# simd_half32 A vector of thirty-two 16-bit floating-point elements. ``` typealias simd_half32 = SIMD32 ``` ## Topics ### Functions to create 32-element vectors from other vectors [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-8obpe) Returns a new vector from the specified two-element vector, and other elements set to zero. [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-8kum5) Returns a new vector from the specified three-element vector, and other elements set to zero. [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-82w1c) Returns a new vector from the specified four-element vector, and other elements set to zero. [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-997h0) Returns a new vector from the specified eight-element vector, and other elements set to zero. [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-6xe53) Returns a new vector from the specified 16-element vector, and other elements set to zero. [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-80qof) Returns a new vector from the specified vector. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-3w7jb) Returns a new vector from the specified two-element vector, and other elements undefined. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-3yzwk) Returns a new vector from the specified three-element vector, and other elements undefined. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-42h8l) Returns a new vector from the specified four-element vector, and other elements undefined. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-4gyi9) Returns a new vector from the specified eight-element vector, and other elements undefined. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-9hc0w) Returns a new vector from the specified 16-element vector, and other elements undefined. [`simd_make_half32(_:_:)`](/documentation/simd/simd_make_half32(_:_:)) Returns a new vector from the specified vectors. ### Functions to create 32-element vectors from scalar values [`simd_make_half32(_:)`](/documentation/simd/simd_make_half32(_:)-4hl1s) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_half32_undef(_:)`](/documentation/simd/simd_make_half32_undef(_:)-65xeg) Returns a new vector with the first element set to a scalar value, and other elements undefined. ### Common functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-2byol) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-868pk) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-5620v) Returns true if every element in a vector is exactly equal to the corresponding element in a second vector, and otherwise returns false. [`simd_fract(_:)`](/documentation/simd/simd_fract(_:)-4zj0y) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-9r24j) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-2kbac) Returns zero for each element in a vector less than a specified edge, and otherwise returns one. ### Reduce functions [`simd_reduce_add(_:)`](/documentation/simd/simd_reduce_add(_:)-1urk1) Returns the sum of all elements in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-9itok) Returns the maximum value in a vector. [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-2b1zw) Returns the minimum value in a vector. ### Interpolation functions [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-4qwly) Returns an element-wise linearly interpolated value between two vectors. [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-6nnf0) Returns an element-wise smoothly interpolated value between two vectors. ### Extrema functions [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-2y7nk) Returns the maximum value of each element in a vector. [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-10jj2) Returns the minimum value of each element in a vector. ### Reciprocal and reciprocal square root functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-6hfwj) Returns the reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-60bll) Returns the reciprocal square root of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-22hxl) Returns the precise reciprocal of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-8ce7i) Returns the precise reciprocal square root of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-2i3al) Returns the fast reciprocal of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-2sbqs) Returns the fast reciprocal square root of each element in a vector. ### Geometry functions [`simd_dot`](/documentation/simd/simd_dot-14m5i) Returns the dot product of two vectors. [`simd_normalize`](/documentation/simd/simd_normalize-4thje) Returns a vector pointing in the same direction of the supplied vector, with a length of 1. [`simd_fast_normalize`](/documentation/simd/simd_fast_normalize-1kyde) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-3zlx2) Returns the precise normalized vector. [`simd_project`](/documentation/simd/simd_project-40ksg) Returns the first vector projected onto the second vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-8q7gz) Returns the precise projected vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-56rgk) Returns the fast projected vector. ### Vector norm functions [`simd_norm_one`](/documentation/simd/simd_norm_one-jtbh) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-74hug) Returns the maximum absolute value of a vector. ### Length and distance functions [`simd_length`](/documentation/simd/simd_length-zvvu) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-4jwws) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-916dp) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-9h8sy) Returns the square of the length of a vector. [`simd_distance`](/documentation/simd/simd_distance-5389o) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-5ufke) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-3ed89) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-6xb9g) Returns the square of the distance between two vectors. ### Logic functions [`simd_select(_:_:_:)`](/documentation/simd/simd_select(_:_:_:)-63scw) Returns a vector that contains elements from either the first or second parameter, based on the corresponding element’s high-order bit in the mask. [`simd_bitselect(_:_:_:)`](/documentation/simd/simd_bitselect(_:_:_:)-81xk8) Returns a vector that contains elements from either the first or second parameter, based on the corresponding element in the third parameter. ### Math functions [`simd_muladd(_:_:_:)`](/documentation/simd/simd_muladd(_:_:_:)-bf1p) Returns the multiply-add result for corresponding elements in three 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)