2022-07-01 18:19:57 +00:00
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# Nim-Libp2p
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2023-01-20 14:47:40 +00:00
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# Copyright (c) 2023 Status Research & Development GmbH
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2022-07-01 18:19:57 +00:00
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# Licensed under either of
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# * Apache License, version 2.0, ([LICENSE-APACHE](LICENSE-APACHE))
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# * MIT license ([LICENSE-MIT](LICENSE-MIT))
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# at your option.
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# This file may not be copied, modified, or distributed except according to
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# those terms.
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2020-02-13 07:54:32 +00:00
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## This module integrates BearSSL ChaCha20+Poly1305
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##
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## This module uses unmodified parts of code from
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## BearSSL library <https://bearssl.org/>
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## Copyright(C) 2018 Thomas Pornin <pornin@bolet.org>.
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# RFC @ https://tools.ietf.org/html/rfc7539
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2022-08-03 11:33:19 +00:00
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when (NimMajor, NimMinor) < (1, 4):
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{.push raises: [Defect].}
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else:
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{.push raises: [].}
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2020-05-19 08:22:49 +00:00
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2022-06-16 08:08:52 +00:00
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import bearssl/blockx
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2022-04-12 10:41:48 +00:00
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from stew/assign2 import assign
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from stew/ranges/ptr_arith import baseAddr
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2020-02-13 07:54:32 +00:00
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const
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ChaChaPolyKeySize = 32
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ChaChaPolyNonceSize = 12
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ChaChaPolyTagSize = 16
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2020-04-07 15:48:47 +00:00
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2020-02-13 07:54:32 +00:00
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type
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2020-02-14 02:56:05 +00:00
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ChaChaPoly* = object
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2020-02-13 07:54:32 +00:00
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ChaChaPolyKey* = array[ChaChaPolyKeySize, byte]
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ChaChaPolyNonce* = array[ChaChaPolyNonceSize, byte]
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ChaChaPolyTag* = array[ChaChaPolyTagSize, byte]
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2021-12-16 10:05:20 +00:00
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proc intoChaChaPolyKey*(s: openArray[byte]): ChaChaPolyKey =
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2020-02-14 11:09:14 +00:00
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assert s.len == ChaChaPolyKeySize
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2022-04-12 10:41:48 +00:00
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assign(result, s)
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2020-02-14 11:09:14 +00:00
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2021-12-16 10:05:20 +00:00
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proc intoChaChaPolyNonce*(s: openArray[byte]): ChaChaPolyNonce =
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2020-02-14 11:09:14 +00:00
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assert s.len == ChaChaPolyNonceSize
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2022-04-12 10:41:48 +00:00
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assign(result, s)
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2020-02-14 11:09:14 +00:00
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2021-12-16 10:05:20 +00:00
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proc intoChaChaPolyTag*(s: openArray[byte]): ChaChaPolyTag =
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2020-02-14 11:09:14 +00:00
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assert s.len == ChaChaPolyTagSize
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2022-04-12 10:41:48 +00:00
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assign(result, s)
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2020-04-07 15:48:47 +00:00
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2020-02-13 07:54:32 +00:00
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# bearssl allows us to use optimized versions
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# this is reconciled at runtime
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# we do this in the global scope / module init
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proc encrypt*(_: type[ChaChaPoly],
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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key: ChaChaPolyKey,
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nonce: ChaChaPolyNonce,
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2020-02-13 07:54:32 +00:00
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tag: var ChaChaPolyTag,
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2021-12-16 10:05:20 +00:00
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data: var openArray[byte],
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aad: openArray[byte]) =
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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let
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ad = if aad.len > 0:
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2021-12-16 10:05:20 +00:00
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unsafeAddr aad[0]
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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else:
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nil
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2022-06-16 08:08:52 +00:00
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poly1305CtmulRun(
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2021-12-16 10:05:20 +00:00
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unsafeAddr key[0],
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unsafeAddr nonce[0],
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2022-04-12 10:41:48 +00:00
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baseAddr(data),
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2022-06-16 08:08:52 +00:00
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uint(data.len),
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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ad,
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2022-06-16 08:08:52 +00:00
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uint(aad.len),
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2022-04-12 10:41:48 +00:00
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baseAddr(tag),
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2022-06-16 08:08:52 +00:00
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# cast is required to workaround https://github.com/nim-lang/Nim/issues/13905
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cast[Chacha20Run](chacha20CtRun),
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2020-02-13 07:54:32 +00:00
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#[encrypt]# 1.cint)
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proc decrypt*(_: type[ChaChaPoly],
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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key: ChaChaPolyKey,
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nonce: ChaChaPolyNonce,
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2020-02-13 07:54:32 +00:00
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tag: var ChaChaPolyTag,
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2021-12-16 10:05:20 +00:00
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data: var openArray[byte],
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aad: openArray[byte]) =
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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let
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ad = if aad.len > 0:
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2021-12-16 10:05:20 +00:00
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unsafeAddr aad[0]
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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else:
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nil
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2020-04-07 15:48:47 +00:00
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2022-06-16 08:08:52 +00:00
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poly1305CtmulRun(
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2021-12-16 10:05:20 +00:00
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unsafeAddr key[0],
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unsafeAddr nonce[0],
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2022-04-12 10:41:48 +00:00
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baseAddr(data),
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2022-06-16 08:08:52 +00:00
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uint(data.len),
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Noise (#90)
* Start ChaCha20Poly1305 integration (BearSSL)
* Add Curve25519 (BearSSL) required operations for noise
* Fix curve mulgen iterate/derive
* Fix misleading header
* Add chachapoly proper test
* Curve25519 integration tests (failing, something is wrong)
* Add few converters, finish c25519 integration tests
* Remove implicit converters
* removed internal globals
* Start noise implementation
* Fix public() using proper bear mulgen
* Noise protocol WIP
* Noise progress
* Add a quick nim version of HKDF
* Converted hkdf to iterator, useful for noise
* Noise protocol implementation progress
* Noise progress
* XX handshake almost there
* noise progress
* Noise, testing handshake with test vectors
* Noise handshake progress, still wrong somewhere!
* Noise handshake success!
* Full verified noise XX handshake completed
* Fix and rewrite test to be similar to switch one
* Start with connection upgrade
* Switch chachapoly to CT implementations
* Improve HKDF implementation
* Use a type insted of tuple for HandshakeResult
* Remove unnecessary Let
* More cosmetic fixes
* Properly check randomBytes result
* Fix chachapoly signature
* Noise full circle (altho dispatcher is nil cursed)
* Allow nil aads in chachapoly routines
* Noise implementation up to running full test
* Use bearssl HKDF as well
* Directly use bearssl rng for curve25519 keys
* Add a (disabled/no CI) noise interop test server
* WIP on fixing interop issues
* More fixes in noise implementation for interop
* bump chronos requirement (nimble)
* Add a chachapoly test for very small size payloads
* Noise, more tracing
* Add 2 properly working noise tests
* Fix payload packing, following the spec properly (and not go version but
rather rust)
* Sanity, replace discard with asyncCheck
* Small fixes and optimization
* Use stew endian2 rather then system endian module
* Update nimble deps (chronos)
* Minor cosmetic/code sanity fixes
* Noise, handle Nonce max
* Noise tests, make sure to close secured conns
* More polish, improve code readability too
* More polish and testing again which test fails
* Further polishing
* Restore noise tests
* Remove useless Future[void]
* Remove useless CipherState initializer
* add a proper read wait future in second noise test
* Remove noise generic secure implementation for now
* Few fixes to run eth2 sim
* Add more debug info in noise traces
* Merge size + payload write in sendEncryptedMessage
* Revert secure interface, add outgoing property directly in newNoise
* remove sendEncrypted and receiveEncrypted
* Use openarray in chachapoly and curve25519 helpers
2020-03-17 12:30:01 +00:00
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ad,
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2022-06-16 08:08:52 +00:00
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uint(aad.len),
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2022-04-12 10:41:48 +00:00
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baseAddr(tag),
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2022-06-16 08:08:52 +00:00
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# cast is required to workaround https://github.com/nim-lang/Nim/issues/13905
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cast[Chacha20Run](chacha20CtRun),
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2020-02-13 07:54:32 +00:00
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#[decrypt]# 0.cint)
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