1 | %% Test code for the quaternion conv function. |
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2 | |
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3 | % Copyright © 2006 Stephen J. Sangwine and Nicolas Le Bihan. |
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4 | % See the file : Copyright.m for further details. |
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5 | |
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6 | T = 1e-10; |
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7 | |
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8 | %% Test the 1D conv function. |
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9 | % The method is to construct real vectors and compare the Matlab conv |
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10 | % function on them with the quaternion conv function operating on |
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11 | % quaternions with zero vector parts. |
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12 | |
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13 | A = randn(1,13); |
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14 | B = randn(1,5); |
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15 | C = randn(13,1); |
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16 | |
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17 | compare(conv(A, B), s(conv(quaternion(A), quaternion(B))), T, ... |
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18 | 'quaternion/conv failed test 1') |
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19 | |
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20 | compare(conv(B, A), s(conv(quaternion(B), quaternion(A))), T, ... |
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21 | 'quaternion/conv failed test 2') |
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22 | |
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23 | compare(conv(B, C), s(conv(quaternion(B), quaternion(C))), T, ... |
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24 | 'quaternion/conv failed test 3') |
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25 | |
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26 | compare(conv(C, B), s(conv(quaternion(C), quaternion(B))), T, ... |
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27 | 'quaternion/conv failed test 4') |
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28 | |
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29 | compare(conv(A, C), s(conv(quaternion(A), quaternion(C))), T, ... |
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30 | 'quaternion/conv failed test 5') |
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31 | |
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32 | % To test that the right coefficients of quaternion/conv works we supply a |
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33 | % vector of ones for the first parameter. |
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34 | |
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35 | compare(conv(A, B), s(conv({quaternion(ones(size(B))), quaternion(B)}, ... |
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36 | quaternion(A))), T, 'quaternion/conv failed test 6') |
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37 | |
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38 | compare(conv(B, A), s(conv({quaternion(ones(size(A))), quaternion(A)}, ... |
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39 | quaternion(B))), T, 'quaternion/conv failed test 7') |
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40 | |
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41 | compare(conv(B, C), s(conv({quaternion(ones(size(C))), quaternion(C)}, ... |
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42 | quaternion(B))), T, 'quaternion/conv failed test 8') |
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43 | |
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44 | clear A B C |
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45 | |
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46 | %% Test the 2D conv function. |
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47 | % The method is to construct real matrices and compare the Matlab conv |
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48 | % function on them with the quaternion conv function operating on |
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49 | % quaternions with zero vector parts. |
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50 | |
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51 | A = randn(4,3); |
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52 | B = randn(6,7); |
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53 | C = randn(3,4); |
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54 | |
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55 | compare(conv2(A, B), s(conv2(quaternion(A), quaternion(B))), T, ... |
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56 | 'quaternion/conv failed test 9') |
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57 | |
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58 | compare(conv2(B, A), s(conv2(quaternion(B), quaternion(A))), T, ... |
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59 | 'quaternion/conv failed test 10') |
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60 | |
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61 | compare(conv2(B, C), s(conv2(quaternion(B), quaternion(C))), T, ... |
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62 | 'quaternion/conv failed test 11') |
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63 | |
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64 | compare(conv2(C, B), s(conv2(quaternion(C), quaternion(B))), T, ... |
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65 | 'quaternion/conv failed test 12') |
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66 | |
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67 | compare(conv2(A, C), s(conv2(quaternion(A), quaternion(C))), T, ... |
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68 | 'quaternion/conv failed test 13') |
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69 | |
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70 | % Test the function with left and right coefficient arrays. |
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71 | |
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72 | compare(conv2(A .* C', B), s(conv2({quaternion(A), quaternion(C')}, ... |
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73 | quaternion(B))), T,... |
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74 | 'quaternion/conv failed test 14') |
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75 | |
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76 | clear A B C T |
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