# Vector distance and Pythagorean computation Calculate distance and hypotenuse of vectors. ## Topics ### Vector hypotenuse computation [`static func hypot(U, V) -> [Float]`](/documentation/Accelerate/vDSP/hypot(_:_:)-5grex) Returns the single-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of the two input vectors. [`static func hypot(U, V) -> [Double]`](/documentation/Accelerate/vDSP/hypot(_:_:)-7ku7m) Returns the double-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of the two input vectors. [`static func hypot(T, U, result: inout V)`](/documentation/Accelerate/vDSP/hypot(_:_:result:)-5d8pw) Calculates the single-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of the two input vectors. [`static func hypot(T, U, result: inout V)`](/documentation/Accelerate/vDSP/hypot(_:_:result:)-1z10j) Calculates the double-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of the two input vectors. [`static func hypot(x0: R, x1: S, y0: T, y1: U) -> [Float]`](/documentation/Accelerate/vDSP/hypot(x0:x1:y0:y1:)-15wy5) Returns the single-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. [`static func hypot(x0: R, x1: S, y0: T, y1: U) -> [Double]`](/documentation/Accelerate/vDSP/hypot(x0:x1:y0:y1:)-12d4r) Returns the double-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. [`static func hypot(x0: R, x1: S, y0: T, y1: U, result: inout V)`](/documentation/Accelerate/vDSP/hypot(x0:x1:y0:y1:result:)-7ksm) Calculates the single-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. [`static func hypot(x0: R, x1: S, y0: T, y1: U, result: inout V)`](/documentation/Accelerate/vDSP/hypot(x0:x1:y0:y1:result:)-4pizr) Calculates the double-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. ### Vector Pythagorean computation [`extern void vDSP_vpythg(const float *__A, vDSP_Stride __IA, const float *__B, vDSP_Stride __IB, const float *__C, vDSP_Stride __IC, const float *__D, vDSP_Stride __ID, float *__E, vDSP_Stride __IE, vDSP_Length __N);`](/documentation/Accelerate/vDSP_vpythg) Calculates the single-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. [`extern void vDSP_vpythgD(const double *__A, vDSP_Stride __IA, const double *__B, vDSP_Stride __IB, const double *__C, vDSP_Stride __IC, const double *__D, vDSP_Stride __ID, double *__E, vDSP_Stride __IE, vDSP_Length __N);`](/documentation/Accelerate/vDSP_vpythgD) Calculates the double-precision hypotenuses of right triangles with legs that are the differences of corresponding elements of two pairs of vectors. ### Vector distance computation [`extern void vDSP_vdist(const float *__A, vDSP_Stride __IA, const float *__B, vDSP_Stride __IB, float *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_vdist) Calculates the single-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of two pairs of vectors. [`extern void vDSP_vdistD(const double *__A, vDSP_Stride __IA, const double *__B, vDSP_Stride __IB, double *__C, vDSP_Stride __IC, vDSP_Length __N);`](/documentation/Accelerate/vDSP_vdistD) Calculates the double-precision hypotenuses of right triangles with legs that are the lengths of corresponding elements of two pairs of vectors. [`static func distanceSquared(U, V) -> Float`](/documentation/Accelerate/vDSP/distanceSquared(_:_:)-2dvb6) Returns the single-precision distance squared between two points in n-dimensional space. [`static func distanceSquared(U, V) -> Double`](/documentation/Accelerate/vDSP/distanceSquared(_:_:)-3oub3) Returns the double-precision distance squared between two points in n-dimensional space. [`extern void vDSP_distancesq(const float *__A, vDSP_Stride __IA, const float *__B, vDSP_Stride __IB, float *__C, vDSP_Length __N);`](/documentation/Accelerate/vDSP_distancesq) Calculates the single-precision distance squared between two points in n-dimensional space. [`extern void vDSP_distancesqD(const double *__A, vDSP_Stride __IA, const double *__B, vDSP_Stride __IB, double *__C, vDSP_Length __N);`](/documentation/Accelerate/vDSP_distancesqD) Calculates the double-precision distance squared between two points in n-dimensional space. --- 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)