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package bip32
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import (
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"crypto/hmac"
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"crypto/sha512"
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"encoding/binary"
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"errors"
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"math/big"
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"github.com/btcsuite/btcd/btcec/v2"
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)
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// ComputePublicKey computes the public key of a child key given the extended public key, chain code, and index.
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func ComputePublicKey(extPubKey []byte, chainCode uint32, index int) ([]byte, error) {
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// Check if the index is a hardened child key
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if chainCode&0x80000000 != 0 && index < 0 {
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return nil, errors.New("invalid index")
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}
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// Serialize the public key
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pubKey, err := btcec.ParsePubKey(extPubKey)
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if err != nil {
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return nil, err
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}
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pubKeyBytes := pubKey.SerializeCompressed()
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// Serialize the index
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indexBytes := make([]byte, 4)
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binary.BigEndian.PutUint32(indexBytes, uint32(index))
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// Compute the HMAC-SHA512
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mac := hmac.New(sha512.New, []byte{byte(chainCode)})
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mac.Write(pubKeyBytes)
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mac.Write(indexBytes)
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I := mac.Sum(nil)
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// Split I into two 32-byte sequences
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IL := I[:32]
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// Convert IL to a big integer
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ilNum := new(big.Int).SetBytes(IL)
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// Check if parse256(IL) >= n
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curve := btcec.S256()
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if ilNum.Cmp(curve.N) >= 0 {
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return nil, errors.New("invalid child key")
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}
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// Compute the child public key
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ilx, ily := curve.ScalarBaseMult(IL)
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childX, childY := curve.Add(ilx, ily, pubKey.X(), pubKey.Y())
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lx := newBigIntFieldVal(childX)
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ly := newBigIntFieldVal(childY)
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// Create the child public key
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childPubKey := btcec.NewPublicKey(lx, ly)
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childPubKeyBytes := childPubKey.SerializeCompressed()
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return childPubKeyBytes, nil
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}
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// newBigIntFieldVal creates a new field value from a big integer.
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func newBigIntFieldVal(val *big.Int) *btcec.FieldVal {
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lx := new(btcec.FieldVal)
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lx.SetByteSlice(val.Bytes())
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return lx
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}
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