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//
// FILE: functionGenerator.cpp
// AUTHOR: Rob Tillaart
// VERSION: 0.2.1
// 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
#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)
{
float rv;
t += _phase;
if (t >= 0.0)
{
if (t >= _period) t = fmod(t, _period);
rv = _amplitude * (-1.0 + t *_freq2);
}
else
{
t = -t;
if (t >= _period) t = fmod(t, _period);
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)
{
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));
}
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