rust_ev_crypto_primitives 0.8.4

Crypto Primitives necessary for E-Voting Applications.
Documentation
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// Copyright © 2023 Denis Morel

// This program is free software: you can redistribute it and/or modify it under
// the terms of the GNU General Public License as published by the Free
// Software Foundation, either version 3 of the License, or (at your option) any
// later version.
//
// This program is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
// details.
//
// You should have received a copy of the GNU General Public License and
// a copy of the GNU General Public License along with this program. If not, see
// <https://www.gnu.org/licenses/>.

//! Implementation of recursive hash functionality
//!

use crate::{
    ByteArray, ByteArrayError, GROUP_PARAMETER_Q_LENGTH, Integer, SECURITY_STRENGTH,
    basic_crypto_functions::{BasisCryptoError, sha3_256, shake256},
};
use std::{borrow::Cow, fmt::Debug, str::FromStr};
use thiserror::Error;

/// Trait implementing defining an interface for objects implementing a recursive hash function.
///
/// The enum [HashableMessage] implements the trait.
pub trait RecursiveHashTrait {
    type Error;

    /// Try recursive hash
    ///
    /// Return [Self::Error] if an error appears during the calculation
    fn recursive_hash(&self) -> Result<ByteArray, Self::Error>;

    /// Try recursive hash and return a variant HashableMessage::Hashed containing the hashed value
    ///
    /// Return [Self::Error] if an error appears during the calculation
    fn to_hashed_hashable_message(&self) -> Result<HashableMessage<'_>, Self::Error> {
        Ok(HashableMessage::Hashed(self.recursive_hash()?))
    }

    /// Try recursive hash of length: Computes the hash value of multiple inputs to a given bit length
    ///
    /// Return [Self::Error] if an error appears during the calculation
    fn recursive_hash_of_length(&self, length: usize) -> Result<ByteArray, Self::Error>;

    /// Try recursive hash to Zq: Computes the hash value of multiple inputs uniformly into Z_q
    ///
    /// Return [Self::Error] if an error appears during the calculation
    fn recursive_hash_to_zq(&self, q: &Integer) -> Result<Integer, Self::Error>;
}

/// Enum to represent an element that is hashable
///
/// The specifiction of Swiss Post give the list of possible
/// elements that can be hashable.
///
/// To avoid copy of existing elements (and big memory growth), the HashableMessage
/// contains possibly references to data. HashableMessage has the lifetime of the reference.
///
/// For simplification for the consumer, the enum contains the possibility to reference String or &str and the possibility
/// to reference to Integer or usize
///
/// Since [HashableMessage] implements the trait [RecursiveHashTrait], the trait must be used in a client module
/// in order to hash the message.
///
/// Example:
/// ```
/// use rust_ev_crypto_primitives::ByteArray;
/// use rust_ev_crypto_primitives::DecodeTrait;
/// use rust_ev_crypto_primitives::{HashableMessage, RecursiveHashTrait};
/// let r = HashableMessage::from("test string").recursive_hash().unwrap();
/// let expected = ByteArray::base64_decode("m1a11iWW/Tcihy/IChyY51AO8UdZe48f5oRFh7RL+JQ=").unwrap();
/// assert_eq!(r, expected);
/// ```
///
/// In the specification of SwissPost, lists with various types of elements are hashed recursivly. Since Rust doesn't allow simple
/// the use of lists with different elements, the elemets must be first transformed in [HashableMessage] and then put in a [vec].
/// ```
/// use rust_ev_crypto_primitives::{HashableMessage, RecursiveHashTrait};
/// let mut l: Vec<HashableMessage> = vec![];
/// l.push(HashableMessage::from("common reference string"));
/// l.push(HashableMessage::from(&(2 as usize)));
/// HashableMessage::from(l).recursive_hash().unwrap();
/// ```
///
/// If you decide to calculate intermediate hash values, and store the in the message (to avoid big structures),
/// use the variant [HashableMessage::Hashed]
/// ```
/// use rust_ev_crypto_primitives::{HashableMessage, RecursiveHashTrait};
/// let b = HashableMessage::from(2 as usize).recursive_hash().unwrap();
/// let hm = HashableMessage::Hashed(b.clone());
/// assert_eq!(hm.recursive_hash().unwrap(), b);
/// ```

#[derive(Debug, Clone, PartialEq, Eq)]
pub enum HashableMessage<'a> {
    ByteArray(Cow<'a, ByteArray>),
    Integer(Cow<'a, Integer>),
    USize(Cow<'a, usize>),
    String(Cow<'a, str>),
    Composite(Vec<Cow<'a, HashableMessage<'a>>>),
    Hashed(ByteArray),
    HashedOfLength(ByteArray),
}

#[derive(Error, Debug)]
#[error(transparent)]
/// Error generated by the module [hahsing]
pub struct HashError(#[from] HashErrorRepr);

#[derive(Error, Debug)]
enum HashErrorRepr {
    #[error("Error in {function} transforming integer {val} to ByteArray")]
    IntegerToByteArray {
        function: &'static str,
        val: Integer,
        source: ByteArrayError,
    },
    #[error("Hashed expected in {function}")]
    WrongHashed { function: &'static str },
    #[error("Error calculating sha3_256 in recursive_hash")]
    SHA3256 { source: BasisCryptoError },
    #[error("Error calculating shake_256 in recursive_hash_of_length")]
    Shake256 { source: BasisCryptoError },
    #[error("Error calculating cut_to_bit_len in recursive_hash_of_length")]
    BitLen { source: ByteArrayError },
    #[error("Error hashing composite")]
    CompositeHash { source: Box<HashError> },
    #[error("Error hashing to bit len composite")]
    CompositeHashToBitLen { source: Box<HashError> },
}

impl HashableMessage<'_> {
    /// Hashable to byte_array accordind the specification of Swiss Post (Algorithm 5.5)
    fn to_hashable_byte_array(&self) -> Result<ByteArray, HashErrorRepr> {
        match self {
            HashableMessage::ByteArray(b) => Ok(b.new_prepend_byte(0u8)),
            HashableMessage::Integer(i) => Ok(ByteArray::try_from(i.as_ref())
                .map_err(|e| HashErrorRepr::IntegerToByteArray {
                    function: "to_hashable_byte_array",
                    val: i.as_ref().clone(),
                    source: e,
                })?
                .new_prepend_byte(1u8)),
            HashableMessage::USize(i) => Ok(ByteArray::from(i.as_ref()).new_prepend_byte(1u8)),
            HashableMessage::String(s) => Ok(ByteArray::from(s.as_ref()).new_prepend_byte(2u8)),
            HashableMessage::Composite(c) => {
                let mut res = ByteArray::from_bytes(b"\x03");
                for e in c.iter() {
                    res.extend(
                        &e.recursive_hash()
                            .map_err(|e| HashErrorRepr::CompositeHash {
                                source: Box::new(e),
                            })?,
                    );
                }
                Ok(res)
            }
            HashableMessage::Hashed(b) => Ok(b.clone()),
            HashableMessage::HashedOfLength(_) => Err(HashErrorRepr::WrongHashed {
                function: "to_hashable_byte_array",
            }),
        }
    }

    /// Hashable to byte_array for "OfLength" accordind the specification of Swiss Post (Algorithm 5.7)
    fn to_hashable_byte_array_of_length(&self, length: usize) -> Result<ByteArray, HashErrorRepr> {
        match self {
            HashableMessage::ByteArray(b) => Ok(b.new_prepend_byte(0u8)),
            HashableMessage::Integer(i) => Ok(ByteArray::try_from(i.as_ref())
                .map_err(|e| HashErrorRepr::IntegerToByteArray {
                    function: "to_hashable_byte_array_of_length",
                    val: i.as_ref().clone(),
                    source: e,
                })?
                .new_prepend_byte(1u8)),
            HashableMessage::USize(i) => Ok(ByteArray::from(i.as_ref()).new_prepend_byte(1u8)),
            HashableMessage::String(s) => Ok(ByteArray::from(s.as_ref()).new_prepend_byte(2u8)),
            HashableMessage::Composite(c) => {
                let mut res = ByteArray::from_bytes(b"\x03");
                for e in c.iter() {
                    res.extend(&e.recursive_hash_of_length(length).map_err(|e| {
                        HashErrorRepr::CompositeHashToBitLen {
                            source: Box::new(e),
                        }
                    })?);
                }
                Ok(res)
            }
            HashableMessage::Hashed(_) => Err(HashErrorRepr::WrongHashed {
                function: "to_hashable_byte_array_of_length",
            }),
            HashableMessage::HashedOfLength(b) => Ok(b.clone()),
        }
    }

    pub fn is_hashed(&self) -> bool {
        matches!(self, HashableMessage::Hashed(_))
            || matches!(self, HashableMessage::HashedOfLength(_))
    }

    /// Composte self to the expected hashable message
    ///
    /// `deepness` is the deepness of the composite elements. 0 as default
    ///
    /// Return Ok if the hashable messages are the same, of an error
    pub fn compare_to<'b>(
        &self,
        expected: &HashableMessage<'b>,
        deepness: Option<usize>,
    ) -> Result<(), String> {
        let deep = deepness.unwrap_or(0);
        let res: Result<(), String> = match self {
            HashableMessage::ByteArray(cal) => match expected {
                HashableMessage::ByteArray(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
                HashableMessage::Integer(_) => Err("ByteArray found, Integer expected".to_string()),
                HashableMessage::USize(_) => Err("ByteArray found, usize expected".to_string()),
                HashableMessage::String(_) => Err("ByteArray found, string expected".to_string()),
                HashableMessage::Composite(_) => {
                    Err("ByteArray found, composite expected".to_string())
                }
                HashableMessage::Hashed(_) => Err("ByteArray found, hashed expected".to_string()),
                HashableMessage::HashedOfLength(_) => {
                    Err("ByteArray found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::Integer(cal) => match expected {
                HashableMessage::ByteArray(_) => Err("Integer found, Integer expected".to_string()),
                HashableMessage::Integer(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
                HashableMessage::USize(exp) => {
                    match cal.as_ref() == &Integer::from(*exp.as_ref()) {
                        false => Err(format!("{cal:?} != {exp:?}")),
                        true => Ok(()),
                    }
                }
                HashableMessage::String(exp) => match Integer::from_str(exp) {
                    Ok(n) => match &n == cal.as_ref() {
                        true => Ok(()),
                        false => Err("Integer found, string expected".to_string()),
                    },
                    Err(_) => Err("Integer found, string expected".to_string()),
                },
                HashableMessage::Composite(_) => {
                    Err("Integer found, composite expected".to_string())
                }
                HashableMessage::Hashed(_) => Err("Integer found, hashed expected".to_string()),
                HashableMessage::HashedOfLength(_) => {
                    Err("Integer found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::USize(cal) => match expected {
                HashableMessage::ByteArray(_) => Err("usize found, ByteArray expected".to_string()),
                HashableMessage::Integer(exp) => {
                    match exp.as_ref() == &Integer::from(*cal.as_ref()) {
                        false => Err(format!("{cal:?} != {exp:?}")),
                        true => Ok(()),
                    }
                }
                HashableMessage::USize(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
                HashableMessage::String(_) => Err("usize found, string expected".to_string()),
                HashableMessage::Composite(_) => Err("usize found, composite expected".to_string()),
                HashableMessage::Hashed(_) => Err("usize found, hashed expected".to_string()),
                HashableMessage::HashedOfLength(_) => {
                    Err("usize found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::String(cal) => match expected {
                HashableMessage::ByteArray(_) => {
                    Err("string found, ByteArray expected".to_string())
                }
                HashableMessage::Integer(_) => Err("string found, Integer expected".to_string()),
                HashableMessage::USize(_) => Err("string found, usize expected".to_string()),
                HashableMessage::String(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
                HashableMessage::Composite(_) => {
                    Err("string found, composite expected".to_string())
                }
                HashableMessage::Hashed(_) => Err("string found, hashed expected".to_string()),
                HashableMessage::HashedOfLength(_) => {
                    Err("string found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::Composite(cal) => match expected {
                HashableMessage::ByteArray(_) => {
                    Err("Composite found, ByteArray expected".to_string())
                }
                HashableMessage::Integer(_) => Err("Composite found, Integer expected".to_string()),
                HashableMessage::USize(_) => Err("Composite found, usize expected".to_string()),
                HashableMessage::String(_) => Err("Composite found, string expected".to_string()),
                HashableMessage::Composite(exp) => match cal.len() == exp.len() {
                    false => Err(format!(
                        "Composite has length {} and expected has length {}",
                        cal.len(),
                        exp.len()
                    )),
                    true => cal
                        .iter()
                        .zip(exp.iter())
                        .enumerate()
                        .try_for_each(|(i, (c, e))| {
                            c.as_ref()
                                .compare_to(e.as_ref(), Some(deep + 1))
                                .map_err(|s| format!("{s} (at position {i})"))
                        }),
                },
                HashableMessage::Hashed(_) => Err("Composite found, hashed expected".to_string()),
                HashableMessage::HashedOfLength(_) => {
                    Err("Composite found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::Hashed(cal) => match expected {
                HashableMessage::ByteArray(_) => {
                    Err("hashed found, ByteArray expected".to_string())
                }
                HashableMessage::Integer(_) => Err("hashed found, Integer expected".to_string()),
                HashableMessage::USize(_) => Err("hashed found, usize expected".to_string()),
                HashableMessage::String(_) => Err("hashed found, string expected".to_string()),
                HashableMessage::Composite(_) => {
                    Err("hashed found, composite expected".to_string())
                }
                HashableMessage::Hashed(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
                HashableMessage::HashedOfLength(_) => {
                    Err("hashed found, hashed_of_length expected".to_string())
                }
            },
            HashableMessage::HashedOfLength(cal) => match expected {
                HashableMessage::ByteArray(_) => {
                    Err("hashed_of_length found, ByteArray expected".to_string())
                }
                HashableMessage::Integer(_) => {
                    Err("hashed_of_length found, Integer expected".to_string())
                }
                HashableMessage::USize(_) => {
                    Err("hashed_of_length found, usize expected".to_string())
                }
                HashableMessage::String(_) => {
                    Err("hashed_of_length found, string expected".to_string())
                }
                HashableMessage::Composite(_) => {
                    Err("hashed_of_length found, composite expected".to_string())
                }
                HashableMessage::Hashed(_) => {
                    Err("hashed_of_length found, hashed expected".to_string())
                }
                HashableMessage::HashedOfLength(exp) => match cal == exp {
                    false => Err(format!("{cal:?} != {exp:?}")),
                    true => Ok(()),
                },
            },
        };
        res.map_err(|s| format!("Match error at deepness {deep} -> {s}"))
    }
}

impl RecursiveHashTrait for HashableMessage<'_> {
    type Error = HashError;

    fn recursive_hash(&self) -> Result<ByteArray, HashError> {
        let b = self.to_hashable_byte_array()?;
        Ok(match self.is_hashed() {
            true => b,
            false => sha3_256(&b).map_err(|e| HashErrorRepr::SHA3256 { source: e })?,
        })
    }

    fn recursive_hash_of_length(&self, length: usize) -> Result<ByteArray, HashError> {
        let mut upper_l = length / 8;
        if !length.is_multiple_of(8) {
            upper_l += 1;
        }
        let b = self.to_hashable_byte_array_of_length(length)?;
        Ok(match self.is_hashed() {
            true => b,
            false => shake256(&b, upper_l)
                .map_err(|e| HashErrorRepr::Shake256 { source: e })?
                .cut_bit_length(length)
                .map_err(|e| HashErrorRepr::BitLen { source: e })?,
        })
    }

    fn recursive_hash_to_zq(&self, q: &Integer) -> Result<Integer, HashError> {
        let length = GROUP_PARAMETER_Q_LENGTH + 2 * SECURITY_STRENGTH;
        let hashable_q = HashableMessage::from(q.clone());
        let hashable_message = HashableMessage::from("RecursiveHash".to_string());
        //let hash_self = HashableMessage::HashedOfLength(self.recursive_hash_of_length(length)?);
        let mut parameters = vec![&hashable_q, &hashable_message];
        let values = match self {
            HashableMessage::Composite(v) => v
                .iter()
                .map(|e| {
                    e.recursive_hash_of_length(length)
                        .map(HashableMessage::HashedOfLength)
                })
                .collect::<Result<Vec<_>, _>>()?,
            _ => vec![HashableMessage::HashedOfLength(
                self.recursive_hash_of_length(length)?,
            )],
        };
        parameters.extend(values.iter());

        let h_prime = HashableMessage::from(parameters)
            .recursive_hash_of_length(length)?
            .into_integer();
        Ok(h_prime.modulo(q))
    }
}

impl<'a> From<&'a ByteArray> for HashableMessage<'a> {
    fn from(value: &'a ByteArray) -> Self {
        Self::ByteArray(Cow::Borrowed(value))
    }
}

impl From<ByteArray> for HashableMessage<'_> {
    fn from(value: ByteArray) -> Self {
        Self::ByteArray(Cow::Owned(value))
    }
}

impl<'a> From<&'a Integer> for HashableMessage<'a> {
    fn from(value: &'a Integer) -> Self {
        Self::Integer(Cow::Borrowed(value))
    }
}

impl From<Integer> for HashableMessage<'_> {
    fn from(value: Integer) -> Self {
        Self::Integer(Cow::Owned(value))
    }
}

impl<'a> From<&'a usize> for HashableMessage<'a> {
    fn from(value: &'a usize) -> Self {
        Self::USize(Cow::Borrowed(value))
    }
}

impl From<usize> for HashableMessage<'_> {
    fn from(value: usize) -> Self {
        Self::USize(Cow::Owned(value))
    }
}

impl<'a> From<&'a String> for HashableMessage<'a> {
    fn from(value: &'a String) -> Self {
        Self::String(Cow::Borrowed(value))
    }
}

impl From<String> for HashableMessage<'_> {
    fn from(value: String) -> Self {
        Self::String(Cow::Owned(value))
    }
}

impl<'a> From<&'a str> for HashableMessage<'a> {
    fn from(value: &'a str) -> Self {
        Self::String(Cow::Borrowed(value))
    }
}

impl From<bool> for HashableMessage<'_> {
    fn from(value: bool) -> Self {
        match value {
            true => Self::from("true".to_string()),
            false => Self::from("false".to_string()),
        }
    }
}

impl From<Vec<Self>> for HashableMessage<'_> {
    fn from(value: Vec<Self>) -> Self {
        Self::Composite(value.into_iter().map(Cow::Owned).collect::<Vec<_>>())
    }
}
impl<'a> From<&'a Vec<Self>> for HashableMessage<'a> {
    fn from(value: &'a Vec<Self>) -> Self {
        Self::Composite(value.iter().map(Cow::Borrowed).collect::<Vec<_>>())
    }
}

impl<'a> From<Vec<&'a Self>> for HashableMessage<'a> {
    fn from(value: Vec<&'a Self>) -> Self {
        Self::Composite(value.iter().map(|&h| Cow::Borrowed(h)).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [String]> for HashableMessage<'a> {
    fn from(value: &'a [String]) -> Self {
        Self::from(value.iter().map(Self::from).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [&'a str]> for HashableMessage<'a> {
    fn from(value: &'a [&'a str]) -> Self {
        Self::from(value.iter().map(|s| Self::from(*s)).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [&'a String]> for HashableMessage<'a> {
    fn from(value: &'a [&'a String]) -> Self {
        Self::from(
            value
                .iter()
                .map(|&s| Self::from(s.as_str()))
                .collect::<Vec<_>>(),
        )
    }
}

impl<'a> From<&'a [ByteArray]> for HashableMessage<'a> {
    fn from(value: &'a [ByteArray]) -> Self {
        Self::from(value.iter().map(Self::from).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [Integer]> for HashableMessage<'a> {
    fn from(value: &'a [Integer]) -> Self {
        Self::from(value.iter().map(Self::from).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [&'a Integer]> for HashableMessage<'a> {
    fn from(value: &'a [&'a Integer]) -> Self {
        Self::from(value.iter().map(|&n| Self::from(n)).collect::<Vec<_>>())
    }
}

impl<'a> From<Vec<&'a Integer>> for HashableMessage<'a> {
    fn from(value: Vec<&'a Integer>) -> Self {
        Self::from(
            value
                .iter()
                .map(|n| HashableMessage::from(*n))
                .collect::<Vec<_>>(),
        )
    }
}

impl<'a> From<&'a [usize]> for HashableMessage<'a> {
    fn from(value: &'a [usize]) -> Self {
        Self::from(value.iter().map(HashableMessage::from).collect::<Vec<_>>())
    }
}

impl<'a> From<&'a [Vec<Integer>]> for HashableMessage<'a> {
    fn from(value: &'a [Vec<Integer>]) -> Self {
        Self::from(
            value
                .iter()
                .map(|v| Self::from(v.as_slice()))
                .collect::<Vec<_>>(),
        )
    }
}

impl<'a> From<&'a [Vec<usize>]> for HashableMessage<'a> {
    fn from(value: &'a [Vec<usize>]) -> Self {
        Self::from(
            value
                .iter()
                .map(|v| Self::from(v.as_slice()))
                .collect::<Vec<_>>(),
        )
    }
}

impl<'a> From<&'a [Vec<String>]> for HashableMessage<'a> {
    fn from(value: &'a [Vec<String>]) -> Self {
        Self::from(
            value
                .iter()
                .map(|v| Self::from(v.as_slice()))
                .collect::<Vec<_>>(),
        )
    }
}

#[cfg(test)]
mod test {
    use super::super::{byte_array::DecodeTrait, integer::Hexa};
    use super::*;

    #[test]
    fn test_simple_byte_array() {
        let b = ByteArray::base64_decode(
            "t+FRYortKmq/cViAnPTzx2LnFg84tNpWp4TZBFGQz+8yTnc4kmz75fS/jY2MMddj2gbICrsRhetPfHtXV/WVhJDP1H18GbtCFY2VVPe0a87VXE15/V8k1mE8McODmi3fipona8+/och3xWKE2rec1MKzKT0g6eXq8CrGCsyT7YdEIqUuyyOP7uWrat2DX9GgdT0Kj3jlN9K5W7edjcrsZCwenyO4KbXCeAvzhzffi7MA0BM0oNC9hkXL+nOmFg/+OTxIy7vKBg8P+OxtMb61zO7X8vC7CIAXFjvGDfRaDssbzSibBsu/6iGtCOGEfz9zeNVs7ZRkDW7w09N75p0AYw=="
        ).unwrap();
        let r = HashableMessage::from(&b).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("0SHVZ9hTTmR+NRhanLPF/qPg3NmQbXyAzLYw9QVxYOg=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_string() {
        let s = "test string".to_string();
        let r = HashableMessage::from(&s).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("m1a11iWW/Tcihy/IChyY51AO8UdZe48f5oRFh7RL+JQ=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_integer() {
        let i = Integer::base64_decode(
            "ALfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhPDHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohrQjhhH8/c3jVbO2UZA1u8NPTe+adAGM="
        ).unwrap();
        let r = HashableMessage::from(&i).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("YXHR0NvojiUMGz7RCTcO48ZQ1uqRtS64goB6XMFW01E=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_str() {
        let r = HashableMessage::from("test string")
            .recursive_hash()
            .unwrap();
        let e = ByteArray::base64_decode("m1a11iWW/Tcihy/IChyY51AO8UdZe48f5oRFh7RL+JQ=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_integer_list() {
        let inputs = Integer::base_64_decode_vector(&[
            "Qa/xfaf2EVD8vCIeJtW77B9UCjo/ExBvtF6w58MwwQirM4xSUiCh0tIOt3xkLn82CHmntCvS0ZGJH1qM2+eFhAen55RaNRiwzImgW9OmH9CCNeBgjwrWeKmaOFpmiVOlWRd4zr/Mjjr29g26J3MgpYQj+kNr6qze4tWizehgYLqM9b5wxEGOZ7J//rlnQv5lRsDtUzGRt4v4jIYF2azyEgFssXNbHsLswUkbc7gqWzSNtwqH/gGZiZZYzNGYzFPH3XdNOGpEhnu2Xv9nBKbdFK1GKxOEe5Mv5CWMcPX8IJlv2bIJPsD9hJBwtd3d90G43++5cs/+OpHneMvt46nOHQ==",
            "NehUBzUAhJyygHsJPV+GF2UzsE3YEwnXcaZGEGTkpuK39GTQUC6fLi9a16tOIlAl5lqYzu4pBshhWOfEMsT1ChSc0xpsF8oaAA7IebXMDvjoJe+Lg9QRHYq1n8qzRpTxEvXTwlJ/kSGlDJXZddNlOXKp8Xv/uibVQlCOxXJ0ICzP94frxeLonz6+v/F0GbkzjUe/dFkBvkPUoTL8UDydB9fD08NdMDzYbA9EsTjhFsqnKy3v2m1WvoQbmAcy6umGcQiCFD2uOF7hgySH+CSnq0BN/fqQO+vfx2gs6NCPd7N+Owq5n0DKwroO6Lb2TeS6NWiiI1mxFK5WBla49Z0DVw==",
            "AKKhHCA/QxrnEzhc319zRu9aXot7jPlxyUcDOXjPX3Jjk41rVnVLr7vPj8Clyy4K8C2EM4gzJnROaSR/BXimiKQiUDbx0i1pKtoMlRXD3ikHl74OdvsEycF++W5l9jIyn8hclVyCik313xGWKz4k8yt/h8R8BJb0fs93wkxDN0C007zgd6fO7k7uLkuNIebbIcBSMescsD1nnQ0LXZ570gX5Zn/mwYYn4AYZGph+VHHnPVV7M/rRbTfAtRbTlI/ltGkM4mBZ5vyLWFPuWu2ZtjRSBszVKQzgrClxY/VwWKHs6HGPvo2rnCxTItVyahZ0jz8lm4f7ALHVTdsGPH27j/Q="
        ]).unwrap();
        let r = HashableMessage::from(inputs.as_slice())
            .recursive_hash()
            .unwrap();
        let e = ByteArray::base64_decode("Qn1sWr2uZ87jwjeEoJa9zS6dc6S92oC0X83yxpyv2ZA=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_integer_list_len1() {
        let inputs = Integer::base_64_decode_vector(&[
            "AKTZsLSB+wMHPks+7oYvoqpmeu033SAf9B94YWbJjQGrPO7QJJ+h8S8j3vIDqYxTopT13hpUqY6qNvcjIzb9/onyithniby2e15Br/nObuVjmhK3Y9KhcOC4IIg4B5piKxH8fc2sPeF4gD52cCj+tgfClUg0qKU7QAiU4s91kdnmjLmH0rXwXFp5mjilE+U8RR5t90bFwy+6/prta4oXIqwV1A8codrF8FhhiClRSBHxNRahikFC0baYMIA6SRComlk4SR91r+nAesE4zLm1SIFHlKe1puTyLNI2X+1QEaHn3SaVWVjIqfze4xucaqu2tQzI5ZUUT0zMr/x0ZW2hNeM="
        ]).unwrap();
        let r = HashableMessage::from(inputs.as_slice())
            .recursive_hash()
            .unwrap();
        let e = ByteArray::base64_decode("+e9LVZg0L5uHLbnUv8pIVVm28y+QZMtfG1edAFx2oPM=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_mix_content() {
        let mut l: Vec<HashableMessage> = vec![];
        l.push(HashableMessage::from("common reference string"));
        let bi1 = Integer::base64_decode(
            "ALfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhPDHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohrQjhhH8/c3jVbO2UZA1u8NPTe+adAGM="
        ).unwrap();
        l.push(HashableMessage::from(&bi1));
        let bi2 = Integer::base64_decode(
            "W/CosUV2lTVfuKxATnp547FziwecWm0rU8JsgijIZ/eZJzucSTZ98vpfxsbGGOux7QNkBV2IwvWnvj2rq/rKwkhn6j6+DN2hCsbKqnvaNedqria8/q+SazCeGOHBzRbvxU0Tteff0OQ74rFCbVvOamFZlJ6QdPL1eBVjBWZJ9sOiEVKXZZHH93LVtW7Br+jQOp6FR7xym+lcrdvOxuV2MhYPT5HcFNrhPAX5w5vvxdmAaAmaUGhewyLl/TnTCwf/HJ4kZd3lAweH/HY2mN9a5ndr+XhdhEALix3jBvotB2WN5pRNg2Xf9RDWhHDCP5+5vGq2dsoyBrd4aem9806AMQ=="
        ).unwrap();
        l.push(HashableMessage::from(&bi2));
        let ba = ByteArray::base64_decode("YcOpYm5zaXRwcSBi").unwrap();
        l.push(HashableMessage::from(&ba));
        let r = HashableMessage::from(l).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("rHGUCWqWKTj9KBY3GgSeNEXZfraTDK+ZGIhlSxpVs5c=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_mixed_content_nested() {
        let mut nl: Vec<HashableMessage> = vec![];
        let bu1 = Integer::base64_decode("BA==").unwrap();
        nl.push(HashableMessage::from(&bu1));
        let bu2 = Integer::base64_decode(
            "OJbQWlJ3R+hAzrChBFTeOZVVKSl6xMshAQ6Sh6Ifgm+nIhIV4cfug2IiPfUSFaf0zRTxWJgBVO4HlLWZY5pvvBcal/N2pN2VlFxHbw3Gg2/OpoybKPkBzn8w3AP0BpR+YkW/dBZQ9RZL/CT0sjlIpdZkLDbWEBbmPpQ9uXFzNe6wQ3O/rhC7T7IOqf0b5IypoCuOjGY5rY5D1xTtFtR2TSWOmnC6vVSXwJ4UgFLBxqll8Y9x97AzhReLSZGqeQYR+juY6cLx7h4DafSWodaSjXGGUFE0OdAYmKq4e8lo922duAiYCRQqDHmoTGidAjFM7eZPTJYVt51J0r5kG+jUqw=="
        ).unwrap();
        nl.push(HashableMessage::from(&bu2));
        let mut l: Vec<HashableMessage> = vec![];
        l.push(HashableMessage::from("common reference string"));
        let bi1 = Integer::base64_decode(
            "ALfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhPDHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohrQjhhH8/c3jVbO2UZA1u8NPTe+adAGM="
        ).unwrap();
        l.push(HashableMessage::from(&bi1));
        let bi2 = Integer::base64_decode(
            "W/CosUV2lTVfuKxATnp547FziwecWm0rU8JsgijIZ/eZJzucSTZ98vpfxsbGGOux7QNkBV2IwvWnvj2rq/rKwkhn6j6+DN2hCsbKqnvaNedqria8/q+SazCeGOHBzRbvxU0Tteff0OQ74rFCbVvOamFZlJ6QdPL1eBVjBWZJ9sOiEVKXZZHH93LVtW7Br+jQOp6FR7xym+lcrdvOxuV2MhYPT5HcFNrhPAX5w5vvxdmAaAmaUGhewyLl/TnTCwf/HJ4kZd3lAweH/HY2mN9a5ndr+XhdhEALix3jBvotB2WN5pRNg2Xf9RDWhHDCP5+5vGq2dsoyBrd4aem9806AMQ=="
        ).unwrap();
        l.push(HashableMessage::from(&bi2));
        let ba = ByteArray::base64_decode("YcOpYm5zaXRwcSBi").unwrap();
        l.push(HashableMessage::from(&ba));
        l.push(HashableMessage::from(nl));
        let r = HashableMessage::from(l).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("HYq9bWhqsm+/Sh8omWJGg2om5sQ2zosPIEhaIQ2m9GE=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_mixed_content_nested2() {
        let mut nl: Vec<HashableMessage> = vec![];
        let n = 4;
        nl.push(HashableMessage::from(&n));
        let bu2 = Integer::from_hexa_string(
            "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
        ).unwrap();
        nl.push(HashableMessage::from(&bu2));
        let mut l: Vec<HashableMessage> = vec![];
        l.push(HashableMessage::from("common reference string"));
        let bi1 = Integer::base64_decode(
            "ALfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhPDHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohrQjhhH8/c3jVbO2UZA1u8NPTe+adAGM="
        ).unwrap();
        l.push(HashableMessage::from(&bi1));
        let bi2 = Integer::base64_decode(
            "W/CosUV2lTVfuKxATnp547FziwecWm0rU8JsgijIZ/eZJzucSTZ98vpfxsbGGOux7QNkBV2IwvWnvj2rq/rKwkhn6j6+DN2hCsbKqnvaNedqria8/q+SazCeGOHBzRbvxU0Tteff0OQ74rFCbVvOamFZlJ6QdPL1eBVjBWZJ9sOiEVKXZZHH93LVtW7Br+jQOp6FR7xym+lcrdvOxuV2MhYPT5HcFNrhPAX5w5vvxdmAaAmaUGhewyLl/TnTCwf/HJ4kZd3lAweH/HY2mN9a5ndr+XhdhEALix3jBvotB2WN5pRNg2Xf9RDWhHDCP5+5vGq2dsoyBrd4aem9806AMQ=="
        ).unwrap();
        l.push(HashableMessage::from(&bi2));
        let ba = ByteArray::base64_decode("YcOpYm5zaXRwcSBi").unwrap();
        l.push(HashableMessage::from(&ba));
        l.push(HashableMessage::from(nl));
        let r = HashableMessage::from(l).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("HYq9bWhqsm+/Sh8omWJGg2om5sQ2zosPIEhaIQ2m9GE=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_hashed() {
        let mut nl: Vec<HashableMessage> = vec![];
        let bu1 = Integer::base64_decode("BA==").unwrap();
        nl.push(HashableMessage::Hashed(
            HashableMessage::from(&bu1).recursive_hash().unwrap(),
        ));
        let bu2 = Integer::base64_decode(
            "OJbQWlJ3R+hAzrChBFTeOZVVKSl6xMshAQ6Sh6Ifgm+nIhIV4cfug2IiPfUSFaf0zRTxWJgBVO4HlLWZY5pvvBcal/N2pN2VlFxHbw3Gg2/OpoybKPkBzn8w3AP0BpR+YkW/dBZQ9RZL/CT0sjlIpdZkLDbWEBbmPpQ9uXFzNe6wQ3O/rhC7T7IOqf0b5IypoCuOjGY5rY5D1xTtFtR2TSWOmnC6vVSXwJ4UgFLBxqll8Y9x97AzhReLSZGqeQYR+juY6cLx7h4DafSWodaSjXGGUFE0OdAYmKq4e8lo922duAiYCRQqDHmoTGidAjFM7eZPTJYVt51J0r5kG+jUqw=="
        ).unwrap();
        nl.push(HashableMessage::from(&bu2));
        let mut l: Vec<HashableMessage> = vec![];
        l.push(HashableMessage::from("common reference string"));
        let bi1 = Integer::base64_decode(
            "ALfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhPDHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohrQjhhH8/c3jVbO2UZA1u8NPTe+adAGM="
        ).unwrap();
        l.push(HashableMessage::from(&bi1));
        let bi2 = Integer::base64_decode(
            "W/CosUV2lTVfuKxATnp547FziwecWm0rU8JsgijIZ/eZJzucSTZ98vpfxsbGGOux7QNkBV2IwvWnvj2rq/rKwkhn6j6+DN2hCsbKqnvaNedqria8/q+SazCeGOHBzRbvxU0Tteff0OQ74rFCbVvOamFZlJ6QdPL1eBVjBWZJ9sOiEVKXZZHH93LVtW7Br+jQOp6FR7xym+lcrdvOxuV2MhYPT5HcFNrhPAX5w5vvxdmAaAmaUGhewyLl/TnTCwf/HJ4kZd3lAweH/HY2mN9a5ndr+XhdhEALix3jBvotB2WN5pRNg2Xf9RDWhHDCP5+5vGq2dsoyBrd4aem9806AMQ=="
        ).unwrap();
        l.push(HashableMessage::from(&bi2));
        let ba = ByteArray::base64_decode("YcOpYm5zaXRwcSBi").unwrap();
        l.push(HashableMessage::from(&ba));
        l.push(HashableMessage::from(nl));
        let r = HashableMessage::from(l).recursive_hash().unwrap();
        let e = ByteArray::base64_decode("HYq9bWhqsm+/Sh8omWJGg2om5sQ2zosPIEhaIQ2m9GE=").unwrap();
        assert_eq!(r, e);
    }

    #[test]
    fn test_vec_vec_integer() {
        let data = vec![
            vec![Integer::from(2u8)],
            vec![Integer::from(3u8), Integer::from(4u8)],
            vec![Integer::from(5u8)],
        ];
        let mut res: Vec<HashableMessage> = vec![];
        let v1 = vec![Integer::from(2u8)];
        let v2 = vec![Integer::from(3u8), Integer::from(4u8)];
        let v3 = vec![Integer::from(5u8)];
        res.push(HashableMessage::from(v1.as_slice()));
        res.push(HashableMessage::from(v2.as_slice()));
        res.push(HashableMessage::from(v3.as_slice()));
        assert_eq!(
            HashableMessage::from(data.as_slice()),
            HashableMessage::from(res)
        )
    }

    #[test]
    fn test_zq_string() {
        let q = Integer::from_hexa_string(
            "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
        ).unwrap();
        let s = "test string".to_string();
        let r = HashableMessage::from(&s).recursive_hash_to_zq(&q).unwrap();
        let e = Integer::from_hexa_string(
            "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
        ).unwrap();
        assert_eq!(r, e)
    }

    #[test]
    fn test_zq_bytearray() {
        let q = Integer::from_hexa_string(
            "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
        ).unwrap();
        let s = ByteArray::base64_decode("q83vASNFZ4k=").unwrap();
        let r = HashableMessage::from(&s).recursive_hash_to_zq(&q).unwrap();
        let e = Integer::from_hexa_string(
            "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
        ).unwrap();
        assert_eq!(r, e)
    }

    #[test]
    fn test_zq_integer() {
        let q = Integer::from_hexa_string(
            "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
        ).unwrap();
        let s = Integer::from_hexa_string(
            "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
        ).unwrap();
        let r = HashableMessage::from(&s).recursive_hash_to_zq(&q).unwrap();
        let e = Integer::from_hexa_string(
            "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
        ).unwrap();
        assert_eq!(r, e)
    }

    #[test]
    fn test_zq_mixed_content() {
        let q = Integer::from_hexa_string(
            "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
        ).unwrap();
        let v = vec![
            HashableMessage::from("test string".to_string()),
            HashableMessage::from(ByteArray::base64_decode("q83vASNFZ4k=").unwrap()),
            HashableMessage::from(
                Integer::from_hexa_string(
                    "0x12956ABFFD9522888502E77884C7DF9D659BF4F93D908E01E04B56693E7A73D75AB513F16F805F70FE3D20404273E4E1611893C682EA1AE50E1C56A83F6ECC1A8580AE96568CD7412B6D70F9B1979CF52CAD3D2DDD9BCF8C3DB027E1E0B316B0B94D753CADC38F179888365382964006CF4EF543FDE8C2A4F138933502A250E98D0B13B871EE046E8A4656D2C5563A910E613D603E3A5DEFC941062530C0B0F02DBA35C1CEE7FF33E62E617B20BAC3499E33BA66BAC64A4D5EB63683089781BA0ECF82557164535ECDC8E26FE104ECF458D81BD25D55FB12B533B940C73D36F903FD4A5993A7535C62B00E2886816BB642F832D98DE8081853979652476331E52EB5FB9BC62081121748896623638FA4F5397FB1B203774F247B4A7A6350A671B2AE37CBCAC931DE417047E38C2218BD8EC4909E7D41B30A5D5E9C9788A7E866FA5FFAB69E0E815BFFB3F244503DE422F962B61C6881FFC3A4D027C4C1C4F285CAD46C6B4F25D2DCA2D81316E9C86623E5C71C56C0BDCC9C9C8E074BC5A3B746"
                ).unwrap()
            )
        ];
        let r = HashableMessage::from(&v).recursive_hash_to_zq(&q).unwrap();
        let e = Integer::from_hexa_string(
            "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
        ).unwrap();
        assert_eq!(r, e)
    }

    #[test]
    fn test_zq_nested_mixed_content() {
        let q = Integer::from_hexa_string(
            "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
        ).unwrap();
        let s = vec![
            HashableMessage::from("test string".to_string()),
            HashableMessage::from(
                vec![
                    HashableMessage::from(ByteArray::base64_decode("q83vASNFZ4k=").unwrap()),
                    HashableMessage::from(
                        Integer::from_hexa_string(
                            "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
                        ).unwrap()
                    )
                ]
            )
        ];
        let r = HashableMessage::from(&s).recursive_hash_to_zq(&q).unwrap();
        let e = Integer::from_hexa_string(
            "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
        ).unwrap();
        assert_eq!(r, e)
    }
}