %zsymm (function).
• %zsyr2k (function).
• %zsyrk (function).
• %ztbmv (function).
• %ztbsv (function).
• %ztpmv (function).
• %ztpsv (function).
• %ztrmm (function).
• %ztrmv (function).
• %ztrsm (function).
• %ztrsv (function).

• %%caxpy (function).
• %%ccopy (function).
• %%cdotc (function).
• %%cdotu (function).
• %%cgbmv (function).
• %%cgemm (function).
• %%cgemv (function).
• %%cgerc (function).
• %%cgeru (function).
• %%chbmv (function).
• %%chemm (function).
• %%chemv (function).
• %%cher (function).
• %%cher2 (function).
• %%cher2k (function).
• %%cherk (function).
• %%chpmv (function).
• %%chpr (function).
• %%chpr2 (function).
• %%crotg (function).
• %%cscal (function).
• %%csrot (function).
• %%csscal (function).
• %%cswap (function).
• %%csymm (function).
• %%csyr2k (function).
• %%csyrk (function).
• %%ctbmv (function).
• %%ctbsv (function).
• %%ctpmv (function).
• %%ctpsv (function).
• %%ctrmm (function).
• %%ctrmv (function).
• %%ctrsm (function).
• %%ctrsv (function).
• %%dasum (function).
• %%daxpy (function).
• %%dcabs1 (function).
• %%dcopy (function).
• %%ddot (function).
• %%dgbmv (function).
• %%dgemm (function).
• %%dgemv (function).
• %%dger (function).
• %%dnrm2 (function).
• %%drot (function).
• %%drotg (function).
• %%drotm (function).
• %%drotmg (function).
• %%dsbmv (function).
• %%dscal (function).
• %%dsdot (function).
• %%dspmv (function).
• %%dspr (function).
• %%dspr2 (function).
• %%dswap (function).
• %%dsymm (function).
• %%dsymv (function).
• %%dsyr (function).
• %%dsyr2 (function).
• %%dsyr2k (function).
• %%dsyrk (function).
• %%dtbmv (function).
• %%dtbsv (function).
• %%dtpmv (function).
• %%dtpsv (function).
• %%dtrmm (function).
• %%dtrmv (function).
• %%dtrsm (function).
• %%dtrsv (function).
• %%dzasum (function).
• %%dznrm2 (function).
• %%icamax (function).
• %%idamax (function).
• %%isamax (function).
• %%izamax (function).
• %%lsame (function).
• %%sasum (function).
• %%saxpy (function).
• %%scabs1 (function).
• %%scasum (function).
• %%scnrm2 (function).
• %%scopy (function).
• %%sdot (function).
• %%sdsdot (function).
• %%sgbmv (function).
• %%sgemm (function).
• %%sgemv (function).
• %%sger (function).
• %%snrm2 (function).
• %%srot (function).
• %%srotg (function).
• %%srotm (function).
• %%srotmg (function).
• %%ssbmv (function).
• %%sscal (function).
• %%sspmv (function).
• %%sspr (function).
• %%sspr2 (function).
• %%sswap (function).
• %%ssymm (function).
• %%ssymv (function).
• %%ssyr (function).
• %%ssyr2 (function).
• %%ssyr2k (function).
• %%ssyrk (function).
• %%stbmv (function).
• %%stbsv (function).
• %%stpmv (function).
• %%stpsv (function).
• %%strmm (function).
• %%strmv (function).
• %%strsm (function).
• %%strsv (function).
• %%xerbla (function).
• %%xerbla_array (function).
• %%zaxpy (function).
• %%zcopy (function).
• %%zdotc (function).
• %%zdotu (function).
• %%zdrot (function).
• %%zdscal (function).
• %%zgbmv (function).
• %%zgemm (function).
• %%zgemv (function).
• %%zgerc (function).
• %%zgeru (function).
• %%zhbmv (function).
• %%zhemm (function).
• %%zhemv (function).
• %%zher (function).
• %%zher2 (function).
• %%zher2k (function).
• %%zherk (function).
• %%zhpmv (function).
• %%zhpr (function).
• %%zhpr2 (function).
• %%zrotg (function).
• %%zscal (function).
• %%zswap (function).
• %%zsymm (function).
• %%zsyr2k (function).
• %%zsyrk (function).
• %%ztbmv (function).
• %%ztbsv (function).
• %%ztpmv (function).
• %%ztpsv (function).
• %%ztrmm (function).
• %%ztrmv (function).
• %%ztrsm (function).
• %%ztrsv (function).

• bindings (module).
• bindings/allegro (module).
• extensions/blas/load-libs.lisp (file).

magicl.asd.

magicl/ext-blas (system).

• .* (function).
• .+ (function).
• .- (function).
• ./ (function).
• scale! (function).

• .*-blas (generic function).
• .+-blas (generic function).
• .--blas (generic function).
• ./-blas (generic function).
• compatible-matrices-p (function).
• compatible-vectors-p (function).
• copy-to/w-same-layout (generic function).
• scale!-blas (generic function).
• with-compatibility-test (macro).

magicl.asd.

magicl/ext-lapack (system).

• magicl.lapack-cffi.
• magicl-lapack.

extensions/lapack/package.lisp (file).

magicl.asd.

magicl/ext-lapack (system).

*blapack-libs-loaded* (special variable).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings/allegro (module).

magicl.asd.

bindings (module).

• %cbbcsd (function).
• %cbdsqr (function).
• %cgbbrd (function).
• %cgbcon (function).
• %cgbequ (function).
• %cgbequb (function).
• %cgbrfs (function).
• %cgbrfsx (function).
• %cgbsv (function).
• %cgbsvx (function).
• %cgbsvxx (function).
• %cgbtf2 (function).
• %cgbtrf (function).
• %cgbtrs (function).
• %cgebak (function).
• %cgebal (function).
• %cgebd2 (function).
• %cgebrd (function).
• %cgecon (function).
• %cgeequ (function).
• %cgeequb (function).
• %cgees (function).
• %cgeesx (function).
• %cgeev (function).
• %cgeevx (function).
• %cgehd2 (function).
• %cgehrd (function).
• %cgejsv (function).
• %cgelq (function).
• %cgelq2 (function).
• %cgelqf (function).
• %cgelqt (function).
• %cgelqt3 (function).
• %cgels (function).
• %cgelsd (function).
• %cgelss (function).
• %cgelsy (function).
• %cgemlq (function).
• %cgemlqt (function).
• %cgemqr (function).
• %cgemqrt (function).
• %cgeql2 (function).
• %cgeqlf (function).
• %cgeqp3 (function).
• %cgeqr (function).
• %cgeqr2 (function).
• %cgeqr2p (function).
• %cgeqrf (function).
• %cgeqrfp (function).
• %cgeqrt (function).
• %cgeqrt2 (function).
• %cgeqrt3 (function).
• %cgerfs (function).
• %cgerfsx (function).
• %cgerq2 (function).
• %cgerqf (function).
• %cgesc2 (function).
• %cgesdd (function).
• %cgesv (function).
• %cgesvd (function).
• %cgesvdq (function).
• %cgesvdx (function).
• %cgesvj (function).
• %cgesvx (function).
• %cgesvxx (function).
• %cgetc2 (function).
• %cgetf2 (function).
• %cgetrf (function).
• %cgetrf2 (function).
• %cgetri (function).
• %cgetrs (function).
• %cgetsls (function).
• %cggbak (function).
• %cggbal (function).
• %cgges (function).
• %cgges3 (function).
• %cggesx (function).
• %cggev (function).
• %cggev3 (function).
• %cggevx (function).
• %cggglm (function).
• %cgghd3 (function).
• %cgghrd (function).
• %cgglse (function).
• %cggqrf (function).
• %cggrqf (function).
• %cggsvd3 (function).
• %cggsvp3 (function).
• %cgsvj0 (function).
• %cgsvj1 (function).
• %cgtcon (function).
• %cgtrfs (function).
• %cgtsv (function).
• %cgtsvx (function).
• %cgttrf (function).
• %cgttrs (function).
• %cgtts2 (function).
• %chb2st_kernels (function).
• %chbev (function).
• %chbev_2stage (function).
• %chbevd (function).
• %chbevd_2stage (function).
• %chbevx (function).
• %chbevx_2stage (function).
• %chbgst (function).
• %chbgv (function).
• %chbgvd (function).
• %chbgvx (function).
• %chbtrd (function).
• %checon (function).
• %checon_3 (function).
• %checon_rook (function).
• %cheequb (function).
• %cheev (function).
• %cheev_2stage (function).
• %cheevd (function).
• %cheevd_2stage (function).
• %cheevr (function).
• %cheevr_2stage (function).
• %cheevx (function).
• %cheevx_2stage (function).
• %chegs2 (function).
• %chegst (function).
• %chegv (function).
• %chegv_2stage (function).
• %chegvd (function).
• %chegvx (function).
• %cherfs (function).
• %cherfsx (function).
• %chesv (function).
• %chesv_aa (function).
• %chesv_aa_2stage (function).
• %chesv_rk (function).
• %chesv_rook (function).
• %chesvx (function).
• %chesvxx (function).
• %cheswapr (function).
• %chetd2 (function).
• %chetf2 (function).
• %chetf2_rk (function).
• %chetf2_rook (function).
• %chetrd (function).
• %chetrd_2stage (function).
• %chetrd_he2hb (function).
• %chetrf (function).
• %chetrf_aa (function).
• %chetrf_aa_2stage (function).
• %chetrf_rk (function).
• %chetrf_rook (function).
• %chetri (function).
• %chetri2 (function).
• %chetri2x (function).
• %chetri_3 (function).
• %chetri_3x (function).
• %chetri_rook (function).
• %chetrs (function).
• %chetrs2 (function).
• %chetrs_3 (function).
• %chetrs_aa (function).
• %chetrs_aa_2stage (function).
• %chetrs_rook (function).
• %chfrk (function).
• %chgeqz (function).
• %chla_transtype (function).
• %chpcon (function).
• %chpev (function).
• %chpevd (function).
• %chpevx (function).
• %chpgst (function).
• %chpgv (function).
• %chpgvd (function).
• %chpgvx (function).
• %chprfs (function).
• %chpsv (function).
• %chpsvx (function).
• %chptrd (function).
• %chptrf (function).
• %chptri (function).
• %chptrs (function).
• %chsein (function).
• %chseqr (function).
• %cla_gbamv (function).
• %cla_gbrcond_c (function).
• %cla_gbrcond_x (function).
• %cla_gbrfsx_extended (function).
• %cla_gbrpvgrw (function).
• %cla_geamv (function).
• %cla_gercond_c (function).
• %cla_gercond_x (function).
• %cla_gerfsx_extended (function).
• %cla_gerpvgrw (function).
• %cla_heamv (function).
• %cla_hercond_c (function).
• %cla_hercond_x (function).
• %cla_herfsx_extended (function).
• %cla_herpvgrw (function).
• %cla_lin_berr (function).
• %cla_porcond_c (function).
• %cla_porcond_x (function).
• %cla_porfsx_extended (function).
• %cla_porpvgrw (function).
• %cla_syamv (function).
• %cla_syrcond_c (function).
• %cla_syrcond_x (function).
• %cla_syrfsx_extended (function).
• %cla_syrpvgrw (function).
• %cla_wwaddw (function).
• %clabrd (function).
• %clacgv (function).
• %clacn2 (function).
• %clacon (function).
• %clacp2 (function).
• %clacpy (function).
• %clacrm (function).
• %clacrt (function).
• %cladiv (function).
• %claed0 (function).
• %claed7 (function).
• %claed8 (function).
• %claein (function).
• %claesy (function).
• %claev2 (function).
• %clag2z (function).
• %clags2 (function).
• %clagtm (function).
• %clahef (function).
• %clahef_aa (function).
• %clahef_rk (function).
• %clahef_rook (function).
• %clahqr (function).
• %clahr2 (function).
• %claic1 (function).
• %clals0 (function).
• %clalsa (function).
• %clalsd (function).
• %clamswlq (function).
• %clamtsqr (function).
• %clangb (function).
• %clange (function).
• %clangt (function).
• %clanhb (function).
• %clanhe (function).
• %clanhf (function).
• %clanhp (function).
• %clanhs (function).
• %clanht (function).
• %clansb (function).
• %clansp (function).

• %%cbbcsd (function).
• %%cbdsqr (function).
• %%cgbbrd (function).
• %%cgbcon (function).
• %%cgbequ (function).
• %%cgbequb (function).
• %%cgbrfs (function).
• %%cgbrfsx (function).
• %%cgbsv (function).
• %%cgbsvx (function).
• %%cgbsvxx (function).
• %%cgbtf2 (function).
• %%cgbtrf (function).
• %%cgbtrs (function).
• %%cgebak (function).
• %%cgebal (function).
• %%cgebd2 (function).
• %%cgebrd (function).
• %%cgecon (function).
• %%cgeequ (function).
• %%cgeequb (function).
• %%cgees (function).
• %%cgeesx (function).
• %%cgeev (function).
• %%cgeevx (function).
• %%cgehd2 (function).
• %%cgehrd (function).
• %%cgejsv (function).
• %%cgelq (function).
• %%cgelq2 (function).
• %%cgelqf (function).
• %%cgelqt (function).
• %%cgelqt3 (function).
• %%cgels (function).
• %%cgelsd (function).
• %%cgelss (function).
• %%cgelsy (function).
• %%cgemlq (function).
• %%cgemlqt (function).
• %%cgemqr (function).
• %%cgemqrt (function).
• %%cgeql2 (function).
• %%cgeqlf (function).
• %%cgeqp3 (function).
• %%cgeqr (function).
• %%cgeqr2 (function).
• %%cgeqr2p (function).
• %%cgeqrf (function).
• %%cgeqrfp (function).
• %%cgeqrt (function).
• %%cgeqrt2 (function).
• %%cgeqrt3 (function).
• %%cgerfs (function).
• %%cgerfsx (function).
• %%cgerq2 (function).
• %%cgerqf (function).
• %%cgesc2 (function).
• %%cgesdd (function).
• %%cgesv (function).
• %%cgesvd (function).
• %%cgesvdq (function).
• %%cgesvdx (function).
• %%cgesvj (function).
• %%cgesvx (function).
• %%cgesvxx (function).
• %%cgetc2 (function).
• %%cgetf2 (function).
• %%cgetrf (function).
• %%cgetrf2 (function).
• %%cgetri (function).
• %%cgetrs (function).
• %%cgetsls (function).
• %%cggbak (function).
• %%cggbal (function).
• %%cgges (function).
• %%cgges3 (function).
• %%cggesx (function).
• %%cggev (function).
• %%cggev3 (function).
• %%cggevx (function).
• %%cggglm (function).
• %%cgghd3 (function).
• %%cgghrd (function).
• %%cgglse (function).
• %%cggqrf (function).
• %%cggrqf (function).
• %%cggsvd3 (function).
• %%cggsvp3 (function).
• %%cgsvj0 (function).
• %%cgsvj1 (function).
• %%cgtcon (function).
• %%cgtrfs (function).
• %%cgtsv (function).
• %%cgtsvx (function).
• %%cgttrf (function).
• %%cgttrs (function).
• %%cgtts2 (function).
• %%chb2st_kernels (function).
• %%chbev (function).
• %%chbev_2stage (function).
• %%chbevd (function).
• %%chbevd_2stage (function).
• %%chbevx (function).
• %%chbevx_2stage (function).
• %%chbgst (function).
• %%chbgv (function).
• %%chbgvd (function).
• %%chbgvx (function).
• %%chbtrd (function).
• %%checon (function).
• %%checon_3 (function).
• %%checon_rook (function).
• %%cheequb (function).
• %%cheev (function).
• %%cheev_2stage (function).
• %%cheevd (function).
• %%cheevd_2stage (function).
• %%cheevr (function).
• %%cheevr_2stage (function).
• %%cheevx (function).
• %%cheevx_2stage (function).
• %%chegs2 (function).
• %%chegst (function).
• %%chegv (function).
• %%chegv_2stage (function).
• %%chegvd (function).
• %%chegvx (function).
• %%cherfs (function).
• %%cherfsx (function).
• %%chesv (function).
• %%chesv_aa (function).
• %%chesv_aa_2stage (function).
• %%chesv_rk (function).
• %%chesv_rook (function).
• %%chesvx (function).
• %%chesvxx (function).
• %%cheswapr (function).
• %%chetd2 (function).
• %%chetf2 (function).
• %%chetf2_rk (function).
• %%chetf2_rook (function).
• %%chetrd (function).
• %%chetrd_2stage (function).
• %%chetrd_he2hb (function).
• %%chetrf (function).
• %%chetrf_aa (function).
• %%chetrf_aa_2stage (function).
• %%chetrf_rk (function).
• %%chetrf_rook (function).
• %%chetri (function).
• %%chetri2 (function).
• %%chetri2x (function).
• %%chetri_3 (function).
• %%chetri_3x (function).
• %%chetri_rook (function).
• %%chetrs (function).
• %%chetrs2 (function).
• %%chetrs_3 (function).
• %%chetrs_aa (function).
• %%chetrs_aa_2stage (function).
• %%chetrs_rook (function).
• %%chfrk (function).
• %%chgeqz (function).
• %%chla_transtype (function).
• %%chpcon (function).
• %%chpev (function).
• %%chpevd (function).
• %%chpevx (function).
• %%chpgst (function).
• %%chpgv (function).
• %%chpgvd (function).
• %%chpgvx (function).
• %%chprfs (function).
• %%chpsv (function).
• %%chpsvx (function).
• %%chptrd (function).
• %%chptrf (function).
• %%chptri (function).
• %%chptrs (function).
• %%chsein (function).
• %%chseqr (function).
• %%cla_gbamv (function).
• %%cla_gbrcond_c (function).
• %%cla_gbrcond_x (function).
• %%cla_gbrfsx_extended (function).
• %%cla_gbrpvgrw (function).
• %%cla_geamv (function).
• %%cla_gercond_c (function).
• %%cla_gercond_x (function).
• %%cla_gerfsx_extended (function).
• %%cla_gerpvgrw (function).
• %%cla_heamv (function).
• %%cla_hercond_c (function).
• %%cla_hercond_x (function).
• %%cla_herfsx_extended (function).
• %%cla_herpvgrw (function).
• %%cla_lin_berr (function).
• %%cla_porcond_c (function).
• %%cla_porcond_x (function).
• %%cla_porfsx_extended (function).
• %%cla_porpvgrw (function).
• %%cla_syamv (function).
• %%cla_syrcond_c (function).
• %%cla_syrcond_x (function).
• %%cla_syrfsx_extended (function).
• %%cla_syrpvgrw (function).
• %%cla_wwaddw (function).
• %%clabrd (function).
• %%clacgv (function).
• %%clacn2 (function).
• %%clacon (function).
• %%clacp2 (function).
• %%clacpy (function).
• %%clacrm (function).
• %%clacrt (function).
• %%cladiv (function).
• %%claed0 (function).
• %%claed7 (function).
• %%claed8 (function).
• %%claein (function).
• %%claesy (function).
• %%claev2 (function).
• %%clag2z (function).
• %%clags2 (function).
• %%clagtm (function).
• %%clahef (function).
• %%clahef_aa (function).
• %%clahef_rk (function).
• %%clahef_rook (function).
• %%clahqr (function).
• %%clahr2 (function).
• %%claic1 (function).
• %%clals0 (function).
• %%clalsa (function).
• %%clalsd (function).
• %%clamswlq (function).
• %%clamtsqr (function).
• %%clangb (function).
• %%clange (function).
• %%clangt (function).
• %%clanhb (function).
• %%clanhe (function).
• %%clanhf (function).
• %%clanhp (function).
• %%clanhs (function).
• %%clanht (function).
• %%clansb (function).
• %%clansp (function).