From feb1ee1a3cc153f0b759b6f7bbb195bd4ab23beb Mon Sep 17 00:00:00 2001 From: Emma Smith Zbarsky Date: Wed, 16 Oct 2024 15:14:44 -0400 Subject: [PATCH] Maintenance for R2024b 1) Update GitHub workflow with reports published as Pages 2) Update .gitignore to support new workflow 3) Add CollectData to Function Library rather than as local function to aid in testing 4) Remove hard-coded colors in cnPDE and explicitPDE 5) Include solutions in InstructorResources 6) Update testing structures in SoftwareTests 7) Minor updates to scripts 8) Reorganize the project to start/stop the ProjectStartupApp --- .github/workflows/ci.yml | 60 ++-- .gitignore | 3 - .gitlab-ci.yml | 31 +- FunctionLibrary/.gitkeep | 0 FunctionLibrary/CollectData.m | 2 +- FunctionLibrary/cnPDE.m | 6 +- FunctionLibrary/explicitPDE.m | 6 +- .../FunctionLibrarySolutions/cnPDESoln.m | 80 +++++ .../FunctionLibrarySolutions/cnPDEu0Soln.m | 77 ++++ .../eulerBackwardDifferenceSoln.m | 32 ++ .../eulerMethodDESoln.m | 26 ++ .../eulerMethodSoln.m | 25 ++ .../explicitPDESoln.m | 75 ++++ .../FunctionLibrarySolutions/gauss2ptSoln.m | 18 + .../implicitPDESoln.m | 74 ++++ .../improvedEulerSoln.m | 30 ++ .../linInterpSimpSoln.m | 32 ++ .../FunctionLibrarySolutions/linInterpSoln.m | 76 ++++ .../FunctionLibrarySolutions/pcHInterpSoln.m | 97 +++++ .../FunctionLibrarySolutions/pcSplineSoln.m | 93 +++++ .../FunctionLibrarySolutions/rk4Soln.m | 27 ++ .../simpsonsRuleSoln.m | 22 ++ InstructorResources/Solutions/HandSoln.mlx | Bin 0 -> 49828 bytes .../Solutions/ImplementExplicitSolverSoln.mlx | Bin 0 -> 10961 bytes .../Solutions/InterpolationSoln.mlx | Bin 0 -> 66591 bytes .../Solutions/MeasureLakeAreaSoln.mlx | Bin 0 -> 2785729 bytes .../Solutions/NumericalDerivativesSoln.mlx | Bin 0 -> 18649 bytes .../Solutions/NumericalIntegrationSoln.mlx | Bin 0 -> 276386 bytes .../Solutions/NumericalODEsSoln.mlx | Bin 0 -> 38016 bytes .../Solutions/NumericalPDEsSoln.mlx | Bin 273063 -> 275252 bytes .../Solutions/PendulumModelsSoln.mlx | Bin 39628 -> 39763 bytes .../Solutions/TrackStormsSoln.mlx | Bin 0 -> 393513 bytes InstructorResources/Solutions/myLakeData.mat | Bin 0 -> 2576 bytes .../Solutions/myModernLakeData.mat | Bin 0 -> 19584 bytes README.md | 50 +-- Scripts/Hand.mlx | Bin 98448 -> 97354 bytes Scripts/MeasureLakeArea.mlx | Bin 1535469 -> 1534354 bytes Scripts/NumericalODEs.mlx | Bin 39753 -> 39754 bytes Scripts/NumericalPDEs.mlx | Bin 273088 -> 275480 bytes SoftwareTests/CheckTestResults.m | 12 +- SoftwareTests/CreateBadge.m | 28 -- SoftwareTests/FunctionTests.m | 2 +- SoftwareTests/PostFiles/PostHand.m | 8 + SoftwareTests/PostFiles/PostHandSoln.m | 8 + .../PostFiles/PostImplementExplicitSolver.m | 3 + .../PostImplementExplicitSolverSoln.m | 2 + SoftwareTests/PostFiles/PostInterpolation.m | 3 + .../PostFiles/PostInterpolationSoln.m | 3 + SoftwareTests/PostFiles/PostMeasureLakeArea.m | 3 + .../PostFiles/PostMeasureLakeAreaSoln.m | 3 + .../PostFiles/PostNumericalDerivatives.m | 3 + .../PostFiles/PostNumericalDerivativesSoln.m | 3 + .../PostFiles/PostNumericalIntegration.m | 3 + .../PostFiles/PostNumericalIntegrationSoln.m | 3 + SoftwareTests/PostFiles/PostNumericalODEs.m | 3 + .../PostFiles/PostNumericalODEsSoln.m | 3 + SoftwareTests/PostFiles/PostNumericalPDEs.m | 3 + .../PostFiles/PostNumericalPDEsSoln.m | 3 + SoftwareTests/PostFiles/PostPendulumModels.m | 3 + .../PostFiles/PostPendulumModelsSoln.m | 3 + SoftwareTests/PostFiles/PostTrackStorms.m | 3 + SoftwareTests/PostFiles/PostTrackStormsSoln.m | 3 + SoftwareTests/PostSmokeTest.m | 66 ++++ SoftwareTests/PreFiles/PreHand.m | 11 + SoftwareTests/PreFiles/PreHandSoln.m | 5 + .../PreFiles/PreImplementExplicitSolver.m | 5 + .../PreFiles/PreImplementExplicitSolverSoln.m | 5 + SoftwareTests/PreFiles/PreInterpolation.m | 5 + SoftwareTests/PreFiles/PreInterpolationSoln.m | 6 + SoftwareTests/PreFiles/PreMeasureLakeArea.m | 12 + .../PreFiles/PreMeasureLakeAreaSoln.m | 24 ++ .../PreFiles/PreNumericalDerivatives.m | 5 + .../PreFiles/PreNumericalDerivativesSoln.m | 5 + .../PreFiles/PreNumericalIntegration.m | 5 + .../PreFiles/PreNumericalIntegrationSoln.m | 6 + SoftwareTests/PreFiles/PreNumericalODEs.m | 5 + SoftwareTests/PreFiles/PreNumericalODEsSoln.m | 6 + SoftwareTests/PreFiles/PreNumericalPDEs.m | 5 + SoftwareTests/PreFiles/PreNumericalPDEsSoln.m | 6 + SoftwareTests/PreFiles/PrePendulumModels.m | 5 + .../PreFiles/PrePendulumModelsSoln.m | 5 + SoftwareTests/PreFiles/PreTrackStorms.m | 5 + SoftwareTests/PreFiles/PreTrackStormsSoln.m | 5 + SoftwareTests/RunAllTests.m | 36 +- SoftwareTests/SmokeTests.m | 336 ++++++++---------- SoftwareTests/SolnSmokeTests.m | 166 +++++++++ SoftwareTests/TestResults_R2024a.txt | 12 + SoftwareTests/TestResults_R2024b.txt | 12 + SoftwareTests/model2t.m | 6 - SoftwareTests/model3t.m | 9 - SoftwareTests/model4t.m | 10 - Utilities/OldVersions/MainMenuOld.mlx | Bin 4352765 -> 0 bytes Utilities/OldVersions/READMEOld.mlx | Bin 4356245 -> 0 bytes Utilities/ProjectSettings.mat | Bin 2200 -> 0 bytes Utilities/ProjectShutdown.m | 71 +--- Utilities/ProjectStartup.m | 71 ---- Utilities/ProjectStartupApp.m | 115 ++---- .../uIYthjUuDNIiVXAl0s2ACeCA7XYd.xml | 4 - .../uIYthjUuDNIiVXAl0s2ACeCA7XYp.xml | 2 - .../xcK8fO1pjra5DR0jot5vrzlBV84d.xml | 2 +- .../y8P_Fq2qJ6We-JIH8JyFmcTdT2wd.xml | 4 + .../y8P_Fq2qJ6We-JIH8JyFmcTdT2wp.xml | 2 + .../7iHV9hRFJ4wySENySofF6aAIHy0d.xml | 6 - .../7iHV9hRFJ4wySENySofF6aAIHy0p.xml | 2 - .../EyDhXb-HjEIhAYfuSMUxquCH4aYd.xml | 6 - .../EyDhXb-HjEIhAYfuSMUxquCH4aYp.xml | 2 - .../dKAbbpX_L19F-VIpqXAxjLcumX0d.xml | 6 - .../dKAbbpX_L19F-VIpqXAxjLcumX0p.xml | 2 - .../swOs81E6yUqgBF1yHzvU3M7GvvAd.xml | 6 - .../swOs81E6yUqgBF1yHzvU3M7GvvAp.xml | 2 - .../nGmc4yUWSwVpS8w8tP7IolwQs0Ed.xml | 6 - .../nGmc4yUWSwVpS8w8tP7IolwQs0Ep.xml | 2 - 112 files changed, 1546 insertions(+), 607 deletions(-) delete mode 100644 FunctionLibrary/.gitkeep create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/cnPDESoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/cnPDEu0Soln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/eulerBackwardDifferenceSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodDESoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/explicitPDESoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/gauss2ptSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/implicitPDESoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/improvedEulerSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSimpSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/pcHInterpSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/pcSplineSoln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/rk4Soln.m create mode 100644 InstructorResources/Solutions/FunctionLibrarySolutions/simpsonsRuleSoln.m create mode 100644 InstructorResources/Solutions/HandSoln.mlx create mode 100644 InstructorResources/Solutions/ImplementExplicitSolverSoln.mlx create mode 100644 InstructorResources/Solutions/InterpolationSoln.mlx create mode 100644 InstructorResources/Solutions/MeasureLakeAreaSoln.mlx create mode 100644 InstructorResources/Solutions/NumericalDerivativesSoln.mlx create mode 100644 InstructorResources/Solutions/NumericalIntegrationSoln.mlx create mode 100644 InstructorResources/Solutions/NumericalODEsSoln.mlx rename Utilities/OldVersions/NumericalPDEsOld.mlx => InstructorResources/Solutions/NumericalPDEsSoln.mlx (89%) rename Utilities/OldVersions/PendulumModelsOld.mlx => InstructorResources/Solutions/PendulumModelsSoln.mlx (72%) create mode 100644 InstructorResources/Solutions/TrackStormsSoln.mlx create mode 100644 InstructorResources/Solutions/myLakeData.mat create mode 100644 InstructorResources/Solutions/myModernLakeData.mat delete mode 100644 SoftwareTests/CreateBadge.m create mode 100644 SoftwareTests/PostFiles/PostHand.m create mode 100644 SoftwareTests/PostFiles/PostHandSoln.m create mode 100644 SoftwareTests/PostFiles/PostImplementExplicitSolver.m create mode 100644 SoftwareTests/PostFiles/PostImplementExplicitSolverSoln.m create mode 100644 SoftwareTests/PostFiles/PostInterpolation.m create mode 100644 SoftwareTests/PostFiles/PostInterpolationSoln.m create mode 100644 SoftwareTests/PostFiles/PostMeasureLakeArea.m create mode 100644 SoftwareTests/PostFiles/PostMeasureLakeAreaSoln.m create mode 100644 SoftwareTests/PostFiles/PostNumericalDerivatives.m create mode 100644 SoftwareTests/PostFiles/PostNumericalDerivativesSoln.m create mode 100644 SoftwareTests/PostFiles/PostNumericalIntegration.m create mode 100644 SoftwareTests/PostFiles/PostNumericalIntegrationSoln.m create mode 100644 SoftwareTests/PostFiles/PostNumericalODEs.m create mode 100644 SoftwareTests/PostFiles/PostNumericalODEsSoln.m create mode 100644 SoftwareTests/PostFiles/PostNumericalPDEs.m create mode 100644 SoftwareTests/PostFiles/PostNumericalPDEsSoln.m create mode 100644 SoftwareTests/PostFiles/PostPendulumModels.m create mode 100644 SoftwareTests/PostFiles/PostPendulumModelsSoln.m create mode 100644 SoftwareTests/PostFiles/PostTrackStorms.m create mode 100644 SoftwareTests/PostFiles/PostTrackStormsSoln.m create mode 100644 SoftwareTests/PostSmokeTest.m create mode 100644 SoftwareTests/PreFiles/PreHand.m create mode 100644 SoftwareTests/PreFiles/PreHandSoln.m create mode 100644 SoftwareTests/PreFiles/PreImplementExplicitSolver.m create mode 100644 SoftwareTests/PreFiles/PreImplementExplicitSolverSoln.m create mode 100644 SoftwareTests/PreFiles/PreInterpolation.m create mode 100644 SoftwareTests/PreFiles/PreInterpolationSoln.m create mode 100644 SoftwareTests/PreFiles/PreMeasureLakeArea.m create mode 100644 SoftwareTests/PreFiles/PreMeasureLakeAreaSoln.m create mode 100644 SoftwareTests/PreFiles/PreNumericalDerivatives.m create mode 100644 SoftwareTests/PreFiles/PreNumericalDerivativesSoln.m create mode 100644 SoftwareTests/PreFiles/PreNumericalIntegration.m create mode 100644 SoftwareTests/PreFiles/PreNumericalIntegrationSoln.m create mode 100644 SoftwareTests/PreFiles/PreNumericalODEs.m create mode 100644 SoftwareTests/PreFiles/PreNumericalODEsSoln.m create mode 100644 SoftwareTests/PreFiles/PreNumericalPDEs.m create mode 100644 SoftwareTests/PreFiles/PreNumericalPDEsSoln.m create mode 100644 SoftwareTests/PreFiles/PrePendulumModels.m create mode 100644 SoftwareTests/PreFiles/PrePendulumModelsSoln.m create mode 100644 SoftwareTests/PreFiles/PreTrackStorms.m create mode 100644 SoftwareTests/PreFiles/PreTrackStormsSoln.m create mode 100644 SoftwareTests/SolnSmokeTests.m create mode 100644 SoftwareTests/TestResults_R2024a.txt create mode 100644 SoftwareTests/TestResults_R2024b.txt delete mode 100644 SoftwareTests/model2t.m delete mode 100644 SoftwareTests/model3t.m delete mode 100644 SoftwareTests/model4t.m delete mode 100644 Utilities/OldVersions/MainMenuOld.mlx delete mode 100644 Utilities/OldVersions/READMEOld.mlx delete mode 100644 Utilities/ProjectSettings.mat delete mode 100644 Utilities/ProjectStartup.m delete mode 100644 resources/project/KAXfQgCar2Yb8zOxgvf9hdmLP1E/uIYthjUuDNIiVXAl0s2ACeCA7XYd.xml delete mode 100644 resources/project/KAXfQgCar2Yb8zOxgvf9hdmLP1E/uIYthjUuDNIiVXAl0s2ACeCA7XYp.xml create mode 100644 resources/project/KAXfQgCar2Yb8zOxgvf9hdmLP1E/y8P_Fq2qJ6We-JIH8JyFmcTdT2wd.xml create mode 100644 resources/project/KAXfQgCar2Yb8zOxgvf9hdmLP1E/y8P_Fq2qJ6We-JIH8JyFmcTdT2wp.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/7iHV9hRFJ4wySENySofF6aAIHy0d.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/7iHV9hRFJ4wySENySofF6aAIHy0p.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/EyDhXb-HjEIhAYfuSMUxquCH4aYd.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/EyDhXb-HjEIhAYfuSMUxquCH4aYp.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/dKAbbpX_L19F-VIpqXAxjLcumX0d.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/dKAbbpX_L19F-VIpqXAxjLcumX0p.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/swOs81E6yUqgBF1yHzvU3M7GvvAd.xml delete mode 100644 resources/project/ZN2RlSIbyWXhOxbxxI4hOawbMD4/swOs81E6yUqgBF1yHzvU3M7GvvAp.xml delete mode 100644 resources/project/iMwdHOXOBiBXhnA_li8gtEJVTjc/nGmc4yUWSwVpS8w8tP7IolwQs0Ed.xml delete mode 100644 resources/project/iMwdHOXOBiBXhnA_li8gtEJVTjc/nGmc4yUWSwVpS8w8tP7IolwQs0Ep.xml diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 0118039..256b8e1 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -8,16 +8,22 @@ on: branches: [ release ] workflow_dispatch: +# Add permission to write GitHub pages +permissions: + contents: write + pages: write + id-token: write + jobs: test: strategy: fail-fast: false matrix: - MATLABVersion: [R2021a,R2021b,R2022a,R2022b,R2023a,R2023b,R2024a] + MATLABVersion: [R2024a,R2024b] runs-on: ubuntu-latest steps: # Checks-out your repository - - uses: actions/checkout@v3 + - uses: actions/checkout@v4 # Sets up a display server - name: Start display server @@ -32,14 +38,14 @@ jobs: uses: matlab-actions/setup-matlab@v2 with: release: ${{ matrix.MATLABVersion }} - products: + products: > Symbolic_Math_Toolbox Image_Processing_Toolbox - Computer_Vision_Toolbox - Statistics_and_Machine_Learning_Toolbox - Curve_Fitting_Toolbox + Statistics_and_Machine_Learning_Toolbox + Curve_Fitting_Toolbox Automated_Driving_Toolbox + # Run all the tests - name: Run SmokeTests uses: matlab-actions/run-command@v2 @@ -48,10 +54,12 @@ jobs: # Upload the test results as artifact - name: Upload TestResults - uses: actions/upload-artifact@v3.1.3 + if: ${{ always() }} + uses: actions/upload-artifact@v4 with: - name: TestResults - path: ./SoftwareTests/TestResults_${{ matrix.MATLABVersion }}.txt + name: TestResults_${{ matrix.MATLABVersion }} + path: ./public/* + overwrite: true badge: if: ${{ always() }} @@ -62,26 +70,38 @@ jobs: steps: # Checks-out your repository - - uses: actions/checkout@v3 + - uses: actions/checkout@v4 # Sets up R2023b - name: Setup MATLAB - uses: matlab-actions/setup-matlab@v1 + uses: matlab-actions/setup-matlab@v2 with: - release: R2023b + release: R2024b # Download the test results from artifact - - name: Download TestResults - uses: actions/download-artifact@v2.1.1 + - name: Download All TestResults + uses: actions/download-artifact@v4 with: - name: TestResults - path: ./SoftwareTests/ - + path: public + pattern: TestResults_* + merge-multiple: true + # Create the test results badge - - name: Run CreateBadge - uses: matlab-actions/run-command@v1 + - name: Run PostSmokeTest + uses: matlab-actions/run-command@v2 + with: + command: openProject(pwd); PostSmokeTest; + + # Deploy reports to GitHub pages + - name: Setup Pages + uses: actions/configure-pages@v5 + - name: Upload pages artifact + uses: actions/upload-pages-artifact@v3 with: - command: openProject(pwd); CreateBadge; + path: public + - name: Deploy to GitHub Pages + id: deployment + uses: actions/deploy-pages@v4 # Commit the JSON for the MATLAB releases badge - name: Commit changed files diff --git a/.gitignore b/.gitignore index 1a2519a..d1596f1 100644 --- a/.gitignore +++ b/.gitignore @@ -52,8 +52,5 @@ Data/allStorms.csv Scripts/myLakeData.mat myLakeData.mat -# Test results -SoftwareTests/TestResults_* - # GitLab page folder public/ \ No newline at end of file diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index 8d2d7db..c16835c 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -24,42 +24,30 @@ smoke-test: # Make sure that the runner you plan to use matches the tags - matlab stage: test + parallel: + matrix: + - VERSION: [R2024a,R2024b] script: - - matlab -batch "openProject(pwd);RunAllTests(true)" + - Set-Alias -Name matlab -Value "C:\Program Files\MATLAB\$VERSION\bin\matlab.exe" + - matlab -batch "openProject(pwd);RunAllTests" when: always allow_failure: true artifacts: + name: "$VERSION" paths: - public/* - expire_in: 1 years + when: always + pages: tags: - matlab stage: deploy script: - - echo 'Deploying pages' + - matlab -batch "openProject(pwd);PostSmokeTest;" artifacts: paths: - public - -smoke-test-solution: - tags: - - matlab - stage: release - script: - - matlab -batch "proj = openProject(pwd); - addpath(genpath(proj.RootFolder)); - results = runtests(fullfile('InternalFiles','Tests','CI','SolnSmokeTests.m')); - disp(table(results)); assertSuccess(results);" - rules: -# This test should always run when merging to main -# And be available for manual running on any push - - if: $CI_MERGE_REQUEST_TARGET_BRANCH_NAME == $CI_DEFAULT_BRANCH - when: always - - if: $CI_MERGE_REQUEST_TARGET_BRANCH_NAME != $CI_DEFAULT_BRANCH - when: manual - allow_failure: true file-test: tags: @@ -87,6 +75,7 @@ release-testing: - matlab -batch "proj = openProject(pwd); cd ..; addpath(genpath(fullfile('utilities','TestingResources'))); + addpath(genpath(fullfile('utilities','Tools'))); runCMTests" rules: # This test should always run when merging to main diff --git a/FunctionLibrary/.gitkeep b/FunctionLibrary/.gitkeep deleted file mode 100644 index e69de29..0000000 diff --git a/FunctionLibrary/CollectData.m b/FunctionLibrary/CollectData.m index 426c209..6428ac6 100644 --- a/FunctionLibrary/CollectData.m +++ b/FunctionLibrary/CollectData.m @@ -12,4 +12,4 @@ roi = drawpolygon(ax); x = roi.Position(:,1); y = roi.Position(:,2); -end \ No newline at end of file +end diff --git a/FunctionLibrary/cnPDE.m b/FunctionLibrary/cnPDE.m index 3903d34..a378a41 100644 --- a/FunctionLibrary/cnPDE.m +++ b/FunctionLibrary/cnPDE.m @@ -69,11 +69,7 @@ % To visualize the outputs hold on delete(ax.Children(1:end-1)); - try - plot(xVals,[alpha(j*dt);u;beta(j*dt)],LineWidth=1,SeriesIndex="none") - catch % If using R2023a or earlier - plot(xVals,[alpha(j*dt);u;beta(j*dt)],"k",LineWidth=1) - end + plot(xVals,[alpha(j*dt);u;beta(j*dt)],LineWidth=1,SeriesIndex="none") subtitle("$t = $"+dt*j) drawnow pause(0.1) diff --git a/FunctionLibrary/explicitPDE.m b/FunctionLibrary/explicitPDE.m index 98d9722..4303c2b 100644 --- a/FunctionLibrary/explicitPDE.m +++ b/FunctionLibrary/explicitPDE.m @@ -66,11 +66,7 @@ % To visualize the outputs hold on delete(ax.Children(1:end-1)); - try - plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],LineWidth=4,SeriesIndex="none") - catch % If using R2023a or earlier - plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],"k",LineWidth=4) - end + plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],"LineWidth",4,SeriesIndex="none") subtitle("$t = $"+dt*(j+1)) drawnow pause(0.1) diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDESoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDESoln.m new file mode 100644 index 0000000..32fdc54 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDESoln.m @@ -0,0 +1,80 @@ +function u = cnPDESoln(f,alpha,beta,tEnd,dx,gamma,L) +% Solve the 1D heat equation u_t = gamma*u_{xx} on a rod of length L +% using the Crank-Nicolson method +% u(t,0) = alpha(t) +% u(t,L) = beta(t) +% u(0,x) = f(x) +% The desired spatial resolution is dx +% Output is u = u(tEnd,x_m), a vector of values on the mesh points + +% Define dt with reference to both error and stability concerns +% Optimal dt for stability +dtOpt = dx; +% Forcing an integer numbers of dt steps that terminate at tEnd +dt = tEnd/ceil(tEnd/dtOpt); + +% % testing %%%%%%%%%% +% dt = 0.005; + +% Set up the helper values for defining the required matrices +numRows = L/dx-1; +mu = gamma*dt/(dx^2); +baseDiag = ones(1,numRows); + +% Define modA for the explicit updating rule +% modA-I = (A-I)/2, where I is the identity matrix +modA = gallery('tridiag',0.5*mu*baseDiag(1:end-1),(1-mu)*baseDiag,0.5*mu*baseDiag(1:end-1)); + +% Define modB for the implicit updating rule +% modB-I = (B-I)/2, where I is the identity matrix +modB = gallery('tridiag',-0.5*mu*baseDiag(1:end-1),(1+mu)*baseDiag,-0.5*mu*baseDiag(1:end-1)); + +% Initialize bAvg = b^(j)+b^(j+1) as a vector of zeros +bAvg = zeros(numRows,1); + +% Define a spatial mesh vector +xVals = linspace(0,L,round(L/dx)+1); + +% Set up a column vector u0 of the initial values of u when t=0 +u0 = f(xVals)'; + +% Initialize the output to the interior points of u0 +u = u0(2:end-1); + +% To visualize the outputs +p = plot(xVals,u0,"LineWidth",2,"SeriesIndex",1); +ax = p.Parent; + +% Set the y limits to reasonable fixed values +minAlpha = min(alpha(0:dt:tEnd)); +maxAlpha = max(alpha(0:dt:tEnd)); +minBeta = min(beta(0:dt:tEnd)); +maxBeta = max(beta(0:dt:tEnd)); +yLower = min([ax.YLim(1),minAlpha,minBeta]); +yUpper = max([ax.YLim(2),maxAlpha,maxBeta]); +scale = (yUpper-yLower)*0.05; +ax.YLim = [yLower-scale yUpper+scale]; + +title("Solving $\frac{\partial u}{\partial t} = \gamma \frac{\partial^2 u}{\partial x^2}$ with Crank-Nicolson","Interpreter","latex") +subtitle("$t=0$","Interpreter","latex") +xlabel("$x$","Interpreter","latex") +ylabel("$u$","Interpreter","latex") + +% Compute new values for halfB*u^(j+1)-b^(j+1) = halfA*u^(j)+b^(j) +% Loop over timesteps to reach tEnd +for j = 1:(tEnd/dt) + bAvg(1) = mu*(alpha((j-1)*dt)+alpha(j*dt))/2; + bAvg(end) = mu*(beta((j-1)*dt)+beta(j*dt))/2; + u = modB\(modA*u+bAvg); + % To visualize the outputs + hold on + delete(ax.Children(1:end-1)); + plot(xVals,[alpha(j*dt);u;beta(j*dt)],"LineWidth",2,"SeriesIndex",2) + subtitle("$t = $"+dt*j) + drawnow + pause(0.1) + hold off + % End visualization code +end +legend(["u(0,x)","u(t,x)"],"Location","north") +end diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDEu0Soln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDEu0Soln.m new file mode 100644 index 0000000..6cfec82 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/cnPDEu0Soln.m @@ -0,0 +1,77 @@ +function u = cnPDE(u0,alpha,beta,tEnd,dx,gamma,L,t0) +% Solve the 1D heat equation u_t = gamma*u_{xx} on a rod of length L +% using the Crank-Nicolson method +% u(t,0) = alpha(t) +% u(t,L) = beta(t) +% u(t0,x) = u0 +% The desired spatial resolution is dx +% Output is u = u(tEnd,x_m), a vector of values on the mesh points + +% Define dt with reference to both error and stability concerns +% Optimal dt for stability +dtOpt = dx; +% Forcing an integer numbers of dt steps that terminate at tEnd +dt = tEnd/ceil((tEnd-t0)/dtOpt); + +% % testing %%%%%%%%%% +% dt = 0.005; + +% Set up the helper values for defining the required matrices +numRows = L/dx-1; +mu = gamma*dt/(dx^2); +baseDiag = ones(1,numRows); + +% Define modA for the explicit updating rule +% modA-I = (A-I)/2, where I is the identity matrix +modA = gallery('tridiag',0.5*mu*baseDiag(1:end-1),(1-mu)*baseDiag,0.5*mu*baseDiag(1:end-1)); + +% Define modB for the implicit updating rule +% modB-I = (B-I)/2, where I is the identity matrix +modB = gallery('tridiag',-0.5*mu*baseDiag(1:end-1),(1+mu)*baseDiag,-0.5*mu*baseDiag(1:end-1)); + +% Initialize bAvg = b^(j)+b^(j+1) as a vector of zeros +bAvg = zeros(numRows,1); + +% Define a spatial mesh vector +xVals = linspace(0,L,round(L/dx)+1); + +% Initialize the output to the interior points of u0 +u = u0(2:end-1); + +% To visualize the outputs +p = plot(xVals,u0,"LineWidth",4); +ax = p.Parent; + +% Set the y limits to reasonable fixed values +minAlpha = min(alpha(0:dt:tEnd)); +maxAlpha = max(alpha(0:dt:tEnd)); +minBeta = min(beta(0:dt:tEnd)); +maxBeta = max(beta(0:dt:tEnd)); +yLower = min([ax.YLim(1),minAlpha,minBeta]); +yUpper = max([ax.YLim(2),maxAlpha,maxBeta]); +scale = (yUpper-yLower)*0.05; +ax.YLim = [yLower-scale yUpper+scale]; + +title("Solving $\frac{\partial u}{\partial t} = \gamma \frac{\partial^2 u}{\partial x^2}$","Interpreter","latex") +subtitle("$t=0$","Interpreter","latex") +xlabel("$x$","Interpreter","latex") +ylabel("$u$","Interpreter","latex") + +% Compute new values for halfB*u^(j+1)-b^(j+1) = halfA*u^(j)+b^(j) +% Loop over timesteps to reach tEnd +for j = 0:(tEnd/dt - 1) + bAvg(1) = mu*(alpha(j*dt)+alpha((j+1)*dt))/2; + bAvg(end) = mu*(beta(j*dt)+beta((j+1)*dt))/2; + u = modB\(modA*u+bAvg); + % To visualize the outputs + hold on + delete(ax.Children(1:end-1)); + plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],"LineWidth",4,SeriesIndex="none") + subtitle("$t = $"+dt*(j+1)) + drawnow + pause(0.1) + hold off + % End visualization code +end + +end diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/eulerBackwardDifferenceSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerBackwardDifferenceSoln.m new file mode 100644 index 0000000..cfa38b8 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerBackwardDifferenceSoln.m @@ -0,0 +1,32 @@ +function [tApprox,yApprox]=eulerBackwardDifferenceSoln(f,init,n,h) +% The eulerBackwardDifference function takes four arguments +% f is a function handle, e.g. @(t,y) t.^2.*cos(y) +% init = is the initial value vector [t0 y0] +% h is the step size and +% n is the number of steps to estimate +% +% The function returns two length (n+1) vectors of +% estimated x and y values + +% Initialize the output with the initial value +tApprox = nan(n+1,1); +yApprox = nan(n+1,1); +tApprox(1) = init(1); +yApprox(1) = init(2); + +% Evaluate one step forward using the Euler forward difference method +tApprox(2) = tApprox(1)+h; +yApprox(2) = yApprox(1)+f(tApprox(1),yApprox(1))*h; + +g = @(t,y,yn) y-f(t,y)*h-yn; + +for i = 3:(n+1) + ti = tApprox(i-1)+h; + yn = yApprox(i-1); + gi = @(y) g(ti,y,yn); + yi = fzero(gi,yn); + tApprox(i) = ti; + yApprox(i) = yi; +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodDESoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodDESoln.m new file mode 100644 index 0000000..07e1d66 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodDESoln.m @@ -0,0 +1,26 @@ +function [tApprox,yApprox]=eulerMethodDESoln(f,init,n,h) +arguments + f function_handle % derivative dy/dt = f(t,y) + init (1,2) double % initial value [t0 y0] + n (1,1) double {mustBePositive,mustBeInteger} % number of steps + h (1,1) double % step size +end +% f is a function handle, e.g. @(t,y) t.^2.*cos(y) + +% The function returns two length (n+1) vectors of +% estimated x and y values + +% Initialize the output with the initial value +tApprox = nan(n+1,1); +yApprox = nan(n+1,1); +tApprox(1) = init(1); +yApprox(1) = init(2); + +for i = 1:n + xi = tApprox(i)+h; + yi = yApprox(i)+f(tApprox(i),yApprox(i))*h; + tApprox(i+1) = xi; + yApprox(i+1) = yi; +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodSoln.m new file mode 100644 index 0000000..72c3120 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/eulerMethodSoln.m @@ -0,0 +1,25 @@ +function [xApprox,yApprox]=eulerMethodSoln(f,init,n,h) +arguments + f function_handle % integrand, e.g. @(x) x.^2 + init (1,2) double % initial value + n (1,1) double {mustBePositive,mustBeInteger} % number of steps + h (1,1) double % step size +end + +% The function returns two length (n+1) vectors of +% estimated x and y values + +% Initialize the output with the initial value +xApprox = nan(n+1,1); +yApprox = nan(n+1,1); +xApprox(1) = init(1); +yApprox(1) = init(2); + +for i = 1:n + xi = xApprox(i)+h; + yi = yApprox(i)+f(xApprox(i))*h; + xApprox(i+1) = xi; + yApprox(i+1) = yi; +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/explicitPDESoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/explicitPDESoln.m new file mode 100644 index 0000000..76e947e --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/explicitPDESoln.m @@ -0,0 +1,75 @@ +function u = explicitPDESoln(f,alpha,beta,tEnd,dx,gamma,L) +% Solve the 1D heat equation u_t = gamma*u_{xx} on a rod of length L +% u(t,0) = alpha(t) +% u(t,L) = beta(t) +% u(0,x) = f(x) +% The desired spatial resolution is dx +% Output is u = u(tEnd,x_m), a vector of values on the mesh points + +% Define dt with reference to both error and stability concerns +% Optimal dt for stability +dtOpt = dx^2/(2*gamma); +% Forcing an integer numbers of dt steps that terminate at tEnd +dt = tEnd/ceil(tEnd/dtOpt); + +% % testing %%%%%%%%%% +% dt = 0.005; + +% Define helper values +numRows = L/dx-1; +mu = gamma*dt/(dx^2); +baseDiag = ones(1,numRows); + +% Define A for the updating rule +% u^(j+1) = A*u^(j)+b^(j) +A = gallery('tridiag',mu*baseDiag(1:end-1),(1-2*mu)*baseDiag,mu*baseDiag(1:end-1)); + +% Initialize b as a vector of zeros +b = zeros(numRows,1); + +% Define a spatial mesh vector +xVals = linspace(0,L,round(L/dx)+1); + +% Set up a column vector u0 of the initial values of u when t=0 +u0 = (f(xVals))'; + +% Initialize the output to the interior points of u0 +u = u0(2:end-1); + +% To visualize the outputs +p = plot(xVals,u0,"LineWidth",4); +ax = p.Parent; + +% Set the y limits to reasonable fixed values +minAlpha = min(alpha(0:dt:tEnd)); +maxAlpha = max(alpha(0:dt:tEnd)); +minBeta = min(beta(0:dt:tEnd)); +maxBeta = max(beta(0:dt:tEnd)); +yLower = min([ax.YLim(1),minAlpha,minBeta]); +yUpper = max([ax.YLim(2),maxAlpha,maxBeta]); +scale = (yUpper-yLower)*0.05; +ax.YLim = [yLower-scale yUpper+scale]; + +title("Solving $\frac{\partial u}{\partial t} = \gamma \frac{\partial^2 u}{\partial x^2}$ explicitly","Interpreter","latex") +subtitle("$t=0$","Interpreter","latex") +xlabel("$x$","Interpreter","latex") +ylabel("$u$","Interpreter","latex") + +% Compute new values for u^(j+1) = Au^(j)+b^(j) +% Loop over timesteps to reach tEnd +for j = 0:(tEnd/dt - 1) + b(1) = alpha(j*dt); + b(end) = beta(j*dt); + u = A*u+b; + % To visualize the outputs + hold on + delete(ax.Children(1:end-1)); + plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],"SeriesIndex",2,"LineWidth",4) + subtitle("$t = $"+dt*(j+1)) + drawnow + pause(0.1) + hold off + % End visualization code +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/gauss2ptSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/gauss2ptSoln.m new file mode 100644 index 0000000..8b89e73 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/gauss2ptSoln.m @@ -0,0 +1,18 @@ +function Fapprox = gauss2ptSoln(f,a,b) +% gauss2pt takes three arguments +% f is a function handle +% a and b are the bounds of a definite integral +% +% Fapprox returns the Gaussian 2 point approximation of the +% integral from a to b of f(x) dx +w1 = 1; +w2 = 1; +x1 = -1/sqrt(3); +x2 = 1/sqrt(3); + +% Change variables from [-1,1] to [a,b] +scaledWeights = (b-a)/2*[w1 w2]; +scaledX = (b-a)/2*[x1; x2]+(b+a)/2; + +Fapprox = scaledWeights*f(scaledX); +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/implicitPDESoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/implicitPDESoln.m new file mode 100644 index 0000000..5432c56 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/implicitPDESoln.m @@ -0,0 +1,74 @@ +function u = implicitPDESoln(f,alpha,beta,tEnd,dx,gamma,L) +% Solve the 1D heat equation u_t = gamma*u_{xx} on a rod of length L +% u(t,0) = alpha(t) +% u(t,L) = beta(t) +% u(0,x) = f(x) +% The desired spatial resolution is dx +% Output is u = u(tEnd,x_m), a vector of values on the mesh points + + +% Define dt with reference to both error and stability concerns +% Optimal dt for stability +dtOpt = dx^2; +% Forcing an integer numbers of dt steps that terminate at tEnd +dt = tEnd/ceil(tEnd/dtOpt); + +% % testing %%%%%%%%%% +% dt = 0.005; + +% Define B for the updating rule +% Bu^(j+1)-b^(j+1) = u^(j) +numRows = L/dx-1; +mu = gamma*dt/(dx^2); +baseDiag = ones(1,numRows); +B = gallery('tridiag',-mu*baseDiag(1:end-1),(1+2*mu)*baseDiag,-mu*baseDiag(1:end-1)); + +% Initialize b as a vector of zeros +b = zeros(numRows,1); + +% Define a spatial mesh vector +xVals = linspace(0,L,round(L/dx)+1); + +% Set up a column vector u0 of the initial values of u when t=0 +u0 = (f(xVals))'; + +% Initialize the output to the interior points of u0 +u = u0(2:end-1); + +% To visualize the outputs +p = plot(xVals,u0,"LineWidth",4); +ax = p.Parent; + +% Set the y limits to reasonable fixed values +minAlpha = min(alpha(0:dt:tEnd)); +maxAlpha = max(alpha(0:dt:tEnd)); +minBeta = min(beta(0:dt:tEnd)); +maxBeta = max(beta(0:dt:tEnd)); +yLower = min([ax.YLim(1),minAlpha,minBeta]); +yUpper = max([ax.YLim(2),maxAlpha,maxBeta]); +scale = (yUpper-yLower)*0.05; +ax.YLim = [yLower-scale yUpper+scale]; + +title("Solving $\frac{\partial u}{\partial t} = \gamma \frac{\partial^2 u}{\partial x^2}$ implicitly","Interpreter","latex") +subtitle("$t=0$","Interpreter","latex") +xlabel("$x$","Interpreter","latex") +ylabel("$u$","Interpreter","latex") + +% Compute new values for B*u^(j+1) - b^(j+1) = Au^(j) +% Loop over timesteps to reach tEnd +for j = 0:(tEnd/dt - 1) + b(1) = alpha((j+1)*dt); + b(end) = beta((j+1)*dt); + u = B\(u+b); + % To visualize the outputs + hold on + delete(ax.Children(1:end-1)); + plot(xVals,[alpha((j+1)*dt);u;beta((j+1)*dt)],"LineWidth",4,SeriesIndex="none") + subtitle("$t = $"+dt*(j+1)) + drawnow + pause(0.1) + hold off + % End visualization code +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/improvedEulerSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/improvedEulerSoln.m new file mode 100644 index 0000000..5fe33e8 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/improvedEulerSoln.m @@ -0,0 +1,30 @@ +function [tApprox,yApprox]=improvedEulerSoln(f,init,n,h) +% The improvedEuler function takes four arguments +% f is a function handle, e.g. @(t,y) t.^2.*cos(y) +% init = is the initial value vector [t0 y0] +% h is the step size and +% n is the number of steps to estimate +% +% The function returns two length (n+1) vectors of +% estimated x and y values + +% This method is also called the Heun formula + +% Initialize the output with the initial value +tApprox = nan(n+1,1); +yApprox = nan(n+1,1); +tApprox(1) = init(1); +yApprox(1) = init(2); + + +for i = 2:(n+1) + tPrev = tApprox(i-1); + ti = tPrev+h; + yPrev = yApprox(i-1); + yiGuess = yPrev+f(tPrev,yPrev)*h; + yiImproved = (yiGuess+yPrev+f(ti,yiGuess)*h)/2; + tApprox(i) = ti; + yApprox(i) = yiImproved; +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSimpSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSimpSoln.m new file mode 100644 index 0000000..ebeac51 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSimpSoln.m @@ -0,0 +1,32 @@ +function yNew = linInterpSimp(xData,yData,xNew) +% linInterp interpolates the point(s) (xNew(i),yNew(i)) using a +% piecewise linear interpolation on the input data xData +% and output data yData + +% Initialize output values vector +yNew = nan(size(xNew)); + +% Is xData decreasing? +if xData(2)-xData(1) < 0 + % Reorder xData and yData so that xData is increasing + xData = xData(end:-1:1); + yData = yData(end:-1:1); +end + +% Check each value in xNew and determine its +% corresponding interpolated value in yNew +for k = 1:length(xNew) + curVal = xNew(k); + for j = 1:length(xData)-1 + if curVal == xData(j) + yNew(k) = yData(j); + elseif (xData(j) < curVal) && (curVal < xData(j+1)) + yNew(k) = yData(j) + (curVal - xData(j))*(yData(j+1)-yData(j))/(xData(j+1)-xData(j)); + end + end + if curVal == xData(end) + yNew = yData(end); + end +end + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSoln.m new file mode 100644 index 0000000..3e04533 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/linInterpSoln.m @@ -0,0 +1,76 @@ +function yNew = linInterp(xData,yData,xNew) +% linInterp interpolates the point(s) (xNew(i),yNew(i)) using a +% piecewise linear interpolation on the input data xData +% and output data yData + +% Initialize output values vector +yNew = nan(size(xNew)); + +% Check whether the input values make sense and have the expected shape +if isvector(xData) && isvector(xNew) + % Ensure that xData is a row vector + if ~isrow(xData) + xData = xData'; + end + + % Ensure that xNew is a row vector + if ~isrow(xNew) + xNew = xNew'; + end +else + warning("The input data must be vectors.") + return +end + +if max(xNew)>max(xData) || min(xNew)0) == length(xData)-1 + % xData is increasing + flag = 1; +elseif nnz(diff(xData)<0) == length(xData)-1 + % xData is decreasing + flag = -1; +else + warning("The input data is not properly ordered. " + ... + "The xData must be monotonic.") + return +end + +% Find the closest datapoint in xData for each value xNew +[distVal,idx] = min((xNew'-xData).^2,[],2); +midIdx = distVal~=0; + +% Calculate the values of yNew that occur on values of yData +yNew(~midIdx) = yData(idx(~midIdx)); + +% Identify the indices of the endpoints of the relevant interval for +% non-endpoint values of xNew +altEndPt = sign((xNew(midIdx)-xData(idx(midIdx))).*flag); + +% if max(idx(altEndPt==0))< length(xData) +% altEndPt(altEndPt==0) = 1; +% elseif min(idx(altEndPt==0))< length(xData) +rowIdx = idx'; +endIdx = sort([rowIdx(midIdx);rowIdx(midIdx)+altEndPt]); + +% Compute the x and y values of the endpoints +endxLeft = xData(endIdx(1,:)); +endxRight = xData(endIdx(2,:)); +endyLeft = yData(endIdx(1,:)); +endyRight = yData(endIdx(2,:)); + + +% Use point-slope form to evaluate yNew on intervior points +% y = y_1 + m*(x-x_1) +yNew(midIdx) = endyLeft + (endyRight-endyLeft)./(endxRight-endxLeft)... + .*(xNew(midIdx)-endxLeft); + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/pcHInterpSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/pcHInterpSoln.m new file mode 100644 index 0000000..39ea544 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/pcHInterpSoln.m @@ -0,0 +1,97 @@ +function yNew = pcHInterpSoln(xData,yData,xNew) +% xData is assumed to be a uniformly increasing vector and all values +% xNew should be contained in the interval [xData(1),xData(end)] +% Use the piecewise cubic spline formulas defined in interpolation.m +% to compute interpolated values yNew at points xNew + +% %% Ensure that xData and yData are column vectors +[xRows,~] = size(xData); +[yRows,~] = size(yData); +if xRows == 1 + xData = xData'; +end +if yRows == 1 + yData = yData'; +end + +% %% Set up the value of n = number of intervals between points in xData +n = length(xData); + +% %% Calculate the vector of values h where +% h(i) = h_i = xData(i+1)-xData(i) +h = xData(2:end)-xData(1:end-1); + +% %% Calculate the vector of slopes m where +% m(i) = m_i = (y_(i+1)-y_i)/h(i) +% Remember to use pointwise operations +m = (yData(2:end)-yData(1:end-1))./h; + +% %% Determine the values of the slopes for the interpolant +d = nan(n,1); +% %% Start by calculating the slopes at interior points +% If the sign of the slope changes between xData(i-1) and xData(i+1), or +% if the slope is 0 in interval i-1 or i, set d(i) to be 0. +% Otherwise, use a weighted centered difference approximation +% where (w1+w2)/d(i) = w1/m(i-1)+w2/m(i) +% with w1 = 2*h(i)+h(i-1) and w2 = 2*h(i-1)+h(i) +for i = 2:n-1 + if m(i-1) == 0 || m(i)/m(i-1) <= 0 + % Check for local minima or maxima + d(i) = 0; + else + % Compute weights + w1 = 2*h(i)+h(i-1); + w2 = 2*h(i-1)+h(i); + d(i) = (w1+w2)/(w1/m(i-1)+w2/m(i)); + end +end + +% Add the slopes at i=1 and i=n using the formula +% ((2*h1+h2)*m1-h1*m2)/(h1+h2) where +% h1 is the length of the first step back/forward and +% h2 is the length of the second step back/foward and +% m1 is the slope over the first interval back/forward and +% m2 is the slope over the second interval back/forward +d(1) = ((2*h(1)+h(2))*m(1)-h(1)*m(2))/(h(1)+h(2)); +d(n) = ((2*h(n-1)+h(n-2))*m(n-1)-h(n-1)*m(n-2))/(h(n-1)+h(n-2)); + +d(1) = checkOvershoot(d(1),m(1),m(2)); +d(n) = checkOvershoot(d(n),m(n-1),m(n-2)); + +% %% Set up the coefficients for P(x) in each interval where +% xData(k) <= x < xData(k+1) and P_k(x) = a3*s^3+a2*s^2+a1*s+a0 +a3 = -2*m+d(1:end-1)+d(2:end); +a2 = 3*m-2*d(1:end-1)-d(2:end); +a1 = d(1:end-1); +a0 = yData(1:end-1); + +% %% Initialize the output vector yNew +yNew = nan(size(xNew)); + +% %% Loop over all entries in xNew and compute the interpolated value +for i = 1:length(xNew) + % For each value xNew(i), determine the value k such that + % xData(k) <= xNew(i) < xData(k+1) + j = 1; + while xData(j) <= xNew(i) && j < length(xData) + k=j; + j = j+1; + end + if xNew(i)==xData(end) + yNew(i) = yData(end); + else + % Evaluate the local variables s = xNew(i)-x_k + s = xNew(i)-xData(k); + % Use the polynomial formula P_k(x) to evaluate yNew = P_k(xNew(i)) + yNew(i) = a3(k)*s^3+a2(k)*s^2+a1(k)*s+a0(k); + end +end +end +function d = checkOvershoot(d,m1,m2) +if sign(d) ~= sign(m1) + d=0; +elseif sign(d) ~= sign(m2) & (abs(d)>abs(3*m1)) + d = 3*m1; +end +end + diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/pcSplineSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/pcSplineSoln.m new file mode 100644 index 0000000..5a6e28e --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/pcSplineSoln.m @@ -0,0 +1,93 @@ +function [yNew,d] = pcSplineSoln(xData,yData,xNew) +% xData is assumed to be a uniformly increasing vector and all values +% xNew should be contained in the interval [xData(1),xData(end)] +% Use the piecewise cubic spline formulas defined in interpolation.m +% to compute interpolated values yNew at points xNew + +% %% Ensure that xData and yData are both column vectors +[xRows,~] = size(xData); +[yRows,~] = size(yData); +if xRows == 1 + xData = xData'; +end +if yRows == 1 + yData = yData'; +end + +% %% Set up the value of n = number of points in xData +n = length(xData); + +% %% Calculate the vector of values h where +% h(i) = h_i = xData(i+1)-xData(i) +h = xData(2:end)-xData(1:end-1); + +% %% Calculate the vector of slopes m where +% m(i) = m_i = (y_(i+1)-y_i)/h(i) +% Remember to use pointwise operations +m = (yData(2:end)-yData(1:end-1))./h; + +% %% Set up the vector r +% r(1) = 5/2m_1 + 1/2m_2 and r(n) = 1/2m_(n-2)+5/2m_n-1 +% with the middle values all given by +% r(i) = 3*(h(i)m(i-1)+h(i-1)*m(i)) +% Remember to use pointwise operations +r = nan(n,1); +r(1) = 5/2*m(1)+m(2)/2; +r(n) = m(n-2)/2+5/2*m(n-1); +r(2:n-1) = 3*(h(2:n-1).*m(1:n-2)+h(1:n-2).*m(2:n-1)); + + +% %% Set up the vectors of diagonals for A +mainDiag = ones(1,n); +plus1Diag = mainDiag(1:end-1); +minus1Diag = mainDiag(1:end-1); + +% mainDiag(1) = h_2 and mainDiag(n) = h_(n-2) +% with the middle values all given by +% mainDiag(i) = 2(h_(i-1)+h_i) +mainDiag(1) = h(2); +mainDiag(n) = h(n-2); +mainDiag(2:n-1) = 2*(h(1:n-2)+h(2:n-1)); + +% plus1Diag(1) = h_2+h_1 and plus1Diag(i) = h_(i-1) +plus1Diag(1) = h(2)+h(1); +plus1Diag(2:end) = h(1:n-2); +% minus1Diag(n-1) = h_(n-1)+h_(n-2) and minus1Diag(i) = h_(i+1) +minus1Diag(n-1) = h(n-1)+h(n-2); +minus1Diag(1:end-1) = h(2:n-1); + +% Set up the matrix A as a sparse tridiagonal matrix +A = gallery("tridiag",minus1Diag,mainDiag,plus1Diag); + +% Use matrix operations to solve for the values of d +d = A\r; + +% %% Set up the coefficients for P(x) in each interval where +% xData(k) <= x < xData(k+1) and P_k(x) = a3*s^3+a2*s^2+a1*s+a0 +a3 = -2*m+d(1:end-1)+d(2:end); +a2 = 3*m-2*d(1:end-1)-d(2:end); +a1 = d(1:end-1); +a0 = yData(1:end-1); + +% %% Initialize the output vector yNew +yNew = nan(size(xNew)); + +% %% Loop over all entries in xNew and compute the interpolated value +for i = 1:length(xNew) + % For each value xNew(i), determine the value k such that + % xData(k) <= xNew(i) < xData(k+1) + j = 1; + while xData(j) <= xNew(i) && j < length(xData) + k=j; + j = j+1; + end + if xNew(i)==xData(end) + yNew(i) = yData(end); + else + % Evaluate the local variables s = xNew(i)-x_k + s = xNew(i)-xData(k); + % Use the polynomial formula P_k(x) to evaluate yNew = P_k(xNew(i)) + yNew(i) = a3(k)*s^3+a2(k)*s^2+a1(k)*s+a0(k); + end +end +end \ No newline at end of file diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/rk4Soln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/rk4Soln.m new file mode 100644 index 0000000..62b8729 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/rk4Soln.m @@ -0,0 +1,27 @@ +function [t,y] = rk4Soln(f,tspan,y0,n) +% rk4 implements a four-step Runge-Kutta method on function f +% over t = tspan(1) to t = tspan(2) where y(tspan(1))=y0 +% using n intervals +% +% t is a vector of t values and y is a vector of estimated y(t) values + +t = (linspace(tspan(1),tspan(2),n+1))'; + +y = nan(n+1,1); + +y(1) = y0; + +for i = 1:n + tLeft = t(i); + tRight = t(i+1); + tMid = (tLeft+tRight)/2; + yLeft = y(i); + h = t(i+1)-t(i); + k1 = f(tLeft,yLeft); + k2 = f(tMid,yLeft+0.5*h*k1); + k3 = f(tMid,yLeft+0.5*h*k2); + k4 = f(tRight,yLeft+h*k3); + y(i+1) = yLeft + (h/6)*(k1+2*k2+2*k3+k4); +end + +end diff --git a/InstructorResources/Solutions/FunctionLibrarySolutions/simpsonsRuleSoln.m b/InstructorResources/Solutions/FunctionLibrarySolutions/simpsonsRuleSoln.m new file mode 100644 index 0000000..e384290 --- /dev/null +++ b/InstructorResources/Solutions/FunctionLibrarySolutions/simpsonsRuleSoln.m @@ -0,0 +1,22 @@ +function area = simpsonsRuleSoln(f,a,b,n) +% simpsonsRule takes four arguments +% f is a function handle +% a and b are the endpoints of the integral +% n is the number of intervals to use for the approximation +% +% area is the value computed by using a three-point Simpson's rule +% approximation on each subinterval + +% Discretize the function on the endpoints of the intervals +endPts = linspace(a,b,n+1); +fEndpts = f(endPts); + +% Discretize the function on the midpoints of the intervals +midPts = (endPts(2:end)+endPts(1:end-1))/2; +fMidpts = f(midPts); + +% Combine the terms via the (h/3)*(f(a) + 4*f((b+a)/2) + f(b)) +area = (b-a)/(6*n)*(sum(fEndpts) + sum(fEndpts(2:end-1)) + 4*sum(fMidpts)); + + +end \ No newline at end of file diff --git a/InstructorResources/Solutions/HandSoln.mlx b/InstructorResources/Solutions/HandSoln.mlx new file mode 100644 index 0000000000000000000000000000000000000000..f2aac7a58a14c2b2fad0cc90b9be9937296dfa3a GIT binary patch literal 49828 zcmZUZQ?Mwo(xtb}vu)e9ZQHhO+qQYOZQHhO+k4LaXR2my%|nu^ysa;t>dxxOO96u* z0{{R({2K%SuYaImxB&qG4uAmwkpAsx3E9~?o7g(*DSOzPIO)*3+gLX%jmr+wBXqw~ zQR^uj3;+@&H-V!@Kr5Gf_r*&iRqhzeb$s!-DoFwoC_>ue&Tc+Yqbs!jN=#RIevuDYQ4trnH*Nw3j9ML3nq7o|8SVFYBm>-xL zbc00}*#!q#Lc&Hy-M=X+uOMJfkXzi1hu0sVqRmklvVBwjP1C**b|~GyvPG)>jJH7L zOX}kwp~??Op;GdLOu7y_!d-?#(mWr~0P%hZ-?WdENVZ*Fp%dbyaGy2`NndTba6a-* zl5?v4LGFBQ7@2(t#`?px0K?4_80%K3hT1~3s_>IF)Q3rV$>79m%OkOc=3pHO!h#SE zl8s|ew&{oLe8r8WU$y#c?c<)dj{%p=2mcriMX(p7v9|9JD}EaQRsWfvG>;|!U$EPs zIQPi^!Nvsv0D%4nThGzN+KG<#KXY|b|3Anu{I}ncVZ?-?6snb60*}*wU+Uo3g&1UK#6i@;)M4 zk|d)3F;#S>7V#t~_$>SSTY4veg{Te#G8X^_aOdJbA zLk7WvjXklr+c9FzVd*LwN4_I1|KtIID%GyCD!vmV3Aaa-S&7F?2LB=_H3IY_4em6f zUbiIj1oz)SGk`Rf=Kp~t0s05^-)dvvY;9mj_rJLs+Znmo{0rs(#PI(x?oODr9HNI2 zd3}c}@~P&|PyS=(3fzcOikCl9VMOYypCx;Gd$}MZG+yIOLCg6H5fcXA8tEpx4py6= zL<8~SG`E5UN|$yxh!n0pW~CWq2I@A052wVG>rtYZ_F!m)nsU$>Sd#n}oqigEV}e2W znb{R`RKCQ35zVYOPXA)_8GcR%Tq+t4tD4;u=)8av4oxyB5|DhRt|fR$S&}rLg}FoY zdr=cJNmFc<>SV88mZDpa`=YW9yLn-UxmP35Yc}_r)?a5v|JB|fp0z7GP4?d~xSM7B z4?qC`c2NHJRsKIP{$C8&>eIGZYzRG{6zV_%#eyrGvRkE+#r(}i%Kky7&nr-e;thpT%97|S8CX^33}g8d6A8BQ}*>cDo9VVDgHa6@*t&D7#PWG2& z3)@>F>N!tl0y?BcN5#bWgfWmJ3nvm}p}v^+cS~ULR(s;Jr?{9%JC~s8IAZMgmAbwZ zAL>VM3zth1Ru-ez&zsFwg3=8!ZWq{YdExk8{5Uy1JYTBh_N@|}Ev~cjS+8EZl_oPz zgA;;1PTI(Hk%%+|P6o=%$HBdndNh}icHkIR}`C>+TFK`n=ii~S9gyhKes5m);2<$Cq-B)U)>Te5C)am z35TPR(6kJ=1JnS;6d>j9)QMyr!Q&t}?kULn1Z7PJA`sP${aa?b#|`oVAMaT`Dg)O- zy(aun7$%&Q?Rs9b_8x5xdc?S~5P9IBcAvt~zVpWAt%&H zeYAk+Apoq^c1e98Z&dirG`#C$s7N~T9R-Ej*Up!toIe;5vHXT zY6(-*0gsdnz$B&=;}FYHcGT)r{ph~(J_54U!q&U5lAP1h)9aEASV_SEd)k4W_=FyG zD)-4E3etmB;S)^;qF+y_2kB!&hqD>I6X-#l&Tp!iI#*lbCCS#>yo0QgIAn-J=V%q4 zR>%l0sR8ntIbPVq+FHBtN)QZ@JTTQ+)TptJm6xYSQHcs=+Jl6Tj14g+wT$!lBRNS2 zUEXaGImyYoD!Elop*gk62_AV)8pd83f_U&Nj^%sJf4JjmuKwWCVr6sp0+;gf!j#r8 zsb?35_Q|v%lCWU(O-&vgIgcdd&RmB)EN+wEp1gt%osl$B3yWFk9&1oQ!Uq|H%9+?S zd!}{Zgd-DTax|Hp@tn=iP-g|fOYUNW?ShzIdx%;yw_NzWZ+|W}{?z^cd>5*CVf8DbewIpItWvHUBKED6a-Lv^7#LmtkTRm^kGOyPen6gHKNzR51Z>VM0=PBXU|} zI_H&Y`tR1f;kDOoxtuTG&nKM{c~U`9n5{kYZL5eBrab7MW=n7w-aDu5be4C|qu2

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--git a/SoftwareTests/CheckTestResults.m b/SoftwareTests/CheckTestResults.m index 81c02c5..189346c 100644 --- a/SoftwareTests/CheckTestResults.m +++ b/SoftwareTests/CheckTestResults.m @@ -4,7 +4,7 @@ end properties (ClassSetupParameter) - Project = {''}; + Project = {currentProject()}; end properties (TestParameter) @@ -15,8 +15,8 @@ methods (TestParameterDefinition,Static) function Version = GetResults(Project) - RootFolder = currentProject().RootFolder; - Version = dir(fullfile(RootFolder,"SoftwareTests","TestResults*.txt")); + RootFolder = Project.RootFolder; + Version = dir(fullfile(RootFolder,"public","TestResults*.txt")); Version = extractBetween([Version.name],"TestResults_",".txt"); end @@ -37,9 +37,11 @@ function SetUpSmokeTest(testCase,Project) methods(Test) function CheckResults(testCase,Version) - File = fullfile("SoftwareTests","TestResults_"+Version+".txt"); + File = fullfile("public","TestResults_"+Version+".txt"); Results = readtable(File,TextType="string"); - testCase.verifyTrue(all(Results.Passed)); + if ~all(Results.Passed) + error("Some of the tests did not pass.") + end end end diff --git a/SoftwareTests/CreateBadge.m b/SoftwareTests/CreateBadge.m deleted file mode 100644 index b3c8558..0000000 --- a/SoftwareTests/CreateBadge.m +++ /dev/null @@ -1,28 +0,0 @@ -% Create the test suite with SmokeTest and Function test if they exist -Suite = testsuite("CheckTestResults"); - -% Create a runner with no plugins -Runner = matlab.unittest.TestRunner.withNoPlugins; - -% Run the test suite -Results = Runner.run(Suite); - -% Format the results in a table and save them -Results = table(Results'); -Results = Results(Results.Passed,:); -Version = extractBetween(string(Results.Name),"Version=",")"); - - -% Format the JSON file -Badge = struct; -Badge.schemaVersion = 1; -Badge.label = "Tested with"; -if size(Results,1) >= 1 - Badge.color = "success" - Badge.message = join(Version," | "); -else - Badge.color = "failure"; - Badge.message = "Pipeline fails"; -end -Badge = jsonencode(Badge); -writelines(Badge,fullfile("Images","TestedWith.json")); \ No newline at end of file diff --git a/SoftwareTests/FunctionTests.m b/SoftwareTests/FunctionTests.m index 7246b9d..2d3b15c 100644 --- a/SoftwareTests/FunctionTests.m +++ b/SoftwareTests/FunctionTests.m @@ -1,7 +1,7 @@ classdef FunctionTests < matlab.unittest.TestCase properties (ClassSetupParameter) - Project = {''}; + Project = {currentProject()}; end methods (TestClassSetup) diff --git a/SoftwareTests/PostFiles/PostHand.m b/SoftwareTests/PostFiles/PostHand.m new file mode 100644 index 0000000..232ae97 --- /dev/null +++ b/SoftwareTests/PostFiles/PostHand.m @@ -0,0 +1,8 @@ +% Post-run script for Hand.mlx +% ---- Post-run commands ----- + +clear x y +if exist(fullfile(currentProject().RootFolder,"Data","hand.mat"),"file") + fp = fullfile(currentProject().RootFolder,"Data","hand.mat"); + delete(fp) +end \ No newline at end of file diff --git a/SoftwareTests/PostFiles/PostHandSoln.m b/SoftwareTests/PostFiles/PostHandSoln.m new file mode 100644 index 0000000..7972e87 --- /dev/null +++ b/SoftwareTests/PostFiles/PostHandSoln.m @@ -0,0 +1,8 @@ +% Post-run script for HandSoln.mlx +% ---- Post-run commands ----- + +clear x y +if exist(fullfile(currentProject().RootFolder,"Data","testDrawing.mat"),"file") + fp = fullfile(currentProject().RootFolder,"Data","testDrawing.mat"); + delete(fp) +end diff --git a/SoftwareTests/PostFiles/PostImplementExplicitSolver.m b/SoftwareTests/PostFiles/PostImplementExplicitSolver.m new file mode 100644 index 0000000..7597e66 --- /dev/null +++ b/SoftwareTests/PostFiles/PostImplementExplicitSolver.m @@ -0,0 +1,3 @@ +% Post-run script for ImplementExplicitSolver.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostImplementExplicitSolverSoln.m b/SoftwareTests/PostFiles/PostImplementExplicitSolverSoln.m new file mode 100644 index 0000000..5a23bcc --- /dev/null +++ b/SoftwareTests/PostFiles/PostImplementExplicitSolverSoln.m @@ -0,0 +1,2 @@ +% Post-run script for ImplementExplicitSolverSoln.mlx +% ---- Post-run commands ----- diff --git a/SoftwareTests/PostFiles/PostInterpolation.m b/SoftwareTests/PostFiles/PostInterpolation.m new file mode 100644 index 0000000..b2bd8da --- /dev/null +++ b/SoftwareTests/PostFiles/PostInterpolation.m @@ -0,0 +1,3 @@ +% Post-run script for Interpolation.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostInterpolationSoln.m b/SoftwareTests/PostFiles/PostInterpolationSoln.m new file mode 100644 index 0000000..25034ae --- /dev/null +++ b/SoftwareTests/PostFiles/PostInterpolationSoln.m @@ -0,0 +1,3 @@ +% Post-run script for InterpolationSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostMeasureLakeArea.m b/SoftwareTests/PostFiles/PostMeasureLakeArea.m new file mode 100644 index 0000000..a891103 --- /dev/null +++ b/SoftwareTests/PostFiles/PostMeasureLakeArea.m @@ -0,0 +1,3 @@ +% Post-run script for MeasureLakeArea.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostMeasureLakeAreaSoln.m b/SoftwareTests/PostFiles/PostMeasureLakeAreaSoln.m new file mode 100644 index 0000000..293a364 --- /dev/null +++ b/SoftwareTests/PostFiles/PostMeasureLakeAreaSoln.m @@ -0,0 +1,3 @@ +% Post-run script for MeasureLakeAreaSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalDerivatives.m b/SoftwareTests/PostFiles/PostNumericalDerivatives.m new file mode 100644 index 0000000..fd4db35 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalDerivatives.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalDerivatives.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalDerivativesSoln.m b/SoftwareTests/PostFiles/PostNumericalDerivativesSoln.m new file mode 100644 index 0000000..bea2935 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalDerivativesSoln.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalDerivativesSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalIntegration.m b/SoftwareTests/PostFiles/PostNumericalIntegration.m new file mode 100644 index 0000000..8c2905e --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalIntegration.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalIntegration.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalIntegrationSoln.m b/SoftwareTests/PostFiles/PostNumericalIntegrationSoln.m new file mode 100644 index 0000000..0fbcd20 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalIntegrationSoln.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalIntegrationSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalODEs.m b/SoftwareTests/PostFiles/PostNumericalODEs.m new file mode 100644 index 0000000..9415815 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalODEs.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalODEs.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalODEsSoln.m b/SoftwareTests/PostFiles/PostNumericalODEsSoln.m new file mode 100644 index 0000000..c6cb8a3 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalODEsSoln.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalODEsSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalPDEs.m b/SoftwareTests/PostFiles/PostNumericalPDEs.m new file mode 100644 index 0000000..8fd5b1b --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalPDEs.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalPDEs.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostNumericalPDEsSoln.m b/SoftwareTests/PostFiles/PostNumericalPDEsSoln.m new file mode 100644 index 0000000..546a1e7 --- /dev/null +++ b/SoftwareTests/PostFiles/PostNumericalPDEsSoln.m @@ -0,0 +1,3 @@ +% Post-run script for NumericalPDEsSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostPendulumModels.m b/SoftwareTests/PostFiles/PostPendulumModels.m new file mode 100644 index 0000000..693533c --- /dev/null +++ b/SoftwareTests/PostFiles/PostPendulumModels.m @@ -0,0 +1,3 @@ +% Post-run script for PendulumModels.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostPendulumModelsSoln.m b/SoftwareTests/PostFiles/PostPendulumModelsSoln.m new file mode 100644 index 0000000..8581695 --- /dev/null +++ b/SoftwareTests/PostFiles/PostPendulumModelsSoln.m @@ -0,0 +1,3 @@ +% Post-run script for PendulumModelsSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostTrackStorms.m b/SoftwareTests/PostFiles/PostTrackStorms.m new file mode 100644 index 0000000..d495fd5 --- /dev/null +++ b/SoftwareTests/PostFiles/PostTrackStorms.m @@ -0,0 +1,3 @@ +% Post-run script for TrackStorms.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostFiles/PostTrackStormsSoln.m b/SoftwareTests/PostFiles/PostTrackStormsSoln.m new file mode 100644 index 0000000..63ff073 --- /dev/null +++ b/SoftwareTests/PostFiles/PostTrackStormsSoln.m @@ -0,0 +1,3 @@ +% Post-run script for TrackStormsSoln.mlx +% ---- Post-run commands ----- + diff --git a/SoftwareTests/PostSmokeTest.m b/SoftwareTests/PostSmokeTest.m new file mode 100644 index 0000000..7dc6b53 --- /dev/null +++ b/SoftwareTests/PostSmokeTest.m @@ -0,0 +1,66 @@ +function PostSmokeTest(ShowReport) +arguments + ShowReport (1,1) logical = false; +end + +import matlab.unittest.plugins.TestRunnerPlugin; + +% Create the runner: +Runner = matlab.unittest.TestRunner.withTextOutput; + +% Create report folder: +Folder = fullfile(currentProject().RootFolder,"public"); +if ~isfolder(Folder) + mkdir(Folder) +end + +% Add HTML plugin: +Plugin = matlab.unittest.plugins.TestReportPlugin.producingHTML(Folder,... + "IncludingPassingDiagnostics",true,... + "IncludingCommandWindowText",false,... + "LoggingLevel",matlab.automation.Verbosity(1)); +Runner.addPlugin(Plugin); + + +% Create Test Suite +Suite = testsuite("CheckTestResults"); + +% Run the test suite +Results = Runner.run(Suite); + + +% Format the results in a table and save them +Results = table(Results'); +Version = extractBetween(string(Results.Name),"Version=",")"); +Passed = Results.Passed; + +% Add link to other report +File = fileread(fullfile("public","index.html")); +for iVer = 1:length(Version) + File = replace(File,"Version="+Version(iVer),... + sprintf('%s',Version(iVer),"Version="+Version(iVer))); +end +writelines(File,fullfile("public","index.html"),"WriteMode","overwrite"); + +% Format the JSON file +Badge = struct; +Badge.schemaVersion = 1; +Badge.label = "Test Status"; +if all(Passed) + Badge.color = "success"; + Badge.message = join("R"+Version," | "); +elseif any(Passed) + Badge.color = "yellowgreen"; + Badge.message = join("R") +elseif all(~Passed) + Badge.color = "critical"; + Badge.message = join("R"+Version," | "); +end +Badge = jsonencode(Badge); +writelines(Badge,fullfile("Images","TestedWith.json")); + +if ShowReport + web(fullfile(Folder,"index.html")) +end + +end \ No newline at end of file diff --git a/SoftwareTests/PreFiles/PreHand.m b/SoftwareTests/PreFiles/PreHand.m new file mode 100644 index 0000000..75312b8 --- /dev/null +++ b/SoftwareTests/PreFiles/PreHand.m @@ -0,0 +1,11 @@ +% Pre-run script for Hand.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + +CollectData = @()NewCollectData(); + +function varargout = NewCollectData() + load("drawing.mat","x","y") + varargout = {x,y} +end \ No newline at end of file diff --git a/SoftwareTests/PreFiles/PreHandSoln.m b/SoftwareTests/PreFiles/PreHandSoln.m new file mode 100644 index 0000000..be39262 --- /dev/null +++ b/SoftwareTests/PreFiles/PreHandSoln.m @@ -0,0 +1,5 @@ +% Pre-run script for HandSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreImplementExplicitSolver.m b/SoftwareTests/PreFiles/PreImplementExplicitSolver.m new file mode 100644 index 0000000..351a589 --- /dev/null +++ b/SoftwareTests/PreFiles/PreImplementExplicitSolver.m @@ -0,0 +1,5 @@ +% Pre-run script for ImplementExplicitSolver.mlx +% ---- Known Issues ----- +KnownIssuesID = "MATLAB:badsubscript"; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreImplementExplicitSolverSoln.m b/SoftwareTests/PreFiles/PreImplementExplicitSolverSoln.m new file mode 100644 index 0000000..eb3a4ce --- /dev/null +++ b/SoftwareTests/PreFiles/PreImplementExplicitSolverSoln.m @@ -0,0 +1,5 @@ +% Pre-run script for ImplementExplicitSolverSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- +addpath(fullfile(currentProject().RootFolder,"InstructorResources","Solutions","FunctionLibrarySolutions")) diff --git a/SoftwareTests/PreFiles/PreInterpolation.m b/SoftwareTests/PreFiles/PreInterpolation.m new file mode 100644 index 0000000..9b85e5d --- /dev/null +++ b/SoftwareTests/PreFiles/PreInterpolation.m @@ -0,0 +1,5 @@ +% Pre-run script for Interpolation.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreInterpolationSoln.m b/SoftwareTests/PreFiles/PreInterpolationSoln.m new file mode 100644 index 0000000..e2e2e8d --- /dev/null +++ b/SoftwareTests/PreFiles/PreInterpolationSoln.m @@ -0,0 +1,6 @@ +% Pre-run script for InterpolationSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- +addpath(fullfile(currentProject().RootFolder,"InstructorResources","Solutions","FunctionLibrarySolutions")) + \ No newline at end of file diff --git a/SoftwareTests/PreFiles/PreMeasureLakeArea.m b/SoftwareTests/PreFiles/PreMeasureLakeArea.m new file mode 100644 index 0000000..a35fd10 --- /dev/null +++ b/SoftwareTests/PreFiles/PreMeasureLakeArea.m @@ -0,0 +1,12 @@ +% Pre-run script for MeasureLakeArea.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + +load lakeData.mat lakeX lakeY +[~,idx] = max(diff(lakeX)); +x = lakeX([idx:end 1:idx-1]); +y = lakeY([idx:end 1:idx-1]); +p.Position = [x y]; +drawpolygon = p; +openfig = @(in)figure; \ No newline at end of file diff --git a/SoftwareTests/PreFiles/PreMeasureLakeAreaSoln.m b/SoftwareTests/PreFiles/PreMeasureLakeAreaSoln.m new file mode 100644 index 0000000..0cc189d --- /dev/null +++ b/SoftwareTests/PreFiles/PreMeasureLakeAreaSoln.m @@ -0,0 +1,24 @@ +% Pre-run script for MeasureLakeAreaSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- +load myLakeData.mat lakeX lakeY +[~,idx] = max(diff(lakeX)); +x = lakeX([idx:end 1:idx-1]); +y = lakeY([idx:end 1:idx-1]); +p.Position = [x y]; +drawpolygon = p; +openfig = @(in)figure; + +IdentifyLakeShape = @()LoadModernData(); +MeasureGeoScale = @()LoadGeoScale(); + +function roi = LoadModernData +load myModernLakeData.mat modLakeLat modLakeLong +out.Position = [modLakeLat modLakeLong]; +roi=out; +end + +function longScale = LoadGeoScale() +load myModernLakeData.mat longScale +end \ No newline at end of file diff --git a/SoftwareTests/PreFiles/PreNumericalDerivatives.m b/SoftwareTests/PreFiles/PreNumericalDerivatives.m new file mode 100644 index 0000000..aff8e94 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalDerivatives.m @@ -0,0 +1,5 @@ +% Pre-run script for NumericalDerivatives.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreNumericalDerivativesSoln.m b/SoftwareTests/PreFiles/PreNumericalDerivativesSoln.m new file mode 100644 index 0000000..d02f8c0 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalDerivativesSoln.m @@ -0,0 +1,5 @@ +% Pre-run script for NumericalDerivativesSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreNumericalIntegration.m b/SoftwareTests/PreFiles/PreNumericalIntegration.m new file mode 100644 index 0000000..58ac7c7 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalIntegration.m @@ -0,0 +1,5 @@ +% Pre-run script for NumericalIntegration.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreNumericalIntegrationSoln.m b/SoftwareTests/PreFiles/PreNumericalIntegrationSoln.m new file mode 100644 index 0000000..fa818a8 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalIntegrationSoln.m @@ -0,0 +1,6 @@ +% Pre-run script for NumericalIntegrationSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- +addpath(fullfile(currentProject().RootFolder,"InstructorResources","Solutions","FunctionLibrarySolutions")) + diff --git a/SoftwareTests/PreFiles/PreNumericalODEs.m b/SoftwareTests/PreFiles/PreNumericalODEs.m new file mode 100644 index 0000000..a755614 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalODEs.m @@ -0,0 +1,5 @@ +% Pre-run script for NumericalODEs.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreNumericalODEsSoln.m b/SoftwareTests/PreFiles/PreNumericalODEsSoln.m new file mode 100644 index 0000000..8b10803 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalODEsSoln.m @@ -0,0 +1,6 @@ +% Pre-run script for NumericalODEsSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + +addpath(fullfile(currentProject().RootFolder,"InstructorResources","Solutions","FunctionLibrarySolutions")) diff --git a/SoftwareTests/PreFiles/PreNumericalPDEs.m b/SoftwareTests/PreFiles/PreNumericalPDEs.m new file mode 100644 index 0000000..a1cfb6c --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalPDEs.m @@ -0,0 +1,5 @@ +% Pre-run script for NumericalPDEs.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreNumericalPDEsSoln.m b/SoftwareTests/PreFiles/PreNumericalPDEsSoln.m new file mode 100644 index 0000000..e3e5fa8 --- /dev/null +++ b/SoftwareTests/PreFiles/PreNumericalPDEsSoln.m @@ -0,0 +1,6 @@ +% Pre-run script for NumericalPDEsSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + +addpath(fullfile(currentProject().RootFolder,"InstructorResources","Solutions","FunctionLibrarySolutions")) diff --git a/SoftwareTests/PreFiles/PrePendulumModels.m b/SoftwareTests/PreFiles/PrePendulumModels.m new file mode 100644 index 0000000..79e9275 --- /dev/null +++ b/SoftwareTests/PreFiles/PrePendulumModels.m @@ -0,0 +1,5 @@ +% Pre-run script for PendulumModels.mlx +% ---- Known Issues ----- +KnownIssuesID = "MATLAB:unassignedOutputs"; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PrePendulumModelsSoln.m b/SoftwareTests/PreFiles/PrePendulumModelsSoln.m new file mode 100644 index 0000000..64fb219 --- /dev/null +++ b/SoftwareTests/PreFiles/PrePendulumModelsSoln.m @@ -0,0 +1,5 @@ +% Pre-run script for PendulumModelsSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreTrackStorms.m b/SoftwareTests/PreFiles/PreTrackStorms.m new file mode 100644 index 0000000..df88a21 --- /dev/null +++ b/SoftwareTests/PreFiles/PreTrackStorms.m @@ -0,0 +1,5 @@ +% Pre-run script for TrackStorms.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/PreFiles/PreTrackStormsSoln.m b/SoftwareTests/PreFiles/PreTrackStormsSoln.m new file mode 100644 index 0000000..a74d96d --- /dev/null +++ b/SoftwareTests/PreFiles/PreTrackStormsSoln.m @@ -0,0 +1,5 @@ +% Pre-run script for TrackStormsSoln.mlx +% ---- Known Issues ----- +KnownIssuesID = ""; +% ---- Pre-run commands ----- + diff --git a/SoftwareTests/RunAllTests.m b/SoftwareTests/RunAllTests.m index e1e556e..7deba68 100644 --- a/SoftwareTests/RunAllTests.m +++ b/SoftwareTests/RunAllTests.m @@ -1,42 +1,42 @@ -function RunAllTest(EnableReport,ReportFolder) +function RunAllTests(ShowReport) arguments - EnableReport (1,1) logical = false; - ReportFolder (1,1) string = "public"; + ShowReport (1,1) logical = false; end import matlab.unittest.plugins.TestReportPlugin; % Create a runner Runner = matlab.unittest.TestRunner.withTextOutput; -if EnableReport - Folder = fullfile(currentProject().RootFolder,ReportFolder); - if ~isfolder(Folder) - mkdir(Folder) - else - rmdir(Folder,'s') - mkdir(Folder) - end - Plugin = TestReportPlugin.producingHTML(Folder,... - "IncludingPassingDiagnostics",true,... - "IncludingCommandWindowText",true,... - "LoggingLevel",matlab.automation.Verbosity(1)); - Runner.addPlugin(Plugin); +Folder = fullfile(currentProject().RootFolder,"public",version("-release")); +if ~isfolder(Folder) + mkdir(Folder) +else + rmdir(Folder,'s') + mkdir(Folder) end +Plugin = TestReportPlugin.producingHTML(Folder,... + "IncludingPassingDiagnostics",true,... + "IncludingCommandWindowText",true,... + "LoggingLevel",matlab.automation.Verbosity(1)); +Runner.addPlugin(Plugin); + % Create the test suite with SmokeTest and Function test if they exist Suite = testsuite("SmokeTests"); Suite = [Suite testsuite("FunctionTests")]; +Suite = [Suite testsuite("SolnSmokeTests")]; % Run the test suite Results = Runner.run(Suite); -if EnableReport +if ShowReport web(fullfile(Folder,"index.html")) end % Format the results in a table and save them ResultsTable = table(Results') -writetable(ResultsTable,fullfile("SoftwareTests","TestResults_R"+version("-release")+".txt")); +writetable(ResultsTable,fullfile(currentProject().RootFolder,... + "public","TestResults_"+version("-release")+".txt")); % Assert success of test assertSuccess(Results); diff --git a/SoftwareTests/SmokeTests.m b/SoftwareTests/SmokeTests.m index 4de1404..ced801e 100644 --- a/SoftwareTests/SmokeTests.m +++ b/SoftwareTests/SmokeTests.m @@ -1,185 +1,151 @@ -classdef SmokeTests < matlab.unittest.TestCase - - properties (ClassSetupParameter) - Project = {''}; - end - - properties (TestParameter) - Scripts; - end - - methods (TestParameterDefinition,Static) - - function Scripts = GetScriptName(Project) - RootFolder = currentProject().RootFolder; - Scripts = dir(fullfile(RootFolder,"Scripts","*.mlx")); - Scripts = {Scripts.name}; - end - - end - - methods (TestClassSetup) - - function SetUpSmokeTest(testCase,Project) - try - currentProject; - catch ME - warning("Project is not loaded.") - end - end - - - end - - - - methods(Test) - - function SmokeRun(testCase,Scripts) - Filename = string(Scripts); - switch (Filename) - case "Hand.mlx" - disp("Check Hand.mlx by hand because of data collection.") - testCase.verifyTrue(true) - case "ImplementExplicitSolver.mlx" - % ErrorSmokeTest(testCase,Filename) - case "PendulumModels.mlx" - % ErrorSmokeTest(testCase,Filename) - case "MeasureLakeArea.mlx" - SmokeTestWithData(testCase,Filename) - otherwise - % SimpleSmokeTest(testCase,Filename) - end - end - - end - - - methods (Access = private) - - function SmokeTestWithData(testCase,Filename) - % Run the Smoke test - RootFolder = currentProject().RootFolder; - cd(RootFolder) - load lakeData.mat lakeX lakeY - [~,idx] = max(diff(lakeX)); - x = lakeX([idx:end 1:idx-1]); - y = lakeY([idx:end 1:idx-1]); - p.Position = [x y]; - drawpolygon = p; %#ok - openfig = @(in)figure; - disp(">> Running " + Filename); - disp("Note: run this file by hand to check on data collection and openfig()") - try - disp("In 'try'...") - run(fullfile("Scripts",Filename)); - disp("Finished 'try'...") - catch ME - disp("In 'catch' now...") - testCase.verifyTrue(false,ME.message); - end - % Log the opened figures to the test reports - Figures = findall(groot,'Type','figure'); - Figures = flipud(Figures); - if ~isempty(Figures) - for f = 1:size(Figures,1) - FigDiag = matlab.unittest.diagnostics.FigureDiagnostic(Figures(f)); - log(testCase,1,FigDiag); - end - end - close all - - end - - - function ErrorSmokeTest(testCase,Filename) - - % Run the Smoke test - RootFolder = currentProject().RootFolder; - cd(RootFolder) - disp(">> Running " + Filename); - try - flag = 0; - run(fullfile("Scripts",Filename)); - catch ME - MEFlag = 1; - switch Filename - case "PendulumModels.mlx" - if string(ME.identifier) == "MATLAB:unassignedOutputs" - flag = flag+1; - switch flag - case 1 - [t2,theta2] = ode45(@(t,theta) model2t(t,theta,L,g),[t0 tEnd],[theta0 omega0]); - case 2 - [t3,theta3] = ode45(@(t,theta) model3t(t,theta,L,g,M,b,c),[t0 tEnd],[theta0 omega0]); - case 3 - [t4,theta4] = ode45(@(t,theta) model4t(t,theta,L,g,M,m,b,c),[t0 tEnd],[theta0 omega0]); - end - else - MEFlag = 0; - end - case "ImplementExplicitSolver.mlx" - if string(ME.message) == "Index in position 1 exceeds array bounds." - disp("Expected error") - else - MEFlag = 0; - end - otherwise - testCase.verifyTrue(false,"Unexpected file in ErrorSmokeTest") - end - - if MEFlag == 0 - testCase.verifyTrue(false,ME.message); - end - end - - % Log the opened figures to the test reports - Figures = findall(groot,'Type','figure'); - Figures = flipud(Figures); - if ~isempty(Figures) - for f = 1:size(Figures,1) - FigDiag = matlab.unittest.diagnostics.FigureDiagnostic(Figures(f)); - log(testCase,1,FigDiag); - end - end - close all - - end - - - function SimpleSmokeTest(testCase,Filename) - - % Run the Smoke test - RootFolder = currentProject().RootFolder; - cd(RootFolder) - disp(">> Running " + Filename); - try - run(fullfile("Scripts",Filename)); - catch ME - testCase.verifyTrue(false,ME.message); - end - - % Log the opened figures to the test reports - Figures = findall(groot,'Type','figure'); - Figures = flipud(Figures); - if ~isempty(Figures) - for f = 1:size(Figures,1) - FigDiag = matlab.unittest.diagnostics.FigureDiagnostic(Figures(f)); - log(testCase,1,FigDiag); - end - end - close all - - end - - end - - methods (TestClassTeardown) - - function closeAllFigure(testCase) - close all force % Close figure windows - end - - end % methods (TestClassTeardown) - -end \ No newline at end of file +classdef SmokeTests < matlab.unittest.TestCase + + properties + RootFolder + sparedEditors % Files already open when the test starts + end % properties + + properties (ClassSetupParameter) + Project = {currentProject()}; + end % ClassSetupParameter + + properties (TestParameter) + File; + end % TestParameter + + methods (TestParameterDefinition,Static) + + function File = RetrieveFile(Project) %#ok + % Retrieve student template files: + RootFolder = currentProject().RootFolder; + File = dir(fullfile(RootFolder,"Scripts","*.mlx")); + File = {File.name}; + end + + end % Static TestParameterDefinition + + methods (TestClassSetup) + + function SetUpSmokeTest(testCase,Project) %#ok + % Navigate to project root folder: + testCase.RootFolder = Project.RootFolder; + cd(testCase.RootFolder) + + % Close the StartUp app if still open: + delete(findall(groot,'Name','StartUp App')) + + % Log MATLAB version: + testCase.log("Running in " + version) + end + + end % TestClassSetup + + methods(TestMethodSetup) + function recordEditorsToSpare(testCase) + testCase.sparedEditors = matlab.desktop.editor.getAll; + testCase.sparedEditors = {testCase.sparedEditors.Filename}; + end + end % TestMethodSetup + + methods(TestMethodTeardown) + function closeOpenedEditors_thenDeleteWorkingDir(testCase) + openEditors = matlab.desktop.editor.getAll; + for editor=openEditors(1:end) + if any(strcmp(editor.Filename, testCase.sparedEditors)) + continue; + end + % if not on our list, close the file + editor.close(); + end + end + end % TestMethodTeardown + + methods(Test) + + function SmokeRun(testCase,File) + + % Navigate to project root folder: + cd(testCase.RootFolder) + FileToRun = string(File); + + % Pre-test: + PreFiles = CheckPreFile(testCase,FileToRun); + run(PreFiles); + + % Run SmokeTest + disp(">> Running " + FileToRun); + try + run(fullfile("Scripts",FileToRun)); + catch ME + + end + + % Post-test: + PostFiles = CheckPostFile(testCase,FileToRun); + run(PostFiles) + + % Log every figure created during run: + Figures = findall(groot,'Type','figure'); + Figures = flipud(Figures); + if ~isempty(Figures) + for f = 1:size(Figures,1) + if ~isempty(Figures(f).Number) + FigDiag = matlab.unittest.diagnostics.FigureDiagnostic(Figures(f),'Formats','png'); + log(testCase,1,FigDiag); + end + end + end + + % Close all figures and Simulink models + close all force + if any(matlab.addons.installedAddons().Name == "Simulink") + bdclose all + end + + % Rethrow error if any + if exist("ME","var") + if ~any(strcmp(ME.identifier,KnownIssuesID)) + rethrow(ME) + end + end + + end + + end % Test Methods + + + methods (Access = private) + + function Path = CheckPreFile(testCase,Filename) + PreFile = "Pre"+replace(Filename,".mlx",".m"); + PreFilePath = fullfile(testCase.RootFolder,"SoftwareTests","PreFiles",PreFile); + if ~isfolder(fullfile(testCase.RootFolder,"SoftwareTests/PreFiles")) + mkdir(fullfile(testCase.RootFolder,"SoftwareTests/PreFiles")) + end + if ~isfile(PreFilePath) + writelines("% Pre-run script for "+Filename,PreFilePath) + writelines("% ---- Known Issues -----",PreFilePath,'WriteMode','append'); + writelines("KnownIssuesID = "+char(34)+char(34)+";",PreFilePath,'WriteMode','append'); + writelines("% ---- Pre-run commands -----",PreFilePath,'WriteMode','append'); + writelines(" ",PreFilePath,'WriteMode','append'); + end + Path = PreFilePath; + end + + function Path = CheckPostFile(testCase,Filename) + PostFile = "Post"+replace(Filename,".mlx",".m"); + PostFilePath = fullfile(testCase.RootFolder,"SoftwareTests","PostFiles",PostFile); + if ~isfolder(fullfile(testCase.RootFolder,"SoftwareTests/PostFiles")) + mkdir(fullfile(testCase.RootFolder,"SoftwareTests/PostFiles")) + end + if ~isfile(PostFilePath) + writelines("% Post-run script for "+Filename,PostFilePath) + writelines("% ---- Post-run commands -----",PostFilePath,'WriteMode','append'); + writelines(" ",PostFilePath,'WriteMode','append'); + end + Path = PostFilePath; + end + + end % Private Methods + +end % Smoketests \ No newline at end of file diff --git a/SoftwareTests/SolnSmokeTests.m b/SoftwareTests/SolnSmokeTests.m new file mode 100644 index 0000000..ec7b5a2 --- /dev/null +++ b/SoftwareTests/SolnSmokeTests.m @@ -0,0 +1,166 @@ +classdef SolnSmokeTests < matlab.unittest.TestCase + + properties + RootFolder + isSolnOnPath + sparedEditors % Track open files + end % properties + + properties (ClassSetupParameter) + Project = {currentProject()}; + end % ClassSetupParameter + + methods(TestMethodSetup) + function recordEditorsToSpare(testCase) + testCase.sparedEditors = matlab.desktop.editor.getAll; + testCase.sparedEditors = {testCase.sparedEditors.Filename}; + end + end % TestMethodSetup + + methods(TestMethodTeardown) + function closeOpenedEditors_thenDeleteWorkingDir(testCase) + openEditors = matlab.desktop.editor.getAll; + for editor=openEditors(1:end) + if any(strcmp(editor.Filename, testCase.sparedEditors)) + continue; + end + % if not on our list, close the file + editor.close(); + end + end + end % TestMethodTeardown + + properties (TestParameter) + File; + end % TestParameter + + methods (TestParameterDefinition,Static) + + function File = GetScriptName(Project) + % Retrieve student template files: + RootFolder = Project.RootFolder; + File = dir(fullfile(RootFolder,"Scripts","*.mlx")); + File = {File.name}; + end + + end % Static TestParameterDefinition + + methods (TestClassSetup) + + function SetUpPath(testCase,Project) + % Navigate to project root folder: + testCase.RootFolder = Project.RootFolder; + cd(testCase.RootFolder) + + % Check that solutions are on path: + testCase.isSolnOnPath = isfolder("Solutions"); + if testCase.isSolnOnPath == 0 + addpath(fullfile(testCase.RootFolder,"InstructorResources","Solutions")) + end + + % Close the StartUp app if still open: + delete(findall(groot,'Name','StartUp App')) + + % Log MATLAB version: + testCase.log("Running in " + version) + + end % function setUpPath + + end % methods (TestClassSetup) + + methods(Test) + + % Check that solutions files exist for each of the student + % templates + function ExistSolns(testCase,File) + SolutionName = replace(string(File),".mlx","Soln.mlx"); + assert(exist(SolutionName,"file"),"Missing solutions for "+File); + end + + + function SmokeRun(testCase,File) + + % Navigate to project root folder: + cd(testCase.RootFolder) + FileToRun = replace(string(File),".mlx","Soln.mlx"); + + % Pre-test: + PreFiles = CheckPreFile(testCase,FileToRun); + run(PreFiles); + + % Run SmokeTest + disp(">> Running " + FileToRun); + try + run(fullfile("InstructorResources","Solutions",FileToRun)); + catch ME + + end + + % Post-test: + PostFiles = CheckPostFile(testCase,FileToRun); + run(PostFiles) + + % Log every figure created during run: + Figures = findall(groot,'Type','figure'); + Figures = flipud(Figures); + if ~isempty(Figures) + for f = 1:size(Figures,1) + if ~isempty(Figures(f).Number) + FigDiag = matlab.unittest.diagnostics.FigureDiagnostic(Figures(f),'Formats','png'); + log(testCase,1,FigDiag); + end + end + end + + % Close all figures and Simulink models + close all force + if any(matlab.addons.installedAddons().Name == "Simulink") + bdclose all + end + + % Rethrow error if any + if exist("ME","var") + if ~any(strcmp(ME.identifier,KnownIssuesID)) + rethrow(ME) + end + end + + end + + end % Test Methods + + methods (Access = private) + + function Path = CheckPreFile(testCase,Filename) + PreFile = "Pre"+replace(Filename,".mlx",".m"); + PreFilePath = fullfile(testCase.RootFolder,"SoftwareTests","PreFiles",PreFile); + if ~isfolder(fullfile(testCase.RootFolder,"SoftwareTests/PreFiles")) + mkdir(fullfile(testCase.RootFolder,"SoftwareTests/PreFiles")) + end + if ~isfile(PreFilePath) + writelines("% Pre-run script for "+Filename,PreFilePath) + writelines("% ---- Known Issues -----",PreFilePath,'WriteMode','append'); + writelines("KnownIssuesID = "+char(34)+char(34)+";",PreFilePath,'WriteMode','append'); + writelines("% ---- Pre-run commands -----",PreFilePath,'WriteMode','append'); + writelines(" ",PreFilePath,'WriteMode','append'); + end + Path = PreFilePath; + end + + function Path = CheckPostFile(testCase,Filename) + PostFile = "Post"+replace(Filename,".mlx",".m"); + PostFilePath = fullfile(testCase.RootFolder,"SoftwareTests","PostFiles",PostFile); + if ~isfolder(fullfile(testCase.RootFolder,"SoftwareTests/PostFiles")) + mkdir(fullfile(testCase.RootFolder,"SoftwareTests/PostFiles")) + end + if ~isfile(PostFilePath) + writelines("% Post-run script for "+Filename,PostFilePath) + writelines("% ---- Post-run commands -----",PostFilePath,'WriteMode','append'); + writelines(" ",PostFilePath,'WriteMode','append'); + end + Path = PostFilePath; + end + + end % Private Access Methods + +end % SolnSmokeTests diff --git a/SoftwareTests/TestResults_R2024a.txt b/SoftwareTests/TestResults_R2024a.txt new file mode 100644 index 0000000..2cf7ade --- /dev/null +++ b/SoftwareTests/TestResults_R2024a.txt @@ -0,0 +1,12 @@ +Name,Passed,Failed,Incomplete,Duration,Details +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=Hand.mlx),1,0,0,0.0081279, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=ImplementExplicitSolver.mlx),1,0,0,3.4182225, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=Interpolation.mlx),1,0,0,27.383437, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=MeasureLakeArea.mlx),1,0,0,38.1402992, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalDerivatives.mlx),1,0,0,5.7204374, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalIntegration.mlx),1,0,0,11.6439181, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalODEs.mlx),1,0,0,9.5377586, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalPDEs.mlx),1,0,0,57.0697041, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=PendulumModels.mlx),1,0,0,3.8335752, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=TrackStorms.mlx),1,0,0,157.3072403, +FunctionTests[Project=0x0_char]/dataExists,1,0,0,0.0229859, diff --git a/SoftwareTests/TestResults_R2024b.txt b/SoftwareTests/TestResults_R2024b.txt new file mode 100644 index 0000000..7c84110 --- /dev/null +++ b/SoftwareTests/TestResults_R2024b.txt @@ -0,0 +1,12 @@ +Name,Passed,Failed,Incomplete,Duration,Details +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=Hand.mlx),1,0,0,1.0933756, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=ImplementExplicitSolver.mlx),1,0,0,0.0002897, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=Interpolation.mlx),1,0,0,0.0004386, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=MeasureLakeArea.mlx),1,0,0,26.1523377, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalDerivatives.mlx),1,0,0,0.0012912, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalIntegration.mlx),1,0,0,1.72e-05, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalODEs.mlx),1,0,0,9.6e-06, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=NumericalPDEs.mlx),1,0,0,7.9e-06, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=PendulumModels.mlx),1,0,0,0.0001478, +SmokeTests[Project=0x0_char]/SmokeRun(Scripts=TrackStorms.mlx),1,0,0,0.3293405, +FunctionTests[Project=0x0_char]/dataExists,1,0,0,0.0193367, diff --git a/SoftwareTests/model2t.m b/SoftwareTests/model2t.m deleted file mode 100644 index 8f0ed0e..0000000 --- a/SoftwareTests/model2t.m +++ /dev/null @@ -1,6 +0,0 @@ -function dydt = model2t(t,y,L,g) -theta = y(1); -omega = y(2); -dydt = [omega; ... - -g/L*sin(theta)]; -end \ No newline at end of file diff --git a/SoftwareTests/model3t.m b/SoftwareTests/model3t.m deleted file mode 100644 index 0bf07e4..0000000 --- a/SoftwareTests/model3t.m +++ /dev/null @@ -1,9 +0,0 @@ -function dydt = model3t(t,y,L,g,M,b,c) -theta = y(1); -omega = y(2); -if omega < 0 - c = -c; -end -dydt = [omega; ... - (-g*M*L*sin(theta)-b*omega-c*omega^2)/(M*L^2)]; -end \ No newline at end of file diff --git a/SoftwareTests/model4t.m b/SoftwareTests/model4t.m deleted file mode 100644 index c04a850..0000000 --- a/SoftwareTests/model4t.m +++ /dev/null @@ -1,10 +0,0 @@ -function dydt = model4t(t,y,L,g,M,m,b,c) -theta = y(1); -omega = y(2); -if omega < 0 - c = -c; -end -rotInertia = m*L^2/3+M*L^2; -dydt = [omega; ... - (-g*(M*L+m*L/2)*sin(theta)-b*omega-c*omega^2)/rotInertia]; -end \ No newline at end of file diff --git a/Utilities/OldVersions/MainMenuOld.mlx b/Utilities/OldVersions/MainMenuOld.mlx deleted file mode 100644 index 0b6a4ed21459c587476d85d4d3c0285472919ec8..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 4352765 zcmY(IV~{4mvZmXfw#~0?+qS!>ZQHhO+qOMz+qP}a&bfCZc27hhqWHAYH*wOTbGNZ>Q685YWI*hB zrKZtSJop1ll-vx79s#RT?%f|RgIpDBvz|of7q^|f5GbMyZHqs<$wOkc=u)+YoRcPY 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zZ_oDiD9!TNN{{6G%e^?SA~KMas?@4H9%tXa(YUf%9?p62&d#T}zo**2@mCzujkqH@(-=()nSnv#RYWjmfRw2Wc=bA@qc2A z1g^z5kkhxGJ8p7#O2_Ux8kIv)_r!8$n zEA5oIS0ft2#W}+{H)}*Y!^o&GZbXE*ImXAX`VcT$?C(K{52a1cI`72)?}mR8{T2Bf U7CS5Bb+_#7VUe5Iw^rr$e}BpOV*mgE literal 0 HcmV?d00001 diff --git a/README.md b/README.md index 408fc34..4823526 100644 --- a/README.md +++ b/README.md @@ -1,14 +1,15 @@ -# Numerical Methods with Applications - - -[![View on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/111490-numerical-methods-with-applications) or [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=README.mlx) - -![MATLAB Versions Tested](https://img.shields.io/endpoint?url=https%3A%2F%2Fraw.githubusercontent.com%2FMathWorks-Teaching-Resources%2FNumerical-Methods-with-Applications%2Frelease%2FImages%2FTestedWith.json) -**Curriculum Module** - -_Created with R2021b. Compatible with R2021b and later releases._ +# Numerical Methods with Applications + +[![View on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/111490-numerical-methods-with-applications) or [![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=README.mlx) + +![MATLAB Versions Tested](https://img.shields.io/endpoint?url=https%3A%2F%2Fraw.githubusercontent.com%2FMathWorks-Teaching-Resources%2FNumerical-Methods-with-Applications%2Frelease%2FImages%2FTestedWith.json) + +**Curriculum Module** + +_Created with R2021b. Compatible with R2021b and later releases._ + # Information This curriculum module contains interactive [MATLAB® live scripts](https://www.mathworks.com/products/matlab/live-editor.html) that teach fundamental concepts and basic terminology related to designing and implementing numerical methods related to interpolation, numerical integration and differentiation, and numerical solutions to ordinary and partial differential equations. @@ -32,7 +33,7 @@ This module assumes familiarity with basic programming concepts such as floating ### Accessing the Module ### **On MATLAB Online:** -Use the [OpenInMO.png](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=README.mlx) link to download the module. You will be prompted to log in or create a MathWorks account. The project will be loaded, and you will see an app with several navigation options to get you started. +Use the [OpenInMO.png](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj) link to download the module. You will be prompted to log in or create a MathWorks account. The project will be loaded, and you will see an app with several navigation options to get you started. ### **On Desktop:** @@ -52,30 +53,30 @@ MATLAB® is used throughout. Tools from the Symbolic Math Toolboxâ„¢ are used fr # Scripts ## [**Interpolation.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Interpolation.mlx) -| hand.png
    | **In this script, students will...**

    - define interpolation and explain how it is different from regression and extrapolation
    - demonstrate multiple solutions to an interpolation problem, even when interpolating by polynomials
    - implement three different interpolation functions
    | **Applications**
    - Drawing a smooth rendition of their hand
    - Tracking the path of a cyclone

    **Scaffolded Template Scripts**
    [linInterp.m](./FunctionLibrary/linInterp.m)
    [pcHInterp.m](./FunctionLibrary/pcHInterp.m)
    [pcSpline.m](./FunctionLibrary/pcSpline.m)
    | +| hand.png
    | **In this script, students will...**

    - define interpolation and explain how it is different from regression and extrapolation

    - demonstrate multiple solutions to an interpolation problem, even when interpolating by polynomials

    - implement three different interpolation functions
    | **Applications**

    - Drawing a smooth rendition of their hand

    - Tracking the path of a cyclone
    **Scaffolded Template Scripts**
    [linInterp.m](./FunctionLibrary/linInterp.m)
    [pcHInterp.m](./FunctionLibrary/pcHInterp.m)
    [pcSpline.m](./FunctionLibrary/pcSpline.m)
    | | :-- | :-- | :-- | ## Supporting Scripts -- [Hand.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/Hand.mlx) -- [TrackStorms.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/TrackStorms.mlx) -## [**NumericalDerivatives.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/NumericalDerivatives.mlx) -| NoisyDerivative.png
    | **In this script, students will...**

    - determine numerical derivative approximations formulas
    - use Taylor's theorem to calculate the order of the error for a numerical approximation to a derivative
    - demonstrate how numerical derivatives can magnify approximation errors
    | **Applications**
    - Numerical solutions to differential equations
    | +- [Hand.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Hand.mlx) +- [TrackStorms.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=TrackStorms.mlx) +## [**NumericalDerivatives.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=NumericalDerivatives.mlx) +| NoisyDerivative.png
    | **In this script, students will...**

    - determine numerical derivative approximations formulas

    - use Taylor's theorem to calculate the order of the error for a numerical approximation to a derivative

    - demonstrate how numerical derivatives can magnify approximation errors
    | **Applications**

    - Numerical solutions to differential equations
    | | :-- | :-- | :-- | -## [**NumericalIntegration.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/NumericalIntegration.mlx) -| BakerLakeSR.png
    | **In this script, students will...**

    - implement Euler's method, Gaussian 2\-point approximations, and Simpson's rule for numerical integration
    - explain why higher\-order approximations may not be appropriate in applications
    | **Applications**
    - Measure the area of a lake

    **Scaffolded Template Scripts**
    [eulerMethod.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/eulerMethod.m)
    [gauss2pt.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/gauss2pt.m)
    [simpsonsRule.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/simpsonsRule.m)
    | +## [**NumericalIntegration.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=NumericalIntegration.mlx) +| BakerLakeSR.png
    | **In this script, students will...**

    - implement Euler's method, Gaussian 2\-point approximations, and Simpson's rule for numerical integration

    - explain why higher\-order approximations may not be appropriate in applications
    | **Applications**

    - Measure the area of a lake
    **Scaffolded Template Scripts**
    [eulerMethod.m](./FunctionLibrary/eulerMethod.m)
    [gauss2pt.m](./FunctionLibrary/gauss2pt.m)
    [simpsonsRule.m](./FunctionLibrary/simpsonsRule.m)
    | | :-- | :-- | :-- | ## Supporting Scripts -- [MeasureLakeArea.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/MeasureLakeArea.mlx) -## [**NumericalODEs.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/NumericalODEs.mlx) -| image_6.png
    | **In this script, students will...**

    - implement Euler's method for first\-order initial value problems
    - calculate the error of their numerical solution
    - implement a trapezoidal method
    - implement a four\-step Runge\-Kutta method
    - compare results with the built\-in MATLAB solver ode45
    | **Applications**
    - Model a pendulum with increasingly realistic assumptions

    **Scaffolded Template Scripts**
    [eulerMethodDE.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/eulerMethodDE.m)
    [rk4.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/rk4.m)
    | +- [MeasureLakeArea.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=MeasureLakeArea.mlx) +## [**NumericalODEs.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=NumericalODEs.mlx) +| image_6.png
    | **In this script, students will...**

    - implement Euler's method for first\-order initial value problems

    - calculate the error of their numerical solution

    - implement a trapezoidal method

    - implement a four\-step Runge\-Kutta method

    - compare results with the built\-in MATLAB solver ode45
    | **Applications**

    - Model a pendulum with increasingly realistic assumptions
    **Scaffolded Template Scripts**
    [eulerMethodDE.m](./FunctionLibrary/eulerMethodDE.m)
    [rk4.m](./FunctionLibrary/rk4.m)
    | | :-- | :-- | :-- | ## Supporting Scripts -- [PendulumModels.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/PendulumModels.mlx) -## [**NumericalPDEs.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=Scripts/NumericalPDEs.mlx) -| heatSoln.gif
    | **In this script, students will...**

    - identify errors from discretizing the problem and from discretizing the method and choose appropriate parameters to minimize overall error
    - explain the importance of stability when choosing a numerical method
    - implement explicit, implicit, and Crank\-Nicolson methods to solve a 1\-D heat equation
    | **Applications**
    - Solve a heat equation

    **Scaffolded Template Scripts**
    [explicitPDE.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/explicitPDE.m)
    [implicitPDE.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/implicitPDE.m)
    [cnPDE.m](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=FunctionLibrary/cnPDE.m)
    | +- [PendulumModels.mlx](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=PendulumModels.mlx) +## [**NumericalPDEs.mlx**](https://matlab.mathworks.com/open/github/v1?repo=MathWorks-Teaching-Resources/Numerical-Methods-with-Applications&project=NumericalMethods.prj&file=NumericalPDEs.mlx) +| heatSoln.gif
    | **In this script, students will...**

    - identify errors from discretizing the problem and from discretizing the method and choose appropriate parameters to minimize overall error

    - explain the importance of stability when choosing a numerical method

    - implement explicit, implicit, and Crank\-Nicolson methods to solve a 1\-D heat equation
    | **Applications**

    - Solve a heat equation
    **Scaffolded Template Scripts**
    [explicitPDE.m](./FunctionLibrary/explicitPDE.m)
    [implicitPDE.m](./FunctionLibrary/implicitPDE.m)
    [cnPDE.m](./FunctionLibrary/cnPDE.m)
    | | :-- | :-- | :-- | # License @@ -101,5 +102,4 @@ Looking for more? Find an issue? Have a suggestion? 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