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/*
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 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 General Public License for more details. You should have received a copy of the GNU 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
*/
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Peter Muehlenbrock
Winkelfunktionen sin, cos und arctan in
brute-force Art: Sehr Schnell, nicht sonderlich genau, aber ausreichend
Sinus Funktion von Nick666 vereinfacht
Stand 1.10.2007
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
*/
#include "main.h"
// arctan Funktion: Eingabewert x,y Rueckgabe =arctan(x,y) in grad
int arctan_i
( signed int x
, signed int y
)
{
short int change_xy
= 0;
signed int i
;
long signed int wert
;
int return_value
;
if ((abs(x
)) > (abs(y
))) // x,y Werte vertauschen damit arctan <45 grad bleibt
{
change_xy
= 1;
i
= x
;
x
= y
;
y
= i
;
}
// Quadranten ermitteln
// Wert durch lineare Interpolation ermitteln
if ((y
== 0) && (x
== 0)) wert
=1; // Division durch 0 nicht erlaubt
else wert
= abs((x
*1000)/y
);
if (wert
<=268) //0...0.0,268 entsprechend 0..15 Grad
{
return_value
= (signed int)((wert
*100)/(268-0)*(15-0)/100) +0;
}
else if (wert
<=578) //0,268...0.0,568 entsprechend 15..30 Grad
{
return_value
= (signed int)((((wert
-268)*100)/(578-268)*(30-15))/100) +15;
}
else //0,568...1 entsprechend 30..45 Grad
{
return_value
= (signed int)((((wert
-578)*50)/(1000-578)*(45-30))/50) +30;
}
if (change_xy
== 0) return_value
= 90-return_value
; //Quadrant 45..90 Grad
if ((x
>= 0) && (y
<0)) return_value
= - return_value
;
else if ((x
< 0) && (y
>= 0)) return_value
= - return_value
;
return return_value
;
}
// cosinus Funktion: Eingabewert Winkel in Grad, Rueckgabe =cos(winkel)*1000
signed int cos_i
(signed int winkel
)
{
winkel
= sin_i
(90-winkel
);
return winkel
;
}
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};
//von Nick666, Stand 28.9.2007
// sinus Funktion: Eingabewert Winkel in Grad, Rueckgabe =sin(winkel)*1000
signed int sin_i
(signed int winkel
)
{
short int m
,n
;
if (abs(winkel
) >=360) winkel
= winkel
% 360;
if (winkel
< 0)
{
m
= -1;
winkel
= abs(winkel
);
}
else m
= +1;
n
=1;
// Quadranten auswerten
if ((winkel
> 90 ) && (winkel
<= 180)) winkel
= 180 - winkel
;
else if ((winkel
> 180 ) && (winkel
<= 270))
{
winkel
= winkel
-180;
n
= -1;
}
else if ((winkel
> 270) && (winkel
<= 360))
{
winkel
= 360 - winkel
;
n
= -1;
}
// else //0 - 90 Grad
winkel
= pgm_read_word
(&pgm_sinus
[winkel
]);
return (winkel
*m
*n
);
}
// Aus x,y und Winkel Distanz ermitteln
long get_dist
(signed int x
, signed int y
, signed int phi
)
{
long dist
;
if (abs(x
) > abs(y
) )
{
dist
= (long) x
; //Groesseren Wert wegen besserer Genauigkeit nehmen
dist
= abs((dist
*1000) / (long) sin_i
(phi
));
}
else
{
dist
= (long) y
;
dist
= abs((dist
*1000) / (long) cos_i
(phi
));
}
return dist
;
}