← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (1554 chars)
There's a bug in choose_eps: `min((...), default=mp.mpf(half := 3.0))` — the walrus in the default is weird and `half` is the outer argument anyway (3.0). Let me fix: default=mp.mpf(3.0). Actually `min(generator, default=...)` works in Python 3.4+. The walrus assignment inside is ugly but works... actually `mp.mpf(half := 3.0)` — reassigning half. It works but is bad style; worse, `half` is a function parameter so it's fine locally. But let me clean it.
Also: in choose_eps, `best = (cl, eps)` — cl is mpf, fine. But comparing `cl > best[0]` where best[0] starts as int -1 — fine.
One more check: `dser` returns (s, K); `neg_ld` returns (s, K) or (s, 0). In `integrand` I unpack `d, _ = neg_ld(...)` ✓.
In `integrate`, for the right part when sig < 5 uses mpmath ✓ else integrand() which internally also routes — slight double-routing but consistent.
Potential issue: mp.zetazero at dps 50 for j up to ~800 — fine, deterministic.
`zeros_near` returns mpf imag values. `choose_eps` min over |T0+eps − g| where T0+eps is float+mpf... T0 is mpf (c*sq — c is float, sq is mpf → mpf). eps is python float. T0 + eps → mpf ✓.
Also, in rows, `"eps": str(eps)` — eps is a float like 0.05 — deterministic ✓.
Fix the walrus and run a quick smoke test: syntax check + tiny partial run. Let me first do a python -m py_compile, then run the script detached (it'll take minutes). Actually let me first do a fast foreground sanity check of the core functions at n=1000 with coarse settings via a one-liner to catch runtime errors before the long detached run.
Fixing a sloppy walrus in `choose_eps`, then smoke-testing the core functions before the detached run.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-032-horizontal-true-integral.py",
"old_string": " cl = min((abs(T0 + eps - g) for g in zs), default=mp.mpf(half := 3.0))",
"new_string": " cl = min((abs(T0 + eps - g) for g in zs), default=mp.mpf(3))"
}
tool: Bash
input
{
"command": "cd D:/Python/Quantum && ./.venv/Scripts/python.exe -m py_compile research/numerics/scripts/E-032-horizontal-true-integral.py && echo COMPILE_OK",
"description": "Syntax-check the E-032 script"
}
raw content_json (database row)
[{"type":"thinking","thinking":"There's a bug in choose_eps: `min((...), default=mp.mpf(half := 3.0))` — the walrus in the default is weird and `half` is the outer argument anyway (3.0). Let me fix: default=mp.mpf(3.0). Actually `min(generator, default=...)` works in Python 3.4+. The walrus assignment inside is ugly but works... actually `mp.mpf(half := 3.0)` — reassigning half. It works but is bad style; worse, `half` is a function parameter so it's fine locally. But let me clean it.\n\nAlso: in choose_eps, `best = (cl, eps)` — cl is mpf, fine. But comparing `cl > best[0]` where best[0] starts as int -1 — fine.\n\nOne more check: `dser` returns (s, K); `neg_ld` returns (s, K) or (s, 0). In `integrand` I unpack `d, _ = neg_ld(...)` ✓.\n\nIn `integrate`, for the right part when sig < 5 uses mpmath ✓ else integrand() which internally also routes — slight double-routing but consistent.\n\nPotential issue: mp.zetazero at dps 50 for j up to ~800 — fine, deterministic.\n\n`zeros_near` returns mpf imag values. `choose_eps` min over |T0+eps − g| where T0+eps is float+mpf... T0 is mpf (c*sq — c is float, sq is mpf → mpf). eps is python float. T0 + eps → mpf ✓.\n\nAlso, in rows, `\"eps\": str(eps)` — eps is a float like 0.05 — deterministic ✓.\n\nFix the walrus and run a quick smoke test: syntax check + tiny partial run. Let me first do a python -m py_compile, then run the script detached (it'll take minutes). Actually let me first do a fast foreground sanity check of the core functions at n=1000 with coarse settings via a one-liner to catch runtime errors before the long detached run.","signature":""},{"type":"text","text":"Fixing a sloppy walrus in `choose_eps`, then smoke-testing the core functions before the detached run."},{"type":"tool_use","id":"Edit_13","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\numerics\\scripts\\E-032-horizontal-true-integral.py","old_string":" cl = min((abs(T0 + eps - g) for g in zs), default=mp.mpf(half := 3.0))","new_string":" cl = min((abs(T0 + eps - g) for g in zs), default=mp.mpf(3))"},"extra_content":null},{"type":"tool_use","id":"Bash_14","name":"Bash","input":{"command":"cd D:/Python/Quantum && ./.venv/Scripts/python.exe -m py_compile research/numerics/scripts/E-032-horizontal-true-integral.py && echo COMPILE_OK","description":"Syntax-check the E-032 script"},"extra_content":null}]