Type Alias

# simd_float2

A vector of two 32-bit single-precision values.

## Topics

### Vector Creation Functions

`simd_make_float2`

Returns a new vector by truncating the specified vector.

`simd_make_float2`

Returns a new vector by truncating the specified vector.

`simd_make_float2`

Returns a new vector with the first element set to a scalar value, and other elements set to zero.

`simd_make_float2`

Returns a new vector from a two-element vector.

`simd_make_float2`

Returns a new vector from the first and second elements of a three-element vector.

`simd_make_float2`

Returns a new vector from the first and second elements of a four-element vector.

`simd_make_float2`

Returns a new vector from 2 scalar values.

`simd_make_float2_undef`

Returns a new vector with the first element set to a scalar value, and other elements undefined.

### Reduce Functions

`simd_reduce_add`

Returns the sum of all elements in a vector.

`simd_reduce_max`

Returns the maximum value in a vector.

`simd_reduce_min`

Returns the minimum value in a vector.

### Interpolation Functions

`simd_mix`

Returns an elementwise linearly interpolated value between two vectors.

`simd_smoothstep`

Returns an elementwise smoothly interpolated value between two vectors.

### Extrema Functions

`simd_max`

Returns the maximum value of each element in a vector.

`simd_min`

Returns the minimum value of each element in a vector.

### Reciprocal and Reciprocal Square Root Functions

`simd_recip`

Returns the reciprocal of each element in a vector.

`simd_rsqrt`

Returns the reciprocal square root of each element in a vector.

`simd_precise_recip`

Returns the precise reciprocal of each element in a vector.

`simd_fast_recip`

Returns the fast reciprocal of each element in a vector.

`simd_fast_rsqrt`

Returns the fast reciprocal square root of each element in a vector.

### Exponential and Logarithmic Functions

`exp`

Returns e raised to the power of each element in a vector.

`exp2`

Returns 2 raised to the power of each element in a vector.

`exp10`

Returns 10 raised to the power of each element in a vector.

`expm1`

Returns eˣ-1 for each element in a vector.

`log`

Returns the natural logarithm of each element in a vector.

`log2`

Returns the base 2 logarithm of each element in a vector.

`log10`

Returns the base 10 logarithm of each element in a vector.

`log1p`

Returns log(1+x) for each element in a vector.

### Geometry Functions

`simd_cross`

Returns the cross product of two vectors.

`simd_dot`

Returns the dot product of two vectors.

`simd_incircle`

Returns true if a point is within a circle; false otherwise.

`simd_normalize`

Returns a vector pointing in the same direction of the supplied vector with a length of 1.

`simd_orient`

Tests the orientation of the two supplied vectors.

`simd_orient`

Tests the orientation of the three supplied vectors.

`simd_project`

Returns the first vector projected onto the second vector.

`simd_precise_normalize`

Returns the precise normalized vector.

`simd_precise_project`

Returns the precise projected vector.

`simd_fast_normalize`

Returns the fast normalized vector.

`simd_fast_project`

Returns the fast projected vector.

`simd_distance_squared`

Returns the square of the distance between two vectors.

`simd_length`

Returns the length of a vector.

`simd_length_squared`

Returns the square of the length of a vector.

`simd_norm_inf`

Returns the inf-norm (the maximum absolute value) of a vector.

`simd_norm_one`

Returns the one-norm (the sum of absolute values) of a vector.

`simd_refract`

Returns the refraction direction of an incident vector, a unit normal vector, and an index of refraction eta.

`simd_reflect`

Returns the reflection direction of an incident vector and a unit normal vector.

### Hyperbolic Functions

`acosh`

Returns the inverse hyperbolic cosine of each element in a vector.

`asinh`

Returns the inverse hyperbolic sine of each element in a vector.

`atanh`

Returns the inverse hyperbolic tangent of each element in a vector.

`cosh`

Returns the hyperbolic cosine of each element in a vector.

`sinh`

Returns the hyperbolic sine of each element in a vector.

`tanh`

Returns the hyperbolic tangent of each element in a vector.

### Logic Functions

`simd_select`

Returns a vector containing elements from either the first or second parameter, depending on the high-order bit of the corresponding element in the third parameter.

`simd_bitselect`

Returns a vector containing elements from either the first or second parameter, depending on the corresponding element in the third parameter.

### Math Functions

`cbrt`

Returns the cube root of each element in a vector.

`copysign`

Returns each element of a vector, with the sign of the corresponding element in a second vector.

`erf`

Returns the error function for each element in a vector.

`erfc`

Returns the complementary error function for each element in a vector.

`fabs`

Returns the absolute value of each element in a vector.

`fdim`

Returns the positive difference between corresponding elements in two vectors.

`fma`

Returns the multiply-add result for corresponding elements in three vectors.

`fmod`

Returns the modulus after dividing each element in a vector by the corresponding element in a second vector.

`hypot`

Returns the hypotenuse of a right-angled triangle with the sides that are adjacent to the right angle defined by two vectors.

`nextafter`

Returns the next representable value of each element in a vector in the direction of the corresponding element in a second vector.

`pow`

Returns each element in a vector raised to the power of the corresponding element in a second vector.

`remainder`

Returns the remainder after dividing each element in an array by the corresponding element in a second array of double-precision values.

`rint`

Returns each element in a vector rounded to the nearest integer in the specified direction.

`round`

Returns each element in a vector rounded to the nearest integer.

`simd_muladd`

Returns the multiply-add result for corresponding elements in three vectors.

`sqrt`

Returns the square root of each element in a vector.

`tgamma`

Returns the gamma function for each element in a vector.

### Trigonometric Functions

`acos`

Returns the arccosine of each element in a vector.

`asin`

Returns the arcsine of each element in a vector.

`atan`

Returns the arctangent of each element in a vector.

`atan2`

Returns the arctangent of each pair of corresponding elements in two vectors.

`cos`

Returns the cosine of each element in a vector.

`cospi`

Returns the cosine of each element in a vector multiplied by pi.

`sin`

Returns the sine of each element in a vector.

`sinpi`

Returns the sine of each element in a vector multiplied by pi.

`tan`

Returns the tangent of each element in a vector.

`tanpi`

Returns the tangent of each element in a vector multiplied by pi.

`simd_float3`
`simd_float4`