| 0,0 → 1,111 |
|---|
| /* |
| |
| Copyright 2007, Niklas Nold |
| |
| This program (files math.c and math.h) is free software; you can redistribute it and/or modify |
| it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; |
| either version 3 of the License, or (at your option) any later version. |
| This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; |
| without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License |
| along with this program. If not, see <http://www.gnu.org/licenses/>. |
| |
| 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 |
| */ |
| |
| #include "main.h" |
| |
| |
| const uint8_t pgm_atan[346] PROGMEM = {0,1,2,3,4,4,5,6,7,8,9,10,11,11,12,13,14,15,16,17,17,18,19,20,21,21,22,23,24,24,25,26,27,27,28,29,29,30,31,31,32,33,33,34,35,35,36,36,37,37,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,45,46,46,47,47,48,48,48,49,49,50,50,50,51,51,51,52,52,52,53,53,53,54,54,54,55,55,55,55,56,56,56,57,57,57,57,58,58,58,58,59,59,59,59,60,60,60,60,60,61,61,61,61,62,62,62,62,62,63,63,63,63,63,63,64,64,64,64,64,64,65,65,65,65,65,65,66,66,66,66,66,66,66,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,69,69,69,69,69,69,69,69,69,70,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,74,74,74,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79}; |
| |
| //############################################################################ |
| // Arkustangens2 im Gradmaß |
| signed int atan2_i(signed int x, signed int y) |
| //############################################################################ |
| { |
| int16_t angle; |
| uint16_t i; |
| int8_t m; |
| |
| if (!x && !y) return 0; //atan2 = 0 für x und y = 0 |
| |
| if (y < 0) m=-1; |
| else m=1; |
| |
| if (!x) return (90*m); // atan2 = 90° für x = 0 |
| |
| i = abs(y / x); // Berechne i für die Lookup table (Schrittweite atan(x) ist 0,015625 -> y *64) |
| |
| if (i<346) angle = pgm_read_byte(&pgm_atan[i]); // Lookup für 1° bis 79° |
| else if (i>7334) angle = 90; // Grenzwert ist 90° |
| else if (i>2444) angle = 89; // 89° bis 80° über Wertebereiche |
| else if (i>1465) angle = 88; |
| else if (i>1046) angle = 87; |
| else if (i>813) angle = 86; |
| else if (i>664) angle = 85; |
| else if (i>561) angle = 84; |
| else if (i>486) angle = 83; |
| else if (i>428) angle = 82; |
| else if (i>382) angle = 81; |
| else angle = 80; // (i>345) |
| |
| if (x > 0) return (angle*m); // Quadrant I und IV |
| else if ((x < 0) && (m > 0)) return (-angle + 180); // Quadrant II |
| else return (angle - 180); // x < 0 && y < 0 Quadrant III |
| } |
| |
| |
| const uint16_t pgm_sinus_i[91] PROGMEM = {0,18,36,54,71,89,107,125,143,160,178,195,213,230,248,265,282,299,316,333,350,367,384,400,416,433,449,465,481,496,512,527,543,558,573,587,602,616,630,644,658,672,685,698,711,724,737,749,761,773,784,796,807,818,828,839,849,859,868,878,887,896,904,912,920,928,935,943,949,956,962,968,974,979,984,989,994,998,1002,1005,1008,1011,1014,1016,1018,1020,1022,1023,1023,1024,1024}; |
| |
| //############################################################################ |
| // Kosinusfunktion im Gradmaß |
| signed int cos_i(signed int winkel) |
| //############################################################################ |
| { |
| return (sin_i(90-winkel)); |
| } |
| |
| //############################################################################ |
| // Sinusfunktion im Gradmaß |
| signed int sin_i(signed int winkel) |
| //############################################################################ |
| { |
| short int m,n; |
| signed int sinus; |
| |
| if (winkel < 0) |
| { |
| m = -1; |
| winkel = abs(winkel); |
| } |
| else m = +1; |
| |
| // Quadranten auswerten |
| if (winkel <= 90) n=1; |
| else if ((winkel > 90) && (winkel <= 180)) {winkel = 180 - winkel; n = 1;} |
| else if ((winkel > 180) && (winkel <= 270)) {winkel = winkel - 180; n = -1;} |
| else {winkel = 360 - winkel; n = -1;} //if ((winkel > 270) && (winkel <= 360)) |
| |
| sinus = pgm_read_word(&pgm_sinus_i[winkel]); |
| |
| return (sinus*m*n); |
| } |
| |
| /* |
| const uint8_t pgm_asin[201] PROGMEM = {0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9,10,10,10,11,11,11,12,12,12,12,13,13,13,14,14,14,14,15,15,15,16,16,16,17,17,17,17,18,18,18,19,19,19,20,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,25,25,25,26,26,26,27,27,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,33,34,34,34,35,35,35,36,36,37,37,37,38,38,38,39,39,39,40,40,41,41,41,42,42,42,43,43,44,44,44,45,45,46,46,46,47,47,48,48,49,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,60,61,62,62,63,64,64,65,66,66,67,68,68,69,70,71,72,73,74,75,76,77,79,80,82,84,90}; |
| |
| //############################################################################ |
| // Akurssinusfunktion im Gradmaß |
| int8_t asin_i(signed int i) |
| //############################################################################ |
| { |
| signed char m; |
| |
| if (i < 0) {m=-1;i=abs(i);} |
| else m=1; |
| |
| i %= 200; |
| |
| return (pgm_read_byte(&pgm_asin[i]) * m); |
| } |
| */ |