import { MixedSet } from "../utility/MixedSet.js";
import * as Result from "../utility/result.js";
import { result } from "../utility/result.js";
import { ContinuousShape } from "./Continuous.js";
import { DiscreteShape } from "./Discrete.js";
import { MixedShape } from "./Mixed.js";
import { MixedPoint } from "./MixedPoint.js";
export type ConvolutionOperation = "Add" | "Multiply" | "Subtract";
export type DistributionType = "PDF" | "CDF";
export declare const convolutionOperationToFn: (op: ConvolutionOperation) => ((x: number, y: number) => number);
export type AnyPointSet = MixedShape | ContinuousShape | DiscreteShape;
export interface PointSet<T> {
    minX(): number;
    maxX(): number;
    mapY(fn: (y: number) => number, integralSumCacheFn?: (sum: number) => number | undefined, integralCacheFn?: (cache: ContinuousShape) => ContinuousShape | undefined): T;
    mapYResult<E>(fn: (y: number) => result<number, E>, integralSumCacheFn: undefined | ((sum: number) => number | undefined), integralCacheFn: undefined | ((cache: ContinuousShape) => ContinuousShape | undefined)): result<T, E>;
    xToY(x: number): MixedPoint;
    isEmpty(): boolean;
    toContinuous(): ContinuousShape | undefined;
    toDiscrete(): DiscreteShape | undefined;
    toMixed(): MixedShape;
    normalize(): T;
    toDiscreteProbabilityMassFraction(): number;
    downsample(length: number): T;
    truncate(left: number | undefined, right: number | undefined): T;
    integral(): ContinuousShape;
    integralSum(): number;
    integralXtoY(x: number): number;
    integralYtoX(y: number): number;
    withAdjustedIntegralSum(sum: number): T;
    mean(): number;
    variance(): number;
    yTransform(): MixedShape;
    support(): MixedSet;
}
export declare const combinePointwise: <E>(t1: AnyPointSet, t2: AnyPointSet, fn: (v1: number, v2: number) => Result.result<number, E>, integralSumCachesFn?: (v1: number, v2: number) => number | undefined, integralCachesFn?: (s1: ContinuousShape, s2: ContinuousShape) => ContinuousShape | undefined) => result<AnyPointSet, E>;
export declare const isContinuous: (d: AnyPointSet) => d is ContinuousShape;
export declare const isDiscrete: (d: AnyPointSet) => d is DiscreteShape;
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