annotate src/compass_calib.c @ 642:a9a0188091e4

fix rare upgrade issue with OSTC sport 2019 hardware
author heinrichsweikamp
date Thu, 14 Jan 2021 16:24:07 +0100
parents 4050675965ea
children bc214815deb2
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1 /////////////////////////////////////////////////////////////////////////////
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2 //
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3 // compass_calib.c next generation V3.09.4
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4 //
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5 // Calibrate hard-iron for magnetic compass measurements.
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6 // Copyright (c) 2012-2019, JD Gascuel, HeinrichsWeikamp, all rights reserved.
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7 //
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8 //////////////////////////////////////////////////////////////////////////////
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9
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10 // 2015-05-22 [jDG] Make a smaller calibration code (15.6 --> 6.7 KB).
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11 // 2019-05-14 [rl] make smaller again
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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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19
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20 //////////////////////////////////////////////////////////////////////////////
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21 //
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22 // mH: Put compass data into bank 8 (stack) and bank 9 (variables)
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23 // rl: could also be overlaid with p2_deco.c stack...
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24 //
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25 #ifndef UNIX
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26 # pragma udata overlay bank8=0x800
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27 static char C_STACK[256]; // overlay C-code data stack here
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28 # define RESET_C_STACK \
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29 _asm \
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30 LFSR 1, 0x800 \
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31 LFSR 2, 0x800 \
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32 _endasm
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33 # pragma udata overlay bank9_compass
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34 # pragma code compass_cal
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35 #else
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36 # define RESET_C_STACK
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37 #endif
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38
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39 //////////////////////////////////////////////////////////////////////////////
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40
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41 static unsigned short int compass_N;
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42
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43 static float Su, Sv, Sw; // first order moments
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44 static float Suu, Svv, Sww, Suv, Suw, Svw; // second order moments
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45 static float Saa; // Suu + Svv + Sww
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46 static float Saau; // Suuu + Svvu + Swwu third order moment
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47 static float Saav; // Suuv + Svvv + Swwv third order moment
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48 static float Saaw; // Suuw + Svvw + Swww third order moment
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49
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50 static float yu, yv, yw; // temp solution vector
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51 static float uc, vc, wc; // temp sphere's center
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52
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53 static float yh,uh,S0,S1,S2,S3; // transfer vars for compass_solve_helper()
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54
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55 //////////////////////////////////////////////////////////////////////////////
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56
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57 void compass_reset_calibration()
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58 {
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59 RESET_C_STACK;
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60
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61 compass_N = 0;
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62 Su = Sv = Sw = 0.0;
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63 Suu = Svv = Sww = 0.0;
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64 Suv = Suw = Svw = 0.0;
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65 Saau = Saav = Saaw = 0.0;
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66 compass_CX_f = compass_CY_f = compass_CZ_f = 0;
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67 }
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68
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69 //////////////////////////////////////////////////////////////////////////////
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70
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71 void compass_add_calibration()
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72 {
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73 RESET_C_STACK;
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74
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75 // get filtered/calibrated magnetic direction
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76 yu = (compass_DX_f - compass_CX_f) / 32768.0f;
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77 yv = (compass_DY_f - compass_CY_f) / 32768.0f;
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78 yw = (compass_DZ_f - compass_CZ_f) / 32768.0f;
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79
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80 // add to all moments
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81 compass_N++;
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82
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83 Su += yu;
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84 Sv += yv;
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85 Sw += yw;
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86
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87 Suu += yu*yu;
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88 Suv += yu*yv;
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89 Suw += yu*yw;
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90 Svv += yv*yv;
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91 Svw += yv*yw;
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92 Sww += yw*yw;
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93
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94 Saa = yu*yu + yv*yv + yw*yw;
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95
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96 Saau += yu * Saa;
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97 Saav += yv * Saa;
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98 Saaw += yw * Saa;
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99 }
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100
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101 //////////////////////////////////////////////////////////////////////////////
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102
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103 static float compass_discriminent(PARAMETER char column)
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104 {
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105 // basic symmetric matrix
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106 OVERLAY float a = Suu, d = Suv, g = Suw;
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107 OVERLAY float b = Suv, e = Svv, h = Svw;
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108 OVERLAY float c = Suw, f = Svw, i = Sww;
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109 OVERLAY float result;
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110
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111 // substitute a column, if asked to
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112 if( column==1 ) { a = yu; b = yv; c = yw; }
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113 if( column==2 ) { d = yu; e = yv; f = yw; }
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114 if( column==3 ) { g = yu; h = yv; i = yw; }
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115
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116 // do the math in a couple of single terms to reduce
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117 // the amount of required ".tmpdata" memory
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118 result = a * (e * i - f * h);
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119 result -= b * (d * i - f * g);
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120 result += c * (d * h - e * g);
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121
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122 return result;
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123 }
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124
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125 //////////////////////////////////////////////////////////////////////////////
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126
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127 static void compass_solve_helper(void)
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128 {
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129 // computes:
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130 //
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131 // yh = S0 - Saa*uh - compass_dotc(Su*uh + 2*S1, Sv*uh + 2*S2, Sw*uh + 2*S3);
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132 //
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133 // with compass_dotc(u,v,w) = u*uc + v*vc + w*wc the equation becomes:
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134 //
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135 // yh = S0 - Saa*uh - ( (Su*uh + 2*S1)*uc + (Sv*uh + 2*S2)*vc + (Sw*uh + 2*S3)*wc )
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136 //
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137 // this equation is now split into several single terms
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138 // to reduce the amount of required ".tmpdata" memory:
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139
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140 yh = S0;
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141 yh -= Saa*uh;
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142 yh -= (Su*uh + 2*S1) * uc;
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143 yh -= (Sv*uh + 2*S2) * vc;
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144 yh -= (Sw*uh + 2*S3) * wc;
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145
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146 return;
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147 }
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148
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149 //////////////////////////////////////////////////////////////////////////////
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150
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151 void compass_solve_calibration()
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152 {
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153 OVERLAY float delta;
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154
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155 RESET_C_STACK;
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156
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157 //---- Compute center of measured magnetic directions --------------------
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158 uc = Su/compass_N;
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159 vc = Sv/compass_N;
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160 wc = Sw/compass_N;
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161
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162 //---- Normalize partial sums --------------------------------------------
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163 //
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164 // We measured the (u, v, w) values, and need the centered (x, y, z) ones
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165 // around the sphere center's (uc, vc, wc) as:
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166 // uc = Su / N; The mean value
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167 // x = u - uc; The difference to the mean.
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168 //
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169 // So:
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170 // x**2 = (u - uc)**2 = u**2 - 2u*uc + uc**2
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171 //
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172 // We need the Sxx sum of 2nd orders:
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173 // Sxx = Suu - 2 uc Su + N*uc*(Su/N) = Suu - uc Su
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174 Suu -= Su*uc;
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175 Svv -= Sv*vc;
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176 Sww -= Sw*wc;
0
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177
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178 // (u - uc)(v - vc) = uv - u vc - v uc + uc vc
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179 // Sxy = Suv - Su vc - Sv uc + N uc vc
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180 // = Suv - Su vc - N vc uc + N uc vc
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181 // = Suv - Su vc
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182 Suv -= Su*vc;
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183 Suw -= Su*wc;
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184 Svw -= Sv*wc;
0
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185
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186 // (u + um)**3 = u**3 + 3 u**2 um + 3 u um**2 + um**3
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187 // Sxxx = Suuu + 3 um Suu + 3 um**2 Su + N.um**3
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188 // Su = 0, um = Sx/N:
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189 // Suuu = Sxxx - 3 Sx*Suu/N - N.(Sx/N)**3
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190 // = Sxxx - 3 Sx*Suu/N - Sx**3/N**2
0
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191
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192 // (u + um)**2 (v + vm) = (u**2 + 2 u um + um**2)(v + vm)
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193 // Sxxy = Suuv + vm Suu + 2 um (Suv + vm Su) + um**2 (Sv + N.vm)
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194 //
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195 // Su = 0, Sv = 0, vm = Sy/N:
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196 // Sxxy = Suuv + vm Suu + 2 um Suv + N um**2 vm
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197 //
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198 // Suuv = Sxxy - (Sy/N) Suu - 2 (Sx/N) Suv - (Sx/N)**2 Sy
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199 // = Sxxy - Suu*Sy/N - 2 Suv*Sx/N - Sx*Sx*Sy/N/N
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200 // = Sxxy - (Suu + Sx*Sx/N)*Sy/N - 2 Suv*Sx/N
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201
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202 Saa = Suu + Svv + Sww;
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203
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204 // compute yu = Saau - Saa*uc - compass_dotc(Su*uc + 2*Suu, Sv*uc + 2*Suv, Sw*uc + 2*Suw);
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205 uh = uc; S0 = Saau; S1 = Suu; S2 = Suv; S3 = Suw;
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206 compass_solve_helper();
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207 yu = yh;
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208
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209 // compute yv = Saav - Saa*vc - compass_dotc(Su*vc + 2*Suv, Sv*vc + 2*Svv, Sw*vc + 2*Svw);
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210 uh = vc; S0 = Saav; S1 = Suv; S2 = Svv; S3 = Svw;
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211 compass_solve_helper();
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212 yv = yh;
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213
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214 // compute yw = Saaw - Saa*wc - compass_dotc(Su*wc + 2*Suw, Sv*wc + 2*Svw, Sw*wc + 2*Sww);
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215 uh = wc; S0 = Saaw; S1 = Suw; S2 = Svw; S3 = Sww;
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216 compass_solve_helper();
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217 yw = yh;
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218
0
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219
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220 //---- Solve the system --------------------------------------------------
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221 // uc Suu + vc Suv + wc Suw = (Suuu + Svvu + Swwu) / 2
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222 // uc Suv + vc Svv + wc Svw = (Suuv + Svvv + Swwv) / 2
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223 // uc Suw + vc Svw + wc Sww = (Suuw + Svvw + Swww) / 2
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224 //
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225 // Note this is symmetric, with a positive diagonal, hence discriminant is always not null
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226
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227 delta = 0.5f / compass_discriminent(0);
0
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228
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229 // computed new center, with offset values:
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230 uc += compass_discriminent(1) * delta;
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231 vc += compass_discriminent(2) * delta;
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232 wc += compass_discriminent(3) * delta;
0
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233
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234 // add correction due to already applied calibration:
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235 compass_CX_f += (short)(32768 * uc);
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236 compass_CY_f += (short)(32768 * vc);
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237 compass_CZ_f += (short)(32768 * wc);
0
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238 }
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239
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240 #endif // _compass