# simd_float3 A vector of three 32-bit floating-point elements. ``` typealias simd_float3 = SIMD3 ``` ## Topics ### Functions to Create Three-Element Vectors From Other Vectors [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-6jup1) Returns a new vector from the specified two-element vector, and other elements set to zero. [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-6nare) Returns a new vector from the specified vector. [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-759bf) Returns a new vector by truncating the specified four-element vector. [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-7i06n) Returns a new vector by truncating the specified eight-element vector. [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-8p6oi) Returns a new vector by truncating the specified 16-element vector. [`simd_make_float3_undef(_:)`](/documentation/simd/simd_make_float3_undef(_:)-9aafs) Returns a new vector from the specified two-element vector, and other elements undefined. ### Functions to Create Three-Element Vectors From Scalar Values [`simd_make_float3(_:)`](/documentation/simd/simd_make_float3(_:)-1lvzk) Returns a new vector with the first element set to a scalar value, and other elements set to zero. [`simd_make_float3(_:_:_:)`](/documentation/simd/simd_make_float3(_:_:_:)) Returns a new vector from the specified scalar values. [`vector3`](/documentation/simd/vector3-3n3m0) Returns a new vector from the specified scalar values. [`simd_make_float3_undef(_:)`](/documentation/simd/simd_make_float3_undef(_:)-4yqj8) Returns a new vector with the first element set to a scalar value, and other elements undefined. ### Functions to Create Three-Element Vectors From Combinations of Vectors and Scalar Values [`simd_make_float3(_:_:)`](/documentation/simd/simd_make_float3(_:_:)-2ke7j) Returns a new vector from a vector and a scalar value. [`simd_make_float3(_:_:)`](/documentation/simd/simd_make_float3(_:_:)-57oga) Returns a new vector from a scalar value and a vector. [`vector3`](/documentation/simd/vector3-1ak9a) Returns a new vector from a scalar value and a vector. ### Functions to Create Three-Element Vectors From Vectors of Other Types [`simd_float`](/documentation/simd/simd_float-180o8) Returns a new vector from the specified vector of 8-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-17qqw) Returns a new vector from the specified vector of 8-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-17vt4) Returns a new vector from the specified vector of 16-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-17lu0) Returns a new vector from the specified vector of 16-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-182oo) Returns a new vector from the specified vector of 32-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-17sm0) Returns a new vector from the specified vector of 32-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-181qs) Returns a new vector from the specified vector of 64-bit, signed-integer elements. [`simd_float`](/documentation/simd/simd_float-17rro) Returns a new vector from the specified vector of 64-bit, unsigned-integer elements. [`simd_float`](/documentation/simd/simd_float-17pws) Returns a new vector from the specified vector of 32-bit, floating-point elements. [`simd_float`](/documentation/simd/simd_float-17pac) Returns a new vector from the specified vector of 64-bit, floating-point elements. ### Common Functions [`simd_abs(_:)`](/documentation/simd/simd_abs(_:)-8dafp) Returns the absolute value of each element in a vector. [`abs(_:)`](/documentation/simd/abs(_:)-6lc19) Returns the absolute value of each element in a vector. [`simd_clamp(_:_:_:)`](/documentation/simd/simd_clamp(_:_:_:)-5szev) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-3esdw) Returns each element in a vector clamped to a specified range. [`clamp(_:min:max:)`](/documentation/simd/clamp(_:min:max:)-9eeiz) Returns each element in a vector clamped to a specified range. [`simd_equal(_:_:)`](/documentation/simd/simd_equal(_:_:)-6i7q4) Returns true if every element in a vector is exactly equal to the corresponding element in a second vector, and otherwise returns false. [`fract(_:)`](/documentation/simd/fract(_:)-3rsxo) Returns the fractional part of each element in a vector. [`simd_fract(_:)`](/documentation/simd/simd_fract(_:)-47mh4) Returns the fractional part of each element in a vector. [`simd_sign(_:)`](/documentation/simd/simd_sign(_:)-6gp3q) Returns the sign of each element in a vector. [`sign(_:)`](/documentation/simd/sign(_:)-9p5uo) Returns the sign of each element in a vector. [`simd_step(_:_:)`](/documentation/simd/simd_step(_:_:)-9ygnw) Returns zero for each element in a vector less than a specified edge, and otherwise returns one. [`step(_:edge:)`](/documentation/simd/step(_:edge:)-48vbr) 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(_:)-2v85p) Returns the sum of all elements in a vector. [`reduce_add(_:)`](/documentation/simd/reduce_add(_:)-3xuqf) Returns the sum of all elements in a vector. [`simd_reduce_max(_:)`](/documentation/simd/simd_reduce_max(_:)-4gy97) Returns the maximum value in a vector. [`reduce_max(_:)`](/documentation/simd/reduce_max(_:)-1u3hn) Returns the maximum value in a vector. [`simd_reduce_min(_:)`](/documentation/simd/simd_reduce_min(_:)-46cif) Returns the miniumum value in a vector. [`reduce_min(_:)`](/documentation/simd/reduce_min(_:)-3myvw) Returns the miniumum value in a vector. ### Interpolation Functions [`simd_mix(_:_:_:)`](/documentation/simd/simd_mix(_:_:_:)-6l1x8) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-9o58r) Returns an element-wise linearly interpolated value between two vectors. [`mix(_:_:t:)`](/documentation/simd/mix(_:_:t:)-6c4d3) Returns an element-wise linearly interpolated value between two vectors. [`simd_smoothstep(_:_:_:)`](/documentation/simd/simd_smoothstep(_:_:_:)-mz0x) Returns an element-wise smoothly interpolated value between two vectors. [`smoothstep(_:edge0:edge1:)`](/documentation/simd/smoothstep(_:edge0:edge1:)-6m76x) Returns an element-wise smoothly interpolated value between two vectors. ### Extrema Functions [`simd_min(_:_:)`](/documentation/simd/simd_min(_:_:)-9ccbp) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-2xilk) Returns the minimum value of each element in a vector. [`min(_:_:)`](/documentation/simd/min(_:_:)-7cjgj) Returns the minimum value of each element in a vector. [`fmin(_:_:)`](/documentation/simd/fmin(_:_:)-6jyy2) Returns the minimum value of each element in a vector. [`simd_max(_:_:)`](/documentation/simd/simd_max(_:_:)-6x53b) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-27ore) Returns the maximum value of each element in a vector. [`max(_:_:)`](/documentation/simd/max(_:_:)-7plm) Returns the maximum value of each element in a vector. [`fmax(_:_:)`](/documentation/simd/fmax(_:_:)-1yseu) Returns the maximum value of each element in a vector. ### Reciprocal and Reciprocal Square Root Functions [`simd_recip(_:)`](/documentation/simd/simd_recip(_:)-8jz2r) Returns the reciprocal of each element in a vector. [`recip(_:)`](/documentation/simd/recip(_:)-8p7rb) Returns the reciprocal of each element in a vector. [`simd_fast_recip(_:)`](/documentation/simd/simd_fast_recip(_:)-ohgm) Returns the fast reciprocal of each element in a vector. [`simd_precise_recip(_:)`](/documentation/simd/simd_precise_recip(_:)-61j27) Returns the precise reciprocal of each element in a vector. [`simd_rsqrt(_:)`](/documentation/simd/simd_rsqrt(_:)-rh1j) Returns the reciprocal square root of each element in a vector. [`rsqrt(_:)`](/documentation/simd/rsqrt(_:)-6peaq) Returns the reciprocal square root of each element in a vector. [`simd_fast_rsqrt(_:)`](/documentation/simd/simd_fast_rsqrt(_:)-80wq1) Returns the fast reciprocal square root of each element in a vector. [`simd_precise_rsqrt(_:)`](/documentation/simd/simd_precise_rsqrt(_:)-zs51) Returns the precise reciprocal square root of each element in a vector. ### Exponential and Logarithmic Functions [`exp(_:)`](/documentation/simd/exp(_:)-5nqcd) Returns *e* raised to the power of each element in a vector. [`exp2(_:)`](/documentation/simd/exp2(_:)-85hb2) Returns 2 raised to the power of each element in a vector. [`exp10(_:)`](/documentation/simd/exp10(_:)-6da66) Returns 10 raised to the power of each element in a vector. [`expm1(_:)`](/documentation/simd/expm1(_:)-2r6sd) Returns *eˣ-1* for each element in a vector. [`log(_:)`](/documentation/simd/log(_:)-3290g) Returns the natural logarithm of each element in a vector. [`log2(_:)`](/documentation/simd/log2(_:)-5mgme) Returns the base 2 logarithm of each element in a vector. [`log10(_:)`](/documentation/simd/log10(_:)-39t0j) Returns the base 10 logarithm of each element in a vector. [`log1p(_:)`](/documentation/simd/log1p(_:)-25ya0) 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-4jxj0) Returns the cross product of two vectors. [`cross(_:_:)`](/documentation/simd/cross(_:_:)-8xu8k) Returns the cross product of two vectors. [`simd_dot`](/documentation/simd/simd_dot-3ndxt) Returns the dot product of two vectors. [`dot(_:_:)`](/documentation/simd/dot(_:_:)-4gb9g) Returns the dot product of two vectors. [`simd_insphere`](/documentation/simd/simd_insphere-5jw77) Tests if a single-precision point lies inside, on, or outside a sphere. [`simd_normalize`](/documentation/simd/simd_normalize-9c3mv) 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-dj6) Returns the fast normalized vector. [`simd_precise_normalize`](/documentation/simd/simd_precise_normalize-4z9ah) Returns the precise normalized vector. [`normalize(_:)`](/documentation/simd/normalize(_:)-ac7) Returns a vector pointing in the same direction of the supplied vector with a length of 1. [`simd_orient`](/documentation/simd/simd_orient-6ae1u) Tests the orientation of the three supplied vectors. [`simd_orient`](/documentation/simd/simd_orient-kj8u) Tests the orientation of the four supplied vectors. [`simd_project`](/documentation/simd/simd_project-6qmce) Returns the first vector projected onto the second vector. [`project(_:_:)`](/documentation/simd/project(_:_:)-9ggyv) Returns the first vector projected onto the second vector. [`simd_fast_project`](/documentation/simd/simd_fast_project-7du9p) Returns the fast projected vector. [`simd_precise_project`](/documentation/simd/simd_precise_project-3sxbh) Returns the precise projected vector. [`simd_reflect`](/documentation/simd/simd_reflect-4bvhy) Returns the reflection direction of an incident vector and a unit normal vector. [`reflect(_:n:)`](/documentation/simd/reflect(_:n:)-64cgz) Returns the reflection direction of an incident vector and a unit normal vector. [`simd_refract`](/documentation/simd/simd_refract-2fvfh) 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:)-7jv66) 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-xftu) Returns the sum of the absolute values of a vector. [`norm_one(_:)`](/documentation/simd/norm_one(_:)-7w7u6) Returns the sum of the absolute values of a vector. [`simd_norm_inf`](/documentation/simd/simd_norm_inf-94ce7) Returns the maximum absolute value of a vector. [`norm_inf(_:)`](/documentation/simd/norm_inf(_:)-6o26q) Returns the maximum absolute value of a vector. ### Length and Distance Functions [`simd_length`](/documentation/simd/simd_length-3r7cm) Returns the length of a vector. [`length(_:)`](/documentation/simd/length(_:)-6t47g) Returns the length of a vector. [`simd_fast_length`](/documentation/simd/simd_fast_length-56ii9) Returns the fast length of a vector. [`simd_precise_length`](/documentation/simd/simd_precise_length-7az1z) Returns the precise length of a vector. [`simd_length_squared`](/documentation/simd/simd_length_squared-3hj9o) Returns the square of the length of a vector. [`length_squared(_:)`](/documentation/simd/length_squared(_:)-8odp0) Returns the square of the length of a vector. [`simd_distance`](/documentation/simd/simd_distance-52a41) Returns the distance between two vectors. [`distance(_:_:)`](/documentation/simd/distance(_:_:)-8t6ut) Returns the distance between two vectors. [`simd_fast_distance`](/documentation/simd/simd_fast_distance-8n00l) Returns the fast distance between two vectors. [`simd_precise_distance`](/documentation/simd/simd_precise_distance-2kvj2) Returns the precise distance between two vectors. [`simd_distance_squared`](/documentation/simd/simd_distance_squared-320dw) Returns the square of the distance between two vectors. [`distance_squared(_:_:)`](/documentation/simd/distance_squared(_:_:)-87jjy) Returns the square of the distance between two vectors. ### Hyperbolic Functions [`acosh(_:)`](/documentation/simd/acosh(_:)-48wtu) Returns the inverse hyperbolic cosine of each element in a vector. [`asinh(_:)`](/documentation/simd/asinh(_:)-5c50h) Returns the inverse hyperbolic sine of each element in a vector. [`atanh(_:)`](/documentation/simd/atanh(_:)-1y6z5) Returns the inverse hyperbolic tangent of each element in a vector. [`cosh(_:)`](/documentation/simd/cosh(_:)-4k02l) Returns the hyperbolic cosine of each element in a vector. [`sinh(_:)`](/documentation/simd/sinh(_:)-15g8v) Returns the hyperbolic sine of each element in a vector. [`tanh(_:)`](/documentation/simd/tanh(_:)-4rx8s) 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(_:_:_:)-9gbqb) 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(_:_:_:)-5j5g8) 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(_:)-6vcwl) Returns the cube root of each element in a vector. [`ceil(_:)`](/documentation/simd/ceil(_:)-580ar) Returns the ceiling of each element in a vector. [`erf(_:)`](/documentation/simd/erf(_:)-2fow4) Returns the error function for each element in a vector. [`erfc(_:)`](/documentation/simd/erfc(_:)-7e6kk) Returns the complementary error function for each element in a vector. [`floor(_:)`](/documentation/simd/floor(_:)-50q1o) Returns the floor of each element in a vector. [`fma(_:_:_:)`](/documentation/simd/fma(_:_:_:)-22bjf) Returns the multiply-add result for corresponding elements in three vectors. [`fmod(_:_:)`](/documentation/simd/fmod(_:_:)-3x8lc) Returns the modulus after dividing each element in a vector by the corresponding element in a second vector. [`hypot(_:_:)`](/documentation/simd/hypot(_:_:)-4xggy) 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(_:)-7kgzo) Returns the natural logarithm of the absolute value of the gamma function of each element in a vector. [`nextafter(_:_:)`](/documentation/simd/nextafter(_:_:)-ymwd) 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(_:_:)-65mb9) Returns each element in a vector raised to the power of the corresponding element in a second vector. [`remainder(_:_:)`](/documentation/simd/remainder(_:_:)-7ij10) 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(_:)-1tl5h) 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(_:_:_:)-8a66m) Returns the multiply-add result for corresponding elements in three vectors. [`tgamma(_:)`](/documentation/simd/tgamma(_:)-6difz) Returns the gamma function for each element in a vector. [`trunc(_:)`](/documentation/simd/trunc(_:)-9byjt) 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(_:)-8bwml) Returns the arccosine of each element in a vector. [`asin(_:)`](/documentation/simd/asin(_:)-5t22r) Returns the arcsine of each element in a vector. [`atan(_:)`](/documentation/simd/atan(_:)-3otbw) Returns the arctangent of each element in a vector. [`atan2(_:_:)`](/documentation/simd/atan2(_:_:)-40z9) Returns the arctangent of each pair of corresponding elements in two vectors. [`cos(_:)`](/documentation/simd/cos(_:)-2d0cu) Returns the cosine of each element in a vector. [`cospi(_:)`](/documentation/simd/cospi(_:)-1ceix) Returns the cosine of each element in a vector multiplied by pi. [`sin(_:)`](/documentation/simd/sin(_:)-78r0i) Returns the sine of each element in a vector. [`sinpi(_:)`](/documentation/simd/sinpi(_:)-99o27) Returns the sine of each element in a vector multiplied by pi. [`sincos(_:)`](/documentation/simd/sincos(_:)-3330) Returns the sine and cosine of each element in a vector. [`sincospi(_:)`](/documentation/simd/sincospi(_:)-98kdl) Returns the sine and cosine of each element in a vector multiplied by pi. [`tan(_:)`](/documentation/simd/tan(_:)-yv9u) Returns the tangent of each element in a vector. [`tanpi(_:)`](/documentation/simd/tanpi(_:)-3lzzx) 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. [`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(_:)-57mgu) Returns true for each element that is finite in a vector. [`isinf(_:)`](/documentation/simd/isinf(_:)-7fd4p) Returns true for each element that is infinite in a vector. [`isnan(_:)`](/documentation/simd/isnan(_:)-j9kr) Returns true for each element that is not a number (NaN) in a vector. [`isnormal(_:)`](/documentation/simd/isnormal(_:)-6f7tq) Returns true for each element that is normal in a vector. ### Alternative Type Alias [`vector_float3`](/documentation/simd/vector_float3) A floating point vector type used to perform physics calculations. [`float3`](/documentation/simd/float3) --- 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)