vj-sim 0.3.0

//! Local variables wider than 64 bits (16.10): how a thread's frame holds one.
//!
//! A frame slot is an `Option<i64>`, so a variable of more than 64 bits occupies
//! [`LocalVarDecl::slots`] consecutive slots ([`crate::sva::ir::Automaton::new_local_var`]):
//! its value limbs, least significant first, then its unknown-plane limbs (a set
//! unknown bit is `x`, or `z` when the value bit is also set, exactly as a packed
//! four-state value). The head slot (the variable's [`LocalVarId`]) is the one
//! that says whether the variable is assigned. A limb above the declared width is
//! always zero, whatever the signedness: the sign is applied when a value is
//! extended, never stored.
//!
//! A narrow variable stays the two-state `i64` it was; the helpers here cover the
//! two operations whose meaning differs by width -- a slot-to-slot copy, which
//! also converts between types ([`copy_local`]), and the `++`/`--` of a match item
//! ([`step_local`]) -- for every mix of narrow and wide.

use super::ir::{LocalVarDecl, LocalVarId};

/// The value and unknown planes of a variable, `limbs()` words each.
type Planes = (Vec<u64>, Vec<u64>);

/// Clears the bits of `limbs` above `width`.
fn mask_top(limbs: &mut [u64], width: u32) {
    let rem = width % 64;
    if rem != 0
        && let Some(top) = limbs.last_mut()
    {
        *top &= (1u64 << rem) - 1;
    }
}

/// One plane `src` of a `from_width`-bit value fitted to `to_width` bits: truncated,
/// or extended with the plane's own top bit when `signed` (a sign bit that is `x`
/// extends as `x`) and with zeros otherwise.
fn resize_plane(src: &[u64], from_width: u32, signed: bool, to_width: u32) -> Vec<u64> {
    let to_n = (to_width as usize).div_ceil(64).max(1);
    let mut out = src.to_vec();
    out.resize(to_n.max(src.len()), 0);
    let top = from_width - 1;
    let sign_set = signed && src[(top / 64) as usize] >> (top % 64) & 1 == 1;
    if sign_set {
        let (limb, rem) = ((from_width / 64) as usize, from_width % 64);
        let mut start = limb;
        if rem != 0 {
            out[limb] |= !0u64 << rem;
            start += 1;
        }
        for w in &mut out[start..] {
            *w = !0;
        }
    }
    out.truncate(to_n);
    mask_top(&mut out, to_width);
    out
}

/// The planes of the variable at slot `at` of `frame`, or `None` while it is
/// unassigned (its head slot is). A limb slot still unassigned reads as zero: it
/// is only ever so between the writes of one assignment.
pub fn read_planes(frame: &[Option<i64>], at: LocalVarId, decl: &LocalVarDecl) -> Option<Planes> {
    let h = at.0 as usize;
    let first = frame.get(h).copied().flatten()?;
    let n = decl.limbs();
    let word = |i: usize| frame.get(h + i).copied().flatten().unwrap_or(0) as u64;
    if !decl.is_wide() {
        return Some((vec![first as u64], vec![0]));
    }
    Some((
        (0..n).map(word).collect(),
        (0..n).map(|j| word(n + j)).collect(),
    ))
}

/// Stores `planes` (already `decl.limbs()` words each, canonical above the width)
/// into the slots of the variable at `at`.
fn write_planes(frame: &mut [Option<i64>], at: LocalVarId, decl: &LocalVarDecl, planes: &Planes) {
    let (h, n) = (at.0 as usize, decl.limbs());
    for j in 0..n {
        frame[h + j] = Some(planes.0[j] as i64);
        frame[h + n + j] = Some(planes.1[j] as i64);
    }
}

/// The planes of a narrow value `v` (a slot's `i64`) of type `decl`.
fn narrow_planes(v: i64, decl: &LocalVarDecl) -> Planes {
    let mut word = [v as u64];
    mask_top(&mut word, decl.width);
    (word.to_vec(), vec![0])
}

/// `dst` takes `src`'s value, cast to `dst`'s type, or becomes unassigned when
/// `src` is (a [`crate::sva::ir::Transition::LocalVarCopy`], a flowed-out
/// variable of an end point). The value is extended by `src`'s signedness when
/// `dst` is wider and truncated when it is narrower; between two narrow
/// variables that is [`LocalVarDecl::cast`] and nothing else.
pub fn copy_local(
    dst_frame: &mut [Option<i64>],
    dst: LocalVarId,
    dst_decl: &LocalVarDecl,
    src_frame: &[Option<i64>],
    src: LocalVarId,
    src_decl: &LocalVarDecl,
) {
    let d = dst.0 as usize;
    if !src_decl.is_wide() && !dst_decl.is_wide() {
        dst_frame[d] = src_frame[src.0 as usize].map(|v| dst_decl.cast(v));
        return;
    }
    let Some((vals, unks)) = read_planes(src_frame, src, src_decl) else {
        for slot in &mut dst_frame[d..d + dst_decl.slots()] {
            *slot = None;
        }
        return;
    };
    let (vals, unks) = if src_decl.is_wide() {
        (vals, unks)
    } else {
        narrow_planes(src_frame[src.0 as usize].unwrap_or(0), src_decl)
    };
    let (from, sg, to) = (src_decl.width, src_decl.signed, dst_decl.width);
    if dst_decl.is_wide() {
        let planes = (
            resize_plane(&vals, from, sg, to),
            resize_plane(&unks, from, sg, to),
        );
        write_planes(dst_frame, dst, dst_decl, &planes);
    } else {
        dst_frame[d] = Some(dst_decl.cast(vals[0] as i64));
    }
}

/// `var` becomes `var + delta` (`x++`/`x--` of a match item, 16.11) for a WIDE
/// variable, wrapping at its width; a variable with any `x`/`z` bit becomes all
/// `x` (an arithmetic result with an unknown operand bit is unknown, 11.4.3).
/// `None` when the variable is unassigned.
pub fn step_local(
    frame: &mut [Option<i64>],
    var: LocalVarId,
    decl: &LocalVarDecl,
    delta: i64,
) -> Option<()> {
    let (vals, unks) = read_planes(frame, var, decl)?;
    let n = decl.limbs();
    let planes = if unks.iter().any(|&u| u != 0) {
        let mut all = vec![!0u64; n];
        mask_top(&mut all, decl.width);
        (vec![0; n], all)
    } else {
        let mut carry = false;
        let mut out = Vec::with_capacity(n);
        for (j, &v) in vals.iter().enumerate() {
            let add = if j == 0 {
                delta as u64
            } else if delta < 0 {
                !0
            } else {
                0
            };
            let (s, c1) = v.overflowing_add(add);
            let (s, c2) = s.overflowing_add(u64::from(carry));
            carry = c1 | c2;
            out.push(s);
        }
        mask_top(&mut out, decl.width);
        (out, vec![0; n])
    };
    write_planes(frame, var, decl, &planes);
    Some(())
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::sva::ir::Automaton;

    /// A frame for `a`, with `var` holding `vals` / `unks` limbs.
    fn frame_with(a: &Automaton, var: LocalVarId, vals: &[u64], unks: &[u64]) -> Vec<Option<i64>> {
        let mut f = vec![None; a.local_vars.len()];
        let d = *a.local_var(var);
        write_planes(&mut f, var, &d, &(vals.to_vec(), unks.to_vec()));
        f
    }

    #[test]
    fn a_wide_variable_gets_value_then_unknown_limb_slots() {
        let mut a = Automaton::empty();
        let n = a.new_local_var(8, false);
        let w = a.new_local_var(130, true);
        let m = a.new_local_var(64, false);
        assert_eq!((n.0, w.0, m.0), (0, 1, 7), "130 bits = 3 limbs = 6 slots");
        assert_eq!(a.local_vars.len(), 8);
        let d = a.local_var(w);
        assert_eq!((d.width, d.signed, d.limbs(), d.slots()), (130, true, 3, 6));
        for k in 1..6 {
            assert_eq!(
                a.local_vars[1 + k],
                LocalVarDecl {
                    width: 64,
                    signed: false
                },
                "limb slot {k} is a plain 64-bit slot"
            );
        }
    }

    #[test]
    fn a_wide_copy_extends_by_the_sources_signedness() {
        let mut a = Automaton::empty();
        let s70 = a.new_local_var(70, true);
        let u130 = a.new_local_var(130, false);
        let s130 = a.new_local_var(130, true);
        let n8 = a.new_local_var(8, true);
        // -1 as 70 bits: 64 ones, then 6 ones.
        let mut f = frame_with(&a, s70, &[!0, 0x3f], &[0, 0]);
        f.resize(a.local_vars.len(), None);
        let (d70, d130, d8) = (*a.local_var(s70), *a.local_var(u130), *a.local_var(n8));
        let src = f.clone();
        copy_local(&mut f, u130, &d130, &src, s70, &d70);
        let (v, u) = read_planes(&f, u130, &d130).unwrap();
        assert_eq!(v, [!0, !0, 3], "a signed source sign-extends into 130 bits");
        assert_eq!(u, [0, 0, 0]);
        // Unsigned 70 -> 130 zero-extends (same bits, signedness of the SOURCE decides).
        let mut b = Automaton::empty();
        let us70 = b.new_local_var(70, false);
        let ud130 = b.new_local_var(130, false);
        let (dus, dud) = (*b.local_var(us70), *b.local_var(ud130));
        let src = frame_with(&b, us70, &[!0, 0x3f], &[0, 0]);
        let mut f2 = vec![None; b.local_vars.len()];
        copy_local(&mut f2, ud130, &dud, &src, us70, &dus);
        assert_eq!(read_planes(&f2, ud130, &dud).unwrap().0, [!0, 0x3f, 0]);
        // Wide -> narrow keeps the low bits, cast to the destination.
        let src = f.clone();
        copy_local(&mut f, n8, &d8, &src, s130, a.local_var(s130));
        assert_eq!(f[n8.0 as usize], None, "an unassigned source stays so");
        let src = f.clone();
        copy_local(&mut f, n8, &d8, &src, u130, &d130);
        assert_eq!(f[n8.0 as usize], Some(-1), "0xff in a signed 8-bit slot");
        // Narrow -> wide sign-extends a signed narrow value.
        let mut g = vec![None; a.local_vars.len()];
        g[n8.0 as usize] = Some(-2);
        let src = g.clone();
        copy_local(&mut g, s70, &d70, &src, n8, &d8);
        assert_eq!(read_planes(&g, s70, &d70).unwrap().0, [!0 - 1, 0x3f]);
    }

    #[test]
    fn an_unknown_sign_bit_extends_as_unknown() {
        let mut a = Automaton::empty();
        let s70 = a.new_local_var(70, true);
        let w130 = a.new_local_var(130, false);
        // bit 69 is x (value 0, unknown 1).
        let f = frame_with(&a, s70, &[0, 0], &[0, 1 << 5]);
        let (d70, d130) = (*a.local_var(s70), *a.local_var(w130));
        let mut out = vec![None; a.local_vars.len()];
        copy_local(&mut out, w130, &d130, &f, s70, &d70);
        let (v, u) = read_planes(&out, w130, &d130).unwrap();
        assert_eq!(v, [0, 0, 0]);
        assert_eq!(u, [0, !0 << 5, 3], "bits 69..129 are x");
    }

    #[test]
    fn a_step_carries_across_limbs_and_wraps_at_the_width() {
        let mut a = Automaton::empty();
        let w = a.new_local_var(130, false);
        let d = *a.local_var(w);
        let mut f = frame_with(&a, w, &[!0, !0, 3], &[0, 0, 0]);
        step_local(&mut f, w, &d, 1).unwrap();
        assert_eq!(read_planes(&f, w, &d).unwrap().0, [0, 0, 0], "wraps to 0");
        step_local(&mut f, w, &d, -1).unwrap();
        assert_eq!(read_planes(&f, w, &d).unwrap().0, [!0, !0, 3]);
        let mut f = frame_with(&a, w, &[!0, 0, 0], &[0, 0, 0]);
        step_local(&mut f, w, &d, 1).unwrap();
        assert_eq!(read_planes(&f, w, &d).unwrap().0, [0, 1, 0], "carry");
        let mut u = vec![None; a.local_vars.len()];
        assert!(step_local(&mut u, w, &d, 1).is_none(), "unassigned");
    }

    #[test]
    fn a_step_of_a_variable_with_an_unknown_bit_is_all_x() {
        let mut a = Automaton::empty();
        let w = a.new_local_var(70, false);
        let d = *a.local_var(w);
        let mut f = frame_with(&a, w, &[5, 0], &[0, 1]);
        step_local(&mut f, w, &d, 1).unwrap();
        let (v, u) = read_planes(&f, w, &d).unwrap();
        assert_eq!((v, u), (vec![0, 0], vec![!0, 0x3f]));
    }
}