import { CellComplex, type CellGroup } from '@holotope/core';
import { SimplexConstitutiveFamilyN, type SimplexConstitutiveFamilyElementContextN, type SimplexConstitutiveFamilyElementEvaluationN, type SimplexConstitutiveFamilyElementN, type SimplexConstitutiveFamilyEvaluationN, type SimplexConstitutiveFamilyHessianBlockN, type SimplexConstitutiveFamilyHessianVectorEvaluationN, type SimplexConstitutiveFamilyMaterialN } from './simplex-constitutive-family.js';
import { type SimplexStVenantKirchhoffEvaluationN, type SimplexStVenantKirchhoffMaterialN } from './simplex-stvk-material.js';
import { type XpbdConservativeHessianBlockN, type XpbdConservativeHessianBlockProviderN, type XpbdConservativeHessianVectorEvaluationN, type XpbdConservativeHessianVectorProviderN, type XpbdParticleDirectionQueryN } from './xpbd-incremental-potential-analytic-curvature.js';
import { XpbdParticleN, XpbdWorldN, type XpbdConservativeForceProviderN, type XpbdParticlePositionQueryN } from './xpbd-world.js';
export interface SimplexStVenantKirchhoffFamilyElementContextN extends SimplexConstitutiveFamilyElementContextN {
}
export type SimplexStVenantKirchhoffFamilyMaterialN = SimplexConstitutiveFamilyMaterialN<SimplexStVenantKirchhoffMaterialN>;
export interface CompileSimplexStVenantKirchhoffFamilyNOptions {
    readonly id: string;
    readonly source: CellComplex;
    readonly simplexGroup: CellGroup;
    /** One live particle per source vertex, in source-vertex order. */
    readonly particles: readonly XpbdParticleN[];
    readonly material: SimplexStVenantKirchhoffFamilyMaterialN;
}
export interface SimplexStVenantKirchhoffFamilyElementN extends SimplexConstitutiveFamilyElementN<SimplexStVenantKirchhoffMaterialN> {
}
export interface SimplexStVenantKirchhoffFamilyElementEvaluationN extends SimplexConstitutiveFamilyElementEvaluationN<SimplexStVenantKirchhoffMaterialN, SimplexStVenantKirchhoffEvaluationN> {
}
export interface SimplexStVenantKirchhoffFamilyEvaluationN extends SimplexConstitutiveFamilyEvaluationN<SimplexStVenantKirchhoffMaterialN, SimplexStVenantKirchhoffEvaluationN> {
}
/** Exact assembled StVK potential curvature in family particle order. */
export interface SimplexStVenantKirchhoffFamilyHessianVectorEvaluationN extends SimplexConstitutiveFamilyHessianVectorEvaluationN<SimplexStVenantKirchhoffMaterialN, SimplexStVenantKirchhoffEvaluationN> {
    /** Stable StVK law identity retained by the compatibility wrapper. */
    readonly lawId: string;
}
/** Compatibility wrapper for the source-identified StVK constitutive family. */
export declare class SimplexStVenantKirchhoffFamilyN implements XpbdConservativeForceProviderN, XpbdConservativeHessianVectorProviderN, XpbdConservativeHessianBlockProviderN {
    readonly constitutiveFamily: SimplexConstitutiveFamilyN<SimplexStVenantKirchhoffMaterialN, SimplexStVenantKirchhoffEvaluationN>;
    readonly id: string;
    readonly dimension: number;
    readonly source: CellComplex;
    readonly sourceSimplexGroup: CellGroup;
    readonly particles: readonly XpbdParticleN[];
    readonly elements: readonly SimplexStVenantKirchhoffFamilyElementN[];
    readonly potentialHessianBlocks: readonly SimplexConstitutiveFamilyHessianBlockN<SimplexStVenantKirchhoffMaterialN>[];
    private attachedWorld;
    private constructor();
    static compile(options: CompileSimplexStVenantKirchhoffFamilyNOptions): SimplexStVenantKirchhoffFamilyN;
    evaluate(): SimplexStVenantKirchhoffFamilyEvaluationN;
    evaluateAt(positionOf: XpbdParticlePositionQueryN): SimplexStVenantKirchhoffFamilyEvaluationN;
    /** Evaluates exact StVK potential curvature without mutating live particles. */
    evaluatePotentialHessianVectorAt(positionOf: XpbdParticlePositionQueryN, directionOf: XpbdParticleDirectionQueryN): SimplexStVenantKirchhoffFamilyHessianVectorEvaluationN;
    /** Evaluates one exact source-simplex StVK Hessian block. */
    evaluatePotentialHessianBlockVectorAt(block: XpbdConservativeHessianBlockN, positionOf: XpbdParticlePositionQueryN, directionOf: XpbdParticleDirectionQueryN): XpbdConservativeHessianVectorEvaluationN;
    /** Registers this compatibility provider; particles must already belong to the world. */
    addToWorld(world: XpbdWorldN): XpbdWorldN;
}
/** Compiles one explicitly selected source simplex family into StVK elements. */
export declare function compileSimplexStVenantKirchhoffFamilyN(options: CompileSimplexStVenantKirchhoffFamilyNOptions): SimplexStVenantKirchhoffFamilyN;
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