# simd_half16 A vector of sixteen 16-bit floating-point elements. ``` typealias simd_half16 = SIMD16 ``` ## Topics ### Functions to create 16-element vectors from other vectors [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-7jegv) Returns a new vector from the specified two-element vector, and other elements set to zero. [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-7fwvg) Returns a new vector from the specified three-element vector, and other elements set to zero. [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-7czq5) Returns a new vector from the specified four-element vector, and other elements set to zero. [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-8jb49) Returns a new vector from the specified eight-element vector, and other elements set to zero. [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-2eeq3) Returns a new vector from the specified vector. [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-18zo3) Returns a new vector by truncating the specified 32-element vector. [`simd_make_half16_undef(_:)`](/documentation/simd/simd_make_half16_undef(_:)-nn1z) Returns a new vector from the specified two-element vector, and other elements undefined. [`simd_make_half16_undef(_:)`](/documentation/simd/simd_make_half16_undef(_:)-qkco) Returns a new vector from the specified three-element vector, and other elements undefined. [`simd_make_half16_undef(_:)`](/documentation/simd/simd_make_half16_undef(_:)-hd79) Returns a new vector from the specified four-element vector, and other elements undefined. [`simd_make_half16_undef(_:)`](/documentation/simd/simd_make_half16_undef(_:)-1lcb5) Returns a new vector from the specified eight-element vector, and other elements undefined. [`simd_make_half16(_:_:)`](/documentation/simd/simd_make_half16(_:_:)) Returns a new vector from the specified vectors. ### Functions to create 16-element vectors from scalar values [`simd_make_half16(_:)`](/documentation/simd/simd_make_half16(_:)-923w5) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_half16_undef(_:)`](/documentation/simd/simd_make_half16_undef(_:)-5x8m) Returns a new vector with the first element set to a scalar value, and other elements undefined. ### Functions to create 16-element vectors from vectors of other types [`simd_half`](/documentation/simd/simd_half-227sx) Returns a new vector from the specified vector of 8-bit, signed-integer elements. [`simd_half`](/documentation/simd/simd_half-21y0x) Returns a new vector from the specified vector of 8-bit, unsigned-integer elements. [`simd_half`](/documentation/simd/simd_half-22cyp) Returns a new vector from the specified vector of 16-bit, signed-integer elements. [`simd_half`](/documentation/simd/simd_half-222xt) Returns a new vector from the specified vector of 16-bit, unsigned-integer elements. [`simd_half`](/documentation/simd/simd_half-229ux) Returns a new vector from the specified vector of 32-bit, signed-integer elements. [`simd_half`](/documentation/simd/simd_half-21zqh) Returns a new vector from the specified vector of 32-bit, unsigned-integer elements. [`simd_half`](/documentation/simd/simd_half-21zmj) Returns a new vector from the specified vector of 16-bit, floating-point elements. [`simd_half`](/documentation/simd/simd_half-21z2n) Returns a new vector from the specified vector of 32-bit, floating-point elements. ### Common functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-47hrc) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-5xcny) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-9ijsx) 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(_:)-6v27d) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-tcn7) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-7ryeb) 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(_:)-7n2m4) Returns the sum of all elements in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-8iq8z) Returns the maximum value in a vector. [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-3cxx5) Returns the minimum value in a vector. ### Interpolation functions [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-7hbla) Returns an element-wise linearly interpolated value between two vectors. [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-4twuq) Returns an element-wise smoothly interpolated value between two vectors. ### Extrema functions [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-9p9g1) Returns the maximum value of each element in a vector. [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-4gxfx) Returns the minimum value of each element in a vector. ### Reciprocal and reciprocal square root functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-5bvrv) Returns the reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-765rp) Returns the reciprocal square root of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-5icut) Returns the precise reciprocal of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-6j2jj) Returns the precise reciprocal square root of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-mw6p) Returns the fast reciprocal of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-686mo) Returns the fast reciprocal square root of each element in a vector. ### Geometry functions [`simd_dot`](/documentation/simd/simd_dot-8gymo) Returns the dot product of two vectors. [`simd_normalize`](/documentation/simd/simd_normalize-3r6p1) 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-fo8a) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-53d5a) Returns the precise normalized vector. [`simd_project`](/documentation/simd/simd_project-4n2u6) Returns the first vector projected onto the second vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-7slej) Returns the precise projected vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-95iib) Returns the fast projected vector. ### Vector norm functions [`simd_norm_one`](/documentation/simd/simd_norm_one-2djve) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-2x7b8) Returns the maximum absolute value of a vector. ### Length and distance functions [`simd_length`](/documentation/simd/simd_length-576ia) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-3ecug) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-bxb3) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-7mlpe) Returns the square of the length of a vector. [`simd_distance`](/documentation/simd/simd_distance-2dror) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-1pqse) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-wp3e) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-m1wr) Returns the square of the distance between two vectors. ### Logic functions [`simd_select(_:_:_:)`](/documentation/simd/simd_select(_:_:_:)-7d7xj) 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(_:_:_:)-92kfc) 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(_:_:_:)-8bkab) 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)