initial addition of essential crypto, encoders, workflows and LLM instructions

pkg/crypto/ec/btcec.go

@@ -0,0 +1,53 @@
+// Copyright 2010 The Go Authors. All rights reserved.
+// Copyright 2011 ThePiachu. All rights reserved.
+// Copyright 2013-2014 The btcsuite developers
+// Use of this source code is governed by an ISC
+// license that can be found in the LICENSE file.
+
+package btcec
+
+// References:
+//   [SECG]: Recommended Elliptic Curve Domain Parameters
+//     http://www.secg.org/sec2-v2.pdf
+//
+//   [GECC]: Guide to Elliptic Curve Cryptography (Hankerson, Menezes, Vanstone)
+
+// This package operates, internally, on Jacobian coordinates. For a given
+// (x, y) position on the curve, the Jacobian coordinates are (x1, y1, z1)
+// where x = x1/z1² and y = y1/z1³. The greatest speedups come when the whole
+// calculation can be performed within the transform (as in ScalarMult and
+// ScalarBaseMult). But even for Add and Double, it's faster to apply and
+// reverse the transform than to operate in affine coordinates.
+
+import (
+	"next.orly.dev/pkg/crypto/ec/secp256k1"
+)
+
+// KoblitzCurve provides an implementation for secp256k1 that fits the ECC
+// Curve interface from crypto/elliptic.
+type KoblitzCurve = secp256k1.KoblitzCurve
+
+// S256 returns a Curve which implements secp256k1.
+func S256() *KoblitzCurve {
+	return secp256k1.S256()
+}
+
+// CurveParams contains the parameters for the secp256k1 curve.
+type CurveParams = secp256k1.CurveParams
+
+// Params returns the secp256k1 curve parameters for convenience.
+func Params() *CurveParams {
+	return secp256k1.Params()
+}
+
+// Generator returns the public key at the Generator Point.
+func Generator() *PublicKey {
+	var (
+		result JacobianPoint
+		k      secp256k1.ModNScalar
+	)
+	k.SetInt(1)
+	ScalarBaseMultNonConst(&k, &result)
+	result.ToAffine()
+	return NewPublicKey(&result.X, &result.Y)
+}