add test for matlab driver

.github/workflows/integ_t_matlab.yaml

@@ -0,0 +1,30 @@
+name: MATLAB Driver Test
+
+on: [push]
+
+jobs:
+  test:
+    runs-on: ubuntu-latest
+
+    env:
+      MOR_DIR: /home/runner/work/NekROM/NekROM
+
+    steps:
+    - name: Checkout repository
+      uses: actions/checkout@v2
+
+    - name: Set up MATLAB
+      uses: matlab-actions/setup-matlab@v1
+      with:
+        release: R2023b  # Replace with your MATLAB release
+
+    - name: Install gdown
+      run: pip install gdown
+
+    - name: Install unzip
+      if: runner.os == 'Linux'
+      run: sudo apt-get install -y unzip
+
+    - name: Run MATLAB tests
+      run: |
+        $MOR_DIR/tests/matlab_test/test.sh

tests/matlab_test/test.m

@@ -0,0 +1,72 @@
+%#####################################
+%
+%# Projection Based ROM driver in Matlab for NekROM
+%# v0.0.0
+%
+%# Currently only support Galerkin ROM
+%
+%# Ping-Hsuan Tsai
+%# 2024-07-04
+%
+%#####################################
+
+clear all; close all;
+
+% Parameters users need to specify
+Re = 200; % Reynolds number
+nb  = 20; % number of modes
+dt      = 0.001; % Simultaion time step size
+nsteps  = 20000; % Simulation total time steps
+iostep  = 10; % Every #steps to store ROM quantities
+
+rom = grom('./ops/'); % Create an instance of the grom class and load NekROM operators
+
+rom = rom.get_N_dim_ops(nb); % Extract nb-dimensional operators and vectors
+rom = rom.initialize_vars(Re); % Initialize variables
+
+timestepper = BDFk_EXTk(nsteps, dt, iostep, nb);
+timestepper = timestepper.setup();
+
+ucoef = zeros(rom.nb+1, (timestepper.nsteps/timestepper.iostep));
+% Solving ROM using BDFk/EXTk time stepping scheme
+timestepper.u(:, 1) = rom.u0;
+for istep=1:timestepper.nsteps
+    timestepper.ito=min(istep, 3);
+
+    timestepper = timestepper.setrhs(rom, timestepper.u); % Compute the RHS in BDFk/EXTk scheme
+    [u_new] = timestepper.advance(rom); % Solve for solution at the next time step
+    timestepper.u = timestepper.shift(timestepper.u, u_new, 3);
+
+    rom = timestepper.collect_statistics(rom, u_new); % Compute mean coefficient and mean squared coefficient
+
+    if (mod(istep, timestepper.iostep) == 0)
+        ucoef(:, istep/timestepper.iostep) = timestepper.u(:, 1);
+     end
+
+end
+
+expected_array = [
+    1.000000000000000e+00;
+    6.744372524690426e+00;
+    1.414966897111988e-01;
+    9.927149826323546e-02;
+    1.781345058571626e-01;
+    4.878748658895765e-01;
+    -1.155798970939317e-01;
+    9.103068810481321e-02;
+    4.967081912919089e-03;
+    9.461146705725121e-02;
+    -1.515864220108622e-03;
+    4.201420332769764e-02;
+    7.336015956620934e-03;
+    2.969786491032016e-02;
+    -5.977978596123081e-03;
+    1.320037512282558e-02;
+    -5.615288285845466e-04;
+    1.630039119415496e-02;
+    -2.730687649546992e-03;
+    5.574378056426805e-03;
+    6.480755825354902e-03
+];
+tolerance = 1e-10;
+assert(all(abs(ucoef(:, end) - expected_array) < tolerance), 'Arrays are not equal within the specified tolerance');

tests/matlab_test/test.sh

@@ -0,0 +1,10 @@
+cd $MOR_DIR/tests
+source travis_fn
+mkdir t
+cd t
+gdown https://drive.google.com/uc?id=1-5ryuIACyWtOzSl3y0y0SYKBqIGofrO3;;
+unzip Re200.zip
+cd Re200/T20/
+cp $MOR_DIR/bin/matlab_driver/*.m .
+cp $MOR_DIR/tests/matlab_test/test.m .
+matlab -batch "run('test.m')"