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Align constellation art with mirrored sky charts

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vini 2026-07-19 14:35:51 -03:00
parent 4e01c768c9
commit 6843e1fc33
1 changed files with 21 additions and 6 deletions
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27
plugin/contents/ui/dancer.html
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@ -1470,20 +1470,35 @@ function constellationArtTransform(source, target) {
.map(v => v / source.length);
const qc = target.reduce((p, v) => [p[0] + v.x, p[1] + v.y], [0, 0])
.map(v => v / target.length);
let dot = 0, cross = 0, energy = 0;
let dot = 0, cross = 0, mirrorA = 0, mirrorB = 0, energy = 0;
for (let i = 0; i < source.length; i++) {
const px = source[i][0] - pc[0], py = source[i][1] - pc[1];
const qx = target[i].x - qc[0], qy = target[i].y - qc[1];
dot += px * qx + py * qy;
cross += px * qy - py * qx;
mirrorA += px * qx - py * qy;
mirrorB += py * qx + px * qy;
energy += px * px + py * py;
}
if (energy < 1e-6) return null;
const a = dot / energy;
const b = cross / energy;
const e = qc[0] - a * pc[0] + b * pc[1];
const f = qc[1] - b * pc[0] - a * pc[1];
return [a, b, -b, a, e, f];
const candidate = (a, b, c, d) => {
const e = qc[0] - a * pc[0] - c * pc[1];
const f = qc[1] - b * pc[0] - d * pc[1];
const matrix = [a, b, c, d, e, f];
const error = source.reduce((sum, p, i) => {
const dx = a * p[0] + c * p[1] + e - target[i].x;
const dy = b * p[0] + d * p[1] + f - target[i].y;
return sum + dx * dx + dy * dy;
}, 0);
return { matrix, error };
};
const rotate = candidate(dot / energy, cross / energy,
-cross / energy, dot / energy);
/* Ao observar a esfera por dentro, várias cartas precisam inverter a
orientação leste/oeste. Esta alternativa inclui a reflexão sem shear. */
const reflect = candidate(mirrorA / energy, mirrorB / energy,
mirrorB / energy, -mirrorA / energy);
return (reflect.error < rotate.error ? reflect : rotate).matrix;
}
function drawConstellationArt(c, constellation, lst, W, horizonPx, previewProjector) {