# simd_float16 A vector of sixteen 32-bit floating-point elements. ``` typealias simd_float16 = SIMD16 ``` ## Topics ### Functions to Create 16-Element Vectors From Other Vectors [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-73rau) Returns a new vector from the specified two-element vector, and other elements set to zero. [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-76ned) Returns a new vector from the specified three-element vector, and other elements set to zero. [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-6v3h4) Returns a new vector from the specified four-element vector, and other elements set to zero. [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-81hjg) Returns a new vector from the specified eight-element vector, and other elements set to zero. [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-5j0rl) Returns a new vector from the specified vector. [`simd_make_float16(_:_:)`](/documentation/simd/simd_make_float16(_:_:)) Returns a new vector from the specified vectors. [`vector16`](/documentation/simd/vector16-8kycm) Returns a new vector from the specified vectors. [`simd_make_float16_undef(_:)`](/documentation/simd/simd_make_float16_undef(_:)-3f8p6) Returns a new vector from the specified two-element vector, and other elements undefined. [`simd_make_float16_undef(_:)`](/documentation/simd/simd_make_float16_undef(_:)-3bslp) Returns a new vector from the specified three-element vector, and other elements undefined. [`simd_make_float16_undef(_:)`](/documentation/simd/simd_make_float16_undef(_:)-38xrw) Returns a new vector from the specified four-element vector, and other elements undefined. [`simd_make_float16_undef(_:)`](/documentation/simd/simd_make_float16_undef(_:)-4f6xc) Returns a new vector from the specified three-element vector, and other elements undefined. ### Functions to Create 16-Element Vectors From Scalar Values [`simd_make_float16(_:)`](/documentation/simd/simd_make_float16(_:)-4r3a8) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_float16_undef(_:)`](/documentation/simd/simd_make_float16_undef(_:)-71tt7) 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_float`](/documentation/simd/simd_float-33quw) Returns a new vector from the specified vector of 8-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-33h14) Returns a new vector from the specified vector of 8-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-33lyw) Returns a new vector from the specified vector of 16-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-33bqw) Returns a new vector from the specified vector of 16-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-33os8) Returns a new vector from the specified vector of 32-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-33eyg) Returns a new vector from the specified vector of 32-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-33i8s) Returns a new vector from the specified vector of 32-bit, floating-point elements. ### Alternative Type Alias [`vector_float16`](/documentation/simd/vector_float16) ### Common Functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-47h6g) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-92son) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-376kl) 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(_:)-6v1ix) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-tc2v) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-14cn0) Returns zero for each element in a vector less than a specified edge, and otherwise returns one. ### Reduce Functions [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-3d29t) Returns the miniumum value in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-8iok7) Returns the maximum value in a vector. [`simd_reduce_add(_:)`](/documentation/simd/simd_reduce_add(_:)-7n310) Returns the sum of all elements in a vector. ### Interpolation Functions [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-2q68m) Returns an element-wise smoothly interpolated value between two vectors. [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-1hgrq) Returns an element-wise linearly interpolated value between two vectors. ### Extrema Functions [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-6clj9) Returns the minimum value of each element in a vector. [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-90s23) Returns the maximum value of each element in a vector. ### Reciprocal and Reciprocal Square Root Functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-5bwdz) Returns the reciprocal of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-mza9) Returns the fast reciprocal of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-5ic8t) Returns the precise reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-76a19) Returns the reciprocal square root of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-6862g) Returns the fast reciprocal square root of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-6j35f) Returns the precise reciprocal square root of each element in a vector. ### Exponential and Logarithmic Functions [`exp(_:)`](/documentation/simd/exp(_:)-2ru57) Returns *e* raised to the power of each element in a vector. [`exp2(_:)`](/documentation/simd/exp2(_:)-271hg) Returns 2 raised to the power of each element in a vector. [`exp10(_:)`](/documentation/simd/exp10(_:)-165iq) Returns 10 raised to the power of each element in a vector. [`expm1(_:)`](/documentation/simd/expm1(_:)-90g3j) Returns *eˣ-1* for each element in a vector. [`log(_:)`](/documentation/simd/log(_:)-44j3q) Returns the natural logarithm of each element in a vector. [`log2(_:)`](/documentation/simd/log2(_:)-8nusk) Returns the base 2 logarithm of each element in a vector. [`log10(_:)`](/documentation/simd/log10(_:)-7eq4p) Returns the base 10 logarithm of each element in a vector. [`log1p(_:)`](/documentation/simd/log1p(_:)-2uw4e) Returns *log(1+x)* of each element in a vector. ### Geometry Functions [`simd_dot`](/documentation/simd/simd_dot-z7ab) Returns the dot product of two vectors. [`simd_project`](/documentation/simd/simd_project-4ofki) Returns the first vector projected onto the second vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-4kt3u) Returns the fast projected vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-39090) Returns the precise projected vector. [`simd_normalize`](/documentation/simd/simd_normalize-3r4t9) 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-fjva) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-53f8a) Returns the precise normalized vector. ### Vector Norm Functions [`simd_norm_one`](/documentation/simd/simd_norm_one-2dgnq) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-2x7vw) Returns the maximum absolute value of a vector. ### Length and Distance Functions [`simd_length`](/documentation/simd/simd_length-575we) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-3edeo) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-bswz) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-7moqe) Returns the square of the length of a vector. [`simd_distance`](/documentation/simd/simd_distance-7xk9e) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-56een) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-5ci0y) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-57ui2) Returns the square of the distance between two vectors. ### Hyperbolic Functions [`acosh(_:)`](/documentation/simd/acosh(_:)-4w84k) Returns the inverse hyperbolic cosine of each element in a vector. [`asinh(_:)`](/documentation/simd/asinh(_:)-6v4m) Returns the inverse hyperbolic sine of each element in a vector. [`atanh(_:)`](/documentation/simd/atanh(_:)-70pvm) Returns the inverse hyperbolic tangent of each element in a vector. [`cosh(_:)`](/documentation/simd/cosh(_:)-9kvzr) Returns the hyperbolic cosine of each element in a vector. [`sinh(_:)`](/documentation/simd/sinh(_:)-1d6si) Returns the hyperbolic sine of each element in a vector. [`tanh(_:)`](/documentation/simd/tanh(_:)-7sto5) Returns the hyperbolic tangent of each element in a vector. ### Logic Functions [`simd_select(_:_:_:)`](/documentation/simd/simd_select(_:_:_:)-41fgt) 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(_:_:_:)-wjqf) Returns a vector that contains elements from either the first or second parameter, based on the corresponding element in the third parameter. ### Math Functions [`cbrt(_:)`](/documentation/simd/cbrt(_:)-3cnri) Returns the cube root of each element in a vector. [`erf(_:)`](/documentation/simd/erf(_:)-7wkg3) Returns the error function for each element in a vector. [`erfc(_:)`](/documentation/simd/erfc(_:)-20vsh) Returns the complementary error function for each element in a vector. [`fma(_:_:_:)`](/documentation/simd/fma(_:_:_:)-503dp) Returns the multiply-add result for corresponding elements in three vectors. [`fmod(_:_:)`](/documentation/simd/fmod(_:_:)-2bys0) Returns the modulus after dividing each element in a vector by the corresponding element in a second vector. [`hypot(_:_:)`](/documentation/simd/hypot(_:_:)-265pt) Returns the hypotenuse of a right-angled triangle with the sides that are adjacent to the right angle that two vectors define. [`lgamma(_:)`](/documentation/simd/lgamma(_:)-1onkc) Returns the natural logarithm of the absolute value of the gamma function of each element in a vector. [`nextafter(_:_:)`](/documentation/simd/nextafter(_:_:)-9kvo8) Returns the next representable value of each element in a vector in the direction of the corresponding element in a second vector. [`pow(_:_:)`](/documentation/simd/pow(_:_:)-7mpyc) Returns each element in a vector raised to the power of the corresponding element in a second vector. [`remainder(_:_:)`](/documentation/simd/remainder(_:_:)-5dxqm) Returns the remainder after dividing each element in an array by the corresponding element in a second array of double-precision values. [`round(_:)`](/documentation/simd/round(_:)-74w3c) Returns each element in a vector rounded to the nearest integer. [`simd_muladd(_:_:_:)`](/documentation/simd/simd_muladd(_:_:_:)-8imv2) Returns the multiply-add result for corresponding elements in three vectors. [`tgamma(_:)`](/documentation/simd/tgamma(_:)-9r61k) Returns the gamma function for each element in a vector. ### Trigonometric Functions [`acos(_:)`](/documentation/simd/acos(_:)-9k95t) Returns the arccosine of each element in a vector. [`asin(_:)`](/documentation/simd/asin(_:)-52bly) Returns the arcsine of each element in a vector. [`atan(_:)`](/documentation/simd/atan(_:)-7y100) Returns the arctangent of each element in a vector. [`atan2(_:_:)`](/documentation/simd/atan2(_:_:)-5dweo) Returns the arctangent of each pair of corresponding elements in two vectors. [`cos(_:)`](/documentation/simd/cos(_:)-40gvn) Returns the cosine of each element in a vector. [`cospi(_:)`](/documentation/simd/cospi(_:)-7kfdh) Returns the cosine of each element in a vector multiplied by pi. [`sin(_:)`](/documentation/simd/sin(_:)-7e17y) Returns the sine of each element in a vector. [`sinpi(_:)`](/documentation/simd/sinpi(_:)-6d2hq) Returns the sine of each element in a vector multiplied by pi. [`sincos(_:)`](/documentation/simd/sincos(_:)-go67) Returns the sine and cosine of each element in a vector. [`sincospi(_:)`](/documentation/simd/sincospi(_:)-h3av) Returns the sine and cosine of each element in a vector multiplied by pi. [`tan(_:)`](/documentation/simd/tan(_:)-5q9ad) Returns the tangent of each element in a vector. [`tanpi(_:)`](/documentation/simd/tanpi(_:)-2vht8) Returns the tangent of each element in a vector multiplied by pi. ### Classification Functions [`isfinite(_:)`](/documentation/simd/isfinite(_:)-8bt9t) Returns true for each element that is finite in a vector. [`isinf(_:)`](/documentation/simd/isinf(_:)-77t4f) Returns true for each element that is infinite in a vector. [`isnan(_:)`](/documentation/simd/isnan(_:)-3ek5k) Returns true for each element that is not a number (NaN) in a vector. [`isnormal(_:)`](/documentation/simd/isnormal(_:)-86aj9) Returns true for each element that is normal in a vector. --- Copyright © 2026 Apple Inc. 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