gyrovector/dist/mobius.js

Gyrovector classes for hyperbolic, Euclidean, and spherical geometries

"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.mobiusMult = exports.mobiusAdd = void 0;
const mobiusAdd = (u, v, curvature) => {
    const u2kDotV = 2 * curvature.value * u.dot(v);
    const uMagSq = u.dot(u);
    const vMagSq = v.dot(v);
    const lhs = u.mult(1 - u2kDotV - (curvature.value * vMagSq));
    const rhs = v.mult(1 + (curvature.value * uMagSq));
    const top = lhs.add(rhs);
    const bottom = 1 - u2kDotV + (curvature.value * curvature.value * uMagSq * vMagSq);
    const result = top.mult(1 / bottom);
    // console.log({ u, v, lhs, rhs, bottom, result });
    return result;
};
exports.mobiusAdd = mobiusAdd;
const mobiusMult = (c, u, curvature) => {
    if (c === 0 || u.magSq() === 0) {
        return u.mult(0);
    }
    const magnitude = u.mag();
    const normalized = u.mult(1 / magnitude);
    const result = normalized.mult(curvature.tan(c * curvature.atan(magnitude)));
    return result;
};
exports.mobiusMult = mobiusMult;
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