Mining Reward Calculation Logic

Mining rewards for Tabi Captain Nodes are calculated based on multiple parameters that determine both the total network emissions and individual node-specific outputs. Here is the core logic behind these calculations:

General Parameters:

Parameter	Value	Description
TimoutCommit	3s	Block time
BlocksPerDay	28,800	Number of blocks per day
BlocksPerYear	10,519,200	Number of blocks per year
ConstentA	9,000,000	Fixed constant
ClaimsInitRewardRate	40%	Initial reward pool allocation
MaximumPowerOnPeriod	24	Maximum node operation period
InflationBase	10 billion	Base for inflation calculation
InflationRate	3%	Annual inflation rate
CurrentTotalTabi	Dynamic	Total current $veTABI + $Tabi
CurrentLevelForSale	1	Current technological progress level
CurrentRunDays	60	Number of days since system launch
PledgeTotalCountFromXn	Dynamic	Total amount staked per user
MintTotalCountFromXn	Dynamic	Total mining output per user
OnlinePeriodFromXn	Dynamic	Node uptime (Individual Operation Rate)

Reward Calculation Steps

1. Daily Tabi Issuance Calculation:

$$\text{DailyTabiIssuance} = \frac{\text{InflationBase} \times \text{InflationRate}}{\text{BlocksPerYear}} \times \text{BlocksPerDay}$$

2. Halving Cycle Calculation:

If CaptainNodeMintTotalCount ≥(InflationBase * ClaimsInitRewardRate * 0.5), Halving Cycle = 0.5 Else, Halving Cycle = 1

If (InflationBase * ClaimsInitRewardRate * 0.5) ≥CaptainNodeMintTotalCount ≥(InflationBase * ClaimsInitRewardRate * 0.75), Halving Cycle = 0.25 Else, Halving Cycle = 0.5

3. Technological Progress Factor Calculation:

TechProgressCoefficient = 1.6 ^ (CurrentMaxLevelMine - 1)

4. Global Base Emission Calculation:

CaptainNodeDailyBaseEmission = ConstentA * TechProgressCoefficient * Halving Cycle

5. Global Operational Rate Calculation:

$$\text{OperationalRate} = \frac{\text{Nodes meeting threshold per day}}{\text{Total activated nodes}}$$

If the operational rate is less than 0.1, it is set to 0.1.

If it is greater than or equal to 0.1, the calculated value is used.

6. Personal Stake Rate Calculation:

$$\text{Personal Stake Rate} = \frac{\text{PledgeTotalCountFromXN}}{\text{MintTotalCountFromXN}}$$

• This rate is based on the user's total stake across validators and their node's mining output.

7. Global Staking Total Calculation:

$$\text{PledgeTotalCount} = \sum_{i=1}^{n} \text{PledgeTotalCountFromXi}$$

8. Global Mining Output Calculation:

$$\text{MintTotalCount} = \sum_{i=1}^{n} \text{MintTotalCountFromXi}$$

9. Global Staking Rate Calculation:

$$\text{Global Staking Rate} = \frac{\text{PledgeTotalCount}}{\text{ClaimTotalCount}}$$

10. Daily Total Emission Calculation:

CaptainNodeDailyActualEmission = CaptainNodeDailyBaseEmission * OperationalRate * Global Staking Rate

The per-block emission is calculated as:

$$\text{CaptainNodeBlockActualEmission} = \frac{\text{CaptainNodeDailyActualEmission}}{\text{BlocksPerDay}}$$

11. Node Uptime Calculation:

$$\text{Individual Operation Rate} = \frac{\text{OnlinePeriodFromXn}}{\text{MaximumPowerOnPeriod}}$$

12. Node Mining Power Calculation:

$$(\text{Base Node Power} + \text{Reward Power}) \times \left( e^{6.66 \times \text{Personal Stake Rate}} \right) \times \text{Individual Operation Rate}$$

If Personal Stake Rate > 100%, cap at 100%.

13. Global Mining Power Calculation:

$$\text{Global Mining Power} = \sum_{i=1}^{n} \text{Node Mining Power}$$

14. Mining Power Ratio Calculation:

$$\text{Mining Power Ratio} = \frac{\text{Node Mining Power}}{\text{Global Mining Power}}$$

15. Node Mining Reward Calculation:

CaptainNodeDailyReward = CaptainNodeDailyActualEmission * Mining Power Ratio

The per-block mining reward:

CaptainNodeBlockReward = CaptainNodeBlockActualEmission * Mining Power Ratio