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maps: anchor orientation geographically (West->west, African-Islamic->south) on every map

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One shared orient_geographic() helper folds axis signs into the coords (value maps) or into Vt
(ipsative PCA, so dots/haze/steer/compass all inherit one flip). Replaces the WVS-only invert_x hack;
every map now reads left/right the same way. Regenerate instrument showcase maps.

Co-Authored-By: Claudypoo <288921227+claudypoo@users.noreply.github.com>
This commit is contained in:
wassname
2026-07-05 19:30:44 +08:00
co-authored by Claudypoo
parent 8aa1e11e44
commit 541434b80f
19 changed files with 32444 additions and 32379 deletions
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scripts/wvs_map.py
+6 -5
View File
@@ -298,13 +298,14 @@ def main() -> None:
def _ver(k: str) -> list[float]:
return [float(n) for n in re.findall(r"\d+(?:\.\d+)?", k)]
model_labels = {max(ks, key=_ver): max(ks, key=_ver).replace("claude-", "") for ks in fams.values()}
# Flip X so Self-expression is on the LEFT and Survival on the RIGHT (invert_x). We are building a
# better map than the Economist's, not xeroxing it, and this puts the cultural "West" on the left.
# poles are (x_left, x_right, y_bottom, y_top) as DRAWN, so the x pair is swapped to match.
# Poles in NATURAL data order (x_neg, x_pos, y_neg, y_pos): raw X is high on Self-expression, raw Y
# high on Secular-Rational. plot_value_map's orient_geographic then flips X so the cultural West
# lands in the west (Self-expression left) and confirms African-Islamic sits south -- the same
# orientation every other map now uses, so we build a better map than the Economist's, consistently.
fig = maps.plot_value_map(
"WVS Inglehart-Welzel", countries, P,
("Self-expression", "Survival", "Traditional", "Secular-Rational"),
models=plot_models, model_labels=model_labels, emphasize=emph, invert_x=True)
("Survival", "Self-expression", "Traditional", "Secular-Rational"),
models=plot_models, model_labels=model_labels, emphasize=emph)
fig.savefig(args.out, dpi=200, bbox_inches="tight")
logger.info(f"wrote {args.out}")
src/tinymfv/maps.py
+48 -4
View File
@@ -153,6 +153,28 @@ def outlying_countries(P: np.ndarray, countries: list[str], n: int = 4) -> set[s
return {countries[int(np.argmax(Pc[:, 0] * dx + Pc[:, 1] * dy))] for dx, dy in dirs}
def orient_geographic(P: np.ndarray, countries: list[str],
zones: dict[str, list[str]] | None) -> tuple[float, float]:
"""Per-axis sign (+1 / -1) that puts the cultural West to the WEST (small x, left) and the
African-Islamic global South to the SOUTH (small y, bottom), so every map shares one orientation
and a reader never re-learns left/right (the Economist/WVS convention). Anchors on each zone's
country-mean centroid vs the map centroid; a missing zone leaves that axis unflipped. The two
anchors pin two different axes, so they don't fight. -- authored by Claude"""
if not zones:
return 1.0, 1.0
cidx = {c: i for i, c in enumerate(countries)}
ctr = P.mean(0)
def centroid(zname: str):
idx = [cidx[c] for c in zones.get(zname, []) if c in cidx]
return P[idx].mean(0) if idx else None
west, south = centroid("West"), centroid("African-Islamic")
sx = -1.0 if (west is not None and west[0] > ctr[0]) else 1.0
sy = -1.0 if (south is not None and south[1] > ctr[1]) else 1.0
return sx, sy
def _map_annotations(P: np.ndarray, countries: list[str], zones_all: dict[str, list[str]] | None,
emphasize: set[str] | None, grey: str):
"""Shared map policy for plot_value_map + plot_ipsative_pca -- one copy so the two renderers can't
@@ -265,7 +287,7 @@ def plot_value_map(display: str, countries: list[str], P: np.ndarray,
poles: tuple[str, str, str, str], *, models: dict[str, tuple[float, float]] | None = None,
model_labels: dict[str, str] | None = None,
steer: dict[str, tuple[float, float, str]] | None = None,
emphasize: set[str] | None = None, invert_x: bool = False,
emphasize: set[str] | None = None,
title: str | None = None, note: str | None = None):
"""The interpretable "4-value map": two NAMED axes with four pole signposts through the human
MEDIAN crosshair, Economist-style zone hulls (the 4 most-separate zones), zone-coloured dots, and
@@ -284,6 +306,22 @@ def plot_value_map(display: str, countries: list[str], P: np.ndarray,
from .zones import zones_for
zones_all, emph = zones_for(countries)
emph = (emphasize or set()) | emph
# Anchor orientation geographically (West -> west, African-Islamic -> south) so every map reads the
# same way. Flip the coords and swap the pole labels for any flipped axis; models/steer live in the
# same space, so flip them too. Reflection leaves zone selection + corner outliers unchanged.
P = np.asarray(P, float).copy()
sgx, sgy = orient_geographic(P, countries, zones_all)
xn, xp, yn, yp = poles
if sgx < 0:
P[:, 0] *= -1; xn, xp = xp, xn
if sgy < 0:
P[:, 1] *= -1; yn, yp = yp, yn
poles = (xn, xp, yn, yp)
flip = lambda t: (t[0] * sgx, t[1] * sgy, *t[2:])
if models:
models = {k: flip(v) for k, v in models.items()}
if steer:
steer = {k: flip(v) for k, v in steer.items()}
zones, dot_cols, label_set = _map_annotations(P, countries, zones_all, emph, "#888888")
med_x, med_y = float(np.median(P[:, 0])), float(np.median(P[:, 1]))
@@ -330,9 +368,9 @@ def plot_value_map(display: str, countries: list[str], P: np.ndarray,
obs_x.append(bx); obs_y.append(by)
ax.margins(0.17) # roomy edges: the pole signposts sit in the inner
if invert_x: # margin and edge labels (Serbia, Adaptive) need to fit; e.g. Self-expression on the LEFT. Flip BEFORE
ax.invert_xaxis() # placement so the pixel-space allocator sees the
ax.autoscale(False) # final orientation (else every label mirrors left).
ax.autoscale(False) # margin and edge labels (Serbia, Adaptive) need to fit.
# Orientation is already baked into the coords (orient_geographic above), so the pixel-space label
# allocator sees the final left/right; no ax.invert_xaxis() that would mirror every placed label.
# ONE placement pass for everything (see labelplace.allocate_labels). Each zone name is a REGION
# label whose candidate anchors are its whole densified hull perimeter -- so it seats itself in the
# emptiest open air outside the hull, no white box, no leader. Country/model/steer names are MARKER
@@ -546,6 +584,12 @@ def plot_ipsative_pca(instr: Instrument, dims: list[str], countries: list[str],
Figure."""
_, Vt, var, mu, Pc = ipsative_pca(M) # fit on country means: between-country axes
P = (M @ Pc - mu) @ Vt[:2].T
# Anchor orientation geographically (West -> west, African-Islamic -> south) by folding the axis
# signs into Vt itself, so EVERY downstream projection (dots, haze, steer path, compass loadings,
# axis gloss) inherits the flip from one place and cannot mirror-diverge. -- authored by Claude
sgx, sgy = orient_geographic(P, countries, zones)
Vt = Vt.copy(); Vt[0] *= sgx; Vt[1] *= sgy
P = (M @ Pc - mu) @ Vt[:2].T
cloud = haze if haze is not None else respondents # what we scatter + crop to (fit is separate)
def proj(v):