109 lines
4.5 KiB
Julia
Executable file
109 lines
4.5 KiB
Julia
Executable file
@doc doc"""
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Tester l'algorithme de Newton local
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# Entrées :
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* afficher : (Bool) affichage ou non des résultats de chaque test
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# Les cas de test (dans l'ordre)
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* fct 1 : x011,x012
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* fct 2 : x021,x022
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"""
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function tester_algo_newton(afficher::Bool, Algorithme_De_Newton::Function)
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max_iter = 100
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Tol_abs = sqrt(eps())
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Tol_rel = 1e-15
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options = [max_iter, Tol_abs, Tol_rel]
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@testset "L'algo de Newton" begin
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@testset "Cas test 1 x0 = solution" begin
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# point de départ x011
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct1, grad_fct1, hess_fct1, sol_exacte_fct1, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct1", "x011", x_min, fx_min, flag, sol_exacte_fct1, nb_iters)
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end
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@testset "solution" begin
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@test isapprox(x_min, sol_exacte_fct1, atol = tol_erreur)
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end
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@testset "itération" begin
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@test nb_iters == 0
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end
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end
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@testset "Cas test 1 x0 = x011" begin
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#point de départ x011
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct1, grad_fct1, hess_fct1, pts1.x011, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct1", "x011", x_min, fx_min, flag, sol_exacte_fct1, nb_iters)
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end
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@testset "solution" begin
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@test isapprox(x_min, sol_exacte_fct1, atol = tol_erreur)
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end
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@testset "itération" begin
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@test nb_iters == 1
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end
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end
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@testset "Cas test 1 x0 = x012" begin
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct1, grad_fct1, hess_fct1, pts1.x012, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct1", "x012", x_min, fx_min, flag, sol_exacte_fct1, nb_iters)
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end
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@testset "solution" begin
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@test x_min ≈ sol_exacte_fct1 atol = tol_erreur
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end
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@testset "itération" begin
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@test nb_iters == 1
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end
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end
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@testset "Cas test 2 x0 = solution" begin
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct1, grad_fct1, hess_fct1, sol_exacte_fct1, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct1", "x011", x_min, fx_min, flag, sol_exacte_fct1, nb_iters)
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end
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@testset "solution" begin
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@test isapprox(x_min, sol_exacte_fct1, atol = tol_erreur)
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end
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@testset "itération" begin
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@test nb_iters == 0
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end
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end
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@testset "Cas test 2 x0 = x021" begin
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct2, grad_fct2, hess_fct2, pts1.x021, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct2", "x021", x_min, fx_min, flag, sol_exacte_fct2, nb_iters)
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end
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@testset "solution" begin
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@test x_min ≈ sol_exacte_fct2 atol = tol_erreur
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end
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@testset "itération" begin
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@test nb_iters == 6
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end
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end
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@testset "Cas test 2 x0 = x022" begin
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct2, grad_fct2, hess_fct2, pts1.x022, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct2", "x022", x_min, fx_min, flag, sol_exacte_fct2, nb_iters)
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end
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@testset "solution" begin
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@test x_min ≈ sol_exacte_fct2 atol = tol_erreur
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end
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@testset "itération" begin
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@test nb_iters == 5
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end
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end
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@testset "Cas test 2 x0 = x023" begin
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options[1] = 1
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sol = [-4.99999958629818e9, 8.673617379884035e-19]
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x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct2, grad_fct2, hess_fct2, pts1.x023, options)
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if (afficher)
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afficher_resultats("algorithme de Newton ", "fct2", "x022", x_min, fx_min, flag, sol_exacte_fct2, nb_iters)
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end
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@testset "solution" begin
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@test x_min ≈ sol atol = tol_erreur
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end
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@testset "exception" begin
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options[1] = 100
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@test_throws SingularException x_min, fx_min, flag, nb_iters = Algorithme_De_Newton(fct2, grad_fct2, hess_fct2, pts1.x023, options)
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end
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end
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end
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end
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