type Vec = readonly number[] | Float64Array;
/** Clamp a number — or each element of an array — to `[lo, hi]`. */
export declare function clamp(x: number, lo: number, hi: number): number;
export declare function clamp(x: readonly number[], lo: number, hi: number): number[];
/** Logistic sigmoid `1/(1+e^-x)`, computed in the numerically stable branch. */
export declare function sigmoid(x: number): number;
export declare function sigmoid(x: readonly number[]): number[];
/**
 * Log-sum-exp: `log(Σ exp(xᵢ))`, shifted by the max for numerical stability.
 * Reuses `max`/`sum`. The backbone of log-probability arithmetic.
 */
export declare function logsumexp(x: Vec): number;
/** Softmax: `exp(xᵢ − max) / Σ exp(x − max)`. Returns a probability vector. */
export declare function softmax(x: Vec): number[];
/** Cumulative product (running ∏). Output has the same length as the input. */
export declare function cumprod(x: Vec): number[];
/** Cumulative maximum (running max). */
export declare function cummax(x: Vec): number[];
/** Cumulative minimum (running min). */
export declare function cummin(x: Vec): number[];
/**
 * Cumulative trapezoidal integral of samples `y` (optionally over abscissae
 * `x`, else unit spacing or a scalar `dx`). Output has the same length as `y`
 * with a leading 0 (the MATLAB `cumtrapz` convention).
 */
export declare function cumtrapz(y: Vec, x?: Vec | number): number[];
export {};
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