logarithmic.dev

The curve library

Every curve tells a story

A bonding curve sets the price of every token from the first to the last. Its shape decides who gets rewarded, how fair the launch feels, and how the chart reacts when people sell. All curves below use the same launch (30 SOL) and graduation (420 SOL) market caps. Only the shape differs.

Early reward · How much the first 10% of buyers gain by graduation.
Fairness · How close early and late buyers are in the price they pay.
Resilience · How little the price falls if the last 10% of supply is sold back.
Price discovery · How far the price travels from launch to graduation.
Late capital · How much of the raise arrives near the end of the curve.

Logarithmic

Fast ignition, steady plateau

Price climbs quickly at first, then flattens. Built for coins that want a calm, community-held top instead of a vertical chart.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Even playing field

First-quarter buyers pay 44% of what last-quarter buyers pay.

▲ Shock absorber

Selling 10% of supply at the top only moves price 3%.

Start from logarithmic →

Linear

Every token, same slope

Each token costs a fixed amount more than the last. Predictable and honest, with no special treatment for any phase.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Shock absorber

Selling 10% of supply at the top only moves price 9%.

Start from linear →

Exponential

Conviction pays

Price compounds with every sale. The earliest believers are rewarded the most, and the top is a steep wall.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Cheap to enter

Most of the curve is affordable; capital concentrates near the end.

▼ Hard final stretch

Half the raise arrives after 76% of supply is sold.

Start from exponential →

Sigmoid

Accumulate, break out, settle

A quiet accumulation zone, a breakout around the midpoint, then a plateau. Captures a story arc.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Shock absorber

Selling 10% of supply at the top only moves price 1%.

▲ Cheap to enter

Most of the curve is affordable; capital concentrates near the end.

▼ Hard final stretch

Half the raise arrives after 73% of supply is sold.

▲ Breakout zone

Quiet accumulation, a sharp run, then a stable plateau.

Start from sigmoid →

Power

Tune the bend

A single exponent bends the curve. Below 1 behaves like a log curve, above 1 like an exponential.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Cheap to enter

Most of the curve is affordable; capital concentrates near the end.

▼ Hard final stretch

Half the raise arrives after 76% of supply is sold.

Start from power →

Stepped

Rounds and milestones

Price moves in discrete tiers, like presale rounds. Each tier is a milestone the community can rally around.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Shock absorber

Selling 10% of supply at the top only moves price 0%.

▲ Cheap to enter

Most of the curve is affordable; capital concentrates near the end.

▼ Hard final stretch

Half the raise arrives after 75% of supply is sold.

▼ Edge races

Buyers compete for the last tokens before each price tier.

Start from stepped →

Custom

Draw your own

Drag control points to shape the curve any way you like. It stays smooth and always rises.

Early rewardFairnessResiliencePrice discoveryLate capital
▲ Cheap to enter

Most of the curve is affordable; capital concentrates near the end.

▼ Hard final stretch

Half the raise arrives after 76% of supply is sold.

Start from custom →
LiveNetwork mainnet-betaSlot —Powered by Meteora Dynamic Bonding Curves