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Remove RFP code from LAPACK2 module #154

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Apr 29, 2025
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Remove RFP code from LAPACK2 module #154

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363 changes: 0 additions & 363 deletions src/lapack.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -815,367 +815,4 @@ for (f, elty) in ((:dtgevc_, :Float64), (:stgevc_, :Float32))
end
end


# Rectangular full packed format

## Symmetric rank-k operation for matrix in RFP format.
for (f, elty, relty) in (
(:dsfrk_, :Float64, :Float64),
(:ssfrk_, :Float32, :Float32),
(:zhfrk_, :ComplexF64, :Float64),
(:chfrk_, :ComplexF32, :Float32),
)

@eval begin
function sfrk!(
transr::Char,
uplo::Char,
trans::Char,
alpha::Real,
A::StridedMatrix{$elty},
beta::Real,
C::StridedVector{$elty},
)
chkuplo(uplo)
chkstride1(A)
if trans in ('N', 'n')
n, k = size(A)
elseif trans in ('T', 't', 'C', 'c')
k, n = size(A)
end
lda = max(1, stride(A, 2))

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ref{BlasInt},
Ref{$relty},
Ptr{$elty},
Ref{BlasInt},
Ref{$relty},
Ptr{$elty},
),
transr,
uplo,
trans,
n,
k,
alpha,
A,
lda,
beta,
C,
)
C
end
end
end

# Cholesky factorization of a real symmetric positive definite matrix A
for (f, elty) in (
(:dpftrf_, :Float64),
(:spftrf_, :Float32),
(:zpftrf_, :ComplexF64),
(:cpftrf_, :ComplexF32),
)

@eval begin
function pftrf!(transr::Char, uplo::Char, A::StridedVector{$elty})
chkuplo(uplo)
n = round(Int, div(sqrt(8length(A)), 2))
info = Vector{BlasInt}(undef, 1)

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(Ref{UInt8}, Ref{UInt8}, Ref{BlasInt}, Ptr{$elty}, Ptr{BlasInt}),
transr,
uplo,
n,
A,
info,
)
A
end
end
end

# Computes the inverse of a (real) symmetric positive definite matrix A using the Cholesky factorization
for (f, elty) in (
(:dpftri_, :Float64),
(:spftri_, :Float32),
(:zpftri_, :ComplexF64),
(:cpftri_, :ComplexF32),
)

@eval begin
function pftri!(transr::Char, uplo::Char, A::StridedVector{$elty})
chkuplo(uplo)
n = round(Int, div(sqrt(8length(A)), 2))
info = Vector{BlasInt}(undef, 1)

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(Ref{UInt8}, Ref{UInt8}, Ref{BlasInt}, Ptr{$elty}, Ptr{BlasInt}),
transr,
uplo,
n,
A,
info,
)

A
end
end
end

# DPFTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization
for (f, elty) in (
(:dpftrs_, :Float64),
(:spftrs_, :Float32),
(:zpftrs_, :ComplexF64),
(:cpftrs_, :ComplexF32),
)

@eval begin
function pftrs!(
transr::Char,
uplo::Char,
A::StridedVector{$elty},
B::StridedVecOrMat{$elty},
)
chkuplo(uplo)
chkstride1(B)
n = round(Int, div(sqrt(8length(A)), 2))
if n != size(B, 1)
throw(DimensionMismatch("B has first dimension $(size(B,1)) but needs $n"))
end
nhrs = size(B, 2)
ldb = max(1, stride(B, 2))
info = Vector{BlasInt}(undef, 1)

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ref{BlasInt},
Ptr{$elty},
Ptr{$elty},
Ref{BlasInt},
Ptr{BlasInt},
),
transr,
uplo,
n,
nhrs,
A,
B,
ldb,
info,
)

B
end
end
end

# Solves a matrix equation (one operand is a triangular matrix in RFP format)
for (f, elty) in (
(:dtfsm_, :Float64),
(:stfsm_, :Float32),
(:ztfsm_, :ComplexF64),
(:ctfsm_, :ComplexF32),
)

@eval begin
function tfsm!(
transr::Char,
side::Char,
uplo::Char,
trans::Char,
diag::Char,
alpha::$elty,
A::StridedVector{$elty},
B::StridedVecOrMat{$elty},
)
chkuplo(uplo)
chkside(side)
chkdiag(diag)
chkstride1(B)
m, n = size(B, 1), size(B, 2)
if round(Int, div(sqrt(8length(A)), 2)) != m
throw(
DimensionMismatch(
"First dimension of B must equal $(round(Int, div(sqrt(8length(A)), 2))), got $m",
),
)
end
ldb = max(1, stride(B, 2))

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{UInt8},
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ref{BlasInt},
Ref{$elty},
Ptr{$elty},
Ptr{$elty},
Ref{BlasInt},
),
transr,
side,
uplo,
trans,
diag,
m,
n,
alpha,
A,
B,
ldb,
)

return B
end
end
end

# Computes the inverse of a triangular matrix A stored in RFP format.
for (f, elty) in (
(:dtftri_, :Float64),
(:stftri_, :Float32),
(:ztftri_, :ComplexF64),
(:ctftri_, :ComplexF32),
)

@eval begin
function tftri!(transr::Char, uplo::Char, diag::Char, A::StridedVector{$elty})
chkuplo(uplo)
chkdiag(diag)
n = round(Int, div(sqrt(8length(A)), 2))
info = Vector{BlasInt}(undef, 1)

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ptr{$elty},
Ptr{BlasInt},
),
transr,
uplo,
diag,
n,
A,
info,
)

A
end
end
end

# Copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR)
for (f, elty) in (
(:dtfttr_, :Float64),
(:stfttr_, :Float32),
(:ztfttr_, :ComplexF64),
(:ctfttr_, :ComplexF32),
)

@eval begin
function tfttr!(transr::Char, uplo::Char, Arf::StridedVector{$elty})
chkuplo(uplo)
n = round(Int, div(sqrt(8length(Arf)), 2))
info = Vector{BlasInt}(undef, 1)
A = similar(Arf, $elty, n, n)

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ptr{$elty},
Ptr{$elty},
Ref{BlasInt},
Ptr{BlasInt},
),
transr,
uplo,
n,
Arf,
A,
n,
info,
)

A
end
end
end

# Copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF).
for (f, elty) in (
(:dtrttf_, :Float64),
(:strttf_, :Float32),
(:ztrttf_, :ComplexF64),
(:ctrttf_, :ComplexF32),
)

@eval begin
function trttf!(transr::Char, uplo::Char, A::StridedMatrix{$elty})
chkuplo(uplo)
chkstride1(A)
n = size(A, 1)
lda = max(1, stride(A, 2))
info = Vector{BlasInt}(undef, 1)
Arf = similar(A, $elty, div(n * (n + 1), 2))

ccall(
(@blasfunc($f), liblapack_name),
Cvoid,
(
Ref{UInt8},
Ref{UInt8},
Ref{BlasInt},
Ptr{$elty},
Ref{BlasInt},
Ptr{$elty},
Ptr{BlasInt},
),
transr,
uplo,
n,
A,
lda,
Arf,
info,
)

Arf
end
end
end

end
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