/** linear bezier curve implicit form coefficients */
type ImplicitForm1Coeffs<T> = {
    vₓ: T;
    vᵧ: T;
    v: T;
};
/** quadratic bezier curve implicit form coefficients */
type ImplicitForm2Coeffs<T> = ImplicitForm1Coeffs<T> & {
    vₓₓ: T;
    vₓᵧ: T;
    vᵧᵧ: T;
};
/** cubic bezier curve implicit form coefficients */
type ImplicitForm3Coeffs<T> = ImplicitForm2Coeffs<T> & {
    vₓₓₓ: T;
    vₓₓᵧ: T;
    vₓᵧᵧ: T;
    vᵧᵧᵧ: T;
};
/** linear bezier curve implicit form coefficient errors */
type ImplicitForm1CoeffErrors = {
    vₓ_: number;
    vᵧ_: number;
    v_: number;
};
/** quadratic bezier curve implicit form coefficients */
type ImplicitForm2CoeffErrors = ImplicitForm1CoeffErrors & {
    vₓₓ_: number;
    vₓᵧ_: number;
    vᵧᵧ_: number;
};
/** cubic bezier curve implicit form coefficients */
type ImplicitForm3CoeffErrors = ImplicitForm2CoeffErrors & {
    vₓₓₓ_: number;
    vₓₓᵧ_: number;
    vₓᵧᵧ_: number;
    vᵧᵧᵧ_: number;
};
type ImplicitForm1<T> = {
    coeffs: ImplicitForm1Coeffs<T>;
    errorBound: ImplicitForm1CoeffErrors;
};
type ImplicitForm2<T> = {
    coeffs: ImplicitForm2Coeffs<T>;
    errorBound: ImplicitForm2CoeffErrors;
};
type ImplicitForm3<T> = {
    coeffs: ImplicitForm3Coeffs<T>;
    errorBound: ImplicitForm3CoeffErrors;
};
type ImplicitForm<T> = ImplicitForm1<T> | ImplicitForm2<T> | ImplicitForm3<T>;
type ImplicitFormDouble = ImplicitForm<number>;
type ImplicitFormDd = ImplicitForm<number[]>;
type ImplicitFormExact1 = ImplicitForm1Coeffs<number[]>;
type ImplicitFormExact2 = ImplicitForm2Coeffs<number[]>;
type ImplicitFormExact3 = ImplicitForm3Coeffs<number[]>;
type ImplicitFormExact = ImplicitFormExact1 | ImplicitFormExact2 | ImplicitFormExact3;
export type { ImplicitForm1, ImplicitForm2, ImplicitForm3, ImplicitForm, ImplicitFormDd, ImplicitFormDouble, ImplicitForm1Coeffs, ImplicitForm2Coeffs, ImplicitForm3Coeffs, ImplicitForm1CoeffErrors, ImplicitForm2CoeffErrors, ImplicitForm3CoeffErrors, ImplicitFormExact1, ImplicitFormExact2, ImplicitFormExact3, ImplicitFormExact };