how to add modifiers tinkers construct

Updated to Tinkers' Construct 3.1.3.271

Use JEI if you want to know modifiers' recipe.
Check SlimeKnight's Discord: https://discord.gg/njGrvuh

Modifiers are split as traits, upgrades, abilities, and slotless.
TiC Tools start with 3 upgrade slots and 1 ability slot.
Some Tools already have specific upgrades applied (like Pickaxes have Piercing I).
Some materials might give upgrades (such as Necrotic Bones giving Necrotic). mDiyo disproving the above statement

Table of content

Upgrades
Abilities
Extra Modifier Slots
Modifiers Hand-to-hand
Traits
Other slotless modifiers
Unused Modifiers
Spilling effects

Upgrades

Reinforced (up to level 5)
Gives 25/45/60/70/75 % chance to not use durability at levels 1 through 5.
Emerald (max 1 per tool)
Increases the base durability of the tool by 50% and increases the mining level to Iron.
Also increases the damage against Illagers by 2.5 (1.25 hearts).
Diamond (max 1 per tool)
Adds 500 durability, 1 attack damage and 1 mining speed to the tool. Also increases the tool's mining level to Diamond.
Soulbound (max 1 per tool)
Makes the tool stay in player's inventory after death.
Netherite (max 1 per tool, requires Diamond or Emerald) (Upgrade)
Adds 20% durability, 10% attack damage and 10% mining speed.
Also makes the tool indestructible when dropped in the world.
Experienced (up to level 5)
50% bonus experience per level.
(Works only on entities that normally drop experience on death, so it doesn't work on Ender Dragon).
Magnetic (up to level 5)
Gives the player the Magnetic status effect for 1.5 seconds. Higher levels give higher levels of Magnetic effect.
Higher levels of the Magnetic effect increase the range of pulling (base range is 3 blocks + 1 per level).
Offhanded (max 1 per tool)
Prevents using the main hand's interaction ability if the offhand is occupied. For example, an axe will not strip wood if a shield is in the offhand. On two handed tools, this effectively makes it one handed, allowing the use of the offhand again.
Haste (up to level 5)
Gives 5 Mining Speed and 5% Attack Speed per level.
Blasting (up to level 5)
Increases mining speed based off block's blast resistance, higher blast resistance means less boost. The increase uses this formula min(10, 3^(6 - blastResistance) / 1.5) per level. Still scales based off Tools Mining Speed modifiers (e.g. Hammers have reduced Mining Speed)
As the Modifier states: formula makes a boost of 9 at a hardness of 3 (most ores), boost of 3 at a hardness of 4.5, and a boost of 1 at hardness of 6 (stone) but seems to be lying as the boost at Stone's hardness is 2.08 (unless I'm missing something)
Hydrauilc (up to level 5)
Increases mining speed by 8 (per level) if in water or by 4 (per level) if in the rain. The bonus scales with tool durability modifier. (e.g. Hammers have increased Durability)
Lightspeed (up to level 5)
Increases mining speed based off the light level of the block. Well lit = faster mining. Formula is 3^((light - 5) / 5f) per level.
As the Modifier states: bonus is +9 mining speed at light level 15, +3 at light level 10, +1 at light level 5 and also 0.33 at light level 0
Fortune (unused in Vanilla TiC) (up to level 3)
Vanilla Fortune enchantment
Knockback (up to level 5)
Increases knockback by 0.5 per level, which equals to launching a mob about 2 blocks.
Padded (up to level 3)
Reduces knockback by 50% per level.
Fiery (up to level 5)
Set the mob on fire for 5 seconds per level.
Severing (up to level 5)
+5% chance per level for the mob to drop an head or a rare loot (e.g. Blaze Rods). Chance is doubled for rare mobs (Wither Skeletons, Ender Dragon, Elder Guardian and Evoker)
Looting (unused in Vanilla TiC) (up to level 3)
Vanilla Looting enchantment
Piercing (up to level 5)
Adds +1 piercing damage (through armor) at the cost of -0.5 regular damage per level.
Smite (up to level 5)
Increases damage to undead by 2.5 (1.25 hearts) per level. (Scales with tools stats modifier)
Bane of Sssss (up to level 5)
Increases damage to Arthropods and Creepers by 2.5 (1.25 hearts) per level and slows them down by 60% (Slowness IV) for 1 second + 0.5s per level. (Scales with tools stats modifier)
Antiaquatic (up to level 5)
Increases damage to Water Mobs by 2.5 (1.25 hearts) per level. (Scales with tools stats modifier)
Cooling (up to level 5)
Increases damage to Fire immune Mobs by 2 (1 hearts) per level. (Scales with tools stats modifier
Sharpness (up to level 5)
Increases damage to any entity by 1 (0.5 hearts) per level.
Sweeping (up to level 4)
Sweep attack deals 25% damage per level of main attack damage.
Necrotic (up to level 5)
Heals between 0 and 5% (per level) of the damage dealt. When healed by more than 2.5% (per level) of the damage plays the Zombie Infecting Villager sound.
Fireprimer (max 1 per Flint and Bronze) Makes the Flint and Bronze light up an AoE area, much like Expanded but requires only an Upgrade slot.

Abilities

Luck (up to level 3)
Acts as vanilla Looting and Fortune.
Reach (max 1 per tool in vanilla TiC)
Increases the maximum distance from the player this tool can mine by 1 block per level.
Unbreakable (max 1 per tool)
Prevents the tool from taking damage, except from special damage sources such as tasty.
Requires Netherite and Reinforced V.
Dual Wielding (max 1 per tool)
Allows the tool to be used from both the main and the offhand. Tools with dual wielding have 80% attack speed and damage, or 90% attack speed and 70% damage for two handed tool.
Silky (max 1 per tool) (Ability)
Acts as vanilla Silk Touch.
Autosmelt (max 1 per tool)
Smelts drops from mined blocks like a Furnace.
No, luck doesn't work with it, you might have to wait 1.18 for that.
Expanded (max 1 per tool in vanilla TiC)
Increases the tool's area of effect. E.g. Hammers will mine a bigger area, Vein Hammers will mine blocks further away, Scythes will harvest and till a bigger area, ...
Exchanging (max 1 per tool)
Replaces mined blocks with the block held in the offhand.
Glowing (max 1 per tool)
Makes the tool place a glowball on right-click. Doing this damages the tool by 10.
Pathing (max 1 per tool)
Makes the tool able to create paths like shovels. Tools with an AoE will create paths in the area.
Stripping (max 1 per tool) Makes the tool able to strip logs like axes. Tools with an AoE will strip all the blocks in the area.
Tilling (max 1 per tool) Makes the tool able to till soil like hoes. Tools with an AoE will till all the blocks in the area.
Firestarter (max 1 per tool) Makes the tool able to create fire like a Flint and Steel. Tools with an AoE will create fire in the area.

Extra Modifier Slots

Add more Upgrade / Ability slots to you tool.

Writable, Recapitated, Harmonius, Resurrected (max 1 per tool)
Adds 1 more Upgrade slot to the tool
Draconic
Adds 1 more Ability slot to the tool
Gilded
Exchange one Ability slot with 2 Upgrade slots

Modifiers Hand-to-hand

A list of Abilities, Traits and Upgrades that affect a specific modifier.

Tank

This modifier makes the tool able to store liquids.

Tank (Upgrade) (up to level 5)
Increases the tank capacity of the tool by 8 ingots (or 1152 mb) per level.
Melting (Ability) (max 1 per tool)
Causes dropped items and attacked entities to be melted into the tools tank.
Increases the tools tank capacity by 9 ingots, or 1296 mb.
Maximum fluid per hit produced at around 4 damage (2 hearts) for most mobs.
Bucketing (Ability) (max 1 per tool) Allows the tool to pick up fluids on use and place fluids when sneaking.
Also increases the tools tank capacity by 1000 mb and rounds it to the nearest 1000 mb.
Spilling (Ability) (max 1 per tool) Drains a small amount of fluid (typically between 16 mb to 50 mb) from tools' tank to boost attacks with special effects.
A list of the effects is at the bottom of the Gist.

Overslime

This modifier makes the tool have a second durability bar that gets drained before the normal durability bar.
If the tool has no Overslime Trait (Overgrowth, Overcast or Overlord) the tool loses 10% attack damage and 10% mining speed.
Overslime traits are applied in the following order: Overslime > Overforced > Overcast flat bonus > Overcast % bonus > Overlord.

Overslime (Slotless)
Applied using Slime Crystals restores Overslime durability.
Overgrowth (Trait)
5% chance per level each second to restore 1 Overslime durability.
Overcast (Trait)
Increases Overslime capacity by 25 per level plus 50% per level.
Overlord (Trait)
Reduces the tool durability by 15% (of base durability) per level (max 90%) but increases Overslime capacity by 10% of base durability per level.
Overforced (Upgrade) (up to level 5)
Grants +75 Overslime capacity per level

Traits

Cultivated
+50% repair per level.
Jagged
sqrt(tool_damage * level / tool_durability_modifier) * 0.05% bonus damage and mining speed reduction.
Basically it's the 5% of the square root of the tool damage (per level).
tool_durability_modifier it's the durability modifier of some tools like Hammers that have 4x durability.
Stonebound
sqrt(tool_damage * level / tool_durability_modifier) * 0.05% bonus mining speed and damage reduction.
Basically it's the 5% of the square root of the tool damage (per level).
tool_durability_modifier it's the durability modifier of some tools like Hammers that have 4x durability.
Fractured
0.5 (0.25 hearts) bonus damage per level.
Sturdy
Increases tool durability by 10%.
Searing
Higher temperatures mean higher damage. 0 Bonus damage at 0.75t. Level * 2.5 bonus damage at 2.0t and Level * -2.5 bonus damage at -0.5t.
Scorching
Tool deals 2 (1 heart) more damage per level to entities on fire. The bonus scales with tool Attack Damage modifier.
Dwarven
The lower you mine, the faster you break blocks. Bonus starts at Y=64 up to 10% mining speed (per level) at Y=0.
Raging
The lower the player's health, the higher the damage. Bonus damage is 4 (2 hearts) per level when player's health is at 2 (1 hearts) scaling to 0 when player's health is at 10 (5 hearts).
Lacerating
50% chance to apply bleeding. Bleeding level is the same as the Trait and is applied between 2s and 6s (+1 second per Bleeding level).
Damage dealt each second is 0.5 (0.25 hearts) per level of Bleeding.
Maintained
10% bonus mining speed while the tool sits at 100% base durability down to 0% at 50% base durability. Increased by another 5% every 100% more durability (e.g. using Diamond). So at 300% durability you would get 20% bonus mining speed.
Enhanced
Adds an extra Upgrade slot.
Tasty
Tool can be eaten like food granting 1 hunger and 0.1 saturation per level.
Damages the tool by 15 (per level) when eaten. Overslime, Reinforced and Unbreakable are ignored.
Lightweight
Increases Mining Speed an attack speed by 7% per level.
Momentum
Each block broken increases the mining speed for 1.5 seconds (increased / slightly decreased by tool mining speed), up to 25% (per level) at 32 blocks broken.
Insatiable
Each hit increases your damage by 0.25 for 5 seconds up to 2 bonus damage per level at 8 hits (only if the attack is fully charged).

Other slotless modifiers

Shiny (max 1 per tool)
Makes the tool glow as if enchanted.

Unused Modifiers

Red Extra Upgrade, Green Extra Upgrade, Blue Extra Upgrade
Extra upgrade slots for Modpack Makers.
Extra Ability
Extra Ability Slot for Modpack Makers.
Creative Slot
??? (Seems to give a modifier slot which can either be Upgrade or Ability)

Spilling effects

Blazing Blood (50mb): Deals 3 fire damage and sets the target on fire for 5 seconds. Target must not be fire immune.
Blood (50mb): Gives Hunger I for 20 seconds to the target.
Clay (50mb): Deals 1.5 fire damage and sets the target on fire for 3 seconds. Target must not be fire immune.
Earth Slime (50mb): Gives Luck I and Slowness I for 15 seconds to the target.
Ender Slime (50mb): Gives Levitation I for 5 seconds and Slowness I for 15 seconds to the target.
Glass (100mb): Deals 1 fire damage and sets the target on fire for 3 seconds. Target must not be fire immune.
Lava (50mb): Deals 2 fire damage and sets the target on fire for 10 seconds. Target must not be fire immune.
Liquid Soul (50mb): Gives Slowness II for 25 seconds and Blindness I for 5 seconds to the target.
Magma (50mb): Gives Fire Resistance for 25 seconds to the target.
Metal (16mb): Deals 1.5/2/2.5 fire damage (for Cheap/Average/Expensive metals) and sets the target on fire for 7 seconds. Target must not be fire immune.
Milk (50mb): Cures the active potion effects of the target.
Molten Ender (50mb): Deals 1 magic damage and teleports the target.
Molten Gold (16mb): Deals 2 magic damage and sets the target on fire for 3 seconds. Target must not be fire immune.
Molten Pig Iron (16mb): Deals 1 fire damage and sets the target on fire for 3 seconds. Target must not be fire immune. Also gives Saturation I for 10 seconds.
Molten Uranium (16mb): Deals 1.5 fire damage and sets the target on fire for 3 seconds. Target must not be fire immune. Also gives Poison I for 10 seconds.
Sky Slime (50mb): Gives Jump Boost I for 20 seconds and Slowness I for 15 seconds to the target.
Venom: (50mb): Gives Poison I for 25 seconds to the target.
Water (50mb): Deals 2 piercing (I guess damage that bypasses armor) damage to the target.