import { VecN } from '@holotope/core';
import { HyperboxSupportShape4 } from './hyperbox4.js';
export type HyperboxSatFeatureClass4 = 'facet-a' | 'facet-b' | 'edge-a-face-b' | 'face-a-edge-b';
export interface HyperboxSatAxisSource4 {
    readonly featureClass: HyperboxSatFeatureClass4;
    /** Local coordinate-axis indices spanning A's contributing feature. */
    readonly axesA: readonly number[];
    /** Local coordinate-axis indices spanning B's contributing feature. */
    readonly axesB: readonly number[];
}
export interface HyperboxSatOptions4 {
    /** Zero band for a dual 3-wedge before normalization. Default 1e-12. */
    axisEpsilon?: number;
    /** Absolute parallel-direction band used after normalization. Default 1e-14. */
    duplicateEpsilon?: number;
    /** Separation/contact band in world units. Default 1e-12. */
    contactTolerance?: number;
}
export interface HyperboxSatDiagnostics4 {
    /** Always 56: 8 facet normals plus 24+24 cross-family constructions. */
    readonly axesGenerated: number;
    readonly axesTested: number;
    readonly degenerateAxesSkipped: number;
    readonly duplicateAxesSkipped: number;
}
export interface HyperboxSatResult4 {
    readonly status: 'separated' | 'touching' | 'overlapping';
    readonly intersects: boolean;
    /** Winning normalized axis, oriented from B toward A / A's escape direction. */
    readonly axis: VecN;
    readonly source: HyperboxSatAxisSource4;
    /** Positive projected gap on the winning separating axis, else zero. */
    readonly separation: number;
    /** Minimum translation of A along `axis` for overlap, else zero. */
    readonly penetrationDepth: number;
    /** Positive for separation, negative for overlap, zero for touching. */
    readonly signedAxisDistance: number;
    readonly intervalA: readonly [number, number];
    readonly intervalB: readonly [number, number];
    readonly diagnostics: HyperboxSatDiagnostics4;
}
/**
 * Complete separating-axis test for two full-dimensional oriented boxes in R4.
 * It constructs all 56 feature-family axes before removing zero/parallel copies.
 */
export declare function hyperboxSat4(boxA: HyperboxSupportShape4, boxB: HyperboxSupportShape4, options?: HyperboxSatOptions4): HyperboxSatResult4;
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