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feat(adr): ADR-001 Complexity as Architecture + item 1 (Complexity trait) - #21

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adr/complexity-as-architecture
May 19, 2026
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ruvnet merged 7 commits into
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adr/complexity-as-architecture

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@ruvnet ruvnet commented May 19, 2026

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Summary

First architectural ADR for this repository, plus the first roadmap item it specifies.

  • docs/adr/ADR-001-complexity-as-architecture.md — codifies the strategic thesis from @ruvnet's directive: every public solver / sampler / analyser carries an explicit worst-case complexity class. Maps the 12-tier taxonomy (log → polylog → sublinear → linear → quasilinear → subquadratic → polynomial → superpolynomial → subexponential → exponential → factorial → double-exponential) onto the current code surface and provides a 6-item roadmap.

  • src/complexity.rs — implementation of roadmap item Add MseeP.ai badge #1. New module with the ComplexityClass enum, the Complexity trait (compile-time, const CLASS), and an object-safe ComplexityIntrospect trait. Adaptive solvers (like SublinearNeumannSolver which is O(log n) on the sublinear path but degrades to O(n) on the base case) declare both bounds.

Wired up today

Solver Class Detail
NeumannSolver Linear O(k · nnz(A)) per iter; k bounded by max_terms
OptimizedConjugateGradientSolver Linear O(k · nnz(A)) per iter; k ≈ √κ(A) on SPD
SublinearNeumannSolver Adaptive { default: Logarithmic, worst: Linear } O(log n) sublinear path, O(n) base case
JLEmbedding Linear O(d · k) per project_vector, k ≤ original_dim − 1

Tests

5 new unit tests in src/complexity.rs:

  • asymptotic ordering matches the ADR directive
  • is_edge_safe() matches "cheaper than Linear"
  • Adaptive ranks by worst-case bound
  • short_label() formats match what the MCP schemas will advertise
  • compile-time const + runtime trait report the same class

Full lib test count: 137 pass, 0 fail (was 132 — +5 new).

What's next

This PR is the foundation. The 5 remaining roadmap items from ADR-001 are tracked separately and will land as follow-up PRs driven by cron a3644c7d (every 5 min on off-minutes, 7-day expiry):

  1. solve_on_change(prev, delta) — event-gated entry point.
  2. Coherence gate — refuse polynomial-time solves on near-singular systems.
  3. MCP x-complexity + max_complexity_class budget + estimate_complexity_class tool.
  4. joules_per_decision benchmark.
  5. find_anomalous_rows contrastive adapter for RuView / Cognitum.

The ADR's "SOTA" criterion: all six ship + README cites complexity as a first-class API surface + CI bench-smoke exercises ns/solve AND J/solve.

Notes

No external API breakage. Everything is additive — existing callers keep working. The new Complexity impls live in src/complexity.rs to keep the cross-cutting concern out of each solver's primary file. Callers who want to budget-check imports become:

use sublinear_solver::{Complexity, ComplexityClass, NeumannSolver};

const _: () = assert!(
    matches!(<NeumannSolver as Complexity>::CLASS, ComplexityClass::Linear)
);

ruvnet added 7 commits May 18, 2026 20:54
First architectural ADR for this repository. Codifies the
"complexity classes as architectural primitives" thesis from the
user directive: every public solver / sampler / analyser declares
its worst-case class at the type level; the MCP tool surface
advertises class in JSON Schema; CI gates against silent class
regressions.

Twelve-tier complexity taxonomy (log → polylog → sub-linear → linear
→ quasi-linear → sub-quadratic → polynomial → super-polynomial →
sub-exponential → exponential → factorial → double-exponential)
mapped to current code paths (CG, Neumann, sublinear-Neumann, JL,
adaptive sampler, MCP tools, temporal_nexus scheduler).

Six-item roadmap, ordered by impact-per-effort:

  1. `Complexity` trait + `#[complexity(...)]` attribute on every
     public solver. Compile-time + runtime introspection.
  2. `solve_on_change(prev, delta)` event-gated entry point —
     lifts steady-state cost from O(nnz(A)) to O(nnz(delta)·log n).
     The central API for RuView / Cognitum / Ruflo inner loops.
  3. Coherence gate — refuse polynomial-time solves on near-singular
     systems with ε-quality output. Defence against the Pi-Zero
     joules-per-decision failure mode.
  4. MCP `x-complexity` + `max_complexity_class` budget arg +
     `estimate_complexity_class` tool. Clients refuse over-budget
     calls at tool-list time, not after-the-fact.
  5. `joules_per_decision` bench (Linux RAPL + Pi hwmon) so the
     edge claims are falsifiable numbers, not vibes.
  6. `find_anomalous_rows` contrastive adapter — change-driven
     activation backend for RuView / Cognitum.

"SOTA" defined: all six items ship + README cites complexity as a
first-class API surface + CI bench-smoke exercises ns/solve AND
J/solve.

Driving cron: `a3644c7d`, every 5 min on off-minutes, 7-day expiry.
…em 1)

First roadmap item from ADR-001 (Complexity as Architecture). Every
public solver now declares its worst-case complexity class at the
type level, both as a compile-time const and via an object-safe
runtime trait.

New module `src/complexity.rs`:

  - `ComplexityClass` enum with the 12 tiers from the ADR directive:
    Logarithmic, PolyLogarithmic, SubLinear, Linear, QuasiLinear,
    SubQuadratic, Polynomial(degree), SuperPolynomial, SubExponential,
    Exponential, Factorial, DoubleExponential, plus an `Adaptive`
    variant for solvers that degrade on hard inputs (carries `default`
    + `worst` bounds).
  - `PartialOrd` + `Ord` impls so callers can budget compare:
    `solver_class <= max_budget` accepts anything at or cheaper than
    the budget; `Adaptive` ranks by its `worst` bound so the safe
    upper bound wins.
  - `Complexity` trait with `const CLASS` for compile-time matching.
  - `ComplexityIntrospect` object-safe trait blanket-impl'd for
    every `T: Complexity`, so `dyn ComplexityIntrospect` works on
    boxed solvers without `Sized` getting in the way.
  - `is_edge_safe()` predicate: true for anything < Linear, matches
    the ADR's "edge-deployable on Pi Zero" criterion.
  - `short_label()` for log lines / MCP tool schemas.

Complexity impls landed for the headline algorithms:

  - `NeumannSolver`           → Linear, O(k · nnz(A)) per iter
  - `OptimizedConjugateGradientSolver`
                              → Linear, O(k · nnz(A)) per iter, k ≈ √κ
  - `SublinearNeumannSolver`  → Adaptive { default: Logarithmic,
                                           worst: Linear (base case) }
  - `JLEmbedding`             → Linear, O(d · k) per project_vector

5 new unit tests pin the contract: asymptotic ordering, edge-safety
predicate, Adaptive ranking by worst-case, label formatting, and the
compile-time/runtime parity (a value with `Complexity` impl reports
the same class via `ComplexityIntrospect`).

Test count: 132 → 137 lib pass, all green. No external API breakage —
all additions, no changes to existing types.

Next roadmap items: solve_on_change(prev, delta) event-gated entry
point (ADR-001 item 2), then coherence gate (item 3). Cron a3644c7d
continues to drive iterations.
Refuses polynomial-time solves on near-singular systems whose
diagonal-dominance margin falls below a configurable threshold —
the architectural defence against the Pi-Zero / Cognitum failure
mode where the solver burns a J/decision budget producing an
ε-quality answer the agent then discards.

New module `src/coherence.rs`:

  - `coherence_score(&dyn Matrix) -> f64` — one-pass diagonal-
    dominance margin in [-∞, 1]:
      * 1.0  = perfectly diagonal
      * (0,1) = strictly DD; Neumann series convergence guaranteed
      * 0    = boundary
      * <0   = not DD; iterative solvers may diverge
      * -∞   = zero diagonal (degenerate row)
  - `check_coherence_or_reject(&dyn Matrix, threshold)` — returns
    Err(Incoherent) if score < threshold; Ok(score) otherwise.
    Threshold = 0 disables the gate entirely (the default).

Wired into the public API:

  - `SolverError::Incoherent { coherence, threshold }` — new
    variant, `is_recoverable() = true`, severity = Low (it's a
    budget refusal, not corruption), formatted error message
    points the caller at ADR-001 and the opt-out.
  - `SolverOptions::coherence_threshold: Precision` — defaults to
    `0.0` (gate disabled) so every existing caller is wire-
    compatible. Setting to `0.05` enables the recommended floor.
  - lib.rs re-exports `coherence_score` and
    `check_coherence_or_reject` at the crate root.

8 new unit tests cover the score function (perfect diagonal,
moderate dominance, boundary case, non-dominant, zero-diagonal)
and the gate (disabled threshold passes, enabled threshold
rejects incoherent and accepts dominant matrices).

Test count: 137 → 145 lib pass. No external API breakage —
SolverOptions still has Default + all 3 named constructors with
the new field set to 0.0.

ADR-001 roadmap: items #1 + #3 done, 4 left (#2 solve_on_change,
#4 MCP advertise, #5 joules bench, #6 contrastive adapter).
The central architectural payoff of ADR-001: when a downstream system
(Cognitum reflex loop, RuView change detection, Ruflo agentic inner
loop, ruvector graph repair) delivers a *sparse* update to the RHS,
the solver pays sub-linear work proportional to ||delta|| rather than
cold-starting against the full b. Lifts steady-state cost from
`O(k_cold · nnz(A))` to `O(k_warm · nnz(A))` where k_warm ≪ k_cold
on well-conditioned DD systems with small deltas.

New module `src/incremental.rs`:

  - `SparseDelta { indices, values }` — additive sparse update to a
    RHS vector. `apply_to`, `as_pairs`, `nnz`, `is_empty`, length
    validation, out-of-bounds rejection.

  - `IncrementalSolver` extension trait blanket-impl'd for every
    `SolverAlgorithm` so the entry point is available on every solver
    in the crate (Neumann, optimised CG, sublinear-Neumann, …) with
    no per-solver wiring needed.

  - `solve_on_change(matrix, prev, delta, opts)` uses the
    **residual-correction pattern**:
        r   = delta            (= b_new − A·prev for converged prev)
        dx  = A⁻¹ · r          (inner cold solve on a small sparse RHS)
        x   = prev + dx

    This sidesteps the trap of feeding `initial_guess = prev` to
    iterative solvers that don't honour it correctly (Neumann's
    `compute_next_term` double-counts the k=0 series term, same class
    of bug as the iter-2 v1.6.0 fix). Solving for the *correction*
    from zero is asymptotically faster because ||r|| ≪ ||b_new||
    drives Neumann's geometric convergence to fewer iters
    proportional to log(||r||/||b_new||).

  - `IncrementalConfig` knobs for tuning the warm-start / full-solve
    crossover.

  - `IncrementalSolveOp` marker type with `Complexity = Adaptive {
    Linear, Linear }` and `DETAIL` documenting the sub-linear-in-
    delta-norm payoff. Stable target for the future MCP `x-complexity`
    schema (ADR-001 item #4).

6 unit tests pin the contract:

  - SparseDelta validation: length match, out-of-bounds detection.
  - Identity case: empty delta + prev_solution → same solution as
    full solve.
  - Tracking: incremental result on b_prev + delta matches cold
    full-solve on the new RHS within solver tolerance.
  - **Architectural promise**: warm-start iterations ≤ cold-start
    iterations on a small delta (the headline benefit of this
    roadmap item).

Test count: 145 → 151 lib pass (+6). No external API breakage —
purely additive. Existing callers keep working unchanged; the new
entry point is opt-in.

ADR-001 roadmap status: items #1 #2 #3 done. Remaining:
  #4 MCP x-complexity + max_complexity_class budget arg
  #5 joules_per_decision bench
  #6 find_anomalous_rows contrastive adapter
Cuts the minor that captures the first three roadmap items of
ADR-001 (Complexity as Architecture):

  - item #1: ComplexityClass enum + Complexity trait
  - item #2: solve_on_change residual-correction
  - item #3: coherence gate

Public API is additive — no breaking changes. SolverOptions gains
one new field with default 0.0 (gate disabled), so every existing
caller stays wire-compatible.

Bumps:
  - npm  sublinear-time-solver  1.6.0 → 1.7.0
  - rust sublinear (crate)      0.2.0 → 0.3.0

CHANGELOG.md gets a fresh 1.7.0 section above the existing 1.6.0
entry, structured to match Keep-a-Changelog conventions.

Roadmap items #4, #5, #6 stay on the cron a3644c7d backlog for the
follow-up minor.
ADR-001 roadmap item #6: the boundary-crossing primitive RuView /
Cognitum / Ruflo's inner loops actually call. Two functions in a
new module `src/contrastive.rs`:

  - `find_anomalous_rows(baseline, current, k) -> Vec<AnomalyRow>`
    Top-k rows by |current[i] - baseline[i]|, sorted desc with row
    index as the tie-break. `O(n log k)` via a `k`-sized min-heap
    (BinaryHeap with inverted Ord). Phase-1 implementation: full
    scan over the dense vectors. Phase-2 (tracked as TODO) drops to
    O(k · log n) by computing individual entries of `current`
    directly via the sublinear-Neumann single-entry primitive,
    matching what the ADR §Roadmap promised.

  - `find_rows_above_threshold(baseline, current, threshold)` —
    O(n) one-pass filter that returns ALL rows whose anomaly exceeds
    `threshold`. The change-driven activation primitive: an agent
    stays asleep until the iterator yields anything. RuView's
    "activate only on boundary crossing" maps directly to this.

  - `AnomalyRow { row, baseline, current, anomaly }` — the report
    shape. Comparable by row + anomaly for deterministic ordering.

  - `FindAnomalousRowsOp` complexity marker:
    `Adaptive { Linear, Linear }` today, with DETAIL documenting
    the planned drop to O(k · log n) in phase 2.

9 unit tests cover the API: empty inputs, k=0, k>n, top-k
correctness, tie-breaks, absolute-value semantics, threshold
filtering / no-match / dim-mismatch panic.

Also fixes the CI failure on the previous push:

  src/incremental.rs:22 doc test had a type mismatch — `SparseDelta::new`
  returns `Result<SparseDelta>` but I passed `&result` directly to
  `solve_on_change`. Added `?` to unwrap the Result and `as &dyn Matrix`
  to make the cast explicit. The 6 unit tests in incremental had been
  doing the right thing; only the doc example was wrong.

Test count: 151 → 160 lib pass + 11 doc tests (was 1 failing).

ADR-001 roadmap: items #1 #2 #3 #6 done. Remaining: #4 MCP
x-complexity advertise + budget arg, #5 joules_per_decision bench.
The metric that converts "this is edge-deployable" from vibes to a
falsifiable number. ADR-001 §SOTA criterion required this before the
package can be called complete. New file
`examples/joules_per_decision.rs`:

  - `PowerCounter` trait with two impls:
      * RaplCounter:    /sys/class/powercap/intel-rapl:0/energy_uj
                        — works on Intel and AMD Zen 2+ via the
                        compatible interface, microjoule resolution.
      * TimeOnlyCounter: wall-clock fallback when RAPL is unreadable
                        (sandbox, macOS, locked-down host). Reports
                        energy as `(not measured)`, prints timing
                        only.

  - `pick_counter()` tries the impls in order and never panics.

  - Two workloads:
      * OptimizedConjugateGradientSolver  (n configurable, default 256)
      * NeumannSolver
    plus a 100-iter warm-up so the first sample doesn't capture cold
    cache + JIT.

  - Report struct prints joules, average watts, µJ/solve, µs/solve
    when RAPL works; just µs/solve when it doesn't.

Local run on the dev host (RAPL not granted to user; fell back to
time-only):

  OptimizedConjugateGradientSolver, n=256:  0.77 µs / solve
  NeumannSolver, n=256:                     47.98 µs / solve

That's a 62× CG-over-Neumann ratio, consistent with the BENCHMARK.md
baselines from the v1.6.0 release. With RAPL granted (root or
chmod a+r), the same workload reports actual joules and average
watts.

Run with:
  cargo run --release --example joules_per_decision
  cargo run --release --example joules_per_decision -- --n 1024 --iters 5000

Phase-2 plan (in the source as a comment):
  - Integrate into the CI bench-smoke job once a stable per-job
    power counter exists (currently GitHub Actions doesn't expose
    one).
  - Add hwmon backend for the Pi Zero 2W path.

ADR-001 roadmap: items #1 #2 #3 #5 #6 done. Only #4 (MCP
x-complexity schema + max_complexity_class budget) remains.
@ruvnet
ruvnet merged commit 9a57816 into main May 19, 2026
5 checks passed
@ruvnet
ruvnet deleted the adr/complexity-as-architecture branch May 19, 2026 01:16
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