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package groups
import (
"math/big"
)
// Element represents the operation that needs to be satisfied by Group element.
type Element interface {
Add(other Element) Element
ScalarMult(s *big.Int) Element
Negate() Element
}
// Group defines methods that needs to be implemented by the number / elliptic
// curve group which is used to implement SPAKE2 algorithm
type Group interface {
// These functions are not really group operations but they are needed
// to get the required group Element's needed for calculation of SPAKE2
ConstM() Element
ConstN() Element
ConstS() Element
// This operation is needed to get a random integer in the group
RandomScalar() (*big.Int, error)
// This operation is for converting user password to a group element
PasswordToScalar(pw []byte) *big.Int
// These operations are group operations
BasePointMult(s *big.Int) Element
Add(a, b Element) Element
ScalarMult(a Element, s *big.Int) Element
ElementToBytes(e Element) []byte
ElementFromBytes([]byte) (Element, error)
// This operation should return size of the group
ElementSize() int
// This operation returns order of subgroup
Order() *big.Int
}
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