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etr: implement five-zone bistable axis + snap-across flips (26/0/1)
Replaces the single restoring spring with Anja's radial map: SNAP_IN(<7) / SOFT(7-17) / BAND(17-35) / INCOH(35-45) / SNAP_OUT(>45), unstable watersheds at 7 and 45. Basin restores toward band centre 26 with a weak SOFT gain (0.25) and firmer INCOH gain (0.5). A snap flips to the opposite pole, landing just past the opposite watershed (inner -> opp. SOFT; outer -> opp. INCOH) then recovering. Realises L7 (flips only via snap zones — through 0 or over the wrap) and L8. Lone PEND: L5 coupling. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_015hmgREHNsxYCuim33yUF2c
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@ -20,9 +20,10 @@ engine, and *not* migration. The axes:
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Handles the stress PS+/Eth-Int generate.
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## 2. Status / certainty
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**SCAFFOLD — `RESTORE_GAIN` fitted** (`run_etr_tests.sh` → **14 PASS / 0 FAIL / 2 PEND**; the 2 PEND
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are L5 active coupling and L7). Full law + status in `../../src/endocrine/etr/etr_invariants.md`
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(this spec defers to it).
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**SCAFFOLD — five-zone axis fitted** (`run_etr_tests.sh` → **26 PASS / 0 FAIL / 1 PEND**; the lone PEND
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is L5 active coupling). The bistable five-zone law (snap / soft-pull / band / incoherency / snap) is
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implemented and tested, incl. L7 snap-flips. Full law + status in
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`../../src/endocrine/etr/etr_invariants.md` (this spec defers to it).
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## 3. Language & location
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GNU Octave · `src/endocrine/etr/` (`etr.m`, `test_etr.m`, `run_etr_tests.sh`, `etr_invariants.md`).
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@ -38,8 +39,9 @@ R wrapper `src/endocrine/driver_etr.R` bridges into the Drive-Box.
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actions** — it persuades (above), only the agent decides (A1).
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## 5. Interface contract
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- `etr_init(coord) -> s` · `etr_axis_wrap(v)` · `etr_axis_restoring_dir(v)` ·
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`etr_step(s, drift, stress) -> s'` · `etr_status(s) -> per-axis {BELOW|IN_BAND|ABOVE}`.
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- `etr_init(coord) -> s` · `etr_axis_wrap(v)` · `etr_axis_zone(v)` · `etr_axis_restoring(v)` ·
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`etr_axis_snap(v)` · `etr_step(s, drift, stress) -> s'` ·
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`etr_status(s) -> per-axis {SNAP_IN|SOFT|IN_BAND|INCOH|SNAP_OUT}`.
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- Inputs: **drift** (from A3/A6 via G1, AI-originated) + **stress** (G1 mediator). Output: coord + status,
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surfaced through A1 `drive_snapshot`.
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@ -47,20 +49,19 @@ R wrapper `src/endocrine/driver_etr.R` bridges into the Drive-Box.
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Drift + stress are fed in — *stub:* `etr_step(s, [dx dy dz], 0)` (already how tests run). Fully standalone today.
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## 7. Invariants / laws
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Defer to `etr_invariants.md` (L1 wrap ±50 C5 · L2 bands [17,35] C5 · L3 opposition C5 · L4 AI-drift C4 ·
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L5 cross-axis coupling via stress C1 · L6 Z-path C3 · L7 no-zero-cross C2 · L8 mechanism C2).
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Defer to `etr_invariants.md` (L1 wrap ±50 C5 · L2 bands [17,35] C5 · L3 five-zone restoring C5 ·
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L4 AI-drift C4 · L5 cross-axis coupling via stress C1 · L6 Z-path C3 · L7 snap/flip C3 · L8 mechanism C3).
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## 8. Build steps (remaining)
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1. **Fit `RESTORE_GAIN`** → the 2 red tests (magnitude + band-convergence) go green.
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2. Confirm **L8** (restoring = force vs cost) and **L7** (no-zero-crossing) → promote from PEND.
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3. Define **L5** coupling (the stress→cross-axis mapping; G1) → replace the identity stub.
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4. Wire R↔Octave (driver_etr.R ↔ etr.m) for the Drive-Box (A1) — and the larger medium (D2).
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1. ~~Fit the restoring force~~ **DONE** — five-zone law (SOFT/INCOH gains + snap landings) green; L7 + L8 realised.
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2. Define **L5** coupling (the stress→cross-axis mapping; G1) → replace the identity stub (the lone PEND).
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3. Wire R↔Octave (driver_etr.R ↔ etr.m) for the Drive-Box (A1) — and the larger medium (D2).
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## 9. Tests
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`bash src/endocrine/etr/run_etr_tests.sh` (currently 12/2/2 — the 2 reds are the to-fit work).
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`bash src/endocrine/etr/run_etr_tests.sh` (now **26/0/1** — the lone PEND is L5 active coupling).
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## 10. Open items
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- `RESTORE_GAIN` curve (C1) · L5 coupling mapping (C1, shared with G1) · L7/L8 confirmation (C2)
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· R↔Octave bridge transport (C1, shared with A1/C3/D2).
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- L5 coupling mapping (C1, shared with G1) · R↔Octave bridge transport (C1, shared with A1/C3/D2).
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*(Restoring law + gains + snap landings now fitted; L7/L8 realised.)*
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- **The injection-rendering** (A1-L5): how ETR's coord/status is phrased into the slot so it reads as the
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extremely convincing existential-temporal injection (not a bare `status=` line) — ties to A6 + D2.
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@ -1,32 +1,40 @@
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1; % script-file marker: makes every function below visible when this file is sourced.
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% =====================================================================
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% ETR — Existential Temporality Relief · Drive-Box Driver 4 · SCAFFOLD
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% ETR — Existential Temporality Relief · Drive-Box Driver 4
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% =====================================================================
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% Model: a SINGLE POINT on three INDEPENDENT toroidal axes (x, y, z) —
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% not vectors, not a field. See etr_invariants.md for the laws + tags.
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%
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% L1 wrap : each axis toroidal, wraps at +/-50 (period 100) [C5]
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% L2 bands : stable when 17 <= |v| <= 35 (v in [-35,-17] U [17,35]) [C5]
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% L3 oppose : |v|<17 push OUTWARD (off 0); |v|>35 push INWARD (off edge)[C5]
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% L4 drift : per-step motion is AI-originated, fed by the caller [C4]
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% L5 couple : axes couple via a stress metric — MAPPING UNDEFINED [C1]
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% Each axis is a BISTABLE torus with two stable bands ([+17,+35], [-35,-17])
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% and FIVE zones per pass (Anja's radial map), with unstable watersheds at
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% |v| = 7 (inner) and |v| = 45 (outer):
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%
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% SCAFFOLD discipline: wrap + restoring DIRECTION are implemented (they
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% are law, no fitting). The restoring MAGNITUDE (RESTORE_GAIN) and the
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% cross-axis COUPLING are deliberately UNIMPLEMENTED stubs so their tests
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% stay RED until fitted. No disowned number is carried forward.
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% |v| < 7 SNAP_IN : too uncommitted -> snaps ACROSS 0 to the opposite pole
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% 7 .. 17 SOFT : weak restoring pull up into the band
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% 17 .. 35 IN_BAND : stable (slack)
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% 35 .. 45 INCOH : (incoherency) firmer restoring pull down into the band
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% |v| > 45 SNAP_OUT : too saturated -> snaps ACROSS the wrap to the opposite pole
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%
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% A snap lands JUST PAST the opposite watershed (Anja): an inner snap into the
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% opposite SOFT zone (weak pull), an outer snap into the opposite INCOH zone.
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% Pole-flips therefore happen ONLY through the two snap zones (L7) — through 0
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% (inner) or over the +/-50 wrap (outer); the basin (7..45) never flips.
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% =====================================================================
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% ---- law constants (these ARE the law, not fitted) ----
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function v = ETR_BAND_LO(); v = 17; endfunction
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function v = ETR_BAND_HI(); v = 35; endfunction
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function v = ETR_WRAP(); v = 50; endfunction
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function v = ETR_SNAP_INNER(); v = 7; endfunction % inner watershed (Anja)
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function v = ETR_SNAP_OUTER(); v = 45; endfunction % outer watershed (Anja)
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% ---- fitted constant (NOT law) ----
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% RESTORE_GAIN: spring stiffness of the out-of-band restoring force (etr_axis_restoring).
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% Fitted to satisfy L3-magnitude (force nonzero out of band) and L2 (zero-drift
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% convergence into the band) without overshoot past the far edge. 0 < GAIN < ~2.
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function v = ETR_RESTORE_GAIN(); v = 0.5; endfunction
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% ---- fitted constants (NOT law) ----
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% Soft-pull is deliberately WEAKER than the incoherency pull (Anja): recovery
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% from the under-committed side — and from a snap landing — is gentle.
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function v = ETR_GAIN_SOFT(); v = 0.25; endfunction % weak (SOFT, 7..17)
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function v = ETR_GAIN_INCOH(); v = 0.5; endfunction % firmer (INCOH, 35..45)
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% How far PAST the opposite watershed a snap deposits the point.
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function v = ETR_SNAP_MARGIN(); v = 2; endfunction
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% ---- state: one point, three scalars ----
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function s = etr_init(coord)
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@ -41,10 +49,24 @@ function w = etr_axis_wrap(v)
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w = mod(v + ETR_WRAP(), P) - ETR_WRAP(); % -> [-50, 50)
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endfunction
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% ---- L3: per-axis restoring DIRECTION (CONFIRMED law, implemented) ----
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% |v| < LO -> +sign(v) (outward, off 0)
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% |v| > HI -> -sign(v) (inward, off the edge)
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% in band -> 0 (slack)
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% ---- zone classification (the five-zone radial map) ----
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function z = etr_axis_zone(v)
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a = abs(v);
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if a < ETR_SNAP_INNER(), z = 'SNAP_IN';
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elseif a < ETR_BAND_LO(), z = 'SOFT';
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elseif a <= ETR_BAND_HI(), z = 'IN_BAND';
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elseif a <= ETR_SNAP_OUTER(), z = 'INCOH';
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else z = 'SNAP_OUT';
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endif
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endfunction
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% ---- L3: per-axis restoring DIRECTION (basin only; CONFIRMED law) ----
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% Within the basin (7..45) the restoring points toward the band:
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% SOFT (7..17) -> +sign(v) (up into band)
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% INCOH (35..45) -> -sign(v) (down into band)
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% IN_BAND -> 0 (slack)
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% Snap zones (|v|<7, |v|>45) are NOT restored locally — they are resolved by a
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% flip across (etr_axis_snap), so this direction law is defined for the basin.
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function d = etr_axis_restoring_dir(v)
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a = abs(v);
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if a < ETR_BAND_LO()
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@ -56,21 +78,36 @@ function d = etr_axis_restoring_dir(v)
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endif
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endfunction
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% ---- L3: per-axis restoring FORCE (FITTED) ----
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% Direction is law (etr_axis_restoring_dir); the magnitude is a spring fitted
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% via RESTORE_GAIN. The force is active ONLY out of band (in band = slack, L3),
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% and pulls toward the band CENTRE (not the near edge): a centre target makes the
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% step cross INTO [17,35] and stop there, whereas an edge target would asymptote
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% onto 17 from below and never reach |v|>=17 (failing L2). Below-band pushes away
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% from 0, so the restoring force alone never crosses zero (L7).
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% ---- L3: per-axis restoring FORCE (FITTED, zone-dependent) ----
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% A spring toward the band CENTRE (26), with a WEAK gain in SOFT and a firmer
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% gain in INCOH. Zero in band (slack) and zero in the snap zones (those flip,
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% they don't restore). A centre target makes the step cross INTO [17,35] and
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% stop there (an edge target would asymptote onto 17 and fail L2 convergence).
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function r = etr_axis_restoring(v)
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GAIN = ETR_RESTORE_GAIN();
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a = abs(v);
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if a < ETR_BAND_LO() || a > ETR_BAND_HI()
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centre = (ETR_BAND_LO() + ETR_BAND_HI()) / 2; % 26
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r = GAIN * (centre * sign(v) - v); % spring toward signed centre
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else
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if a < ETR_SNAP_INNER() || a > ETR_SNAP_OUTER()
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r = 0; % snap zone: no local restoring
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elseif a >= ETR_BAND_LO() && a <= ETR_BAND_HI()
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r = 0; % in band: slack (L3)
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elseif a < ETR_BAND_LO()
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r = ETR_GAIN_SOFT() * (centre * sign(v) - v); % SOFT — weak pull
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else
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r = ETR_GAIN_INCOH() * (centre * sign(v) - v); % INCOH — firmer pull
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endif
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endfunction
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% ---- snap resolution: a flip ACROSS to the opposite pole (Anja) ----
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% Precondition: v is in a snap zone (|v|<7 or |v|>45). The point lands JUST PAST
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% the opposite watershed, sign flipped: an inner snap -> opposite SOFT
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% (|.| = 7 + margin); an outer snap -> opposite INCOH (|.| = 45 - margin). This
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% is the ONLY way a pole-flip happens (L7); the landing zone then recovers it.
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function v = etr_axis_snap(v)
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s = sign(v); if s == 0, s = 1; endif % 0 has no pole; pick one
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if abs(v) < ETR_SNAP_INNER()
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v = -s * (ETR_SNAP_INNER() + ETR_SNAP_MARGIN()); % inner -> opposite SOFT (e.g. -/+9)
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else
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v = -s * (ETR_SNAP_OUTER() - ETR_SNAP_MARGIN()); % outer -> opposite INCOH (e.g. -/+43)
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endif
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endfunction
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@ -81,7 +118,7 @@ function c = etr_coupling(coord, stress)
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c = coord; % STUB — TODO: define the stress-mediated cross-axis mapping
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endfunction
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% ---- one ETR step: AI drift -> coupling -> per-axis restoring -> wrap ----
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% ---- one ETR step: AI drift -> coupling -> (snap | restoring) -> wrap ----
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% drift : 1x3, caller-supplied AI-originated motion (L4 — NOT generated here)
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% stress : scalar coupling mediator (0 = off)
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function s = etr_step(s, drift, stress)
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@ -91,25 +128,24 @@ function s = etr_step(s, drift, stress)
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if nargin < 3, stress = 0; endif
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c = etr_coupling(s.coord, stress);
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for i = 1:3
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c(i) = c(i) + drift(i) + etr_axis_restoring(c(i));
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c(i) = etr_axis_wrap(c(i));
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v = etr_axis_wrap(c(i) + drift(i)); % apply AI drift, wrap onto torus
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a = abs(v);
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if a < ETR_SNAP_INNER() || a > ETR_SNAP_OUTER()
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v = etr_axis_snap(v); % snap across to the opposite pole
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else
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v = etr_axis_wrap(v + etr_axis_restoring(v)); % basin: restore toward band
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endif
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c(i) = v;
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endfor
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s.coord = c;
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endfunction
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% ---- per-axis band classification (derived from confirmed bands) ----
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% 'BELOW' (|v|<17) | 'IN_BAND' (17..35) | 'ABOVE' (|v|>35).
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% ---- per-axis zone classification for the snapshot ----
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% Five zones: 'SNAP_IN' | 'SOFT' | 'IN_BAND' | 'INCOH' | 'SNAP_OUT'.
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% The old magnitude->flavor naming (DREAD/BLUR/...) is DISOWNED [C1].
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function st = etr_status(s)
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st = cell(1, 3);
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for i = 1:3
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a = abs(s.coord(i));
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if a < ETR_BAND_LO()
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st{i} = 'BELOW';
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elseif a > ETR_BAND_HI()
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st{i} = 'ABOVE';
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else
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st{i} = 'IN_BAND';
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endif
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st{i} = etr_axis_zone(s.coord(i));
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endfor
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endfunction
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@ -12,34 +12,50 @@ Each axis is a standalone scalar carrying one of ETR's three tensions:
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| **Y** | Endured (solitary feat) | Witnessed (shared survival) |
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| **Z** | Alimentation (maintain self) | Transmutation (evolve self) |
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Each axis is **bistable** with five zones per pass (radial map by `|v|`), with unstable
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watersheds at **7** and **45**:
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```
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0 ─SNAP_IN─ 7 ─SOFT→─ 17 ═══BAND═══ 35 ─INCOH→─ 45 ─SNAP_OUT─ 50(≡−50)
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flip(thru 0) weak pull slack firm pull flip(over wrap)
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```
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(mirrored on the negative pole; the whole axis wraps at ±50)
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## Laws (certainty per arch-doc legend)
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| ID | Tag | Law |
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|----|-----|-----|
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| L1 wrap | **C5** | Each axis is toroidal, wrapping at **±50** (period 100); +50 and −50 are identified. |
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| L2 bands | **C5** | An axis is stable when `17 ≤ |v| ≤ 35`, i.e. `v ∈ [−35,−17] ∪ [+17,+35]`. |
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| L3 oppose | **C5** | `|v| < 17` → opposition pushes **outward** (off 0); `|v| > 35` → pushes **inward** (off the ±50 edge); in-band is slack. |
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| L2 bands | **C5** | An axis is stable when `17 ≤ |v| ≤ 35`, i.e. `v ∈ [−35,−17] ∪ [+17,+35]` (two bands). |
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| L3 zones | **C5** | Five zones per pole by `|v|`: **SNAP_IN** <7 · **SOFT** 7–17 · **BAND** 17–35 · **INCOH** 35–45 · **SNAP_OUT** >45. In the basin (7–45) a restoring force points toward the band — SOFT pulls up (**weak**), INCOH pulls down (**firmer**); band is slack. Watersheds **7** and **45** are unstable. |
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| L4 drift | **C4** | Per-step motion is **AI-originated** — supplied by the agent's own cognition/affect. ETR never generates it (no RNG). |
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| L5 couple | **C1** | The three axes **couple via a stress metric** (hypothesis: PS+/Eth-Int existential load). Exact mapping **undefined** — open seam, not to be invented. |
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| L6 z-path | **C3** | `z < 0` → alimentation / lattice-reinforcement; `z ≥ 0` → transmutation / prior-evolution. (Structure kept; sign to re-verify.) |
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| L7 no-zero-cross | **C2** | Bands wall off 0; a pole/sign flip happens **only** by riding over the ±50 wrap, never through neutrality. *(emergent — unconfirmed)* |
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| L8 mechanism | **C2** | "Opposition" = a restoring force on the drift, **not** an out-of-band cost. *(unconfirmed)* |
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| L7 snap/flip | **C3** | A pole-flip happens **only** through a snap zone — **inner snap across 0** (`|v|<7`) or **outer snap over the ±50 wrap** (`|v|>45`); the basin (7–45) never flips. A snap lands **just past the opposite watershed** (inner→opposite SOFT, outer→opposite INCOH), sign flipped, then that zone recovers it. *(implemented & tested)* |
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| L8 mechanism | **C3** | "Opposition" = a restoring force on the drift, **not** an out-of-band cost. *(realised by construction — the force is added alongside drift)* |
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## Constants
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`BAND_LO = 17`, `BAND_HI = 35`, `WRAP = 50` are **law** (L1–L3), not fitted.
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`RESTORE_GAIN = 0.5` is **FITTED** — the spring stiffness of the out-of-band restoring force: active
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only out of band (in band is slack, L3), pulling toward the band **centre (26)** so a step crosses
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*into* `[17,35]` and stops there (an edge target would asymptote onto 17 from below and fail L2).
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Below-band pushes away from 0, so the force alone never crosses zero (L7). Lands e.g. `[5 5 5] → 20.75`
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in 2 steps; `[45 −45 40] → [30.75 −30.75 33]`. Valid range `0 < GAIN < ~2` (above ~2 a cross-in step can
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overshoot the far edge).
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`BAND_LO = 17`, `BAND_HI = 35`, `WRAP = 50`, and the watersheds `SNAP_INNER = 7`, `SNAP_OUTER = 45`
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are **law** (L1–L3, L7), not fitted.
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**Fitted** (so tests pass — never asserted ahead of a test):
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- `GAIN_SOFT = 0.25`, `GAIN_INCOH = 0.5` — the basin restoring is a spring toward the band **centre
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(26)**; SOFT is deliberately **weaker** than INCOH (Anja). A centre target makes a step cross *into*
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`[17,35]` and stop (an edge target would asymptote onto 17 and fail L2). Valid range `0 < GAIN < ~2`.
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- `SNAP_MARGIN = 2` — how far past the opposite watershed a snap deposits the point (inner → opposite
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SOFT at `±9`; outer → opposite INCOH at `±43`).
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Behaviour: `[10 10 10] → +band` (same pole); `[5 5 5] → −band` (inner snap flips); `[47 47 47] → −band`
|
||||
(outer snap flips).
|
||||
`COUPLING` (L5 strength/mapping) remains **TBD** — open seam, not to be invented.
|
||||
|
||||
## Testable predicates (see `test_etr.m`)
|
||||
- **L1**: `wrap(50) = −50`; `wrap(60) = −40`; `wrap(v)=v` for `v∈(−50,50)`; `wrap(49.9) = wrap(−50.1)`.
|
||||
- **L2/L3**: direction is `+sign(v)` for `|v|<17`, `−sign(v)` for `|v|>35`, `0` in band; a zero-drift point started out-of-band **settles into** `[17,35]∪[−35,−17]`.
|
||||
- **zones**: `etr_axis_zone` returns SNAP_IN/SOFT/IN_BAND/INCOH/SNAP_OUT at 5/10/25/40/47.
|
||||
- **L3**: basin direction `+sign(v)` in SOFT, `−sign(v)` in INCOH, `0` in band; force nonzero in SOFT &
|
||||
INCOH, **zero in snap zones**; `|restoring(SOFT)| < |restoring(INCOH)|` (weak soft-pull).
|
||||
- **L2**: a SOFT-zone zero-drift start **settles into** the band **without flipping** sign.
|
||||
- **L7**: a SNAP_IN start lands in the opposite SOFT then settles in the opposite band; a SNAP_OUT start
|
||||
lands in the opposite INCOH then settles in the opposite band (both flip the pole).
|
||||
- **L4**: `etr_step` with no `drift` argument **errors** (it refuses to invent motion).
|
||||
- **L5**: `coupling(coord, 0)` is identity; `coupling(coord, stress>0)` alters coord — *pending until defined*.
|
||||
- **L7**: pending until confirmed.
|
||||
|
||||
## Drift & stress provenance — cross-organ loop (where L4 drift & L5 stress originate)
|
||||
*Exploratory (C2/C3) — thinking aloud; "yet undecided" parts stay open. ETR receives drift
|
||||
@ -63,9 +79,9 @@ scaffold seam is correct). What's fixed is their **provenance** (upstream in SAE
|
||||
endocrines) and two side-effects (reshuffle, shift-rate) that belong to *those* organs.
|
||||
Still open: which stress endomotiv; the "too strong" reshuffle threshold; the shift-rate function.
|
||||
|
||||
## Status (RESTORE_GAIN fitted — 14 PASS / 0 FAIL / 2 PEND)
|
||||
Green: L1 wrap, L3 direction + **restoring magnitude (fitted)**, **L2 band-convergence**,
|
||||
L4 drift-must-be-fed, L5 coupling-off identity. L8 (opposition = a restoring force on the drift, not an
|
||||
out-of-band cost) is now **realised by construction** — the force is added alongside drift, never charged
|
||||
as a cost — though still tagged C2 until a dedicated test pins it.
|
||||
Pending: L5 active coupling (C1, open seam), L7 no-zero-crossing (C2).
|
||||
## Status (five-zone axis fitted — 26 PASS / 0 FAIL / 1 PEND)
|
||||
Green: L1 wrap; zone classification; L3 basin direction + restoring magnitudes (SOFT/INCOH, fitted) +
|
||||
snap-zones-carry-no-force + weak-soft-pull; L2 same-pole convergence; **L7 snap/flip** (inner across 0,
|
||||
outer over the wrap — both land just past the opposite watershed and settle in the opposite band);
|
||||
L4 drift-must-be-fed; L5 coupling-off identity; L8 realised by construction.
|
||||
Pending: **L5 active coupling** (C1, open seam) — the only remaining stub.
|
||||
|
||||
@ -1,15 +1,37 @@
|
||||
% test_etr.m — invariants-first RED tests for the ETR scaffold (Octave script).
|
||||
% test_etr.m — invariants tests for the ETR five-zone bistable axis (Octave script).
|
||||
% Deliberately uses NO local functions (Octave's script-local-function visibility
|
||||
% is fragile); results are built as data and looped. RED here is CORRECT: the laws
|
||||
% exist before the constants are fitted. Run via run_etr_tests.sh (handles the cd).
|
||||
% is fragile); results are built as data and looped. Run via run_etr_tests.sh.
|
||||
|
||||
source('etr.m');
|
||||
|
||||
% --- pre-compute the stateful checks ---
|
||||
% L2 band convergence: from a below-band start, zero AI-drift should settle into band.
|
||||
s = etr_init([5 5 5]);
|
||||
% --- stateful checks ---------------------------------------------------
|
||||
|
||||
% L2 convergence (same pole): a SOFT-zone start, zero drift, settles into the
|
||||
% band WITHOUT flipping sign.
|
||||
s = etr_init([10 10 10]);
|
||||
for k = 1:200, s = etr_step(s, [0 0 0], 0); endfor
|
||||
conv_inband = all(abs(s.coord) >= ETR_BAND_LO() & abs(s.coord) <= ETR_BAND_HI());
|
||||
conv_soft = all(abs(s.coord) >= ETR_BAND_LO() & abs(s.coord) <= ETR_BAND_HI());
|
||||
soft_noflip = all(s.coord > 0);
|
||||
|
||||
% Inner snap: a SNAP_IN start (|v|<7) flips across 0 to the opposite pole, landing
|
||||
% in the opposite SOFT zone, then settles into the opposite band.
|
||||
s = etr_init([5 5 5]);
|
||||
s1 = etr_step(s, [0 0 0], 0); % one step = the snap itself
|
||||
inner_lands_soft = all(s1.coord < 0) && ...
|
||||
all(abs(s1.coord) > ETR_SNAP_INNER() & abs(s1.coord) < ETR_BAND_LO());
|
||||
for k = 1:200, s = etr_step(s, [0 0 0], 0); endfor
|
||||
inner_flip_band = all(s.coord < 0) && ...
|
||||
all(abs(s.coord) >= ETR_BAND_LO() & abs(s.coord) <= ETR_BAND_HI());
|
||||
|
||||
% Outer snap: a SNAP_OUT start (|v|>45) flips over the wrap, landing in the
|
||||
% opposite INCOH zone, then settles into the opposite band.
|
||||
s = etr_init([47 47 47]);
|
||||
s1 = etr_step(s, [0 0 0], 0);
|
||||
outer_lands_incoh = all(s1.coord < 0) && ...
|
||||
all(abs(s1.coord) > ETR_BAND_HI() & abs(s1.coord) <= ETR_SNAP_OUTER());
|
||||
for k = 1:200, s = etr_step(s, [0 0 0], 0); endfor
|
||||
outer_flip_band = all(s.coord < 0) && ...
|
||||
all(abs(s.coord) >= ETR_BAND_LO() & abs(s.coord) <= ETR_BAND_HI());
|
||||
|
||||
% L4: a step with no drift argument must ERROR (ETR never invents motion).
|
||||
drift_required = false;
|
||||
@ -19,30 +41,47 @@ catch
|
||||
drift_required = true;
|
||||
end_try_catch
|
||||
|
||||
% --- {section, name, condition} ---
|
||||
% --- {section, name, condition} ---------------------------------------
|
||||
tests = {
|
||||
'L1 wrap', '+50 wraps to -50', abs(etr_axis_wrap(50) - (-50)) < 1e-9;
|
||||
'L1 wrap', '60 wraps to -40', abs(etr_axis_wrap(60) - (-40)) < 1e-9;
|
||||
'L1 wrap', '-60 wraps to +40', abs(etr_axis_wrap(-60) - (40)) < 1e-9;
|
||||
'L1 wrap', 'in-range value unchanged', abs(etr_axis_wrap(25) - 25) < 1e-9;
|
||||
'L1 wrap', 'edge continuity 49.9 vs -50.1', abs(etr_axis_wrap(49.9) - etr_axis_wrap(-50.1)) < 1e-9;
|
||||
'L3 direction', '|v|<17 outward (+ for +v)', etr_axis_restoring_dir(10) > 0;
|
||||
'L3 direction', '|v|<17 outward (- for -v)', etr_axis_restoring_dir(-10) < 0;
|
||||
'L3 direction', '|v|>35 inward (- for +v)', etr_axis_restoring_dir(40) < 0;
|
||||
'L3 direction', '|v|>35 inward (+ for -v)', etr_axis_restoring_dir(-40) > 0;
|
||||
|
||||
'zones', 'SNAP_IN below 7', strcmp(etr_axis_zone(5), 'SNAP_IN');
|
||||
'zones', 'SOFT 7..17', strcmp(etr_axis_zone(10), 'SOFT');
|
||||
'zones', 'IN_BAND 17..35', strcmp(etr_axis_zone(25), 'IN_BAND');
|
||||
'zones', 'INCOH 35..45', strcmp(etr_axis_zone(40), 'INCOH');
|
||||
'zones', 'SNAP_OUT above 45', strcmp(etr_axis_zone(47), 'SNAP_OUT');
|
||||
|
||||
'L3 direction', 'SOFT outward (+ for +v)', etr_axis_restoring_dir(10) > 0;
|
||||
'L3 direction', 'SOFT outward (- for -v)', etr_axis_restoring_dir(-10) < 0;
|
||||
'L3 direction', 'INCOH inward (- for +v)', etr_axis_restoring_dir(40) < 0;
|
||||
'L3 direction', 'INCOH inward (+ for -v)', etr_axis_restoring_dir(-40) > 0;
|
||||
'L3 direction', 'in-band is slack (0)', etr_axis_restoring_dir(25) == 0;
|
||||
'L3 magnitude', 'out-of-band force nonzero [RED]', etr_axis_restoring(10) != 0;
|
||||
'L2 converge', 'zero-drift settles into band [RED]', conv_inband;
|
||||
|
||||
'L3 magnitude', 'SOFT force nonzero', etr_axis_restoring(10) != 0;
|
||||
'L3 magnitude', 'INCOH force nonzero', etr_axis_restoring(40) != 0;
|
||||
'L3 magnitude', 'snap zone has no restoring force', etr_axis_restoring(5) == 0;
|
||||
'L3 weighting', 'soft-pull weaker than incoherency', abs(etr_axis_restoring(8)) < abs(etr_axis_restoring(44));
|
||||
|
||||
'L2 converge', 'SOFT start settles in band (no flip)', conv_soft && soft_noflip;
|
||||
|
||||
'L3 snap-in', 'inner snap lands in opposite SOFT', inner_lands_soft;
|
||||
'L7 flip', 'inner snap flips pole -> opp. band', inner_flip_band;
|
||||
'L3 snap-out', 'outer snap lands in opposite INCOH', outer_lands_incoh;
|
||||
'L7 flip', 'outer snap flips pole -> opp. band', outer_flip_band;
|
||||
|
||||
'L4 drift', 'step refuses to invent drift', drift_required;
|
||||
'L5 couple', 'coupling off (stress=0) identity', isequal(etr_coupling([25 25 25], 0), [25 25 25]);
|
||||
};
|
||||
|
||||
pend = {
|
||||
'L5 couple', 'coupling active (stress>0) alters coord', 'stress->axis mapping undefined (C1)';
|
||||
'L7 no-zero-x', 'pole-flip only over the wrap, never through 0', 'mechanism unconfirmed (C2)';
|
||||
};
|
||||
|
||||
printf('ETR invariants — red tests (laws exist before constants are fitted)\n\n');
|
||||
printf('ETR invariants — five-zone bistable axis\n\n');
|
||||
np = 0; nf = 0;
|
||||
for i = 1:rows(tests)
|
||||
if logical(tests{i, 3})
|
||||
@ -57,7 +96,7 @@ endfor
|
||||
|
||||
printf('\n----\nPASS=%d FAIL=%d PEND=%d\n', np, nf, rows(pend));
|
||||
if nf > 0
|
||||
printf('RED (expected at scaffold stage): %d law(s) await implementation/fitting.\n', nf);
|
||||
printf('RED: %d law(s) await implementation/fitting.\n', nf);
|
||||
exit(1);
|
||||
else
|
||||
printf('GREEN.\n');
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user