Update simple-serialize.md
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@ -4,6 +4,7 @@ This is a **work in progress** describing typing, serialization and Merkleizatio
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## Table of contents
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- [Constants](#constants)
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- [Typing](#typing)
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- [Basic types](#basic-types)
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- [Composite types](#composite-types)
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@ -17,8 +18,14 @@ This is a **work in progress** describing typing, serialization and Merkleizatio
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- [Self-signed containers](#self-signed-containers)
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- [Implementations](#implementations)
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## Typing
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## Constants
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| Name | Value | Description |
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| `BYTES_PER_CHUNK` | `32` | Number of bytes per chunk.
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| `BYTES_PER_LENGTH_PREFIX` | `4` | Number of bytes per serialized length prefix. |
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## Typing
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### Basic types
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* `uintN`: `N`-bit unsigned integer (where `N in [8, 16, 32, 64, 128, 256]`)
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@ -27,7 +34,7 @@ This is a **work in progress** describing typing, serialization and Merkleizatio
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### Composite types
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* **container**: ordered heterogenous collection of values
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* key-pair curly braket notation `{}`, e.g. `{'foo': uint64, 'bar': bool}`
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* key-pair curly braket notation `{}`, e.g. `{'foo': "uint64", 'bar': "bool"}`
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* **tuple**: ordered fixed-length homogeneous collection of values
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* angle braket notation `[N]`, e.g. `uint64[N]`
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* **list**: ordered variable-length homogenous collection of values
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@ -63,9 +70,8 @@ return b'\x01' if value is True else b'\x00'
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```python
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serialized_bytes = ''.join([serialize(element) for element in value])
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LENGTH_BYTES = 4
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assert len(serialized_bytes) < 2**(8 * LENGTH_BYTES)
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serialized_length = len(serialized_bytes).to_bytes(LENGTH_BYTES, 'little')
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assert len(serialized_bytes) < 2**(8 * BYTES_PER_LENGTH_PREFIX)
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serialized_length = len(serialized_bytes).to_bytes(BYTES_PER_LENGTH_PREFIX, 'little')
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return serialized_length + serialized_bytes
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```
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@ -77,8 +83,8 @@ Given a type, serialization is an injective function from objects of that type t
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We first define helper functions:
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* `pack`: Given ordered objects of the same basic type, serialize them, pack them into 32-byte chunks, right-pad the last chunk with zero bytes, and return the chunks.
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* `merkleize`: Given ordered 32-byte chunks, right-pad them with zero chunks to the next power of two, Merkleize the chunks, and return the root.
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* `pack`: Given ordered objects of the same basic type, serialize them, pack them into BYTES_PER_CHUNK-byte chunks, right-pad the last chunk with zero bytes, and return the chunks.
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* `merkleize`: Given ordered BYTES_PER_CHUNK-byte chunks, right-pad them with zero chunks to the next power of two, Merkleize the chunks, and return the root.
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* `mix_in_length`: Given a Merkle root `root` and a length `length` (`uint256` little-endian serialization) return `hash(root + length)`.
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We now define Merkleization `hash_tree_root(value)` of an object `value` recursively:
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