/**
 * Math / Aggregate Functions — Native RuntimeValue implementation.
 */
import type { RuntimeValue } from "../runtime/values.js";
export type NativeFn = (args: RuntimeValue[]) => RuntimeValue;
export declare const fnSIN: NativeFn;
export declare const fnCOS: NativeFn;
export declare const fnTAN: NativeFn;
export declare const fnASIN: NativeFn;
export declare const fnACOS: NativeFn;
export declare const fnATAN: NativeFn;
export declare const fnATAN2: NativeFn;
export declare const fnSINH: NativeFn;
export declare const fnCOSH: NativeFn;
export declare const fnTANH: NativeFn;
export declare const fnASINH: NativeFn;
export declare const fnACOSH: NativeFn;
export declare const fnATANH: NativeFn;
/**
 * Secondary trigonometric family (SEC / CSC / COT and hyperbolic /
 * inverse variants). None of these exist on the JavaScript Math object
 * so we derive them from the standard sin / cos / tan primitives, with
 * explicit guards at the discontinuities (π/2 for SEC, multiples of π
 * for CSC / COT, zero for the H variants).
 */
export declare const fnSEC: NativeFn;
export declare const fnCSC: NativeFn;
export declare const fnCOT: NativeFn;
export declare const fnSECH: NativeFn;
export declare const fnCSCH: NativeFn;
export declare const fnCOTH: NativeFn;
export declare const fnACOT: NativeFn;
export declare const fnACOTH: NativeFn;
export declare const fnSUM: NativeFn;
export declare const fnAVERAGE: NativeFn;
export declare const fnMIN: NativeFn;
export declare const fnMAX: NativeFn;
export declare const fnCOUNT: NativeFn;
export declare const fnCOUNTA: NativeFn;
export declare const fnCOUNTBLANK: NativeFn;
export declare const fnPRODUCT: NativeFn;
export declare const fnSUMPRODUCT: NativeFn;
export declare const fnABS: NativeFn;
export declare const fnCEILING: NativeFn;
/**
 * CEILING.MATH(number, [significance], [mode]) — rounds away from zero
 * by default, or toward zero when `mode` is non-zero AND `number` is
 * negative. Significance is always interpreted by absolute value.
 *
 * Different from CEILING: negative numbers with positive significance
 * are valid (Excel does NOT require same sign), and there is an extra
 * `mode` switch that flips the rounding direction for negatives.
 */
export declare const fnCEILING_MATH: NativeFn;
/**
 * CEILING.PRECISE / ISO.CEILING — always rounds toward +∞ (irrespective
 * of sign), using the absolute value of significance.
 */
export declare const fnCEILING_PRECISE: NativeFn;
export declare const fnFLOOR: NativeFn;
/**
 * FLOOR.MATH(number, [significance], [mode]) — rounds toward zero by
 * default, or away from zero when `mode` is non-zero AND `number` is
 * negative. Uses `|significance|` so negative significance never
 * produces #NUM!.
 */
export declare const fnFLOOR_MATH: NativeFn;
/**
 * FLOOR.PRECISE — always rounds toward −∞ using `|significance|`.
 */
export declare const fnFLOOR_PRECISE: NativeFn;
export declare const fnINT: NativeFn;
export declare const fnMOD: NativeFn;
export declare const fnPOWER: NativeFn;
export declare const fnROUND: NativeFn;
export declare const fnROUNDDOWN: NativeFn;
export declare const fnROUNDUP: NativeFn;
export declare const fnSQRT: NativeFn;
/**
 * SQRTPI(number) — returns the square root of (number × π). Useful in
 * statistical formulas and Gauss integrals.
 */
export declare const fnSQRTPI: NativeFn;
export declare const fnLN: NativeFn;
export declare const fnLOG: NativeFn;
export declare const fnLOG10: NativeFn;
export declare const fnEXP: NativeFn;
export declare const fnPI: NativeFn;
export declare const fnRAND: NativeFn;
export declare const fnRANDBETWEEN: NativeFn;
export declare const fnSIGN: NativeFn;
export declare const fnTRUNC: NativeFn;
export declare const fnSUMSQ: NativeFn;
export declare const fnGCD: NativeFn;
export declare const fnLCM: NativeFn;
export declare const fnEVEN: NativeFn;
export declare const fnODD: NativeFn;
export declare const fnMROUND: NativeFn;
export declare const fnQUOTIENT: NativeFn;
export declare const fnBASE: NativeFn;
export declare const fnDECIMAL: NativeFn;
export declare const fnROMAN: NativeFn;
export declare const fnARABIC: NativeFn;
export declare const fnDEGREES: NativeFn;
export declare const fnRADIANS: NativeFn;
export declare const fnSUMX2MY2: NativeFn;
export declare const fnSUMX2PY2: NativeFn;
export declare const fnSUMXMY2: NativeFn;
export declare const fnMULTINOMIAL: NativeFn;
export declare const fnFACT: NativeFn;
export declare const fnFACTDOUBLE: NativeFn;
export declare const fnCOMBIN: NativeFn;
export declare const fnCOMBINA: NativeFn;
export declare const fnPERMUT: NativeFn;
/**
 * MMULT(array1, array2) — matrix product. Dimensions must be
 * (m×k) × (k×n) = (m×n); mismatched sizes return #VALUE!.
 */
export declare const fnMMULT: NativeFn;
/**
 * MDETERM(array) — determinant of a square matrix via Gaussian
 * elimination with partial pivoting. Non-square or non-numeric input
 * returns #VALUE!.
 */
export declare const fnMDETERM: NativeFn;
/**
 * MINVERSE(array) — inverse of a square matrix via Gauss-Jordan
 * elimination. Singular matrices return #NUM!; non-square return
 * #VALUE!.
 */
export declare const fnMINVERSE: NativeFn;
/**
 * MUNIT(dimension) — n×n identity matrix.
 */
export declare const fnMUNIT: NativeFn;
/**
 * SERIESSUM(x, n, m, coefficients) — returns the sum of a power series
 *   x^n * coef[0] + x^(n+m) * coef[1] + x^(n+2m) * coef[2] + …
 */
export declare const fnSERIESSUM: NativeFn;