swh:1:snp:a72e953ecd624a7df6e6196bbdd05851996c5e40
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Tip revision: aa1ad7d8ccb2b9e0e198033384c1be8524f2aaaa authored by Isaiah Norton on 30 December 2014, 03:26:19 UTC
Handle undef refs in jl_copy_ast, fixes #9475
Tip revision: aa1ad7d
linalg.jl
module LinAlg

importall Base
import Base: USE_BLAS64, size, copy, copy_transpose!, power_by_squaring, print_matrix, transpose!

export
# Modules
    LAPACK,
    BLAS,

# Types
    SymTridiagonal,
    Tridiagonal,
    Bidiagonal,
    Woodbury,
    Factorization,
    BunchKaufman,
    Cholesky,
    CholeskyPivoted,
    Eigen,
    GeneralizedEigen,
    GeneralizedSVD,
    GeneralizedSchur,
    Hessenberg,
    LU,
    LDLt,
    QR,
    QRPivoted,
    Schur,
    SVD,
    Hermitian,
    Symmetric,
    Triangular,
    Diagonal,
    UniformScaling,

# Functions
    axpy!,
    bkfact,
    bkfact!,
    chol,
    cholfact,
    cholfact!,
    cond,
    condskeel,
    copy!,
    cross,
    ctranspose,
    det,
    diag,
    diagind,
    diagm,
    diff,
    dot,
    eig,
    eigfact,
    eigfact!,
    eigmax,
    eigmin,
    eigs,
    eigvals,
    eigvecs,
    expm,
    sqrtm,
    eye,
    factorize,
    givens,
    gradient,
    hessfact,
    hessfact!,
    ishermitian,
    isposdef,
    isposdef!,
    issym,
    istril,
    istriu,
    kron,
    ldltfact!,
    ldltfact,
    linreg,
    logdet,
    lu,
    lufact,
    lufact!,
    lyap,
    norm,
    null,
    ordschur!,
    ordschur,
    peakflops,
    pinv,
    qr,
    qrfact!,
    qrfact,
    rank,
    rref,
    scale,
    scale!,
    schur,
    schurfact!,
    schurfact,
    svd,
    svdfact!,
    svdfact,
    svdvals!,
    svdvals,
    sylvester,
    trace,
    transpose,
    tril,
    triu,
    tril!,
    triu!,
    vecnorm,

# Operators
    \,
    /,
    A_ldiv_B!,
    A_ldiv_Bc,
    A_ldiv_Bt,
    A_mul_B!,
    A_mul_Bc,
    A_mul_Bc!,
    A_mul_Bt,
    A_mul_Bt!,
    A_rdiv_Bc,
    A_rdiv_Bt,
    Ac_ldiv_B,
    Ac_ldiv_Bc,
    Ac_mul_B,
    Ac_mul_B!,
    Ac_mul_Bc,
    Ac_mul_Bc!,
    Ac_rdiv_B,
    Ac_rdiv_Bc,
    At_ldiv_B,
    At_ldiv_Bt,
    At_mul_B,
    At_mul_B!,
    At_mul_Bt,
    At_mul_Bt!,
    At_rdiv_B,
    At_rdiv_Bt,

# Constants
    I

typealias BlasFloat Union(Float64,Float32,Complex128,Complex64)
typealias BlasReal Union(Float64,Float32)
typealias BlasComplex Union(Complex128,Complex64)
typealias BlasChar Char

if USE_BLAS64
    typealias BlasInt Int64
    blas_int(x) = int64(x)
else
    typealias BlasInt Int32
    blas_int(x) = int32(x)
end

#Check that stride of matrix/vector is 1
function chkstride1(A::StridedVecOrMat...)
    for a in A
        stride(a,1)== 1 || error("matrix does not have contiguous columns")
    end
end

#Check that matrix is square
function chksquare(A::AbstractMatrix)
    m,n = size(A)
    m == n || throw(DimensionMismatch("matrix is not square"))
    m
end

function chksquare(A...)
    sizes = Int[]
    for a in A
        size(a,1)==size(a,2) || throw(DimensionMismatch("matrix is not square: dimensions are $(size(a))"))
        push!(sizes, size(a,1))
    end
    length(A)==1 ? sizes[1] : sizes
end

#Check that upper/lower (for special matrices) is correctly specified
macro chkuplo()
   :((uplo=='U' || uplo=='L') || throw(ArgumentError("""invalid uplo = $uplo

Valid choices are 'U' (upper) or 'L' (lower).""")))
end

const CHARU = 'U'
const CHARL = 'L'
char_uplo(uplo::Symbol) = uplo == :U ? CHARU : (uplo == :L ? CHARL : throw(ArgumentError("uplo argument must be either :U or :L")))


include("linalg/exceptions.jl")
include("linalg/generic.jl")

include("linalg/blas.jl")
include("linalg/matmul.jl")
include("linalg/lapack.jl")

include("linalg/dense.jl")
include("linalg/tridiag.jl")
include("linalg/triangular.jl")
include("linalg/factorization.jl")
include("linalg/cholesky.jl")
include("linalg/lu.jl")

include("linalg/bunchkaufman.jl")
include("linalg/symmetric.jl")
include("linalg/woodbury.jl")
include("linalg/diagonal.jl")
include("linalg/bidiag.jl")
include("linalg/uniformscaling.jl")
include("linalg/rectfullpacked.jl")
include("linalg/givens.jl")
include("linalg/special.jl")
include("linalg/bitarray.jl")
include("linalg/ldlt.jl")

include("linalg/sparse.jl")
include("linalg/umfpack.jl")
include("linalg/cholmod.jl")

include("linalg/arpack.jl")
include("linalg/arnoldi.jl")

function __init__()
    Base.check_blas()
    if Base.blas_vendor() == :mkl
        ccall((:MKL_Set_Interface_Layer, Base.libblas_name), Void, (Cint,), USE_BLAS64 ? 1 : 0)
    end
end

end # module LinAlg
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