# simd_float2 A vector of two 32-bit floating-point elements. ``` typealias simd_float2 = SIMD2 ``` ## Topics ### Functions to Create Two-Element Vectors From Other Vectors [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-3nphb) Returns a new vector from the specified vector. [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-3kta4) Returns a new vector by truncating the specified three-element vector. [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-32usp) Returns a new vector by truncating the specified four-element vector. [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-493yd) Returns a new vector by truncating the specified eight-element vector. [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-4e6k3) Returns a new vector by truncating the specified 16-element vector. ### Functions to Create Two-Element Vectors From Scalar Values [`simd_make_float2(_:)`](/documentation/simd/simd_make_float2(_:)-70ndk) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_float2(_:_:)`](/documentation/simd/simd_make_float2(_:_:)) Returns a new vector from the specified scalar values. [`vector2`](/documentation/simd/vector2-25p9a) Returns a new vector from the specified scalar values. [`simd_make_float2_undef(_:)`](/documentation/simd/simd_make_float2_undef(_:)) Returns a new vector with the first element set to a scalar value, and other elements undefined. ### Functions to Create Two-Element Vectors From Vectors of Other Types [`simd_float`](/documentation/simd/simd_float-14iup) Returns a new vector from the specified vector of 8-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-148tt) Returns a new vector from the specified vector of 8-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-14nqp) Returns a new vector from the specified vector of 16-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-14dwx) Returns a new vector from the specified vector of 16-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-14lvd) Returns a new vector from the specified vector of 32-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-14c1l) Returns a new vector from the specified vector of 32-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-14mw7) Returns a new vector from the specified vector of 64-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-14cvb) Returns a new vector from the specified vector of 64-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-149uz) Returns a new vector from the specified vector of 32-bit, floating-point elements. [`simd_float`](/documentation/simd/simd_float-14afr) Returns a new vector from the specified vector of 64-bit, floating-point elements. ### Common Functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-886vq) Returns the absolute value of each element in a vector. [`abs(_:)`](/documentation/simd/abs(_:)-6ckob) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-9b6uf) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-5rthg) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-3oo0f) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-9z8e8) 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(_:)-42ipv) Returns the fractional part of each element in a vector. [`fract(_:)`](/documentation/simd/fract(_:)-7rplw) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-6jld1) Returns the sign of each element in a vector. [`sign(_:)`](/documentation/simd/sign(_:)-2e6do) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-9xjdc) Returns zero for each element in a vector less than a specified edge, and otherwise returns one. [`step(_:edge:)`](/documentation/simd/step(_:edge:)-1pthr) 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(_:)-2pzn6) Returns the sum of all elements in a vector. [`reduce_add(_:)`](/documentation/simd/reduce_add(_:)-39n2m) Returns the sum of all elements in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-4kjh0) Returns the maximum value in a vector. [`reduce_max(_:)`](/documentation/simd/reduce_max(_:)-4zzwq) Returns the maximum value in a vector. [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-49sh0) Returns the minimum value in a vector. [`reduce_min(_:)`](/documentation/simd/reduce_min(_:)-76co5) Returns the minimum value in a vector. ### Interpolation Functions [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-bvhh) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-2z3yo) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-14tli) Returns an element-wise linearly interpolated value between two vectors. [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-7iziv) Returns an element-wise smoothly interpolated value between two vectors. [`smoothstep(_:edge0:edge1:)`](/documentation/simd/smoothstep(_:edge0:edge1:)-43udr) Returns an element-wise smoothly interpolated value between two vectors. ### Extrema Functions [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-6uws6) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-35pzn) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-9ye2a) Returns the maximum value of each element in a vector. [`fmax(_:_:)`](/documentation/simd/fmax(_:_:)-3cz61) Returns the maximum value of each element in a vector. [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-9xyee) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-3eaa2) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-6cnnq) Returns the minimum value of each element in a vector. [`fmin(_:_:)`](/documentation/simd/fmin(_:_:)-7jupb) Returns the minimum value of each element in a vector. ### Reciprocal and Reciprocal Square Root Functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-8nf6c) Returns the reciprocal of each element in a vector. [`recip(_:)`](/documentation/simd/recip(_:)-2opi) Returns the reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-okw0) Returns the reciprocal square root of each element in a vector. [`rsqrt(_:)`](/documentation/simd/rsqrt(_:)-1er1q) Returns the reciprocal square root of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-66mt8) Returns the precise reciprocal of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-wqzu) Returns the precise reciprocal square root of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-ll5x) Returns the fast reciprocal of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-84cs6) Returns the fast reciprocal square root of each element in a vector. ### Exponential and Logarithmic Functions [`exp(_:)`](/documentation/simd/exp(_:)-3pa97) Returns *e* raised to the power of each element in a vector. [`exp2(_:)`](/documentation/simd/exp2(_:)-6sez2) Returns 2 raised to the power of each element in a vector. [`exp10(_:)`](/documentation/simd/exp10(_:)-6ga3o) Returns 10 raised to the power of each element in a vector. [`expm1(_:)`](/documentation/simd/expm1(_:)-3bqf9) Returns *eˣ-1* for each element in a vector. [`log(_:)`](/documentation/simd/log(_:)-1zfuo) Returns the natural logarithm of each element in a vector. [`log2(_:)`](/documentation/simd/log2(_:)-8x5g) Returns the base 2 logarithm of each element in a vector. [`log10(_:)`](/documentation/simd/log10(_:)-4yb6z) Returns the base 10 logarithm of each element in a vector. [`log1p(_:)`](/documentation/simd/log1p(_:)-15zc7) Returns *log(1+x)* of each element in a vector. [`exp`](/documentation/simd/exp) Returns *e* raised to the power of each element in a vector. [`exp2`](/documentation/simd/exp2) Returns 2 raised to the power of each element in a vector. [`exp10`](/documentation/simd/exp10) Returns 10 raised to the power of each element in a vector. [`expm1`](/documentation/simd/expm1) Returns *eˣ-1* for each element in a vector. [`log`](/documentation/simd/log) Returns the natural logarithm of each element in a vector. [`log2`](/documentation/simd/log2) Returns the base 2 logarithm of each element in a vector. [`log10`](/documentation/simd/log10) Returns the base 10 logarithm of each element in a vector. [`log1p`](/documentation/simd/log1p) Returns *log(1+x)* for each element in a vector. ### Geometry Functions [`simd_cross`](/documentation/simd/simd_cross-3ukic) Returns the cross product of two vectors. [`cross(_:_:)`](/documentation/simd/cross(_:_:)-53xk2) Returns the cross product of two vectors. [`simd_dot`](/documentation/simd/simd_dot-3pmfs) Returns the dot product of two vectors. [`dot(_:_:)`](/documentation/simd/dot(_:_:)-1vb5g) Returns the dot product of two vectors. [`simd_incircle`](/documentation/simd/simd_incircle-1bi0y) Tests if a single-precision point lies inside, on, or outside a circle. [`simd_normalize`](/documentation/simd/simd_normalize-9fok8) Returns a vector pointing in the same direction of the supplied vector, with a length of 1. [`normalize(_:)`](/documentation/simd/normalize(_:)-100kb) 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-9wxm2) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-54d5a) Returns the precise normalized vector. [`simd_orient`](/documentation/simd/simd_orient-8wej6) Tests the orientation of the two supplied vectors. [`simd_orient`](/documentation/simd/simd_orient-6wf24) Tests the orientation of the three supplied vectors. [`simd_project`](/documentation/simd/simd_project-39liq) Returns the first vector projected onto the second vector. [`project(_:_:)`](/documentation/simd/project(_:_:)-9wt83) Returns the first vector projected onto the second vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-4ei25) Returns the precise projected vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-4chm1) Returns the fast projected vector. [`simd_reflect`](/documentation/simd/simd_reflect-7dnri) Returns the reflection direction of an incident vector and a unit normal vector. [`reflect(_:n:)`](/documentation/simd/reflect(_:n:)-6w80i) Returns the reflection direction of an incident vector and a unit normal vector. [`simd_refract`](/documentation/simd/simd_refract-4vcf3) Returns the refraction direction of an incident vector, a unit normal vector, and an index of refraction eta. [`refract(_:n:eta:)`](/documentation/simd/refract(_:n:eta:)-5bv79) Returns the refraction direction of an incident vector, a unit normal vector, and an index of refraction eta. ### Vector Norm Functions [`simd_norm_one`](/documentation/simd/simd_norm_one-10vvt) Returns the sum of the absolute values of a vector. [`norm_one(_:)`](/documentation/simd/norm_one(_:)-2y0m) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-91b24) Returns the maximum absolute value of a vector. [`norm_inf(_:)`](/documentation/simd/norm_inf(_:)-9lj66) Returns the maximum absolute value of a vector. ### Length and Distance Functions [`simd_length`](/documentation/simd/simd_length-3ob5d) Returns the length of a vector. [`length(_:)`](/documentation/simd/length(_:)-6g7q5) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-59ep6) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-77xwk) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-3e32j) Returns the square of the length of a vector. [`length_squared(_:)`](/documentation/simd/length_squared(_:)-6tcxv) Returns the square of the length of a vector. [`distance(_:_:)`](/documentation/simd/distance(_:_:)-1p8ae) Returns the distance between two vectors. [`simd_distance`](/documentation/simd/simd_distance-598wa) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-2jlix) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-8hrn8) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-7zevh) Returns the square of the distance between two vectors. [`distance_squared(_:_:)`](/documentation/simd/distance_squared(_:_:)-9nmpe) Returns the square of the distance between two vectors. ### Hyperbolic Functions [`acosh(_:)`](/documentation/simd/acosh(_:)-16wup) Returns the inverse hyperbolic cosine of each element in a vector. [`asinh(_:)`](/documentation/simd/asinh(_:)-14lj8) Returns the inverse hyperbolic sine of each element in a vector. [`atanh(_:)`](/documentation/simd/atanh(_:)-3o0hv) Returns the inverse hyperbolic tangent of each element in a vector. [`cosh(_:)`](/documentation/simd/cosh(_:)-4n03p) Returns the hyperbolic cosine of each element in a vector. [`sinh(_:)`](/documentation/simd/sinh(_:)-2ft5c) Returns the hyperbolic sine of each element in a vector. [`tanh(_:)`](/documentation/simd/tanh(_:)-8avnx) Returns the hyperbolic tangent of each element in a vector. [`acosh`](/documentation/simd/acosh) Returns the inverse hyperbolic cosine of each element in a vector. [`asinh`](/documentation/simd/asinh) Returns the inverse hyperbolic sine of each element in a vector. [`atanh`](/documentation/simd/atanh) Returns the inverse hyperbolic tangent of each element in a vector. [`cosh`](/documentation/simd/cosh) Returns the hyperbolic cosine of each element in a vector. [`sinh`](/documentation/simd/sinh) Returns the hyperbolic sine of each element in a vector. [`tanh`](/documentation/simd/tanh) Returns the hyperbolic tangent of each element in a vector. ### Logic Functions [`simd_select(_:_:_:)`](/documentation/simd/simd_select(_:_:_:)-9jdc0) 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(_:_:_:)-5g70k) 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(_:)-1t3k) Returns the cube root of each element in a vector. [`ceil(_:)`](/documentation/simd/ceil(_:)-8j6zo) Returns the ceiling of each element in a vector. [`erf(_:)`](/documentation/simd/erf(_:)-1unjp) Returns the error function for each element in a vector. [`erfc(_:)`](/documentation/simd/erfc(_:)-1hisg) Returns the complementary error function for each element in a vector. [`floor(_:)`](/documentation/simd/floor(_:)-1e9me) Returns the floor of each element in a vector. [`fma(_:_:_:)`](/documentation/simd/fma(_:_:_:)-69k8u) Returns the multiply-add result for corresponding elements in three vectors. [`fmod(_:_:)`](/documentation/simd/fmod(_:_:)-566aw) Returns the modulus after dividing each element in a vector by the corresponding element in a second vector. [`hypot(_:_:)`](/documentation/simd/hypot(_:_:)-1zs4i) 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(_:)-1ksbv) Returns the natural logarithm of the absolute value of the gamma function of each element in a vector. [`nextafter(_:_:)`](/documentation/simd/nextafter(_:_:)-8mat0) 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(_:_:)-15e0y) Returns each element in a vector raised to the power of the corresponding element in a second vector. [`remainder(_:_:)`](/documentation/simd/remainder(_:_:)-37wwd) 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(_:)-608of) Returns each element in a vector rounded to the nearest integer. [`cbrt`](/documentation/simd/cbrt) Returns the cube root of each element in a vector. [`copysign`](/documentation/simd/copysign) Returns each element of a vector, with the sign of the corresponding element in a second vector. [`erf`](/documentation/simd/erf) Returns the error function for each element in a vector. [`erfc`](/documentation/simd/erfc) Returns the complementary error function for each element in a vector. [`fabs`](/documentation/simd/fabs) Returns the absolute value of each element in a vector. [`fdim`](/documentation/simd/fdim) Returns the positive difference between corresponding elements in two vectors. [`fma`](/documentation/simd/fma) Returns the multiply-add result for corresponding elements in three vectors. [`fmod`](/documentation/simd/fmod) Returns the modulus after dividing each element in a vector by the corresponding element in a second vector. [`hypot`](/documentation/simd/hypot) Returns the hypotenuse of a right-angled triangle with the sides that are adjacent to the right angle that two vectors define. [`nextafter`](/documentation/simd/nextafter) 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) Returns each element in a vector raised to the power of the corresponding element in a second vector. [`remainder`](/documentation/simd/remainder) Returns the remainder after dividing each element in an array by the corresponding element in a second array of double-precision values. [`rint`](/documentation/simd/rint) Returns each element in a vector rounded to the nearest integer in the specified direction. [`round`](/documentation/simd/round) Returns each element in a vector rounded to the nearest integer. [`simd_muladd(_:_:_:)`](/documentation/simd/simd_muladd(_:_:_:)-45h2k) Returns the multiply-add result for corresponding elements in three vectors. [`tgamma(_:)`](/documentation/simd/tgamma(_:)-2aqvi) Returns the gamma function for each element in a vector. [`trunc(_:)`](/documentation/simd/trunc(_:)-6neoe) Returns each element in a vector rounded toward zero to the nearest integer. [`sqrt`](/documentation/simd/sqrt) Returns the square root of each element in a vector. [`tgamma`](/documentation/simd/tgamma) Returns the gamma function for each element in a vector. ### Trigonometric Functions [`acos(_:)`](/documentation/simd/acos(_:)-1ya4v) Returns the arccosine of each element in a vector. [`asin(_:)`](/documentation/simd/asin(_:)-4tbvj) Returns the arcsine of each element in a vector. [`atan(_:)`](/documentation/simd/atan(_:)-5v3x) Returns the arctangent of each element in a vector. [`atan2(_:_:)`](/documentation/simd/atan2(_:_:)-4dpoz) Returns the arctangent of each pair of corresponding elements in two vectors. [`cos(_:)`](/documentation/simd/cos(_:)-59waa) Returns the cosine of each element in a vector. [`cospi(_:)`](/documentation/simd/cospi(_:)-2cd9u) Returns the cosine of each element in a vector multiplied by pi. [`sin(_:)`](/documentation/simd/sin(_:)-5k8vo) Returns the sine of each element in a vector. [`sinpi(_:)`](/documentation/simd/sinpi(_:)-524r6) Returns the sine of each element in a vector multiplied by pi. [`sincos(_:)`](/documentation/simd/sincos(_:)-4uhuq) Returns the sine and cosine of each element in a vector. [`sincospi(_:)`](/documentation/simd/sincospi(_:)-11sii) Returns the sine and cosine of each element in a vector multiplied by pi. [`tan(_:)`](/documentation/simd/tan(_:)-4rx9f) Returns the tangent of each element in a vector. [`tanpi(_:)`](/documentation/simd/tanpi(_:)-3a1w1) Returns the tangent of each element in a vector multiplied by pi. [`acos`](/documentation/simd/acos) Returns the arccosine of each element in a vector. [`asin`](/documentation/simd/asin) Returns the arcsine of each element in a vector. [`atan`](/documentation/simd/atan) Returns the arctangent of each element in a vector. [`atan2`](/documentation/simd/atan2) Returns the arctangent of each pair of corresponding elements in two vectors. [`cos`](/documentation/simd/cos) Returns the cosine of each element in a vector. [`cospi`](/documentation/simd/cospi) Returns the cosine of each element in a vector multiplied by pi. [`sin`](/documentation/simd/sin) Returns the sine of each element in a vector. [`sinpi`](/documentation/simd/sinpi) Returns the sine of each element in a vector multiplied by pi. [`tan`](/documentation/simd/tan) Returns the tangent of each element in a vector. [`tanpi`](/documentation/simd/tanpi) Returns the tangent of each element in a vector multiplied by pi. ### Classification Functions [`isfinite(_:)`](/documentation/simd/isfinite(_:)-zthr) Returns true for each element that is finite in a vector. [`isinf(_:)`](/documentation/simd/isinf(_:)-9bb5h) Returns true for each element that is infinite in a vector. [`isnan(_:)`](/documentation/simd/isnan(_:)-7diw7) Returns true for each element that is not a number (NaN) in a vector. [`isnormal(_:)`](/documentation/simd/isnormal(_:)-3n6dc) Returns true for each element that is normal in a vector. ### Alternative Type Alias [`vector_float2`](/documentation/simd/vector_float2) [`float2`](/documentation/simd/float2) --- 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)