import { Matrix4, Vector4 } from 'three';
import { type HyperplaneSlice4, type TransformN } from '@holotope/core';
/**
 * Writes a 4D rigid transform into GPU-native types: the SO(4) rotation is
 * a linear map on ℝ⁴, so it fits a mat4 exactly (no homogeneous trick
 * needed — this is the happy coincidence of the n=4 case), and the
 * translation is a plain vec4.
 *
 * MatN stores row-major; `Matrix4.set` takes row-major arguments, so the
 * data passes through unchanged into three's column-major storage.
 */
export declare function transformToGpuUniforms(transform: TransformN, outRotation: Matrix4, outTranslation: Vector4): void;
/**
 * Writes a hyperplane's full orthonormal frame into one mat4: rows 0–2 are
 * the in-plane display basis, row 3 is the normal. `frame * p` then yields
 * the three slice-frame coordinates in xyz and the ⟨normal, p⟩ dot product
 * in w — one matrix multiply gives both the display position and the
 * signed distance (after subtracting the offset).
 */
export declare function sliceToGpuUniforms(slice: HyperplaneSlice4, outFrame: Matrix4): void;
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