import type { Euler, EulerOrder, Mat3Like, Quat, QuatLike } from './types';
export type { Euler, EulerOrder };
/** Create an Euler, defaulting to (0, 0, 0, 'XYZ'). */
export declare function create(): Euler;
/** Allocate a new Euler copy. */
export declare function clone(a: Euler): Euler;
/** out.x/y/z/order = inputs; returns out (in-place). */
export declare function set(out: Euler, x: number, y: number, z: number, order: EulerOrder): Euler;
/**
 * out (Quat) = quaternion from euler. Returns out.
 *
 * Routes directly to quat.fromEuler (D-P2 + 6-order coverage already implemented inside quat).
 *
 * @example
 * ```ts
 * euler.toQuat(quatBuf, eulerInstance);
 * ```
 */
export declare function toQuat(out: Quat, e: Euler): Quat;
/**
 * out (Euler) = euler angles from quaternion in given order. Returns out.
 *
 * Implementation path: quat → 3x3 column-major rotation matrix → fromRotationMatrix(order).
 * This concentrates the 6-order formulas in fromRotationMatrix and avoids dual maintenance.
 *
 * @degrade gimbal lock (pitch ≈ ±π/2, sin/cos critical) → set yaw to 0 and let roll absorb the
 *          full rotation (registry #16; same equivalent-branch semantics as Three.js; no throw).
 *
 * @example
 * ```ts
 * euler.fromQuat(out, q, 'XYZ');
 * ```
 */
export declare function fromQuat(out: Euler, q: QuatLike, order: EulerOrder): Euler;
/**
 * out (Euler) = euler from a 3x3 rotation matrix m (column-major, length 9) in `order`. Returns out.
 *
 * Uses the Three.js Euler.setFromRotationMatrix formulas (intrinsic rotation + Hamilton convention).
 * Each of the 6 orders has an analytic formula; near gimbal-lock (middle axis sin/cos near ±1)
 * an equivalent branch is selected.
 *
 * @degrade gimbal lock → middle axis is fixed at ±π/2; the remaining two axes degenerate
 * (one is set to 0; the other absorbs the rotation).
 *
 * @example
 * ```ts
 * euler.fromRotationMatrix(out, mat3InstanceColumnMajor, 'XYZ');
 * ```
 */
export declare function fromRotationMatrix(out: Euler, m: Mat3Like, order: EulerOrder): Euler;
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