# simd_float4 A vector of four 32-bit floating-point elements. ``` typealias simd_float4 = SIMD4 ``` ## Topics ### Functions to Create Four-Element Vectors From Other Vectors [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-iuxp) Returns a new vector from the specified two-element vector, and other elements set to zero. [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-fyse) Returns a new vector from the specified three-element vector, and other elements set to zero. [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-cjxn) Returns a new vector from the specified vector. [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-9xll2) Returns a new vector by truncating the specified eight-element vector. [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-5sesp) Returns a new vector by truncating the specified 16-element vector. [`simd_make_float4(_:_:)`](/documentation/simd/simd_make_float4(_:_:)-51w3j) Returns a new vector from the specified vectors. [`vector4`](/documentation/simd/vector4-1op5j) Returns a new vector from the specified vectors. [`simd_make_float4_undef(_:)`](/documentation/simd/simd_make_float4_undef(_:)-3brs5) Returns a new vector from the specified two-element vector, and other elements undefined. [`simd_make_float4_undef(_:)`](/documentation/simd/simd_make_float4_undef(_:)-3f7tu) Returns a new vector from the specified three-element vector, and other elements undefined. ### Functions to Create Four-Element Vectors From Scalar Values [`simd_make_float4(_:)`](/documentation/simd/simd_make_float4(_:)-2ja7v) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_float4(_:_:_:_:)`](/documentation/simd/simd_make_float4(_:_:_:_:)) Returns a new vector from the specified scalar values. [`vector4`](/documentation/simd/vector4-9g9vo) Returns a new vector from the specified scalar values. [`simd_make_float4_undef(_:)`](/documentation/simd/simd_make_float4_undef(_:)-24y7o) Returns a new vector with the first element set to a scalar value, and other elements undefined. ### Functions to Create Four-Element Vectors From Combinations of Vectors and Scalar Values [`simd_make_float4(_:_:_:)`](/documentation/simd/simd_make_float4(_:_:_:)-5qr1r) Returns a new vector from a scalar value, a vector, and a scalar value. [`simd_make_float4(_:_:_:)`](/documentation/simd/simd_make_float4(_:_:_:)-2rgt8) Returns a new vector from two scalar values and a vector. [`simd_make_float4(_:_:)`](/documentation/simd/simd_make_float4(_:_:)-9ngva) Returns a new vector from a scalar value and a vector. [`simd_make_float4(_:_:_:)`](/documentation/simd/simd_make_float4(_:_:_:)-2bmi8) Returns a new vector from a vector and scalar values. [`simd_make_float4(_:_:)`](/documentation/simd/simd_make_float4(_:_:)-4911p) Returns a new vector from a vector and a scalar value. [`vector4`](/documentation/simd/vector4-8b00f) Returns a new vector from a vector and a scalar value. ### Functions to Create Four-Element Vectors From Vectors of Other Types [`simd_float`](/documentation/simd/simd_float-joa3) Returns a new vector from the specified vector of 8-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-je97) Returns a new vector from the specified vector of 8-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-jj4b) Returns a new vector from the specified vector of 16-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-j957) Returns a new vector from the specified vector of 16-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-jq3j) Returns a new vector from the specified vector of 32-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-jg4f) Returns a new vector from the specified vector of 32-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-jr19) Returns a new vector from the specified vector of 64-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-jgyl) Returns a new vector from the specified vector of 64-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-jf39) Returns a new vector from the specified vector of 32-bit, floating-point elements. [`simd_float`](/documentation/simd/simd_float-jekd) Returns a new vector from the specified vector of 64-bit, floating-point elements. ### Common Functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-81qo8) Returns the absolute value of each element in a vector. [`abs(_:)`](/documentation/simd/abs(_:)-1fzhv) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-6vmhh) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-46ay6) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-19q7w) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-6sa26) 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(_:)-3w2rh) Returns the fractional part of each element in a vector. [`fract(_:)`](/documentation/simd/fract(_:)-9s3df) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-74zwz) Returns the sign of each element in a vector. [`sign(_:)`](/documentation/simd/sign(_:)-167c1) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-1fxwh) Returns zero for each element in a vector less than a specified edge, and otherwise returns one. [`step(_:edge:)`](/documentation/simd/step(_:edge:)-8we4c) 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(_:)-2yn18) Returns the sum of all elements in a vector. [`reduce_add(_:)`](/documentation/simd/reduce_add(_:)-8m4ir) Returns the sum of all elements in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-4qug2) Returns the maximum value in a vector. [`reduce_max(_:)`](/documentation/simd/reduce_max(_:)-263wv) Returns the maximum value in a vector. [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-4un1u) Returns the minimum value in a vector. [`reduce_min(_:)`](/documentation/simd/reduce_min(_:)-1xt53) Returns the minimum value in a vector. ### Interpolation Functions [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-5fpv1) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-2uufx) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-8qz2g) Returns an element-wise linearly interpolated value between two vectors. [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-33ugy) Returns an element-wise smoothly interpolated value between two vectors. [`smoothstep(_:edge0:edge1:)`](/documentation/simd/smoothstep(_:edge0:edge1:)-3gx0q) Returns an element-wise smoothly interpolated value between two vectors. ### Extrema Functions [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-3mrbf) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-8mn3g) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-317vz) Returns the maximum value of each element in a vector. [`fmax(_:_:)`](/documentation/simd/fmax(_:_:)-7f29b) [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-6upge) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-2jw3s) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-7wmdr) Returns the minimum value of each element in a vector. [`fmin(_:_:)`](/documentation/simd/fmin(_:_:)-47ii0) ### Reciprocal and Reciprocal Square Root Functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-820ma) Returns the reciprocal of each element in a vector. [`recip(_:)`](/documentation/simd/recip(_:)-3idnw) Returns the reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-i4we) Returns the reciprocal square root of each element in a vector. [`rsqrt(_:)`](/documentation/simd/rsqrt(_:)-3g5ej) Returns the reciprocal square root of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-6ptoq) Returns the precise reciprocal of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-136xw) Returns the precise reciprocal square root of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-6nf) Returns the fast reciprocal of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-8p7fk) Returns the fast reciprocal square root of each element in a vector. ### Exponential and Logarithmic Functions [`exp(_:)`](/documentation/simd/exp(_:)-8lp9u) Returns *e* raised to the power of each element in a vector. [`exp2(_:)`](/documentation/simd/exp2(_:)-4tmv0) Returns 2 raised to the power of each element in a vector. [`exp10(_:)`](/documentation/simd/exp10(_:)-7ddho) Returns 10 raised to the power of each element in a vector. [`expm1(_:)`](/documentation/simd/expm1(_:)-4f45) Returns *eˣ-1* for each element in a vector. [`log(_:)`](/documentation/simd/log(_:)-259z1) Returns the natural logarithm of each element in a vector. [`log2(_:)`](/documentation/simd/log2(_:)-5gt2x) Returns the base 2 logarithm of each element in a vector. [`log10(_:)`](/documentation/simd/log10(_:)-2lowj) Returns the base 10 logarithm of each element in a vector. [`log1p(_:)`](/documentation/simd/log1p(_:)-77wue) 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_dot`](/documentation/simd/simd_dot-6c4kk) Returns the dot product of two vectors. [`dot(_:_:)`](/documentation/simd/dot(_:_:)-47df) Returns the dot product of two vectors. [`simd_normalize`](/documentation/simd/simd_normalize-9o75a) Returns a vector pointing in the same direction of the supplied vector, with a length of 1. [`normalize(_:)`](/documentation/simd/normalize(_:)-6g9xc) 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-3shj) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-4vumw) Returns the precise normalized vector. [`simd_project`](/documentation/simd/simd_project-409nq) Returns the first vector projected onto the second vector. [`project(_:_:)`](/documentation/simd/project(_:_:)-pdsh) Returns the first vector projected onto the second vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-t4b2) Returns the fast projected vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-vzd4) Returns the precise projected vector. [`simd_reflect`](/documentation/simd/simd_reflect-2n1lw) Returns the reflection direction of an incident vector and a unit normal vector. [`reflect(_:n:)`](/documentation/simd/reflect(_:n:)-8i5cc) Returns the reflection direction of an incident vector and a unit normal vector. [`simd_refract`](/documentation/simd/simd_refract-8tap1) 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:)-8qo9c) 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-sda7) Returns the sum of the absolute values of a vector. [`norm_one(_:)`](/documentation/simd/norm_one(_:)-jo3r) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-97r82) Returns the maximum absolute value of a vector. [`norm_inf(_:)`](/documentation/simd/norm_inf(_:)-8tppa) Returns the maximum absolute value of a vector. ### Length and Distance Functions [`simd_length`](/documentation/simd/simd_length-3fnlb) Returns the length of a vector. [`length(_:)`](/documentation/simd/length(_:)-9i1zg) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-4ok58) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-7du56) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-2t8g5) Returns the square of the length of a vector. [`length_squared(_:)`](/documentation/simd/length_squared(_:)-80gxf) Returns the square of the length of a vector. [`simd_distance`](/documentation/simd/simd_distance-4w02j) Returns the distance between two vectors. [`distance(_:_:)`](/documentation/simd/distance(_:_:)-39uat) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-1kcm1) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-8v0dv) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-1kxqo) Returns the square of the distance between two vectors. [`distance_squared(_:_:)`](/documentation/simd/distance_squared(_:_:)-32wfg) Returns the square of the distance between two vectors. ### Hyperbolic Functions [`acosh(_:)`](/documentation/simd/acosh(_:)-7sio6) Returns the inverse hyperbolic cosine of each element in a vector. [`asinh(_:)`](/documentation/simd/asinh(_:)-693z8) Returns the inverse hyperbolic sine of each element in a vector. [`atanh(_:)`](/documentation/simd/atanh(_:)-48wed) Returns the inverse hyperbolic tangent of each element in a vector. [`cosh(_:)`](/documentation/simd/cosh(_:)-5k3hp) Returns the hyperbolic cosine of each element in a vector. [`sinh(_:)`](/documentation/simd/sinh(_:)-4eoxy) Returns the hyperbolic sine of each element in a vector. [`tanh(_:)`](/documentation/simd/tanh(_:)-9p88r) 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(_:_:_:)-7vjx6) 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(_:_:_:)-7g1os) 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(_:)-5wdps) Returns the cube root of each element in a vector. [`ceil(_:)`](/documentation/simd/ceil(_:)-2omh0) Returns the ceiling of each element in a vector. [`erf(_:)`](/documentation/simd/erf(_:)-4zsot) Returns the error function for each element in a vector. [`erfc(_:)`](/documentation/simd/erfc(_:)-7acqr) Returns the complementary error function for each element in a vector. [`floor(_:)`](/documentation/simd/floor(_:)-56de3) Returns the floor of each element in a vector. [`fma(_:_:_:)`](/documentation/simd/fma(_:_:_:)-1zefy) Returns the multiply-add result for corresponding elements in three vectors. [`fmod(_:_:)`](/documentation/simd/fmod(_:_:)-px8m) Returns the modulus after dividing each element in a vector by the corresponding element in a second vector. [`hypot(_:_:)`](/documentation/simd/hypot(_:_:)-96sjx) 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(_:)-3l63e) Returns the natural logarithm of the absolute value of the gamma function of each element in a vector. [`nextafter(_:_:)`](/documentation/simd/nextafter(_:_:)-6sc0p) 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(_:_:)-skyu) Returns each element in a vector raised to the power of the corresponding element in a second vector. [`remainder(_:_:)`](/documentation/simd/remainder(_:_:)-7o61f) 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(_:)-8vqnv) 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(_:_:_:)-3e79w) Returns the multiply-add result for corresponding elements in three vectors. [`tgamma(_:)`](/documentation/simd/tgamma(_:)-twdo) Returns the gamma function for each element in a vector. [`trunc(_:)`](/documentation/simd/trunc(_:)-4xiyl) 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(_:)-2blze) Returns the arccosine of each element in a vector. [`asin(_:)`](/documentation/simd/asin(_:)-87ban) Returns the arcsine of each element in a vector. [`atan(_:)`](/documentation/simd/atan(_:)-8xa90) Returns the arctangent of each element in a vector. [`atan2(_:_:)`](/documentation/simd/atan2(_:_:)-63ije) Returns the arctangent of each pair of corresponding elements in two vectors. [`cos(_:)`](/documentation/simd/cos(_:)-8qcj2) Returns the cosine of each element in a vector. [`cospi(_:)`](/documentation/simd/cospi(_:)-5chnf) Returns the cosine of each element in a vector multiplied by pi. [`sin(_:)`](/documentation/simd/sin(_:)-80x4) Returns the sine of each element in a vector. [`sinpi(_:)`](/documentation/simd/sinpi(_:)-71xz) Returns the sine of each element in a vector multiplied by pi. [`sincos(_:)`](/documentation/simd/sincos(_:)-8bfn1) Returns the sine and cosine of each element in a vector. [`sincospi(_:)`](/documentation/simd/sincospi(_:)-84wzt) Returns the sine and cosine of each element in a vector multiplied by pi. [`tan(_:)`](/documentation/simd/tan(_:)-7uvy9) Returns the tangent of each element in a vector. [`tanpi(_:)`](/documentation/simd/tanpi(_:)-93eul) 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(_:)-96ccc) Returns true for each element that is finite in a vector. [`isinf(_:)`](/documentation/simd/isinf(_:)-4hqza) Returns true for each element that is infinite in a vector. [`isnan(_:)`](/documentation/simd/isnan(_:)-9epap) Returns true for each element that is not a number (NaN) in a vector. [`isnormal(_:)`](/documentation/simd/isnormal(_:)-7428z) Returns true for each element that is normal in a vector. ### Alternative Type Alias [`vector_float4`](/documentation/simd/vector_float4) [`float4`](/documentation/simd/float4) --- 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)