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program: improve-calc-long-short-vol-spread-skew #1804

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99 changes: 72 additions & 27 deletions programs/drift/src/math/amm_spread.rs
Original file line number Diff line number Diff line change
Expand Up @@ -111,7 +111,13 @@ pub fn calculate_long_short_vol_spread(
short_intensity_volume: u64,
volume_24h: u64,
) -> DriftResult<(u64, u64)> {
// 1.6 * std
const FACTOR_CLAMP_MIN: u128 = PERCENTAGE_PRECISION / 100; // 0.01
const FACTOR_CLAMP_MAX: u128 = PERCENTAGE_PRECISION * 2; // 2.00

// Asymmetry strength: bump the dominant side by up to 50% at full skew; relieve the other side by half of that.
const K_ASYM_NUM: u128 = PERCENTAGE_PRECISION / 2; // 0.50
const K_ASYM_CAP: u128 = PERCENTAGE_PRECISION * 3 / 4; // 0.75 max bump

let market_avg_std_pct: u128 = oracle_std
.safe_add(mark_std)?
.cast::<u128>()?
Expand All @@ -121,45 +127,84 @@ pub fn calculate_long_short_vol_spread(

let vol_spread: u128 = last_oracle_conf_pct
.cast::<u128>()?
.max(market_avg_std_pct.safe_div(4)?);
.max(market_avg_std_pct.safe_div(3)?);

let factor_clamp_min: u128 = PERCENTAGE_PRECISION / 100; // .01
let factor_clamp_max: u128 = PERCENTAGE_PRECISION; // 1
let v_hr = max(volume_24h.cast::<u128>()?.safe_div(24)?, 1);

let long_vol_spread_factor: u128 = long_intensity_volume
let long_factor_base: u128 = long_intensity_volume
.cast::<u128>()?
.safe_mul(PERCENTAGE_PRECISION)?
.safe_div(max(volume_24h.cast::<u128>()?, 1))?
.clamp(factor_clamp_min, factor_clamp_max);
let short_vol_spread_factor: u128 = short_intensity_volume
.safe_div(v_hr)?
.clamp(FACTOR_CLAMP_MIN, FACTOR_CLAMP_MAX);

let short_factor_base: u128 = short_intensity_volume
.cast::<u128>()?
.safe_mul(PERCENTAGE_PRECISION)?
.safe_div(max(volume_24h.cast::<u128>()?, 1))?
.clamp(factor_clamp_min, factor_clamp_max);
.safe_div(v_hr)?
.clamp(FACTOR_CLAMP_MIN, FACTOR_CLAMP_MAX);

// ---- skew to one side ([-PCT, +PCT]) ----
let l_u = long_intensity_volume.cast::<u128>()?;
let s_u = short_intensity_volume.cast::<u128>()?;
let sum_ls = l_u.safe_add(s_u)?.max(1);

// skew_pct signed in i128, magnitude in [0, PCT]
let skew_num = l_u.cast::<i128>()?.safe_sub(s_u.cast::<i128>()?)?;
let skew_den = sum_ls.cast::<i128>()?;
let skew_pct_signed: i128 = skew_num
.safe_mul(PERCENTAGE_PRECISION.cast::<i128>()?)?
.safe_div(skew_den)?; // >0 = long pressure, <0 = short pressure

let skew_mag: u128 = skew_pct_signed.unsigned_abs();

// bump (dominant side) and relief (other side)
let bump = skew_mag.safe_div(2)?.min(K_ASYM_CAP); // cap
let relief = bump.safe_div(2)?; // softer on passive side

// ---- apply asymmetry to factors ----
let (long_factor, short_factor) = if skew_pct_signed >= 0 {
let long_factor = long_factor_base
.safe_mul(PERCENTAGE_PRECISION.safe_add(bump)?)?
.safe_div(PERCENTAGE_PRECISION)?;
let short_factor = short_factor_base
.safe_mul(PERCENTAGE_PRECISION.safe_sub(relief)?)?
.safe_div(PERCENTAGE_PRECISION)?
.max(FACTOR_CLAMP_MIN); // don't squash below min
(long_factor, short_factor)
} else {
let short_factor = short_factor_base
.safe_mul(PERCENTAGE_PRECISION.safe_add(bump)?)?
.safe_div(PERCENTAGE_PRECISION)?;
let long_factor = long_factor_base
.safe_mul(PERCENTAGE_PRECISION.safe_sub(relief)?)?
.safe_div(PERCENTAGE_PRECISION)?
.max(FACTOR_CLAMP_MIN);
(long_factor, short_factor)
};

// only consider confidence interval at full value when above 25 bps
let conf_component = if last_oracle_conf_pct > PERCENTAGE_PRECISION_U64 / 400 {
last_oracle_conf_pct
} else {
last_oracle_conf_pct.safe_div(20)?
};

Ok((
max(
conf_component,
vol_spread
.safe_mul(long_vol_spread_factor)?
.safe_div(PERCENTAGE_PRECISION)?
.cast::<u64>()?,
),
max(
conf_component,
vol_spread
.safe_mul(short_vol_spread_factor)?
.safe_div(PERCENTAGE_PRECISION)?
.cast::<u64>()?,
),
))
let long_spread = max(
conf_component,
vol_spread
.safe_mul(long_factor)?
.safe_div(PERCENTAGE_PRECISION)?
.cast::<u64>()?,
);

let short_spread = max(
conf_component,
vol_spread
.safe_mul(short_factor)?
.safe_div(PERCENTAGE_PRECISION)?
.cast::<u64>()?,
);

Ok((long_spread, short_spread))
}

pub fn calculate_inventory_liquidity_ratio(
Expand Down
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