# Polar-rectangular conversion Convert each element of a vector between radius-angle and Cartesian pairs. ## Topics ### Converting polar coordinates to rectangular coordinates [`static func polarToRectangular(U) -> [Float]`](/documentation/Accelerate/vDSP/polarToRectangular(_:)-8upqj) Returns single-precision rectangular coordinates converted from polar coordinates. [`static func polarToRectangular(U) -> [Double]`](/documentation/Accelerate/vDSP/polarToRectangular(_:)-jgv8) Returns double-precision rectangular coordinates converted from polar coordinates. [`static func convert(polarCoordinates: U, toRectangularCoordinates: inout V)`](/documentation/Accelerate/vDSP/convert(polarCoordinates:toRectangularCoordinates:)-3vpjf) Converts single-precision polar coordinates to rectangular coordinates. [`static func convert(polarCoordinates: U, toRectangularCoordinates: inout V)`](/documentation/Accelerate/vDSP/convert(polarCoordinates:toRectangularCoordinates:)-22zz0) Converts double-precision polar coordinates to rectangular coordinates. [`extern void vDSP_rect(const float *__A, vDSP_Stride __IA, float *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_rect) Converts single-precision polar coordinates to rectangular coordinates, using the specified stride. [`extern void vDSP_rectD(const double *__A, vDSP_Stride __IA, double *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_rectD) Converts double-precision polar coordinates to rectangular coordinates, using the specified stride. ### Converting rectangular coordinates to polar coordinates [`static func rectangularToPolar(U) -> [Float]`](/documentation/Accelerate/vDSP/rectangularToPolar(_:)-5p4kg) Returns single-precision polar coordinates converted from rectangular coordinates. [`static func rectangularToPolar(U) -> [Double]`](/documentation/Accelerate/vDSP/rectangularToPolar(_:)-3txg1) Returns double-precision polar coordinates converted from rectangular coordinates. [`static func convert(rectangularCoordinates: U, toPolarCoordinates: inout V)`](/documentation/Accelerate/vDSP/convert(rectangularCoordinates:toPolarCoordinates:)-1zi4t) Converts single-precision rectangular coordinates to polar coordinates. [`static func convert(rectangularCoordinates: U, toPolarCoordinates: inout V)`](/documentation/Accelerate/vDSP/convert(rectangularCoordinates:toPolarCoordinates:)-84131) Converts double-precision rectangular coordinates to polar coordinates. [`extern void vDSP_polar(const float *__A, vDSP_Stride __IA, float *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_polar) Converts single-precision rectangular coordinates to polar coordinates, using the specified stride. [`extern void vDSP_polarD(const double *__A, vDSP_Stride __IA, double *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_polarD) Converts double-precision rectangular coordinates to polar coordinates, using the specified stride. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)