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Test Krylov macros #626

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Sep 9, 2022
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Test Krylov macros #626

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151 changes: 75 additions & 76 deletions src/krylov_utils.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -175,6 +175,49 @@ function to_boundary(x :: Vector{T}, d :: Vector{T},
return roots # `σ1` and `σ2`
end

"""
s = vec2str(x; ndisp)

Display an array in the form

[ -3.0e-01 -5.1e-01 1.9e-01 ... -2.3e-01 -4.4e-01 2.4e-01 ]

with (ndisp - 1)/2 elements on each side.
"""
function vec2str(x :: AbstractVector{T}; ndisp :: Int=7) where T <: Union{AbstractFloat, Missing}
n = length(x)
if n ≤ ndisp
ndisp = n
nside = n
else
nside = max(1, div(ndisp - 1, 2))
end
s = "["
i = 1
while i ≤ nside
if x[i] !== missing
s *= @sprintf("%8.1e ", x[i])
else
s *= " ✗✗✗✗ "
end
i += 1
end
if i ≤ div(n, 2)
s *= "... "
end
i = max(i, n - nside + 1)
while i ≤ n
if x[i] !== missing
s *= @sprintf("%8.1e ", x[i])
else
s *= " ✗✗✗✗ "
end
i += 1
end
s *= "]"
return s
end

"""
S = ktypeof(v)

Expand Down Expand Up @@ -209,76 +252,75 @@ end

Create an AbstractVector of storage type `S` of length `n` only composed of zero.
"""
@inline kzeros(S, n) = fill!(S(undef, n), zero(eltype(S)))
kzeros(S, n) = fill!(S(undef, n), zero(eltype(S)))

"""
v = kones(S, n)

Create an AbstractVector of storage type `S` of length `n` only composed of one.
"""
@inline kones(S, n) = fill!(S(undef, n), one(eltype(S)))
kones(S, n) = fill!(S(undef, n), one(eltype(S)))

@inline allocate_if(bool, solver, v, S, n) = bool && isempty(solver.:($v)) && (solver.:($v) = S(undef, n))
allocate_if(bool, solver, v, S, n) = bool && isempty(solver.:($v)) && (solver.:($v) = S(undef, n))

@inline kdisplay(iter, verbose) = (verbose > 0) && (mod(iter, verbose) == 0)
kdisplay(iter, verbose) = (verbose > 0) && (mod(iter, verbose) == 0)

@inline mulorldiv!(y, P, x, ldiv::Bool) = ldiv ? ldiv!(y, P, x) : mul!(y, P, x)
mulorldiv!(y, P, x, ldiv::Bool) = ldiv ? ldiv!(y, P, x) : mul!(y, P, x)

@inline krylov_dot(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasReal = BLAS.dot(n, x, dx, y, dy)
@inline krylov_dot(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasComplex = BLAS.dotc(n, x, dx, y, dy)
@inline krylov_dot(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: Number = dot(x, y)
kdot(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasReal = BLAS.dot(n, x, dx, y, dy)
kdot(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasComplex = BLAS.dotc(n, x, dx, y, dy)
kdot(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: FloatOrComplex = dot(x, y)

@inline krylov_dotr(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: AbstractFloat = krylov_dot(n, x, dx, y, dy)
@inline krylov_dotr(n :: Integer, x :: AbstractVector{Complex{T}}, dx :: Integer, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = real(krylov_dot(n, x, dx, y, dy))
kdotr(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: AbstractFloat = kdot(n, x, dx, y, dy)
kdotr(n :: Integer, x :: AbstractVector{Complex{T}}, dx :: Integer, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = real(kdot(n, x, dx, y, dy))

@inline krylov_norm2(n :: Integer, x :: Vector{T}, dx :: Integer) where T <: BLAS.BlasFloat = BLAS.nrm2(n, x, dx)
@inline krylov_norm2(n :: Integer, x :: AbstractVector{T}, dx :: Integer) where T <: Number = norm(x)
knrm2(n :: Integer, x :: Vector{T}, dx :: Integer) where T <: BLAS.BlasFloat = BLAS.nrm2(n, x, dx)
knrm2(n :: Integer, x :: AbstractVector{T}, dx :: Integer) where T <: FloatOrComplex = norm(x)

@inline krylov_scal!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer) where T <: BLAS.BlasFloat = BLAS.scal!(n, s, x, dx)
@inline krylov_scal!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer) where T <: Number = (x .*= s)
@inline krylov_scal!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer) where T <: AbstractFloat = krylov_scal!(n, Complex{T}(s), x, dx)
kscal!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer) where T <: BLAS.BlasFloat = BLAS.scal!(n, s, x, dx)
kscal!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer) where T <: FloatOrComplex = (x .*= s)
kscal!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer) where T <: AbstractFloat = kscal!(n, Complex{T}(s), x, dx)

@inline krylov_axpy!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.axpy!(n, s, x, dx, y, dy)
@inline krylov_axpy!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: Number = axpy!(s, x, y)
@inline krylov_axpy!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = krylov_axpy!(n, Complex{T}(s), x, dx, y, dy)
kaxpy!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.axpy!(n, s, x, dx, y, dy)
kaxpy!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: FloatOrComplex = axpy!(s, x, y)
kaxpy!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = kaxpy!(n, Complex{T}(s), x, dx, y, dy)

@inline krylov_axpby!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer, t :: T, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.axpby!(n, s, x, dx, t, y, dy)
@inline krylov_axpby!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer, t :: T, y :: AbstractVector{T}, dy :: Integer) where T <: Number = axpby!(s, x, t, y)
@inline krylov_axpby!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: Complex{T}, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = krylov_axpby!(n, Complex{T}(s), x, dx, t, y, dy)
@inline krylov_axpby!(n :: Integer, s :: Complex{T}, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: T, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = krylov_axpby!(n, s, x, dx, Complex{T}(t), y, dy)
@inline krylov_axpby!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: T, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = krylov_axpby!(n, Complex{T}(s), x, dx, Complex{T}(t), y, dy)
kaxpby!(n :: Integer, s :: T, x :: Vector{T}, dx :: Integer, t :: T, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.axpby!(n, s, x, dx, t, y, dy)
kaxpby!(n :: Integer, s :: T, x :: AbstractVector{T}, dx :: Integer, t :: T, y :: AbstractVector{T}, dy :: Integer) where T <: FloatOrComplex = axpby!(s, x, t, y)
kaxpby!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: Complex{T}, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = kaxpby!(n, Complex{T}(s), x, dx, t, y, dy)
kaxpby!(n :: Integer, s :: Complex{T}, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: T, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = kaxpby!(n, s, x, dx, Complex{T}(t), y, dy)
kaxpby!(n :: Integer, s :: T, x :: AbstractVector{Complex{T}}, dx :: Integer, t :: T, y :: AbstractVector{Complex{T}}, dy :: Integer) where T <: AbstractFloat = kaxpby!(n, Complex{T}(s), x, dx, Complex{T}(t), y, dy)

@inline krylov_copy!(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.blascopy!(n, x, dx, y, dy)
@inline krylov_copy!(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: Number = copyto!(y, x)
kcopy!(n :: Integer, x :: Vector{T}, dx :: Integer, y :: Vector{T}, dy :: Integer) where T <: BLAS.BlasFloat = BLAS.blascopy!(n, x, dx, y, dy)
kcopy!(n :: Integer, x :: AbstractVector{T}, dx :: Integer, y :: AbstractVector{T}, dy :: Integer) where T <: FloatOrComplex = copyto!(y, x)

# the macros are just for readability, so we don't have to write the increments (always equal to 1)

macro kdot(n, x, y)
return esc(:(krylov_dot($n, $x, 1, $y, 1)))
return esc(:(Krylov.kdot($n, $x, 1, $y, 1)))
end

macro kdotr(n, x, y)
return esc(:(krylov_dotr($n, $x, 1, $y, 1)))
return esc(:(Krylov.kdotr($n, $x, 1, $y, 1)))
end

macro knrm2(n, x)
return esc(:(krylov_norm2($n, $x, 1)))
return esc(:(Krylov.knrm2($n, $x, 1)))
end

macro kscal!(n, s, x)
return esc(:(krylov_scal!($n, $s, $x, 1)))
return esc(:(Krylov.kscal!($n, $s, $x, 1)))
end

macro kaxpy!(n, s, x, y)
return esc(:(krylov_axpy!($n, $s, $x, 1, $y, 1)))
return esc(:(Krylov.kaxpy!($n, $s, $x, 1, $y, 1)))
end

macro kaxpby!(n, s, x, t, y)
return esc(:(krylov_axpby!($n, $s, $x, 1, $t, $y, 1)))
return esc(:(Krylov.kaxpby!($n, $s, $x, 1, $t, $y, 1)))
end

macro kcopy!(n, x, y)
return esc(:(krylov_copy!($n, $x, 1, $y, 1)))
return esc(:(Krylov.kcopy!($n, $x, 1, $y, 1)))
end

macro kswap(x, y)
Expand All @@ -292,46 +334,3 @@ end
macro kref!(n, x, y, c, s)
return esc(:(reflect!($x, $y, $c, $s)))
end

"""
s = vec2str(x; ndisp)

Display an array in the form

[ -3.0e-01 -5.1e-01 1.9e-01 ... -2.3e-01 -4.4e-01 2.4e-01 ]

with (ndisp - 1)/2 elements on each side.
"""
function vec2str(x :: AbstractVector{T}; ndisp :: Int=7) where T <: Union{AbstractFloat, Missing}
n = length(x)
if n ≤ ndisp
ndisp = n
nside = n
else
nside = max(1, div(ndisp - 1, 2))
end
s = "["
i = 1
while i ≤ nside
if x[i] !== missing
s *= @sprintf("%8.1e ", x[i])
else
s *= " ✗✗✗✗ "
end
i += 1
end
if i ≤ div(n, 2)
s *= "... "
end
i = max(i, n - nside + 1)
while i ≤ n
if x[i] !== missing
s *= @sprintf("%8.1e ", x[i])
else
s *= " ✗✗✗✗ "
end
i += 1
end
s *= "]"
return s
end
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