Feature Request: Implement Swap Functionality Using Dynamic Liquidity Deposits

[Vib-UX]

Overview

Following the implementation of dynamic liquidity deposits in the pool, this issue tracks the creation of a swap function that uses the Constant Product Formula (x * y = k) to facilitate token swaps while preserving pool invariants. The swap should also support slippage protection to guard users against unfavorable price movements.

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🔁 Swap Logic

• Implement core swap logic using the formula:
  x * y = k

where x and y are reserves of two assets in the pool, and k is constant.

• Accept input amount and calculate corresponding output using:

outputAmount = y - (k / (x + inputAmount))

• Ensure slippage is accounted

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✨ Desired Features

• Swap respects the dynamic liquidity and adjusts reserves accordingly
• Includes input/output validation and failure conditions
• Supports a frontend-calculable quote API using same formula

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