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docs: add ecAdd / ecMul #80

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docs: add ecAdd / ecMul #80

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25 changes: 11 additions & 14 deletions docs/differences.md
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Expand Up @@ -13,25 +13,22 @@ it still has some edge case behaviors.

The below opcodes differ in behavior between Ethereum and Kakarot:

| Item | Ethereum | Kakarot |
| ----------- | ---------------------------------------------------------- | --------------------------------------------------------------- |
| BLOCKHASH | Get the hash of one of the 256 most recent complete blocks | The last 10 blocks are not available, and 0 is returned instead |
| BLOBBASEFEE | Get the current data-blob base-fee | Return 0 as there are no blobs on Kakarot |
| BLOBHASH | Get blob versioned hashes at index | Return 0 as there are no blobs on Kakarot |
| Item | Ethereum | Kakarot |
| ----------- | ---------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------ |
| BLOCKHASH | Get the hash of one of the 256 most recent complete blocks | The last 10 blocks are not available, and 0 is returned instead |
| BLOBBASEFEE | Get the current data-blob base-fee | Return 1 as there are no blobs on Kakarot. Corresponds to `MIN_BASE_FEE_PER_BLOB_GAS` as per [EIP-4844](https://eips.ethereum.org/EIPS/eip-4844) |
| BLOBHASH | Get blob versioned hashes at index | Return 0 as there are no blobs on Kakarot |

## EVM precompiles

The below precompiles differ in behavior between Ethereum and Kakarot:

| Item | Ethereum | Kakarot |
| ---------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------- |
| ecAdd | Point addition (ADD) on the elliptic curve `alt_bn128` | Not supported |
| ecMul | Scalar multiplication (MUL) on the elliptic curve `alt_bn128` | Not supported |
| ecPairing | Bilinear function on groups on the elliptic curve `alt_bn128` | Not supported |
| Modexp |
Arbitrary-precision exponentiation under modulo | Not supported |
| Point evaluation | Verify p(z) = y given commitment that corresponds to the polynomial p(x) and a KZG proof. Also verify that the provided commitment matches the provided versioned_hash. | Not supported |
| P256 Verification (secp256r1 - [RIP-7212](https://github.com/ethereum/RIPs/blob/master/RIPS/rip-7212.md)) | Not Supported | P256 is used in Apple’s Secure Enclave, Webauthn, Android Keychain. Enables many use cases such as cheap FaceID signature verification for smart wallets on Kakarot. |
| Item | Ethereum | Kakarot |
| --------------------------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| ecPairing | Bilinear function on groups on the elliptic curve `alt_bn128` | Not supported |
| Modexp | Arbitrary-precision exponentiation under modulo | Not supported |
| Point evaluation | Verify p(z) = y given commitment that corresponds to the polynomial p(x) and a KZG proof. Also verify that the provided commitment matches the provided versioned_hash. | Not supported |
| P256 Verification (secp256r1 - [RIP-7212](https://github.com/ethereum/RIPs/blob/master/RIPS/rip-7212.md)) | Not Supported | P256 is used in Apple’s Secure Enclave, Webauthn, Android Keychain. Enables many use cases such as cheap FaceID signature verification for smart wallets on Kakarot. |

## EVM State computation

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