CPMM Builders Track

Implement the core constant-product invariant used by CPMMs and verify that reserves produce the expected k value.

Compute the spot price implied by pool reserves using integer math scaled to basis points.

Implement the basic constant-product exact-in quote for a swap without fees.

Apply a 30 basis point trading fee to the input amount before quoting the output of a swap.

Combine fee-adjusted input, constant-product quote math, and a minimum output check to protect the trader from excessive slippage.

Update pool reserves after an exact-in swap with a 30 basis point fee and return the new reserve balances.

Compute how much fee the protocol collects from a swap input amount when the fee rate is 30 basis points.

Calculate the average execution price of a swap using integer math scaled by 10,000.

Compare spot price and execution price to compute realized slippage in basis points.

Verify that the post-swap reserve state does not decrease the pool invariant when fees are applied.

Compute the initial LP token supply for a brand new pool using the integer square root of the reserve product.

Given an X token deposit, compute how much Y must also be deposited to keep the pool price unchanged.

Mint LP shares for a proportional deposit based on the existing total LP supply and reserve balances.

Given LP shares being burned, compute the proportional X and Y amounts the liquidity provider should receive.

Check whether a proposed liquidity deposit is proportional to the current pool reserves.

Build a safe multiplication helper that returns an error instead of silently overflowing.

Round a quoted output amount down to the nearest whole token unit so the pool never pays out too much.

Reject swaps when the pool is paused and allow them only when the pool is active.

Validate that the caller matches the configured admin authority before a sensitive pool action is allowed.

Combine pause-state validation, fee-adjusted exact-in quoting, and slippage protection into one secure swap function.