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use std::{cmp::Ordering, ops::Div};
use anchor_lang::{
prelude::{borsh, AnchorDeserialize, AnchorSerialize},
InitSpace,
};
/// Decimal type for storing prices.
#[derive(Debug, Clone, Copy, PartialEq, Eq, AnchorSerialize, AnchorDeserialize, InitSpace)]
pub struct Decimal {
/// Value.
pub value: u32,
/// Decimal multiplier.
pub decimal_multiplier: u8,
}
impl Decimal {
/// The Maximum Decimals.
/// Should satisfy `MAX_DECIMALS <= 30`.
pub const MAX_DECIMALS: u8 = 20;
/// The Maximum Decimal Multiplier,
/// which should satisfy `u32::MAX * 10^{MAX_DECIMAL_MULTIPLIER} <= u128::MAX`.
pub const MAX_DECIMAL_MULTIPLIER: u8 = 20;
fn multiplier(&self) -> u128 {
10u128.pow(self.decimal_multiplier as u32)
}
/// Returns the price of one unit (with decimals to be [`MAX_DECIMALS`](Self::MAX_DECIMALS)).
pub fn to_unit_price(&self) -> u128 {
self.value as u128 * self.multiplier()
}
/// Creates a new [`Decimal`] with the given unit price, keeping `decimal_multiplier` unchanged.
/// Returns `None` if the price is too big.
pub fn with_unit_price(&self, price: u128, round_up: bool) -> Option<Self> {
let multiplier = self.multiplier();
debug_assert!(multiplier != 0);
let value = if round_up {
price.div_ceil(multiplier)
} else {
price.div(multiplier)
};
Some(Self {
value: value.try_into().ok()?,
decimal_multiplier: self.decimal_multiplier,
})
}
/// Create price decimal from the given `price` with `decimals`,
/// where `token_decimals` is the expected unit and with expected `precision`.
pub fn try_from_price(
mut price: u128,
decimals: u8,
token_decimals: u8,
precision: u8,
) -> Result<Self, DecimalError> {
if token_decimals > Self::MAX_DECIMALS
|| precision > Self::MAX_DECIMALS
|| decimals > Self::MAX_DECIMALS
{
return Err(DecimalError::ExceedMaxDecimals);
}
if token_decimals + precision > Self::MAX_DECIMALS {
return Err(DecimalError::ExceedMaxDecimals);
}
// Convert the `price` to be with decimals of `token_decimals`.
let divisor_exp = match decimals.cmp(&token_decimals) {
Ordering::Equal => None,
Ordering::Less => {
// CHECK: Since `token_decimals` and `decimals` are both less than `MAX_DECIMALS`,
// the pow will never overflow.
let multiplier = 10u128.pow((token_decimals - decimals) as u32);
price = price
.checked_mul(multiplier)
.ok_or(DecimalError::Overflow)?;
None
}
Ordering::Greater => Some(decimals - token_decimals),
};
let decimal_multiplier = Self::decimal_multiplier_from_precision(token_decimals, precision);
debug_assert!(
decimal_multiplier <= Self::MAX_DECIMAL_MULTIPLIER,
"must not exceed `MAX_DECIMAL_MULTIPLIER`"
);
// CHECK: 2 * MAX_DECIMALS + MAX_DECIMAL_MULTIPLIER <= u8::MAX
let multiplier = (token_decimals << 1) + decimal_multiplier;
let value = if Self::MAX_DECIMALS >= multiplier {
let mut exp = Self::MAX_DECIMALS - multiplier;
if let Some(divisor_exp) = divisor_exp {
if exp >= divisor_exp {
exp -= divisor_exp;
// CHECK: Since `exp <= MAX_DECIMALS <= 30`, the pow will never overflow.
price
.checked_mul(10u128.pow((exp) as u32))
.ok_or(DecimalError::Overflow)?
} else {
exp = divisor_exp - exp;
// CHECK: Since `divisor_exp <= decimals <= MAX_DECIMALS <= 30`, the pow will never overflow.
price / 10u128.pow(exp as u32)
}
} else {
// CHECK: Since `exp <= MAX_DECIMALS <= 30`, the pow will never overflow.
price
.checked_mul(10u128.pow((exp) as u32))
.ok_or(DecimalError::Overflow)?
}
} else {
// CHECK: Since `multiplier == 2 * token_decimals + decimal_multiplier <= token_decimals + MAX_DECIMALS <= 2 * MAX_DECIMALS`,
// `multiplier - MAX_DECIMALS <= MAX_DECIMALS <= 30` will never make the pow overflow.
let mut ans = price / 10u128.pow((multiplier - Self::MAX_DECIMALS) as u32);
if let Some(exp) = divisor_exp {
ans /= 10u128.pow(exp as u32)
}
ans
};
Ok(Self {
value: value.try_into().map_err(|_| DecimalError::Overflow)?,
decimal_multiplier,
})
}
/// Calculate the decimal multiplier with the desired precision.
/// # Warning
/// One should check that `decimals + precision` is not greater than [`MAX_DECIMALS`](Self::MAX_DECIMALS),
/// otherwise the result might be incorrect due to underflow.
pub const fn decimal_multiplier_from_precision(decimals: u8, precision: u8) -> u8 {
Self::MAX_DECIMALS - decimals - precision
}
/// Returns the max representable decimal with the same decimal multiplier.
pub fn maximum(&self) -> Self {
Self {
value: u32::MAX,
decimal_multiplier: self.decimal_multiplier,
}
}
}
/// Errors of decimals.
#[derive(Debug, thiserror::Error)]
pub enum DecimalError {
/// Exceed the maximum decimals.
#[error("exceeds the maximum decimals")]
ExceedMaxDecimals,
/// Invalid decimals.
#[error("exceeds the maximum decimal multiplier")]
ExceedMaxDecimalMultiplier,
/// Overflow.
#[error("overflow")]
Overflow,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_price_1() {
// The price of ETH is 5,000 with 18 decimals and the decimal multiplier is set to 8 (so that we have decimals of precision 4).
let price = Decimal::try_from_price(5_000_000_000_000_000_000_000, 18, 8, 4).unwrap();
assert_eq!(price.to_unit_price(), 5_000_000_000_000_000);
assert_eq!(price.decimal_multiplier, 8);
}
#[test]
fn test_price_2() {
// The price of BTC is 60,000 with 8 decimals and the decimal multiplier is set to 10 (so that we have decimals of precision 2).
let price = Decimal::try_from_price(6_000_000_000_000, 8, 8, 2).unwrap();
assert_eq!(price.to_unit_price(), 60_000_000_000_000_000);
assert_eq!(price.decimal_multiplier, 10);
}
#[test]
fn test_price_3() {
// The price of USDC is 1 with 6 decimals and the decimal multiplier is set to 8 (so that we have decimals of precision 6).
let price = Decimal::try_from_price(1_000_000, 6, 6, 6).unwrap();
assert_eq!(price.to_unit_price(), 100_000_000_000_000);
assert_eq!(price.decimal_multiplier, 8);
}
#[test]
fn test_price_4() {
// The price of DG is 0.00000001 with 18 decimals and the decimal multiplier is set to 1 (so that we have decimals of precision 11).
let price = Decimal::try_from_price(10_000_000_000, 18, 8, 11).unwrap();
assert_eq!(price.to_unit_price(), 10_000);
assert_eq!(price.decimal_multiplier, 1);
}
#[test]
fn test_price_5() {
// The price of one WNT is 5,000
// price decimals: 5
// token decimals: 8
// expected precision: 4
let price = Decimal::try_from_price(500_000_000, 5, 8, 4).unwrap();
// 5,000 / 10^18 * 10^20
assert_eq!(price.to_unit_price(), 5_000_000_000_000_000);
assert_eq!(price.decimal_multiplier, 20 - 8 - 4);
}
#[test]
fn test_price_6() {
// The price of one WBTC is 50,000
// price decimals: 8
// token decimals: 8
// expected precision: 2
let price = Decimal::try_from_price(5_000_000_000_000, 8, 8, 2).unwrap();
// 50,000 / 10^8 * 10^20
assert_eq!(price.to_unit_price(), 50_000_000_000_000_000);
assert_eq!(price.decimal_multiplier, 20 - 8 - 2);
}
#[test]
fn test_price_7() {
// The price of one token is 5.0
// price decimals: 12
// token decimals: 8
// expected precision: 2
let price = Decimal::try_from_price(5_000_000_000_000, 12, 8, 2).unwrap();
// 5 / 10^8 * 10^20
assert_eq!(price.to_unit_price(), 5_000_000_000_000);
assert_eq!(price.decimal_multiplier, 20 - 8 - 2);
}
#[test]
fn test_price_8() {
// The price of one SHIB is 1.77347 * 10^-5
// price decimals: 10
// token decimals: 5
// expected precision: 9
let price = Decimal::try_from_price(177_347, 10, 5, 9).unwrap();
assert_eq!(price.to_unit_price(), 17_734_000_000);
assert_eq!(price.decimal_multiplier, 20 - 5 - 9);
}
#[test]
fn test_price_max_price() {
/*
https://arbitrum-api.gmxinfra.io/tokens :
{"symbol":"ETH","address":"0x82aF49447D8a07e3bd95BD0d56f35241523fBab1","decimals":18},
{"symbol":"BTC","address":"0x47904963fc8b2340414262125aF798B9655E58Cd","decimals":8,"synthetic":true},
{"symbol":"USDC","address":"0xaf88d065e77c8cC2239327C5EDb3A432268e5831","decimals":6}
https://arbitrum-api.gmxinfra.io/prices/tickers :
{"tokenAddress":"0x82aF49447D8a07e3bd95BD0d56f35241523fBab1","tokenSymbol":"ETH","minPrice":"2960193941697386","maxPrice":"2960410000000000","updatedAt":1731093960710,"timestamp":1731093960},
{"tokenAddress":"0x47904963fc8b2340414262125aF798B9655E58Cd","tokenSymbol":"BTC","minPrice":"769507202712389700000000000","maxPrice":"769509257839876500000000000","updatedAt":1731093959803,"timestamp":1731093959},
{"tokenAddress":"0xaf88d065e77c8cC2239327C5EDb3A432268e5831","tokenSymbol":"USDC","minPrice":"999883816264707600000000","maxPrice":"1000000000000000000000000","updatedAt":1731093960613,"timestamp":1731093960}
https://api.gmx.io/prices :
"0x82aF49447D8a07e3bd95BD0d56f35241523fBab1":"2959011950971600000000000000000000"
eth price approx $2960.41 per 1 ETH
*/
// https://solscan.io/account/716hFAECqotxcXcj8Hs8nr7AG6q9dBw2oX3k3M8V7uGq#data solana chainlink eth oracle has 8 decimals. token_decimal config would have to be << 18 to work
// chopped off 4 decimals from maxPrice of 2960410000000000
let price_eth = Decimal::try_from_price(296041000000, 8, 8, 4).unwrap();
// precision 4
assert_eq!(price_eth.value, 29604100);
// 8 (20-4-8)
assert_eq!(price_eth.decimal_multiplier, 8);
// 12 decimals (4+8)
assert_eq!(price_eth.to_unit_price(), 2960410000000000);
// chopped off 2 decimals from maxPrice
let price_btc = Decimal::try_from_price(7695092578398765000000000, 20, 8, 2).unwrap();
// precision 2
assert_eq!(price_btc.value, 7695092);
// 10 (20-2-8)
assert_eq!(price_btc.decimal_multiplier, 10);
// 12 decimals (2+10)
assert_eq!(price_btc.to_unit_price(), 76950920000000000);
// chopped off 4 decimals from maxPrice of 1000000000000000000000000
let price_usdc = Decimal::try_from_price(100000000000000000000, 20, 6, 6).unwrap();
// precision 6
assert_eq!(price_usdc.value, 1000000);
// 8 (20-6-6)
assert_eq!(price_usdc.decimal_multiplier, 8);
// 14 decimals (6+8)
assert_eq!(price_usdc.to_unit_price(), 100000000000000);
let fiat_value_eth = price_eth.to_unit_price() * 10u128.pow(8);
// 20 decimals (unit price decimals+token_decimals = 20 for one full unit)
assert_eq!(fiat_value_eth, 296041000000000000000000u128);
let fiat_eth_to_btc = fiat_value_eth / price_btc.to_unit_price();
assert_eq!(fiat_eth_to_btc, 3847140);
let fiat_eth_to_usdc = fiat_value_eth / price_usdc.to_unit_price();
assert_eq!(fiat_eth_to_usdc, 2960410000);
}
#[test]
fn test_price_overflow() {
assert!(Decimal::try_from_price(u128::from(u32::MAX), 0, 0, 0).is_ok());
assert!(Decimal::try_from_price(u128::from(u32::MAX) + 1, 0, 0, 0).is_err());
}
}