simd — Apple framework reference

SIMD provides vector and matrix types together with vectorized math, geometry, and linear-algebra operations for high-performance computation. Use fixed-size matrix structures such as simd_float4x4, simd_double3x3, and their half-precision counterparts like simd_half4x4 to represent and transform geometric data across two, three, and four dimensions. Quaternion types simd_quatf, simd_quatd, and simd_quath express rotations in single, double, and half precision. The framework is available on iOS, macOS, tvOS, watchOS, and visionOS.

Half-Precision Matrices 9

Fixed-size matrix structures of 16-bit half-precision floating-point values for compact geometric and linear-algebra data.

St
simd_half2x2
@abstract A matrix with 2 rows and 2 columns.
St
simd_half3x2
@abstract A matrix with 2 rows and 3 columns.
St
simd_half4x2
@abstract A matrix with 2 rows and 4 columns.
St
simd_half2x3
@abstract A matrix with 3 rows and 2 columns.
St
simd_half3x3
@abstract A matrix with 3 rows and 3 columns.
St
simd_half4x3
@abstract A matrix with 3 rows and 4 columns.
St
simd_half2x4
@abstract A matrix with 4 rows and 2 columns.
St
simd_half3x4
@abstract A matrix with 4 rows and 3 columns.
St
simd_half4x4
@abstract A matrix with 4 rows and 4 columns.

Single-Precision Matrices 9

Fixed-size matrix structures of 32-bit single-precision floating-point values for transforming geometric data.

St
simd_float2x2
@abstract A matrix with 2 rows and 2 columns.
St
simd_float3x2
@abstract A matrix with 2 rows and 3 columns.
St
simd_float4x2
@abstract A matrix with 2 rows and 4 columns.
St
simd_float2x3
@abstract A matrix with 3 rows and 2 columns.
St
simd_float3x3
@abstract A matrix with 3 rows and 3 columns.
St
simd_float4x3
@abstract A matrix with 3 rows and 4 columns.
St
simd_float2x4
@abstract A matrix with 4 rows and 2 columns.
St
simd_float3x4
@abstract A matrix with 4 rows and 3 columns.
St
simd_float4x4
@abstract A matrix with 4 rows and 4 columns.

Double-Precision Matrices 9

Fixed-size matrix structures of 64-bit double-precision floating-point values for high-accuracy linear algebra.

St
simd_double2x2
@abstract A matrix with 2 rows and 2 columns.
St
simd_double3x2
@abstract A matrix with 2 rows and 3 columns.
St
simd_double4x2
@abstract A matrix with 2 rows and 4 columns.
St
simd_double2x3
@abstract A matrix with 3 rows and 2 columns.
St
simd_double3x3
@abstract A matrix with 3 rows and 3 columns.
St
simd_double4x3
@abstract A matrix with 3 rows and 4 columns.
St
simd_double2x4
@abstract A matrix with 4 rows and 2 columns.
St
simd_double3x4
@abstract A matrix with 4 rows and 3 columns.
St
simd_double4x4
@abstract A matrix with 4 rows and 4 columns.

Quaternions 3

Types that represent rotations in three-dimensional space across half, single, and double precision.

St
simd_quath
@abstract A half-precision quaternion.
St
simd_quatf
@abstract A single-precision quaternion.
St
simd_quatd
@abstract A double-precision quaternion.

Type Aliases 273

Ty
simd_bool
@abstract A boolean scalar.
Ty
__SIMD_BOOLEAN_TYPE__
@abstract A boolean scalar.
Ty
matrix_half2x2
Ty
matrix_half3x2
Ty
matrix_half4x2
Ty
matrix_half2x3
Ty
matrix_half3x3
Ty
matrix_half4x3
Ty
matrix_half2x4
Ty
matrix_half3x4
Ty
matrix_half4x4
Ty
matrix_float2x2
Ty
matrix_float3x2
Ty
matrix_float4x2
Ty
matrix_float2x3
Ty
matrix_float3x3

Show 257 more

Ty
matrix_float4x3
Ty
matrix_float2x4
Ty
matrix_float3x4
Ty
matrix_float4x4
Ty
matrix_double2x2
Ty
matrix_double3x2
Ty
matrix_double4x2
Ty
matrix_double2x3
Ty
matrix_double3x3
Ty
matrix_double4x3
Ty
matrix_double2x4
Ty
matrix_double3x4
Ty
matrix_double4x4
Ty
simd_packed_char2
@abstract A vector of two 8-bit signed (twos-complement) integers with
Ty
simd_packed_char4
@abstract A vector of four 8-bit signed (twos-complement) integers with
Ty
simd_packed_char8
@abstract A vector of eight 8-bit signed (twos-complement) integers with
Ty
simd_packed_char16
@abstract A vector of sixteen 8-bit signed (twos-complement) integers
Ty
simd_packed_char32
@abstract A vector of thirty-two 8-bit signed (twos-complement) integers
Ty
simd_packed_char64
@abstract A vector of sixty-four 8-bit signed (twos-complement) integers
Ty
simd_packed_uchar2
@abstract A vector of two 8-bit unsigned integers with relaxed
Ty
simd_packed_uchar4
@abstract A vector of four 8-bit unsigned integers with relaxed
Ty
simd_packed_uchar8
@abstract A vector of eight 8-bit unsigned integers with relaxed
Ty
simd_packed_uchar16
@abstract A vector of sixteen 8-bit unsigned integers with relaxed
Ty
simd_packed_uchar32
@abstract A vector of thirty-two 8-bit unsigned integers with relaxed
Ty
simd_packed_uchar64
@abstract A vector of sixty-four 8-bit unsigned integers with relaxed
Ty
simd_packed_short2
@abstract A vector of two 16-bit signed (twos-complement) integers with
Ty
simd_packed_short4
@abstract A vector of four 16-bit signed (twos-complement) integers with
Ty
simd_packed_short8
@abstract A vector of eight 16-bit signed (twos-complement) integers
Ty
simd_packed_short16
@abstract A vector of sixteen 16-bit signed (twos-complement) integers
Ty
simd_packed_short32
@abstract A vector of thirty-two 16-bit signed (twos-complement)
Ty
simd_packed_ushort2
@abstract A vector of two 16-bit unsigned integers with relaxed
Ty
simd_packed_ushort4
@abstract A vector of four 16-bit unsigned integers with relaxed
Ty
simd_packed_ushort8
@abstract A vector of eight 16-bit unsigned integers with relaxed
Ty
simd_packed_ushort16
@abstract A vector of sixteen 16-bit unsigned integers with relaxed
Ty
simd_packed_ushort32
@abstract A vector of thirty-two 16-bit unsigned integers with relaxed
Ty
simd_packed_half2
@abstract A vector of two 16-bit floating-point numbers with relaxed
Ty
simd_packed_half4
@abstract A vector of four 16-bit floating-point numbers with relaxed
Ty
simd_packed_half8
@abstract A vector of eight 16-bit floating-point numbers with relaxed
Ty
simd_packed_half16
@abstract A vector of sixteen 16-bit floating-point numbers with relaxed
Ty
simd_packed_half32
@abstract A vector of thirty-two 16-bit floating-point numbers with
Ty
simd_packed_int2
@abstract A vector of two 32-bit signed (twos-complement) integers with
Ty
simd_packed_int4
@abstract A vector of four 32-bit signed (twos-complement) integers with
Ty
simd_packed_int8
@abstract A vector of eight 32-bit signed (twos-complement) integers
Ty
simd_packed_int16
@abstract A vector of sixteen 32-bit signed (twos-complement) integers
Ty
simd_packed_uint2
@abstract A vector of two 32-bit unsigned integers with relaxed
Ty
simd_packed_uint4
@abstract A vector of four 32-bit unsigned integers with relaxed
Ty
simd_packed_uint8
@abstract A vector of eight 32-bit unsigned integers with relaxed
Ty
simd_packed_uint16
@abstract A vector of sixteen 32-bit unsigned integers with relaxed
Ty
simd_packed_float2
@abstract A vector of two 32-bit floating-point numbers with relaxed
Ty
simd_packed_float4
@abstract A vector of four 32-bit floating-point numbers with relaxed
Ty
simd_packed_float8
@abstract A vector of eight 32-bit floating-point numbers with relaxed
Ty
simd_packed_float16
@abstract A vector of sixteen 32-bit floating-point numbers with relaxed
Ty
simd_packed_long2
Ty
simd_packed_long4
Ty
simd_packed_long8
Ty
simd_packed_ulong2
Ty
simd_packed_ulong4
Ty
simd_packed_ulong8
Ty
simd_packed_double2
Ty
simd_packed_double4
Ty
simd_packed_double8
Ty
packed_char2
! @abstract A vector of two 8-bit signed (twos-complement) integers with
Ty
packed_char4
@abstract A vector of four 8-bit signed (twos-complement) integers with
Ty
packed_char8
@abstract A vector of eight 8-bit signed (twos-complement) integers with
Ty
packed_char16
@abstract A vector of sixteen 8-bit signed (twos-complement) integers
Ty
packed_char32
@abstract A vector of thirty-two 8-bit signed (twos-complement) integers
Ty
packed_char64
@abstract A vector of sixty-four 8-bit signed (twos-complement) integers
Ty
packed_uchar2
@abstract A vector of two 8-bit unsigned integers with relaxed
Ty
packed_uchar4
@abstract A vector of four 8-bit unsigned integers with relaxed
Ty
packed_uchar8
@abstract A vector of eight 8-bit unsigned integers with relaxed
Ty
packed_uchar16
@abstract A vector of sixteen 8-bit unsigned integers with relaxed
Ty
packed_uchar32
@abstract A vector of thirty-two 8-bit unsigned integers with relaxed
Ty
packed_uchar64
@abstract A vector of sixty-four 8-bit unsigned integers with relaxed
Ty
packed_short2
@abstract A vector of two 16-bit signed (twos-complement) integers with
Ty
packed_short4
@abstract A vector of four 16-bit signed (twos-complement) integers with
Ty
packed_short8
@abstract A vector of eight 16-bit signed (twos-complement) integers
Ty
packed_short16
@abstract A vector of sixteen 16-bit signed (twos-complement) integers
Ty
packed_short32
@abstract A vector of thirty-two 16-bit signed (twos-complement)
Ty
packed_ushort2
@abstract A vector of two 16-bit unsigned integers with relaxed
Ty
packed_ushort4
@abstract A vector of four 16-bit unsigned integers with relaxed
Ty
packed_ushort8
@abstract A vector of eight 16-bit unsigned integers with relaxed
Ty
packed_ushort16
@abstract A vector of sixteen 16-bit unsigned integers with relaxed
Ty
packed_ushort32
@abstract A vector of thirty-two 16-bit unsigned integers with relaxed
Ty
packed_int2
@abstract A vector of two 32-bit signed (twos-complement) integers with
Ty
packed_int4
@abstract A vector of four 32-bit signed (twos-complement) integers with
Ty
packed_int8
@abstract A vector of eight 32-bit signed (twos-complement) integers
Ty
packed_int16
@abstract A vector of sixteen 32-bit signed (twos-complement) integers
Ty
packed_uint2
@abstract A vector of two 32-bit unsigned integers with relaxed
Ty
packed_uint4
@abstract A vector of four 32-bit unsigned integers with relaxed
Ty
packed_uint8
@abstract A vector of eight 32-bit unsigned integers with relaxed
Ty
packed_uint16
@abstract A vector of sixteen 32-bit unsigned integers with relaxed
Ty
packed_float2
@abstract A vector of two 32-bit floating-point numbers with relaxed
Ty
packed_float4
@abstract A vector of four 32-bit floating-point numbers with relaxed
Ty
packed_float8
@abstract A vector of eight 32-bit floating-point numbers with relaxed
Ty
packed_float16
@abstract A vector of sixteen 32-bit floating-point numbers with relaxed
Ty
packed_long2
@abstract A vector of two 64-bit signed (twos-complement) integers with
Ty
packed_long4
@abstract A vector of four 64-bit signed (twos-complement) integers with
Ty
packed_long8
@abstract A vector of eight 64-bit signed (twos-complement) integers
Ty
packed_ulong2
@abstract A vector of two 64-bit unsigned integers with relaxed
Ty
packed_ulong4
@abstract A vector of four 64-bit unsigned integers with relaxed
Ty
packed_ulong8
@abstract A vector of eight 64-bit unsigned integers with relaxed
Ty
packed_double2
@abstract A vector of two 64-bit floating-point numbers with relaxed
Ty
packed_double4
@abstract A vector of four 64-bit floating-point numbers with relaxed
Ty
packed_double8
@abstract A vector of eight 64-bit floating-point numbers with relaxed
Ty
simd_char1
@abstract A scalar 8-bit signed (twos-complement) integer.
Ty
simd_char2
@abstract A vector of two 8-bit signed (twos-complement) integers.
Ty
simd_char3
@abstract A vector of three 8-bit signed (twos-complement) integers.
Ty
simd_char4
@abstract A vector of four 8-bit signed (twos-complement) integers.
Ty
simd_char8
@abstract A vector of eight 8-bit signed (twos-complement) integers.
Ty
simd_char16
@abstract A vector of sixteen 8-bit signed (twos-complement) integers.
Ty
simd_char32
@abstract A vector of thirty-two 8-bit signed (twos-complement)
Ty
simd_char64
@abstract A vector of sixty-four 8-bit signed (twos-complement)
Ty
simd_uchar1
@abstract A scalar 8-bit unsigned integer.
Ty
simd_uchar2
@abstract A vector of two 8-bit unsigned integers.
Ty
simd_uchar3
@abstract A vector of three 8-bit unsigned integers.
Ty
simd_uchar4
@abstract A vector of four 8-bit unsigned integers.
Ty
simd_uchar8
@abstract A vector of eight 8-bit unsigned integers.
Ty
simd_uchar16
@abstract A vector of sixteen 8-bit unsigned integers.
Ty
simd_uchar32
@abstract A vector of thirty-two 8-bit unsigned integers.
Ty
simd_uchar64
@abstract A vector of sixty-four 8-bit unsigned integers.
Ty
simd_short1
@abstract A scalar 16-bit signed (twos-complement) integer.
Ty
simd_short2
@abstract A vector of two 16-bit signed (twos-complement) integers.
Ty
simd_short3
@abstract A vector of three 16-bit signed (twos-complement) integers.
Ty
simd_short4
@abstract A vector of four 16-bit signed (twos-complement) integers.
Ty
simd_short8
@abstract A vector of eight 16-bit signed (twos-complement) integers.
Ty
simd_short16
@abstract A vector of sixteen 16-bit signed (twos-complement) integers.
Ty
simd_short32
@abstract A vector of thirty-two 16-bit signed (twos-complement)
Ty
simd_ushort1
@abstract A scalar 16-bit unsigned integer.
Ty
simd_ushort2
@abstract A vector of two 16-bit unsigned integers.
Ty
simd_ushort3
@abstract A vector of three 16-bit unsigned integers.
Ty
simd_ushort4
@abstract A vector of four 16-bit unsigned integers.
Ty
simd_ushort8
@abstract A vector of eight 16-bit unsigned integers.
Ty
simd_ushort16
@abstract A vector of sixteen 16-bit unsigned integers.
Ty
simd_ushort32
@abstract A vector of thirty-two 16-bit unsigned integers.
Ty
simd_half1
@abstract A scalar 16-bit floating-point number.
Ty
simd_half2
@abstract A vector of two 16-bit floating-point numbers.
Ty
simd_half3
@abstract A vector of three 16-bit floating-point numbers.
Ty
simd_half4
@abstract A vector of four 16-bit floating-point numbers.
Ty
simd_half8
@abstract A vector of eight 16-bit floating-point numbers.
Ty
simd_half16
@abstract A vector of sixteen 16-bit floating-point numbers.
Ty
simd_half32
@abstract A vector of thirty-two 16-bit floating-point numbers.
Ty
simd_int1
@abstract A scalar 32-bit signed (twos-complement) integer.
Ty
simd_int2
@abstract A vector of two 32-bit signed (twos-complement) integers.
Ty
simd_int3
@abstract A vector of three 32-bit signed (twos-complement) integers.
Ty
simd_int4
@abstract A vector of four 32-bit signed (twos-complement) integers.
Ty
simd_int8
@abstract A vector of eight 32-bit signed (twos-complement) integers.
Ty
simd_int16
@abstract A vector of sixteen 32-bit signed (twos-complement) integers.
Ty
simd_uint1
@abstract A scalar 32-bit unsigned integer.
Ty
simd_uint2
@abstract A vector of two 32-bit unsigned integers.
Ty
simd_uint3
@abstract A vector of three 32-bit unsigned integers.
Ty
simd_uint4
@abstract A vector of four 32-bit unsigned integers.
Ty
simd_uint8
@abstract A vector of eight 32-bit unsigned integers.
Ty
simd_uint16
@abstract A vector of sixteen 32-bit unsigned integers.
Ty
simd_float1
@abstract A scalar 32-bit floating-point number.
Ty
simd_float2
@abstract A vector of two 32-bit floating-point numbers.
Ty
simd_float3
@abstract A vector of three 32-bit floating-point numbers.
Ty
simd_float4
@abstract A vector of four 32-bit floating-point numbers.
Ty
simd_float8
@abstract A vector of eight 32-bit floating-point numbers.
Ty
simd_float16
@abstract A vector of sixteen 32-bit floating-point numbers.
Ty
simd_long1
Ty
simd_long2
@abstract A vector of two 64-bit signed (twos-complement) integers.
Ty
simd_long3
@abstract A vector of three 64-bit signed (twos-complement) integers.
Ty
simd_long4
@abstract A vector of four 64-bit signed (twos-complement) integers.
Ty
simd_long8
@abstract A vector of eight 64-bit signed (twos-complement) integers.
Ty
simd_ulong1
Ty
simd_ulong2
@abstract A vector of two 64-bit unsigned integers.
Ty
simd_ulong3
@abstract A vector of three 64-bit unsigned integers.
Ty
simd_ulong4
@abstract A vector of four 64-bit unsigned integers.
Ty
simd_ulong8
@abstract A vector of eight 64-bit unsigned integers.
Ty
simd_double1
@abstract A scalar 64-bit floating-point number.
Ty
simd_double2
@abstract A vector of two 64-bit floating-point numbers.
Ty
simd_double3
@abstract A vector of three 64-bit floating-point numbers.
Ty
simd_double4
@abstract A vector of four 64-bit floating-point numbers.
Ty
simd_double8
@abstract A vector of eight 64-bit floating-point numbers.
Ty
vector_char2
@abstract A vector of two 8-bit signed (twos-complement) integers.
Ty
vector_char3
@abstract A vector of three 8-bit signed (twos-complement) integers.
Ty
vector_char4
@abstract A vector of four 8-bit signed (twos-complement) integers.
Ty
vector_char8
@abstract A vector of eight 8-bit signed (twos-complement) integers.
Ty
vector_char16
@abstract A vector of sixteen 8-bit signed (twos-complement) integers.
Ty
vector_char32
@abstract A vector of thirty-two 8-bit signed (twos-complement)
Ty
vector_uchar2
@abstract A vector of two 8-bit unsigned integers.
Ty
vector_uchar3
@abstract A vector of three 8-bit unsigned integers.
Ty
vector_uchar4
@abstract A vector of four 8-bit unsigned integers.
Ty
vector_uchar8
@abstract A vector of eight 8-bit unsigned integers.
Ty
vector_uchar16
@abstract A vector of sixteen 8-bit unsigned integers.
Ty
vector_uchar32
@abstract A vector of thirty-two 8-bit unsigned integers.
Ty
vector_short2
@abstract A vector of two 16-bit signed (twos-complement) integers.
Ty
vector_short3
@abstract A vector of three 16-bit signed (twos-complement) integers.
Ty
vector_short4
@abstract A vector of four 16-bit signed (twos-complement) integers.
Ty
vector_short8
@abstract A vector of eight 16-bit signed (twos-complement) integers.
Ty
vector_short16
@abstract A vector of sixteen 16-bit signed (twos-complement) integers.
Ty
vector_short32
@abstract A vector of thirty-two 16-bit signed (twos-complement)
Ty
vector_ushort2
@abstract A vector of two 16-bit unsigned integers.
Ty
vector_ushort3
@abstract A vector of three 16-bit unsigned integers.
Ty
vector_ushort4
@abstract A vector of four 16-bit unsigned integers.
Ty
vector_ushort8
@abstract A vector of eight 16-bit unsigned integers.
Ty
vector_ushort16
@abstract A vector of sixteen 16-bit unsigned integers.
Ty
vector_ushort32
@abstract A vector of thirty-two 16-bit unsigned integers.
Ty
vector_int2
@abstract A vector of two 32-bit signed (twos-complement) integers.
Ty
vector_int3
@abstract A vector of three 32-bit signed (twos-complement) integers.
Ty
vector_int4
@abstract A vector of four 32-bit signed (twos-complement) integers.
Ty
vector_int8
@abstract A vector of eight 32-bit signed (twos-complement) integers.
Ty
vector_int16
@abstract A vector of sixteen 32-bit signed (twos-complement) integers.
Ty
vector_uint2
@abstract A vector of two 32-bit unsigned integers.
Ty
vector_uint3
@abstract A vector of three 32-bit unsigned integers.
Ty
vector_uint4
@abstract A vector of four 32-bit unsigned integers.
Ty
vector_uint8
@abstract A vector of eight 32-bit unsigned integers.
Ty
vector_uint16
@abstract A vector of sixteen 32-bit unsigned integers.
Ty
vector_float2
@abstract A vector of two 32-bit floating-point numbers.
Ty
vector_float3
@abstract A vector of three 32-bit floating-point numbers.
Ty
vector_float4
@abstract A vector of four 32-bit floating-point numbers.
Ty
vector_float8
@abstract A vector of eight 32-bit floating-point numbers.
Ty
vector_float16
@abstract A vector of sixteen 32-bit floating-point numbers.
Ty
vector_long1
@abstract A scalar 64-bit signed (twos-complement) integer.
Ty
vector_long2
@abstract A vector of two 64-bit signed (twos-complement) integers.
Ty
vector_long3
@abstract A vector of three 64-bit signed (twos-complement) integers.
Ty
vector_long4
@abstract A vector of four 64-bit signed (twos-complement) integers.
Ty
vector_long8
@abstract A vector of eight 64-bit signed (twos-complement) integers.
Ty
vector_ulong1
@abstract A scalar 64-bit unsigned integer.
Ty
vector_ulong2
@abstract A vector of two 64-bit unsigned integers.
Ty
vector_ulong3
@abstract A vector of three 64-bit unsigned integers.
Ty
vector_ulong4
@abstract A vector of four 64-bit unsigned integers.
Ty
vector_ulong8
@abstract A vector of eight 64-bit unsigned integers.
Ty
vector_double2
@abstract A vector of two 64-bit floating-point numbers.
Ty
vector_double3
@abstract A vector of three 64-bit floating-point numbers.
Ty
vector_double4
@abstract A vector of four 64-bit floating-point numbers.
Ty
vector_double8
@abstract A vector of eight 64-bit floating-point numbers.
Ty
double2
Ty
double2x2
Ty
double2x3
Ty
double2x4
Ty
double3
Ty
double3x2
Ty
double3x3
Ty
double3x4
Ty
double4
Ty
double4x2
Ty
double4x3
Ty
double4x4
Ty
float2
Ty
float2x2
Ty
float2x3
Ty
float2x4
Ty
float3
Ty
float3x2
Ty
float3x3
Ty
float3x4
Ty
float4
Ty
float4x2
Ty
float4x3
Ty
float4x4
Ty
int2
Ty
int3
Ty
int4
Ty
uint2
Ty
uint3
Ty
uint4

Extends 1

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