Added a matlab test for earth rotation

matlab/unstable_examples/+imuSimulator/testCoriolis.m

@@ -0,0 +1,99 @@
+clc
+clear all
+close all
+
+import gtsam.*;
+
+deltaT = 0.1;
+timeElapsed = 10;
+times = 0:deltaT:timeElapsed;
+
+%omega = [0;0;7.292115e-5]; % Earth Rotation
+omega = [0;0;5*pi/10];
+velocity = [0;0;0];         % initially not moving
+accelFixed = [0;0.1;0.1];     % accelerate in the positive z-direction
+initialPosition = [0; 1.05; 0];     % start along the positive x-axis
+
+% Initial state
+currentPoseFixedGT = Pose3(Rot3, Point3(initialPosition));
+currentVelocityFixedGT = velocity;
+
+currentPoseRotatingGT = currentPoseFixedGT;
+currentPoseRotatingFrame = Pose3;
+
+% Positions
+positionsFixedGT = zeros(3, length(times)+1);
+positionsRotatingGT = zeros(3, length(times)+1);
+
+positionsFixedGT(:,1) = currentPoseFixedGT.translation.vector;
+positionsRotatingGT(:,1) = currentPoseRotatingGT.translation.vector;
+
+changePoseRotatingFrame = Pose3.Expmap([omega*deltaT; 0; 0; 0]);
+
+poses(1).p = currentPoseRotatingFrame.translation.vector;
+poses(1).R = currentPoseRotatingFrame.rotation.matrix;
+
+h = figure(1);
+
+i = 2;
+for t = times
+    %% Create ground truth trajectory
+    % Update the pose and velocity
+    currentPositionFixedGT = Point3(currentPoseFixedGT.translation.vector ...
+        + currentVelocityFixedGT * deltaT + 0.5 * accelFixed * deltaT * deltaT);
+    currentVelocityFixedGT = currentVelocityFixedGT + accelFixed * deltaT;
+    
+    currentPoseFixedGT = Pose3(Rot3, currentPositionFixedGT);
+    
+    % Rotate pose in fixed frame to get pose in rotating frame
+    currentPoseRotatingFrame = currentPoseRotatingFrame.compose(changePoseRotatingFrame);
+    currentPoseRotatingGT = currentPoseFixedGT.transform_to(currentPoseRotatingFrame);
+    
+    % Store GT (ground truth) poses
+    positionsFixedGT(:,i) = currentPoseFixedGT.translation.vector;
+    positionsRotatingGT(:,i) = currentPoseRotatingGT.translation.vector;
+    poses(i).p = currentPoseRotatingFrame.translation.vector;
+    poses(i).R = currentPoseRotatingFrame.rotation.matrix;
+    
+    % incremental graphing
+    figure(h)
+    plot_trajectory(poses(i),1, '-k', 'Rotating Frame',0.1,0.75,1)
+    hold on;
+    plot3(positionsFixedGT(1,:), positionsFixedGT(2,:), positionsFixedGT(3,:));
+    plot3(positionsRotatingGT(1,:), positionsRotatingGT(2,:), positionsRotatingGT(3,:), '-r');
+    plot3(positionsFixedGT(1,1), positionsFixedGT(2,1), positionsFixedGT(3,1), 'o');
+    plot3(positionsFixedGT(1,end), positionsFixedGT(2,end), positionsFixedGT(3,end), 'x');
+    plot3(positionsRotatingGT(1,1), positionsRotatingGT(2,1), positionsRotatingGT(3,1), 'or');
+    plot3(positionsRotatingGT(1,end), positionsRotatingGT(2,end), positionsRotatingGT(3,end), 'xr');
+    hold off;
+    xlabel('X axis')
+    ylabel('Y axis')
+    zlabel('Z axis')
+    axis equal
+    grid on;
+    pause(0.1);
+    
+    i = i + 1;
+end
+
+
+figure
+sphere
+hold on;
+plot3(positionsFixedGT(1,:), positionsFixedGT(2,:), positionsFixedGT(3,:));
+plot3(positionsRotatingGT(1,:), positionsRotatingGT(2,:), positionsRotatingGT(3,:), '-r');
+
+% beginning and end points of Fixed
+plot3(positionsFixedGT(1,1), positionsFixedGT(2,1), positionsFixedGT(3,1), 'o');
+plot3(positionsFixedGT(1,end), positionsFixedGT(2,end), positionsFixedGT(3,end), 'x');
+
+% beginning and end points of Rotating
+plot3(positionsRotatingGT(1,1), positionsRotatingGT(2,1), positionsRotatingGT(3,1), 'or');
+plot3(positionsRotatingGT(1,end), positionsRotatingGT(2,end), positionsRotatingGT(3,end), 'xr');
+
+xlabel('X axis')
+ylabel('Y axis')
+zlabel('Z axis')
+axis equal
+grid on;
+hold off;