Files
edgetx-gx12/radio/src/maths.cpp
T

222 lines
6.4 KiB
C++

/*
* Authors (alphabetical order)
* - Andre Bernet <bernet.andre@gmail.com>
* - Andreas Weitl
* - Bertrand Songis <bsongis@gmail.com>
* - Bryan J. Rentoul (Gruvin) <gruvin@gmail.com>
* - Cameron Weeks <th9xer@gmail.com>
* - Erez Raviv
* - Gabriel Birkus
* - Jean-Pierre Parisy
* - Karl Szmutny
* - Michael Blandford
* - Michal Hlavinka
* - Pat Mackenzie
* - Philip Moss
* - Rob Thomson
* - Romolo Manfredini <romolo.manfredini@gmail.com>
* - Thomas Husterer
*
* opentx is based on code named
* gruvin9x by Bryan J. Rentoul: http://code.google.com/p/gruvin9x/,
* er9x by Erez Raviv: http://code.google.com/p/er9x/,
* and the original (and ongoing) project by
* Thomas Husterer, th9x: http://code.google.com/p/th9x/
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2 as
* published by the Free Software Foundation.
*
* 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.
*
*/
#include "opentx.h"
#if !defined(CPUARM)
// #define CORRECT_NEGATIVE_SHIFTS
// open.20.fsguruh; shift right operations do the rounding different for negative values compared to positive values
// so all negative divisions round always further down, which give absolute values bigger compared to a usual division
// this is noticable on the display, because instead of -100.0 -99.9 is shown; While in praxis I doublt somebody will notice a
// difference this is more a mental thing. Maybe people are distracted, because the easy calculations are obviously wrong
// this define would correct this, but costs 34 bytes code for stock version
// currently we set this to active always, because it might cause a fault about 1% compared positive and negative values
// is done now in makefile
int16_t calc100to256_16Bits(int16_t x) // return x*2.56
{
// y = 2*x + x/2 +x/16-x/512-x/2048
// 512 and 2048 are out of scope from int8 input --> forget it
#ifdef CORRECT_NEGATIVE_SHIFTS
int16_t res=(int16_t)x<<1;
//int8_t sign=(uint8_t) x>>7;
int8_t sign=(x<0?1:0);
x-=sign;
res+=(x>>1);
res+=sign;
res+=(x>>4);
res+=sign;
return res;
#else
return ((int16_t)x<<1)+(x>>1)+(x>>4);
#endif
}
int16_t calc100to256(int8_t x) // return x*2.56
{
return calc100to256_16Bits(x);
}
int16_t calc100toRESX_16Bits(int16_t x) // return x*10.24
{
#ifdef CORRECT_NEGATIVE_SHIFTS
int16_t res= ((int16_t)x*41)>>2;
int8_t sign=(x<0?1:0);
//int8_t sign=(uint8_t) x>>7;
x-=sign;
res-=(x>>6);
res-=sign;
return res;
#else
// return (int16_t)x*10 + x/4 - x/64;
return ((x*41)>>2) - (x>>6);
#endif
}
int16_t calc100toRESX(int8_t x) // return x*10.24
{
return calc100toRESX_16Bits(x);
}
// return x*1.024
int16_t calc1000toRESX(int16_t x) // improve calc time by Pat MacKenzie
{
// return x + x/32 - x/128 + x/512;
int16_t y = x>>5;
x+=y;
y=y>>2;
x-=y;
return x+(y>>2);
}
int16_t calcRESXto1000(int16_t x) // return x/1.024
{
// *1000/1024 = x - x/32 + x/128
return (x - (x>>5) + (x>>7));
}
int8_t calcRESXto100(int16_t x)
{
return (x*25) >> 8;
}
#endif
#if defined(HELI) || defined(FRSKY_HUB)
uint16_t isqrt32(uint32_t n)
{
uint16_t c = 0x8000;
uint16_t g = 0x8000;
for (;;) {
if ((uint32_t)g*g > n)
g ^= c;
c >>= 1;
if(c == 0)
return g;
g |= c;
}
}
#endif
/*
Division by 10 and rounding or fixed point arithmetic values
Examples:
value -> result
105 -> 11
104 -> 10
-205 -> -21
-204 -> -20
*/
getvalue_t div10_and_round(getvalue_t value)
{
if (value >= 0 ) {
value += 5;
}
else {
value -= 5;
}
return value/10;
}
#if defined(PCBTARANIS)
double gpsToDouble(bool neg, int16_t bp, int16_t ap)
{
double result = ap;
result /= 10000;
result += (bp % 100);
result /= 60;
result += (bp / 100);
return neg?-result:result;
}
#endif
#if defined(FRSKY_HUB)
void extractLatitudeLongitude(uint32_t * latitude, uint32_t * longitude)
{
div_t qr = div(frskyData.hub.gpsLatitude_bp, 100);
*latitude = ((uint32_t)(qr.quot) * 1000000) + (((uint32_t)(qr.rem) * 10000 + frskyData.hub.gpsLatitude_ap) * 5) / 3;
qr = div(frskyData.hub.gpsLongitude_bp, 100);
*longitude = ((uint32_t)(qr.quot) * 1000000) + (((uint32_t)(qr.rem) * 10000 + frskyData.hub.gpsLongitude_ap) * 5) / 3;
}
#if defined(PCBTARANIS)
double pilotLatitude;
double pilotLongitude;
#endif
void getGpsPilotPosition()
{
#if defined(PCBTARANIS)
pilotLatitude = gpsToDouble(frskyData.hub.gpsLatitudeNS=='S', frskyData.hub.gpsLatitude_bp, frskyData.hub.gpsLatitude_ap);
pilotLongitude = gpsToDouble(frskyData.hub.gpsLongitudeEW=='W', frskyData.hub.gpsLongitude_bp, frskyData.hub.gpsLongitude_ap);
#endif
extractLatitudeLongitude(&frskyData.hub.pilotLatitude, &frskyData.hub.pilotLongitude);
uint32_t lat = frskyData.hub.pilotLatitude / 10000;
uint32_t angle2 = (lat*lat) / 10000;
uint32_t angle4 = angle2 * angle2;
frskyData.hub.distFromEarthAxis = 139*(((uint32_t)10000000-((angle2*(uint32_t)123370)/81)+(angle4/25))/12500);
// printf("frskyData.hub.distFromEarthAxis=%d\n", frskyData.hub.distFromEarthAxis); fflush(stdout);
}
void getGpsDistance()
{
uint32_t lat, lng;
extractLatitudeLongitude(&lat, &lng);
// printf("lat=%d (%d), long=%d (%d)\n", lat, abs(lat - frskyData.hub.pilotLatitude), lng, abs(lng - frskyData.hub.pilotLongitude));
uint32_t angle = (lat > frskyData.hub.pilotLatitude) ? lat - frskyData.hub.pilotLatitude : frskyData.hub.pilotLatitude - lat;
uint32_t dist = EARTH_RADIUS * angle / 1000000;
uint32_t result = dist*dist;
angle = (lng > frskyData.hub.pilotLongitude) ? lng - frskyData.hub.pilotLongitude : frskyData.hub.pilotLongitude - lng;
dist = frskyData.hub.distFromEarthAxis * angle / 1000000;
result += dist*dist;
dist = abs(TELEMETRY_BARO_ALT_AVAILABLE() ? TELEMETRY_RELATIVE_BARO_ALT_BP : TELEMETRY_RELATIVE_GPS_ALT_BP);
result += dist*dist;
frskyData.hub.gpsDistance = isqrt32(result);
if (frskyData.hub.gpsDistance > frskyData.hub.maxGpsDistance)
frskyData.hub.maxGpsDistance = frskyData.hub.gpsDistance;
}
#endif