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1 | //math.c: |
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2 | |
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3 | #include "libroar.h" |
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4 | |
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5 | int roar_math_mkpoly (float * poly, float * data, int len) { |
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6 | if ( len == 2 ) |
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7 | return roar_math_mkpoly_2x2(poly, data); |
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8 | if ( len == 3 ) |
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9 | return roar_math_mkpoly_3x3(poly, data); |
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10 | if ( len == 4 ) |
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11 | return roar_math_mkpoly_4x4(poly, data); |
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12 | if ( len == 5 ) |
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13 | return roar_math_mkpoly_5x5(poly, data); |
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14 | |
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15 | return -1; |
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16 | } |
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17 | |
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18 | int roar_math_mkpoly_2x2 (float * poly, float * data) { |
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19 | /* |
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20 | A B |
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21 | 0 1 x |
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22 | 1 1 y |
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23 | |
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24 | B = x |
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25 | A = y - x |
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26 | */ |
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27 | |
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28 | poly[0] = data[0]; |
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29 | poly[1] = data[1] - data[0]; |
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30 | |
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31 | return 0; |
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32 | } |
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33 | |
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34 | int roar_math_mkpoly_3x3 (float * poly, float * data) { |
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35 | /* |
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36 | A B C |
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37 | 0 0 1 x |
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38 | 1 1 1 y |
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39 | 4 2 1 z |
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40 | */ |
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41 | |
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42 | poly[0] = data[0]; |
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43 | poly[1] = 2*data[1] - 2*data[0] - (data[2]-data[0])/2; |
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44 | poly[2] = (data[2]-data[0])/2 - data[1] + data[0]; |
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45 | |
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46 | |
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47 | return 0; |
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48 | } |
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49 | |
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50 | int roar_math_mkpoly_4x4 (float * poly, float * data) { |
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51 | /* |
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52 | a b c d |
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53 | 0 0 0 1 A X 0 |
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54 | 1 1 1 1 B Y 1 |
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55 | 8 4 2 1 C Z 2 |
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56 | 27 9 3 1 D Q 3 |
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57 | */ |
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58 | |
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59 | |
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60 | // { a = -(3z-3y+x-q)/6, b = (4z-5y+2x-q)/2, c = -(9z-18y+11x-2q)/6, d = x }. |
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61 | |
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62 | poly[0] = data[0]; |
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63 | poly[1] = -(11*data[0] - 18*data[1] + 9*data[2] - 2*data[3])/6; |
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64 | poly[2] = (2 *data[0] - 5*data[1] + 4*data[2] - data[3])/2; |
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65 | poly[3] = -( data[0] - 3*data[1] + 3*data[2] - data[3])/6; |
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66 | |
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67 | return 0; |
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68 | } |
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69 | |
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70 | int roar_math_mkpoly_5x5 (float * poly, float * data) { |
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71 | return -1; |
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72 | } |
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73 | |
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74 | //ll |
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