2x3matrix.h Source File

00001 
00014 /* This library is free software; you can redistribute it and/or
00015    modify it under the terms of the GNU Lesser General Public
00016    License as published by the Free Software Foundation; either
00017    version 2.1 of the License, or (at your option) any later version.
00018 
00019    This library is distributed in the hope that it will be useful,
00020    but WITHOUT ANY WARRANTY; without even the implied warranty of
00021    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00022    Lesser General Public License for more details.
00023 
00024    You should have received a copy of the GNU Lesser General Public
00025    License along with this library; if not, write to the Free Software
00026    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00027 */
00028 
00029 #ifndef _GAN_2X3MATRIX_H
00030 #define _GAN_2X3MATRIX_H
00031 
00032 #include <stdlib.h>
00033 #include <stdio.h>
00034 #include <math.h>
00035 #include <gandalf/common/misc_defs.h>
00049 /* This library is free software; you can redistribute it and/or
00050    modify it under the terms of the GNU Lesser General Public
00051    License as published by the Free Software Foundation; either
00052    version 2.1 of the License, or (at your option) any later version.
00053 
00054    This library is distributed in the hope that it will be useful,
00055    but WITHOUT ANY WARRANTY; without even the implied warranty of
00056    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00057    Lesser General Public License for more details.
00058 
00059    You should have received a copy of the GNU Lesser General Public
00060    License along with this library; if not, write to the Free Software
00061    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00062 */
00063 
00064 #ifndef _GAN_REPEAT23_H
00065 #define _GAN_REPEAT23_H
00066 
00080 /* This library is free software; you can redistribute it and/or
00081    modify it under the terms of the GNU Lesser General Public
00082    License as published by the Free Software Foundation; either
00083    version 2.1 of the License, or (at your option) any later version.
00084 
00085    This library is distributed in the hope that it will be useful,
00086    but WITHOUT ANY WARRANTY; without even the implied warranty of
00087    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00088    Lesser General Public License for more details.
00089 
00090    You should have received a copy of the GNU Lesser General Public
00091    License along with this library; if not, write to the Free Software
00092    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00093 */
00094 
00095 #ifndef _GAN_REPEAT3_H
00096 #define _GAN_REPEAT3_H
00097 
00098 #ifdef __cplusplus
00099 extern "C" {
00100 #endif
00101 
00102 /* macros for constructing three-fold repetitions */
00103 #define GAN_REP3_AS(a,b,p1,p2,p3) (a p1 b, a p2 b, a p3 b)
00104 #define GAN_REP3_AS_C(a,b) GAN_REP3_AS(a,b,x,y,z)
00105 #define GAN_REP3_A(a,p1,p2,p3) (a p1, a p2, a p3)
00106 #define GAN_REP3_A_C(a) GAN_REP3_A(a,x,y,z)
00107 
00108 #define GAN_FREP3_A(a,b,p1,p2,p3,q1,q2,q3) (a p1 b q1, a p2 b q2, a p3 b q3)
00109 #define GAN_FREP3_A_C(a,b,p1,p2,p3) GAN_FREP3_A(a,b,x,y,z,p1,p2,p3)
00110 
00111 
00112 #define GAN_REP3_ABS(a,b,c,p1,p2,p3,q1,q2,q3)\
00113            (a p1 b q1 c, a p2 b q2 c, a p3 b q3 c)
00114 #define GAN_REP3_AAS(a,b,c,p1,p2,p3) GAN_REP3_ABS(a,b,c,p1,p2,p3,p1,p2,p3)
00115 #define GAN_REP3_AAS_C(a,b,c) GAN_REP3_AAS(a,b,c,x,y,z)
00116 
00117 #define GAN_REP3_AB(a,b,p1,p2,p3,q1,q2,q3)\
00118            (a p1 b q1, a p2 b q2, a p3 b q3)
00119 #define GAN_REP3_AA(a,b,p1,p2,p3) GAN_REP3_AB(a,b,p1,p2,p3,p1,p2,p3)
00120 #define GAN_REP3_AA_C(a,b) GAN_REP3_AA(a,b,x,y,z)
00121 
00122 #define GAN_REP3_ABCS(a,b,c,d,p1,p2,p3,q1,q2,q3,r1,r2,r3)\
00123            (a p1 b q1 c r1 d, a p2 b q2 c r2 d, a p3 b q3 c r3 d)
00124 #define GAN_REP3_ABC(a,b,c,p1,p2,p3,q1,q2,q3,r1,r2,r3)\
00125            (a p1 b q1 c r1, a p2 b q2 c r2, a p3 b q3 c r3)
00126 #define GAN_REP3_AAA(a,b,c,p1,p2,p3)\
00127         GAN_REP3_ABC(a,b,c,p1,p2,p3,p1,p2,p3,p1,p2,p3)
00128 #define GAN_REP3_AAA_C(a,b,c) GAN_REP3_AAA(a,b,c,x,y,z)
00129 
00130 #define GAN_REP3_OP_AB(a,b,p1,p2,p3,q1,q2,q3,op)\
00131            (a p1 b q1 op a p2 b q2 op a p3 b q3)
00132 #define GAN_REP3_OP_AA(a,b,p1,p2,p3,op)\
00133            GAN_REP3_OP_AB(a,b,p1,p2,p3,p1,p2,p3,op)
00134 #define GAN_REP3_OP_AA_C(a,b,op) GAN_REP3_OP_AA(a,b,x,y,z,op)
00135 
00136 #ifdef __cplusplus
00137 }
00138 #endif
00139 
00140 #endif /* #ifndef _GAN_REPEAT3_H */
00141 
00142 #ifdef __cplusplus
00143 extern "C" {
00144 #endif
00145 
00146 /* macros for constructing dual two-fold repetitions */
00147 
00148 #define GAN_FREP23_A(a,b,p1,p2,q1,q2,q3,r11,r12,r13,r21,r22,r23)\
00149             (GAN_FREP3_A(a,b,p1##q1,p1##q2,p1##q3,r11,r12,r13),\
00150              GAN_FREP3_A(a,b,p2##q1,p2##q2,p2##q3,r21,r22,r23))
00151 #define GAN_FREP23_A_C(a,b,r11,r12,r13,r21,r22,r23) \
00152            GAN_FREP23_A(a,b,x,y,x,y,z,r11,r12,r13,r21,r22,r23)
00153 
00154 /* most general macros */
00155 #define GAN_REP23_ABCS(a,b,c,d,p1,p2,q1,q2,q3,r1,r2,s1,s2,s3,t1,t2,u1,u2,u3)\
00156  (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),\
00157   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))
00158 #define GAN_REP23_ABC(a,b,c,p1,p2,q1,q2,q3,r1,r2,s1,s2,s3,t1,t2,u1,u2,u3)\
00159  (GAN_REP3_ABC(a,b,c,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3,t1##u1,t1##u2,t1##u3),\
00160   GAN_REP3_ABC(a,b,c,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3,t2##u1,t2##u2,t2##u3))
00161 
00162 #define GAN_REP23_AAAS(a,b,c,d,p1,p2,q1,q2,q3)\
00163    GAN_REP23_ABCS(a,b,c,d,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3)
00164 #define GAN_REP23_AAA(a,b,c,p1,p2,q1,q2,q3)\
00165    GAN_REP23_ABC(a,b,c,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3)
00166 #define GAN_REP23_ABS(a,b,c,p1,p2,q1,q2,q3,r1,r2,s1,s2,s3)\
00167  (GAN_REP3_ABS(a,b,c,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3),\
00168   GAN_REP3_ABS(a,b,c,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3))
00169 #define GAN_REP23_AB(a,b,p1,p2,q1,q2,q3,r1,r2,s1,s2,s3)\
00170  (GAN_REP3_AB(a,b,p1##q1,p1##q2,p1##q3,r1##s1,r1##s2,r1##s3),\
00171   GAN_REP3_AB(a,b,p2##q1,p2##q2,p2##q3,r2##s1,r2##s2,r2##s3))
00172 #define GAN_REP23_AAS(a,b,c,p1,p2,q1,q2,q3)\
00173             GAN_REP23_ABS(a,b,c,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3)
00174 #define GAN_REP23_AA(a,b,p1,p2,q1,q2,q3)\
00175             GAN_REP23_AB(a,b,p1,p2,q1,q2,q3,p1,p2,q1,q2,q3)
00176 #define GAN_REP23_AS(a,b,p1,p2,q1,q2,q3)\
00177  (GAN_REP3_AS(a,b,p1##q1,p1##q2,p1##q3),\
00178   GAN_REP3_AS(a,b,p2##q1,p2##q2,p2##q3))
00179 #define GAN_REP23_A(a,p1,p2,q1,q2,q3)\
00180  (GAN_REP3_A(a,p1##q1,p1##q2,p1##q3),\
00181   GAN_REP3_A(a,p2##q1,p2##q2,p2##q3))
00182 
00183 /* macros specific to xx, xy etc coordinates */
00184 #define GAN_REP23_AS_C(a,b) GAN_REP23_AS(a,b,x,y,x,y,z)
00185 #define GAN_REP23_AAS_C(a,b,c) GAN_REP23_AAS(a,b,c,x,y,x,y,z)
00186 #define GAN_REP23_AAAS_C(a,b,c,d) GAN_REP23_AAAS(a,b,c,d,x,y,x,y,z)
00187 #define GAN_REP23_A_C(a) GAN_REP23_A(a,x,y,x,y,z)
00188 #define GAN_REP23_AA_C(a,b) GAN_REP23_AA(a,b,x,y,x,y,z)
00189 #define GAN_REP23_AAA_C(a,b,c) GAN_REP23_AAA(a,b,c,x,y,x,y,z)
00190 
00191 #ifdef __cplusplus
00192 }
00193 #endif
00194 
00195 #endif /* #ifndef _GAN_REPEAT23_H */
00196 #include <gandalf/linalg/2vector.h>
00197 #include <gandalf/linalg/3vector.h>
00198 #include <gandalf/linalg/2x2matrix.h>
00199 #include <gandalf/linalg/3x3matrix.h>
00213 /* This library is free software; you can redistribute it and/or
00214    modify it under the terms of the GNU Lesser General Public
00215    License as published by the Free Software Foundation; either
00216    version 2.1 of the License, or (at your option) any later version.
00217 
00218    This library is distributed in the hope that it will be useful,
00219    but WITHOUT ANY WARRANTY; without even the implied warranty of
00220    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00221    Lesser General Public License for more details.
00222 
00223    You should have received a copy of the GNU Lesser General Public
00224    License along with this library; if not, write to the Free Software
00225    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00226 */
00227 
00228 #endif /* #ifndef _GAN_MATVECF_MACROS_H */
00229 #include <gandalf/linalg/mat_gen.h>
00230 
00231 #ifdef __cplusplus
00232 extern "C" {
00233 #endif
00234 
00250 
00251 typedef struct Gan_Matrix23
00252 {
00253    double xx, xy, xz,
00254           yx, yy, yz;
00255 } Gan_Matrix23;
00256 
00257 /* generic matrix multiply operations */
00258 #define GAN_MAT23_MULT1D(a,b,c,p1,p2,q1,q2,q3)\
00259  (a p1 = GAN_REP3_OP_AB(b,* c,xx,xy,xz,q1,q2,q3,+),\
00260   a p2 = GAN_REP3_OP_AB(b,* c,yx,yy,yz,q1,q2,q3,+))
00261 #define GAN_MAT23T_MULT1D(a,b,c,p1,p2,p3,q1,q2)\
00262  (a p1 = GAN_REP2_OP_AB(b,* c,xx,yx,q1,q2,+),\
00263   a p2 = GAN_REP2_OP_AB(b,* c,xy,yy,q1,q2,+),\
00264   a p3 = GAN_REP2_OP_AB(b,* c,xz,yz,q1,q2,+))
00265 
00266 /* declare functions specific to 2x3 matrices */
00280 /* This library is free software; you can redistribute it and/or
00281    modify it under the terms of the GNU Lesser General Public
00282    License as published by the Free Software Foundation; either
00283    version 2.1 of the License, or (at your option) any later version.
00284 
00285    This library is distributed in the hope that it will be useful,
00286    but WITHOUT ANY WARRANTY; without even the implied warranty of
00287    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00288    Lesser General Public License for more details.
00289 
00290    You should have received a copy of the GNU Lesser General Public
00291    License along with this library; if not, write to the Free Software
00292    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00293 */
00294 
00295 #ifndef _GAN_2X3MAT_H
00296 
00313  Gan_Matrix23 *gan_mat23_fill_q ( Gan_Matrix23 *A,
00314                                  double XX, double XY, double XZ,
00315                                  double YX, double YY, double YZ );
00316 
00337  Gan_Matrix22 *gan_mat23_rmultm23T_q ( const Gan_Matrix23 *A, const Gan_Matrix23 *B,
00338                                       Gan_Matrix22 *C );
00339 
00361  Gan_Vector2 *gan_mat23_multv2h_q ( const Gan_Matrix23 *A, const Gan_Vector2 *p, double h,
00362                                    Gan_Vector2 *q );
00363 
00384  void gan_mat23_get_rows_q ( const Gan_Matrix23 *A, Gan_Vector3 *p, Gan_Vector3 *q );
00385 
00397  void gan_mat23_get_cols_q ( const Gan_Matrix23 *A,
00398                             Gan_Vector2 *p, Gan_Vector2 *q, Gan_Vector2 *r );
00399 
00407  Gan_Matrix22 *gan_mat23_get_m22l_q ( const Gan_Matrix23 *A, Gan_Matrix22 *B );
00408 
00416  Gan_Vector2 *gan_mat23_get_v2r_q ( const Gan_Matrix23 *A, Gan_Vector2 *p );
00417 
00439  Gan_Matrix23 *gan_mat23_set_parts_q ( Gan_Matrix23 *A,
00440                                       const Gan_Matrix22 *B, const Gan_Vector2 *p );
00441 
00447 #endif /* #ifndef _GAN_2X3MAT_H */
00448 
00449 #define GAN_MATTYPE Gan_Matrix23
00450 #define GAN_MATRIX_TYPE Gan_Matrix
00451 #define GAN_SQUMATRIX_TYPE Gan_SquMatrix
00452 #define GAN_VECTOR_TYPE Gan_Vector
00453 #define GAN_MAT_ELEMENT_TYPE GAN_DOUBLE
00454 #define GAN_REALTYPE double
00455 #define GAN_FWRITE_LENDIAN gan_fwrite_lendian_f64
00456 #define GAN_FREAD_LENDIAN  gan_fread_lendian_f64
00457 #define GAN_VECTYPE1 Gan_Vector2
00458 #define GAN_VECTYPE2 Gan_Vector3
00459 #define GAN_MATTYPEL Gan_Matrix22
00460 #define GAN_MATTYPER Gan_Matrix33
00461 #define GAN_SQUMATTYPEL Gan_SquMatrix22
00462 #define GAN_SQUMATTYPER Gan_SquMatrix33
00463 #define GAN_MAT_FPRINT                     gan_mat23_fprint
00464 #define GAN_MAT_PRINT                      gan_mat23_print
00465 #define GAN_MAT_FSCANF                     gan_mat23_fscanf
00466 #define GAN_MAT_FWRITE                     gan_mat23_fwrite
00467 #define GAN_MAT_FREAD                      gan_mat23_fread
00468 #define GAN_MAT_ZERO_Q                     gan_mat23_zero_q
00469 #define GAN_MAT_ZERO_S                     gan_mat23_zero_s
00470 #define GAN_MAT_COPY_Q                     gan_mat23_copy_q
00471 #define GAN_MAT_COPY_S                     gan_mat23_copy_s
00472 #define GAN_MAT_SCALE_Q                    gan_mat23_scale_q
00473 #define GAN_MAT_SCALE_I                    gan_mat23_scale_i
00474 #define GAN_MAT_SCALE_S                    gan_mat23_scale_s
00475 #define GAN_MAT_DIVIDE_Q                   gan_mat23_divide_q
00476 #define GAN_MAT_DIVIDE_I                   gan_mat23_divide_i
00477 #define GAN_MAT_DIVIDE_S                   gan_mat23_divide_s
00478 #define GAN_MAT_NEGATE_Q                   gan_mat23_negate_q
00479 #define GAN_MAT_NEGATE_I                   gan_mat23_negate_i
00480 #define GAN_MAT_NEGATE_S                   gan_mat23_negate_s
00481 #define GAN_MAT_UNIT_Q                     gan_mat23_unit_q
00482 #define GAN_MAT_UNIT_I                     gan_mat23_unit_i
00483 #define GAN_MAT_UNIT_S                     gan_mat23_unit_s
00484 #define GAN_MAT_ADD_Q                      gan_mat23_add_q
00485 #define GAN_MAT_ADD_I1                     gan_mat23_add_i1
00486 #define GAN_MAT_ADD_I2                     gan_mat23_add_i2
00487 #define GAN_MAT_INCREMENT                  gan_mat23_increment
00488 #define GAN_MAT_ADD_S                      gan_mat23_add_s
00489 #define GAN_MAT_SUB_Q                      gan_mat23_sub_q
00490 #define GAN_MAT_SUB_I1                     gan_mat23_sub_i1
00491 #define GAN_MAT_SUB_I2                     gan_mat23_sub_i2
00492 #define GAN_MAT_DECREMENT                  gan_mat23_decrement
00493 #define GAN_MAT_SUB_S                      gan_mat23_sub_s
00494 #define GAN_VEC_OUTER_Q                    gan_vec23_outer_q
00495 #define GAN_VEC_OUTER_S                    gan_vec23_outer_s
00496 #define GAN_MAT_MULTV_Q                    gan_mat23_multv3_q
00497 #define GAN_MAT_MULTV_S                    gan_mat23_multv3_s
00498 #define GAN_MATT_MULTV_Q                   gan_mat23T_multv2_q
00499 #define GAN_MATT_MULTV_S                   gan_mat23T_multv2_s
00500 #define GAN_MAT_LMULTM_Q                   gan_mat23_lmultm22_q
00501 #define GAN_MAT_LMULTM_S                   gan_mat23_lmultm22_s
00502 #define GAN_MAT_LMULTMT_Q                  gan_mat23_lmultm22T_q
00503 #define GAN_MAT_LMULTMT_S                  gan_mat23_lmultm22T_s
00504 #define GAN_MAT_RMULTM_Q                   gan_mat23_rmultm33_q
00505 #define GAN_MAT_RMULTM_S                   gan_mat23_rmultm33_s
00506 #define GAN_MAT_RMULTMT_Q                  gan_mat23_rmultm33T_q
00507 #define GAN_MAT_RMULTMT_S                  gan_mat23_rmultm33T_s
00508 #define GAN_MAT_LMULTMT_SYM_Q              gan_mat23_lmultm23T_sym_q
00509 #define GAN_MAT_LMULTMT_SYM_S              gan_mat23_lmultm23T_sym_s
00510 #define GAN_MAT_RMULTMT_SYM_Q              gan_mat23_rmultm23T_sym_q
00511 #define GAN_MAT_RMULTMT_SYM_S              gan_mat23_rmultm23T_sym_s
00512 #define GAN_MAT_SLMULTT_Q                  gan_mat23_slmultT_q
00513 #define GAN_MAT_SLMULTT_S                  gan_mat23_slmultT_s
00514 #define GAN_MAT_SRMULTT_Q                  gan_mat23_srmultT_q
00515 #define GAN_MAT_SRMULTT_S                  gan_mat23_srmultT_s
00516 #define GAN_MAT_LMULTS_Q                   gan_mat23_lmults22_q
00517 #define GAN_MAT_LMULTS_S                   gan_mat23_lmults22_s
00518 #define GAN_MAT_RMULTS_Q                   gan_mat23_rmults33_q
00519 #define GAN_MAT_RMULTS_S                   gan_mat23_rmults33_s
00520 #define GAN_SYMMATL_LRMULT_Q               gan_symmat22_lrmultm23T_q
00521 #define GAN_SYMMATL_LRMULT_S               gan_symmat22_lrmultm23T_s
00522 #define GAN_SYMMATR_LRMULT_Q               gan_symmat33_lrmultm23_q
00523 #define GAN_SYMMATR_LRMULT_S               gan_symmat33_lrmultm23_s
00524 #define GAN_MAT_LMULTL_Q                   gan_mat23_lmultl22_q
00525 #define GAN_MAT_LMULTL_S                   gan_mat23_lmultl22_s
00526 #define GAN_MAT_LMULTL_I                   gan_mat23_lmultl22_i
00527 #define GAN_MAT_LMULTLI_Q                  gan_mat23_lmultl22I_q
00528 #define GAN_MAT_LMULTLI_S                  gan_mat23_lmultl22I_s
00529 #define GAN_MAT_LMULTLI_I                  gan_mat23_lmultl22I_i
00530 #define GAN_MAT_LMULTLT_Q                  gan_mat23_lmultl22T_q
00531 #define GAN_MAT_LMULTLT_S                  gan_mat23_lmultl22T_s
00532 #define GAN_MAT_LMULTLT_I                  gan_mat23_lmultl22T_i
00533 #define GAN_MAT_LMULTLIT_Q                 gan_mat23_lmultl22IT_q
00534 #define GAN_MAT_LMULTLIT_S                 gan_mat23_lmultl22IT_s
00535 #define GAN_MAT_LMULTLIT_I                 gan_mat23_lmultl22IT_i
00536 #define GAN_MAT_RMULTL_Q                   gan_mat23_rmultl33_q
00537 #define GAN_MAT_RMULTL_S                   gan_mat23_rmultl33_s
00538 #define GAN_MAT_RMULTL_I                   gan_mat23_rmultl33_i
00539 #define GAN_MAT_RMULTLI_Q                  gan_mat23_rmultl33I_q
00540 #define GAN_MAT_RMULTLI_S                  gan_mat23_rmultl33I_s
00541 #define GAN_MAT_RMULTLI_I                  gan_mat23_rmultl33I_i
00542 #define GAN_MAT_RMULTLT_Q                  gan_mat23_rmultl33T_q
00543 #define GAN_MAT_RMULTLT_S                  gan_mat23_rmultl33T_s
00544 #define GAN_MAT_RMULTLT_I                  gan_mat23_rmultl33T_i
00545 #define GAN_MAT_RMULTLIT_Q                 gan_mat23_rmultl33IT_q
00546 #define GAN_MAT_RMULTLIT_S                 gan_mat23_rmultl33IT_s
00547 #define GAN_MAT_RMULTLIT_I                 gan_mat23_rmultl33IT_i
00548 #define GAN_MAT_SUMSQR_Q                   gan_mat23_sumsqr_q
00549 #define GAN_MAT_SUMSQR_S                   gan_mat23_sumsqr_s
00550 #define GAN_MAT_FNORM_Q                    gan_mat23_Fnorm_q
00551 #define GAN_MAT_FNORM_S                    gan_mat23_Fnorm_s
00552 #define GAN_MAT_FROM_MAT_Q                 gan_mat23_from_mat_q
00553 #define GAN_MAT_FROM_MAT_S                 gan_mat23_from_mat_s
00554 
00555 #ifndef _GAN_2X3MAT_H
00556 #define _GAN_2X3MAT_H
00557 
00558 
00559 #endif /* #ifndef _GAN_2X3MAT_H */
00560 
00573 /* This library is free software; you can redistribute it and/or
00574    modify it under the terms of the GNU Lesser General Public
00575    License as published by the Free Software Foundation; either
00576    version 2.1 of the License, or (at your option) any later version.
00577 
00578    This library is distributed in the hope that it will be useful,
00579    but WITHOUT ANY WARRANTY; without even the implied warranty of
00580    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00581    Lesser General Public License for more details.
00582 
00583    You should have received a copy of the GNU Lesser General Public
00584    License along with this library; if not, write to the Free Software
00585    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00586 */
00587 
00588 /* function declarations for functions common to all small vector types */
00589 
00590 
00591 
00592 /* documentation for macros defined in individual header files */
00593 
00604  Gan_Matrix23 *gan_mat23_zero_q ( const Gan_Matrix23 *A );
00605 
00622  Gan_Matrix23 *gan_mat23_copy_q ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00623 
00641  Gan_Matrix23 *gan_mat23_scale_q ( Gan_Matrix23 *A, double a,
00642                                Gan_Matrix23 *B );
00643 
00651  Gan_Matrix23 *gan_mat23_scale_i ( Gan_Matrix23 *A, double a );
00652 
00661  Gan_Matrix23 *gan_mat23_divide_q ( Gan_Matrix23 *A, double a,
00662                                 Gan_Matrix23 *B );
00663 
00671  Gan_Matrix23 *gan_mat23_divide_i ( Gan_Matrix23 *A, double a );
00672 
00680  Gan_Matrix23 *gan_mat23_negate_q ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00681 
00689  Gan_Matrix23 *gan_mat23_negate_i ( Gan_Matrix23 *A );
00690 
00698  Gan_Matrix23 *gan_mat23_unit_i ( Gan_Matrix23 *A );
00699 
00717  Gan_Matrix23 *gan_mat23_add_q ( Gan_Matrix23 *A, Gan_Matrix23 *B, Gan_Matrix23 *C );
00718 
00727  Gan_Matrix23 *gan_mat23_add_i1 ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00728 
00737  Gan_Matrix23 *gan_mat23_add_i2 ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00738 
00747  Gan_Matrix23 *gan_mat23_increment ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00748 
00766  Gan_Matrix23 *gan_mat23_sub_q ( Gan_Matrix23 *A, Gan_Matrix23 *B, Gan_Matrix23 *C );
00767 
00776  Gan_Matrix23 *gan_mat23_sub_i1 ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00777 
00786  Gan_Matrix23 *gan_mat23_sub_i2 ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00787 
00796  Gan_Matrix23 *gan_mat23_decrement ( Gan_Matrix23 *A, Gan_Matrix23 *B );
00797 
00815  Gan_Matrix23 *gan_vec23_outer_q ( const Gan_Vector2 *p, const Gan_Vector3 *q,
00816                                Gan_Matrix23 *A );
00817 
00826  Gan_Vector2 *gan_mat23_multv3_q ( const Gan_Matrix23 *A, Gan_Vector3 *p,
00827                                 Gan_Vector2 *q );
00828 
00829 
00838  Gan_Vector3 *gan_mat23T_multv2_q ( const Gan_Matrix23 *A, Gan_Vector2 *p,
00839                                  Gan_Vector3 *q );
00840 
00841 
00860  Gan_Matrix23 *gan_mat23_lmultm22_q ( Gan_Matrix23 *A, const Gan_Matrix22 *B,
00861                                 Gan_Matrix23 *C );
00862 
00872  Gan_Matrix23 *gan_mat23_lmultm22T_q ( Gan_Matrix23 *A, const Gan_Matrix22 *B,
00873                                  Gan_Matrix23 *C );
00874 
00884  Gan_Matrix23 *gan_mat23_rmultm33_q ( Gan_Matrix23 *A, const Gan_Matrix33 *B,
00885                                 Gan_Matrix23 *C );
00886 
00896  Gan_Matrix23 *gan_mat23_rmultm33T_q ( Gan_Matrix23 *A, const Gan_Matrix33 *B,
00897                                  Gan_Matrix23 *C );
00898 
00910  Gan_SquMatrix33 *gan_mat23_lmultm23T_sym_q ( const Gan_Matrix23 *A, const Gan_Matrix23 *B,
00911                                          Gan_SquMatrix33 *C );
00912 
00924  Gan_SquMatrix22 *gan_mat23_rmultm23T_sym_q ( const Gan_Matrix23 *A, const Gan_Matrix23 *B,
00925                                          Gan_SquMatrix22 *C );
00926 
00935  Gan_Matrix23 *gan_mat23_lmults22_q ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B,
00936                                 Gan_Matrix23 *C );
00937 
00946  Gan_Matrix23 *gan_mat23_rmults33_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B,
00947                                 Gan_Matrix23 *C );
00948 
00968  Gan_SquMatrix33 *gan_symmat22_lrmultm23T_q ( const Gan_SquMatrix22 *A, const Gan_Matrix23 *B,
00969                                         const Gan_Matrix23 *C, Gan_SquMatrix33 *D );
00970 
00981  Gan_SquMatrix22 *gan_symmat33_lrmultm23_q ( const Gan_SquMatrix33 *A, const Gan_Matrix23 *B,
00982                                         const Gan_Matrix23 *C, Gan_SquMatrix22 *D );
00983 
01002  Gan_Matrix23 *gan_mat23_lmultl22_q ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B,
01003                                 Gan_Matrix23 *C );
01004 
01014  Gan_Matrix23 *gan_mat23_lmultl22I_q ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B,
01015                                  Gan_Matrix23 *C );
01016 
01026  Gan_Matrix23 *gan_mat23_lmultl22T_q ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B,
01027                                  Gan_Matrix23 *C );
01028 
01038  Gan_Matrix23 *gan_mat23_lmultl22IT_q ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B,
01039                                   Gan_Matrix23 *C );
01040 
01050  Gan_Matrix23 *gan_mat23_rmultl33_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B,
01051                                 Gan_Matrix23 *C );
01052 
01062  Gan_Matrix23 *gan_mat23_rmultl33I_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B,
01063                                  Gan_Matrix23 *C );
01064 
01074  Gan_Matrix23 *gan_mat23_rmultl33T_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B,
01075                                  Gan_Matrix23 *C );
01076 
01086  Gan_Matrix23 *gan_mat23_rmultl33IT_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B,
01087                                   Gan_Matrix23 *C );
01088 
01098  Gan_Matrix23 *gan_mat23_lmultl22_i ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B );
01099 
01109  Gan_Matrix23 *gan_mat23_lmultl22I_i ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B );
01110 
01120  Gan_Matrix23 *gan_mat23_lmultl22T_i ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B );
01121 
01131  Gan_Matrix23 *gan_mat23_lmultl22IT_i ( Gan_Matrix23 *A, const Gan_SquMatrix22 *B );
01132 
01142  Gan_Matrix23 *gan_mat23_rmultl33_i ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B );
01143 
01153  Gan_Matrix23 *gan_mat23_rmultl33I_i ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B );
01154 
01164  Gan_Matrix23 *gan_mat23_rmultl33T_i ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B );
01165 
01175  Gan_Matrix23 *gan_mat23_rmultl33IT_i ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B );
01176 
01185  Gan_SquMatrix33 *gan_mat23_slmultT_q ( Gan_Matrix23 *A, const Gan_SquMatrix33 *B );
01186 
01187 
01196  Gan_SquMatrix22 *gan_mat23_srmultT_q ( const Gan_Matrix23 *A, Gan_SquMatrix22 *B );
01197 
01198 
01213  double gan_mat23_sumsqr_q ( const Gan_Matrix23 *A );
01214 
01221  double gan_mat23_Fnorm_q ( const Gan_Matrix23 *A );
01222 
01232  Gan_Matrix23 *gan_mat23_from_mat_q ( const Gan_Matrix *A, Gan_Matrix23 *B );
01233 
01234 
01235 
01254 /* This library is free software; you can redistribute it and/or
01255    modify it under the terms of the GNU Lesser General Public
01256    License as published by the Free Software Foundation; either
01257    version 2.1 of the License, or (at your option) any later version.
01258 
01259    This library is distributed in the hope that it will be useful,
01260    but WITHOUT ANY WARRANTY; without even the implied warranty of
01261    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
01262    Lesser General Public License for more details.
01263 
01264    You should have received a copy of the GNU Lesser General Public
01265    License along with this library; if not, write to the Free Software
01266    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
01267 */
01268 
01269 #undef GAN_MATTYPE
01270 #undef GAN_MATRIX_TYPE
01271 #undef GAN_SQUMATRIX_TYPE
01272 #undef GAN_VECTOR_TYPE
01273 #undef GAN_MAT_ELEMENT_TYPE
01274 #undef GAN_REALTYPE
01275 #undef GAN_FWRITE_LENDIAN
01276 #undef GAN_FREAD_LENDIAN
01277 #undef GAN_VECTYPE1
01278 #undef GAN_VECTYPE2
01279 #undef GAN_MATTYPEL
01280 #undef GAN_MATTYPER
01281 #undef GAN_SQUMATTYPEL
01282 #undef GAN_SQUMATTYPER
01283 #undef GAN_FIXED_MATRIX_TYPE
01284 #undef GAN_MAT_FPRINT
01285 #undef GAN_MAT_PRINT
01286 #undef GAN_MAT_FSCANF
01287 #undef GAN_MAT_FWRITE
01288 #undef GAN_MAT_FREAD
01289 #undef GAN_MAT_ZERO_Q
01290 #undef GAN_MAT_ZERO_S
01291 #undef GAN_MAT_COPY_Q
01292 #undef GAN_MAT_COPY_S
01293 #undef GAN_MAT_SCALE_Q
01294 #undef GAN_MAT_SCALE_S
01295 #undef GAN_MAT_SCALE_I
01296 #undef GAN_MAT_DIVIDE_Q
01297 #undef GAN_MAT_DIVIDE_S
01298 #undef GAN_MAT_DIVIDE_I
01299 #undef GAN_MAT_NEGATE_Q
01300 #undef GAN_MAT_NEGATE_S
01301 #undef GAN_MAT_NEGATE_I
01302 #undef GAN_MAT_UNIT_Q
01303 #undef GAN_MAT_UNIT_S
01304 #undef GAN_MAT_UNIT_I
01305 #undef GAN_MAT_ADD_Q
01306 #undef GAN_MAT_ADD_I1
01307 #undef GAN_MAT_ADD_I2
01308 #undef GAN_MAT_INCREMENT
01309 #undef GAN_MAT_ADD_S
01310 #undef GAN_MAT_SUB_Q
01311 #undef GAN_MAT_SUB_I1
01312 #undef GAN_MAT_SUB_I2
01313 #undef GAN_MAT_DECREMENT
01314 #undef GAN_MAT_SUB_S
01315 #undef GAN_VEC_OUTER_Q
01316 #undef GAN_VEC_OUTER_S
01317 #undef GAN_MAT_MULTV_Q
01318 #undef GAN_MAT_MULTV_S
01319 #undef GAN_MAT_MULTV_I
01320 #undef GAN_MATT_MULTV_Q
01321 #undef GAN_MATT_MULTV_S
01322 #undef GAN_MATT_MULTV_I
01323 #undef GAN_MAT_LMULTM_Q
01324 #undef GAN_MAT_LMULTM_S
01325 #undef GAN_MAT_LMULTMT_Q
01326 #undef GAN_MAT_LMULTMT_S
01327 #undef GAN_MAT_RMULTM_Q
01328 #undef GAN_MAT_RMULTM_S
01329 #undef GAN_MAT_RMULTMT_Q
01330 #undef GAN_MAT_RMULTMT_S
01331 #undef GAN_MAT_LMULTMT_SYM_Q
01332 #undef GAN_MAT_LMULTMT_SYM_S
01333 #undef GAN_MAT_RMULTMT_SYM_Q
01334 #undef GAN_MAT_RMULTMT_SYM_S
01335 #undef GAN_MAT_LMULTS_Q
01336 #undef GAN_MAT_LMULTS_S
01337 #undef GAN_MAT_RMULTS_Q
01338 #undef GAN_MAT_RMULTS_S
01339 #undef GAN_SYMMATL_LRMULT_Q
01340 #undef GAN_SYMMATL_LRMULT_S
01341 #undef GAN_SYMMATR_LRMULT_Q
01342 #undef GAN_SYMMATR_LRMULT_S
01343 #undef GAN_MAT_LMULTL_Q
01344 #undef GAN_MAT_LMULTL_S
01345 #undef GAN_MAT_LMULTL_I
01346 #undef GAN_MAT_LMULTLI_Q
01347 #undef GAN_MAT_LMULTLI_S
01348 #undef GAN_MAT_LMULTLI_I
01349 #undef GAN_MAT_LMULTLT_Q
01350 #undef GAN_MAT_LMULTLT_S
01351 #undef GAN_MAT_LMULTLT_I
01352 #undef GAN_MAT_LMULTLIT_Q
01353 #undef GAN_MAT_LMULTLIT_S
01354 #undef GAN_MAT_LMULTLIT_I
01355 #undef GAN_MAT_RMULTL_Q
01356 #undef GAN_MAT_RMULTL_S
01357 #undef GAN_MAT_RMULTL_I
01358 #undef GAN_MAT_RMULTLI_Q
01359 #undef GAN_MAT_RMULTLI_S
01360 #undef GAN_MAT_RMULTLI_I
01361 #undef GAN_MAT_RMULTLT_Q
01362 #undef GAN_MAT_RMULTLT_S
01363 #undef GAN_MAT_RMULTLT_I
01364 #undef GAN_MAT_RMULTLIT_Q
01365 #undef GAN_MAT_RMULTLIT_S
01366 #undef GAN_MAT_RMULTLIT_I
01367 #undef GAN_MAT_SRMULTT_Q
01368 #undef GAN_MAT_SRMULTT_S
01369 #undef GAN_MAT_SRMULTT_I
01370 #undef GAN_MAT_SLMULTT_Q
01371 #undef GAN_MAT_SLMULTT_S
01372 #undef GAN_MAT_SLMULTT_I
01373 #undef GAN_MAT_RMULTLIT_S
01374 #undef GAN_MAT_SUMSQR_Q
01375 #undef GAN_MAT_SUMSQR_S
01376 #undef GAN_MAT_FNORM_Q
01377 #undef GAN_MAT_FNORM_S
01378 #undef GAN_MAT_FROM_MAT_Q
01379 #undef GAN_MAT_FROM_MAT_S
01380 #undef GAN_MAT_FROM_SQUMAT_Q
01381 #undef GAN_MAT_FROM_SQUMAT_S
01382 #undef GAN_SQUMAT_FROM_SQUMAT_Q
01383 #undef GAN_SQUMAT_FROM_SQUMAT_S
01384 
01397 #ifdef __cplusplus
01398 }
01399 #endif
01400 
01401 #endif /* #ifndef _GAN_2X3MATRIX_H */