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// This package implements an abstraction for various
// elliptic curve primitives, as multiplicative group.
package curve
import "io"
type Data interface {
Bytes() []byte
String() string
}
type SomeScalar[S Data] interface {
Add(S) S
Sub(S) S
Mult(S) S
Equal(S) bool
// Maybe later:
// Invert(S) S
// Negate(S) S
}
type ScalarReader[S any] interface {
RandomScalar() S
ScalarFromReader(io.Reader) (S, error)
ScalarFromBytes([]byte) (S, error)
}
type MultiplicativeCurve[S SomeScalar[s], s Data, P MPoint[S, s, p], p Data] interface {
ScalarReader[S]
Identity() P
Generator() P
Product([]P) P
Exp(S) P
}
type MPoint[S SomeScalar[s], s Data, P Data] interface {
Mult(P) P
Div(P) P
Inv() P
Exp(S) P
Equal(P) bool
}
// For additive formulation of the curve, use these interfaces:
type AdditiveCurve[S SomeScalar[s], s Data, P APoint[S, s, p], p Data] interface {
ScalarReader[S]
Zero() P
Generator() P
Sum([]P) P
Mul(S) P
}
type APoint[S SomeScalar[s], s Data, P Data] interface {
Add(P) P
Sub(P) P
Neg(P) P
ScalarMult(S) P
Equal(P) bool
}
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