# Blueprint constant bind — `.bind()` a node param as a structural constant — Design Spec

**Date:** 2026-06-12
**Status:** Draft — awaiting user spec review
**Authors:** orchestrator + Claude

## Goal

Give a param-bearing node a way to fix one of its declared params to a
**structural constant** — a value removed from `param_space` entirely, not merely
pinned in the injected vector. This closes the gap named in issue #55: today a
tunable lives only as a `param_space` knob (#31), correct for **tuning params**
(values a run supplies and a sweep varies) but **wrong** for **structural
constants** (values whose variation does not yield another valid point of the
same strategy but *deforms* it into a different one). An "SMA2-entry" strategy
binds `length = 2` to its two-candle construction; sweeping that length does not
explore the strategy, it breaks it. Leaving the knob open and fixing it in the
vector would declare a degree of freedom that does not exist, and a sweep over it
would enumerate deformed strategies as valid family members.

The discriminator (from the issue):

- variation → another valid point → **tuning param** → `param_space` / vector (#31, exists)
- variation → deformed strategy → **structural constant** → bound, **not** in `param_space` (this spec)

**Scope.** This cycle ships the `.bind()` overlay only. The issue's third fork —
exporting a *named frozen strategy* (a future blueprint-as-values collection) — is
deferred and out of scope (see the issue's reconciliation comment, 2026-06-12).

## Architecture

The settled direction is **Option B: builder-level bind** (reconciliation comment,
2026-06-12 — "B was originally planned"). `.bind()` is a method on
`PrimitiveBuilder`, uniform for every param-bearing node and dynamic per knob. It
returns a `PrimitiveBuilder` whose **declared param surface** (`params()` /
`schema().params`) is shrunk by the bound slot, and whose **build closure**
(`Fn(&[Scalar]) -> Box<dyn Node>`) is wrapped to re-splice the captured constant
back into its original positional slot before delegating to the inner closure.

The load-bearing property is that **the rest of the construction layer needs zero
changes**. Both sites the issue update named as "dock sites" already key off
`builder.params()`:

- `collect_params` (`blueprint.rs:546-569`) iterates `for p in b.params()` and
  pushes one `ParamSpec` per declared param. A bound slot is gone from `params()`,
  so it is **never pushed** into `param_space` — the `param_space` side, for free.
- `lower_items` (`blueprint.rs:585-628`) takes `n = builder.params().len()`,
  slices `&params[cursor..cursor+n]`, kind-checks it, calls `builder.build(slice)`,
  and advances `cursor += n`. A bound slot shrinks `n`, so the injected slice is
  correspondingly shorter and the cursor advances correctly — the **value** side,
  for free.

This **inverts** the issue update's "docks at `collect_params` AND `lower_items`"
framing: under B those functions are read-only beneficiaries of the shrink, not
edit sites. The only real change site is the new `PrimitiveBuilder::bind` plus its
closure-wrapping.

**Addressing is by param name** (`.bind(slot: &str, value)`), matching the slot
against the node's declared `ParamSpec.name`. This follows the C23
authoring-address-space convention as amended in cycle 0032
(`check_param_namespace_injective`): the by-name *authoring* address space is
injective, while the *flat graph* stays wired by raw index (C23 unchanged). Name at
the authoring surface, index in the flat graph; `.bind()` sits on the authoring
side and resolves the name to a position immediately — the name is not persisted
into the flat graph, so C23's "names are non-load-bearing in the flat graph" holds.

`.bind()` is **not** the `builder_const(2)` per-node constructor the issue rejects
(which "explodes combinatorially — which subset is constant?"): it is one method,
naming the slot dynamically, applicable to any subset of a multi-param node.

### Precedent already in tree

`SimBroker::builder(0.0001)` (`sim_broker.rs:61-74`) already captures a
construction value with `params: vec![]`; `SimBroker::builder(0.0001).schema()
.params.is_empty()` is asserted at `sma.rs:144`. So "a value in the blueprint,
outside `param_space`" is already legitimate — but only for nodes that offer no
sweep mode at all. `.bind()` extends exactly that posture to **param-bearing**
nodes (`Sma`, `Exposure`, `LinComb`), which today have no constant path.

## Concrete code shapes

### Worked author example (the empirical evidence for the acceptance criterion)

```rust
use aura_core::Scalar;
use aura_std::Sma;

// "SMA2-entry": the 2 is structural (bound to the two-candle construction),
// not a tuning knob. Binding removes `length` from param_space entirely.
let sma2 = Sma::builder().named("bias").bind("length", Scalar::I64(2));
assert!(sma2.params().is_empty());            // length is GONE, not just fixed

// Contrast — the length-generic SMA keeps `length` open → still sweepable:
let sma_generic = Sma::builder().named("bias");
assert_eq!(sma_generic.params().len(), 1);    // [length]
```

At the harness level, a strategy whose one node is a bound constant contributes
nothing to the sweep's `param_space`, so the sweep family contains only valid
points — never deformed ones:

```rust
// "sma2_entry" composite: bound `bias.length` is absent from param_space;
// only `exp.scale` remains as the harness's open knob.
let strat = Composite::new(
    "sma2_entry",
    vec![
        Sma::builder().named("bias").bind("length", Scalar::I64(2)).into(),
        Exposure::builder().named("exp").into(),     // scale stays open
    ],
    edges, roles, output,
);
// param_space() on the root composite qualifies each leaf by its OWN node
// segment, not by the root composite's name (collect_params is called with an
// empty prefix; the root name is not a path segment) — so `exp.scale`, not
// `sma2_entry.exp.scale`. The load-bearing point holds either way: the bound
// `bias.length` is gone. (Nesting `strat` into a larger harness would prefix
// the leaves further, but the bound knob stays absent.)
assert_eq!(
    strat.param_space().iter().map(|p| p.name.as_str()).collect::<Vec<_>>(),
    ["exp.scale"],                                    // bias.length is gone
);
```

### Implementation shape (secondary) — `PrimitiveBuilder::bind`

The build closure type is unchanged (`Fn(&[Scalar]) -> Box<dyn Node>`). `bind`
shrinks `schema.params` and wraps the closure; `Scalar` is `Copy`
(`scalar.rs:20`) so the captured constant re-splices on every call.

before — `PrimitiveBuilder` today (`node.rs:77-130`): `params()` returns
`&self.schema.params`; `build()` calls `(self.build)(params)`.

after — add one method:

```rust
// aura-core/src/node.rs — new method on PrimitiveBuilder
impl PrimitiveBuilder {
    /// Bind a declared param `slot` to a structural constant, removing it from the
    /// node's param surface (`params()` / `schema().params` / the aggregated
    /// `param_space`). Authoring-time: `slot` names the param (the by-name
    /// authoring address space, C23/0032) and must match **exactly one** still-open
    /// param — bind panics on zero matches (unknown / already-bound name) and on
    /// more than one (an ambiguous duplicate-named slot); `value`'s kind must match
    /// the slot's declared `ParamSpec.kind`. Returns `Self` so binds chain
    /// (`.bind(..).bind(..)`).
    pub fn bind(mut self, slot: &str, value: Scalar) -> Self {
        // Enforce the "exactly one" precondition rather than assume it: a node's
        // own `schema.params` is NOT covered by `check_param_namespace_injective`
        // (that guards only the aggregated path-qualified space, after `.bind()`),
        // so per-node name uniqueness is not pinned elsewhere. Mirror the
        // collect-all-then-reject posture of the `resolve` binder (blueprint.rs).
        let matches: Vec<usize> = self
            .schema
            .params
            .iter()
            .enumerate()
            .filter(|(_, p)| p.name == slot)
            .map(|(i, _)| i)
            .collect();
        let pos = match matches.as_slice() {
            [pos] => *pos,
            [] => panic!("bind: no open param named `{slot}`"),
            _ => panic!("bind: ambiguous — multiple open params named `{slot}`"),
        };
        assert_eq!(
            value.kind(),
            self.schema.params[pos].kind,
            "bind: kind mismatch for param `{slot}`",
        );
        self.schema.params.remove(pos);          // [param_space side] shrink the declared surface
        let inner = self.build;                  // [value side] wrap the build closure
        self.build = Box::new(move |open: &[Scalar]| {
            let mut full = open.to_vec();
            full.insert(pos, value);             // re-splice at the slot's original position
            inner(&full)
        });
        self
    }
}
```

### Why chaining is positionally correct (the load-bearing invariant)

Each `.bind()` captures `pos` **relative to the param list it sees**, which is
exactly the inner closure's input space. The inserts compose without any global
original-position table. For a node declaring `[a, b, c]` with
`inner(p) = Node::new(p[0], p[1], p[2])`:

```rust
// .bind("b", X): pos("b" in [a,b,c]) = 1 → params [a,c]
//   wrap1(open) = inner( open.insert(1, X) )
// .bind("a", Y): pos("a" in [a,c])   = 0 → params [c]
//   wrap2(open) = wrap1( open.insert(0, Y) )
//
// at build time lower_items hands the open slice in params() order = [v_c]:
//   wrap2([v_c]) = wrap1([Y, v_c]) = inner([Y, X, v_c])   // full 3-vector, right order
```

The internal representation choice — closure-nesting (this fold of single inserts)
vs a splice-table held as data on the builder (`Vec<(pos, value)>`, one merge
pass) — is behaviourally equivalent and left to the implementer; it is not a
design fork.

## Components

- **`aura-core/src/node.rs` — `PrimitiveBuilder::bind`** (new): the only
  production change. Shrinks `schema.params`, wraps `build`. Validates slot
  existence and value kind eagerly (authoring-time panic, consistent with
  `Sma::new`'s `assert!`).
- **`aura-engine/src/blueprint.rs` — `collect_params`, `lower_items`,
  `Composite::param_space`, `compile_with_params`**: **unchanged**. They already
  key off `builder.params()`; the shrink propagates transparently. (Listed as
  components only to make the zero-change claim explicit and testable.)
- **`aura-std`** nodes (`Sma`, `Exposure`, `LinComb`): **unchanged**. Their
  builders already declare params and build through their constructors; `.bind()`
  composes over them without per-node code.

## Data flow

Authoring: `Node::builder()` → `.bind(name, value)` resolves `name → pos`,
removes the `ParamSpec`, wraps the closure capturing `(pos, value)`. The returned
builder has a smaller `params()`.

Construction (unchanged): `Composite::param_space()` → `collect_params` iterates
`builder.params()` (bound slot absent) → aggregated path-qualified space omits the
bound knob. `compile_with_params(params)` checks arity against the (shrunk)
`param_space`, then `lower_items` slices `n = builder.params().len()` open values
and calls `builder.build(open_slice)`; the wrapped closure reconstructs the full
positional vector and delegates to the node constructor. The flat graph is wired by
raw index exactly as before (C23).

## Error handling

All `.bind()` validation is authoring-time and eager, by hard panic (the builder
chain returns `Self`, so a `Result` would break `.bind(..).bind(..)`; panics match
the existing `Sma::new` / `LinComb::new` `assert!` posture for authoring bugs):

- **Unknown slot name** (typo, or a name already bound and thus gone): panic
  `bind: no open param named \`<slot>\``.
- **Ambiguous slot name** (a node declaring two params of the same name — not
  pinned out elsewhere, since `check_param_namespace_injective` guards only the
  *aggregated* path-qualified space, after bind): panic
  `bind: ambiguous — multiple open params named \`<slot>\``. `.bind()` enforces
  the "exactly one match" precondition itself (collect-all-then-reject), so the
  docstring contract and the code agree.
- **Kind mismatch** (value kind ≠ declared `ParamSpec.kind`): panic
  `bind: kind mismatch for param \`<slot>\``. This preserves the kind guarantee
  that `lower_items`' per-slice check (`blueprint.rs:599-607`) gives injected
  params — moved to bind time for bound slots, which bypass that check.
- **Binding every param**: leaves `params().is_empty()` — a fully constant
  param-bearing node, structurally identical to the `SimBroker` precedent. Valid.

## Testing strategy

New tests (the GREEN target for `implement`), co-located with the builder /
nodes:

1. **`bind_removes_slot_from_param_space`** — `Sma::builder().bind("length",
   Scalar::I64(2)).schema().params.is_empty()`. Parity with the `SimBroker`
   precedent (`sma.rs:144`): a bound param-bearing node now reports an empty param
   surface just like a param-less node.
2. **`bound_node_builds_with_injected_value`** — the bound builder, built with an
   empty open slice, yields a node behaving as if the value were injected:
   `Sma::builder().bind("length", Scalar::I64(2)).build(&[]).label() == "SMA(2)"`.
3. **`chained_bind_reconstructs_positional_vector`** — the load-bearing invariant.
   On `LinComb::builder(2)` (params `weights[0]`, `weights[1]`), bind the two
   slots to **distinct** values in either order, build, and assert via `eval` that
   each value landed in its correct positional slot (`Σ weights[i]·input[i]`
   computes with the right coefficients). Also bind only `weights[0]`, leave
   `weights[1]` open, build with one injected value, and assert the open value
   lands in slot 1.
4. **`param_space_reflects_only_open_knobs`** — a `Composite` with a bound node:
   `param_space()` omits the bound slot's path-qualified name and keeps the open
   ones (the harness-level assertion from the worked example).
5. **`bind_unknown_slot_panics`** / **`bind_ambiguous_slot_panics`** /
   **`bind_kind_mismatch_panics`** — `#[should_panic]` on a typo'd name, on a
   duplicate-named slot (a builder hand-constructed with two same-named
   `ParamSpec`s), and on a wrong-kind value.

Grounding (current-behaviour assumptions the spec rests on, each ratified by a
currently-green test):

- Each node declares its params by name pre-build → green:
  `nodes_declare_expected_params` (`sma.rs:123`).
- `param_space` aggregates those declared params into a flat, path-qualified
  space (top-level leaf qualified by its own node segment, not the root name) →
  green: `param_space_is_flat_path_qualified_and_slot_disambiguated` and
  `param_space_mirrors_compiled_flat_node_param_order` (`blueprint.rs`).
- `lower_items` keys arity / slice / cursor off `builder.params().len()` → green:
  `wrong_arity_is_a_param_arity_error` (`blueprint.rs`).
- A construction value can sit outside `param_space` → green:
  `SimBroker::builder(0.0001).schema().params.is_empty()` (`sma.rs:144`).

## Acceptance criteria

- A strategy author can write `Node::builder().bind("param", value)` for any
  param-bearing node and get a builder whose `param_space` no longer contains that
  param, while the node still constructs with the bound value (the worked author
  example compiles and its assertions hold).
- A `Composite` containing a bound node reports a `param_space` that omits the
  bound knob, so a sweep over the harness enumerates only valid points — never a
  deformed strategy (criterion: measurably removes a class of invalid sweep
  members the issue identifies as *wrong*).
- The construction layer (`collect_params`, `lower_items`, `param_space`,
  `compile_with_params`) is unmodified; the only production change is
  `PrimitiveBuilder::bind`.
- Chained and single binds reconstruct the correct positional argument vector for
  multi-param nodes (invariant test 3 green).
- C23 holds: the flat graph is still wired by raw index; bound param names are
  resolved to positions at authoring time and never reach the flat graph.
- No new dependency (C16); no node registry or by-name runtime lookup (C9/C10).
