import { type ExactValue } from '../coxeter/exact.js';
import { ModelSet, type ExactHalfspace, type ModelPoint, type WindowBoundaryPolicy } from './model-set.js';
export type AKNCoefficients = readonly [bigint, bigint, bigint, bigint, bigint, bigint];
export type AKNPhasonOffset = readonly [ExactValue, ExactValue, ExactValue];
export interface AKNModelSetOptions {
    boundaryPolicy?: WindowBoundaryPolicy;
    /** Exact internal translation in seventh-coordinate units. */
    phasonOffsetSevenths?: AKNPhasonOffset;
}
/**
 * Thirty exact supporting halfspaces of the projected six-cube. Each pair
 * of the six generator zones supplies one rhombic face pair.
 */
export declare function aknWindowHalfspaces(): readonly ExactHalfspace[];
/**
 * Primitive six-dimensional Ammann–Kramer–Neri icosahedral model set.
 * The fully symmetric centered cut is singular, so its canonical default
 * explicitly includes the closed triacontahedral boundary.
 */
export declare function createAKNModelSet(options?: WindowBoundaryPolicy | AKNModelSetOptions): ModelSet;
/** 120-degree coordinate cycle, an exact icosahedral threefold symmetry. */
export declare function aknRotate3([n0, n1, n2, n3, n4, n5]: AKNCoefficients): AKNCoefficients;
/** 72-degree rotation about one golden axis, as a signed provenance permutation. */
export declare function aknRotate5([n0, n1, n2, n3, n4, n5]: AKNCoefficients): AKNCoefficients;
export interface AKNPatchOptions {
    /** Inclusive coefficient radius; 2 means 5^6 candidates. Default 2. */
    coefficientRadius?: number;
    /** Radial crop in the unnormalized golden-axis coordinates. Default 6. */
    physicalRadius?: number;
    /** Exact internal translation in seventh-coordinate units. */
    phasonOffsetSevenths?: AKNPhasonOffset;
    boundaryPolicy?: WindowBoundaryPolicy;
}
export interface AKNPatch {
    readonly points: readonly ModelPoint[];
    readonly edges: Uint32Array;
    readonly boundaryCount: number;
    readonly candidateCount: number;
}
/**
 * A finite radial patch of the AKN vertex set and its six edge directions.
 *
 * @param options - Coefficient bound, physical crop, phason, and boundary policy.
 */
export declare function aknPatch(options?: AKNPatchOptions): AKNPatch;
/** Natural edge length in the exact golden-axis coordinates. */
export declare const aknEdgeLength: number;
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