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// Implementation of a MultiplicateCurve, using filippo.io/edwards25519.
// Note that the implementation in edwards25519 uses addition for the group operation,
// while we are exposing a multiplicative version of it.
package curve
import (
"crypto/rand"
"encoding/base64"
"io"
ed "filippo.io/edwards25519"
)
var Curve25519 = &c25519{}
type Curve25519Scalar = scalar
type Curve25519Point = point
type c25519 struct{}
type scalar ed.Scalar
type point ed.Point
var _ SomeScalar[*scalar] = (*scalar)(nil)
var _ SomePoint[*scalar, *scalar, *point] = (*point)(nil)
var _ SomeCurve[*scalar, *scalar, *point, *point] = Curve25519
var b64 = base64.StdEncoding.WithPadding(base64.NoPadding)
func (s *scalar) Bytes() []byte {
return ((*ed.Scalar)(s)).Bytes()
}
func (s *scalar) Equal(t *scalar) bool {
return ((*ed.Scalar)(s)).Equal((*ed.Scalar)(t)) == 1
}
func (s *scalar) String() string {
return b64.EncodeToString(s.Bytes())
}
func (s *scalar) Add(t *scalar) *scalar {
return (*scalar)(new(ed.Scalar).Add((*ed.Scalar)(s), (*ed.Scalar)(t)))
}
func (s *scalar) Sub(t *scalar) *scalar {
return (*scalar)(new(ed.Scalar).Subtract((*ed.Scalar)(s), (*ed.Scalar)(t)))
}
func (s *scalar) Mul(t *scalar) *scalar {
return (*scalar)(new(ed.Scalar).Multiply((*ed.Scalar)(s), (*ed.Scalar)(t)))
}
func (c *c25519) ScalarFromReader(random io.Reader) (*scalar, error) {
var buf [64]byte
if random == nil {
random = rand.Reader
}
random.Read(buf[:])
return c.ScalarFromBytes(buf[:])
}
func (c *c25519) RandomScalar() *scalar {
for i := 0; i < 3; i++ {
if s, e := c.ScalarFromReader(nil); e == nil {
return s
}
}
panic("couldn't generate scalar")
}
func (c *c25519) ScalarFromBytes(b []byte) (*scalar, error) {
s, e := new(ed.Scalar).SetUniformBytes(b)
return (*scalar)(s), e
}
func (c *c25519) ScalarOne() *scalar {
b := [64]byte{1}
one, e := c.ScalarFromBytes(b[:])
if e != nil {
panic(e)
}
return one
}
func (c *c25519) Exp(s *scalar) *point {
p := new(ed.Point).ScalarBaseMult((*ed.Scalar)(s))
return (*point)(p)
}
func (c *c25519) Identity() *point {
return (*point)(ed.NewIdentityPoint())
}
func (c *c25519) Generator() *point {
return (*point)(ed.NewGeneratorPoint())
}
func (c *c25519) Product(pts []*point) (product *point) {
product = c.Identity()
for _, p := range pts {
product = product.Mul(p)
}
return product
}
// Return P^n , for n Sc, and P Pt
func (p *point) Exp(s *scalar) *point {
r := new(ed.Point).ScalarMult((*ed.Scalar)(s), (*ed.Point)(p))
return (*point)(r)
}
func (p *point) Bytes() []byte {
return ((*ed.Point)(p)).Bytes()
}
// Return p (*) q in group
func (p *point) Mul(q *point) *point {
r := new(ed.Point).Add((*ed.Point)(p), (*ed.Point)(q))
return (*point)(r)
}
// Return p (/) q in group
func (p *point) Div(q *point) *point {
r := new(ed.Point).Subtract((*ed.Point)(p), (*ed.Point)(q))
return (*point)(r)
}
// Return p^(-1)
func (p *point) Inv() *point {
n := new(ed.Point).Negate((*ed.Point)(p))
return (*point)(n)
}
func (p *point) Equal(q *point) bool {
return ((*ed.Point)(p)).Equal((*ed.Point)(q)) == 1
}
func (p *point) String() string {
return b64.EncodeToString(p.Bytes())
}
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