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//! Time-varying waveform definitions for voltage/current sources.
//!
//! Each waveform variant implements `evaluate(t)` returning the instantaneous
//! value at time `t`. When attached to a VoltageSource or CurrentSource via
//! `waveform: Some(w)`, the source value at each transient timestep becomes
//! `dc_offset + w.evaluate(t)` (where dc_offset is the existing `voltage`/`current` field).
use std::f64::consts::PI;
/// A time-varying waveform.
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[derive(Debug, Clone)]
#[cfg_attr(feature = "serde", serde(tag = "type"))]
pub enum Waveform {
/// Sinusoidal: amplitude * sin(2*pi*frequency*t + phase) + offset
#[cfg_attr(feature = "serde", serde(rename = "sine"))]
Sine {
amplitude: f64,
frequency: f64,
#[cfg_attr(feature = "serde", serde(default))]
offset: f64,
#[cfg_attr(feature = "serde", serde(default))]
phase: f64, // radians
},
/// SPICE-compatible pulse waveform.
#[cfg_attr(feature = "serde", serde(rename = "pulse"))]
Pulse {
v1: f64, // initial value
v2: f64, // pulsed value
#[cfg_attr(feature = "serde", serde(default))]
delay: f64, // delay before first pulse (s)
rise_time: f64, // rise time (s)
fall_time: f64, // fall time (s)
pulse_width: f64, // pulse width (s)
period: f64, // period (s)
},
/// Square wave with configurable duty cycle.
#[cfg_attr(feature = "serde", serde(rename = "square"))]
Square {
amplitude: f64,
frequency: f64,
#[cfg_attr(feature = "serde", serde(default))]
offset: f64,
#[cfg_attr(feature = "serde", serde(default = "default_duty"))]
duty: f64, // 0.0 to 1.0, default 0.5
},
/// Triangle wave.
#[cfg_attr(feature = "serde", serde(rename = "triangle"))]
Triangle {
amplitude: f64,
frequency: f64,
#[cfg_attr(feature = "serde", serde(default))]
offset: f64,
},
/// PWM (pulse width modulation) — square wave with variable duty.
#[cfg_attr(feature = "serde", serde(rename = "pwm"))]
Pwm {
amplitude: f64,
frequency: f64,
duty: f64, // 0.0 to 1.0
#[cfg_attr(feature = "serde", serde(default))]
offset: f64,
},
}
fn default_duty() -> f64 {
0.5
}
impl Waveform {
/// Evaluate the waveform at time `t` (seconds).
pub fn evaluate(&self, t: f64) -> f64 {
match self {
Waveform::Sine {
amplitude,
frequency,
offset,
phase,
} => offset + amplitude * (2.0 * PI * frequency * t + phase).sin(),
Waveform::Pulse {
v1,
v2,
delay,
rise_time,
fall_time,
pulse_width,
period,
} => {
if t < *delay {
return *v1;
}
let t_rel = (t - delay) % period;
if t_rel < *rise_time {
// Rising edge
let frac = if *rise_time > 0.0 {
t_rel / rise_time
} else {
1.0
};
v1 + (v2 - v1) * frac
} else if t_rel < rise_time + pulse_width {
// Pulse high
*v2
} else if t_rel < rise_time + pulse_width + fall_time {
// Falling edge
let frac = if *fall_time > 0.0 {
(t_rel - rise_time - pulse_width) / fall_time
} else {
1.0
};
v2 + (v1 - v2) * frac
} else {
// Pulse low
*v1
}
}
Waveform::Square {
amplitude,
frequency,
offset,
duty,
} => {
let t_rel = (t * frequency) % 1.0;
if t_rel < *duty {
offset + amplitude
} else {
offset - amplitude
}
}
Waveform::Triangle {
amplitude,
frequency,
offset,
} => {
let t_rel = (t * frequency) % 1.0;
// Rising from -amp to +amp in first half, falling in second half
let v = if t_rel < 0.5 {
-1.0 + 4.0 * t_rel
} else {
3.0 - 4.0 * t_rel
};
offset + amplitude * v
}
Waveform::Pwm {
amplitude,
frequency,
duty,
offset,
} => {
let t_rel = (t * frequency) % 1.0;
if t_rel < *duty {
offset + amplitude
} else {
*offset
}
}
}
}
/// Return the period of this waveform in seconds, if periodic.
pub fn period(&self) -> Option<f64> {
match self {
Waveform::Sine { frequency, .. } => {
if *frequency > 0.0 {
Some(1.0 / frequency)
} else {
None
}
}
Waveform::Pulse { period, .. } => Some(*period),
Waveform::Square { frequency, .. }
| Waveform::Triangle { frequency, .. }
| Waveform::Pwm { frequency, .. } => {
if *frequency > 0.0 {
Some(1.0 / frequency)
} else {
None
}
}
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use approx::assert_relative_eq;
#[test]
fn sine_at_zero() {
let w = Waveform::Sine {
amplitude: 5.0,
frequency: 1000.0,
offset: 0.0,
phase: 0.0,
};
assert_relative_eq!(w.evaluate(0.0), 0.0, epsilon = 1e-12);
}
#[test]
fn sine_at_quarter_period() {
let w = Waveform::Sine {
amplitude: 5.0,
frequency: 1000.0,
offset: 0.0,
phase: 0.0,
};
// At t = 1/(4*f) = 0.25ms, sin(pi/2) = 1.0
assert_relative_eq!(w.evaluate(0.25e-3), 5.0, epsilon = 1e-10);
}
#[test]
fn sine_with_offset_and_phase() {
let w = Waveform::Sine {
amplitude: 3.0,
frequency: 100.0,
offset: 2.0,
phase: PI / 2.0,
};
// At t=0, sin(pi/2) = 1.0 => 2.0 + 3.0 = 5.0
assert_relative_eq!(w.evaluate(0.0), 5.0, epsilon = 1e-12);
}
#[test]
fn pulse_basic() {
let w = Waveform::Pulse {
v1: 0.0,
v2: 5.0,
delay: 0.0,
rise_time: 1e-6,
fall_time: 1e-6,
pulse_width: 0.5e-3,
period: 1e-3,
};
// During pulse high (after rise, before fall)
assert_relative_eq!(w.evaluate(0.1e-3), 5.0, epsilon = 1e-10);
// During pulse low
assert_relative_eq!(w.evaluate(0.8e-3), 0.0, epsilon = 1e-10);
}
#[test]
fn pulse_with_delay() {
let w = Waveform::Pulse {
v1: 0.0,
v2: 5.0,
delay: 1e-3,
rise_time: 0.0,
fall_time: 0.0,
pulse_width: 0.5e-3,
period: 1e-3,
};
// Before delay
assert_relative_eq!(w.evaluate(0.5e-3), 0.0, epsilon = 1e-10);
}
#[test]
fn square_wave() {
let w = Waveform::Square {
amplitude: 5.0,
frequency: 1000.0,
offset: 0.0,
duty: 0.5,
};
// First half: +5V
assert_relative_eq!(w.evaluate(0.1e-3), 5.0, epsilon = 1e-10);
// Second half: -5V
assert_relative_eq!(w.evaluate(0.6e-3), -5.0, epsilon = 1e-10);
}
#[test]
fn triangle_wave() {
let w = Waveform::Triangle {
amplitude: 5.0,
frequency: 1000.0,
offset: 0.0,
};
// At t=0: start at -amplitude
assert_relative_eq!(w.evaluate(0.0), -5.0, epsilon = 1e-10);
// At t=T/4: midway up, at 0
assert_relative_eq!(w.evaluate(0.25e-3), 0.0, epsilon = 1e-10);
// At t=T/2: peak at +amplitude
assert_relative_eq!(w.evaluate(0.5e-3), 5.0, epsilon = 1e-10);
}
#[test]
fn pwm_wave() {
let w = Waveform::Pwm {
amplitude: 3.3,
frequency: 1000.0,
duty: 0.25,
offset: 0.0,
};
// First 25%: high (3.3V)
assert_relative_eq!(w.evaluate(0.1e-3), 3.3, epsilon = 1e-10);
// Remaining 75%: low (0V)
assert_relative_eq!(w.evaluate(0.5e-3), 0.0, epsilon = 1e-10);
}
#[test]
fn period_calculation() {
let sine = Waveform::Sine {
amplitude: 1.0,
frequency: 1000.0,
offset: 0.0,
phase: 0.0,
};
assert_relative_eq!(sine.period().unwrap(), 1e-3, epsilon = 1e-15);
let pulse = Waveform::Pulse {
v1: 0.0,
v2: 5.0,
delay: 0.0,
rise_time: 0.0,
fall_time: 0.0,
pulse_width: 0.5e-3,
period: 2e-3,
};
assert_relative_eq!(pulse.period().unwrap(), 2e-3, epsilon = 1e-15);
}
}