3x3matrix.h File Reference

#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <gandalf/common/misc_defs.h>
#include <gandalf/linalg/3vector.h>
#include <gandalf/linalg/2x2matrix.h>
#include <gandalf/linalg/mat_gen.h>
#include <gandalf/linalg/mat_square.h>

Go to the source code of this file.

Classes

struct Gan_Matrix33

Structure definition for double precision 3x3 matrix. More...

struct Gan_SquMatrix33

Structure definition for square double precision 3x3 matrix. More...

Defines

#define GAN_REP1_AS(a, b, p1)   (a p1 b)

#define GAN_REP1_A(a, p1)   (a p1)

#define GAN_REP1_A_C(a, b)   GAN_REP1_A(a,b,x)

#define GAN_FREP1_A(a, b, p1, q1)   (a p1 b q1)

#define GAN_FREP1_A_C(a, b, p1)   GAN_FREP1_A(a,b,x,p1)

#define GAN_REP1_ABS(a, b, c, p1, q1)   (a p1 b q1 c)

#define GAN_REP1_AAS(a, b, c, p1)   GAN_REP1_ABS(a,b,c,p1,p1)

#define GAN_REP1_AAS_C(a, b, c)   GAN_REP1_AAS(a,b,c,x)

#define GAN_REP1_AB(a, b, p1, q1)   (a p1 b q1)

#define GAN_REP1_AA(a, b, p1)   GAN_REP1_AB(a,b,p1,p1)

#define GAN_REP1_AA_C(a, b)   GAN_REP1_AA(a,b,x)

#define GAN_REP1_ABCS(a, b, c, d, p1, q1, r1)   (a p1 b q1 c r1 d)

#define GAN_REP1_ABC(a, b, c, p1, q1, r1)   (a p1 b q1 c r1)

#define GAN_REP1_AAA(a, b, c, p1)   GAN_REP1_ABC(a,b,c,p1,p1,p1)

#define GAN_REP1_AAA_C(a, b, c)   GAN_REP1_AAA(a,b,c,x)

#define GAN_REP1_OP_AB(a, b, p1, q1, op)   (a p1 b q1)

#define GAN_REP1_OP_AA(a, b, p1, op)   GAN_REP1_OP_AB(a,b,p1,p1,op)

#define GAN_REP1_OP_AA_C(a, b, op)   GAN_REP1_OP_AA(a,b,x,op)

#define GAN_REP2_AS(a, b, p1, p2)   (a p1 b, a p2 b)

#define GAN_REP2_A(a, p1, p2)   (a p1, a p2)

#define GAN_REP2_AS_C(a, b)   GAN_REP2_AS(a,b,x,y)

#define GAN_REP2_A_C(a)   GAN_REP2_A(a,x,y)

#define GAN_FREP2_A(a, b, p1, p2, q1, q2)   (a p1 b q1, a p2 b q2)

#define GAN_FREP2_A_C(a, b, p1, p2)   GAN_FREP2_A(a,b,x,y,p1,p2)

#define GAN_REP2_AB(a, b, p1, p2, q1, q2)   (a p1 b q1, a p2 b q2)

#define GAN_REP2_AA(a, b, p1, p2)   GAN_REP2_AB(a,b,p1,p2,p1,p2)

#define GAN_REP2_AA_C(a, b)   GAN_REP2_AA(a,b,x,y)

#define GAN_REP2_ABS(a, b, c, p1, p2, q1, q2)   (a p1 b q1 c, a p2 b q2 c)

#define GAN_REP2_AAS(a, b, c, p1, p2)   GAN_REP2_ABS(a,b,c,p1,p2,p1,p2)

#define GAN_REP2_AAS_C(a, b, c)   GAN_REP2_AAS(a,b,c,x,y)

#define GAN_REP2_AB(a, b, p1, p2, q1, q2)   (a p1 b q1, a p2 b q2)

#define GAN_REP2_AA(a, b, p1, p2)   GAN_REP2_AB(a,b,p1,p2,p1,p2)

#define GAN_REP2_AA_C(a, b)   GAN_REP2_AA(a,b,x,y)

#define GAN_REP2_ABCS(a, b, c, d, p1, p2, q1, q2, r1, r2)   (a p1 b q1 c r1 d, a p2 b q2 c r2 d)

#define GAN_REP2_ABC(a, b, c, p1, p2, q1, q2, r1, r2)   (a p1 b q1 c r1, a p2 b q2 c r2)

#define GAN_REP2_AAA(a, b, c, p1, p2)   GAN_REP2_ABC(a,b,c,p1,p2,p1,p2,p1,p2)

#define GAN_REP2_AAA_C(a, b, c)   GAN_REP2_AAA(a,b,c,x,y)

#define GAN_REP2_OP_AB(a, b, p1, p2, q1, q2, op)   (a p1 b q1 op a p2 b q2)

#define GAN_REP2_OP_AA(a, b, p1, p2, op)   GAN_REP2_OP_AB(a,b,p1,p2,p1,p2,op)

#define GAN_REP2_OP_AA_C(a, b, op)   GAN_REP2_OP_AA(a,b,x,y,op)

#define GAN_REP3_AS(a, b, p1, p2, p3)   (a p1 b, a p2 b, a p3 b)

#define GAN_REP3_AS_C(a, b)   GAN_REP3_AS(a,b,x,y,z)

#define GAN_REP3_A(a, p1, p2, p3)   (a p1, a p2, a p3)

#define GAN_REP3_A_C(a)   GAN_REP3_A(a,x,y,z)

#define GAN_FREP3_A(a, b, p1, p2, p3, q1, q2, q3)   (a p1 b q1, a p2 b q2, a p3 b q3)

#define GAN_FREP3_A_C(a, b, p1, p2, p3)   GAN_FREP3_A(a,b,x,y,z,p1,p2,p3)

#define GAN_REP3_ABS(a, b, c, p1, p2, p3, q1, q2, q3)   (a p1 b q1 c, a p2 b q2 c, a p3 b q3 c)

#define GAN_REP3_AAS(a, b, c, p1, p2, p3)   GAN_REP3_ABS(a,b,c,p1,p2,p3,p1,p2,p3)

#define GAN_REP3_AAS_C(a, b, c)   GAN_REP3_AAS(a,b,c,x,y,z)

#define GAN_REP3_AB(a, b, p1, p2, p3, q1, q2, q3)   (a p1 b q1, a p2 b q2, a p3 b q3)

#define GAN_REP3_AA(a, b, p1, p2, p3)   GAN_REP3_AB(a,b,p1,p2,p3,p1,p2,p3)

#define GAN_REP3_AA_C(a, b)   GAN_REP3_AA(a,b,x,y,z)

#define GAN_REP3_ABCS(a, b, c, d, p1, p2, p3, q1, q2, q3, r1, r2, r3)   (a p1 b q1 c r1 d, a p2 b q2 c r2 d, a p3 b q3 c r3 d)

#define GAN_REP3_ABC(a, b, c, p1, p2, p3, q1, q2, q3, r1, r2, r3)   (a p1 b q1 c r1, a p2 b q2 c r2, a p3 b q3 c r3)

#define GAN_REP3_AAA(a, b, c, p1, p2, p3)   GAN_REP3_ABC(a,b,c,p1,p2,p3,p1,p2,p3,p1,p2,p3)

#define GAN_REP3_AAA_C(a, b, c)   GAN_REP3_AAA(a,b,c,x,y,z)

#define GAN_REP3_OP_AB(a, b, p1, p2, p3, q1, q2, q3, op)   (a p1 b q1 op a p2 b q2 op a p3 b q3)

#define GAN_REP3_OP_AA(a, b, p1, p2, p3, op)   GAN_REP3_OP_AB(a,b,p1,p2,p3,p1,p2,p3,op)

#define GAN_REP3_OP_AA_C(a, b, op)   GAN_REP3_OP_AA(a,b,x,y,z,op)

#define GAN_FREP33_A(a, b, p1, p2, p3, q1, q2, q3, r11, r12, r13, r21, r22, r23, r31, r32, r33)

#define GAN_FREP33_A_C(a, b, r11, r12, r13, r21, r22, r23, r31, r32, r33)   GAN_FREP33_A(a,b,x,y,z,x,y,z,r11,r12,r13,r21,r22,r23,r31,r32,r33)

#define GAN_REP33_ABCS(a, b, c, d, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3, t1, t2, t3, u1, u2, u3)

#define GAN_REP33_ABC(a, b, c, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3, t1, t2, t3, u1, u2, u3)

#define GAN_REP33_AAAS(a, b, c, d, p1, p2, p3, q1, q2, q3)   GAN_REP33_ABCS(a,b,c,d,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33_AAA(a, b, c, p1, p2, p3, q1, q2, q3)   GAN_REP33_ABC(a,b,c,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33_ABS(a, b, c, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3)

#define GAN_REP33_AB(a, b, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3)

#define GAN_REP33_AAS(a, b, c, p1, p2, p3, q1, q2, q3)   GAN_REP33_ABS(a,b,c,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33_AA(a, b, p1, p2, p3, q1, q2, q3)   GAN_REP33_AB(a,b,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33_AS(a, b, p1, p2, p3, q1, q2, q3)

#define GAN_REP33_A(a, p1, p2, p3, q1, q2, q3)

#define GAN_REP33_AS_C(a, b)   GAN_REP33_AS(a,b,x,y,z,x,y,z)

#define GAN_REP33_AAS_C(a, b, c)   GAN_REP33_AAS(a,b,c,x,y,z,x,y,z)

#define GAN_REP33_AAAS_C(a, b, c, d)   GAN_REP33_AAAS(a,b,c,d,x,y,z,x,y,z)

#define GAN_REP33_A_C(a)   GAN_REP33_A(a,x,y,z,x,y,z)

#define GAN_REP33_AA_C(a, b)   GAN_REP33_AA(a,b,x,y,z,x,y,z)

#define GAN_REP33_AAA_C(a, b, c)   GAN_REP33_AAA(a,b,c,x,y,z,x,y,z)

#define GAN_REP33_AAT(a, b, p1, p2, p3, q1, q2, q3)

#define GAN_REP33_AAT_C(a, b)   GAN_REP33_AAT(a,b,x,y,z,x,y,z)

#define GAN_FREP33L_A(a, b, p1, p2, p3, q1, q2, q3, r11, r21, r22, r31, r32, r33)

#define GAN_FREP33L_A_C(a, b, r11, r21, r22, r31, r32, r33)   GAN_FREP33L_A(a,b,x,y,z,x,y,z,r11,r21,r22,r31,r32,r33)

#define GAN_REP33L_ABCS(a, b, c, d, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3, t1, t2, t3, u1, u2, u3)

#define GAN_REP33L_ABC(a, b, c, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3, t1, t2, t3, u1, u2, u3)

#define GAN_REP33L_AAAS(a, b, c, d, p1, p2, p3, q1, q2, q3)   GAN_REP33L_ABCS(a,b,c,d,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33L_AAA(a, b, c, p1, p2, p3, q1, q2, q3)   GAN_REP33L_ABC(a,b,c,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33L_ABS(a, b, c, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3)

#define GAN_REP33L_AB(a, b, p1, p2, p3, q1, q2, q3, r1, r2, r3, s1, s2, s3)

#define GAN_REP33L_AAS(a, b, c, p1, p2, p3, q1, q2, q3)   GAN_REP33L_ABS(a,b,c,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33L_AA(a, b, p1, p2, p3, q1, q2, q3)   GAN_REP33L_AB(a,b,p1,p2,p3,q1,q2,q3,p1,p2,p3,q1,q2,q3)

#define GAN_REP33L_AS(a, b, p1, p2, p3, q1, q2, q3)

#define GAN_REP33L_A(a, p1, p2, p3, q1, q2, q3)

#define GAN_REP33L_AS_C(a, b)   GAN_REP33L_AS(a,b,x,y,z,x,y,z)

#define GAN_REP33L_AAS_C(a, b, c)   GAN_REP33L_AAS(a,b,c,x,y,z,x,y,z)

#define GAN_REP33L_AAAS_C(a, b, c, d)   GAN_REP33L_AAAS(a,b,c,d,x,y,z,x,y,z)

#define GAN_REP33L_A_C(a)   GAN_REP33L_A(a,x,y,z,x,y,z)

#define GAN_REP33L_AA_C(a, b)   GAN_REP33L_AA(a,b,x,y,z,x,y,z)

#define GAN_REP33L_AAA_C(a, b, c)   GAN_REP33L_AAA(a,b,c,x,y,z,x,y,z)

#define GAN_FREP33L_A_C(a, b, r11, r21, r22, r31, r32, r33)   GAN_FREP33L_A(a,b,x,y,z,x,y,z,r11,r21,r22,r31,r32,r33)

#define GAN_ST33_FILL(A, t, XX, YX, YY, ZX, ZY, ZZ)

#define GAN_ST33_IDENT(A, t)

#define GAN_MAT33_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_MAT33T_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_SYM33_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_LOW33_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_LOW33I_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_UPP33_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_UPP33I_MULT1D(a, b, c, p1, p2, p3, q1, q2, q3)

#define GAN_ST33_ZERO(A, t)

#define GAN_ST33_COPY(A, B, t)

#define GAN_ST33_SCALE(A, a, B, t)

#define GAN_ST33_DIVIDE(A, a, B, t)

#define GAN_ST33_NEGATE(A, B, t)

#define GAN_ST33_ADD(A, B, C, t)

#define GAN_ST33_SUB(A, B, C, t)

#define GAN_MATTYPE   Gan_Matrix33

#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_Vector3

#define GAN_VECTYPE2   Gan_Vector3

#define GAN_MATTYPEL   Gan_Matrix33

#define GAN_MATTYPER   Gan_Matrix33

#define GAN_SQUMATTYPEL   Gan_SquMatrix33

#define GAN_SQUMATTYPER   Gan_SquMatrix33

#define GAN_MAT_FPRINT   gan_mat33_fprint

#define GAN_MAT_PRINT   gan_mat33_print

#define GAN_MAT_FSCANF   gan_mat33_fscanf

#define GAN_MAT_FWRITE   gan_mat33_fwrite

#define GAN_MAT_FREAD   gan_mat33_fread

#define GAN_MAT_ZERO_Q   gan_mat33_zero_q

#define GAN_MAT_ZERO_S   gan_mat33_zero_s

#define GAN_MAT_COPY_Q   gan_mat33_copy_q

#define GAN_MAT_COPY_S   gan_mat33_copy_s

#define GAN_MAT_SCALE_Q   gan_mat33_scale_q

#define GAN_MAT_SCALE_I   gan_mat33_scale_i

#define GAN_MAT_SCALE_S   gan_mat33_scale_s

#define GAN_MAT_DIVIDE_Q   gan_mat33_divide_q

#define GAN_MAT_DIVIDE_I   gan_mat33_divide_i

#define GAN_MAT_DIVIDE_S   gan_mat33_divide_s

#define GAN_MAT_NEGATE_Q   gan_mat33_negate_q

#define GAN_MAT_NEGATE_I   gan_mat33_negate_i

#define GAN_MAT_NEGATE_S   gan_mat33_negate_s

#define GAN_MAT_UNIT_Q   gan_mat33_unit_q

#define GAN_MAT_UNIT_I   gan_mat33_unit_i

#define GAN_MAT_UNIT_S   gan_mat33_unit_s

#define GAN_MAT_ADD_Q   gan_mat33_add_q

#define GAN_MAT_ADD_I1   gan_mat33_add_i1

#define GAN_MAT_ADD_I2   gan_mat33_add_i2

#define GAN_MAT_INCREMENT   gan_mat33_increment

#define GAN_MAT_ADD_S   gan_mat33_add_s

#define GAN_MAT_SUB_Q   gan_mat33_sub_q

#define GAN_MAT_SUB_I1   gan_mat33_sub_i1

#define GAN_MAT_SUB_I2   gan_mat33_sub_i2

#define GAN_MAT_DECREMENT   gan_mat33_decrement

#define GAN_MAT_SUB_S   gan_mat33_sub_s

#define GAN_VEC_OUTER_Q   gan_vec33_outer_q

#define GAN_VEC_OUTER_S   gan_vec33_outer_s

#define GAN_MAT_MULTV_Q   gan_mat33_multv3_q

#define GAN_MAT_MULTV_S   gan_mat33_multv3_s

#define GAN_MATT_MULTV_Q   gan_mat33T_multv3_q

#define GAN_MATT_MULTV_S   gan_mat33T_multv3_s

#define GAN_MAT_LMULTMT_Q   gan_mat33_lmultm33T_q

#define GAN_MAT_LMULTMT_S   gan_mat33_lmultm33T_s

#define GAN_MAT_RMULTM_Q   gan_mat33_rmultm33_q

#define GAN_MAT_RMULTM_S   gan_mat33_rmultm33_s

#define GAN_MAT_RMULTMT_Q   gan_mat33_rmultm33T_q

#define GAN_MAT_RMULTMT_S   gan_mat33_rmultm33T_s

#define GAN_MAT_LMULTMT_SYM_Q   gan_mat33_lmultm33T_sym_q

#define GAN_MAT_LMULTMT_SYM_S   gan_mat33_lmultm33T_sym_s

#define GAN_MAT_RMULTMT_SYM_Q   gan_mat33_rmultm33T_sym_q

#define GAN_MAT_RMULTMT_SYM_S   gan_mat33_rmultm33T_sym_s

#define GAN_MAT_SLMULTT_Q   gan_mat33_slmultT_q

#define GAN_MAT_SLMULTT_S   gan_mat33_slmultT_s

#define GAN_MAT_SRMULTT_Q   gan_mat33_srmultT_q

#define GAN_MAT_SRMULTT_S   gan_mat33_srmultT_s

#define GAN_MAT_LMULTS_Q   gan_mat33_lmults33_q

#define GAN_MAT_LMULTS_S   gan_mat33_lmults33_s

#define GAN_MAT_RMULTS_Q   gan_mat33_rmults33_q

#define GAN_MAT_RMULTS_S   gan_mat33_rmults33_s

#define GAN_SYMMATL_LRMULT_Q   gan_symmat33_lrmultm33T_q

#define GAN_SYMMATL_LRMULT_S   gan_symmat33_lrmultm33T_s

#define GAN_SYMMATR_LRMULT_Q   gan_symmat33_lrmultm33_q

#define GAN_SYMMATR_LRMULT_S   gan_symmat33_lrmultm33_s

#define GAN_MAT_LMULTL_Q   gan_mat33_lmultl33_q

#define GAN_MAT_LMULTL_S   gan_mat33_lmultl33_s

#define GAN_MAT_LMULTL_I   gan_mat33_lmultl33_i

#define GAN_MAT_LMULTLI_Q   gan_mat33_lmultl33I_q

#define GAN_MAT_LMULTLI_S   gan_mat33_lmultl33I_s

#define GAN_MAT_LMULTLI_I   gan_mat33_lmultl33I_i

#define GAN_MAT_LMULTLT_Q   gan_mat33_lmultl33T_q

#define GAN_MAT_LMULTLT_S   gan_mat33_lmultl33T_s

#define GAN_MAT_LMULTLT_I   gan_mat33_lmultl33T_i

#define GAN_MAT_LMULTLIT_Q   gan_mat33_lmultl33IT_q

#define GAN_MAT_LMULTLIT_S   gan_mat33_lmultl33IT_s

#define GAN_MAT_LMULTLIT_I   gan_mat33_lmultl33IT_i

#define GAN_MAT_RMULTL_Q   gan_mat33_rmultl33_q

#define GAN_MAT_RMULTL_S   gan_mat33_rmultl33_s

#define GAN_MAT_RMULTL_I   gan_mat33_rmultl33_i

#define GAN_MAT_RMULTLI_Q   gan_mat33_rmultl33I_q

#define GAN_MAT_RMULTLI_S   gan_mat33_rmultl33I_s

#define GAN_MAT_RMULTLI_I   gan_mat33_rmultl33I_i

#define GAN_MAT_RMULTLT_Q   gan_mat33_rmultl33T_q

#define GAN_MAT_RMULTLT_S   gan_mat33_rmultl33T_s

#define GAN_MAT_RMULTLT_I   gan_mat33_rmultl33T_i

#define GAN_MAT_RMULTLIT_Q   gan_mat33_rmultl33IT_q

#define GAN_MAT_RMULTLIT_S   gan_mat33_rmultl33IT_s

#define GAN_MAT_RMULTLIT_I   gan_mat33_rmultl33IT_i

#define GAN_MAT_SUMSQR_Q   gan_mat33_sumsqr_q

#define GAN_MAT_SUMSQR_S   gan_mat33_sumsqr_s

#define GAN_MAT_FNORM_Q   gan_mat33_Fnorm_q

#define GAN_MAT_FNORM_S   gan_mat33_Fnorm_s

#define GAN_MAT_FROM_MAT_Q   gan_mat33_from_mat_q

#define GAN_MAT_FROM_MAT_S   gan_mat33_from_mat_s

#define GAN_MAT_FROM_SQUMAT_Q   gan_mat33_from_squmat_q

#define GAN_MAT_FROM_SQUMAT_S   gan_mat33_from_squmat_s

#define GAN_SQUMAT_FROM_SQUMAT_Q   gan_squmat33_from_squmat_q

#define GAN_SQUMAT_FROM_SQUMAT_S   gan_squmat33_from_squmat_s

#define GAN_SQUMAT_IDENT_Q   gan_mat33_ident_q

#define GAN_SQUMAT_IDENT_S   gan_mat33_ident_s

#define GAN_SQUMAT_TPOSE_Q   gan_mat33_tpose_q

#define GAN_SQUMAT_TPOSE_S   gan_mat33_tpose_s

#define GAN_SQUMAT_TPOSE_I   gan_mat33_tpose_i

#define GAN_MAT_SADDT_Q   gan_mat33_saddT_q

#define GAN_MAT_SADDT_S   gan_mat33_saddT_s

#define GAN_SQUMAT_INVERT   gan_mat33_invert

#define GAN_SQUMAT_INVERT_Q   gan_mat33_invert_q

#define GAN_SQUMAT_INVERT_S   gan_mat33_invert_s

#define GAN_SQUMAT_INVERT_I   gan_mat33_invert_i

#define GAN_SQUMAT_ADJOINT_Q   gan_mat33_adjoint_q

#define GAN_SQUMAT_ADJOINT_S   gan_mat33_adjoint_s

#define GAN_SQUMAT_ADJOINTT_Q   gan_mat33_adjointT_q

#define GAN_SQUMAT_ADJOINTT_S   gan_mat33_adjointT_s

#define GAN_SQUMAT_DET_Q   gan_mat33_det_q

#define GAN_SQUMAT_DET_S   gan_mat33_det_s

#define GAN_SQUMAT_TRACE_Q   gan_mat33_trace_q

#define GAN_SQUMAT_TRACE_S   gan_mat33_trace_s

#define GAN_MATTYPE   Gan_SquMatrix33

#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_Vector3

#define GAN_VECTYPE2   Gan_Vector3

#define GAN_FIXED_MATRIX_TYPE   GAN_SYMMETRIC_MATRIX33

#define GAN_MAT_FPRINT   gan_symmat33_fprint

#define GAN_MAT_PRINT   gan_symmat33_print

#define GAN_MAT_FSCANF   gan_symmat33_fscanf

#define GAN_MAT_FWRITE   gan_symmat33_fwrite

#define GAN_MAT_FREAD   gan_symmat33_fread

#define GAN_MAT_ZERO_Q   gan_symmat33_zero_q

#define GAN_MAT_ZERO_S   gan_symmat33_zero_s

#define GAN_MAT_COPY_Q   gan_symmat33_copy_q

#define GAN_MAT_COPY_S   gan_symmat33_copy_s

#define GAN_MAT_SCALE_Q   gan_symmat33_scale_q

#define GAN_MAT_SCALE_S   gan_symmat33_scale_s

#define GAN_MAT_SCALE_I   gan_symmat33_scale_i

#define GAN_MAT_DIVIDE_Q   gan_symmat33_divide_q

#define GAN_MAT_DIVIDE_S   gan_symmat33_divide_s

#define GAN_MAT_DIVIDE_I   gan_symmat33_divide_i

#define GAN_MAT_NEGATE_Q   gan_symmat33_negate_q

#define GAN_MAT_NEGATE_S   gan_symmat33_negate_s

#define GAN_MAT_NEGATE_I   gan_symmat33_negate_i

#define GAN_MAT_UNIT_Q   gan_symmat33_unit_q

#define GAN_MAT_UNIT_S   gan_symmat33_unit_s

#define GAN_MAT_UNIT_I   gan_symmat33_unit_i

#define GAN_MAT_ADD_Q   gan_symmat33_add_q

#define GAN_MAT_ADD_I1   gan_symmat33_add_i1

#define GAN_MAT_ADD_I2   gan_symmat33_add_i2

#define GAN_MAT_INCREMENT   gan_symmat33_increment

#define GAN_MAT_ADD_S   gan_symmat33_add_s

#define GAN_MAT_SUB_Q   gan_symmat33_sub_q

#define GAN_MAT_SUB_I1   gan_symmat33_sub_i1

#define GAN_MAT_SUB_I2   gan_symmat33_sub_i2

#define GAN_MAT_DECREMENT   gan_symmat33_decrement

#define GAN_MAT_SUB_S   gan_symmat33_sub_s

#define GAN_MAT_MULTV_Q   gan_symmat33_multv3_q

#define GAN_MAT_MULTV_S   gan_symmat33_multv3_s

#define GAN_MAT_SUMSQR_Q   gan_symmat33_sumsqr_q

#define GAN_MAT_SUMSQR_S   gan_symmat33_sumsqr_s

#define GAN_MAT_FNORM_Q   gan_symmat33_Fnorm_q

#define GAN_MAT_FNORM_S   gan_symmat33_Fnorm_s

#define GAN_SQUMAT_IDENT_Q   gan_symmat33_ident_q

#define GAN_SQUMAT_IDENT_S   gan_symmat33_ident_s

#define GAN_SQUMAT_INVERT   gan_symmat33_invert

#define GAN_SQUMAT_INVERT_Q   gan_symmat33_invert_q

#define GAN_SQUMAT_INVERT_S   gan_symmat33_invert_s

#define GAN_SQUMAT_INVERT_I   gan_symmat33_invert_i

#define GAN_SQUMAT_DET_Q   gan_symmat33_det_q

#define GAN_SQUMAT_DET_S   gan_symmat33_det_s

#define GAN_SQUMAT_TRACE_Q   gan_symmat33_trace_q

#define GAN_SQUMAT_TRACE_S   gan_symmat33_trace_s

#define GAN_VEC_OUTER_SYM_Q   gan_vec33_outer_sym_q

#define GAN_VEC_OUTER_SYM_S   gan_vec33_outer_sym_s

#define GAN_SYMMAT_CHOLESKY   gan_symmat33_cholesky

#define GAN_SYMMAT_CHOLESKY_Q   gan_symmat33_cholesky_q

#define GAN_SYMMAT_CHOLESKY_S   gan_symmat33_cholesky_s

#define GAN_SYMMAT_CHOLESKY_I   gan_symmat33_cholesky_i

#define GAN_MATTYPE   Gan_SquMatrix33

#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_Vector3

#define GAN_VECTYPE2   Gan_Vector3

#define GAN_SQUMATTYPEL   Gan_SquMatrix33

#define GAN_SQUMATTYPER   Gan_SquMatrix33

#define GAN_FIXED_MATRIX_TYPE   GAN_LOWER_TRI_MATRIX33

#define GAN_MAT_FPRINT   gan_ltmat33_fprint

#define GAN_MAT_PRINT   gan_ltmat33_print

#define GAN_MAT_FSCANF   gan_ltmat33_fscanf

#define GAN_MAT_FWRITE   gan_ltmat33_fwrite

#define GAN_MAT_FREAD   gan_ltmat33_fread

#define GAN_MAT_ZERO_Q   gan_ltmat33_zero_q

#define GAN_MAT_ZERO_S   gan_ltmat33_zero_s

#define GAN_MAT_COPY_Q   gan_ltmat33_copy_q

#define GAN_MAT_COPY_S   gan_ltmat33_copy_s

#define GAN_MAT_SCALE_Q   gan_ltmat33_scale_q

#define GAN_MAT_SCALE_S   gan_ltmat33_scale_s

#define GAN_MAT_SCALE_I   gan_ltmat33_scale_i

#define GAN_MAT_DIVIDE_Q   gan_ltmat33_divide_q

#define GAN_MAT_DIVIDE_S   gan_ltmat33_divide_s

#define GAN_MAT_DIVIDE_I   gan_ltmat33_divide_i

#define GAN_MAT_NEGATE_Q   gan_ltmat33_negate_q

#define GAN_MAT_NEGATE_S   gan_ltmat33_negate_s

#define GAN_MAT_NEGATE_I   gan_ltmat33_negate_i

#define GAN_MAT_UNIT_Q   gan_ltmat33_unit_q

#define GAN_MAT_UNIT_S   gan_ltmat33_unit_s

#define GAN_MAT_UNIT_I   gan_ltmat33_unit_i

#define GAN_MAT_ADD_Q   gan_ltmat33_add_q

#define GAN_MAT_ADD_I1   gan_ltmat33_add_i1

#define GAN_MAT_ADD_I2   gan_ltmat33_add_i2

#define GAN_MAT_INCREMENT   gan_ltmat33_increment

#define GAN_MAT_ADD_S   gan_ltmat33_add_s

#define GAN_MAT_SUB_Q   gan_ltmat33_sub_q

#define GAN_MAT_SUB_I1   gan_ltmat33_sub_i1

#define GAN_MAT_SUB_I2   gan_ltmat33_sub_i2

#define GAN_MAT_DECREMENT   gan_ltmat33_decrement

#define GAN_MAT_SUB_S   gan_ltmat33_sub_s

#define GAN_MAT_MULTV_Q   gan_ltmat33_multv3_q

#define GAN_MAT_MULTV_S   gan_ltmat33_multv3_s

#define GAN_MAT_MULTV_I   gan_ltmat33_multv3_i

#define GAN_MATT_MULTV_Q   gan_ltmat33T_multv3_q

#define GAN_MATT_MULTV_S   gan_ltmat33T_multv3_s

#define GAN_MATT_MULTV_I   gan_ltmat33T_multv3_i

#define GAN_MAT_SRMULTT_Q   gan_ltmat33_srmultT_q

#define GAN_MAT_SRMULTT_S   gan_ltmat33_srmultT_s

#define GAN_MAT_SRMULTT_I   gan_ltmat33_srmultT_i

#define GAN_MAT_SLMULTT_Q   gan_ltmat33_slmultT_q

#define GAN_MAT_SLMULTT_S   gan_ltmat33_slmultT_s

#define GAN_MAT_SLMULTT_I   gan_ltmat33_slmultT_i

#define GAN_MAT_SUMSQR_Q   gan_ltmat33_sumsqr_q

#define GAN_MAT_SUMSQR_S   gan_ltmat33_sumsqr_s

#define GAN_MAT_FNORM_Q   gan_ltmat33_Fnorm_q

#define GAN_MAT_FNORM_S   gan_ltmat33_Fnorm_s

#define GAN_SQUMAT_IDENT_Q   gan_ltmat33_ident_q

#define GAN_SQUMAT_IDENT_S   gan_ltmat33_ident_s

#define GAN_SQUMATI_MULTV_Q   gan_ltmat33I_multv3_q

#define GAN_SQUMATI_MULTV_S   gan_ltmat33I_multv3_s

#define GAN_SQUMATI_MULTV_I   gan_ltmat33I_multv3_i

#define GAN_SQUMATIT_MULTV_Q   gan_ltmat33IT_multv3_q

#define GAN_SQUMATIT_MULTV_S   gan_ltmat33IT_multv3_s

#define GAN_SQUMATIT_MULTV_I   gan_ltmat33IT_multv3_i

#define GAN_SQUMAT_INVERT   gan_ltmat33_invert

#define GAN_SQUMAT_INVERT_Q   gan_ltmat33_invert_q

#define GAN_SQUMAT_INVERT_S   gan_ltmat33_invert_s

#define GAN_SQUMAT_INVERT_I   gan_ltmat33_invert_i

#define GAN_SQUMAT_DET_Q   gan_ltmat33_det_q

#define GAN_SQUMAT_DET_S   gan_ltmat33_det_s

#define GAN_SQUMAT_TRACE_Q   gan_ltmat33_trace_q

#define GAN_SQUMAT_TRACE_S   gan_ltmat33_trace_s

#define GAN_MATTYPE   Gan_SquMatrix33

#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_ltmat33T_fprint

#define GAN_MAT_PRINT   gan_ltmat33T_print

#define GAN_MAT_FSCANF   gan_ltmat33T_fscanf

#define GAN_FIXED_MATRIX_TYPE   GAN_LOWER_TRI_MATRIX33

#define gan_ltmat33T_fwrite   gan_ltmat33_fwrite

#define gan_ltmat33T_fread   gan_ltmat33_fread

Typedefs

typedef Gan_Matrix33 Gan_Matrix33

Structure definition for double precision 3x3 matrix.

typedef Gan_SquMatrix33 Gan_SquMatrix33

Structure definition for square double precision 3x3 matrix.

Enumerations

enum Gan_SquMatrix33Type { GAN_SYMMETRIC_MATRIX33, GAN_LOWER_TRI_MATRIX33 }

Square matrix type, for setting and checking in debug mode.

Functions

Gan_Matrix33 * gan_mat33_fill_q (Gan_Matrix33 *A, double XX, double XY, double XZ, double YX, double YY, double YZ, double ZX, double ZY, double ZZ)

Macro: Fill 3x3 matrix with values.

Gan_Matrix33 * gan_mat33_cross_q (const Gan_Vector3 *p, const Gan_Matrix33 *A)

Macro: Compute vector product matrix.

void gan_mat33_get_rows_q (const Gan_Matrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q, Gan_Vector3 *r)

Macro: Extract rows of 3x3 matrix.

void gan_mat33_get_cols_q (const Gan_Matrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q, Gan_Vector3 *r)

Macro: Extract columns of 3x3 matrix.

Gan_Matrix22 * gan_mat33_get_m22tl_q (const Gan_Matrix33 *A, Gan_Matrix22 *B)

Macro: Extract top-left 2x2 part of 3x3 matrix.

Gan_Vector2 * gan_mat33_get_v2tr_q (const Gan_Matrix33 *A, Gan_Vector2 *p)

Macro: Extract top part of right hand column of 3x3 matrix.

void gan_mat33_get_parts_q (const Gan_Matrix33 *A, Gan_Matrix22 *B, Gan_Vector2 *p, Gan_Vector2 *q, double *s)

Macro: Extract parts of 3x3 matrix.

Gan_Matrix33 * gan_mat33_set_parts_q (Gan_Matrix33 *A, const Gan_Matrix22 *B, const Gan_Vector2 *p, const Gan_Vector2 *q, double s)

Macro: Build a 3x3 matrix from parts.

Gan_Matrix33 * gan_mat33_set_cols_q (Gan_Matrix33 *A, const Gan_Vector3 *p, const Gan_Vector3 *q, const Gan_Vector3 *r)

Macro: Build 3x3 matrix from 3-vector columns.

Gan_Matrix33 * gan_mat33_set_rows_q (Gan_Matrix33 *A, const Gan_Vector3 *p, const Gan_Vector3 *q, const Gan_Vector3 *r)

Macro: Build 3x3 matrix from 3-vector rows.

Gan_Matrix33 * gan_mat33_ident_q (Gan_Matrix33 *A)

Macro: Fill fixed size square matrix with identity.

Gan_Matrix33 * gan_mat33_tpose_q (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Transpose fixed size square matrix.

Gan_SquMatrix33 * gan_mat33_saddT_q (const Gan_Matrix33 *A, Gan_SquMatrix33 *B)

Macro: Add matrix to its own transpose.

Gan_Matrix33 * gan_mat33_invert_q (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Invert fixed size square matrix.

Gan_Matrix33 * gan_mat33_invert_i (Gan_Matrix33 *A)

Macro: Invert fixed size square matrix in-place.

double gan_mat33_det_q (const Gan_Matrix33 *A)

Macro: Determinant of square matrix.

double gan_mat33_trace_q (const Gan_Matrix33 *A)

Macro: Trace of square matrix.

Gan_Matrix33 * gan_mat33_zero_q (const Gan_Matrix33 *A)

Macro: Fill fixed size matrix with zero.

Gan_Matrix33 * gan_mat33_copy_q (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Copy fixed size matrix.

Gan_Matrix33 * gan_mat33_scale_q (Gan_Matrix33 *A, double a, Gan_Matrix33 *B)

Macro: Scale fixed size matrix.

Gan_Matrix33 * gan_mat33_scale_i (Gan_Matrix33 *A, double a)

Macro: Scale fixed size matrix.

Gan_Matrix33 * gan_mat33_divide_q (Gan_Matrix33 *A, double a, Gan_Matrix33 *B)

Macro: Divide fixed size matrix by scalar.

Gan_Matrix33 * gan_mat33_divide_i (Gan_Matrix33 *A, double a)

Macro: Divide fixed size matrix by scalar.

Gan_Matrix33 * gan_mat33_negate_q (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Negate fixed size matrix.

Gan_Matrix33 * gan_mat33_negate_i (Gan_Matrix33 *A)

Macro: Negate fixed size matrix.

Gan_Matrix33 * gan_mat33_unit_i (Gan_Matrix33 *A)

Macro: Scale matrix to unit norm.

Gan_Matrix33 * gan_mat33_add_q (Gan_Matrix33 *A, Gan_Matrix33 *B, Gan_Matrix33 *C)

Macro: Add two fixed size matrices.

Gan_Matrix33 * gan_mat33_add_i1 (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Add two fixed size matrices.

Gan_Matrix33 * gan_mat33_add_i2 (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Add two fixed size matrices.

Gan_Matrix33 * gan_mat33_increment (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Increment a fixed size vector by another.

Gan_Matrix33 * gan_mat33_sub_q (Gan_Matrix33 *A, Gan_Matrix33 *B, Gan_Matrix33 *C)

Macro: Subtract two fixed size matrices.

Gan_Matrix33 * gan_mat33_sub_i1 (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_Matrix33 * gan_mat33_sub_i2 (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_Matrix33 * gan_mat33_decrement (Gan_Matrix33 *A, Gan_Matrix33 *B)

Macro: Decrement a fixed size vector by another.

Gan_Matrix33 * gan_vec33_outer_q (const Gan_Vector3 *p, const Gan_Vector3 *q, Gan_Matrix33 *A)

Macro: Compute the outer product of two fixed size vectors.

Gan_Vector3 * gan_mat33_multv3_q (const Gan_Matrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Matrix/vector product.

Gan_Vector3 * gan_mat33T_multv3_q (const Gan_Matrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Matrix/vector product with the matrix transposed.

Gan_Matrix33 * gan_mat33_lmultm33T_q (Gan_Matrix33 *A, const Gan_Matrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by the transpose of another matrix.

Gan_Matrix33 * gan_mat33_rmultm33_q (Gan_Matrix33 *A, const Gan_Matrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by another matrix.

Gan_Matrix33 * gan_mat33_rmultm33T_q (Gan_Matrix33 *A, const Gan_Matrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by the transpose of another matrix.

Gan_SquMatrix33 * gan_mat33_lmultm33T_sym_q (const Gan_Matrix33 *A, const Gan_Matrix33 *B, Gan_SquMatrix33 *C)

Macro: Matrix product producing a symmetric matrix.

Gan_SquMatrix33 * gan_mat33_rmultm33T_sym_q (const Gan_Matrix33 *A, const Gan_Matrix33 *B, Gan_SquMatrix33 *C)

Macro: Matrix product producing a symmetric matrix.

Gan_Matrix33 * gan_mat33_lmults33_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by a symmetric matrix.

Gan_Matrix33 * gan_mat33_rmults33_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by a symmetric matrix.

Gan_SquMatrix33 * gan_symmat33_lrmultm33T_q (const Gan_SquMatrix33 *A, const Gan_Matrix33 *B, const Gan_Matrix33 *C, Gan_SquMatrix33 *D)

Macro: Matrix triple product involving symmetric matrices.

Gan_SquMatrix33 * gan_symmat33_lrmultm33_q (const Gan_SquMatrix33 *A, const Gan_Matrix33 *B, const Gan_Matrix33 *C, Gan_SquMatrix33 *D)

Macro: Matrix triple product involving symmetric matrices.

Gan_Matrix33 * gan_mat33_lmultl33_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33I_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33T_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33IT_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Left-multiply a matrix by the inverse transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33I_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33T_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33IT_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B, Gan_Matrix33 *C)

Macro: Right-multiply a matrix by the inverse transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33I_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33T_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_lmultl33IT_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by the inverse transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33I_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by the inverse of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33T_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by the transpose of a lower-triangular matrix.

Gan_Matrix33 * gan_mat33_rmultl33IT_i (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by the inverse transpose of a lower-triangular matrix.

Gan_SquMatrix33 * gan_mat33_slmultT_q (Gan_Matrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_SquMatrix33 * gan_mat33_srmultT_q (const Gan_Matrix33 *A, Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by its own transpose, producing a symmetric matrix.

double gan_mat33_sumsqr_q (const Gan_Matrix33 *A)

Macro: Returns sum of squares of matrix elements.

double gan_mat33_Fnorm_q (const Gan_Matrix33 *A)

Macro: Frobenius norm of matrix.

Gan_SquMatrix33 * gan_symmat33_fill_q (Gan_SquMatrix33 *A, double XX, double YX, double YY, double ZX, double ZY, double ZZ)

Macro: Fill 3x3 symmetric matrix with values.

void gan_symmat33_get_parts_q (const Gan_SquMatrix33 *A, Gan_SquMatrix22 *B, Gan_Vector2 *p, double *s)

Macro: Extract parts of 3x3 symmetric matrix.

Gan_SquMatrix33 * gan_symmat33_set_parts_q (Gan_SquMatrix33 *A, const Gan_SquMatrix22 *B, const Gan_Vector2 *p, double s)

Macro: Build a 3x3 symmetric matrix from parts.

Gan_SquMatrix33 * gan_vec33_outer_sym_q (const Gan_Vector3 *p, Gan_SquMatrix33 *A)

Macro: Computes the outer product of vector with itself.

Gan_SquMatrix33 * gan_symmat33_cholesky_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Compute Cholesky factorisation of fixed size symmetric matrix.

Gan_SquMatrix33 * gan_symmat33_cholesky_i (Gan_SquMatrix33 *A)

Macro: Compute Cholesky factorisation of fixed size symmetric matrix.

Gan_SquMatrix33 * gan_symmat33_ident_q (Gan_SquMatrix33 *A)

Macro: Fill fixed size square matrix with identity.

Gan_SquMatrix33 * gan_symmat33_invert_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Invert fixed size square matrix.

Gan_SquMatrix33 * gan_symmat33_invert_i (Gan_SquMatrix33 *A)

Macro: Invert fixed size square matrix in-place.

double gan_symmat33_det_q (const Gan_SquMatrix33 *A)

Macro: Determinant of square matrix.

double gan_symmat33_trace_q (const Gan_SquMatrix33 *A)

Macro: Trace of square matrix.

Gan_SquMatrix33 * gan_symmat33_zero_q (const Gan_SquMatrix33 *A)

Macro: Fill fixed size matrix with zero.

Gan_SquMatrix33 * gan_symmat33_copy_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Copy fixed size matrix.

Gan_SquMatrix33 * gan_symmat33_scale_q (Gan_SquMatrix33 *A, double a, Gan_SquMatrix33 *B)

Macro: Scale fixed size matrix.

Gan_SquMatrix33 * gan_symmat33_scale_i (Gan_SquMatrix33 *A, double a)

Macro: Scale fixed size matrix.

Gan_SquMatrix33 * gan_symmat33_divide_q (Gan_SquMatrix33 *A, double a, Gan_SquMatrix33 *B)

Macro: Divide fixed size matrix by scalar.

Gan_SquMatrix33 * gan_symmat33_divide_i (Gan_SquMatrix33 *A, double a)

Macro: Divide fixed size matrix by scalar.

Gan_SquMatrix33 * gan_symmat33_negate_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Negate fixed size matrix.

Gan_SquMatrix33 * gan_symmat33_negate_i (Gan_SquMatrix33 *A)

Macro: Negate fixed size matrix.

Gan_SquMatrix33 * gan_symmat33_unit_i (Gan_SquMatrix33 *A)

Macro: Scale matrix to unit norm.

Gan_SquMatrix33 * gan_symmat33_add_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B, Gan_SquMatrix33 *C)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_add_i1 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_add_i2 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_increment (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Increment a fixed size vector by another.

Gan_SquMatrix33 * gan_symmat33_sub_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B, Gan_SquMatrix33 *C)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_sub_i1 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_sub_i2 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_symmat33_decrement (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Decrement a fixed size vector by another.

Gan_Vector3 * gan_symmat33_multv3_q (const Gan_SquMatrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Matrix/vector product.

double gan_symmat33_sumsqr_q (const Gan_SquMatrix33 *A)

Macro: Returns sum of squares of matrix elements.

double gan_symmat33_Fnorm_q (const Gan_SquMatrix33 *A)

Macro: Frobenius norm of matrix.

Gan_SquMatrix33 * gan_ltmat33_fill_q (Gan_SquMatrix33 *A, double XX, double YX, double YY, double ZX, double ZY, double ZZ)

Macro: Fill 3x3 lower triangular matrix with values.

void gan_ltmat33_get_parts_q (const Gan_SquMatrix33 *A, Gan_SquMatrix22 *B, Gan_Vector2 *p, double *s)

Macro: Extract parts of 3x3 lower triangular matrix.

Gan_SquMatrix33 * gan_ltmat33_set_parts_q (Gan_SquMatrix33 *A, const Gan_SquMatrix22 *B, const Gan_Vector2 *p, double s)

Macro: Build a 3x3 lower triangular matrix from parts.

Gan_SquMatrix33 * gan_ltmat33_ident_q (Gan_SquMatrix33 *A)

Macro: Fill fixed size square matrix with identity.

Gan_Vector3 * gan_ltmat33I_multv3_q (const Gan_SquMatrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Computes the product of the inverse of a matrix and a vector.

Gan_Vector3 * gan_ltmat33I_multv3_i (const Gan_SquMatrix33 *A, Gan_Vector3 *p)

Macro: Computes the product of the inverse of matrix and a vector in-place.

Gan_Vector3 * gan_ltmat33IT_multv3_q (const Gan_SquMatrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Computes the product of an inverted transposed matrix and a vector.

Gan_Vector3 * gan_ltmat33IT_multv3_i (const Gan_SquMatrix33 *A, Gan_Vector3 *p)

Macro: Computes the product of an inverted transposed matrix and a vector in-place.

Gan_SquMatrix33 * gan_ltmat33_invert_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Invert fixed size square matrix.

Gan_SquMatrix33 * gan_ltmat33_invert_i (Gan_SquMatrix33 *A)

Macro: Invert fixed size square matrix in-place.

double gan_ltmat33_det_q (const Gan_SquMatrix33 *A)

Macro: Determinant of square matrix.

double gan_ltmat33_trace_q (const Gan_SquMatrix33 *A)

Macro: Trace of square matrix.

Gan_SquMatrix33 * gan_ltmat33_zero_q (const Gan_SquMatrix33 *A)

Macro: Fill fixed size matrix with zero.

Gan_SquMatrix33 * gan_ltmat33_copy_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Copy fixed size matrix.

Gan_SquMatrix33 * gan_ltmat33_scale_q (Gan_SquMatrix33 *A, double a, Gan_SquMatrix33 *B)

Macro: Scale fixed size matrix.

Gan_SquMatrix33 * gan_ltmat33_scale_i (Gan_SquMatrix33 *A, double a)

Macro: Scale fixed size matrix.

Gan_SquMatrix33 * gan_ltmat33_divide_q (Gan_SquMatrix33 *A, double a, Gan_SquMatrix33 *B)

Macro: Divide fixed size matrix by scalar.

Gan_SquMatrix33 * gan_ltmat33_divide_i (Gan_SquMatrix33 *A, double a)

Macro: Divide fixed size matrix by scalar.

Gan_SquMatrix33 * gan_ltmat33_negate_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Negate fixed size matrix.

Gan_SquMatrix33 * gan_ltmat33_negate_i (Gan_SquMatrix33 *A)

Macro: Negate fixed size matrix.

Gan_SquMatrix33 * gan_ltmat33_unit_i (Gan_SquMatrix33 *A)

Macro: Scale matrix to unit norm.

Gan_SquMatrix33 * gan_ltmat33_add_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B, Gan_SquMatrix33 *C)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_add_i1 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_add_i2 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Add two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_increment (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Increment a fixed size vector by another.

Gan_SquMatrix33 * gan_ltmat33_sub_q (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B, Gan_SquMatrix33 *C)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_sub_i1 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_sub_i2 (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Subtract two fixed size matrices.

Gan_SquMatrix33 * gan_ltmat33_decrement (Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Decrement a fixed size vector by another.

Gan_Vector3 * gan_ltmat33_multv3_q (const Gan_SquMatrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Matrix/vector product.

Gan_Vector3 * gan_ltmat33_multv3_i (const Gan_SquMatrix33 *A, Gan_Vector3 *p)

Macro: Matrix/vector product.

Gan_Vector3 * gan_ltmat33T_multv3_q (const Gan_SquMatrix33 *A, Gan_Vector3 *p, Gan_Vector3 *q)

Macro: Matrix/vector product with the matrix transposed.

Gan_Vector3 * gan_ltmat33T_multv3_i (const Gan_SquMatrix33 *A, Gan_Vector3 *p)

Macro: Matrix/vector product with the matrix transposed.

Gan_SquMatrix33 * gan_ltmat33_slmultT_q (Gan_SquMatrix33 *A, const Gan_SquMatrix33 *B)

Macro: Left-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_SquMatrix33 * gan_ltmat33_slmultT_i (Gan_SquMatrix33 *A)

Macro: Left-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_SquMatrix33 * gan_ltmat33_srmultT_q (const Gan_SquMatrix33 *A, Gan_SquMatrix33 *B)

Macro: Right-multiply a matrix by its own transpose, producing a symmetric matrix.

Gan_SquMatrix33 * gan_ltmat33_srmultT_i (Gan_SquMatrix33 *A)

Macro: Right-multiply a matrix by its own transpose, producing a symmetric matrix.

double gan_ltmat33_sumsqr_q (const Gan_SquMatrix33 *A)

Macro: Returns sum of squares of matrix elements.

double gan_ltmat33_Fnorm_q (const Gan_SquMatrix33 *A)

Macro: Frobenius norm of matrix.

Detailed Description

Module: 3x3 matrices (double precision)

Part of: Gandalf Library

Version:: 1.12

Date:: 2006/03/15 16:18:23

Author:: pm

Define Documentation

#define GAN_FREP33_A ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3,
r11,
r12,
r13,
r21,
r22,
r23,
r31,
r32,
r33 )

Value:
(GAN_FREP3_A(a,b,p1##q1,p1##q2,p1##q3,r11,r12,r13),\ GAN_FREP3_A(a,b,p2##q1,p2##q2,p2##q3,r21,r22,r23),\ GAN_FREP3_A(a,b,p3##q1,p3##q2,p3##q3,r31,r32,r33))

#define GAN_FREP33L_A ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3,
r11,
r21,
r22,
r31,
r32,
r33 )

Value:
(GAN_FREP1_A(a,b,p1##q1,r11),\ GAN_FREP2_A(a,b,p2##q1,p2##q2,r21,r22),\ GAN_FREP3_A(a,b,p3##q1,p3##q2,p3##q3,r31,r32,r33))

#define GAN_REP1_AS ( a,
b,
p1 ) (a p1 b)

File:
RCSfile
repeat1_noc.h,v
Module: Macros for 1-fold repetition of vector/matrix operations Part of: Gandalf Library
Revision:
Revision
1.5
Last edited:
Date
2002/04/18 14:56:25
Author:
Author
pm
Copyright: (c) 2000 Imagineer Software Limited
Notes: Not to be compiled separately

#define GAN_REP2_AS ( a,
b,
p1,
p2 ) (a p1 b, a p2 b)

File:
RCSfile
repeat2_noc.h,v
Module: Macros for 2-fold repetition of vector/matrix operations Part of: Gandalf Library
Revision:
Revision
1.5
Last edited:
Date
2002/04/18 14:56:25
Author:
Author
pm
Copyright: (c) 2000 Imagineer Software Limited
Notes: Not to be compiled separately

#define GAN_REP33_A ( a,
p1,
p2,
p3,
q1,
q2,
q3 )

Value:
(GAN_REP3_A(a,p1##q1,p1##q2,p1##q3),\ GAN_REP3_A(a,p2##q1,p2##q2,p2##q3),\ GAN_REP3_A(a,p3##q1,p3##q2,p3##q3))

#define GAN_REP33_AAT ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3 )

Value:
(GAN_REP3_AB(a,b,p1##q1,p1##q2,p1##q3,p1##q1,p2##q1,p3##q1),\ GAN_REP3_AB(a,b,p2##q1,p2##q2,p2##q3,p1##q2,p2##q2,p3##q2),\ GAN_REP3_AB(a,b,p3##q1,p3##q2,p3##q3,p1##q3,p2##q3,p3##q3))

#define GAN_REP33_AB ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3 )

Value:
(GAN_REP3_AB(a,b,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3),\ GAN_REP3_AB(a,b,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3),\ GAN_REP3_AB(a,b,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3))

#define GAN_REP33_ABC ( a,
b,
c,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3,
t1,
t2,
t3,
u1,
u2,
u3 )

Value:
(GAN_REP3_ABC(a,b,c,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3,t1##u1,t1##u2,t1##u3),\ GAN_REP3_ABC(a,b,c,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3,t2##u1,t2##u2,t2##u3),\ GAN_REP3_ABC(a,b,c,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3,t3##u1,t3##u2,t3##u3))

#define GAN_REP33_ABCS ( a,
b,
c,
d,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3,
t1,
t2,
t3,
u1,
u2,
u3 )

Value:
(GAN_REP3_ABCS(a,b,c,d,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3,t1##u1,t1##u2,t1##u3),\ GAN_REP3_ABCS(a,b,c,d,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3,t2##u1,t2##u2,t2##u3),\ GAN_REP3_ABCS(a,b,c,d,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3,t3##u1,t3##u2,t3##u3))

#define GAN_REP33_ABS ( a,
b,
c,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3 )

Value:
(GAN_REP3_ABS(a,b,c,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3),\ GAN_REP3_ABS(a,b,c,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3),\ GAN_REP3_ABS(a,b,c,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3))

#define GAN_REP33_AS ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3 )

Value:
(GAN_REP3_AS(a,b,p1##q1,p1##q2,p1##q3),\ GAN_REP3_AS(a,b,p2##q1,p2##q2,p2##q3),\ GAN_REP3_AS(a,b,p3##q1,p3##q2,p3##q3))

#define GAN_REP33L_A ( a,
p1,
p2,
p3,
q1,
q2,
q3 )

Value:
(GAN_REP1_A(a,p1##q1),\ GAN_REP2_A(a,p2##q1,p2##q2),\ GAN_REP3_A(a,p3##q1,p3##q2,p3##q3))

#define GAN_REP33L_AB ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3 )

Value:
(GAN_REP1_AB(a,b,p1##q1,r1##s1),\ GAN_REP2_AB(a,b,p2##q1,p2##q2,r2##s1,r2##s2),\ GAN_REP3_AB(a,b,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3))

#define GAN_REP33L_ABC ( a,
b,
c,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3,
t1,
t2,
t3,
u1,
u2,
u3 )

Value:
(GAN_REP1_ABC(a,b,c,p1##q1,r1##s1,t1##u1),\ GAN_REP2_ABC(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2),\ GAN_REP3_ABC(a,b,c,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3,t3##u1,t3##u2,t3##u3))

#define GAN_REP33L_ABCS ( a,
b,
c,
d,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3,
t1,
t2,
t3,
u1,
u2,
u3 )

Value:
(GAN_REP1_ABCS(a,b,c,d,p1##q1,r1##s1,t1##u1),\ GAN_REP2_ABCS(a,b,c,d,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2),\ GAN_REP3_ABCS(a,b,c,d,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3,t3##u1,t3##u2,t3##u3))

#define GAN_REP33L_ABS ( a,
b,
c,
p1,
p2,
p3,
q1,
q2,
q3,
r1,
r2,
r3,
s1,
s2,
s3 )

Value:
(GAN_REP1_ABS(a,b,c,p1##q1,r1##s1),\ GAN_REP2_ABS(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2),\ GAN_REP3_ABS(a,b,c,p3##q1,p3##q2,p3##q3,r3##s1,r3##s2,r3##s3))

#define GAN_REP33L_AS ( a,
b,
p1,
p2,
p3,
q1,
q2,
q3 )

Value:
(GAN_REP1_AS(a,b,p1##q1),\ GAN_REP2_AS(a,b,p2##q1,p2##q2),\ GAN_REP3_AS(a,b,p3##q1,p3##q2,p3##q3))

#define GAN_REP3_AS ( a,
b,
p1,
p2,
p3 ) (a p1 b, a p2 b, a p3 b)

File:
RCSfile
repeat3_noc.h,v
Module: Macros for 3-fold repetition of vector/matrix operations Part of: Gandalf Library
Revision:
Revision
1.5
Last edited:
Date
2002/04/18 14:56:25
Author:
Author
pm
Copyright: (c) 2000 Imagineer Software Limited
Notes: Not to be compiled separately

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