2x2matrix.c File Reference

#include <math.h>
#include <string.h>
#include <gandalf/linalg/2x2matrix.h>
#include <gandalf/common/misc_error.h>
#include <gandalf/linalg/mat_symmetric.h>
#include <gandalf/linalg/mat_diagonal.h>
#include <gandalf/linalg/mat_scaledI.h>
#include <gandalf/linalg/mat_triangular.h>
#include <gandalf/common/endian_io.h>

Defines
#define	GAN_MATTYPE   Gan_Matrix22
#define	GAN_MATRIX_TYPE   Gan_Matrix
#define	GAN_SQUMATRIX_TYPE   Gan_SquMatrix
#define	GAN_VECTOR_TYPE   Gan_Vector
#define	GAN_MAT_ELEMENT_TYPE   GAN_DOUBLE
#define	GAN_REALTYPE   double
#define	GAN_FWRITE_LENDIAN   gan_fwrite_lendian_f64
#define	GAN_FREAD_LENDIAN   gan_fread_lendian_f64
#define	GAN_VECTYPE1   Gan_Vector2
#define	GAN_VECTYPE2   Gan_Vector2
#define	GAN_MATTYPEL   Gan_Matrix22
#define	GAN_MATTYPER   Gan_Matrix22
#define	GAN_SQUMATTYPEL   Gan_SquMatrix22
#define	GAN_SQUMATTYPER   Gan_SquMatrix22
#define	GAN_MAT_FPRINT   gan_mat22_fprint
#define	GAN_MAT_PRINT   gan_mat22_print
#define	GAN_MAT_FSCANF   gan_mat22_fscanf
#define	GAN_MAT_FWRITE   gan_mat22_fwrite
#define	GAN_MAT_FREAD   gan_mat22_fread
#define	GAN_MAT_ZERO_Q   gan_mat22_zero_q
#define	GAN_MAT_ZERO_S   gan_mat22_zero_s
#define	GAN_MAT_COPY_Q   gan_mat22_copy_q
#define	GAN_MAT_COPY_S   gan_mat22_copy_s
#define	GAN_MAT_SCALE_Q   gan_mat22_scale_q
#define	GAN_MAT_SCALE_I   gan_mat22_scale_i
#define	GAN_MAT_SCALE_S   gan_mat22_scale_s
#define	GAN_MAT_DIVIDE_Q   gan_mat22_divide_q
#define	GAN_MAT_DIVIDE_I   gan_mat22_divide_i
#define	GAN_MAT_DIVIDE_S   gan_mat22_divide_s
#define	GAN_MAT_NEGATE_Q   gan_mat22_negate_q
#define	GAN_MAT_NEGATE_I   gan_mat22_negate_i
#define	GAN_MAT_NEGATE_S   gan_mat22_negate_s
#define	GAN_MAT_UNIT_Q   gan_mat22_unit_q
#define	GAN_MAT_UNIT_I   gan_mat22_unit_i
#define	GAN_MAT_UNIT_S   gan_mat22_unit_s
#define	GAN_MAT_ADD_Q   gan_mat22_add_q
#define	GAN_MAT_ADD_I1   gan_mat22_add_i1
#define	GAN_MAT_ADD_I2   gan_mat22_add_i2
#define	GAN_MAT_INCREMENT   gan_mat22_increment
#define	GAN_MAT_ADD_S   gan_mat22_add_s
#define	GAN_MAT_SUB_Q   gan_mat22_sub_q
#define	GAN_MAT_SUB_I1   gan_mat22_sub_i1
#define	GAN_MAT_SUB_I2   gan_mat22_sub_i2
#define	GAN_MAT_DECREMENT   gan_mat22_decrement
#define	GAN_MAT_SUB_S   gan_mat22_sub_s
#define	GAN_VEC_OUTER_Q   gan_vec22_outer_q
#define	GAN_VEC_OUTER_S   gan_vec22_outer_s
#define	GAN_MAT_MULTV_Q   gan_mat22_multv2_q
#define	GAN_MAT_MULTV_S   gan_mat22_multv2_s
#define	GAN_MATT_MULTV_Q   gan_mat22T_multv2_q
#define	GAN_MATT_MULTV_S   gan_mat22T_multv2_s
#define	GAN_MAT_LMULTMT_Q   gan_mat22_lmultm22T_q
#define	GAN_MAT_LMULTMT_S   gan_mat22_lmultm22T_s
#define	GAN_MAT_RMULTM_Q   gan_mat22_rmultm22_q
#define	GAN_MAT_RMULTM_S   gan_mat22_rmultm22_s
#define	GAN_MAT_RMULTMT_Q   gan_mat22_rmultm22T_q
#define	GAN_MAT_RMULTMT_S   gan_mat22_rmultm22T_s
#define	GAN_MAT_LMULTMT_SYM_Q   gan_mat22_lmultm22T_sym_q
#define	GAN_MAT_LMULTMT_SYM_S   gan_mat22_lmultm22T_sym_s
#define	GAN_MAT_RMULTMT_SYM_Q   gan_mat22_rmultm22T_sym_q
#define	GAN_MAT_RMULTMT_SYM_S   gan_mat22_rmultm22T_sym_s
#define	GAN_MAT_SLMULTT_Q   gan_mat22_slmultT_q
#define	GAN_MAT_SLMULTT_S   gan_mat22_slmultT_s
#define	GAN_MAT_SRMULTT_Q   gan_mat22_srmultT_q
#define	GAN_MAT_SRMULTT_S   gan_mat22_srmultT_s
#define	GAN_MAT_LMULTS_Q   gan_mat22_lmults22_q
#define	GAN_MAT_LMULTS_S   gan_mat22_lmults22_s
#define	GAN_MAT_RMULTS_Q   gan_mat22_rmults22_q
#define	GAN_MAT_RMULTS_S   gan_mat22_rmults22_s
#define	GAN_SYMMATL_LRMULT_Q   gan_symmat22_lrmultm22T_q
#define	GAN_SYMMATL_LRMULT_S   gan_symmat22_lrmultm22T_s
#define	GAN_SYMMATR_LRMULT_Q   gan_symmat22_lrmultm22_q
#define	GAN_SYMMATR_LRMULT_S   gan_symmat22_lrmultm22_s
#define	GAN_MAT_LMULTL_Q   gan_mat22_lmultl22_q
#define	GAN_MAT_LMULTL_S   gan_mat22_lmultl22_s
#define	GAN_MAT_LMULTL_I   gan_mat22_lmultl22_i
#define	GAN_MAT_LMULTLI_Q   gan_mat22_lmultl22I_q
#define	GAN_MAT_LMULTLI_S   gan_mat22_lmultl22I_s
#define	GAN_MAT_LMULTLI_I   gan_mat22_lmultl22I_i
#define	GAN_MAT_LMULTLT_Q   gan_mat22_lmultl22T_q
#define	GAN_MAT_LMULTLT_S   gan_mat22_lmultl22T_s
#define	GAN_MAT_LMULTLT_I   gan_mat22_lmultl22T_i
#define	GAN_MAT_LMULTLIT_Q   gan_mat22_lmultl22IT_q
#define	GAN_MAT_LMULTLIT_S   gan_mat22_lmultl22IT_s
#define	GAN_MAT_LMULTLIT_I   gan_mat22_lmultl22IT_i
#define	GAN_MAT_RMULTL_Q   gan_mat22_rmultl22_q
#define	GAN_MAT_RMULTL_S   gan_mat22_rmultl22_s
#define	GAN_MAT_RMULTL_I   gan_mat22_rmultl22_i
#define	GAN_MAT_RMULTLI_Q   gan_mat22_rmultl22I_q
#define	GAN_MAT_RMULTLI_S   gan_mat22_rmultl22I_s
#define	GAN_MAT_RMULTLI_I   gan_mat22_rmultl22I_i
#define	GAN_MAT_RMULTLT_Q   gan_mat22_rmultl22T_q
#define	GAN_MAT_RMULTLT_S   gan_mat22_rmultl22T_s
#define	GAN_MAT_RMULTLT_I   gan_mat22_rmultl22T_i
#define	GAN_MAT_RMULTLIT_Q   gan_mat22_rmultl22IT_q
#define	GAN_MAT_RMULTLIT_S   gan_mat22_rmultl22IT_s
#define	GAN_MAT_RMULTLIT_I   gan_mat22_rmultl22IT_i
#define	GAN_MAT_SUMSQR_Q   gan_mat22_sumsqr_q
#define	GAN_MAT_SUMSQR_S   gan_mat22_sumsqr_s
#define	GAN_MAT_FNORM_Q   gan_mat22_Fnorm_q
#define	GAN_MAT_FNORM_S   gan_mat22_Fnorm_s
#define	GAN_MAT_FROM_MAT_Q   gan_mat22_from_mat_q
#define	GAN_MAT_FROM_MAT_S   gan_mat22_from_mat_s
#define	GAN_MAT_FROM_SQUMAT_Q   gan_mat22_from_squmat_q
#define	GAN_MAT_FROM_SQUMAT_S   gan_mat22_from_squmat_s
#define	GAN_SQUMAT_FROM_SQUMAT_Q   gan_squmat22_from_squmat_q
#define	GAN_SQUMAT_FROM_SQUMAT_S   gan_squmat22_from_squmat_s
#define	GAN_SQUMAT_IDENT_Q   gan_mat22_ident_q
#define	GAN_SQUMAT_IDENT_S   gan_mat22_ident_s
#define	GAN_SQUMAT_TPOSE_Q   gan_mat22_tpose_q
#define	GAN_SQUMAT_TPOSE_S   gan_mat22_tpose_s
#define	GAN_SQUMAT_TPOSE_I   gan_mat22_tpose_i
#define	GAN_MAT_SADDT_Q   gan_mat22_saddT_q
#define	GAN_MAT_SADDT_S   gan_mat22_saddT_s
#define	GAN_SQUMAT_INVERT   gan_mat22_invert
#define	GAN_SQUMAT_INVERT_Q   gan_mat22_invert_q
#define	GAN_SQUMAT_INVERT_S   gan_mat22_invert_s
#define	GAN_SQUMAT_INVERT_I   gan_mat22_invert_i
#define	GAN_SQUMAT_ADJOINT_Q   gan_mat22_adjoint_q
#define	GAN_SQUMAT_ADJOINT_S   gan_mat22_adjoint_s
#define	GAN_SQUMAT_ADJOINTT_Q   gan_mat22_adjointT_q
#define	GAN_SQUMAT_ADJOINTT_S   gan_mat22_adjointT_s
#define	GAN_SQUMAT_DET_Q   gan_mat22_det_q
#define	GAN_SQUMAT_DET_S   gan_mat22_det_s
#define	GAN_SQUMAT_TRACE_Q   gan_mat22_trace_q
#define	GAN_SQUMAT_TRACE_S   gan_mat22_trace_s
#define	GAN_MATTYPE   Gan_SquMatrix22
#define	GAN_MATRIX_TYPE   Gan_SquMatrix
#define	GAN_SQUMATRIX_TYPE   Gan_SquMatrix
#define	GAN_VECTOR_TYPE   Gan_Vector
#define	GAN_MAT_ELEMENT_TYPE   GAN_DOUBLE
#define	GAN_REALTYPE   double
#define	GAN_FWRITE_LENDIAN   gan_fwrite_lendian_f64
#define	GAN_FREAD_LENDIAN   gan_fread_lendian_f64
#define	GAN_VECTYPE1   Gan_Vector2
#define	GAN_VECTYPE2   Gan_Vector2
#define	GAN_FIXED_MATRIX_TYPE   GAN_SYMMETRIC_MATRIX22
#define	GAN_MAT_FPRINT   gan_symmat22_fprint
#define	GAN_MAT_PRINT   gan_symmat22_print
#define	GAN_MAT_FSCANF   gan_symmat22_fscanf
#define	GAN_MAT_FWRITE   gan_symmat22_fwrite
#define	GAN_MAT_FREAD   gan_symmat22_fread
#define	GAN_MAT_ZERO_Q   gan_symmat22_zero_q
#define	GAN_MAT_ZERO_S   gan_symmat22_zero_s
#define	GAN_MAT_COPY_Q   gan_symmat22_copy_q
#define	GAN_MAT_COPY_S   gan_symmat22_copy_s
#define	GAN_MAT_SCALE_Q   gan_symmat22_scale_q
#define	GAN_MAT_SCALE_S   gan_symmat22_scale_s
#define	GAN_MAT_SCALE_I   gan_symmat22_scale_i
#define	GAN_MAT_DIVIDE_Q   gan_symmat22_divide_q
#define	GAN_MAT_DIVIDE_S   gan_symmat22_divide_s
#define	GAN_MAT_DIVIDE_I   gan_symmat22_divide_i
#define	GAN_MAT_NEGATE_Q   gan_symmat22_negate_q
#define	GAN_MAT_NEGATE_S   gan_symmat22_negate_s
#define	GAN_MAT_NEGATE_I   gan_symmat22_negate_i
#define	GAN_MAT_UNIT_Q   gan_symmat22_unit_q
#define	GAN_MAT_UNIT_S   gan_symmat22_unit_s
#define	GAN_MAT_UNIT_I   gan_symmat22_unit_i
#define	GAN_MAT_ADD_Q   gan_symmat22_add_q
#define	GAN_MAT_ADD_I1   gan_symmat22_add_i1
#define	GAN_MAT_ADD_I2   gan_symmat22_add_i2
#define	GAN_MAT_INCREMENT   gan_symmat22_increment
#define	GAN_MAT_ADD_S   gan_symmat22_add_s
#define	GAN_MAT_SUB_Q   gan_symmat22_sub_q
#define	GAN_MAT_SUB_I1   gan_symmat22_sub_i1
#define	GAN_MAT_SUB_I2   gan_symmat22_sub_i2
#define	GAN_MAT_DECREMENT   gan_symmat22_decrement
#define	GAN_MAT_SUB_S   gan_symmat22_sub_s
#define	GAN_MAT_MULTV_Q   gan_symmat22_multv2_q
#define	GAN_MAT_MULTV_S   gan_symmat22_multv2_s
#define	GAN_MAT_SUMSQR_Q   gan_symmat22_sumsqr_q
#define	GAN_MAT_SUMSQR_S   gan_symmat22_sumsqr_s
#define	GAN_MAT_FNORM_Q   gan_symmat22_Fnorm_q
#define	GAN_MAT_FNORM_S   gan_symmat22_Fnorm_s
#define	GAN_SQUMAT_IDENT_Q   gan_symmat22_ident_q
#define	GAN_SQUMAT_IDENT_S   gan_symmat22_ident_s
#define	GAN_SQUMAT_INVERT   gan_symmat22_invert
#define	GAN_SQUMAT_INVERT_Q   gan_symmat22_invert_q
#define	GAN_SQUMAT_INVERT_S   gan_symmat22_invert_s
#define	GAN_SQUMAT_INVERT_I   gan_symmat22_invert_i
#define	GAN_SQUMAT_DET_Q   gan_symmat22_det_q
#define	GAN_SQUMAT_DET_S   gan_symmat22_det_s
#define	GAN_SQUMAT_TRACE_Q   gan_symmat22_trace_q
#define	GAN_SQUMAT_TRACE_S   gan_symmat22_trace_s
#define	GAN_VEC_OUTER_SYM_Q   gan_vec22_outer_sym_q
#define	GAN_VEC_OUTER_SYM_S   gan_vec22_outer_sym_s
#define	GAN_SYMMAT_CHOLESKY   gan_symmat22_cholesky
#define	GAN_SYMMAT_CHOLESKY_Q   gan_symmat22_cholesky_q
#define	GAN_SYMMAT_CHOLESKY_S   gan_symmat22_cholesky_s
#define	GAN_SYMMAT_CHOLESKY_I   gan_symmat22_cholesky_i
#define	GAN_MATTYPE   Gan_SquMatrix22
#define	GAN_MATRIX_TYPE   Gan_SquMatrix
#define	GAN_SQUMATRIX_TYPE   Gan_SquMatrix
#define	GAN_VECTOR_TYPE   Gan_Vector
#define	GAN_MAT_ELEMENT_TYPE   GAN_DOUBLE
#define	GAN_REALTYPE   double
#define	GAN_FWRITE_LENDIAN   gan_fwrite_lendian_f64
#define	GAN_FREAD_LENDIAN   gan_fread_lendian_f64
#define	GAN_VECTYPE1   Gan_Vector2
#define	GAN_VECTYPE2   Gan_Vector2
#define	GAN_SQUMATTYPEL   Gan_SquMatrix22
#define	GAN_SQUMATTYPER   Gan_SquMatrix22
#define	GAN_FIXED_MATRIX_TYPE   GAN_LOWER_TRI_MATRIX22
#define	GAN_MAT_FPRINT   gan_ltmat22_fprint
#define	GAN_MAT_PRINT   gan_ltmat22_print
#define	GAN_MAT_FSCANF   gan_ltmat22_fscanf
#define	GAN_MAT_FWRITE   gan_ltmat22_fwrite
#define	GAN_MAT_FREAD   gan_ltmat22_fread
#define	GAN_MAT_ZERO_Q   gan_ltmat22_zero_q
#define	GAN_MAT_ZERO_S   gan_ltmat22_zero_s
#define	GAN_MAT_COPY_Q   gan_ltmat22_copy_q
#define	GAN_MAT_COPY_S   gan_ltmat22_copy_s
#define	GAN_MAT_SCALE_Q   gan_ltmat22_scale_q
#define	GAN_MAT_SCALE_S   gan_ltmat22_scale_s
#define	GAN_MAT_SCALE_I   gan_ltmat22_scale_i
#define	GAN_MAT_DIVIDE_Q   gan_ltmat22_divide_q
#define	GAN_MAT_DIVIDE_S   gan_ltmat22_divide_s
#define	GAN_MAT_DIVIDE_I   gan_ltmat22_divide_i
#define	GAN_MAT_NEGATE_Q   gan_ltmat22_negate_q
#define	GAN_MAT_NEGATE_S   gan_ltmat22_negate_s
#define	GAN_MAT_NEGATE_I   gan_ltmat22_negate_i
#define	GAN_MAT_UNIT_Q   gan_ltmat22_unit_q
#define	GAN_MAT_UNIT_S   gan_ltmat22_unit_s
#define	GAN_MAT_UNIT_I   gan_ltmat22_unit_i
#define	GAN_MAT_ADD_Q   gan_ltmat22_add_q
#define	GAN_MAT_ADD_I1   gan_ltmat22_add_i1
#define	GAN_MAT_ADD_I2   gan_ltmat22_add_i2
#define	GAN_MAT_INCREMENT   gan_ltmat22_increment
#define	GAN_MAT_ADD_S   gan_ltmat22_add_s
#define	GAN_MAT_SUB_Q   gan_ltmat22_sub_q
#define	GAN_MAT_SUB_I1   gan_ltmat22_sub_i1
#define	GAN_MAT_SUB_I2   gan_ltmat22_sub_i2
#define	GAN_MAT_DECREMENT   gan_ltmat22_decrement
#define	GAN_MAT_SUB_S   gan_ltmat22_sub_s
#define	GAN_MAT_MULTV_Q   gan_ltmat22_multv2_q
#define	GAN_MAT_MULTV_S   gan_ltmat22_multv2_s
#define	GAN_MAT_MULTV_I   gan_ltmat22_multv2_i
#define	GAN_MATT_MULTV_Q   gan_ltmat22T_multv2_q
#define	GAN_MATT_MULTV_S   gan_ltmat22T_multv2_s
#define	GAN_MATT_MULTV_I   gan_ltmat22T_multv2_i
#define	GAN_MAT_SRMULTT_Q   gan_ltmat22_srmultT_q
#define	GAN_MAT_SRMULTT_S   gan_ltmat22_srmultT_s
#define	GAN_MAT_SRMULTT_I   gan_ltmat22_srmultT_i
#define	GAN_MAT_SLMULTT_Q   gan_ltmat22_slmultT_q
#define	GAN_MAT_SLMULTT_S   gan_ltmat22_slmultT_s
#define	GAN_MAT_SLMULTT_I   gan_ltmat22_slmultT_i
#define	GAN_MAT_SUMSQR_Q   gan_ltmat22_sumsqr_q
#define	GAN_MAT_SUMSQR_S   gan_ltmat22_sumsqr_s
#define	GAN_MAT_FNORM_Q   gan_ltmat22_Fnorm_q
#define	GAN_MAT_FNORM_S   gan_ltmat22_Fnorm_s
#define	GAN_SQUMAT_IDENT_Q   gan_ltmat22_ident_q
#define	GAN_SQUMAT_IDENT_S   gan_ltmat22_ident_s
#define	GAN_SQUMATI_MULTV_Q   gan_ltmat22I_multv2_q
#define	GAN_SQUMATI_MULTV_S   gan_ltmat22I_multv2_s
#define	GAN_SQUMATI_MULTV_I   gan_ltmat22I_multv2_i
#define	GAN_SQUMATIT_MULTV_Q   gan_ltmat22IT_multv2_q
#define	GAN_SQUMATIT_MULTV_S   gan_ltmat22IT_multv2_s
#define	GAN_SQUMATIT_MULTV_I   gan_ltmat22IT_multv2_i
#define	GAN_SQUMAT_INVERT   gan_ltmat22_invert
#define	GAN_SQUMAT_INVERT_Q   gan_ltmat22_invert_q
#define	GAN_SQUMAT_INVERT_S   gan_ltmat22_invert_s
#define	GAN_SQUMAT_INVERT_I   gan_ltmat22_invert_i
#define	GAN_SQUMAT_DET_Q   gan_ltmat22_det_q
#define	GAN_SQUMAT_DET_S   gan_ltmat22_det_s
#define	GAN_SQUMAT_TRACE_Q   gan_ltmat22_trace_q
#define	GAN_SQUMAT_TRACE_S   gan_ltmat22_trace_s
#define	GAN_MATTYPE   Gan_SquMatrix22
#define	GAN_MATRIX_TYPE   Gan_SquMatrix
#define	GAN_SQUMATRIX_TYPE   Gan_SquMatrix
#define	GAN_VECTOR_TYPE   Gan_Vector
#define	GAN_MAT_ELEMENT_TYPE   GAN_DOUBLE
#define	GAN_REALTYPE   double
#define	GAN_MAT_FPRINT   gan_ltmat22T_fprint
#define	GAN_MAT_PRINT   gan_ltmat22T_print
#define	GAN_MAT_FSCANF   gan_ltmat22T_fscanf
#define	GAN_FIXED_MATRIX_TYPE   GAN_LOWER_TRI_MATRIX22
#define	gan_ltmat22T_fwrite   gan_ltmat22_fwrite
#define	gan_ltmat22T_fread   gan_ltmat22_fread
Functions
Gan_Bool	gan_mat22_fprint (FILE *fp, const Gan_Matrix22 *A, const char *prefix, int indent, const char *fmt)
	Print 2x2 matrix to file.
Gan_Bool	gan_mat22_fscanf (FILE *fp, Gan_Matrix22 *A, char *prefix, int prefix_len)
	Read 2x2 matrix from file.
Gan_Matrix22	gan_mat22_fill_s (double XX, double XY, double YX, double YY)
	Fill 2x2 matrix with values.
Gan_Matrix22 *	gan_mat22_tpose_i (Gan_Matrix22 *A)
	Transpose 2x2 matrix in-place.
Gan_Matrix22 *	gan_mat22_invert (Gan_Matrix22 *A, Gan_Matrix22 *B, int *error_code)
	Invert 2x2 matrix.
Gan_Matrix22 *	gan_mat22_adjoint_q (const Gan_Matrix22 *A, Gan_Matrix22 *B)
	Compute adjoint of 2x2 matrix.
Gan_Matrix22 *	gan_mat22_adjointT_q (const Gan_Matrix22 *A, Gan_Matrix22 *B)
	Compute adjoint transpose of 2x2 matrix.
void	gan_mat22_get_rows_s (const Gan_Matrix22 *A, Gan_Vector2 *p, Gan_Vector2 *q)
	Extract rows of 2x2 matrix.
void	gan_mat22_get_cols_s (const Gan_Matrix22 *A, Gan_Vector2 *p, Gan_Vector2 *q)
	Extract columns of 2x2 matrix.
Gan_Matrix22 *	gan_mat22_from_mat_q (const Gan_Matrix *A, Gan_Matrix22 *B)
	Convert generic rectangular matrix to 2x2 matrix structure.
Gan_Matrix22 *	gan_mat22_from_squmat_q (const Gan_SquMatrix *A, Gan_Matrix22 *B)
	Convert symmetric matrix to generic 2x2 matrix structure.
Gan_SquMatrix22 *	gan_squmat22_from_squmat_q (const Gan_SquMatrix *A, Gan_SquMatrix22 *B)
	Convert symmetric matrix to specific 2x2 symmetric matrix structure.
Gan_Bool	gan_symmat22_fprint (FILE *fp, const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print 2x2 symmetric matrix to file.
Gan_Bool	gan_symmat22_fscanf (FILE *fp, Gan_SquMatrix22 *A, char *prefix, int prefix_len)
	Read 2x2 symmetric matrix from file.
Gan_SquMatrix22	gan_symmat22_fill_s (double XX, double YX, double YY)
	Return 2x2 symmetric matrix filled with values.
Gan_SquMatrix22 *	gan_symmat22_cholesky (Gan_SquMatrix22 *A, Gan_SquMatrix22 *B, int *error_code)
	Compute Cholesky factorisation of symmetric 2x2 matrix.
Gan_SquMatrix22 *	gan_symmat22_invert (Gan_SquMatrix22 *A, Gan_SquMatrix22 *B, int *error_code)
	Compute inverse of symmetric 2x2 matrix.
Gan_Matrix22 *	gan_symmat22_to_mat22_q (const Gan_SquMatrix22 *A, Gan_Matrix22 *B)
	Convert symmetric 2x2 matrix to generic 2x2 matrix.
Gan_Matrix22	gan_symmat22_to_mat22_s (const Gan_SquMatrix22 *A)
	Convert symmetric 2x2 matrix to generic 2x2 matrix.
Gan_Bool	gan_ltmat22_fprint (FILE *fp, const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print 2x2 lower triangular matrix to file.
Gan_Bool	gan_ltmat22_fscanf (FILE *fp, Gan_SquMatrix22 *A, char *prefix, int prefix_len)
	Read 2x2 lower triangular matrix from file.
Gan_Bool	gan_ltmat22T_fprint (FILE *fp, const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print 2x2 upper triangular matrix to file.
Gan_Bool	gan_ltmat22T_fscanf (FILE *fp, Gan_SquMatrix22 *A, char *prefix, int prefix_len)
	Read 2x2 upper triangular matrix from file.
Gan_SquMatrix22	gan_ltmat22_fill_s (double XX, double YX, double YY)
	Return 2x2 lower triangular matrix filled with values.
Gan_SquMatrix22 *	gan_ltmat22_invert (Gan_SquMatrix22 *A, Gan_SquMatrix22 *B, int *error_code)
	Compute inverse of lower triangular 2x2 matrix.
Gan_Matrix22	gan_mat22_ident_s (void)
	Return fixed size square matrix filled with identity.
Gan_Matrix22	gan_mat22_tpose_s (const Gan_Matrix22 *A)
	Transpose fixed size square matrix.
Gan_SquMatrix22	gan_mat22_saddT_s (const Gan_Matrix22 *A)
	Add matrix to its own transpose.
Gan_Matrix22	gan_mat22_invert_s (const Gan_Matrix22 *A)
	Invert fixed size square matrix.
Gan_Matrix22	gan_mat22_adjoint_s (const Gan_Matrix22 *A)
	Compute adjoint of fixed size square matrix.
Gan_Matrix22	gan_mat22_adjointT_s (const Gan_Matrix22 *A)
	Compute adjoint transpose of fixed size square matrix.
double	gan_mat22_det_s (const Gan_Matrix22 *A)
	Determinant of square matrix.
double	gan_mat22_trace_s (const Gan_Matrix22 *A)
	Trace of square matrix.
Gan_Bool	gan_mat22_print (const Gan_Matrix22 *A, const char *prefix, int indent, const char *fmt)
	Print fixed size matrix to standard output.
Gan_Bool	gan_mat22_fwrite (FILE *fp, const Gan_Matrix22 *A, gan_uint32 magic_number)
	Write fixed size matrix to file stream.
Gan_Bool	gan_mat22_fread (FILE *fp, Gan_Matrix22 *A, gan_uint32 *magic_number)
	Read fixed size matrix from file stream.
Gan_Matrix22	gan_mat22_zero_s (void)
	Set fixed size matrix to zero.
Gan_Matrix22	gan_mat22_copy_s (const Gan_Matrix22 *A)
	Copy fixed size matrix.
Gan_Matrix22	gan_mat22_scale_s (const Gan_Matrix22 *A, double a)
	Scale fixed size matrix.
Gan_Matrix22	gan_mat22_divide_s (const Gan_Matrix22 *A, double a)
	Divide fixed size matrix by scalar.
Gan_Matrix22	gan_mat22_negate_s (const Gan_Matrix22 *A)
	Negate fixed size matrix.
Gan_Matrix22 *	gan_mat22_unit_q (Gan_Matrix22 *A, Gan_Matrix22 *B)
	Scale matrix to unit norm.
Gan_Matrix22	gan_mat22_unit_s (const Gan_Matrix22 *A)
	Scale matrix to unit norm.
Gan_Matrix22	gan_mat22_add_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Add two fixed size matrices.
Gan_Matrix22	gan_mat22_sub_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Subtract two fixed size matrices.
Gan_Matrix22	gan_vec22_outer_s (const Gan_Vector2 *p, const Gan_Vector2 *q)
	Compute the outer product of two fixed size vectors.
Gan_Vector2	gan_mat22_multv2_s (const Gan_Matrix22 *A, const Gan_Vector2 *p)
	Matrix/vector product.
Gan_Vector2	gan_mat22T_multv2_s (const Gan_Matrix22 *A, const Gan_Vector2 *p)
	Matrix/vector product with the matrix transposed.
Gan_Matrix22	gan_mat22_lmultm22T_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Left-multiply a matrix by the transpose of another matrix.
Gan_Matrix22	gan_mat22_rmultm22_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Right-multiply a matrix by another matrix.
Gan_Matrix22	gan_mat22_rmultm22T_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Right-multiply a matrix by the transpose of another matrix.
Gan_SquMatrix22	gan_mat22_lmultm22T_sym_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Matrix product producing a symmetric matrix.
Gan_SquMatrix22	gan_mat22_rmultm22T_sym_s (const Gan_Matrix22 *A, const Gan_Matrix22 *B)
	Matrix product producing a symmetric matrix.
Gan_SquMatrix22	gan_mat22_slmultT_s (const Gan_Matrix22 *A)
	Left-multiply a matrix by its own transpose, producing a symmetric matrix.
Gan_SquMatrix22	gan_mat22_srmultT_s (const Gan_Matrix22 *A)
	Right-multiply a matrix by its own transpose, producing a symmetric matrix.
Gan_Matrix22	gan_mat22_lmults22_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Left-multiply a matrix by a symmetric matrix.
Gan_Matrix22	gan_mat22_rmults22_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Right-multiply a matrix by a symmetric matrix.
Gan_SquMatrix22	gan_symmat22_lrmultm22T_s (const Gan_SquMatrix22 *A, const Gan_Matrix22 *B, Gan_Matrix22 *C)
	Matrix triple product involving symmetric matrices.
Gan_SquMatrix22	gan_symmat22_lrmultm22_s (const Gan_SquMatrix22 *A, const Gan_Matrix22 *B, Gan_Matrix22 *C)
	Matrix triple product involving symmetric matrices.
Gan_Matrix22	gan_mat22_lmultl22_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Left-multiply a matrix by a lower-triangular matrix.
Gan_Matrix22	gan_mat22_lmultl22I_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Left-multiply a matrix by the inverse of a lower-triangular matrix.
Gan_Matrix22	gan_mat22_lmultl22T_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Left-multiply a matrix by the transpose of a lower-triangular matrix.
Gan_Matrix22	gan_mat22_lmultl22IT_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Left-multiply a matrix by the inverse transpose of a lower-triangular matrix.
Gan_Matrix22	gan_mat22_rmultl22_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Right-multiply a matrix by a lower-triangular matrix.
Gan_Matrix22	gan_mat22_rmultl22I_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Right-multiply a matrix by the inverse of a lower-triangular matrix.
Gan_Matrix22	gan_mat22_rmultl22T_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Right-multiply a matrix by the transpose of a lower-triangular matrix.
Gan_Matrix22	gan_mat22_rmultl22IT_s (const Gan_Matrix22 *A, const Gan_SquMatrix22 *B)
	Right-multiply a matrix by the inverse transpose of a lower-triangular matrix.
double	gan_mat22_sumsqr_s (const Gan_Matrix22 *A)
	Returns sum of squares of matrix elements.
double	gan_mat22_Fnorm_s (const Gan_Matrix22 *A)
	Frobenius norm of matrix.
Gan_Matrix22	gan_mat22_from_mat_s (const Gan_Matrix *A)
	Convert generic rectangular matrix to fixed size matrix structure.
Gan_Matrix22	gan_mat22_from_squmat_s (const Gan_SquMatrix *A)
	Convert square matrix to fixed size matrix structure.
Gan_SquMatrix22	gan_squmat22_from_squmat_s (const Gan_SquMatrix *A)
	Convert a square matrix to a symmetric fixed size matrix.
Gan_SquMatrix22	gan_vec22_outer_sym_s (const Gan_Vector2 *p)
	Returns the outer product of vector with itself.
Gan_SquMatrix22	gan_symmat22_cholesky_s (const Gan_SquMatrix22 *A)
	Compute Cholesky factorisation of fixed size symmetric matrix.
Gan_SquMatrix22	gan_symmat22_ident_s (void)
	Return fixed size square matrix filled with identity.
Gan_SquMatrix22	gan_symmat22_invert_s (const Gan_SquMatrix22 *A)
	Invert fixed size square matrix.
double	gan_symmat22_det_s (const Gan_SquMatrix22 *A)
	Determinant of square matrix.
double	gan_symmat22_trace_s (const Gan_SquMatrix22 *A)
	Trace of square matrix.
Gan_Bool	gan_symmat22_print (const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print fixed size matrix to standard output.
Gan_Bool	gan_symmat22_fwrite (FILE *fp, const Gan_SquMatrix22 *A, gan_uint32 magic_number)
	Write fixed size matrix to file stream.
Gan_Bool	gan_symmat22_fread (FILE *fp, Gan_SquMatrix22 *A, gan_uint32 *magic_number)
	Read fixed size matrix from file stream.
Gan_SquMatrix22	gan_symmat22_zero_s (void)
	Set fixed size matrix to zero.
Gan_SquMatrix22	gan_symmat22_copy_s (const Gan_SquMatrix22 *A)
	Copy fixed size matrix.
Gan_SquMatrix22	gan_symmat22_scale_s (const Gan_SquMatrix22 *A, double a)
	Scale fixed size matrix.
Gan_SquMatrix22	gan_symmat22_divide_s (const Gan_SquMatrix22 *A, double a)
	Divide fixed size matrix by scalar.
Gan_SquMatrix22	gan_symmat22_negate_s (const Gan_SquMatrix22 *A)
	Negate fixed size matrix.
Gan_SquMatrix22 *	gan_symmat22_unit_q (Gan_SquMatrix22 *A, Gan_SquMatrix22 *B)
	Scale matrix to unit norm.
Gan_SquMatrix22	gan_symmat22_unit_s (const Gan_SquMatrix22 *A)
	Scale matrix to unit norm.
Gan_SquMatrix22	gan_symmat22_add_s (const Gan_SquMatrix22 *A, const Gan_SquMatrix22 *B)
	Add two fixed size matrices.
Gan_SquMatrix22	gan_symmat22_sub_s (const Gan_SquMatrix22 *A, const Gan_SquMatrix22 *B)
	Subtract two fixed size matrices.
Gan_Vector2	gan_symmat22_multv2_s (const Gan_SquMatrix22 *A, const Gan_Vector2 *p)
	Matrix/vector product.
double	gan_symmat22_sumsqr_s (const Gan_SquMatrix22 *A)
	Returns sum of squares of matrix elements.
double	gan_symmat22_Fnorm_s (const Gan_SquMatrix22 *A)
	Frobenius norm of matrix.
Gan_SquMatrix22	gan_ltmat22_ident_s (void)
	Return fixed size square matrix filled with identity.
Gan_Vector2	gan_ltmat22I_multv2_s (const Gan_SquMatrix22 *A, const Gan_Vector2 *p)
	Computes the product of the inverse of a matrix and a vector.
Gan_Vector2	gan_ltmat22IT_multv2_s (const Gan_SquMatrix22 *A, const Gan_Vector2 *p)
	Computes the product of the inverse transpose of a matrix and a vector.
Gan_SquMatrix22	gan_ltmat22_invert_s (const Gan_SquMatrix22 *A)
	Invert fixed size square matrix.
double	gan_ltmat22_det_s (const Gan_SquMatrix22 *A)
	Determinant of square matrix.
double	gan_ltmat22_trace_s (const Gan_SquMatrix22 *A)
	Trace of square matrix.
Gan_Bool	gan_ltmat22_print (const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print fixed size matrix to standard output.
Gan_Bool	gan_ltmat22_fwrite (FILE *fp, const Gan_SquMatrix22 *A, gan_uint32 magic_number)
	Write fixed size matrix to file stream.
Gan_Bool	gan_ltmat22_fread (FILE *fp, Gan_SquMatrix22 *A, gan_uint32 *magic_number)
	Read fixed size matrix from file stream.
Gan_SquMatrix22	gan_ltmat22_zero_s (void)
	Set fixed size matrix to zero.
Gan_SquMatrix22	gan_ltmat22_copy_s (const Gan_SquMatrix22 *A)
	Copy fixed size matrix.
Gan_SquMatrix22	gan_ltmat22_scale_s (const Gan_SquMatrix22 *A, double a)
	Scale fixed size matrix.
Gan_SquMatrix22	gan_ltmat22_divide_s (const Gan_SquMatrix22 *A, double a)
	Divide fixed size matrix by scalar.
Gan_SquMatrix22	gan_ltmat22_negate_s (const Gan_SquMatrix22 *A)
	Negate fixed size matrix.
Gan_SquMatrix22 *	gan_ltmat22_unit_q (Gan_SquMatrix22 *A, Gan_SquMatrix22 *B)
	Scale matrix to unit norm.
Gan_SquMatrix22	gan_ltmat22_unit_s (const Gan_SquMatrix22 *A)
	Scale matrix to unit norm.
Gan_SquMatrix22	gan_ltmat22_add_s (const Gan_SquMatrix22 *A, const Gan_SquMatrix22 *B)
	Add two fixed size matrices.
Gan_SquMatrix22	gan_ltmat22_sub_s (const Gan_SquMatrix22 *A, const Gan_SquMatrix22 *B)
	Subtract two fixed size matrices.
Gan_Vector2	gan_ltmat22_multv2_s (const Gan_SquMatrix22 *A, const Gan_Vector2 *p)
	Matrix/vector product.
Gan_Vector2	gan_ltmat22T_multv2_s (const Gan_SquMatrix22 *A, const Gan_Vector2 *p)
	Matrix/vector product with the matrix transposed.
Gan_SquMatrix22	gan_ltmat22_slmultT_s (const Gan_SquMatrix22 *A)
	Left-multiply a matrix by its own transpose, producing a symmetric matrix.
Gan_SquMatrix22	gan_ltmat22_srmultT_s (const Gan_SquMatrix22 *A)
	Right-multiply a matrix by its own transpose, producing a symmetric matrix.
double	gan_ltmat22_sumsqr_s (const Gan_SquMatrix22 *A)
	Returns sum of squares of matrix elements.
double	gan_ltmat22_Fnorm_s (const Gan_SquMatrix22 *A)
	Frobenius norm of matrix.
Gan_Bool	gan_ltmat22T_print (const Gan_SquMatrix22 *A, const char *prefix, int indent, const char *fmt)
	Print fixed size matrix to standard output.

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Detailed Description

Module: 2x2 matrices (double precision)

Part of: Gandalf Library

Version:

1.12

Date:

2002/05/16 08:43:35

Author:

pm

Copyright: (c) 2000 Imagineer Software Limited

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