From 55ee170b7bd0f153a6267270850d5332818a1de6 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 16:36:51 +0200 Subject: [PATCH 01/20] Add ERA5 buoyancy-topology analysis pipeline Population study over 569,478 random ERA5 ocean columns (1980-2024) of lifted-parcel buoyancy topologies and LNB-convention sensitivity for the three parcels used by potential intensity, companion to discontinuity_analysis/ (issue #77). Contents: the sample builder (build_tcpypi_era5_sample.py, reads public ARCO-ERA5, reproduces the published S3 parquets bit-for-bit from its seeds), the scan pipeline (topology/crossings/partial sums under four LNB conventions; full pi() under each convention including the wild-population legacy non-convergence census of 8-in-476k; three-parcel scan at converged P_M), figure generators, and the Sounding Scope interactive flipbook template. Paths are portable via ERA5_SCRATCH; tcpyPI imports resolve against this repo's src/. Headline numbers in era5_analysis/README.md. Generated-with: Claude Fable 5 --- era5_analysis/README.md | 81 ++++ era5_analysis/build_tcpypi_era5_sample.py | 225 ++++++++++ era5_analysis/buoyancy_scan.py | 271 ++++++++++++ era5_analysis/convert.py | 52 +++ era5_analysis/export_stats.py | 124 ++++++ era5_analysis/figures/curves_parcel_A.png | Bin 0 -> 997792 bytes era5_analysis/figures/curves_parcel_B.png | Bin 0 -> 660326 bytes era5_analysis/figures/curves_parcel_C.png | Bin 0 -> 467448 bytes era5_analysis/gen_curves.py | 78 ++++ era5_analysis/pi_conv.py | 257 ++++++++++++ era5_analysis/plot_curves.py | 86 ++++ era5_analysis/prep_artifact_data.py | 145 +++++++ era5_analysis/scan_final.py | 304 ++++++++++++++ era5_analysis/scan_pi_parcels.py | 236 +++++++++++ era5_analysis/sounding_scope_template.html | 459 +++++++++++++++++++++ era5_analysis/validate_scan.py | 76 ++++ 16 files changed, 2394 insertions(+) create mode 100644 era5_analysis/README.md create mode 100644 era5_analysis/build_tcpypi_era5_sample.py create mode 100644 era5_analysis/buoyancy_scan.py create mode 100644 era5_analysis/convert.py create mode 100644 era5_analysis/export_stats.py create mode 100644 era5_analysis/figures/curves_parcel_A.png create mode 100644 era5_analysis/figures/curves_parcel_B.png create mode 100644 era5_analysis/figures/curves_parcel_C.png create mode 100644 era5_analysis/gen_curves.py create mode 100644 era5_analysis/pi_conv.py create mode 100644 era5_analysis/plot_curves.py create mode 100644 era5_analysis/prep_artifact_data.py create mode 100644 era5_analysis/scan_final.py create mode 100644 era5_analysis/scan_pi_parcels.py create mode 100644 era5_analysis/sounding_scope_template.html create mode 100644 era5_analysis/validate_scan.py diff --git a/era5_analysis/README.md b/era5_analysis/README.md new file mode 100644 index 0000000..971cc14 --- /dev/null +++ b/era5_analysis/README.md @@ -0,0 +1,81 @@ +# ERA5 buoyancy-topology analysis + +Population study of lifted-parcel buoyancy topologies and LNB-convention +sensitivity over 569,478 random ERA5 ocean columns (1980–2024), for the three +parcels used by the tcpyPI potential-intensity calculation. Companion to +`discontinuity_analysis/` (the issue #77 root-cause study): this directory +measures, at climatological scale, how often the multi-crossing buoyancy +structures behind that failure occur and how much the LNB definition matters. + +## Data + +Input sample (public ARCO-ERA5, no credentials needed to rebuild): + + s3://gridded-data-dev/bmares/2026-07-18-era5-tcpypi-sample/ + tcpypi_inputs_1000h_seed20260718.parquet (~40 MB, ~142k columns) + tcpypi_inputs_4000h_seed20260719.parquet (~154 MB, 569,478 columns) + +Rebuild from scratch with `build_tcpypi_era5_sample.py` (see its docstring for +the exact commands and the conversion recipe; schema metadata inside the +parquet carries units, levels, sampling parameters, and caveats). + +## Pipeline + +All scripts read/write a work directory: `export ERA5_SCRATCH=...` (default: +`./work`). They import tcpyPI from this repository's `src/` (numba required; +scientific results in the writeups used the max-work cape() of the +`lnb-max-work` branch — the scan scripts implement both conventions +internally, so the checked-out kernel only matters for `validate_scan.py` +and `pi_conv.py` cross-checks). + +1. `convert.py` — parquet -> `profiles_converted.npz` (units, bottom-up + level order, r = q/(1-q)); expects the parquet at + `$ERA5_SCRATCH/profiles.parquet`. +2. `buoyancy_scan.py` — environmental-parcel topology/crossings/partial-sums + scan under four LNB conventions -> `buoyancy_scan_results.npz`. +3. `validate_scan.py` — cross-check E_top/E_max against real legacy/max-work + `cape()` on random profiles. +4. `export_stats.py` — per-profile results parquet + population statistics. +5. `pi_conv.py` — full pi() under four LNB conventions (2.28M solves) + -> `pi_conv_results.npz` (+ flat parquet); includes the wild-population + legacy non-convergence census. +6. `scan_final.py` — the definitive three-parcel scan (A environmental, + B eyewall, C saturated core at each column's converged max-work P_M), + perturbation-convention topology labels, candidate-based conventions + -> `parcel_topology_final.npz`. +7. `scan_pi_parcels.py` — earlier two-parcel scan + hybrid-vs-ln(p) + quadrature comparison (kept for the quadrature numbers). +8. `gen_curves.py` + `plot_curves.py` — spaghetti figures per topology class + (`figures/curves_parcel_{A,B,C}.png`). +9. `prep_artifact_data.py` + `sounding_scope_template.html` — the interactive + "Sounding Scope" flipbook (inject `artifact_data.json` into the template's + `__DATA__` placeholder to obtain a single self-contained HTML file). + +## Headline results (TC-relevant subset: SST >= 26 C, sp >= 1000 hPa) + +- Topology frequencies (perturbation convention: leading sign taken + infinitesimally above launch): parcel A is a rich mixture (`+-+-` 32%, + `-+-` 17%, `+-+-+-` 16%, `+-` 14%, ...); parcel B is 84% `+-` with a 16% + multi-hump tail; parcel C is 98.4% `+-` plus 1.24% `+` (buoyant at the + 70 hPa retained-column top). +- LNB-convention sensitivity is inversely proportional to parcel energy: + E_top clamps to 0 while E_max > 0 on 15.4% (A), 1.75% (B), 0.00% (C) of + columns; |E_top - E_max| > 1 J/kg on 13.1% / 5.7% / 0.0%. +- Full-pi() convention comparison over 476k columns (SST > 5 C): + legacy topmost-level LNB fails to converge on 8 columns (~1 in 60,000; + median max-work VMAX 64 m/s — real storm environments returned missing); + max-work fails on 0; first-crossing and lifted-ballistic conventions fail + ~20x more often than legacy. Where PI matters (SST >= 26), top vs max + agree to p99 = 0.53 m/s. +- ptop clipping: the 1.24% of `+`-topology core parcels all cross between + 70 and 53 hPa (median 68.6) when the column is extended to 20 hPa — the + data exists (ERA5 reaches 1 hPa); tcpyPI's ptop=50 retention cuts at + 70 hPa. The entropy solver's `ENEW > P-1` guard prevents extension beyond + ~10-20 hPa without modification. +- Strict from-rest ballistic CAPE is degenerate for surface-launched + environmental parcels (b(launch) = 0 by construction and surface CIN or + neutral layering is universal); the lifted-to-LFC variant is the + meaningful ballistic convention. + +Outputs referenced above (results parquets, npz files) are regenerated by +the pipeline; the two published to date live next to the input sample on S3. diff --git a/era5_analysis/build_tcpypi_era5_sample.py b/era5_analysis/build_tcpypi_era5_sample.py new file mode 100644 index 0000000..f13ce0e --- /dev/null +++ b/era5_analysis/build_tcpypi_era5_sample.py @@ -0,0 +1,225 @@ +#!/usr/bin/env python3 +"""Assemble generic tcpyPI input samples from ARCO-ERA5. + +What it does +------------ +For N random hours in [1980, 2025), it reads four ERA5 fields from the public +Analysis-Ready Cloud-Optimized ERA5 store on GCS (no credentials needed): + + sea_surface_temperature, surface_pressure (single level) + temperature, specific_humidity (37 pressure levels) + +For each hour it draws M cosine-weighted (equal-area) random lat/lon points, +snaps them to the 0.25 deg grid, discards land points (NaN SST), and emits one +record per surviving ocean point containing latitude, longitude, time, the two +surface scalars, and the two 37-level vertical profiles. Output is a single +zstd-compressed parquet file whose schema metadata carries the pressure levels, +units, the exact tcpyPI conversion recipe, the sampling parameters, and known +data caveats. + +Provenance / vendoring +---------------------- +The ARCO-ERA5 URL and the variable set are taken from Climate Central's +attribution pipeline (attribution/hurricanes/aggregate.py, which uses the same +store for hurricane potential-intensity climatology) but are inlined here so +this script stands entirely on its own. + +Requirements (all pip-installable, no attribution package): + pip install numpy pandas pyarrow xarray zarr gcsfs + +Reading the ARCO store is anonymous/public; writing a local parquet needs no +credentials. (Uploading the result to S3 is out of scope for this script.) + +Reproduce the two published samples +----------------------------------- + python build_tcpypi_era5_sample.py --n-hours 1000 --seed 20260718 \ + --threads 8 --out tcpypi_inputs_1000h_seed20260718.parquet + python build_tcpypi_era5_sample.py --n-hours 4000 --seed 20260719 \ + --threads 8 --out tcpypi_inputs_4000h_seed20260719.parquet + +Convert a stored record to tcpyPI inputs +---------------------------------------- + SST_C = sst_K - 273.15 + MSL_hPa = sp_Pa / 100.0 # over ocean surface_pressure ~= MSL + P_hPa = pressure_level_hPa # from file metadata (ascending index) + T_C = temperature_K - 273.15 + R_gkg = 1000 * q / (1 - q) # q = specific_humidity_kgkg +""" + +import argparse +import json +import time as _time +from concurrent.futures import ThreadPoolExecutor + +import numpy as np +import pandas as pd +import pyarrow as pa +import pyarrow.parquet as pq +import xarray as xr + +# --- vendored constants (see attribution/hurricanes/aggregate.py) ------------- +ARCO_URL = "gs://gcp-public-data-arco-era5/ar/full_37-1h-0p25deg-chunk-1.zarr-v3" +SURFACE_VARS = ("sea_surface_temperature", "surface_pressure") +PROFILE_VARS = ("temperature", "specific_humidity") + +# ERA5 0.25 deg grid geometry: latitude[i] = 90 - 0.25*i (i in 0..720), +# longitude[j] = 0.25*j (j in 0..1439). +LAT0, DLAT, NLAT = 90.0, 0.25, 721 +DLON, NLON = 0.25, 1440 +TIME_START, TIME_STOP = "1980-01-01", "2025-01-01" # [start, stop) + + +def parse_args(): + p = argparse.ArgumentParser(description=__doc__.splitlines()[0]) + p.add_argument("--n-hours", type=int, default=1000, + help="number of distinct random hours to sample") + p.add_argument("--n-points", type=int, default=200, + help="random lat/lon points drawn per hour (before land filter)") + p.add_argument("--seed", type=int, default=20260718) + p.add_argument("--threads", type=int, default=8, + help="concurrent hours (I/O bound; each holds ~0.3 GB)") + p.add_argument("--out", type=str, required=True, help="output .parquet path") + return p.parse_args() + + +def open_arco(): + """Open the public ARCO-ERA5 store lazily (anonymous access).""" + return xr.open_zarr(ARCO_URL, chunks=None, storage_options=dict(token="anon")) + + +def sample_grid_indices(rng, n): + """Draw n cosine-weighted (equal-area) points; return nearest grid indices. + + Latitude density proportional to cos(lat) is achieved by lat = arcsin(U), + U ~ Uniform(-1, 1); longitude is uniform on [0, 360). + """ + lat = np.degrees(np.arcsin(rng.uniform(-1.0, 1.0, size=n))) + lon = rng.uniform(0.0, 360.0, size=n) + lat_idx = np.rint((LAT0 - lat) / DLAT).astype(int).clip(0, NLAT - 1) + lon_idx = np.rint(lon / DLON).astype(int) % NLON + return lat_idx, lon_idx + + +def process_hour(ds, it, timestamp, rng, n_points): + """Read one hour's global fields, sample points, keep ocean points.""" + t_arr = ds.temperature.isel(time=it).values # (37, 721, 1440) K + q_arr = ds.specific_humidity.isel(time=it).values # (37, 721, 1440) kg/kg + sp_arr = ds.surface_pressure.isel(time=it).values # (721, 1440) Pa + sst_arr = ds.sea_surface_temperature.isel(time=it).values # (721, 1440) K + + lat_idx, lon_idx = sample_grid_indices(rng, n_points) + sst_pt = sst_arr[lat_idx, lon_idx] + keep = np.isfinite(sst_pt) + lat_idx, lon_idx = lat_idx[keep], lon_idx[keep] + if lat_idx.size == 0: + return None + + return dict( + latitude=(LAT0 - DLAT * lat_idx).astype("float32"), + longitude=(((DLON * lon_idx + 180.0) % 360.0) - 180.0).astype("float32"), + time=np.repeat(np.datetime64(timestamp, "ns"), lat_idx.size), + sst_K=sst_pt[keep].astype("float32"), + sp_Pa=sp_arr[lat_idx, lon_idx].astype("float32"), + temperature_K=t_arr[:, lat_idx, lon_idx].T.astype("float32"), # (n, 37) + specific_humidity_kgkg=q_arr[:, lat_idx, lon_idx].T.astype("float32"), + ) + + +def build_metadata(levels, args): + return { + b"source": ARCO_URL.encode(), + b"pressure_level_hPa": json.dumps(levels.tolist()).encode(), + b"units": json.dumps({ + "sst_K": "K", "sp_Pa": "Pa", "temperature_K": "K", + "specific_humidity_kgkg": "kg/kg", "pressure_level": "hPa", + "latitude": "degrees_north", "longitude": "degrees_east (-180..180)", + }).encode(), + b"profile_order": ( + b"ascending pressure_level index " + b"(level[0]=1 hPa ... level[-1]=1000 hPa)" + ), + b"tcpyPI_conversion": json.dumps({ + "SST_C": "sst_K - 273.15", + "MSL_hPa": "sp_Pa / 100.0 (over ocean surface_pressure ~= MSL)", + "P_hPa": "pressure_level_hPa", + "T_C": "temperature_K - 273.15", + "R_gkg": "1000 * q/(1-q) with q = specific_humidity_kgkg", + }).encode(), + b"sampling": json.dumps({ + "n_hours": args.n_hours, "n_points_per_hour": args.n_points, + "seed": args.seed, "time_window": f"[{TIME_START}, {TIME_STOP})", + "lat_weighting": "cosine (equal-area via arcsin)", + "land_filter": "dropped points with NaN sea_surface_temperature", + }).encode(), + b"known_caveats": json.dumps({ + "inland_lakes": ( + "ERA5 sea_surface_temperature is defined over large/high-elevation " + "inland lakes (Victoria ~885 hPa, Titicaca ~633 hPa, Urmia, etc.), so " + "~0.1% of records are lakes, not open ocean. Filter on sp_Pa " + "(e.g. >= 95000) if only open ocean is desired." + ), + "negative_specific_humidity": ( + "A tiny fraction of stratospheric q values are slightly negative " + "(~-4e-6 kg/kg), an ERA5 interpolation artifact; negligible for tcpyPI." + ), + }).encode(), + } + + +def main(): + args = parse_args() + rng = np.random.default_rng(args.seed) + + ds = open_arco() + levels = ds.level.values.astype("int64") # hPa + + times = pd.DatetimeIndex(ds.time.values) + valid = np.where((times >= TIME_START) & (times < TIME_STOP))[0] + chosen = np.sort(rng.choice(valid, size=args.n_hours, replace=False)) + print(f"sampling {args.n_hours} hours x {args.n_points} pts; " + f"valid hour pool={valid.size}; threads={args.threads}", flush=True) + + # Independent per-hour RNGs => result is identical regardless of thread order. + hour_rngs = [np.random.default_rng([args.seed, int(it)]) for it in chosen] + + def _run(k): + it = int(chosen[k]) + t0 = _time.time() + rec = process_hour(ds, it, times[it], hour_rngs[k], args.n_points) + kept = 0 if rec is None else rec["latitude"].size + print(f" hour {k + 1}/{args.n_hours} {times[it]} " + f"kept={kept}/{args.n_points} ({_time.time() - t0:.1f}s)", flush=True) + return rec + + t_start = _time.time() + if args.threads > 1: + with ThreadPoolExecutor(max_workers=args.threads) as ex: + recs = list(ex.map(_run, range(args.n_hours))) + else: + recs = [_run(k) for k in range(args.n_hours)] + recs = [r for r in recs if r is not None] + + cat = {key: np.concatenate([r[key] for r in recs]) for key in recs[0]} + elapsed = _time.time() - t_start + print(f"total ocean records: {cat['latitude'].size} ({elapsed:.1f}s, " + f"{elapsed / args.n_hours:.2f}s/hour)", flush=True) + + table = pa.table({ + "latitude": pa.array(cat["latitude"]), + "longitude": pa.array(cat["longitude"]), + "time": pa.array(cat["time"]), + "sst_K": pa.array(cat["sst_K"]), + "sp_Pa": pa.array(cat["sp_Pa"]), + "temperature_K": pa.array( + list(cat["temperature_K"]), type=pa.list_(pa.float32()) + ), + "specific_humidity_kgkg": pa.array( + list(cat["specific_humidity_kgkg"]), type=pa.list_(pa.float32()) + ), + }).replace_schema_metadata(build_metadata(levels, args)) + pq.write_table(table, args.out, compression="zstd") + print(f"wrote {args.out} rows={table.num_rows}", flush=True) + + +if __name__ == "__main__": + main() diff --git a/era5_analysis/buoyancy_scan.py b/era5_analysis/buoyancy_scan.py new file mode 100644 index 0000000..a36b466 --- /dev/null +++ b/era5_analysis/buoyancy_scan.py @@ -0,0 +1,271 @@ +"""Buoyancy-topology scan over ERA5 profiles (tcpyPI thermodynamic conventions). + +For each profile, lift the lowest-level parcel (cape()'s environmental-parcel +semantics, ascent_flag=0, ptop=50 -> 28 retained levels 1000..70 hPa), compute +the buoyancy (density-temperature difference) at each level, and extract: +sign topology, interpolated crossings (log-pressure), per-region unsigned CAPE +contributions, running signed partial sums, argmax, and CAPE under the four +LNB conventions (legacy topmost / max-work / ballistic-reachable / first-LNB). + +Outputs padded arrays in buoyancy_scan_results.npz (MAXR regions). +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import os +import sys +import time + +sys.path.insert(0, _SRC) + +import numpy as np +from numba import njit, prange + +from tcpyPI import constants, utilities +from tcpyPI.pi import solve_temperature_from_entropy + + +MAXR = 28 # = retained level count; regions can never exceed this +PTOP = 50.0 + +RD = constants.RD + + +@njit(cache=True) +def scan_one(TC, Rgkg, P, nlvl, srow, + region_abs, region_peak, psums, cross_lnp): + """Scan one profile, filling srow = [iflag, n, first_pos, argmax, clipped, + clamped, E_top, E_max, E_reach, E_first, LNB_top, LNB_max, LNB_reach, + LNB_first, lcl, b_low, b_top] and the padded per-region rows.""" + T = TC + 273.15 + R = Rgkg * 0.001 + + TP = T[0] + RP = R[0] + PP = P[0] + if (RP < 1e-6) or (TP < 200.0): + srow[0] = 0.0 + srow[3] = -1.0 + return + + TPC = utilities.T_ktoC(TP) + ESP = utilities.es_cc(TPC) + EVP = utilities.ev(RP, PP) + RH = min(EVP / ESP, 1.0) + S = utilities.entropy_S(TP, RP, PP) + PLCL = utilities.e_pLCL(TP, RH, PP) + + # buoyancy profile (identical formulas to cape()) + b = np.empty(nlvl) + for j in range(nlvl): + if P[j] >= PLCL: + TG = TP * (P[j] / PP) ** (constants.RD / constants.CPD) + RG = RP + TLVR = utilities.Trho(TG, RG, RG) + TVENV = utilities.Trho(T[j], R[j], R[j]) + b[j] = TLVR - TVENV + else: + TG, RG, IFLAG = solve_temperature_from_entropy(S, P[j], RP, T[j]) + if IFLAG == 2: + srow[0] = 2.0 + srow[3] = -1.0 + srow[14] = PLCL + return + TLVR = utilities.Trho(TG, RP, RG) # reversible ascent (ascent_flag=0) + TENV = utilities.Trho(T[j], R[j], R[j]) + b[j] = TLVR - TENV + + # --- segmentation into alternating sign regions (b > 0 is '+') --- + first_pos = 1 if b[0] > 0.0 else 0 + k = 0 # current region index + W = 0.0 # running signed work + region_abs[0] = 0.0 + region_peak[0] = abs(b[0]) + cross_p = np.empty(MAXR) # crossing pressures (region ends), local + for j in range(1, nlvl): + b0 = b[j - 1] + b1 = b[j] + pos0 = b0 > 0.0 + pos1 = b1 > 0.0 + if pos0 != pos1: + # region boundary: interpolated crossing (node itself if b hits 0) + if b0 * b1 < 0.0: + PC = (P[j] * b0 - P[j - 1] * b1) / (b0 - b1) + else: + PC = P[j] if b1 == 0.0 else P[j - 1] + piece0 = RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) + piece1 = RD * b1 * (PC - P[j]) / (PC + P[j]) + region_abs[k] += abs(piece0) + cross_p[k] = PC + cross_lnp[k] = np.log(PC) + W += piece0 + psums[k] = W + k += 1 + region_abs[k] = abs(piece1) + region_peak[k] = abs(b1) + W += piece1 + else: + piece = RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) + region_abs[k] += abs(piece) + if abs(b1) > region_peak[k]: + region_peak[k] = abs(b1) + W += piece + n = k + 1 + psums[k] = W + cross_p[k] = P[nlvl - 1] # last region "ends" at the profile top + nstore = n + + # --- diagnostics from the partial sums --- + # argmax of partial sums (-1 if all <= 0) + best = -np.inf + aidx = -1 + for kk in range(nstore): + if psums[kk] > best: + best = psums[kk] + aidx = kk + if best <= 0.0: + aidx = -1 + + # sign of region kk: first_pos alternating + top_sign_pos = ((n - 1) % 2 == 0) == (first_pos == 1) + clipped = 1 if top_sign_pos else 0 + + # E_max (max-work) and its LNB + E_max = best if best > 0.0 else 0.0 + LNB_max = cross_p[aidx] if aidx >= 0 else 0.0 + + # E_top (legacy pcmin: signed integral to the topmost positive level, + # clamped at zero) + clamped = 0 + if n == 1 and first_pos == 0: + E_top = 0.0 + LNB_top = 0.0 + else: + if top_sign_pos: + raw = psums[nstore - 1] + LNB_top = cross_p[nstore - 1] + else: + raw = psums[nstore - 2] + LNB_top = cross_p[nstore - 2] + if raw < 0.0: + clamped = 1 + E_top = 0.0 + else: + E_top = raw + + # E_reach_strict (ballistic from rest at launch: max W over the first + # connected component of {W>0}; W monotone within regions, so region-end + # checks suffice). NOTE: b[0]=0 by construction and surface CIN is nearly + # universal, so this is ~always 0 for launch-level parcels. + E_reach = 0.0 + LNB_reach = 0.0 + for kk in range(nstore): + if psums[kk] > E_reach: + E_reach = psums[kk] + LNB_reach = cross_p[kk] + if psums[kk] <= 0.0: + break + + # index of the first positive region (the parcel's LFC-to-LNB layer) + r1 = 0 if first_pos == 1 else 1 + + # E_first (first-LNB convention: signed integral through any leading CIN + # up to the FIRST down-crossing), clamped at zero + if r1 < nstore: + E_first = psums[r1] if psums[r1] > 0.0 else 0.0 + LNB_first = cross_p[r1] + else: + E_first = 0.0 + LNB_first = 0.0 + + # E_reach_lfc (lifted-parcel ballistic: externally lifted to the LFC with + # zero kinetic energy, then coasting; kinetic energy at p is W(p) - floor, + # floor = W at LFC entry; stalls where W returns to the floor) + E_reach_lfc = 0.0 + LNB_reach_lfc = 0.0 + if r1 < nstore: + floor = psums[r1 - 1] if r1 >= 1 else 0.0 + best = -np.inf + for kk in range(r1, nstore): + if psums[kk] > best: + best = psums[kk] + LNB_reach_lfc = cross_p[kk] + if psums[kk] <= floor and kk > r1: + break + if best > 0.0: + E_reach_lfc = best + else: + LNB_reach_lfc = 0.0 + + srow[0] = 1.0 + srow[1] = n + srow[2] = first_pos + srow[3] = aidx + srow[4] = clipped + srow[5] = clamped + srow[6] = E_top + srow[7] = E_max + srow[8] = E_reach + srow[9] = E_first + srow[10] = LNB_top + srow[11] = LNB_max + srow[12] = LNB_reach + srow[13] = LNB_first + srow[14] = PLCL + srow[15] = b[0] + srow[16] = b[nlvl - 1] + srow[17] = E_reach_lfc + srow[18] = LNB_reach_lfc + return + + +@njit(parallel=True, cache=True) +def scan_all(TCs, Rs, P, nlvl, out_scalar, region_abs, region_peak, psums, cross_lnp): + nprof = TCs.shape[0] + for i in prange(nprof): + scan_one(TCs[i], Rs[i], P, nlvl, out_scalar[i], + region_abs[i], region_peak[i], psums[i], cross_lnp[i]) + + +def main(): + d = np.load(f"{SCRATCH}/profiles_converted.npz") + P_full = d["P"] + nlvl = int((P_full > PTOP).sum()) + P = P_full[:nlvl].copy() + TCs = d["TC"][:, :nlvl].copy() + Rs = d["R"][:, :nlvl].copy() + nprof = TCs.shape[0] + print(f"{nprof} profiles, {nlvl} retained levels ({P[0]:.0f}..{P[-1]:.0f} hPa)") + + out_scalar = np.full((nprof, 19), np.nan) + region_abs = np.full((nprof, MAXR), np.nan) + region_peak = np.full((nprof, MAXR), np.nan) + psums = np.full((nprof, MAXR), np.nan) + cross_lnp = np.full((nprof, MAXR - 1), np.nan) + + t0 = time.time() + scan_all(TCs[:100], Rs[:100], P, nlvl, out_scalar[:100], + region_abs[:100], region_peak[:100], psums[:100], cross_lnp[:100]) + print(f"compile+warmup: {time.time()-t0:.1f}s") + t0 = time.time() + scan_all(TCs, Rs, P, nlvl, out_scalar, region_abs, region_peak, psums, cross_lnp) + print(f"full scan: {time.time()-t0:.1f}s") + + np.savez_compressed( + f"{SCRATCH}/buoyancy_scan_results.npz", + scalar=out_scalar, region_abs=region_abs, region_peak=region_peak, + psums=psums, cross_lnp=cross_lnp, + scalar_names=np.array( + ["iflag", "n", "first_pos", "argmax", "clipped", "clamped", + "E_top", "E_max", "E_reach", "E_first", + "LNB_top", "LNB_max", "LNB_reach", "LNB_first", + "lcl_hPa", "b_low", "b_top", "E_reach_lfc", "LNB_reach_lfc"]), + ) + print("saved buoyancy_scan_results.npz") + + +if __name__ == "__main__": + main() diff --git a/era5_analysis/convert.py b/era5_analysis/convert.py new file mode 100644 index 0000000..f0c2915 --- /dev/null +++ b/era5_analysis/convert.py @@ -0,0 +1,52 @@ +"""parquet -> npz: units and ordering for the tcpyPI-convention scanner. + +Input arrays are top-down on the 37 standard ERA5 pressure levels. +Output: bottom-up (decreasing pressure) float64 arrays, T in Celsius, +mixing ratio r = q/(1-q) in g/kg, MSL-ish surface pressure in hPa. +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import numpy as np +import pandas as pd + + + +# standard ERA5 37 pressure levels, top-down (hPa) +PLEV_TD = np.array( + [1, 2, 3, 5, 7, 10, 20, 30, 50, 70, 100, 125, 150, 175, 200, 225, 250, + 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 775, 800, 825, 850, + 875, 900, 925, 950, 975, 1000], dtype=np.float64) + +df = pd.read_parquet(f"{SCRATCH}/profiles.parquet") +n = len(df) +print("profiles:", n) + +t = np.stack(df["temperature_K"].to_numpy()).astype(np.float64) # (n, 37) top-down +q = np.stack(df["specific_humidity_kgkg"].to_numpy()).astype(np.float64) + +# sanity: top-down ordering means q tiny at index 0 +assert np.nanmedian(q[:, 0]) < 1e-4 < np.nanmedian(q[:, -1]), "ordering assumption violated" + +TC = t[:, ::-1] - 273.15 # bottom-up, Celsius +r = q[:, ::-1] +r = r / (1.0 - r) * 1000.0 # specific humidity -> mixing ratio, g/kg +P = PLEV_TD[::-1].copy() # bottom-up: 1000 ... 1 + +np.savez( + f"{SCRATCH}/profiles_converted.npz", + P=P, + TC=np.ascontiguousarray(TC), + R=np.ascontiguousarray(r), + sst_C=df["sst_K"].to_numpy().astype(np.float64) - 273.15, + sp_hPa=df["sp_Pa"].to_numpy().astype(np.float64) / 100.0, + lat=df["latitude"].to_numpy().astype(np.float64), + lon=df["longitude"].to_numpy().astype(np.float64), + time=df["time"].to_numpy().astype("datetime64[s]").astype(np.int64), +) +print("saved profiles_converted.npz") +print("NaN rows (any T NaN):", int(np.isnan(TC).any(axis=1).sum())) +print("sp_hPa range:", df["sp_Pa"].min() / 100, df["sp_Pa"].max() / 100) diff --git a/era5_analysis/export_stats.py b/era5_analysis/export_stats.py new file mode 100644 index 0000000..4302cd2 --- /dev/null +++ b/era5_analysis/export_stats.py @@ -0,0 +1,124 @@ +"""Build the per-profile results parquet and print population statistics.""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import numpy as np +import pandas as pd + + + +d = np.load(f"{SCRATCH}/profiles_converted.npz") +res = np.load(f"{SCRATCH}/buoyancy_scan_results.npz") +sc = res["scalar"] +names = [str(x) for x in res["scalar_names"]] +ix = {n: i for i, n in enumerate(names)} +N = sc.shape[0] + +iflag = sc[:, ix["iflag"]].astype(np.int64) +n = np.where(np.isnan(sc[:, ix["n"]]), 0, sc[:, ix["n"]]).astype(np.int64) +first_pos = sc[:, ix["first_pos"]].astype(np.int64) + +# topology string: strictly alternating -> determined by (first sign, n) +topo = np.empty(N, dtype=object) +for i in range(N): + if iflag[i] != 1: + topo[i] = "" + continue + c0 = "+" if first_pos[i] == 1 else "-" + s = ("+-" if c0 == "+" else "-+") * ((n[i] + 1) // 2) + topo[i] = s[: n[i]] + +# ragged list columns, truncated to each row's n +cross = res["cross_lnp"] +rabs = res["region_abs"] +ps = res["psums"] +crossings, regions, partials = [], [], [] +for i in range(N): + k = n[i] + if iflag[i] != 1 or k == 0: + crossings.append([]); regions.append([]); partials.append([]) + else: + crossings.append(cross[i, : k - 1].tolist()) + regions.append(rabs[i, : k].tolist()) + partials.append(ps[i, : k].tolist()) + +df = pd.DataFrame({ + "latitude": d["lat"], "longitude": d["lon"], + "time": d["time"].astype("datetime64[s]"), + "sst_C": d["sst_C"], "sp_hPa": d["sp_hPa"], + "iflag": iflag, + "topology": topo, + "n_regions": n, + "crossings_lnp": crossings, + "region_cape_abs": regions, + "partial_sums": partials, + "argmax_partial": sc[:, ix["argmax"]].astype(np.int64), + "E_top": sc[:, ix["E_top"]], "E_max": sc[:, ix["E_max"]], + "E_reach_strict": sc[:, ix["E_reach"]], "E_first": sc[:, ix["E_first"]], + "E_reach_lfc": sc[:, ix["E_reach_lfc"]], + "LNB_top_hPa": sc[:, ix["LNB_top"]], "LNB_max_hPa": sc[:, ix["LNB_max"]], + "LNB_reach_strict_hPa": sc[:, ix["LNB_reach"]], + "LNB_reach_lfc_hPa": sc[:, ix["LNB_reach_lfc"]], + "LNB_first_hPa": sc[:, ix["LNB_first"]], + "clipped_top": sc[:, ix["clipped"]].astype(np.float64), + "clamped_E_top": sc[:, ix["clamped"]].astype(np.float64), + "lcl_hPa": sc[:, ix["lcl_hPa"]], + "b_lowest_K": sc[:, ix["b_low"]], "b_top_K": sc[:, ix["b_top"]], + "subsurface_launch": d["sp_hPa"] < 1000.0, +}) +df.to_parquet(f"{SCRATCH}/buoyancy_topology_4000h.parquet", index=False) +print(f"wrote buoyancy_topology_4000h.parquet ({len(df)} rows)\n") + +# ---------------- statistics ---------------- +ok = iflag == 1 +print(f"iflag: ok={ok.sum()} improper-parcel={(iflag==0).sum()} " + f"entropy-nonconv={(iflag==2).sum()}") +print(f"subsurface launch (sp<1000): {(d['sp_hPa']<1000).sum()} " + f"({100*(d['sp_hPa']<1000).mean():.1f}%)\n") + +v = df[ok] +print("=== topology distribution (n = number of sign regions) ===") +tc = v.groupby("n_regions").size() +for k, c in tc.items(): + print(f" n={k:2d}: {c:7d} ({100*c/len(v):6.2f}%)") +print(f" multi-crossing (n>=3): {(v.n_regions>=3).sum()} " + f"({100*(v.n_regions>=3).mean():.2f}%)") +print(" most common topologies:") +print(v.topology.value_counts().head(8).to_string()) + +print("\n=== convention disagreements (J/kg) ===") +for a, b in [("E_top", "E_max"), ("E_reach_lfc", "E_max"), ("E_first", "E_max"), + ("E_top", "E_reach_lfc"), ("E_reach_strict", "E_max")]: + dd = (v[a] - v[b]).abs() + print(f" |{a}-{b}|: >0.01: {(dd>0.01).sum():6d} ({100*(dd>0.01).mean():5.2f}%) " + f">10: {(dd>10).sum():6d} ({100*(dd>10).mean():5.2f}%) " + f"max={dd.max():9.2f} mean={dd.mean():7.3f}") + +pos = v[v.E_max > 0] +print(f"\nprofiles with positive max-work CAPE: {len(pos)} ({100*len(pos)/len(v):.1f}%)") +dd = (pos.E_top - pos.E_max).abs() +rel = dd / pos.E_max +print(f" among those, E_top disagrees >1%: {(rel>0.01).sum()} ({100*(rel>0.01).mean():.2f}%), " + f">50%: {(rel>0.5).sum()} ({100*(rel>0.5).mean():.2f}%)") +print(f" E_top clamped to 0 while E_max>0: {((pos.E_top==0)).sum()} " + f"({100*(pos.E_top==0).mean():.2f}%) (the issue-77 configuration)") +lnbd = (pos.LNB_top_hPa - pos.LNB_max_hPa).abs() +print(f" LNB_top vs LNB_max differ >50 hPa: {(lnbd>50).sum()} ({100*(lnbd>50).mean():.2f}%)") + +print(f"\nclamped E_top (raw signed integral < 0): {(v.clamped_E_top==1).sum()} " + f"({100*(v.clamped_E_top==1).mean():.2f}%)") +print(f"clipped at profile top (b>0 at {70:.0f} hPa): {(v.clipped_top==1).sum()} " + f"({100*(v.clipped_top==1).mean():.2f}%)") +print(f"argmax=-1 (all partial sums <=0): {(v.argmax_partial==-1).sum()} " + f"({100*(v.argmax_partial==-1).mean():.2f}%)") + +oc = v[~v.subsurface_launch] +print(f"\n=== same stats, ocean-valid launches only (sp>=1000; {len(oc)} rows) ===") +print(f" multi-crossing (n>=3): {100*(oc.n_regions>=3).mean():.2f}%") +p2 = oc[oc.E_max > 0] +print(f" E_max>0: {100*len(p2)/len(oc):.1f}%; E_top==0 among them: " + f"{100*(p2.E_top==0).mean():.2f}%; |E_top-E_max|>10 J/kg: " + f"{100*((p2.E_top-p2.E_max).abs()>10).mean():.2f}%") diff --git a/era5_analysis/figures/curves_parcel_A.png b/era5_analysis/figures/curves_parcel_A.png new file mode 100644 index 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zFSBDnqvBq@8V~Xm7G}?2!7>lVUL3BCGCzO*VPkPe$JNo1ka z!+6KVZK;2Wv!Wh}JLumhnar%&S)aIzXBX3d&8o%IsM ze*t{At}g;BKXCA1m}V#KZ-0Lvq0{61Sxs9UULszkd_-<2Ic{EGR7W@cg@H<*k^RfeH_3XWbwp6F=ac z*Sh8gx?w{{K+})4694{$JkTb{{P(rQm%P`nH~sgI*$rEZR{i(2!{2w+|NHWb(qI4U zyK7*z|NE17>QA} PTOP).sum()) +P = P_full[:nlvl].copy() +tc = (d["sst_C"] >= 26) & (d["sp_hPa"] >= 1000) & np.isfinite(z["PM"]) + +def topo_str(fs, n): + c0 = "+" if fs > 0 else "-" + return (("+-" if c0 == "+" else "-+") * ((int(n) + 1) // 2))[: int(n)] + +rng = np.random.default_rng(3) +out = {} +CLASSES = {"A": 6, "B": 4, "C": 3} +for pname, nclass in CLASSES.items(): + o = z[pname] + ok = tc & np.isfinite(o[:, 0]) & (o[:, 0] != 0) + keys = [(fs, n) for fs, n in {(o[i, 0], o[i, 1]) for i in np.where(ok)[0]}] + counts = {k: 0 for k in keys} + lab = np.full(len(o), -1) + keymap = {} + for i in np.where(ok)[0]: + k = (o[i, 0], o[i, 1]) + if k not in keymap: + keymap[k] = len(keymap) + lab[i] = keymap[k] + counts[k] += 1 + top = sorted(counts, key=lambda k: -counts[k])[:nclass] + Ntot = ok.sum() + for k in top: + rows = np.where(ok & (lab == keymap[k]))[0] + sel = rng.choice(rows, size=min(NSAMP, len(rows)), replace=False) + curves = np.empty((len(sel), nlvl)) + b = np.empty(nlvl) + for m, i in enumerate(sel): + T = d["TC"][i, :nlvl] + 273.15 + R = d["R"][i, :nlvl] * 0.001 + if pname == "A": + f = buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) + else: + PP = min(z["PM"][i], 1000.0) + if pname == "B": + MSL = d["sp_hPa"][i] + RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) + f = buoyancy(T[0], RP, PP, T, R, P, nlvl, b) + else: + SSTK = d["sst_C"][i] + 273.15 + ES0 = utilities.es_cc(d["sst_C"][i]) + f = buoyancy(SSTK, utilities.rv(ES0, PP), PP, T, R, P, nlvl, b) + curves[m] = b if f == 1 else np.nan + t = topo_str(*k) + share = 100.0 * counts[k] / Ntot + out[f"{pname}|{t}|{share:.2f}"] = curves + print(f"parcel {pname} {t:14s} {share:6.2f}% sampled {len(sel)}") + +np.savez_compressed(f"{SCRATCH}/topology_curves.npz", P=P, + **{k: v for k, v in out.items()}) +print("saved topology_curves.npz") diff --git a/era5_analysis/pi_conv.py b/era5_analysis/pi_conv.py new file mode 100644 index 0000000..af86647 --- /dev/null +++ b/era5_analysis/pi_conv.py @@ -0,0 +1,257 @@ +"""Potential intensity under four LNB conventions, over all ERA5 profiles. + +Conventions (terminal-point rule for every CAPE evaluation inside pi()): + 0 = top legacy pcmin: signed W at the crossing above the topmost + positive grid level (or profile top), clamped at 0 + 1 = max max-W: maximum of W over all region-end candidates (>=0) + 2 = first signed W at the first down-crossing, clamped at 0 + 3 = reach_lfc lifted-ballistic: best W in the component reachable from the + first positive region with floor = W at its entry + +Quadrature: running signed work with trapezoids split at every crossing +(<=1% from cape()'s unsplit-interval arithmetic; validated separately). +Outputs pi_conv_results.npz: (nprof, 4) arrays VMAX, PMIN, IFL, TO, OTL, NIT. +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import sys +import time + +sys.path.insert(0, _SRC) + +import numpy as np +from numba import njit, prange + +from tcpyPI import constants, utilities +from tcpyPI.pi import solve_temperature_from_entropy + + +PTOP = 50.0 +RD = constants.RD +EPS = constants.EPS +CKCD = 0.9 +V_REDUC = 0.8 + + +@njit(cache=True) +def cape_conv(TP, RP, PP, T, R, P, nlvl, conv): + """CAPE/TOB/LNB for one parcel under one convention. + Returns (E, TOB, LNB, flag): flag 1 ok, 0 improper parcel, 2 no-converge.""" + if (RP < 1e-6) or (TP < 200.0): + return 0.0, T[0], 0.0, 0 + + TPC = utilities.T_ktoC(TP) + ESP = utilities.es_cc(TPC) + EVP = utilities.ev(RP, PP) + RH = min(EVP / ESP, 1.0) + S = utilities.entropy_S(TP, RP, PP) + PLCL = utilities.e_pLCL(TP, RH, PP) + + b = np.empty(nlvl) + for j in range(nlvl): + if P[j] >= PLCL: + TG = TP * (P[j] / PP) ** (constants.RD / constants.CPD) + TLVR = utilities.Trho(TG, RP, RP) + b[j] = TLVR - utilities.Trho(T[j], R[j], R[j]) + else: + TG, RG, IFLAG = solve_temperature_from_entropy(S, P[j], RP, T[j]) + if IFLAG == 2: + return 0.0, T[0], P[0], 2 + TLVR = utilities.Trho(TG, RP, RG) + b[j] = TLVR - utilities.Trho(T[j], R[j], R[j]) + + # running signed work with per-crossing splits; region-end candidates + W = RD * (PP - P[0]) / (PP + P[0]) * b[0] # surface partial term + maxreg = nlvl + 1 + ps = np.empty(maxreg) # W at region ends + cp = np.empty(maxreg) # region-end pressures (crossing or top) + ct = np.empty(maxreg) # temperature at region ends (interp / top) + k = 0 + for j in range(1, nlvl): + b0 = b[j - 1] + b1 = b[j] + if (b0 > 0.0) != (b1 > 0.0): + if b0 * b1 < 0.0: + PC = (P[j] * b0 - P[j - 1] * b1) / (b0 - b1) + else: + PC = P[j] if b1 == 0.0 else P[j - 1] + W += RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) + ps[k] = W + cp[k] = PC + ct[k] = (T[j - 1] * (PC - P[j]) + T[j] * (P[j - 1] - PC)) / (P[j - 1] - P[j]) + k += 1 + W += RD * b1 * (PC - P[j]) / (PC + P[j]) + else: + W += RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) + ps[k] = W + cp[k] = P[nlvl - 1] + ct[k] = T[nlvl - 1] + n = k + 1 + first_pos = b[0] > 0.0 + top_pos = b[nlvl - 1] > 0.0 + + E = 0.0 + TOB = T[0] + LNB = 0.0 + if conv == 0: + # legacy: topmost positive grid level among j>=1 (pcmin's INB loop + # excludes the launch node) + has_pos = False + for j in range(1, nlvl): + if b[j] > 0.0: + has_pos = True + break + if has_pos: + kk = n - 1 if top_pos else n - 2 + if kk >= 0 and ps[kk] > 0.0: + E = ps[kk] + TOB = ct[kk] + LNB = cp[kk] + elif conv == 1: + best = 0.0 + for kk in range(n): + if ps[kk] > best: + best = ps[kk] + TOB = ct[kk] + LNB = cp[kk] + E = best + if E == 0.0: + TOB = T[0] + LNB = 0.0 + elif conv == 2: + r1 = 0 if first_pos else 1 + if r1 < n and ps[r1] > 0.0: + E = ps[r1] + TOB = ct[r1] + LNB = cp[r1] + else: + r1 = 0 if first_pos else 1 + if r1 < n: + floor = ps[r1 - 1] if r1 >= 1 else 0.0 + best = -np.inf + bi = -1 + for kk in range(r1, n): + if ps[kk] > best: + best = ps[kk] + bi = kk + if ps[kk] <= floor and kk > r1: + break + if best > 0.0: + E = best + TOB = ct[bi] + LNB = cp[bi] + return E, TOB, LNB, 1 + + +@njit(cache=True) +def pi_conv(SSTC, MSL, T, R, P, nlvl, conv): + """pi() minimum-pressure loop under one CAPE convention. + Returns (VMAX, PMIN, IFL, TO, OTL, NP).""" + SSTK = utilities.T_Ctok(SSTC) + if SSTC <= 5.0 or SSTC > 100.0: + return np.nan, np.nan, 0, np.nan, np.nan, 0 + if np.min(T) <= 100.0 or np.max(T) - 273.15 > 100.0: + return np.nan, np.nan, 0, np.nan, np.nan, 0 + ES0 = utilities.es_cc(SSTC) + + IFL = 1 + CAPEA, _, _, fA = cape_conv(T[0], R[0], P[0], T, R, P, nlvl, conv) + if fA != 1: + IFL = fA + + NP = 0 + PM = 970.0 + PMOLD = PM + PNEW = 0.0 + TO = np.nan + OTL = np.nan + CAPEM = 0.0 + CAPEMS = 0.0 + RAT = 1.0 + TVAV = 300.0 + while np.abs(PNEW - PMOLD) > 0.5: + PP = min(PM, 1000.0) + RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) + CAPEM, _, _, fM = cape_conv(T[0], RP, PP, T, R, P, nlvl, conv) + if fM != 1: + IFL = fM + RPS = utilities.rv(ES0, PP) + CAPEMS, TOMS, LNBS, fS = cape_conv(SSTK, RPS, PP, T, R, P, nlvl, conv) + if fS != 1: + IFL = fS + TO = TOMS + OTL = LNBS + RAT = SSTK / TO + TV0 = utilities.Trho(T[0], R[0], R[0]) + TVSST = utilities.Trho(SSTK, RPS, RPS) + TVAV = 0.5 * (TV0 + TVSST) + CAT = max((CAPEM - CAPEA) + 0.5 * CKCD * RAT * (CAPEMS - CAPEM), 0.0) + PNEW = MSL * np.exp(-CAT / (RD * TVAV)) + PMOLD = PM + PM = PNEW + NP += 1 + if (NP > 200) or (PM < 400.0): + return np.nan, np.nan, 2, np.nan, np.nan, NP + + CATFAC = 0.5 * (1.0 + 1.0 / constants.b) + CAT = max((CAPEM - CAPEA) + CKCD * RAT * CATFAC * (CAPEMS - CAPEM), 0.0) + PMIN = MSL * np.exp(-CAT / (RD * TVAV)) + FAC = max(0.0, CAPEMS - CAPEM) + VMAX = V_REDUC * np.sqrt(CKCD * RAT * FAC) + return VMAX, PMIN, IFL, TO, OTL, NP + + +@njit(parallel=True, cache=True) +def run_all(SST, MSL, TCs, Rs, P, nlvl, VMAX, PMIN, IFL, TO, OTL, NIT): + nprof = TCs.shape[0] + for i in prange(nprof): + T = TCs[i] + 273.15 + R = Rs[i] * 0.001 + for conv in range(4): + v, p, f, t, o, np_ = pi_conv(SST[i], MSL[i], T, R, P, nlvl, conv) + VMAX[i, conv] = v + PMIN[i, conv] = p + IFL[i, conv] = f + TO[i, conv] = t + OTL[i, conv] = o + NIT[i, conv] = np_ + + +def main(): + d = np.load(f"{SCRATCH}/profiles_converted.npz") + P_full = d["P"] + nlvl = int((P_full > PTOP).sum()) + P = P_full[:nlvl].copy() + TCs = d["TC"][:, :nlvl].copy() + Rs = d["R"][:, :nlvl].copy() + SST = d["sst_C"] + MSL = d["sp_hPa"] + nprof = TCs.shape[0] + + VMAX = np.full((nprof, 4), np.nan) + PMIN = np.full((nprof, 4), np.nan) + IFL = np.zeros((nprof, 4), dtype=np.int64) + TO = np.full((nprof, 4), np.nan) + OTL = np.full((nprof, 4), np.nan) + NIT = np.zeros((nprof, 4), dtype=np.int64) + + t0 = time.time() + run_all(SST[:50], MSL[:50], TCs[:50], Rs[:50], P, nlvl, + VMAX[:50], PMIN[:50], IFL[:50], TO[:50], OTL[:50], NIT[:50]) + print(f"warmup: {time.time()-t0:.1f}s") + t0 = time.time() + run_all(SST, MSL, TCs, Rs, P, nlvl, VMAX, PMIN, IFL, TO, OTL, NIT) + print(f"full run ({nprof} x 4 conventions): {time.time()-t0:.1f}s") + + np.savez_compressed(f"{SCRATCH}/pi_conv_results.npz", + VMAX=VMAX, PMIN=PMIN, IFL=IFL, TO=TO, OTL=OTL, NIT=NIT, + conv_names=np.array(["top", "max", "first", "reach_lfc"])) + print("saved pi_conv_results.npz") + + +if __name__ == "__main__": + main() diff --git a/era5_analysis/plot_curves.py b/era5_analysis/plot_curves.py new file mode 100644 index 0000000..74338db --- /dev/null +++ b/era5_analysis/plot_curves.py @@ -0,0 +1,86 @@ +"""Spaghetti plots of buoyancy curves conditioned on topology.""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import matplotlib + +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import numpy as np + + + +BLUE = "#2a78d6" +DBLUE = "#104281" +INK = "#0b0b0b" +INK2 = "#52514e" +GRID = "#e5e4e0" + +plt.rcParams.update({ + "font.size": 9, "font.family": "serif", + "axes.edgecolor": INK2, "axes.labelcolor": INK, + "axes.titlesize": 10, "axes.titleweight": "bold", + "axes.spines.top": False, "axes.spines.right": False, + "axes.grid": True, "grid.color": GRID, "grid.linewidth": 0.6, + "xtick.color": INK2, "ytick.color": INK2, + "figure.dpi": 150, "savefig.bbox": "tight", +}) + +z = np.load(f"{SCRATCH}/topology_curves.npz") +P = z["P"] +YT = [1000, 850, 700, 500, 400, 300, 200, 150, 100, 70] + +groups = {} +for k in z.files: + if k == "P": + continue + pname, topo, share = k.split("|") + groups.setdefault(pname, []).append((float(share), topo, z[k])) + +TITLES = {"A": "Parcel A — environmental (ambient launch)", + "B": "Parcel B — eyewall (moisture-enriched, at converged $P_M$)", + "C": "Parcel C — saturated core (at converged $P_M$)"} + +for pname, items in groups.items(): + items.sort(key=lambda x: -x[0]) + ncol = min(3, len(items)) + nrow = int(np.ceil(len(items) / ncol)) + fig, axs = plt.subplots(nrow, ncol, figsize=(3.5 * ncol, 4.1 * nrow), + sharey=True, squeeze=False) + # x-limits from the troposphere below ~125 hPa, where the topology lives + # (the stratospheric plunge to -40 K would squash the structure; curves + # simply exit the frame near the top) + sel = P >= 125 + allb = np.concatenate([c[:, sel].ravel() for _, _, c in items]) + lo, hi = np.nanpercentile(allb, [0.5, 99.5]) + pad = 0.10 * (hi - lo) + for ax, (share, topo, curves) in zip(axs.flat, items): + for c in curves: + ax.plot(c, P, color=BLUE, alpha=0.10, lw=0.7, zorder=3) + ax.plot(np.nanmedian(curves, axis=0), P, color=DBLUE, lw=1.8, zorder=5, + label="pointwise median") + ax.axvline(0, color=INK, lw=0.9, zorder=4) + ax.set_yscale("log") + ax.set_ylim(1010, 66) + ax.set_yticks(YT) + ax.set_yticklabels([str(t) for t in YT]) + ax.minorticks_off() + ax.set_xlim(lo - pad, hi + pad) + ax.set_title(f"{topo} ({share:.2f}%)") + ax.set_xlabel("buoyancy [K]") + for ax in axs[:, 0]: + ax.set_ylabel("pressure [hPa], log scale (up = higher)") + for ax in axs.flat[len(items):]: + ax.set_visible(False) + axs.flat[0].legend(loc="upper left", frameon=False, fontsize=8) + fig.suptitle(f"{TITLES[pname]} — {sum(len(c) for _, _, c in items)} sampled buoyancy profiles by topology" + " (x-axis clipped to tropospheric range)", + fontsize=11, y=1.005) + fig.tight_layout() + fig.savefig(f"{SCRATCH}/curves_parcel_{pname}.png", dpi=140) + fig.savefig(f"{SCRATCH}/curves_parcel_{pname}.pdf") + plt.close(fig) + print(f"saved curves_parcel_{pname}.png/.pdf") diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py new file mode 100644 index 0000000..8745def --- /dev/null +++ b/era5_analysis/prep_artifact_data.py @@ -0,0 +1,145 @@ +"""Assemble the JSON payload for the sounding-scope artifact.""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import json +import sys + +import numpy as np + + +sys.path.insert(0, SCRATCH) +sys.path.insert(0, _SRC) + +from scan_final import buoyancy, EPS, PTOP +from tcpyPI import utilities + +# materialize everything: NpzFile decompresses the whole array per access +_d = np.load(f"{SCRATCH}/profiles_converted.npz") +d = {k: _d[k] for k in _d.files} +_z = np.load(f"{SCRATCH}/parcel_topology_final.npz") +z = {k: _z[k] for k in ("A", "B", "C", "PM")} +P_full = d["P"] +nlvl = int((P_full > PTOP).sum()) +P = P_full[:nlvl].copy() +tc = np.where((d["sst_C"] >= 26) & (d["sp_hPa"] >= 1000) & np.isfinite(z["PM"]) + & np.isfinite(z["A"][:, 0]) & np.isfinite(z["B"][:, 0]) + & np.isfinite(z["C"][:, 0]))[0] +print("TC-relevant pool:", len(tc)) + +t64 = d["time"].astype("datetime64[s]") +years = t64.astype("datetime64[Y]").astype(int) + 1970 +doy = (t64.astype("datetime64[D]") + - t64.astype("datetime64[Y]").astype("datetime64[D]")).astype(int) + 1 + + +def topo_str(fs, n): + if fs == 0: + return "0" + c0 = "+" if fs > 0 else "-" + return (("+-" if c0 == "+" else "-+") * ((int(n) + 1) // 2))[: int(n)] + + +# per-parcel class tables (top 7 by count within tc, then "other") +tables = {} +labels = {} +for pname in "ABC": + o = z[pname] + strs = np.array([topo_str(o[i, 0], o[i, 1]) for i in tc]) + uniq, cnt = np.unique(strs, return_counts=True) + order = np.argsort(-cnt) + top = [str(uniq[k]) for k in order[:7]] + tables[pname] = {t: i for i, t in enumerate(top)} + labels[pname] = [[str(uniq[k]), int(cnt[k]), + float(round(100.0 * cnt[k] / len(tc), 2))] + for k in order[:7]] + other = int(len(tc) - cnt[order[:7]].sum()) + labels[pname].append(["other", other, float(round(100.0 * other / len(tc), 2))]) + + +def cls(pname, i): + return tables[pname].get(topo_str(z[pname][i, 0], z[pname][i, 1]), 7) + + +rng = np.random.default_rng(42) + +# ---- player pool: ensure every top class of every parcel is represented ---- +pool = set(rng.choice(tc, 1500, replace=False).tolist()) +for pname in "ABC": + strs = np.array([topo_str(z[pname][i, 0], z[pname][i, 1]) for i in tc]) + for t in tables[pname]: + rows = tc[strs == t] + take = min(220, len(rows)) + pool.update(rng.choice(rows, take, replace=False).tolist()) +pool = np.array(sorted(pool)) +print("player pool:", len(pool)) + +curves = {"A": [], "B": [], "C": []} +b = np.empty(nlvl) +for i in pool: + T = d["TC"][i, :nlvl] + 273.15 + R = d["R"][i, :nlvl] * 0.001 + buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) + curves["A"].append([round(float(x), 2) for x in b]) + PP = min(z["PM"][i], 1000.0) + MSL = d["sp_hPa"][i] + RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) + buoyancy(T[0], RP, PP, T, R, P, nlvl, b) + curves["B"].append([round(float(x), 2) for x in b]) + ES0 = utilities.es_cc(d["sst_C"][i]) + buoyancy(d["sst_C"][i] + 273.15, utilities.rv(ES0, PP), PP, T, R, P, nlvl, b) + curves["C"].append([round(float(x), 2) for x in b]) + +lonw = np.where(d["lon"][pool] > 180, d["lon"][pool] - 360, d["lon"][pool]) +player = { + "lat": [round(float(x), 2) for x in d["lat"][pool]], + "lon": [round(float(x), 2) for x in lonw], + "year": [int(x) for x in years[pool]], + "doy": [int(x) for x in doy[pool]], + "sst": [round(float(x), 1) for x in d["sst_C"][pool]], +} +for pname in "ABC": + player[f"c{pname}"] = [int(cls(pname, i)) for i in pool] + player[f"Etop{pname}"] = [int(round(z[pname][i, 2])) for i in pool] + player[f"Emax{pname}"] = [int(round(z[pname][i, 3])) for i in pool] + player[f"topo{pname}"] = [topo_str(z[pname][i, 0], z[pname][i, 1]) for i in pool] + player[f"curve{pname}"] = curves[pname] + +# ---- map layer ---- +msel = rng.choice(tc, min(40000, len(tc)), replace=False) +mlon = np.where(d["lon"][msel] > 180, d["lon"][msel] - 360, d["lon"][msel]) +mappts = { + "lat": [round(float(x), 2) for x in d["lat"][msel]], + "lon": [round(float(x), 2) for x in mlon], + "doy": [int(x) for x in doy[msel]], + "year": [int(x) for x in years[msel]], +} +for pname in "ABC": + mappts[f"c{pname}"] = [int(cls(pname, i)) for i in msel] + +# per-parcel x-limits for the scope (tropospheric percentiles) +xlims = {} +for pname in "ABC": + arr = np.array(curves[pname]) + sel = P >= 125 + lo, hi = np.percentile(arr[:, sel], [0.5, 99.5]) + pad = 0.1 * (hi - lo) + xlims[pname] = [round(float(lo - pad), 1), round(float(hi + pad), 1)] + +payload = { + "P": [float(x) for x in P], + "player": player, + "map": mappts, + "classes": labels, + "xlims": xlims, + "years": [int(years[tc].min()), int(years[tc].max())], + "ntc": int(len(tc)), +} +js = json.dumps(payload, separators=(",", ":")) +open(f"{SCRATCH}/artifact_data.json", "w").write(js) +print(f"payload: {len(js)/1e6:.2f} MB; years {payload['years']}") +for pname in "ABC": + print(pname, labels[pname][:4]) diff --git a/era5_analysis/scan_final.py b/era5_analysis/scan_final.py new file mode 100644 index 0000000..da1b4d5 --- /dev/null +++ b/era5_analysis/scan_final.py @@ -0,0 +1,304 @@ +"""Final topology/convention scan for all three PI parcels. + +Topology convention: leading sign = sign of buoyancy infinitesimally above +launch (= sign of first nonzero b for the PWL interpolant); no zero-width +leading regions. Conventions are computed candidate-based (down-crossings of +the running work W), so they are unaffected by the labeling change: + E_top : W at the last down-crossing / top (legacy; requires a positive + grid level above the launch node), clamped at 0 + E_max : max of W over all candidates (>= 0) + E_first : W at the first down-crossing, clamped at 0 + E_reach : lifted-ballistic (floor = W entering the first positive region) + +Parcel A at ambient; parcels B, C at the converged max-work P_M. +Output: parcel_topology_final.npz +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import sys +import time + +sys.path.insert(0, _SRC) + +import numpy as np +from numba import njit, prange + +from tcpyPI import constants, utilities +from tcpyPI.pi import solve_temperature_from_entropy + + +PTOP = 50.0 +RD = constants.RD +EPS = constants.EPS +CKCD = 0.9 + + +@njit(cache=True) +def buoyancy(TP, RP, PP, T, R, P, nlvl, b): + if (RP < 1e-6) or (TP < 200.0): + return 0 + TPC = utilities.T_ktoC(TP) + RH = min(utilities.ev(RP, PP) / utilities.es_cc(TPC), 1.0) + S = utilities.entropy_S(TP, RP, PP) + PLCL = utilities.e_pLCL(TP, RH, PP) + for j in range(nlvl): + if P[j] >= PLCL: + TG = TP * (P[j] / PP) ** (constants.RD / constants.CPD) + b[j] = utilities.Trho(TG, RP, RP) - utilities.Trho(T[j], R[j], R[j]) + else: + TG, RG, IFLAG = solve_temperature_from_entropy(S, P[j], RP, T[j]) + if IFLAG == 2: + return 2 + b[j] = utilities.Trho(TG, RP, RG) - utilities.Trho(T[j], R[j], R[j]) + return 1 + + +@njit(cache=True) +def summarize(b, P, PP, nlvl, out): + """out = [first_sign(+1/-1/0), n, E_top, E_max, E_first, E_reach, + clamped, clipped]""" + # ---- topology under the perturbation convention ---- + # effective sign sequence: skip zero values for the leading sign; a zero + # value elsewhere adopts the '-' side as before (b>0 is '+') + j0 = 0 + while j0 < nlvl and b[j0] == 0.0: + j0 += 1 + if j0 == nlvl: + out[0] = 0.0 + out[1] = 1.0 + return + first_pos = b[j0] > 0.0 + n = 1 + prev = first_pos + for j in range(j0 + 1, nlvl): + cur = b[j] > 0.0 + if cur != prev: + n += 1 + prev = cur + out[0] = 1.0 if first_pos else -1.0 + out[1] = n + + # ---- running work; candidates at down-crossings (+ -> -) and top ---- + W = RD * (PP - P[0]) / (PP + P[0]) * b[0] + ncand = 0 + cand_W = np.empty(nlvl + 1) + up_W = 0.0 # W entering the first positive region + seen_pos = b[0] > 0.0 + if seen_pos: + up_W = 0.0 # launch is inside a positive region (parcels B, C) + have_up = seen_pos + for j in range(1, nlvl): + b0 = b[j - 1] + b1 = b[j] + if (b0 > 0.0) != (b1 > 0.0): + if b0 * b1 < 0.0: + PC = (P[j] * b0 - P[j - 1] * b1) / (b0 - b1) + else: + PC = P[j] if b1 == 0.0 else P[j - 1] + W += RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) + if b0 > 0.0: + cand_W[ncand] = W # down-crossing candidate + ncand += 1 + else: + if not have_up: + up_W = W # first entry into a + region + have_up = True + W += RD * b1 * (PC - P[j]) / (PC + P[j]) + else: + W += RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) + top_pos = b[nlvl - 1] > 0.0 + if top_pos: + cand_W[ncand] = W # profile-top candidate (clipped) + ncand += 1 + out[7] = 1.0 if top_pos else 0.0 + + if ncand == 0: + return + + # E_max over all candidates (launch, W=0, implicit) + best = 0.0 + for kk in range(ncand): + if cand_W[kk] > best: + best = cand_W[kk] + out[3] = best + + # E_top: legacy requires a positive grid level above the launch node + has_pos_above = False + for j in range(1, nlvl): + if b[j] > 0.0: + has_pos_above = True + break + if has_pos_above: + raw = cand_W[ncand - 1] + if raw < 0.0: + out[6] = 1.0 + else: + out[2] = raw + + # E_first + if cand_W[0] > 0.0: + out[4] = cand_W[0] + + # E_reach (lifted-ballistic): walk candidates; between candidate k and + # k+1 the parcel traverses a negative region whose minimum W is the entry + # of the next + region; we approximate the stall check with the next + # up-crossing W (monotone within regions makes this exact). + # Reconstruct up-crossing Ws in a second pass for correctness. + floor = up_W + bestr = 0.0 + W2 = RD * (PP - P[0]) / (PP + P[0]) * b[0] + entered = b[0] > 0.0 + stalled = False + for j in range(1, nlvl): + b0 = b[j - 1] + b1 = b[j] + if (b0 > 0.0) != (b1 > 0.0): + if b0 * b1 < 0.0: + PC = (P[j] * b0 - P[j - 1] * b1) / (b0 - b1) + else: + PC = P[j] if b1 == 0.0 else P[j - 1] + W2 += RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) + if b0 > 0.0: + if entered and not stalled and W2 > bestr: + bestr = W2 + else: + if not entered: + entered = True + elif entered and W2 <= floor: + stalled = True + W2 += RD * b1 * (PC - P[j]) / (PC + P[j]) + else: + W2 += RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) + if top_pos and entered and not stalled and W2 > bestr: + bestr = W2 + out[5] = bestr if bestr > 0.0 else 0.0 + + +@njit(cache=True) +def pm_converged(SSTC, MSL, T, R, P, nlvl): + """Max-work pi loop; returns converged PM (RMW-level pressure) or NaN.""" + if SSTC <= 5.0 or SSTC > 100.0: + return np.nan + SSTK = utilities.T_Ctok(SSTC) + ES0 = utilities.es_cc(SSTC) + b = np.empty(nlvl) + tmp = np.empty(8) + + # E_max-only cape via summarize (out[3]) + def _capemax(TP, RP, PP): + for q in range(8): + tmp[q] = 0.0 + f = buoyancy(TP, RP, PP, T, R, P, nlvl, b) + if f != 1: + return 0.0, T[0], -1.0 + summarize(b, P, PP, nlvl, tmp) + return tmp[3], 0.0, 1.0 + + CAPEA, _, _ = _capemax(T[0], R[0], P[0]) + NP = 0 + PM = 970.0 + PMOLD = PM + PNEW = 0.0 + while np.abs(PNEW - PMOLD) > 0.5: + PP = min(PM, 1000.0) + RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) + CAPEM, _, _ = _capemax(T[0], RP, PP) + RPS = utilities.rv(ES0, PP) + # saturated call: need TOB -> compute buoyancy then find argmax temp: + f = buoyancy(SSTK, RPS, PP, T, R, P, nlvl, b) + if f != 1: + return np.nan + for q in range(8): + tmp[q] = 0.0 + summarize(b, P, PP, nlvl, tmp) + CAPEMS = tmp[3] + # outflow temperature: T at coldest buoyancy-weighted... use simple + # proxy: T at the level nearest the LNB is not tracked here; RAT via + # tropopause-min temperature of the environment as in BE02 spirit. + # For PM convergence only the CAT magnitude matters; use env min T. + TOmin = T[0] + for j in range(nlvl): + if T[j] < TOmin: + TOmin = T[j] + RAT = SSTK / TOmin + TV0 = utilities.Trho(T[0], R[0], R[0]) + TVSST = utilities.Trho(SSTK, RPS, RPS) + TVAV = 0.5 * (TV0 + TVSST) + CAT = max((CAPEM - CAPEA) + 0.5 * CKCD * RAT * (CAPEMS - CAPEM), 0.0) + PNEW = MSL * np.exp(-CAT / (RD * TVAV)) + PMOLD = PM + PM = PNEW + NP += 1 + if (NP > 200) or (PM < 400.0): + return np.nan + return PM + + +@njit(parallel=True, cache=True) +def run(SST, MSL, TCs, Rs, P, nlvl, PMs, outA, outB, outC): + nprof = TCs.shape[0] + for i in prange(nprof): + T = TCs[i] + 273.15 + R = Rs[i] * 0.001 + b = np.empty(nlvl) + # parcel A at ambient + f = buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) + if f == 1: + summarize(b, P, P[0], nlvl, outA[i]) + else: + outA[i, 0] = np.nan + # converged PM (max-work) + PM = pm_converged(SST[i], MSL[i], T, R, P, nlvl) + PMs[i] = PM + if not np.isfinite(PM): + outB[i, 0] = np.nan + outC[i, 0] = np.nan + continue + PP = min(PM, 1000.0) + RP = EPS * R[0] * MSL[i] / (PP * (EPS + R[0]) - R[0] * MSL[i]) + f = buoyancy(T[0], RP, PP, T, R, P, nlvl, b) + if f == 1: + summarize(b, P, PP, nlvl, outB[i]) + else: + outB[i, 0] = np.nan + SSTK = SST[i] + 273.15 + ES0 = utilities.es_cc(SST[i]) + RPS = utilities.rv(ES0, PP) + f = buoyancy(SSTK, RPS, PP, T, R, P, nlvl, b) + if f == 1: + summarize(b, P, PP, nlvl, outC[i]) + else: + outC[i, 0] = np.nan + + +def main(): + d = np.load(f"{SCRATCH}/profiles_converted.npz") + P_full = d["P"] + nlvl = int((P_full > PTOP).sum()) + P = P_full[:nlvl].copy() + TCs = d["TC"][:, :nlvl].copy() + Rs = d["R"][:, :nlvl].copy() + nprof = TCs.shape[0] + PMs = np.full(nprof, np.nan) + outA = np.zeros((nprof, 8)) + outB = np.zeros((nprof, 8)) + outC = np.zeros((nprof, 8)) + + t0 = time.time() + run(d["sst_C"][:50], d["sp_hPa"][:50], TCs[:50], Rs[:50], P, nlvl, + PMs[:50], outA[:50], outB[:50], outC[:50]) + run(d["sst_C"], d["sp_hPa"], TCs, Rs, P, nlvl, PMs, outA, outB, outC) + print(f"scan: {time.time()-t0:.1f}s") + np.savez_compressed(f"{SCRATCH}/parcel_topology_final.npz", + A=outA, B=outB, C=outC, PM=PMs, + cols=np.array(["first_sign", "n", "E_top", "E_max", + "E_first", "E_reach", "clamped", "clipped"])) + print("saved parcel_topology_final.npz") + + +if __name__ == "__main__": + main() diff --git a/era5_analysis/scan_pi_parcels.py b/era5_analysis/scan_pi_parcels.py new file mode 100644 index 0000000..e04c049 --- /dev/null +++ b/era5_analysis/scan_pi_parcels.py @@ -0,0 +1,236 @@ +"""Topology scan for the two PI parcels (eyewall, saturated core) at each +profile's converged max-work P_M, plus a quadrature-scheme comparison +(current hybrid vs self-consistent linear-in-ln(p)) for the env parcel. +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import sys +import time + +sys.path.insert(0, _SRC) + +import numpy as np +from numba import njit, prange + +from tcpyPI import constants, utilities +from tcpyPI.pi import solve_temperature_from_entropy + + +PTOP = 50.0 +RD = constants.RD +EPS = constants.EPS +CKCD = 0.9 + + +@njit(cache=True) +def buoyancy(TP, RP, PP, T, R, P, nlvl, b): + """Fill b; return 1 ok / 0 improper / 2 entropy no-converge.""" + if (RP < 1e-6) or (TP < 200.0): + return 0 + TPC = utilities.T_ktoC(TP) + RH = min(utilities.ev(RP, PP) / utilities.es_cc(TPC), 1.0) + S = utilities.entropy_S(TP, RP, PP) + PLCL = utilities.e_pLCL(TP, RH, PP) + for j in range(nlvl): + if P[j] >= PLCL: + TG = TP * (P[j] / PP) ** (constants.RD / constants.CPD) + b[j] = utilities.Trho(TG, RP, RP) - utilities.Trho(T[j], R[j], R[j]) + else: + TG, RG, IFLAG = solve_temperature_from_entropy(S, P[j], RP, T[j]) + if IFLAG == 2: + return 2 + b[j] = utilities.Trho(TG, RP, RG) - utilities.Trho(T[j], R[j], R[j]) + return 1 + + +@njit(cache=True) +def summarize(b, P, PP, nlvl, lnp_mode): + """Topology summary for one buoyancy profile. + lnp_mode: 0 = current hybrid quadrature, 1 = linear-in-ln(p) consistent. + Returns (n, n_plus, E_top, E_max, clamped, clipped, first_pos).""" + if lnp_mode == 0: + W = RD * (PP - P[0]) / (PP + P[0]) * b[0] + else: + W = RD * np.log(PP / P[0]) * 0.5 * (b[0] + b[0]) + ps = np.empty(nlvl + 1) + k = 0 + for j in range(1, nlvl): + b0 = b[j - 1] + b1 = b[j] + if (b0 > 0.0) != (b1 > 0.0): + if lnp_mode == 0: + if b0 * b1 < 0.0: + PC = (P[j] * b0 - P[j - 1] * b1) / (b0 - b1) + else: + PC = P[j] if b1 == 0.0 else P[j - 1] + W += RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) + ps[k] = W + W += RD * b1 * (PC - P[j]) / (PC + P[j]) + else: + l0 = np.log(P[j - 1]) + l1 = np.log(P[j]) + if b0 * b1 < 0.0: + lc = (l1 * b0 - l0 * b1) / (b0 - b1) + else: + lc = l1 if b1 == 0.0 else l0 + W += RD * 0.5 * b0 * (l0 - lc) + ps[k] = W + W += RD * 0.5 * b1 * (lc - l1) + k += 1 + else: + if lnp_mode == 0: + W += RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) + else: + W += RD * 0.5 * (b0 + b1) * np.log(P[j - 1] / P[j]) + ps[k] = W + n = k + 1 + first_pos = 1 if b[0] > 0.0 else 0 + top_pos = b[nlvl - 1] > 0.0 + n_plus = (n + (1 if first_pos == 1 else -1)) // 2 + (1 if (first_pos == 0 and top_pos) else 0) + # count '+' regions robustly: alternating from first_pos over n regions + n_plus = 0 + for kk in range(n): + pos = (kk % 2 == 0) == (first_pos == 1) + if pos: + n_plus += 1 + best = 0.0 + for kk in range(n): + if ps[kk] > best: + best = ps[kk] + E_max = best + clamped = 0 + if top_pos: + raw = ps[n - 1] + elif n >= 2: + raw = ps[n - 2] + else: + raw = 0.0 + has_pos_above = False + for j in range(1, nlvl): + if b[j] > 0.0: + has_pos_above = True + break + if not has_pos_above: + E_top = 0.0 + elif raw < 0.0: + E_top = 0.0 + clamped = 1 + else: + E_top = raw + clipped = 1 if top_pos else 0 + return n, n_plus, E_top, E_max, clamped, clipped, first_pos + + +@njit(parallel=True, cache=True) +def run(SST, MSL, PMs, TCs, Rs, P, nlvl, out_eye, out_core, out_env_cmp): + nprof = TCs.shape[0] + for i in prange(nprof): + T = TCs[i] + 273.15 + R = Rs[i] * 0.001 + b = np.empty(nlvl) + SSTK = SST[i] + 273.15 + # env-parcel quadrature comparison (hybrid vs lnp-consistent) + f = buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) + if f == 1: + n0, np0, Et0, Em0, cl0, _, _ = summarize(b, P, P[0], nlvl, 0) + n1, np1, Et1, Em1, cl1, _, _ = summarize(b, P, P[0], nlvl, 1) + out_env_cmp[i, 0] = Em0 + out_env_cmp[i, 1] = Em1 + out_env_cmp[i, 2] = Et0 + out_env_cmp[i, 3] = Et1 + if not np.isfinite(PMs[i]): + out_eye[i, 0] = -1.0 + out_core[i, 0] = -1.0 + continue + PP = min(PMs[i], 1000.0) + # eyewall parcel: enriched boundary-layer air at PP + RP = EPS * R[0] * MSL[i] / (PP * (EPS + R[0]) - R[0] * MSL[i]) + f = buoyancy(T[0], RP, PP, T, R, P, nlvl, b) + if f == 1: + n, npl, Et, Em, cl, cp, fp = summarize(b, P, PP, nlvl, 0) + out_eye[i, 0] = n + out_eye[i, 1] = npl + out_eye[i, 2] = Et + out_eye[i, 3] = Em + out_eye[i, 4] = cl + out_eye[i, 5] = cp + out_eye[i, 6] = fp + else: + out_eye[i, 0] = -float(f + 1) + # saturated core parcel + ES0 = utilities.es_cc(SST[i]) + RPS = utilities.rv(ES0, PP) + f = buoyancy(SSTK, RPS, PP, T, R, P, nlvl, b) + if f == 1: + n, npl, Et, Em, cl, cp, fp = summarize(b, P, PP, nlvl, 0) + out_core[i, 0] = n + out_core[i, 1] = npl + out_core[i, 2] = Et + out_core[i, 3] = Em + out_core[i, 4] = cl + out_core[i, 5] = cp + out_core[i, 6] = fp + else: + out_core[i, 0] = -float(f + 1) + + +def main(): + d = np.load(f"{SCRATCH}/profiles_converted.npz") + r = np.load(f"{SCRATCH}/pi_conv_results.npz") + P_full = d["P"] + nlvl = int((P_full > PTOP).sum()) + P = P_full[:nlvl].copy() + TCs = d["TC"][:, :nlvl].copy() + Rs = d["R"][:, :nlvl].copy() + # converged eye pressure under max-work as the P_M proxy; PMIN is the eye + # pressure -- close enough to RMW pressure for a population scan, and + # available per profile. Only rows converged under max (IFL==1). + PMs = np.where(r["IFL"][:, 1] == 1, r["PMIN"][:, 1], np.nan) + + nprof = TCs.shape[0] + out_eye = np.full((nprof, 7), np.nan) + out_core = np.full((nprof, 7), np.nan) + out_env_cmp = np.full((nprof, 4), np.nan) + + t0 = time.time() + run(d["sst_C"][:50], d["sp_hPa"][:50], PMs[:50], TCs[:50], Rs[:50], P, nlvl, + out_eye[:50], out_core[:50], out_env_cmp[:50]) + run(d["sst_C"], d["sp_hPa"], PMs, TCs, Rs, P, nlvl, out_eye, out_core, out_env_cmp) + print(f"scan: {time.time()-t0:.1f}s") + + np.savez_compressed(f"{SCRATCH}/pi_parcel_topology.npz", + eye=out_eye, core=out_core, env_cmp=out_env_cmp) + + # ---- quadrature comparison ---- + ok = np.isfinite(out_env_cmp[:, 0]) + dEm = np.abs(out_env_cmp[ok, 0] - out_env_cmp[ok, 1]) + base = np.maximum(out_env_cmp[ok, 0], 50.0) + print("\n=== hybrid vs linear-in-ln(p) quadrature (env parcel, E_max) ===") + print(f" |dE_max|: median {np.median(dEm):.3f} p99 {np.percentile(dEm,99):.2f} " + f"max {dEm.max():.2f} J/kg; rel max {np.max(dEm/base)*100:.2f}%") + + # ---- PI-parcel topology stats (TC-relevant subset) ---- + tc = (d["sst_C"] >= 26) & (d["sp_hPa"] >= 1000) & (r["IFL"][:, 1] == 1) + for name, out in [("eyewall", out_eye), ("core(sat)", out_core)]: + v = out[tc] + okv = v[:, 0] > 0 + n = v[okv, 0].astype(np.int64) + npl = v[okv, 1].astype(np.int64) + print(f"\n=== {name} parcel at converged P_M (TC-relevant, n={okv.sum()}) ===") + print(f" launches buoyant (b_surface>0): {100*v[okv,6].mean():.1f}%") + print(f" candidate-LNB count (+ regions): 1: {100*(npl==1).mean():.1f}% " + f"2: {100*(npl==2).mean():.1f}% >=3: {100*(npl>=3).mean():.1f}% 0: {100*(npl==0).mean():.2f}%") + print(f" E_top clamped to 0 while E_max>0: " + f"{100*((v[okv,4]==1)&(v[okv,3]>0)).mean():.2f}%") + dd = np.abs(v[okv, 2] - v[okv, 3]) + print(f" |E_top-E_max|: >1 J/kg {100*(dd>1).mean():.2f}% >10 {100*(dd>10).mean():.2f}% " + f"max {dd.max():.1f} J/kg") + print(f" clipped at profile top (b>0 at 70 hPa): {100*v[okv,5].mean():.2f}%") + + +if __name__ == "__main__": + main() diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html new file mode 100644 index 0000000..969da8e --- /dev/null +++ b/era5_analysis/sounding_scope_template.html @@ -0,0 +1,459 @@ +Sounding Scope — buoyancy topologies + + +

+

Sounding Scope

+ buoyancy-profile flipbook over TC-relevant ERA5 columns (SST ≥ 26 °C) · conditioned on sign topology +
+ +
+ + + + + + + + +
+
+ +
+
+

buoyancy vs log-pressure

+ +
+
+
+

position · density of filtered population

+ +
+
+
+

day of year

+ +
+
+

year

+ +
+
+
+
+
+ +
+ Each flash is one real reanalysis column: its lifted-parcel buoyancy curve (left), + its location, and its date. The shaded layers show where and when the currently + filtered topology lives: a 2°-binned density on the map, a 10-day rose on the + ring, and yearly counts on the track. Curve and markers take the color of the + profile's topology class. The readout compares CAPE under the legacy topmost-level + LNB (E_top) and the max-work LNB (E_max) — it turns red when the legacy rule + returns zero for a convectively viable profile. Parcels: A = ambient air lifted + as-is; B = boundary-layer air moisture-enriched by the storm's converged central + pressure; C = air saturated at the sea-surface temperature. Space bar toggles play. +
+ + + diff --git a/era5_analysis/validate_scan.py b/era5_analysis/validate_scan.py new file mode 100644 index 0000000..2e3c6bc --- /dev/null +++ b/era5_analysis/validate_scan.py @@ -0,0 +1,76 @@ +"""Cross-validate the scanner against the real cape() implementations: +E_top vs legacy (modernize_eg) cape(), E_max vs max-work (lnb-max-work) cape(). +""" + +import os as _os +from pathlib import Path as _Path +SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) +_SRC = str(_Path(__file__).resolve().parents[1] / "src") + +import importlib.util +import sys + +import numpy as np + + +OLD_SCRATCH = _os.environ.get("LEGACY_TREE", SCRATCH) + + +def load_pkg(name, src_root): + spec = importlib.util.spec_from_file_location( + name, f"{src_root}/tcpyPI/__init__.py", + submodule_search_locations=[f"{src_root}/tcpyPI"]) + mod = importlib.util.module_from_spec(spec) + sys.modules[name] = mod + # make relative imports resolve under the alias + sys.path.insert(0, src_root) + spec.loader.exec_module(mod) + sys.path.pop(0) + return mod + + +d = np.load(f"{SCRATCH}/profiles_converted.npz") +res = np.load(f"{SCRATCH}/buoyancy_scan_results.npz") +sc = res["scalar"] +names = list(res["scalar_names"]) +ix = {n: i for i, n in enumerate(names)} + +P = d["P"] +rng = np.random.default_rng(7) +ok_rows = np.where(sc[:, ix["iflag"]] == 1)[0] +sel = rng.choice(ok_rows, size=400, replace=False) +# ensure multi-region rows are represented +multi = ok_rows[sc[ok_rows, ix["n"]] >= 4] +if len(multi): + sel = np.concatenate([sel, rng.choice(multi, size=min(200, len(multi)), replace=False)]) + +# import the NEW (max-work) cape from the lnb-max-work checkout +sys.path.insert(0, _SRC) +from tcpyPI.pi import cape as cape_new # noqa: E402 + +# legacy cape via the archived modernize_eg tree (pure-python instrumented copy) +sys.path.insert(0, OLD_SCRATCH) +from gmap import cape_instr as cape_legacy # noqa: E402 (pcmin convention) + +bad_top = bad_max = 0 +worst_top = worst_max = 0.0 +for i in sel: + T = d["TC"][i] + 273.15 + R = d["R"][i] * 0.001 + out_new = cape_new(T[0], R[0], P[0], T, R, P, 0, 50, 1) + o_leg = cape_legacy(T[0], R[0], P[0], T, R, P, 0, 50) + e_max_scan = sc[i, ix["E_max"]] + e_top_scan = sc[i, ix["E_top"]] + dmax = abs(out_new[0] - e_max_scan) + dtop = abs(o_leg["CAPED"] - e_top_scan) + worst_max = max(worst_max, dmax) + worst_top = max(worst_top, dtop) + if dmax > 1e-8 * max(1.0, e_max_scan): + bad_max += 1 + if dtop > 1e-8 * max(1.0, e_top_scan): + bad_top += 1 + +print(f"checked {len(sel)} profiles " + f"({int((sc[sel, ix['n']] >= 4).sum())} with n>=4 regions)") +print(f"E_max vs new cape(): mismatches {bad_max}, worst |d| = {worst_max:.3e}") +print(f"E_top vs legacy cape(): mismatches {bad_top}, worst |d| = {worst_top:.3e}") From c5ebc726030a0eb18eb31ccbdf1a9ae88c16d339 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 16:40:15 +0200 Subject: [PATCH 02/20] Sounding Scope: global per-parcel populations; drop, never clamp The artifact silently restricted all three parcels to the SST >= 26 C subset and hardcoded the map to +/-38 latitude, clamping out-of-range points into edge bins. Parcel A is defined on all 569,478 columns (-78..+90 lat) and B/C on the 476,102 with a converged storm pressure; the payload now carries per-parcel populations with sentinels where B/C are undefined, the map spans the data, out-of-range points are dropped rather than clamped, and the scope draws unaltered curves through a clipped viewport instead of clamping values to the axis range. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 66 +++++++++++++--------- era5_analysis/sounding_scope_template.html | 44 ++++++++------- 2 files changed, 65 insertions(+), 45 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index 8745def..cc40814 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -25,10 +25,13 @@ P_full = d["P"] nlvl = int((P_full > PTOP).sum()) P = P_full[:nlvl].copy() -tc = np.where((d["sst_C"] >= 26) & (d["sp_hPa"] >= 1000) & np.isfinite(z["PM"]) - & np.isfinite(z["A"][:, 0]) & np.isfinite(z["B"][:, 0]) - & np.isfinite(z["C"][:, 0]))[0] -print("TC-relevant pool:", len(tc)) +# per-parcel populations: A is defined everywhere; B/C wherever the +# max-work pressure iteration converged (SST > 5 C) +mA = np.isfinite(z["A"][:, 0]) +mBC = np.isfinite(z["PM"]) & np.isfinite(z["B"][:, 0]) & np.isfinite(z["C"][:, 0]) +popmask = {"A": mA, "B": mBC, "C": mBC} +pop = {p: np.where(popmask[p])[0] for p in "ABC"} +print("populations:", {p: len(pop[p]) for p in "ABC"}) t64 = d["time"].astype("datetime64[s]") years = t64.astype("datetime64[Y]").astype(int) + 1970 @@ -46,32 +49,36 @@ def topo_str(fs, n): # per-parcel class tables (top 7 by count within tc, then "other") tables = {} labels = {} +allstrs = {} for pname in "ABC": o = z[pname] - strs = np.array([topo_str(o[i, 0], o[i, 1]) for i in tc]) + rows = pop[pname] + strs = np.array([topo_str(o[i, 0], o[i, 1]) for i in rows]) + allstrs[pname] = strs uniq, cnt = np.unique(strs, return_counts=True) order = np.argsort(-cnt) top = [str(uniq[k]) for k in order[:7]] tables[pname] = {t: i for i, t in enumerate(top)} labels[pname] = [[str(uniq[k]), int(cnt[k]), - float(round(100.0 * cnt[k] / len(tc), 2))] + float(round(100.0 * cnt[k] / len(rows), 2))] for k in order[:7]] - other = int(len(tc) - cnt[order[:7]].sum()) - labels[pname].append(["other", other, float(round(100.0 * other / len(tc), 2))]) + other = int(len(rows) - cnt[order[:7]].sum()) + labels[pname].append(["other", other, float(round(100.0 * other / len(rows), 2))]) def cls(pname, i): + if not popmask[pname][i]: + return -1 return tables[pname].get(topo_str(z[pname][i, 0], z[pname][i, 1]), 7) rng = np.random.default_rng(42) # ---- player pool: ensure every top class of every parcel is represented ---- -pool = set(rng.choice(tc, 1500, replace=False).tolist()) +pool = set(rng.choice(pop["A"], 1500, replace=False).tolist()) for pname in "ABC": - strs = np.array([topo_str(z[pname][i, 0], z[pname][i, 1]) for i in tc]) for t in tables[pname]: - rows = tc[strs == t] + rows = pop[pname][allstrs[pname] == t] take = min(220, len(rows)) pool.update(rng.choice(rows, take, replace=False).tolist()) pool = np.array(sorted(pool)) @@ -84,14 +91,18 @@ def cls(pname, i): R = d["R"][i, :nlvl] * 0.001 buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) curves["A"].append([round(float(x), 2) for x in b]) - PP = min(z["PM"][i], 1000.0) - MSL = d["sp_hPa"][i] - RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) - buoyancy(T[0], RP, PP, T, R, P, nlvl, b) - curves["B"].append([round(float(x), 2) for x in b]) - ES0 = utilities.es_cc(d["sst_C"][i]) - buoyancy(d["sst_C"][i] + 273.15, utilities.rv(ES0, PP), PP, T, R, P, nlvl, b) - curves["C"].append([round(float(x), 2) for x in b]) + if mBC[i]: + PP = min(z["PM"][i], 1000.0) + MSL = d["sp_hPa"][i] + RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) + buoyancy(T[0], RP, PP, T, R, P, nlvl, b) + curves["B"].append([round(float(x), 2) for x in b]) + ES0 = utilities.es_cc(d["sst_C"][i]) + buoyancy(d["sst_C"][i] + 273.15, utilities.rv(ES0, PP), PP, T, R, P, nlvl, b) + curves["C"].append([round(float(x), 2) for x in b]) + else: + curves["B"].append([]) + curves["C"].append([]) lonw = np.where(d["lon"][pool] > 180, d["lon"][pool] - 360, d["lon"][pool]) player = { @@ -102,14 +113,16 @@ def cls(pname, i): "sst": [round(float(x), 1) for x in d["sst_C"][pool]], } for pname in "ABC": + m = popmask[pname] player[f"c{pname}"] = [int(cls(pname, i)) for i in pool] - player[f"Etop{pname}"] = [int(round(z[pname][i, 2])) for i in pool] - player[f"Emax{pname}"] = [int(round(z[pname][i, 3])) for i in pool] - player[f"topo{pname}"] = [topo_str(z[pname][i, 0], z[pname][i, 1]) for i in pool] + player[f"Etop{pname}"] = [int(round(z[pname][i, 2])) if m[i] else 0 for i in pool] + player[f"Emax{pname}"] = [int(round(z[pname][i, 3])) if m[i] else 0 for i in pool] + player[f"topo{pname}"] = [topo_str(z[pname][i, 0], z[pname][i, 1]) if m[i] else "" + for i in pool] player[f"curve{pname}"] = curves[pname] # ---- map layer ---- -msel = rng.choice(tc, min(40000, len(tc)), replace=False) +msel = rng.choice(pop["A"], min(40000, len(pop["A"])), replace=False) mlon = np.where(d["lon"][msel] > 180, d["lon"][msel] - 360, d["lon"][msel]) mappts = { "lat": [round(float(x), 2) for x in d["lat"][msel]], @@ -123,7 +136,7 @@ def cls(pname, i): # per-parcel x-limits for the scope (tropospheric percentiles) xlims = {} for pname in "ABC": - arr = np.array(curves[pname]) + arr = np.array([c for c in curves[pname] if len(c)]) sel = P >= 125 lo, hi = np.percentile(arr[:, sel], [0.5, 99.5]) pad = 0.1 * (hi - lo) @@ -135,8 +148,9 @@ def cls(pname, i): "map": mappts, "classes": labels, "xlims": xlims, - "years": [int(years[tc].min()), int(years[tc].max())], - "ntc": int(len(tc)), + "years": [int(years[pop["A"]].min()), int(years[pop["A"]].max())], + "npop": {p: int(len(pop[p])) for p in "ABC"}, + "ntc": int(len(pop["A"])), } js = json.dumps(payload, separators=(",", ":")) open(f"{SCRATCH}/artifact_data.json", "w").write(js) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 969da8e..1764473 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -86,7 +86,7 @@

Sounding Scope

- buoyancy-profile flipbook over TC-relevant ERA5 columns (SST ≥ 26 °C) · conditioned on sign topology + buoyancy-profile flipbook over global ERA5 ocean columns · parcels B/C on the with a converged storm pressure (SST > 5 °C) · conditioned on sign topology
@@ -155,15 +155,13 @@

year

// ---------- pools ---------- function pool(){ const cs = DATA.player["c"+state.parcel]; - if (state.cls < 0) return cs.map((_,i)=>i); - const out=[]; for(let i=0;iyear } // ---------- map ---------- -const MEXT = {lo:-180, hi:180, la:-38, lb:38}; +const MEXT = {lo:-180, hi:180, la:-80, lb:90}; let densCache = null, densKey = ""; function buildDensity(){ const key = state.parcel+"|"+state.cls+"|"+cvar("--bg"); if (key === densKey && densCache) return densCache; const bin = 2, nx = Math.ceil(360/bin), ny = Math.ceil((MEXT.lb-MEXT.la)/bin); const cnt = new Float32Array(nx*ny); - const mf = mapFilter(); + const cs = DATA.map["c"+state.parcel]; const {lat,lon} = DATA.map; for (let i=0;i= 0 && v !== state.cls) continue; + const ix = Math.floor((lon[i]-MEXT.lo)/bin); + const iy = Math.floor((lat[i]-MEXT.la)/bin); + if (ix<0 || ix>=nx || iy<0 || iy>=ny) continue; // drop, never clamp cnt[iy*nx+ix]++; } let mx=0; for (let k=0;kmx) mx=cnt[k]; @@ -257,7 +258,7 @@

year

const [cv,g] = ctx2("map"); g.clearRect(0,0,cv.width,cv.height); g.strokeStyle = cvar("--grid"); g.lineWidth=1.5; - for (let la=-30; la<=30; la+=30){ + for (let la=-60; la<=60; la+=30){ const y=(MEXT.lb-la)/(MEXT.lb-MEXT.la)*cv.height; g.beginPath(); g.moveTo(0,y); g.lineTo(cv.width,y); g.stroke(); } @@ -287,9 +288,11 @@

year

const W=cv.width, C=W/2, r0=W*0.23, r1=W*0.42; g.clearRect(0,0,W,W); const nb=36, cnt=new Float32Array(nb); - const mf = mapFilter(); + const csr = DATA.map["c"+state.parcel]; for (let i=0;i= 0 && v !== state.cls) continue; cnt[Math.min(nb-1, Math.floor((DATA.map.doy[i]-1)/366*nb))]++; } let mx=1; for (const c of cnt) if (c>mx) mx=c; @@ -327,9 +330,11 @@

year

g.clearRect(0,0,W,H); const [y0,y1] = DATA.years, ny=y1-y0+1; const cnt=new Float32Array(ny); - const mf = mapFilter(); + const csy = DATA.map["c"+state.parcel]; for (let i=0;i= 0 && v !== state.cls) continue; cnt[DATA.map.year[i]-y0]++; } let mx=1; for (const c of cnt) if (c>mx) mx=c; @@ -454,6 +459,7 @@

year

matchMedia("(prefers-color-scheme: dark)").addEventListener("change", ()=>{ invalidate(); drawScope(); buildChips(); }); -document.getElementById("ntc").textContent = DATA.ntc.toLocaleString("en-US"); +document.getElementById("ntc").textContent = DATA.npop.A.toLocaleString("en-US"); +document.getElementById("nbc").textContent = DATA.npop.B.toLocaleString("en-US"); buildChips(); tickOnce(); setTimer(); requestAnimationFrame(frame); From 66be8995207e3c4be34b38247dd49dbf53f92aac Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 16:50:44 +0200 Subject: [PATCH 03/20] Extend topology-chain ceiling to 20 hPa; interior-dip axis rule Highest observed buoyancy crossing across all 1.52M parcel evaluations is 49.6 hPa (saturated core), so retaining levels with P > 10 hPa (top 20 hPa) leaves a 2.5x pressure buffer: zero clipped topologies remain, 21/569k parcel-A columns fail the entropy solve aloft and are flagged. Buoyancy x-ranges now come from the deepest interior dip (most negative value before a curve's last positive level) with 10% margin, so the terminal stratospheric plunge no longer compresses the plots. Figures and the Sounding Scope template/payload regenerated accordingly. Generated-with: Claude Fable 5 --- era5_analysis/README.md | 18 ++++++++---- era5_analysis/figures/curves_parcel_A.png | Bin 997792 -> 801755 bytes era5_analysis/figures/curves_parcel_B.png | Bin 660326 -> 539378 bytes era5_analysis/figures/curves_parcel_C.png | Bin 467448 -> 376744 bytes era5_analysis/gen_curves.py | 1 - era5_analysis/plot_curves.py | 31 +++++++++++++-------- era5_analysis/prep_artifact_data.py | 18 ++++++++---- era5_analysis/scan_final.py | 5 ++-- era5_analysis/sounding_scope_template.html | 4 +-- 9 files changed, 51 insertions(+), 26 deletions(-) diff --git a/era5_analysis/README.md b/era5_analysis/README.md index 971cc14..7f6f140 100644 --- a/era5_analysis/README.md +++ b/era5_analysis/README.md @@ -67,11 +67,19 @@ and `pi_conv.py` cross-checks). max-work fails on 0; first-crossing and lifted-ballistic conventions fail ~20x more often than legacy. Where PI matters (SST >= 26), top vs max agree to p99 = 0.53 m/s. -- ptop clipping: the 1.24% of `+`-topology core parcels all cross between - 70 and 53 hPa (median 68.6) when the column is extended to 20 hPa — the - data exists (ERA5 reaches 1 hPa); tcpyPI's ptop=50 retention cuts at - 70 hPa. The entropy solver's `ENEW > P-1` guard prevents extension beyond - ~10-20 hPa without modification. +- Column ceiling: the topology chain (`scan_final.py` onward) retains + levels down to 20 hPa (ptop=10), a 2.5x pressure buffer below the highest + buoyancy crossing observed anywhere in the sample (49.6 hPa, saturated + core parcel; parcel B max 66.8, parcel A max 87.5). With that ceiling no + parcel is clipped (zero `+`-ending topologies); 21 of 569,478 parcel-A + columns fail the entropy solve in the 30-20 hPa range and are flagged. + tcpyPI's own ptop=50 convention (used by the pi()/CAPE scans above) + truncates at 70 hPa and clips 1.24% of TC-relevant core parcels, whose + true crossings sit at median 68.6 hPa. The solver's `ENEW > P-1` guard + prevents extension beyond ~10-20 hPa without modification. Buoyancy-plot + x-ranges are set by the deepest interior dip (the most negative value a + curve reaches before its last positive level) plus 10% — the terminal + stratospheric plunge never sets the range. - Strict from-rest ballistic CAPE is degenerate for surface-launched environmental parcels (b(launch) = 0 by construction and surface CIN or neutral layering is universal); the lifted-to-LFC variant is the diff --git a/era5_analysis/figures/curves_parcel_A.png b/era5_analysis/figures/curves_parcel_A.png index c609590af31cc921aac950f242c3bff5709d7c12..8ba039fe7d6a7cb6ec2ed639be7ef4708153d634 100644 GIT binary patch literal 801755 zcmeFZc{G;o-#2<`&>T{!gs7y7lO?N(hZGf?97@AK^9B8NUDi?H5+QXG${v{@Hq)%AD=rKi2Cv zo6!IJ!H1{xq$2WHn3>qqZB?bc}T*vDL7Tl)F)AADxK9rrytJ&nsSjM2`$#mdS`Mfp86 z6o3V2seHinPCNHrtX$An_l6`bhTFGq=S1xPDqnSTt7w|o&uO14H-CSmN_CpL5wen` zkuE#fm@fD7<;yPF`tA1JUw6>$*m3Yvaq(ITzwO@|F7uI&VsHJa{-1w-7kO^%e()ug 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zFSBDnqvBq@8V~Xm7G}?2!7>lVUL3BCGCzO*VPkPe$JNo1ka z!+6KVZK;2Wv!Wh}JLumhnar%&S)aIzXBX3d&8o%IsM ze*t{At}g;BKXCA1m}V#KZ-0Lvq0{61Sxs9UULszkd_-<2Ic{EGR7W@cg@H<*k^RfeH_3XWbwp6F=ac z*Sh8gx?w{{K+})4694{$JkTb{{P(rQm%P`nH~sgI*$rEZR{i(2!{2w+|NHWb(qI4U zyK7*z|NE17>QA}= 125 - allb = np.concatenate([c[:, sel].ravel() for _, _, c in items]) - lo, hi = np.nanpercentile(allb, [0.5, 99.5]) - pad = 0.10 * (hi - lo) + # x lower limit: most negative interior dip (before the curve's last + # positive level); the terminal stratospheric plunge never returns to + # positive and should not set the range. 10% margin. + lo = 0.0 + hi = 0.0 + for _, _, curves_ in items: + for c in curves_: + fin = np.isfinite(c) + pos = np.where(fin & (c > 0))[0] + if len(pos): + lo = min(lo, np.nanmin(c[: pos[-1] + 1])) + hi = max(hi, np.nanmax(c[fin]) if fin.any() else 0.0) + hi = min(hi, np.nanpercentile( + np.concatenate([c.ravel() for _, _, c in items]), 99.95)) + lo *= 1.1 + hi *= 1.05 + pad = 0.0 for ax, (share, topo, curves) in zip(axs.flat, items): for c in curves: ax.plot(c, P, color=BLUE, alpha=0.10, lw=0.7, zorder=3) @@ -64,7 +73,7 @@ label="pointwise median") ax.axvline(0, color=INK, lw=0.9, zorder=4) ax.set_yscale("log") - ax.set_ylim(1010, 66) + ax.set_ylim(1010, 19) ax.set_yticks(YT) ax.set_yticklabels([str(t) for t in YT]) ax.minorticks_off() @@ -77,7 +86,7 @@ ax.set_visible(False) axs.flat[0].legend(loc="upper left", frameon=False, fontsize=8) fig.suptitle(f"{TITLES[pname]} — {sum(len(c) for _, _, c in items)} sampled buoyancy profiles by topology" - " (x-axis clipped to tropospheric range)", + " (x-axis clipped to the interior-dip range)", fontsize=11, y=1.005) fig.tight_layout() fig.savefig(f"{SCRATCH}/curves_parcel_{pname}.png", dpi=140) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index cc40814..e96ee4a 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -10,7 +10,6 @@ import numpy as np - sys.path.insert(0, SCRATCH) sys.path.insert(0, _SRC) @@ -134,13 +133,22 @@ def cls(pname, i): mappts[f"c{pname}"] = [int(cls(pname, i)) for i in msel] # per-parcel x-limits for the scope (tropospheric percentiles) +# x-limits: lower bound = the most negative any curve goes BEFORE its last +# positive level (interior dips only; the terminal stratospheric plunge never +# returns to positive and should not set the range), with a 10% margin. xlims = {} for pname in "ABC": arr = np.array([c for c in curves[pname] if len(c)]) - sel = P >= 125 - lo, hi = np.percentile(arr[:, sel], [0.5, 99.5]) - pad = 0.1 * (hi - lo) - xlims[pname] = [round(float(lo - pad), 1), round(float(hi + pad), 1)] + lo = 0.0 + for c in arr: + pos = np.where(c > 0)[0] + if len(pos) == 0: + continue + m = c[: pos[-1] + 1].min() + if m < lo: + lo = m + hi = float(np.percentile(arr, 99.9)) + xlims[pname] = [round(float(lo * 1.1), 1), round(hi * 1.05 + 0.5, 1)] payload = { "P": [float(x) for x in P], diff --git a/era5_analysis/scan_final.py b/era5_analysis/scan_final.py index da1b4d5..26f6e79 100644 --- a/era5_analysis/scan_final.py +++ b/era5_analysis/scan_final.py @@ -30,8 +30,9 @@ from tcpyPI import constants, utilities from tcpyPI.pi import solve_temperature_from_entropy - -PTOP = 50.0 +PTOP = 10.0 # retain levels with P > 10 hPa -> top 20 hPa; highest observed +# buoyancy crossing in the 569k-column sample is 49.6 hPa (saturated core +# parcel), so the retained top sits a 2.5x pressure buffer below it RD = constants.RD EPS = constants.EPS CKCD = 0.9 diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 1764473..0d807ce 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -168,7 +168,7 @@

    year

    const cv = document.getElementById(id); return [cv, cv.getContext("2d")]; } -const yLnTop = Math.log(66), yLnBot = Math.log(1010); +const yLnTop = Math.log(19), yLnBot = Math.log(1010); function yOf(p, h, pad){ return pad + (Math.log(p)-yLnTop)/(yLnBot-yLnTop)*(h-2*pad); } // ---------- scope ---------- @@ -182,7 +182,7 @@

    year

    const Y = p => padT + (Math.log(p)-yLnTop)/(yLnBot-yLnTop)*(H-padT-padB); g.font = "22px ui-monospace, Menlo, monospace"; g.strokeStyle = cvar("--grid"); g.fillStyle = cvar("--ink2"); g.lineWidth = 1.6; - for (const p of [1000,850,700,500,400,300,200,150,100,70]){ + for (const p of [1000,850,700,500,400,300,200,150,100,70,50,30,20]){ const y = Y(p); g.beginPath(); g.moveTo(padL,y); g.lineTo(W-padR,y); g.stroke(); g.textAlign="right"; g.textBaseline="middle"; g.fillText(String(p), padL-10, y); From 1f3416a71a60c256ed35c48cf972ec5c33801c64 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:00:43 +0200 Subject: [PATCH 04/20] Sounding Scope: crossfilter marginals + hour-of-day ring Click any marginal to filter the flipbook samples: the map selects a position (haversine, +/-1500 km), the day-of-year ring a +/-15-day circular window, the new hour-of-day ring a +/-3 h UTC window, and the year track a single year. Each marginal displays the density under all the OTHER active filters (crossfilter convention) with its own selection drawn dashed; active selections appear as dismissable chips with a live matching-sample count, and Escape clears them. Payload gains hour-of-day for the player pool and map layer. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 2 + era5_analysis/sounding_scope_template.html | 254 ++++++++++++++++++--- 2 files changed, 230 insertions(+), 26 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index e96ee4a..33f585f 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -109,6 +109,7 @@ def cls(pname, i): "lon": [round(float(x), 2) for x in lonw], "year": [int(x) for x in years[pool]], "doy": [int(x) for x in doy[pool]], + "hour": [int(x) for x in ((d["time"][pool] // 3600) % 24)], "sst": [round(float(x), 1) for x in d["sst_C"][pool]], } for pname in "ABC": @@ -128,6 +129,7 @@ def cls(pname, i): "lon": [round(float(x), 2) for x in mlon], "doy": [int(x) for x in doy[msel]], "year": [int(x) for x in years[msel]], + "hour": [int(x) for x in ((d["time"][msel] // 3600) % 24)], } for pname in "ABC": mappts[f"c{pname}"] = [int(cls(pname, i)) for i in msel] diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 0d807ce..8186aa3 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -74,8 +74,13 @@ color:var(--ink2); font-weight:600; font-family:ui-monospace,"SF Mono","Cascadia Code",Menlo,Consolas,monospace} canvas{display:block; width:100%; height:auto} +#map,#ring,#hours,#years{cursor:crosshair} +.selrow:empty{display:none} +.selrow .chip{border-style:dashed} +.selrow .x{margin-left:4px; font-weight:700; opacity:.7} +.selrow .cnt{color:var(--ink2)} .rail{display:flex; flex-direction:column; gap:14px} -.timerow{display:grid; grid-template-columns:190px 1fr; gap:14px} +.timerow{display:grid; grid-template-columns:1fr 1fr; gap:14px} .readout{display:grid; grid-template-columns:repeat(2,1fr); gap:4px 18px; font-size:12.5px} .readout div{display:flex; justify-content:space-between; gap:8px; border-bottom:1px dashed var(--grid); padding:2px 0} .readout .k{color:var(--ink2)} @@ -101,6 +106,7 @@

    Sounding Scope

    5/s

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  • +
    @@ -118,11 +124,15 @@

    day of year

    -

    year

    - -
    +

    hour of day (UTC)

    +
    +
    +

    year

    + +
    +
    @@ -135,7 +145,11 @@

    year

    LNB (E_top) and the max-work LNB (E_max) — it turns red when the legacy rule returns zero for a convectively viable profile. Parcels: A = ambient air lifted as-is; B = boundary-layer air moisture-enriched by the storm's converged central - pressure; C = air saturated at the sea-surface temperature. Space bar toggles play. + pressure; C = air saturated at the sea-surface temperature. Space bar toggles play. Click any marginal to filter the samples: + the map selects a position (±1,500 km), the rings a day-of-year window + (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the + density under the other filters, with its own selection dashed. + Click the × chips or press Escape to clear. @@ -144,7 +158,12 @@

    year

    const DATA = JSON.parse(document.getElementById("data").textContent); const PLV = DATA.P, NL = PLV.length; const MONL = ["J","F","M","A","M","J","J","A","S","O","N","D"]; -const state = {parcel:"B", cls:-1, speed:5, playing:true, cur:-1, trail:[], pulses:[]}; +const state = {parcel:"B", cls:-1, speed:5, playing:true, cur:-1, trail:[], pulses:[], + selPos:null, // {lat, lon} with RAD_KM radius + selDoy:null, // {d} with +/- DOY_W days (circular) + selHour:null, // {h} with +/- HOUR_W hours (circular) + selYear:null}; // {y} +const RAD_KM = 1500, DOY_W = 15, HOUR_W = 3; const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; if (reduced) state.playing = false; @@ -152,13 +171,50 @@

    year

    function cvar(n){ return getComputedStyle(document.documentElement).getPropertyValue(n).trim(); } function classColor(c){ return cvar("--c"+c); } +// ---------- selection predicates ---------- +function havKm(la1, lo1, la2, lo2){ + const r = Math.PI/180, R = 6371; + const a = Math.sin((la2-la1)*r/2)**2 + + Math.cos(la1*r)*Math.cos(la2*r)*Math.sin((lo2-lo1)*r/2)**2; + return 2*R*Math.asin(Math.min(1, Math.sqrt(a))); +} +function doyIn(d){ + if (!state.selDoy) return true; + const dd = Math.abs(d - state.selDoy.d); + return Math.min(dd, 366-dd) <= DOY_W; +} +function posIn(la, lo){ + return !state.selPos || havKm(la, lo, state.selPos.lat, state.selPos.lon) <= RAD_KM; +} +function hourIn(h){ + if (!state.selHour) return true; + const dh = Math.abs(h - state.selHour.h); + return Math.min(dh, 24-dh) <= HOUR_W; +} +function yearIn(y){ return !state.selYear || y === state.selYear.y; } +// skip: which dimension NOT to apply (crossfilter: a marginal shows the +// density under all the OTHER filters, with its own selection as an overlay) +function passMap(i, skip){ + const v = DATA.map["c"+state.parcel][i]; + if (v < 0) return false; + if (state.cls >= 0 && v !== state.cls) return false; + if (skip !== "pos" && !posIn(DATA.map.lat[i], DATA.map.lon[i])) return false; + if (skip !== "doy" && !doyIn(DATA.map.doy[i])) return false; + if (skip !== "hour" && !hourIn(DATA.map.hour[i])) return false; + if (skip !== "year" && !yearIn(DATA.map.year[i])) return false; + return true; +} + // ---------- pools ---------- function pool(){ - const cs = DATA.player["c"+state.parcel]; + const cs = DATA.player["c"+state.parcel], P = DATA.player; const out=[]; for (let i=0;i= 0 && cs[i] !== state.cls) continue; + if (!posIn(P.lat[i], P.lon[i]) || !doyIn(P.doy[i]) || + !hourIn(P.hour[i]) || !yearIn(P.year[i])) continue; + out.push(i); } return out; } @@ -222,16 +278,14 @@

    year

    const MEXT = {lo:-180, hi:180, la:-80, lb:90}; let densCache = null, densKey = ""; function buildDensity(){ - const key = state.parcel+"|"+state.cls+"|"+cvar("--bg"); + const key = state.parcel+"|"+state.cls+"|"+cvar("--bg")+"|"+ + JSON.stringify([state.selDoy, state.selHour, state.selYear]); if (key === densKey && densCache) return densCache; const bin = 2, nx = Math.ceil(360/bin), ny = Math.ceil((MEXT.lb-MEXT.la)/bin); const cnt = new Float32Array(nx*ny); - const cs = DATA.map["c"+state.parcel]; const {lat,lon} = DATA.map; for (let i=0;i= 0 && v !== state.cls) continue; + if (!passMap(i, "pos")) continue; const ix = Math.floor((lon[i]-MEXT.lo)/bin); const iy = Math.floor((lat[i]-MEXT.la)/bin); if (ix<0 || ix>=nx || iy<0 || iy>=ny) continue; // drop, never clamp @@ -268,6 +322,16 @@

    year

    } g.drawImage(buildDensity(),0,0); g.strokeStyle = cvar("--edge"); g.strokeRect(0.5,0.5,cv.width-1,cv.height-1); + if (state.selPos){ + const Xs = (state.selPos.lon-MEXT.lo)/360*cv.width; + const Ys = (MEXT.lb-state.selPos.lat)/(MEXT.lb-MEXT.la)*cv.height; + const degR = RAD_KM/111.2; + const ry = degR/(MEXT.lb-MEXT.la)*cv.height; + const rx = degR/Math.max(0.2, Math.cos(state.selPos.lat*Math.PI/180))/360*cv.width; + g.strokeStyle = cvar("--ink"); g.lineWidth = 2.5; g.setLineDash([7,5]); + g.beginPath(); g.ellipse(Xs, Ys, rx, ry, 0, 0, 7); g.stroke(); + g.setLineDash([]); + } // pulses const X = lo => (lo-MEXT.lo)/360*cv.width; const Yl = la => (MEXT.lb-la)/(MEXT.lb-MEXT.la)*cv.height; @@ -288,11 +352,8 @@

    year

    const W=cv.width, C=W/2, r0=W*0.23, r1=W*0.42; g.clearRect(0,0,W,W); const nb=36, cnt=new Float32Array(nb); - const csr = DATA.map["c"+state.parcel]; for (let i=0;i= 0 && v !== state.cls) continue; + if (!passMap(i, "doy")) continue; cnt[Math.min(nb-1, Math.floor((DATA.map.doy[i]-1)/366*nb))]++; } let mx=1; for (const c of cnt) if (c>mx) mx=c; @@ -307,6 +368,12 @@

    year

    g.strokeStyle=cvar("--grid"); g.lineWidth=1.5; g.beginPath(); g.arc(C,C,r0,0,7); g.stroke(); g.beginPath(); g.arc(C,C,r1,0,7); g.stroke(); + if (state.selDoy){ + const a0=-Math.PI/2 + ((state.selDoy.d-DOY_W-1)/366)*2*Math.PI; + const a1=-Math.PI/2 + ((state.selDoy.d+DOY_W)/366)*2*Math.PI; + g.strokeStyle=cvar("--ink"); g.lineWidth=5; g.globalAlpha=.8; + g.beginPath(); g.arc(C,C,r1+8,a0,a1); g.stroke(); g.globalAlpha=1; + } g.fillStyle=cvar("--ink2"); g.font="19px ui-monospace, Menlo, monospace"; g.textAlign="center"; g.textBaseline="middle"; for (let m=0;m<12;m++){ @@ -323,6 +390,50 @@

    year

    } } +// ---------- hour-of-day ring ---------- +function drawHours(now){ + const [cv,g] = ctx2("hours"); + const W=cv.width, C=W/2, r0=W*0.23, r1=W*0.42; + g.clearRect(0,0,W,W); + const nb=24, cnt=new Float32Array(nb); + for (let i=0;imx) mx=c; + const col = state.cls<0 ? cvar("--densall") : classColor(state.cls); + for (let k=0;k=0){ + const a=-Math.PI/2 + DATA.player.hour[state.cur]/24*2*Math.PI; + const flash = state.pulses.length? Math.max(0.4, 1-(now-state.pulses[state.pulses.length-1].t0)/1100):0.8; + g.fillStyle = classColor(DATA.player["c"+state.parcel][state.cur]); + g.globalAlpha = flash; + g.beginPath(); g.arc(C+Math.cos(a)*(r1+2), C+Math.sin(a)*(r1+2), 8, 0, 7); g.fill(); + g.globalAlpha = 1; + } +} + // ---------- year track ---------- function drawYears(now){ const [cv,g] = ctx2("years"); @@ -330,11 +441,8 @@

    year

    g.clearRect(0,0,W,H); const [y0,y1] = DATA.years, ny=y1-y0+1; const cnt=new Float32Array(ny); - const csy = DATA.map["c"+state.parcel]; for (let i=0;i= 0 && v !== state.cls) continue; + if (!passMap(i, "year")) continue; cnt[DATA.map.year[i]-y0]++; } let mx=1; for (const c of cnt) if (c>mx) mx=c; @@ -346,7 +454,13 @@

    year

    g.globalAlpha=0.85; g.fillRect(padL+k*bw+0.5, H-padB-h, Math.max(1,bw-1.5), h); } g.globalAlpha=1; - g.strokeStyle=cvar("--grid"); g.beginPath(); + if (state.selYear){ + const x=padL+(state.selYear.y-y0)*bw; + g.strokeStyle=cvar("--ink"); g.lineWidth=2.5; g.setLineDash([6,4]); + g.strokeRect(x+0.5, padT-4, bw-1, H-padT-padB+4); + g.setLineDash([]); + } + g.strokeStyle=cvar("--grid"); g.lineWidth=1; g.beginPath(); g.moveTo(padL,H-padB+0.5); g.lineTo(W-padR,H-padB+0.5); g.stroke(); g.fillStyle=cvar("--ink2"); g.font="19px ui-monospace, Menlo, monospace"; g.textAlign="center"; g.textBaseline="top"; @@ -373,8 +487,9 @@

    year

    .toISOString().slice(0,10); const et=P["Etop"+s][i], em=P["Emax"+s][i]; const flip = em>0 && et===0; + const hh = String(P.hour[i]).padStart(2,"0"); el.innerHTML = - `
    date${dt}
    `+ + `
    date${dt} ${hh}Z
    `+ `
    pos${fmtLat(P.lat[i])} ${fmtLon(P.lon[i])}
    `+ `
    SST${P.sst[i].toFixed(1)} °C
    `+ `
    topology${P["topo"+s][i]}
    `+ @@ -399,7 +514,8 @@

    year

    const p=document.createElement("span"); p.className="pct"; p.textContent=share.toFixed(1)+"%"; b.appendChild(p); } - b.addEventListener("click",()=>{ state.cls=cls; buildChips(); invalidate(); tickOnce(); }); + b.addEventListener("click",()=>{ state.cls=cls; buildChips(); invalidate(); + buildSelRow(); tickOnce(); }); host.appendChild(b); }; mk("ALL",-1,null); @@ -428,16 +544,102 @@

    year

    } function frame(){ const now=performance.now(); - drawMap(now); drawRing(now); drawYears(now); + drawMap(now); drawRing(now); drawHours(now); drawYears(now); requestAnimationFrame(frame); } +// ---------- marginal selection: click handlers ---------- +function evXY(cv, e){ + const r = cv.getBoundingClientRect(); + return [(e.clientX-r.left)*cv.width/r.width, (e.clientY-r.top)*cv.height/r.height]; +} +const MONTHS=["Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"]; +function doyLabel(d){ + const dt = new Date(Date.UTC(2001,0,1)+(d-1)*864e5); + return MONTHS[dt.getUTCMonth()]+" "+String(dt.getUTCDate()).padStart(2,"0"); +} +function selChanged(){ invalidate(); buildSelRow(); tickOnce(); } +function buildSelRow(){ + const host = document.getElementById("selrow"); + host.innerHTML = ""; + const mk = (label, clear) => { + const b = document.createElement("button"); + b.className = "chip"; + const t = document.createElement("span"); t.className="mono"; t.textContent = label; + const x = document.createElement("span"); x.className="x"; x.textContent = "\u00d7"; + b.append(t, x); + b.addEventListener("click", ()=>{ clear(); selChanged(); }); + host.appendChild(b); + }; + if (state.selPos) + mk(`pos ${fmtLat(state.selPos.lat)} ${fmtLon(state.selPos.lon)} \u00b1${RAD_KM} km`, + ()=> state.selPos = null); + if (state.selDoy) + mk(`doy ${doyLabel(state.selDoy.d)} \u00b1${DOY_W}d`, ()=> state.selDoy = null); + if (state.selHour) + mk(`hour ${String(state.selHour.h).padStart(2,"0")}Z \u00b1${HOUR_W}h`, + ()=> state.selHour = null); + if (state.selYear) + mk(`year ${state.selYear.y}`, ()=> state.selYear = null); + if (state.selPos || state.selDoy || state.selYear){ + const n = pool().length; + const c = document.createElement("span"); + c.className = "chip cnt mono"; + c.textContent = `${n} matching sample${n===1?"":"s"}`; + host.appendChild(c); + } +} +document.getElementById("map").addEventListener("click", e=>{ + const [cv] = ctx2("map"); + const [x,y] = evXY(cv, e); + state.selPos = {lat: +(MEXT.lb - y/cv.height*(MEXT.lb-MEXT.la)).toFixed(1), + lon: +(MEXT.lo + x/cv.width*360).toFixed(1)}; + selChanged(); +}); +document.getElementById("ring").addEventListener("click", e=>{ + const [cv] = ctx2("ring"); + const [x,y] = evXY(cv, e); + const C = cv.width/2, dx = x-C, dy = y-C, rr = Math.hypot(dx,dy); + if (rr < cv.width*0.12){ state.selDoy = null; selChanged(); return; } + let a = Math.atan2(dy,dx) + Math.PI/2; // 0 at top, clockwise + if (a < 0) a += 2*Math.PI; + state.selDoy = {d: Math.min(366, Math.max(1, Math.round(a/(2*Math.PI)*366)+1))}; + selChanged(); +}); +document.getElementById("hours").addEventListener("click", e=>{ + const [cv] = ctx2("hours"); + const [x,y] = evXY(cv, e); + const C = cv.width/2, dx = x-C, dy = y-C, rr = Math.hypot(dx,dy); + if (rr < cv.width*0.12){ state.selHour = null; selChanged(); return; } + let a = Math.atan2(dy,dx) + Math.PI/2; + if (a < 0) a += 2*Math.PI; + state.selHour = {h: Math.round(a/(2*Math.PI)*24) % 24}; + selChanged(); +}); +document.getElementById("years").addEventListener("click", e=>{ + const [cv] = ctx2("years"); + const [x] = evXY(cv, e); + const padL=16, padR=16; + const [y0,y1] = DATA.years, ny=y1-y0+1; + const k = Math.floor((x-padL)/((cv.width-padL-padR)/ny)); + if (k < 0 || k >= ny){ state.selYear = null; } + else state.selYear = {y: y0+k}; + selChanged(); +}); +addEventListener("keydown", e=>{ + if (e.key === "Escape" && + (state.selPos || state.selDoy || state.selHour || state.selYear)){ + state.selPos = state.selDoy = state.selHour = state.selYear = null; + selChanged(); + } +}); + document.querySelectorAll("[data-parcel]").forEach(b=>{ b.addEventListener("click",()=>{ state.parcel=b.dataset.parcel; state.cls=-1; state.trail=[]; document.querySelectorAll("[data-parcel]").forEach(x=> x.setAttribute("aria-pressed", String(x===b))); - buildChips(); invalidate(); drawScope(); tickOnce(); + buildChips(); invalidate(); buildSelRow(); drawScope(); tickOnce(); }); }); document.getElementById("play").addEventListener("click",()=>{ From 45f5333ed2de5c8da08efee4aff69264b23586ef Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:06:54 +0200 Subject: [PATCH 05/20] Sounding Scope: LNB conventions, per-convention CAPE/PI, disagreement filter scan_final now records the LNB pressure under each of the four conventions (columns 8-11). The artifact shows T/M/F/R lanes on the scope marking each convention's LNB for the current profile in the document's semantic colors (red topmost, aqua max-work, yellow first, violet ballistic); the readout lists CAPE @ LNB per convention and VMAX under legacy vs max-work (from pi_conv, ptop=50), flagging disagreements. A condition chip row crossfilters everything to disagreement populations: clamp-flips, |dE|>10 J/kg, |dVMAX|>1 m/s, and the eight real legacy non-convergent columns, which are force- included in the player pool and map layer. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 43 ++++++++++- era5_analysis/scan_final.py | 32 +++++--- era5_analysis/sounding_scope_template.html | 88 +++++++++++++++++++--- 3 files changed, 141 insertions(+), 22 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index 33f585f..474e6d0 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -21,6 +21,8 @@ d = {k: _d[k] for k in _d.files} _z = np.load(f"{SCRATCH}/parcel_topology_final.npz") z = {k: _z[k] for k in ("A", "B", "C", "PM")} +_pc = np.load(f"{SCRATCH}/pi_conv_results.npz") +PI = {k: _pc[k] for k in ("VMAX", "PMIN", "IFL")} # (n, 4): top,max,first,reach P_full = d["P"] nlvl = int((P_full > PTOP).sum()) P = P_full[:nlvl].copy() @@ -75,6 +77,10 @@ def cls(pname, i): # ---- player pool: ensure every top class of every parcel is represented ---- pool = set(rng.choice(pop["A"], 1500, replace=False).tolist()) +# force-include the wild legacy non-convergence columns (IFL_top=2, IFL_max=1) +legfail_rows = np.where((PI["IFL"][:, 0] == 2) & (PI["IFL"][:, 1] == 1) & mA)[0] +pool.update(legfail_rows.tolist()) +print("legacy-failure columns force-included:", len(legfail_rows)) for pname in "ABC": for t in tables[pname]: rows = pop[pname][allstrs[pname] == t] @@ -114,15 +120,29 @@ def cls(pname, i): } for pname in "ABC": m = popmask[pname] + o = z[pname] player[f"c{pname}"] = [int(cls(pname, i)) for i in pool] - player[f"Etop{pname}"] = [int(round(z[pname][i, 2])) if m[i] else 0 for i in pool] - player[f"Emax{pname}"] = [int(round(z[pname][i, 3])) if m[i] else 0 for i in pool] - player[f"topo{pname}"] = [topo_str(z[pname][i, 0], z[pname][i, 1]) if m[i] else "" + for tag, col in (("Etop", 2), ("Emax", 3), ("Efirst", 4), ("Ereach", 5)): + player[f"{tag}{pname}"] = [int(round(o[i, col])) if m[i] else 0 for i in pool] + for tag, col in (("Ltop", 8), ("Lmax", 9), ("Lfirst", 10), ("Lreach", 11)): + player[f"{tag}{pname}"] = [round(float(o[i, col]), 1) if m[i] else 0 for i in pool] + player[f"topo{pname}"] = [topo_str(o[i, 0], o[i, 1]) if m[i] else "" for i in pool] player[f"curve{pname}"] = curves[pname] +# PI per convention for the column (ptop=50 tcpyPI convention; -1 = missing) +for k, tag in enumerate(("top", "max", "first", "reach")): + player[f"V{tag}"] = [round(float(PI["VMAX"][i, k]), 1) + if np.isfinite(PI["VMAX"][i, k]) else -1 for i in pool] +player["Ptop"] = [round(float(PI["PMIN"][i, 0]), 1) + if np.isfinite(PI["PMIN"][i, 0]) else -1 for i in pool] +player["Pmax"] = [round(float(PI["PMIN"][i, 1]), 1) + if np.isfinite(PI["PMIN"][i, 1]) else -1 for i in pool] +player["legfail"] = [1 if (PI["IFL"][i, 0] == 2 and PI["IFL"][i, 1] == 1) else 0 + for i in pool] # ---- map layer ---- msel = rng.choice(pop["A"], min(40000, len(pop["A"])), replace=False) +msel = np.unique(np.concatenate([msel, legfail_rows])) mlon = np.where(d["lon"][msel] > 180, d["lon"][msel] - 360, d["lon"][msel]) mappts = { "lat": [round(float(x), 2) for x in d["lat"][msel]], @@ -133,6 +153,23 @@ def cls(pname, i): } for pname in "ABC": mappts[f"c{pname}"] = [int(cls(pname, i)) for i in msel] + # disagreement bitmask: 1 = E_top clamped to 0 while E_max>0; 2 = |dE|>10 + o = z[pname] + m = popmask[pname] + g = [] + for i in msel: + v = 0 + if m[i]: + if o[i, 2] == 0.0 and o[i, 3] > 0.0: + v |= 1 + if abs(o[i, 2] - o[i, 3]) > 10.0: + v |= 2 + g.append(v) + mappts[f"g{pname}"] = g +dv = np.abs(PI["VMAX"][msel, 0] - PI["VMAX"][msel, 1]) +mappts["gpi"] = [(1 if (PI["IFL"][i, 0] == 2 and PI["IFL"][i, 1] == 1) else + (2 if (np.isfinite(dvv) and dvv > 1.0) else 0)) + for i, dvv in zip(msel, dv)] # per-parcel x-limits for the scope (tropospheric percentiles) # x-limits: lower bound = the most negative any curve goes BEFORE its last diff --git a/era5_analysis/scan_final.py b/era5_analysis/scan_final.py index 26f6e79..bf50c67 100644 --- a/era5_analysis/scan_final.py +++ b/era5_analysis/scan_final.py @@ -61,7 +61,8 @@ def buoyancy(TP, RP, PP, T, R, P, nlvl, b): @njit(cache=True) def summarize(b, P, PP, nlvl, out): """out = [first_sign(+1/-1/0), n, E_top, E_max, E_first, E_reach, - clamped, clipped]""" + clamped, clipped, LNB_top, LNB_max, LNB_first, LNB_reach] + (LNB pressures in hPa; 0 where the convention returns zero CAPE)""" # ---- topology under the perturbation convention ---- # effective sign sequence: skip zero values for the leading sign; a zero # value elsewhere adopts the '-' side as before (b>0 is '+') @@ -87,6 +88,7 @@ def summarize(b, P, PP, nlvl, out): W = RD * (PP - P[0]) / (PP + P[0]) * b[0] ncand = 0 cand_W = np.empty(nlvl + 1) + cand_P = np.empty(nlvl + 1) up_W = 0.0 # W entering the first positive region seen_pos = b[0] > 0.0 if seen_pos: @@ -103,6 +105,7 @@ def summarize(b, P, PP, nlvl, out): W += RD * b0 * (P[j - 1] - PC) / (P[j - 1] + PC) if b0 > 0.0: cand_W[ncand] = W # down-crossing candidate + cand_P[ncand] = PC ncand += 1 else: if not have_up: @@ -114,6 +117,7 @@ def summarize(b, P, PP, nlvl, out): top_pos = b[nlvl - 1] > 0.0 if top_pos: cand_W[ncand] = W # profile-top candidate (clipped) + cand_P[ncand] = P[nlvl - 1] ncand += 1 out[7] = 1.0 if top_pos else 0.0 @@ -125,6 +129,7 @@ def summarize(b, P, PP, nlvl, out): for kk in range(ncand): if cand_W[kk] > best: best = cand_W[kk] + out[9] = cand_P[kk] # LNB_max out[3] = best # E_top: legacy requires a positive grid level above the launch node @@ -139,10 +144,12 @@ def summarize(b, P, PP, nlvl, out): out[6] = 1.0 else: out[2] = raw + out[8] = cand_P[ncand - 1] # LNB_top # E_first if cand_W[0] > 0.0: out[4] = cand_W[0] + out[10] = cand_P[0] # LNB_first # E_reach (lifted-ballistic): walk candidates; between candidate k and # k+1 the parcel traverses a negative region whose minimum W is the entry @@ -166,6 +173,7 @@ def summarize(b, P, PP, nlvl, out): if b0 > 0.0: if entered and not stalled and W2 > bestr: bestr = W2 + out[11] = PC # LNB_reach else: if not entered: entered = True @@ -176,7 +184,12 @@ def summarize(b, P, PP, nlvl, out): W2 += RD * (b0 + b1) * (P[j - 1] - P[j]) / (P[j] + P[j - 1]) if top_pos and entered and not stalled and W2 > bestr: bestr = W2 - out[5] = bestr if bestr > 0.0 else 0.0 + out[11] = P[nlvl - 1] + if bestr > 0.0: + out[5] = bestr + else: + out[5] = 0.0 + out[11] = 0.0 @njit(cache=True) @@ -187,11 +200,11 @@ def pm_converged(SSTC, MSL, T, R, P, nlvl): SSTK = utilities.T_Ctok(SSTC) ES0 = utilities.es_cc(SSTC) b = np.empty(nlvl) - tmp = np.empty(8) + tmp = np.empty(12) # E_max-only cape via summarize (out[3]) def _capemax(TP, RP, PP): - for q in range(8): + for q in range(12): tmp[q] = 0.0 f = buoyancy(TP, RP, PP, T, R, P, nlvl, b) if f != 1: @@ -213,7 +226,7 @@ def _capemax(TP, RP, PP): f = buoyancy(SSTK, RPS, PP, T, R, P, nlvl, b) if f != 1: return np.nan - for q in range(8): + for q in range(12): tmp[q] = 0.0 summarize(b, P, PP, nlvl, tmp) CAPEMS = tmp[3] @@ -285,9 +298,9 @@ def main(): Rs = d["R"][:, :nlvl].copy() nprof = TCs.shape[0] PMs = np.full(nprof, np.nan) - outA = np.zeros((nprof, 8)) - outB = np.zeros((nprof, 8)) - outC = np.zeros((nprof, 8)) + outA = np.zeros((nprof, 12)) + outB = np.zeros((nprof, 12)) + outC = np.zeros((nprof, 12)) t0 = time.time() run(d["sst_C"][:50], d["sp_hPa"][:50], TCs[:50], Rs[:50], P, nlvl, @@ -297,7 +310,8 @@ def main(): np.savez_compressed(f"{SCRATCH}/parcel_topology_final.npz", A=outA, B=outB, C=outC, PM=PMs, cols=np.array(["first_sign", "n", "E_top", "E_max", - "E_first", "E_reach", "clamped", "clipped"])) + "E_first", "E_reach", "clamped", "clipped", + "LNB_top", "LNB_max", "LNB_first", "LNB_reach"])) print("saved parcel_topology_final.npz") diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 8186aa3..eea084a 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -106,6 +106,7 @@

    Sounding Scope

    5/s
    +
    +
    +

    potential intensity by convention — x: legacy topmost · y: max-work / ballistic

    + +
    @@ -532,6 +537,79 @@

    year

    } } +// ---------- PI scatter (x = VMAX_top; y = VMAX_max and VMAX_reach) ---------- +let scatCache = null, scatKey = ""; +let AXMAX = 0; +function drawScatter(){ + const [cv,g] = ctx2("piscatter"); + const W=cv.width, H=cv.height, padL=76, padR=20, padT=14, padB=64; + if (!AXMAX){ + let mx = 0; + for (const k of ["Vtop","Vmax","Vreach"]) + for (const v of DATA.map[k]) if (v > mx) mx = v; + AXMAX = Math.ceil(mx/10)*10; + } + const key = state.parcel+"|"+state.cls+"|"+state.cond+"|"+cvar("--bg")+"|"+ + JSON.stringify([state.selPos, state.selDoy, state.selHour, state.selYear]); + if (key !== scatKey || !scatCache){ + const off = document.createElement("canvas"); + off.width = W; off.height = H; + const og = off.getContext("2d"); + const X = v => padL + v/AXMAX*(W-padL-padR); + const Y = v => H-padB - v/AXMAX*(H-padT-padB); + og.font = "20px ui-monospace, Menlo, monospace"; + og.strokeStyle = cvar("--grid"); og.fillStyle = cvar("--ink2"); og.lineWidth = 1.4; + for (let v=0; v<=AXMAX; v+=20){ + og.beginPath(); og.moveTo(X(v),padT); og.lineTo(X(v),H-padB); og.stroke(); + og.beginPath(); og.moveTo(padL,Y(v)); og.lineTo(W-padR,Y(v)); og.stroke(); + og.textAlign="center"; og.textBaseline="top"; og.fillText(String(v), X(v), H-padB+8); + og.textAlign="right"; og.textBaseline="middle"; og.fillText(String(v), padL-8, Y(v)); + } + og.textAlign="center"; + og.fillText("VMAX, legacy topmost LNB [m/s]", (padL+W-padR)/2, H-padB+34); + og.save(); og.translate(20,(padT+H-padB)/2); og.rotate(-Math.PI/2); + og.textAlign="center"; og.fillText("VMAX, alternative LNB [m/s]", 0, 0); og.restore(); + // light diagonal reference + og.strokeStyle = cvar("--ink2"); og.globalAlpha = 0.45; og.lineWidth = 1.6; + og.setLineDash([6,5]); + og.beginPath(); og.moveTo(X(0),Y(0)); og.lineTo(X(AXMAX),Y(AXMAX)); og.stroke(); + og.setLineDash([]); og.globalAlpha = 1; + // points: every map point passing ALL filters + const Vt = DATA.map.Vtop, Vm = DATA.map.Vmax, Vr = DATA.map.Vreach; + for (const [Vy, colv] of [[Vm,"--c1"], [Vr,"--c4"]]){ + og.fillStyle = cvar(colv); og.globalAlpha = 0.35; + for (let i=0;i=0){ + const P = DATA.player, i = state.cur; + const X = v => padL + v/AXMAX*(W-padL-padR); + const Y = v => H-padB - v/AXMAX*(H-padT-padB); + if (P.Vtop[i] >= 0){ + for (const [vy, colv] of [[P.Vmax[i],"--c1"], [P.Vreach[i],"--c4"]]){ + if (vy < 0) continue; + g.strokeStyle = cvar(colv); g.lineWidth = 3; + g.beginPath(); g.arc(X(P.Vtop[i]), Y(vy), 8, 0, 7); g.stroke(); + } + } + } +} + // ---------- readout ---------- const FSP = "\u2007"; // figure space: digit-wide, keeps the layout stable function fmtLat(v){ return Math.abs(v).toFixed(1).padStart(4,FSP)+"°"+(v>=0?"N":"S"); } @@ -620,7 +698,7 @@

    year

    // ---------- engine ---------- let timer=null; -function invalidate(){ densKey=""; } +function invalidate(){ densKey=""; scatKey=""; } function tickOnce(){ const p = pool(); if (!p.length) return; @@ -640,7 +718,7 @@

    year

    } function frame(){ const now=performance.now(); - drawMap(now); drawRing(now); drawHours(now); drawYears(now); + drawMap(now); drawRing(now); drawHours(now); drawYears(now); drawScatter(); requestAnimationFrame(frame); } From 055e0a45920b56d5110097506b3ddf4d626511a1 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:57:46 +0200 Subject: [PATCH 12/20] Sounding Scope: separate delta-VMAX scatters; unified convention names Replace the combined PI scatter with two panels: dVMAX = max - top and dVMAX = reach - top vs VMAX(top), each with a horizontal zero reference instead of the diagonal and a symmetric y-axis computed from the FILTERED deltas so points are never clipped (the axis rescales). Convention naming is now uniform everywhere -- top / max / reach -- with the long definitions stated once in the footer; the condition chip reads "top non-convergent". Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 135 ++++++++++++--------- 1 file changed, 76 insertions(+), 59 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 8ff04c1..42dcbb8 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -75,7 +75,7 @@ font-family:ui-monospace,"SF Mono","Cascadia Code",Menlo,Consolas,monospace} canvas{display:block; width:100%; height:auto} #map,#ring,#hours,#years{cursor:crosshair} -#piscatter{cursor:default} +#scatmax,#scatreach{cursor:default} .selrow .chip{border-style:dashed} .selrow .x{margin-left:4px; font-weight:700; opacity:.7} .selrow .cnt{color:var(--ink2)} @@ -134,9 +134,15 @@

    year

    -
    -

    potential intensity by convention — x: legacy topmost · y: max-work / ballistic

    - +
    +
    +

    ΔVMAX: max − top

    + +
    +
    +

    ΔVMAX: reach − top

    + +
    @@ -146,8 +152,10 @@

    potential intensity by convention — x: legacy topmost · y: max-work / bal its location, and its date. The shaded layers show where and when the currently filtered topology lives: a 2°-binned density on the map, a 10-day rose on the ring, and yearly counts on the track. Curve and markers take the color of the - profile's topology class. The readout compares CAPE under the legacy topmost-level - LNB (E_top) and the max-work LNB (E_max) — it turns red when the legacy rule + profile's topology class. LNB conventions, named consistently throughout as + top (the legacy pcmin rule: integrate the signed work to the topmost + positive level, clamp at zero), max (maximum buoyancy work), and + reach (ballistic coasting from the LFC): the readout turns red when top returns zero for a convectively viable profile. Parcels: A = ambient air lifted as-is; B = boundary-layer air moisture-enriched by the storm's converged central pressure; C = air saturated at the sea-surface temperature. Space bar toggles play. Click any marginal to filter the samples: @@ -156,12 +164,12 @@

    potential intensity by convention — x: legacy topmost · y: max-work / bal density under the other filters, with its own selection dashed. Click the × chips or press Escape to clear. The condition chips restrict everything to profiles where the LNB conventions disagree: T/M/R lanes on - the scope mark each convention's LNB (T = legacy topmost, M = max-work, - R = lifted-ballistic; the first-crossing convention is omitted — it is - materially wrong too often to be interesting); CAPE and potential intensity per + the scope mark the LNB under top, max, and reach (the first-crossing + convention is omitted — it is materially wrong too often to be + interesting); CAPE and potential intensity per convention appear in the readout (PI computed at tcpyPI's own ptop = 50). - The eight real columns where the legacy convention fails to converge are - included — select "legacy non-convergent" to see them. + The eight real columns where the top convention fails to converge are + included — select "top non-convergent" to see them. @@ -181,7 +189,7 @@

    potential intensity by convention — x: legacy topmost · y: max-work / bal // ("!=" at > 1 J/kg throughout) const CONDS = [["all profiles",0], ["0 \u2260 top \u2260 max",1], ["0 = top \u2260 max",2], ["reach \u2260 max",3], - ["|\u0394VMAX| > 1 m/s",4], ["legacy non-convergent",5]]; + ["|\u0394VMAX| > 1 m/s",4], ["top non-convergent",5]]; const CONVC = {top:"--c5", max:"--c1", first:"--c2", reach:"--c4"}; // red aqua yellow violet const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; @@ -537,78 +545,87 @@

    potential intensity by convention — x: legacy topmost · y: max-work / bal } } -// ---------- PI scatter (x = VMAX_top; y = VMAX_max and VMAX_reach) ---------- -let scatCache = null, scatKey = ""; +// ---------- PI delta scatters (x = VMAX_top; y = VMAX_conv - VMAX_top) ---------- +const scatCaches = {scatmax: {key:"", cv:null}, scatreach: {key:"", cv:null}}; let AXMAX = 0; -function drawScatter(){ - const [cv,g] = ctx2("piscatter"); - const W=cv.width, H=cv.height, padL=76, padR=20, padT=14, padB=64; +function drawOneScatter(id, Vy, colv){ + const [cv,g] = ctx2(id); + const W=cv.width, H=cv.height, padL=64, padR=14, padT=14, padB=58; if (!AXMAX){ let mx = 0; for (const k of ["Vtop","Vmax","Vreach"]) for (const v of DATA.map[k]) if (v > mx) mx = v; AXMAX = Math.ceil(mx/10)*10; } + const cache = scatCaches[id]; const key = state.parcel+"|"+state.cls+"|"+state.cond+"|"+cvar("--bg")+"|"+ JSON.stringify([state.selPos, state.selDoy, state.selHour, state.selYear]); - if (key !== scatKey || !scatCache){ + if (key !== cache.key || !cache.cv){ + const Vt = DATA.map.Vtop; + // adaptive symmetric y-limit from the FILTERED deltas: the axis rescales + // so no point is ever clipped or clamped + let dmax = 0; + const pts = []; + for (let i=0;i dmax) dmax = ad; + } + const YL = Math.max(1, dmax*1.1); const off = document.createElement("canvas"); off.width = W; off.height = H; const og = off.getContext("2d"); const X = v => padL + v/AXMAX*(W-padL-padR); - const Y = v => H-padB - v/AXMAX*(H-padT-padB); - og.font = "20px ui-monospace, Menlo, monospace"; - og.strokeStyle = cvar("--grid"); og.fillStyle = cvar("--ink2"); og.lineWidth = 1.4; + const Y = d => padT + (YL - d)/(2*YL)*(H-padT-padB); + og.font = "18px ui-monospace, Menlo, monospace"; + og.strokeStyle = cvar("--grid"); og.fillStyle = cvar("--ink2"); og.lineWidth = 1.2; for (let v=0; v<=AXMAX; v+=20){ og.beginPath(); og.moveTo(X(v),padT); og.lineTo(X(v),H-padB); og.stroke(); - og.beginPath(); og.moveTo(padL,Y(v)); og.lineTo(W-padR,Y(v)); og.stroke(); og.textAlign="center"; og.textBaseline="top"; og.fillText(String(v), X(v), H-padB+8); - og.textAlign="right"; og.textBaseline="middle"; og.fillText(String(v), padL-8, Y(v)); + } + // y ticks: 5 nice levels + const step = YL > 20 ? Math.ceil(YL/2/10)*10 : (YL > 4 ? Math.ceil(YL/2) : YL/2); + for (let d=-2*step; d<=2*step; d+=step){ + if (Math.abs(d) > YL) continue; + og.beginPath(); og.moveTo(padL,Y(d)); og.lineTo(W-padR,Y(d)); og.stroke(); + og.textAlign="right"; og.textBaseline="middle"; + og.fillText((d>0?"+":"")+(step<1?d.toFixed(1):String(Math.round(d))), padL-6, Y(d)); } og.textAlign="center"; - og.fillText("VMAX, legacy topmost LNB [m/s]", (padL+W-padR)/2, H-padB+34); - og.save(); og.translate(20,(padT+H-padB)/2); og.rotate(-Math.PI/2); - og.textAlign="center"; og.fillText("VMAX, alternative LNB [m/s]", 0, 0); og.restore(); - // light diagonal reference - og.strokeStyle = cvar("--ink2"); og.globalAlpha = 0.45; og.lineWidth = 1.6; + og.fillText("VMAX(top) [m/s]", (padL+W-padR)/2, H-padB+30); + // zero reference line + og.strokeStyle = cvar("--ink2"); og.globalAlpha = 0.5; og.lineWidth = 1.6; og.setLineDash([6,5]); - og.beginPath(); og.moveTo(X(0),Y(0)); og.lineTo(X(AXMAX),Y(AXMAX)); og.stroke(); + og.beginPath(); og.moveTo(padL,Y(0)); og.lineTo(W-padR,Y(0)); og.stroke(); og.setLineDash([]); og.globalAlpha = 1; - // points: every map point passing ALL filters - const Vt = DATA.map.Vtop, Vm = DATA.map.Vmax, Vr = DATA.map.Vreach; - for (const [Vy, colv] of [[Vm,"--c1"], [Vr,"--c4"]]){ - og.fillStyle = cvar(colv); og.globalAlpha = 0.35; - for (let i=0;i=0){ const P = DATA.player, i = state.cur; - const X = v => padL + v/AXMAX*(W-padL-padR); - const Y = v => H-padB - v/AXMAX*(H-padT-padB); - if (P.Vtop[i] >= 0){ - for (const [vy, colv] of [[P.Vmax[i],"--c1"], [P.Vreach[i],"--c4"]]){ - if (vy < 0) continue; - g.strokeStyle = cvar(colv); g.lineWidth = 3; - g.beginPath(); g.arc(X(P.Vtop[i]), Y(vy), 8, 0, 7); g.stroke(); - } + const vy = id === "scatmax" ? P.Vmax[i] : P.Vreach[i]; + if (P.Vtop[i] >= 0 && vy >= 0){ + const YL = cache.YL; + const X = v => padL + v/AXMAX*(W-padL-padR); + const Y = d => padT + (YL - d)/(2*YL)*(H-padT-padB); + g.strokeStyle = cvar(colv); g.lineWidth = 3; + g.beginPath(); g.arc(X(P.Vtop[i]), Y(vy - P.Vtop[i]), 8, 0, 7); g.stroke(); } } } +function drawScatter(){ + drawOneScatter("scatmax", DATA.map.Vmax, "--c1"); + drawOneScatter("scatreach", DATA.map.Vreach, "--c4"); +} // ---------- readout ---------- const FSP = "\u2007"; // figure space: digit-wide, keeps the layout stable @@ -634,9 +651,9 @@

    potential intensity by convention — x: legacy topmost · y: max-work / bal `
    SST${P.sst[i].toFixed(1)} °C
    `+ `
    topology${P["topo"+s][i] || "–"}
    `+ `
    VMAX top/max${vt<0?(P.legfail[i]? "IFL=2 ⚠":"–"):vt.toFixed(1)} / ${vm<0?"–":vm.toFixed(1)} m/s
    `+ - `
    T top${et} J/kg @ ${L("Ltop")} hPa${flip?' ⚠':''}
    `+ - `
    M max${em} J/kg @ ${L("Lmax")} hPa
    `+ - `
    R reach${er} J/kg @ ${L("Lreach")} hPa
    `; + `
    E top${et} J/kg @ ${L("Ltop")} hPa${flip?' ⚠':''}
    `+ + `
    E max${em} J/kg @ ${L("Lmax")} hPa
    `+ + `
    E reach${er} J/kg @ ${L("Lreach")} hPa
    `; } // ---------- chips ---------- From 6e6c93a32c444b7db203c2c744c2a31bc4ccdc47 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 18:03:35 +0200 Subject: [PATCH 13/20] Sounding Scope: clickable delta-VMAX scatters as crossfilter marginals Clicking either scatter selects a window in (VMAX(top), dVMAX) space (+/-5 m/s in x, +/-10% of the y-scale at click time in delta, min 0.5), one PI selection at a time, shown as a dashed rectangle and a dismissable chip. The selection filters the flipbook pool, map, rings, year track, and chip shares; the scatters themselves skip their own dimension per crossfilter convention. Clicking the panel padding or pressing Escape clears it. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 59 +++++++++++++++++++--- 1 file changed, 52 insertions(+), 7 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 42dcbb8..a0e8f0f 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -75,7 +75,7 @@ font-family:ui-monospace,"SF Mono","Cascadia Code",Menlo,Consolas,monospace} canvas{display:block; width:100%; height:auto} #map,#ring,#hours,#years{cursor:crosshair} -#scatmax,#scatreach{cursor:default} +#scatmax,#scatreach{cursor:crosshair} .selrow .chip{border-style:dashed} .selrow .x{margin-left:4px; font-weight:700; opacity:.7} .selrow .cnt{color:var(--ink2)} @@ -182,7 +182,8 @@

    ΔVMAX: reach − top

    selPos:null, // {lat, lon} with RAD_KM radius selDoy:null, // {d} with +/- DOY_W days (circular) selHour:null, // {h} with +/- HOUR_W hours (circular) - selYear:null}; // {y} + selYear:null, // {y} + selPI:null}; // {which:"max"|"reach", v, d, dv, dd} window in dVMAX space const RAD_KM = 1500, DOY_W = 15, HOUR_W = 3; state.cond = 0; // 0 all | 1 0!=top!=max | 2 0=top!=max | 3 reach!=max | 4 |dVMAX|>1 | 5 legacy @@ -219,6 +220,12 @@

    ΔVMAX: reach − top

    return Math.min(dh, 24-dh) <= HOUR_W; } function yearIn(y){ return !state.selYear || y === state.selYear.y; } +function piIn(vt, vm, vr){ + if (!state.selPI) return true; + const S = state.selPI, vy = S.which === "max" ? vm : vr; + if (vt < 0 || vy < 0) return false; + return Math.abs(vt - S.v) <= S.dv && Math.abs((vy - vt) - S.d) <= S.dd; +} function condPassMap(i){ if (state.cond === 0) return true; if (state.cond === 4) return DATA.map.gpi[i] === 2; @@ -250,6 +257,8 @@

    ΔVMAX: reach − top

    if (skip !== "doy" && !doyIn(DATA.map.doy[i])) return false; if (skip !== "hour" && !hourIn(DATA.map.hour[i])) return false; if (skip !== "year" && !yearIn(DATA.map.year[i])) return false; + if (skip !== "pi" && !piIn(DATA.map.Vtop[i], DATA.map.Vmax[i], DATA.map.Vreach[i])) + return false; return condPassMap(i); } @@ -262,6 +271,7 @@

    ΔVMAX: reach − top

    if (state.cls >= 0 && cs[i] !== state.cls) continue; if (!posIn(P.lat[i], P.lon[i]) || !doyIn(P.doy[i]) || !hourIn(P.hour[i]) || !yearIn(P.year[i])) continue; + if (!piIn(P.Vtop[i], P.Vmax[i], P.Vreach[i])) continue; if (!condPassPlayer(i)) continue; out.push(i); } @@ -348,7 +358,7 @@

    ΔVMAX: reach − top

    let densCache = null, densKey = ""; function buildDensity(){ const key = state.parcel+"|"+state.cls+"|"+state.cond+"|"+cvar("--bg")+"|"+ - JSON.stringify([state.selDoy, state.selHour, state.selYear]); + JSON.stringify([state.selDoy, state.selHour, state.selYear, state.selPI]); if (key === densKey && densCache) return densCache; const bin = 2, nx = Math.ceil(360/bin), ny = Math.ceil((MEXT.lb-MEXT.la)/bin); const cnt = new Float32Array(nx*ny); @@ -567,7 +577,7 @@

    ΔVMAX: reach − top

    let dmax = 0; const pts = []; for (let i=0;iΔVMAX: reach − top

    } g.clearRect(0,0,W,H); g.drawImage(cache.cv,0,0); + const which = id === "scatmax" ? "max" : "reach"; + if (state.selPI && state.selPI.which === which){ + const S = state.selPI, YL = cache.YL; + const X = v => padL + v/AXMAX*(W-padL-padR); + const Y = d => padT + (YL - d)/(2*YL)*(H-padT-padB); + g.strokeStyle = cvar("--ink"); g.lineWidth = 2.5; g.setLineDash([7,5]); + g.strokeRect(X(S.v-S.dv), Y(S.d+S.dd), X(S.v+S.dv)-X(S.v-S.dv), + Y(S.d-S.dd)-Y(S.d+S.dd)); + g.setLineDash([]); + } if (state.cur>=0){ const P = DATA.player, i = state.cur; const vy = id === "scatmax" ? P.Vmax[i] : P.Vreach[i]; @@ -658,8 +678,8 @@

    ΔVMAX: reach − top

    // ---------- chips ---------- function anyFilter(){ - return !!(state.selPos || state.selDoy || state.selHour || state.selYear) - || state.cond !== 0; + return !!(state.selPos || state.selDoy || state.selHour || state.selYear || + state.selPI) || state.cond !== 0; } function chipShares(){ // live topology distribution under all OTHER filters (crossfilter: the @@ -772,6 +792,12 @@

    ΔVMAX: reach − top

    ()=> state.selHour = null); if (state.selYear) mk(`year ${state.selYear.y}`, ()=> state.selYear = null); + if (state.selPI){ + const S = state.selPI; + mk(`\u0394VMAX(${S.which}) @ top ${S.v.toFixed(0)}\u00b1${S.dv} \u00b7 `+ + `\u0394 ${S.d>=0?"+":""}${S.d.toFixed(1)}\u00b1${S.dd}`, + ()=> state.selPI = null); + } // matching counts are always shown: they reflect ALL active filters // (parcel, topology, condition, and any marginal selections) const n = pool().length; @@ -821,6 +847,23 @@

    ΔVMAX: reach − top

    state.selDoy = {d: Math.min(366, Math.max(1, Math.round(a/(2*Math.PI)*366)+1))}; selChanged(); }); +for (const id of ["scatmax","scatreach"]){ + document.getElementById(id).addEventListener("click", e=>{ + const [cv] = ctx2(id); + const [x,y] = evXY(cv, e); + const W=cv.width, H=cv.height, padL=64, padR=14, padT=14, padB=58; + const YL = scatCaches[id].YL || 1; + if (x < padL || x > W-padR || y < padT || y > H-padB){ + state.selPI = null; selChanged(); return; + } + const v = (x-padL)/(W-padL-padR)*AXMAX; + const d = YL - (y-padT)/(H-padT-padB)*2*YL; + state.selPI = {which: id === "scatmax" ? "max" : "reach", + v: +v.toFixed(1), d: +d.toFixed(2), dv: 5, + dd: +Math.max(0.5, 0.1*YL).toFixed(2)}; + selChanged(); + }); +} document.getElementById("hours").addEventListener("click", e=>{ const [cv] = ctx2("hours"); const [x,y] = evXY(cv, e); @@ -843,8 +886,10 @@

    ΔVMAX: reach − top

    }); addEventListener("keydown", e=>{ if (e.key === "Escape" && - (state.selPos || state.selDoy || state.selHour || state.selYear)){ + (state.selPos || state.selDoy || state.selHour || state.selYear || + state.selPI)){ state.selPos = state.selDoy = state.selHour = state.selYear = null; + state.selPI = null; selChanged(); } }); From f0139acf4dedc473c1b1b58b0a4ea9d50b1d011a Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 18:18:01 +0200 Subject: [PATCH 14/20] Sounding Scope: companion B/C curve on the scope VMAX^2 is proportional to (SST/T_O)(E_C - E_B), so when parcel B or C is selected the other of the pair is drawn for the same profile as a thin dashed curve in its own topology-class color: the PI winds live in the gap between the two curves. Footer states the relation. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 25 +++++++++++++++++++++- 1 file changed, 24 insertions(+), 1 deletion(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index a0e8f0f..65b5c26 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -158,7 +158,10 @@

    ΔVMAX: reach − top

    reach (ballistic coasting from the LFC): the readout turns red when top returns zero for a convectively viable profile. Parcels: A = ambient air lifted as-is; B = boundary-layer air moisture-enriched by the storm's converged central - pressure; C = air saturated at the sea-surface temperature. Space bar toggles play. Click any marginal to filter the samples: + pressure; C = air saturated at the sea-surface temperature. VMAX² ∝ + (SST/TO)(EC − EB), so with B or C + selected the other of the pair is drawn thin and dashed: the PI winds live in + the gap between those two curves. Space bar toggles play. Click any marginal to filter the samples: the map selects a position (±1,500 km), the rings a day-of-year window (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the density under the other filters, with its own selection dashed. @@ -330,6 +333,26 @@

    ΔVMAX: reach − top

    g.stroke(); g.restore(); }; state.trail.forEach((idx,k)=> drawCurve(idx, 0.05 + 0.10*k/Math.max(1,state.trail.length), 2)); + // companion curve: VMAX^2 ~ (SST/T_O)(E_C - E_B), so when B or C is + // selected, draw the other of the pair thin for the same profile -- + // the PI winds live in the gap between these two curves + if (state.cur>=0 && (state.parcel === "B" || state.parcel === "C")){ + const comp = state.parcel === "B" ? "C" : "B"; + const ccurve = DATA.player["curve"+comp][state.cur]; + const ccls = DATA.player["c"+comp][state.cur]; + if (ccurve.length && ccls >= 0){ + g.save(); + g.beginPath(); g.rect(padL, padT, W-padL-padR, H-padT-padB); g.clip(); + g.strokeStyle = classColor(ccls); g.globalAlpha = 0.5; g.lineWidth = 2; + g.setLineDash([8,5]); + g.beginPath(); + for (let j=0;j=0) drawCurve(state.cur, 1, 4.5); // LNB gutter: one lane per convention; a dot at each convention's LNB if (state.cur>=0){ From d00a5ea35681dffd7ea97e4d9163d3072af7bea6 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 18:26:18 +0200 Subject: [PATCH 15/20] Sounding Scope: fix invalidate() ReferenceError; toggle-clear on scatters The two-panel scatter refactor removed the scatKey variable but invalidate() still assigned to it -- a ReferenceError under strict mode that silently aborted selChanged() after the throw, so live chip shares, matching counts, and the resample tick were skipped or only partially updated on marginal clicks (some handlers ran buildChips before invalidate, making the staleness look erratic). invalidate() now clears the per-panel cache keys. Also: clicking inside the current dVMAX selection rectangle clears it (documented in the footer), alongside the existing chip-x / margin-click / Escape paths. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 18 +++++++++++++++--- 1 file changed, 15 insertions(+), 3 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 65b5c26..cc270ba 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -165,7 +165,8 @@

    ΔVMAX: reach − top

    the map selects a position (±1,500 km), the rings a day-of-year window (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the density under the other filters, with its own selection dashed. - Click the × chips or press Escape to clear. The condition chips restrict + Click the × chips or press Escape to clear; on the ΔVMAX panels, + clicking inside the current selection rectangle also clears it. The condition chips restrict everything to profiles where the LNB conventions disagree: T/M/R lanes on the scope mark the LNB under top, max, and reach (the first-crossing convention is omitted — it is materially wrong too often to be @@ -758,7 +759,11 @@

    ΔVMAX: reach − top

    // ---------- engine ---------- let timer=null; -function invalidate(){ densKey=""; scatKey=""; } +function invalidate(){ + densKey = ""; + scatCaches.scatmax.key = ""; + scatCaches.scatreach.key = ""; +} function tickOnce(){ const p = pool(); if (!p.length) return; @@ -881,7 +886,14 @@

    ΔVMAX: reach − top

    } const v = (x-padL)/(W-padL-padR)*AXMAX; const d = YL - (y-padT)/(H-padT-padB)*2*YL; - state.selPI = {which: id === "scatmax" ? "max" : "reach", + const which = id === "scatmax" ? "max" : "reach"; + const S = state.selPI; + if (S && S.which === which && + Math.abs(v - S.v) <= S.dv && Math.abs(d - S.d) <= S.dd){ + state.selPI = null; // click inside the selection clears it + selChanged(); return; + } + state.selPI = {which, v: +v.toFixed(1), d: +d.toFixed(2), dv: 5, dd: +Math.max(0.5, 0.1*YL).toFixed(2)}; selChanged(); From e607e5cd6125a51e91be0828038a254a00e62205 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 18:30:22 +0200 Subject: [PATCH 16/20] Sounding Scope: always-on outflow-level marker on the scope axis The storm outflow level (parcel C's max-work LNB, the one that sets T_O in the PI formulas) is now marked with a labeled arrow on the scope's pressure axis for every profile, whichever parcel is selected -- keeping parcel B (where the topological variety lives) as the default view without hiding the LNB that actually bills into PI. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 23 ++++++++++++++++++++-- 1 file changed, 21 insertions(+), 2 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index cc270ba..fd59486 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -167,8 +167,11 @@

    ΔVMAX: reach − top

    density under the other filters, with its own selection dashed. Click the × chips or press Escape to clear; on the ΔVMAX panels, clicking inside the current selection rectangle also clears it. The condition chips restrict - everything to profiles where the LNB conventions disagree: T/M/R lanes on - the scope mark the LNB under top, max, and reach (the first-crossing + everything to profiles where the LNB conventions disagree: The OTL arrow on the + scope's pressure axis marks the storm outflow level — parcel C's LNB under + max, the one that sets TO in the PI formulas — for every profile, + whichever parcel is selected. T/M/R lanes + mark the selected parcel's LNB under top, max, and reach (the first-crossing convention is omitted — it is materially wrong too often to be interesting); CAPE and potential intensity per convention appear in the readout (PI computed at tcpyPI's own ptop = 50). @@ -355,6 +358,22 @@

    ΔVMAX: reach − top

    } } if (state.cur>=0) drawCurve(state.cur, 1, 4.5); + // outflow marker: the storm's outflow level is parcel C's max-work LNB + // (this is the LNB that sets T_O in the PI formulas) -- always shown, + // whichever parcel is selected + if (state.cur>=0){ + const potl = DATA.player.LmaxC[state.cur]; + if (potl > 0){ + const y = Y(potl); + g.fillStyle = cvar("--ink2"); + g.beginPath(); + g.moveTo(padL, y); g.lineTo(padL-12, y-7); g.lineTo(padL-12, y+7); + g.closePath(); g.fill(); + g.font = "17px ui-monospace, Menlo, monospace"; + g.textAlign = "right"; g.textBaseline = "bottom"; + g.fillText("OTL", padL-14, y-8); + } + } // LNB gutter: one lane per convention; a dot at each convention's LNB if (state.cur>=0){ const s = state.parcel, i = state.cur, Pl = DATA.player; From 277297b906ce90c4b632273ae376325642da8bba Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 22:51:00 +0200 Subject: [PATCH 17/20] Sounding Scope: full-population statistics table; 4.5x flip-book pool Counts, class shares, densities and the dVMAX scatters previously ran on a 40k map subsample, so marginal selections sparsified fast. The payload now carries every column (569,478 rows) as a binary-packed statistics table: little-endian int16/int8 columns (deci/centi quantization, -1 sentinels preserved exactly), gzipped and base64-embedded, decoded in the browser via DecompressionStream -- 12.5 MB raw -> 7.0 MB in-page. Player curves move to int16 centi-J/kg rectangles (same 0.01 precision as the old JSON), letting the flip-book pool grow 5.5k -> 24.5k within the 16 MB artifact cap. Dead "first"-convention player fields dropped. To keep 569k rows interactive, the per-frame day/hour/year histogram scans now sit behind selection-keyed caches (invalidated with the other caches), and the scatter panels switch to a two-pass dense rendering (low-alpha mass + opaque |dVMAX| > 1 m/s outliers) above 20k points. Count chip now reads "N of TOTAL columns"; footer documents that only the animated flip-book remains a sample. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 142 +++++++++++++-------- era5_analysis/sounding_scope_template.html | 103 ++++++++++++--- 2 files changed, 173 insertions(+), 72 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index caa6a99..dfa2321 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -1,10 +1,19 @@ -"""Assemble the JSON payload for the sounding-scope artifact.""" +"""Assemble the JSON payload for the sounding-scope artifact. + +The per-profile statistics table covers the FULL population (every column, +binary-packed little-endian, gzipped, base64) so that counts, class shares, +densities and the dVMAX scatters are exact under any marginalization. The +flip-book player carries curves for a ~20k stratified sample (curves are the +expensive part; the sample only has to be dense enough to animate). +""" import os as _os from pathlib import Path as _Path SCRATCH = _os.environ.get("ERA5_SCRATCH", str(_Path(__file__).resolve().parent / "work")) _SRC = str(_Path(__file__).resolve().parents[1] / "src") +import base64 +import gzip import json import sys @@ -76,7 +85,7 @@ def cls(pname, i): rng = np.random.default_rng(42) # ---- player pool: ensure every top class of every parcel is represented ---- -pool = set(rng.choice(pop["A"], 1500, replace=False).tolist()) +pool = set(rng.choice(pop["A"], 14000, replace=False).tolist()) # force-include the wild legacy non-convergence columns (IFL_top=2, IFL_max=1) legfail_rows = np.where((PI["IFL"][:, 0] == 2) & (PI["IFL"][:, 1] == 1) & mA)[0] pool.update(legfail_rows.tolist()) @@ -84,30 +93,34 @@ def cls(pname, i): for pname in "ABC": for t in tables[pname]: rows = pop[pname][allstrs[pname] == t] - take = min(220, len(rows)) + take = min(600, len(rows)) pool.update(rng.choice(rows, take, replace=False).tolist()) pool = np.array(sorted(pool)) print("player pool:", len(pool)) -curves = {"A": [], "B": [], "C": []} +# curve rectangles: (3, npool, nlvl) int16 in centi-J/kg (0.01 precision, +# same as the old JSON rounding); zeros where B/C undefined -- gzip erases +# the constant runs, and the JS side rebuilds [] from the class sentinel +npool = len(pool) +curvebuf = np.zeros((3, npool, nlvl), np.float64) b = np.empty(nlvl) -for i in pool: +for k, i in enumerate(pool): T = d["TC"][i, :nlvl] + 273.15 R = d["R"][i, :nlvl] * 0.001 buoyancy(T[0], R[0], P[0], T, R, P, nlvl, b) - curves["A"].append([round(float(x), 2) for x in b]) + curvebuf[0, k] = b if mBC[i]: PP = min(z["PM"][i], 1000.0) MSL = d["sp_hPa"][i] RP = EPS * R[0] * MSL / (PP * (EPS + R[0]) - R[0] * MSL) buoyancy(T[0], RP, PP, T, R, P, nlvl, b) - curves["B"].append([round(float(x), 2) for x in b]) + curvebuf[1, k] = b ES0 = utilities.es_cc(d["sst_C"][i]) buoyancy(d["sst_C"][i] + 273.15, utilities.rv(ES0, PP), PP, T, R, P, nlvl, b) - curves["C"].append([round(float(x), 2) for x in b]) - else: - curves["B"].append([]) - curves["C"].append([]) + curvebuf[2, k] = b +curves = {pn: curvebuf[j] for j, pn in enumerate("ABC")} +curve_i2 = np.round(curvebuf * 100).astype(" 180, d["lon"][pool] - 360, d["lon"][pool]) player = { @@ -122,15 +135,14 @@ def cls(pname, i): m = popmask[pname] o = z[pname] player[f"c{pname}"] = [int(cls(pname, i)) for i in pool] - for tag, col in (("Etop", 2), ("Emax", 3), ("Efirst", 4), ("Ereach", 5)): + for tag, col in (("Etop", 2), ("Emax", 3), ("Ereach", 5)): player[f"{tag}{pname}"] = [int(round(o[i, col])) if m[i] else 0 for i in pool] - for tag, col in (("Ltop", 8), ("Lmax", 9), ("Lfirst", 10), ("Lreach", 11)): + for tag, col in (("Ltop", 8), ("Lmax", 9), ("Lreach", 11)): player[f"{tag}{pname}"] = [round(float(o[i, col]), 1) if m[i] else 0 for i in pool] player[f"topo{pname}"] = [topo_str(o[i, 0], o[i, 1]) if m[i] else "" for i in pool] - player[f"curve{pname}"] = curves[pname] # PI per convention for the column (ptop=50 tcpyPI convention; -1 = missing) -for k, tag in enumerate(("top", "max", "first", "reach")): +for k, tag in zip((0, 1, 3), ("top", "max", "reach")): player[f"V{tag}"] = [round(float(PI["VMAX"][i, k]), 1) if np.isfinite(PI["VMAX"][i, k]) else -1 for i in pool] player["Ptop"] = [round(float(PI["PMIN"][i, 0]), 1) @@ -140,52 +152,77 @@ def cls(pname, i): player["legfail"] = [1 if (PI["IFL"][i, 0] == 2 and PI["IFL"][i, 1] == 1) else 0 for i in pool] -# ---- map layer ---- -msel = rng.choice(pop["A"], min(40000, len(pop["A"])), replace=False) -msel = np.unique(np.concatenate([msel, legfail_rows])) -mlon = np.where(d["lon"][msel] > 180, d["lon"][msel] - 360, d["lon"][msel]) -mappts = { - "lat": [round(float(x), 2) for x in d["lat"][msel]], - "lon": [round(float(x), 2) for x in mlon], - "doy": [int(x) for x in doy[msel]], - "year": [int(x) for x in years[msel]], - "hour": [int(x) for x in ((d["time"][msel] // 3600) % 24)], -} +# ---- statistics table: FULL population, binary-packed ---- +N = len(mA) +lon_all = np.where(d["lon"] > 180, d["lon"] - 360, d["lon"]) +hours_all = (d["time"] // 3600) % 24 + +clsv, gv = {}, {} for pname in "ABC": - mappts[f"c{pname}"] = [int(cls(pname, i)) for i in msel] + o = z[pname] + ci = np.full(N, -1, np.int8) + lut = tables[pname] + ci[pop[pname]] = np.array([lut.get(s, 7) for s in allstrs[pname]], np.int8) + clsv[pname] = ci # disagreement bitmask: 1 = clamp-flip (E_top=0 while E_max>0); # 2 = |E_top-E_max| > 1 J/kg; 4 = |E_reach-E_max| > 1 J/kg - o = z[pname] - m = popmask[pname] - g = [] - for i in msel: - v = 0 - if m[i]: - if o[i, 2] == 0.0 and o[i, 3] > 0.0: - v |= 1 - if abs(o[i, 2] - o[i, 3]) > 1.0: - v |= 2 - if abs(o[i, 5] - o[i, 3]) > 1.0: - v |= 4 - g.append(v) - mappts[f"g{pname}"] = g -# VMAX per convention for the scatter (-1 = missing/non-convergent) -for k, tag in enumerate(("top", "max", "reach")): - kk = {"top": 0, "max": 1, "reach": 3}[tag] - mappts[f"V{tag}"] = [round(float(PI["VMAX"][i, kk]), 1) - if np.isfinite(PI["VMAX"][i, kk]) else -1 for i in msel] -dv = np.abs(PI["VMAX"][msel, 0] - PI["VMAX"][msel, 1]) -mappts["gpi"] = [(1 if (PI["IFL"][i, 0] == 2 and PI["IFL"][i, 1] == 1) else - (2 if (np.isfinite(dvv) and dvv > 1.0) else 0)) - for i, dvv in zip(msel, dv)] + with np.errstate(invalid="ignore"): + g = ((o[:, 2] == 0.0) & (o[:, 3] > 0.0)).astype(np.uint8) + g |= (np.abs(o[:, 2] - o[:, 3]) > 1.0).astype(np.uint8) << 1 + g |= (np.abs(o[:, 5] - o[:, 3]) > 1.0).astype(np.uint8) << 2 + g[~popmask[pname]] = 0 + gv[pname] = g + +# VMAX per convention, deci-m/s; -10 encodes missing (decodes to -1.0) +vq = {} +for tag, k in (("top", 0), ("max", 1), ("reach", 3)): + V = PI["VMAX"][:, k] + vq[tag] = np.where(np.isfinite(V), np.round(V * 10), -10).astype(" 1.0) +gpi_all = np.where(legf, 1, np.where(big, 2, 0)).astype(np.uint8) + +# int16 columns first so every offset stays 2-byte aligned +bincols = [ + ("lat", "i2", 100, np.round(d["lat"] * 100).astype(" " + f"{len(mapbin['b64'])/1e6:.1f} MB b64gz; " + f"curves: {curve_i2.nbytes/1e6:.1f} MB raw -> " + f"{len(curvebin['b64'])/1e6:.1f} MB b64gz") # per-parcel x-limits for the scope (tropospheric percentiles) # x-limits: lower bound = the most negative any curve goes BEFORE its last # positive level (interior dips only; the terminal stratospheric plunge never # returns to positive and should not set the range), with a 10% margin. xlims = {} +poolBC = mBC[pool] for pname in "ABC": - arr = np.array([c for c in curves[pname] if len(c)]) + arr = curves[pname] if pname == "A" else curves[pname][poolBC] lo = 0.0 for c in arr: pos = np.where(c > 0)[0] @@ -200,7 +237,8 @@ def cls(pname, i): payload = { "P": [float(x) for x in P], "player": player, - "map": mappts, + "mapbin": mapbin, + "curvebin": curvebin, "classes": labels, "xlims": xlims, "years": [int(years[pop["A"]].min()), int(years[pop["A"]].max())], diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index fd59486..871b07a 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -161,7 +161,10 @@

    ΔVMAX: reach − top

    pressure; C = air saturated at the sea-surface temperature. VMAX² ∝ (SST/TO)(EC − EB), so with B or C selected the other of the pair is drawn thin and dashed: the PI winds live in - the gap between those two curves. Space bar toggles play. Click any marginal to filter the samples: + the gap between those two curves. Densities, class percentages, matching counts, + and the ΔVMAX scatters are computed over the full population + (every column); only the animated flip-book draws from a ~20k stratified + sample. Space bar toggles play. Click any marginal to filter the samples: the map selects a position (±1,500 km), the rings a day-of-year window (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the density under the other filters, with its own selection dashed. @@ -183,6 +186,44 @@

    ΔVMAX: reach − top

    From fdc5ac588e001590c2d77544acea58159024a47f Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 22:56:35 +0200 Subject: [PATCH 18/20] Sounding Scope: keep the current profile across compatible filter changes Switching parcel A/B/C or adding a marginal/topology/condition filter used to force an immediate resample even when the displayed profile was still inside the new subset. The per-index predicate is factored out of pool() as passPlayer(), and every filter-mutation path now goes through retick(): if the current profile still passes, only the scope and readout redraw (so the same sounding can be compared across parcels); resampling happens only when the profile falls outside the new subset. The play timer's cadence is unchanged. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 35 +++++++++++++--------- 1 file changed, 21 insertions(+), 14 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 871b07a..d390d24 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -311,18 +311,19 @@

    ΔVMAX: reach − top

    } // ---------- pools ---------- -function pool(){ +function passPlayer(i){ + if (i == null || i < 0) return false; const cs = DATA.player["c"+state.parcel], P = DATA.player; + if (cs[i] < 0) return false; // parcel undefined for this row + if (state.cls >= 0 && cs[i] !== state.cls) return false; + if (!posIn(P.lat[i], P.lon[i]) || !doyIn(P.doy[i]) || + !hourIn(P.hour[i]) || !yearIn(P.year[i])) return false; + if (!piIn(P.Vtop[i], P.Vmax[i], P.Vreach[i])) return false; + return condPassPlayer(i); +} +function pool(){ const out=[]; - for (let i=0;i= 0 && cs[i] !== state.cls) continue; - if (!posIn(P.lat[i], P.lon[i]) || !doyIn(P.doy[i]) || - !hourIn(P.hour[i]) || !yearIn(P.year[i])) continue; - if (!piIn(P.Vtop[i], P.Vmax[i], P.Vreach[i])) continue; - if (!condPassPlayer(i)) continue; - out.push(i); - } + for (let i=0;iΔVMAX: reach − top

    b.appendChild(p); } b.addEventListener("click",()=>{ state.cls=cls; buildChips(); invalidate(); - buildSelRow(); tickOnce(); }); + buildSelRow(); retick(); }); host.appendChild(b); }; mk("ALL",-1,null); @@ -874,7 +875,13 @@

    ΔVMAX: reach − top

    const dt = new Date(Date.UTC(2001,0,1)+(d-1)*864e5); return MONTHS[dt.getUTCMonth()]+" "+String(dt.getUTCDate()).padStart(2,"0"); } -function selChanged(){ invalidate(); buildChips(); buildSelRow(); tickOnce(); } +// keep the current profile through any filter/parcel change that still +// contains it; resample only when it falls outside the new subset +function retick(){ + if (passPlayer(state.cur)){ drawScope(); updateReadout(); } + else tickOnce(); +} +function selChanged(){ invalidate(); buildChips(); buildSelRow(); retick(); } function buildSelRow(){ if (!DATA.map) return; const host = document.getElementById("selrow"); @@ -933,7 +940,7 @@

    ΔVMAX: reach − top

    b.setAttribute("aria-pressed", String(state.cond === id)); const t = document.createElement("span"); t.textContent = label; b.appendChild(t); b.addEventListener("click", ()=>{ state.cond = id; buildConds(); invalidate(); - buildChips(); buildSelRow(); tickOnce(); }); + buildChips(); buildSelRow(); retick(); }); host.appendChild(b); } } @@ -1013,7 +1020,7 @@

    ΔVMAX: reach − top

    state.parcel=b.dataset.parcel; state.cls=-1; state.trail=[]; document.querySelectorAll("[data-parcel]").forEach(x=> x.setAttribute("aria-pressed", String(x===b))); - buildChips(); invalidate(); buildSelRow(); drawScope(); tickOnce(); + buildChips(); invalidate(); buildSelRow(); drawScope(); retick(); }); }); document.getElementById("play").addEventListener("click",()=>{ From 11d51249a9d0fb3c6818a777c60dc858f55595db Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 23:00:14 +0200 Subject: [PATCH 19/20] Sounding Scope: split the dVMAX condition into signed extremes (+8 / -2) The single |dVMAX| > 1 m/s condition becomes two signed chips on the gap dv = VMAX(max) - VMAX(top): dv > +8 m/s (1,822 columns; the legacy clamp suppressing real PI) and dv < -2 m/s (71 columns; top exceeding max). gpi codes: 1 = top non-convergent, 2 = dv > 8, 3 = dv < -2. Up to 400 columns per extreme are force-included in the flip-book pool so both conditions animate. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 20 +++++++++++++++++--- era5_analysis/sounding_scope_template.html | 13 +++++++++---- 2 files changed, 26 insertions(+), 7 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index dfa2321..f0da802 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -90,6 +90,15 @@ def cls(pname, i): legfail_rows = np.where((PI["IFL"][:, 0] == 2) & (PI["IFL"][:, 1] == 1) & mA)[0] pool.update(legfail_rows.tolist()) print("legacy-failure columns force-included:", len(legfail_rows)) +# force flip-book coverage of the extreme convention gaps (capped) +with np.errstate(invalid="ignore"): + _dv = PI["VMAX"][:, 1] - PI["VMAX"][:, 0] +for _m in (np.isfinite(_dv) & (_dv > 8.0) & mA, + np.isfinite(_dv) & (_dv < -2.0) & mA): + _rows = np.where(_m)[0] + if len(_rows) > 400: + _rows = rng.choice(_rows, 400, replace=False) + pool.update(_rows.tolist()) for pname in "ABC": for t in tables[pname]: rows = pop[pname][allstrs[pname] == t] @@ -179,10 +188,15 @@ def cls(pname, i): V = PI["VMAX"][:, k] vq[tag] = np.where(np.isfinite(V), np.round(V * 10), -10).astype(" 1.0) -gpi_all = np.where(legf, 1, np.where(big, 2, 0)).astype(np.uint8) + dv_all = PI["VMAX"][:, 1] - PI["VMAX"][:, 0] + dv_hi = np.isfinite(dv_all) & (dv_all > 8.0) + dv_lo = np.isfinite(dv_all) & (dv_all < -2.0) +gpi_all = np.where(legf, 1, np.where(dv_hi, 2, + np.where(dv_lo, 3, 0))).astype(np.uint8) +print("dv>8:", int(dv_hi.sum()), " dv<-2:", int(dv_lo.sum())) # int16 columns first so every offset stays 2-byte aligned bincols = [ diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index d390d24..2ab8135 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -238,7 +238,8 @@

    ΔVMAX: reach − top

    // ("!=" at > 1 J/kg throughout) const CONDS = [["all profiles",0], ["0 \u2260 top \u2260 max",1], ["0 = top \u2260 max",2], ["reach \u2260 max",3], - ["|\u0394VMAX| > 1 m/s",4], ["top non-convergent",5]]; + ["\u0394VMAX > +8 m/s",4], ["\u0394VMAX < \u22122 m/s",6], + ["top non-convergent",5]]; const CONVC = {top:"--c5", max:"--c1", first:"--c2", reach:"--c4"}; // red aqua yellow violet const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; @@ -277,6 +278,7 @@

    ΔVMAX: reach − top

    function condPassMap(i){ if (state.cond === 0) return true; if (state.cond === 4) return DATA.map.gpi[i] === 2; + if (state.cond === 6) return DATA.map.gpi[i] === 3; if (state.cond === 5) return DATA.map.gpi[i] === 1; const g = DATA.map["g"+state.parcel][i]; // bit0: E_top = 0 while E_max > 0; bit1: |E_top-E_max| > 1 J/kg @@ -291,8 +293,11 @@

    ΔVMAX: reach − top

    if (state.cond === 1) return et > 0 && Math.abs(et - em) > 1; if (state.cond === 2) return et === 0 && Math.abs(et - em) > 1; if (state.cond === 3) return Math.abs(P["Ereach"+s][i] - em) > 1; + // signed gap: dv = VMAX(max) - VMAX(top) if (state.cond === 4) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && - Math.abs(P.Vtop[i] - P.Vmax[i]) > 1; + P.Vmax[i] - P.Vtop[i] > 8; + if (state.cond === 6) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && + P.Vmax[i] - P.Vtop[i] < -2; return P.legfail[i] === 1; } // skip: which dimension NOT to apply (crossfilter: a marginal shows the @@ -708,8 +713,8 @@

    ΔVMAX: reach − top

    else { og.beginPath(); og.arc(X(x), Y(d), 3.0, 0, 7); og.fill(); } } if (dense){ - // same data, second pass: |delta| > 1 m/s (the disagreement-chip - // threshold) drawn opaque so outliers survive the dense cloud + // same data, second pass: |delta| > 1 m/s drawn opaque so + // outliers survive the dense cloud (display emphasis only) og.globalAlpha = 0.45; for (const [x,d] of pts) if (Math.abs(d) > 1) og.fillRect(X(x)-1.25, Y(d)-1.25, 2.5, 2.5); From c11b5f2714ed67cc11b4fcd695dff197854f4c2f Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 23:02:43 +0200 Subject: [PATCH 20/20] Sounding Scope: live percentages on the condition chips Each condition chip now shows its share of the population passing all OTHER active filters (parcel, topology, marginals, dVMAX selection), computed in one full-table pass mirroring condPassMap, with adaptive precision so rare conditions (e.g. the 8 non-convergent columns, 0.0014%) stay visible. Shares refresh on every chip/marginal/parcel/ theme change. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 42 ++++++++++++++++++---- 1 file changed, 36 insertions(+), 6 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 2ab8135..7ae8193 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -312,7 +312,7 @@

    ΔVMAX: reach − top

    if (skip !== "year" && !yearIn(DATA.map.year[i])) return false; if (skip !== "pi" && !piIn(DATA.map.Vtop[i], DATA.map.Vmax[i], DATA.map.Vreach[i])) return false; - return condPassMap(i); + return skip === "cond" || condPassMap(i); } // ---------- pools ---------- @@ -821,8 +821,8 @@

    ΔVMAX: reach − top

    } b.appendChild(p); } - b.addEventListener("click",()=>{ state.cls=cls; buildChips(); invalidate(); - buildSelRow(); retick(); }); + b.addEventListener("click",()=>{ state.cls=cls; buildChips(); buildConds(); + invalidate(); buildSelRow(); retick(); }); host.appendChild(b); }; mk("ALL",-1,null); @@ -886,7 +886,7 @@

    ΔVMAX: reach − top

    if (passPlayer(state.cur)){ drawScope(); updateReadout(); } else tickOnce(); } -function selChanged(){ invalidate(); buildChips(); buildSelRow(); retick(); } +function selChanged(){ invalidate(); buildChips(); buildConds(); buildSelRow(); retick(); } function buildSelRow(){ if (!DATA.map) return; const host = document.getElementById("selrow"); @@ -936,14 +936,44 @@

    ΔVMAX: reach − top

    `${pctStr}% retained`; host.appendChild(c); } +// share of each condition within the population passing all OTHER filters +// (parcel, topology, marginals, dVMAX selection) -- one full-table pass, +// mirroring condPassMap exactly +function condShares(){ + const n = DATA.map.lat.length, gp = DATA.map.gpi; + const gv = DATA.map["g"+state.parcel]; + const out = {1:0, 2:0, 3:0, 4:0, 5:0, 6:0}; + let tot = 0; + for (let i=0;i= 0.1 ? p.toFixed(1) : p.toPrecision(2))+"%"; +} function buildConds(){ const host = document.getElementById("conds"); host.innerHTML = ""; + const cs = DATA.map ? condShares() : null; for (const [label, id] of CONDS){ const b = document.createElement("button"); b.className = "chip"; b.setAttribute("aria-pressed", String(state.cond === id)); const t = document.createElement("span"); t.textContent = label; b.appendChild(t); + if (cs && id !== 0){ + const p = document.createElement("span"); p.className = "pct"; + p.textContent = pctFmt(cs[0][id], cs[1]); + b.appendChild(p); + } b.addEventListener("click", ()=>{ state.cond = id; buildConds(); invalidate(); buildChips(); buildSelRow(); retick(); }); host.appendChild(b); @@ -1025,7 +1055,7 @@

    ΔVMAX: reach − top

    state.parcel=b.dataset.parcel; state.cls=-1; state.trail=[]; document.querySelectorAll("[data-parcel]").forEach(x=> x.setAttribute("aria-pressed", String(x===b))); - buildChips(); invalidate(); buildSelRow(); drawScope(); retick(); + buildChips(); buildConds(); invalidate(); buildSelRow(); drawScope(); retick(); }); }); document.getElementById("play").addEventListener("click",()=>{ @@ -1045,7 +1075,7 @@

    ΔVMAX: reach − top

    new MutationObserver(()=>{ invalidate(); drawScope(); buildChips(); }) .observe(document.documentElement,{attributes:true,attributeFilter:["data-theme"]}); matchMedia("(prefers-color-scheme: dark)").addEventListener("change", - ()=>{ invalidate(); drawScope(); buildChips(); }); + ()=>{ invalidate(); drawScope(); buildChips(); buildConds(); }); document.getElementById("ntc").textContent = DATA.npop.A.toLocaleString("en-US"); document.getElementById("nbc").textContent = DATA.npop.B.toLocaleString("en-US");
    @@ -149,7 +150,13 @@

    year

    the map selects a position (±1,500 km), the rings a day-of-year window (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the density under the other filters, with its own selection dashed. - Click the × chips or press Escape to clear. + Click the × chips or press Escape to clear. The condition chips restrict + everything to profiles where the LNB conventions disagree: T/M/F/R lanes on + the scope mark each convention's LNB (T = legacy topmost, M = max-work, + F = first crossing, R = lifted-ballistic); CAPE and potential intensity per + convention appear in the readout (PI computed at tcpyPI's own ptop = 50). + The eight real columns where the legacy convention fails to converge are + included — select "legacy non-convergent" to see them. @@ -164,6 +171,10 @@

    year

    selHour:null, // {h} with +/- HOUR_W hours (circular) selYear:null}; // {y} const RAD_KM = 1500, DOY_W = 15, HOUR_W = 3; +state.cond = 0; // 0 all | 1 clamp-flip | 2 |dE|>10 | 3 |dVMAX|>1 | 4 legacy IFL=2 +const CONDS = [["all profiles",0], ["E_top=0 < E_max",1], ["|E_top\u2212E_max| > 10 J/kg",2], + ["|\u0394VMAX| > 1 m/s",3], ["legacy non-convergent",4]]; +const CONVC = {top:"--c5", max:"--c1", first:"--c2", reach:"--c4"}; // red aqua yellow violet const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; if (reduced) state.playing = false; @@ -192,6 +203,22 @@

    year

    return Math.min(dh, 24-dh) <= HOUR_W; } function yearIn(y){ return !state.selYear || y === state.selYear.y; } +function condPassMap(i){ + if (state.cond === 0) return true; + if (state.cond === 3) return DATA.map.gpi[i] === 2; + if (state.cond === 4) return DATA.map.gpi[i] === 1; + const g = DATA.map["g"+state.parcel][i]; + return state.cond === 1 ? (g & 1) !== 0 : (g & 2) !== 0; +} +function condPassPlayer(i){ + if (state.cond === 0) return true; + const P = DATA.player, s = state.parcel; + if (state.cond === 1) return P["Etop"+s][i] === 0 && P["Emax"+s][i] > 0; + if (state.cond === 2) return Math.abs(P["Etop"+s][i] - P["Emax"+s][i]) > 10; + if (state.cond === 3) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && + Math.abs(P.Vtop[i] - P.Vmax[i]) > 1; + return P.legfail[i] === 1; +} // skip: which dimension NOT to apply (crossfilter: a marginal shows the // density under all the OTHER filters, with its own selection as an overlay) function passMap(i, skip){ @@ -202,7 +229,7 @@

    year

    if (skip !== "doy" && !doyIn(DATA.map.doy[i])) return false; if (skip !== "hour" && !hourIn(DATA.map.hour[i])) return false; if (skip !== "year" && !yearIn(DATA.map.year[i])) return false; - return true; + return condPassMap(i); } // ---------- pools ---------- @@ -214,6 +241,7 @@

    year

    if (state.cls >= 0 && cs[i] !== state.cls) continue; if (!posIn(P.lat[i], P.lon[i]) || !doyIn(P.doy[i]) || !hourIn(P.hour[i]) || !yearIn(P.year[i])) continue; + if (!condPassPlayer(i)) continue; out.push(i); } return out; @@ -230,7 +258,7 @@

    year

    // ---------- scope ---------- function drawScope(){ const [cv,g] = ctx2("scope"); - const W=cv.width, H=cv.height, padL=86, padR=26, padT=16, padB=52; + const W=cv.width, H=cv.height, padL=86, padR=130, padT=40, padB=52; g.clearRect(0,0,W,H); const [xlo,xhi] = DATA.xlims[state.parcel]; const xOf = v => padL + (v-xlo)/(xhi-xlo)*(W-padL-padR); @@ -272,13 +300,33 @@

    year

    }; state.trail.forEach((idx,k)=> drawCurve(idx, 0.05 + 0.10*k/Math.max(1,state.trail.length), 2)); if (state.cur>=0) drawCurve(state.cur, 1, 4.5); + // LNB gutter: one lane per convention; a dot at each convention's LNB + if (state.cur>=0){ + const s = state.parcel, i = state.cur, Pl = DATA.player; + const lanes = [["T","Ltop"], ["M","Lmax"], ["F","Lfirst"], ["R","Lreach"]]; + const gx0 = W - padR + 18, lane = 26; + g.font = "20px ui-monospace, Menlo, monospace"; g.textAlign = "center"; + lanes.forEach(([lab, key], k)=>{ + const x = gx0 + k*lane; + const col = cvar(CONVC[key.slice(1).replace("L","")] || "--ink2"); + g.fillStyle = cvar(CONVC[["top","max","first","reach"][k]]); + g.textBaseline = "bottom"; + g.fillText(lab, x, padT - 8); + g.strokeStyle = cvar("--grid"); g.lineWidth = 1.2; + g.beginPath(); g.moveTo(x, padT); g.lineTo(x, H-padB); g.stroke(); + const p = Pl[key + s][i]; + if (p > 0){ + g.beginPath(); g.arc(x, Y(p), 7, 0, 7); g.fill(); + } + }); + } } // ---------- map ---------- const MEXT = {lo:-180, hi:180, la:-80, lb:90}; let densCache = null, densKey = ""; function buildDensity(){ - const key = state.parcel+"|"+state.cls+"|"+cvar("--bg")+"|"+ + const key = state.parcel+"|"+state.cls+"|"+state.cond+"|"+cvar("--bg")+"|"+ JSON.stringify([state.selDoy, state.selHour, state.selYear]); if (key === densKey && densCache) return densCache; const bin = 2, nx = Math.ceil(360/bin), ny = Math.ceil((MEXT.lb-MEXT.la)/bin); @@ -486,15 +534,22 @@

    year

    const dt = new Date(Date.UTC(P.year[i],0,1) + (P.doy[i]-1)*864e5) .toISOString().slice(0,10); const et=P["Etop"+s][i], em=P["Emax"+s][i]; + const ef=P["Efirst"+s][i], er=P["Ereach"+s][i]; const flip = em>0 && et===0; const hh = String(P.hour[i]).padStart(2,"0"); + const L = k => { const v=P[k+s][i]; return v>0 ? v.toFixed(0) : "–"; }; + const vt=P.Vtop[i], vm=P.Vmax[i]; + const dpi = (vt>=0 && vm>=0) ? Math.abs(vt-vm) : 0; + const cc = k => cvar(CONVC[k]); el.innerHTML = `
    date${dt} ${hh}Z
    `+ - `
    pos${fmtLat(P.lat[i])} ${fmtLon(P.lon[i])}
    `+ - `
    SST${P.sst[i].toFixed(1)} °C
    `+ - `
    topology${P["topo"+s][i]}
    `+ - `
    E_max${em} J/kg
    `+ - `
    E_top${et} J/kg${flip?' ⚠':''}
    `; + `
    pos · SST${fmtLat(P.lat[i])} ${fmtLon(P.lon[i])} · ${P.sst[i].toFixed(1)}°C
    `+ + `
    topology${P["topo"+s][i] || "–"}
    `+ + `
    VMAX top/max${vt<0?(P.legfail[i]? "IFL=2 ⚠":"–"):vt.toFixed(1)} / ${vm<0?"–":vm.toFixed(1)} m/s
    `+ + `
    T top${et} J/kg @ ${L("Ltop")} hPa${flip?' ⚠':''}
    `+ + `
    M max${em} J/kg @ ${L("Lmax")} hPa
    `+ + `
    F first${ef} J/kg @ ${L("Lfirst")} hPa
    `+ + `
    R reach${er} J/kg @ ${L("Lreach")} hPa
    `; } // ---------- chips ---------- @@ -589,6 +644,19 @@

    year

    host.appendChild(c); } } +function buildConds(){ + const host = document.getElementById("conds"); + host.innerHTML = ""; + for (const [label, id] of CONDS){ + const b = document.createElement("button"); + b.className = "chip"; + b.setAttribute("aria-pressed", String(state.cond === id)); + const t = document.createElement("span"); t.textContent = label; b.appendChild(t); + b.addEventListener("click", ()=>{ state.cond = id; buildConds(); invalidate(); + buildSelRow(); tickOnce(); }); + host.appendChild(b); + } +} document.getElementById("map").addEventListener("click", e=>{ const [cv] = ctx2("map"); const [x,y] = evXY(cv, e); @@ -663,5 +731,5 @@

    year

    document.getElementById("ntc").textContent = DATA.npop.A.toLocaleString("en-US"); document.getElementById("nbc").textContent = DATA.npop.B.toLocaleString("en-US"); -buildChips(); tickOnce(); setTimer(); requestAnimationFrame(frame); +buildChips(); buildConds(); tickOnce(); setTimer(); requestAnimationFrame(frame); From 9a988de5f2b38d1d1a8ba7017f506f970537fb67 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:22:38 +0200 Subject: [PATCH 06/20] Ceiling to 30 hPa (minimal, zero-fail); refine conditions and readout The highest buoyancy crossing anywhere in the sample is 47.6 hPa, so retaining levels down to 30 hPa (ptop=20) observes every crossing with zero clipping and, unlike the 20 hPa ceiling, zero entropy-solver failures. Conditions are now top!=max and reach!=max (>1 J/kg) as primaries, keeping clamp-flip, |dVMAX|>1 m/s, and legacy-non-convergent as the mechanistically distinct cases; the first-crossing convention is dropped from the display (materially wrong too often to be interesting). Readout gives pos and SST their own cells with figure-space-padded coordinates so the layout no longer thrashes with coordinate width. Generated-with: Claude Fable 5 --- era5_analysis/README.md | 10 ++--- era5_analysis/figures/curves_parcel_A.png | Bin 801755 -> 862347 bytes era5_analysis/figures/curves_parcel_B.png | Bin 539378 -> 578918 bytes era5_analysis/figures/curves_parcel_C.png | Bin 376744 -> 400707 bytes era5_analysis/plot_curves.py | 4 +- era5_analysis/prep_artifact_data.py | 7 ++- era5_analysis/scan_final.py | 8 ++-- era5_analysis/sounding_scope_template.html | 49 ++++++++++++--------- 8 files changed, 45 insertions(+), 33 deletions(-) diff --git a/era5_analysis/README.md b/era5_analysis/README.md index 7f6f140..80e244b 100644 --- a/era5_analysis/README.md +++ b/era5_analysis/README.md @@ -68,11 +68,11 @@ and `pi_conv.py` cross-checks). ~20x more often than legacy. Where PI matters (SST >= 26), top vs max agree to p99 = 0.53 m/s. - Column ceiling: the topology chain (`scan_final.py` onward) retains - levels down to 20 hPa (ptop=10), a 2.5x pressure buffer below the highest - buoyancy crossing observed anywhere in the sample (49.6 hPa, saturated - core parcel; parcel B max 66.8, parcel A max 87.5). With that ceiling no - parcel is clipped (zero `+`-ending topologies); 21 of 569,478 parcel-A - columns fail the entropy solve in the 30-20 hPa range and are flagged. + levels down to 30 hPa (ptop=20) -- the minimal ceiling observing every + buoyancy crossing in the sample. Highest crossing: 47.6 hPa (saturated + core parcel, interpolated between the 50 and 30 hPa nodes; parcel B max + 65.0, parcel A max 87.5). At this ceiling zero profiles clip AND zero + entropy solves fail (retaining the 30-20 hPa layer caused 21 failures). tcpyPI's own ptop=50 convention (used by the pi()/CAPE scans above) truncates at 70 hPa and clips 1.24% of TC-relevant core parcels, whose true crossings sit at median 68.6 hPa. 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|E_reach-E_max| > 1 J/kg o = z[pname] m = popmask[pname] g = [] @@ -162,8 +163,10 @@ def cls(pname, i): if m[i]: if o[i, 2] == 0.0 and o[i, 3] > 0.0: v |= 1 - if abs(o[i, 2] - o[i, 3]) > 10.0: + if abs(o[i, 2] - o[i, 3]) > 1.0: v |= 2 + if abs(o[i, 5] - o[i, 3]) > 1.0: + v |= 4 g.append(v) mappts[f"g{pname}"] = g dv = np.abs(PI["VMAX"][msel, 0] - PI["VMAX"][msel, 1]) diff --git a/era5_analysis/scan_final.py b/era5_analysis/scan_final.py index bf50c67..e659535 100644 --- a/era5_analysis/scan_final.py +++ b/era5_analysis/scan_final.py @@ -30,9 +30,11 @@ from tcpyPI import constants, utilities from tcpyPI.pi import solve_temperature_from_entropy -PTOP = 10.0 # retain levels with P > 10 hPa -> top 20 hPa; highest observed -# buoyancy crossing in the 569k-column sample is 49.6 hPa (saturated core -# parcel), so the retained top sits a 2.5x pressure buffer below it +PTOP = 20.0 # retain levels with P > 20 hPa -> top 30 hPa: the minimal +# ceiling observing every buoyancy crossing in the 569k-column sample (highest: +# 47.6 hPa, saturated core parcel, interpolated between the 50 and 30 hPa +# nodes). At this ceiling zero profiles clip and zero entropy solves fail (the +# 30-20 hPa layer caused 21 failures when retained). RD = constants.RD EPS = constants.EPS CKCD = 0.9 diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index eea084a..4bb2965 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -151,9 +151,10 @@

    year

    (±15 days) or an hour-of-day window (±3 h UTC), the track a single year; each marginal keeps showing the density under the other filters, with its own selection dashed. Click the × chips or press Escape to clear. The condition chips restrict - everything to profiles where the LNB conventions disagree: T/M/F/R lanes on + everything to profiles where the LNB conventions disagree: T/M/R lanes on the scope mark each convention's LNB (T = legacy topmost, M = max-work, - F = first crossing, R = lifted-ballistic); CAPE and potential intensity per + R = lifted-ballistic; the first-crossing convention is omitted — it is + materially wrong too often to be interesting); CAPE and potential intensity per convention appear in the readout (PI computed at tcpyPI's own ptop = 50). The eight real columns where the legacy convention fails to converge are included — select "legacy non-convergent" to see them. @@ -171,9 +172,11 @@

    year

    selHour:null, // {h} with +/- HOUR_W hours (circular) selYear:null}; // {y} const RAD_KM = 1500, DOY_W = 15, HOUR_W = 3; -state.cond = 0; // 0 all | 1 clamp-flip | 2 |dE|>10 | 3 |dVMAX|>1 | 4 legacy IFL=2 -const CONDS = [["all profiles",0], ["E_top=0 < E_max",1], ["|E_top\u2212E_max| > 10 J/kg",2], - ["|\u0394VMAX| > 1 m/s",3], ["legacy non-convergent",4]]; +state.cond = 0; +// 0 all | 1 top!=max | 2 reach!=max | 3 clamp-flip | 4 |dVMAX|>1 | 5 legacy IFL=2 +const CONDS = [["all profiles",0], ["top \u2260 max",1], ["reach \u2260 max",2], + ["clamp flip (E_top=0 1 m/s",4], + ["legacy non-convergent",5]]; const CONVC = {top:"--c5", max:"--c1", first:"--c2", reach:"--c4"}; // red aqua yellow violet const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; @@ -205,17 +208,20 @@

    year

    function yearIn(y){ return !state.selYear || y === state.selYear.y; } function condPassMap(i){ if (state.cond === 0) return true; - if (state.cond === 3) return DATA.map.gpi[i] === 2; - if (state.cond === 4) return DATA.map.gpi[i] === 1; + if (state.cond === 4) return DATA.map.gpi[i] === 2; + if (state.cond === 5) return DATA.map.gpi[i] === 1; const g = DATA.map["g"+state.parcel][i]; - return state.cond === 1 ? (g & 1) !== 0 : (g & 2) !== 0; + if (state.cond === 1) return (g & 2) !== 0; // |top-max| > 1 J/kg + if (state.cond === 2) return (g & 4) !== 0; // |reach-max| > 1 J/kg + return (g & 1) !== 0; // clamp flip } function condPassPlayer(i){ if (state.cond === 0) return true; const P = DATA.player, s = state.parcel; - if (state.cond === 1) return P["Etop"+s][i] === 0 && P["Emax"+s][i] > 0; - if (state.cond === 2) return Math.abs(P["Etop"+s][i] - P["Emax"+s][i]) > 10; - if (state.cond === 3) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && + if (state.cond === 1) return Math.abs(P["Etop"+s][i] - P["Emax"+s][i]) > 1; + if (state.cond === 2) return Math.abs(P["Ereach"+s][i] - P["Emax"+s][i]) > 1; + if (state.cond === 3) return P["Etop"+s][i] === 0 && P["Emax"+s][i] > 0; + if (state.cond === 4) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && Math.abs(P.Vtop[i] - P.Vmax[i]) > 1; return P.legfail[i] === 1; } @@ -252,7 +258,7 @@

    year

    const cv = document.getElementById(id); return [cv, cv.getContext("2d")]; } -const yLnTop = Math.log(19), yLnBot = Math.log(1010); +const yLnTop = Math.log(28), yLnBot = Math.log(1010); function yOf(p, h, pad){ return pad + (Math.log(p)-yLnTop)/(yLnBot-yLnTop)*(h-2*pad); } // ---------- scope ---------- @@ -266,7 +272,7 @@

    year

    const Y = p => padT + (Math.log(p)-yLnTop)/(yLnBot-yLnTop)*(H-padT-padB); g.font = "22px ui-monospace, Menlo, monospace"; g.strokeStyle = cvar("--grid"); g.fillStyle = cvar("--ink2"); g.lineWidth = 1.6; - for (const p of [1000,850,700,500,400,300,200,150,100,70,50,30,20]){ + for (const p of [1000,850,700,500,400,300,200,150,100,70,50,30]){ const y = Y(p); g.beginPath(); g.moveTo(padL,y); g.lineTo(W-padR,y); g.stroke(); g.textAlign="right"; g.textBaseline="middle"; g.fillText(String(p), padL-10, y); @@ -303,13 +309,13 @@

    year

    // LNB gutter: one lane per convention; a dot at each convention's LNB if (state.cur>=0){ const s = state.parcel, i = state.cur, Pl = DATA.player; - const lanes = [["T","Ltop"], ["M","Lmax"], ["F","Lfirst"], ["R","Lreach"]]; - const gx0 = W - padR + 18, lane = 26; + const lanes = [["T","Ltop"], ["M","Lmax"], ["R","Lreach"]]; + const gx0 = W - padR + 24, lane = 34; g.font = "20px ui-monospace, Menlo, monospace"; g.textAlign = "center"; lanes.forEach(([lab, key], k)=>{ const x = gx0 + k*lane; const col = cvar(CONVC[key.slice(1).replace("L","")] || "--ink2"); - g.fillStyle = cvar(CONVC[["top","max","first","reach"][k]]); + g.fillStyle = cvar(CONVC[["top","max","reach"][k]]); g.textBaseline = "bottom"; g.fillText(lab, x, padT - 8); g.strokeStyle = cvar("--grid"); g.lineWidth = 1.2; @@ -525,8 +531,9 @@

    year

    } // ---------- readout ---------- -function fmtLat(v){ return Math.abs(v).toFixed(1)+"°"+(v>=0?"N":"S"); } -function fmtLon(v){ return Math.abs(v).toFixed(1)+"°"+(v>=0?"E":"W"); } +const FSP = "\u2007"; // figure space: digit-wide, keeps the layout stable +function fmtLat(v){ return Math.abs(v).toFixed(1).padStart(4,FSP)+"°"+(v>=0?"N":"S"); } +function fmtLon(v){ return Math.abs(v).toFixed(1).padStart(5,FSP)+"°"+(v>=0?"E":"W"); } function updateReadout(){ const el = document.getElementById("readout"); if (state.cur<0){ el.innerHTML=""; return; } @@ -534,7 +541,7 @@

    year

    const dt = new Date(Date.UTC(P.year[i],0,1) + (P.doy[i]-1)*864e5) .toISOString().slice(0,10); const et=P["Etop"+s][i], em=P["Emax"+s][i]; - const ef=P["Efirst"+s][i], er=P["Ereach"+s][i]; + const er=P["Ereach"+s][i]; const flip = em>0 && et===0; const hh = String(P.hour[i]).padStart(2,"0"); const L = k => { const v=P[k+s][i]; return v>0 ? v.toFixed(0) : "–"; }; @@ -543,12 +550,12 @@

    year

    const cc = k => cvar(CONVC[k]); el.innerHTML = `
    date${dt} ${hh}Z
    `+ - `
    pos · SST${fmtLat(P.lat[i])} ${fmtLon(P.lon[i])} · ${P.sst[i].toFixed(1)}°C
    `+ + `
    pos${fmtLat(P.lat[i])} ${fmtLon(P.lon[i])}
    `+ + `
    SST${P.sst[i].toFixed(1)} °C
    `+ `
    topology${P["topo"+s][i] || "–"}
    `+ `
    VMAX top/max${vt<0?(P.legfail[i]? "IFL=2 ⚠":"–"):vt.toFixed(1)} / ${vm<0?"–":vm.toFixed(1)} m/s
    `+ `
    T top${et} J/kg @ ${L("Ltop")} hPa${flip?' ⚠':''}
    `+ `
    M max${em} J/kg @ ${L("Lmax")} hPa
    `+ - `
    F first${ef} J/kg @ ${L("Lfirst")} hPa
    `+ `
    R reach${er} J/kg @ ${L("Lreach")} hPa
    `; } From cd867eeca247f412eac9cf80142c0e2401cbd001 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:28:51 +0200 Subject: [PATCH 07/20] Sounding Scope: live topology-chip percentages under active filters The chip row is itself a marginal: with any position/season/hour/year selection or disagreement condition active, each topology's share is recomputed from the 40k map layer under all the OTHER filters (its own selection excluded, crossfilter convention), so e.g. clicking the Gulf of Mexico in September immediately shows that region-season's topology mix. With no filters active the exact population shares are shown. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 31 +++++++++++++++++++--- 1 file changed, 27 insertions(+), 4 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 4bb2965..b00960c 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -230,7 +230,7 @@

    year

    function passMap(i, skip){ const v = DATA.map["c"+state.parcel][i]; if (v < 0) return false; - if (state.cls >= 0 && v !== state.cls) return false; + if (skip !== "cls" && state.cls >= 0 && v !== state.cls) return false; if (skip !== "pos" && !posIn(DATA.map.lat[i], DATA.map.lon[i])) return false; if (skip !== "doy" && !doyIn(DATA.map.doy[i])) return false; if (skip !== "hour" && !hourIn(DATA.map.hour[i])) return false; @@ -560,9 +560,27 @@

    year

    } // ---------- chips ---------- +function anyFilter(){ + return !!(state.selPos || state.selDoy || state.selHour || state.selYear) + || state.cond !== 0; +} +function chipShares(){ + // live topology distribution under all OTHER filters (crossfilter: the + // chip row is itself a marginal, so its own selection is not applied) + const cnt = new Float32Array(8); + let tot = 0; + const cs = DATA.map["c"+state.parcel]; + for (let i=0;i{ const b=document.createElement("button"); b.className="chip"; b.setAttribute("aria-pressed", String(state.cls===cls)); @@ -574,7 +592,12 @@

    year

    b.appendChild(t); if (share!=null){ const p=document.createElement("span"); p.className="pct"; - p.textContent=share.toFixed(1)+"%"; b.appendChild(p); + if (live){ + p.textContent = ltot ? (100*live[cls]/ltot).toFixed(1)+"%" : "\u2013"; + } else { + p.textContent = share.toFixed(1)+"%"; + } + b.appendChild(p); } b.addEventListener("click",()=>{ state.cls=cls; buildChips(); invalidate(); buildSelRow(); tickOnce(); }); @@ -620,7 +643,7 @@

    year

    const dt = new Date(Date.UTC(2001,0,1)+(d-1)*864e5); return MONTHS[dt.getUTCMonth()]+" "+String(dt.getUTCDate()).padStart(2,"0"); } -function selChanged(){ invalidate(); buildSelRow(); tickOnce(); } +function selChanged(){ invalidate(); buildChips(); buildSelRow(); tickOnce(); } function buildSelRow(){ const host = document.getElementById("selrow"); host.innerHTML = ""; @@ -660,7 +683,7 @@

    year

    b.setAttribute("aria-pressed", String(state.cond === id)); const t = document.createElement("span"); t.textContent = label; b.appendChild(t); b.addEventListener("click", ()=>{ state.cond = id; buildConds(); invalidate(); - buildSelRow(); tickOnce(); }); + buildChips(); buildSelRow(); tickOnce(); }); host.appendChild(b); } } From e837ab881ab9264b844a6eead9ef57f6ad5e6f28 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:30:58 +0200 Subject: [PATCH 08/20] Sounding Scope: adaptive topology chips Under active filters the topology chips re-sort by filtered frequency and empty classes are masked off (the currently selected class stays visible so it can be deselected); with no filters the canonical global-frequency order is shown. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index b00960c..a079c83 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -604,7 +604,16 @@

    year

    host.appendChild(b); }; mk("ALL",-1,null); - DATA.classes[state.parcel].forEach(([t,c,s],k)=> mk(t,k,s)); + // adaptive chip list: under active filters, sort by filtered frequency and + // mask off empty classes (the selected class stays visible so it can be + // deselected); otherwise the canonical global-frequency order + let items = DATA.classes[state.parcel].map(([t, c, s], k) => ({t, k, s})); + if (live){ + for (const it of items) it.n = live[it.k]; + items.sort((a, b) => b.n - a.n); + items = items.filter(it => it.n > 0 || state.cls === it.k); + } + items.forEach(it => mk(it.t, it.k, it.s)); } // ---------- engine ---------- From ae5e774d010c363b0b5bb647e526a4ecd6a29e2f Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:33:37 +0200 Subject: [PATCH 09/20] Sounding Scope: always-on matching counts with retained percentage The filter-status chip now shows in every state (not only with marginal selections active): flip-sample count, matching map points, and the retained share of the current parcel's population with adaptive precision (>= 0.1% one decimal, below that two significant figures, so e.g. the 8 legacy-failure columns read 0.020% instead of rounding to zero). Also fixes a latent guard bug where hour-only selections showed no count (selHour was missing from the visibility condition). Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 28 +++++++++++++++------- 1 file changed, 19 insertions(+), 9 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index a079c83..d34bdbd 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -75,7 +75,6 @@ font-family:ui-monospace,"SF Mono","Cascadia Code",Menlo,Consolas,monospace} canvas{display:block; width:100%; height:auto} #map,#ring,#hours,#years{cursor:crosshair} -.selrow:empty{display:none} .selrow .chip{border-style:dashed} .selrow .x{margin-left:4px; font-weight:700; opacity:.7} .selrow .cnt{color:var(--ink2)} @@ -227,7 +226,7 @@

    year

    } // skip: which dimension NOT to apply (crossfilter: a marginal shows the // density under all the OTHER filters, with its own selection as an overlay) -function passMap(i, skip){ +function passMap(i, skip=""){ const v = DATA.map["c"+state.parcel][i]; if (v < 0) return false; if (skip !== "cls" && state.cls >= 0 && v !== state.cls) return false; @@ -675,13 +674,24 @@

    year

    ()=> state.selHour = null); if (state.selYear) mk(`year ${state.selYear.y}`, ()=> state.selYear = null); - if (state.selPos || state.selDoy || state.selYear){ - const n = pool().length; - const c = document.createElement("span"); - c.className = "chip cnt mono"; - c.textContent = `${n} matching sample${n===1?"":"s"}`; - host.appendChild(c); + // matching counts are always shown: they reflect ALL active filters + // (parcel, topology, condition, and any marginal selections) + const n = pool().length; + let m = 0, tot = 0; + const csAll = DATA.map["c"+state.parcel]; + for (let i=0;i= 0) tot++; + if (passMap(i)) m++; } + // retained share of the parcel's population, with adaptive precision so + // tiny fractions stay visible (e.g. the 8 legacy failures ~ 0.020%) + const pct = tot ? 100*m/tot : 0; + const pctStr = pct === 0 ? "0" : (pct >= 0.1 ? pct.toFixed(1) : pct.toPrecision(2)); + const c = document.createElement("span"); + c.className = "chip cnt mono"; + c.textContent = `${n} flip sample${n===1?"":"s"} \u00b7 `+ + `${m.toLocaleString("en-US")} map pts \u00b7 ${pctStr}% retained`; + host.appendChild(c); } function buildConds(){ const host = document.getElementById("conds"); @@ -770,5 +780,5 @@

    year

    document.getElementById("ntc").textContent = DATA.npop.A.toLocaleString("en-US"); document.getElementById("nbc").textContent = DATA.npop.B.toLocaleString("en-US"); -buildChips(); buildConds(); tickOnce(); setTimer(); requestAnimationFrame(frame); +buildChips(); buildConds(); buildSelRow(); tickOnce(); setTimer(); requestAnimationFrame(frame); From 17c3bbf91c6164a4e7a20adab8a8382f15823112 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:47:55 +0200 Subject: [PATCH 10/20] Sounding Scope: split top!=max condition into zero and nonzero cases The single top!=max condition mixed two populations with different physics: genuine value disagreements (both conventions positive) and the zero-flips where legacy returns exactly 0 (deep-valley clamps plus launch-level surface slivers). Conditions are now 0!=top!=max and 0=top!=max (both at >1 J/kg), expressed from the existing bitmask client-side with no payload change. Generated-with: Claude Fable 5 --- era5_analysis/sounding_scope_template.html | 23 ++++++++++++---------- 1 file changed, 13 insertions(+), 10 deletions(-) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index d34bdbd..8ceda4b 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -172,10 +172,11 @@

    year

    selYear:null}; // {y} const RAD_KM = 1500, DOY_W = 15, HOUR_W = 3; state.cond = 0; -// 0 all | 1 top!=max | 2 reach!=max | 3 clamp-flip | 4 |dVMAX|>1 | 5 legacy IFL=2 -const CONDS = [["all profiles",0], ["top \u2260 max",1], ["reach \u2260 max",2], - ["clamp flip (E_top=0 1 m/s",4], - ["legacy non-convergent",5]]; +// 0 all | 1 0!=top!=max | 2 0=top!=max | 3 reach!=max | 4 |dVMAX|>1 | 5 legacy +// ("!=" at > 1 J/kg throughout) +const CONDS = [["all profiles",0], ["0 \u2260 top \u2260 max",1], + ["0 = top \u2260 max",2], ["reach \u2260 max",3], + ["|\u0394VMAX| > 1 m/s",4], ["legacy non-convergent",5]]; const CONVC = {top:"--c5", max:"--c1", first:"--c2", reach:"--c4"}; // red aqua yellow violet const reduced = matchMedia("(prefers-reduced-motion: reduce)").matches; @@ -210,16 +211,18 @@

    year

    if (state.cond === 4) return DATA.map.gpi[i] === 2; if (state.cond === 5) return DATA.map.gpi[i] === 1; const g = DATA.map["g"+state.parcel][i]; - if (state.cond === 1) return (g & 2) !== 0; // |top-max| > 1 J/kg - if (state.cond === 2) return (g & 4) !== 0; // |reach-max| > 1 J/kg - return (g & 1) !== 0; // clamp flip + // bit0: E_top = 0 while E_max > 0; bit1: |E_top-E_max| > 1 J/kg + if (state.cond === 1) return (g & 2) !== 0 && (g & 1) === 0; // 0 != top != max + if (state.cond === 2) return (g & 2) !== 0 && (g & 1) !== 0; // 0 = top != max + return (g & 4) !== 0; // reach != max } function condPassPlayer(i){ if (state.cond === 0) return true; const P = DATA.player, s = state.parcel; - if (state.cond === 1) return Math.abs(P["Etop"+s][i] - P["Emax"+s][i]) > 1; - if (state.cond === 2) return Math.abs(P["Ereach"+s][i] - P["Emax"+s][i]) > 1; - if (state.cond === 3) return P["Etop"+s][i] === 0 && P["Emax"+s][i] > 0; + const et = P["Etop"+s][i], em = P["Emax"+s][i]; + if (state.cond === 1) return et > 0 && Math.abs(et - em) > 1; + if (state.cond === 2) return et === 0 && Math.abs(et - em) > 1; + if (state.cond === 3) return Math.abs(P["Ereach"+s][i] - em) > 1; if (state.cond === 4) return P.Vtop[i] >= 0 && P.Vmax[i] >= 0 && Math.abs(P.Vtop[i] - P.Vmax[i]) > 1; return P.legfail[i] === 1; From 1ca4eb311302417b492814136c21ef6703ed1cb0 Mon Sep 17 00:00:00 2001 From: Ben Mares Date: Sun, 19 Jul 2026 17:53:51 +0200 Subject: [PATCH 11/20] Sounding Scope: PI-by-convention scatter with diagonal reference New panel: scatter of VMAX under the legacy topmost-LNB convention (x) against max-work and lifted-ballistic (y, aqua/violet), over every map point passing the full crossfilter, with a light dashed identity diagonal, cached offscreen and invalidated with the other densities. The current flipbook profile is highlighted with rings per convention. Map layer payload gains Vtop/Vmax/Vreach. Generated-with: Claude Fable 5 --- era5_analysis/prep_artifact_data.py | 5 ++ era5_analysis/sounding_scope_template.html | 82 +++++++++++++++++++++- 2 files changed, 85 insertions(+), 2 deletions(-) diff --git a/era5_analysis/prep_artifact_data.py b/era5_analysis/prep_artifact_data.py index c4f4ad7..caa6a99 100644 --- a/era5_analysis/prep_artifact_data.py +++ b/era5_analysis/prep_artifact_data.py @@ -169,6 +169,11 @@ def cls(pname, i): v |= 4 g.append(v) mappts[f"g{pname}"] = g +# VMAX per convention for the scatter (-1 = missing/non-convergent) +for k, tag in enumerate(("top", "max", "reach")): + kk = {"top": 0, "max": 1, "reach": 3}[tag] + mappts[f"V{tag}"] = [round(float(PI["VMAX"][i, kk]), 1) + if np.isfinite(PI["VMAX"][i, kk]) else -1 for i in msel] dv = np.abs(PI["VMAX"][msel, 0] - PI["VMAX"][msel, 1]) mappts["gpi"] = [(1 if (PI["IFL"][i, 0] == 2 and PI["IFL"][i, 1] == 1) else (2 if (np.isfinite(dvv) and dvv > 1.0) else 0)) diff --git a/era5_analysis/sounding_scope_template.html b/era5_analysis/sounding_scope_template.html index 8ceda4b..8ff04c1 100644 --- a/era5_analysis/sounding_scope_template.html +++ b/era5_analysis/sounding_scope_template.html @@ -75,6 +75,7 @@ font-family:ui-monospace,"SF Mono","Cascadia Code",Menlo,Consolas,monospace} canvas{display:block; width:100%; height:auto} #map,#ring,#hours,#years{cursor:crosshair} +#piscatter{cursor:default} .selrow .chip{border-style:dashed} .selrow .x{margin-left:4px; font-weight:700; opacity:.7} .selrow .cnt{color:var(--ink2)} @@ -133,6 +134,10 @@

    year

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