Mining Math (On-chain)

Definitions

Let:

• $S$ = room slots (max miners that can run at once)
• $E$ = base_emission_per_hash_per_sec (GOLD per second per hash)
• For each equipped miner instance $i$:
  • $h_i$ = miner hash
  • $cd_i$ = cooldown end time (unix seconds)
• $now$ = current time (unix seconds)

Effective hash

Each miner contributes either its hash or 0 if it’s cooling down:

$$h_i^{eff} = \begin{cases} h_i & \text{if } now \ge cd_i \\ 0 & \text{if } now < cd_i \end{cases}$$

Total hash in a room

Take the miners equipped in the active room (up to $S$ slots) and sum:

$$H = \sum_{i=1}^{S} h_i^{eff}$$

Base emission (tokens per second)

$$\text{GOLD/sec} = H \times E$$

Multipliers (room + fuel)

If the contract applies room and fuel multipliers:

$$\text{GOLD/sec} = H \times E \times M_{room} \times M_{fuel}$$

Where $M_{room}$ and $M_{fuel}$ are multipliers like $1.0$, $1.2$, $2.0$, etc.

Example

Active room slots: $S = 4$

Equipped miner hashes: [10000, 4000, 1500, 600]

No cooldowns active $\Rightarrow h_i^{eff} = h_i$

$$H = 10000 + 4000 + 1500 + 600 = 16100$$

Example emission rate $E = 0.0001$:

$$\text{GOLD/sec} = 16100 \times 0.0001 = 1.61$$