TierCalculationLib

Git Source

Author: PoolTogether Inc. Team

Provides helper functions to assist in calculating tier prize counts, frequency, and odds.

Functions

getTierOdds

Calculates the odds of a tier occurring.

function getTierOdds(uint8 _tier, uint8 _numberOfTiers, uint24 _grandPrizePeriod) internal pure returns (SD59x18);

Parameters

Name	Type	Description
_tier	uint8	The tier to calculate odds for
_numberOfTiers	uint8	The total number of tiers
_grandPrizePeriod	uint24	The number of draws between grand prizes

Returns

Name	Type	Description
<none>	SD59x18	The odds that a tier should occur for a single draw.

estimatePrizeFrequencyInDraws

Estimates the number of draws between a tier occurring.

function estimatePrizeFrequencyInDraws(SD59x18 _tierOdds) internal pure returns (uint256);

Parameters

Name	Type	Description
_tierOdds	SD59x18	The odds for the tier to calculate the frequency of

Returns

Name	Type	Description
<none>	uint256	The estimated number of draws between the tier occurring

prizeCount

Computes the number of prizes for a given tier.

function prizeCount(uint8 _tier) internal pure returns (uint256);

Parameters

Name	Type	Description
_tier	uint8	The tier to compute for

Returns

Name	Type	Description
<none>	uint256	The number of prizes

isWinner

Determines if a user won a prize tier.

function isWinner(
    uint256 _userSpecificRandomNumber,
    uint256 _userTwab,
    uint256 _vaultTwabTotalSupply,
    SD59x18 _vaultContributionFraction,
    SD59x18 _tierOdds
) internal pure returns (bool);

Parameters

Name	Type	Description
_userSpecificRandomNumber	uint256	The random number to use as entropy
_userTwab	uint256	The user's time weighted average balance
_vaultTwabTotalSupply	uint256	The vault's time weighted average total supply
_vaultContributionFraction	SD59x18	The portion of the prize that was contributed by the vault
_tierOdds	SD59x18	The odds of the tier occurring

Returns

Name	Type	Description
<none>	bool	True if the user won the tier, false otherwise

calculatePseudoRandomNumber

The user-held portion of the total supply is the "winning zone". If the above pseudo-random number falls within the winning zone, the user has won this tier. However, we scale the size of the zone based on:

• Odds of the tier occurring
• Number of prizes
• Portion of prize that was contributed by the vault

Calculates a pseudo-random number that is unique to the user, tier, and winning random number.

function calculatePseudoRandomNumber(
    uint24 _drawId,
    address _vault,
    address _user,
    uint8 _tier,
    uint32 _prizeIndex,
    uint256 _winningRandomNumber
) internal pure returns (uint256);

Parameters

Name	Type	Description
_drawId	uint24	The draw id the user is checking
_vault	address	The vault the user deposited into
_user	address	The user
_tier	uint8	The tier
_prizeIndex	uint32	The particular prize index they are checking
_winningRandomNumber	uint256	The winning random number

Returns

Name	Type	Description
<none>	uint256	A pseudo-random number

calculateWinningZone

Calculates the winning zone for a user. If their pseudo-random number falls within this zone, they win the tier.

function calculateWinningZone(uint256 _userTwab, SD59x18 _vaultContributionFraction, SD59x18 _tierOdds)
    internal
    pure
    returns (uint256);

Parameters

Name	Type	Description
_userTwab	uint256	The user's time weighted average balance
_vaultContributionFraction	SD59x18	The portion of the prize that was contributed by the vault
_tierOdds	SD59x18	The odds of the tier occurring

Returns

Name	Type	Description
<none>	uint256	The winning zone for the user.

tierPrizeCountPerDraw

Computes the estimated number of prizes per draw for a given tier and tier odds.

function tierPrizeCountPerDraw(uint8 _tier, SD59x18 _odds) internal pure returns (uint32);

Parameters

Name	Type	Description
_tier	uint8	The tier
_odds	SD59x18	The odds of the tier occurring for the draw

Returns

Name	Type	Description
<none>	uint32	The estimated number of prizes per draw for the given tier and tier odds

isValidTier

Checks whether a tier is a valid tier

function isValidTier(uint8 _tier, uint8 _numberOfTiers) internal pure returns (bool);

Parameters

Name	Type	Description
_tier	uint8	The tier to check
_numberOfTiers	uint8	The number of tiers

Returns

Name	Type	Description
<none>	bool	True if the tier is valid, false otherwise