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TestMotorSilhouetteSimple.m
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TestMotorSilhouetteSimple.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Core Model, 2022
% Written by Maya Davis
% Concept by Maya Davis and Melissa A. Redford
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% METHODS TESTED
%
% MotorSilhouette
% DropoffScalar
% DropoffScalarConcave
% ExpandSilhouette
% TemporalActivationInfo
% PlottingInfo3D
% PlottingInfo
% Plot
%% TESTS
function tests = TestMotorSilhouetteSimple
tests = functiontests(localfunctions);
end
function TestCreateObjectSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 4; 2 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette([Region1; Region2; Region3]);
actRegion1Vertices = Silhouette1.Regions(1).MotorVertexList;
actRegion2Vertices = Silhouette1.Regions(2).MotorVertexList;
actRegion3Vertices = Silhouette1.Regions(3).MotorVertexList;
expRegion1Vertices = [0 0; 0 3; 4 3; 4 0];
expRegion2Vertices = [0 0; 0 5; 5 5];
expRegion3Vertices = [5 0; 12 0; 6 12];
verifyEqual(testCase, actRegion1Vertices, expRegion1Vertices);
verifyEqual(testCase, actRegion2Vertices, expRegion2Vertices);
verifyEqual(testCase, actRegion3Vertices, expRegion3Vertices);
end
function TestDropoffScalarSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 4; 2 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette({Region1; Region2; Region3});
LookAheadA = 0;
LookAheadB = 1;
LookAheadC = 3;
LookBack_a = 0;
LookBack_b = 3;
LookBack_c = 7;
TimeDistance0 = 0;
TimeDistance1 = -1;
TimeDistance2 = 2;
TimeDistance3 = -3;
%% Actual values
actScalarAa0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadA, LookBack_a);
actScalarAa1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadA, LookBack_a);
actScalarAa2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadA, LookBack_a);
actScalarAa3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadA, LookBack_a);
actScalarAb0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadA, LookBack_b);
actScalarAb1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadA, LookBack_b);
actScalarAb2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadA, LookBack_b);
actScalarAb3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadA, LookBack_b);
actScalarAc0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadA, LookBack_c);
actScalarAc1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadA, LookBack_c);
actScalarAc2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadA, LookBack_c);
actScalarAc3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadA, LookBack_c);
actScalarBa0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadB, LookBack_a);
actScalarBa1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadB, LookBack_a);
actScalarBa2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadB, LookBack_a);
actScalarBa3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadB, LookBack_a);
actScalarBb0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadB, LookBack_b);
actScalarBb1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadB, LookBack_b);
actScalarBb2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadB, LookBack_b);
actScalarBb3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadB, LookBack_b);
actScalarBc0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadB, LookBack_c);
actScalarBc1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadB, LookBack_c);
actScalarBc2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadB, LookBack_c);
actScalarBc3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadB, LookBack_c);
actScalarCa0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadC, LookBack_a);
actScalarCa1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadC, LookBack_a);
actScalarCa2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadC, LookBack_a);
actScalarCa3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadC, LookBack_a);
actScalarCb0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadC, LookBack_b);
actScalarCb1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadC, LookBack_b);
actScalarCb2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadC, LookBack_b);
actScalarCb3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadC, LookBack_b);
actScalarCc0 = Silhouette1.DropoffScalar(TimeDistance0, LookAheadC, LookBack_c);
actScalarCc1 = Silhouette1.DropoffScalar(TimeDistance1, LookAheadC, LookBack_c);
actScalarCc2 = Silhouette1.DropoffScalar(TimeDistance2, LookAheadC, LookBack_c);
actScalarCc3 = Silhouette1.DropoffScalar(TimeDistance3, LookAheadC, LookBack_c);
%% Expected values
expScalarAa0 = 1;
expScalarAa1 = 0;
expScalarAa2 = 0;
expScalarAa3 = 0;
expScalarAb0 = 1;
expScalarAb1 = 0.5625;
expScalarAb2 = 0;
expScalarAb3 = 0.0625;
expScalarAc0 = 1;
expScalarAc1 = 0.765625;
expScalarAc2 = 0;
expScalarAc3 = 0.390625;
expScalarBa0 = 1;
expScalarBa1 = 0;
expScalarBa2 = 0;
expScalarBa3 = 0;
expScalarBb0 = 1;
expScalarBb1 = 0.5625;
expScalarBb2 = 0;
expScalarBb3 = 0.0625;
expScalarBc0 = 1;
expScalarBc1 = 0.765625;
expScalarBc2 = 0;
expScalarBc3 = 0.390625;
expScalarCa0 = 1;
expScalarCa1 = 0;
expScalarCa2 = 0.25;
expScalarCa3 = 0;
expScalarCb0 = 1;
expScalarCb1 = 0.5625;
expScalarCb2 = 0.25;
expScalarCb3 = 0.0625;
expScalarCc0 = 1;
expScalarCc1 = 0.765625;
expScalarCc2 = 0.25;
expScalarCc3 = 0.390625;
%% Testing
verifyEqual(testCase, actScalarAa0, expScalarAa0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa1, expScalarAa1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa2, expScalarAa2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa3, expScalarAa3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb0, expScalarAb0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb1, expScalarAb1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb2, expScalarAb2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb3, expScalarAb3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc0, expScalarAc0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc1, expScalarAc1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc2, expScalarAc2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc3, expScalarAc3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa0, expScalarBa0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa1, expScalarBa1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa2, expScalarBa2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa3, expScalarBa3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb0, expScalarBb0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb1, expScalarBb1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb2, expScalarBb2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb3, expScalarBb3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc0, expScalarBc0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc1, expScalarBc1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc2, expScalarBc2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc3, expScalarBc3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa0, expScalarCa0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa1, expScalarCa1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa2, expScalarCa2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa3, expScalarCa3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb0, expScalarCb0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb1, expScalarCb1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb2, expScalarCb2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb3, expScalarCb3, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc0, expScalarCc0, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc1, expScalarCc1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc2, expScalarCc2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc3, expScalarCc3, "AbsTol", 0.00000001);
end
function TestDropoffScalarConcaveSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 4; 2 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette({Region1; Region2; Region3});
LookAheadA = 0;
LookAheadB = 1;
LookAheadC = 3;
LookBack_a = 0;
LookBack_b = 3;
LookBack_c = 7;
TimeDistance0 = 0;
TimeDistance1 = -1;
TimeDistance2 = 2;
TimeDistance3 = -3;
%% Actual values
actScalarAa0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_a, 1);
actScalarAa1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_a, 1);
actScalarAa2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_a, 1);
actScalarAa3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_a, 1);
actScalarAb0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_b, 1);
actScalarAb1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_b, 1);
actScalarAb2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_b, 1);
actScalarAb3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_b, 1);
actScalarAc0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_c, 1);
actScalarAc1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_c, 1);
actScalarAc2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_c, 1);
actScalarAc3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_c, 1);
actScalarBa0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_a, 1);
actScalarBa1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_a, 1);
actScalarBa2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_a, 1);
actScalarBa3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_a, 1);
actScalarBb0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_b, 1);
actScalarBb1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_b, 1);
actScalarBb2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_b, 1);
actScalarBb3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_b, 1);
actScalarBc0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_c, 1);
actScalarBc1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_c, 1);
actScalarBc2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_c, 1);
actScalarBc3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_c, 1);
actScalarCa0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_a, 1);
actScalarCa1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_a, 1);
actScalarCa2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_a, 1);
actScalarCa3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_a, 1);
actScalarCb0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_b, 1);
actScalarCb1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_b, 1);
actScalarCb2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_b, 1);
actScalarCb3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_b, 1);
actScalarCc0_1 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_c, 1);
actScalarCc1_1 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_c, 1);
actScalarCc2_1 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_c, 1);
actScalarCc3_1 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_c, 1);
actScalarAa0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_a, 2);
actScalarAa1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_a, 2);
actScalarAa2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_a, 2);
actScalarAa3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_a, 2);
actScalarAb0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_b, 2);
actScalarAb1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_b, 2);
actScalarAb2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_b, 2);
actScalarAb3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_b, 2);
actScalarAc0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadA, LookBack_c, 2);
actScalarAc1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadA, LookBack_c, 2);
actScalarAc2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadA, LookBack_c, 2);
actScalarAc3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadA, LookBack_c, 2);
actScalarBa0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_a, 2);
actScalarBa1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_a, 2);
actScalarBa2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_a, 2);
actScalarBa3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_a, 2);
actScalarBb0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_b, 2);
actScalarBb1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_b, 2);
actScalarBb2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_b, 2);
actScalarBb3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_b, 2);
actScalarBc0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadB, LookBack_c, 2);
actScalarBc1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadB, LookBack_c, 2);
actScalarBc2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadB, LookBack_c, 2);
actScalarBc3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadB, LookBack_c, 2);
actScalarCa0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_a, 2);
actScalarCa1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_a, 2);
actScalarCa2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_a, 2);
actScalarCa3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_a, 2);
actScalarCb0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_b, 2);
actScalarCb1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_b, 2);
actScalarCb2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_b, 2);
actScalarCb3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_b, 2);
actScalarCc0_2 = Silhouette1.DropoffScalarConcave(TimeDistance0, LookAheadC, LookBack_c, 2);
actScalarCc1_2 = Silhouette1.DropoffScalarConcave(TimeDistance1, LookAheadC, LookBack_c, 2);
actScalarCc2_2 = Silhouette1.DropoffScalarConcave(TimeDistance2, LookAheadC, LookBack_c, 2);
actScalarCc3_2 = Silhouette1.DropoffScalarConcave(TimeDistance3, LookAheadC, LookBack_c, 2);
%% Expected values
expScalarAa0_1 = 1;
expScalarAa1_1 = 0;
expScalarAa2_1 = 0;
expScalarAa3_1 = 0;
expScalarAb0_1 = 1;
expScalarAb1_1 = 0.75;
expScalarAb2_1 = 0;
expScalarAb3_1 = 0.25;
expScalarAc0_1 = 1;
expScalarAc1_1 = 0.875;
expScalarAc2_1 = 0;
expScalarAc3_1 = 0.625;
expScalarBa0_1 = 1;
expScalarBa1_1 = 0;
expScalarBa2_1 = 0;
expScalarBa3_1 = 0;
expScalarBb0_1 = 1;
expScalarBb1_1 = 0.75;
expScalarBb2_1 = 0;
expScalarBb3_1 = 0.25;
expScalarBc0_1 = 1;
expScalarBc1_1 = 0.875;
expScalarBc2_1 = 0;
expScalarBc3_1 = 0.625;
expScalarCa0_1 = 1;
expScalarCa1_1 = 0;
expScalarCa2_1 = 0.5;
expScalarCa3_1 = 0;
expScalarCb0_1 = 1;
expScalarCb1_1 = 0.75;
expScalarCb2_1 = 0.5;
expScalarCb3_1 = 0.25;
expScalarCc0_1 = 1;
expScalarCc1_1 = 0.875;
expScalarCc2_1 = 0.5;
expScalarCc3_1 = 0.625;
expScalarAa0_2 = 1;
expScalarAa1_2 = 0;
expScalarAa2_2 = 0;
expScalarAa3_2 = 0;
expScalarAb0_2 = 1;
expScalarAb1_2 = 0.5625;
expScalarAb2_2 = 0;
expScalarAb3_2 = 0.0625;
expScalarAc0_2 = 1;
expScalarAc1_2 = 0.765625;
expScalarAc2_2 = 0;
expScalarAc3_2 = 0.390625;
expScalarBa0_2 = 1;
expScalarBa1_2 = 0;
expScalarBa2_2 = 0;
expScalarBa3_2 = 0;
expScalarBb0_2 = 1;
expScalarBb1_2 = 0.5625;
expScalarBb2_2 = 0;
expScalarBb3_2 = 0.0625;
expScalarBc0_2 = 1;
expScalarBc1_2 = 0.765625;
expScalarBc2_2 = 0;
expScalarBc3_2 = 0.390625;
expScalarCa0_2 = 1;
expScalarCa1_2 = 0;
expScalarCa2_2 = 0.25;
expScalarCa3_2 = 0;
expScalarCb0_2 = 1;
expScalarCb1_2 = 0.5625;
expScalarCb2_2 = 0.25;
expScalarCb3_2 = 0.0625;
expScalarCc0_2 = 1;
expScalarCc1_2 = 0.765625;
expScalarCc2_2 = 0.25;
expScalarCc3_2 = 0.390625;
%% Testing
verifyEqual(testCase, actScalarAa0_1, expScalarAa0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa1_1, expScalarAa1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa2_1, expScalarAa2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa3_1, expScalarAa3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb0_1, expScalarAb0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb1_1, expScalarAb1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb2_1, expScalarAb2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb3_1, expScalarAb3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc0_1, expScalarAc0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc1_1, expScalarAc1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc2_1, expScalarAc2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc3_1, expScalarAc3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa0_1, expScalarBa0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa1_1, expScalarBa1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa2_1, expScalarBa2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa3_1, expScalarBa3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb0_1, expScalarBb0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb1_1, expScalarBb1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb2_1, expScalarBb2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb3_1, expScalarBb3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc0_1, expScalarBc0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc1_1, expScalarBc1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc2_1, expScalarBc2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc3_1, expScalarBc3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa0_1, expScalarCa0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa1_1, expScalarCa1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa2_1, expScalarCa2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa3_1, expScalarCa3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb0_1, expScalarCb0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb1_1, expScalarCb1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb2_1, expScalarCb2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb3_1, expScalarCb3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc0_1, expScalarCc0_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc1_1, expScalarCc1_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc2_1, expScalarCc2_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc3_1, expScalarCc3_1, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa0_2, expScalarAa0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa1_2, expScalarAa1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa2_2, expScalarAa2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAa3_2, expScalarAa3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb0_2, expScalarAb0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb1_2, expScalarAb1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb2_2, expScalarAb2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAb3_2, expScalarAb3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc0_2, expScalarAc0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc1_2, expScalarAc1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc2_2, expScalarAc2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarAc3_2, expScalarAc3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa0_2, expScalarBa0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa1_2, expScalarBa1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa2_2, expScalarBa2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBa3_2, expScalarBa3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb0_2, expScalarBb0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb1_2, expScalarBb1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb2_2, expScalarBb2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBb3_2, expScalarBb3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc0_2, expScalarBc0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc1_2, expScalarBc1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc2_2, expScalarBc2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarBc3_2, expScalarBc3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa0_2, expScalarCa0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa1_2, expScalarCa1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa2_2, expScalarCa2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCa3_2, expScalarCa3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb0_2, expScalarCb0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb1_2, expScalarCb1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb2_2, expScalarCb2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCb3_2, expScalarCb3_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc0_2, expScalarCc0_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc1_2, expScalarCc1_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc2_2, expScalarCc2_2, "AbsTol", 0.00000001);
verifyEqual(testCase, actScalarCc3_2, expScalarCc3_2, "AbsTol", 0.00000001);
end
function TestExpandSilhouetteSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 3; 1 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette([Region1; Region2; Region3]);
MotorTrajectoryA = MotorTrajectory([5 1 12; 5 2 12]);
MotorTrajectoryB = MotorTrajectory([1 8 5; 2 2 0]);
%% Actual values
actExpandedA = Silhouette1.ExpandSilhouette(MotorTrajectoryA);
actExpandedB = Silhouette1.ExpandSilhouette(MotorTrajectoryB);
actMotorVertexListA1 = actExpandedA.Regions(1).MotorVertexList;
actSimplexMatrixA1 = actExpandedA.Regions(1).SimplexMatrix;
actWeightsA1 = actExpandedA.Regions(1).Weights;
actMotorVertexListA2 = actExpandedA.Regions(2).MotorVertexList;
actSimplexMatrixA2 = actExpandedA.Regions(2).SimplexMatrix;
actWeightsA2 = actExpandedA.Regions(2).Weights;
actMotorVertexListA3 = actExpandedA.Regions(3).MotorVertexList;
actSimplexMatrixA3 = actExpandedA.Regions(3).SimplexMatrix;
actWeightsA3 = actExpandedA.Regions(3).Weights;
actMotorVertexListB1 = actExpandedB.Regions(1).MotorVertexList;
actSimplexMatrixB1 = actExpandedB.Regions(1).SimplexMatrix;
actWeightsB1 = actExpandedB.Regions(1).Weights;
actMotorVertexListB2 = actExpandedB.Regions(2).MotorVertexList;
actSimplexMatrixB2 = actExpandedB.Regions(2).SimplexMatrix;
actWeightsB2 = actExpandedB.Regions(2).Weights;
actMotorVertexListB3 = actExpandedB.Regions(3).MotorVertexList;
actSimplexMatrixB3 = actExpandedB.Regions(3).SimplexMatrix;
actWeightsB3 = actExpandedB.Regions(3).Weights;
%% Expected values
expMotorVertexListA1 = [0 0; 0 3; 4 3; 4 0; 5 5];
expSimplexMatrixA1 = [1 2 3; 1 3 4; 2 3 5; 3 4 5];
expWeightsA1 = [2 6 1 1];
expMotorVertexListA2 = [0 0; 0 5; 5 5];
expSimplexMatrixA2 = [1 2 3];
expWeightsA2 = 2;
expMotorVertexListA3 = [5 0; 12 0; 6 12; 12 12];
expSimplexMatrixA3 = [1 2 3; 2 3 4];
expWeightsA3 = [5 1];
expMotorVertexListB1 = [0 0; 0 3; 4 3; 4 0];
expSimplexMatrixB1 = [1 2 3; 1 3 4];
expWeightsB1 = [3 6];
expMotorVertexListB2 = [0 0; 0 5; 5 5; 8 2];
expSimplexMatrixB2 = [1 2 3; 1 3 4];
expWeightsB2 = [1 1];
expMotorVertexListB3 = [5 0; 12 0; 6 12];
expSimplexMatrixB3 = [1 2 3];
expWeightsB3 = 6;
%% Testing
verifyEqual(testCase, actMotorVertexListA1, expMotorVertexListA1);
verifyEqual(testCase, actSimplexMatrixA1, expSimplexMatrixA1);
verifyEqual(testCase, actWeightsA1, expWeightsA1);
verifyEqual(testCase, actMotorVertexListA2, expMotorVertexListA2);
verifyEqual(testCase, actSimplexMatrixA2, expSimplexMatrixA2);
verifyEqual(testCase, actWeightsA2, expWeightsA2);
verifyEqual(testCase, actMotorVertexListA3, expMotorVertexListA3);
verifyEqual(testCase, actSimplexMatrixA3, expSimplexMatrixA3);
verifyEqual(testCase, actWeightsA3, expWeightsA3);
verifyEqual(testCase, actMotorVertexListB1, expMotorVertexListB1);
verifyEqual(testCase, actSimplexMatrixB1, expSimplexMatrixB1);
verifyEqual(testCase, actWeightsB1, expWeightsB1);
verifyEqual(testCase, actMotorVertexListB2, expMotorVertexListB2);
verifyEqual(testCase, actSimplexMatrixB2, expSimplexMatrixB2);
verifyEqual(testCase, actWeightsB2, expWeightsB2);
verifyEqual(testCase, actMotorVertexListB3, expMotorVertexListB3);
verifyEqual(testCase, actSimplexMatrixB3, expSimplexMatrixB3);
verifyEqual(testCase, actWeightsB3, expWeightsB3);
end
function TestTemporalActivationInfoSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 4; 2 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette([Region1; Region2; Region3]);
actTemporalVector11 = Silhouette1.TemporalActivationInfo(0, 0);
actTemporalVector12 = Silhouette1.TemporalActivationInfo(0, 1);
actTemporalVector14 = Silhouette1.TemporalActivationInfo(0, 3);
actTemporalVector21 = Silhouette1.TemporalActivationInfo(1, 0);
actTemporalVector22 = Silhouette1.TemporalActivationInfo(1, 1);
actTemporalVector24 = Silhouette1.TemporalActivationInfo(1, 3);
actTemporalVector41 = Silhouette1.TemporalActivationInfo(3, 0);
actTemporalVector42 = Silhouette1.TemporalActivationInfo(3, 1);
actTemporalVector44 = Silhouette1.TemporalActivationInfo(3, 3);
expTemporalVector11 = [1 0 0; 0 1 0; 0 0 1];
expTemporalVector12 = [1 0.25 0; 0 1 0.25; 0 0 1];
expTemporalVector14 = [1 0.5625 0.25; 0 1 0.5625; 0 0 1];
expTemporalVector21 = [1 0 0; 0.25 1 0; 0 0.25 1];
expTemporalVector22 = [1 0.25 0; 0.25 1 0.25; 0 0.25 1];
expTemporalVector24 = [1 0.5625 0.25; 0.25 1 0.5625; 0 0.25 1];
expTemporalVector41 = [1 0 0; 0.5625 1 0; 0.25 0.5625 1];
expTemporalVector42 = [1 0.25 0; 0.5625 1 0.25; 0.25 0.5625 1];
expTemporalVector44 = [1 0.5625 0.25; 0.5625 1 0.5625; 0.25 0.5625 1];
verifyEqual(testCase, actTemporalVector11, expTemporalVector11);
verifyEqual(testCase, actTemporalVector12, expTemporalVector12);
verifyEqual(testCase, actTemporalVector14, expTemporalVector14);
verifyEqual(testCase, actTemporalVector21, expTemporalVector21);
verifyEqual(testCase, actTemporalVector22, expTemporalVector22);
verifyEqual(testCase, actTemporalVector24, expTemporalVector24);
verifyEqual(testCase, actTemporalVector41, expTemporalVector41);
verifyEqual(testCase, actTemporalVector42, expTemporalVector42);
verifyEqual(testCase, actTemporalVector44, expTemporalVector44);
end
function TestPlottingInfo3DSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 1 0; 1 0 1; -1 0 1; 0 1 1; 0 1 2];
SimplexMatrix1 = [1 2 3 4; 2 3 4 5];
Weights1 = [2 6];
MotorVertexList2 = [0 1 10; 1 0 11; -1 0 11; 0 1 11; 0 1 12];
SimplexMatrix2 = [1 2 3 4; 2 3 4 5];
Weights2 = [1 1];
MotorVertexList3 = [0 1 20; 1 0 21; -1 0 21; 0 1 21; 0 1 22];
SimplexMatrix3 = [1 2 3 4; 2 3 4 5];
Weights3 = [1 2];
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette([Region1; Region2; Region3]);
[actVertexData, actFaceData, actAlphaData] = Silhouette1.PlottingInfo3D(0.5, 1);
expVertexData = [0 1 0; 1 0 1; -1 0 1; 0 1 1; 0 1 2; ...
0 1 10; 1 0 11; -1 0 11; 0 1 11; 0 1 12; ...
0 1 20; 1 0 21; -1 0 21; 0 1 21; 0 1 22];
expFaceData = [1 2 3 4 nan; 2 3 4 5 nan; 6 7 8 9 nan; ...
7 8 9 10 nan; 11 12 13 14 nan; 12 13 14 15 nan];
expAlphaData = [0.5; 1; 1; 1; 0.5; 1];
verifyEqual(testCase, actVertexData, expVertexData);
verifyEqual(testCase, actFaceData, expFaceData);
verifyEqual(testCase, actAlphaData, expAlphaData);
end
function TestPlottingInfoSimple(testCase)
%% Creating silhouette
MotorVertexList1 = [0 0; 0 3; 4 3; 4 0];
SimplexMatrix1 = [1 2 4; 2 3 4];
Weights1 = [2 6];
MotorVertexList2 = [0 0; 0 5; 5 5];
SimplexMatrix2 = [1 2 3];
Weights2 = 1;
MotorVertexList3 = [5 0; 12 0; 6 12];
SimplexMatrix3 = [1 2 3];
Weights3 = 5;
Region1 = WeightedMotorSimplicialComplex(MotorVertexList1, SimplexMatrix1, Weights1);
Region2 = WeightedMotorSimplicialComplex(MotorVertexList2, SimplexMatrix2, Weights2);
Region3 = WeightedMotorSimplicialComplex(MotorVertexList3, SimplexMatrix3, Weights3);
Silhouette1 = MotorSilhouette([Region1; Region2; Region3]);
[actVertexData, actFaceData, actAlphaData] = Silhouette1.PlottingInfo(0, 1);
expVertexData = [0 0; 0 3; 4 3; 4 0; 0 0; 0 5; 5 5; 5 0; 12 0; 6 12];
expFaceData = [1 2 4 nan; 2 3 4 nan; 5 6 7 nan; 8 9 10 nan];
expAlphaData = [0; 1; 1; 1];
verifyEqual(testCase, actVertexData, expVertexData);
verifyEqual(testCase, actFaceData, expFaceData);
verifyEqual(testCase, actAlphaData, expAlphaData);
end
%% SET UP & TAKE DOWN
function setupOnce(testCase)
% Create and change to temporary folder
testCase.TestData.origPath = pwd;
testCase.TestData.tmpFolder = "tmpFolder" + ...
string(datetime('now','Format',"yyyyMMdd'T'HHmmss"));
mkdir(testCase.TestData.tmpFolder)
cd(testCase.TestData.tmpFolder)
end
function teardownOnce(testCase)
cd(testCase.TestData.origPath)
rmdir(testCase.TestData.tmpFolder)
end