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NonlinearSolve.jl/lib/NonlinearSolveFirstOrder/test/rootfind_tests.jl
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NonlinearSolve.jl/lib/NonlinearSolveFirstOrder/test/rootfind_tests.jl
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|
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||
| fj_scalar = @closure (Jx, x) -> begin | ||
| fj_scalar = @closure (Jx, | ||
| x) -> begin |
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| x) -> begin | |
| x) -> begin |
| cx, | ||
| user_ctx) -> begin |
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| cx, | |
| user_ctx) -> begin | |
| cx, | |
| user_ctx) -> begin |
| J, | ||
| _, | ||
| user_ctx) -> begin |
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| J, | |
| _, | |
| user_ctx) -> begin | |
| J, | |
| _, | |
| user_ctx) -> begin |
| J, | ||
| _, | ||
| user_ctx) -> begin |
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| J, | |
| _, | |
| user_ctx) -> begin | |
| J, | |
| _, | |
| user_ctx) -> begin |
| V, | ||
| P} = IntervalNonlinearProblem{ |
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| V, | |
| P} = IntervalNonlinearProblem{ | |
| V, | |
| P} = IntervalNonlinearProblem{ |
| using Zygote, Enzyme, ForwardDiff, FiniteDiff | ||
|
|
||
| u0s = ([1.0, 1.0], @SVector[1.0, 1.0], 1.0) | ||
| u0s=([1.0, 1.0], @SVector[1.0, 1.0], 1.0) |
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| u0s=([1.0, 1.0], @SVector[1.0, 1.0], 1.0) | |
| u0s = ([1.0, 1.0], @SVector[1.0, 1.0], 1.0) |
| Diagonal(randn!(similar(A, size(A, 1)))), LinearAlgebra.I | ||
| ) |
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| Diagonal(randn!(similar(A, size(A, 1)))), LinearAlgebra.I | |
| ) | |
| Diagonal(randn!(similar(A, size(A, 1)))), LinearAlgebra.I | |
| ) |
|
|
||
| @testitem "NewtonRaphson: Iterator Interface" setup=[CoreRootfindTesting] tags=[:core] begin | ||
| p = range(0.01, 2, length = 200) | ||
| p=range(0.01, 2, length = 200) |
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| p=range(0.01, 2, length = 200) | |
| p = range(0.01, 2, length = 200) |
| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in | ||
| TERMINATION_CONDITIONS | ||
|
|
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| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in | |
| TERMINATION_CONDITIONS | |
| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in TERMINATION_CONDITIONS |
| preconditioners=[ | ||
| (u0)->nothing, | ||
| u0->((args...)->(Diagonal(rand!(similar(u0))), nothing)) |
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| preconditioners=[ | |
| (u0)->nothing, | |
| u0->((args...)->(Diagonal(rand!(similar(u0))), nothing)) | |
| preconditioners = [ | |
| (u0) -> nothing, | |
| u0 -> ((args...) -> (Diagonal(rand!(similar(u0))), nothing)) |
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
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NonlinearSolve.jl/lib/NonlinearSolveFirstOrder/test/sparsity_tests.jl
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|
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| @testitem "PseudoTransient: Iterator Interface" setup=[CoreRootfindTesting] tags=[:core] begin | ||
| p = range(0.01, 2, length = 200) | ||
| p=range(0.01, 2, length = 200) |
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| p=range(0.01, 2, length = 200) | |
| p = range(0.01, 2, length = 200) |
| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in | ||
| TERMINATION_CONDITIONS | ||
|
|
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| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in | |
| TERMINATION_CONDITIONS | |
| @testset "TC: $(nameof(typeof(termination_condition)))" for termination_condition in TERMINATION_CONDITIONS |
| using Zygote, Enzyme, ForwardDiff, FiniteDiff | ||
|
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| radius_update_schemes = [ | ||
| radius_update_schemes=[ |
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| radius_update_schemes=[ | |
| radius_update_schemes = [ |
|
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| @testitem "TrustRegion: Iterator Interface" setup=[CoreRootfindTesting] tags=[:core] begin | ||
| p = range(0.01, 2, length = 200) | ||
| p=range(0.01, 2, length = 200) |
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| p=range(0.01, 2, length = 200) | |
| p = range(0.01, 2, length = 200) |
| u0=[-10.0, -1.0, 1.0, 2.0, 3.0, 4.0, 10.0] | ||
| p=[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] | ||
| sol=solve_oop(newton_fails, u0, p; solver = TrustRegion()) |
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| u0=[-10.0, -1.0, 1.0, 2.0, 3.0, 4.0, 10.0] | |
| p=[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] | |
| sol=solve_oop(newton_fails, u0, p; solver = TrustRegion()) | |
| u0 = [-10.0, -1.0, 1.0, 2.0, 3.0, 4.0, 10.0] | |
| p = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] | |
| sol = solve_oop(newton_fails, u0, p; solver = TrustRegion()) |
| prob=NonlinearProblem(NonlinearFunction{false}(F; jvp = JVP), u0, u0) | ||
| sol=solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | ||
| err=maximum(abs, sol.resid) |
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| prob=NonlinearProblem(NonlinearFunction{false}(F; jvp = JVP), u0, u0) | |
| sol=solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | |
| err=maximum(abs, sol.resid) | |
| prob = NonlinearProblem(NonlinearFunction{false}(F; jvp = JVP), u0, u0) | |
| sol = solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | |
| err = maximum(abs, sol.resid) |
| @test err < 1e-6 | ||
|
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| sol = solve( | ||
| sol=solve( |
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| sol=solve( | |
| sol = solve( |
| abstol = 1e-13 | ||
| ) | ||
| err = maximum(abs, sol.resid) | ||
| err=maximum(abs, sol.resid) |
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| err=maximum(abs, sol.resid) | |
| err = maximum(abs, sol.resid) |
| prob=NonlinearProblem(NonlinearFunction{true}(F!; jvp = JVP!), u0, u0) | ||
| sol=solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | ||
| err=maximum(abs, sol.resid) |
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| prob=NonlinearProblem(NonlinearFunction{true}(F!; jvp = JVP!), u0, u0) | |
| sol=solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | |
| err=maximum(abs, sol.resid) | |
| prob = NonlinearProblem(NonlinearFunction{true}(F!; jvp = JVP!), u0, u0) | |
| sol = solve(prob, NewtonRaphson(; linsolve = KrylovJL_GMRES()); abstol = 1e-13) | |
| err = maximum(abs, sol.resid) |
| @test err < 1e-6 | ||
|
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| sol = solve( | ||
| sol=solve( |
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| sol=solve( | |
| sol = solve( |
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| j, | ||
| 2] = alpha * (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | ||
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] |
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| j, | |
| 2] = alpha * (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | |
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] | |
| j, | |
| 2] = alpha * (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | |
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] |
| abstol = 1e-13 | ||
| ) | ||
| err = maximum(abs, sol.resid) | ||
| err=maximum(abs, sol.resid) |
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| err=maximum(abs, sol.resid) | |
| err = maximum(abs, sol.resid) |
| j, | ||
| 1] = alpha * | ||
| (u[im1, j, 1] + u[ip1, j, 1] + u[i, jp1, 1] + u[i, jm1, 1] - | ||
| 4u[i, j, 1]) + | ||
| B + | ||
| u[i, j, 1]^2 * u[i, j, 2] - (A + 1) * u[i, j, 1] + | ||
| brusselator_f(x, y) |
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| j, | |
| 1] = alpha * | |
| (u[im1, j, 1] + u[ip1, j, 1] + u[i, jp1, 1] + u[i, jm1, 1] - | |
| 4u[i, j, 1]) + | |
| B + | |
| u[i, j, 1]^2 * u[i, j, 2] - (A + 1) * u[i, j, 1] + | |
| brusselator_f(x, y) | |
| j, | |
| 1] = alpha * | |
| (u[im1, j, 1] + u[ip1, j, 1] + u[i, jp1, 1] + u[i, jm1, 1] - | |
| 4u[i, j, 1]) + | |
| B + | |
| u[i, j, 1]^2 * u[i, j, 2] - (A + 1) * u[i, j, 1] + | |
| brusselator_f(x, y) |
| j, | ||
| 2] = alpha * | ||
| (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | ||
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] |
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| j, | |
| 2] = alpha * | |
| (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | |
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] | |
| j, | |
| 2] = alpha * | |
| (u[im1, j, 2] + u[ip1, j, 2] + u[i, jp1, 2] + u[i, jm1, 2] - | |
| 4u[i, j, 2]) + A * u[i, j, 1] - u[i, j, 1]^2 * u[i, j, 2] |
|
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| @compile_workload begin | ||
| @sync for prob in nonlinear_problems, alg in algs | ||
|
|
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| du[1]=cos(u[2])-u[1] | ||
| du[2]=sin(u[1]+u[2])+u[2] |
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| du[1]=cos(u[2])-u[1] | |
| du[2]=sin(u[1]+u[2])+u[2] | |
| du[1] = cos(u[2]) - u[1] | |
| du[2] = sin(u[1] + u[2]) + u[2] |
| explicitfun1(p, sols)=nothing | ||
| prob1=NonlinearProblem( |
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| explicitfun1(p, sols)=nothing | |
| prob1=NonlinearProblem( | |
| explicitfun1(p, sols) = nothing | |
| prob1 = NonlinearProblem( |
| prob1=NonlinearProblem( | ||
| NonlinearFunction{true, SciMLBase.NoSpecialize}(f1), zeros(2), p) | ||
| sol1 = solve(prob1, NewtonRaphson()) | ||
| sol1=solve(prob1, NewtonRaphson()) |
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| sol1=solve(prob1, NewtonRaphson()) | |
| sol1 = solve(prob1, NewtonRaphson()) |
| du[1]=2u[2]+u[1]+1.0 | ||
| du[2]=u[3]^2+u[2] | ||
| du[3]=u[1]^2+u[3] |
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| du[1]=2u[2]+u[1]+1.0 | |
| du[2]=u[3]^2+u[2] | |
| du[3]=u[1]^2+u[3] | |
| du[1] = 2u[2] + u[1] + 1.0 | |
| du[2] = u[3]^2 + u[2] | |
| du[3] = u[1]^2 + u[3] |
| explicitfun2(p, sols)=nothing | ||
| prob2=NonlinearProblem( |
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| explicitfun2(p, sols)=nothing | |
| prob2=NonlinearProblem( | |
| explicitfun2(p, sols) = nothing | |
| prob2 = NonlinearProblem( |
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