Simple wrapper for direct usage of secp256k1 elliptic curve algebra.
To use this wrapper you have to install bitcoin GO implementation blockchain from: https://github.com/btcsuite/btcd/tree/master/btcec
Use this command if your local environment doesn't have the required packages.
go get github.com/btcsuite/btcd@master
The wrapper contains EC point creator, build in X,Y printer, isOnCurve checker, and basic EC group operations.
Example of wrapper usage described in main.go file.
// get G point of secp256k1 curve and print it
G_point := wrapper.GetBasicG()
G_point.PrintPoint()
// check if point is on secp256k1 curve [always true]
fmt.Println("Is G on point -> ", G_point.IsOnCurveCheck())
// create random point and check if it's on curve [should be false with very high percentile]
x, _ := wrapper.GenerateRandomBigInt(256)
y, _ := wrapper.GenerateRandomBigInt(256)
rand_point := wrapper.SetNewPoint(x, y)
fmt.Println("Is random point belongs to secp256k1 curve ? - > ", rand_point.IsOnCurveCheck())
// get random point ON secp256k1
EC_point, err := wrapper.GetRandomECpoint()
if err != nil {
fmt.Println(err)
}
// should always be true
fmt.Println("Is EC_point belongs to secp256k1 curve ? - > ", EC_point.IsOnCurveCheck())
// create two points and do Group operations with them
A_point, _ := wrapper.GetRandomECpoint()
B_point, _ := wrapper.GetRandomECpoint()
// add two point
AB_point := wrapper.AddElipticPoints(A_point, B_point)
AB_point.PrintPoint()
// get double from point
AB_double := wrapper.Double(AB_point)
AB_double.PrintPoint()
fmt.Println("Is doubled A+B point belongs to the curve? -> ", AB_double.IsOnCurveCheck())
// multiply AB_double point on scalar
scalar, _ := wrapper.GenerateRandomBigInt(256)
AB_double_mul_scalar_point := wrapper.ScalarMult(AB_double, scalar)
// check of AB_double_scalar_point belongs to the curve
fmt.Println("Is (doubled AB) * scalar belongs to the curve -> ", AB_double_mul_scalar_point.IsOnCurveCheck())All code is documenteted and available in ./wrapper/eliptic_wrapper.go
Wrapper was tested on basic Group rules, which elliptic curve has to match. k*(d*G) = d*(k*G)
Code for the test is in ./wrapper/hypothesis_test.go file.