DAMM v1 is a traditional full-range liquidity AMM with multiple curve support.

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Constant Product Curve (xy = k)

The constant product formula maintains liquidity invariance through the following relationships:

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Invariant Formula

k=tokena×tokenbk = \text{token}_a \times \text{token}_b

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Liquidity Invariant (D)

D=tokena×tokenbD = \sqrt{\text{token}_a \times \text{token}_b}

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Stable Swap Curve (StableSwap)

Implements Curve Finance’s StableSwap algorithm via Saber StableSwap.

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Core StableSwap Invariant

A⋅nn⋅∑ixi+D=A⋅nn⋅D+Dn+1nn⋅∏ixiA \cdot n^n \cdot \sum_{i} x_i + D = A \cdot n^n \cdot D + \frac{D^{n+1}}{n^n \cdot \prod_{i} x_i}

Where:

  • A = amplification coefficient
  • n = number of tokens (2 for pairs)
  • x_i = token amounts
  • D = invariant

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Fee Calculation Formulas

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Trading Fees

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Base Trading Fee

fee=token_amount×fee_numeratorfee_denominator\text{fee} = \frac{\text{token\_amount} \times \text{fee\_numerator}}{\text{fee\_denominator}}

Where:

  • fee_denominator = 100,000