export type Interval = {
    start: number;
    end: number;
};
/** `base` minus the UNION of `pieces` (pieces are clamped into `base`
 *  first, so a malformed log can never produce a negative residue).
 *  Powers self-time: a span's envelope minus its children's envelopes. */
export declare function subtract(base: Interval, pieces: Interval[]): Interval[];
/** Fraction of each of `cells` equal slices of `window` that `intervals`
 *  occupy, each in [0, 1]. Overlapping intervals clamp at 1 — shade means
 *  busyness, never overlap count. A zero-width window degenerates to 1ms
 *  so the math stays finite (the drill-into-a-0ms-span case). */
export declare function coverage(intervals: Interval[], window: Interval, cells: number): number[];
/** How much of a cell is occupied and where: `mid` is the midpoint of the
 *  occupied part as a fraction of the cell, 0.5 when nothing is, so a bar
 *  can draw a span that starts late in a cell on that cell's right side. */
export type CellFill = {
    fraction: number;
    mid: number;
};
export declare function cellFills(intervals: Interval[], window: Interval, cells: number): CellFill[];
export declare function totalMs(intervals: Interval[]): number;