#candle #programming-language #lustre #semantics #embedding #translation #programs

nightly chandeliers-sem

Semantics of Candle, a shallow embedding of Lustre in Rust

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Chandeliers-Sem

Semantics of the Candle language.


Candle

Candle is a language of macros that mimics the constructs of the Lustre programming language.

Although some examples of hand-written Candle code are provided under src/tests/impl/, Candle is not really a language designed for human use and many of its constructs range anywhere from tricky to inhuman to use.

Instead Candle's main purpose it to be a compilation target for Lustre programs, in the sense that an automated translation from Lustre to Candle should prove easy given the similarity of their structure.

Other than the example below, you can read the full specification of Candle in src/candle.rs, which because it contains all the macro definitions specifies both the syntax and the semantics of Candle.

Example: counting the number of true in the input

Specification:

  • Input: a stream of bool
  • Output: a stream of int
  • At all times, the output is the number of true seen so far in the input.

A typical Lustre implementation could look like this:

node counter(i: bool) returns (n : int);
let
  n = (0 fby n) + (if i then 1 else 0);
tel;

In Candle we would define the equivalent logic as follows:

use chandeliers_sem::macros::*;
use chandeliers_sem::traits::*;

#[allow(non_camel_case_types)]
#[derive(Default)]
pub struct counter {
    __clock: usize,
    __trace: bool,
    n: ty!(int+),
    __nodes: (),
}

impl Step for counter {
    type Input = bool;
    type Output = i64;
    pub fn step(&mut self, i: ty!(bool)) -> ty!(int) {
        node_trace!(self, "(i={}) => counter(n={})", i, self.n);
        let n = binop!(+;
            later!(self <~ 0; lit!(0), var!(self <~ 1; n)),
            ifx!((var!(self <~ 0; i)) then { lit!(1) } else { lit!(0) })
        );
        update!(self, n);
        tick!(self);
        node_trace!(self, "counter(n={}) => (n={})", self.n, self.n);
        n
    }
}

You should see immediately from this simple example that Candle is much more verbose and complex to read than Lustre, but also if one looks closer at the program then it becomes apparent that the structure of the Lustre program is very faithfully replicated in its Candle translation.

More examples (with varying degrees of explanations) are available in src/tests/impl/, in particular fib.rs implements the fibonacci sequence and counters.rs has various examples around the theme of integer counters).

Dependencies

~27KB