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Singular Value Decomposition of a Fixed Size Matrix
[Fixed Size Matrices]

Defines
#define	gel(M, i, j)   gan_mat_get_el(M,i,j)
#define	sel(M, i, j, v)   gan_mat_set_el(M,i,j,v)
#define	sgel(M, i, j)   gan_squmat_get_el(M,i,j)
#define	ssel(M, i, j, v)   gan_squmat_set_el(M,i,j,v)
#define	WORKSPACE_SIZE   0
Functions
Gan_Bool	gan_mat33_svd (Gan_Matrix33 *A, Gan_Matrix33 *U, Gan_Vector3 *S, Gan_Matrix33 *VT)
	Singular value decomposition of 3x3 matrix.
Gan_Bool	gan_mat33T_svd (Gan_Matrix33 *A, Gan_Matrix33 *U, Gan_Vector3 *S, Gan_Matrix33 *VT)
	Singular value decomposition of the transpose of a 3x3 matrix.
Gan_Bool	gan_mat33f_svd (Gan_Matrix33_f *A, Gan_Matrix33_f *U, Gan_Vector3_f *S, Gan_Matrix33_f *VT)
	Singular value decomposition of 3x3 matrix.
Gan_Bool	gan_mat33Tf_svd (Gan_Matrix33_f *A, Gan_Matrix33_f *U, Gan_Vector3_f *S, Gan_Matrix33_f *VT)
	Singular value decomposition of the transpose of a 3x3 matrix.
Gan_Bool	gan_mat44_svd (Gan_Matrix44 *A, Gan_Matrix44 *U, Gan_Vector4 *S, Gan_Matrix44 *VT)
	Singular value decomposition of 4x4 matrix.
Gan_Bool	gan_mat44T_svd (Gan_Matrix44 *A, Gan_Matrix44 *U, Gan_Vector4 *S, Gan_Matrix44 *VT)
	Singular value decomposition of the transpose of a 4x4 matrix.
Gan_Bool	gan_mat44f_svd (Gan_Matrix44_f *A, Gan_Matrix44_f *U, Gan_Vector4_f *S, Gan_Matrix44_f *VT)
	Singular value decomposition of 4x4 matrix.
Gan_Bool	gan_mat44Tf_svd (Gan_Matrix44_f *A, Gan_Matrix44_f *U, Gan_Vector4_f *S, Gan_Matrix44_f *VT)
	Singular value decomposition of the transpose of a 4x4 matrix.

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Function Documentation

Gan_Bool gan_mat33_svd (  Gan_Matrix33 *    A, Gan_Matrix33 *    U, Gan_Vector3 *    S, Gan_Matrix33 *    VT )

Singular value decomposition of 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of a 3x3 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat33f_svd (  Gan_Matrix33_f *    A, Gan_Matrix33_f *    U, Gan_Vector3_f *    S, Gan_Matrix33_f *    VT )

Singular value decomposition of 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of a 3x3 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat33T_svd (  Gan_Matrix33 *    A, Gan_Matrix33 *    U, Gan_Vector3 *    S, Gan_Matrix33 *    VT )

Singular value decomposition of the transpose of a 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of the transpose of a 3x3 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat33Tf_svd (  Gan_Matrix33_f *    A, Gan_Matrix33_f *    U, Gan_Vector3_f *    S, Gan_Matrix33_f *    VT )

Singular value decomposition of the transpose of a 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of the transpose of a 3x3 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat44_svd (  Gan_Matrix44 *    A, Gan_Matrix44 *    U, Gan_Vector4 *    S, Gan_Matrix44 *    VT )

Singular value decomposition of 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of a 4x4 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat44f_svd (  Gan_Matrix44_f *    A, Gan_Matrix44_f *    U, Gan_Vector4_f *    S, Gan_Matrix44_f *    VT )

Singular value decomposition of 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of a 4x4 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat44T_svd (  Gan_Matrix44 *    A, Gan_Matrix44 *    U, Gan_Vector4 *    S, Gan_Matrix44 *    VT )

Singular value decomposition of the transpose of a 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of the transpose of a 4x4 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat44Tf_svd (  Gan_Matrix44_f *    A, Gan_Matrix44_f *    U, Gan_Vector4_f *    S, Gan_Matrix44_f *    VT )

Singular value decomposition of the transpose of a 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the SVD of the transpose of a 4x4 input matrix A as where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors. NOTE: the contents of A are NOT destroyed. The singular values S are provided in decending order. This function calls the general SVD routine gan_matf_svd().

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