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# convert(polarCoordinates:toRectangularCoordinates:)

Converts single-precision polar coordinates to rectangular coordinates.

```
static func convert<U, V>(polarCoordinates: U, toRectangularCoordinates rectangularCoordinates: inout V) where U : AccelerateBuffer, V : AccelerateMutableBuffer, U.Element == Float, V.Element == Float
```

## Parameters

`polarCoordinates`

The source polar coordinates.

`rectangularCoordinates`

On output, the rectangular coordinates.

## Discussion

The function calls the underlying [`vDSP_rect`](/documentation/Accelerate/vDSP_rect) function to convert the input angle-radius pairs to Cartesian x-y pairs.

The following code shows how to convert an angle-radius pair (with the angle specified in degress) to its rectangular equivalent:

```swift
    let angle = Measurement(value: 45,
                            unit: UnitAngle.degrees)
        .converted(to: UnitAngle.radians)
        .value

    let radius = sqrt(25.0 + 25.0)

    let polarCoordinates = [radius, angle].map { Float($0) }

    let rectangularCoordinates = [Float](unsafeUninitializedCapacity: 2) {
        buffer,initializedCount in
        
        vDSP.convert(
            polarCoordinates: polarCoordinates,
            toRectangularCoordinates: &buffer
        )
        
        initializedCount = 2
    }
    
    // Prints "[5.0, 5.0]".
    print(rectangularCoordinates)
```

---

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