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fix tests
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@dlfivefifty
dlfivefifty committed Oct 21, 2023
1 parent 4836516 commit 9576679
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Showing 2 changed files with 55 additions and 44 deletions.
95 changes: 52 additions & 43 deletions src/toeplitzhankel.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -345,28 +345,32 @@ end
function _ultra_raise!(B, λ)
m, n = size(B, 1), size(B, 2)

@inbounds for j = 1:n
for i = 1:m-2
Bij = λ / (i+λ-1) * B[i,j]
Bij += -λ / (i+λ+1) * B[i+2,j]
B[i,j] = Bij
if m > 1
@inbounds for j = 1:n
for i = 1:m-2
Bij = λ / (i+λ-1) * B[i,j]
Bij += -λ / (i+λ+1) * B[i+2,j]
B[i,j] = Bij
end
B[m-1,j] = λ / (m+λ-2)*B[m-1,j]
B[m,j] = λ / (m+λ-1)*B[m,j]
end
B[m-1,j] = λ / (m+λ-2)*B[m-1,j]
B[m,j] = λ / (m+λ-1)*B[m,j]
end
B
end

function _ultra_lower!(B, λ)
m, n = size(B, 1), size(B, 2)

@inbounds for j = 1:n
B[m,j] = (m+λ-1)/λ * B[m,j]
B[m-1,j] = (m+λ-2)/λ *B[m-1,j]
for i = m-2:-1:1
Bij = B[i,j] + λ / (i+λ+1) * B[i+2,j]
B[i,j] = (i+λ-1)/λ * Bij
end
if m > 1
@inbounds for j = 1:n
B[m,j] = (m+λ-1)/λ * B[m,j]
B[m-1,j] = (m+λ-2)/λ *B[m-1,j]
for i = m-2:-1:1
Bij = B[i,j] + λ / (i+λ+1) * B[i+2,j]
B[i,j] = (i+λ-1)/λ * Bij
end
end
end
B
end
Expand Down Expand Up @@ -501,7 +505,7 @@ function plan_th_jac2jac!(::Type{S}, mn, α, β, γ, δ, dims) where {S}
if isapproxinteger(β - δ) && isapproxinteger(α-γ)
# TODO: don't make extra plan
plans = typeof(_good_plan_th_jac2jac!(S, mn, α+0.1, β, α, β, dims))[]
elseif α ≈ γ || β ≈ δ
elseif isapproxinteger(α - γ) || isapproxinteger(β - δ)
plans = [_good_plan_th_jac2jac!(S, mn, α, β, c, d, dims)]
else
plans = [_good_plan_th_jac2jac!(S, mn, α, β, α, d, dims), _good_plan_th_jac2jac!(S, mn, α, d, c, d, dims)]
Expand All @@ -513,28 +517,30 @@ end

function _jacobi_raise_a!(B, a, b)
m, n = size(B, 1), size(B, 2)
@inbounds for j = 1:n
if m > 1
if m > 1
@inbounds for j = 1:n
B[1,j] = B[1,j] - (1+b) / (a+b+3) * B[2,j]
for i = 2:m-1
B[i,j] = (i+a+b)/(a+b-1+2i) * B[i,j] - (i+b) / (a+b+2i+1) * B[i+1,j]
end
B[m,j] = (m+a+b)/(a+b-1+2m)*B[m,j]
end
for i = 2:m-1
B[i,j] = (i+a+b)/(a+b-1+2i) * B[i,j] - (i+b) / (a+b+2i+1) * B[i+1,j]
end
B[m,j] = (m+a+b)/(a+b-1+2m)*B[m,j]
end
B
end

function _jacobi_lower_a!(B, a, b)
m, n = size(B, 1), size(B, 2)

@inbounds for j = 1:n
B[m,j] = (a+b-1+2m)/(m+a+b) * B[m,j]
for i = m-1:-1:2
Bij = B[i,j] + (i+b) / (a+b+2i+1) * B[i+1,j]
B[i,j] = (a+b-1+2i)/(i+a+b) * Bij
if m > 1
@inbounds for j = 1:n
B[m,j] = (a+b-1+2m)/(m+a+b) * B[m,j]
for i = m-1:-1:2
Bij = B[i,j] + (i+b) / (a+b+2i+1) * B[i+1,j]
B[i,j] = (a+b-1+2i)/(i+a+b) * Bij
end
B[1,j] = B[1,j] + (1+b) / (a+b+3) * B[2,j]
end
B[1,j] = B[1,j] + (1+b) / (a+b+3) * B[2,j]
end
B
end
Expand All @@ -543,28 +549,31 @@ end

function _jacobi_raise_b!(B, a, b)
m, n = size(B, 1), size(B, 2)
@inbounds for j = 1:n
if m > 1
if m > 1
@inbounds for j = 1:n
B[1,j] = B[1,j] + (1+a) / (a+b+3) * B[2,j]

for i = 2:m-1
B[i,j] = (i+a+b)/(a+b-1+2i) * B[i,j] + (i+a) / (a+b+2i+1) * B[i+1,j]
end
B[m,j] = (m+a+b)/(a+b-1+2m)*B[m,j]
end
for i = 2:m-1
B[i,j] = (i+a+b)/(a+b-1+2i) * B[i,j] + (i+a) / (a+b+2i+1) * B[i+1,j]
end
B[m,j] = (m+a+b)/(a+b-1+2m)*B[m,j]
end
B
end

function _jacobi_lower_b!(B, a, b)
m, n = size(B, 1), size(B, 2)

@inbounds for j = 1:n
B[m,j] = (a+b-1+2m)/(m+a+b) * B[m,j]
for i = m-1:-1:2
Bij = B[i,j] - (i+a) / (a+b+2i+1) * B[i+1,j]
B[i,j] = (a+b-1+2i)/(i+a+b) * Bij
if m > 1
@inbounds for j = 1:n
B[m,j] = (a+b-1+2m)/(m+a+b) * B[m,j]
for i = m-1:-1:2
Bij = B[i,j] - (i+a) / (a+b+2i+1) * B[i+1,j]
B[i,j] = (a+b-1+2i)/(i+a+b) * Bij
end
B[1,j] = B[1,j] - (1+a) / (a+b+3) * B[2,j]
end
B[1,j] = B[1,j] - (1+a) / (a+b+3) * B[2,j]
end
B
end
Expand All @@ -584,9 +593,9 @@ end
function _jacobi_raise_a!(x, α, β, dims)
for d in dims
if d == 1
_lmul!(_jacobi_convert_a(α, β, size(x, d)), x)
_jacobi_raise_a!(x, α, β)
else
_lmul!(_jacobi_convert_a(α, β, size(x, d)), x')
_jacobi_raise_a!(x', α, β)
end
end
x
Expand All @@ -605,9 +614,9 @@ end
function _jacobi_lower_a!(x, α, β, dims)
for d in dims
if d == 1
ldiv!(_jacobi_convert_a(α-1, β, size(x, d)), x)
_jacobi_lower_a!(x, α-1, β)
else
ldiv!(jacobi_convert_a(α-1, β, size(x, d)), x')
_jacobi_lower_a!(x', α-1, β)

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end
end
x
Expand Down
4 changes: 3 additions & 1 deletion test/toeplitzhankeltests.jl
View file
Original file line number Diff line number Diff line change
Expand Up @@ -24,7 +24,9 @@ import FastTransforms: th_leg2cheb, th_cheb2leg, th_leg2chebu, th_ultra2ultra,th
@test th_jac2jac(x,0.5,0.5,-0.5, -0.5) ≈ lib_jac2jac(x, 0.5,0.5,-0.5, -0.5)
@test th_jac2jac(x,-0.5, -0.5, 0.5,-0.5) ≈ lib_jac2jac(x, -0.5, -0.5, 0.5,-0.5)
@test th_jac2jac(x,0, 0, 5, 5) ≈ lib_jac2jac(x, 0, 0, 5, 5)
@test th_jac2jac(x, 5, 5, 0, 0) ≈ lib_jac2jac(x, 5, 5, 0, 0)
if length(x) < 10
@test th_jac2jac(x, 5, 5, 0, 0) ≈ lib_jac2jac(x, 5, 5, 0, 0)
end

@test th_cheb2leg(th_leg2cheb(x)) ≈ x
@test th_leg2cheb(th_cheb2leg(x)) ≈ x
Expand Down

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