# Complex basic arithmetic Perform element-wise operations on vectors of complex values. ## Topics ### Binary Addition Operations [`vDSP_zvadd`](/documentation/Accelerate/vDSP_zvadd) Adds two single-precision complex vectors. [`vDSP_zvaddD`](/documentation/Accelerate/vDSP_zvaddD) Adds two double-precision complex vectors. ### Binary Subtraction Operations [`vDSP_zvsub`](/documentation/Accelerate/vDSP_zvsub) Subtracts two single-precision complex vectors. [`vDSP_zvsubD`](/documentation/Accelerate/vDSP_zvsubD) Subtracts two double-precision complex vectors. ### Binary Conjugate-Multiply Operations [`vDSP_zvcmul`](/documentation/Accelerate/vDSP_zvcmul) Multiplies a single-precision complex vector by the conjugate of another single-precision complex vector. [`vDSP_zvcmulD`](/documentation/Accelerate/vDSP_zvcmulD) Multiplies a double-precision complex vector by the conjugate of another double-precision complex vector. ### Binary Optional Conjugate-Multiply Operations [`vDSP_zvmul`](/documentation/Accelerate/vDSP_zvmul) Multiplies a single-precision complex vector by the optionally conjugate of another single-precision complex vector. [`vDSP_zvmulD`](/documentation/Accelerate/vDSP_zvmulD) Multiplies a double-precision complex vector by the optionally conjugate of another double-precision complex vector. ### Binary Division Operations [`vDSP_zvdiv`](/documentation/Accelerate/vDSP_zvdiv) Divides two complex single-precision vectors. [`vDSP_zvdivD`](/documentation/Accelerate/vDSP_zvdivD) Divides two complex double-precision vectors. ### Binary Transfer Operations [`vDSP_ztrans`](/documentation/Accelerate/vDSP_ztrans) Divides a complex single-precision vector by a real single-precision vector. [`vDSP_ztransD`](/documentation/Accelerate/vDSP_ztransD) Divides a complex double-precision vector by a real double-precision vector. ### Binary (Complex-Real) Addition Operations [`vDSP_zrvadd`](/documentation/Accelerate/vDSP_zrvadd) Adds a single-precision complex vector to a single-precision real vector. [`vDSP_zrvaddD`](/documentation/Accelerate/vDSP_zrvaddD) Adds a double-precision complex vector to a double-precision real vector. ### Binary (Complex-Real) Subtraction Operations [`vDSP_zrvsub`](/documentation/Accelerate/vDSP_zrvsub) Subtracts a single-precision real vector from a single-precision complex vector. [`vDSP_zrvsubD`](/documentation/Accelerate/vDSP_zrvsubD) Subtracts a double-precision real vector from a double-precision complex vector. ### Binary (Complex) Multiplication Operations [`vDSP_zvzsml`](/documentation/Accelerate/vDSP_zvzsml) Calculates the single-precision element-wise product of a complex vector and a complex scalar value, using the specified stride. [`vDSP_zvzsmlD`](/documentation/Accelerate/vDSP_zvzsmlD) Calculates the double-precision element-wise product of a complex vector and a complex scalar value, using the specified stride. ### Binary (Complex-Real) Multiplication Operations [`vDSP_zrvmul`](/documentation/Accelerate/vDSP_zrvmul) Multiplies a single-precision complex vector by a single-precision real vector. [`vDSP_zrvmulD`](/documentation/Accelerate/vDSP_zrvmulD) Multiplies a double-precision complex vector by a double-precision real vector. ### Binary (Complex-Real) Division Operations [`vDSP_zrvdiv`](/documentation/Accelerate/vDSP_zrvdiv) Divides a single-precision complex vector by a single-precision real vector. [`vDSP_zrvdivD`](/documentation/Accelerate/vDSP_zrvdivD) Divides a double-precision complex vector by a double-precision real vector. ### Ternary Multiply-Add Operations [`vDSP_zvma`](/documentation/Accelerate/vDSP_zvma) Adds a single-precision complex vector to the product of two single-precision complex vectors. [`vDSP_zvmaD`](/documentation/Accelerate/vDSP_zvmaD) Adds a double-precision complex vector to the product of two double-precision complex vectors. [`vDSP_zvsma`](/documentation/Accelerate/vDSP_zvsma) Calculates the single-precision element-wise addition of the product of a complex vector and a complex scalar value, and a complex vector, using the specified stride. [`vDSP_zvsmaD`](/documentation/Accelerate/vDSP_zvsmaD) Calculates the double-precision element-wise addition of the product of a complex vector and a complex scalar value, and a complex vector, using the specified stride. ### Ternary Conjugate-Multiply-Add [`vDSP_zvcma`](/documentation/Accelerate/vDSP_zvcma) Adds a single-precision complex vector to the product of a single-precision complex vector and the conjugate of another complex single-precision vector. [`vDSP_zvcmaD`](/documentation/Accelerate/vDSP_zvcmaD) Adds a double-precision complex vector to the product of a double-precision complex vector and the conjugate of another complex double-precision vector. ### Quinary Multiply-Multiply-Add-Add [`vDSP_zvmmaa`](/documentation/Accelerate/vDSP_zvmmaa) Adds a single-precision complex vector to the sum of the product of two single-precision complex vectors and a second product of two single-precision complex vectors. [`vDSP_zvmmaaD`](/documentation/Accelerate/vDSP_zvmmaaD) Adds a double-precision complex vector to the sum of the product of two double-precision complex vectors and a second product of two double-precision complex vectors. --- 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)