Interface CurvePoint<F, P>

add

• add(other: P): P

  Add another point from the same curve.

  Parameters

  • other: P

    Point to add.

  Returns P

  Sum point.

assertValidity

• assertValidity(): void

  Assert that the point satisfies the curve equation and subgroup checks.

  Returns void

clearCofactor

• clearCofactor(): P

  Map the point into the prime-order subgroup when the curve requires it.

  Returns P

  Prime-order point.

double

• double(): P

  Double the point.

  Returns P

  Doubled point.

equals

• equals(other: P): boolean

  Compare two points for equality.

  Parameters

  • other: P

    Point to compare.

  Returns boolean

  Whether the points are equal.

is0

• is0(): boolean

  Check whether the point is the point at infinity.

  Returns boolean

  Whether the point is zero.

isSmallOrder

• isSmallOrder(): boolean

  Check whether the point lies in a small torsion subgroup.

  Returns boolean

  Whether the point has small order.

isTorsionFree

• isTorsionFree(): boolean

  Check whether the point belongs to the prime-order subgroup.

  Returns boolean

  Whether the point is torsion-free.

multiply

• multiply(scalar: bigint): P

  Multiply the point by a scalar in constant time. Implementations keep the subgroup-scalar contract strict and may reject 0 instead of returning the identity point.

  Parameters

  • scalar: bigint

    Scalar multiplier.

  Returns P

  Product point.

multiplyUnsafe

• multiplyUnsafe(scalar: bigint): P

  Multiply the point by a scalar without constant-time guarantees. Public-scalar callers that need 0 should use this method instead of relying on multiply(...) to return the identity point.

  Parameters

  • scalar: bigint

    Scalar multiplier.

  Returns P

  Product point.

negate

• negate(): P

  Negate the point.

  Returns P

  Negated point.

precompute

• precompute(windowSize?: number, isLazy?: boolean): P

  Massively speeds up p.multiply(n) by using precompute tables (caching). See wNAF. Cache state lives in internal WeakMaps keyed by point identity, not on the point object. Repeating precompute(...) for the same point identity replaces the remembered window size and forces table regeneration for that point.

  Parameters

  • OptionalwindowSize: number

    Precompute window size.

  • OptionalisLazy: boolean

    calculate cache now. Default (true) ensures it's deferred to first multiply()

  Returns P

  Same point instance with precompute tables attached.

subtract

• subtract(other: P): P

  Subtract another point from the same curve.

  Parameters

  • other: P

    Point to subtract.

  Returns P

  Difference point.

toAffine

• toAffine(invertedZ?: F): AffinePoint<F>

  Converts point to 2D xy affine coordinates.

  Parameters

  • OptionalinvertedZ: F

    Optional inverted Z coordinate for batch normalization.

  Returns AffinePoint<F>

  Affine x/y coordinates.

toBytes

• toBytes(): Uint8Array

  Encode the point into the curve's canonical byte form.

  Returns Uint8Array

  Encoded point bytes.

toHex

• toHex(): string

  Encode the point into the curve's canonical hex form.

  Returns string

  Encoded point hex.

x

y

OptionalZ