Smogon Calculator

Pokémon Damage Calculation Tool

Pokémon Damage Calculator

Input the details of your Pokémon’s move and the opposing Pokémon’s stats to estimate damage.

What is the Smogon Calculator?

The Smogon calculator, more accurately referred to as a Pokémon damage calculator, is an essential tool for competitive Pokémon players. It allows users to precisely determine the potential damage output of a specific move from one Pokémon against another. This is crucial for understanding matchups, predicting outcomes, and building effective teams in formats like those used by Smogon University. It takes into account various game mechanics such as stats, move power, type effectiveness, STAB, critical hits, and more. This tool is not just for predicting single hits; it’s vital for strategizing over entire battles, understanding when a Pokémon can take a hit, or when a specific move will be enough to KO an opponent. Many aspiring trainers and seasoned veterans alike rely on these calculators to refine their competitive edge. A common misconception is that it’s a simple damage predictor, but it’s a complex model that reflects the intricate battle system of Pokémon. Another misconception is that it only calculates the maximum possible damage; in reality, it calculates a damage range due to the random element in the game. This calculator is designed for anyone looking to improve their competitive Pokémon play, from understanding basic type matchups to executing complex sweeping strategies.

Who Should Use It?

Anyone involved in competitive Pokémon battling, whether on platforms like Pokémon Showdown, in official VGC formats, or even just for in-game challenges where optimizing Pokémon performance is key. This includes:

• Players aiming for higher ranks in online battling.
• Team builders looking to ensure synergy and coverage.
• Content creators analyzing matchups and strategies.
• New players wanting to understand battle mechanics better.

Common Misconceptions

Misconception 1: It only calculates one damage number.
Reality: Pokémon battles have a random damage roll. This calculator provides a range from the minimum to the maximum possible damage, reflecting this mechanic.
Misconception 2: It’s only for offensive calculations.
Reality: While primarily used for offensive pressure, understanding damage output is also critical for defensive play – knowing how much damage a Pokémon can take is as important as knowing how much it can dish out.
Misconception 3: All calculators are the same.
Reality: Different calculators might adhere to slightly different game mechanics or tiers (like Smogon’s tiers which influence which Pokémon are viable). This tool aims to represent standard damage calculation logic.

Smogon Calculator Formula and Mathematical Explanation

The core of any Pokémon damage calculation lies in a formula that accounts for numerous variables. The standard formula, often used in competitive communities like Smogon, provides a detailed estimation of damage. Understanding this formula is key to mastering Pokémon battles.

Step-by-Step Derivation

1. Base Damage Calculation: This starts with the fundamental components: the attacker’s relevant stat (Attack or Special Attack), the defender’s relevant stat (Defense or Special Defense), and the move’s base power. The formula begins with (2 * Level / 5 + 2) * Power * AttackStat / DefenseStat. This part scales the raw stats and power based on the attacker’s level.
2. Stat Modifications & Buffs/Debuffs: While not directly included in the basic input fields of this simplified calculator, in the actual game, stats can be modified by abilities, items, status conditions, and stat stage changes (e.g., from moves like Growl or Swords Dance). These would further alter the AttackStat and DefenseStat values before being used.
3. The ‘/ 50 + 2’ Modifier: After the initial calculation, dividing by 50 and adding 2 introduces another layer of scaling and normalization, ensuring damage values are within a reasonable range across different stat distributions.
4. Damage Range Roll: The game applies a random roll between 0.85 and 1.00 (inclusive) to the damage calculated so far. This means the actual damage can vary. The calculator aims to represent this by calculating a minimum and maximum based on this roll, though for simplicity, many calculators use a base multiplier of 1 and focus on other factors first. For this specific implementation, we’ll demonstrate the core damage before the random roll, and the primary output will show the damage range adjusted for the random roll.
5. Multipliers: Several multiplicative factors then adjust the damage:
   • STAB (Same Type Attack Bonus): If the move’s type matches the attacker’s type, damage is multiplied by 1.5.
   • Type Effectiveness: This accounts for the offensive and defensive typing. Super Effective (2x) is 2, Not Very Effective (0.5x) is 0.5, and Immune (0x) is 0. This calculator simplifies it to common multipliers: 4x, 2x, 1x, 0.5x, 0.25x.
   • Critical Hit: In most generations, a critical hit multiplies damage by 1.5 (2x in Gen 1-4). This calculator uses 1.5x.
   • Other Modifiers: Abilities (e.g., Speed Boost, Blaze), items (e.g., Choice Specs), weather, terrain, status conditions (e.g., Burn reducing physical attack), and field effects can all apply further multipliers.
6. Final Damage: The final damage is the result of the base calculation multiplied by all applicable modifiers.

Formula Used in This Calculator (Simplified)

The calculator uses the following formula to estimate the damage range:

Damage Range = (((2 * Lvl / 5 + 2) * BP * Atk / Def) / 50 + 2) * STAB * Effectiveness * Crit * RandomRoll

Where:

• Lvl = Attacker’s Level
• BP = Move’s Base Power
• Atk = Attacker’s relevant stat (Attack or Special Attack)
• Def = Defender’s relevant stat (Defense or Special Defense)
• STAB = 1.5 if Same Type Attack Bonus applies, 1 otherwise
• Effectiveness = Multiplier based on type matchup (e.g., 2 for Super Effective, 0.5 for Not Very Effective)
• Crit = 1.5 for a Critical Hit, 1 otherwise
• RandomRoll = A value between 0.85 and 1.00 (represented here by separate min/max calculations)

Variables Table

Key variables influencing Pokémon damage calculation.

Variable	Meaning	Unit	Typical Range
Attacker’s Attack/Special Attack	The offensive stat of the attacking Pokémon relevant to the move type.	Stat Points	1 – 350+ (depends on Pokémon, level, IVs, EVs, nature)
Defender’s Defense/Special Defense	The defensive stat of the defending Pokémon relevant to the move type.	Stat Points	1 – 350+ (depends on Pokémon, level, IVs, EVs, nature)
Move Power	The base power of the move being used.	Power Points (PP)	0 – 150 (with some exceptions like struggle)
Attacker’s Level	The level of the attacking Pokémon.	Level	1 – 100
STAB	Same Type Attack Bonus multiplier.	Multiplier	1 or 1.5
Type Effectiveness	Multiplier based on the move’s type vs. defender’s type.	Multiplier	0, 0.25, 0.5, 1, 2, 4
Critical Hit	Multiplier for a critical hit.	Multiplier	1 or 1.5 (or 2 in older gens)
Random Roll	A random modifier applied to damage.	Multiplier	0.85 – 1.00

Practical Examples (Real-World Use Cases)

Let’s illustrate the Smogon calculator’s utility with two common competitive scenarios.

Example 1: Offensive Threat – Garchomp vs. Heatran

Scenario: A Level 50 Garchomp (Adamant, max Attack EVs) uses Earthquake against a Level 50 Heatran (Calm, max HP/SpD EVs).

• Garchomp (Attacker):
• Level: 50
• Attack Stat: Assume ~207 (base 130 Atk, Adamant nature, ~31 IVs, 252 EVs)
• Move: Earthquake (Physical, Ground-type, Power 100)
• STAB: Yes (Garchomp is Ground-type) -> 1.5x
• Critical Hit: No -> 1x
• Heatran (Defender):
• Level: 50
• Defense Stat: Assume ~115 (base 100 Def, ~31 IVs, 252 EVs in HP/SpD, so Def is lower)
• Type Effectiveness: Ground vs. Heatran (Fire/Steel) -> x2 (Super Effective)

Calculator Inputs:

• Attack Stat: 207
• Defense Stat: 115
• Move Power: 100
• Level: 50
• STAB: Yes (1.5)
• Type Effectiveness: 2
• Critical Hit: 1

Calculator Output (Estimated Range):

• Base Damage: ~289
• Damage Multiplier: 1.5 (STAB) * 2 (Effectiveness) * 1 (Crit) = 3.0
• Final Damage (Min, ~85% roll): ~770
• Final Damage (Max, 100% roll): ~908
• Primary Result: 770 – 908

Interpretation: Garchomp’s Earthquake deals significant damage to Heatran, likely OHKOing it if Heatran doesn’t have specific defensive investment or stat boosts. This matchup information is vital for team building.

Example 2: Defensive Resilience – Toxapex vs. Specs Dragapult

Scenario: A Level 50 Dragapult (Modest, Choice Specs) uses Shadow Ball against a Level 50 Toxapex (Bold, max HP/Def EVs).

• Dragapult (Attacker):
• Level: 50
• Special Attack Stat: Assume ~200 (base 100 SpA, Modest nature, ~31 IVs, 252 EVs)
• Move: Shadow Ball (Special, Ghost-type, Power 80)
• STAB: No (Dragapult is Dragon/Ghost, but Shadow Ball is Ghost, so yes if Ghost STAB) -> 1.5x
• Critical Hit: No -> 1x
• Item: Choice Specs (Boosts SpA by 1.5x, but locks move choice) -> Let’s account for this on SpA stat or as a general multiplier. For simplicity, we’ll use a higher SpA. Assume base SpA with Specs effectively acts like ~200*1.5 = 300, but the calculator input is the base stat *before* item boost. Let’s use a higher base stat input to represent the Specs boost implicitly for this example. Let’s assume effective SpA of 200 for calculation, but know Specs adds ~33% power boost. A Specs multiplier of 1.33 would be applied if not adjusting base stat. Let’s stick to 1.33 multiplier.
• Toxapex (Defender):
• Level: 50
• Special Defense Stat: Assume ~237 (base 142 SpD, ~31 IVs, 252 EVs, Bold nature reduces Def, increases SpD)
• Type Effectiveness: Ghost vs. Toxapex (Poison/Water) -> 2x (Super Effective)

Calculator Inputs:

• Attack Stat: 200 (Dragapult SpA)
• Defense Stat: 237 (Toxapex SpD)
• Move Power: 80
• Level: 50
• STAB: Yes (1.5)
• Type Effectiveness: 2
• Critical Hit: 1
• Additional Multiplier (for Choice Specs): 1.33

Calculator Output (Estimated Range):

• Base Damage: ~107
• Damage Multiplier: 1.5 (STAB) * 2 (Effectiveness) * 1.33 (Specs) * 1 (Crit) = ~3.99
• Final Damage (Min, ~85% roll): ~363
• Final Damage (Max, 100% roll): ~427
• Primary Result: 363 – 427

Interpretation: While Shadow Ball is super effective and Dragapult has high special attack, Toxapex’s incredible Special Defense and max HP investment allows it to tank the hit comfortably. The damage range suggests it will not be knocked out by a single Shadow Ball, allowing it to retaliate or endure. This highlights Toxapex’s role as a strong defensive pivot.

How to Use This Smogon Calculator

Our Smogon calculator is designed for simplicity and accuracy, providing key insights into Pokémon battles. Follow these steps to get the most out of it.

Step-by-Step Instructions

1. Identify the Attacker and Defender: Determine which Pokémon is using the move and which is receiving it.
2. Input Attacker’s Stats: Enter the relevant offensive stat (Attack for physical moves, Special Attack for special moves) of the attacking Pokémon.
3. Input Defender’s Stats: Enter the relevant defensive stat (Defense for physical moves, Special Defense for special moves) of the defending Pokémon.
4. Input Move Details: Enter the base power of the move being used.
5. Enter Attacker’s Level: Input the level of the attacking Pokémon.
6. Select STAB: Choose ‘Yes’ if the move’s type matches the attacker’s type; otherwise, select ‘No’.
7. Select Type Effectiveness: Choose the correct multiplier based on the move’s type against the defender’s typing (e.g., ‘2’ for super effective, ‘0.5’ for not very effective).
8. Select Critical Hit: Choose ‘Yes’ if you anticipate a critical hit, ‘No’ otherwise.
9. Click ‘Calculate Damage’: Press the button to see the results.

How to Read Results

• Primary Result (Damage Range): This shows the minimum and maximum possible damage the move will inflict, factoring in the 85%-100% random damage roll. For example, ‘770 – 908’ means the damage will be between these two numbers.
• Base Damage: The raw damage calculated before multipliers and the random roll.
• Damage Multiplier: The combined effect of STAB, type effectiveness, and critical hits.
• Final Damage (Min/Max): The specific calculated minimum and maximum damage values after all multipliers and the random roll.
• Formula Explanation: Provides a clear breakdown of the calculation’s logic.

Decision-Making Guidance

• KO Potential: Compare the maximum damage output to the defender’s HP. If the max damage exceeds the defender’s HP, the move has KO potential.
• Defensive Checks: If you are the defender, compare the incoming damage range to your Pokémon’s HP and defensive stats. Can your Pokémon survive the hit?
• Strategic Moves: Use the results to decide which moves are most effective against certain opponents, or which Pokémon is best suited to switch in to take a hit.
• Team Building: Understanding these damage interactions is fundamental to building a balanced and effective competitive team. Ensure you have answers to common threats.

Key Factors That Affect Smogon Calculator Results

While the calculator simplifies many elements, numerous factors in the actual Pokémon games can influence the final damage output. Understanding these nuances is crucial for advanced competitive play.

1. Stats (Base, EVs, IVs, Natures): The calculator uses base stats as influenced by level, but in-game stats are heavily modified by Effort Values (EVs), Individual Values (IVs), and Natures. These significantly alter the Attack and Defense values, leading to different damage outcomes. A Pokémon with maximized EVs and a beneficial nature will hit much harder or resist more effectively.
2. Abilities: Many Pokémon abilities directly impact damage calculation. For example, ‘Intimidate’ lowers the opponent’s Attack stat upon switching in, reducing physical damage dealt. ‘Adaptability’ boosts STAB to 2x instead of 1.5x. ‘Thick Fat’ halves damage from Fire and Ice-type moves.
3. Items: Held items can drastically change offensive and defensive capabilities. ‘Choice Specs’ boost Special Attack but lock the user into one move. ‘Leftovers’ provide passive recovery. ‘Assault Vest’ boosts Special Defense but prevents status moves. Items like ‘Choice Band’ and ‘Choice Specs’ provide significant power boosts.
4. Stat Stages (Boosts and Drops): Moves like ‘Swords Dance’ or ‘Nasty Plot’ raise the attacker’s relevant stat, while moves like ‘Growl’ or ‘Leer’ lower the defender’s relevant stat. Each stage typically represents a 1.5x boost or a 0.67x drop (multiplicatively).
5. Weather Conditions: Certain weather effects impact move power. For instance, ‘Sun’ boosts Fire-type moves by 1.5x and weakens Water-type moves to 0.5x. ‘Rain’ has the opposite effect. ‘Sandstorm’ and ‘Hail’ deal passive damage and can boost the Special Defense of Rock, Steel, and Ice-types in Sand.
6. Terrain Effects: Similar to weather, Terrains (Misty, Electric, Grassy, Psychic) can alter move power, provide passive recovery, or prevent status conditions. For example, Grassy Terrain boosts Grass-type moves by 1.3x and provides HP recovery.
7. Critical Hits: While the calculator includes a basic critical hit option, critical hits ignore most stat-boosting/lowering effects and can bypass defensive abilities like ‘Sturdy’ (unless it’s a OHKO move). Their chance is influenced by moves like ‘Focus Energy’ or items like ‘Lucky Punch’.
8. Status Conditions: A ‘Burn’ halves physical attack damage dealt by the afflicted Pokémon (except for the move ‘Facade’). ‘Paralysis’ cuts speed and has a 25% chance to prevent the Pokémon from moving.
9. Entry Hazards: Moves like ‘Stealth Rock’ and ‘Spikes’ inflict damage on switching-in Pokémon based on their type and weaknesses, adding an extra layer of damage consideration outside of direct attacks.
10. Rounding: Pokémon damage calculation involves specific rounding rules at various stages, which can lead to minor discrepancies between calculators if not implemented precisely.

Frequently Asked Questions (FAQ)

What is the difference between Attack/Defense and Special Attack/Special Defense in the calculator?

The calculator simplifies this by asking for “Attacker’s Attack/Special Attack” and “Defender’s Defense/Special Defense”. You should input the Attack stat for physical moves (like Earthquake) and the Special Attack stat for special moves (like Flamethrower). Similarly, the defender’s Defense is used against physical moves, and their Special Defense against special moves.

Why does the calculator show a damage range instead of a single number?

In Pokémon battles, damage is subject to a random multiplier between 0.85 and 1.00. The calculator shows the minimum (using 0.85) and maximum (using 1.00) possible damage to reflect this inherent randomness.

What does ‘STAB’ mean?

STAB stands for “Same Type Attack Bonus”. If a Pokémon uses a move that is the same type as one of its own types (e.g., Charizard using Flamethrower), the move’s power gets a 1.5x boost.

How does Type Effectiveness work?

Type Effectiveness determines how much damage is dealt based on the attacking move’s type versus the defending Pokémon’s type(s). Super effective attacks deal 2x damage, not very effective attacks deal 0.5x damage, and immune attacks deal 0x damage. This calculator represents common effectiveness levels (4x, 2x, 1x, 0.5x, 0.25x).

Can this calculator predict damage for specific abilities like ‘Levitate’ or ‘Filter’?

This specific calculator does not directly account for abilities like ‘Levitate’ (which grants immunity to Ground moves) or ‘Filter’/’Solid Rock’ (which reduce damage taken). These complex interactions would require additional input fields and logic beyond this basic model. You would need to manually adjust the ‘Type Effectiveness’ or apply a further multiplier.

What level should I use for the calculator?

Competitive Pokémon battles often take place at Level 50 (especially in formats like Smogon singles). Level 100 is also used in some contexts. Ensure you use the level that matches the format you are playing in.

How do EVs and IVs affect the results?

EVs (Effort Values) and IVs (Individual Values) significantly boost a Pokémon’s stats. A Pokémon with max IVs and EVs will have much higher Attack/Defense stats than one with minimal investment, leading to considerably different damage calculations. This calculator uses simplified stat inputs; for precise calculations, you’d need a tool that factors in EV/IV spreads.

Can this calculator handle status moves or status effects like Burn?

This calculator focuses on direct damage calculation. It does not simulate status moves like ‘Will-O-Wisp’ or account for the damage reduction from a ‘Burn’ status. You would need to manually apply those effects when interpreting the results.