1 | ;------------------------------------------------------------ |
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2 | ;------------------------------------------------------------ |
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3 | ;------------------------------------------------------------ |
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4 | ;+ |
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5 | ; NAME:inter |
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6 | ; |
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7 | ; PURPOSE:calcule l''intersection de 2 matrices D'ENTIERS POSITIFS |
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8 | ; |
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9 | ; CATEGORY:calcule sur les matrices |
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10 | ; |
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11 | ; CALLING SEQUENCE:res=inter(a,b) |
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12 | ; |
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13 | ; INPUTS:a et b:arrays of positive integers, which need |
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14 | ; not be sorted. Duplicate elements are ignored, as they have no |
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15 | ; effect on the result |
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16 | ; |
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17 | ; KEYWORD PARAMETERS: |
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18 | ; |
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19 | ; OUTPUTS:tableau |
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20 | ; |
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21 | ; COMMON BLOCKS: |
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22 | ; |
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23 | ; SIDE EFFECTS: |
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24 | ; |
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25 | ; The empty set is denoted by an array with the first element equal to |
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26 | ; -1. |
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27 | ; |
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28 | ; RESTRICTIONS: |
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29 | ; |
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30 | ; These functions will not be efficient on sparse sets with wide |
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31 | ; ranges, as they trade memory for efficiency. The HISTOGRAM function |
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32 | ; is used, which creates arrays of size equal to the range of the |
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33 | ; resulting set. |
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34 | ; |
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35 | ; EXAMPLE: |
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36 | ; |
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37 | ; a = [2,4,6,8] |
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38 | ; b = [6,1,3,2] |
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39 | ; inter(a,b) = [ 2, 6] ; Common elements |
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40 | ; |
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41 | ; MODIFICATION HISTORY: |
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42 | ; |
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43 | ; http://www.dfanning.com/tips/set_operations.html |
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44 | ;- |
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45 | ;------------------------------------------------------------ |
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46 | ;------------------------------------------------------------ |
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47 | ;------------------------------------------------------------ |
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48 | |
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49 | FUNCTION inter, a, b |
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50 | ; |
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51 | case 1 of |
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52 | n_elements(a) EQ 0:return, -1 |
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53 | n_elements(b) EQ 0:return, -1 |
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54 | n_elements(a) EQ 1 AND n_elements(b) NE 1: $ |
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55 | if (where(b EQ a[0]))[0] EQ -1 then return, -1 ELSE return, a[0] |
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56 | n_elements(b) EQ 1 AND n_elements(a) NE 1: $ |
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57 | if (where(a EQ b[0]))[0] EQ -1 then return, -1 ELSE return, b[0] |
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58 | n_elements(a) EQ 1 AND n_elements(b) EQ 1: $ |
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59 | if (where(a[0] EQ b[0]))[0] EQ -1 then return, -1 ELSE return, a[0] |
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60 | ELSE: |
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61 | ENDCASE |
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62 | ; |
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63 | minab = Min(a, Max=maxa) > Min(b, Max=maxb) ;Only need intersection of ranges |
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64 | maxab = maxa < maxb |
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65 | |
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66 | ; If either set is empty, or their ranges don't intersect: result = NULL. |
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67 | |
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68 | IF maxab LT minab OR maxab LT 0 THEN RETURN, -1 |
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69 | r = Where(Histogram(a, Min=minab, Max=maxab) $ |
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70 | *Histogram(b, Min=minab, Max=maxab), count) |
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71 | |
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72 | IF count EQ 0 THEN RETURN, -1 ELSE RETURN, r + minab |
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73 | END |
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