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Stephan Hilb
SemiSmoothNewton.jl
Commits
b726fc91
Commit
b726fc91
authored
Oct 1, 2023
by
Stephan Hilb
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cleanup
parent
784f8442
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4 changed files
src/SemiSmoothNewton.jl
+0
-52
0 additions, 52 deletions
src/SemiSmoothNewton.jl
src/image.jl
+0
-3
0 additions, 3 deletions
src/image.jl
src/mesh.jl
+0
-61
0 additions, 61 deletions
src/mesh.jl
test/runtests.jl
+24
-0
24 additions, 0 deletions
test/runtests.jl
with
24 additions
and
116 deletions
src/SemiSmoothNewton.jl
+
0
−
52
View file @
b726fc91
...
...
@@ -5,56 +5,4 @@ include("function.jl")
include
(
"operator.jl"
)
include
(
"image.jl"
)
function
clip_line
(
r0
,
r1
,
l0
,
l1
)
d_l
=
-
(
l1
[
1
]
-
l0
[
1
])
d_r
=
+
(
l1
[
1
]
-
l0
[
1
])
d_b
=
-
(
l1
[
2
]
-
l0
[
2
])
d_t
=
+
(
l1
[
2
]
-
l0
[
2
])
t_l
=
-
(
r0
[
1
]
-
l0
[
1
])
/
d_l
t_r
=
+
(
r1
[
1
]
-
l0
[
1
])
/
d_r
t_b
=
-
(
r0
[
2
]
-
l0
[
2
])
/
d_b
t_t
=
+
(
r1
[
2
]
-
l0
[
2
])
/
d_t
t0
=
max
(
d_l
<=
0
?
t_l
:
0.
,
d_r
<=
0
?
t_r
:
0.
,
d_b
<=
0
?
t_b
:
0.
,
d_t
<=
0
?
t_t
:
0.
)
t1
=
min
(
d_l
>=
0
?
t_l
:
1.
,
d_r
>=
0
?
t_r
:
1.
,
d_b
>=
0
?
t_b
:
1.
,
d_t
>=
0
?
t_t
:
1.
)
# tolerance on non-intersection
t1
<
t0
+
eps
()
&&
return
false
c0
=
l0
+
t0
*
(
l1
-
l0
)
c1
=
l0
+
t1
*
(
l1
-
l0
)
return
c0
,
c1
end
"project array data onto a grid function"
function
project_array!
(
u
,
img
::
Array
)
vertices
=
u
.
mesh
.
vertices
mesh_box
=
(
reduce
((
a
,
b
)
->
min
.
(
a
,
b
),
vertices
),
reduce
((
a
,
b
)
->
max
.
(
a
,
b
),
vertices
))
for
cell
in
u
.
mesh
.
cells
cell_box
=
(
reduce
((
a
,
b
)
->
min
.
(
a
,
b
),
cell
.
vertices
),
reduce
((
a
,
b
)
->
max
.
(
a
,
b
),
cell
.
vertices
))
u
[
cell
]
end
end
end
# module
This diff is collapsed.
Click to expand it.
src/image.jl
+
0
−
3
View file @
b726fc91
...
...
@@ -15,9 +15,6 @@ function peak_signal_to_noise_ratio(img, img_ref)
return
10
*
log10
(
imax
/
mse
)
end
# FIXME: unused?
from_img
(
img
)
=
permutedims
(
reverse
(
arr
;
dims
=
1
))
eval_neumann
(
img
,
x
)
=
img
[
clamp
.
(
Tuple
(
x
),
axes
(
img
))
...
]
# uses native array indexing, i.e. 1:n
...
...
This diff is collapsed.
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src/mesh.jl
+
0
−
61
View file @
b726fc91
...
...
@@ -97,36 +97,6 @@ cells(mesh::Mesh) = axes(mesh.cells, 2)
vertices
(
mesh
::
Mesh
)
=
axes
(
mesh
.
vertices
,
2
)
vertices
(
mesh
::
Mesh
,
cell
)
=
ntuple
(
i
->
mesh
.
cells
[
i
,
cell
],
nvertices_cell
(
mesh
))
#function Base.getproperty(obj::Mesh, sym::Symbol)
# if sym === :vertices
# return reinterpret(SVector{ndims_space(obj), Float64}, vec(obj.vertices))
# else
# return getfield(obj, sym)
# end
#end
# old grid initialization
# produces regular grid but not suitable for newest vertex bisection
function
init_grid_old
(
m
::
Int
,
n
::
Int
=
m
,
v0
=
(
0.
,
0.
),
v1
=
(
1.
,
1.
))
r1
=
LinRange
(
v0
[
1
],
v1
[
1
],
m
+
1
)
r2
=
LinRange
(
v0
[
2
],
v1
[
2
],
n
+
1
)
coords
=
collect
(
Iterators
.
product
(
r1
,
r2
))
vertices
=
[
x
[
i
]
for
i
in
1
:
2
,
x
in
vec
(
coords
)]
cells
=
Array
{
Int
,
2
}(
undef
,
3
,
2
*
m
*
n
)
vidx
=
LinearIndices
((
m
+
1
,
n
+
1
))
e1
=
CartesianIndex
(
1
,
0
)
e2
=
CartesianIndex
(
0
,
1
)
k
=
0
for
I
in
CartesianIndices
((
m
,
n
))
cells
[
:
,
k
+=
1
]
.=
(
vidx
[
I
],
vidx
[
I
+
e1
],
vidx
[
I
+
e1
+
e2
])
cells
[
:
,
k
+=
1
]
.=
(
vidx
[
I
],
vidx
[
I
+
e1
+
e2
],
vidx
[
I
+
e2
])
end
return
Mesh
(
vertices
,
cells
)
end
# new grid initialization
# produces regular grid suitable for newest vertex bisection
function
init_grid
(
m
::
Int
,
n
::
Int
=
m
,
v0
=
(
0.
,
0.
),
v1
=
(
1.
,
1.
))
...
...
@@ -355,13 +325,6 @@ function geo_contains(A, v)
return
all
(
λ
.>=
0
)
&&
sum
(
λ
)
<=
1
end
#function cell_contains(mesh, cell, v)
# geo = mesh.vertices[:, mesh.cells[:, cell]]
# J = jacobian(x -> geo * [1 - x[1] - x[2], x[1], x[2]], [0., 0.])
# λ = J \ (v - geo[:, 1])
# return all(λ .>= 0) && sum(λ) <= 1
#end
function
vtk_mesh
(
filename
,
mesh
::
Mesh
)
cells
=
[
MeshCell
(
VTKCellTypes
.
VTK_TRIANGLE
,
3
*
(
i
-
1
)
+
1
:
3
*
(
i
-
1
)
+
3
)
for
i
in
axes
(
mesh
.
cells
,
2
)]
...
...
@@ -424,27 +387,3 @@ function elmap(mesh, cell)
@inbounds
view
(
mesh
.
vertices
,
:
,
view
(
mesh
.
cells
,
:
,
cell
)))
return
x
->
A
*
SA
[
1
-
x
[
1
]
-
x
[
2
],
x
[
1
],
x
[
2
]]
end
function
test_mesh
(
mesh
)
# assemble edge -> cells map
edgemap
=
Dict
{
NTuple
{
2
,
Int
},
Vector
{
Int
}}()
for
cell
in
cells
(
mesh
)
vs
=
sort
(
SVector
(
vertices
(
mesh
,
cell
)))
e1
=
(
vs
[
1
],
vs
[
2
])
e2
=
(
vs
[
1
],
vs
[
3
])
e3
=
(
vs
[
2
],
vs
[
3
])
edgemap
[
e1
]
=
push!
(
get!
(
edgemap
,
e1
,
[]),
cell
)
edgemap
[
e2
]
=
push!
(
get!
(
edgemap
,
e2
,
[]),
cell
)
edgemap
[
e3
]
=
push!
(
get!
(
edgemap
,
e3
,
[]),
cell
)
end
for
(
edge
,
cells
)
in
edgemap
@assert
(
1
<=
length
(
cells
)
<=
2
)
end
# are cells positively oriented?
for
cell
in
cells
(
mesh
)
delmap
=
jacobian
(
elmap
(
mesh
,
cell
),
SA
[
0.
,
0.
])
@assert
(
det
(
delmap
)
>
0
)
end
end
This diff is collapsed.
Click to expand it.
test/runtests.jl
+
24
−
0
View file @
b726fc91
...
...
@@ -5,6 +5,30 @@ using SemiSmoothNewton
Random
.
seed!
(
0
)
function
test_mesh
(
mesh
)
# assemble edge -> cells map
edgemap
=
Dict
{
NTuple
{
2
,
Int
},
Vector
{
Int
}}()
for
cell
in
cells
(
mesh
)
vs
=
sort
(
SVector
(
vertices
(
mesh
,
cell
)))
e1
=
(
vs
[
1
],
vs
[
2
])
e2
=
(
vs
[
1
],
vs
[
3
])
e3
=
(
vs
[
2
],
vs
[
3
])
edgemap
[
e1
]
=
push!
(
get!
(
edgemap
,
e1
,
[]),
cell
)
edgemap
[
e2
]
=
push!
(
get!
(
edgemap
,
e2
,
[]),
cell
)
edgemap
[
e3
]
=
push!
(
get!
(
edgemap
,
e3
,
[]),
cell
)
end
for
(
edge
,
cells
)
in
edgemap
@assert
(
1
<=
length
(
cells
)
<=
2
)
end
# are cells positively oriented?
for
cell
in
cells
(
mesh
)
delmap
=
jacobian
(
elmap
(
mesh
,
cell
),
SA
[
0.
,
0.
])
@assert
(
det
(
delmap
)
>
0
)
end
end
@testset
"imaging"
begin
img
=
rand
(
3
,
3
)
mesh
=
init_grid
(
img
)
...
...
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