├── .gitignore
├── Cargo.lock
├── Cargo.toml
├── README.md
└── src
    ├── lib.rs
    ├── main.rs
    ├── mod.rs
    ├── models
        ├── base_model.rs
        ├── mod.rs
        └── rmm_01.rs
    └── plots.rs


/.gitignore:
--------------------------------------------------------------------------------
1 | /target
2 | 
3 | plot.html


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--------------------------------------------------------------------------------
/Cargo.toml:
--------------------------------------------------------------------------------
 1 | [package]
 2 | name = "m3-rs"
 3 | version = "0.1.0"
 4 | edition = "2021"
 5 | 
 6 | [lib]
 7 | name = "m3_rs"
 8 | path = "src/lib.rs"
 9 | 
10 | # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
11 | 
12 | [dependencies]
13 | alloy-dyn-abi = "0.1.0"
14 | alloy-json-abi = "0.1.0"
15 | alloy-primitives = "0.2.0"
16 | alloy-rlp = "0.2.0"
17 | alloy-rlp-derive = "0.2.0"
18 | alloy-sol-macro = "0.2.0"
19 | alloy-sol-types = "0.2.0"
20 | ethers = "2.0.7"
21 | hex-literal = "0.4.1"
22 | itertools-num = "0.1.3"
23 | mentat = "0.0.4"
24 | statrs = "0.16.0"
25 | tokio = { version = "1", features = ["full"] }
26 | visualize = {git = "https://github.com/primitivefinance/visualization-rs", branch = "main"}
27 | 
28 | 


--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
 1 | # M3-rs
 2 | 
 3 | Constant function market makers are a class of automated market making strategies implemented via smart contracts on blockchain networks like Ethereum. 
 4 | M3-rs is a Rust interface for interacting with these models and their properties, such as the amount of assets that can be sold at a price.
 5 | 
 6 | # Install
 7 | ```
 8 | Add to Cargo.toml:
 9 | m3-rs = { git = "https://github.com/primitivefinance/m3-rs" }
10 | ```
11 | 
12 | # Usage
13 | 
14 | 
15 | ```rust
16 | use m3_rs::{...};
17 | 
18 | fn main() {
19 |     // Create a base model
20 |     let mut base = BaseModel::new(
21 |         "base_model_name".to_string(),
22 |         "base_model_version".to_string(),
23 |         "base_model_code".to_string(),
24 |         "base_model_id".to_string(),
25 |     );
26 | 
27 |     // Set it's objective, i.e. the model.
28 |     base.set_objective(Box::new(RMM01 {
29 |         strike: 1_f64,
30 |         volatility: 1_f64,
31 |         time_to_maturity: 1.0,
32 |     }))
33 | 
34 |     // Use the functions in plot.rs to plot different derived data using these models.
35 | } 
36 | ```


--------------------------------------------------------------------------------
/src/lib.rs:
--------------------------------------------------------------------------------
1 | pub mod models;
2 | pub mod plots;


--------------------------------------------------------------------------------
/src/main.rs:
--------------------------------------------------------------------------------
 1 | /// External
 2 | use ethers::prelude::*;
 3 | use itertools_num::linspace;
 4 | use visualize::{design::*, plot::*};
 5 | /// Local
 6 | mod plots;
 7 | mod models;
 8 | use models::rmm_01::*;
 9 | use models::base_model::*;
10 | use plots::*;
11 | 
12 | const RPC_URL: &str = "https://eth.llamarpc.com";
13 | 
14 | /// tokio
15 | #[tokio::main]
16 | async fn main() -> Result<(), Box<dyn std::error::Error>> {
17 |     let provider = Provider::<Http>::try_from(RPC_URL)?;
18 |     let block_number: U64 = provider.get_block_number().await?;
19 |     println!("{block_number}");
20 | 
21 |     // Instantiate the model with it's identifying parameters
22 |     let mut fund = BaseModel::new(
23 |         "RMM01".to_string(),
24 |         "0.0.1".to_string(),
25 |         "1".to_string(),
26 |         "1".to_string(),
27 |     );
28 | 
29 |     // Set it's objective using a chosen model and model parameters.
30 |     fund.set_objective(Box::new(RMM01 {
31 |         strike: 1_f64,
32 |         volatility: 0.1_f64,
33 |         time_to_maturity: 1.0,
34 |     }));
35 | 
36 |     // This example plots the liquidity density over a range of prices, using visualize-rs and the functions in the plot.rs module.
37 |     let price_start = 0.0_f64;
38 |     let price_end = 20.0_f64;
39 |     let number_of_prices = 1000;
40 |     let prices = linspace(price_start, price_end, number_of_prices).collect::<Vec<f64>>();
41 | 
42 |     let display = Display {
43 |         transparent: false,
44 |         mode: DisplayMode::Light,
45 |         show: false,
46 |     };
47 |     plot_liquidity_density(fund, display, prices);
48 | 
49 |     Ok(())
50 | }
51 | 


--------------------------------------------------------------------------------
/src/mod.rs:
--------------------------------------------------------------------------------
1 | mod models;
2 | mod plots;


--------------------------------------------------------------------------------
/src/models/base_model.rs:
--------------------------------------------------------------------------------
 1 | use std::fmt::Display;
 2 | 
 3 | /// Abstraction for a pool of capital managed by a smart contract.
 4 | ///
 5 | /// For autonomous market making smart contracts, the pools
 6 | /// are responsible for holding the assets and executing trades.
 7 | /// These pools have implied properties that this abstraction will expose.
 8 | ///
 9 | /// * `name` - The human readable name of the pool.
10 | /// * `version` - The version of the pool.
11 | /// * `code` - A ticker to identify the pool short hand.
12 | /// * `id` - A unique pool identifier.
13 | pub struct BaseModel {
14 |     pub name: String,
15 |     pub version: String,
16 |     pub code: String,
17 |     pub id: String,
18 |     pub objective: Option<Box<dyn Objective>>,
19 |     pub x: f64,
20 |     pub y: f64,
21 | }
22 | 
23 | #[derive(Debug)]
24 | pub struct PriceRange {
25 |     pub lower: f64,
26 |     pub upper: f64,
27 | }
28 | 
29 | pub trait Objective {
30 |     fn describe(&self) -> String;
31 |     fn get_reported_price(&self) -> f64;
32 |     fn get_liquidity_density(&self, prices: Vec<f64>) -> Vec<f64>;
33 |     fn get_virtual_price_range(&self) -> PriceRange;
34 |     fn get_trading_curve(&self, prices: Vec<f64>, scaling: Option<f64>) -> (Vec<f64>, Vec<f64>);
35 | }
36 | 
37 | pub trait ObjectiveDisplay {
38 |     fn plot_liquidity_density(&self, display: dyn Display, prices: Vec<f64>);
39 | }
40 | 
41 | /// Implementing the class
42 | impl BaseModel {
43 |     pub fn new(name: String, version: String, code: String, id: String) -> BaseModel {
44 |         BaseModel {
45 |             name,
46 |             version,
47 |             code,
48 |             id,
49 |             objective: None,
50 |             x: 0.0,
51 |             y: 0.0,
52 |         }
53 |     }
54 | 
55 |     pub fn set_objective(&mut self, objective: Box<dyn Objective>) {
56 |         self.objective = Some(objective);
57 |     }
58 | }
59 | 
60 | impl Default for BaseModel {
61 |     fn default() -> Self {
62 |         BaseModel {
63 |             name: "default".to_string(),
64 |             version: "default".to_string(),
65 |             code: "default".to_string(),
66 |             id: "default".to_string(),
67 |             objective: None,
68 |             x: 0.0,
69 |             y: 0.0,
70 |         }
71 |     }
72 | }
73 | 


--------------------------------------------------------------------------------
/src/models/mod.rs:
--------------------------------------------------------------------------------
1 | pub mod base_model;
2 | pub mod rmm_01;


--------------------------------------------------------------------------------
/src/models/rmm_01.rs:
--------------------------------------------------------------------------------
 1 | /// math
 2 | use visualize::functions::*;
 3 | use statrs::distribution::{ContinuousCDF, Normal as NormalDist};
 4 | /// models
 5 | use crate::models::base_model::*;
 6 | 
 7 | 
 8 | /// Parameters for the RMM01 model.
 9 | pub struct RMM01 {
10 |     pub strike: f64,
11 |     pub volatility: f64,
12 |     pub time_to_maturity: f64,
13 | }
14 | 
15 | impl Objective for RMM01 {
16 |     fn describe(&self) -> String {
17 |         format!(
18 |             "RMM01: strike: {}, volatility: {}, time_to_maturity: {}",
19 |             self.strike, self.volatility, self.time_to_maturity
20 |         )
21 |     }
22 | 
23 |     fn get_liquidity_density(&self, prices: Vec<f64>) -> Vec<f64> {
24 |         liquidity_distribution(prices, self.strike, self.volatility, self.time_to_maturity)
25 |     }
26 | 
27 |     fn get_reported_price(&self) -> f64 {
28 |         reported_price(self.strike, self.volatility, self.time_to_maturity)
29 |     }
30 | 
31 |     fn get_virtual_price_range(&self) -> PriceRange {
32 |         PriceRange {
33 |             lower: 0.0,
34 |             upper: 0.0,
35 |         }
36 |     }
37 | 
38 |     fn get_trading_curve(&self, prices: Vec<f64>, scaling: Option<f64>) -> (Vec<f64>, Vec<f64>) {
39 |         trading_function(prices, self.strike, self.volatility, self.time_to_maturity, scaling)
40 |     }
41 | }
42 | 
43 | /// Fetches the liquidity distribution of a pool that uses the RMM01 model.
44 | /// Returns a vector of x and y coordinates.
45 | pub fn liquidity_distribution(prices: Vec<f64>, strike: f64, volatility: f64, tau: f64) -> Vec<f64> {
46 |     let mut y_coordinates = Vec::new(); // Liquidity densities
47 | 
48 |     // Compute the liquidity density at each price
49 |     // Probability density function = f(x)
50 |     // f(d_1), where d1 = (ln(S/K) + (r + σ^2/2)τ) / (σ√τ)
51 |     let pdf_of_d_one = standard_gaussian_pdf(d_one(prices.clone(), strike, volatility, tau));
52 | 
53 |     // f(d_1) / σ√τ
54 |     let density_over_vol = pdf_of_d_one
55 |         .iter()
56 |         .map(|output| output / (volatility * tau.sqrt()))
57 |         .collect::<Vec<f64>>();
58 | 
59 |     // For each price, compute the liquidity density
60 |     // Liquidity density = f(d_1) / σ√τ / S
61 |     for (i, y) in density_over_vol.iter().enumerate() {
62 |         y_coordinates.push(y / prices[i]);
63 |     }
64 | 
65 |     // Return the coordinates of the liquidity distribution
66 |     y_coordinates
67 | }
68 | 
69 | /// Returns the reserves of the pool within its virtual price range for the RMM01 model.
70 | pub fn trading_function(prices: Vec<f64>, strike: f64, volatility: f64, tau: f64, scaling: Option<f64>) -> (Vec<f64>, Vec<f64>) {
71 |     let n = prices.len();
72 |     let (mut x, mut y) = (Vec::with_capacity(n), Vec::with_capacity(n));
73 |     let d1 = d_one(prices.clone(), strike, volatility, tau);
74 |     let d2 = d_two(prices, strike, volatility, tau);
75 |     let normal = NormalDist::new(0.0, 1.0).unwrap();
76 |     for i in 0..n {
77 |         x.push(scaling.unwrap_or(1.0) * (1.0 - normal.cdf(d1[i])));
78 |         y.push(scaling.unwrap_or(1.0) * strike * normal.cdf(d2[i]));
79 |     }
80 |     (x, y)
81 | }
82 | 
83 | 
84 | pub fn reported_price(strike: f64, volatility: f64, tau: f64) -> f64 {
85 |     strike * (1.0 + tau * volatility * volatility / 2.0).exp()
86 | }


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/src/plots.rs:
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 1 | 
 2 | use visualize::{design::*, plot::*};
 3 | use crate::models::base_model::BaseModel;
 4 | 
 5 | pub fn plot_liquidity_density(base_model: BaseModel, display: Display, prices: Vec<f64>) {
 6 |     let title: String = String::from("Liquidity Density");
 7 |     let x_coordinates = prices.clone(); // Prices
 8 |     let curve = Curve {
 9 |         x_coordinates: x_coordinates.clone(),
10 |         y_coordinates: base_model.objective.unwrap().get_liquidity_density(prices).clone(),
11 |         design: CurveDesign {
12 |             color: Color::Green,
13 |             color_slot: 1,
14 |             style: Style::Lines(LineEmphasis::Light),
15 |         },
16 |         name: Some(format!("{} {}", "\\tau=", 1.0)),
17 |     };
18 | 
19 |     // Capable of graphing multiple liquidity distributions, edit this code to do so.
20 |     let curves = vec![curve];
21 | 
22 |     // Build the plot's axes
23 |     if let Some(last_price) = x_coordinates.last() {
24 |         let axes = Axes {
25 |         x_label: String::from("S"),
26 |         y_label: String::from("L(S)"),
27 |         bounds: (vec![x_coordinates[0], *last_price], vec![0.0, 1.0]),
28 |     };
29 | 
30 |     // Plot it.
31 |     transparent_plot(Some(curves), None, axes, title, display, None);
32 |     } else {
33 |         println!("prices is empty");
34 |     }
35 |     
36 | }


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