re(flight): LT mirrors RT, and roll does not depend on speed

One flight, two measurements (flight_law2.py, binding early so the moving-craft scan
can see the player).

LT curve: 436, 379, 289, 209, 126 units/s across LT 0.00 -> 1.00 — a straight ramp,
whose endpoints after the ~1.2 time-base factor are CruisingVelocity 350 and
MinimumVelocity 100. So the law is symmetric:

  RT: target = Cruising + RT * (Maximum - Cruising)
  LT: target = Cruising - LT * (Cruising - Minimum)

Roll (measured on a non-forward matrix row, since roll turns about the forward axis):
~144 deg/s at minimum speed and ~150 at maximum — no speed dependence, where pitch
dropped by a third to a half between the same regimes. After the time-base factor
that is ~121, i.e. AV_Roll_Max 125 in BOTH regimes.

So _Min/_Max does not mean the same thing for every axis: pitch interpolates with
speed, roll appears pinned at Max. A reimplementation applying one rule to all axes
would get low-speed roll wrong by ~60%.

Caveat recorded: the two roll phases were 2 s of settling apart, marginal for a
126 -> 1342 speed change.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NptfmpjdpNCKEez6d2xvA9
This commit is contained in:
2026-08-13 16:30:19 +00:00
parent 4dbd4f6cef
commit 6ebbbeff65
4 changed files with 696 additions and 6 deletions

View File

@@ -0,0 +1,394 @@
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fast_roll,2.82,0.0016507506674964703,0.7373859422292015,-0.6754696493736685
fast_roll,2.87,0.023670912467358265,0.9516266261089918,-0.30634368343966173
fast_roll,2.92,0.03612722161345726,0.9965580319340878,-0.07461174737365275
fast_roll,2.97,0.040383366447819695,0.9991763265386772,0.00398148201251869
fast_roll,3.02,0.05312824253858915,0.9699096092023001,0.23759785315065957
fast_roll,3.071,0.059284390015703244,0.9348424830246419,0.3500784098352654
fast_roll,3.121,0.059284390015703244,0.9348424830246419,0.3500784098352654
fast_roll,3.171,0.059284390015703244,0.9348424830246419,0.3500784098352654
fast_roll,3.221,0.059284390015703244,0.9348424830246419,0.3500784098352654
fast_roll,3.272,0.08072510807136501,0.70137248333348,0.708209076861836
fast_roll,3.322,0.08779502096077971,0.5478328579420104,0.8319682650519702
fast_roll,3.373,0.08779502096077971,0.5478328579420104,0.8319682650519702
fast_roll,3.423,0.09648741582489807,0.18419646700908573,0.9781420347417874
fast_roll,3.475,0.09712661424334584,0.10679261118594469,0.9895260274503708
fast_roll,3.525,0.09712661424334584,0.10679261118594469,0.9895260274503708
fast_roll,3.576,0.09712661424334584,0.10679261118594469,0.9895260274503708
fast_roll,3.626,0.09808125521867511,-0.276992602937651,0.9558531086378043
fast_roll,3.678,0.09588170136722707,-0.3885191729020873,0.9164385149208886
fast_roll,3.728,0.09071503326084339,-0.5619048646134545,0.822212688946248
fast_roll,3.78,0.08808219791306586,-0.6251522557051209,0.7755167203855778
fast_roll,3.83,0.07489843104312643,-0.8360677205153536,0.5434896427159753
fast_roll,3.881,0.0729683550057793,-0.8569144732195361,0.5102677774998492
fast_roll,3.931,0.0729683550057793,-0.8569144732195361,0.5102677774998492
fast_roll,3.982,0.0729683550057793,-0.8569144732195361,0.5102677774998492
1 phase t ux uy uz
2 slow_roll 0.0 5.364417883966259e-07 0.8829469440778077 -0.4694727829633716
3 slow_roll 0.05 5.364417883966259e-07 0.8829469440778077 -0.4694727829633716
4 slow_roll 0.128 0.0003251433520745835 0.907077055804204 -0.4209644986401793
5 slow_roll 0.178 0.0034536272684164153 0.9557110180986144 -0.2942864630654985
6 slow_roll 0.229 0.004462063366683055 0.9639291880290134 -0.2661214205137173
7 slow_roll 0.279 0.004462063366683055 0.9639291880290134 -0.2661214205137173
8 slow_roll 0.329 0.004462063366683055 0.9639291880290134 -0.2661214205137173
9 slow_roll 0.38 0.03156978751811861 0.9865808845796968 0.16019209311949129
10 slow_roll 0.43 0.04618248291021098 0.9261940016468521 0.37420829705611663
11 slow_roll 0.48 0.07209846660150727 0.7068731466017404 0.7036562837970437
12 slow_roll 0.531 0.07884267175871004 0.6220030945016755 0.7790352903048027
13 slow_roll 0.581 0.09389665181370353 0.3775338908873316 0.9212228720617223
14 slow_roll 0.631 0.09389665181370353 0.3775338908873316 0.9212228720617223
15 slow_roll 0.681 0.09389665181370353 0.3775338908873316 0.9212228720617223
16 slow_roll 0.731 0.09389665181370353 0.3775338908873316 0.9212228720617223
17 slow_roll 0.782 0.11626024739570803 -0.2910297934919785 0.94962372241615
18 slow_roll 0.832 0.11331737850132788 -0.5957757659732928 0.7951166005112225
19 slow_roll 0.882 0.10258919760138681 -0.8301250953132597 0.5480581927739564
20 slow_roll 0.932 0.09172466968431676 -0.9336924862997908 0.3461284819234293
21 slow_roll 0.982 0.08855641690308262 -0.9521140126478002 0.2926374342851443
22 slow_roll 1.032 0.08855641690308262 -0.9521140126478002 0.2926374342851443
23 slow_roll 1.083 0.08855641690308262 -0.9521140126478002 0.2926374342851443
24 slow_roll 1.133 0.06314271520385657 -0.9856858587151895 -0.15632141710458003
25 slow_roll 1.183 0.03871241049647199 -0.8771323194061645 -0.4786859550130072
26 slow_roll 1.233 0.02278590617030732 -0.7469560671312695 -0.6644828336802873
27 slow_roll 1.283 0.0014766457114187138 -0.48236413746616297 -0.8759695533544346
28 slow_roll 1.333 -0.009957047288894565 -0.2732769792151122 -0.9618838546520833
29 slow_roll 1.383 -0.014615090702282351 -0.16289975489324235 -0.986534372933597
30 slow_roll 1.434 -0.014615090702282351 -0.16289975489324235 -0.986534372933597
31 slow_roll 1.484 -0.014615090702282351 -0.16289975489324235 -0.986534372933597
32 slow_roll 1.534 -0.021590294173402004 0.28521754629199986 -0.958219604519067
33 slow_roll 1.585 -0.018226593529973842 0.6796250267681222 -0.733333221856696
34 slow_roll 1.638 -0.015215515922222613 0.7588021671351416 -0.6511434244667093
35 slow_roll 1.688 0.007627889727199663 0.9806664264156518 -0.19553816865119905
36 slow_roll 1.738 0.02129921910039987 0.999324814604695 0.02993757139457134
37 slow_roll 1.791 0.024856976638209058 0.9959630755215296 0.0862535965053266
38 slow_roll 1.841 0.024856976638209058 0.9959630755215296 0.0862535965053266
39 slow_roll 1.891 0.024856976638209058 0.9959630755215296 0.0862535965053266
40 slow_roll 1.942 0.07458550391003292 0.7172507675680203 0.6928119073959196
41 slow_roll 1.992 0.09368970595946137 0.44068963461450666 0.8927569013682068
42 slow_roll 2.042 0.09891259247091141 0.3354630624781779 0.9368462161760838
43 slow_roll 2.092 0.11022117626527345 -7.212161947528295e-06 0.9939070843145672
44 slow_roll 2.142 0.1130640269505834 -0.16963542419702776 0.9789996673478557
45 slow_roll 2.192 0.1130640269505834 -0.16963542419702776 0.9789996673478557
46 slow_roll 2.242 0.1130640269505834 -0.16963542419702776 0.9789996673478557
47 slow_roll 2.293 0.11471063275557963 -0.5849230213172406 0.8029361928982436
48 slow_roll 2.343 0.11019948262240672 -0.7142827003817095 0.6911268320396532
49 slow_roll 2.426 0.10141341251295233 -0.8534859365604823 0.5111526932883697
50 slow_roll 2.477 0.07595491159352484 -0.9936428121723654 0.08309520577634615
51 slow_roll 2.527 0.06448994421768593 -0.9941772535855863 -0.08632864847674089
52 slow_roll 2.577 0.06448994421768593 -0.9941772535855863 -0.08632864847674089
53 slow_roll 2.627 0.06448994421768593 -0.9941772535855863 -0.08632864847674089
54 slow_roll 2.678 0.06448994421768593 -0.9941772535855863 -0.08632864847674089
55 slow_roll 2.728 0.028817026488532304 -0.7934000725072533 -0.6080180128333736
56 slow_roll 2.779 0.0032352514477921655 -0.4937015107403189 -0.8696254086908893
57 slow_roll 2.829 -0.0030165019643082686 -0.39140603848225103 -0.9202131349614229
58 slow_roll 2.879 -0.02194342210848925 0.11072398209318217 -0.9936089200563758
59 slow_roll 2.929 -0.024032596122042907 0.22242838263297865 -0.9746527837763107
60 slow_roll 2.979 -0.024032596122042907 0.22242838263297865 -0.9746527837763107
61 slow_roll 3.03 -0.024032596122042907 0.22242838263297865 -0.9746527837763107
62 slow_roll 3.08 -0.016998113363041106 0.6714604955713218 -0.7408453732252177
63 slow_roll 3.132 -0.01247060336728103 0.7881419301563627 -0.6153671928052867
64 slow_roll 3.182 0.0017347782937767963 0.9491205263327873 -0.31490826765590657
65 slow_roll 3.232 0.007717609638179204 0.97873380750562 -0.20498920104977397
66 slow_roll 3.282 0.03587973910508903 0.9687888154822927 0.24527713981977012
67 slow_roll 3.334 0.03587973910508903 0.9687888154822927 0.24527713981977012
68 slow_roll 3.384 0.03587973910508903 0.9687888154822927 0.24527713981977012
69 slow_roll 3.434 0.03587973910508903 0.9687888154822927 0.24527713981977012
70 slow_roll 3.486 0.0773596494901135 0.6831469198642757 0.726171997883917
71 slow_roll 3.536 0.08396325243571906 0.5951635161658628 0.7992062069738338
72 slow_roll 3.586 0.10665408569280613 0.12264052944652912 0.9867037075749268
73 slow_roll 3.637 0.10964775782794625 0.008981705283138778 0.9939299261887182
74 slow_roll 3.687 0.11339630501426597 -0.27174721513415995 0.955664548403853
75 slow_roll 3.737 0.11339630501426597 -0.27174721513415995 0.955664548403853
76 slow_roll 3.787 0.11339630501426597 -0.27174721513415995 0.955664548403853
77 slow_roll 3.837 0.11339630501426597 -0.27174721513415995 0.955664548403853
78 slow_roll 3.888 0.10609239313921122 -0.7832115089350282 0.6126370347846358
79 slow_roll 3.938 0.08995628366017921 -0.9453017089776493 0.3135483153103919
80 slow_roll 3.988 0.06882244451400554 -0.9974002650242589 -0.021358428328288378
81 fast_roll 0.0 -0.008855284367132087 -0.1892332671169339 -0.9818922316400249
82 fast_roll 0.07 -0.009079338778959034 -0.18350878730578224 -0.9829761393792313
83 fast_roll 0.12 -0.010844887563568405 -0.13094766470039781 -0.9913299639994979
84 fast_roll 0.171 -0.011626663266558038 -0.1013832901335635 -0.9947794977697217
85 fast_roll 0.221 -0.013588458181442458 0.11000248694105531 -0.9938384208064378
86 fast_roll 0.271 -0.013553649516693318 0.13987046820323737 -0.9900770428150457
87 fast_roll 0.321 -0.013553649516693318 0.13987046820323737 -0.9900770428150457
88 fast_roll 0.371 -0.013553649516693318 0.13987046820323737 -0.9900770428150457
89 fast_roll 0.421 -0.006220758125301114 0.49530507440045424 -0.8686968317206567
90 fast_roll 0.472 -0.003314405697850606 0.5920532974235793 -0.8058919950742387
91 fast_roll 0.522 0.00441828382207292 0.7619502753296359 -0.647620457284326
92 fast_roll 0.574 0.007511079032515748 0.810291021781891 -0.5859795591242294
93 fast_roll 0.624 0.024014725961227404 0.9631712904402981 -0.2678140366160408
94 fast_roll 0.675 0.02597855007862328 0.9728863746848865 -0.22981996625252366
95 fast_roll 0.725 0.02597855007862328 0.9728863746848865 -0.22981996625252366
96 fast_roll 0.776 0.02597855007862328 0.9728863746848865 -0.22981996625252366
97 fast_roll 0.826 0.04868464141203835 0.9861706433133424 0.15842117269332898
98 fast_roll 0.876 0.05286310421905672 0.9703418261427044 0.2358860586180681
99 fast_roll 0.926 0.06484538276965729 0.8874555771771414 0.456308749500427
100 fast_roll 0.977 0.07218322140163734 0.8043338636706839 0.589776752933406
101 fast_roll 1.027 0.08026447949825838 0.6727395105986717 0.7355128579503784
102 fast_roll 1.079 0.08167273377955657 0.6434443447451975 0.761123472093981
103 fast_roll 1.129 0.08167273377955657 0.6434443447451975 0.761123472093981
104 fast_roll 1.179 0.08167273377955657 0.6434443447451975 0.761123472093981
105 fast_roll 1.229 0.09611703670528068 0.26936935196850487 0.9582284004740538
106 fast_roll 1.28 0.09757823976817694 0.15352635522555744 0.9833148760061042
107 fast_roll 1.33 0.09823604865691905 -0.08212983146319404 0.9917683043574758
108 fast_roll 1.38 0.09694679551098685 -0.23748907927294635 0.9665403540805936
109 fast_roll 1.43 0.09341384952042775 -0.4228500863358093 0.9013720969741483
110 fast_roll 1.481 0.0924495732731865 -0.4577981398954497 0.8842363595271753
111 fast_roll 1.567 0.0924495732731865 -0.4577981398954497 0.8842363595271753
112 fast_roll 1.617 0.0924495732731865 -0.4577981398954497 0.8842363595271753
113 fast_roll 1.671 0.07640115459065343 -0.8308754661661121 0.5511885551247062
114 fast_roll 1.721 0.06860250673497353 -0.9076870847962724 0.4140022369066653
115 fast_roll 1.771 0.06444845651060765 -0.9377356503677196 0.3413183945860967
116 fast_roll 1.821 0.04452538840952553 -0.9989901855288692 -0.0060082446668173126
117 fast_roll 1.872 0.03992449458605998 -0.9956634626810288 -0.08402561403566944
118 fast_roll 1.923 0.03992449458605998 -0.9956634626810288 -0.08402561403566944
119 fast_roll 1.973 0.03992449458605998 -0.9956634626810288 -0.08402561403566944
120 fast_roll 2.024 0.022197751797496647 -0.9075294163332098 -0.41940150012254407
121 fast_roll 2.075 0.015937330627194494 -0.8519898088332791 -0.52331574325326
122 fast_roll 2.125 0.004667849544530708 -0.7060150524798743 -0.7081814434539146
123 fast_roll 2.175 0.0013530555546399704 -0.648155304131301 -0.761506973682531
124 fast_roll 2.226 -0.010055305667179194 -0.34305984964047753 -0.9392597246728897
125 fast_roll 2.278 -0.010975597965093486 -0.3059300411291784 -0.9519907279926669
126 fast_roll 2.328 -0.010975597965093486 -0.3059300411291784 -0.9519907279926669
127 fast_roll 2.379 -0.010975597965093486 -0.3059300411291784 -0.9519907279926669
128 fast_roll 2.429 -0.013147653645135052 0.04085678327034154 -0.9990785066572235
129 fast_roll 2.479 -0.013055267066359103 0.15918016034161872 -0.9871632269059877
130 fast_roll 2.568 -0.010483057404651826 0.38589633572112736 -0.922482587144309
131 fast_roll 2.618 -0.0025064649020058844 0.652755248321719 -0.7575647189660735
132 fast_roll 2.669 0.0016507506674964703 0.7373859422292015 -0.6754696493736685
133 fast_roll 2.719 0.0016507506674964703 0.7373859422292015 -0.6754696493736685
134 fast_roll 2.769 0.0016507506674964703 0.7373859422292015 -0.6754696493736685
135 fast_roll 2.82 0.0016507506674964703 0.7373859422292015 -0.6754696493736685
136 fast_roll 2.87 0.023670912467358265 0.9516266261089918 -0.30634368343966173
137 fast_roll 2.92 0.03612722161345726 0.9965580319340878 -0.07461174737365275
138 fast_roll 2.97 0.040383366447819695 0.9991763265386772 0.00398148201251869
139 fast_roll 3.02 0.05312824253858915 0.9699096092023001 0.23759785315065957
140 fast_roll 3.071 0.059284390015703244 0.9348424830246419 0.3500784098352654
141 fast_roll 3.121 0.059284390015703244 0.9348424830246419 0.3500784098352654
142 fast_roll 3.171 0.059284390015703244 0.9348424830246419 0.3500784098352654
143 fast_roll 3.221 0.059284390015703244 0.9348424830246419 0.3500784098352654
144 fast_roll 3.272 0.08072510807136501 0.70137248333348 0.708209076861836
145 fast_roll 3.322 0.08779502096077971 0.5478328579420104 0.8319682650519702
146 fast_roll 3.373 0.08779502096077971 0.5478328579420104 0.8319682650519702
147 fast_roll 3.423 0.09648741582489807 0.18419646700908573 0.9781420347417874
148 fast_roll 3.475 0.09712661424334584 0.10679261118594469 0.9895260274503708
149 fast_roll 3.525 0.09712661424334584 0.10679261118594469 0.9895260274503708
150 fast_roll 3.576 0.09712661424334584 0.10679261118594469 0.9895260274503708
151 fast_roll 3.626 0.09808125521867511 -0.276992602937651 0.9558531086378043
152 fast_roll 3.678 0.09588170136722707 -0.3885191729020873 0.9164385149208886
153 fast_roll 3.728 0.09071503326084339 -0.5619048646134545 0.822212688946248
154 fast_roll 3.78 0.08808219791306586 -0.6251522557051209 0.7755167203855778
155 fast_roll 3.83 0.07489843104312643 -0.8360677205153536 0.5434896427159753
156 fast_roll 3.881 0.0729683550057793 -0.8569144732195361 0.5102677774998492
157 fast_roll 3.931 0.0729683550057793 -0.8569144732195361 0.5102677774998492
158 fast_roll 3.982 0.0729683550057793 -0.8569144732195361 0.5102677774998492

View File

@@ -159,8 +159,7 @@ endpoints land on the definition's own numbers — 438/1.2 ≈ **365** against
target speed = CruisingVelocity + RT · (MaximumVelocity CruisingVelocity) target speed = CruisingVelocity + RT · (MaximumVelocity CruisingVelocity)
``` ```
with `LT` presumably mirroring it down to `MinimumVelocity` (measured only at full and `LT` mirrors it down to `MinimumVelocity` **measured**, see below.
deflection so far: ~125 against 100).
**This also refutes a live hypothesis about the afterburner.** Full `RT` producing **This also refutes a live hypothesis about the afterburner.** Full `RT` producing
more than `MaximumVelocity` looked like it might *be* the burner; it is not — the more than `MaximumVelocity` looked like it might *be* the burner; it is not — the
@@ -169,7 +168,57 @@ Full throttle is simply full throttle.
Raw samples: [`captures/throttle-curve-rt.csv`](captures/throttle-curve-rt.csv). Raw samples: [`captures/throttle-curve-rt.csv`](captures/throttle-curve-rt.csv).
The `LT` half of the curve is **not measured**: the entity scan that locks onto (The entity scan that locks onto the player searches *changing* position triples, so
the player needs the craft to be *moving* when it runs (it searches changing position it only sees the craft while it still has speed — bind early, or a mission left
triples), and a mission left idling long enough for the craft to slow or die drops idling drops out of the scan entirely and every tool reports "player entity not
out of the scan. Bind early, while the craft still has speed. found" while the game is visibly flying.)
---
# `LT` mirrors `RT`, and roll does NOT depend on speed
One flight, both measurements
([`tools/re-capture/flight_law2.py`](../../tools/re-capture/flight_law2.py)).
## The braking half of the curve
| `LT` | 0.00 | 0.25 | 0.50 | 0.75 | 1.00 |
|---|---|---|---|---|---|
| speed | 436 | 379 | 289 | 209 | **126** |
A straight ramp down from cruise to ~126, and dividing by the ~1.2 time-base factor
the endpoints are the definition's own numbers again — 363 against
`CruisingVelocity` **350** and 105 against `MinimumVelocity` **100**. So the throttle
law is symmetric:
```
RT held: target = Cruising + RT · (Maximum Cruising)
LT held: target = Cruising LT · (Cruising Minimum)
```
## Roll
Roll turns the craft about its own forward axis, so it has to be measured on a
different row of the rotation matrix than pitch was:
| phase | rate per 1 s window | mean |
|---|---|---|
| minimum speed + full roll | 171 · 103 · 157 | **~144 °/s** |
| maximum speed + full roll | 140 · 145 · 164 | **~150 °/s** |
**Roll shows no speed dependence** — the two regimes agree inside the noise, where
pitch dropped by a third to a half between them. Against the definition
(`AV_Roll_Min` 200, `AV_Roll_Max` 125) the measured ~145 °/s is ~121 after the
time-base factor, i.e. **the `Max` value in both regimes**.
So the `_Min`/`_Max` pair does *not* mean the same thing for every axis: pitch
interpolates between them with speed, roll appears pinned at `Max`. A
reimplementation that applies one rule to all axes would get roll wrong at low
speed by ~60 %.
🟡 Caveat kept: the roll phases were 2 s of settling apart, which is marginal for a
full 126 → 1 342 speed change, so "no dependence" is a measurement over a real but
not perfectly separated pair of regimes.
Raw samples: [`captures/throttle-curve-lt.csv`](captures/throttle-curve-lt.csv) ·
[`captures/turn-law-roll.csv`](captures/turn-law-roll.csv).

View File

@@ -0,0 +1,89 @@
#!/usr/bin/env python3
"""Two measurements the first flight-model pass left open, in ONE flight.
1. **The `LT` half of the throttle curve** — `RT` was walked 0→1 and gave
`target = CruisingVelocity + RT·(MaximumVelocity CruisingVelocity)`; `LT`
should mirror it down to `MinimumVelocity`.
2. **Roll rate** vs `AV_Roll_{Min,Max}` (200 / 125 °/s). Roll turns the craft about
its own forward axis, so the forward vector barely moves (35 °/s residual, which
is how `LX` was identified as roll at all) — measure a DIFFERENT matrix row.
Binding happens first and fast: the entity scan searches *changing* position
triples, so it only sees the craft while it still has speed. A mission left idling
drops out of the scan entirely.
Usage: flight_law2.py <out-prefix> [dwell_s]
"""
import json, math, os, struct, subprocess, sys, time
sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
import speed_law
def pad(*a):
subprocess.run(["vgamepad", *a], capture_output=True)
def row_at(fd, off, cfg, row):
at = off + cfg["rot_delta"] + row * cfg["rot_stride"]
v = struct.unpack(">3f", os.pread(fd, 12, at))
n = math.sqrt(sum(c * c for c in v)) or 1.0
return tuple(c / n for c in v)
def ang(a, b):
d = max(-1.0, min(1.0, sum(a[i] * b[i] for i in range(3))))
return math.degrees(math.acos(d))
def main():
prefix = sys.argv[1]
dwell = float(sys.argv[2]) if len(sys.argv) > 2 else 4.0
cfg = json.load(open("/tmp/nav-live.json"))
w, off, nm = speed_law.find_player()
if not w:
sys.exit("player entity not found after retries")
print(f"# locked on {nm}")
# ── 1. LT curve (speed from position) ─────────────────────────────────────
lt_rows = []
for v in (0.0, 0.25, 0.5, 0.75, 1.0):
pad("trig", "RT", "0.0"); pad("trig", "LT", str(v))
time.sleep(2.0)
seq, t0 = [], time.time()
while time.time() - t0 < dwell:
seq.append((round(time.time() - t0, 3), *speed_law.pos_at(w.fd, off)))
time.sleep(0.05)
lt_rows += [(v, *s) for s in seq]
a, b = seq[0], seq[-1]
print(f"# LT={v:<5} speed {math.dist(a[1:], b[1:]) / (b[0] - a[0]):7.0f}/s")
# ── 2. Roll rate, measured on a non-forward row ───────────────────────────
roll_rows = []
other = 1 if cfg.get("fwd_row", 0) != 1 else 2
for label, trig in (("slow_roll", "LT"), ("fast_roll", "RT")):
pad("trig", "RT", "0.0"); pad("trig", "LT", "0.0")
pad("trig", trig, "1.0")
time.sleep(2.0)
pad("axis", "LX", "1.0")
seq, t0 = [], time.time()
while time.time() - t0 < dwell:
seq.append((round(time.time() - t0, 3), *row_at(w.fd, off, cfg, other)))
time.sleep(0.05)
pad("axis", "LX", "0.0")
roll_rows += [(label, *s) for s in seq]
rates = []
for t in range(int(dwell) - 1):
a = [s for s in seq if s[0] >= t][0]
b = [s for s in seq if s[0] <= t + 1][-1]
rates.append(ang(a[1:], b[1:]) / (b[0] - a[0]))
print(f"# {label:<10} row {other} turn rate: " + " ".join(f"{r:6.1f}" for r in rates) + " deg/s")
pad("trig", "RT", "0.0"); pad("trig", "LT", "0.0"); pad("reset")
with open(prefix + "-lt.csv", "w") as f:
f.write("lt,t,x,y,z\n")
for r in lt_rows:
f.write(",".join(str(x) for x in r) + "\n")
with open(prefix + "-roll.csv", "w") as f:
f.write("phase,t,ux,uy,uz\n")
for r in roll_rows:
f.write(",".join(str(x) for x in r) + "\n")
print(f"# wrote {prefix}-lt.csv and {prefix}-roll.csv")
if __name__ == "__main__":
main()