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149 | salvo | 1 | /* |
2 | This program (files math.c and math.h) is free software; you can redistribute it and/or modify |
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242 | salvo | 3 | it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; |
149 | salvo | 4 | either version 3 of the License, or (at your option) any later version. |
5 | This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; |
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6 | without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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242 | salvo | 7 | GNU General Public License and GNU Lesser General Public License for more details. |
258 | salvo | 8 | You should have received a copy of GNU General Public License (License_GPL.txt) and |
242 | salvo | 9 | GNU Lesser General Public License (License_LGPL.txt) along with this program. |
10 | If not, see <http://www.gnu.org/licenses/>. |
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149 | salvo | 11 | |
12 | Please note: All the other files for the project "Mikrokopter" by H.Buss are under the license (license_buss.txt) published by www.mikrokopter.de |
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13 | */ |
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14 | /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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15 | Peter Muehlenbrock |
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16 | Winkelfunktionen sin, cos und arctan in |
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17 | brute-force Art: Sehr Schnell, nicht sonderlich genau, aber ausreichend |
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258 | salvo | 18 | get_dist Funktion fuer Entfernungsermittlung |
291 | salvo | 19 | Stand 12.10.2007 |
149 | salvo | 20 | ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
21 | */ |
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155 | salvo | 22 | #include "main.h" |
149 | salvo | 23 | |
155 | salvo | 24 | |
149 | salvo | 25 | // arctan Funktion: Eingabewert x,y Rueckgabe =arctan(x,y) in grad |
194 | salvo | 26 | int arctan_i( signed int x, signed int y) |
149 | salvo | 27 | { |
155 | salvo | 28 | short int change_xy = 0; |
194 | salvo | 29 | signed int i; |
155 | salvo | 30 | long signed int wert; |
31 | int return_value; |
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149 | salvo | 32 | |
155 | salvo | 33 | if ((abs(x)) > (abs(y))) // x,y Werte vertauschen damit arctan <45 grad bleibt |
149 | salvo | 34 | { |
155 | salvo | 35 | change_xy = 1; |
36 | i = x; |
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37 | x = y; |
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38 | y = i; |
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149 | salvo | 39 | } |
155 | salvo | 40 | |
41 | // Quadranten ermitteln |
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149 | salvo | 42 | |
155 | salvo | 43 | // Wert durch lineare Interpolation ermitteln |
190 | salvo | 44 | if ((y == 0) && (x == 0)) wert =1; // Division durch 0 nicht erlaubt |
266 | salvo | 45 | else wert= abs(((long)x*1000)/((long)y)); |
155 | salvo | 46 | |
47 | if (wert <=268) //0...0.0,268 entsprechend 0..15 Grad |
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48 | { |
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194 | salvo | 49 | return_value = (signed int)((wert*100)/(268-0)*(15-0)/100) +0; |
155 | salvo | 50 | } |
51 | else if (wert <=578) //0,268...0.0,568 entsprechend 15..30 Grad |
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52 | { |
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194 | salvo | 53 | return_value = (signed int)((((wert-268)*100)/(578-268)*(30-15))/100) +15; |
155 | salvo | 54 | } |
55 | else //0,568...1 entsprechend 30..45 Grad |
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56 | { |
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194 | salvo | 57 | return_value = (signed int)((((wert-578)*50)/(1000-578)*(45-30))/50) +30; |
155 | salvo | 58 | } |
59 | |||
161 | salvo | 60 | if (change_xy == 0) return_value = 90-return_value; //Quadrant 45..90 Grad |
61 | if ((x >= 0) && (y <0)) return_value = - return_value; |
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62 | else if ((x < 0) && (y >= 0)) return_value = - return_value; |
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155 | salvo | 63 | |
64 | return return_value; |
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149 | salvo | 65 | } |
66 | |||
67 | |||
68 | // cosinus Funktion: Eingabewert Winkel in Grad, Rueckgabe =cos(winkel)*1000 |
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69 | signed int cos_i(signed int winkel) |
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70 | { |
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71 | winkel = sin_i(90-winkel); |
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72 | return winkel; |
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73 | } |
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74 | |||
75 | |||
183 | salvo | 76 | const unsigned int pgm_sinus[91] PROGMEM = {0,17,35,52,70,87,105,122,139,156,174,191,208,225,242,259,276,292,309,326,342,358,375,391,407,423,438,454,469,485,500,515,530,545,559,574,588,602,616,629,643,656,669,682,695,707,719,731,743,755,766,777,788,799,809,819,829,839,848,857,866,875,883,891,899,906,914,921,927,934,940,946,951,956,961,966,970,974,978,982,985,988,990,993,995,996,998,999,999,1000,1000}; |
77 | //von Nick666, Stand 28.9.2007 |
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149 | salvo | 78 | // sinus Funktion: Eingabewert Winkel in Grad, Rueckgabe =sin(winkel)*1000 |
79 | signed int sin_i(signed int winkel) |
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80 | { |
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190 | salvo | 81 | short int m,n; |
183 | salvo | 82 | |
83 | if (abs(winkel) >=360) winkel = winkel % 360; |
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84 | if (winkel < 0) |
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149 | salvo | 85 | { |
86 | m = -1; |
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183 | salvo | 87 | winkel = abs(winkel); |
149 | salvo | 88 | } |
183 | salvo | 89 | else m = +1; |
190 | salvo | 90 | n =1; |
91 | |||
183 | salvo | 92 | // Quadranten auswerten |
190 | salvo | 93 | if ((winkel > 90 ) && (winkel <= 180)) winkel = 180 - winkel; |
94 | else if ((winkel > 180 ) && (winkel <= 270)) |
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95 | { |
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96 | winkel = winkel -180; |
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97 | n = -1; |
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98 | } |
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99 | else if ((winkel > 270) && (winkel <= 360)) |
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100 | { |
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101 | winkel = 360 - winkel; |
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102 | n = -1; |
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103 | } |
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183 | salvo | 104 | // else //0 - 90 Grad |
149 | salvo | 105 | |
183 | salvo | 106 | winkel = pgm_read_word(&pgm_sinus[winkel]); |
190 | salvo | 107 | return (winkel*m*n); |
149 | salvo | 108 | } |
109 | |||
224 | salvo | 110 | // Aus x,y und Winkel Distanz ermitteln |
266 | salvo | 111 | long get_dist(signed int x, signed int y, signed int phi) |
224 | salvo | 112 | { |
113 | long dist; |
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114 | if (abs(x) > abs(y) ) |
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115 | { |
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116 | dist = (long) x; //Groesseren Wert wegen besserer Genauigkeit nehmen |
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117 | dist = abs((dist *1000) / (long) sin_i(phi)); |
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118 | } |
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119 | else |
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120 | { |
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121 | dist = (long) y; |
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122 | dist = abs((dist *1000) / (long) cos_i(phi)); |
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123 | } |
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266 | salvo | 124 | return dist; |
224 | salvo | 125 | } |
126 |