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//! MATHACL
//!
//! This HAL implements mathematical calculations performed by the CPU.
#![macro_use]
use embassy_hal_internal::PeripheralType;
use crate::Peri;
use crate::pac::mathacl::{Mathacl as Regs, vals};
use micromath::F32Ext;
pub enum Precision {
High = 31,
Medium = 15,
Low = 1,
}
/// Serial error
#[derive(Debug, Eq, PartialEq, Copy, Clone)]
#[cfg_attr(feature = "defmt", derive(defmt::Format))]
#[non_exhaustive]
pub enum Error {
AngleInWrongRange,
NBitsTooBig,
}
#[derive(Copy, Clone)]
pub struct Mathacl {
regs: &'static Regs,
}
impl Mathacl {
/// Mathacl initialization.
pub fn new<T: Instance>(_instance: Peri<T>) -> Self {
// Init power
T::regs().gprcm(0).rstctl().write(|w| {
w.set_resetstkyclr(vals::Resetstkyclr::CLR);
w.set_resetassert(vals::Resetassert::ASSERT);
w.set_key(vals::ResetKey::KEY);
});
// Enable power
T::regs().gprcm(0).pwren().write(|w| {
w.set_enable(true);
w.set_key(vals::PwrenKey::KEY);
});
// init delay, 16 cycles
cortex_m::asm::delay(16);
Self { regs: T::regs() }
}
/// Internal helper SINCOS function.
fn sincos(&mut self, angle: f32, precision: Precision, sin: bool) -> Result<f32, Error> {
self.regs.ctl().write(|w| {
w.set_func(vals::Func::SINCOS);
w.set_numiter(precision as u8);
});
if angle > 1.0 || angle < -1.0 {
return Err(Error::AngleInWrongRange);
}
match signed_f32_to_register(angle, 0) {
Ok(val) => self.regs.op1().write(|w| {w.set_data(val);}),
Err(er) => return Err(er),
};
// check if done
while self.regs.status().read().busy() == vals::Busy::NOTDONE {}
match sin {
true => register_to_signed_f32(self.regs.res2().read().data(), 0),
false => register_to_signed_f32(self.regs.res1().read().data(), 0),
}
}
/// Calsulates trigonometric sine operation in the range [-1,1) with a give precision.
pub fn sin(&mut self, angle: f32, precision: Precision) -> Result<f32, Error> {
self.sincos(angle, precision, true)
}
/// Calsulates trigonometric cosine operation in the range [-1,1) with a give precision.
pub fn cos(&mut self, angle: f32, precision: Precision) -> Result<f32, Error> {
self.sincos(angle, precision, false)
}
}
pub(crate) trait SealedInstance {
fn regs() -> &'static Regs;
}
/// Mathacl instance trait
#[allow(private_bounds)]
pub trait Instance: SealedInstance + PeripheralType {}
macro_rules! impl_mathacl_instance {
($instance: ident) => {
impl crate::mathacl::SealedInstance for crate::peripherals::$instance {
fn regs() -> &'static crate::pac::mathacl::Mathacl {
&crate::pac::$instance
}
}
impl crate::mathacl::Instance for crate::peripherals::$instance {}
};
}
/// Convert f32 data to understandable by M0 format.
fn signed_f32_to_register(data: f32, n_bits: u8) -> Result<u32, Error> {
let mut res: u32 = 0;
// check if negative
let negative = data < 0.0;
// absolute value for extraction
let abs = data.abs();
// total integer bit count
let total_bits = 31;
// Validate n_bits
if n_bits > 31 {
return Err(Error::NBitsTooBig);
}
// number of fractional bits
let shift = total_bits - n_bits;
// Compute masks
let (n_mask, m_mask) = if n_bits == 0 {
(0, 0x7FFFFFFF)
} else if n_bits == 31 {
(0x7FFFFFFF, 0)
} else {
((1u32 << n_bits) - 1, (1u32 << shift) - 1)
};
// calc. integer(n) & fractional(m) parts
let n = abs.floor() as u32;
let mut m = ((abs - abs.floor()) * (1u32 << shift) as f32).round() as u32;
// Handle trimming integer part
if n_bits == 0 && n > 0 {
m = 0x7FFFFFFF;
}
// calculate result
if n_bits > 0 {
res = n << shift & n_mask;
}
if shift > 0 {
res = res | m & m_mask;
}
// if negative, do 2’s compliment
if negative {
res = !res + 1;
}
Ok(res)
}
/// Reversely converts M0-register format to native f32.
fn register_to_signed_f32(data: u32, n_bits: u8) -> Result<f32, Error> {
// Validate n_bits
if n_bits > 31 {
return Err(Error::NBitsTooBig);
}
// total integer bit count
let total_bits = 31;
let negative = (data >> 31) == 1;
// number of fractional bits
let shift = total_bits - n_bits;
// Compute masks
let (n_mask, m_mask) = if n_bits == 0 {
(0, 0x7FFFFFFF)
} else if n_bits == 31 {
(0x7FFFFFFF, 0)
} else {
((1u32 << n_bits) - 1, (1u32 << shift) - 1)
};
// Compute n and m
let mut n = if n_bits == 0 {
0
} else if shift >= 32 {
data & n_mask
} else {
(data >> shift) & n_mask
};
let mut m = data & m_mask;
// if negative, do 2’s compliment
if negative {
n = !n & n_mask;
m = (!m & m_mask) + 1;
}
let mut value = (n as f32) + (m as f32) / (1u32 << shift) as f32;
if negative {
value = -value;
}
return Ok(value);
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn mathacl_convert_func_errors() {
assert_eq!(signed_f32_to_register(0.0, 32), Err(Error::NBitsTooBig));
assert_eq!(register_to_signed_f32(0, 32), Err(Error::NBitsTooBig));
}
#[test]
fn mathacl_signed_f32_to_register() {
let mut test_float = 1.0;
assert_eq!(signed_f32_to_register(test_float, 0).unwrap(), 0x7FFFFFFF);
test_float = 0.0;
assert_eq!(signed_f32_to_register(test_float, 0).unwrap(), 0x0);
test_float = -1.0;
assert_eq!(signed_f32_to_register(test_float, 0).unwrap(), 0x80000001);
}
#[test]
fn mathacl_register_to_signed_f32() {
let mut test_u32: u32 = 0x7FFFFFFF;
assert_eq!(register_to_signed_f32(test_u32, 0u8).unwrap(), 1.0);
test_u32 = 0x0;
assert_eq!(register_to_signed_f32(test_u32, 0u8).unwrap(), 0.0);
test_u32 = 0x80000001;
assert_eq!(register_to_signed_f32(test_u32, 0u8).unwrap(), -1.0);
}
}
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