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2x4matrix.c File Reference

#include <math.h>
#include <gandalf/linalg/2x4matrix.h>
#include <gandalf/common/misc_error.h>
#include <gandalf/common/endian_io.h>

Defines

#define GAN_MATTYPE   Gan_Matrix24
#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_VECTYPE1   Gan_Vector2
#define GAN_VECTYPE2   Gan_Vector4
#define GAN_MATTYPEL   Gan_Matrix22
#define GAN_MATTYPER   Gan_Matrix44
#define GAN_SQUMATTYPEL   Gan_SquMatrix22
#define GAN_SQUMATTYPER   Gan_SquMatrix44
#define GAN_MAT_FPRINT   gan_mat24_fprint
#define GAN_MAT_PRINT   gan_mat24_print
#define GAN_MAT_FSCANF   gan_mat24_fscanf
#define GAN_MAT_FWRITE   gan_mat24_fwrite
#define GAN_MAT_FREAD   gan_mat24_fread
#define GAN_MAT_ZERO_Q   gan_mat24_zero_q
#define GAN_MAT_ZERO_S   gan_mat24_zero_s
#define GAN_MAT_COPY_Q   gan_mat24_copy_q
#define GAN_MAT_COPY_S   gan_mat24_copy_s
#define GAN_MAT_SCALE_Q   gan_mat24_scale_q
#define GAN_MAT_SCALE_I   gan_mat24_scale_i
#define GAN_MAT_SCALE_S   gan_mat24_scale_s
#define GAN_MAT_DIVIDE_Q   gan_mat24_divide_q
#define GAN_MAT_DIVIDE_I   gan_mat24_divide_i
#define GAN_MAT_DIVIDE_S   gan_mat24_divide_s
#define GAN_MAT_NEGATE_Q   gan_mat24_negate_q
#define GAN_MAT_NEGATE_I   gan_mat24_negate_i
#define GAN_MAT_NEGATE_S   gan_mat24_negate_s
#define GAN_MAT_UNIT_Q   gan_mat24_unit_q
#define GAN_MAT_UNIT_I   gan_mat24_unit_i
#define GAN_MAT_UNIT_S   gan_mat24_unit_s
#define GAN_MAT_ADD_Q   gan_mat24_add_q
#define GAN_MAT_ADD_I1   gan_mat24_add_i1
#define GAN_MAT_ADD_I2   gan_mat24_add_i2
#define GAN_MAT_INCREMENT   gan_mat24_increment
#define GAN_MAT_ADD_S   gan_mat24_add_s
#define GAN_MAT_SUB_Q   gan_mat24_sub_q
#define GAN_MAT_SUB_I1   gan_mat24_sub_i1
#define GAN_MAT_SUB_I2   gan_mat24_sub_i2
#define GAN_MAT_DECREMENT   gan_mat24_decrement
#define GAN_MAT_SUB_S   gan_mat24_sub_s
#define GAN_VEC_OUTER_Q   gan_vec24_outer_q
#define GAN_VEC_OUTER_S   gan_vec24_outer_s
#define GAN_MAT_MULTV_Q   gan_mat24_multv4_q
#define GAN_MAT_MULTV_S   gan_mat24_multv4_s
#define GAN_MATT_MULTV_Q   gan_mat24T_multv2_q
#define GAN_MATT_MULTV_S   gan_mat24T_multv2_s
#define GAN_MAT_LMULTM_Q   gan_mat24_lmultm22_q
#define GAN_MAT_LMULTM_S   gan_mat24_lmultm22_s
#define GAN_MAT_LMULTMT_Q   gan_mat24_lmultm22T_q
#define GAN_MAT_LMULTMT_S   gan_mat24_lmultm22T_s
#define GAN_MAT_RMULTM_Q   gan_mat24_rmultm44_q
#define GAN_MAT_RMULTM_S   gan_mat24_rmultm44_s
#define GAN_MAT_RMULTMT_Q   gan_mat24_rmultm44T_q
#define GAN_MAT_RMULTMT_S   gan_mat24_rmultm44T_s
#define GAN_MAT_LMULTMT_SYM_Q   gan_mat24_lmultm24T_sym_q
#define GAN_MAT_LMULTMT_SYM_S   gan_mat24_lmultm24T_sym_s
#define GAN_MAT_RMULTMT_SYM_Q   gan_mat24_rmultm24T_sym_q
#define GAN_MAT_RMULTMT_SYM_S   gan_mat24_rmultm24T_sym_s
#define GAN_MAT_SLMULTT_Q   gan_mat24_slmultT_q
#define GAN_MAT_SLMULTT_S   gan_mat24_slmultT_s
#define GAN_MAT_SRMULTT_Q   gan_mat24_srmultT_q
#define GAN_MAT_SRMULTT_S   gan_mat24_srmultT_s
#define GAN_MAT_LMULTS_Q   gan_mat24_lmults22_q
#define GAN_MAT_LMULTS_S   gan_mat24_lmults22_s
#define GAN_MAT_RMULTS_Q   gan_mat24_rmults44_q
#define GAN_MAT_RMULTS_S   gan_mat24_rmults44_s
#define GAN_SYMMATL_LRMULT_Q   gan_symmat22_lrmultm24T_q
#define GAN_SYMMATL_LRMULT_S   gan_symmat22_lrmultm24T_s
#define GAN_SYMMATR_LRMULT_Q   gan_symmat44_lrmultm24_q
#define GAN_SYMMATR_LRMULT_S   gan_symmat44_lrmultm24_s
#define GAN_MAT_LMULTL_Q   gan_mat24_lmultl22_q
#define GAN_MAT_LMULTL_S   gan_mat24_lmultl22_s
#define GAN_MAT_LMULTL_I   gan_mat24_lmultl22_i
#define GAN_MAT_LMULTLI_Q   gan_mat24_lmultl22I_q
#define GAN_MAT_LMULTLI_S   gan_mat24_lmultl22I_s
#define GAN_MAT_LMULTLI_I   gan_mat24_lmultl22I_i
#define GAN_MAT_LMULTLT_Q   gan_mat24_lmultl22T_q
#define GAN_MAT_LMULTLT_S   gan_mat24_lmultl22T_s
#define GAN_MAT_LMULTLT_I   gan_mat24_lmultl22T_i
#define GAN_MAT_LMULTLIT_Q   gan_mat24_lmultl22IT_q
#define GAN_MAT_LMULTLIT_S   gan_mat24_lmultl22IT_s
#define GAN_MAT_LMULTLIT_I   gan_mat24_lmultl22IT_i
#define GAN_MAT_RMULTL_Q   gan_mat24_rmultl44_q
#define GAN_MAT_RMULTL_S   gan_mat24_rmultl44_s
#define GAN_MAT_RMULTL_I   gan_mat24_rmultl44_i
#define GAN_MAT_RMULTLI_Q   gan_mat24_rmultl44I_q
#define GAN_MAT_RMULTLI_S   gan_mat24_rmultl44I_s
#define GAN_MAT_RMULTLI_I   gan_mat24_rmultl44I_i
#define GAN_MAT_RMULTLT_Q   gan_mat24_rmultl44T_q
#define GAN_MAT_RMULTLT_S   gan_mat24_rmultl44T_s
#define GAN_MAT_RMULTLT_I   gan_mat24_rmultl44T_i
#define GAN_MAT_RMULTLIT_Q   gan_mat24_rmultl44IT_q
#define GAN_MAT_RMULTLIT_S   gan_mat24_rmultl44IT_s
#define GAN_MAT_RMULTLIT_I   gan_mat24_rmultl44IT_i
#define GAN_MAT_SUMSQR_Q   gan_mat24_sumsqr_q
#define GAN_MAT_SUMSQR_S   gan_mat24_sumsqr_s
#define GAN_MAT_FNORM_Q   gan_mat24_Fnorm_q
#define GAN_MAT_FNORM_S   gan_mat24_Fnorm_s
#define GAN_MAT_FROM_MAT_Q   gan_mat24_from_mat_q
#define GAN_MAT_FROM_MAT_S   gan_mat24_from_mat_s

Functions

Gan_Bool gan_mat24_fprint (FILE *fp, Gan_Matrix24 *A, const char *prefix, int indent, const char *fmt)
 Print 2x4 matrix to file.

Gan_Bool gan_mat24_fscanf (FILE *fp, Gan_Matrix24 *A, char *prefix, int prefix_len)
 Read 2x4 matrix from file.

Gan_Matrix24 gan_mat24_fill_s (double XX, double XY, double XZ, double XW, double YX, double YY, double YZ, double YW)
 Fill 2x4 matrix with values.

Gan_Vector2 gan_mat24_multv3h_s (Gan_Matrix24 *A, Gan_Vector3 *p, double h)
 Multiply 2x4 matrix by homogeneous 3-vector.

void gan_mat24_get_rows_s (Gan_Matrix24 *A, Gan_Vector4 *p, Gan_Vector4 *q)
 Extract rows of 2x4 matrix.

void gan_mat24_get_cols_s (Gan_Matrix24 *A, Gan_Vector2 *p, Gan_Vector2 *q, Gan_Vector2 *r, Gan_Vector2 *s)
 Extract columns of 2x4 matrix.

Gan_Matrix24gan_mat24_from_mat_q (Gan_Matrix *A, Gan_Matrix24 *B)
 Macro: Convert generic rectangular matrix to fixed size matrix structure.

Gan_Bool gan_mat24_print (Gan_Matrix24 *A, const char *prefix, int indent, const char *fmt)
 Print fixed size matrix to standard output.

Gan_Bool gan_mat24_fwrite (FILE *fp, Gan_Matrix24 *A, gan_ui32 magic_number)
 Write fixed size matrix to file stream.

Gan_Bool gan_mat24_fread (FILE *fp, Gan_Matrix24 *A, gan_ui32 *magic_number)
 Read fixed size matrix from file stream.

Gan_Matrix24 gan_mat24_zero_s (void)
 Set fixed size matrix to zero.

Gan_Matrix24 gan_mat24_copy_s (Gan_Matrix24 *A)
 Copy fixed size matrix.

Gan_Matrix24 gan_mat24_scale_s (Gan_Matrix24 *A, double a)
 Scale fixed size matrix.

Gan_Matrix24 gan_mat24_divide_s (Gan_Matrix24 *A, double a)
 Divide fixed size matrix by scalar.

Gan_Matrix24 gan_mat24_negate_s (Gan_Matrix24 *A)
 Negate fixed size matrix.

Gan_Matrix24gan_mat24_unit_q (Gan_Matrix24 *A, Gan_Matrix24 *B)
 Scale matrix to unit norm.

Gan_Matrix24 gan_mat24_unit_s (Gan_Matrix24 *A)
 Scale matrix to unit norm.

Gan_Matrix24 gan_mat24_add_s (Gan_Matrix24 *A, Gan_Matrix24 *B)
 Add two fixed size matrices.

Gan_Matrix24 gan_mat24_sub_s (Gan_Matrix24 *A, Gan_Matrix24 *B)
 Subtract two fixed size matrices.

Gan_Matrix24 gan_vec24_outer_s (Gan_Vector2 *p, Gan_Vector4 *q)
 Compute the outer product of two fixed size vectors.

Gan_Vector2 gan_mat24_multv4_s (Gan_Matrix24 *A, Gan_Vector4 *p)
 Matrix/vector product.

Gan_Vector4 gan_mat24T_multv2_s (Gan_Matrix24 *A, Gan_Vector2 *p)
 Matrix/vector product with the matrix transposed.

Gan_Matrix24 gan_mat24_lmultm22_s (Gan_Matrix24 *A, Gan_Matrix22 *B)
 Left-multiply a matrix by another matrix.

Gan_Matrix24 gan_mat24_lmultm22T_s (Gan_Matrix24 *A, Gan_Matrix22 *B)
 Left-multiply a matrix by the transpose of another matrix.

Gan_Matrix24 gan_mat24_rmultm44_s (Gan_Matrix24 *A, Gan_Matrix44 *B)
 Right-multiply a matrix by another matrix.

Gan_Matrix24 gan_mat24_rmultm44T_s (Gan_Matrix24 *A, Gan_Matrix44 *B)
 Right-multiply a matrix by the transpose of another matrix.

Gan_SquMatrix44 gan_mat24_lmultm24T_sym_s (Gan_Matrix24 *A, Gan_Matrix24 *B)
 Matrix product producing a symmetric matrix.

Gan_SquMatrix22 gan_mat24_rmultm24T_sym_s (Gan_Matrix24 *A, Gan_Matrix24 *B)
 Matrix product producing a symmetric matrix.

Gan_SquMatrix44 gan_mat24_slmultT_s (Gan_Matrix24 *A)
 Left-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_SquMatrix22 gan_mat24_srmultT_s (Gan_Matrix24 *A)
 Right-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_Matrix24 gan_mat24_lmults22_s (Gan_Matrix24 *A, Gan_SquMatrix22 *B)
 Left-multiply a matrix by a symmetric matrix.

Gan_Matrix24 gan_mat24_rmults44_s (Gan_Matrix24 *A, Gan_SquMatrix44 *B)
 Right-multiply a matrix by a symmetric matrix.

Gan_SquMatrix44 gan_symmat22_lrmultm24T_s (Gan_SquMatrix22 *A, Gan_Matrix24 *B, Gan_Matrix24 *C)
 Matrix triple product involving symmetric matrices.

Gan_SquMatrix22 gan_symmat44_lrmultm24_s (Gan_SquMatrix44 *A, Gan_Matrix24 *B, Gan_Matrix24 *C)
 Matrix triple product involving symmetric matrices.

Gan_Matrix24 gan_mat24_lmultl22_s (Gan_Matrix24 *A, Gan_SquMatrix22 *B)
 Left-multiply a matrix by a lower-triangular matrix.

Gan_Matrix24 gan_mat24_lmultl22I_s (Gan_Matrix24 *A, Gan_SquMatrix22 *B)
 Left-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix24 gan_mat24_lmultl22T_s (Gan_Matrix24 *A, Gan_SquMatrix22 *B)
 Left-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix24 gan_mat24_lmultl22IT_s (Gan_Matrix24 *A, Gan_SquMatrix22 *B)
 Left-multiply a matrix by the inverse transpose of a lower-triangular matrix.

Gan_Matrix24 gan_mat24_rmultl44_s (Gan_Matrix24 *A, Gan_SquMatrix44 *B)
 Right-multiply a matrix by a lower-triangular matrix.

Gan_Matrix24 gan_mat24_rmultl44I_s (Gan_Matrix24 *A, Gan_SquMatrix44 *B)
 Right-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix24 gan_mat24_rmultl44T_s (Gan_Matrix24 *A, Gan_SquMatrix44 *B)
 Right-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix24 gan_mat24_rmultl44IT_s (Gan_Matrix24 *A, Gan_SquMatrix44 *B)
 Right-multiply a matrix by the inverse transpose of a lower-triangular matrix.

double gan_mat24_sumsqr_s (Gan_Matrix24 *A)
 Returns sum of squares of matrix elements.

double gan_mat24_Fnorm_s (Gan_Matrix24 *A)
 Frobenius norm of matrix.

Gan_Matrix24 gan_mat24_from_mat_s (Gan_Matrix *A)
 Convert generic rectangular matrix to fixed size matrix structure.


Detailed Description

Module: 2x4 matrices (double precision)

Part of: Gandalf Library

Revision: Last edited: Author:

Copyright: (c) 2000 Imagineer Software Limited


Define Documentation

#define GAN_MATTYPE   Gan_Matrix24
 

File: Module: 2x4 matrices (double precision) Part of: Gandalf Library

Revision: Last edited: Author: Copyright: (c) 2000 Imagineer Software Limited

Notes: Not to be compiled separately


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