mirror of
https://github.com/RobTillaart/Arduino.git
synced 2024-09-20 00:55:58 -04:00
341 lines
7.0 KiB
C++
341 lines
7.0 KiB
C++
//
|
|
// FILE: functionGenerator.cpp
|
|
// AUTHOR: Rob Tillaart
|
|
// VERSION: 0.2.3
|
|
// PURPOSE: wave form generating functions (use with care)
|
|
// URL: https://github.com/RobTillaart/FunctionGenerator
|
|
//
|
|
// HISTORY:
|
|
// 0.1.00 2015-01-01 initial version
|
|
// 0.1.01 2015-01-01 initial class version
|
|
// 0.1.02 2015-01-01 refactor and research
|
|
// 0.1.03 2015-01-02 added stair, more refactoring
|
|
// 0.1.04 2015-01-03 added integer versions - to be used with 8 bit DAC
|
|
// 0.1.5 2017-07-29 Fix issue #33 (dbl -> float)
|
|
// 0.2.0 2020-06-10 main refactoring and cleanup
|
|
// 0.2.1 2020-12-24 Arduino-CI + unit tests
|
|
// 0.2.2 2021-11-02 update Arduino-CI, badges
|
|
// add mode for sawtooth and stair.
|
|
// 0.2.3 2021-12-18 update library.json, license, minor edits
|
|
|
|
|
|
#include "functionGenerator.h"
|
|
|
|
|
|
funcgen::funcgen(float period, float amplitude, float phase, float yShift)
|
|
{
|
|
setPeriod(period);
|
|
setAmplitude(amplitude);
|
|
setPhase(phase);
|
|
setYShift(yShift);
|
|
}
|
|
|
|
|
|
void funcgen::setPeriod(float period)
|
|
{
|
|
_period = period;
|
|
_freq1 = 1 / period;
|
|
_freq2 = 2 * _freq1;
|
|
_freq4 = 4 * _freq1;
|
|
_freq0 = TWO_PI * _freq1;
|
|
}
|
|
|
|
|
|
float funcgen::line()
|
|
{
|
|
return _yShift + _amplitude;
|
|
}
|
|
|
|
|
|
float funcgen::zero()
|
|
{
|
|
return 0;
|
|
}
|
|
|
|
|
|
float funcgen::sawtooth(float t, uint8_t mode)
|
|
{
|
|
float rv;
|
|
t += _phase;
|
|
if (t >= 0.0)
|
|
{
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if (mode == 1) t = _period - t;
|
|
rv = _amplitude * (-1.0 + t *_freq2);
|
|
}
|
|
else
|
|
{
|
|
t = -t;
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if (mode == 1) t = _period - t;
|
|
rv = _amplitude * ( 1.0 - t * _freq2);
|
|
}
|
|
rv += _yShift;
|
|
return rv;
|
|
}
|
|
|
|
|
|
float funcgen::triangle(float t)
|
|
{
|
|
float rv;
|
|
t += _phase;
|
|
if (t < 0.0)
|
|
{
|
|
t = -t;
|
|
}
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if ( t * 2 < _period)
|
|
{
|
|
rv = _amplitude * (-1.0 + t * _freq4);
|
|
}
|
|
else
|
|
{
|
|
rv = _amplitude * (3.0 - t * _freq4);
|
|
}
|
|
rv += _yShift;
|
|
return rv;
|
|
}
|
|
|
|
|
|
float funcgen::square(float t)
|
|
{
|
|
float rv;
|
|
t += _phase;
|
|
if (t >= 0)
|
|
{
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if ((t + t) < _period) rv = _amplitude;
|
|
else rv = -_amplitude;
|
|
}
|
|
else
|
|
{
|
|
t = -t;
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if ( t * 2 < _period) rv = -_amplitude;
|
|
else rv = _amplitude;
|
|
}
|
|
rv += _yShift;
|
|
return rv;
|
|
}
|
|
|
|
|
|
float funcgen::sinus(float t)
|
|
{
|
|
float rv;
|
|
t += _phase;
|
|
rv = _amplitude * sin(t * _freq0);
|
|
rv += _yShift;
|
|
return rv;
|
|
}
|
|
|
|
|
|
float funcgen::stair(float t, uint16_t steps, uint8_t mode)
|
|
{
|
|
t += _phase;
|
|
if (t >= 0)
|
|
{
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if (mode == 1) t = _period - t;
|
|
int level = steps * t / _period;
|
|
return _yShift + _amplitude * (-1.0 + 2.0 * level / (steps - 1));
|
|
}
|
|
t = -t;
|
|
if (t >= _period) t = fmod(t, _period);
|
|
if (mode == 1) t = _period - t;
|
|
int level = steps * t / _period;
|
|
return _yShift + _amplitude * (1.0 - 2.0 * level / (steps - 1));
|
|
}
|
|
|
|
|
|
float funcgen::random()
|
|
{
|
|
// TODO smart reseed needed
|
|
float rv = _yShift + _amplitude * _random() * 0.2328306436E-9; // div 0xFFFFFFFF
|
|
return rv;
|
|
}
|
|
|
|
|
|
// An example of a simple pseudo-random number generator is the
|
|
// Multiply-with-carry method invented by George Marsaglia.
|
|
// two initializers (not null)
|
|
uint32_t funcgen::_random()
|
|
{
|
|
_m_z = 36969L * (_m_z & 65535L) + (_m_z >> 16);
|
|
_m_w = 18000L * (_m_w & 65535L) + (_m_w >> 16);
|
|
return (_m_z << 16) + _m_w; /* 32-bit result */
|
|
}
|
|
|
|
|
|
//
|
|
// INTEGER VERSIONS FOR 8 BIT DAC
|
|
//
|
|
// 8 bits version
|
|
// t = 0..9999 period 10000 in millis, returns 0..255
|
|
|
|
/*
|
|
|
|
uint8_t ifgsaw(uint16_t t, uint16_t period = 1000)
|
|
{
|
|
return 255L * t / period;
|
|
}
|
|
|
|
|
|
uint8_t ifgtri(uint16_t t, uint16_t period = 1000)
|
|
{
|
|
if (t * 2 < period) return 510L * t / period;
|
|
return 255L - 510L * t / period;
|
|
}
|
|
|
|
|
|
uint8_t ifgsqr(uint16_t t, uint16_t period = 1000)
|
|
{
|
|
if (t * 2 < period) return 510L * t / period;
|
|
return 255L - 510L * t / period;
|
|
}
|
|
|
|
|
|
uint8_t ifgsin(uint16_t t, uint16_t period = 1000)
|
|
{
|
|
return sin(355L * t / period / 113); // LUT
|
|
}
|
|
|
|
|
|
uint8_t ifgstr(uint16_t t, uint16_t period = 1000, uint16_t steps = 8)
|
|
{
|
|
int level = 1L * steps * t / period;
|
|
return 255L * level / (steps - 1);
|
|
}
|
|
|
|
*/
|
|
|
|
|
|
//
|
|
// SIMPLE float ONES
|
|
//
|
|
// t = 0..period
|
|
// period = 0.001 ... 10000 ?
|
|
/*
|
|
|
|
float fgsaw(float t, float period = 1.0)
|
|
{
|
|
if (t >= 0) return -1.0 + 2 * t / period;
|
|
return 1.0 + 2 * t / period;
|
|
}
|
|
|
|
|
|
float fgtri(float t, float period = 1.0)
|
|
{
|
|
if (t < 0) t = -t;
|
|
if (t * 2 < period) return -1.0 + 4 * t / period;
|
|
return 3.0 - 4 * t / period;
|
|
}
|
|
|
|
|
|
float fgsqr(float t, float period = 1.0)
|
|
{
|
|
if (t >= 0)
|
|
{
|
|
if ( 2 * t < period) return 1.0;
|
|
return -1.0;
|
|
}
|
|
t = -t;
|
|
if (2 * t < period) return -1.0;
|
|
return 1.0;
|
|
}
|
|
|
|
|
|
float fgsin(float t, float period = 1.0)
|
|
{
|
|
return sin(TWO_PI * t / period);
|
|
}
|
|
|
|
|
|
float fgstr(float t, float period = 1.0, uint16_t steps = 8)
|
|
{
|
|
if (t >= 0)
|
|
{
|
|
int level = steps * t / period;
|
|
return -1.0 + 2.0 * level / (steps - 1);
|
|
}
|
|
t = -t;
|
|
int level = steps * t / period;
|
|
return 1.0 - 2.0 * level / (steps - 1);
|
|
}
|
|
|
|
*/
|
|
|
|
|
|
//
|
|
// FULL floatS ONES
|
|
//
|
|
float fgsaw(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0)
|
|
{
|
|
t += phase;
|
|
if (t >= 0)
|
|
{
|
|
if (t >= period) t = fmod(t, period);
|
|
return yShift + amplitude * (-1.0 + 2 * t / period);
|
|
}
|
|
t = -t;
|
|
if (t >= period) t = fmod(t, period);
|
|
return yShift + amplitude * ( 1.0 - 2 * t / period);
|
|
}
|
|
|
|
|
|
float fgtri(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, float dutyCycle = 0.50)
|
|
{
|
|
t += phase;
|
|
if (t < 0) t = -t;
|
|
if (t >= period) t = fmod(t, period);
|
|
// 50 % dutyCycle = faster
|
|
// if (t * 2 < period) return yShift + amplitude * (-1.0 + 4 * t / period);
|
|
// return yShift + amplitude * (3.0 - 4 * t / period);
|
|
if (t < dutyCycle * period) return yShift + amplitude * (-1.0 + 2 * t / (dutyCycle * period));
|
|
// return yShift + amplitude * (-1.0 + 2 / (1 - dutyCycle) - 2 * t / ((1 - dutyCycle) * period));
|
|
return yShift + amplitude * (-1.0 + 2 / (1 - dutyCycle) * ( 1 - t / period));
|
|
}
|
|
|
|
|
|
float fgsqr(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, float dutyCycle = 0.50)
|
|
{
|
|
t += phase;
|
|
if (t >= 0)
|
|
{
|
|
if (t >= period) t = fmod(t, period);
|
|
if (t < dutyCycle * period) return yShift + amplitude;
|
|
return yShift - amplitude;
|
|
}
|
|
t = -t;
|
|
if (t >= period) t = fmod(t, period);
|
|
if (t < dutyCycle * period) return yShift - amplitude;
|
|
return yShift + amplitude;
|
|
}
|
|
|
|
|
|
float fgsin(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0)
|
|
{
|
|
t += phase;
|
|
float rv = yShift + amplitude * sin(TWO_PI * t / period);
|
|
return rv;
|
|
}
|
|
|
|
|
|
float fgstr(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, uint16_t steps = 8)
|
|
{
|
|
t += phase;
|
|
if (t >= 0)
|
|
{
|
|
if (t >= period) t = fmod(t, period);
|
|
int level = steps * t / period;
|
|
return yShift + amplitude * (-1.0 + 2.0 * level / (steps - 1));
|
|
}
|
|
t = -t;
|
|
if (t >= period) t = fmod(t, period);
|
|
int level = steps * t / period;
|
|
return yShift + amplitude * (1.0 - 2.0 * level / (steps - 1));
|
|
}
|
|
|
|
|
|
// -- END OF FILE --
|
|
|