1/* Copyright (c) 2014-2017 Apple, Inc. All rights reserved.
   2 *
   3 *      Function                        Result
   4 *      ------------------------------------------------------------------
   5 *
   6 *      simd_diagonal_matrix(x)         A square matrix with the vector x
   7 *                                      as its diagonal.
   8 *
   9 *      simd_matrix(c0, c1, ... )       A matrix with the specified vectors
  10 *                                      as columns.
  11 *
  12 *      simd_matrix_from_rows(r0, r1, ... )  A matrix with the specified vectors
  13 *                                      as rows.
  14 *
  15 *      simd_mul(a,x)                   Scalar product a*x.
  16 *
  17 *      simd_linear_combination(a,x,b,y)  a*x + b*y.
  18 *
  19 *      simd_add(x,y)                   Macro wrapping linear_combination
  20 *                                      to compute x + y.
  21 *
  22 *      simd_sub(x,y)                   Macro wrapping linear_combination
  23 *                                      to compute x - y.
  24 *
  25 *      simd_transpose(x)               Transpose of the matrix x.
  26 *
  27 *      simd_trace(x)                   Trace of the matrix x.
  28 *
  29 *      simd_determinant(x)             Determinant of the matrix x.
  30 *
  31 *      simd_inverse(x)                 Inverse of x if x is non-singular.  If
  32 *                                      x is singular, the result is undefined.
  33 *
  34 *      simd_mul(x,y)                   If x is a matrix, returns the matrix
  35 *                                      product x*y, where y is either a matrix
  36 *                                      or a column vector.  If x is a vector,
  37 *                                      returns the product x*y where x is
  38 *                                      interpreted as a row vector.
  39 *
  40 *      simd_equal(x,y)                 Returns true if and only if every
  41 *                                      element of x is exactly equal to the
  42 *                                      corresponding element of y.
  43 *
  44 *      simd_almost_equal_elements(x,y,tol)
  45 *                                      Returns true if and only if for each
  46 *                                      entry xij in x, the corresponding
  47 *                                      element yij in y satisfies
  48 *                                      |xij - yij| <= tol.
  49 *
  50 *      simd_almost_equal_elements_relative(x,y,tol)
  51 *                                      Returns true if and only if for each
  52 *                                      entry xij in x, the corresponding
  53 *                                      element yij in y satisfies
  54 *                                      |xij - yij| <= tol*|xij|.
  55 *
  56 *  The header also defines a few useful global matrix objects:
  57 *  matrix_identity_floatNxM and matrix_identity_doubleNxM, may be used to get
  58 *  an identity matrix of the specified size.
  59 *
  60 *  In C++, we are able to use namespacing to make the functions more concise;
  61 *  we also overload some common arithmetic operators to work with the matrix
  62 *  types:
  63 *
  64 *      C++ Function                    Equivalent C Function
  65 *      --------------------------------------------------------------------
  66 *      simd::inverse                   simd_inverse
  67 *      simd::transpose                 simd_transpose
  68 *      operator+                       simd_add
  69 *      operator-                       simd_sub
  70 *      operator+=                      N/A
  71 *      operator-=                      N/A
  72 *      operator*                       simd_mul or simd_mul
  73 *      operator*=                      simd_mul or simd_mul
  74 *      operator==                      simd_equal
  75 *      operator!=                      !simd_equal
  76 *      simd::almost_equal_elements     simd_almost_equal_elements
  77 *      simd::almost_equal_elements_relative  simd_almost_equal_elements_relative
  78 *
  79 *  <simd/matrix_types.h> provides constructors for C++ matrix types.
  80 */
  81
  82#ifndef SIMD_MATRIX_HEADER
  83#define SIMD_MATRIX_HEADER
  84
  85#include <simd/base.h>
  86#if SIMD_COMPILER_HAS_REQUIRED_FEATURES
  87#include <simd/matrix_types.h>
  88#include <simd/geometry.h>
  89#include <simd/extern.h>
  90#include <simd/logic.h>
  91
  92#ifdef __cplusplus
  93    extern "C" {
  94#endif
  95
  96extern const simd_half2x2  matrix_identity_half2x2   __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
  97extern const simd_half3x3  matrix_identity_half3x3   __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
  98extern const simd_half4x4  matrix_identity_half4x4   __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
  99extern const simd_float2x2 matrix_identity_float2x2  __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 100extern const simd_float3x3 matrix_identity_float3x3  __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 101extern const simd_float4x4 matrix_identity_float4x4  __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 102extern const simd_double2x2 matrix_identity_double2x2 __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 103extern const simd_double3x3 matrix_identity_double3x3 __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 104extern const simd_double4x4 matrix_identity_double4x4 __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 105
 106static simd_half2x2 SIMD_CFUNC simd_diagonal_matrix(simd_half2 __x);
 107static simd_half3x3 SIMD_CFUNC simd_diagonal_matrix(simd_half3 __x);
 108static simd_half4x4 SIMD_CFUNC simd_diagonal_matrix(simd_half4 __x);
 109static simd_float2x2 SIMD_CFUNC simd_diagonal_matrix(simd_float2 __x);
 110static simd_float3x3 SIMD_CFUNC simd_diagonal_matrix(simd_float3 __x);
 111static simd_float4x4 SIMD_CFUNC simd_diagonal_matrix(simd_float4 __x);
 112static simd_double2x2 SIMD_CFUNC simd_diagonal_matrix(simd_double2 __x);
 113static simd_double3x3 SIMD_CFUNC simd_diagonal_matrix(simd_double3 __x);
 114static simd_double4x4 SIMD_CFUNC simd_diagonal_matrix(simd_double4 __x);
 115#define matrix_from_diagonal simd_diagonal_matrix
 116
 117static simd_half2x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1);
 118static simd_half3x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1, simd_half2  col2);
 119static simd_half4x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1, simd_half2  col2, simd_half2  col3);
 120static simd_half2x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1);
 121static simd_half3x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1, simd_half3  col2);
 122static simd_half4x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1, simd_half3  col2, simd_half3  col3);
 123static simd_half2x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1);
 124static simd_half3x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1, simd_half4  col2);
 125static simd_half4x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1, simd_half4  col2, simd_half4  col3);
 126static simd_float2x2 SIMD_CFUNC simd_matrix(simd_float2 col0, simd_float2 col1);
 127static simd_float3x2 SIMD_CFUNC simd_matrix(simd_float2 col0, simd_float2 col1, simd_float2 col2);
 128static simd_float4x2 SIMD_CFUNC simd_matrix(simd_float2 col0, simd_float2 col1, simd_float2 col2, simd_float2 col3);
 129static simd_float2x3 SIMD_CFUNC simd_matrix(simd_float3 col0, simd_float3 col1);
 130static simd_float3x3 SIMD_CFUNC simd_matrix(simd_float3 col0, simd_float3 col1, simd_float3 col2);
 131static simd_float4x3 SIMD_CFUNC simd_matrix(simd_float3 col0, simd_float3 col1, simd_float3 col2, simd_float3 col3);
 132static simd_float2x4 SIMD_CFUNC simd_matrix(simd_float4 col0, simd_float4 col1);
 133static simd_float3x4 SIMD_CFUNC simd_matrix(simd_float4 col0, simd_float4 col1, simd_float4 col2);
 134static simd_float4x4 SIMD_CFUNC simd_matrix(simd_float4 col0, simd_float4 col1, simd_float4 col2, simd_float4 col3);
 135static simd_double2x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1);
 136static simd_double3x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1, simd_double2 col2);
 137static simd_double4x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1, simd_double2 col2, simd_double2 col3);
 138static simd_double2x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1);
 139static simd_double3x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1, simd_double3 col2);
 140static simd_double4x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1, simd_double3 col2, simd_double3 col3);
 141static simd_double2x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1);
 142static simd_double3x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1, simd_double4 col2);
 143static simd_double4x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1, simd_double4 col2, simd_double4 col3);
 144#define matrix_from_columns simd_matrix
 145
 146static simd_half2x2 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1);
 147static simd_half2x3 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1, simd_half2  row2);
 148static simd_half2x4 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1, simd_half2  row2, simd_half2 row3);
 149static simd_half3x2 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1);
 150static simd_half3x3 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1, simd_half3  row2);
 151static simd_half3x4 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1, simd_half3  row2, simd_half3 row3);
 152static simd_half4x2 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1);
 153static simd_half4x3 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1, simd_half4  row2);
 154static simd_half4x4 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1, simd_half4  row2, simd_half4 row3);
 155static simd_float2x2 SIMD_CFUNC simd_matrix_from_rows(simd_float2 row0, simd_float2 row1);
 156static simd_float2x3 SIMD_CFUNC simd_matrix_from_rows(simd_float2 row0, simd_float2 row1, simd_float2 row2);
 157static simd_float2x4 SIMD_CFUNC simd_matrix_from_rows(simd_float2 row0, simd_float2 row1, simd_float2 row2, simd_float2 row3);
 158static simd_float3x2 SIMD_CFUNC simd_matrix_from_rows(simd_float3 row0, simd_float3 row1);
 159static simd_float3x3 SIMD_CFUNC simd_matrix_from_rows(simd_float3 row0, simd_float3 row1, simd_float3 row2);
 160static simd_float3x4 SIMD_CFUNC simd_matrix_from_rows(simd_float3 row0, simd_float3 row1, simd_float3 row2, simd_float3 row3);
 161static simd_float4x2 SIMD_CFUNC simd_matrix_from_rows(simd_float4 row0, simd_float4 row1);
 162static simd_float4x3 SIMD_CFUNC simd_matrix_from_rows(simd_float4 row0, simd_float4 row1, simd_float4 row2);
 163static simd_float4x4 SIMD_CFUNC simd_matrix_from_rows(simd_float4 row0, simd_float4 row1, simd_float4 row2, simd_float4 row3);
 164static simd_double2x2 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1);
 165static simd_double2x3 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1, simd_double2 row2);
 166static simd_double2x4 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1, simd_double2 row2, simd_double2 row3);
 167static simd_double3x2 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1);
 168static simd_double3x3 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1, simd_double3 row2);
 169static simd_double3x4 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1, simd_double3 row2, simd_double3 row3);
 170static simd_double4x2 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1);
 171static simd_double4x3 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1, simd_double4 row2);
 172static simd_double4x4 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1, simd_double4 row2, simd_double4 row3);
 173#define matrix_from_rows simd_matrix_from_rows
 174        
 175static   simd_half3x3 SIMD_NOINLINE simd_matrix3x3(simd_quath q);
 176static   simd_half4x4 SIMD_NOINLINE simd_matrix4x4(simd_quath q);
 177static  simd_float3x3 SIMD_NOINLINE simd_matrix3x3(simd_quatf q);
 178static  simd_float4x4 SIMD_NOINLINE simd_matrix4x4(simd_quatf q);
 179static simd_double3x3 SIMD_NOINLINE simd_matrix3x3(simd_quatd q);
 180static simd_double4x4 SIMD_NOINLINE simd_matrix4x4(simd_quatd q);
 181
 182static simd_half2x2  SIMD_CFUNC simd_mul(_Float16 __a, simd_half2x2 __x);
 183static simd_half3x2  SIMD_CFUNC simd_mul(_Float16 __a, simd_half3x2 __x);
 184static simd_half4x2  SIMD_CFUNC simd_mul(_Float16 __a, simd_half4x2 __x);
 185static simd_half2x3  SIMD_CFUNC simd_mul(_Float16 __a, simd_half2x3 __x);
 186static simd_half3x3  SIMD_CFUNC simd_mul(_Float16 __a, simd_half3x3 __x);
 187static simd_half4x3  SIMD_CFUNC simd_mul(_Float16 __a, simd_half4x3 __x);
 188static simd_half2x4  SIMD_CFUNC simd_mul(_Float16 __a, simd_half2x4 __x);
 189static simd_half3x4  SIMD_CFUNC simd_mul(_Float16 __a, simd_half3x4 __x);
 190static simd_half4x4  SIMD_CFUNC simd_mul(_Float16 __a, simd_half4x4 __x);
 191static simd_float2x2 SIMD_CFUNC simd_mul(float __a, simd_float2x2 __x);
 192static simd_float3x2 SIMD_CFUNC simd_mul(float __a, simd_float3x2 __x);
 193static simd_float4x2 SIMD_CFUNC simd_mul(float __a, simd_float4x2 __x);
 194static simd_float2x3 SIMD_CFUNC simd_mul(float __a, simd_float2x3 __x);
 195static simd_float3x3 SIMD_CFUNC simd_mul(float __a, simd_float3x3 __x);
 196static simd_float4x3 SIMD_CFUNC simd_mul(float __a, simd_float4x3 __x);
 197static simd_float2x4 SIMD_CFUNC simd_mul(float __a, simd_float2x4 __x);
 198static simd_float3x4 SIMD_CFUNC simd_mul(float __a, simd_float3x4 __x);
 199static simd_float4x4 SIMD_CFUNC simd_mul(float __a, simd_float4x4 __x);
 200static simd_double2x2 SIMD_CFUNC simd_mul(double __a, simd_double2x2 __x);
 201static simd_double3x2 SIMD_CFUNC simd_mul(double __a, simd_double3x2 __x);
 202static simd_double4x2 SIMD_CFUNC simd_mul(double __a, simd_double4x2 __x);
 203static simd_double2x3 SIMD_CFUNC simd_mul(double __a, simd_double2x3 __x);
 204static simd_double3x3 SIMD_CFUNC simd_mul(double __a, simd_double3x3 __x);
 205static simd_double4x3 SIMD_CFUNC simd_mul(double __a, simd_double4x3 __x);
 206static simd_double2x4 SIMD_CFUNC simd_mul(double __a, simd_double2x4 __x);
 207static simd_double3x4 SIMD_CFUNC simd_mul(double __a, simd_double3x4 __x);
 208static simd_double4x4 SIMD_CFUNC simd_mul(double __a, simd_double4x4 __x);
 209
 210static simd_half2x2 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half2x2 __x, _Float16 __b, simd_half2x2 __y);
 211static simd_half3x2 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half3x2 __x, _Float16 __b, simd_half3x2 __y);
 212static simd_half4x2 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half4x2 __x, _Float16 __b, simd_half4x2 __y);
 213static simd_half2x3 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half2x3 __x, _Float16 __b, simd_half2x3 __y);
 214static simd_half3x3 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half3x3 __x, _Float16 __b, simd_half3x3 __y);
 215static simd_half4x3 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half4x3 __x, _Float16 __b, simd_half4x3 __y);
 216static simd_half2x4 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half2x4 __x, _Float16 __b, simd_half2x4 __y);
 217static simd_half3x4 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half3x4 __x, _Float16 __b, simd_half3x4 __y);
 218static simd_half4x4 SIMD_CFUNC simd_linear_combination(_Float16 __a, simd_half4x4 __x, _Float16 __b, simd_half4x4 __y);
 219static simd_float2x2 SIMD_CFUNC simd_linear_combination(float __a, simd_float2x2 __x, float __b, simd_float2x2 __y);
 220static simd_float3x2 SIMD_CFUNC simd_linear_combination(float __a, simd_float3x2 __x, float __b, simd_float3x2 __y);
 221static simd_float4x2 SIMD_CFUNC simd_linear_combination(float __a, simd_float4x2 __x, float __b, simd_float4x2 __y);
 222static simd_float2x3 SIMD_CFUNC simd_linear_combination(float __a, simd_float2x3 __x, float __b, simd_float2x3 __y);
 223static simd_float3x3 SIMD_CFUNC simd_linear_combination(float __a, simd_float3x3 __x, float __b, simd_float3x3 __y);
 224static simd_float4x3 SIMD_CFUNC simd_linear_combination(float __a, simd_float4x3 __x, float __b, simd_float4x3 __y);
 225static simd_float2x4 SIMD_CFUNC simd_linear_combination(float __a, simd_float2x4 __x, float __b, simd_float2x4 __y);
 226static simd_float3x4 SIMD_CFUNC simd_linear_combination(float __a, simd_float3x4 __x, float __b, simd_float3x4 __y);
 227static simd_float4x4 SIMD_CFUNC simd_linear_combination(float __a, simd_float4x4 __x, float __b, simd_float4x4 __y);
 228static simd_double2x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x2 __x, double __b, simd_double2x2 __y);
 229static simd_double3x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x2 __x, double __b, simd_double3x2 __y);
 230static simd_double4x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x2 __x, double __b, simd_double4x2 __y);
 231static simd_double2x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x3 __x, double __b, simd_double2x3 __y);
 232static simd_double3x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x3 __x, double __b, simd_double3x3 __y);
 233static simd_double4x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x3 __x, double __b, simd_double4x3 __y);
 234static simd_double2x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x4 __x, double __b, simd_double2x4 __y);
 235static simd_double3x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x4 __x, double __b, simd_double3x4 __y);
 236static simd_double4x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x4 __x, double __b, simd_double4x4 __y);
 237#define matrix_linear_combination simd_linear_combination
 238      
 239static simd_half2x2 SIMD_CFUNC simd_add(simd_half2x2  __x, simd_half2x2  __y);
 240static simd_half3x2 SIMD_CFUNC simd_add(simd_half3x2  __x, simd_half3x2  __y);
 241static simd_half4x2 SIMD_CFUNC simd_add(simd_half4x2  __x, simd_half4x2  __y);
 242static simd_half2x3 SIMD_CFUNC simd_add(simd_half2x3  __x, simd_half2x3  __y);
 243static simd_half3x3 SIMD_CFUNC simd_add(simd_half3x3  __x, simd_half3x3  __y);
 244static simd_half4x3 SIMD_CFUNC simd_add(simd_half4x3  __x, simd_half4x3  __y);
 245static simd_half2x4 SIMD_CFUNC simd_add(simd_half2x4  __x, simd_half2x4  __y);
 246static simd_half3x4 SIMD_CFUNC simd_add(simd_half3x4  __x, simd_half3x4  __y);
 247static simd_half4x4 SIMD_CFUNC simd_add(simd_half4x4  __x, simd_half4x4  __y);
 248static simd_float2x2 SIMD_CFUNC simd_add(simd_float2x2 __x, simd_float2x2 __y);
 249static simd_float3x2 SIMD_CFUNC simd_add(simd_float3x2 __x, simd_float3x2 __y);
 250static simd_float4x2 SIMD_CFUNC simd_add(simd_float4x2 __x, simd_float4x2 __y);
 251static simd_float2x3 SIMD_CFUNC simd_add(simd_float2x3 __x, simd_float2x3 __y);
 252static simd_float3x3 SIMD_CFUNC simd_add(simd_float3x3 __x, simd_float3x3 __y);
 253static simd_float4x3 SIMD_CFUNC simd_add(simd_float4x3 __x, simd_float4x3 __y);
 254static simd_float2x4 SIMD_CFUNC simd_add(simd_float2x4 __x, simd_float2x4 __y);
 255static simd_float3x4 SIMD_CFUNC simd_add(simd_float3x4 __x, simd_float3x4 __y);
 256static simd_float4x4 SIMD_CFUNC simd_add(simd_float4x4 __x, simd_float4x4 __y);
 257static simd_double2x2 SIMD_CFUNC simd_add(simd_double2x2 __x, simd_double2x2 __y);
 258static simd_double3x2 SIMD_CFUNC simd_add(simd_double3x2 __x, simd_double3x2 __y);
 259static simd_double4x2 SIMD_CFUNC simd_add(simd_double4x2 __x, simd_double4x2 __y);
 260static simd_double2x3 SIMD_CFUNC simd_add(simd_double2x3 __x, simd_double2x3 __y);
 261static simd_double3x3 SIMD_CFUNC simd_add(simd_double3x3 __x, simd_double3x3 __y);
 262static simd_double4x3 SIMD_CFUNC simd_add(simd_double4x3 __x, simd_double4x3 __y);
 263static simd_double2x4 SIMD_CFUNC simd_add(simd_double2x4 __x, simd_double2x4 __y);
 264static simd_double3x4 SIMD_CFUNC simd_add(simd_double3x4 __x, simd_double3x4 __y);
 265static simd_double4x4 SIMD_CFUNC simd_add(simd_double4x4 __x, simd_double4x4 __y);
 266#define matrix_add simd_add
 267      
 268static simd_half2x2 SIMD_CFUNC simd_sub(simd_half2x2  __x, simd_half2x2  __y);
 269static simd_half3x2 SIMD_CFUNC simd_sub(simd_half3x2  __x, simd_half3x2  __y);
 270static simd_half4x2 SIMD_CFUNC simd_sub(simd_half4x2  __x, simd_half4x2  __y);
 271static simd_half2x3 SIMD_CFUNC simd_sub(simd_half2x3  __x, simd_half2x3  __y);
 272static simd_half3x3 SIMD_CFUNC simd_sub(simd_half3x3  __x, simd_half3x3  __y);
 273static simd_half4x3 SIMD_CFUNC simd_sub(simd_half4x3  __x, simd_half4x3  __y);
 274static simd_half2x4 SIMD_CFUNC simd_sub(simd_half2x4  __x, simd_half2x4  __y);
 275static simd_half3x4 SIMD_CFUNC simd_sub(simd_half3x4  __x, simd_half3x4  __y);
 276static simd_half4x4 SIMD_CFUNC simd_sub(simd_half4x4  __x, simd_half4x4  __y);
 277static simd_float2x2 SIMD_CFUNC simd_sub(simd_float2x2 __x, simd_float2x2 __y);
 278static simd_float3x2 SIMD_CFUNC simd_sub(simd_float3x2 __x, simd_float3x2 __y);
 279static simd_float4x2 SIMD_CFUNC simd_sub(simd_float4x2 __x, simd_float4x2 __y);
 280static simd_float2x3 SIMD_CFUNC simd_sub(simd_float2x3 __x, simd_float2x3 __y);
 281static simd_float3x3 SIMD_CFUNC simd_sub(simd_float3x3 __x, simd_float3x3 __y);
 282static simd_float4x3 SIMD_CFUNC simd_sub(simd_float4x3 __x, simd_float4x3 __y);
 283static simd_float2x4 SIMD_CFUNC simd_sub(simd_float2x4 __x, simd_float2x4 __y);
 284static simd_float3x4 SIMD_CFUNC simd_sub(simd_float3x4 __x, simd_float3x4 __y);
 285static simd_float4x4 SIMD_CFUNC simd_sub(simd_float4x4 __x, simd_float4x4 __y);
 286static simd_double2x2 SIMD_CFUNC simd_sub(simd_double2x2 __x, simd_double2x2 __y);
 287static simd_double3x2 SIMD_CFUNC simd_sub(simd_double3x2 __x, simd_double3x2 __y);
 288static simd_double4x2 SIMD_CFUNC simd_sub(simd_double4x2 __x, simd_double4x2 __y);
 289static simd_double2x3 SIMD_CFUNC simd_sub(simd_double2x3 __x, simd_double2x3 __y);
 290static simd_double3x3 SIMD_CFUNC simd_sub(simd_double3x3 __x, simd_double3x3 __y);
 291static simd_double4x3 SIMD_CFUNC simd_sub(simd_double4x3 __x, simd_double4x3 __y);
 292static simd_double2x4 SIMD_CFUNC simd_sub(simd_double2x4 __x, simd_double2x4 __y);
 293static simd_double3x4 SIMD_CFUNC simd_sub(simd_double3x4 __x, simd_double3x4 __y);
 294static simd_double4x4 SIMD_CFUNC simd_sub(simd_double4x4 __x, simd_double4x4 __y);
 295#define matrix_sub simd_sub
 296
 297static simd_half2x2 SIMD_CFUNC simd_transpose(simd_half2x2  __x);
 298static simd_half2x3 SIMD_CFUNC simd_transpose(simd_half3x2  __x);
 299static simd_half2x4 SIMD_CFUNC simd_transpose(simd_half4x2  __x);
 300static simd_half3x2 SIMD_CFUNC simd_transpose(simd_half2x3  __x);
 301static simd_half3x3 SIMD_CFUNC simd_transpose(simd_half3x3  __x);
 302static simd_half3x4 SIMD_CFUNC simd_transpose(simd_half4x3  __x);
 303static simd_half4x2 SIMD_CFUNC simd_transpose(simd_half2x4  __x);
 304static simd_half4x3 SIMD_CFUNC simd_transpose(simd_half3x4  __x);
 305static simd_half4x4 SIMD_CFUNC simd_transpose(simd_half4x4  __x);
 306static simd_float2x2 SIMD_CFUNC simd_transpose(simd_float2x2 __x);
 307static simd_float2x3 SIMD_CFUNC simd_transpose(simd_float3x2 __x);
 308static simd_float2x4 SIMD_CFUNC simd_transpose(simd_float4x2 __x);
 309static simd_float3x2 SIMD_CFUNC simd_transpose(simd_float2x3 __x);
 310static simd_float3x3 SIMD_CFUNC simd_transpose(simd_float3x3 __x);
 311static simd_float3x4 SIMD_CFUNC simd_transpose(simd_float4x3 __x);
 312static simd_float4x2 SIMD_CFUNC simd_transpose(simd_float2x4 __x);
 313static simd_float4x3 SIMD_CFUNC simd_transpose(simd_float3x4 __x);
 314static simd_float4x4 SIMD_CFUNC simd_transpose(simd_float4x4 __x);
 315static simd_double2x2 SIMD_CFUNC simd_transpose(simd_double2x2 __x);
 316static simd_double2x3 SIMD_CFUNC simd_transpose(simd_double3x2 __x);
 317static simd_double2x4 SIMD_CFUNC simd_transpose(simd_double4x2 __x);
 318static simd_double3x2 SIMD_CFUNC simd_transpose(simd_double2x3 __x);
 319static simd_double3x3 SIMD_CFUNC simd_transpose(simd_double3x3 __x);
 320static simd_double3x4 SIMD_CFUNC simd_transpose(simd_double4x3 __x);
 321static simd_double4x2 SIMD_CFUNC simd_transpose(simd_double2x4 __x);
 322static simd_double4x3 SIMD_CFUNC simd_transpose(simd_double3x4 __x);
 323static simd_double4x4 SIMD_CFUNC simd_transpose(simd_double4x4 __x);
 324#define matrix_transpose simd_transpose
 325
 326static _Float16 SIMD_CFUNC simd_trace(simd_half2x2 __x);
 327static _Float16 SIMD_CFUNC simd_trace(simd_half3x3 __x);
 328static _Float16 SIMD_CFUNC simd_trace(simd_half4x4 __x);
 329static float SIMD_CFUNC simd_trace(simd_float2x2 __x);
 330static float SIMD_CFUNC simd_trace(simd_float3x3 __x);
 331static float SIMD_CFUNC simd_trace(simd_float4x4 __x);
 332static double SIMD_CFUNC simd_trace(simd_double2x2 __x);
 333static double SIMD_CFUNC simd_trace(simd_double3x3 __x);
 334static double SIMD_CFUNC simd_trace(simd_double4x4 __x);
 335#define matrix_trace simd_trace
 336
 337static _Float16 SIMD_CFUNC simd_determinant(simd_half2x2 __x);
 338static _Float16 SIMD_CFUNC simd_determinant(simd_half3x3 __x);
 339static _Float16 SIMD_CFUNC simd_determinant(simd_half4x4 __x);
 340static float SIMD_CFUNC simd_determinant(simd_float2x2 __x);
 341static float SIMD_CFUNC simd_determinant(simd_float3x3 __x);
 342static float SIMD_CFUNC simd_determinant(simd_float4x4 __x);
 343static double SIMD_CFUNC simd_determinant(simd_double2x2 __x);
 344static double SIMD_CFUNC simd_determinant(simd_double3x3 __x);
 345static double SIMD_CFUNC simd_determinant(simd_double4x4 __x);
 346#define matrix_determinant simd_determinant
 347
 348static simd_half2x2 SIMD_CFUNC simd_inverse(simd_half2x2 __x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
 349static simd_half3x3 SIMD_CFUNC simd_inverse(simd_half3x3 __x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
 350static simd_half4x4 SIMD_CFUNC simd_inverse(simd_half4x4 __x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0));
 351static simd_float2x2 SIMD_CFUNC simd_inverse(simd_float2x2 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 352static simd_float3x3 SIMD_CFUNC simd_inverse(simd_float3x3 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 353static simd_float4x4 SIMD_CFUNC simd_inverse(simd_float4x4 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 354static simd_double2x2 SIMD_CFUNC simd_inverse(simd_double2x2 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 355static simd_double3x3 SIMD_CFUNC simd_inverse(simd_double3x3 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 356static simd_double4x4 SIMD_CFUNC simd_inverse(simd_double4x4 __x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0));
 357#define matrix_invert simd_inverse
 358
 359static simd_half2 SIMD_CFUNC simd_mul(simd_half2x2 __x, simd_half2 __y);
 360static simd_half2 SIMD_CFUNC simd_mul(simd_half3x2 __x, simd_half3 __y);
 361static simd_half2 SIMD_CFUNC simd_mul(simd_half4x2 __x, simd_half4 __y);
 362static simd_half3 SIMD_CFUNC simd_mul(simd_half2x3 __x, simd_half2 __y);
 363static simd_half3 SIMD_CFUNC simd_mul(simd_half3x3 __x, simd_half3 __y);
 364static simd_half3 SIMD_CFUNC simd_mul(simd_half4x3 __x, simd_half4 __y);
 365static simd_half4 SIMD_CFUNC simd_mul(simd_half2x4 __x, simd_half2 __y);
 366static simd_half4 SIMD_CFUNC simd_mul(simd_half3x4 __x, simd_half3 __y);
 367static simd_half4 SIMD_CFUNC simd_mul(simd_half4x4 __x, simd_half4 __y);
 368static simd_float2 SIMD_CFUNC simd_mul(simd_float2x2 __x, simd_float2 __y);
 369static simd_float2 SIMD_CFUNC simd_mul(simd_float3x2 __x, simd_float3 __y);
 370static simd_float2 SIMD_CFUNC simd_mul(simd_float4x2 __x, simd_float4 __y);
 371static simd_float3 SIMD_CFUNC simd_mul(simd_float2x3 __x, simd_float2 __y);
 372static simd_float3 SIMD_CFUNC simd_mul(simd_float3x3 __x, simd_float3 __y);
 373static simd_float3 SIMD_CFUNC simd_mul(simd_float4x3 __x, simd_float4 __y);
 374static simd_float4 SIMD_CFUNC simd_mul(simd_float2x4 __x, simd_float2 __y);
 375static simd_float4 SIMD_CFUNC simd_mul(simd_float3x4 __x, simd_float3 __y);
 376static simd_float4 SIMD_CFUNC simd_mul(simd_float4x4 __x, simd_float4 __y);
 377static simd_double2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double2 __y);
 378static simd_double2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double3 __y);
 379static simd_double2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double4 __y);
 380static simd_double3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double2 __y);
 381static simd_double3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double3 __y);
 382static simd_double3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double4 __y);
 383static simd_double4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double2 __y);
 384static simd_double4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double3 __y);
 385static simd_double4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double4 __y);
 386static simd_half2 SIMD_CFUNC simd_mul(simd_half2 __x, simd_half2x2 __y);
 387static simd_half3 SIMD_CFUNC simd_mul(simd_half2 __x, simd_half3x2 __y);
 388static simd_half4 SIMD_CFUNC simd_mul(simd_half2 __x, simd_half4x2 __y);
 389static simd_half2 SIMD_CFUNC simd_mul(simd_half3 __x, simd_half2x3 __y);
 390static simd_half3 SIMD_CFUNC simd_mul(simd_half3 __x, simd_half3x3 __y);
 391static simd_half4 SIMD_CFUNC simd_mul(simd_half3 __x, simd_half4x3 __y);
 392static simd_half2 SIMD_CFUNC simd_mul(simd_half4 __x, simd_half2x4 __y);
 393static simd_half3 SIMD_CFUNC simd_mul(simd_half4 __x, simd_half3x4 __y);
 394static simd_half4 SIMD_CFUNC simd_mul(simd_half4 __x, simd_half4x4 __y);
 395static simd_float2 SIMD_CFUNC simd_mul(simd_float2 __x, simd_float2x2 __y);
 396static simd_float3 SIMD_CFUNC simd_mul(simd_float2 __x, simd_float3x2 __y);
 397static simd_float4 SIMD_CFUNC simd_mul(simd_float2 __x, simd_float4x2 __y);
 398static simd_float2 SIMD_CFUNC simd_mul(simd_float3 __x, simd_float2x3 __y);
 399static simd_float3 SIMD_CFUNC simd_mul(simd_float3 __x, simd_float3x3 __y);
 400static simd_float4 SIMD_CFUNC simd_mul(simd_float3 __x, simd_float4x3 __y);
 401static simd_float2 SIMD_CFUNC simd_mul(simd_float4 __x, simd_float2x4 __y);
 402static simd_float3 SIMD_CFUNC simd_mul(simd_float4 __x, simd_float3x4 __y);
 403static simd_float4 SIMD_CFUNC simd_mul(simd_float4 __x, simd_float4x4 __y);
 404static simd_double2 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double2x2 __y);
 405static simd_double3 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double3x2 __y);
 406static simd_double4 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double4x2 __y);
 407static simd_double2 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double2x3 __y);
 408static simd_double3 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double3x3 __y);
 409static simd_double4 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double4x3 __y);
 410static simd_double2 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double2x4 __y);
 411static simd_double3 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double3x4 __y);
 412static simd_double4 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double4x4 __y);
 413static simd_half2x2 SIMD_CFUNC simd_mul(simd_half2x2 __x, simd_half2x2 __y);
 414static simd_half3x2 SIMD_CFUNC simd_mul(simd_half2x2 __x, simd_half3x2 __y);
 415static simd_half4x2 SIMD_CFUNC simd_mul(simd_half2x2 __x, simd_half4x2 __y);
 416static simd_half2x3 SIMD_CFUNC simd_mul(simd_half2x3 __x, simd_half2x2 __y);
 417static simd_half3x3 SIMD_CFUNC simd_mul(simd_half2x3 __x, simd_half3x2 __y);
 418static simd_half4x3 SIMD_CFUNC simd_mul(simd_half2x3 __x, simd_half4x2 __y);
 419static simd_half2x4 SIMD_CFUNC simd_mul(simd_half2x4 __x, simd_half2x2 __y);
 420static simd_half3x4 SIMD_CFUNC simd_mul(simd_half2x4 __x, simd_half3x2 __y);
 421static simd_half4x4 SIMD_CFUNC simd_mul(simd_half2x4 __x, simd_half4x2 __y);
 422static simd_float2x2 SIMD_CFUNC simd_mul(simd_float2x2 __x, simd_float2x2 __y);
 423static simd_float3x2 SIMD_CFUNC simd_mul(simd_float2x2 __x, simd_float3x2 __y);
 424static simd_float4x2 SIMD_CFUNC simd_mul(simd_float2x2 __x, simd_float4x2 __y);
 425static simd_float2x3 SIMD_CFUNC simd_mul(simd_float2x3 __x, simd_float2x2 __y);
 426static simd_float3x3 SIMD_CFUNC simd_mul(simd_float2x3 __x, simd_float3x2 __y);
 427static simd_float4x3 SIMD_CFUNC simd_mul(simd_float2x3 __x, simd_float4x2 __y);
 428static simd_float2x4 SIMD_CFUNC simd_mul(simd_float2x4 __x, simd_float2x2 __y);
 429static simd_float3x4 SIMD_CFUNC simd_mul(simd_float2x4 __x, simd_float3x2 __y);
 430static simd_float4x4 SIMD_CFUNC simd_mul(simd_float2x4 __x, simd_float4x2 __y);
 431static simd_double2x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double2x2 __y);
 432static simd_double3x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double3x2 __y);
 433static simd_double4x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double4x2 __y);
 434static simd_double2x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double2x2 __y);
 435static simd_double3x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double3x2 __y);
 436static simd_double4x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double4x2 __y);
 437static simd_double2x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double2x2 __y);
 438static simd_double3x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double3x2 __y);
 439static simd_double4x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double4x2 __y);
 440static simd_half2x2 SIMD_CFUNC simd_mul(simd_half3x2 __x, simd_half2x3 __y);
 441static simd_half3x2 SIMD_CFUNC simd_mul(simd_half3x2 __x, simd_half3x3 __y);
 442static simd_half4x2 SIMD_CFUNC simd_mul(simd_half3x2 __x, simd_half4x3 __y);
 443static simd_half2x3 SIMD_CFUNC simd_mul(simd_half3x3 __x, simd_half2x3 __y);
 444static simd_half3x3 SIMD_CFUNC simd_mul(simd_half3x3 __x, simd_half3x3 __y);
 445static simd_half4x3 SIMD_CFUNC simd_mul(simd_half3x3 __x, simd_half4x3 __y);
 446static simd_half2x4 SIMD_CFUNC simd_mul(simd_half3x4 __x, simd_half2x3 __y);
 447static simd_half3x4 SIMD_CFUNC simd_mul(simd_half3x4 __x, simd_half3x3 __y);
 448static simd_half4x4 SIMD_CFUNC simd_mul(simd_half3x4 __x, simd_half4x3 __y);
 449static simd_float2x2 SIMD_CFUNC simd_mul(simd_float3x2 __x, simd_float2x3 __y);
 450static simd_float3x2 SIMD_CFUNC simd_mul(simd_float3x2 __x, simd_float3x3 __y);
 451static simd_float4x2 SIMD_CFUNC simd_mul(simd_float3x2 __x, simd_float4x3 __y);
 452static simd_float2x3 SIMD_CFUNC simd_mul(simd_float3x3 __x, simd_float2x3 __y);
 453static simd_float3x3 SIMD_CFUNC simd_mul(simd_float3x3 __x, simd_float3x3 __y);
 454static simd_float4x3 SIMD_CFUNC simd_mul(simd_float3x3 __x, simd_float4x3 __y);
 455static simd_float2x4 SIMD_CFUNC simd_mul(simd_float3x4 __x, simd_float2x3 __y);
 456static simd_float3x4 SIMD_CFUNC simd_mul(simd_float3x4 __x, simd_float3x3 __y);
 457static simd_float4x4 SIMD_CFUNC simd_mul(simd_float3x4 __x, simd_float4x3 __y);
 458static simd_double2x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double2x3 __y);
 459static simd_double3x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double3x3 __y);
 460static simd_double4x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double4x3 __y);
 461static simd_double2x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double2x3 __y);
 462static simd_double3x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double3x3 __y);
 463static simd_double4x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double4x3 __y);
 464static simd_double2x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double2x3 __y);
 465static simd_double3x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double3x3 __y);
 466static simd_double4x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double4x3 __y);
 467static simd_half2x2 SIMD_CFUNC simd_mul(simd_half4x2 __x, simd_half2x4 __y);
 468static simd_half3x2 SIMD_CFUNC simd_mul(simd_half4x2 __x, simd_half3x4 __y);
 469static simd_half4x2 SIMD_CFUNC simd_mul(simd_half4x2 __x, simd_half4x4 __y);
 470static simd_half2x3 SIMD_CFUNC simd_mul(simd_half4x3 __x, simd_half2x4 __y);
 471static simd_half3x3 SIMD_CFUNC simd_mul(simd_half4x3 __x, simd_half3x4 __y);
 472static simd_half4x3 SIMD_CFUNC simd_mul(simd_half4x3 __x, simd_half4x4 __y);
 473static simd_half2x4 SIMD_CFUNC simd_mul(simd_half4x4 __x, simd_half2x4 __y);
 474static simd_half3x4 SIMD_CFUNC simd_mul(simd_half4x4 __x, simd_half3x4 __y);
 475static simd_half4x4 SIMD_CFUNC simd_mul(simd_half4x4 __x, simd_half4x4 __y);
 476static simd_float2x2 SIMD_CFUNC simd_mul(simd_float4x2 __x, simd_float2x4 __y);
 477static simd_float3x2 SIMD_CFUNC simd_mul(simd_float4x2 __x, simd_float3x4 __y);
 478static simd_float4x2 SIMD_CFUNC simd_mul(simd_float4x2 __x, simd_float4x4 __y);
 479static simd_float2x3 SIMD_CFUNC simd_mul(simd_float4x3 __x, simd_float2x4 __y);
 480static simd_float3x3 SIMD_CFUNC simd_mul(simd_float4x3 __x, simd_float3x4 __y);
 481static simd_float4x3 SIMD_CFUNC simd_mul(simd_float4x3 __x, simd_float4x4 __y);
 482static simd_float2x4 SIMD_CFUNC simd_mul(simd_float4x4 __x, simd_float2x4 __y);
 483static simd_float3x4 SIMD_CFUNC simd_mul(simd_float4x4 __x, simd_float3x4 __y);
 484static simd_float4x4 SIMD_CFUNC simd_mul(simd_float4x4 __x, simd_float4x4 __y);
 485static simd_double2x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double2x4 __y);
 486static simd_double3x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double3x4 __y);
 487static simd_double4x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double4x4 __y);
 488static simd_double2x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double2x4 __y);
 489static simd_double3x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double3x4 __y);
 490static simd_double4x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double4x4 __y);
 491static simd_double2x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double2x4 __y);
 492static simd_double3x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double3x4 __y);
 493static simd_double4x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double4x4 __y);
 494    
 495static simd_bool SIMD_CFUNC simd_equal(simd_half2x2 __x, simd_half2x2 __y);
 496static simd_bool SIMD_CFUNC simd_equal(simd_half2x3 __x, simd_half2x3 __y);
 497static simd_bool SIMD_CFUNC simd_equal(simd_half2x4 __x, simd_half2x4 __y);
 498static simd_bool SIMD_CFUNC simd_equal(simd_half3x2 __x, simd_half3x2 __y);
 499static simd_bool SIMD_CFUNC simd_equal(simd_half3x3 __x, simd_half3x3 __y);
 500static simd_bool SIMD_CFUNC simd_equal(simd_half3x4 __x, simd_half3x4 __y);
 501static simd_bool SIMD_CFUNC simd_equal(simd_half4x2 __x, simd_half4x2 __y);
 502static simd_bool SIMD_CFUNC simd_equal(simd_half4x3 __x, simd_half4x3 __y);
 503static simd_bool SIMD_CFUNC simd_equal(simd_half4x4 __x, simd_half4x4 __y);
 504static simd_bool SIMD_CFUNC simd_equal(simd_float2x2 __x, simd_float2x2 __y);
 505static simd_bool SIMD_CFUNC simd_equal(simd_float2x3 __x, simd_float2x3 __y);
 506static simd_bool SIMD_CFUNC simd_equal(simd_float2x4 __x, simd_float2x4 __y);
 507static simd_bool SIMD_CFUNC simd_equal(simd_float3x2 __x, simd_float3x2 __y);
 508static simd_bool SIMD_CFUNC simd_equal(simd_float3x3 __x, simd_float3x3 __y);
 509static simd_bool SIMD_CFUNC simd_equal(simd_float3x4 __x, simd_float3x4 __y);
 510static simd_bool SIMD_CFUNC simd_equal(simd_float4x2 __x, simd_float4x2 __y);
 511static simd_bool SIMD_CFUNC simd_equal(simd_float4x3 __x, simd_float4x3 __y);
 512static simd_bool SIMD_CFUNC simd_equal(simd_float4x4 __x, simd_float4x4 __y);
 513static simd_bool SIMD_CFUNC simd_equal(simd_double2x2 __x, simd_double2x2 __y);
 514static simd_bool SIMD_CFUNC simd_equal(simd_double2x3 __x, simd_double2x3 __y);
 515static simd_bool SIMD_CFUNC simd_equal(simd_double2x4 __x, simd_double2x4 __y);
 516static simd_bool SIMD_CFUNC simd_equal(simd_double3x2 __x, simd_double3x2 __y);
 517static simd_bool SIMD_CFUNC simd_equal(simd_double3x3 __x, simd_double3x3 __y);
 518static simd_bool SIMD_CFUNC simd_equal(simd_double3x4 __x, simd_double3x4 __y);
 519static simd_bool SIMD_CFUNC simd_equal(simd_double4x2 __x, simd_double4x2 __y);
 520static simd_bool SIMD_CFUNC simd_equal(simd_double4x3 __x, simd_double4x3 __y);
 521static simd_bool SIMD_CFUNC simd_equal(simd_double4x4 __x, simd_double4x4 __y);
 522#define matrix_equal simd_equal
 523      
 524static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x2 __x, simd_half2x2 __y, _Float16 __tol);
 525static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x3 __x, simd_half2x3 __y, _Float16 __tol);
 526static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x4 __x, simd_half2x4 __y, _Float16 __tol);
 527static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x2 __x, simd_half3x2 __y, _Float16 __tol);
 528static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x3 __x, simd_half3x3 __y, _Float16 __tol);
 529static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x4 __x, simd_half3x4 __y, _Float16 __tol);
 530static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x2 __x, simd_half4x2 __y, _Float16 __tol);
 531static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x3 __x, simd_half4x3 __y, _Float16 __tol);
 532static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x4 __x, simd_half4x4 __y, _Float16 __tol);
 533static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x2 __x, simd_float2x2 __y, float __tol);
 534static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x3 __x, simd_float2x3 __y, float __tol);
 535static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x4 __x, simd_float2x4 __y, float __tol);
 536static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x2 __x, simd_float3x2 __y, float __tol);
 537static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x3 __x, simd_float3x3 __y, float __tol);
 538static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x4 __x, simd_float3x4 __y, float __tol);
 539static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x2 __x, simd_float4x2 __y, float __tol);
 540static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x3 __x, simd_float4x3 __y, float __tol);
 541static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x4 __x, simd_float4x4 __y, float __tol);
 542static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x2 __x, simd_double2x2 __y, double __tol);
 543static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x3 __x, simd_double2x3 __y, double __tol);
 544static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x4 __x, simd_double2x4 __y, double __tol);
 545static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x2 __x, simd_double3x2 __y, double __tol);
 546static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x3 __x, simd_double3x3 __y, double __tol);
 547static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x4 __x, simd_double3x4 __y, double __tol);
 548static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x2 __x, simd_double4x2 __y, double __tol);
 549static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x3 __x, simd_double4x3 __y, double __tol);
 550static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x4 __x, simd_double4x4 __y, double __tol);
 551#define matrix_almost_equal_elements simd_almost_equal_elements
 552      
 553static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x2 __x, simd_half2x2 __y, _Float16 __tol);
 554static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x3 __x, simd_half2x3 __y, _Float16 __tol);
 555static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x4 __x, simd_half2x4 __y, _Float16 __tol);
 556static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x2 __x, simd_half3x2 __y, _Float16 __tol);
 557static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x3 __x, simd_half3x3 __y, _Float16 __tol);
 558static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x4 __x, simd_half3x4 __y, _Float16 __tol);
 559static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x2 __x, simd_half4x2 __y, _Float16 __tol);
 560static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x3 __x, simd_half4x3 __y, _Float16 __tol);
 561static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x4 __x, simd_half4x4 __y, _Float16 __tol);
 562static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x2 __x, simd_float2x2 __y, float __tol);
 563static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x3 __x, simd_float2x3 __y, float __tol);
 564static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x4 __x, simd_float2x4 __y, float __tol);
 565static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x2 __x, simd_float3x2 __y, float __tol);
 566static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x3 __x, simd_float3x3 __y, float __tol);
 567static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x4 __x, simd_float3x4 __y, float __tol);
 568static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x2 __x, simd_float4x2 __y, float __tol);
 569static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x3 __x, simd_float4x3 __y, float __tol);
 570static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x4 __x, simd_float4x4 __y, float __tol);
 571static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x2 __x, simd_double2x2 __y, double __tol);
 572static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x3 __x, simd_double2x3 __y, double __tol);
 573static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x4 __x, simd_double2x4 __y, double __tol);
 574static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x2 __x, simd_double3x2 __y, double __tol);
 575static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x3 __x, simd_double3x3 __y, double __tol);
 576static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x4 __x, simd_double3x4 __y, double __tol);
 577static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x2 __x, simd_double4x2 __y, double __tol);
 578static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x3 __x, simd_double4x3 __y, double __tol);
 579static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x4 __x, simd_double4x4 __y, double __tol);
 580#define matrix_almost_equal_elements_relative simd_almost_equal_elements_relative
 581
 582#ifdef __cplusplus
 583} /* extern "C" */
 584
 585namespace simd {
 586  static SIMD_CPPFUNC half2x2 operator+(const half2x2 x, const half2x2 y) { return half2x2(::simd_linear_combination(1, x, 1, y)); }
 587  static SIMD_CPPFUNC half2x3 operator+(const half2x3 x, const half2x3 y) { return half2x3(::simd_linear_combination(1, x, 1, y)); }
 588  static SIMD_CPPFUNC half2x4 operator+(const half2x4 x, const half2x4 y) { return half2x4(::simd_linear_combination(1, x, 1, y)); }
 589  static SIMD_CPPFUNC half3x2 operator+(const half3x2 x, const half3x2 y) { return half3x2(::simd_linear_combination(1, x, 1, y)); }
 590  static SIMD_CPPFUNC half3x3 operator+(const half3x3 x, const half3x3 y) { return half3x3(::simd_linear_combination(1, x, 1, y)); }
 591  static SIMD_CPPFUNC half3x4 operator+(const half3x4 x, const half3x4 y) { return half3x4(::simd_linear_combination(1, x, 1, y)); }
 592  static SIMD_CPPFUNC half4x2 operator+(const half4x2 x, const half4x2 y) { return half4x2(::simd_linear_combination(1, x, 1, y)); }
 593  static SIMD_CPPFUNC half4x3 operator+(const half4x3 x, const half4x3 y) { return half4x3(::simd_linear_combination(1, x, 1, y)); }
 594  static SIMD_CPPFUNC half4x4 operator+(const half4x4 x, const half4x4 y) { return half4x4(::simd_linear_combination(1, x, 1, y)); }
 595
 596  static SIMD_CPPFUNC half2x2 operator-(const half2x2 x, const half2x2 y) { return half2x2(::simd_linear_combination(1, x, -1, y)); }
 597  static SIMD_CPPFUNC half2x3 operator-(const half2x3 x, const half2x3 y) { return half2x3(::simd_linear_combination(1, x, -1, y)); }
 598  static SIMD_CPPFUNC half2x4 operator-(const half2x4 x, const half2x4 y) { return half2x4(::simd_linear_combination(1, x, -1, y)); }
 599  static SIMD_CPPFUNC half3x2 operator-(const half3x2 x, const half3x2 y) { return half3x2(::simd_linear_combination(1, x, -1, y)); }
 600  static SIMD_CPPFUNC half3x3 operator-(const half3x3 x, const half3x3 y) { return half3x3(::simd_linear_combination(1, x, -1, y)); }
 601  static SIMD_CPPFUNC half3x4 operator-(const half3x4 x, const half3x4 y) { return half3x4(::simd_linear_combination(1, x, -1, y)); }
 602  static SIMD_CPPFUNC half4x2 operator-(const half4x2 x, const half4x2 y) { return half4x2(::simd_linear_combination(1, x, -1, y)); }
 603  static SIMD_CPPFUNC half4x3 operator-(const half4x3 x, const half4x3 y) { return half4x3(::simd_linear_combination(1, x, -1, y)); }
 604  static SIMD_CPPFUNC half4x4 operator-(const half4x4 x, const half4x4 y) { return half4x4(::simd_linear_combination(1, x, -1, y)); }
 605
 606  static SIMD_INLINE SIMD_NODEBUG half2x2& operator+=(half2x2& x, const half2x2 y) { x = x + y; return x; }
 607  static SIMD_INLINE SIMD_NODEBUG half2x3& operator+=(half2x3& x, const half2x3 y) { x = x + y; return x; }
 608  static SIMD_INLINE SIMD_NODEBUG half2x4& operator+=(half2x4& x, const half2x4 y) { x = x + y; return x; }
 609  static SIMD_INLINE SIMD_NODEBUG half3x2& operator+=(half3x2& x, const half3x2 y) { x = x + y; return x; }
 610  static SIMD_INLINE SIMD_NODEBUG half3x3& operator+=(half3x3& x, const half3x3 y) { x = x + y; return x; }
 611  static SIMD_INLINE SIMD_NODEBUG half3x4& operator+=(half3x4& x, const half3x4 y) { x = x + y; return x; }
 612  static SIMD_INLINE SIMD_NODEBUG half4x2& operator+=(half4x2& x, const half4x2 y) { x = x + y; return x; }
 613  static SIMD_INLINE SIMD_NODEBUG half4x3& operator+=(half4x3& x, const half4x3 y) { x = x + y; return x; }
 614  static SIMD_INLINE SIMD_NODEBUG half4x4& operator+=(half4x4& x, const half4x4 y) { x = x + y; return x; }
 615
 616  static SIMD_INLINE SIMD_NODEBUG half2x2& operator-=(half2x2& x, const half2x2 y) { x = x - y; return x; }
 617  static SIMD_INLINE SIMD_NODEBUG half2x3& operator-=(half2x3& x, const half2x3 y) { x = x - y; return x; }
 618  static SIMD_INLINE SIMD_NODEBUG half2x4& operator-=(half2x4& x, const half2x4 y) { x = x - y; return x; }
 619  static SIMD_INLINE SIMD_NODEBUG half3x2& operator-=(half3x2& x, const half3x2 y) { x = x - y; return x; }
 620  static SIMD_INLINE SIMD_NODEBUG half3x3& operator-=(half3x3& x, const half3x3 y) { x = x - y; return x; }
 621  static SIMD_INLINE SIMD_NODEBUG half3x4& operator-=(half3x4& x, const half3x4 y) { x = x - y; return x; }
 622  static SIMD_INLINE SIMD_NODEBUG half4x2& operator-=(half4x2& x, const half4x2 y) { x = x - y; return x; }
 623  static SIMD_INLINE SIMD_NODEBUG half4x3& operator-=(half4x3& x, const half4x3 y) { x = x - y; return x; }
 624  static SIMD_INLINE SIMD_NODEBUG half4x4& operator-=(half4x4& x, const half4x4 y) { x = x - y; return x; }
 625
 626  static SIMD_CPPFUNC half2x2 transpose(const half2x2 x) { return ::simd_transpose(x); }
 627  static SIMD_CPPFUNC half2x3 transpose(const half3x2 x) { return ::simd_transpose(x); }
 628  static SIMD_CPPFUNC half2x4 transpose(const half4x2 x) { return ::simd_transpose(x); }
 629  static SIMD_CPPFUNC half3x2 transpose(const half2x3 x) { return ::simd_transpose(x); }
 630  static SIMD_CPPFUNC half3x3 transpose(const half3x3 x) { return ::simd_transpose(x); }
 631  static SIMD_CPPFUNC half3x4 transpose(const half4x3 x) { return ::simd_transpose(x); }
 632  static SIMD_CPPFUNC half4x2 transpose(const half2x4 x) { return ::simd_transpose(x); }
 633  static SIMD_CPPFUNC half4x3 transpose(const half3x4 x) { return ::simd_transpose(x); }
 634  static SIMD_CPPFUNC half4x4 transpose(const half4x4 x) { return ::simd_transpose(x); }
 635
 636  static SIMD_CPPFUNC _Float16 trace(const half2x2 x) { return ::simd_trace(x); }
 637  static SIMD_CPPFUNC _Float16 trace(const half3x3 x) { return ::simd_trace(x); }
 638  static SIMD_CPPFUNC _Float16 trace(const half4x4 x) { return ::simd_trace(x); }
 639
 640  static SIMD_CPPFUNC _Float16 determinant(const half2x2 x) { return ::simd_determinant(x); }
 641  static SIMD_CPPFUNC _Float16 determinant(const half3x3 x) { return ::simd_determinant(x); }
 642  static SIMD_CPPFUNC _Float16 determinant(const half4x4 x) { return ::simd_determinant(x); }
 643
 644#pragma clang diagnostic push
 645#pragma clang diagnostic ignored "-Wgcc-compat"
 646  static SIMD_CPPFUNC half2x2 inverse(const half2x2 x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0)) { return ::simd_inverse(x); }
 647  static SIMD_CPPFUNC half3x3 inverse(const half3x3 x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0)) { return ::simd_inverse(x); }
 648  static SIMD_CPPFUNC half4x4 inverse(const half4x4 x) __API_AVAILABLE(macos(15.0), ios(18.0), watchos(11.0), tvos(18.0)) { return ::simd_inverse(x); }
 649#pragma clang diagnostic pop
 650
 651  static SIMD_CPPFUNC half2x2 operator*(const _Float16 a, const half2x2 x) { return ::simd_mul(a, x); }
 652  static SIMD_CPPFUNC half2x3 operator*(const _Float16 a, const half2x3 x) { return ::simd_mul(a, x); }
 653  static SIMD_CPPFUNC half2x4 operator*(const _Float16 a, const half2x4 x) { return ::simd_mul(a, x); }
 654  static SIMD_CPPFUNC half3x2 operator*(const _Float16 a, const half3x2 x) { return ::simd_mul(a, x); }
 655  static SIMD_CPPFUNC half3x3 operator*(const _Float16 a, const half3x3 x) { return ::simd_mul(a, x); }
 656  static SIMD_CPPFUNC half3x4 operator*(const _Float16 a, const half3x4 x) { return ::simd_mul(a, x); }
 657  static SIMD_CPPFUNC half4x2 operator*(const _Float16 a, const half4x2 x) { return ::simd_mul(a, x); }
 658  static SIMD_CPPFUNC half4x3 operator*(const _Float16 a, const half4x3 x) { return ::simd_mul(a, x); }
 659  static SIMD_CPPFUNC half4x4 operator*(const _Float16 a, const half4x4 x) { return ::simd_mul(a, x); }
 660  static SIMD_CPPFUNC half2x2 operator*(const half2x2 x, const _Float16 a) { return ::simd_mul(a, x); }
 661  static SIMD_CPPFUNC half2x3 operator*(const half2x3 x, const _Float16 a) { return ::simd_mul(a, x); }
 662  static SIMD_CPPFUNC half2x4 operator*(const half2x4 x, const _Float16 a) { return ::simd_mul(a, x); }
 663  static SIMD_CPPFUNC half3x2 operator*(const half3x2 x, const _Float16 a) { return ::simd_mul(a, x); }
 664  static SIMD_CPPFUNC half3x3 operator*(const half3x3 x, const _Float16 a) { return ::simd_mul(a, x); }
 665  static SIMD_CPPFUNC half3x4 operator*(const half3x4 x, const _Float16 a) { return ::simd_mul(a, x); }
 666  static SIMD_CPPFUNC half4x2 operator*(const half4x2 x, const _Float16 a) { return ::simd_mul(a, x); }
 667  static SIMD_CPPFUNC half4x3 operator*(const half4x3 x, const _Float16 a) { return ::simd_mul(a, x); }
 668  static SIMD_CPPFUNC half4x4 operator*(const half4x4 x, const _Float16 a) { return ::simd_mul(a, x); }
 669  static SIMD_INLINE SIMD_NODEBUG half2x2& operator*=(half2x2& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 670  static SIMD_INLINE SIMD_NODEBUG half2x3& operator*=(half2x3& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 671  static SIMD_INLINE SIMD_NODEBUG half2x4& operator*=(half2x4& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 672  static SIMD_INLINE SIMD_NODEBUG half3x2& operator*=(half3x2& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 673  static SIMD_INLINE SIMD_NODEBUG half3x3& operator*=(half3x3& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 674  static SIMD_INLINE SIMD_NODEBUG half3x4& operator*=(half3x4& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 675  static SIMD_INLINE SIMD_NODEBUG half4x2& operator*=(half4x2& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 676  static SIMD_INLINE SIMD_NODEBUG half4x3& operator*=(half4x3& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 677  static SIMD_INLINE SIMD_NODEBUG half4x4& operator*=(half4x4& x, const _Float16 a) { x = ::simd_mul(a, x); return x; }
 678
 679  static SIMD_CPPFUNC half2 operator*(const half2 x, const half2x2 y) { return ::simd_mul(x, y); }
 680  static SIMD_CPPFUNC half3 operator*(const half2 x, const half3x2 y) { return ::simd_mul(x, y); }
 681  static SIMD_CPPFUNC half4 operator*(const half2 x, const half4x2 y) { return ::simd_mul(x, y); }
 682  static SIMD_CPPFUNC half2 operator*(const half3 x, const half2x3 y) { return ::simd_mul(x, y); }
 683  static SIMD_CPPFUNC half3 operator*(const half3 x, const half3x3 y) { return ::simd_mul(x, y); }
 684  static SIMD_CPPFUNC half4 operator*(const half3 x, const half4x3 y) { return ::simd_mul(x, y); }
 685  static SIMD_CPPFUNC half2 operator*(const half4 x, const half2x4 y) { return ::simd_mul(x, y); }
 686  static SIMD_CPPFUNC half3 operator*(const half4 x, const half3x4 y) { return ::simd_mul(x, y); }
 687  static SIMD_CPPFUNC half4 operator*(const half4 x, const half4x4 y) { return ::simd_mul(x, y); }
 688  static SIMD_CPPFUNC half2 operator*(const half2x2 x, const half2 y) { return ::simd_mul(x, y); }
 689  static SIMD_CPPFUNC half2 operator*(const half3x2 x, const half3 y) { return ::simd_mul(x, y); }
 690  static SIMD_CPPFUNC half2 operator*(const half4x2 x, const half4 y) { return ::simd_mul(x, y); }
 691  static SIMD_CPPFUNC half3 operator*(const half2x3 x, const half2 y) { return ::simd_mul(x, y); }
 692  static SIMD_CPPFUNC half3 operator*(const half3x3 x, const half3 y) { return ::simd_mul(x, y); }
 693  static SIMD_CPPFUNC half3 operator*(const half4x3 x, const half4 y) { return ::simd_mul(x, y); }
 694  static SIMD_CPPFUNC half4 operator*(const half2x4 x, const half2 y) { return ::simd_mul(x, y); }
 695  static SIMD_CPPFUNC half4 operator*(const half3x4 x, const half3 y) { return ::simd_mul(x, y); }
 696  static SIMD_CPPFUNC half4 operator*(const half4x4 x, const half4 y) { return ::simd_mul(x, y); }
 697  static SIMD_INLINE SIMD_NODEBUG half2& operator*=(half2& x, const half2x2 y) { x = ::simd_mul(x, y); return x; }
 698  static SIMD_INLINE SIMD_NODEBUG half3& operator*=(half3& x, const half3x3 y) { x = ::simd_mul(x, y); return x; }
 699  static SIMD_INLINE SIMD_NODEBUG half4& operator*=(half4& x, const half4x4 y) { x = ::simd_mul(x, y); return x; }
 700
 701  static SIMD_CPPFUNC half2x2 operator*(const half2x2 x, const half2x2 y) { return ::simd_mul(x, y); }
 702  static SIMD_CPPFUNC half3x2 operator*(const half2x2 x, const half3x2 y) { return ::simd_mul(x, y); }
 703  static SIMD_CPPFUNC half4x2 operator*(const half2x2 x, const half4x2 y) { return ::simd_mul(x, y); }
 704  static SIMD_CPPFUNC half2x3 operator*(const half2x3 x, const half2x2 y) { return ::simd_mul(x, y); }
 705  static SIMD_CPPFUNC half3x3 operator*(const half2x3 x, const half3x2 y) { return ::simd_mul(x, y); }
 706  static SIMD_CPPFUNC half4x3 operator*(const half2x3 x, const half4x2 y) { return ::simd_mul(x, y); }
 707  static SIMD_CPPFUNC half2x4 operator*(const half2x4 x, const half2x2 y) { return ::simd_mul(x, y); }
 708  static SIMD_CPPFUNC half3x4 operator*(const half2x4 x, const half3x2 y) { return ::simd_mul(x, y); }
 709  static SIMD_CPPFUNC half4x4 operator*(const half2x4 x, const half4x2 y) { return ::simd_mul(x, y); }
 710  static SIMD_CPPFUNC half2x2 operator*(const half3x2 x, const half2x3 y) { return ::simd_mul(x, y); }
 711  static SIMD_CPPFUNC half3x2 operator*(const half3x2 x, const half3x3 y) { return ::simd_mul(x, y); }
 712  static SIMD_CPPFUNC half4x2 operator*(const half3x2 x, const half4x3 y) { return ::simd_mul(x, y); }
 713  static SIMD_CPPFUNC half2x3 operator*(const half3x3 x, const half2x3 y) { return ::simd_mul(x, y); }
 714  static SIMD_CPPFUNC half3x3 operator*(const half3x3 x, const half3x3 y) { return ::simd_mul(x, y); }
 715  static SIMD_CPPFUNC half4x3 operator*(const half3x3 x, const half4x3 y) { return ::simd_mul(x, y); }
 716  static SIMD_CPPFUNC half2x4 operator*(const half3x4 x, const half2x3 y) { return ::simd_mul(x, y); }
 717  static SIMD_CPPFUNC half3x4 operator*(const half3x4 x, const half3x3 y) { return ::simd_mul(x, y); }
 718  static SIMD_CPPFUNC half4x4 operator*(const half3x4 x, const half4x3 y) { return ::simd_mul(x, y); }
 719  static SIMD_CPPFUNC half2x2 operator*(const half4x2 x, const half2x4 y) { return ::simd_mul(x, y); }
 720  static SIMD_CPPFUNC half3x2 operator*(const half4x2 x, const half3x4 y) { return ::simd_mul(x, y); }
 721  static SIMD_CPPFUNC half4x2 operator*(const half4x2 x, const half4x4 y) { return ::simd_mul(x, y); }
 722  static SIMD_CPPFUNC half2x3 operator*(const half4x3 x, const half2x4 y) { return ::simd_mul(x, y); }
 723  static SIMD_CPPFUNC half3x3 operator*(const half4x3 x, const half3x4 y) { return ::simd_mul(x, y); }
 724  static SIMD_CPPFUNC half4x3 operator*(const half4x3 x, const half4x4 y) { return ::simd_mul(x, y); }
 725  static SIMD_CPPFUNC half2x4 operator*(const half4x4 x, const half2x4 y) { return ::simd_mul(x, y); }
 726  static SIMD_CPPFUNC half3x4 operator*(const half4x4 x, const half3x4 y) { return ::simd_mul(x, y); }
 727  static SIMD_CPPFUNC half4x4 operator*(const half4x4 x, const half4x4 y) { return ::simd_mul(x, y); }
 728  static SIMD_INLINE SIMD_NODEBUG half2x2& operator*=(half2x2& x, const half2x2 y) { x = ::simd_mul(x, y); return x; }
 729  static SIMD_INLINE SIMD_NODEBUG half2x3& operator*=(half2x3& x, const half2x2 y) { x = ::simd_mul(x, y); return x; }
 730  static SIMD_INLINE SIMD_NODEBUG half2x4& operator*=(half2x4& x, const half2x2 y) { x = ::simd_mul(x, y); return x; }
 731  static SIMD_INLINE SIMD_NODEBUG half3x2& operator*=(half3x2& x, const half3x3 y) { x = ::simd_mul(x, y); return x; }
 732  static SIMD_INLINE SIMD_NODEBUG half3x3& operator*=(half3x3& x, const half3x3 y) { x = ::simd_mul(x, y); return x; }
 733  static SIMD_INLINE SIMD_NODEBUG half3x4& operator*=(half3x4& x, const half3x3 y) { x = ::simd_mul(x, y); return x; }
 734  static SIMD_INLINE SIMD_NODEBUG half4x2& operator*=(half4x2& x, const half4x4 y) { x = ::simd_mul(x, y); return x; }
 735  static SIMD_INLINE SIMD_NODEBUG half4x3& operator*=(half4x3& x, const half4x4 y) { x = ::simd_mul(x, y); return x; }
 736  static SIMD_INLINE SIMD_NODEBUG half4x4& operator*=(half4x4& x, const half4x4 y) { x = ::simd_mul(x, y); return x; }
 737
 738  static SIMD_CPPFUNC bool operator==(const half2x2& x, const half2x2& y) { return ::simd_equal(x, y); }
 739  static SIMD_CPPFUNC bool operator==(const half2x3& x, const half2x3& y) { return ::simd_equal(x, y); }
 740  static SIMD_CPPFUNC bool operator==(const half2x4& x, const half2x4& y) { return ::simd_equal(x, y); }
 741  static SIMD_CPPFUNC bool operator==(const half3x2& x, const half3x2& y) { return ::simd_equal(x, y); }
 742  static SIMD_CPPFUNC bool operator==(const half3x3& x, const half3x3& y) { return ::simd_equal(x, y); }
 743  static SIMD_CPPFUNC bool operator==(const half3x4& x, const half3x4& y) { return ::simd_equal(x, y); }
 744  static SIMD_CPPFUNC bool operator==(const half4x2& x, const half4x2& y) { return ::simd_equal(x, y); }
 745  static SIMD_CPPFUNC bool operator==(const half4x3& x, const half4x3& y) { return ::simd_equal(x, y); }
 746  static SIMD_CPPFUNC bool operator==(const half4x4& x, const half4x4& y) { return ::simd_equal(x, y); }
 747
 748  static SIMD_CPPFUNC bool operator!=(const half2x2& x, const half2x2& y) { return !(x == y); }
 749  static SIMD_CPPFUNC bool operator!=(const half2x3& x, const half2x3& y) { return !(x == y); }
 750  static SIMD_CPPFUNC bool operator!=(const half2x4& x, const half2x4& y) { return !(x == y); }
 751  static SIMD_CPPFUNC bool operator!=(const half3x2& x, const half3x2& y) { return !(x == y); }
 752  static SIMD_CPPFUNC bool operator!=(const half3x3& x, const half3x3& y) { return !(x == y); }
 753  static SIMD_CPPFUNC bool operator!=(const half3x4& x, const half3x4& y) { return !(x == y); }
 754  static SIMD_CPPFUNC bool operator!=(const half4x2& x, const half4x2& y) { return !(x == y); }
 755  static SIMD_CPPFUNC bool operator!=(const half4x3& x, const half4x3& y) { return !(x == y); }
 756  static SIMD_CPPFUNC bool operator!=(const half4x4& x, const half4x4& y) { return !(x == y); }
 757
 758  static SIMD_CPPFUNC bool almost_equal_elements(const half2x2 x, const half2x2 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 759  static SIMD_CPPFUNC bool almost_equal_elements(const half2x3 x, const half2x3 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 760  static SIMD_CPPFUNC bool almost_equal_elements(const half2x4 x, const half2x4 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 761  static SIMD_CPPFUNC bool almost_equal_elements(const half3x2 x, const half3x2 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 762  static SIMD_CPPFUNC bool almost_equal_elements(const half3x3 x, const half3x3 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 763  static SIMD_CPPFUNC bool almost_equal_elements(const half3x4 x, const half3x4 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 764  static SIMD_CPPFUNC bool almost_equal_elements(const half4x2 x, const half4x2 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 765  static SIMD_CPPFUNC bool almost_equal_elements(const half4x3 x, const half4x3 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 766  static SIMD_CPPFUNC bool almost_equal_elements(const half4x4 x, const half4x4 y, const _Float16 tol) { return ::simd_almost_equal_elements(x, y, tol); }
 767
 768  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half2x2 x, const half2x2 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 769  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half2x3 x, const half2x3 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 770  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half2x4 x, const half2x4 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 771  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half3x2 x, const half3x2 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 772  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half3x3 x, const half3x3 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 773  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half3x4 x, const half3x4 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 774  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half4x2 x, const half4x2 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 775  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half4x3 x, const half4x3 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 776  static SIMD_CPPFUNC bool almost_equal_elements_relative(const half4x4 x, const half4x4 y, const _Float16 tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 777
 778  static SIMD_CPPFUNC float2x2 operator+(const float2x2 x, const float2x2 y) { return float2x2(::simd_linear_combination(1, x, 1, y)); }
 779  static SIMD_CPPFUNC float2x3 operator+(const float2x3 x, const float2x3 y) { return float2x3(::simd_linear_combination(1, x, 1, y)); }
 780  static SIMD_CPPFUNC float2x4 operator+(const float2x4 x, const float2x4 y) { return float2x4(::simd_linear_combination(1, x, 1, y)); }
 781  static SIMD_CPPFUNC float3x2 operator+(const float3x2 x, const float3x2 y) { return float3x2(::simd_linear_combination(1, x, 1, y)); }
 782  static SIMD_CPPFUNC float3x3 operator+(const float3x3 x, const float3x3 y) { return float3x3(::simd_linear_combination(1, x, 1, y)); }
 783  static SIMD_CPPFUNC float3x4 operator+(const float3x4 x, const float3x4 y) { return float3x4(::simd_linear_combination(1, x, 1, y)); }
 784  static SIMD_CPPFUNC float4x2 operator+(const float4x2 x, const float4x2 y) { return float4x2(::simd_linear_combination(1, x, 1, y)); }
 785  static SIMD_CPPFUNC float4x3 operator+(const float4x3 x, const float4x3 y) { return float4x3(::simd_linear_combination(1, x, 1, y)); }
 786  static SIMD_CPPFUNC float4x4 operator+(const float4x4 x, const float4x4 y) { return float4x4(::simd_linear_combination(1, x, 1, y)); }
 787  
 788  static SIMD_CPPFUNC float2x2 operator-(const float2x2 x, const float2x2 y) { return float2x2(::simd_linear_combination(1, x, -1, y)); }
 789  static SIMD_CPPFUNC float2x3 operator-(const float2x3 x, const float2x3 y) { return float2x3(::simd_linear_combination(1, x, -1, y)); }
 790  static SIMD_CPPFUNC float2x4 operator-(const float2x4 x, const float2x4 y) { return float2x4(::simd_linear_combination(1, x, -1, y)); }
 791  static SIMD_CPPFUNC float3x2 operator-(const float3x2 x, const float3x2 y) { return float3x2(::simd_linear_combination(1, x, -1, y)); }
 792  static SIMD_CPPFUNC float3x3 operator-(const float3x3 x, const float3x3 y) { return float3x3(::simd_linear_combination(1, x, -1, y)); }
 793  static SIMD_CPPFUNC float3x4 operator-(const float3x4 x, const float3x4 y) { return float3x4(::simd_linear_combination(1, x, -1, y)); }
 794  static SIMD_CPPFUNC float4x2 operator-(const float4x2 x, const float4x2 y) { return float4x2(::simd_linear_combination(1, x, -1, y)); }
 795  static SIMD_CPPFUNC float4x3 operator-(const float4x3 x, const float4x3 y) { return float4x3(::simd_linear_combination(1, x, -1, y)); }
 796  static SIMD_CPPFUNC float4x4 operator-(const float4x4 x, const float4x4 y) { return float4x4(::simd_linear_combination(1, x, -1, y)); }
 797  
 798  static SIMD_INLINE SIMD_NODEBUG float2x2& operator+=(float2x2& x, const float2x2 y) { x = x + y; return x; }
 799  static SIMD_INLINE SIMD_NODEBUG float2x3& operator+=(float2x3& x, const float2x3 y) { x = x + y; return x; }
 800  static SIMD_INLINE SIMD_NODEBUG float2x4& operator+=(float2x4& x, const float2x4 y) { x = x + y; return x; }
 801  static SIMD_INLINE SIMD_NODEBUG float3x2& operator+=(float3x2& x, const float3x2 y) { x = x + y; return x; }
 802  static SIMD_INLINE SIMD_NODEBUG float3x3& operator+=(float3x3& x, const float3x3 y) { x = x + y; return x; }
 803  static SIMD_INLINE SIMD_NODEBUG float3x4& operator+=(float3x4& x, const float3x4 y) { x = x + y; return x; }
 804  static SIMD_INLINE SIMD_NODEBUG float4x2& operator+=(float4x2& x, const float4x2 y) { x = x + y; return x; }
 805  static SIMD_INLINE SIMD_NODEBUG float4x3& operator+=(float4x3& x, const float4x3 y) { x = x + y; return x; }
 806  static SIMD_INLINE SIMD_NODEBUG float4x4& operator+=(float4x4& x, const float4x4 y) { x = x + y; return x; }
 807  
 808  static SIMD_INLINE SIMD_NODEBUG float2x2& operator-=(float2x2& x, const float2x2 y) { x = x - y; return x; }
 809  static SIMD_INLINE SIMD_NODEBUG float2x3& operator-=(float2x3& x, const float2x3 y) { x = x - y; return x; }
 810  static SIMD_INLINE SIMD_NODEBUG float2x4& operator-=(float2x4& x, const float2x4 y) { x = x - y; return x; }
 811  static SIMD_INLINE SIMD_NODEBUG float3x2& operator-=(float3x2& x, const float3x2 y) { x = x - y; return x; }
 812  static SIMD_INLINE SIMD_NODEBUG float3x3& operator-=(float3x3& x, const float3x3 y) { x = x - y; return x; }
 813  static SIMD_INLINE SIMD_NODEBUG float3x4& operator-=(float3x4& x, const float3x4 y) { x = x - y; return x; }
 814  static SIMD_INLINE SIMD_NODEBUG float4x2& operator-=(float4x2& x, const float4x2 y) { x = x - y; return x; }
 815  static SIMD_INLINE SIMD_NODEBUG float4x3& operator-=(float4x3& x, const float4x3 y) { x = x - y; return x; }
 816  static SIMD_INLINE SIMD_NODEBUG float4x4& operator-=(float4x4& x, const float4x4 y) { x = x - y; return x; }
 817  
 818  static SIMD_CPPFUNC float2x2 transpose(const float2x2 x) { return ::simd_transpose(x); }
 819  static SIMD_CPPFUNC float2x3 transpose(const float3x2 x) { return ::simd_transpose(x); }
 820  static SIMD_CPPFUNC float2x4 transpose(const float4x2 x) { return ::simd_transpose(x); }
 821  static SIMD_CPPFUNC float3x2 transpose(const float2x3 x) { return ::simd_transpose(x); }
 822  static SIMD_CPPFUNC float3x3 transpose(const float3x3 x) { return ::simd_transpose(x); }
 823  static SIMD_CPPFUNC float3x4 transpose(const float4x3 x) { return ::simd_transpose(x); }
 824  static SIMD_CPPFUNC float4x2 transpose(const float2x4 x) { return ::simd_transpose(x); }
 825  static SIMD_CPPFUNC float4x3 transpose(const float3x4 x) { return ::simd_transpose(x); }
 826  static SIMD_CPPFUNC float4x4 transpose(const float4x4 x) { return ::simd_transpose(x); }
 827
 828  static SIMD_CPPFUNC float trace(const float2x2 x) { return ::simd_trace(x); }
 829  static SIMD_CPPFUNC float trace(const float3x3 x) { return ::simd_trace(x); }
 830  static SIMD_CPPFUNC float trace(const float4x4 x) { return ::simd_trace(x); }
 831
 832  static SIMD_CPPFUNC float determinant(const float2x2 x) { return ::simd_determinant(x); }
 833  static SIMD_CPPFUNC float determinant(const float3x3 x) { return ::simd_determinant(x); }
 834  static SIMD_CPPFUNC float determinant(const float4x4 x) { return ::simd_determinant(x); }
 835  
 836#pragma clang diagnostic push
 837#pragma clang diagnostic ignored "-Wgcc-compat"
 838  static SIMD_CPPFUNC float2x2 inverse(const float2x2 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
 839  static SIMD_CPPFUNC float3x3 inverse(const float3x3 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
 840  static SIMD_CPPFUNC float4x4 inverse(const float4x4 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
 841#pragma clang diagnostic pop
 842  
 843  static SIMD_CPPFUNC float2x2 operator*(const float a, const float2x2 x) { return ::simd_mul(a, x); }
 844  static SIMD_CPPFUNC float2x3 operator*(const float a, const float2x3 x) { return ::simd_mul(a, x); }
 845  static SIMD_CPPFUNC float2x4 operator*(const float a, const float2x4 x) { return ::simd_mul(a, x); }
 846  static SIMD_CPPFUNC float3x2 operator*(const float a, const float3x2 x) { return ::simd_mul(a, x); }
 847  static SIMD_CPPFUNC float3x3 operator*(const float a, const float3x3 x) { return ::simd_mul(a, x); }
 848  static SIMD_CPPFUNC float3x4 operator*(const float a, const float3x4 x) { return ::simd_mul(a, x); }
 849  static SIMD_CPPFUNC float4x2 operator*(const float a, const float4x2 x) { return ::simd_mul(a, x); }
 850  static SIMD_CPPFUNC float4x3 operator*(const float a, const float4x3 x) { return ::simd_mul(a, x); }
 851  static SIMD_CPPFUNC float4x4 operator*(const float a, const float4x4 x) { return ::simd_mul(a, x); }
 852  static SIMD_CPPFUNC float2x2 operator*(const float2x2 x, const float a) { return ::simd_mul(a, x); }
 853  static SIMD_CPPFUNC float2x3 operator*(const float2x3 x, const float a) { return ::simd_mul(a, x); }
 854  static SIMD_CPPFUNC float2x4 operator*(const float2x4 x, const float a) { return ::simd_mul(a, x); }
 855  static SIMD_CPPFUNC float3x2 operator*(const float3x2 x, const float a) { return ::simd_mul(a, x); }
 856  static SIMD_CPPFUNC float3x3 operator*(const float3x3 x, const float a) { return ::simd_mul(a, x); }
 857  static SIMD_CPPFUNC float3x4 operator*(const float3x4 x, const float a) { return ::simd_mul(a, x); }
 858  static SIMD_CPPFUNC float4x2 operator*(const float4x2 x, const float a) { return ::simd_mul(a, x); }
 859  static SIMD_CPPFUNC float4x3 operator*(const float4x3 x, const float a) { return ::simd_mul(a, x); }
 860  static SIMD_CPPFUNC float4x4 operator*(const float4x4 x, const float a) { return ::simd_mul(a, x); }
 861  static SIMD_INLINE SIMD_NODEBUG float2x2& operator*=(float2x2& x, const float a) { x = ::simd_mul(a, x); return x; }
 862  static SIMD_INLINE SIMD_NODEBUG float2x3& operator*=(float2x3& x, const float a) { x = ::simd_mul(a, x); return x; }
 863  static SIMD_INLINE SIMD_NODEBUG float2x4& operator*=(float2x4& x, const float a) { x = ::simd_mul(a, x); return x; }
 864  static SIMD_INLINE SIMD_NODEBUG float3x2& operator*=(float3x2& x, const float a) { x = ::simd_mul(a, x); return x; }
 865  static SIMD_INLINE SIMD_NODEBUG float3x3& operator*=(float3x3& x, const float a) { x = ::simd_mul(a, x); return x; }
 866  static SIMD_INLINE SIMD_NODEBUG float3x4& operator*=(float3x4& x, const float a) { x = ::simd_mul(a, x); return x; }
 867  static SIMD_INLINE SIMD_NODEBUG float4x2& operator*=(float4x2& x, const float a) { x = ::simd_mul(a, x); return x; }
 868  static SIMD_INLINE SIMD_NODEBUG float4x3& operator*=(float4x3& x, const float a) { x = ::simd_mul(a, x); return x; }
 869  static SIMD_INLINE SIMD_NODEBUG float4x4& operator*=(float4x4& x, const float a) { x = ::simd_mul(a, x); return x; }
 870  
 871  static SIMD_CPPFUNC float2 operator*(const float2 x, const float2x2 y) { return ::simd_mul(x, y); }
 872  static SIMD_CPPFUNC float3 operator*(const float2 x, const float3x2 y) { return ::simd_mul(x, y); }
 873  static SIMD_CPPFUNC float4 operator*(const float2 x, const float4x2 y) { return ::simd_mul(x, y); }
 874  static SIMD_CPPFUNC float2 operator*(const float3 x, const float2x3 y) { return ::simd_mul(x, y); }
 875  static SIMD_CPPFUNC float3 operator*(const float3 x, const float3x3 y) { return ::simd_mul(x, y); }
 876  static SIMD_CPPFUNC float4 operator*(const float3 x, const float4x3 y) { return ::simd_mul(x, y); }
 877  static SIMD_CPPFUNC float2 operator*(const float4 x, const float2x4 y) { return ::simd_mul(x, y); }
 878  static SIMD_CPPFUNC float3 operator*(const float4 x, const float3x4 y) { return ::simd_mul(x, y); }
 879  static SIMD_CPPFUNC float4 operator*(const float4 x, const float4x4 y) { return ::simd_mul(x, y); }
 880  static SIMD_CPPFUNC float2 operator*(const float2x2 x, const float2 y) { return ::simd_mul(x, y); }
 881  static SIMD_CPPFUNC float2 operator*(const float3x2 x, const float3 y) { return ::simd_mul(x, y); }
 882  static SIMD_CPPFUNC float2 operator*(const float4x2 x, const float4 y) { return ::simd_mul(x, y); }
 883  static SIMD_CPPFUNC float3 operator*(const float2x3 x, const float2 y) { return ::simd_mul(x, y); }
 884  static SIMD_CPPFUNC float3 operator*(const float3x3 x, const float3 y) { return ::simd_mul(x, y); }
 885  static SIMD_CPPFUNC float3 operator*(const float4x3 x, const float4 y) { return ::simd_mul(x, y); }
 886  static SIMD_CPPFUNC float4 operator*(const float2x4 x, const float2 y) { return ::simd_mul(x, y); }
 887  static SIMD_CPPFUNC float4 operator*(const float3x4 x, const float3 y) { return ::simd_mul(x, y); }
 888  static SIMD_CPPFUNC float4 operator*(const float4x4 x, const float4 y) { return ::simd_mul(x, y); }
 889  static SIMD_INLINE SIMD_NODEBUG float2& operator*=(float2& x, const float2x2 y) { x = ::simd_mul(x, y); return x; }
 890  static SIMD_INLINE SIMD_NODEBUG float3& operator*=(float3& x, const float3x3 y) { x = ::simd_mul(x, y); return x; }
 891  static SIMD_INLINE SIMD_NODEBUG float4& operator*=(float4& x, const float4x4 y) { x = ::simd_mul(x, y); return x; }
 892  
 893  static SIMD_CPPFUNC float2x2 operator*(const float2x2 x, const float2x2 y) { return ::simd_mul(x, y); }
 894  static SIMD_CPPFUNC float3x2 operator*(const float2x2 x, const float3x2 y) { return ::simd_mul(x, y); }
 895  static SIMD_CPPFUNC float4x2 operator*(const float2x2 x, const float4x2 y) { return ::simd_mul(x, y); }
 896  static SIMD_CPPFUNC float2x3 operator*(const float2x3 x, const float2x2 y) { return ::simd_mul(x, y); }
 897  static SIMD_CPPFUNC float3x3 operator*(const float2x3 x, const float3x2 y) { return ::simd_mul(x, y); }
 898  static SIMD_CPPFUNC float4x3 operator*(const float2x3 x, const float4x2 y) { return ::simd_mul(x, y); }
 899  static SIMD_CPPFUNC float2x4 operator*(const float2x4 x, const float2x2 y) { return ::simd_mul(x, y); }
 900  static SIMD_CPPFUNC float3x4 operator*(const float2x4 x, const float3x2 y) { return ::simd_mul(x, y); }
 901  static SIMD_CPPFUNC float4x4 operator*(const float2x4 x, const float4x2 y) { return ::simd_mul(x, y); }
 902  static SIMD_CPPFUNC float2x2 operator*(const float3x2 x, const float2x3 y) { return ::simd_mul(x, y); }
 903  static SIMD_CPPFUNC float3x2 operator*(const float3x2 x, const float3x3 y) { return ::simd_mul(x, y); }
 904  static SIMD_CPPFUNC float4x2 operator*(const float3x2 x, const float4x3 y) { return ::simd_mul(x, y); }
 905  static SIMD_CPPFUNC float2x3 operator*(const float3x3 x, const float2x3 y) { return ::simd_mul(x, y); }
 906  static SIMD_CPPFUNC float3x3 operator*(const float3x3 x, const float3x3 y) { return ::simd_mul(x, y); }
 907  static SIMD_CPPFUNC float4x3 operator*(const float3x3 x, const float4x3 y) { return ::simd_mul(x, y); }
 908  static SIMD_CPPFUNC float2x4 operator*(const float3x4 x, const float2x3 y) { return ::simd_mul(x, y); }
 909  static SIMD_CPPFUNC float3x4 operator*(const float3x4 x, const float3x3 y) { return ::simd_mul(x, y); }
 910  static SIMD_CPPFUNC float4x4 operator*(const float3x4 x, const float4x3 y) { return ::simd_mul(x, y); }
 911  static SIMD_CPPFUNC float2x2 operator*(const float4x2 x, const float2x4 y) { return ::simd_mul(x, y); }
 912  static SIMD_CPPFUNC float3x2 operator*(const float4x2 x, const float3x4 y) { return ::simd_mul(x, y); }
 913  static SIMD_CPPFUNC float4x2 operator*(const float4x2 x, const float4x4 y) { return ::simd_mul(x, y); }
 914  static SIMD_CPPFUNC float2x3 operator*(const float4x3 x, const float2x4 y) { return ::simd_mul(x, y); }
 915  static SIMD_CPPFUNC float3x3 operator*(const float4x3 x, const float3x4 y) { return ::simd_mul(x, y); }
 916  static SIMD_CPPFUNC float4x3 operator*(const float4x3 x, const float4x4 y) { return ::simd_mul(x, y); }
 917  static SIMD_CPPFUNC float2x4 operator*(const float4x4 x, const float2x4 y) { return ::simd_mul(x, y); }
 918  static SIMD_CPPFUNC float3x4 operator*(const float4x4 x, const float3x4 y) { return ::simd_mul(x, y); }
 919  static SIMD_CPPFUNC float4x4 operator*(const float4x4 x, const float4x4 y) { return ::simd_mul(x, y); }
 920  static SIMD_INLINE SIMD_NODEBUG float2x2& operator*=(float2x2& x, const float2x2 y) { x = ::simd_mul(x, y); return x; }
 921  static SIMD_INLINE SIMD_NODEBUG float2x3& operator*=(float2x3& x, const float2x2 y) { x = ::simd_mul(x, y); return x; }
 922  static SIMD_INLINE SIMD_NODEBUG float2x4& operator*=(float2x4& x, const float2x2 y) { x = ::simd_mul(x, y); return x; }
 923  static SIMD_INLINE SIMD_NODEBUG float3x2& operator*=(float3x2& x, const float3x3 y) { x = ::simd_mul(x, y); return x; }
 924  static SIMD_INLINE SIMD_NODEBUG float3x3& operator*=(float3x3& x, const float3x3 y) { x = ::simd_mul(x, y); return x; }
 925  static SIMD_INLINE SIMD_NODEBUG float3x4& operator*=(float3x4& x, const float3x3 y) { x = ::simd_mul(x, y); return x; }
 926  static SIMD_INLINE SIMD_NODEBUG float4x2& operator*=(float4x2& x, const float4x4 y) { x = ::simd_mul(x, y); return x; }
 927  static SIMD_INLINE SIMD_NODEBUG float4x3& operator*=(float4x3& x, const float4x4 y) { x = ::simd_mul(x, y); return x; }
 928  static SIMD_INLINE SIMD_NODEBUG float4x4& operator*=(float4x4& x, const float4x4 y) { x = ::simd_mul(x, y); return x; }
 929  
 930  static SIMD_CPPFUNC bool operator==(const float2x2& x, const float2x2& y) { return ::simd_equal(x, y); }
 931  static SIMD_CPPFUNC bool operator==(const float2x3& x, const float2x3& y) { return ::simd_equal(x, y); }
 932  static SIMD_CPPFUNC bool operator==(const float2x4& x, const float2x4& y) { return ::simd_equal(x, y); }
 933  static SIMD_CPPFUNC bool operator==(const float3x2& x, const float3x2& y) { return ::simd_equal(x, y); }
 934  static SIMD_CPPFUNC bool operator==(const float3x3& x, const float3x3& y) { return ::simd_equal(x, y); }
 935  static SIMD_CPPFUNC bool operator==(const float3x4& x, const float3x4& y) { return ::simd_equal(x, y); }
 936  static SIMD_CPPFUNC bool operator==(const float4x2& x, const float4x2& y) { return ::simd_equal(x, y); }
 937  static SIMD_CPPFUNC bool operator==(const float4x3& x, const float4x3& y) { return ::simd_equal(x, y); }
 938  static SIMD_CPPFUNC bool operator==(const float4x4& x, const float4x4& y) { return ::simd_equal(x, y); }
 939  
 940  static SIMD_CPPFUNC bool operator!=(const float2x2& x, const float2x2& y) { return !(x == y); }
 941  static SIMD_CPPFUNC bool operator!=(const float2x3& x, const float2x3& y) { return !(x == y); }
 942  static SIMD_CPPFUNC bool operator!=(const float2x4& x, const float2x4& y) { return !(x == y); }
 943  static SIMD_CPPFUNC bool operator!=(const float3x2& x, const float3x2& y) { return !(x == y); }
 944  static SIMD_CPPFUNC bool operator!=(const float3x3& x, const float3x3& y) { return !(x == y); }
 945  static SIMD_CPPFUNC bool operator!=(const float3x4& x, const float3x4& y) { return !(x == y); }
 946  static SIMD_CPPFUNC bool operator!=(const float4x2& x, const float4x2& y) { return !(x == y); }
 947  static SIMD_CPPFUNC bool operator!=(const float4x3& x, const float4x3& y) { return !(x == y); }
 948  static SIMD_CPPFUNC bool operator!=(const float4x4& x, const float4x4& y) { return !(x == y); }
 949  
 950  static SIMD_CPPFUNC bool almost_equal_elements(const float2x2 x, const float2x2 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 951  static SIMD_CPPFUNC bool almost_equal_elements(const float2x3 x, const float2x3 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 952  static SIMD_CPPFUNC bool almost_equal_elements(const float2x4 x, const float2x4 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 953  static SIMD_CPPFUNC bool almost_equal_elements(const float3x2 x, const float3x2 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 954  static SIMD_CPPFUNC bool almost_equal_elements(const float3x3 x, const float3x3 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 955  static SIMD_CPPFUNC bool almost_equal_elements(const float3x4 x, const float3x4 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 956  static SIMD_CPPFUNC bool almost_equal_elements(const float4x2 x, const float4x2 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 957  static SIMD_CPPFUNC bool almost_equal_elements(const float4x3 x, const float4x3 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 958  static SIMD_CPPFUNC bool almost_equal_elements(const float4x4 x, const float4x4 y, const float tol) { return ::simd_almost_equal_elements(x, y, tol); }
 959    
 960  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float2x2 x, const float2x2 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 961  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float2x3 x, const float2x3 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 962  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float2x4 x, const float2x4 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 963  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float3x2 x, const float3x2 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 964  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float3x3 x, const float3x3 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 965  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float3x4 x, const float3x4 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 966  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float4x2 x, const float4x2 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 967  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float4x3 x, const float4x3 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 968  static SIMD_CPPFUNC bool almost_equal_elements_relative(const float4x4 x, const float4x4 y, const float tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
 969  
 970  static SIMD_CPPFUNC double2x2 operator+(const double2x2 x, const double2x2 y) { return double2x2(::simd_linear_combination(1, x, 1, y)); }
 971  static SIMD_CPPFUNC double2x3 operator+(const double2x3 x, const double2x3 y) { return double2x3(::simd_linear_combination(1, x, 1, y)); }
 972  static SIMD_CPPFUNC double2x4 operator+(const double2x4 x, const double2x4 y) { return double2x4(::simd_linear_combination(1, x, 1, y)); }
 973  static SIMD_CPPFUNC double3x2 operator+(const double3x2 x, const double3x2 y) { return double3x2(::simd_linear_combination(1, x, 1, y)); }
 974  static SIMD_CPPFUNC double3x3 operator+(const double3x3 x, const double3x3 y) { return double3x3(::simd_linear_combination(1, x, 1, y)); }
 975  static SIMD_CPPFUNC double3x4 operator+(const double3x4 x, const double3x4 y) { return double3x4(::simd_linear_combination(1, x, 1, y)); }
 976  static SIMD_CPPFUNC double4x2 operator+(const double4x2 x, const double4x2 y) { return double4x2(::simd_linear_combination(1, x, 1, y)); }
 977  static SIMD_CPPFUNC double4x3 operator+(const double4x3 x, const double4x3 y) { return double4x3(::simd_linear_combination(1, x, 1, y)); }
 978  static SIMD_CPPFUNC double4x4 operator+(const double4x4 x, const double4x4 y) { return double4x4(::simd_linear_combination(1, x, 1, y)); }
 979  
 980  static SIMD_CPPFUNC double2x2 operator-(const double2x2 x, const double2x2 y) { return double2x2(::simd_linear_combination(1, x, -1, y)); }
 981  static SIMD_CPPFUNC double2x3 operator-(const double2x3 x, const double2x3 y) { return double2x3(::simd_linear_combination(1, x, -1, y)); }
 982  static SIMD_CPPFUNC double2x4 operator-(const double2x4 x, const double2x4 y) { return double2x4(::simd_linear_combination(1, x, -1, y)); }
 983  static SIMD_CPPFUNC double3x2 operator-(const double3x2 x, const double3x2 y) { return double3x2(::simd_linear_combination(1, x, -1, y)); }
 984  static SIMD_CPPFUNC double3x3 operator-(const double3x3 x, const double3x3 y) { return double3x3(::simd_linear_combination(1, x, -1, y)); }
 985  static SIMD_CPPFUNC double3x4 operator-(const double3x4 x, const double3x4 y) { return double3x4(::simd_linear_combination(1, x, -1, y)); }
 986  static SIMD_CPPFUNC double4x2 operator-(const double4x2 x, const double4x2 y) { return double4x2(::simd_linear_combination(1, x, -1, y)); }
 987  static SIMD_CPPFUNC double4x3 operator-(const double4x3 x, const double4x3 y) { return double4x3(::simd_linear_combination(1, x, -1, y)); }
 988  static SIMD_CPPFUNC double4x4 operator-(const double4x4 x, const double4x4 y) { return double4x4(::simd_linear_combination(1, x, -1, y)); }
 989  
 990  static SIMD_INLINE SIMD_NODEBUG double2x2& operator+=(double2x2& x, const double2x2 y) { x = x + y; return x; }
 991  static SIMD_INLINE SIMD_NODEBUG double2x3& operator+=(double2x3& x, const double2x3 y) { x = x + y; return x; }
 992  static SIMD_INLINE SIMD_NODEBUG double2x4& operator+=(double2x4& x, const double2x4 y) { x = x + y; return x; }
 993  static SIMD_INLINE SIMD_NODEBUG double3x2& operator+=(double3x2& x, const double3x2 y) { x = x + y; return x; }
 994  static SIMD_INLINE SIMD_NODEBUG double3x3& operator+=(double3x3& x, const double3x3 y) { x = x + y; return x; }
 995  static SIMD_INLINE SIMD_NODEBUG double3x4& operator+=(double3x4& x, const double3x4 y) { x = x + y; return x; }
 996  static SIMD_INLINE SIMD_NODEBUG double4x2& operator+=(double4x2& x, const double4x2 y) { x = x + y; return x; }
 997  static SIMD_INLINE SIMD_NODEBUG double4x3& operator+=(double4x3& x, const double4x3 y) { x = x + y; return x; }
 998  static SIMD_INLINE SIMD_NODEBUG double4x4& operator+=(double4x4& x, const double4x4 y) { x = x + y; return x; }
 999  
1000  static SIMD_INLINE SIMD_NODEBUG double2x2& operator-=(double2x2& x, const double2x2 y) { x = x - y; return x; }
1001  static SIMD_INLINE SIMD_NODEBUG double2x3& operator-=(double2x3& x, const double2x3 y) { x = x - y; return x; }
1002  static SIMD_INLINE SIMD_NODEBUG double2x4& operator-=(double2x4& x, const double2x4 y) { x = x - y; return x; }
1003  static SIMD_INLINE SIMD_NODEBUG double3x2& operator-=(double3x2& x, const double3x2 y) { x = x - y; return x; }
1004  static SIMD_INLINE SIMD_NODEBUG double3x3& operator-=(double3x3& x, const double3x3 y) { x = x - y; return x; }
1005  static SIMD_INLINE SIMD_NODEBUG double3x4& operator-=(double3x4& x, const double3x4 y) { x = x - y; return x; }
1006  static SIMD_INLINE SIMD_NODEBUG double4x2& operator-=(double4x2& x, const double4x2 y) { x = x - y; return x; }
1007  static SIMD_INLINE SIMD_NODEBUG double4x3& operator-=(double4x3& x, const double4x3 y) { x = x - y; return x; }
1008  static SIMD_INLINE SIMD_NODEBUG double4x4& operator-=(double4x4& x, const double4x4 y) { x = x - y; return x; }
1009  
1010  static SIMD_CPPFUNC double2x2 transpose(const double2x2 x) { return ::simd_transpose(x); }
1011  static SIMD_CPPFUNC double2x3 transpose(const double3x2 x) { return ::simd_transpose(x); }
1012  static SIMD_CPPFUNC double2x4 transpose(const double4x2 x) { return ::simd_transpose(x); }
1013  static SIMD_CPPFUNC double3x2 transpose(const double2x3 x) { return ::simd_transpose(x); }
1014  static SIMD_CPPFUNC double3x3 transpose(const double3x3 x) { return ::simd_transpose(x); }
1015  static SIMD_CPPFUNC double3x4 transpose(const double4x3 x) { return ::simd_transpose(x); }
1016  static SIMD_CPPFUNC double4x2 transpose(const double2x4 x) { return ::simd_transpose(x); }
1017  static SIMD_CPPFUNC double4x3 transpose(const double3x4 x) { return ::simd_transpose(x); }
1018  static SIMD_CPPFUNC double4x4 transpose(const double4x4 x) { return ::simd_transpose(x); }
1019
1020  static SIMD_CPPFUNC double trace(const double2x2 x) { return ::simd_trace(x); }
1021  static SIMD_CPPFUNC double trace(const double3x3 x) { return ::simd_trace(x); }
1022  static SIMD_CPPFUNC double trace(const double4x4 x) { return ::simd_trace(x); }
1023
1024  static SIMD_CPPFUNC double determinant(const double2x2 x) { return ::simd_determinant(x); }
1025  static SIMD_CPPFUNC double determinant(const double3x3 x) { return ::simd_determinant(x); }
1026  static SIMD_CPPFUNC double determinant(const double4x4 x) { return ::simd_determinant(x); }
1027  
1028#pragma clang diagnostic push
1029#pragma clang diagnostic ignored "-Wgcc-compat"
1030  static SIMD_CPPFUNC double2x2 inverse(const double2x2 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
1031  static SIMD_CPPFUNC double3x3 inverse(const double3x3 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
1032  static SIMD_CPPFUNC double4x4 inverse(const double4x4 x) __API_AVAILABLE(macos(10.10), ios(8.0), watchos(2.0), tvos(9.0)) { return ::simd_inverse(x); }
1033#pragma clang diagnostic pop
1034  
1035  static SIMD_CPPFUNC double2x2 operator*(const double a, const double2x2 x) { return ::simd_mul(a, x); }
1036  static SIMD_CPPFUNC double2x3 operator*(const double a, const double2x3 x) { return ::simd_mul(a, x); }
1037  static SIMD_CPPFUNC double2x4 operator*(const double a, const double2x4 x) { return ::simd_mul(a, x); }
1038  static SIMD_CPPFUNC double3x2 operator*(const double a, const double3x2 x) { return ::simd_mul(a, x); }
1039  static SIMD_CPPFUNC double3x3 operator*(const double a, const double3x3 x) { return ::simd_mul(a, x); }
1040  static SIMD_CPPFUNC double3x4 operator*(const double a, const double3x4 x) { return ::simd_mul(a, x); }
1041  static SIMD_CPPFUNC double4x2 operator*(const double a, const double4x2 x) { return ::simd_mul(a, x); }
1042  static SIMD_CPPFUNC double4x3 operator*(const double a, const double4x3 x) { return ::simd_mul(a, x); }
1043  static SIMD_CPPFUNC double4x4 operator*(const double a, const double4x4 x) { return ::simd_mul(a, x); }
1044  static SIMD_CPPFUNC double2x2 operator*(const double2x2 x, const double a) { return ::simd_mul(a, x); }
1045  static SIMD_CPPFUNC double2x3 operator*(const double2x3 x, const double a) { return ::simd_mul(a, x); }
1046  static SIMD_CPPFUNC double2x4 operator*(const double2x4 x, const double a) { return ::simd_mul(a, x); }
1047  static SIMD_CPPFUNC double3x2 operator*(const double3x2 x, const double a) { return ::simd_mul(a, x); }
1048  static SIMD_CPPFUNC double3x3 operator*(const double3x3 x, const double a) { return ::simd_mul(a, x); }
1049  static SIMD_CPPFUNC double3x4 operator*(const double3x4 x, const double a) { return ::simd_mul(a, x); }
1050  static SIMD_CPPFUNC double4x2 operator*(const double4x2 x, const double a) { return ::simd_mul(a, x); }
1051  static SIMD_CPPFUNC double4x3 operator*(const double4x3 x, const double a) { return ::simd_mul(a, x); }
1052  static SIMD_CPPFUNC double4x4 operator*(const double4x4 x, const double a) { return ::simd_mul(a, x); }
1053  static SIMD_INLINE SIMD_NODEBUG double2x2& operator*=(double2x2& x, const double a) { x = ::simd_mul(a, x); return x; }
1054  static SIMD_INLINE SIMD_NODEBUG double2x3& operator*=(double2x3& x, const double a) { x = ::simd_mul(a, x); return x; }
1055  static SIMD_INLINE SIMD_NODEBUG double2x4& operator*=(double2x4& x, const double a) { x = ::simd_mul(a, x); return x; }
1056  static SIMD_INLINE SIMD_NODEBUG double3x2& operator*=(double3x2& x, const double a) { x = ::simd_mul(a, x); return x; }
1057  static SIMD_INLINE SIMD_NODEBUG double3x3& operator*=(double3x3& x, const double a) { x = ::simd_mul(a, x); return x; }
1058  static SIMD_INLINE SIMD_NODEBUG double3x4& operator*=(double3x4& x, const double a) { x = ::simd_mul(a, x); return x; }
1059  static SIMD_INLINE SIMD_NODEBUG double4x2& operator*=(double4x2& x, const double a) { x = ::simd_mul(a, x); return x; }
1060  static SIMD_INLINE SIMD_NODEBUG double4x3& operator*=(double4x3& x, const double a) { x = ::simd_mul(a, x); return x; }
1061  static SIMD_INLINE SIMD_NODEBUG double4x4& operator*=(double4x4& x, const double a) { x = ::simd_mul(a, x); return x; }
1062  
1063  static SIMD_CPPFUNC double2 operator*(const double2 x, const double2x2 y) { return ::simd_mul(x, y); }
1064  static SIMD_CPPFUNC double3 operator*(const double2 x, const double3x2 y) { return ::simd_mul(x, y); }
1065  static SIMD_CPPFUNC double4 operator*(const double2 x, const double4x2 y) { return ::simd_mul(x, y); }
1066  static SIMD_CPPFUNC double2 operator*(const double3 x, const double2x3 y) { return ::simd_mul(x, y); }
1067  static SIMD_CPPFUNC double3 operator*(const double3 x, const double3x3 y) { return ::simd_mul(x, y); }
1068  static SIMD_CPPFUNC double4 operator*(const double3 x, const double4x3 y) { return ::simd_mul(x, y); }
1069  static SIMD_CPPFUNC double2 operator*(const double4 x, const double2x4 y) { return ::simd_mul(x, y); }
1070  static SIMD_CPPFUNC double3 operator*(const double4 x, const double3x4 y) { return ::simd_mul(x, y); }
1071  static SIMD_CPPFUNC double4 operator*(const double4 x, const double4x4 y) { return ::simd_mul(x, y); }
1072  static SIMD_CPPFUNC double2 operator*(const double2x2 x, const double2 y) { return ::simd_mul(x, y); }
1073  static SIMD_CPPFUNC double2 operator*(const double3x2 x, const double3 y) { return ::simd_mul(x, y); }
1074  static SIMD_CPPFUNC double2 operator*(const double4x2 x, const double4 y) { return ::simd_mul(x, y); }
1075  static SIMD_CPPFUNC double3 operator*(const double2x3 x, const double2 y) { return ::simd_mul(x, y); }
1076  static SIMD_CPPFUNC double3 operator*(const double3x3 x, const double3 y) { return ::simd_mul(x, y); }
1077  static SIMD_CPPFUNC double3 operator*(const double4x3 x, const double4 y) { return ::simd_mul(x, y); }
1078  static SIMD_CPPFUNC double4 operator*(const double2x4 x, const double2 y) { return ::simd_mul(x, y); }
1079  static SIMD_CPPFUNC double4 operator*(const double3x4 x, const double3 y) { return ::simd_mul(x, y); }
1080  static SIMD_CPPFUNC double4 operator*(const double4x4 x, const double4 y) { return ::simd_mul(x, y); }
1081  static SIMD_INLINE SIMD_NODEBUG double2& operator*=(double2& x, const double2x2 y) { x = ::simd_mul(x, y); return x; }
1082  static SIMD_INLINE SIMD_NODEBUG double3& operator*=(double3& x, const double3x3 y) { x = ::simd_mul(x, y); return x; }
1083  static SIMD_INLINE SIMD_NODEBUG double4& operator*=(double4& x, const double4x4 y) { x = ::simd_mul(x, y); return x; }
1084  
1085  static SIMD_CPPFUNC double2x2 operator*(const double2x2 x, const double2x2 y) { return ::simd_mul(x, y); }
1086  static SIMD_CPPFUNC double3x2 operator*(const double2x2 x, const double3x2 y) { return ::simd_mul(x, y); }
1087  static SIMD_CPPFUNC double4x2 operator*(const double2x2 x, const double4x2 y) { return ::simd_mul(x, y); }
1088  static SIMD_CPPFUNC double2x3 operator*(const double2x3 x, const double2x2 y) { return ::simd_mul(x, y); }
1089  static SIMD_CPPFUNC double3x3 operator*(const double2x3 x, const double3x2 y) { return ::simd_mul(x, y); }
1090  static SIMD_CPPFUNC double4x3 operator*(const double2x3 x, const double4x2 y) { return ::simd_mul(x, y); }
1091  static SIMD_CPPFUNC double2x4 operator*(const double2x4 x, const double2x2 y) { return ::simd_mul(x, y); }
1092  static SIMD_CPPFUNC double3x4 operator*(const double2x4 x, const double3x2 y) { return ::simd_mul(x, y); }
1093  static SIMD_CPPFUNC double4x4 operator*(const double2x4 x, const double4x2 y) { return ::simd_mul(x, y); }
1094  static SIMD_CPPFUNC double2x2 operator*(const double3x2 x, const double2x3 y) { return ::simd_mul(x, y); }
1095  static SIMD_CPPFUNC double3x2 operator*(const double3x2 x, const double3x3 y) { return ::simd_mul(x, y); }
1096  static SIMD_CPPFUNC double4x2 operator*(const double3x2 x, const double4x3 y) { return ::simd_mul(x, y); }
1097  static SIMD_CPPFUNC double2x3 operator*(const double3x3 x, const double2x3 y) { return ::simd_mul(x, y); }
1098  static SIMD_CPPFUNC double3x3 operator*(const double3x3 x, const double3x3 y) { return ::simd_mul(x, y); }
1099  static SIMD_CPPFUNC double4x3 operator*(const double3x3 x, const double4x3 y) { return ::simd_mul(x, y); }
1100  static SIMD_CPPFUNC double2x4 operator*(const double3x4 x, const double2x3 y) { return ::simd_mul(x, y); }
1101  static SIMD_CPPFUNC double3x4 operator*(const double3x4 x, const double3x3 y) { return ::simd_mul(x, y); }
1102  static SIMD_CPPFUNC double4x4 operator*(const double3x4 x, const double4x3 y) { return ::simd_mul(x, y); }
1103  static SIMD_CPPFUNC double2x2 operator*(const double4x2 x, const double2x4 y) { return ::simd_mul(x, y); }
1104  static SIMD_CPPFUNC double3x2 operator*(const double4x2 x, const double3x4 y) { return ::simd_mul(x, y); }
1105  static SIMD_CPPFUNC double4x2 operator*(const double4x2 x, const double4x4 y) { return ::simd_mul(x, y); }
1106  static SIMD_CPPFUNC double2x3 operator*(const double4x3 x, const double2x4 y) { return ::simd_mul(x, y); }
1107  static SIMD_CPPFUNC double3x3 operator*(const double4x3 x, const double3x4 y) { return ::simd_mul(x, y); }
1108  static SIMD_CPPFUNC double4x3 operator*(const double4x3 x, const double4x4 y) { return ::simd_mul(x, y); }
1109  static SIMD_CPPFUNC double2x4 operator*(const double4x4 x, const double2x4 y) { return ::simd_mul(x, y); }
1110  static SIMD_CPPFUNC double3x4 operator*(const double4x4 x, const double3x4 y) { return ::simd_mul(x, y); }
1111  static SIMD_CPPFUNC double4x4 operator*(const double4x4 x, const double4x4 y) { return ::simd_mul(x, y); }
1112  static SIMD_INLINE SIMD_NODEBUG double2x2& operator*=(double2x2& x, const double2x2 y) { x = ::simd_mul(x, y); return x; }
1113  static SIMD_INLINE SIMD_NODEBUG double2x3& operator*=(double2x3& x, const double2x2 y) { x = ::simd_mul(x, y); return x; }
1114  static SIMD_INLINE SIMD_NODEBUG double2x4& operator*=(double2x4& x, const double2x2 y) { x = ::simd_mul(x, y); return x; }
1115  static SIMD_INLINE SIMD_NODEBUG double3x2& operator*=(double3x2& x, const double3x3 y) { x = ::simd_mul(x, y); return x; }
1116  static SIMD_INLINE SIMD_NODEBUG double3x3& operator*=(double3x3& x, const double3x3 y) { x = ::simd_mul(x, y); return x; }
1117  static SIMD_INLINE SIMD_NODEBUG double3x4& operator*=(double3x4& x, const double3x3 y) { x = ::simd_mul(x, y); return x; }
1118  static SIMD_INLINE SIMD_NODEBUG double4x2& operator*=(double4x2& x, const double4x4 y) { x = ::simd_mul(x, y); return x; }
1119  static SIMD_INLINE SIMD_NODEBUG double4x3& operator*=(double4x3& x, const double4x4 y) { x = ::simd_mul(x, y); return x; }
1120  static SIMD_INLINE SIMD_NODEBUG double4x4& operator*=(double4x4& x, const double4x4 y) { x = ::simd_mul(x, y); return x; }
1121  
1122  static SIMD_CPPFUNC bool operator==(const double2x2& x, const double2x2& y) { return ::simd_equal(x, y); }
1123  static SIMD_CPPFUNC bool operator==(const double2x3& x, const double2x3& y) { return ::simd_equal(x, y); }
1124  static SIMD_CPPFUNC bool operator==(const double2x4& x, const double2x4& y) { return ::simd_equal(x, y); }
1125  static SIMD_CPPFUNC bool operator==(const double3x2& x, const double3x2& y) { return ::simd_equal(x, y); }
1126  static SIMD_CPPFUNC bool operator==(const double3x3& x, const double3x3& y) { return ::simd_equal(x, y); }
1127  static SIMD_CPPFUNC bool operator==(const double3x4& x, const double3x4& y) { return ::simd_equal(x, y); }
1128  static SIMD_CPPFUNC bool operator==(const double4x2& x, const double4x2& y) { return ::simd_equal(x, y); }
1129  static SIMD_CPPFUNC bool operator==(const double4x3& x, const double4x3& y) { return ::simd_equal(x, y); }
1130  static SIMD_CPPFUNC bool operator==(const double4x4& x, const double4x4& y) { return ::simd_equal(x, y); }
1131  
1132  static SIMD_CPPFUNC bool operator!=(const double2x2& x, const double2x2& y) { return !(x == y); }
1133  static SIMD_CPPFUNC bool operator!=(const double2x3& x, const double2x3& y) { return !(x == y); }
1134  static SIMD_CPPFUNC bool operator!=(const double2x4& x, const double2x4& y) { return !(x == y); }
1135  static SIMD_CPPFUNC bool operator!=(const double3x2& x, const double3x2& y) { return !(x == y); }
1136  static SIMD_CPPFUNC bool operator!=(const double3x3& x, const double3x3& y) { return !(x == y); }
1137  static SIMD_CPPFUNC bool operator!=(const double3x4& x, const double3x4& y) { return !(x == y); }
1138  static SIMD_CPPFUNC bool operator!=(const double4x2& x, const double4x2& y) { return !(x == y); }
1139  static SIMD_CPPFUNC bool operator!=(const double4x3& x, const double4x3& y) { return !(x == y); }
1140  static SIMD_CPPFUNC bool operator!=(const double4x4& x, const double4x4& y) { return !(x == y); }
1141  
1142  static SIMD_CPPFUNC bool almost_equal_elements(const double2x2 x, const double2x2 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1143  static SIMD_CPPFUNC bool almost_equal_elements(const double2x3 x, const double2x3 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1144  static SIMD_CPPFUNC bool almost_equal_elements(const double2x4 x, const double2x4 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1145  static SIMD_CPPFUNC bool almost_equal_elements(const double3x2 x, const double3x2 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1146  static SIMD_CPPFUNC bool almost_equal_elements(const double3x3 x, const double3x3 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1147  static SIMD_CPPFUNC bool almost_equal_elements(const double3x4 x, const double3x4 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1148  static SIMD_CPPFUNC bool almost_equal_elements(const double4x2 x, const double4x2 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1149  static SIMD_CPPFUNC bool almost_equal_elements(const double4x3 x, const double4x3 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1150  static SIMD_CPPFUNC bool almost_equal_elements(const double4x4 x, const double4x4 y, const double tol) { return ::simd_almost_equal_elements(x, y, tol); }
1151  
1152  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double2x2 x, const double2x2 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1153  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double2x3 x, const double2x3 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1154  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double2x4 x, const double2x4 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1155  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double3x2 x, const double3x2 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1156  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double3x3 x, const double3x3 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1157  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double3x4 x, const double3x4 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1158  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double4x2 x, const double4x2 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1159  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double4x3 x, const double4x3 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1160  static SIMD_CPPFUNC bool almost_equal_elements_relative(const double4x4 x, const double4x4 y, const double tol) { return ::simd_almost_equal_elements_relative(x, y, tol); }
1161}
1162
1163extern "C" {
1164#endif /* __cplusplus */
1165
1166#pragma mark - Implementation
1167
1168static  simd_half2x2 SIMD_CFUNC simd_diagonal_matrix(simd_half2  __x) {  simd_half2x2 __r = { .columns[0] = {__x.x,0}, .columns[1] = {0,__x.y} }; return __r; }
1169static  simd_float2x2 SIMD_CFUNC simd_diagonal_matrix(simd_float2  __x) {  simd_float2x2 __r = { .columns[0] = {__x.x,0}, .columns[1] = {0,__x.y} }; return __r; }
1170static simd_double2x2 SIMD_CFUNC simd_diagonal_matrix(simd_double2 __x) { simd_double2x2 __r = { .columns[0] = {__x.x,0}, .columns[1] = {0,__x.y} }; return __r; }
1171static  simd_half3x3 SIMD_CFUNC simd_diagonal_matrix(simd_half3  __x) {  simd_half3x3 __r = { .columns[0] = {__x.x,0,0}, .columns[1] = {0,__x.y,0}, .columns[2] = {0,0,__x.z} }; return __r; }
1172static  simd_float3x3 SIMD_CFUNC simd_diagonal_matrix(simd_float3  __x) {  simd_float3x3 __r = { .columns[0] = {__x.x,0,0}, .columns[1] = {0,__x.y,0}, .columns[2] = {0,0,__x.z} }; return __r; }
1173static simd_double3x3 SIMD_CFUNC simd_diagonal_matrix(simd_double3 __x) { simd_double3x3 __r = { .columns[0] = {__x.x,0,0}, .columns[1] = {0,__x.y,0}, .columns[2] = {0,0,__x.z} }; return __r; }
1174static  simd_half4x4 SIMD_CFUNC simd_diagonal_matrix(simd_half4  __x) {  simd_half4x4 __r = { .columns[0] = {__x.x,0,0,0}, .columns[1] = {0,__x.y,0,0}, .columns[2] = {0,0,__x.z,0}, .columns[3] = {0,0,0,__x.w} }; return __r; }
1175static  simd_float4x4 SIMD_CFUNC simd_diagonal_matrix(simd_float4  __x) {  simd_float4x4 __r = { .columns[0] = {__x.x,0,0,0}, .columns[1] = {0,__x.y,0,0}, .columns[2] = {0,0,__x.z,0}, .columns[3] = {0,0,0,__x.w} }; return __r; }
1176static simd_double4x4 SIMD_CFUNC simd_diagonal_matrix(simd_double4 __x) { simd_double4x4 __r = { .columns[0] = {__x.x,0,0,0}, .columns[1] = {0,__x.y,0,0}, .columns[2] = {0,0,__x.z,0}, .columns[3] = {0,0,0,__x.w} }; return __r; }
1177
1178static  simd_half2x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1) {  simd_half2x2 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1179static  simd_half2x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1) {  simd_half2x3 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1180static  simd_half2x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1) {  simd_half2x4 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1181static  simd_float2x2 SIMD_CFUNC simd_matrix(simd_float2  col0, simd_float2  col1) {  simd_float2x2 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1182static  simd_float2x3 SIMD_CFUNC simd_matrix(simd_float3  col0, simd_float3  col1) {  simd_float2x3 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1183static  simd_float2x4 SIMD_CFUNC simd_matrix(simd_float4  col0, simd_float4  col1) {  simd_float2x4 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1184static simd_double2x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1) { simd_double2x2 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1185static simd_double2x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1) { simd_double2x3 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1186static simd_double2x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1) { simd_double2x4 __r = { .columns[0] = col0, .columns[1] = col1 }; return __r; }
1187static  simd_half3x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1, simd_half2  col2) {  simd_half3x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1188static  simd_half3x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1, simd_half3  col2) {  simd_half3x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1189static  simd_half3x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1, simd_half4  col2) {  simd_half3x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1190static  simd_float3x2 SIMD_CFUNC simd_matrix(simd_float2  col0, simd_float2  col1, simd_float2  col2) {  simd_float3x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1191static  simd_float3x3 SIMD_CFUNC simd_matrix(simd_float3  col0, simd_float3  col1, simd_float3  col2) {  simd_float3x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1192static  simd_float3x4 SIMD_CFUNC simd_matrix(simd_float4  col0, simd_float4  col1, simd_float4  col2) {  simd_float3x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1193static simd_double3x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1, simd_double2 col2) { simd_double3x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1194static simd_double3x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1, simd_double3 col2) { simd_double3x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1195static simd_double3x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1, simd_double4 col2) { simd_double3x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2 }; return __r; }
1196static  simd_half4x2 SIMD_CFUNC simd_matrix(simd_half2  col0, simd_half2  col1, simd_half2  col2, simd_half2  col3) {  simd_half4x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1197static  simd_half4x3 SIMD_CFUNC simd_matrix(simd_half3  col0, simd_half3  col1, simd_half3  col2, simd_half3  col3) {  simd_half4x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1198static  simd_half4x4 SIMD_CFUNC simd_matrix(simd_half4  col0, simd_half4  col1, simd_half4  col2, simd_half4  col3) {  simd_half4x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1199static  simd_float4x2 SIMD_CFUNC simd_matrix(simd_float2  col0, simd_float2  col1, simd_float2  col2, simd_float2  col3) {  simd_float4x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1200static  simd_float4x3 SIMD_CFUNC simd_matrix(simd_float3  col0, simd_float3  col1, simd_float3  col2, simd_float3  col3) {  simd_float4x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1201static  simd_float4x4 SIMD_CFUNC simd_matrix(simd_float4  col0, simd_float4  col1, simd_float4  col2, simd_float4  col3) {  simd_float4x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1202static simd_double4x2 SIMD_CFUNC simd_matrix(simd_double2 col0, simd_double2 col1, simd_double2 col2, simd_double2 col3) { simd_double4x2 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1203static simd_double4x3 SIMD_CFUNC simd_matrix(simd_double3 col0, simd_double3 col1, simd_double3 col2, simd_double3 col3) { simd_double4x3 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1204static simd_double4x4 SIMD_CFUNC simd_matrix(simd_double4 col0, simd_double4 col1, simd_double4 col2, simd_double4 col3) { simd_double4x4 __r = { .columns[0] = col0, .columns[1] = col1, .columns[2] = col2, .columns[3] = col3 }; return __r; }
1205
1206static  simd_half2x2 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1207static  simd_half3x2 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1208static  simd_half4x2 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1209static  simd_float2x2 SIMD_CFUNC simd_matrix_from_rows(simd_float2  row0, simd_float2  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1210static  simd_float3x2 SIMD_CFUNC simd_matrix_from_rows(simd_float3  row0, simd_float3  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1211static  simd_float4x2 SIMD_CFUNC simd_matrix_from_rows(simd_float4  row0, simd_float4  row1) { return simd_transpose(simd_matrix(row0, row1)); }
1212static simd_double2x2 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1) { return simd_transpose(simd_matrix(row0, row1)); }
1213static simd_double3x2 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1) { return simd_transpose(simd_matrix(row0, row1)); }
1214static simd_double4x2 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1) { return simd_transpose(simd_matrix(row0, row1)); }
1215static  simd_half2x3 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1, simd_half2  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1216static  simd_half3x3 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1, simd_half3  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1217static  simd_half4x3 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1, simd_half4  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1218static  simd_float2x3 SIMD_CFUNC simd_matrix_from_rows(simd_float2  row0, simd_float2  row1, simd_float2  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1219static  simd_float3x3 SIMD_CFUNC simd_matrix_from_rows(simd_float3  row0, simd_float3  row1, simd_float3  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1220static  simd_float4x3 SIMD_CFUNC simd_matrix_from_rows(simd_float4  row0, simd_float4  row1, simd_float4  row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1221static simd_double2x3 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1, simd_double2 row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1222static simd_double3x3 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1, simd_double3 row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1223static simd_double4x3 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1, simd_double4 row2) { return simd_transpose(simd_matrix(row0, row1, row2)); }
1224static  simd_half2x4 SIMD_CFUNC simd_matrix_from_rows(simd_half2  row0, simd_half2  row1, simd_half2  row2, simd_half2  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1225static  simd_half3x4 SIMD_CFUNC simd_matrix_from_rows(simd_half3  row0, simd_half3  row1, simd_half3  row2, simd_half3  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1226static  simd_half4x4 SIMD_CFUNC simd_matrix_from_rows(simd_half4  row0, simd_half4  row1, simd_half4  row2, simd_half4  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1227static  simd_float2x4 SIMD_CFUNC simd_matrix_from_rows(simd_float2  row0, simd_float2  row1, simd_float2  row2, simd_float2  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1228static  simd_float3x4 SIMD_CFUNC simd_matrix_from_rows(simd_float3  row0, simd_float3  row1, simd_float3  row2, simd_float3  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1229static  simd_float4x4 SIMD_CFUNC simd_matrix_from_rows(simd_float4  row0, simd_float4  row1, simd_float4  row2, simd_float4  row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1230static simd_double2x4 SIMD_CFUNC simd_matrix_from_rows(simd_double2 row0, simd_double2 row1, simd_double2 row2, simd_double2 row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1231static simd_double3x4 SIMD_CFUNC simd_matrix_from_rows(simd_double3 row0, simd_double3 row1, simd_double3 row2, simd_double3 row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1232static simd_double4x4 SIMD_CFUNC simd_matrix_from_rows(simd_double4 row0, simd_double4 row1, simd_double4 row2, simd_double4 row3) { return simd_transpose(simd_matrix(row0, row1, row2, row3)); }
1233  
1234static  simd_half3x3 SIMD_NOINLINE simd_matrix3x3(simd_quath q) {
1235  simd_half4x4 r = simd_matrix4x4(q);
1236  return (simd_half3x3){ r.columns[0].xyz, r.columns[1].xyz, r.columns[2].xyz };
1237}
1238
1239static  simd_half4x4 SIMD_NOINLINE simd_matrix4x4(simd_quath q) {
1240  simd_half4 v = q.vector;
1241  simd_half4x4 r = {
1242    .columns[0] = { v.x*v.x - v.y*v.y - v.z*v.z + v.w*v.w,
1243                        2*(v.x*v.y + v.z*v.w),
1244                        2*(v.x*v.z - v.y*v.w), 0 },
1245    .columns[1] = {     2*(v.x*v.y - v.z*v.w),
1246                    v.y*v.y - v.z*v.z + v.w*v.w - v.x*v.x,
1247                        2*(v.y*v.z + v.x*v.w), 0 },
1248    .columns[2] = {     2*(v.z*v.x + v.y*v.w),
1249                        2*(v.y*v.z - v.x*v.w),
1250                    v.z*v.z + v.w*v.w - v.x*v.x - v.y*v.y, 0 },
1251    .columns[3] = { 0, 0, 0, 1 }
1252  };
1253  return r;
1254}
1255
1256static  simd_float3x3 SIMD_NOINLINE simd_matrix3x3(simd_quatf q) {
1257  simd_float4x4 r = simd_matrix4x4(q);
1258  return (simd_float3x3){ r.columns[0].xyz, r.columns[1].xyz, r.columns[2].xyz };
1259}
1260
1261static  simd_float4x4 SIMD_NOINLINE simd_matrix4x4(simd_quatf q) {
1262  simd_float4 v = q.vector;
1263  simd_float4x4 r = {
1264    .columns[0] = { v.x*v.x - v.y*v.y - v.z*v.z + v.w*v.w,
1265                        2*(v.x*v.y + v.z*v.w),
1266                        2*(v.x*v.z - v.y*v.w), 0 },
1267    .columns[1] = {     2*(v.x*v.y - v.z*v.w),
1268                    v.y*v.y - v.z*v.z + v.w*v.w - v.x*v.x,
1269                        2*(v.y*v.z + v.x*v.w), 0 },
1270    .columns[2] = {     2*(v.z*v.x + v.y*v.w),
1271                        2*(v.y*v.z - v.x*v.w),
1272                    v.z*v.z + v.w*v.w - v.x*v.x - v.y*v.y, 0 },
1273    .columns[3] = { 0, 0, 0, 1 }
1274  };
1275  return r;
1276}
1277  
1278static simd_double3x3 SIMD_NOINLINE simd_matrix3x3(simd_quatd q) {
1279  simd_double4x4 r = simd_matrix4x4(q);
1280  return (simd_double3x3){ r.columns[0].xyz, r.columns[1].xyz, r.columns[2].xyz };
1281}
1282
1283static simd_double4x4 SIMD_NOINLINE simd_matrix4x4(simd_quatd q) {
1284  simd_double4 v = q.vector;
1285  simd_double4x4 r = {
1286    .columns[0] = { v.x*v.x - v.y*v.y - v.z*v.z + v.w*v.w,
1287                        2*(v.x*v.y + v.z*v.w),
1288                        2*(v.x*v.z - v.y*v.w), 0 },
1289    .columns[1] = {     2*(v.x*v.y - v.z*v.w),
1290                    v.y*v.y - v.z*v.z + v.w*v.w - v.x*v.x,
1291                        2*(v.y*v.z + v.x*v.w), 0 },
1292    .columns[2] = {     2*(v.z*v.x + v.y*v.w),
1293                        2*(v.y*v.z - v.x*v.w),
1294                    v.z*v.z + v.w*v.w - v.x*v.x - v.y*v.y, 0 },
1295    .columns[3] = { 0, 0, 0, 1 }
1296  };
1297  return r;
1298}
1299
1300static   simd_half2x2 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1301static   simd_half3x2 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1302static   simd_half4x2 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1303static   simd_half2x3 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1304static   simd_half3x3 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1305static   simd_half4x3 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1306static   simd_half2x4 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1307static   simd_half3x4 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1308static   simd_half4x4 SIMD_CFUNC matrix_scale(_Float16  __a, simd_half4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1309static  simd_float2x2 SIMD_CFUNC matrix_scale(float  __a,  simd_float2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1310static  simd_float3x2 SIMD_CFUNC matrix_scale(float  __a,  simd_float3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1311static  simd_float4x2 SIMD_CFUNC matrix_scale(float  __a,  simd_float4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1312static  simd_float2x3 SIMD_CFUNC matrix_scale(float  __a,  simd_float2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1313static  simd_float3x3 SIMD_CFUNC matrix_scale(float  __a,  simd_float3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1314static  simd_float4x3 SIMD_CFUNC matrix_scale(float  __a,  simd_float4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1315static  simd_float2x4 SIMD_CFUNC matrix_scale(float  __a,  simd_float2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1316static  simd_float3x4 SIMD_CFUNC matrix_scale(float  __a,  simd_float3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1317static  simd_float4x4 SIMD_CFUNC matrix_scale(float  __a,  simd_float4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1318static simd_double2x2 SIMD_CFUNC matrix_scale(double __a, simd_double2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1319static simd_double3x2 SIMD_CFUNC matrix_scale(double __a, simd_double3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1320static simd_double4x2 SIMD_CFUNC matrix_scale(double __a, simd_double4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1321static simd_double2x3 SIMD_CFUNC matrix_scale(double __a, simd_double2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1322static simd_double3x3 SIMD_CFUNC matrix_scale(double __a, simd_double3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1323static simd_double4x3 SIMD_CFUNC matrix_scale(double __a, simd_double4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1324static simd_double2x4 SIMD_CFUNC matrix_scale(double __a, simd_double2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1325static simd_double3x4 SIMD_CFUNC matrix_scale(double __a, simd_double3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1326static simd_double4x4 SIMD_CFUNC matrix_scale(double __a, simd_double4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1327  
1328static   simd_half2x2 SIMD_CFUNC simd_mul(_Float16  __a, simd_half2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1329static   simd_half3x2 SIMD_CFUNC simd_mul(_Float16  __a, simd_half3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1330static   simd_half4x2 SIMD_CFUNC simd_mul(_Float16  __a, simd_half4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1331static   simd_half2x3 SIMD_CFUNC simd_mul(_Float16  __a, simd_half2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1332static   simd_half3x3 SIMD_CFUNC simd_mul(_Float16  __a, simd_half3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1333static   simd_half4x3 SIMD_CFUNC simd_mul(_Float16  __a, simd_half4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1334static   simd_half2x4 SIMD_CFUNC simd_mul(_Float16  __a, simd_half2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1335static   simd_half3x4 SIMD_CFUNC simd_mul(_Float16  __a, simd_half3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1336static   simd_half4x4 SIMD_CFUNC simd_mul(_Float16  __a, simd_half4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1337static  simd_float2x2 SIMD_CFUNC simd_mul(float  __a,  simd_float2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1338static  simd_float3x2 SIMD_CFUNC simd_mul(float  __a,  simd_float3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1339static  simd_float4x2 SIMD_CFUNC simd_mul(float  __a,  simd_float4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1340static  simd_float2x3 SIMD_CFUNC simd_mul(float  __a,  simd_float2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1341static  simd_float3x3 SIMD_CFUNC simd_mul(float  __a,  simd_float3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1342static  simd_float4x3 SIMD_CFUNC simd_mul(float  __a,  simd_float4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1343static  simd_float2x4 SIMD_CFUNC simd_mul(float  __a,  simd_float2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1344static  simd_float3x4 SIMD_CFUNC simd_mul(float  __a,  simd_float3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1345static  simd_float4x4 SIMD_CFUNC simd_mul(float  __a,  simd_float4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1346static simd_double2x2 SIMD_CFUNC simd_mul(double __a, simd_double2x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1347static simd_double3x2 SIMD_CFUNC simd_mul(double __a, simd_double3x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1348static simd_double4x2 SIMD_CFUNC simd_mul(double __a, simd_double4x2 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1349static simd_double2x3 SIMD_CFUNC simd_mul(double __a, simd_double2x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1350static simd_double3x3 SIMD_CFUNC simd_mul(double __a, simd_double3x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1351static simd_double4x3 SIMD_CFUNC simd_mul(double __a, simd_double4x3 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1352static simd_double2x4 SIMD_CFUNC simd_mul(double __a, simd_double2x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; return __x; }
1353static simd_double3x4 SIMD_CFUNC simd_mul(double __a, simd_double3x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; return __x; }
1354static simd_double4x4 SIMD_CFUNC simd_mul(double __a, simd_double4x4 __x) { __x.columns[0] *= __a; __x.columns[1] *= __a; __x.columns[2] *= __a; __x.columns[3] *= __a; return __x; }
1355
1356static  simd_half2x2 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half2x2 __x, _Float16  __b,  simd_half2x2 __y) {
1357    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1358    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1359    return __x;
1360}
1361static  simd_half3x2 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half3x2 __x, _Float16  __b,  simd_half3x2 __y) {
1362    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1363    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1364    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1365    return __x;
1366}
1367static  simd_half4x2 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half4x2 __x, _Float16  __b,  simd_half4x2 __y) {
1368    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1369    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1370    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1371    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1372    return __x;
1373}
1374static  simd_half2x3 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half2x3 __x, _Float16  __b,  simd_half2x3 __y) {
1375    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1376    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1377    return __x;
1378}
1379static  simd_half3x3 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half3x3 __x, _Float16  __b,  simd_half3x3 __y) {
1380    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1381    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1382    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1383    return __x;
1384}
1385static  simd_half4x3 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half4x3 __x, _Float16  __b,  simd_half4x3 __y) {
1386    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1387    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1388    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1389    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1390    return __x;
1391}
1392static  simd_half2x4 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half2x4 __x, _Float16  __b,  simd_half2x4 __y) {
1393    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1394    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1395    return __x;
1396}
1397static  simd_half3x4 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half3x4 __x, _Float16  __b,  simd_half3x4 __y) {
1398    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1399    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1400    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1401    return __x;
1402}
1403static  simd_half4x4 SIMD_CFUNC simd_linear_combination(_Float16  __a,  simd_half4x4 __x, _Float16  __b,  simd_half4x4 __y) {
1404    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1405    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1406    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1407    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1408    return __x;
1409}
1410static  simd_float2x2 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float2x2 __x, float  __b,  simd_float2x2 __y) {
1411    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1412    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1413    return __x;
1414}
1415static  simd_float3x2 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float3x2 __x, float  __b,  simd_float3x2 __y) {
1416    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1417    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1418    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1419    return __x;
1420}
1421static  simd_float4x2 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float4x2 __x, float  __b,  simd_float4x2 __y) {
1422    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1423    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1424    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1425    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1426    return __x;
1427}
1428static  simd_float2x3 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float2x3 __x, float  __b,  simd_float2x3 __y) {
1429    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1430    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1431    return __x;
1432}
1433static  simd_float3x3 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float3x3 __x, float  __b,  simd_float3x3 __y) {
1434    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1435    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1436    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1437    return __x;
1438}
1439static  simd_float4x3 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float4x3 __x, float  __b,  simd_float4x3 __y) {
1440    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1441    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1442    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1443    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1444    return __x;
1445}
1446static  simd_float2x4 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float2x4 __x, float  __b,  simd_float2x4 __y) {
1447    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1448    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1449    return __x;
1450}
1451static  simd_float3x4 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float3x4 __x, float  __b,  simd_float3x4 __y) {
1452    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1453    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1454    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1455    return __x;
1456}
1457static  simd_float4x4 SIMD_CFUNC simd_linear_combination(float  __a,  simd_float4x4 __x, float  __b,  simd_float4x4 __y) {
1458    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1459    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1460    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1461    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1462    return __x;
1463}
1464static simd_double2x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x2 __x, double __b, simd_double2x2 __y) {
1465    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1466    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1467    return __x;
1468}
1469static simd_double3x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x2 __x, double __b, simd_double3x2 __y) {
1470    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1471    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1472    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1473    return __x;
1474}
1475static simd_double4x2 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x2 __x, double __b, simd_double4x2 __y) {
1476    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1477    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1478    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1479    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1480    return __x;
1481}
1482static simd_double2x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x3 __x, double __b, simd_double2x3 __y) {
1483    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1484    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1485    return __x;
1486}
1487static simd_double3x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x3 __x, double __b, simd_double3x3 __y) {
1488    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1489    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1490    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1491    return __x;
1492}
1493static simd_double4x3 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x3 __x, double __b, simd_double4x3 __y) {
1494    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1495    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1496    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1497    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1498    return __x;
1499}
1500static simd_double2x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double2x4 __x, double __b, simd_double2x4 __y) {
1501    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1502    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1503    return __x;
1504}
1505static simd_double3x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double3x4 __x, double __b, simd_double3x4 __y) {
1506    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1507    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1508    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1509    return __x;
1510}
1511static simd_double4x4 SIMD_CFUNC simd_linear_combination(double __a, simd_double4x4 __x, double __b, simd_double4x4 __y) {
1512    __x.columns[0] = __a*__x.columns[0] + __b*__y.columns[0];
1513    __x.columns[1] = __a*__x.columns[1] + __b*__y.columns[1];
1514    __x.columns[2] = __a*__x.columns[2] + __b*__y.columns[2];
1515    __x.columns[3] = __a*__x.columns[3] + __b*__y.columns[3];
1516    return __x;
1517}
1518  
1519static simd_half2x2 SIMD_CFUNC simd_add(simd_half2x2 __x, simd_half2x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1520static simd_half3x2 SIMD_CFUNC simd_add(simd_half3x2 __x, simd_half3x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1521static simd_half4x2 SIMD_CFUNC simd_add(simd_half4x2 __x, simd_half4x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1522static simd_half2x3 SIMD_CFUNC simd_add(simd_half2x3 __x, simd_half2x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1523static simd_half3x3 SIMD_CFUNC simd_add(simd_half3x3 __x, simd_half3x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1524static simd_half4x3 SIMD_CFUNC simd_add(simd_half4x3 __x, simd_half4x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1525static simd_half2x4 SIMD_CFUNC simd_add(simd_half2x4 __x, simd_half2x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1526static simd_half3x4 SIMD_CFUNC simd_add(simd_half3x4 __x, simd_half3x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1527static simd_half4x4 SIMD_CFUNC simd_add(simd_half4x4 __x, simd_half4x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1528static simd_float2x2 SIMD_CFUNC simd_add(simd_float2x2 __x, simd_float2x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1529static simd_float3x2 SIMD_CFUNC simd_add(simd_float3x2 __x, simd_float3x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1530static simd_float4x2 SIMD_CFUNC simd_add(simd_float4x2 __x, simd_float4x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1531static simd_float2x3 SIMD_CFUNC simd_add(simd_float2x3 __x, simd_float2x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1532static simd_float3x3 SIMD_CFUNC simd_add(simd_float3x3 __x, simd_float3x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1533static simd_float4x3 SIMD_CFUNC simd_add(simd_float4x3 __x, simd_float4x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1534static simd_float2x4 SIMD_CFUNC simd_add(simd_float2x4 __x, simd_float2x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1535static simd_float3x4 SIMD_CFUNC simd_add(simd_float3x4 __x, simd_float3x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1536static simd_float4x4 SIMD_CFUNC simd_add(simd_float4x4 __x, simd_float4x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1537static simd_double2x2 SIMD_CFUNC simd_add(simd_double2x2 __x, simd_double2x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1538static simd_double3x2 SIMD_CFUNC simd_add(simd_double3x2 __x, simd_double3x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1539static simd_double4x2 SIMD_CFUNC simd_add(simd_double4x2 __x, simd_double4x2 __y) { return simd_linear_combination(1, __x, 1, __y); }
1540static simd_double2x3 SIMD_CFUNC simd_add(simd_double2x3 __x, simd_double2x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1541static simd_double3x3 SIMD_CFUNC simd_add(simd_double3x3 __x, simd_double3x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1542static simd_double4x3 SIMD_CFUNC simd_add(simd_double4x3 __x, simd_double4x3 __y) { return simd_linear_combination(1, __x, 1, __y); }
1543static simd_double2x4 SIMD_CFUNC simd_add(simd_double2x4 __x, simd_double2x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1544static simd_double3x4 SIMD_CFUNC simd_add(simd_double3x4 __x, simd_double3x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1545static simd_double4x4 SIMD_CFUNC simd_add(simd_double4x4 __x, simd_double4x4 __y) { return simd_linear_combination(1, __x, 1, __y); }
1546      
1547static simd_half2x2 SIMD_CFUNC simd_sub(simd_half2x2 __x, simd_half2x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1548static simd_half3x2 SIMD_CFUNC simd_sub(simd_half3x2 __x, simd_half3x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1549static simd_half4x2 SIMD_CFUNC simd_sub(simd_half4x2 __x, simd_half4x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1550static simd_half2x3 SIMD_CFUNC simd_sub(simd_half2x3 __x, simd_half2x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1551static simd_half3x3 SIMD_CFUNC simd_sub(simd_half3x3 __x, simd_half3x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1552static simd_half4x3 SIMD_CFUNC simd_sub(simd_half4x3 __x, simd_half4x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1553static simd_half2x4 SIMD_CFUNC simd_sub(simd_half2x4 __x, simd_half2x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1554static simd_half3x4 SIMD_CFUNC simd_sub(simd_half3x4 __x, simd_half3x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1555static simd_half4x4 SIMD_CFUNC simd_sub(simd_half4x4 __x, simd_half4x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1556static simd_float2x2 SIMD_CFUNC simd_sub(simd_float2x2 __x, simd_float2x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1557static simd_float3x2 SIMD_CFUNC simd_sub(simd_float3x2 __x, simd_float3x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1558static simd_float4x2 SIMD_CFUNC simd_sub(simd_float4x2 __x, simd_float4x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1559static simd_float2x3 SIMD_CFUNC simd_sub(simd_float2x3 __x, simd_float2x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1560static simd_float3x3 SIMD_CFUNC simd_sub(simd_float3x3 __x, simd_float3x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1561static simd_float4x3 SIMD_CFUNC simd_sub(simd_float4x3 __x, simd_float4x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1562static simd_float2x4 SIMD_CFUNC simd_sub(simd_float2x4 __x, simd_float2x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1563static simd_float3x4 SIMD_CFUNC simd_sub(simd_float3x4 __x, simd_float3x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1564static simd_float4x4 SIMD_CFUNC simd_sub(simd_float4x4 __x, simd_float4x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1565static simd_double2x2 SIMD_CFUNC simd_sub(simd_double2x2 __x, simd_double2x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1566static simd_double3x2 SIMD_CFUNC simd_sub(simd_double3x2 __x, simd_double3x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1567static simd_double4x2 SIMD_CFUNC simd_sub(simd_double4x2 __x, simd_double4x2 __y) { return simd_linear_combination(1, __x, -1, __y); }
1568static simd_double2x3 SIMD_CFUNC simd_sub(simd_double2x3 __x, simd_double2x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1569static simd_double3x3 SIMD_CFUNC simd_sub(simd_double3x3 __x, simd_double3x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1570static simd_double4x3 SIMD_CFUNC simd_sub(simd_double4x3 __x, simd_double4x3 __y) { return simd_linear_combination(1, __x, -1, __y); }
1571static simd_double2x4 SIMD_CFUNC simd_sub(simd_double2x4 __x, simd_double2x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1572static simd_double3x4 SIMD_CFUNC simd_sub(simd_double3x4 __x, simd_double3x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1573static simd_double4x4 SIMD_CFUNC simd_sub(simd_double4x4 __x, simd_double4x4 __y) { return simd_linear_combination(1, __x, -1, __y); }
1574
1575static simd_half2x2 SIMD_CFUNC simd_transpose(simd_half2x2 __x) {
1576    simd_half4 __x0, __x1;
1577    __x0.xy = __x.columns[0];
1578    __x1.xy = __x.columns[1];
1579    simd_half4 __r01 = { __x0[0], __x1[0], __x0[1], __x1[1] };
1580    return simd_matrix(__r01.lo, __r01.hi);
1581}
1582
1583static simd_half3x2 SIMD_CFUNC simd_transpose(simd_half2x3 __x) {
1584    simd_half4 __x0, __x1;
1585    __x0.xyz = __x.columns[0];
1586    __x1.xyz = __x.columns[1];
1587#if defined __arm64e__
1588    simd_half4 __r01 = vzip1_f16(__x0, __x1);
1589    simd_half4 __r2x = vzip2_f16(__x0, __x1);
1590#else
1591    simd_half4 __r01 = { __x0[0], __x1[0], __x0[1], __x1[1] };
1592    simd_half4 __r2x = { __x0[2], __x1[2] };
1593#endif
1594    return simd_matrix(__r01.lo, __r01.hi, __r2x.lo);
1595}
1596
1597static simd_half4x2 SIMD_CFUNC simd_transpose(simd_half2x4 __x) {
1598#if defined __arm64e__
1599    simd_half4 __r01 = vzip1_f16(__x.columns[0], __x.columns[1]);
1600    simd_half4 __r23 = vzip2_f16(__x.columns[0], __x.columns[1]);
1601#else
1602    simd_half4 __r01 = { __x.columns[0][0], __x.columns[1][0], __x.columns[0][1], __x.columns[1][1] };
1603    simd_half4 __r23 = { __x.columns[0][2], __x.columns[1][2], __x.columns[0][3], __x.columns[1][3] };
1604#endif
1605    return simd_matrix(__r01.lo, __r01.hi, __r23.lo, __r23.hi);
1606}
1607
1608static simd_half2x3 SIMD_CFUNC simd_transpose(simd_half3x2 __x) {
1609    simd_half4 __x0, __x1, __x2;
1610    __x0.xy = __x.columns[0];
1611    __x1.xy = __x.columns[1];
1612    __x2.xy = __x.columns[2];
1613#if defined __arm64e__
1614    simd_half4 padding = { 0 };
1615    simd_half4 __t0 = vzip1_f16(__x0,__x2);
1616    simd_half4 __t1 = vzip1_f16(__x1,padding);
1617    simd_half4 __r0 = vzip1_f16(__t0,__t1);
1618    simd_half4 __r1 = vzip2_f16(__t0,__t1);
1619#else
1620    simd_half4 __r0 = { __x0[0], __x1[0], __x2[0] };
1621    simd_half4 __r1 = { __x0[1], __x1[1], __x2[1] };
1622#endif
1623    return simd_matrix(__r0.xyz, __r1.xyz);
1624}
1625
1626static simd_half3x3 SIMD_CFUNC simd_transpose(simd_half3x3 __x) {
1627    simd_half4 __x0, __x1, __x2;
1628    __x0.xyz = __x.columns[0];
1629    __x1.xyz = __x.columns[1];
1630    __x2.xyz = __x.columns[2];
1631#if defined __arm64e__
1632    simd_half4 padding = { 0 };
1633    simd_half4 __t0 = vzip1_f16(__x0,__x2);
1634    simd_half4 __t1 = vzip2_f16(__x0,__x2);
1635    simd_half4 __t2 = vzip1_f16(__x1,padding);
1636    simd_half4 __t3 = vzip2_f16(__x1,padding);
1637    simd_half4 __r0 = vzip1_f16(__t0,__t2);
1638    simd_half4 __r1 = vzip2_f16(__t0,__t2);
1639    simd_half4 __r2 = vzip1_f16(__t1,__t3);
1640#else
1641    simd_half4 __r0 = {__x0[0], __x1[0], __x2[0]};
1642    simd_half4 __r1 = {__x0[1], __x1[1], __x2[1]};
1643    simd_half4 __r2 = {__x0[2], __x1[2], __x2[2]};
1644#endif
1645    return simd_matrix(__r0.xyz, __r1.xyz, __r2.xyz);
1646}
1647
1648static simd_half4x3 SIMD_CFUNC simd_transpose(simd_half3x4 __x) {
1649#if defined __arm64e__
1650    simd_half4 padding = { 0 };
1651    simd_half4 __t0 = vzip1_f16(__x.columns[0],__x.columns[2]);
1652    simd_half4 __t1 = vzip2_f16(__x.columns[0],__x.columns[2]);
1653    simd_half4 __t2 = vzip1_f16(__x.columns[1],padding);
1654    simd_half4 __t3 = vzip2_f16(__x.columns[1],padding);
1655    simd_half4 __r0 = vzip1_f16(__t0,__t2);
1656    simd_half4 __r1 = vzip2_f16(__t0,__t2);
1657    simd_half4 __r2 = vzip1_f16(__t1,__t3);
1658    simd_half4 __r3 = vzip2_f16(__t1,__t3);
1659#else
1660    simd_half4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0]};
1661    simd_half4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1]};
1662    simd_half4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2]};
1663    simd_half4 __r3 = {__x.columns[0][3], __x.columns[1][3], __x.columns[2][3]};
1664#endif
1665    return simd_matrix(__r0.xyz, __r1.xyz, __r2.xyz, __r3.xyz);
1666}
1667
1668static simd_half2x4 SIMD_CFUNC simd_transpose(simd_half4x2 __x) {
1669    simd_half4 __x0, __x1, __x2, __x3;
1670    __x0.xy = __x.columns[0];
1671    __x1.xy = __x.columns[1];
1672    __x2.xy = __x.columns[2];
1673    __x3.xy = __x.columns[3];
1674#if defined __arm64e__
1675    simd_half4 __t0 = vzip1_f16(__x0,__x2);
1676    simd_half4 __t1 = vzip1_f16(__x1,__x3);
1677    simd_half4 __r0 = vzip1_f16(__t0,__t1);
1678    simd_half4 __r1 = vzip2_f16(__t0,__t1);
1679#else
1680    simd_half4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1681    simd_half4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1682#endif
1683    return simd_matrix(__r0,__r1);
1684}
1685
1686static simd_half3x4 SIMD_CFUNC simd_transpose(simd_half4x3 __x) {
1687    simd_half4 __x0, __x1, __x2, __x3;
1688    __x0.xyz = __x.columns[0];
1689    __x1.xyz = __x.columns[1];
1690    __x2.xyz = __x.columns[2];
1691    __x3.xyz = __x.columns[3];
1692#if defined __arm64e__
1693    simd_half4 __t0 = vzip1_f16(__x0,__x2);
1694    simd_half4 __t1 = vzip2_f16(__x0,__x2);
1695    simd_half4 __t2 = vzip1_f16(__x1,__x3);
1696    simd_half4 __t3 = vzip2_f16(__x1,__x3);
1697    simd_half4 __r0 = vzip1_f16(__t0,__t2);
1698    simd_half4 __r1 = vzip2_f16(__t0,__t2);
1699    simd_half4 __r2 = vzip1_f16(__t1,__t3);
1700#else
1701    simd_half4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1702    simd_half4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1703    simd_half4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2], __x.columns[3][2]};
1704#endif
1705    return simd_matrix(__r0,__r1,__r2);
1706}
1707
1708static simd_half4x4 SIMD_CFUNC simd_transpose(simd_half4x4 __x) {
1709#if defined __arm64e__
1710    simd_half4 __t0 = vzip1_f16(__x.columns[0],__x.columns[2]);
1711    simd_half4 __t1 = vzip2_f16(__x.columns[0],__x.columns[2]);
1712    simd_half4 __t2 = vzip1_f16(__x.columns[1],__x.columns[3]);
1713    simd_half4 __t3 = vzip2_f16(__x.columns[1],__x.columns[3]);
1714    simd_half4 __r0 = vzip1_f16(__t0,__t2);
1715    simd_half4 __r1 = vzip2_f16(__t0,__t2);
1716    simd_half4 __r2 = vzip1_f16(__t1,__t3);
1717    simd_half4 __r3 = vzip2_f16(__t1,__t3);
1718#else
1719    simd_half4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1720    simd_half4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1721    simd_half4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2], __x.columns[3][2]};
1722    simd_half4 __r3 = {__x.columns[0][3], __x.columns[1][3], __x.columns[2][3], __x.columns[3][3]};
1723#endif
1724    return simd_matrix(__r0,__r1,__r2,__r3);
1725}
1726
1727static simd_float2x2 SIMD_CFUNC simd_transpose(simd_float2x2 __x) {
1728    simd_float4 __x0, __x1;
1729    __x0.xy = __x.columns[0];
1730    __x1.xy = __x.columns[1];
1731#if defined __SSE__
1732    simd_float4 __r01 = _mm_unpacklo_ps(__x0, __x1);
1733#elif defined __ARM_NEON__ && defined __arm64__
1734    simd_float4 __r01 = vzip1q_f32(__x0, __x1);
1735#else
1736    simd_float4 __r01 = { __x0[0], __x1[0], __x0[1], __x1[1] };
1737#endif
1738    return simd_matrix(__r01.lo, __r01.hi);
1739}
1740    
1741static simd_float3x2 SIMD_CFUNC simd_transpose(simd_float2x3 __x) {
1742    simd_float4 __x0, __x1;
1743    __x0.xyz = __x.columns[0];
1744    __x1.xyz = __x.columns[1];
1745#if defined __SSE__
1746    simd_float4 __r01 = _mm_unpacklo_ps(__x0, __x1);
1747    simd_float4 __r2x = _mm_unpackhi_ps(__x0, __x1);
1748#elif defined __ARM_NEON__ && defined __arm64__
1749    simd_float4 __r01 = vzip1q_f32(__x0, __x1);
1750    simd_float4 __r2x = vzip2q_f32(__x0, __x1);
1751#else
1752    simd_float4 __r01 = { __x0[0], __x1[0], __x0[1], __x1[1] };
1753    simd_float4 __r2x = { __x0[2], __x1[2] };
1754#endif
1755    return simd_matrix(__r01.lo, __r01.hi, __r2x.lo);
1756}
1757    
1758static simd_float4x2 SIMD_CFUNC simd_transpose(simd_float2x4 __x) {
1759#if defined __SSE__
1760    simd_float4 __r01 = _mm_unpacklo_ps(__x.columns[0], __x.columns[1]);
1761    simd_float4 __r23 = _mm_unpackhi_ps(__x.columns[0], __x.columns[1]);
1762#elif defined __ARM_NEON__ && defined __arm64__
1763    simd_float4 __r01 = vzip1q_f32(__x.columns[0], __x.columns[1]);
1764    simd_float4 __r23 = vzip2q_f32(__x.columns[0], __x.columns[1]);
1765#else
1766    simd_float4 __r01 = { __x.columns[0][0], __x.columns[1][0], __x.columns[0][1], __x.columns[1][1] };
1767    simd_float4 __r23 = { __x.columns[0][2], __x.columns[1][2], __x.columns[0][3], __x.columns[1][3] };
1768#endif
1769    return simd_matrix(__r01.lo, __r01.hi, __r23.lo, __r23.hi);
1770}
1771    
1772static simd_float2x3 SIMD_CFUNC simd_transpose(simd_float3x2 __x) {
1773    simd_float4 __x0, __x1, __x2;
1774    __x0.xy = __x.columns[0];
1775    __x1.xy = __x.columns[1];
1776    __x2.xy = __x.columns[2];
1777#if defined __SSE__
1778    simd_float4 __t = _mm_unpacklo_ps(__x0, __x1);
1779    simd_float4 __r0 = _mm_shuffle_ps(__t,__x2,0xc4);
1780    simd_float4 __r1 = _mm_shuffle_ps(__t,__x2,0xde);
1781#elif defined __ARM_NEON__ && defined __arm64__
1782    simd_float4 padding = { 0 };
1783    simd_float4 __t0 = vzip1q_f32(__x0,__x2);
1784    simd_float4 __t1 = vzip1q_f32(__x1,padding);
1785    simd_float4 __r0 = vzip1q_f32(__t0,__t1);
1786    simd_float4 __r1 = vzip2q_f32(__t0,__t1);
1787#else
1788    simd_float4 __r0 = { __x0[0], __x1[0], __x2[0] };
1789    simd_float4 __r1 = { __x0[1], __x1[1], __x2[1] };
1790#endif
1791    return simd_matrix(__r0.xyz, __r1.xyz);
1792}
1793    
1794static simd_float3x3 SIMD_CFUNC simd_transpose(simd_float3x3 __x) {
1795    simd_float4 __x0, __x1, __x2;
1796    __x0.xyz = __x.columns[0];
1797    __x1.xyz = __x.columns[1];
1798    __x2.xyz = __x.columns[2];
1799#if defined __SSE__
1800    simd_float4 __t0 = _mm_unpacklo_ps(__x0, __x1);
1801    simd_float4 __t1 = _mm_unpackhi_ps(__x0, __x1);
1802    simd_float4 __r0 = __t0; __r0.hi = __x2.lo;
1803    simd_float4 __r1 = _mm_shuffle_ps(__t0, __x2, 0xde);
1804    simd_float4 __r2 = __x2; __r2.lo = __t1.lo;
1805#elif defined __ARM_NEON__ && defined __arm64__
1806    simd_float4 padding = { 0 };
1807    simd_float4 __t0 = vzip1q_f32(__x0,__x2);
1808    simd_float4 __t1 = vzip2q_f32(__x0,__x2);
1809    simd_float4 __t2 = vzip1q_f32(__x1,padding);
1810    simd_float4 __t3 = vzip2q_f32(__x1,padding);
1811    simd_float4 __r0 = vzip1q_f32(__t0,__t2);
1812    simd_float4 __r1 = vzip2q_f32(__t0,__t2);
1813    simd_float4 __r2 = vzip1q_f32(__t1,__t3);
1814#else
1815    simd_float4 __r0 = {__x0[0], __x1[0], __x2[0]};
1816    simd_float4 __r1 = {__x0[1], __x1[1], __x2[1]};
1817    simd_float4 __r2 = {__x0[2], __x1[2], __x2[2]};
1818#endif
1819    return simd_matrix(__r0.xyz, __r1.xyz, __r2.xyz);
1820}
1821    
1822static simd_float4x3 SIMD_CFUNC simd_transpose(simd_float3x4 __x) {
1823#if defined __SSE__
1824    simd_float4 __t0 = _mm_unpacklo_ps(__x.columns[0],__x.columns[1]); /* 00 10 01 11 */
1825    simd_float4 __t1 = _mm_unpackhi_ps(__x.columns[0],__x.columns[1]); /* 02 12 03 13 */
1826    simd_float4 __r0 = __t0; __r0.hi = __x.columns[2].lo;
1827    simd_float4 __r1 = _mm_shuffle_ps(__t0, __x.columns[2], 0xde);
1828    simd_float4 __r2 = __x.columns[2]; __r2.lo = __t1.lo;
1829    simd_float4 __r3 = _mm_shuffle_ps(__t1, __x.columns[2], 0xfe);
1830#elif defined __ARM_NEON__ && defined __arm64__
1831    simd_float4 padding = { 0 };
1832    simd_float4 __t0 = vzip1q_f32(__x.columns[0],__x.columns[2]);
1833    simd_float4 __t1 = vzip2q_f32(__x.columns[0],__x.columns[2]);
1834    simd_float4 __t2 = vzip1q_f32(__x.columns[1],padding);
1835    simd_float4 __t3 = vzip2q_f32(__x.columns[1],padding);
1836    simd_float4 __r0 = vzip1q_f32(__t0,__t2);
1837    simd_float4 __r1 = vzip2q_f32(__t0,__t2);
1838    simd_float4 __r2 = vzip1q_f32(__t1,__t3);
1839    simd_float4 __r3 = vzip2q_f32(__t1,__t3);
1840#else
1841    simd_float4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0]};
1842    simd_float4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1]};
1843    simd_float4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2]};
1844    simd_float4 __r3 = {__x.columns[0][3], __x.columns[1][3], __x.columns[2][3]};
1845#endif
1846    return simd_matrix(__r0.xyz, __r1.xyz, __r2.xyz, __r3.xyz);
1847}
1848
1849static simd_float2x4 SIMD_CFUNC simd_transpose(simd_float4x2 __x) {
1850    simd_float4 __x0, __x1, __x2, __x3;
1851    __x0.xy = __x.columns[0];
1852    __x1.xy = __x.columns[1];
1853    __x2.xy = __x.columns[2];
1854    __x3.xy = __x.columns[3];
1855#if defined __SSE__
1856    simd_float4 __t0 = _mm_unpacklo_ps(__x0,__x2);
1857    simd_float4 __t1 = _mm_unpacklo_ps(__x1,__x3);
1858    simd_float4 __r0 = _mm_unpacklo_ps(__t0,__t1);
1859    simd_float4 __r1 = _mm_unpackhi_ps(__t0,__t1);
1860#elif defined __ARM_NEON__ && defined __arm64__
1861    simd_float4 __t0 = vzip1q_f32(__x0,__x2);
1862    simd_float4 __t1 = vzip1q_f32(__x1,__x3);
1863    simd_float4 __r0 = vzip1q_f32(__t0,__t1);
1864    simd_float4 __r1 = vzip2q_f32(__t0,__t1);
1865#else
1866    simd_float4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1867    simd_float4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1868#endif
1869    return simd_matrix(__r0,__r1);
1870}
1871
1872static simd_float3x4 SIMD_CFUNC simd_transpose(simd_float4x3 __x) {
1873    simd_float4 __x0, __x1, __x2, __x3;
1874    __x0.xyz = __x.columns[0];
1875    __x1.xyz = __x.columns[1];
1876    __x2.xyz = __x.columns[2];
1877    __x3.xyz = __x.columns[3];
1878#if defined __SSE__
1879    simd_float4 __t0 = _mm_unpacklo_ps(__x0,__x2);
1880    simd_float4 __t1 = _mm_unpackhi_ps(__x0,__x2);
1881    simd_float4 __t2 = _mm_unpacklo_ps(__x1,__x3);
1882    simd_float4 __t3 = _mm_unpackhi_ps(__x1,__x3);
1883    simd_float4 __r0 = _mm_unpacklo_ps(__t0,__t2);
1884    simd_float4 __r1 = _mm_unpackhi_ps(__t0,__t2);
1885    simd_float4 __r2 = _mm_unpacklo_ps(__t1,__t3);
1886#elif defined __ARM_NEON__ && defined __arm64__
1887    simd_float4 __t0 = vzip1q_f32(__x0,__x2);
1888    simd_float4 __t1 = vzip2q_f32(__x0,__x2);
1889    simd_float4 __t2 = vzip1q_f32(__x1,__x3);
1890    simd_float4 __t3 = vzip2q_f32(__x1,__x3);
1891    simd_float4 __r0 = vzip1q_f32(__t0,__t2);
1892    simd_float4 __r1 = vzip2q_f32(__t0,__t2);
1893    simd_float4 __r2 = vzip1q_f32(__t1,__t3);
1894#else
1895    simd_float4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1896    simd_float4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1897    simd_float4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2], __x.columns[3][2]};
1898#endif
1899    return simd_matrix(__r0,__r1,__r2);
1900}
1901
1902static simd_float4x4 SIMD_CFUNC simd_transpose(simd_float4x4 __x) {
1903#if defined __SSE__
1904    simd_float4 __t0 = _mm_unpacklo_ps(__x.columns[0],__x.columns[2]);
1905    simd_float4 __t1 = _mm_unpackhi_ps(__x.columns[0],__x.columns[2]);
1906    simd_float4 __t2 = _mm_unpacklo_ps(__x.columns[1],__x.columns[3]);
1907    simd_float4 __t3 = _mm_unpackhi_ps(__x.columns[1],__x.columns[3]);
1908    simd_float4 __r0 = _mm_unpacklo_ps(__t0,__t2);
1909    simd_float4 __r1 = _mm_unpackhi_ps(__t0,__t2);
1910    simd_float4 __r2 = _mm_unpacklo_ps(__t1,__t3);
1911    simd_float4 __r3 = _mm_unpackhi_ps(__t1,__t3);
1912#elif defined __ARM_NEON__ && defined __arm64__
1913    simd_float4 __t0 = vzip1q_f32(__x.columns[0],__x.columns[2]);
1914    simd_float4 __t1 = vzip2q_f32(__x.columns[0],__x.columns[2]);
1915    simd_float4 __t2 = vzip1q_f32(__x.columns[1],__x.columns[3]);
1916    simd_float4 __t3 = vzip2q_f32(__x.columns[1],__x.columns[3]);
1917    simd_float4 __r0 = vzip1q_f32(__t0,__t2);
1918    simd_float4 __r1 = vzip2q_f32(__t0,__t2);
1919    simd_float4 __r2 = vzip1q_f32(__t1,__t3);
1920    simd_float4 __r3 = vzip2q_f32(__t1,__t3);
1921#else
1922    simd_float4 __r0 = {__x.columns[0][0], __x.columns[1][0], __x.columns[2][0], __x.columns[3][0]};
1923    simd_float4 __r1 = {__x.columns[0][1], __x.columns[1][1], __x.columns[2][1], __x.columns[3][1]};
1924    simd_float4 __r2 = {__x.columns[0][2], __x.columns[1][2], __x.columns[2][2], __x.columns[3][2]};
1925    simd_float4 __r3 = {__x.columns[0][3], __x.columns[1][3], __x.columns[2][3], __x.columns[3][3]};
1926#endif
1927    return simd_matrix(__r0,__r1,__r2,__r3);
1928}
1929
1930static simd_double2x2 SIMD_CFUNC simd_transpose(simd_double2x2 __x) {
1931    simd_double2 __x0, __x1;
1932    __x0 = __x.columns[0];
1933    __x1 = __x.columns[1];
1934#if defined __ARM_NEON__ && defined __arm64__
1935    simd_double2 __r0 = vzip1q_f64(__x0, __x1);
1936    simd_double2 __r1 = vzip2q_f64(__x0, __x1);
1937#else
1938    simd_double2 __r0 = { __x0[0], __x1[0] };
1939    simd_double2 __r1 = { __x0[1], __x1[1] };
1940#endif
1941    return simd_matrix(__r0, __r1);
1942}
1943
1944static simd_double3x2 SIMD_CFUNC simd_transpose(simd_double2x3 __x) {
1945    simd_double4 __x0, __x1;
1946    __x0.xyz = __x.columns[0];
1947    __x1.xyz = __x.columns[1];
1948#if defined __ARM_NEON__ && defined __arm64__
1949    simd_double2 __r0 = vzip1q_f64(__x0.lo,__x1.lo);
1950    simd_double2 __r1 = vzip2q_f64(__x0.lo,__x1.lo);
1951    simd_double2 __r2 = vzip1q_f64(__x0.hi,__x1.hi);
1952#else
1953    simd_double2 __r0 = {__x0[0], __x1[0]};
1954    simd_double2 __r1 = {__x0[1], __x1[1]};
1955    simd_double2 __r2 = {__x0[2], __x1[2]};
1956#endif
1957    return simd_matrix(__r0,__r1,__r2);
1958}
1959
1960static simd_double4x2 SIMD_CFUNC simd_transpose(simd_double2x4 __x) {
1961    simd_double4 __x0, __x1;
1962    __x0 = __x.columns[0];
1963    __x1 = __x.columns[1];
1964#if defined __ARM_NEON__ && defined __arm64__
1965    simd_double2 __r0 = vzip1q_f64(__x0.lo,__x1.lo);
1966    simd_double2 __r1 = vzip2q_f64(__x0.lo,__x1.lo);
1967    simd_double2 __r2 = vzip1q_f64(__x0.hi,__x1.hi);
1968    simd_double2 __r3 = vzip2q_f64(__x0.hi,__x1.hi);
1969#else
1970    simd_double2 __r0 = {__x0[0], __x1[0]};
1971    simd_double2 __r1 = {__x0[1], __x1[1]};
1972    simd_double2 __r2 = {__x0[2], __x1[2]};
1973    simd_double2 __r3 = {__x0[3], __x1[3]};
1974#endif
1975    return simd_matrix(__r0,__r1,__r2,__r3);
1976}
1977
1978static simd_double2x3 SIMD_CFUNC simd_transpose(simd_double3x2 __x) {
1979    simd_double2 __x0, __x1, __x2;
1980    __x0 = __x.columns[0];
1981    __x1 = __x.columns[1];
1982    __x2 = __x.columns[2];
1983#if defined __ARM_NEON__ && defined __arm64__
1984    simd_double2 padding = { 0 };
1985    simd_double4 __r0,__r1;
1986    __r0.lo = vzip1q_f64(__x0,__x1);
1987    __r1.lo = vzip2q_f64(__x0,__x1);
1988    __r0.hi = vzip1q_f64(__x2,padding);
1989    __r1.hi = vzip2q_f64(__x2,padding);
1990#else
1991    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0]};
1992    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1]};
1993#endif
1994    return simd_matrix(__r0.xyz,__r1.xyz);
1995}
1996
1997static simd_double3x3 SIMD_CFUNC simd_transpose(simd_double3x3 __x) {
1998    simd_double4 __x0, __x1, __x2;
1999    __x0.xyz = __x.columns[0];
2000    __x1.xyz = __x.columns[1];
2001    __x2.xyz = __x.columns[2];
2002#if defined __ARM_NEON__ && defined __arm64__
2003    simd_double2 padding = { 0 };
2004    simd_double4 __r0,__r1,__r2;
2005    __r0.lo = vzip1q_f64(__x0.lo,__x1.lo);
2006    __r1.lo = vzip2q_f64(__x0.lo,__x1.lo);
2007    __r2.lo = vzip1q_f64(__x0.hi,__x1.hi);
2008    __r0.hi = vzip1q_f64(__x2.lo,padding);
2009    __r1.hi = vzip2q_f64(__x2.lo,padding);
2010    __r2.hi = vzip1q_f64(__x2.hi,padding);
2011#else
2012    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0]};
2013    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1]};
2014    simd_double4 __r2 = {__x0[2], __x1[2], __x2[2]};
2015#endif
2016    return simd_matrix(__r0.xyz,__r1.xyz,__r2.xyz);
2017}
2018
2019static simd_double4x3 SIMD_CFUNC simd_transpose(simd_double3x4 __x) {
2020    simd_double4 __x0, __x1, __x2;
2021    __x0 = __x.columns[0];
2022    __x1 = __x.columns[1];
2023    __x2 = __x.columns[2];
2024#if defined __ARM_NEON__ && defined __arm64__
2025    simd_double2 padding = { 0 };
2026    simd_double4 __r0,__r1,__r2,__r3;
2027    __r0.lo = vzip1q_f64(__x0.lo,__x1.lo);
2028    __r1.lo = vzip2q_f64(__x0.lo,__x1.lo);
2029    __r2.lo = vzip1q_f64(__x0.hi,__x1.hi);
2030    __r3.lo = vzip2q_f64(__x0.hi,__x1.hi);
2031    __r0.hi = vzip1q_f64(__x2.lo,padding);
2032    __r1.hi = vzip2q_f64(__x2.lo,padding);
2033    __r2.hi = vzip1q_f64(__x2.hi,padding);
2034    __r3.hi = vzip2q_f64(__x2.hi,padding);
2035#else
2036    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0]};
2037    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1]};
2038    simd_double4 __r2 = {__x0[2], __x1[2], __x2[2]};
2039    simd_double4 __r3 = {__x0[3], __x1[3], __x2[3]};
2040#endif
2041    return simd_matrix(__r0.xyz,__r1.xyz,__r2.xyz,__r3.xyz);
2042}
2043
2044static simd_double2x4 SIMD_CFUNC simd_transpose(simd_double4x2 __x) {
2045    simd_double2 __x0, __x1, __x2, __x3;
2046    __x0 = __x.columns[0];
2047    __x1 = __x.columns[1];
2048    __x2 = __x.columns[2];
2049    __x3 = __x.columns[3];
2050#if defined __ARM_NEON__ && defined __arm64__
2051    simd_double4 __r0,__r1;
2052    __r0.lo = vzip1q_f64(__x0,__x1);
2053    __r1.lo = vzip2q_f64(__x0,__x1);
2054    __r0.hi = vzip1q_f64(__x2,__x3);
2055    __r1.hi = vzip2q_f64(__x2,__x3);
2056#else
2057    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0], __x3[0]};
2058    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1], __x3[1]};
2059#endif
2060    return simd_matrix(__r0,__r1);
2061}
2062
2063static simd_double3x4 SIMD_CFUNC simd_transpose(simd_double4x3 __x) {
2064    simd_double4 __x0, __x1, __x2, __x3;
2065    __x0.xyz = __x.columns[0];
2066    __x1.xyz = __x.columns[1];
2067    __x2.xyz = __x.columns[2];
2068    __x3.xyz = __x.columns[3];
2069#if defined __ARM_NEON__ && defined __arm64__
2070    simd_double4 __r0,__r1,__r2;
2071    __r0.lo = vzip1q_f64(__x0.lo,__x1.lo);
2072    __r1.lo = vzip2q_f64(__x0.lo,__x1.lo);
2073    __r2.lo = vzip1q_f64(__x0.hi,__x1.hi);
2074    __r0.hi = vzip1q_f64(__x2.lo,__x3.lo);
2075    __r1.hi = vzip2q_f64(__x2.lo,__x3.lo);
2076    __r2.hi = vzip1q_f64(__x2.hi,__x3.hi);
2077#else
2078    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0], __x3[0]};
2079    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1], __x3[1]};
2080    simd_double4 __r2 = {__x0[2], __x1[2], __x2[2], __x3[2]};
2081#endif
2082    return simd_matrix(__r0,__r1,__r2);
2083}
2084
2085static simd_double4x4 SIMD_CFUNC simd_transpose(simd_double4x4 __x) {
2086    simd_double4 __x0, __x1, __x2, __x3;
2087    __x0 = __x.columns[0];
2088    __x1 = __x.columns[1];
2089    __x2 = __x.columns[2];
2090    __x3 = __x.columns[3];
2091#if defined __ARM_NEON__ && defined __arm64__
2092    simd_double4 __r0,__r1,__r2,__r3;
2093    __r0.lo = vzip1q_f64(__x0.lo,__x1.lo);
2094    __r1.lo = vzip2q_f64(__x0.lo,__x1.lo);
2095    __r2.lo = vzip1q_f64(__x0.hi,__x1.hi);
2096    __r3.lo = vzip2q_f64(__x0.hi,__x1.hi);
2097    __r0.hi = vzip1q_f64(__x2.lo,__x3.lo);
2098    __r1.hi = vzip2q_f64(__x2.lo,__x3.lo);
2099    __r2.hi = vzip1q_f64(__x2.hi,__x3.hi);
2100    __r3.hi = vzip2q_f64(__x2.hi,__x3.hi);
2101#else
2102    simd_double4 __r0 = {__x0[0], __x1[0], __x2[0], __x3[0]};
2103    simd_double4 __r1 = {__x0[1], __x1[1], __x2[1], __x3[1]};
2104    simd_double4 __r2 = {__x0[2], __x1[2], __x2[2], __x3[2]};
2105    simd_double4 __r3 = {__x0[3], __x1[3], __x2[3], __x3[3]};
2106#endif
2107    return simd_matrix(__r0,__r1,__r2,__r3);
2108}
2109
2110static  simd_half3  SIMD_CFUNC __rotate1(  simd_half3 __x) { return __builtin_shufflevector(__x,__x,1,2,0); }
2111static  simd_half3  SIMD_CFUNC __rotate2(  simd_half3 __x) { return __builtin_shufflevector(__x,__x,2,0,1); }
2112static  simd_half4  SIMD_CFUNC __rotate1(  simd_half4 __x) { return __builtin_shufflevector(__x,__x,1,2,3,0); }
2113static  simd_half4  SIMD_CFUNC __rotate2(  simd_half4 __x) { return __builtin_shufflevector(__x,__x,2,3,0,1); }
2114static  simd_half4  SIMD_CFUNC __rotate3(  simd_half4 __x) { return __builtin_shufflevector(__x,__x,3,0,1,2); }
2115static  simd_float3 SIMD_CFUNC __rotate1( simd_float3 __x) { return __builtin_shufflevector(__x,__x,1,2,0); }
2116static  simd_float3 SIMD_CFUNC __rotate2( simd_float3 __x) { return __builtin_shufflevector(__x,__x,2,0,1); }
2117static  simd_float4 SIMD_CFUNC __rotate1( simd_float4 __x) { return __builtin_shufflevector(__x,__x,1,2,3,0); }
2118static  simd_float4 SIMD_CFUNC __rotate2( simd_float4 __x) { return __builtin_shufflevector(__x,__x,2,3,0,1); }
2119static  simd_float4 SIMD_CFUNC __rotate3( simd_float4 __x) { return __builtin_shufflevector(__x,__x,3,0,1,2); }
2120static simd_double3 SIMD_CFUNC __rotate1(simd_double3 __x) { return __builtin_shufflevector(__x,__x,1,2,0); }
2121static simd_double3 SIMD_CFUNC __rotate2(simd_double3 __x) { return __builtin_shufflevector(__x,__x,2,0,1); }
2122static simd_double4 SIMD_CFUNC __rotate1(simd_double4 __x) { return __builtin_shufflevector(__x,__x,1,2,3,0); }
2123static simd_double4 SIMD_CFUNC __rotate2(simd_double4 __x) { return __builtin_shufflevector(__x,__x,2,3,0,1); }
2124static simd_double4 SIMD_CFUNC __rotate3(simd_double4 __x) { return __builtin_shufflevector(__x,__x,3,0,1,2); }
2125
2126static _Float16 SIMD_CFUNC simd_trace(simd_half2x2 __x) { return __x.columns[0][0] + __x.columns[1][1]; }
2127static  float SIMD_CFUNC simd_trace( simd_float2x2 __x) { return __x.columns[0][0] + __x.columns[1][1]; }
2128static double SIMD_CFUNC simd_trace(simd_double2x2 __x) { return __x.columns[0][0] + __x.columns[1][1]; }
2129static _Float16 SIMD_CFUNC simd_trace(simd_half3x3 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2]; }
2130static  float SIMD_CFUNC simd_trace( simd_float3x3 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2]; }
2131static double SIMD_CFUNC simd_trace(simd_double3x3 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2]; }
2132static _Float16 SIMD_CFUNC simd_trace(simd_half4x4 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2] + __x.columns[3][3]; }
2133static  float SIMD_CFUNC simd_trace( simd_float4x4 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2] + __x.columns[3][3]; }
2134static double SIMD_CFUNC simd_trace(simd_double4x4 __x) { return __x.columns[0][0] + __x.columns[1][1] + __x.columns[2][2] + __x.columns[3][3]; }
2135
2136static _Float16 SIMD_CFUNC simd_determinant(simd_half2x2 __x) { return __x.columns[0][0]*__x.columns[1][1] - __x.columns[0][1]*__x.columns[1][0]; }
2137static  float SIMD_CFUNC simd_determinant( simd_float2x2 __x) { return __x.columns[0][0]*__x.columns[1][1] - __x.columns[0][1]*__x.columns[1][0]; }
2138static double SIMD_CFUNC simd_determinant(simd_double2x2 __x) { return __x.columns[0][0]*__x.columns[1][1] - __x.columns[0][1]*__x.columns[1][0]; }
2139static _Float16 SIMD_CFUNC simd_determinant(simd_half3x3 __x) { return simd_reduce_add(__x.columns[0]*(__rotate1(__x.columns[1])*__rotate2(__x.columns[2]) - __rotate2(__x.columns[1])*__rotate1(__x.columns[2]))); }
2140static  float SIMD_CFUNC simd_determinant( simd_float3x3 __x) { return simd_reduce_add(__x.columns[0]*(__rotate1(__x.columns[1])*__rotate2(__x.columns[2]) - __rotate2(__x.columns[1])*__rotate1(__x.columns[2]))); }
2141static double SIMD_CFUNC simd_determinant(simd_double3x3 __x) { return simd_reduce_add(__x.columns[0]*(__rotate1(__x.columns[1])*__rotate2(__x.columns[2]) - __rotate2(__x.columns[1])*__rotate1(__x.columns[2]))); }
2142static _Float16 SIMD_CFUNC simd_determinant( simd_half4x4 __x) {
2143    simd_half4 codet = __x.columns[0]*(__rotate1(__x.columns[1])*(__rotate2(__x.columns[2])*__rotate3(__x.columns[3])-__rotate3(__x.columns[2])*__rotate2(__x.columns[3])) +
2144                                       __rotate2(__x.columns[1])*(__rotate3(__x.columns[2])*__rotate1(__x.columns[3])-__rotate1(__x.columns[2])*__rotate3(__x.columns[3])) +
2145                                       __rotate3(__x.columns[1])*(__rotate1(__x.columns[2])*__rotate2(__x.columns[3])-__rotate2(__x.columns[2])*__rotate1(__x.columns[3])));
2146    return simd_reduce_add(codet.even - codet.odd);
2147}
2148static  float SIMD_CFUNC simd_determinant( simd_float4x4 __x) {
2149    simd_float4 codet = __x.columns[0]*(__rotate1(__x.columns[1])*(__rotate2(__x.columns[2])*__rotate3(__x.columns[3])-__rotate3(__x.columns[2])*__rotate2(__x.columns[3])) +
2150                                          __rotate2(__x.columns[1])*(__rotate3(__x.columns[2])*__rotate1(__x.columns[3])-__rotate1(__x.columns[2])*__rotate3(__x.columns[3])) +
2151                                          __rotate3(__x.columns[1])*(__rotate1(__x.columns[2])*__rotate2(__x.columns[3])-__rotate2(__x.columns[2])*__rotate1(__x.columns[3])));
2152    return simd_reduce_add(codet.even - codet.odd);
2153}
2154static double SIMD_CFUNC simd_determinant(simd_double4x4 __x) {
2155    simd_double4 codet = __x.columns[0]*(__rotate1(__x.columns[1])*(__rotate2(__x.columns[2])*__rotate3(__x.columns[3])-__rotate3(__x.columns[2])*__rotate2(__x.columns[3])) +
2156                                           __rotate2(__x.columns[1])*(__rotate3(__x.columns[2])*__rotate1(__x.columns[3])-__rotate1(__x.columns[2])*__rotate3(__x.columns[3])) +
2157                                           __rotate3(__x.columns[1])*(__rotate1(__x.columns[2])*__rotate2(__x.columns[3])-__rotate2(__x.columns[2])*__rotate1(__x.columns[3])));
2158    return simd_reduce_add(codet.even - codet.odd);
2159}
2160
2161#if SIMD_LIBRARY_VERSION >= 6
2162static  simd_half2x2  SIMD_CFUNC simd_inverse(  simd_half2x2 __x) { return __invert_h2(__x); }
2163static  simd_half3x3  SIMD_CFUNC simd_inverse(  simd_half3x3 __x) { return __invert_h3(__x); }
2164static  simd_half4x4  SIMD_CFUNC simd_inverse(  simd_half4x4 __x) { return __invert_h4(__x); }
2165#endif /* SIMD_LIBRARY_VERSION */
2166static  simd_float2x2 SIMD_CFUNC simd_inverse( simd_float2x2 __x) { return __invert_f2(__x); }
2167static  simd_float3x3 SIMD_CFUNC simd_inverse( simd_float3x3 __x) { return __invert_f3(__x); }
2168static  simd_float4x4 SIMD_CFUNC simd_inverse( simd_float4x4 __x) { return __invert_f4(__x); }
2169static simd_double2x2 SIMD_CFUNC simd_inverse(simd_double2x2 __x) { return __invert_d2(__x); }
2170static simd_double3x3 SIMD_CFUNC simd_inverse(simd_double3x3 __x) { return __invert_d3(__x); }
2171static simd_double4x4 SIMD_CFUNC simd_inverse(simd_double4x4 __x) { return __invert_d4(__x); }
2172
2173static  simd_half2 SIMD_CFUNC simd_mul( simd_half2x2 __x,  simd_half2 __y) {  simd_half2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2174static  simd_half3 SIMD_CFUNC simd_mul( simd_half2x3 __x,  simd_half2 __y) {  simd_half3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2175static  simd_half4 SIMD_CFUNC simd_mul( simd_half2x4 __x,  simd_half2 __y) {  simd_half4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2176static  simd_half2 SIMD_CFUNC simd_mul( simd_half3x2 __x,  simd_half3 __y) {  simd_half2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2177static  simd_half3 SIMD_CFUNC simd_mul( simd_half3x3 __x,  simd_half3 __y) {  simd_half3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2178static  simd_half4 SIMD_CFUNC simd_mul( simd_half3x4 __x,  simd_half3 __y) {  simd_half4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2179static  simd_half2 SIMD_CFUNC simd_mul( simd_half4x2 __x,  simd_half4 __y) {  simd_half2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2180static  simd_half3 SIMD_CFUNC simd_mul( simd_half4x3 __x,  simd_half4 __y) {  simd_half3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2181static  simd_half4 SIMD_CFUNC simd_mul( simd_half4x4 __x,  simd_half4 __y) {  simd_half4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2182static  simd_float2 SIMD_CFUNC simd_mul( simd_float2x2 __x,  simd_float2 __y) {  simd_float2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2183static  simd_float3 SIMD_CFUNC simd_mul( simd_float2x3 __x,  simd_float2 __y) {  simd_float3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2184static  simd_float4 SIMD_CFUNC simd_mul( simd_float2x4 __x,  simd_float2 __y) {  simd_float4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2185static  simd_float2 SIMD_CFUNC simd_mul( simd_float3x2 __x,  simd_float3 __y) {  simd_float2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2186static  simd_float3 SIMD_CFUNC simd_mul( simd_float3x3 __x,  simd_float3 __y) {  simd_float3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2187static  simd_float4 SIMD_CFUNC simd_mul( simd_float3x4 __x,  simd_float3 __y) {  simd_float4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2188static  simd_float2 SIMD_CFUNC simd_mul( simd_float4x2 __x,  simd_float4 __y) {  simd_float2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2189static  simd_float3 SIMD_CFUNC simd_mul( simd_float4x3 __x,  simd_float4 __y) {  simd_float3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2190static  simd_float4 SIMD_CFUNC simd_mul( simd_float4x4 __x,  simd_float4 __y) {  simd_float4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2191static simd_double2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double2 __y) { simd_double2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2192static simd_double3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double2 __y) { simd_double3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2193static simd_double4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double2 __y) { simd_double4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); return __r; }
2194static simd_double2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double3 __y) { simd_double2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2195static simd_double3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double3 __y) { simd_double3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2196static simd_double4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double3 __y) { simd_double4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); return __r; }
2197static simd_double2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double4 __y) { simd_double2 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2198static simd_double3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double4 __y) { simd_double3 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2199static simd_double4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double4 __y) { simd_double4 __r = __x.columns[0]*__y[0]; __r = simd_muladd( __x.columns[1], __y[1],__r); __r = simd_muladd( __x.columns[2], __y[2],__r); __r = simd_muladd( __x.columns[3], __y[3],__r); return __r; }
2200
2201static   simd_half2 SIMD_CFUNC simd_mul(  simd_half2 __x,   simd_half2x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2202static   simd_half3 SIMD_CFUNC simd_mul(  simd_half2 __x,   simd_half3x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2203static   simd_half4 SIMD_CFUNC simd_mul(  simd_half2 __x,   simd_half4x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2204static   simd_half2 SIMD_CFUNC simd_mul(  simd_half3 __x,   simd_half2x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2205static   simd_half3 SIMD_CFUNC simd_mul(  simd_half3 __x,   simd_half3x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2206static   simd_half4 SIMD_CFUNC simd_mul(  simd_half3 __x,   simd_half4x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2207static   simd_half2 SIMD_CFUNC simd_mul(  simd_half4 __x,   simd_half2x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2208static   simd_half3 SIMD_CFUNC simd_mul(  simd_half4 __x,   simd_half3x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2209static   simd_half4 SIMD_CFUNC simd_mul(  simd_half4 __x,   simd_half4x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2210static  simd_float2 SIMD_CFUNC simd_mul( simd_float2 __x,  simd_float2x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2211static  simd_float3 SIMD_CFUNC simd_mul( simd_float2 __x,  simd_float3x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2212static  simd_float4 SIMD_CFUNC simd_mul( simd_float2 __x,  simd_float4x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2213static  simd_float2 SIMD_CFUNC simd_mul( simd_float3 __x,  simd_float2x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2214static  simd_float3 SIMD_CFUNC simd_mul( simd_float3 __x,  simd_float3x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2215static  simd_float4 SIMD_CFUNC simd_mul( simd_float3 __x,  simd_float4x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2216static  simd_float2 SIMD_CFUNC simd_mul( simd_float4 __x,  simd_float2x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2217static  simd_float3 SIMD_CFUNC simd_mul( simd_float4 __x,  simd_float3x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2218static  simd_float4 SIMD_CFUNC simd_mul( simd_float4 __x,  simd_float4x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2219static simd_double2 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double2x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2220static simd_double3 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double3x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2221static simd_double4 SIMD_CFUNC simd_mul(simd_double2 __x, simd_double4x2 __y) { return simd_mul(simd_transpose(__y), __x); }
2222static simd_double2 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double2x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2223static simd_double3 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double3x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2224static simd_double4 SIMD_CFUNC simd_mul(simd_double3 __x, simd_double4x3 __y) { return simd_mul(simd_transpose(__y), __x); }
2225static simd_double2 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double2x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2226static simd_double3 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double3x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2227static simd_double4 SIMD_CFUNC simd_mul(simd_double4 __x, simd_double4x4 __y) { return simd_mul(simd_transpose(__y), __x); }
2228
2229static   simd_half2x2 SIMD_CFUNC simd_mul(  simd_half2x2 __x,   simd_half2x2 __y) {   simd_half2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2230static  simd_float2x2 SIMD_CFUNC simd_mul( simd_float2x2 __x,  simd_float2x2 __y) {  simd_float2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2231static simd_double2x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double2x2 __y) { simd_double2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2232static   simd_half2x3 SIMD_CFUNC simd_mul(  simd_half2x3 __x,   simd_half2x2 __y) {   simd_half2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2233static  simd_float2x3 SIMD_CFUNC simd_mul( simd_float2x3 __x,  simd_float2x2 __y) {  simd_float2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2234static simd_double2x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double2x2 __y) { simd_double2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2235static   simd_half2x4 SIMD_CFUNC simd_mul(  simd_half2x4 __x,   simd_half2x2 __y) {   simd_half2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2236static  simd_float2x4 SIMD_CFUNC simd_mul( simd_float2x4 __x,  simd_float2x2 __y) {  simd_float2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2237static simd_double2x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double2x2 __y) { simd_double2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2238static   simd_half2x2 SIMD_CFUNC simd_mul(  simd_half3x2 __x,   simd_half2x3 __y) {   simd_half2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2239static  simd_float2x2 SIMD_CFUNC simd_mul( simd_float3x2 __x,  simd_float2x3 __y) {  simd_float2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2240static simd_double2x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double2x3 __y) { simd_double2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2241static   simd_half2x3 SIMD_CFUNC simd_mul(  simd_half3x3 __x,   simd_half2x3 __y) {   simd_half2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2242static  simd_float2x3 SIMD_CFUNC simd_mul( simd_float3x3 __x,  simd_float2x3 __y) {  simd_float2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2243static simd_double2x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double2x3 __y) { simd_double2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2244static   simd_half2x4 SIMD_CFUNC simd_mul(  simd_half3x4 __x,   simd_half2x3 __y) {   simd_half2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2245static  simd_float2x4 SIMD_CFUNC simd_mul( simd_float3x4 __x,  simd_float2x3 __y) {  simd_float2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2246static simd_double2x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double2x3 __y) { simd_double2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2247static   simd_half2x2 SIMD_CFUNC simd_mul(  simd_half4x2 __x,   simd_half2x4 __y) {   simd_half2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2248static  simd_float2x2 SIMD_CFUNC simd_mul( simd_float4x2 __x,  simd_float2x4 __y) {  simd_float2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2249static simd_double2x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double2x4 __y) { simd_double2x2 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2250static   simd_half2x3 SIMD_CFUNC simd_mul(  simd_half4x3 __x,   simd_half2x4 __y) {   simd_half2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2251static  simd_float2x3 SIMD_CFUNC simd_mul( simd_float4x3 __x,  simd_float2x4 __y) {  simd_float2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2252static simd_double2x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double2x4 __y) { simd_double2x3 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2253static   simd_half2x4 SIMD_CFUNC simd_mul(  simd_half4x4 __x,   simd_half2x4 __y) {   simd_half2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2254static  simd_float2x4 SIMD_CFUNC simd_mul( simd_float4x4 __x,  simd_float2x4 __y) {  simd_float2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2255static simd_double2x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double2x4 __y) { simd_double2x4 __r; for (int i=0; i<2; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2256
2257static   simd_half3x2 SIMD_CFUNC simd_mul(  simd_half2x2 __x,   simd_half3x2 __y) {   simd_half3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2258static  simd_float3x2 SIMD_CFUNC simd_mul( simd_float2x2 __x,  simd_float3x2 __y) {  simd_float3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2259static simd_double3x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double3x2 __y) { simd_double3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2260static   simd_half3x3 SIMD_CFUNC simd_mul(  simd_half2x3 __x,   simd_half3x2 __y) {   simd_half3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2261static  simd_float3x3 SIMD_CFUNC simd_mul( simd_float2x3 __x,  simd_float3x2 __y) {  simd_float3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2262static simd_double3x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double3x2 __y) { simd_double3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2263static   simd_half3x4 SIMD_CFUNC simd_mul(  simd_half2x4 __x,   simd_half3x2 __y) {   simd_half3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2264static  simd_float3x4 SIMD_CFUNC simd_mul( simd_float2x4 __x,  simd_float3x2 __y) {  simd_float3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2265static simd_double3x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double3x2 __y) { simd_double3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2266static   simd_half3x2 SIMD_CFUNC simd_mul(  simd_half3x2 __x,   simd_half3x3 __y) {   simd_half3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2267static  simd_float3x2 SIMD_CFUNC simd_mul( simd_float3x2 __x,  simd_float3x3 __y) {  simd_float3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2268static simd_double3x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double3x3 __y) { simd_double3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2269static   simd_half3x3 SIMD_CFUNC simd_mul(  simd_half3x3 __x,   simd_half3x3 __y) {   simd_half3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2270static  simd_float3x3 SIMD_CFUNC simd_mul( simd_float3x3 __x,  simd_float3x3 __y) {  simd_float3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2271static simd_double3x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double3x3 __y) { simd_double3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2272static   simd_half3x4 SIMD_CFUNC simd_mul(  simd_half3x4 __x,   simd_half3x3 __y) {   simd_half3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2273static  simd_float3x4 SIMD_CFUNC simd_mul( simd_float3x4 __x,  simd_float3x3 __y) {  simd_float3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2274static simd_double3x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double3x3 __y) { simd_double3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2275static   simd_half3x2 SIMD_CFUNC simd_mul(  simd_half4x2 __x,   simd_half3x4 __y) {   simd_half3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2276static  simd_float3x2 SIMD_CFUNC simd_mul( simd_float4x2 __x,  simd_float3x4 __y) {  simd_float3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2277static simd_double3x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double3x4 __y) { simd_double3x2 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2278static   simd_half3x3 SIMD_CFUNC simd_mul(  simd_half4x3 __x,   simd_half3x4 __y) {   simd_half3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2279static  simd_float3x3 SIMD_CFUNC simd_mul( simd_float4x3 __x,  simd_float3x4 __y) {  simd_float3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2280static simd_double3x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double3x4 __y) { simd_double3x3 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2281static   simd_half3x4 SIMD_CFUNC simd_mul(  simd_half4x4 __x,   simd_half3x4 __y) {   simd_half3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2282static  simd_float3x4 SIMD_CFUNC simd_mul( simd_float4x4 __x,  simd_float3x4 __y) {  simd_float3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2283static simd_double3x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double3x4 __y) { simd_double3x4 __r; for (int i=0; i<3; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2284
2285static   simd_half4x2 SIMD_CFUNC simd_mul(  simd_half2x2 __x,   simd_half4x2 __y) {   simd_half4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2286static  simd_float4x2 SIMD_CFUNC simd_mul( simd_float2x2 __x,  simd_float4x2 __y) {  simd_float4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2287static simd_double4x2 SIMD_CFUNC simd_mul(simd_double2x2 __x, simd_double4x2 __y) { simd_double4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2288static   simd_half4x3 SIMD_CFUNC simd_mul(  simd_half2x3 __x,   simd_half4x2 __y) {   simd_half4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2289static  simd_float4x3 SIMD_CFUNC simd_mul( simd_float2x3 __x,  simd_float4x2 __y) {  simd_float4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2290static simd_double4x3 SIMD_CFUNC simd_mul(simd_double2x3 __x, simd_double4x2 __y) { simd_double4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2291static   simd_half4x4 SIMD_CFUNC simd_mul(  simd_half2x4 __x,   simd_half4x2 __y) {   simd_half4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2292static  simd_float4x4 SIMD_CFUNC simd_mul( simd_float2x4 __x,  simd_float4x2 __y) {  simd_float4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2293static simd_double4x4 SIMD_CFUNC simd_mul(simd_double2x4 __x, simd_double4x2 __y) { simd_double4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2294static   simd_half4x2 SIMD_CFUNC simd_mul(  simd_half3x2 __x,   simd_half4x3 __y) {   simd_half4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2295static  simd_float4x2 SIMD_CFUNC simd_mul( simd_float3x2 __x,  simd_float4x3 __y) {  simd_float4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2296static simd_double4x2 SIMD_CFUNC simd_mul(simd_double3x2 __x, simd_double4x3 __y) { simd_double4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2297static   simd_half4x3 SIMD_CFUNC simd_mul(  simd_half3x3 __x,   simd_half4x3 __y) {   simd_half4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2298static  simd_float4x3 SIMD_CFUNC simd_mul( simd_float3x3 __x,  simd_float4x3 __y) {  simd_float4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2299static simd_double4x3 SIMD_CFUNC simd_mul(simd_double3x3 __x, simd_double4x3 __y) { simd_double4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2300static   simd_half4x4 SIMD_CFUNC simd_mul(  simd_half3x4 __x,   simd_half4x3 __y) {   simd_half4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2301static  simd_float4x4 SIMD_CFUNC simd_mul( simd_float3x4 __x,  simd_float4x3 __y) {  simd_float4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2302static simd_double4x4 SIMD_CFUNC simd_mul(simd_double3x4 __x, simd_double4x3 __y) { simd_double4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2303static   simd_half4x2 SIMD_CFUNC simd_mul(  simd_half4x2 __x,   simd_half4x4 __y) {   simd_half4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2304static  simd_float4x2 SIMD_CFUNC simd_mul( simd_float4x2 __x,  simd_float4x4 __y) {  simd_float4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2305static simd_double4x2 SIMD_CFUNC simd_mul(simd_double4x2 __x, simd_double4x4 __y) { simd_double4x2 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2306static   simd_half4x3 SIMD_CFUNC simd_mul(  simd_half4x3 __x,   simd_half4x4 __y) {   simd_half4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2307static  simd_float4x3 SIMD_CFUNC simd_mul( simd_float4x3 __x,  simd_float4x4 __y) {  simd_float4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2308static simd_double4x3 SIMD_CFUNC simd_mul(simd_double4x3 __x, simd_double4x4 __y) { simd_double4x3 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2309static   simd_half4x4 SIMD_CFUNC simd_mul(  simd_half4x4 __x,   simd_half4x4 __y) {   simd_half4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2310static  simd_float4x4 SIMD_CFUNC simd_mul( simd_float4x4 __x,  simd_float4x4 __y) {  simd_float4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2311static simd_double4x4 SIMD_CFUNC simd_mul(simd_double4x4 __x, simd_double4x4 __y) { simd_double4x4 __r; for (int i=0; i<4; ++i) __r.columns[i] = simd_mul(__x, __y.columns[i]); return __r; }
2312  
2313static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half2x2 __x,   simd_half2 __y) { return simd_mul(__x, __y); }
2314static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half2x3 __x,   simd_half2 __y) { return simd_mul(__x, __y); }
2315static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half2x4 __x,   simd_half2 __y) { return simd_mul(__x, __y); }
2316static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half3x2 __x,   simd_half3 __y) { return simd_mul(__x, __y); }
2317static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half3x3 __x,   simd_half3 __y) { return simd_mul(__x, __y); }
2318static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half3x4 __x,   simd_half3 __y) { return simd_mul(__x, __y); }
2319static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half4x2 __x,   simd_half4 __y) { return simd_mul(__x, __y); }
2320static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half4x3 __x,   simd_half4 __y) { return simd_mul(__x, __y); }
2321static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half4x4 __x,   simd_half4 __y) { return simd_mul(__x, __y); }
2322static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float2x2 __x,  simd_float2 __y) { return simd_mul(__x, __y); }
2323static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float2x3 __x,  simd_float2 __y) { return simd_mul(__x, __y); }
2324static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float2x4 __x,  simd_float2 __y) { return simd_mul(__x, __y); }
2325static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float3x2 __x,  simd_float3 __y) { return simd_mul(__x, __y); }
2326static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float3x3 __x,  simd_float3 __y) { return simd_mul(__x, __y); }
2327static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float3x4 __x,  simd_float3 __y) { return simd_mul(__x, __y); }
2328static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float4x2 __x,  simd_float4 __y) { return simd_mul(__x, __y); }
2329static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float4x3 __x,  simd_float4 __y) { return simd_mul(__x, __y); }
2330static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float4x4 __x,  simd_float4 __y) { return simd_mul(__x, __y); }
2331static simd_double2 SIMD_CFUNC matrix_multiply(simd_double2x2 __x, simd_double2 __y) { return simd_mul(__x, __y); }
2332static simd_double3 SIMD_CFUNC matrix_multiply(simd_double2x3 __x, simd_double2 __y) { return simd_mul(__x, __y); }
2333static simd_double4 SIMD_CFUNC matrix_multiply(simd_double2x4 __x, simd_double2 __y) { return simd_mul(__x, __y); }
2334static simd_double2 SIMD_CFUNC matrix_multiply(simd_double3x2 __x, simd_double3 __y) { return simd_mul(__x, __y); }
2335static simd_double3 SIMD_CFUNC matrix_multiply(simd_double3x3 __x, simd_double3 __y) { return simd_mul(__x, __y); }
2336static simd_double4 SIMD_CFUNC matrix_multiply(simd_double3x4 __x, simd_double3 __y) { return simd_mul(__x, __y); }
2337static simd_double2 SIMD_CFUNC matrix_multiply(simd_double4x2 __x, simd_double4 __y) { return simd_mul(__x, __y); }
2338static simd_double3 SIMD_CFUNC matrix_multiply(simd_double4x3 __x, simd_double4 __y) { return simd_mul(__x, __y); }
2339static simd_double4 SIMD_CFUNC matrix_multiply(simd_double4x4 __x, simd_double4 __y) { return simd_mul(__x, __y); }
2340  
2341static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half2 __x,   simd_half2x2 __y) { return simd_mul(__x, __y); }
2342static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half2 __x,   simd_half3x2 __y) { return simd_mul(__x, __y); }
2343static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half2 __x,   simd_half4x2 __y) { return simd_mul(__x, __y); }
2344static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half3 __x,   simd_half2x3 __y) { return simd_mul(__x, __y); }
2345static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half3 __x,   simd_half3x3 __y) { return simd_mul(__x, __y); }
2346static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half3 __x,   simd_half4x3 __y) { return simd_mul(__x, __y); }
2347static   simd_half2 SIMD_CFUNC matrix_multiply(  simd_half4 __x,   simd_half2x4 __y) { return simd_mul(__x, __y); }
2348static   simd_half3 SIMD_CFUNC matrix_multiply(  simd_half4 __x,   simd_half3x4 __y) { return simd_mul(__x, __y); }
2349static   simd_half4 SIMD_CFUNC matrix_multiply(  simd_half4 __x,   simd_half4x4 __y) { return simd_mul(__x, __y); }
2350static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float2 __x,  simd_float2x2 __y) { return simd_mul(__x, __y); }
2351static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float2 __x,  simd_float3x2 __y) { return simd_mul(__x, __y); }
2352static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float2 __x,  simd_float4x2 __y) { return simd_mul(__x, __y); }
2353static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float3 __x,  simd_float2x3 __y) { return simd_mul(__x, __y); }
2354static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float3 __x,  simd_float3x3 __y) { return simd_mul(__x, __y); }
2355static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float3 __x,  simd_float4x3 __y) { return simd_mul(__x, __y); }
2356static  simd_float2 SIMD_CFUNC matrix_multiply( simd_float4 __x,  simd_float2x4 __y) { return simd_mul(__x, __y); }
2357static  simd_float3 SIMD_CFUNC matrix_multiply( simd_float4 __x,  simd_float3x4 __y) { return simd_mul(__x, __y); }
2358static  simd_float4 SIMD_CFUNC matrix_multiply( simd_float4 __x,  simd_float4x4 __y) { return simd_mul(__x, __y); }
2359static simd_double2 SIMD_CFUNC matrix_multiply(simd_double2 __x, simd_double2x2 __y) { return simd_mul(__x, __y); }
2360static simd_double3 SIMD_CFUNC matrix_multiply(simd_double2 __x, simd_double3x2 __y) { return simd_mul(__x, __y); }
2361static simd_double4 SIMD_CFUNC matrix_multiply(simd_double2 __x, simd_double4x2 __y) { return simd_mul(__x, __y); }
2362static simd_double2 SIMD_CFUNC matrix_multiply(simd_double3 __x, simd_double2x3 __y) { return simd_mul(__x, __y); }
2363static simd_double3 SIMD_CFUNC matrix_multiply(simd_double3 __x, simd_double3x3 __y) { return simd_mul(__x, __y); }
2364static simd_double4 SIMD_CFUNC matrix_multiply(simd_double3 __x, simd_double4x3 __y) { return simd_mul(__x, __y); }
2365static simd_double2 SIMD_CFUNC matrix_multiply(simd_double4 __x, simd_double2x4 __y) { return simd_mul(__x, __y); }
2366static simd_double3 SIMD_CFUNC matrix_multiply(simd_double4 __x, simd_double3x4 __y) { return simd_mul(__x, __y); }
2367static simd_double4 SIMD_CFUNC matrix_multiply(simd_double4 __x, simd_double4x4 __y) { return simd_mul(__x, __y); }
2368
2369static   simd_half2x2 SIMD_CFUNC matrix_multiply(  simd_half2x2 __x,   simd_half2x2 __y) { return simd_mul(__x, __y); }
2370static  simd_float2x2 SIMD_CFUNC matrix_multiply( simd_float2x2 __x,  simd_float2x2 __y) { return simd_mul(__x, __y); }
2371static simd_double2x2 SIMD_CFUNC matrix_multiply(simd_double2x2 __x, simd_double2x2 __y) { return simd_mul(__x, __y); }
2372static   simd_half2x3 SIMD_CFUNC matrix_multiply(  simd_half2x3 __x,   simd_half2x2 __y) { return simd_mul(__x, __y); }
2373static  simd_float2x3 SIMD_CFUNC matrix_multiply( simd_float2x3 __x,  simd_float2x2 __y) { return simd_mul(__x, __y); }
2374static simd_double2x3 SIMD_CFUNC matrix_multiply(simd_double2x3 __x, simd_double2x2 __y) { return simd_mul(__x, __y); }
2375static   simd_half2x4 SIMD_CFUNC matrix_multiply(  simd_half2x4 __x,   simd_half2x2 __y) { return simd_mul(__x, __y); }
2376static  simd_float2x4 SIMD_CFUNC matrix_multiply( simd_float2x4 __x,  simd_float2x2 __y) { return simd_mul(__x, __y); }
2377static simd_double2x4 SIMD_CFUNC matrix_multiply(simd_double2x4 __x, simd_double2x2 __y) { return simd_mul(__x, __y); }
2378static   simd_half2x2 SIMD_CFUNC matrix_multiply(  simd_half3x2 __x,   simd_half2x3 __y) { return simd_mul(__x, __y); }
2379static  simd_float2x2 SIMD_CFUNC matrix_multiply( simd_float3x2 __x,  simd_float2x3 __y) { return simd_mul(__x, __y); }
2380static simd_double2x2 SIMD_CFUNC matrix_multiply(simd_double3x2 __x, simd_double2x3 __y) { return simd_mul(__x, __y); }
2381static   simd_half2x3 SIMD_CFUNC matrix_multiply(  simd_half3x3 __x,   simd_half2x3 __y) { return simd_mul(__x, __y); }
2382static  simd_float2x3 SIMD_CFUNC matrix_multiply( simd_float3x3 __x,  simd_float2x3 __y) { return simd_mul(__x, __y); }
2383static simd_double2x3 SIMD_CFUNC matrix_multiply(simd_double3x3 __x, simd_double2x3 __y) { return simd_mul(__x, __y); }
2384static   simd_half2x4 SIMD_CFUNC matrix_multiply(  simd_half3x4 __x,   simd_half2x3 __y) { return simd_mul(__x, __y); }
2385static  simd_float2x4 SIMD_CFUNC matrix_multiply( simd_float3x4 __x,  simd_float2x3 __y) { return simd_mul(__x, __y); }
2386static simd_double2x4 SIMD_CFUNC matrix_multiply(simd_double3x4 __x, simd_double2x3 __y) { return simd_mul(__x, __y); }
2387static   simd_half2x2 SIMD_CFUNC matrix_multiply(  simd_half4x2 __x,   simd_half2x4 __y) { return simd_mul(__x, __y); }
2388static  simd_float2x2 SIMD_CFUNC matrix_multiply( simd_float4x2 __x,  simd_float2x4 __y) { return simd_mul(__x, __y); }
2389static simd_double2x2 SIMD_CFUNC matrix_multiply(simd_double4x2 __x, simd_double2x4 __y) { return simd_mul(__x, __y); }
2390static   simd_half2x3 SIMD_CFUNC matrix_multiply(  simd_half4x3 __x,   simd_half2x4 __y) { return simd_mul(__x, __y); }
2391static  simd_float2x3 SIMD_CFUNC matrix_multiply( simd_float4x3 __x,  simd_float2x4 __y) { return simd_mul(__x, __y); }
2392static simd_double2x3 SIMD_CFUNC matrix_multiply(simd_double4x3 __x, simd_double2x4 __y) { return simd_mul(__x, __y); }
2393static   simd_half2x4 SIMD_CFUNC matrix_multiply(  simd_half4x4 __x,   simd_half2x4 __y) { return simd_mul(__x, __y); }
2394static  simd_float2x4 SIMD_CFUNC matrix_multiply( simd_float4x4 __x,  simd_float2x4 __y) { return simd_mul(__x, __y); }
2395static simd_double2x4 SIMD_CFUNC matrix_multiply(simd_double4x4 __x, simd_double2x4 __y) { return simd_mul(__x, __y); }
2396  
2397static   simd_half3x2 SIMD_CFUNC matrix_multiply(  simd_half2x2 __x,   simd_half3x2 __y) { return simd_mul(__x, __y); }
2398static  simd_float3x2 SIMD_CFUNC matrix_multiply( simd_float2x2 __x,  simd_float3x2 __y) { return simd_mul(__x, __y); }
2399static simd_double3x2 SIMD_CFUNC matrix_multiply(simd_double2x2 __x, simd_double3x2 __y) { return simd_mul(__x, __y); }
2400static   simd_half3x3 SIMD_CFUNC matrix_multiply(  simd_half2x3 __x,   simd_half3x2 __y) { return simd_mul(__x, __y); }
2401static  simd_float3x3 SIMD_CFUNC matrix_multiply( simd_float2x3 __x,  simd_float3x2 __y) { return simd_mul(__x, __y); }
2402static simd_double3x3 SIMD_CFUNC matrix_multiply(simd_double2x3 __x, simd_double3x2 __y) { return simd_mul(__x, __y); }
2403static   simd_half3x4 SIMD_CFUNC matrix_multiply(  simd_half2x4 __x,   simd_half3x2 __y) { return simd_mul(__x, __y); }
2404static  simd_float3x4 SIMD_CFUNC matrix_multiply( simd_float2x4 __x,  simd_float3x2 __y) { return simd_mul(__x, __y); }
2405static simd_double3x4 SIMD_CFUNC matrix_multiply(simd_double2x4 __x, simd_double3x2 __y) { return simd_mul(__x, __y); }
2406static   simd_half3x2 SIMD_CFUNC matrix_multiply(  simd_half3x2 __x,   simd_half3x3 __y) { return simd_mul(__x, __y); }
2407static  simd_float3x2 SIMD_CFUNC matrix_multiply( simd_float3x2 __x,  simd_float3x3 __y) { return simd_mul(__x, __y); }
2408static simd_double3x2 SIMD_CFUNC matrix_multiply(simd_double3x2 __x, simd_double3x3 __y) { return simd_mul(__x, __y); }
2409static   simd_half3x3 SIMD_CFUNC matrix_multiply(  simd_half3x3 __x,   simd_half3x3 __y) { return simd_mul(__x, __y); }
2410static  simd_float3x3 SIMD_CFUNC matrix_multiply( simd_float3x3 __x,  simd_float3x3 __y) { return simd_mul(__x, __y); }
2411static simd_double3x3 SIMD_CFUNC matrix_multiply(simd_double3x3 __x, simd_double3x3 __y) { return simd_mul(__x, __y); }
2412static   simd_half3x4 SIMD_CFUNC matrix_multiply(  simd_half3x4 __x,   simd_half3x3 __y) { return simd_mul(__x, __y); }
2413static  simd_float3x4 SIMD_CFUNC matrix_multiply( simd_float3x4 __x,  simd_float3x3 __y) { return simd_mul(__x, __y); }
2414static simd_double3x4 SIMD_CFUNC matrix_multiply(simd_double3x4 __x, simd_double3x3 __y) { return simd_mul(__x, __y); }
2415static   simd_half3x2 SIMD_CFUNC matrix_multiply(  simd_half4x2 __x,   simd_half3x4 __y) { return simd_mul(__x, __y); }
2416static  simd_float3x2 SIMD_CFUNC matrix_multiply( simd_float4x2 __x,  simd_float3x4 __y) { return simd_mul(__x, __y); }
2417static simd_double3x2 SIMD_CFUNC matrix_multiply(simd_double4x2 __x, simd_double3x4 __y) { return simd_mul(__x, __y); }
2418static   simd_half3x3 SIMD_CFUNC matrix_multiply(  simd_half4x3 __x,   simd_half3x4 __y) { return simd_mul(__x, __y); }
2419static  simd_float3x3 SIMD_CFUNC matrix_multiply( simd_float4x3 __x,  simd_float3x4 __y) { return simd_mul(__x, __y); }
2420static simd_double3x3 SIMD_CFUNC matrix_multiply(simd_double4x3 __x, simd_double3x4 __y) { return simd_mul(__x, __y); }
2421static   simd_half3x4 SIMD_CFUNC matrix_multiply(  simd_half4x4 __x,   simd_half3x4 __y) { return simd_mul(__x, __y); }
2422static  simd_float3x4 SIMD_CFUNC matrix_multiply( simd_float4x4 __x,  simd_float3x4 __y) { return simd_mul(__x, __y); }
2423static simd_double3x4 SIMD_CFUNC matrix_multiply(simd_double4x4 __x, simd_double3x4 __y) { return simd_mul(__x, __y); }
2424  
2425static   simd_half4x2 SIMD_CFUNC matrix_multiply(  simd_half2x2 __x,   simd_half4x2 __y) { return simd_mul(__x, __y); }
2426static  simd_float4x2 SIMD_CFUNC matrix_multiply( simd_float2x2 __x,  simd_float4x2 __y) { return simd_mul(__x, __y); }
2427static simd_double4x2 SIMD_CFUNC matrix_multiply(simd_double2x2 __x, simd_double4x2 __y) { return simd_mul(__x, __y); }
2428static   simd_half4x3 SIMD_CFUNC matrix_multiply(  simd_half2x3 __x,   simd_half4x2 __y) { return simd_mul(__x, __y); }
2429static  simd_float4x3 SIMD_CFUNC matrix_multiply( simd_float2x3 __x,  simd_float4x2 __y) { return simd_mul(__x, __y); }
2430static simd_double4x3 SIMD_CFUNC matrix_multiply(simd_double2x3 __x, simd_double4x2 __y) { return simd_mul(__x, __y); }
2431static   simd_half4x4 SIMD_CFUNC matrix_multiply(  simd_half2x4 __x,   simd_half4x2 __y) { return simd_mul(__x, __y); }
2432static  simd_float4x4 SIMD_CFUNC matrix_multiply( simd_float2x4 __x,  simd_float4x2 __y) { return simd_mul(__x, __y); }
2433static simd_double4x4 SIMD_CFUNC matrix_multiply(simd_double2x4 __x, simd_double4x2 __y) { return simd_mul(__x, __y); }
2434static   simd_half4x2 SIMD_CFUNC matrix_multiply(  simd_half3x2 __x,   simd_half4x3 __y) { return simd_mul(__x, __y); }
2435static  simd_float4x2 SIMD_CFUNC matrix_multiply( simd_float3x2 __x,  simd_float4x3 __y) { return simd_mul(__x, __y); }
2436static simd_double4x2 SIMD_CFUNC matrix_multiply(simd_double3x2 __x, simd_double4x3 __y) { return simd_mul(__x, __y); }
2437static   simd_half4x3 SIMD_CFUNC matrix_multiply(  simd_half3x3 __x,   simd_half4x3 __y) { return simd_mul(__x, __y); }
2438static  simd_float4x3 SIMD_CFUNC matrix_multiply( simd_float3x3 __x,  simd_float4x3 __y) { return simd_mul(__x, __y); }
2439static simd_double4x3 SIMD_CFUNC matrix_multiply(simd_double3x3 __x, simd_double4x3 __y) { return simd_mul(__x, __y); }
2440static   simd_half4x4 SIMD_CFUNC matrix_multiply(  simd_half3x4 __x,   simd_half4x3 __y) { return simd_mul(__x, __y); }
2441static  simd_float4x4 SIMD_CFUNC matrix_multiply( simd_float3x4 __x,  simd_float4x3 __y) { return simd_mul(__x, __y); }
2442static simd_double4x4 SIMD_CFUNC matrix_multiply(simd_double3x4 __x, simd_double4x3 __y) { return simd_mul(__x, __y); }
2443static   simd_half4x2 SIMD_CFUNC matrix_multiply(  simd_half4x2 __x,   simd_half4x4 __y) { return simd_mul(__x, __y); }
2444static  simd_float4x2 SIMD_CFUNC matrix_multiply( simd_float4x2 __x,  simd_float4x4 __y) { return simd_mul(__x, __y); }
2445static simd_double4x2 SIMD_CFUNC matrix_multiply(simd_double4x2 __x, simd_double4x4 __y) { return simd_mul(__x, __y); }
2446static   simd_half4x3 SIMD_CFUNC matrix_multiply(  simd_half4x3 __x,   simd_half4x4 __y) { return simd_mul(__x, __y); }
2447static  simd_float4x3 SIMD_CFUNC matrix_multiply( simd_float4x3 __x,  simd_float4x4 __y) { return simd_mul(__x, __y); }
2448static simd_double4x3 SIMD_CFUNC matrix_multiply(simd_double4x3 __x, simd_double4x4 __y) { return simd_mul(__x, __y); }
2449static   simd_half4x4 SIMD_CFUNC matrix_multiply(  simd_half4x4 __x,   simd_half4x4 __y) { return simd_mul(__x, __y); }
2450static  simd_float4x4 SIMD_CFUNC matrix_multiply( simd_float4x4 __x,  simd_float4x4 __y) { return simd_mul(__x, __y); }
2451static simd_double4x4 SIMD_CFUNC matrix_multiply(simd_double4x4 __x, simd_double4x4 __y) { return simd_mul(__x, __y); }
2452
2453static simd_bool SIMD_CFUNC simd_equal(simd_half2x2 __x, simd_half2x2 __y) {
2454    return simd_all((__x.columns[0] == __y.columns[0]) &
2455                      (__x.columns[1] == __y.columns[1]));
2456}
2457static simd_bool SIMD_CFUNC simd_equal(simd_half2x3 __x, simd_half2x3 __y) {
2458    return simd_all((__x.columns[0] == __y.columns[0]) &
2459                      (__x.columns[1] == __y.columns[1]));
2460}
2461static simd_bool SIMD_CFUNC simd_equal(simd_half2x4 __x, simd_half2x4 __y) {
2462    return simd_all((__x.columns[0] == __y.columns[0]) &
2463                      (__x.columns[1] == __y.columns[1]));
2464}
2465static simd_bool SIMD_CFUNC simd_equal(simd_half3x2 __x, simd_half3x2 __y) {
2466    return simd_all((__x.columns[0] == __y.columns[0]) &
2467                      (__x.columns[1] == __y.columns[1]) &
2468                      (__x.columns[2] == __y.columns[2]));
2469}
2470static simd_bool SIMD_CFUNC simd_equal(simd_half3x3 __x, simd_half3x3 __y) {
2471    return simd_all((__x.columns[0] == __y.columns[0]) &
2472                      (__x.columns[1] == __y.columns[1]) &
2473                      (__x.columns[2] == __y.columns[2]));
2474}
2475static simd_bool SIMD_CFUNC simd_equal(simd_half3x4 __x, simd_half3x4 __y) {
2476    return simd_all((__x.columns[0] == __y.columns[0]) &
2477                      (__x.columns[1] == __y.columns[1]) &
2478                      (__x.columns[2] == __y.columns[2]));
2479}
2480static simd_bool SIMD_CFUNC simd_equal(simd_half4x2 __x, simd_half4x2 __y) {
2481    return simd_all((__x.columns[0] == __y.columns[0]) &
2482                      (__x.columns[1] == __y.columns[1]) &
2483                      (__x.columns[2] == __y.columns[2]) &
2484                      (__x.columns[3] == __y.columns[3]));
2485}
2486static simd_bool SIMD_CFUNC simd_equal(simd_half4x3 __x, simd_half4x3 __y) {
2487    return simd_all((__x.columns[0] == __y.columns[0]) &
2488                      (__x.columns[1] == __y.columns[1]) &
2489                      (__x.columns[2] == __y.columns[2]) &
2490                      (__x.columns[3] == __y.columns[3]));
2491}
2492static simd_bool SIMD_CFUNC simd_equal(simd_half4x4 __x, simd_half4x4 __y) {
2493    return simd_all((__x.columns[0] == __y.columns[0]) &
2494                      (__x.columns[1] == __y.columns[1]) &
2495                      (__x.columns[2] == __y.columns[2]) &
2496                      (__x.columns[3] == __y.columns[3]));
2497}
2498static simd_bool SIMD_CFUNC simd_equal(simd_float2x2 __x, simd_float2x2 __y) {
2499    return simd_all((__x.columns[0] == __y.columns[0]) &
2500                      (__x.columns[1] == __y.columns[1]));
2501}
2502static simd_bool SIMD_CFUNC simd_equal(simd_float2x3 __x, simd_float2x3 __y) {
2503    return simd_all((__x.columns[0] == __y.columns[0]) &
2504                      (__x.columns[1] == __y.columns[1]));
2505}
2506static simd_bool SIMD_CFUNC simd_equal(simd_float2x4 __x, simd_float2x4 __y) {
2507    return simd_all((__x.columns[0] == __y.columns[0]) &
2508                      (__x.columns[1] == __y.columns[1]));
2509}
2510static simd_bool SIMD_CFUNC simd_equal(simd_float3x2 __x, simd_float3x2 __y) {
2511    return simd_all((__x.columns[0] == __y.columns[0]) &
2512                      (__x.columns[1] == __y.columns[1]) &
2513                      (__x.columns[2] == __y.columns[2]));
2514}
2515static simd_bool SIMD_CFUNC simd_equal(simd_float3x3 __x, simd_float3x3 __y) {
2516    return simd_all((__x.columns[0] == __y.columns[0]) &
2517                      (__x.columns[1] == __y.columns[1]) &
2518                      (__x.columns[2] == __y.columns[2]));
2519}
2520static simd_bool SIMD_CFUNC simd_equal(simd_float3x4 __x, simd_float3x4 __y) {
2521    return simd_all((__x.columns[0] == __y.columns[0]) &
2522                      (__x.columns[1] == __y.columns[1]) &
2523                      (__x.columns[2] == __y.columns[2]));
2524}
2525static simd_bool SIMD_CFUNC simd_equal(simd_float4x2 __x, simd_float4x2 __y) {
2526    return simd_all((__x.columns[0] == __y.columns[0]) &
2527                      (__x.columns[1] == __y.columns[1]) &
2528                      (__x.columns[2] == __y.columns[2]) &
2529                      (__x.columns[3] == __y.columns[3]));
2530}
2531static simd_bool SIMD_CFUNC simd_equal(simd_float4x3 __x, simd_float4x3 __y) {
2532    return simd_all((__x.columns[0] == __y.columns[0]) &
2533                      (__x.columns[1] == __y.columns[1]) &
2534                      (__x.columns[2] == __y.columns[2]) &
2535                      (__x.columns[3] == __y.columns[3]));
2536}
2537static simd_bool SIMD_CFUNC simd_equal(simd_float4x4 __x, simd_float4x4 __y) {
2538    return simd_all((__x.columns[0] == __y.columns[0]) &
2539                      (__x.columns[1] == __y.columns[1]) &
2540                      (__x.columns[2] == __y.columns[2]) &
2541                      (__x.columns[3] == __y.columns[3]));
2542}
2543static simd_bool SIMD_CFUNC simd_equal(simd_double2x2 __x, simd_double2x2 __y) {
2544    return simd_all((__x.columns[0] == __y.columns[0]) &
2545                      (__x.columns[1] == __y.columns[1]));
2546}
2547static simd_bool SIMD_CFUNC simd_equal(simd_double2x3 __x, simd_double2x3 __y) {
2548    return simd_all((__x.columns[0] == __y.columns[0]) &
2549                      (__x.columns[1] == __y.columns[1]));
2550}
2551static simd_bool SIMD_CFUNC simd_equal(simd_double2x4 __x, simd_double2x4 __y) {
2552    return simd_all((__x.columns[0] == __y.columns[0]) &
2553                      (__x.columns[1] == __y.columns[1]));
2554}
2555static simd_bool SIMD_CFUNC simd_equal(simd_double3x2 __x, simd_double3x2 __y) {
2556    return simd_all((__x.columns[0] == __y.columns[0]) &
2557                      (__x.columns[1] == __y.columns[1]) &
2558                      (__x.columns[2] == __y.columns[2]));
2559}
2560static simd_bool SIMD_CFUNC simd_equal(simd_double3x3 __x, simd_double3x3 __y) {
2561    return simd_all((__x.columns[0] == __y.columns[0]) &
2562                      (__x.columns[1] == __y.columns[1]) &
2563                      (__x.columns[2] == __y.columns[2]));
2564}
2565static simd_bool SIMD_CFUNC simd_equal(simd_double3x4 __x, simd_double3x4 __y) {
2566    return simd_all((__x.columns[0] == __y.columns[0]) &
2567                      (__x.columns[1] == __y.columns[1]) &
2568                      (__x.columns[2] == __y.columns[2]));
2569}
2570static simd_bool SIMD_CFUNC simd_equal(simd_double4x2 __x, simd_double4x2 __y) {
2571    return simd_all((__x.columns[0] == __y.columns[0]) &
2572                      (__x.columns[1] == __y.columns[1]) &
2573                      (__x.columns[2] == __y.columns[2]) &
2574                      (__x.columns[3] == __y.columns[3]));
2575}
2576static simd_bool SIMD_CFUNC simd_equal(simd_double4x3 __x, simd_double4x3 __y) {
2577    return simd_all((__x.columns[0] == __y.columns[0]) &
2578                      (__x.columns[1] == __y.columns[1]) &
2579                      (__x.columns[2] == __y.columns[2]) &
2580                      (__x.columns[3] == __y.columns[3]));
2581}
2582static simd_bool SIMD_CFUNC simd_equal(simd_double4x4 __x, simd_double4x4 __y) {
2583    return simd_all((__x.columns[0] == __y.columns[0]) &
2584                      (__x.columns[1] == __y.columns[1]) &
2585                      (__x.columns[2] == __y.columns[2]) &
2586                      (__x.columns[3] == __y.columns[3]));
2587}
2588
2589static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x2 __x, simd_half2x2 __y, _Float16 __tol) {
2590    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2591                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2592}
2593static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x3 __x, simd_half2x3 __y, _Float16 __tol) {
2594    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2595                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2596}
2597static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half2x4 __x, simd_half2x4 __y, _Float16 __tol) {
2598    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2599                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2600}
2601static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x2 __x, simd_half3x2 __y, _Float16 __tol) {
2602    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2603                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2604                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2605}
2606static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x3 __x, simd_half3x3 __y, _Float16 __tol) {
2607    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2608                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2609                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2610}
2611static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half3x4 __x, simd_half3x4 __y, _Float16 __tol) {
2612    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2613                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2614                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2615}
2616static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x2 __x, simd_half4x2 __y, _Float16 __tol) {
2617    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2618                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2619                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2620                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2621}
2622static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x3 __x, simd_half4x3 __y, _Float16 __tol) {
2623    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2624                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2625                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2626                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2627}
2628static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_half4x4 __x, simd_half4x4 __y, _Float16 __tol) {
2629    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2630                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2631                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2632                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2633}
2634static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x2 __x, simd_float2x2 __y, float __tol) {
2635    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2636                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2637}
2638static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x3 __x, simd_float2x3 __y, float __tol) {
2639    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2640                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2641}
2642static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float2x4 __x, simd_float2x4 __y, float __tol) {
2643    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2644                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2645}
2646static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x2 __x, simd_float3x2 __y, float __tol) {
2647    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2648                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2649                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2650}
2651static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x3 __x, simd_float3x3 __y, float __tol) {
2652    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2653                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2654                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2655}
2656static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float3x4 __x, simd_float3x4 __y, float __tol) {
2657    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2658                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2659                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2660}
2661static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x2 __x, simd_float4x2 __y, float __tol) {
2662    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2663                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2664                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2665                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2666}
2667static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x3 __x, simd_float4x3 __y, float __tol) {
2668    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2669                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2670                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2671                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2672}
2673static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_float4x4 __x, simd_float4x4 __y, float __tol) {
2674    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2675                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2676                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2677                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2678}
2679static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x2 __x, simd_double2x2 __y, double __tol) {
2680    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2681                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2682}
2683static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x3 __x, simd_double2x3 __y, double __tol) {
2684    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2685                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2686}
2687static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double2x4 __x, simd_double2x4 __y, double __tol) {
2688    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2689                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol));
2690}
2691static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x2 __x, simd_double3x2 __y, double __tol) {
2692    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2693                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2694                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2695}
2696static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x3 __x, simd_double3x3 __y, double __tol) {
2697    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2698                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2699                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2700}
2701static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double3x4 __x, simd_double3x4 __y, double __tol) {
2702    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2703                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2704                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol));
2705}
2706static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x2 __x, simd_double4x2 __y, double __tol) {
2707    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2708                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2709                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2710                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2711}
2712static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x3 __x, simd_double4x3 __y, double __tol) {
2713    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2714                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2715                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2716                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2717}
2718static simd_bool SIMD_CFUNC simd_almost_equal_elements(simd_double4x4 __x, simd_double4x4 __y, double __tol) {
2719    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol) &
2720                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol) &
2721                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol) &
2722                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol));
2723}
2724
2725static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x2 __x, simd_half2x2 __y, _Float16 __tol) {
2726    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2727                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2728}
2729static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x3 __x, simd_half2x3 __y, _Float16 __tol) {
2730    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2731                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2732}
2733static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half2x4 __x, simd_half2x4 __y, _Float16 __tol) {
2734    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2735                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2736}
2737static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x2 __x, simd_half3x2 __y, _Float16 __tol) {
2738    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2739                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2740                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2741}
2742static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x3 __x, simd_half3x3 __y, _Float16 __tol) {
2743    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2744                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2745                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2746}
2747static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half3x4 __x, simd_half3x4 __y, _Float16 __tol) {
2748    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2749                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2750                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2751}
2752static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x2 __x, simd_half4x2 __y, _Float16 __tol) {
2753    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2754                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2755                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2756                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2757}
2758static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x3 __x, simd_half4x3 __y, _Float16 __tol) {
2759    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2760                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2761                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2762                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2763}
2764static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_half4x4 __x, simd_half4x4 __y, _Float16 __tol) {
2765    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2766                    (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2767                    (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2768                    (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2769}
2770static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x2 __x, simd_float2x2 __y, float __tol) {
2771    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2772                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2773}
2774static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x3 __x, simd_float2x3 __y, float __tol) {
2775    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2776                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2777}
2778static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float2x4 __x, simd_float2x4 __y, float __tol) {
2779    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2780                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2781}
2782static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x2 __x, simd_float3x2 __y, float __tol) {
2783    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2784                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2785                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2786}
2787static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x3 __x, simd_float3x3 __y, float __tol) {
2788    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2789                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2790                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2791}
2792static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float3x4 __x, simd_float3x4 __y, float __tol) {
2793    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2794                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2795                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2796}
2797static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x2 __x, simd_float4x2 __y, float __tol) {
2798    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2799                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2800                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2801                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2802}
2803static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x3 __x, simd_float4x3 __y, float __tol) {
2804    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2805                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2806                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2807                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2808}
2809static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_float4x4 __x, simd_float4x4 __y, float __tol) {
2810    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2811                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2812                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2813                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2814}
2815static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x2 __x, simd_double2x2 __y, double __tol) {
2816    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2817                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2818}
2819static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x3 __x, simd_double2x3 __y, double __tol) {
2820    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2821                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2822}
2823static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double2x4 __x, simd_double2x4 __y, double __tol) {
2824    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2825                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])));
2826}
2827static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x2 __x, simd_double3x2 __y, double __tol) {
2828    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2829                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2830                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2831}
2832static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x3 __x, simd_double3x3 __y, double __tol) {
2833    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2834                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2835                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2836}
2837static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double3x4 __x, simd_double3x4 __y, double __tol) {
2838    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2839                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2840                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])));
2841}
2842static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x2 __x, simd_double4x2 __y, double __tol) {
2843    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2844                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2845                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2846                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2847}
2848static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x3 __x, simd_double4x3 __y, double __tol) {
2849    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2850                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2851                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2852                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2853}
2854static simd_bool SIMD_CFUNC simd_almost_equal_elements_relative(simd_double4x4 __x, simd_double4x4 __y, double __tol) {
2855    return simd_all((__tg_fabs(__x.columns[0] - __y.columns[0]) <= __tol*__tg_fabs(__x.columns[0])) &
2856                      (__tg_fabs(__x.columns[1] - __y.columns[1]) <= __tol*__tg_fabs(__x.columns[1])) &
2857                      (__tg_fabs(__x.columns[2] - __y.columns[2]) <= __tol*__tg_fabs(__x.columns[2])) &
2858                      (__tg_fabs(__x.columns[3] - __y.columns[3]) <= __tol*__tg_fabs(__x.columns[3])));
2859}
2860    
2861#ifdef __cplusplus
2862}
2863#endif
2864#endif /* SIMD_COMPILER_HAS_REQUIRED_FEATURES */
2865#endif /* __SIMD_HEADER__ */