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| 1 | +using LinearAlgebra, NonlinearSolve, StaticArrays, Test |
| 2 | + |
| 3 | +# this is infeasible |
| 4 | +function f1!(out, u, p) |
| 5 | + μ = 3.986004415e14 |
| 6 | + x = 7000.0e3 |
| 7 | + y = -6.970561549987071e-9 |
| 8 | + z = -3.784706123246018e-9 |
| 9 | + v_x = 8.550491684548064e-12 + u[1] |
| 10 | + v_y = 6631.60076191005 + u[2] |
| 11 | + v_z = 3600.665431405663 + u[3] |
| 12 | + r = @SVector [x, y, z] |
| 13 | + v = @SVector [v_x, v_y, v_z] |
| 14 | + h = cross(r, v) |
| 15 | + ev = cross(v, h) / μ - r / norm(r) |
| 16 | + i = acos(h[3] / norm(h)) |
| 17 | + e = norm(ev) |
| 18 | + a = 1 / (2 / norm(r) - (norm(v)^2 / μ)) |
| 19 | + out .= [a - 42.0e6, e - 1e-5, i - 1e-5] |
| 20 | + return nothing |
| 21 | +end |
| 22 | + |
| 23 | +# this is unfeasible |
| 24 | +function f1(u, p) |
| 25 | + μ = 3.986004415e14 |
| 26 | + x = 7000.0e3 |
| 27 | + y = -6.970561549987071e-9 |
| 28 | + z = -3.784706123246018e-9 |
| 29 | + v_x = 8.550491684548064e-12 + u[1] |
| 30 | + v_y = 6631.60076191005 + u[2] |
| 31 | + v_z = 3600.665431405663 + u[3] |
| 32 | + r = @SVector [x, y, z] |
| 33 | + v = @SVector [v_x, v_y, v_z] |
| 34 | + h = cross(r, v) |
| 35 | + ev = cross(v, h) / μ - r / norm(r) |
| 36 | + i = acos(h[3] / norm(h)) |
| 37 | + e = norm(ev) |
| 38 | + a = 1 / (2 / norm(r) - (norm(v)^2 / μ)) |
| 39 | + return [a - 42.0e6, e - 1e-5, i - 1e-5] |
| 40 | +end |
| 41 | + |
| 42 | +@testset "[IIP] Infeasible" begin |
| 43 | + u0 = [0.0, 0.0, 0.0] |
| 44 | + prob = NonlinearProblem(f1!, u0) |
| 45 | + sol = solve(prob) |
| 46 | + |
| 47 | + @test all(!isnan, sol.u) |
| 48 | + @test !SciMLBase.successful_retcode(sol.retcode) |
| 49 | +end |
| 50 | + |
| 51 | +@testset "[OOP] Infeasible" begin |
| 52 | + u0 = [0.0, 0.0, 0.0] |
| 53 | + prob = NonlinearProblem(f1, u0) |
| 54 | + sol = solve(prob) |
| 55 | + |
| 56 | + @test all(!isnan, sol.u) |
| 57 | + @test !SciMLBase.successful_retcode(sol.retcode) |
| 58 | + |
| 59 | + try |
| 60 | + u0 = @SVector [0.0, 0.0, 0.0] |
| 61 | + prob = NonlinearProblem(f1, u0) |
| 62 | + sol = solve(prob) |
| 63 | + |
| 64 | + @test all(!isnan, sol.u) |
| 65 | + @test !SciMLBase.successful_retcode(sol.retcode) |
| 66 | + catch err |
| 67 | + # Static Arrays has different default linearsolve which throws an error |
| 68 | + @test err isa SingularException |
| 69 | + end |
| 70 | +end |
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