18,8 → 18,10 |
|
const uint8_t pgm_atan[270] PROGMEM = {0,1,2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,27,28,29,30,31,32,33,33,34,35,36,37,37,38,39,39,40,41,41,42,43,43,44,44,45,46,46,47,47,48,48,49,49,50,50,51,51,52,52,52,53,53,54,54,54,55,55,56,56,56,57,57,57,58,58,58,59,59,59,60,60,60,60,61,61,61,61,62,62,62,62,63,63,63,63,64,64,64,64,65,65,65,65,65,66,66,66,66,66,67,67,67,67,67,67,68,68,68,68,68,68,69,69,69,69,69,69,69,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,74,75,75,75,75,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,77,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79}; |
|
//############################################################################ |
// Arkustangens2 im Gradmaß |
signed int atan2_i(signed int x, signed int y) |
//############################################################################ |
{ |
int i,angle; |
int8_t m; |
26,12 → 28,16 |
|
if (!x && !y) return 0; //atan2 = 0 für x und y = 0 |
|
if (y < 0) m=-1; |
if (y < 0) |
{ |
m=-1; |
y=abs(y); |
} |
else m=1; |
|
if (x==0) return (90*m); // atan2 = 90° für x = 0 |
|
i = abs(((float)y / x) * 50); // Berechne i für die Lookup table (Schrittweite atan(x) ist 0.02 -> *50) |
i = ((long)y*50) / abs(x); // Berechne i für die Lookup table (Schrittweite atan(x) ist 0.02 -> *50) |
|
if (i<270) angle = pgm_read_byte(&pgm_atan[i]); // Lookup für 1° bis 79° |
else if (i>5750) angle = 90; // Grenzwert ist 90° |
47,14 → 53,11 |
else angle = 80; // (i>=270) |
|
if (x > 0) return (angle*m); // Quadrant I und IV |
else if ((x < 0) && (y >= 0)) return ((angle*-1) + 180); // Quadrant II |
else if ((x < 0) && (m > 0)) return ((angle*-1) + 180); // Quadrant II |
else return (angle - 180); // x < 0 && y < 0 Quadrant III |
} |
|
|
|
|
|
const float pgm_sinus_f [91] PROGMEM = {0.000,0.017,0.035,0.052,0.070,0.087,0.105,0.122,0.139,0.156,0.174,0.191,0.208,0.225,0.242,0.259,0.276,0.292,0.309,0.326,0.342,0.358,0.375,0.391,0.407,0.423,0.438,0.454,0.469,0.485,0.500,0.515,0.530,0.545,0.559,0.574,0.588,0.602,0.616,0.629,0.643,0.656,0.669,0.682,0.695,0.707,0.719,0.731,0.743,0.755,0.766,0.777,0.788,0.799,0.809,0.819,0.829,0.839,0.848,0.857,0.866,0.875,0.883,0.891,0.899,0.906,0.914,0.921,0.927,0.934,0.940,0.946,0.951,0.956,0.961,0.966,0.970,0.974,0.978,0.982,0.985,0.988,0.990,0.993,0.995,0.996,0.998,0.999,0.999,1.000,1.000}; |
|
inline float pgm_read_float(const float *addr) |
71,14 → 74,18 |
return u.f; |
} |
|
//############################################################################ |
// Kosinusfunktion im Gradmaß |
float cos_f(signed int winkel) |
//############################################################################ |
{ |
return (sin_f(90-winkel)); |
} |
|
//############################################################################ |
// Sinusfunktion im Gradmaß |
float sin_f(signed int winkel) |
//############################################################################ |
{ |
short int m,n; |
float sinus; |
106,8 → 113,10 |
|
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; |
|