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Rev | Author | Line No. | Line |
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2096 | - | 1 | #include <avr/io.h> |
1910 | - | 2 | #include <avr/interrupt.h> |
3 | #include <avr/pgmspace.h> |
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2096 | - | 4 | #include <stdlib.h> |
1910 | - | 5 | |
6 | #include "analog.h" |
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7 | #include "attitude.h" |
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2096 | - | 8 | #include "printf_P.h" |
2102 | - | 9 | #include "isqrt.h" |
2119 | - | 10 | #include "sensors.h" |
2125 | - | 11 | #include "configuration.h" |
1910 | - | 12 | |
13 | // for Delay functions |
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14 | #include "timer0.h" |
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15 | |||
16 | // For reading and writing acc. meter offsets. |
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17 | #include "eeprom.h" |
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18 | |||
2096 | - | 19 | // For debugOut |
1910 | - | 20 | #include "output.h" |
21 | |||
2096 | - | 22 | // set ADC enable & ADC Start Conversion & ADC Interrupt Enable bit |
23 | #define startADC() (ADCSRA |= (1<<ADEN)|(1<<ADSC)|(1<<ADIE)) |
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24 | |||
25 | const char* recal = ", recalibration needed."; |
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26 | |||
1910 | - | 27 | /* |
28 | * For each A/D conversion cycle, each analog channel is sampled a number of times |
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29 | * (see array channelsForStates), and the results for each channel are summed. |
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30 | * Here are those for the gyros and the acc. meters. They are not zero-offset. |
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31 | * They are exported in the analog.h file - but please do not use them! The only |
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32 | * reason for the export is that the ENC-03_FC1.3 modules needs them for calibrating |
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33 | * the offsets with the DAC. |
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34 | */ |
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2096 | - | 35 | volatile uint16_t sensorInputs[8]; |
1910 | - | 36 | |
2104 | - | 37 | |
1910 | - | 38 | /* |
39 | * These 4 exported variables are zero-offset. The "PID" ones are used |
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40 | * in the attitude control as rotation rates. The "ATT" ones are for |
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41 | * integration to angles. |
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42 | */ |
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2099 | - | 43 | int16_t gyro_PID[3]; |
44 | int16_t gyro_ATT[3]; |
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45 | int16_t gyroD[3]; |
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2103 | - | 46 | int16_t gyroDWindow[3][GYRO_D_WINDOW_LENGTH]; |
2096 | - | 47 | uint8_t gyroDWindowIdx = 0; |
48 | |||
1910 | - | 49 | /* |
2109 | - | 50 | * Airspeed |
51 | */ |
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52 | int16_t airpressure; |
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53 | uint16_t airspeedVelocity = 0; |
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54 | //int16_t airpressureWindow[AIRPRESSURE_WINDOW_LENGTH]; |
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55 | //uint8_t airpressureWindowIdx = 0; |
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56 | |||
57 | /* |
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1910 | - | 58 | * Offset values. These are the raw gyro and acc. meter sums when the copter is |
59 | * standing still. They are used for adjusting the gyro and acc. meter values |
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60 | * to be centered on zero. |
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61 | */ |
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2096 | - | 62 | sensorOffset_t gyroOffset; |
2106 | - | 63 | uint16_t airpressureOffset; |
1910 | - | 64 | |
65 | /* |
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2096 | - | 66 | * In the MK coordinate system, nose-down is positive and left-roll is positive. |
67 | * If a sensor is used in an orientation where one but not both of the axes has |
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68 | * an opposite sign, PR_ORIENTATION_REVERSED is set to 1 (true). |
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69 | * Transform: |
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70 | * pitch <- pp*pitch + pr*roll |
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71 | * roll <- rp*pitch + rr*roll |
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72 | * Not reversed, GYRO_QUADRANT: |
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73 | * 0: pp=1, pr=0, rp=0, rr=1 // 0 degrees |
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74 | * 1: pp=1, pr=-1,rp=1, rr=1 // +45 degrees |
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75 | * 2: pp=0, pr=-1,rp=1, rr=0 // +90 degrees |
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76 | * 3: pp=-1,pr=-1,rp=1, rr=1 // +135 degrees |
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77 | * 4: pp=-1,pr=0, rp=0, rr=-1 // +180 degrees |
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78 | * 5: pp=-1,pr=1, rp=-1,rr=-1 // +225 degrees |
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79 | * 6: pp=0, pr=1, rp=-1,rr=0 // +270 degrees |
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80 | * 7: pp=1, pr=1, rp=-1,rr=1 // +315 degrees |
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81 | * Reversed, GYRO_QUADRANT: |
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82 | * 0: pp=-1,pr=0, rp=0, rr=1 // 0 degrees with pitch reversed |
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83 | * 1: pp=-1,pr=-1,rp=-1,rr=1 // +45 degrees with pitch reversed |
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84 | * 2: pp=0, pr=-1,rp=-1,rr=0 // +90 degrees with pitch reversed |
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85 | * 3: pp=1, pr=-1,rp=-1,rr=1 // +135 degrees with pitch reversed |
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86 | * 4: pp=1, pr=0, rp=0, rr=-1 // +180 degrees with pitch reversed |
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87 | * 5: pp=1, pr=1, rp=1, rr=-1 // +225 degrees with pitch reversed |
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88 | * 6: pp=0, pr=1, rp=1, rr=0 // +270 degrees with pitch reversed |
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89 | * 7: pp=-1,pr=1, rp=1, rr=1 // +315 degrees with pitch reversed |
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90 | */ |
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91 | |||
2099 | - | 92 | void rotate(int16_t* result, uint8_t quadrant, uint8_t reversePR, uint8_t reverseYaw) { |
2096 | - | 93 | static const int8_t rotationTab[] = {1,1,0,-1,-1,-1,0,1}; |
94 | // Pitch to Pitch part |
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2099 | - | 95 | int8_t xx = reversePR ? rotationTab[(quadrant+4)%8] : rotationTab[quadrant]; |
2096 | - | 96 | // Roll to Pitch part |
97 | int8_t xy = rotationTab[(quadrant+2)%8]; |
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98 | // Pitch to Roll part |
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2099 | - | 99 | int8_t yx = reversePR ? rotationTab[(quadrant+2)%8] : rotationTab[(quadrant+6)%8]; |
2096 | - | 100 | // Roll to Roll part |
101 | int8_t yy = rotationTab[quadrant]; |
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102 | |||
103 | int16_t xIn = result[0]; |
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104 | result[0] = xx*xIn + xy*result[1]; |
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105 | result[1] = yx*xIn + yy*result[1]; |
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106 | |||
107 | if (quadrant & 1) { |
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108 | // A rotation was used above, where the factors were too large by sqrt(2). |
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109 | // So, we multiply by 2^n/sqt(2) and right shift n bits, as to divide by sqrt(2). |
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110 | // A suitable value for n: Sample is 11 bits. After transformation it is the sum |
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111 | // of 2 11 bit numbers, so 12 bits. We have 4 bits left... |
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112 | result[0] = (result[0]*11) >> 4; |
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113 | result[1] = (result[1]*11) >> 4; |
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114 | } |
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2099 | - | 115 | |
116 | if (reverseYaw) |
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117 | result[3] =-result[3]; |
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2096 | - | 118 | } |
119 | |||
120 | /* |
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1910 | - | 121 | * Battery voltage, in units of: 1k/11k / 3V * 1024 = 31.03 per volt. |
122 | * That is divided by 3 below, for a final 10.34 per volt. |
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123 | * So the initial value of 100 is for 9.7 volts. |
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124 | */ |
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2104 | - | 125 | uint16_t UBat = 100; |
1910 | - | 126 | |
127 | /* |
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128 | * Control and status. |
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129 | */ |
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130 | volatile uint8_t analogDataReady = 1; |
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131 | |||
132 | /* |
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133 | * Experiment: Measuring vibration-induced sensor noise. |
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134 | */ |
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2096 | - | 135 | uint16_t gyroNoisePeak[3]; |
1910 | - | 136 | |
2096 | - | 137 | volatile uint8_t adState; |
138 | volatile uint8_t adChannel; |
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139 | |||
1910 | - | 140 | // ADC channels |
141 | #define AD_GYRO_YAW 0 |
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142 | #define AD_GYRO_ROLL 1 |
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143 | #define AD_GYRO_PITCH 2 |
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144 | #define AD_AIRPRESSURE 3 |
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145 | #define AD_UBAT 4 |
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146 | #define AD_ACC_Z 5 |
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147 | #define AD_ACC_ROLL 6 |
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148 | #define AD_ACC_PITCH 7 |
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149 | |||
150 | /* |
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151 | * Table of AD converter inputs for each state. |
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152 | * The number of samples summed for each channel is equal to |
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153 | * the number of times the channel appears in the array. |
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154 | * The max. number of samples that can be taken in 2 ms is: |
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155 | * 20e6 / 128 / 13 / (1/2e-3) = 24. Since the main control |
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156 | * loop needs a little time between reading AD values and |
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157 | * re-enabling ADC, the real limit is (how much?) lower. |
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158 | * The acc. sensor is sampled even if not used - or installed |
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159 | * at all. The cost is not significant. |
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160 | */ |
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161 | |||
162 | const uint8_t channelsForStates[] PROGMEM = { |
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2099 | - | 163 | AD_GYRO_PITCH, |
164 | AD_GYRO_ROLL, |
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165 | AD_GYRO_YAW, |
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1910 | - | 166 | |
2099 | - | 167 | AD_GYRO_PITCH, |
168 | AD_GYRO_ROLL, |
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169 | AD_GYRO_YAW, |
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170 | |||
2122 | - | 171 | AD_AIRPRESSURE, |
172 | |||
2099 | - | 173 | AD_UBAT, |
174 | |||
175 | AD_GYRO_PITCH, |
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176 | AD_GYRO_ROLL, |
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177 | AD_GYRO_YAW, |
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1910 | - | 178 | |
2099 | - | 179 | AD_GYRO_PITCH, |
180 | AD_GYRO_ROLL, |
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2122 | - | 181 | AD_GYRO_YAW, |
182 | |||
183 | AD_AIRPRESSURE |
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1910 | - | 184 | }; |
185 | |||
186 | // Feature removed. Could be reintroduced later - but should work for all gyro types then. |
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187 | // uint8_t GyroDefectPitch = 0, GyroDefectRoll = 0, GyroDefectYaw = 0; |
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188 | |||
189 | void analog_init(void) { |
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190 | uint8_t sreg = SREG; |
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191 | // disable all interrupts before reconfiguration |
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192 | cli(); |
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193 | |||
194 | //ADC0 ... ADC7 is connected to PortA pin 0 ... 7 |
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195 | DDRA = 0x00; |
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196 | PORTA = 0x00; |
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197 | // Digital Input Disable Register 0 |
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198 | // Disable digital input buffer for analog adc_channel pins |
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199 | DIDR0 = 0xFF; |
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200 | // external reference, adjust data to the right |
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2096 | - | 201 | ADMUX &= ~((1<<REFS1)|(1<<REFS0)|(1<<ADLAR)); |
1910 | - | 202 | // set muxer to ADC adc_channel 0 (0 to 7 is a valid choice) |
2096 | - | 203 | ADMUX = (ADMUX & 0xE0); |
1910 | - | 204 | //Set ADC Control and Status Register A |
205 | //Auto Trigger Enable, Prescaler Select Bits to Division Factor 128, i.e. ADC clock = SYSCKL/128 = 156.25 kHz |
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2096 | - | 206 | ADCSRA = (1<<ADPS2)|(1<<ADPS1)|(1<<ADPS0); |
1910 | - | 207 | //Set ADC Control and Status Register B |
208 | //Trigger Source to Free Running Mode |
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2096 | - | 209 | ADCSRB &= ~((1<<ADTS2)|(1<<ADTS1)|(1<<ADTS0)); |
210 | |||
211 | startAnalogConversionCycle(); |
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212 | |||
1910 | - | 213 | // restore global interrupt flags |
214 | SREG = sreg; |
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215 | } |
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216 | |||
2096 | - | 217 | uint16_t rawGyroValue(uint8_t axis) { |
218 | return sensorInputs[AD_GYRO_PITCH-axis]; |
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219 | } |
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220 | |||
2099 | - | 221 | /* |
2096 | - | 222 | uint16_t rawAccValue(uint8_t axis) { |
223 | return sensorInputs[AD_ACC_PITCH-axis]; |
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224 | } |
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2099 | - | 225 | */ |
2096 | - | 226 | |
1910 | - | 227 | void measureNoise(const int16_t sensor, |
228 | volatile uint16_t* const noiseMeasurement, const uint8_t damping) { |
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229 | if (sensor > (int16_t) (*noiseMeasurement)) { |
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230 | *noiseMeasurement = sensor; |
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231 | } else if (-sensor > (int16_t) (*noiseMeasurement)) { |
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232 | *noiseMeasurement = -sensor; |
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233 | } else if (*noiseMeasurement > damping) { |
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234 | *noiseMeasurement -= damping; |
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235 | } else { |
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236 | *noiseMeasurement = 0; |
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237 | } |
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238 | } |
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239 | |||
2096 | - | 240 | void startAnalogConversionCycle(void) { |
241 | analogDataReady = 0; |
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242 | |||
243 | // Stop the sampling. Cycle is over. |
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244 | for (uint8_t i = 0; i < 8; i++) { |
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245 | sensorInputs[i] = 0; |
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246 | } |
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247 | adState = 0; |
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248 | adChannel = AD_GYRO_PITCH; |
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249 | ADMUX = (ADMUX & 0xE0) | adChannel; |
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250 | startADC(); |
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1910 | - | 251 | } |
252 | |||
253 | /***************************************************** |
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254 | * Interrupt Service Routine for ADC |
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2096 | - | 255 | * Runs at 312.5 kHz or 3.2 �s. When all states are |
256 | * processed further conversions are stopped. |
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1910 | - | 257 | *****************************************************/ |
258 | ISR(ADC_vect) { |
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2096 | - | 259 | sensorInputs[adChannel] += ADC; |
260 | // set up for next state. |
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261 | adState++; |
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262 | if (adState < sizeof(channelsForStates)) { |
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263 | adChannel = pgm_read_byte(&channelsForStates[adState]); |
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264 | // set adc muxer to next adChannel |
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265 | ADMUX = (ADMUX & 0xE0) | adChannel; |
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266 | // after full cycle stop further interrupts |
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267 | startADC(); |
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268 | } else { |
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269 | analogDataReady = 1; |
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270 | // do not restart ADC converter. |
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271 | } |
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272 | } |
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1910 | - | 273 | |
2096 | - | 274 | void analog_updateGyros(void) { |
275 | // for various filters... |
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2099 | - | 276 | int16_t tempOffsetGyro[3], tempGyro; |
2096 | - | 277 | |
278 | debugOut.digital[0] &= ~DEBUG_SENSORLIMIT; |
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2103 | - | 279 | |
2099 | - | 280 | for (uint8_t axis=0; axis<3; axis++) { |
2096 | - | 281 | tempGyro = rawGyroValue(axis); |
282 | /* |
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283 | * Process the gyro data for the PID controller. |
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284 | */ |
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285 | // 1) Extrapolate: Near the ends of the range, we boost the input significantly. This simulates a |
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286 | // gyro with a wider range, and helps counter saturation at full control. |
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287 | |||
288 | if (staticParams.bitConfig & CFG_GYRO_SATURATION_PREVENTION) { |
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2099 | - | 289 | if (tempGyro < SENSOR_MIN) { |
2096 | - | 290 | debugOut.digital[0] |= DEBUG_SENSORLIMIT; |
291 | tempGyro = tempGyro * EXTRAPOLATION_SLOPE - EXTRAPOLATION_LIMIT; |
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2099 | - | 292 | } else if (tempGyro > SENSOR_MAX) { |
2096 | - | 293 | debugOut.digital[0] |= DEBUG_SENSORLIMIT; |
2099 | - | 294 | tempGyro = (tempGyro - SENSOR_MAX) * EXTRAPOLATION_SLOPE + SENSOR_MAX; |
2096 | - | 295 | } |
296 | } |
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1910 | - | 297 | |
2096 | - | 298 | // 2) Apply sign and offset, scale before filtering. |
2125 | - | 299 | tempOffsetGyro[axis] = (tempGyro - gyroOffset.offsets[axis] + IMUConfig.gyroCalibrationTweak[axis]); |
2096 | - | 300 | } |
1910 | - | 301 | |
2096 | - | 302 | // 2.1: Transform axes. |
2099 | - | 303 | rotate(tempOffsetGyro, IMUConfig.gyroQuadrant, IMUConfig.imuReversedFlags & IMU_REVERSE_GYRO_PR, IMUConfig.imuReversedFlags & IMU_REVERSE_GYRO_YAW); |
1910 | - | 304 | |
2099 | - | 305 | for (uint8_t axis=0; axis<3; axis++) { |
2096 | - | 306 | // 3) Filter. |
307 | tempOffsetGyro[axis] = (gyro_PID[axis] * (IMUConfig.gyroPIDFilterConstant - 1) + tempOffsetGyro[axis]) / IMUConfig.gyroPIDFilterConstant; |
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1910 | - | 308 | |
2096 | - | 309 | // 4) Measure noise. |
310 | measureNoise(tempOffsetGyro[axis], &gyroNoisePeak[axis], GYRO_NOISE_MEASUREMENT_DAMPING); |
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1910 | - | 311 | |
2096 | - | 312 | // 5) Differential measurement. |
313 | // gyroD[axis] = (gyroD[axis] * (staticParams.gyroDFilterConstant - 1) + (tempOffsetGyro[axis] - gyro_PID[axis])) / staticParams.gyroDFilterConstant; |
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314 | int16_t diff = tempOffsetGyro[axis] - gyro_PID[axis]; |
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315 | gyroD[axis] -= gyroDWindow[axis][gyroDWindowIdx]; |
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316 | gyroD[axis] += diff; |
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317 | gyroDWindow[axis][gyroDWindowIdx] = diff; |
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1910 | - | 318 | |
2096 | - | 319 | // 6) Done. |
320 | gyro_PID[axis] = tempOffsetGyro[axis]; |
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1910 | - | 321 | |
2096 | - | 322 | // Prepare tempOffsetGyro for next calculation below... |
2125 | - | 323 | tempOffsetGyro[axis] = (rawGyroValue(axis) - gyroOffset.offsets[axis] + IMUConfig.gyroCalibrationTweak[axis]); |
2096 | - | 324 | } |
1910 | - | 325 | |
2096 | - | 326 | /* |
327 | * Now process the data for attitude angles. |
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328 | */ |
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2099 | - | 329 | rotate(tempOffsetGyro, IMUConfig.gyroQuadrant, IMUConfig.imuReversedFlags & IMU_REVERSE_GYRO_PR, IMUConfig.imuReversedFlags & IMU_REVERSE_GYRO_YAW); |
1910 | - | 330 | |
2099 | - | 331 | // dampenGyroActivity(); |
332 | gyro_ATT[PITCH] = tempOffsetGyro[PITCH]; |
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333 | gyro_ATT[ROLL] = tempOffsetGyro[ROLL]; |
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2103 | - | 334 | gyro_ATT[YAW] = tempOffsetGyro[YAW]; |
1910 | - | 335 | |
2096 | - | 336 | if (++gyroDWindowIdx >= IMUConfig.gyroDWindowLength) { |
337 | gyroDWindowIdx = 0; |
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338 | } |
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339 | } |
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1910 | - | 340 | |
2105 | - | 341 | // probably wanna aim at 1/10 m/s/unit. |
2109 | - | 342 | #define LOG_AIRSPEED_FACTOR 0 |
2105 | - | 343 | |
344 | void analog_updateAirspeed(void) { |
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2109 | - | 345 | uint16_t rawAirpressure = sensorInputs[AD_AIRPRESSURE]; |
346 | int16_t temp = airpressureOffset - rawAirpressure; |
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347 | //airpressure -= airpressureWindow[airpressureWindowIdx]; |
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348 | //airpressure += temp; |
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349 | //airpressureWindow[airpressureWindowIdx] = temp; |
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350 | //airpressureWindowIdx++; |
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351 | //if (airpressureWindowIdx == AIRPRESSURE_WINDOW_LENGTH) { |
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352 | // airpressureWindowIdx = 0; |
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353 | //} |
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354 | |||
355 | #define AIRPRESSURE_FILTER 16 |
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356 | airpressure = ((int32_t)airpressure * (AIRPRESSURE_FILTER-1) + (AIRPRESSURE_FILTER/2) + temp) / AIRPRESSURE_FILTER; |
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357 | |||
358 | uint16_t p2 = (airpressure<0) ? 0 : airpressure; |
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359 | airspeedVelocity = (staticParams.airspeedCorrection * isqrt16(p2)) >> LOG_AIRSPEED_FACTOR; |
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360 | |||
361 | debugOut.analog[17] = airpressure; |
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362 | debugOut.analog[18] = airpressureOffset; |
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363 | debugOut.analog[19] = airspeedVelocity; |
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364 | |||
365 | isFlying = 0; //(airspeedVelocity >= staticParams.isFlyingThreshold); |
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2096 | - | 366 | } |
1910 | - | 367 | |
2096 | - | 368 | void analog_updateBatteryVoltage(void) { |
369 | // Battery. The measured value is: (V * 1k/11k)/3v * 1024 = 31.03 counts per volt (max. measurable is 33v). |
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370 | // This is divided by 3 --> 10.34 counts per volt. |
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371 | UBat = (3 * UBat + sensorInputs[AD_UBAT] / 3) / 4; |
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1910 | - | 372 | } |
373 | |||
2096 | - | 374 | void analog_update(void) { |
375 | analog_updateGyros(); |
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2099 | - | 376 | // analog_updateAccelerometers(); |
2106 | - | 377 | analog_updateAirspeed(); |
2096 | - | 378 | analog_updateBatteryVoltage(); |
379 | } |
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1910 | - | 380 | |
2096 | - | 381 | void analog_setNeutral() { |
382 | gyro_init(); |
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383 | |||
384 | if (gyroOffset_readFromEEProm()) { |
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385 | printf("gyro offsets invalid%s",recal); |
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2125 | - | 386 | gyroOffset.offsets[PITCH] = 0x0721-3; |
387 | gyroOffset.offsets[ROLL] = 0x0721-15; |
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388 | gyroOffset.offsets[YAW] = 0x0CD9+12; // these are practical values from my gyros :) |
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2096 | - | 389 | } |
2099 | - | 390 | |
2096 | - | 391 | // Noise is relative to offset. So, reset noise measurements when changing offsets. |
2099 | - | 392 | for (uint8_t i=PITCH; i<=YAW; i++) { |
2096 | - | 393 | gyroNoisePeak[i] = 0; |
394 | gyroD[i] = 0; |
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395 | for (uint8_t j=0; j<GYRO_D_WINDOW_LENGTH; j++) { |
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396 | gyroDWindow[i][j] = 0; |
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397 | } |
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398 | } |
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399 | // Setting offset values has an influence in the analog.c ISR |
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400 | // Therefore run measurement for 100ms to achive stable readings |
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401 | delay_ms_with_adc_measurement(100, 0); |
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1910 | - | 402 | |
2102 | - | 403 | // gyroActivity = 0; |
2096 | - | 404 | } |
1910 | - | 405 | |
2105 | - | 406 | void analog_calibrate(void) { |
2122 | - | 407 | #define OFFSET_CYCLES 120 |
2096 | - | 408 | uint8_t i, axis; |
2119 | - | 409 | int32_t offsets[4] = { 0, 0, 0, 0 }; |
2096 | - | 410 | gyro_calibrate(); |
411 | |||
2122 | - | 412 | // determine gyro bias by averaging (requires that the aircraft does not rotate around any axis!) |
2105 | - | 413 | for (i = 0; i < OFFSET_CYCLES; i++) { |
2124 | - | 414 | delay_ms_with_adc_measurement(4, 1); |
2096 | - | 415 | for (axis = PITCH; axis <= YAW; axis++) { |
416 | offsets[axis] += rawGyroValue(axis); |
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417 | } |
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2105 | - | 418 | offsets[3] += sensorInputs[AD_AIRPRESSURE]; |
2096 | - | 419 | } |
420 | |||
421 | for (axis = PITCH; axis <= YAW; axis++) { |
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2122 | - | 422 | gyroOffset.offsets[axis] = (offsets[axis] + OFFSET_CYCLES/2) / OFFSET_CYCLES; |
2099 | - | 423 | int16_t min = (512-200) * GYRO_OVERSAMPLING; |
424 | int16_t max = (512+200) * GYRO_OVERSAMPLING; |
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2096 | - | 425 | if(gyroOffset.offsets[axis] < min || gyroOffset.offsets[axis] > max) |
426 | versionInfo.hardwareErrors[0] |= FC_ERROR0_GYRO_PITCH << axis; |
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427 | } |
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1910 | - | 428 | |
2122 | - | 429 | airpressureOffset = (offsets[3] + OFFSET_CYCLES/2) / OFFSET_CYCLES; |
2105 | - | 430 | int16_t min = 200; |
2110 | - | 431 | int16_t max = 1024-200; |
2106 | - | 432 | if(airpressureOffset < min || airpressureOffset > max) |
2105 | - | 433 | versionInfo.hardwareErrors[0] |= FC_ERROR0_PRESSURE; |
434 | |||
435 | gyroOffset_writeToEEProm(); |
||
2132 | - | 436 | airpressureOffset_writeToEEProm(); |
2105 | - | 437 | |
2096 | - | 438 | startAnalogConversionCycle(); |
1910 | - | 439 | } |