annotate src/compass.c @ 628:cd58f7fc86db

3.05 stable work
author heinrichsweikamp
date Thu, 19 Sep 2019 12:01:29 +0200
parents c40025d8e750
children bc214815deb2
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1 //////////////////////////////////////////////////////////////////////////////
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2 /// compass.c
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3 /// Compute north direction from magnetic/acceleration measures V3.02.1
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4 ///
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5 /// Copyright (c) 2012-2015, JD Gascuel, HeinrichsWeikamp, all right reserved.
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6 //////////////////////////////////////////////////////////////////////////////
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7 // HISTORY
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8 // 2012-12-01 [jDG] Creation
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9 // 2012-12-23 [jDG] Added filtering.
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10 // 2012-12-30 [jDG] Added calibration (spherical best fit).
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11 // 2015-05-22 [jDG] Minor cleanups. Smaller calibration code.
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12
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13 #include "configuration.inc"
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14 #include "compass.h"
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15
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16
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17 #ifdef _compass
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18
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19
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20 //////////////////////////////////////////////////////////////////////////////
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21 // mH: crude work-around, needs to be fixed up
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22 #ifndef UNIX
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23 # pragma udata overlay bank8=0x800
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24 static char C_STACK[256]; // overlay C-code data stack here
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25 # define RESET_C_STACK \
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26 _asm \
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27 LFSR 1, 0x800 \
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28 LFSR 2, 0x800 \
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29 _endasm
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30 # pragma udata overlay bank9_compass
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31 # pragma code compass_run
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32 #else
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33 # define RESET_C_STACK
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34 #endif
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35
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36 //////////////////////////////////////////////////////////////////////////////
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37 // fifth order of polynomial approximation of atan(), giving 0.05 deg max error
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38 //
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39 #define K1 (5701) // needs K1/2**16
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40 #define K2 (1645) // needs K2/2**48 WAS NEGATIV
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41 #define K3 ( 446) // needs K3/2**80
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42
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43
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44 //////////////////////////////////////////////////////////////////////////////
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45 // Interface to assembler multiplies
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46
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47 Int16 umul(PARAMETER Int16 a, PARAMETER Int16 b)
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48 {
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49 extern Int16 compass_umul(void);
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50 extern Int16 compass_a, compass_b;
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51 compass_a = a;
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52 compass_b = b;
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53 return compass_umul();
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54 }
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55
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56 Int16 imul(PARAMETER Int16 a, PARAMETER Int16 b)
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57 {
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58 extern Int16 compass_imul(void);
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59 extern Int16 compass_a, compass_b;
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60 compass_a = a;
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61 compass_b = b;
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62 return compass_imul();
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63 }
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64
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65 //////////////////////////////////////////////////////////////////////////////
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66 /// Returns a / b * 2**16
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67 ///
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68 /// A 16/16 -> 16 bits divide, returning a scaled result.
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69 /// Used to multiply fractional numbers in the range 0..1,
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70 /// represented as 0..32767.
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71
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72 Int16 udiv(PARAMETER Int16 a, PARAMETER Int16 b)
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73 {
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74 OVERLAY Int16 d, r;
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75 OVERLAY char failsafe=250;
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76
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77 //---- Pre-scale both numerator and denominator --------------------------
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78 while( (((a>>8) | (b>>8)) & 0xC0) == 0 )
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79 {
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80 failsafe--;
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81 if( failsafe == 0 ) break;
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82
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83 a <<= 1;
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84 b <<= 1;
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85 }
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86
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87 //---- Make division trials ----------------------------------------------
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88 d = 0x4000; // start with 0.5, because 1.0 is sign bit
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89 b >>= 1; // hence pre-shift b
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90 r = 0;
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91 do {
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92 if( a >= b ) // a is big enough ?
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93 {
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94 a -= b; // then count d times b out of it
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95 r |= d; // and accumulate that bit
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96 }
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97 b >>= 1; // then loop trying twice smaller
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98 d >>= 1;
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99 } while( b );
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100 return r;
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101 }
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102
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103 //////////////////////////////////////////////////////////////////////////////
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104 /// Computes atan(y/x) in Angle, for x, y in range 0..32767
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105 ///
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106 /// Results a single quadrant Angle, in the range 0 .. Q_PI/2
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107
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108 Angle utan(PARAMETER Int16 y, PARAMETER Int16 x)
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109 {
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110 OVERLAY Int16 ratio, angle, x2, x3;
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111
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112 //---- Handle zero divisor -----------------------------------------------
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113 if( x == 0 )
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114 return (y == 0) ? 0 : Q_PIO2;
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115
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116 //---- Make it half-quadrant : 0 .. 45 deg -------------------------------
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117 ratio = (x > y) ? udiv(y, x) : udiv(x, y);
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118
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119 //---- Then apply the polynomial approximation ---------------------------
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120 angle = umul(K1, ratio); // r*K1 / 2**16
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121 x2 = umul(ratio, ratio); // r**2 / 2**16
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122 x3 = umul(x2, ratio); // r**3 / 2**32
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123 angle -= umul(x3, K2); // K2*r**3 / 2**48: NEGATIV.
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124
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125 x3 = umul(x3, x2); // r**5 / 2**64
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126 angle += umul(x3, K3); // K3*r**5 / 2**80
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127
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128 //---- Recover the full quadrant -----------------------------------------
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129 return (x < y) ? (Angle)(Q_PIO2 - angle)
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130 : (Angle)(angle);
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131 }
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132
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133 //////////////////////////////////////////////////////////////////////////////
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134 /// Computes atan2(y/x) in Angle, for x, y in range -32768 to 32767
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135 ///
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136 /// Results a four quadrant Angle, in the range -Q_PI .. +Q_PI
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137
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138 Angle itan(PARAMETER Int16 y, PARAMETER Int16 x)
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139 {
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140 // Beware: -32768 is not properly handled (sign error)
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141 if( x == -32768 ) x = -32767;
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142 if( y == -32768 ) y = -32767;
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143
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144 if( x >= 0 )
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145 if( y >= 0 ) // first quadrant: 0..90 deg.
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146 return utan(y,x);
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147 else // fourth quadrant: 0..-90 deg
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148 return -utan(-y,x);
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149 else
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150 if( y >= 0 ) // second quadrant: 90..180 deg
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151 return Q_PI - utan(y, -x);
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152 else // third quadrant: -90..-180 deg;
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153 return -Q_PI + utan(-y, -x);
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154 }
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155
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156 //////////////////////////////////////////////////////////////////////////////
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157 /// Computes cos(theta) = sqrtf(x2/h2),
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158 /// when theta = atan(y/x) and h2=x*x+y*y
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159 ///
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160
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161 Int16 cosxh(PARAMETER Int16 x2, PARAMETER Int16 h2)
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162 {
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163 OVERLAY Int16 r = 0;
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164 OVERLAY Int16 d = 0x4000;
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165
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166 do {
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167 OVERLAY Int16 a = r + d;
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168 a = umul(a, a);
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169 a = umul(a, h2);
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170 if( a <= x2 ) r += d;
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171 d >>= 1;
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172 } while( d );
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173
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174 return r;
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175 }
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176
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177 //////////////////////////////////////////////////////////////////////////////
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178 /// Computes both sin and cos of angle y/x,
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179 /// with h = sqrt(x**2+y**2).
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180 ///
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181
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182 void sincos(PARAMETER Int16 x, PARAMETER Int16 y, Int16* sin, Int16* cos)
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183 {
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184 OVERLAY Int16 x2, y2, h2;
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185 OVERLAY char failsafe = 250;
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186
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187 //---- Fold into one quadrant --------------------------------------------
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188 OVERLAY char neg = 0;
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189 if( x < 0 )
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190 {
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191 neg |= 1;
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192 x = -x;
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193 }
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194 if( y < 0 )
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195 {
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196 neg |= 2;
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197 y = -y;
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198 }
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199
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200 //---- Pre-scale both numerator and denominator ----------------------
604
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201 while( (((x>>8) | (y>>8)) & 0xE0) == 0 )
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202 {
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203 failsafe--;
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204 if( failsafe == 0 ) break;
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205
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206 x <<= 1;
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207 y <<= 1;
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208 }
0
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209
604
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210 //---- Uses trig() to do the stuff one on quadrant -------------------
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211 x2 = umul(x,x);
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212 y2 = umul(y,y);
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213 h2 = x2 + y2;
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214 x2 = cosxh(x2, h2);
0
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215
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216 //---- Results back in four quadrants --------------------------------
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217 *cos = (neg & 1) ? -x2 : x2;
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218 y2 = cosxh(y2, h2);
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219 *sin = (neg & 2) ? -y2 : y2;
0
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220 }
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221
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222 //////////////////////////////////////////////////////////////////////////////
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223 //
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224
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225 void compass(void)
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226 {
604
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227 OVERLAY Int16 sin, cos;
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228 OVERLAY Int16 iBfx, iBfy, Gz;
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229 OVERLAY Int16 iBpx, iBpy, iBpz;
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230
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231 RESET_C_STACK;
0
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232
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233 //---- Detect uncalibrated compass ---------------------------------------
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234 if( !compass_CX_f && !compass_CY_f && !compass_CZ_f )
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235 {
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236 // no usable compass is signaled by bit 15 set to 1
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237 compass_heading_new = 32768;
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238 return;
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239 }
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240
604
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241 //---- Make hard iron correction -----------------------------------------
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242 // Measured magnetometer orientation, measured ok
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243 // From matthias drawing: (X,Y,Z) --> (X,Y,Z) : no rotation
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244 iBpx = compass_DX_f - compass_CX_f; // X
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245 iBpy = compass_DY_f - compass_CY_f; // Y
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246 iBpz = compass_DZ_f - compass_CZ_f; // Z
0
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247
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248 //---- Calculate sine and cosine of roll angle Phi -----------------------
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249 sincos(accel_DZ_f, accel_DY_f, &sin, &cos);
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250
604
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251 //---- rotate by roll angle (-Phi) ---------------------------------------
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252 iBfy = imul(iBpy, cos) - imul(iBpz, sin);
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253 iBpz = imul(iBpy, sin) + imul(iBpz, cos);
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254 Gz = imul(accel_DY_f, sin) + imul(accel_DZ_f, cos);
0
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255
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256 //---- calculate sin and cosine of pitch angle Theta ---------------------
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257 sincos(Gz, -accel_DX_f, &sin, &cos); // NOTE: changed sin sign
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258
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259 /* correct cosine if pitch not in range -90 to 90 degrees */
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260 if( cos < 0 ) cos = -cos;
0
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261
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262 ///---- de-rotate by pitch angle Theta -----------------------------------
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263 iBfx = imul(iBpx, cos) + imul(iBpz, sin);
0
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264
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265 //---- calculate current yaw = e-compass angle Psi -----------------------
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266 // Result in degree (no need of 0.01 deg precision...
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267 compass_heading_new = itan(-iBfy, iBfx) / 100;
0
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268
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269 // Result in 0..360 range:
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270 if( compass_heading_new < 0 )
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271 compass_heading_new += 360;
0
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272 }
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273
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274 #endif // _compass