fignumbers/dist/multidimensional-fignumbers/strategies/KDimensionalCenteredHyperTetrahedronGenerator.js

A comprehensive TypeScript library for generating figurate numbers across multiple dimensions

import { binomialCoeff } from "../utils/helpersMultidimensionalFigNumbers.js";
const helperCenteredHyperTetrahedron = (k, n) => {
    if (n === 1n)
        return 1n;
    if (n === 2n)
        return k + 1n;
    let tau = 0n;
    for (let i = 0n; i <= k - 1n; i++) {
        tau += binomialCoeff(k + 1n, k - i) * binomialCoeff(n - 2n, i);
    }
    return tau;
};
const accHelperCenteredHyperTetrahedron = (k, n) => {
    let acc = 0n;
    for (let j = 1n; j <= n; j++) {
        acc += helperCenteredHyperTetrahedron(k, j);
    }
    return acc;
};
export class KDimensionalCenteredHyperTetrahedronGenerator {
    *generate({ step = 1n, k = 5n }) {
        let delta = 1n;
        while (true) {
            yield accHelperCenteredHyperTetrahedron(k, delta);
            delta += step;
        }
    }
}
export class KDimensionalCenteredHyperTetrahedronSpecificGenerator {
    constructor(k) {
        this.baseGenerator = new KDimensionalCenteredHyperTetrahedronGenerator();
        this.k = k;
    }
    *generate({ step = 1n }) {
        return yield* this.baseGenerator.generate({ step, k: this.k });
    }
}
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