math_matrix.h File Reference

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Macros
#define	MAT(A, size, row, col)   A[(row) * (size) + (col)]
#define	MATS(A, n, r, c, s)   MAT(A, n, r, c)
#define	MATHS(A, r, c, s)   A[(r) * ((r) + 1) / 2 + (c)]
#define	VECS(V, i, s)   V[i]
#define	ROT(M, r1, c1, r2, c2, stride)

Functions
ccl_device_inline void	math_vector_zero (ccl_private float *v, int n)
ccl_device_inline void	math_matrix_zero (ccl_private float *A, int n)
ccl_device_inline void	math_vector_add (ccl_private float *a, ccl_private const float *ccl_restrict b, int n)
ccl_device_inline void	math_vector_mul (ccl_private float *a, ccl_private const float *ccl_restrict b, int n)
ccl_device_inline void	math_vector_mul_strided (ccl_global float *a, ccl_private const float *ccl_restrict b, int astride, int n)
ccl_device_inline void	math_vector_scale (ccl_private float *a, float b, int n)
ccl_device_inline void	math_vector_max (ccl_private float *a, ccl_private const float *ccl_restrict b, int n)
ccl_device_inline void	math_vec3_add (ccl_private float3 *v, int n, ccl_private float *x, float3 w)
ccl_device_inline void	math_vec3_add_strided (ccl_global float3 *v, int n, ccl_private float *x, float3 w, int stride)
ccl_device_inline void	math_trimatrix_add_diagonal (ccl_global float *A, int n, float val, int stride)
ccl_device_inline void	math_matrix_add_gramian (ccl_private float *A, int n, ccl_private const float *ccl_restrict v, float weight)
ccl_device_inline void	math_trimatrix_add_gramian_strided (ccl_global float *A, int n, ccl_private const float *ccl_restrict v, float weight, int stride)
ccl_device_inline void	math_trimatrix_add_gramian (ccl_global float *A, int n, ccl_private const float *ccl_restrict v, float weight)
ccl_device_inline void	math_matrix_transpose (ccl_global float *A, int n, int stride)
ccl_device void	math_trimatrix_cholesky (ccl_global float *A, int n, int stride)
ccl_device_inline void	math_trimatrix_vec3_solve (ccl_global float *A, ccl_global float3 *y, int n, int stride)
ccl_device void	math_matrix_jacobi_eigendecomposition (ccl_private float *A, ccl_global float *V, int n, int v_stride)

Macro Definition Documentation

MAT

#define MAT	(		A,
			size,
			row,
			col )   A[(row) * (size) + (col)]

Definition at line 10 of file math_matrix.h.

Referenced by math_matrix_add_gramian(), math_matrix_jacobi_eigendecomposition(), and math_matrix_zero().

MATHS

#define MATHS	(		A,
			r,
			c,
			s )   A[(r) * ((r) + 1) / 2 + (c)]

Definition at line 20 of file math_matrix.h.

Referenced by math_trimatrix_add_diagonal(), math_trimatrix_add_gramian(), math_trimatrix_add_gramian_strided(), math_trimatrix_cholesky(), and math_trimatrix_vec3_solve().

MATS

#define MATS	(		A,
			n,
			r,
			c,
			s )   MAT(A, n, r, c)

Definition at line 19 of file math_matrix.h.

Referenced by math_matrix_jacobi_eigendecomposition(), and math_matrix_transpose().

ROT

#define ROT	(		M,
			r1,
			c1,
			r2,
			c2,
			stride )

Value:

  { \
    float M1 = MATS(M, n, r1, c1, stride); \
    float M2 = MATS(M, n, r2, c2, stride); \
    MATS(M, n, r1, c1, stride) -= s * (M2 + tan_phi_2 * M1); \
    MATS(M, n, r2, c2, stride) += s * (M1 - tan_phi_2 * M2); \
  }

Referenced by math_matrix_jacobi_eigendecomposition().

VECS

#define VECS	(		V,
			i,
			s )   V[i]

Definition at line 21 of file math_matrix.h.

Referenced by math_trimatrix_vec3_solve().

Function Documentation

math_matrix_add_gramian()

ccl_device_inline void math_matrix_add_gramian	(	ccl_private float *	A,
		int	n,
		ccl_private const float *ccl_restrict	v,
		float	weight )

Definition at line 122 of file math_matrix.h.

References col, MAT, and v.

math_matrix_jacobi_eigendecomposition()

ccl_device void math_matrix_jacobi_eigendecomposition	(	ccl_private float *	A,
		ccl_global float *	V,
		int	n,
		int	v_stride )

Definition at line 241 of file math_matrix.h.

References col, element, fabsf, MAT, MATS, ROT, sqrtf, V, and v.

math_matrix_transpose()

ccl_device_inline void math_matrix_transpose	(	ccl_global float *	A,
		int	n,
		int	stride )

Definition at line 159 of file math_matrix.h.

References MATS.

math_matrix_zero()

ccl_device_inline void math_matrix_zero	(	ccl_private float *	A,
		int	n )

Definition at line 33 of file math_matrix.h.

References col, and MAT.

math_trimatrix_add_diagonal()

ccl_device_inline void math_trimatrix_add_diagonal	(	ccl_global float *	A,
		int	n,
		float	val,
		int	stride )

Definition at line 110 of file math_matrix.h.

References MATHS.

Referenced by math_trimatrix_vec3_solve().

math_trimatrix_add_gramian()

ccl_device_inline void math_trimatrix_add_gramian	(	ccl_global float *	A,
		int	n,
		ccl_private const float *ccl_restrict	v,
		float	weight )

Definition at line 146 of file math_matrix.h.

References atomic_add_and_fetch_float, col, MATHS, and v.

math_trimatrix_add_gramian_strided()

ccl_device_inline void math_trimatrix_add_gramian_strided	(	ccl_global float *	A,
		int	n,
		ccl_private const float *ccl_restrict	v,
		float	weight,
		int	stride )

Definition at line 136 of file math_matrix.h.

References atomic_add_and_fetch_float, col, MATHS, and v.

math_trimatrix_cholesky()

ccl_device void math_trimatrix_cholesky	(	ccl_global float *	A,
		int	n,
		int	stride )

Definition at line 175 of file math_matrix.h.

References col, MATHS, max, and sqrtf.

Referenced by math_trimatrix_vec3_solve().

math_trimatrix_vec3_solve()

ccl_device_inline void math_trimatrix_vec3_solve	(	ccl_global float *	A,
		ccl_global float3 *	y,
		int	n,
		int	stride )

Definition at line 205 of file math_matrix.h.

References col, math_trimatrix_add_diagonal(), math_trimatrix_cholesky(), MATHS, sum(), and VECS.

math_vec3_add()

ccl_device_inline void math_vec3_add	(	ccl_private float3 *	v,
		int	n,
		ccl_private float *	x,
		float3	w )

Definition at line 88 of file math_matrix.h.

References v, and w().

math_vec3_add_strided()

ccl_device_inline void math_vec3_add_strided	(	ccl_global float3 *	v,
		int	n,
		ccl_private float *	x,
		float3	w,
		int	stride )

Definition at line 95 of file math_matrix.h.

References atomic_add_and_fetch_float, ccl_global, v, and w().

math_vector_add()

ccl_device_inline void math_vector_add	(	ccl_private float *	a,
		ccl_private const float *ccl_restrict	b,
		int	n )

Definition at line 44 of file math_matrix.h.

References b.

math_vector_max()

ccl_device_inline void math_vector_max	(	ccl_private float *	a,
		ccl_private const float *ccl_restrict	b,
		int	n )

Definition at line 79 of file math_matrix.h.

References b, and max.

math_vector_mul()

ccl_device_inline void math_vector_mul	(	ccl_private float *	a,
		ccl_private const float *ccl_restrict	b,
		int	n )

Definition at line 53 of file math_matrix.h.

References b.

math_vector_mul_strided()

ccl_device_inline void math_vector_mul_strided	(	ccl_global float *	a,
		ccl_private const float *ccl_restrict	b,
		int	astride,
		int	n )

Definition at line 62 of file math_matrix.h.

References b.

math_vector_scale()

ccl_device_inline void math_vector_scale	(	ccl_private float *	a,
		float	b,
		int	n )

Definition at line 72 of file math_matrix.h.

References b.

math_vector_zero()

ccl_device_inline void math_vector_zero	(	ccl_private float *	v,
		int	n )

Definition at line 26 of file math_matrix.h.

References v.