|
1 |
| -using LinearSolve |
| 1 | +using LinearSolve, LinearAlgebra |
2 | 2 | using Test
|
3 | 3 |
|
4 |
| -@testset "LinearSolve.jl" begin |
5 |
| - using LinearAlgebra |
6 |
| - n = 8 |
| 4 | +n = 8 |
7 | 5 |
|
8 |
| - A = Matrix(I,n,n) |
9 |
| - b = ones(n) |
10 |
| - A1 = A/1; b1 = rand(n); x1 = zero(b) |
11 |
| - A2 = A/2; b2 = rand(n); x2 = zero(b) |
12 |
| - A3 = A/3; b3 = rand(n); x3 = zero(b) |
| 6 | +A = Matrix(I,n,n) |
| 7 | +b = ones(n) |
| 8 | +A1 = A/1; b1 = rand(n); x1 = zero(b) |
| 9 | +A2 = A/2; b2 = rand(n); x2 = zero(b) |
13 | 10 |
|
14 |
| - prob1 = LinearProblem(A1, b1; u0=x1) |
15 |
| - prob2 = LinearProblem(A2, b2; u0=x2) |
16 |
| - prob3 = LinearProblem(A3, b3; u0=x3) |
| 11 | +prob1 = LinearProblem(A1, b1; u0=x1) |
| 12 | +prob2 = LinearProblem(A2, b2; u0=x2) |
17 | 13 |
|
18 |
| - function test_interface(alg, kwargs, prob1, prob2, prob3) |
19 |
| - A1 = prob1.A; b1 = prob1.b; x1 = prob1.u0 |
20 |
| - A2 = prob2.A; b2 = prob2.b; x2 = prob2.u0 |
21 |
| - A3 = prob3.A; b3 = prob3.b; x3 = prob3.u0 |
| 14 | +function test_interface(alg, prob1, prob2, prob3) |
| 15 | + A1 = prob1.A; b1 = prob1.b; x1 = prob1.u0 |
| 16 | + A2 = prob2.A; b2 = prob2.b; x2 = prob2.u0 |
22 | 17 |
|
23 |
| - @eval begin |
24 |
| - y = solve($prob1, $alg(;$kwargs...)) |
25 |
| - @test $A1 * y ≈ $b1 # out of place |
26 |
| - @test $A1 * $x1 ≈ $b1 # in place |
| 18 | + y = solve(prob1, alg) |
| 19 | + @test A1 * y ≈ b1 |
27 | 20 |
|
28 |
| - y = $alg(;$kwargs...)($x2, $A2, $b2) # alg is callable |
29 |
| - @test $A2 * y ≈ $b2 |
30 |
| - @test $A2 * $x2 ≈ $b2 |
| 21 | + cache = SciMLBase.init(prob1,alg) # initialize cache |
| 22 | + y = solve(cache) |
| 23 | + @test A1 * y ≈ b1 |
31 | 24 |
|
32 |
| - cache = SciMLBase.init($prob1, |
33 |
| - $alg(;$kwargs...)) # initialize cache |
34 |
| - y = cache($x3, $A1, $b1) # cache is callable |
35 |
| - @test $A1 * y ≈ $b1 |
36 |
| - @test $A1 * $x3 ≈ $b1 |
| 25 | + cache = LinearSolve.set_A(cache,A2) |
| 26 | + y = solve(cache) |
| 27 | + @test A2 * y ≈ b1 |
37 | 28 |
|
38 |
| - y = cache($x3, $A1, $b2) # reuse factorization |
39 |
| - @test $A1 * y ≈ $b2 # with different RHS |
40 |
| - @test $A1 * $x3 ≈ $b2 |
| 29 | + cache = LinearSolve.set_b(cache,b2) |
| 30 | + y = solve(cache) |
| 31 | + @test A2 * y ≈ b2 |
41 | 32 |
|
42 |
| - y = cache($x3, $A2, $b3) # new factorization |
43 |
| - @test $A2 * y ≈ $b3 # same old cache |
44 |
| - @test $A2 * $x3 ≈ $b3 |
45 |
| - end |
46 |
| - |
47 |
| - x1 .= 0.0 |
48 |
| - x2 .= 0.0 |
49 |
| - x3 .= 0.0 |
50 |
| - |
51 |
| - return |
52 |
| - end |
53 |
| - |
54 |
| - @testset "factorization" begin |
55 |
| - kwargs = :() |
56 |
| - for alg in ( |
57 |
| - :LUFactorization, |
58 |
| - :QRFactorization, |
59 |
| - :SVDFactorization, |
60 |
| - # :DefaultLinSolve |
61 |
| - ) |
62 |
| - @testset "$alg" begin |
63 |
| - test_interface(alg, kwargs, prob1, prob2, prob3) |
64 |
| - end |
65 |
| - end |
| 33 | + return |
| 34 | +end |
66 | 35 |
|
67 |
| - alg = :DefaultFactorization |
| 36 | +@testset "Concrete Factorizations" begin |
| 37 | + for alg in ( |
| 38 | + LUFactorization(), |
| 39 | + QRFactorization(), |
| 40 | + SVDFactorization(), |
| 41 | + # DefaultLinSolve() |
| 42 | + ) |
68 | 43 | @testset "$alg" begin
|
69 |
| - for fact_alg in ( |
70 |
| - :lu, :lu!, |
71 |
| - :qr, :qr!, |
72 |
| - :cholesky, :cholesky!, |
73 |
| - # :ldlt, :ldlt!, |
74 |
| - :bunchkaufman, :bunchkaufman!, |
75 |
| - :lq, :lq!, |
76 |
| - :svd, :svd!, |
77 |
| - :(LinearAlgebra.factorize), |
78 |
| - ) |
79 |
| - @testset "fact_alg = $fact_alg" begin |
80 |
| - kwargs = :(fact_alg=$fact_alg,) |
81 |
| - test_interface(alg, kwargs, prob1, prob2, prob3) |
82 |
| - end |
83 |
| - end |
| 44 | + test_interface(alg, prob1, prob2, prob3) |
84 | 45 | end
|
85 |
| - |
86 | 46 | end
|
| 47 | +end |
87 | 48 |
|
88 |
| - @testset "KrylovJL" begin |
89 |
| - kwargs = :(ifverbose=false, abstol=1e-8, reltol=1e-8, maxiter=30, |
90 |
| - gmres_restart=5) |
91 |
| - for alg in ( |
92 |
| - :KrylovJL, |
93 |
| - :KrylovJL_CG, |
94 |
| - :KrylovJL_GMRES, |
95 |
| - # :KrylovJL_BICGSTAB, |
96 |
| - :KrylovJL_MINRES, |
97 |
| - ) |
98 |
| - @testset "$alg" begin |
99 |
| - test_interface(alg, kwargs, prob1, prob2, prob3) |
100 |
| - end |
| 49 | +@testset "Generic Factorizations" begin |
| 50 | + for fact_alg in ( |
| 51 | + lu, lu!, |
| 52 | + qr, qr!, |
| 53 | + cholesky, cholesky!, |
| 54 | + # ldlt, ldlt!, |
| 55 | + bunchkaufman, bunchkaufman!, |
| 56 | + lq, lq!, |
| 57 | + svd, svd!, |
| 58 | + LinearAlgebra.factorize, |
| 59 | + ) |
| 60 | + @testset "fact_alg = $fact_alg" begin |
| 61 | + alg = DefaultFactorization(fact_alg=fact_alg) |
| 62 | + test_interface(alg, prob1, prob2, prob3) |
101 | 63 | end
|
102 | 64 | end
|
| 65 | +end |
103 | 66 |
|
104 |
| - @testset "IterativeSolversJL" begin |
105 |
| - kwargs = :(ifverbose=false, abstol=1e-8, reltol=1e-8, maxiter=30, |
106 |
| - gmres_restart=5) |
107 |
| - for alg in ( |
108 |
| - :IterativeSolversJL, |
109 |
| - :IterativeSolversJL_CG, |
110 |
| - :IterativeSolversJL_GMRES, |
111 |
| - # :IterativeSolversJL_BICGSTAB, |
112 |
| - :IterativeSolversJL_MINRES, |
113 |
| - ) |
114 |
| - @testset "$alg" begin |
115 |
| - test_interface(alg, kwargs, prob1, prob2, prob3) |
116 |
| - end |
| 67 | +@testset "KrylovJL" begin |
| 68 | + kwargs = (;ifverbose=false, abstol=1e-8, reltol=1e-8, maxiter=30, |
| 69 | + gmres_restart=5) |
| 70 | + for alg in ( |
| 71 | + ("Default",KrylovJL(kwargs...)), |
| 72 | + ("CG",KrylovJL_CG(kwargs...)), |
| 73 | + ("GMRES",KrylovJL_GMRES(kwargs...)), |
| 74 | + # ("BICGSTAB",KrylovJL_BICGSTAB(kwargs...)), |
| 75 | + ("MINRES",KrylovJL_MINRES(kwargs...)), |
| 76 | + ) |
| 77 | + @testset "$(alg[1])" begin |
| 78 | + test_interface(alg[2], prob1, prob2, prob3) |
117 | 79 | end
|
118 | 80 | end
|
| 81 | +end |
119 | 82 |
|
| 83 | +@testset "IterativeSolversJL" begin |
| 84 | + kwargs = (;ifverbose=false, abstol=1e-8, reltol=1e-8, maxiter=30, |
| 85 | + gmres_restart=5) |
| 86 | + for alg in ( |
| 87 | + ("Default", IterativeSolversJL(kwargs...)), |
| 88 | + ("CG", IterativeSolversJL_CG(kwargs...)), |
| 89 | + ("GMRES",IterativeSolversJL_GMRES(kwargs...)), |
| 90 | + # ("BICGSTAB",IterativeSolversJL_BICGSTAB(kwargs...)), |
| 91 | + ("MINRES",IterativeSolversJL_MINRES(kwargs...)), |
| 92 | + ) |
| 93 | + @testset "$(alg[1])" begin |
| 94 | + test_interface(alg[2], prob1, prob2, prob3) |
| 95 | + end |
| 96 | + end |
120 | 97 | end
|
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