8 changed files with 469 additions and 5 deletions
@ -0,0 +1,16 @@ |
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//----------------------------------------------------------------------------------------------------------------------------
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// Project: Uppsense
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// Name: signal_processing.h
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// Author: Maximilian Stiefel
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// Date: 27.08.2017
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//
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// Description:
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//
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//----------------------------------------------------------------------------------------------------------------------------
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#ifndef APP_SIGNAL_PROCESSING_H_ |
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#define APP_SIGNAL_PROCESSING_H_ |
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const uint16_t SAMPLES = 128; |
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#endif /* APP_SIGNAL_PROCESING_H_ */ |
@ -0,0 +1,184 @@ |
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/*
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FFT libray |
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Copyright (C) 2010 Didier Longueville |
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Copyright (C) 2014 Enrique Condes |
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|
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This program is free software: you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation, either version 3 of the License, or |
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(at your option) any later version. |
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|
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This program is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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|
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You should have received a copy of the GNU General Public License |
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/ |
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#include "arduinoFFT.h" |
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arduinoFFT::arduinoFFT(void) |
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{ |
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/* Constructor */ |
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} |
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arduinoFFT::~arduinoFFT(void) |
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{ |
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/* Destructor */ |
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} |
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uint8_t arduinoFFT::Revision(void) |
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{ |
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return(FFT_LIB_REV); |
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} |
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|
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void arduinoFFT::Compute(double *vReal, double *vImag, uint16_t samples, uint8_t dir) |
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{ |
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Compute(vReal, vImag, samples, Exponent(samples), dir); |
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} |
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|
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void arduinoFFT::Compute(double *vReal, double *vImag, uint16_t samples, uint8_t power, uint8_t dir) |
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{ |
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/* Computes in-place complex-to-complex FFT */ |
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/* Reverse bits */ |
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uint16_t j = 0; |
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for (uint16_t i = 0; i < (samples - 1); i++) { |
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if (i < j) { |
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Swap(&vReal[i], &vReal[j]); |
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Swap(&vImag[i], &vImag[j]); |
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} |
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uint16_t k = (samples >> 1); |
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while (k <= j) { |
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j -= k; |
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k >>= 1; |
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} |
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j += k; |
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} |
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/* Compute the FFT */ |
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double c1 = -1.0; |
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double c2 = 0.0; |
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uint16_t l2 = 1; |
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for (uint8_t l = 0; (l < power); l++) { |
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uint16_t l1 = l2; |
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l2 <<= 1; |
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double u1 = 1.0; |
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double u2 = 0.0; |
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for (j = 0; j < l1; j++) { |
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for (uint16_t i = j; i < samples; i += l2) { |
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uint16_t i1 = i + l1; |
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double t1 = u1 * vReal[i1] - u2 * vImag[i1]; |
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double t2 = u1 * vImag[i1] + u2 * vReal[i1]; |
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vReal[i1] = vReal[i] - t1; |
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vImag[i1] = vImag[i] - t2; |
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vReal[i] += t1; |
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vImag[i] += t2; |
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} |
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double z = ((u1 * c1) - (u2 * c2)); |
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u2 = ((u1 * c2) + (u2 * c1)); |
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u1 = z; |
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} |
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c2 = sqrt((1.0 - c1) / 2.0); |
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if (dir == FFT_FORWARD) { |
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c2 = -c2; |
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} |
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c1 = sqrt((1.0 + c1) / 2.0); |
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} |
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/* Scaling for reverse transform */ |
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if (dir != FFT_FORWARD) { |
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for (uint16_t i = 0; i < samples; i++) { |
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vReal[i] /= samples; |
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vImag[i] /= samples; |
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} |
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} |
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} |
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|
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void arduinoFFT::ComplexToMagnitude(double *vReal, double *vImag, uint16_t samples) |
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{ |
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/* vM is half the size of vReal and vImag */ |
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for (uint16_t i = 0; i < samples; i++) { |
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vReal[i] = sqrt(sq(vReal[i]) + sq(vImag[i])); |
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} |
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} |
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|
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void arduinoFFT::Windowing(double *vData, uint16_t samples, uint8_t windowType, uint8_t dir) |
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{ |
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/* Weighing factors are computed once before multiple use of FFT */ |
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/* The weighing function is symetric; half the weighs are recorded */ |
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double samplesMinusOne = (double(samples) - 1.0); |
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for (uint16_t i = 0; i < (samples >> 1); i++) { |
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double indexMinusOne = double(i); |
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double ratio = (indexMinusOne / samplesMinusOne); |
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double weighingFactor = 1.0; |
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/* Compute and record weighting factor */ |
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switch (windowType) { |
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case FFT_WIN_TYP_RECTANGLE: /* rectangle (box car) */ |
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weighingFactor = 1.0; |
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break; |
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case FFT_WIN_TYP_HAMMING: /* hamming */ |
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weighingFactor = 0.54 - (0.46 * cos(twoPi * ratio)); |
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break; |
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case FFT_WIN_TYP_HANN: /* hann */ |
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weighingFactor = 0.54 * (1.0 - cos(twoPi * ratio)); |
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break; |
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case FFT_WIN_TYP_TRIANGLE: /* triangle (Bartlett) */ |
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weighingFactor = 1.0 - ((2.0 * abs(indexMinusOne - (samplesMinusOne / 2.0))) / samplesMinusOne); |
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break; |
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case FFT_WIN_TYP_BLACKMAN: /* blackmann */ |
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weighingFactor = 0.42323 - (0.49755 * (cos(twoPi * ratio))) + (0.07922 * (cos(fourPi * ratio))); |
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break; |
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case FFT_WIN_TYP_FLT_TOP: /* flat top */ |
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weighingFactor = 0.2810639 - (0.5208972 * cos(twoPi * ratio)) + (0.1980399 * cos(fourPi * ratio)); |
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break; |
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case FFT_WIN_TYP_WELCH: /* welch */ |
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weighingFactor = 1.0 - sq((indexMinusOne - samplesMinusOne / 2.0) / (samplesMinusOne / 2.0)); |
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break; |
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} |
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if (dir == FFT_FORWARD) { |
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vData[i] *= weighingFactor; |
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vData[samples - (i + 1)] *= weighingFactor; |
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} |
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else { |
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vData[i] /= weighingFactor; |
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vData[samples - (i + 1)] /= weighingFactor; |
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} |
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} |
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} |
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double arduinoFFT::MajorPeak(double *vD, uint16_t samples, double samplingFrequency) |
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{ |
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double maxY = 0; |
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uint16_t IndexOfMaxY = 0; |
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for (uint16_t i = 1; i < ((samples >> 1) - 1); i++) { |
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if ((vD[i-1] < vD[i]) && (vD[i] > vD[i+1])) { |
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if (vD[i] > maxY) { |
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maxY = vD[i]; |
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IndexOfMaxY = i; |
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} |
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} |
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} |
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double delta = 0.5 * ((vD[IndexOfMaxY-1] - vD[IndexOfMaxY+1]) / (vD[IndexOfMaxY-1] - (2.0 * vD[IndexOfMaxY]) + vD[IndexOfMaxY+1])); |
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double interpolatedX = ((IndexOfMaxY + delta) * samplingFrequency) / (samples-1); |
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/* retuned value: interpolated frequency peak apex */ |
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return(interpolatedX); |
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} |
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|
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/* Private functions */ |
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void arduinoFFT::Swap(double *x, double *y) |
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{ |
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double temp = *x; |
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*x = *y; |
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*y = temp; |
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} |
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uint8_t arduinoFFT::Exponent(uint16_t value) |
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{ |
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/* Calculates the base 2 logarithm of a value */ |
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uint8_t result = 0; |
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while (((value >> result) & 1) != 1) result++; |
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return(result); |
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} |
@ -0,0 +1,76 @@ |
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/*
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|
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FFT libray |
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Copyright (C) 2010 Didier Longueville |
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Copyright (C) 2014 Enrique Condes |
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|
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This program is free software: you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation, either version 3 of the License, or |
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(at your option) any later version. |
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|
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This program is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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|
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You should have received a copy of the GNU General Public License |
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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|
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*/ |
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#ifndef arduinoFFT_h /* Prevent loading library twice */ |
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#define arduinoFFT_h |
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#ifdef ARDUINO |
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#if ARDUINO >= 100 |
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#include "Arduino.h" |
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#else |
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#include "WProgram.h" /* This is where the standard Arduino code lies */ |
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#endif |
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#else |
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#include <stdlib.h> |
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#include <stdio.h> |
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#include <avr/io.h> |
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#include <math.h> |
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#include "defs.h" |
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#include "types.h" |
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#endif |
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#define FFT_LIB_REV 0x02c |
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/* Custom constants */ |
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#define FFT_FORWARD 0x01 |
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#define FFT_REVERSE 0x00 |
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/* Windowing type */ |
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#define FFT_WIN_TYP_RECTANGLE 0x00 /* rectangle (Box car) */ |
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#define FFT_WIN_TYP_HAMMING 0x01 /* hamming */ |
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#define FFT_WIN_TYP_HANN 0x02 /* hann */ |
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#define FFT_WIN_TYP_TRIANGLE 0x03 /* triangle (Bartlett) */ |
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#define FFT_WIN_TYP_BLACKMAN 0x04 /* blackmann */ |
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#define FFT_WIN_TYP_FLT_TOP 0x05 /* flat top */ |
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#define FFT_WIN_TYP_WELCH 0x06 /* welch */ |
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/*Mathematial constants*/ |
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#define twoPi 6.28318531 |
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#define fourPi 12.56637061 |
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class arduinoFFT { |
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public: |
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/* Constructor */ |
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arduinoFFT(void); |
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/* Destructor */ |
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~arduinoFFT(void); |
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/* Functions */ |
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void ComplexToMagnitude(double *vReal, double *vImag, uint16_t samples); |
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void Compute(double *vReal, double *vImag, uint16_t samples, uint8_t dir); |
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void Compute(double *vReal, double *vImag, uint16_t samples, uint8_t power, uint8_t dir); |
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double MajorPeak(double *vD, uint16_t samples, double samplingFrequency); |
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uint8_t Revision(void); |
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void Windowing(double *vData, uint16_t samples, uint8_t windowType, uint8_t dir); |
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uint8_t Exponent(uint16_t value); |
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private: |
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/* Functions */ |
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void Swap(double *x, double *y); |
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|
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}; |
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#endif |
@ -0,0 +1,90 @@ |
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/*! \file avrlibdefs.h \brief AVRlib global defines and macros. */ |
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//*****************************************************************************
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//
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// File Name : 'avrlibdefs.h'
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// Title : AVRlib global defines and macros include file
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// Author : Pascal Stang
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// Created : 7/12/2001
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// Revised : 9/30/2002
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// Version : 1.1
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// Target MCU : Atmel AVR series
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// Editor Tabs : 4
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//
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// Description : This include file is designed to contain items useful to all
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// code files and projects, regardless of specific implementation.
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//
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// This code is distributed under the GNU Public License
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// which can be found at http://www.gnu.org/licenses/gpl.txt
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//
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//*****************************************************************************
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#ifndef AVRLIBDEFS_H |
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#define AVRLIBDEFS_H |
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//#define F_CPU 4000000
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#define MEM_TYPE 1 |
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// Code compatibility to new AVR-libc
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// outb(), inb(), inw(), outw(), BV(), sbi(), cbi(), sei(), cli()
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#ifndef outb |
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#define outb(addr, data) addr = (data) |
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#endif |
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#ifndef inb |
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#define inb(addr) (addr) |
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#endif |
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#ifndef outw |
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#define outw(addr, data) addr = (data) |
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#endif |
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#ifndef inw |
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#define inw(addr) (addr) |
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#endif |
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#ifndef BV |
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#define BV(bit) (1<<(bit)) |
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#endif |
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//#ifndef cbi
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// #define cbi(reg,bit) reg &= ~(BV(bit))
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//#endif
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//#ifndef sbi
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// #define sbi(reg,bit) reg |= (BV(bit))
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//#endif
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#ifndef cli |
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#define cli() __asm__ __volatile__ ("cli" ::) |
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#endif |
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#ifndef sei |
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#define sei() __asm__ __volatile__ ("sei" ::) |
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#endif |
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// support for individual port pin naming in the mega128
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// see port128.h for details
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#ifdef __AVR_ATmega128__ |
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// not currently necessary due to inclusion
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// of these defines in newest AVR-GCC
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// do a quick test to see if include is needed
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#ifndef PD0 |
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//#include "port128.h"
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#endif |
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#endif |
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// use this for packed structures
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// (this is seldom necessary on an 8-bit architecture like AVR,
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// but can assist in code portability to AVR)
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#define GNUC_PACKED __attribute__((packed)) |
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// port address helpers
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#define DDR(x) ((x)-1) // address of data direction register of port x
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#define PIN(x) ((x)-2) // address of input register of port x
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// MIN/MAX/ABS macros
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#define MIN(a,b) ((a<b)?(a):(b)) |
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#define MAX(a,b) ((a>b)?(a):(b)) |
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#define ABS(x) ((x>0)?(x):(-x)) |
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// constants
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#define PI 3.14159265359 |
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//Math
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#define sq(x) ((x)*(x)) |
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#define constrain(amt,low,high) ((amt)<(low)?(low):((amt)>(high)?(high):(amt))) |
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#endif |
@ -0,0 +1,65 @@ |
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//useful things to include in code
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#ifndef TYPES_H |
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#define TYPES_H |
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#ifndef WIN32 |
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// true/false defines
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#define FALSE 0 |
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#define TRUE -1 |
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#endif |
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|
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// datatype definitions macros
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typedef unsigned char u08; |
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typedef signed char s08; |
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typedef unsigned short u16; |
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typedef signed short s16; |
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typedef unsigned long u32; |
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typedef signed long s32; |
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typedef unsigned long long u64; |
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typedef signed long long s64; |
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/* use inttypes.h instead
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// C99 standard integer type definitions
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typedef unsigned char uint8_t; |
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typedef signed char int8_t; |
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typedef unsigned short uint16_t; |
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typedef signed short int16_t; |
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typedef unsigned long uint32_t; |
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typedef signed long int32_t; |
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typedef unsigned long uint64_t; |
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typedef signed long int64_t; |
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*/ |
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// maximum value that can be held
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// by unsigned data types (8,16,32bits)
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#define MAX_U08 255 |
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#define MAX_U16 65535 |
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#define MAX_U32 4294967295 |
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|
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// maximum values that can be held
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// by signed data types (8,16,32bits)
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#define MIN_S08 -128 |
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#define MAX_S08 127 |
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#define MIN_S16 -32768 |
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#define MAX_S16 32767 |
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#define MIN_S32 -2147483648 |
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#define MAX_S32 2147483647 |
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#ifndef WIN32 |
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// more type redefinitions
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typedef unsigned char BOOL; |
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typedef unsigned char BYTE; |
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typedef unsigned int WORD; |
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typedef unsigned long DWORD; |
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|
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typedef unsigned char UCHAR; |
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typedef unsigned int UINT; |
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typedef unsigned short USHORT; |
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typedef unsigned long ULONG; |
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|
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typedef char CHAR; |
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typedef int INT; |
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typedef long LONG; |
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#endif |
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|
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#endif |
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