---
title: "convert(polarCoordinates:toRectangularCoordinates:)"
framework: accelerate
role: symbol
role_heading: Type Method
path: "accelerate/vdsp/convert(polarcoordinates:torectangularcoordinates:)-3vpjf"
---

# convert(polarCoordinates:toRectangularCoordinates:)

Converts single-precision polar coordinates to rectangular coordinates.

## Declaration

```swift
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

Discussion The function calls the underlying 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:     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)

## See Also

### Converting polar coordinates to rectangular coordinates

- [polarToRectangular(_:)](accelerate/vdsp/polartorectangular(_:)-8upqj.md)
- [polarToRectangular(_:)](accelerate/vdsp/polartorectangular(_:)-jgv8.md)
- [convert(polarCoordinates:toRectangularCoordinates:)](accelerate/vdsp/convert(polarcoordinates:torectangularcoordinates:)-22zz0.md)