# RealVector Reference
Fixed-length vector of real-valued genes for continuous optimization.
## Module
```rust,ignore
use fugue_evo::genome::real_vector::RealVector;
```
## Construction
```rust,ignore
// From vector
let genome = RealVector::new(vec![1.0, 2.0, 3.0]);
// With dimension
let genome = RealVector::zeros(10);
// Random within bounds
let genome = RealVector::random(&bounds, &mut rng);
```
## Methods
### Access
| `genes()` | `&[f64]` | Immutable gene access |
| `genes_mut()` | `&mut [f64]` | Mutable gene access |
| `dimension()` | `usize` | Number of genes |
| `get(i)` | `Option<f64>` | Get gene at index |
### Vector Operations
| `add(&other)` | Element-wise addition |
| `sub(&other)` | Element-wise subtraction |
| `scale(factor)` | Multiply all genes by factor |
| `norm()` | Euclidean norm |
| `euclidean_distance(&other)` | Distance between vectors |
| `dot(&other)` | Dot product |
### Statistics
| `mean()` | Mean of genes |
| `variance()` | Variance of genes |
| `sum()` | Sum of genes |
## Trace Representation
Genes are stored at indexed addresses:
```rust,ignore
// Trace structure
addr!("gene", 0) → genes[0]
addr!("gene", 1) → genes[1]
// ...
```
## Usage with Operators
### Recommended Crossover
```rust,ignore
// Simulated Binary Crossover
SbxCrossover::new(20.0)
// Blend Crossover
BlendCrossover::new(0.5)
// Uniform Crossover
UniformCrossover::new()
```
### Recommended Mutation
```rust,ignore
// Polynomial Mutation
PolynomialMutation::new(20.0)
// Gaussian Mutation
GaussianMutation::new(0.1)
```
## Example
```rust,ignore
use fugue_evo::prelude::*;
let bounds = MultiBounds::symmetric(5.12, 10);
let mut genome = RealVector::random(&bounds, &mut rng);
// Modify genes
genome.genes_mut()[0] = 1.0;
// Vector operations
let other = RealVector::random(&bounds, &mut rng);
let distance = genome.euclidean_distance(&other);
// Use in GA
let result = SimpleGABuilder::<RealVector, f64, _, _, _, _, _>::new()
.bounds(bounds)
// ...
```
## See Also
- [Continuous Optimization Tutorial](../../tutorials/continuous-optimization.md)
- [Custom Genome Types](../../how-to/custom-genome.md)