#include "common_defs.h"

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Functions
Small helper functions
VA_DEVICE_FUN VA_REAL	valib_sign (VA_REAL a, VA_REAL b)

VA_DEVICE_FUN VA_REAL	valib_cabs (VA_DOUBLE_COMPLEX a)

VA_DEVICE_FUN VA_DOUBLE_COMPLEX	valib_cmultiply (VA_DOUBLE_COMPLEX a, VA_DOUBLE_COMPLEX b)

VA_DEVICE_FUN VA_REAL	valib_cubic_root (VA_REAL x)

VA_DEVICE_FUN VA_REAL	valib_max (VA_REAL a, VA_REAL b)

VA_DEVICE_FUN VA_REAL	valib_min (VA_REAL a, VA_REAL b)

VA_DEVICE_FUN VA_REAL	valib_square (VA_REAL a)

VA_DEVICE_FUN void	valib_swap_values (VA_REAL a, VA_REAL b)

VA_DEVICE_FUN void	valib_solve_cubic_equation (VA_REAL a, VA_REAL b, VA_REAL c, VA_REAL d, VA_COMPLEX x1, VA_COMPLEX x2, VA_COMPLEX x3, int info)

Operations on vectors of length 3
VA_DEVICE_FUN void	valib_vec_zero3 (VA_REAL *v)

VA_DEVICE_FUN VA_REAL	valib_scalar_prod3 (VA_REAL v1, VA_REAL v2)

VA_DEVICE_FUN void	valib_cross_prod3 (VA_REAL v1, VA_REAL v2, VA_REAL *v3)

Operations on 3x3 matrices
VA_DEVICE_FUN void	valib_mat_zero3 (VA_REAL *A)

VA_DEVICE_FUN void	valib_mat_copy3 (VA_REAL A, VA_REAL B)

VA_DEVICE_FUN void	valib_norm_frobenius3 (VA_REAL A, VA_REAL norm)

VA_DEVICE_FUN void	valib_trace3 (VA_REAL A, VA_REAL tr3)

VA_DEVICE_FUN void	valib_second_invariant3 (VA_REAL A, VA_REAL second_invariant)

VA_DEVICE_FUN void	valib_determinant3 (VA_REAL A, VA_REAL det)

VA_DEVICE_FUN void	valib_transpose3 (VA_REAL *A)

VA_DEVICE_FUN void	valib_sym_antisym3 (VA_REAL *A)

VA_DEVICE_FUN void	valib_deviatorise3 (VA_REAL *A)

VA_DEVICE_FUN void	valib_matvec3_prod (int trans_a, VA_REAL A, VA_REAL x, VA_REAL *y)

VA_DEVICE_FUN void	valib_rank1_update3 (VA_REAL alpha, VA_REAL x, VA_REAL y, VA_REAL *A)

VA_DEVICE_FUN void	valib_tatt3 (VA_REAL A, VA_REAL T, VA_REAL *TATT)

VA_DEVICE_FUN void	valib_matmat3_prod (int trans_a, int trans_b, VA_REAL A, VA_REAL B, VA_REAL *C)

VA_DEVICE_FUN void	valib_ttat3 (VA_REAL A, VA_REAL T, VA_REAL *TTAT)

VA_DEVICE_FUN void	valib_gram_schmidt3 (VA_REAL *Q)

VA_DEVICE_FUN void	valib_eigenvalues_sym3 (VA_REAL A, VA_REAL eigval)

VA_DEVICE_FUN int	valib_find_pivot3 (VA_REAL *A, int jcol, int start)

VA_DEVICE_FUN void	valib_find_nullspace3 (VA_REAL A, VA_REAL x, int *info)

VA_DEVICE_FUN void	valib_constructQ3 (VA_REAL sina, VA_REAL cosa, VA_REAL sinb, VA_REAL cosb, VA_REAL sing, VA_REAL cosg, VA_REAL *Q)

VA_DEVICE_FUN void	valib_constructQfromN3 (VA_REAL n, VA_REAL Q)

Functions