/usr/share/julia/base/linalg/arpack.jl is in julia 0.3.2-2.
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import ..LinAlg: BlasInt, blas_int, ARPACKException
## aupd and eupd wrappers
function aupd_wrapper(T, matvecA::Function, matvecB::Function, solveSI::Function, n::Integer,
sym::Bool, cmplx::Bool, bmat::ASCIIString,
nev::Integer, ncv::Integer, which::ASCIIString,
tol::Real, maxiter::Integer, mode::Integer, v0::Vector)
lworkl = cmplx ? ncv * (3*ncv + 5) : (sym ? ncv * (ncv + 8) : ncv * (3*ncv + 6) )
TR = cmplx ? T.types[1] : T
TOL = Array(TR, 1)
TOL[1] = tol
v = Array(T, n, ncv)
workd = Array(T, 3*n)
workl = Array(T, lworkl)
rwork = cmplx ? Array(TR, ncv) : Array(TR, 0)
if isempty(v0)
resid = Array(T, n)
info = zeros(BlasInt, 1)
else
resid = deepcopy(v0)
info = ones(BlasInt, 1)
end
iparam = zeros(BlasInt, 11)
ipntr = zeros(BlasInt, (sym && !cmplx) ? 11 : 14)
ido = zeros(BlasInt, 1)
iparam[1] = blas_int(1) # ishifts
iparam[3] = blas_int(maxiter) # maxiter
iparam[7] = blas_int(mode) # mode
zernm1 = 0:(n-1)
while true
if cmplx
naupd(ido, bmat, n, which, nev, TOL, resid, ncv, v, n,
iparam, ipntr, workd, workl, lworkl, rwork, info)
elseif sym
saupd(ido, bmat, n, which, nev, TOL, resid, ncv, v, n,
iparam, ipntr, workd, workl, lworkl, info)
else
naupd(ido, bmat, n, which, nev, TOL, resid, ncv, v, n,
iparam, ipntr, workd, workl, lworkl, info)
end
load_idx = ipntr[1]+zernm1
store_idx = ipntr[2]+zernm1
x = workd[load_idx]
if mode == 1 # corresponds to dsdrv1, dndrv1 or zndrv1
if ido[1] == 1
workd[store_idx] = matvecA(x)
elseif ido[1] == 99
break
else
error("Internal ARPACK error")
end
elseif mode == 3 && bmat == "I" # corresponds to dsdrv2, dndrv2 or zndrv2
if ido[1] == -1 || ido[1] == 1
workd[store_idx] = solveSI(x)
elseif ido[1] == 99
break
else
error("Internal ARPACK error")
end
elseif mode == 2 # corresponds to dsdrv3, dndrv3 or zndrv3
if ido[1] == -1 || ido[1] == 1
tmp = matvecA(x)
if sym
workd[load_idx] = tmp # overwrite as per Remark 5 in dsaupd.f
end
workd[store_idx] = solveSI(tmp)
elseif ido[1] == 2
workd[store_idx] = matvecB(x)
elseif ido[1] == 99
break
else
error("Internal ARPACK error")
end
elseif mode == 3 && bmat == "G" # corresponds to dsdrv4, dndrv4 or zndrv4
if ido[1] == -1
workd[store_idx] = solveSI(matvecB(x))
elseif ido[1] == 1
workd[store_idx] = solveSI(workd[ipntr[3]+zernm1])
elseif ido[1] == 2
workd[store_idx] = matvecB(x)
elseif ido[1] == 99
break
else
error("Internal ARPACK error")
end
else
error("ARPACK mode not yet supported")
end
end
return (resid, v, n, iparam, ipntr, workd, workl, lworkl, rwork, TOL)
end
function eupd_wrapper(T, n::Integer, sym::Bool, cmplx::Bool, bmat::ASCIIString,
nev::Integer, which::ASCIIString, ritzvec::Bool,
TOL::Array, resid, ncv::Integer, v, ldv, sigma, iparam, ipntr,
workd, workl, lworkl, rwork)
howmny = "A"
select = Array(BlasInt, ncv)
info = zeros(BlasInt, 1)
dmap = x->abs(x)
if iparam[7] == 3 # shift-and-invert
dmap = x->abs(1./(x-sigma))
elseif which == "LR" || which == "LA" || which == "BE"
dmap = x->real(x)
elseif which == "SR" || which == "SA"
dmap = x->-real(x)
elseif which == "LI"
dmap = x->imag(x)
elseif which == "SI"
dmap = x->-imag(x)
end
if cmplx
d = Array(T, nev+1)
sigmar = ones(T, 1)*sigma
workev = Array(T, 2ncv)
neupd(ritzvec, howmny, select, d, v, ldv, sigmar, workev,
bmat, n, which, nev, TOL, resid, ncv, v, ldv,
iparam, ipntr, workd, workl, lworkl, rwork, info)
if info[1] != 0; throw(ARPACKException(info[1])); end
p = sortperm(dmap(d[1:nev]), rev=true)
return ritzvec ? (d[p], v[1:n, p],iparam[5],iparam[3],iparam[9],resid) : (d[p],iparam[5],iparam[3],iparam[9],resid)
elseif sym
d = Array(T, nev)
sigmar = ones(T, 1)*sigma
seupd(ritzvec, howmny, select, d, v, ldv, sigmar,
bmat, n, which, nev, TOL, resid, ncv, v, ldv,
iparam, ipntr, workd, workl, lworkl, info)
if info[1] != 0; throw(ARPACKException(info[1])); end
p = sortperm(dmap(d), rev=true)
return ritzvec ? (d[p], v[1:n, p],iparam[5],iparam[3],iparam[9],resid) : (d,iparam[5],iparam[3],iparam[9],resid)
else
dr = Array(T, nev+1)
di = Array(T, nev+1)
fill!(dr,NaN)
fill!(di,NaN)
sigmar = ones(T, 1)*real(sigma)
sigmai = ones(T, 1)*imag(sigma)
workev = Array(T, 3*ncv)
neupd(ritzvec, howmny, select, dr, di, v, ldv, sigmar, sigmai,
workev, bmat, n, which, nev, TOL, resid, ncv, v, ldv,
iparam, ipntr, workd, workl, lworkl, info)
if info[1] != 0; throw(ARPACKException(info[1])); end
evec = complex(Array(T, n, nev+1), Array(T, n, nev+1))
j = 1
while j <= nev
if di[j] == 0
evec[:,j] = v[:,j]
else # For complex conjugate pairs
evec[:,j] = v[:,j] + im*v[:,j+1]
evec[:,j+1] = v[:,j] - im*v[:,j+1]
j += 1
end
j += 1
end
if j == nev+1 && !isnan(di[j])
if di[j] == 0
evec[:,j] = v[:,j]
j += 1
else
error("Arpack unexpected behavior")
end
end
d = complex(dr,di)
if j == nev+1
p = sortperm(dmap(d[1:nev]), rev=true)
else
p = sortperm(dmap(d), rev=true)
p = p[1:nev]
end
return ritzvec ? (d[p], evec[1:n, p],iparam[5],iparam[3],iparam[9],resid) : (d[p],iparam[5],iparam[3],iparam[9],resid)
end
end
for (T, saupd_name, seupd_name, naupd_name, neupd_name) in
((:Float64, :dsaupd_, :dseupd_, :dnaupd_, :dneupd_),
(:Float32, :ssaupd_, :sseupd_, :snaupd_, :sneupd_))
@eval begin
function naupd(ido, bmat, n, evtype, nev, TOL::Array{$T}, resid::Array{$T}, ncv, v::Array{$T}, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl, info)
ccall(($(string(naupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T}, Ptr{BlasInt},
Ptr{BlasInt}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{BlasInt}, Clong, Clong),
ido, bmat, &n, evtype, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, info, sizeof(bmat), sizeof(evtype))
end
function neupd(rvec, howmny, select, dr, di, z, ldz, sigmar, sigmai,
workev::Array{$T}, bmat, n, evtype, nev, TOL::Array{$T}, resid::Array{$T}, ncv, v, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl, info)
ccall(($(string(neupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{$T},
Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{$T}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{Uint8}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T},
Ptr{BlasInt}, Ptr{BlasInt}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T},
Ptr{BlasInt}, Ptr{BlasInt}, Clong, Clong, Clong),
&rvec, howmny, select, dr, di, z, &ldz, sigmar, sigmai,
workev, bmat, &n, evtype, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, info,
sizeof(howmny), sizeof(bmat), sizeof(evtype))
end
function saupd(ido, bmat, n, which, nev, TOL::Array{$T}, resid::Array{$T}, ncv, v::Array{$T}, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl, info)
ccall(($(string(saupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T}, Ptr{BlasInt},
Ptr{BlasInt}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{BlasInt}, Clong, Clong),
ido, bmat, &n, which, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, info, sizeof(bmat), sizeof(which))
end
function seupd(rvec, howmny, select, d, z, ldz, sigma,
bmat, n, evtype, nev, TOL::Array{$T}, resid::Array{$T}, ncv, v::Array{$T}, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl, info)
ccall(($(string(seupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T},
Ptr{Uint8}, Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T}, Ptr{BlasInt}, Ptr{BlasInt},
Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{BlasInt}, Clong, Clong, Clong),
&rvec, howmny, select, d, z, &ldz, sigma,
bmat, &n, evtype, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, info, sizeof(howmny), sizeof(bmat), sizeof(evtype))
end
end
end
for (T, TR, naupd_name, neupd_name) in
((:Complex128, :Float64, :znaupd_, :zneupd_),
(:Complex64, :Float32, :cnaupd_, :cneupd_))
@eval begin
function naupd(ido, bmat, n, evtype, nev, TOL::Array{$TR}, resid::Array{$T}, ncv, v::Array{$T}, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl,
rwork::Array{$TR}, info)
ccall(($(string(naupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{$TR}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T}, Ptr{BlasInt},
Ptr{BlasInt}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt},
Ptr{$TR}, Ptr{BlasInt}),
ido, bmat, &n, evtype, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, rwork, info)
end
function neupd(rvec, howmny, select, d, z, ldz, sigma, workev::Array{$T},
bmat, n, evtype, nev, TOL::Array{$TR}, resid::Array{$T}, ncv, v::Array{$T}, ldv,
iparam, ipntr, workd::Array{$T}, workl::Array{$T}, lworkl,
rwork::Array{$TR}, info)
ccall(($(string(neupd_name)), :libarpack), Void,
(Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt},
Ptr{$T}, Ptr{$T}, Ptr{Uint8}, Ptr{BlasInt}, Ptr{Uint8}, Ptr{BlasInt},
Ptr{$TR}, Ptr{$T}, Ptr{BlasInt}, Ptr{$T}, Ptr{BlasInt}, Ptr{BlasInt},
Ptr{BlasInt}, Ptr{$T}, Ptr{$T}, Ptr{BlasInt}, Ptr{$TR}, Ptr{BlasInt}),
&rvec, howmny, select, d, z, &ldz, sigma, workev,
bmat, &n, evtype, &nev, TOL, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, rwork, info)
end
end
end
end # module ARPACK
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