Eddy v1.0.0

View Source Eddy.Point (Eddy v1.0.0)

Module for manipulating elliptic curve points, using EdDSA mathematics on the Ed25519 curve.

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Types

t()

EdDSA Point

Functions

add(point, other)

Adds two elliptic curve points.

double(point)

Doubles an elliptic curve point.

eq(point, other)

Compares two elliptic curve points.

mul(point, scalar)

Mutiplies an elliptic curve point with the given scalar.

neg(point)

Negates an elliptic curve point.

sub(point, other)

Subtracts the second elliptic curve point from the first.

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t()

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@type t() :: %Eddy.Point{x: integer(), y: integer()}

EdDSA Point

A Point is a pair of coordinates (x, y) on an elliptic curve. Specifically, the Ed25519 curve, as defined by the equation:

y^2 = x^3 + 486662x^2 + x

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add(point, other)

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@spec add(t(), t()) :: t()

Adds two elliptic curve points.

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double(point)

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@spec double(t()) :: t()

Doubles an elliptic curve point.

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eq(point, other)

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@spec eq(t(), t()) :: boolean()

Compares two elliptic curve points.

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mul(point, scalar)

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@spec mul(t(), integer()) :: t()

Mutiplies an elliptic curve point with the given scalar.

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neg(point)

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@spec neg(t()) :: t()

Negates an elliptic curve point.

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sub(point, other)

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@spec sub(t(), t()) :: t()

Subtracts the second elliptic curve point from the first.