Math · Reads onchain state
Multiplies two values and divides by a third in one step, rounding up or down. Dividing after the multiply avoids the truncation of a separate divide-then-multiply, so fixed-point ratios like utilization stay wei-exact, while round-up matches protocol share math that rounds debt up. The x × y intermediate is a checked 256-bit product: the call reverts if it overflows uint256, and reverts on z = 0. All three operands are reconciled to eighteen decimals, so the divisor is the measured value you are dividing by and not a scale word: the WAD constant here is the number one and divides by nothing. Where a raw denominator really is wanted, write it as a literal. Reach for it to convert an amount across a price or rate, such as collateral times price divided by that price's own denominator, or to scale a balance by a share ratio without losing precision.
Expected Amount to Minimum Received
1·Take
Opening by declaring expected_amount, this parameter is left for the caller to supply at execution time, naming the baseline quantity the slippage floor applies to.
2·Take
A second parameter, max_slippage, is declared as caller-supplied, giving the tolerance fraction that will be subtracted from full scale.
3·Calculate
Subtracting max_slippage from 1 produces the retained fraction, the share of expected_amount that survives after slippage.
4·Get constant
Holding WAD (1e18) as a named constant provides the scale factor for the fixed-point multiply-divide that follows.
5·Multiply then divide
Multiplying expected_amount by the retained fraction and dividing by WAD, rounded down, yields the minimum received figure at the given slippage.
6·Bubble
Surfacing that quotient returns the computed minimum received amount as the output of this plug.
Expected Amount to Minimum Received
Raw Weights to Percents
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