> For the complete documentation index, see [llms.txt](https://docs.ferra.ag/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.ferra.ag/integration/dlmm/typescript-sdk/add-liquidity/curve-distribution.md).

# CURVE Distribution

Concentrate liquidity using a Gaussian (bell curve) distribution around the current price. Balances capital efficiency with range coverage. Visit the [Shapes and Strategy](/core-protocols/quickstart/shapes-and-strategies.md) section for more details.

### Quick Implementation

```typescript
import { DistributionUtils } from '@ferra-labs/dlmm';

// Create CURVE distribution
const curveParams = DistributionUtils.createParams(
  DistributionUtils.CURVE,
  {
    activeId: pair.parameters.active_id,
    binRange: [activeId - 20, activeId + 20],
    parsedAmounts: [
      new Decimal(1000),  // token X
      new Decimal(1000)   // token Y
    ],
    alpha: 0.1  // Concentration factor (0-1)
  }
);

// Add liquidity
const tx = await sdk.Pair.openPositionAndAddLiquidity(pair, {
  amountX: 1000000000n,
  amountY: 1000000000n,
  ...curveParams
});
```

### Alpha Parameter

Controls concentration level:

* **0.1**: High concentration (narrow peak)
* **0.5**: Moderate concentration
* **0.9**: Low concentration (approaches uniform)

```typescript
// Tight concentration for stable pairs
alpha: 0.1  // 90% liquidity in ±5 bins

// Balanced for volatile pairs
alpha: 0.5  // Wider distribution
```

### Manual Implementation

```typescript
// Simple approximation of Gaussian
const radius = 10;
const center = 0;

const deltaIds = Array.from({length: 21}, (_, i) => i - radius);
const distribution = deltaIds.map(id => {
  // Higher values near center
  const distance = Math.abs(id - center);
  return Math.exp(-(distance ** 2) / (2 * 4)); // sigma = 2
});

// Normalize to 100
const sum = distribution.reduce((a, b) => a + b);
const normalized = distribution.map(v => (v / sum) * 100);
```

### Best Use Cases

✅ **Ideal for:**

* ETH/USDC (major pairs)
* Most trading strategies
* Fee optimization
* Active markets

❌ **Less suitable for:**

* Extreme volatility
* Wide range needs
* Passive strategies

### Choosing Alpha

| Asset Type | Recommended Alpha | Description         |
| ---------- | ----------------- | ------------------- |
| Blue-chip  | 0.1-0.3           | Tight concentration |
| Standard   | 0.3-0.5           | Balanced approach   |
| Volatile   | 0.5-0.7           | Wider coverage      |

### Key Benefits

* Higher fee capture near price
* Maintains some range coverage
* Efficient capital usage
* Natural rebalancing incentive

### Related Topics

* [SPOT Distribution](/integration/dlmm/typescript-sdk/add-liquidity/spot-distribution.md) - Uniform alternative
* [BID-ASK Distribution](/integration/dlmm/typescript-sdk/add-liquidity/bid-ask-distribution.md) - Market making
* [Bin Selection](broken://pages/pBEKaHkdvZrCYWt7Kd0C) - Optimize placement