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2x2matrixf.h

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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_2X2MATRIXF_H
00030 #define _GAN_2X2MATRIXF_H
00031 
00032 #include <stdlib.h>
00033 #include <math.h>
00034 #include <stdio.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_REPEAT22_H
00065 #define _GAN_REPEAT22_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_REPEAT1_H
00096 #define _GAN_REPEAT1_H
00097 
00098 #ifdef __cplusplus
00099 extern "C" {
00100 #endif
00101 
00102 /* macros for constructing one-fold repetitions (for consistency) */
00103 #define GAN_REP1_AS(a,b,p1) (a p1 b)
00104 #define GAN_REP1_A(a,p1) (a p1)
00105 #define GAN_REP1_A_C(a,b) GAN_REP1_A(a,b,x)
00106 
00107 #define GAN_FREP1_A(a,b,p1,q1) (a p1 b q1)
00108 #define GAN_FREP1_A_C(a,b,p1) GAN_FREP1_A(a,b,x,p1)
00109 
00110 #define GAN_REP1_ABS(a,b,c,p1,q1) (a p1 b q1 c)
00111 #define GAN_REP1_AAS(a,b,c,p1) GAN_REP1_ABS(a,b,c,p1,p1)
00112 #define GAN_REP1_AAS_C(a,b,c) GAN_REP1_AAS(a,b,c,x)
00113 
00114 #define GAN_REP1_AB(a,b,p1,q1) (a p1 b q1)
00115 #define GAN_REP1_AA(a,b,p1) GAN_REP1_AB(a,b,p1,p1)
00116 #define GAN_REP1_AA_C(a,b) GAN_REP1_AA(a,b,x)
00117 
00118 #define GAN_REP1_ABCS(a,b,c,d,p1,q1,r1) (a p1 b q1 c r1 d)
00119 #define GAN_REP1_ABC(a,b,c,p1,q1,r1) (a p1 b q1 c r1)
00120 #define GAN_REP1_AAA(a,b,c,p1) GAN_REP1_ABC(a,b,c,p1,p1,p1)
00121 #define GAN_REP1_AAA_C(a,b,c) GAN_REP1_AAA(a,b,c,x)
00122 
00123 #define GAN_REP1_OP_AB(a,b,p1,q1,op) (a p1 b q1)
00124 #define GAN_REP1_OP_AA(a,b,p1,op) GAN_REP1_OP_AB(a,b,p1,p1,op)
00125 #define GAN_REP1_OP_AA_C(a,b,op) GAN_REP1_OP_AA(a,b,x,op)
00126 
00127 #ifdef __cplusplus
00128 }
00129 #endif
00130 
00131 #endif /* #ifndef _GAN_REPEAT1_H */
00132 
00145 /* This library is free software; you can redistribute it and/or
00146    modify it under the terms of the GNU Lesser General Public
00147    License as published by the Free Software Foundation; either
00148    version 2.1 of the License, or (at your option) any later version.
00149 
00150    This library is distributed in the hope that it will be useful,
00151    but WITHOUT ANY WARRANTY; without even the implied warranty of
00152    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00153    Lesser General Public License for more details.
00154 
00155    You should have received a copy of the GNU Lesser General Public
00156    License along with this library; if not, write to the Free Software
00157    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00158 */
00159 
00160 #ifndef _GAN_REPEAT2_H
00161 #define _GAN_REPEAT2_H
00162 
00163 #ifdef __cplusplus
00164 extern "C" {
00165 #endif
00166 
00167 /* macros for constructing two-fold repetitions */
00168 #define GAN_REP2_AS(a,b,p1,p2) (a p1 b, a p2 b)
00169 #define GAN_REP2_A(a,p1,p2) (a p1, a p2)
00170 #define GAN_REP2_AS_C(a,b) GAN_REP2_AS(a,b,x,y)
00171 #define GAN_REP2_A_C(a) GAN_REP2_A(a,x,y)
00172 
00173 #define GAN_FREP2_A(a,b,p1,p2,q1,q2) (a p1 b q1, a p2 b q2)
00174 #define GAN_FREP2_A_C(a,b,p1,p2) GAN_FREP2_A(a,b,x,y,p1,p2)
00175 
00176 #define GAN_REP2_AB(a,b,p1,p2,q1,q2) (a p1 b q1, a p2 b q2)
00177 #define GAN_REP2_AA(a,b,p1,p2) GAN_REP2_AB(a,b,p1,p2,p1,p2)
00178 #define GAN_REP2_AA_C(a,b) GAN_REP2_AA(a,b,x,y)
00179 
00180 #define GAN_REP2_ABS(a,b,c,p1,p2,q1,q2) (a p1 b q1 c, a p2 b q2 c)
00181 #define GAN_REP2_AAS(a,b,c,p1,p2) GAN_REP2_ABS(a,b,c,p1,p2,p1,p2)
00182 #define GAN_REP2_AAS_C(a,b,c) GAN_REP2_AAS(a,b,c,x,y)
00183 
00184 #define GAN_REP2_AB(a,b,p1,p2,q1,q2) (a p1 b q1, a p2 b q2)
00185 #define GAN_REP2_AA(a,b,p1,p2) GAN_REP2_AB(a,b,p1,p2,p1,p2)
00186 #define GAN_REP2_AA_C(a,b) GAN_REP2_AA(a,b,x,y)
00187 
00188 #define GAN_REP2_ABCS(a,b,c,d,p1,p2,q1,q2,r1,r2)\
00189            (a p1 b q1 c r1 d, a p2 b q2 c r2 d)
00190 #define GAN_REP2_ABC(a,b,c,p1,p2,q1,q2,r1,r2)\
00191            (a p1 b q1 c r1, a p2 b q2 c r2)
00192 #define GAN_REP2_AAA(a,b,c,p1,p2) GAN_REP2_ABC(a,b,c,p1,p2,p1,p2,p1,p2)
00193 #define GAN_REP2_AAA_C(a,b,c) GAN_REP2_AAA(a,b,c,x,y)
00194 
00195 #define GAN_REP2_OP_AB(a,b,p1,p2,q1,q2,op)\
00196            (a p1 b q1 op a p2 b q2)
00197 #define GAN_REP2_OP_AA(a,b,p1,p2,op) GAN_REP2_OP_AB(a,b,p1,p2,p1,p2,op)
00198 #define GAN_REP2_OP_AA_C(a,b,op) GAN_REP2_OP_AA(a,b,x,y,op)
00199 
00200 #ifdef __cplusplus
00201 }
00202 #endif
00203 
00204 #endif /* #ifndef _GAN_REPEAT2_H */
00205 
00206 #ifdef __cplusplus
00207 extern "C" {
00208 #endif
00209 
00210 /* macros for constructing dual two-fold repetitions */
00211 
00212 #define GAN_FREP22_A(a,b,p1,p2,q1,q2,r11,r12,r21,r22)\
00213            (GAN_FREP2_A(a,b,p1##q1,p1##q2,r11,r12),\
00214             GAN_FREP2_A(a,b,p2##q1,p2##q2,r21,r22))
00215 #define GAN_FREP22_A_C(a,b,r11,r12,r21,r22) \
00216            GAN_FREP22_A(a,b,x,y,x,y,r11,r12,r21,r22)
00217 
00218 /* most general macros */
00219 #define GAN_REP22_ABCS(a,b,c,d,p1,p2,q1,q2,r1,r2,s1,s2,t1,t2,u1,u2)\
00220  (GAN_REP2_ABCS(a,b,c,d,p1##q1,p1##q2,r1##s1,r1##s2,t1##u1,t1##u2),\
00221   GAN_REP2_ABCS(a,b,c,d,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2))
00222 #define GAN_REP22_ABC(a,b,c,p1,p2,q1,q2,r1,r2,s1,s2,t1,t2,u1,u2)\
00223  (GAN_REP2_ABC(a,b,c,p1##q1,p1##q2,r1##s1,r1##s2,t1##u1,t1##u2),\
00224   GAN_REP2_ABC(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2))
00225 
00226 #define GAN_REP22_AAAS(a,b,c,d,p1,p2,q1,q2)\
00227            GAN_REP22_ABCS(a,b,c,d,p1,p2,q1,q2,p1,p2,q1,q2,p1,p2,q1,q2)
00228 #define GAN_REP22_AAA(a,b,c,p1,p2,q1,q2)\
00229            GAN_REP22_ABC(a,b,c,p1,p2,q1,q2,p1,p2,q1,q2,p1,p2,q1,q2)
00230 
00231 #define GAN_REP22_ABS(a,b,c,p1,p2,q1,q2,r1,r2,s1,s2)\
00232  (GAN_REP2_ABS(a,b,c,p1##q1,p1##q2,r1##s1,r1##s2),\
00233   GAN_REP2_ABS(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2))
00234 #define GAN_REP22_AB(a,b,p1,p2,q1,q2,r1,r2,s1,s2)\
00235  (GAN_REP2_AB(a,b,p1##q1,p1##q2,r1##s1,r1##s2),\
00236   GAN_REP2_AB(a,b,p2##q1,p2##q2,r2##s1,r2##s2))
00237 
00238 #define GAN_REP22_AAS(a,b,c,p1,p2,q1,q2)\
00239             GAN_REP22_ABS(a,b,c,p1,p2,q1,q2,p1,p2,q1,q2)
00240 #define GAN_REP22_AA(a,b,p1,p2,q1,q2)\
00241             GAN_REP22_AB(a,b,p1,p2,q1,q2,p1,p2,q1,q2)
00242 
00243 #define GAN_REP22_AS(a,b,p1,p2,q1,q2)\
00244  (GAN_REP2_AS(a,b,p1##q1,p1##q2), GAN_REP2_AS(a,b,p2##q1,p2##q2))
00245 #define GAN_REP22_A(a,p1,p2,q1,q2)\
00246  (GAN_REP2_A(a,p1##q1,p1##q2), GAN_REP2_A(a,p2##q1,p2##q2))
00247 
00248 /* macros specific to xx, xy etc coordinates */
00249 #define GAN_REP22_AS_C(a,b) GAN_REP22_AS(a,b,x,y,x,y)
00250 #define GAN_REP22_AAS_C(a,b,c) GAN_REP22_AAS(a,b,c,x,y,x,y)
00251 #define GAN_REP22_AAAS_C(a,b,c,d) GAN_REP22_AAAS(a,b,c,d,x,y,x,y)
00252 #define GAN_REP22_A_C(a) GAN_REP22_A(a,x,y,x,y)
00253 #define GAN_REP22_AA_C(a,b) GAN_REP22_AA(a,b,x,y,x,y)
00254 #define GAN_REP22_AAA_C(a,b,c) GAN_REP22_AAA(a,b,c,x,y,x,y)
00255 
00256 /* macro for transpose operation */
00257 #define GAN_REP22_AAT(a,b,p1,p2,q1,q2)\
00258  (GAN_REP2_AB(a,b,p1##q1,p1##q2,p1##q1,p2##q1),\
00259   GAN_REP2_AB(a,b,p2##q1,p2##q2,p1##q2,p2##q2))
00260 #define GAN_REP22_AAT_C(a,b) GAN_REP22_AAT(a,b,x,y,x,y)
00261 
00262 /* macros for operations on lower triangle of matrices only */
00263 #define GAN_FREP22L_A(a,b,p1,p2,q1,q2,r11,r21,r22)\
00264  (GAN_FREP1_A(a,b,p1##q1,r11),\
00265   GAN_FREP2_A(a,b,p2##q1,p2##q2,r21,r22))
00266 #define GAN_FREP22L_A_C(a,b,r11,r21,r22) \
00267            GAN_FREP22L_A(a,b,x,y,x,y,r11,r21,r22)
00268 
00269 #define GAN_REP22L_ABCS(a,b,c,d,p1,p2,q1,q2,r1,r2,s1,s2,t1,t2,u1,u2)\
00270  (GAN_REP1_ABCS(a,b,c,d,p1##q1,r1##s1,t1##u1),\
00271   GAN_REP2_ABCS(a,b,c,d,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2))
00272 #define GAN_REP22L_ABC(a,b,c,p1,p2,q1,q2,r1,r2,s1,s2,t1,t2,u1,u2)\
00273  (GAN_REP1_ABC(a,b,c,p1##q1,r1##s1,t1##u1),\
00274   GAN_REP2_ABC(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2,t2##u1,t2##u2))
00275 #define GAN_REP22L_AAAS(a,b,c,d,p1,p2,q1,q2)\
00276            GAN_REP22L_ABCS(a,b,c,d,p1,p2,q1,q2,p1,p2,q1,q2,p1,p2,q1,q2)
00277 #define GAN_REP22L_AAA(a,b,c,p1,p2,q1,q2)\
00278            GAN_REP22L_ABC(a,b,c,p1,p2,q1,q2,p1,p2,q1,q2,p1,p2,q1,q2)
00279 #define GAN_REP22L_ABS(a,b,c,p1,p2,q1,q2,r1,r2,s1,s2)\
00280  (GAN_REP1_ABS(a,b,c,p1##q1,r1##s1),\
00281   GAN_REP2_ABS(a,b,c,p2##q1,p2##q2,r2##s1,r2##s2))
00282 #define GAN_REP22L_AB(a,b,p1,p2,q1,q2,r1,r2,s1,s2)\
00283  (GAN_REP1_AB(a,b,p1##q1,r1##s1),\
00284   GAN_REP2_AB(a,b,p2##q1,p2##q2,r2##s1,r2##s2))
00285 #define GAN_REP22L_AAS(a,b,c,p1,p2,q1,q2)\
00286            GAN_REP22L_ABS(a,b,c,p1,p2,q1,q2,p1,p2,q1,q2)
00287 #define GAN_REP22L_AA(a,b,p1,p2,q1,q2)\
00288            GAN_REP22L_AB(a,b,p1,p2,q1,q2,p1,p2,q1,q2)
00289 #define GAN_REP22L_AS(a,b,p1,p2,q1,q2)\
00290  (GAN_REP1_AS(a,b,p1##q1),\
00291   GAN_REP2_AS(a,b,p2##q1,p2##q2))
00292 #define GAN_REP22L_A(a,p1,p2,q1,q2)\
00293  (GAN_REP1_A(a,p1##q1),\
00294   GAN_REP2_A(a,p2##q1,p2##q2))
00295 #define GAN_REP22L_AS_C(a,b) GAN_REP22L_AS(a,b,x,y,x,y)
00296 #define GAN_REP22L_AAS_C(a,b,c) GAN_REP22L_AAS(a,b,c,x,y,x,y)
00297 #define GAN_REP22L_AAAS_C(a,b,c,d) GAN_REP22L_AAAS(a,b,c,d,x,y,x,y)
00298 #define GAN_REP22L_A_C(a) GAN_REP22L_A(a,x,y,x,y)
00299 #define GAN_REP22L_AA_C(a,b) GAN_REP22L_AA(a,b,x,y,x,y)
00300 #define GAN_REP22L_AAA_C(a,b,c) GAN_REP22L_AAA(a,b,c,x,y,x,y)
00301 #define GAN_FREP22L_A_C(a,b,r11,r21,r22)\
00302            GAN_FREP22L_A(a,b,x,y,x,y,r11,r21,r22)
00303 
00304 #ifdef __cplusplus
00305 }
00306 #endif
00307 
00308 #endif /* #ifndef _GAN_REPEAT22_H */
00309 #include <gandalf/linalg/2vectorf.h>
00323 /* This library is free software; you can redistribute it and/or
00324    modify it under the terms of the GNU Lesser General Public
00325    License as published by the Free Software Foundation; either
00326    version 2.1 of the License, or (at your option) any later version.
00327 
00328    This library is distributed in the hope that it will be useful,
00329    but WITHOUT ANY WARRANTY; without even the implied warranty of
00330    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00331    Lesser General Public License for more details.
00332 
00333    You should have received a copy of the GNU Lesser General Public
00334    License along with this library; if not, write to the Free Software
00335    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00336 */
00337 
00338 #endif /* #ifndef _GAN_MATVECF_MACROS_H */
00339 #include <gandalf/linalg/matf_gen.h>
00340 #include <gandalf/linalg/matf_square.h>
00341 
00342 #ifdef __cplusplus
00343 extern "C" {
00344 #endif
00345 
00356 
00357 typedef struct Gan_Matrix22_f
00358 {
00359    float xx, xy,
00360          yx, yy;
00361 } Gan_Matrix22_f;
00362 
00363 #ifndef NDEBUG
00364 
00365 typedef enum { GAN_SYMMETRIC_MATRIX22_F, GAN_LOWER_TRI_MATRIX22_F }
00366  Gan_SquMatrix22Type_f;
00367 #endif /* #ifndef NDEBUG */
00368 
00370 typedef struct Gan_SquMatrix22_f
00371 {
00372 #ifndef NDEBUG
00373    /* square matrix type, for setting and checking in debug mode */
00374    Gan_SquMatrix22Type_f type;
00375 #endif /* #ifndef NDEBUG */
00376 
00377    /* matrix data */
00378    float xx,
00379          yx, yy;
00380 } Gan_SquMatrix22_f;
00381 
00382 /* matrix definitions specific to 2x2 matrices */
00383 #define GAN_ST22F_FILL(A,t,XX,YX,YY)\
00384            (GAN_TEST_OP1(A,Gan_SquMatrix22_f),gan_eval((A)->type=t),\
00385             GAN_FREP22L_A_C((A)->,=,(XX),(YX),(YY)))
00386 #define GAN_ST22F_IDENT(A,t)\
00387            (GAN_TEST_OP1(A,Gan_SquMatrix22_f),gan_eval((A)->type=t),\
00388             GAN_FREP22L_A_C((A)->,=,1.0,0.0,1.0))
00389 
00390 /* generic matrix multiply operations */
00391 #define GAN_MAT22F_MULT1D(a,b,c,p1,p2,q1,q2)\
00392  (a p1 = GAN_REP2_OP_AB(b,* c,xx,xy,q1,q2,+),\
00393   a p2 = GAN_REP2_OP_AB(b,* c,yx,yy,q1,q2,+))
00394 #define GAN_MAT22TF_MULT1D(a,b,c,p1,p2,q1,q2)\
00395  (a p1 = GAN_REP2_OP_AB(b,* c,xx,yx,q1,q2,+),\
00396   a p2 = GAN_REP2_OP_AB(b,* c,xy,yy,q1,q2,+))
00397 
00398 /* symmetric matrix multiply operation */
00399 #define GAN_SYM22F_MULT1D(a,b,c,p1,p2,q1,q2)\
00400  (a p1 = GAN_REP2_OP_AB(b,* c,xx,yx,q1,q2,+),\
00401   a p2 = GAN_REP2_OP_AB(b,* c,yx,yy,q1,q2,+))
00402 
00403 /* lower triangular matrix multiply operations */
00404 #define GAN_LOW22F_MULT1D(a,b,c,p1,p2,q1,q2)\
00405  (a p2 = GAN_REP2_OP_AB(b,* c,yx,yy,q1,q2,+),\
00406   a p1 = GAN_REP1_OP_AB(b,* c,xx,q1,+))
00407 #define GAN_LOW22IF_MULT1D(a,b,c,p1,p2,q1,q2)\
00408  (a p1 =  c q1 / b xx,\
00409   a p2 = (c q2 - b yx * a p1) / b yy)
00410 
00411 /* upper triangular matrix multiply operations */
00412 #define GAN_UPP22F_MULT1D(a,b,c,p1,p2,q1,q2)\
00413  (a p1 = GAN_REP2_OP_AB(b,* c,xx,yx,q1,q2,+),\
00414   a p2 = GAN_REP1_OP_AB(b,* c,yy,q2,+))
00415 #define GAN_UPP22IF_MULT1D(a,b,c,p1,p2,q1,q2)\
00416  (a p2 =  c q2 / b yy,\
00417   a p1 = (c q1 - b yx * a p2) / b xx)
00418 
00419 /* symmetric/lower triangular square matrix definitions */
00420 #define GAN_ST22F_ZERO(A,t)\
00421            (GAN_TEST_OP1(A,Gan_SquMatrix22_f), gan_eval((A)->type=t),\
00422             GAN_REP22L_AS_C((A)->,=0.0))
00423 #define GAN_ST22F_COPY(A,B,t)\
00424            (GAN_TEST_OP2(A,B,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00425             assert((A)->type==t), gan_eval((B)->type=(A)->type),\
00426             GAN_REP22L_AA_C((B)->,=(A)->))
00427 #define GAN_ST22F_SCALE(A,a,B,t)\
00428            (GAN_TEST_OP2(A,B,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00429             assert((A)->type==t), gan_eval((B)->type=(A)->type),\
00430             GAN_REP22L_AAS_C((B)->,=(A)->,*(a)))
00431 #define GAN_ST22F_DIVIDE(A,a,B,t)\
00432            (GAN_TEST_OP2(A,B,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00433             assert((A)->type==t), gan_eval((B)->type=(A)->type),\
00434             GAN_REP22L_AAS_C((B)->,=(A)->,/(a)))
00435 #define GAN_ST22F_NEGATE(A,B,t)\
00436            (GAN_TEST_OP2(A,B,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00437             assert((A)->type==t), gan_eval((B)->type=(A)->type),\
00438             GAN_REP22L_AA_C((B)->,=-(A)->))
00439 #define GAN_ST22F_ADD(A,B,C,t)\
00440          (GAN_TEST_OP3(A,B,C,Gan_SquMatrix22_f,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00441           assert((A)->type==t && (B)->type==t), gan_eval((C)->type=(A)->type),\
00442           GAN_REP22L_AAA_C((C)->,=(A)->,+(B)->))
00443 #define GAN_ST22F_SUB(A,B,C,t)\
00444          (GAN_TEST_OP3(A,B,C,Gan_SquMatrix22_f,Gan_SquMatrix22_f,Gan_SquMatrix22_f),\
00445           assert((A)->type==t && (B)->type==t), gan_eval((C)->type=(A)->type),\
00446           GAN_REP22L_AAA_C((C)->,=(A)->,-(B)->))
00447 
00448 /* declare functions specific to generic 2x2 matrices */
00462 /* This library is free software; you can redistribute it and/or
00463    modify it under the terms of the GNU Lesser General Public
00464    License as published by the Free Software Foundation; either
00465    version 2.1 of the License, or (at your option) any later version.
00466 
00467    This library is distributed in the hope that it will be useful,
00468    but WITHOUT ANY WARRANTY; without even the implied warranty of
00469    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00470    Lesser General Public License for more details.
00471 
00472    You should have received a copy of the GNU Lesser General Public
00473    License along with this library; if not, write to the Free Software
00474    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00475 */
00476 
00477 #ifndef _GAN_2X2MATF_H
00478 
00493 Gan_Matrix22_f *gan_mat22f_fill_q ( Gan_Matrix22_f *A,
00494                                     float XX, float XY, float YX, float YY );
00495 
00516 void gan_mat22f_get_rows_q ( const Gan_Matrix22_f *A,
00517                              Gan_Vector2_f *p, Gan_Vector2_f *q );
00518 
00530 void gan_mat22f_get_cols_q ( const Gan_Matrix22_f *A,
00531                              Gan_Vector2_f *p, Gan_Vector2_f *q );
00532 
00538 #endif /* #ifndef _GAN_2X2MATF_H */
00539 
00540 #define GAN_MATTYPE Gan_Matrix22_f
00541 #define GAN_MATRIX_TYPE Gan_Matrix_f
00542 #define GAN_SQUMATRIX_TYPE Gan_SquMatrix_f
00543 #define GAN_VECTOR_TYPE Gan_Vector_f
00544 #define GAN_MAT_ELEMENT_TYPE GAN_FLOAT
00545 #define GAN_REALTYPE float
00546 #define GAN_FWRITE_LENDIAN gan_fwrite_lendian_f32
00547 #define GAN_FREAD_LENDIAN  gan_fread_lendian_f32
00548 #define GAN_VECTYPE1 Gan_Vector2_f
00549 #define GAN_VECTYPE2 Gan_Vector2_f
00550 #define GAN_MATTYPEL Gan_Matrix22_f
00551 #define GAN_MATTYPER Gan_Matrix22_f
00552 #define GAN_SQUMATTYPEL Gan_SquMatrix22_f
00553 #define GAN_SQUMATTYPER Gan_SquMatrix22_f
00554 #define GAN_MAT_FPRINT                     gan_mat22f_fprint
00555 #define GAN_MAT_PRINT                      gan_mat22f_print
00556 #define GAN_MAT_FSCANF                     gan_mat22f_fscanf
00557 #define GAN_MAT_FWRITE                     gan_mat22f_fwrite
00558 #define GAN_MAT_FREAD                      gan_mat22f_fread
00559 #define GAN_MAT_ZERO_Q                     gan_mat22f_zero_q
00560 #define GAN_MAT_ZERO_S                     gan_mat22f_zero_s
00561 #define GAN_MAT_COPY_Q                     gan_mat22f_copy_q
00562 #define GAN_MAT_COPY_S                     gan_mat22f_copy_s
00563 #define GAN_MAT_SCALE_Q                    gan_mat22f_scale_q
00564 #define GAN_MAT_SCALE_I                    gan_mat22f_scale_i
00565 #define GAN_MAT_SCALE_S                    gan_mat22f_scale_s
00566 #define GAN_MAT_DIVIDE_Q                   gan_mat22f_divide_q
00567 #define GAN_MAT_DIVIDE_I                   gan_mat22f_divide_i
00568 #define GAN_MAT_DIVIDE_S                   gan_mat22f_divide_s
00569 #define GAN_MAT_NEGATE_Q                   gan_mat22f_negate_q
00570 #define GAN_MAT_NEGATE_I                   gan_mat22f_negate_i
00571 #define GAN_MAT_NEGATE_S                   gan_mat22f_negate_s
00572 #define GAN_MAT_UNIT_Q                     gan_mat22f_unit_q
00573 #define GAN_MAT_UNIT_I                     gan_mat22f_unit_i
00574 #define GAN_MAT_UNIT_S                     gan_mat22f_unit_s
00575 #define GAN_MAT_ADD_Q                      gan_mat22f_add_q
00576 #define GAN_MAT_ADD_I1                     gan_mat22f_add_i1
00577 #define GAN_MAT_ADD_I2                     gan_mat22f_add_i2
00578 #define GAN_MAT_INCREMENT                  gan_mat22f_increment
00579 #define GAN_MAT_ADD_S                      gan_mat22f_add_s
00580 #define GAN_MAT_SUB_Q                      gan_mat22f_sub_q
00581 #define GAN_MAT_SUB_I1                     gan_mat22f_sub_i1
00582 #define GAN_MAT_SUB_I2                     gan_mat22f_sub_i2
00583 #define GAN_MAT_DECREMENT                  gan_mat22f_decrement
00584 #define GAN_MAT_SUB_S                      gan_mat22f_sub_s
00585 #define GAN_VEC_OUTER_Q                    gan_vec22f_outer_q
00586 #define GAN_VEC_OUTER_S                    gan_vec22f_outer_s
00587 #define GAN_MAT_MULTV_Q                    gan_mat22f_multv2_q
00588 #define GAN_MAT_MULTV_S                    gan_mat22f_multv2_s
00589 #define GAN_MATT_MULTV_Q                   gan_mat22Tf_multv2_q
00590 #define GAN_MATT_MULTV_S                   gan_mat22Tf_multv2_s
00591 #define GAN_MAT_LMULTMT_Q                  gan_mat22f_lmultm22T_q
00592 #define GAN_MAT_LMULTMT_S                  gan_mat22f_lmultm22T_s
00593 #define GAN_MAT_RMULTM_Q                   gan_mat22f_rmultm22_q
00594 #define GAN_MAT_RMULTM_S                   gan_mat22f_rmultm22_s
00595 #define GAN_MAT_RMULTMT_Q                  gan_mat22f_rmultm22T_q
00596 #define GAN_MAT_RMULTMT_S                  gan_mat22f_rmultm22T_s
00597 #define GAN_MAT_LMULTMT_SYM_Q              gan_mat22f_lmultm22T_sym_q
00598 #define GAN_MAT_LMULTMT_SYM_S              gan_mat22f_lmultm22T_sym_s
00599 #define GAN_MAT_RMULTMT_SYM_Q              gan_mat22f_rmultm22T_sym_q
00600 #define GAN_MAT_RMULTMT_SYM_S              gan_mat22f_rmultm22T_sym_s
00601 #define GAN_MAT_SLMULTT_Q                  gan_mat22f_slmultT_q
00602 #define GAN_MAT_SLMULTT_S                  gan_mat22f_slmultT_s
00603 #define GAN_MAT_SRMULTT_Q                  gan_mat22f_srmultT_q
00604 #define GAN_MAT_SRMULTT_S                  gan_mat22f_srmultT_s
00605 #define GAN_MAT_LMULTS_Q                   gan_mat22f_lmults22_q
00606 #define GAN_MAT_LMULTS_S                   gan_mat22f_lmults22_s
00607 #define GAN_MAT_RMULTS_Q                   gan_mat22f_rmults22_q
00608 #define GAN_MAT_RMULTS_S                   gan_mat22f_rmults22_s
00609 #define GAN_SYMMATL_LRMULT_Q               gan_symmat22f_lrmultm22T_q
00610 #define GAN_SYMMATL_LRMULT_S               gan_symmat22f_lrmultm22T_s
00611 #define GAN_SYMMATR_LRMULT_Q               gan_symmat22f_lrmultm22_q
00612 #define GAN_SYMMATR_LRMULT_S               gan_symmat22f_lrmultm22_s
00613 #define GAN_MAT_LMULTL_Q                   gan_mat22f_lmultl22_q
00614 #define GAN_MAT_LMULTL_S                   gan_mat22f_lmultl22_s
00615 #define GAN_MAT_LMULTL_I                   gan_mat22f_lmultl22_i
00616 #define GAN_MAT_LMULTLI_Q                  gan_mat22f_lmultl22I_q
00617 #define GAN_MAT_LMULTLI_S                  gan_mat22f_lmultl22I_s
00618 #define GAN_MAT_LMULTLI_I                  gan_mat22f_lmultl22I_i
00619 #define GAN_MAT_LMULTLT_Q                  gan_mat22f_lmultl22T_q
00620 #define GAN_MAT_LMULTLT_S                  gan_mat22f_lmultl22T_s
00621 #define GAN_MAT_LMULTLT_I                  gan_mat22f_lmultl22T_i
00622 #define GAN_MAT_LMULTLIT_Q                 gan_mat22f_lmultl22IT_q
00623 #define GAN_MAT_LMULTLIT_S                 gan_mat22f_lmultl22IT_s
00624 #define GAN_MAT_LMULTLIT_I                 gan_mat22f_lmultl22IT_i
00625 #define GAN_MAT_RMULTL_Q                   gan_mat22f_rmultl22_q
00626 #define GAN_MAT_RMULTL_S                   gan_mat22f_rmultl22_s
00627 #define GAN_MAT_RMULTL_I                   gan_mat22f_rmultl22_i
00628 #define GAN_MAT_RMULTLI_Q                  gan_mat22f_rmultl22I_q
00629 #define GAN_MAT_RMULTLI_S                  gan_mat22f_rmultl22I_s
00630 #define GAN_MAT_RMULTLI_I                  gan_mat22f_rmultl22I_i
00631 #define GAN_MAT_RMULTLT_Q                  gan_mat22f_rmultl22T_q
00632 #define GAN_MAT_RMULTLT_S                  gan_mat22f_rmultl22T_s
00633 #define GAN_MAT_RMULTLT_I                  gan_mat22f_rmultl22T_i
00634 #define GAN_MAT_RMULTLIT_Q                 gan_mat22f_rmultl22IT_q
00635 #define GAN_MAT_RMULTLIT_S                 gan_mat22f_rmultl22IT_s
00636 #define GAN_MAT_RMULTLIT_I                 gan_mat22f_rmultl22IT_i
00637 #define GAN_MAT_SUMSQR_Q                   gan_mat22f_sumsqr_q
00638 #define GAN_MAT_SUMSQR_S                   gan_mat22f_sumsqr_s
00639 #define GAN_MAT_FNORM_Q                    gan_mat22f_Fnorm_q
00640 #define GAN_MAT_FNORM_S                    gan_mat22f_Fnorm_s
00641 #define GAN_MAT_FROM_MAT_Q                 gan_mat22f_from_matf_q
00642 #define GAN_MAT_FROM_MAT_S                 gan_mat22f_from_matf_s
00643 #define GAN_MAT_FROM_SQUMAT_Q              gan_mat22f_from_squmatf_q
00644 #define GAN_MAT_FROM_SQUMAT_S              gan_mat22f_from_squmatf_s
00645 #define GAN_SQUMAT_FROM_SQUMAT_Q           gan_squmat22f_from_squmatf_q
00646 #define GAN_SQUMAT_FROM_SQUMAT_S           gan_squmat22f_from_squmatf_s
00647 
00648 #define GAN_SQUMAT_IDENT_Q    gan_mat22f_ident_q
00649 #define GAN_SQUMAT_IDENT_S    gan_mat22f_ident_s
00650 #define GAN_SQUMAT_TPOSE_Q    gan_mat22f_tpose_q
00651 #define GAN_SQUMAT_TPOSE_S    gan_mat22f_tpose_s
00652 #define GAN_SQUMAT_TPOSE_I    gan_mat22f_tpose_i
00653 #define GAN_MAT_SADDT_Q       gan_mat22f_saddT_q
00654 #define GAN_MAT_SADDT_S       gan_mat22f_saddT_s
00655 #define GAN_SQUMAT_INVERT     gan_mat22f_invert
00656 #define GAN_SQUMAT_INVERT_Q   gan_mat22f_invert_q
00657 #define GAN_SQUMAT_INVERT_S   gan_mat22f_invert_s
00658 #define GAN_SQUMAT_INVERT_I   gan_mat22f_invert_i
00659 #define GAN_SQUMAT_ADJOINT_Q  gan_mat22f_adjoint_q
00660 #define GAN_SQUMAT_ADJOINT_S  gan_mat22f_adjoint_s
00661 #define GAN_SQUMAT_ADJOINTT_Q gan_mat22f_adjointT_q
00662 #define GAN_SQUMAT_ADJOINTT_S gan_mat22f_adjointT_s
00663 #define GAN_SQUMAT_DET_Q      gan_mat22f_det_q
00664 #define GAN_SQUMAT_DET_S      gan_mat22f_det_s
00665 #define GAN_SQUMAT_TRACE_Q    gan_mat22f_trace_q
00666 #define GAN_SQUMAT_TRACE_S    gan_mat22f_trace_s
00667 
00668 #ifndef _GAN_2X2MATF_H
00669 #define _GAN_2X2MATF_H
00670 
00671 
00672 #endif /* #ifndef _GAN_2X2MATF_H */
00673 
00686 /* This library is free software; you can redistribute it and/or
00687    modify it under the terms of the GNU Lesser General Public
00688    License as published by the Free Software Foundation; either
00689    version 2.1 of the License, or (at your option) any later version.
00690 
00691    This library is distributed in the hope that it will be useful,
00692    but WITHOUT ANY WARRANTY; without even the implied warranty of
00693    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00694    Lesser General Public License for more details.
00695 
00696    You should have received a copy of the GNU Lesser General Public
00697    License along with this library; if not, write to the Free Software
00698    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00699 */
00700 
00701 /* function declarations for functions common to all small square matrix
00702  * types */
00703 
00704 
00705 
00706 /* documentation for macros defined in individual header files */
00707 
00720 Gan_Matrix22_f *gan_mat22f_ident_q ( Gan_Matrix22_f *A );
00721 
00739 Gan_Matrix22_f *gan_mat22f_tpose_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
00740 
00758 Gan_SquMatrix22_f *gan_mat22f_saddT_q ( const Gan_Matrix22_f *A, Gan_SquMatrix22_f *B );
00759 
00790 Gan_Matrix22_f *gan_mat22f_invert_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
00791 
00800 Gan_Matrix22_f *gan_mat22f_invert_i ( Gan_Matrix22_f *A );
00801 
00816 float gan_mat22f_det_q ( const Gan_Matrix22_f *A );
00817 
00823 float gan_mat22f_trace_q ( const Gan_Matrix22_f *A );
00824 
00830 #undef GAN_SQUMAT_IDENT_Q
00831 #undef GAN_SQUMAT_IDENT_S
00832 #undef GAN_SQUMAT_TPOSE_Q
00833 #undef GAN_SQUMAT_TPOSE_S
00834 #undef GAN_SQUMAT_TPOSE_I
00835 #undef GAN_MAT_SADDT_Q
00836 #undef GAN_MAT_SADDT_S
00837 #undef GAN_SQUMATI_MULTV_Q
00838 #undef GAN_SQUMATI_MULTV_S
00839 #undef GAN_SQUMATI_MULTV_I
00840 #undef GAN_SQUMATIT_MULTV_Q
00841 #undef GAN_SQUMATIT_MULTV_S
00842 #undef GAN_SQUMATIT_MULTV_I
00843 #undef GAN_SQUMAT_INVERT
00844 #undef GAN_SQUMAT_INVERT_Q
00845 #undef GAN_SQUMAT_INVERT_S
00846 #undef GAN_SQUMAT_INVERT_I
00847 #undef GAN_SQUMAT_ADJOINT_Q
00848 #undef GAN_SQUMAT_ADJOINT_S
00849 #undef GAN_SQUMAT_ADJOINTT_Q
00850 #undef GAN_SQUMAT_ADJOINTT_S
00851 #undef GAN_SQUMAT_DET_Q
00852 #undef GAN_SQUMAT_DET_S
00853 #undef GAN_SQUMAT_TRACE_Q
00854 #undef GAN_SQUMAT_TRACE_S
00855 
00868 /* This library is free software; you can redistribute it and/or
00869    modify it under the terms of the GNU Lesser General Public
00870    License as published by the Free Software Foundation; either
00871    version 2.1 of the License, or (at your option) any later version.
00872 
00873    This library is distributed in the hope that it will be useful,
00874    but WITHOUT ANY WARRANTY; without even the implied warranty of
00875    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00876    Lesser General Public License for more details.
00877 
00878    You should have received a copy of the GNU Lesser General Public
00879    License along with this library; if not, write to the Free Software
00880    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00881 */
00882 
00883 /* function declarations for functions common to all small vector types */
00884 
00885 
00886 
00887 /* documentation for macros defined in individual header files */
00888 
00899 Gan_Matrix22_f *gan_mat22f_zero_q ( const Gan_Matrix22_f *A );
00900 
00917 Gan_Matrix22_f *gan_mat22f_copy_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
00918 
00936 Gan_Matrix22_f *gan_mat22f_scale_q ( Gan_Matrix22_f *A, float a,
00937                                Gan_Matrix22_f *B );
00938 
00946 Gan_Matrix22_f *gan_mat22f_scale_i ( Gan_Matrix22_f *A, float a );
00947 
00956 Gan_Matrix22_f *gan_mat22f_divide_q ( Gan_Matrix22_f *A, float a,
00957                                 Gan_Matrix22_f *B );
00958 
00966 Gan_Matrix22_f *gan_mat22f_divide_i ( Gan_Matrix22_f *A, float a );
00967 
00975 Gan_Matrix22_f *gan_mat22f_negate_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
00976 
00984 Gan_Matrix22_f *gan_mat22f_negate_i ( Gan_Matrix22_f *A );
00985 
00993 Gan_Matrix22_f *gan_mat22f_unit_i ( Gan_Matrix22_f *A );
00994 
01012 Gan_Matrix22_f *gan_mat22f_add_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B, Gan_Matrix22_f *C );
01013 
01022 Gan_Matrix22_f *gan_mat22f_add_i1 ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01023 
01032 Gan_Matrix22_f *gan_mat22f_add_i2 ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01033 
01042 Gan_Matrix22_f *gan_mat22f_increment ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01043 
01061 Gan_Matrix22_f *gan_mat22f_sub_q ( Gan_Matrix22_f *A, Gan_Matrix22_f *B, Gan_Matrix22_f *C );
01062 
01071 Gan_Matrix22_f *gan_mat22f_sub_i1 ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01072 
01081 Gan_Matrix22_f *gan_mat22f_sub_i2 ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01082 
01091 Gan_Matrix22_f *gan_mat22f_decrement ( Gan_Matrix22_f *A, Gan_Matrix22_f *B );
01092 
01110 Gan_Matrix22_f *gan_vec22f_outer_q ( const Gan_Vector2_f *p, const Gan_Vector2_f *q,
01111                                Gan_Matrix22_f *A );
01112 
01121 Gan_Vector2_f *gan_mat22f_multv2_q ( const Gan_Matrix22_f *A, Gan_Vector2_f *p,
01122                                 Gan_Vector2_f *q );
01123 
01124 
01133 Gan_Vector2_f *gan_mat22Tf_multv2_q ( const Gan_Matrix22_f *A, Gan_Vector2_f *p,
01134                                  Gan_Vector2_f *q );
01135 
01136 
01156 Gan_Matrix22_f *gan_mat22f_lmultm22T_q ( Gan_Matrix22_f *A, const Gan_Matrix22_f *B,
01157                                  Gan_Matrix22_f *C );
01158 
01168 Gan_Matrix22_f *gan_mat22f_rmultm22_q ( Gan_Matrix22_f *A, const Gan_Matrix22_f *B,
01169                                 Gan_Matrix22_f *C );
01170 
01180 Gan_Matrix22_f *gan_mat22f_rmultm22T_q ( Gan_Matrix22_f *A, const Gan_Matrix22_f *B,
01181                                  Gan_Matrix22_f *C );
01182 
01194 Gan_SquMatrix22_f *gan_mat22f_lmultm22T_sym_q ( const Gan_Matrix22_f *A, const Gan_Matrix22_f *B,
01195                                          Gan_SquMatrix22_f *C );
01196 
01208 Gan_SquMatrix22_f *gan_mat22f_rmultm22T_sym_q ( const Gan_Matrix22_f *A, const Gan_Matrix22_f *B,
01209                                          Gan_SquMatrix22_f *C );
01210 
01219 Gan_Matrix22_f *gan_mat22f_lmults22_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01220                                 Gan_Matrix22_f *C );
01221 
01230 Gan_Matrix22_f *gan_mat22f_rmults22_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01231                                 Gan_Matrix22_f *C );
01232 
01252 Gan_SquMatrix22_f *gan_symmat22f_lrmultm22T_q ( const Gan_SquMatrix22_f *A, const Gan_Matrix22_f *B,
01253                                         const Gan_Matrix22_f *C, Gan_SquMatrix22_f *D );
01254 
01265 Gan_SquMatrix22_f *gan_symmat22f_lrmultm22_q ( const Gan_SquMatrix22_f *A, const Gan_Matrix22_f *B,
01266                                         const Gan_Matrix22_f *C, Gan_SquMatrix22_f *D );
01267 
01286 Gan_Matrix22_f *gan_mat22f_lmultl22_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01287                                 Gan_Matrix22_f *C );
01288 
01298 Gan_Matrix22_f *gan_mat22f_lmultl22I_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01299                                  Gan_Matrix22_f *C );
01300 
01310 Gan_Matrix22_f *gan_mat22f_lmultl22T_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01311                                  Gan_Matrix22_f *C );
01312 
01322 Gan_Matrix22_f *gan_mat22f_lmultl22IT_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01323                                   Gan_Matrix22_f *C );
01324 
01334 Gan_Matrix22_f *gan_mat22f_rmultl22_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01335                                 Gan_Matrix22_f *C );
01336 
01346 Gan_Matrix22_f *gan_mat22f_rmultl22I_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01347                                  Gan_Matrix22_f *C );
01348 
01358 Gan_Matrix22_f *gan_mat22f_rmultl22T_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01359                                  Gan_Matrix22_f *C );
01360 
01370 Gan_Matrix22_f *gan_mat22f_rmultl22IT_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B,
01371                                   Gan_Matrix22_f *C );
01372 
01382 Gan_Matrix22_f *gan_mat22f_lmultl22_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01383 
01393 Gan_Matrix22_f *gan_mat22f_lmultl22I_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01394 
01404 Gan_Matrix22_f *gan_mat22f_lmultl22T_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01405 
01415 Gan_Matrix22_f *gan_mat22f_lmultl22IT_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01416 
01426 Gan_Matrix22_f *gan_mat22f_rmultl22_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01427 
01437 Gan_Matrix22_f *gan_mat22f_rmultl22I_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01438 
01448 Gan_Matrix22_f *gan_mat22f_rmultl22T_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01449 
01459 Gan_Matrix22_f *gan_mat22f_rmultl22IT_i ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01460 
01469 Gan_SquMatrix22_f *gan_mat22f_slmultT_q ( Gan_Matrix22_f *A, const Gan_SquMatrix22_f *B );
01470 
01471 
01480 Gan_SquMatrix22_f *gan_mat22f_srmultT_q ( const Gan_Matrix22_f *A, Gan_SquMatrix22_f *B );
01481 
01482 
01497 float gan_mat22f_sumsqr_q ( const Gan_Matrix22_f *A );
01498 
01505 float gan_mat22f_Fnorm_q ( const Gan_Matrix22_f *A );
01506 
01516 Gan_Matrix22_f *gan_mat22f_from_matf_q ( const Gan_Matrix_f *A, Gan_Matrix22_f *B );
01517 
01518 Gan_Matrix22_f *gan_mat22f_from_squmatf_q ( const Gan_SquMatrix_f *A, Gan_Matrix22_f *B );
01519 
01520 Gan_SquMatrix22_f *gan_squmat22f_from_squmatf_q ( const Gan_SquMatrix_f *A,
01521                                             Gan_SquMatrix22_f *B );
01522 
01541 /* This library is free software; you can redistribute it and/or
01542    modify it under the terms of the GNU Lesser General Public
01543    License as published by the Free Software Foundation; either
01544    version 2.1 of the License, or (at your option) any later version.
01545 
01546    This library is distributed in the hope that it will be useful,
01547    but WITHOUT ANY WARRANTY; without even the implied warranty of
01548    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
01549    Lesser General Public License for more details.
01550 
01551    You should have received a copy of the GNU Lesser General Public
01552    License along with this library; if not, write to the Free Software
01553    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
01554 */
01555 
01556 #undef GAN_MATTYPE
01557 #undef GAN_MATRIX_TYPE
01558 #undef GAN_SQUMATRIX_TYPE
01559 #undef GAN_VECTOR_TYPE
01560 #undef GAN_MAT_ELEMENT_TYPE
01561 #undef GAN_REALTYPE
01562 #undef GAN_FWRITE_LENDIAN
01563 #undef GAN_FREAD_LENDIAN
01564 #undef GAN_VECTYPE1
01565 #undef GAN_VECTYPE2
01566 #undef GAN_MATTYPEL
01567 #undef GAN_MATTYPER
01568 #undef GAN_SQUMATTYPEL
01569 #undef GAN_SQUMATTYPER
01570 #undef GAN_FIXED_MATRIX_TYPE
01571 #undef GAN_MAT_FPRINT
01572 #undef GAN_MAT_PRINT
01573 #undef GAN_MAT_FSCANF
01574 #undef GAN_MAT_FWRITE
01575 #undef GAN_MAT_FREAD
01576 #undef GAN_MAT_ZERO_Q
01577 #undef GAN_MAT_ZERO_S
01578 #undef GAN_MAT_COPY_Q
01579 #undef GAN_MAT_COPY_S
01580 #undef GAN_MAT_SCALE_Q
01581 #undef GAN_MAT_SCALE_S
01582 #undef GAN_MAT_SCALE_I
01583 #undef GAN_MAT_DIVIDE_Q
01584 #undef GAN_MAT_DIVIDE_S
01585 #undef GAN_MAT_DIVIDE_I
01586 #undef GAN_MAT_NEGATE_Q
01587 #undef GAN_MAT_NEGATE_S
01588 #undef GAN_MAT_NEGATE_I
01589 #undef GAN_MAT_UNIT_Q
01590 #undef GAN_MAT_UNIT_S
01591 #undef GAN_MAT_UNIT_I
01592 #undef GAN_MAT_ADD_Q
01593 #undef GAN_MAT_ADD_I1
01594 #undef GAN_MAT_ADD_I2
01595 #undef GAN_MAT_INCREMENT
01596 #undef GAN_MAT_ADD_S
01597 #undef GAN_MAT_SUB_Q
01598 #undef GAN_MAT_SUB_I1
01599 #undef GAN_MAT_SUB_I2
01600 #undef GAN_MAT_DECREMENT
01601 #undef GAN_MAT_SUB_S
01602 #undef GAN_VEC_OUTER_Q
01603 #undef GAN_VEC_OUTER_S
01604 #undef GAN_MAT_MULTV_Q
01605 #undef GAN_MAT_MULTV_S
01606 #undef GAN_MAT_MULTV_I
01607 #undef GAN_MATT_MULTV_Q
01608 #undef GAN_MATT_MULTV_S
01609 #undef GAN_MATT_MULTV_I
01610 #undef GAN_MAT_LMULTM_Q
01611 #undef GAN_MAT_LMULTM_S
01612 #undef GAN_MAT_LMULTMT_Q
01613 #undef GAN_MAT_LMULTMT_S
01614 #undef GAN_MAT_RMULTM_Q
01615 #undef GAN_MAT_RMULTM_S
01616 #undef GAN_MAT_RMULTMT_Q
01617 #undef GAN_MAT_RMULTMT_S
01618 #undef GAN_MAT_LMULTMT_SYM_Q
01619 #undef GAN_MAT_LMULTMT_SYM_S
01620 #undef GAN_MAT_RMULTMT_SYM_Q
01621 #undef GAN_MAT_RMULTMT_SYM_S
01622 #undef GAN_MAT_LMULTS_Q
01623 #undef GAN_MAT_LMULTS_S
01624 #undef GAN_MAT_RMULTS_Q
01625 #undef GAN_MAT_RMULTS_S
01626 #undef GAN_SYMMATL_LRMULT_Q
01627 #undef GAN_SYMMATL_LRMULT_S
01628 #undef GAN_SYMMATR_LRMULT_Q
01629 #undef GAN_SYMMATR_LRMULT_S
01630 #undef GAN_MAT_LMULTL_Q
01631 #undef GAN_MAT_LMULTL_S
01632 #undef GAN_MAT_LMULTL_I
01633 #undef GAN_MAT_LMULTLI_Q
01634 #undef GAN_MAT_LMULTLI_S
01635 #undef GAN_MAT_LMULTLI_I
01636 #undef GAN_MAT_LMULTLT_Q
01637 #undef GAN_MAT_LMULTLT_S
01638 #undef GAN_MAT_LMULTLT_I
01639 #undef GAN_MAT_LMULTLIT_Q
01640 #undef GAN_MAT_LMULTLIT_S
01641 #undef GAN_MAT_LMULTLIT_I
01642 #undef GAN_MAT_RMULTL_Q
01643 #undef GAN_MAT_RMULTL_S
01644 #undef GAN_MAT_RMULTL_I
01645 #undef GAN_MAT_RMULTLI_Q
01646 #undef GAN_MAT_RMULTLI_S
01647 #undef GAN_MAT_RMULTLI_I
01648 #undef GAN_MAT_RMULTLT_Q
01649 #undef GAN_MAT_RMULTLT_S
01650 #undef GAN_MAT_RMULTLT_I
01651 #undef GAN_MAT_RMULTLIT_Q
01652 #undef GAN_MAT_RMULTLIT_S
01653 #undef GAN_MAT_RMULTLIT_I
01654 #undef GAN_MAT_SRMULTT_Q
01655 #undef GAN_MAT_SRMULTT_S
01656 #undef GAN_MAT_SRMULTT_I
01657 #undef GAN_MAT_SLMULTT_Q
01658 #undef GAN_MAT_SLMULTT_S
01659 #undef GAN_MAT_SLMULTT_I
01660 #undef GAN_MAT_RMULTLIT_S
01661 #undef GAN_MAT_SUMSQR_Q
01662 #undef GAN_MAT_SUMSQR_S
01663 #undef GAN_MAT_FNORM_Q
01664 #undef GAN_MAT_FNORM_S
01665 #undef GAN_MAT_FROM_MAT_Q
01666 #undef GAN_MAT_FROM_MAT_S
01667 #undef GAN_MAT_FROM_SQUMAT_Q
01668 #undef GAN_MAT_FROM_SQUMAT_S
01669 #undef GAN_SQUMAT_FROM_SQUMAT_Q
01670 #undef GAN_SQUMAT_FROM_SQUMAT_S
01671 
01672 /* declare functions specific to symmetric 2x2 matrices */
01686 /* This library is free software; you can redistribute it and/or
01687    modify it under the terms of the GNU Lesser General Public
01688    License as published by the Free Software Foundation; either
01689    version 2.1 of the License, or (at your option) any later version.
01690 
01691    This library is distributed in the hope that it will be useful,
01692    but WITHOUT ANY WARRANTY; without even the implied warranty of
01693    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
01694    Lesser General Public License for more details.
01695 
01696    You should have received a copy of the GNU Lesser General Public
01697    License along with this library; if not, write to the Free Software
01698    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
01699 */
01700 
01701 #ifndef _GAN_2X2SYMMATF_H
01702 
01718 Gan_SquMatrix22_f *gan_symmat22f_fill_q ( Gan_SquMatrix22_f *A,
01719                                           float XX, float YX, float YY );
01720 
01726 #endif /* #ifndef _GAN_2X2SYMMATF_H */
01727 
01728 #define GAN_MATTYPE Gan_SquMatrix22_f
01729 #define GAN_MATRIX_TYPE Gan_SquMatrix_f
01730 #define GAN_SQUMATRIX_TYPE Gan_SquMatrix_f
01731 #define GAN_VECTOR_TYPE Gan_Vector_f
01732 #define GAN_MAT_ELEMENT_TYPE GAN_FLOAT
01733 #define GAN_REALTYPE float
01734 #define GAN_FWRITE_LENDIAN gan_fwrite_lendian_f32
01735 #define GAN_FREAD_LENDIAN  gan_fread_lendian_f32
01736 #define GAN_VECTYPE1 Gan_Vector2_f
01737 #define GAN_VECTYPE2 Gan_Vector2_f
01738 #define GAN_FIXED_MATRIX_TYPE GAN_SYMMETRIC_MATRIX22_F
01739 #define GAN_MAT_FPRINT      gan_symmat22f_fprint
01740 #define GAN_MAT_PRINT       gan_symmat22f_print
01741 #define GAN_MAT_FSCANF      gan_symmat22f_fscanf
01742 #define GAN_MAT_FWRITE      gan_symmat22f_fwrite
01743 #define GAN_MAT_FREAD       gan_symmat22f_fread
01744 #define GAN_MAT_ZERO_Q      gan_symmat22f_zero_q
01745 #define GAN_MAT_ZERO_S      gan_symmat22f_zero_s
01746 #define GAN_MAT_COPY_Q      gan_symmat22f_copy_q
01747 #define GAN_MAT_COPY_S      gan_symmat22f_copy_s
01748 #define GAN_MAT_SCALE_Q     gan_symmat22f_scale_q
01749 #define GAN_MAT_SCALE_S     gan_symmat22f_scale_s
01750 #define GAN_MAT_SCALE_I     gan_symmat22f_scale_i
01751 #define GAN_MAT_DIVIDE_Q    gan_symmat22f_divide_q
01752 #define GAN_MAT_DIVIDE_S    gan_symmat22f_divide_s
01753 #define GAN_MAT_DIVIDE_I    gan_symmat22f_divide_i
01754 #define GAN_MAT_NEGATE_Q    gan_symmat22f_negate_q
01755 #define GAN_MAT_NEGATE_S    gan_symmat22f_negate_s
01756 #define GAN_MAT_NEGATE_I    gan_symmat22f_negate_i
01757 #define GAN_MAT_UNIT_Q      gan_symmat22f_unit_q
01758 #define GAN_MAT_UNIT_S      gan_symmat22f_unit_s
01759 #define GAN_MAT_UNIT_I      gan_symmat22f_unit_i
01760 #define GAN_MAT_ADD_Q       gan_symmat22f_add_q
01761 #define GAN_MAT_ADD_I1      gan_symmat22f_add_i1
01762 #define GAN_MAT_ADD_I2      gan_symmat22f_add_i2
01763 #define GAN_MAT_INCREMENT   gan_symmat22f_increment
01764 #define GAN_MAT_ADD_S       gan_symmat22f_add_s
01765 #define GAN_MAT_SUB_Q       gan_symmat22f_sub_q
01766 #define GAN_MAT_SUB_I1      gan_symmat22f_sub_i1
01767 #define GAN_MAT_SUB_I2      gan_symmat22f_sub_i2
01768 #define GAN_MAT_DECREMENT   gan_symmat22f_decrement
01769 #define GAN_MAT_SUB_S       gan_symmat22f_sub_s
01770 #define GAN_MAT_MULTV_Q     gan_symmat22f_multv2_q
01771 #define GAN_MAT_MULTV_S     gan_symmat22f_multv2_s
01772 #define GAN_MAT_SUMSQR_Q    gan_symmat22f_sumsqr_q
01773 #define GAN_MAT_SUMSQR_S    gan_symmat22f_sumsqr_s
01774 #define GAN_MAT_FNORM_Q     gan_symmat22f_Fnorm_q
01775 #define GAN_MAT_FNORM_S     gan_symmat22f_Fnorm_s
01776 
01777 #define GAN_SQUMAT_IDENT_Q       gan_symmat22f_ident_q
01778 #define GAN_SQUMAT_IDENT_S       gan_symmat22f_ident_s
01779 #define GAN_SQUMAT_INVERT        gan_symmat22f_invert
01780 #define GAN_SQUMAT_INVERT_Q      gan_symmat22f_invert_q
01781 #define GAN_SQUMAT_INVERT_S      gan_symmat22f_invert_s
01782 #define GAN_SQUMAT_INVERT_I      gan_symmat22f_invert_i
01783 #define GAN_SQUMAT_DET_Q         gan_symmat22f_det_q
01784 #define GAN_SQUMAT_DET_S         gan_symmat22f_det_s
01785 #define GAN_SQUMAT_TRACE_Q       gan_symmat22f_trace_q
01786 #define GAN_SQUMAT_TRACE_S       gan_symmat22f_trace_s
01787 
01788 #define GAN_VEC_OUTER_SYM_Q    gan_vec22f_outer_sym_q
01789 #define GAN_VEC_OUTER_SYM_S    gan_vec22f_outer_sym_s
01790 #define GAN_SYMMAT_CHOLESKY    gan_symmat22f_cholesky
01791 #define GAN_SYMMAT_CHOLESKY_Q  gan_symmat22f_cholesky_q
01792 #define GAN_SYMMAT_CHOLESKY_S  gan_symmat22f_cholesky_s
01793 #define GAN_SYMMAT_CHOLESKY_I  gan_symmat22f_cholesky_i
01794 
01795 #ifndef _GAN_2X2SYMMATF_H
01796 #define _GAN_2X2SYMMATF_H
01797 
01798 
01799 #endif /* #ifndef _GAN_2X2SYMMATF_H */
01800 
01813 /* This library is free software; you can redistribute it and/or
01814    modify it under the terms of the GNU Lesser General Public
01815    License as published by the Free Software Foundation; either
01816    version 2.1 of the License, or (at your option) any later version.
01817 
01818    This library is distributed in the hope that it will be useful,
01819    but WITHOUT ANY WARRANTY; without even the implied warranty of
01820    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
01821    Lesser General Public License for more details.
01822 
01823    You should have received a copy of the GNU Lesser General Public
01824    License along with this library; if not, write to the Free Software
01825    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
01826 */
01827 
01828 /* function declarations for functions common to all small symmetric matrix
01829  * types */
01830 
01831 
01832 
01833 /* documentation for macros defined in individual header files */
01834 
01845 Gan_SquMatrix22_f *gan_vec22f_outer_sym_q ( const Gan_Vector2_f *p, Gan_SquMatrix22_f *A );
01846 
01868 Gan_SquMatrix22_f *gan_symmat22f_cholesky_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
01869 
01878 Gan_SquMatrix22_f *gan_symmat22f_cholesky_i ( Gan_SquMatrix22_f *A );
01879 
01885 #undef GAN_VEC_OUTER_SYM_Q
01886 #undef GAN_VEC_OUTER_SYM_S
01887 #undef GAN_SYMMAT_CHOLESKY
01888 #undef GAN_SYMMAT_CHOLESKY_Q
01889 #undef GAN_SYMMAT_CHOLESKY_S
01890 #undef GAN_SYMMAT_CHOLESKY_I
01891 
01904 /* This library is free software; you can redistribute it and/or
01905    modify it under the terms of the GNU Lesser General Public
01906    License as published by the Free Software Foundation; either
01907    version 2.1 of the License, or (at your option) any later version.
01908 
01909    This library is distributed in the hope that it will be useful,
01910    but WITHOUT ANY WARRANTY; without even the implied warranty of
01911    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
01912    Lesser General Public License for more details.
01913 
01914    You should have received a copy of the GNU Lesser General Public
01915    License along with this library; if not, write to the Free Software
01916    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
01917 */
01918 
01919 /* function declarations for functions common to all small square matrix
01920  * types */
01921 
01922 
01923 
01924 /* documentation for macros defined in individual header files */
01925 
01938 Gan_SquMatrix22_f *gan_symmat22f_ident_q ( Gan_SquMatrix22_f *A );
01939 
01990 Gan_SquMatrix22_f *gan_symmat22f_invert_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
01991 
02000 Gan_SquMatrix22_f *gan_symmat22f_invert_i ( Gan_SquMatrix22_f *A );
02001 
02016 float gan_symmat22f_det_q ( const Gan_SquMatrix22_f *A );
02017 
02023 float gan_symmat22f_trace_q ( const Gan_SquMatrix22_f *A );
02024 
02030 #undef GAN_SQUMAT_IDENT_Q
02031 #undef GAN_SQUMAT_IDENT_S
02032 #undef GAN_SQUMAT_TPOSE_Q
02033 #undef GAN_SQUMAT_TPOSE_S
02034 #undef GAN_SQUMAT_TPOSE_I
02035 #undef GAN_MAT_SADDT_Q
02036 #undef GAN_MAT_SADDT_S
02037 #undef GAN_SQUMATI_MULTV_Q
02038 #undef GAN_SQUMATI_MULTV_S
02039 #undef GAN_SQUMATI_MULTV_I
02040 #undef GAN_SQUMATIT_MULTV_Q
02041 #undef GAN_SQUMATIT_MULTV_S
02042 #undef GAN_SQUMATIT_MULTV_I
02043 #undef GAN_SQUMAT_INVERT
02044 #undef GAN_SQUMAT_INVERT_Q
02045 #undef GAN_SQUMAT_INVERT_S
02046 #undef GAN_SQUMAT_INVERT_I
02047 #undef GAN_SQUMAT_ADJOINT_Q
02048 #undef GAN_SQUMAT_ADJOINT_S
02049 #undef GAN_SQUMAT_ADJOINTT_Q
02050 #undef GAN_SQUMAT_ADJOINTT_S
02051 #undef GAN_SQUMAT_DET_Q
02052 #undef GAN_SQUMAT_DET_S
02053 #undef GAN_SQUMAT_TRACE_Q
02054 #undef GAN_SQUMAT_TRACE_S
02055 
02068 /* This library is free software; you can redistribute it and/or
02069    modify it under the terms of the GNU Lesser General Public
02070    License as published by the Free Software Foundation; either
02071    version 2.1 of the License, or (at your option) any later version.
02072 
02073    This library is distributed in the hope that it will be useful,
02074    but WITHOUT ANY WARRANTY; without even the implied warranty of
02075    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
02076    Lesser General Public License for more details.
02077 
02078    You should have received a copy of the GNU Lesser General Public
02079    License along with this library; if not, write to the Free Software
02080    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
02081 */
02082 
02083 /* function declarations for functions common to all small vector types */
02084 
02085 
02086 
02087 /* documentation for macros defined in individual header files */
02088 
02099 Gan_SquMatrix22_f *gan_symmat22f_zero_q ( const Gan_SquMatrix22_f *A );
02100 
02117 Gan_SquMatrix22_f *gan_symmat22f_copy_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02118 
02136 Gan_SquMatrix22_f *gan_symmat22f_scale_q ( Gan_SquMatrix22_f *A, float a,
02137                                Gan_SquMatrix22_f *B );
02138 
02146 Gan_SquMatrix22_f *gan_symmat22f_scale_i ( Gan_SquMatrix22_f *A, float a );
02147 
02156 Gan_SquMatrix22_f *gan_symmat22f_divide_q ( Gan_SquMatrix22_f *A, float a,
02157                                 Gan_SquMatrix22_f *B );
02158 
02166 Gan_SquMatrix22_f *gan_symmat22f_divide_i ( Gan_SquMatrix22_f *A, float a );
02167 
02175 Gan_SquMatrix22_f *gan_symmat22f_negate_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02176 
02184 Gan_SquMatrix22_f *gan_symmat22f_negate_i ( Gan_SquMatrix22_f *A );
02185 
02193 Gan_SquMatrix22_f *gan_symmat22f_unit_i ( Gan_SquMatrix22_f *A );
02194 
02212 Gan_SquMatrix22_f *gan_symmat22f_add_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B, Gan_SquMatrix22_f *C );
02213 
02222 Gan_SquMatrix22_f *gan_symmat22f_add_i1 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02223 
02232 Gan_SquMatrix22_f *gan_symmat22f_add_i2 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02233 
02242 Gan_SquMatrix22_f *gan_symmat22f_increment ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02243 
02261 Gan_SquMatrix22_f *gan_symmat22f_sub_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B, Gan_SquMatrix22_f *C );
02262 
02271 Gan_SquMatrix22_f *gan_symmat22f_sub_i1 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02272 
02281 Gan_SquMatrix22_f *gan_symmat22f_sub_i2 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02282 
02291 Gan_SquMatrix22_f *gan_symmat22f_decrement ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02292 
02311 Gan_Vector2_f *gan_symmat22f_multv2_q ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p,
02312                                 Gan_Vector2_f *q );
02313 
02314 
02315 
02316 
02388 float gan_symmat22f_sumsqr_q ( const Gan_SquMatrix22_f *A );
02389 
02396 float gan_symmat22f_Fnorm_q ( const Gan_SquMatrix22_f *A );
02397 
02428 /* This library is free software; you can redistribute it and/or
02429    modify it under the terms of the GNU Lesser General Public
02430    License as published by the Free Software Foundation; either
02431    version 2.1 of the License, or (at your option) any later version.
02432 
02433    This library is distributed in the hope that it will be useful,
02434    but WITHOUT ANY WARRANTY; without even the implied warranty of
02435    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
02436    Lesser General Public License for more details.
02437 
02438    You should have received a copy of the GNU Lesser General Public
02439    License along with this library; if not, write to the Free Software
02440    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
02441 */
02442 
02443 #undef GAN_MATTYPE
02444 #undef GAN_MATRIX_TYPE
02445 #undef GAN_SQUMATRIX_TYPE
02446 #undef GAN_VECTOR_TYPE
02447 #undef GAN_MAT_ELEMENT_TYPE
02448 #undef GAN_REALTYPE
02449 #undef GAN_FWRITE_LENDIAN
02450 #undef GAN_FREAD_LENDIAN
02451 #undef GAN_VECTYPE1
02452 #undef GAN_VECTYPE2
02453 #undef GAN_MATTYPEL
02454 #undef GAN_MATTYPER
02455 #undef GAN_SQUMATTYPEL
02456 #undef GAN_SQUMATTYPER
02457 #undef GAN_FIXED_MATRIX_TYPE
02458 #undef GAN_MAT_FPRINT
02459 #undef GAN_MAT_PRINT
02460 #undef GAN_MAT_FSCANF
02461 #undef GAN_MAT_FWRITE
02462 #undef GAN_MAT_FREAD
02463 #undef GAN_MAT_ZERO_Q
02464 #undef GAN_MAT_ZERO_S
02465 #undef GAN_MAT_COPY_Q
02466 #undef GAN_MAT_COPY_S
02467 #undef GAN_MAT_SCALE_Q
02468 #undef GAN_MAT_SCALE_S
02469 #undef GAN_MAT_SCALE_I
02470 #undef GAN_MAT_DIVIDE_Q
02471 #undef GAN_MAT_DIVIDE_S
02472 #undef GAN_MAT_DIVIDE_I
02473 #undef GAN_MAT_NEGATE_Q
02474 #undef GAN_MAT_NEGATE_S
02475 #undef GAN_MAT_NEGATE_I
02476 #undef GAN_MAT_UNIT_Q
02477 #undef GAN_MAT_UNIT_S
02478 #undef GAN_MAT_UNIT_I
02479 #undef GAN_MAT_ADD_Q
02480 #undef GAN_MAT_ADD_I1
02481 #undef GAN_MAT_ADD_I2
02482 #undef GAN_MAT_INCREMENT
02483 #undef GAN_MAT_ADD_S
02484 #undef GAN_MAT_SUB_Q
02485 #undef GAN_MAT_SUB_I1
02486 #undef GAN_MAT_SUB_I2
02487 #undef GAN_MAT_DECREMENT
02488 #undef GAN_MAT_SUB_S
02489 #undef GAN_VEC_OUTER_Q
02490 #undef GAN_VEC_OUTER_S
02491 #undef GAN_MAT_MULTV_Q
02492 #undef GAN_MAT_MULTV_S
02493 #undef GAN_MAT_MULTV_I
02494 #undef GAN_MATT_MULTV_Q
02495 #undef GAN_MATT_MULTV_S
02496 #undef GAN_MATT_MULTV_I
02497 #undef GAN_MAT_LMULTM_Q
02498 #undef GAN_MAT_LMULTM_S
02499 #undef GAN_MAT_LMULTMT_Q
02500 #undef GAN_MAT_LMULTMT_S
02501 #undef GAN_MAT_RMULTM_Q
02502 #undef GAN_MAT_RMULTM_S
02503 #undef GAN_MAT_RMULTMT_Q
02504 #undef GAN_MAT_RMULTMT_S
02505 #undef GAN_MAT_LMULTMT_SYM_Q
02506 #undef GAN_MAT_LMULTMT_SYM_S
02507 #undef GAN_MAT_RMULTMT_SYM_Q
02508 #undef GAN_MAT_RMULTMT_SYM_S
02509 #undef GAN_MAT_LMULTS_Q
02510 #undef GAN_MAT_LMULTS_S
02511 #undef GAN_MAT_RMULTS_Q
02512 #undef GAN_MAT_RMULTS_S
02513 #undef GAN_SYMMATL_LRMULT_Q
02514 #undef GAN_SYMMATL_LRMULT_S
02515 #undef GAN_SYMMATR_LRMULT_Q
02516 #undef GAN_SYMMATR_LRMULT_S
02517 #undef GAN_MAT_LMULTL_Q
02518 #undef GAN_MAT_LMULTL_S
02519 #undef GAN_MAT_LMULTL_I
02520 #undef GAN_MAT_LMULTLI_Q
02521 #undef GAN_MAT_LMULTLI_S
02522 #undef GAN_MAT_LMULTLI_I
02523 #undef GAN_MAT_LMULTLT_Q
02524 #undef GAN_MAT_LMULTLT_S
02525 #undef GAN_MAT_LMULTLT_I
02526 #undef GAN_MAT_LMULTLIT_Q
02527 #undef GAN_MAT_LMULTLIT_S
02528 #undef GAN_MAT_LMULTLIT_I
02529 #undef GAN_MAT_RMULTL_Q
02530 #undef GAN_MAT_RMULTL_S
02531 #undef GAN_MAT_RMULTL_I
02532 #undef GAN_MAT_RMULTLI_Q
02533 #undef GAN_MAT_RMULTLI_S
02534 #undef GAN_MAT_RMULTLI_I
02535 #undef GAN_MAT_RMULTLT_Q
02536 #undef GAN_MAT_RMULTLT_S
02537 #undef GAN_MAT_RMULTLT_I
02538 #undef GAN_MAT_RMULTLIT_Q
02539 #undef GAN_MAT_RMULTLIT_S
02540 #undef GAN_MAT_RMULTLIT_I
02541 #undef GAN_MAT_SRMULTT_Q
02542 #undef GAN_MAT_SRMULTT_S
02543 #undef GAN_MAT_SRMULTT_I
02544 #undef GAN_MAT_SLMULTT_Q
02545 #undef GAN_MAT_SLMULTT_S
02546 #undef GAN_MAT_SLMULTT_I
02547 #undef GAN_MAT_RMULTLIT_S
02548 #undef GAN_MAT_SUMSQR_Q
02549 #undef GAN_MAT_SUMSQR_S
02550 #undef GAN_MAT_FNORM_Q
02551 #undef GAN_MAT_FNORM_S
02552 #undef GAN_MAT_FROM_MAT_Q
02553 #undef GAN_MAT_FROM_MAT_S
02554 #undef GAN_MAT_FROM_SQUMAT_Q
02555 #undef GAN_MAT_FROM_SQUMAT_S
02556 #undef GAN_SQUMAT_FROM_SQUMAT_Q
02557 #undef GAN_SQUMAT_FROM_SQUMAT_S
02558 
02559 /* declare functions specific to lower triangular 2x2 matrices */
02573 /* This library is free software; you can redistribute it and/or
02574    modify it under the terms of the GNU Lesser General Public
02575    License as published by the Free Software Foundation; either
02576    version 2.1 of the License, or (at your option) any later version.
02577 
02578    This library is distributed in the hope that it will be useful,
02579    but WITHOUT ANY WARRANTY; without even the implied warranty of
02580    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
02581    Lesser General Public License for more details.
02582 
02583    You should have received a copy of the GNU Lesser General Public
02584    License along with this library; if not, write to the Free Software
02585    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
02586 */
02587 
02588 #ifndef _GAN_2X2LTMATF_H
02589 
02605 Gan_SquMatrix22_f *gan_ltmat22f_fill_q ( Gan_SquMatrix22_f *A,
02606                                          float XX, float YX, float YY );
02607 
02613 #endif /* #ifndef _GAN_2X2LTMATF_H */
02614 
02615 #define GAN_MATTYPE Gan_SquMatrix22_f
02616 #define GAN_MATRIX_TYPE Gan_SquMatrix_f
02617 #define GAN_SQUMATRIX_TYPE Gan_SquMatrix_f
02618 #define GAN_VECTOR_TYPE Gan_Vector_f
02619 #define GAN_MAT_ELEMENT_TYPE GAN_FLOAT
02620 #define GAN_REALTYPE float
02621 #define GAN_FWRITE_LENDIAN gan_fwrite_lendian_f32
02622 #define GAN_FREAD_LENDIAN  gan_fread_lendian_f32
02623 #define GAN_VECTYPE1 Gan_Vector2_f
02624 #define GAN_VECTYPE2 Gan_Vector2_f
02625 #define GAN_SQUMATTYPEL Gan_SquMatrix22_f
02626 #define GAN_SQUMATTYPER Gan_SquMatrix22_f
02627 #define GAN_FIXED_MATRIX_TYPE GAN_LOWER_TRI_MATRIX22_F
02628 #define GAN_MAT_FPRINT     gan_ltmat22f_fprint
02629 #define GAN_MAT_PRINT      gan_ltmat22f_print
02630 #define GAN_MAT_FSCANF     gan_ltmat22f_fscanf
02631 #define GAN_MAT_FWRITE     gan_ltmat22f_fwrite
02632 #define GAN_MAT_FREAD      gan_ltmat22f_fread
02633 #define GAN_MAT_ZERO_Q     gan_ltmat22f_zero_q
02634 #define GAN_MAT_ZERO_S     gan_ltmat22f_zero_s
02635 #define GAN_MAT_COPY_Q     gan_ltmat22f_copy_q
02636 #define GAN_MAT_COPY_S     gan_ltmat22f_copy_s
02637 #define GAN_MAT_SCALE_Q    gan_ltmat22f_scale_q
02638 #define GAN_MAT_SCALE_S    gan_ltmat22f_scale_s
02639 #define GAN_MAT_SCALE_I    gan_ltmat22f_scale_i
02640 #define GAN_MAT_DIVIDE_Q   gan_ltmat22f_divide_q
02641 #define GAN_MAT_DIVIDE_S   gan_ltmat22f_divide_s
02642 #define GAN_MAT_DIVIDE_I   gan_ltmat22f_divide_i
02643 #define GAN_MAT_NEGATE_Q   gan_ltmat22f_negate_q
02644 #define GAN_MAT_NEGATE_S   gan_ltmat22f_negate_s
02645 #define GAN_MAT_NEGATE_I   gan_ltmat22f_negate_i
02646 #define GAN_MAT_UNIT_Q     gan_ltmat22f_unit_q
02647 #define GAN_MAT_UNIT_S     gan_ltmat22f_unit_s
02648 #define GAN_MAT_UNIT_I     gan_ltmat22f_unit_i
02649 #define GAN_MAT_ADD_Q      gan_ltmat22f_add_q
02650 #define GAN_MAT_ADD_I1     gan_ltmat22f_add_i1
02651 #define GAN_MAT_ADD_I2     gan_ltmat22f_add_i2
02652 #define GAN_MAT_INCREMENT  gan_ltmat22f_increment
02653 #define GAN_MAT_ADD_S      gan_ltmat22f_add_s
02654 #define GAN_MAT_SUB_Q      gan_ltmat22f_sub_q
02655 #define GAN_MAT_SUB_I1     gan_ltmat22f_sub_i1
02656 #define GAN_MAT_SUB_I2     gan_ltmat22f_sub_i2
02657 #define GAN_MAT_DECREMENT  gan_ltmat22f_decrement
02658 #define GAN_MAT_SUB_S      gan_ltmat22f_sub_s
02659 #define GAN_MAT_MULTV_Q    gan_ltmat22f_multv2_q
02660 #define GAN_MAT_MULTV_S    gan_ltmat22f_multv2_s
02661 #define GAN_MAT_MULTV_I    gan_ltmat22f_multv2_i
02662 #define GAN_MATT_MULTV_Q   gan_ltmat22Tf_multv2_q
02663 #define GAN_MATT_MULTV_S   gan_ltmat22Tf_multv2_s
02664 #define GAN_MATT_MULTV_I   gan_ltmat22Tf_multv2_i
02665 #define GAN_MAT_SRMULTT_Q  gan_ltmat22f_srmultT_q
02666 #define GAN_MAT_SRMULTT_S  gan_ltmat22f_srmultT_s
02667 #define GAN_MAT_SRMULTT_I  gan_ltmat22f_srmultT_i
02668 #define GAN_MAT_SLMULTT_Q  gan_ltmat22f_slmultT_q
02669 #define GAN_MAT_SLMULTT_S  gan_ltmat22f_slmultT_s
02670 #define GAN_MAT_SLMULTT_I  gan_ltmat22f_slmultT_i
02671 #define GAN_MAT_SUMSQR_Q   gan_ltmat22f_sumsqr_q
02672 #define GAN_MAT_SUMSQR_S   gan_ltmat22f_sumsqr_s
02673 #define GAN_MAT_FNORM_Q    gan_ltmat22f_Fnorm_q
02674 #define GAN_MAT_FNORM_S    gan_ltmat22f_Fnorm_s
02675 
02676 #define GAN_SQUMAT_IDENT_Q    gan_ltmat22f_ident_q
02677 #define GAN_SQUMAT_IDENT_S    gan_ltmat22f_ident_s
02678 #define GAN_SQUMATI_MULTV_Q   gan_ltmat22If_multv2_q
02679 #define GAN_SQUMATI_MULTV_S   gan_ltmat22If_multv2_s
02680 #define GAN_SQUMATI_MULTV_I   gan_ltmat22If_multv2_i
02681 #define GAN_SQUMATIT_MULTV_Q  gan_ltmat22ITf_multv2_q
02682 #define GAN_SQUMATIT_MULTV_S  gan_ltmat22ITf_multv2_s
02683 #define GAN_SQUMATIT_MULTV_I  gan_ltmat22ITf_multv2_i
02684 #define GAN_SQUMAT_INVERT     gan_ltmat22f_invert
02685 #define GAN_SQUMAT_INVERT_Q   gan_ltmat22f_invert_q
02686 #define GAN_SQUMAT_INVERT_S   gan_ltmat22f_invert_s
02687 #define GAN_SQUMAT_INVERT_I   gan_ltmat22f_invert_i
02688 #define GAN_SQUMAT_DET_Q      gan_ltmat22f_det_q
02689 #define GAN_SQUMAT_DET_S      gan_ltmat22f_det_s
02690 #define GAN_SQUMAT_TRACE_Q    gan_ltmat22f_trace_q
02691 #define GAN_SQUMAT_TRACE_S    gan_ltmat22f_trace_s
02692 
02693 #ifndef _GAN_2X2LTMATF_H
02694 #define _GAN_2X2LTMATF_H
02695 
02696 
02697 #endif /* #ifndef _GAN_2X2LTMATF_H */
02698 
02711 /* This library is free software; you can redistribute it and/or
02712    modify it under the terms of the GNU Lesser General Public
02713    License as published by the Free Software Foundation; either
02714    version 2.1 of the License, or (at your option) any later version.
02715 
02716    This library is distributed in the hope that it will be useful,
02717    but WITHOUT ANY WARRANTY; without even the implied warranty of
02718    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
02719    Lesser General Public License for more details.
02720 
02721    You should have received a copy of the GNU Lesser General Public
02722    License along with this library; if not, write to the Free Software
02723    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
02724 */
02725 
02726 /* function declarations for functions common to all small square matrix
02727  * types */
02728 
02729 
02730 
02731 /* documentation for macros defined in individual header files */
02732 
02745 Gan_SquMatrix22_f *gan_ltmat22f_ident_q ( Gan_SquMatrix22_f *A );
02746 
02784 Gan_Vector2_f *gan_ltmat22If_multv2_q ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p,
02785                                     Gan_Vector2_f *q );
02786 
02795 Gan_Vector2_f *gan_ltmat22If_multv2_i ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p );
02796 
02805 Gan_Vector2_f *gan_ltmat22ITf_multv2_q ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p,
02806                                      Gan_Vector2_f *q );
02807 
02816 Gan_Vector2_f *gan_ltmat22ITf_multv2_i ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p );
02817 
02835 Gan_SquMatrix22_f *gan_ltmat22f_invert_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02836 
02845 Gan_SquMatrix22_f *gan_ltmat22f_invert_i ( Gan_SquMatrix22_f *A );
02846 
02861 float gan_ltmat22f_det_q ( const Gan_SquMatrix22_f *A );
02862 
02868 float gan_ltmat22f_trace_q ( const Gan_SquMatrix22_f *A );
02869 
02875 #undef GAN_SQUMAT_IDENT_Q
02876 #undef GAN_SQUMAT_IDENT_S
02877 #undef GAN_SQUMAT_TPOSE_Q
02878 #undef GAN_SQUMAT_TPOSE_S
02879 #undef GAN_SQUMAT_TPOSE_I
02880 #undef GAN_MAT_SADDT_Q
02881 #undef GAN_MAT_SADDT_S
02882 #undef GAN_SQUMATI_MULTV_Q
02883 #undef GAN_SQUMATI_MULTV_S
02884 #undef GAN_SQUMATI_MULTV_I
02885 #undef GAN_SQUMATIT_MULTV_Q
02886 #undef GAN_SQUMATIT_MULTV_S
02887 #undef GAN_SQUMATIT_MULTV_I
02888 #undef GAN_SQUMAT_INVERT
02889 #undef GAN_SQUMAT_INVERT_Q
02890 #undef GAN_SQUMAT_INVERT_S
02891 #undef GAN_SQUMAT_INVERT_I
02892 #undef GAN_SQUMAT_ADJOINT_Q
02893 #undef GAN_SQUMAT_ADJOINT_S
02894 #undef GAN_SQUMAT_ADJOINTT_Q
02895 #undef GAN_SQUMAT_ADJOINTT_S
02896 #undef GAN_SQUMAT_DET_Q
02897 #undef GAN_SQUMAT_DET_S
02898 #undef GAN_SQUMAT_TRACE_Q
02899 #undef GAN_SQUMAT_TRACE_S
02900 
02913 /* This library is free software; you can redistribute it and/or
02914    modify it under the terms of the GNU Lesser General Public
02915    License as published by the Free Software Foundation; either
02916    version 2.1 of the License, or (at your option) any later version.
02917 
02918    This library is distributed in the hope that it will be useful,
02919    but WITHOUT ANY WARRANTY; without even the implied warranty of
02920    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
02921    Lesser General Public License for more details.
02922 
02923    You should have received a copy of the GNU Lesser General Public
02924    License along with this library; if not, write to the Free Software
02925    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
02926 */
02927 
02928 /* function declarations for functions common to all small vector types */
02929 
02930 
02931 
02932 /* documentation for macros defined in individual header files */
02933 
02944 Gan_SquMatrix22_f *gan_ltmat22f_zero_q ( const Gan_SquMatrix22_f *A );
02945 
02962 Gan_SquMatrix22_f *gan_ltmat22f_copy_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
02963 
02981 Gan_SquMatrix22_f *gan_ltmat22f_scale_q ( Gan_SquMatrix22_f *A, float a,
02982                                Gan_SquMatrix22_f *B );
02983 
02991 Gan_SquMatrix22_f *gan_ltmat22f_scale_i ( Gan_SquMatrix22_f *A, float a );
02992 
03001 Gan_SquMatrix22_f *gan_ltmat22f_divide_q ( Gan_SquMatrix22_f *A, float a,
03002                                 Gan_SquMatrix22_f *B );
03003 
03011 Gan_SquMatrix22_f *gan_ltmat22f_divide_i ( Gan_SquMatrix22_f *A, float a );
03012 
03020 Gan_SquMatrix22_f *gan_ltmat22f_negate_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03021 
03029 Gan_SquMatrix22_f *gan_ltmat22f_negate_i ( Gan_SquMatrix22_f *A );
03030 
03038 Gan_SquMatrix22_f *gan_ltmat22f_unit_i ( Gan_SquMatrix22_f *A );
03039 
03057 Gan_SquMatrix22_f *gan_ltmat22f_add_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B, Gan_SquMatrix22_f *C );
03058 
03067 Gan_SquMatrix22_f *gan_ltmat22f_add_i1 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03068 
03077 Gan_SquMatrix22_f *gan_ltmat22f_add_i2 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03078 
03087 Gan_SquMatrix22_f *gan_ltmat22f_increment ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03088 
03106 Gan_SquMatrix22_f *gan_ltmat22f_sub_q ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B, Gan_SquMatrix22_f *C );
03107 
03116 Gan_SquMatrix22_f *gan_ltmat22f_sub_i1 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03117 
03126 Gan_SquMatrix22_f *gan_ltmat22f_sub_i2 ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03127 
03136 Gan_SquMatrix22_f *gan_ltmat22f_decrement ( Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03137 
03156 Gan_Vector2_f *gan_ltmat22f_multv2_q ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p,
03157                                 Gan_Vector2_f *q );
03158 
03167 Gan_Vector2_f *gan_ltmat22f_multv2_i ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p );
03168 
03177 Gan_Vector2_f *gan_ltmat22Tf_multv2_q ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p,
03178                                  Gan_Vector2_f *q );
03179 
03188 Gan_Vector2_f *gan_ltmat22Tf_multv2_i ( const Gan_SquMatrix22_f *A, Gan_Vector2_f *p );
03189 
03251 Gan_SquMatrix22_f *gan_ltmat22f_slmultT_q ( Gan_SquMatrix22_f *A, const Gan_SquMatrix22_f *B );
03252 
03262 Gan_SquMatrix22_f *gan_ltmat22f_slmultT_i ( Gan_SquMatrix22_f *A );
03263 
03272 Gan_SquMatrix22_f *gan_ltmat22f_srmultT_q ( const Gan_SquMatrix22_f *A, Gan_SquMatrix22_f *B );
03273 
03283 Gan_SquMatrix22_f *gan_ltmat22f_srmultT_i ( Gan_SquMatrix22_f *A );
03284 
03299 float gan_ltmat22f_sumsqr_q ( const Gan_SquMatrix22_f *A );
03300 
03307 float gan_ltmat22f_Fnorm_q ( const Gan_SquMatrix22_f *A );
03308 
03339 /* This library is free software; you can redistribute it and/or
03340    modify it under the terms of the GNU Lesser General Public
03341    License as published by the Free Software Foundation; either
03342    version 2.1 of the License, or (at your option) any later version.
03343 
03344    This library is distributed in the hope that it will be useful,
03345    but WITHOUT ANY WARRANTY; without even the implied warranty of
03346    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
03347    Lesser General Public License for more details.
03348 
03349    You should have received a copy of the GNU Lesser General Public
03350    License along with this library; if not, write to the Free Software
03351    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
03352 */
03353 
03354 #undef GAN_MATTYPE
03355 #undef GAN_MATRIX_TYPE
03356 #undef GAN_SQUMATRIX_TYPE
03357 #undef GAN_VECTOR_TYPE
03358 #undef GAN_MAT_ELEMENT_TYPE
03359 #undef GAN_REALTYPE
03360 #undef GAN_FWRITE_LENDIAN
03361 #undef GAN_FREAD_LENDIAN
03362 #undef GAN_VECTYPE1
03363 #undef GAN_VECTYPE2
03364 #undef GAN_MATTYPEL
03365 #undef GAN_MATTYPER
03366 #undef GAN_SQUMATTYPEL
03367 #undef GAN_SQUMATTYPER
03368 #undef GAN_FIXED_MATRIX_TYPE
03369 #undef GAN_MAT_FPRINT
03370 #undef GAN_MAT_PRINT
03371 #undef GAN_MAT_FSCANF
03372 #undef GAN_MAT_FWRITE
03373 #undef GAN_MAT_FREAD
03374 #undef GAN_MAT_ZERO_Q
03375 #undef GAN_MAT_ZERO_S
03376 #undef GAN_MAT_COPY_Q
03377 #undef GAN_MAT_COPY_S
03378 #undef GAN_MAT_SCALE_Q
03379 #undef GAN_MAT_SCALE_S
03380 #undef GAN_MAT_SCALE_I
03381 #undef GAN_MAT_DIVIDE_Q
03382 #undef GAN_MAT_DIVIDE_S
03383 #undef GAN_MAT_DIVIDE_I
03384 #undef GAN_MAT_NEGATE_Q
03385 #undef GAN_MAT_NEGATE_S
03386 #undef GAN_MAT_NEGATE_I
03387 #undef GAN_MAT_UNIT_Q
03388 #undef GAN_MAT_UNIT_S
03389 #undef GAN_MAT_UNIT_I
03390 #undef GAN_MAT_ADD_Q
03391 #undef GAN_MAT_ADD_I1
03392 #undef GAN_MAT_ADD_I2
03393 #undef GAN_MAT_INCREMENT
03394 #undef GAN_MAT_ADD_S
03395 #undef GAN_MAT_SUB_Q
03396 #undef GAN_MAT_SUB_I1
03397 #undef GAN_MAT_SUB_I2
03398 #undef GAN_MAT_DECREMENT
03399 #undef GAN_MAT_SUB_S
03400 #undef GAN_VEC_OUTER_Q
03401 #undef GAN_VEC_OUTER_S
03402 #undef GAN_MAT_MULTV_Q
03403 #undef GAN_MAT_MULTV_S
03404 #undef GAN_MAT_MULTV_I
03405 #undef GAN_MATT_MULTV_Q
03406 #undef GAN_MATT_MULTV_S
03407 #undef GAN_MATT_MULTV_I
03408 #undef GAN_MAT_LMULTM_Q
03409 #undef GAN_MAT_LMULTM_S
03410 #undef GAN_MAT_LMULTMT_Q
03411 #undef GAN_MAT_LMULTMT_S
03412 #undef GAN_MAT_RMULTM_Q
03413 #undef GAN_MAT_RMULTM_S
03414 #undef GAN_MAT_RMULTMT_Q
03415 #undef GAN_MAT_RMULTMT_S
03416 #undef GAN_MAT_LMULTMT_SYM_Q
03417 #undef GAN_MAT_LMULTMT_SYM_S
03418 #undef GAN_MAT_RMULTMT_SYM_Q
03419 #undef GAN_MAT_RMULTMT_SYM_S
03420 #undef GAN_MAT_LMULTS_Q
03421 #undef GAN_MAT_LMULTS_S
03422 #undef GAN_MAT_RMULTS_Q
03423 #undef GAN_MAT_RMULTS_S
03424 #undef GAN_SYMMATL_LRMULT_Q
03425 #undef GAN_SYMMATL_LRMULT_S
03426 #undef GAN_SYMMATR_LRMULT_Q
03427 #undef GAN_SYMMATR_LRMULT_S
03428 #undef GAN_MAT_LMULTL_Q
03429 #undef GAN_MAT_LMULTL_S
03430 #undef GAN_MAT_LMULTL_I
03431 #undef GAN_MAT_LMULTLI_Q
03432 #undef GAN_MAT_LMULTLI_S
03433 #undef GAN_MAT_LMULTLI_I
03434 #undef GAN_MAT_LMULTLT_Q
03435 #undef GAN_MAT_LMULTLT_S
03436 #undef GAN_MAT_LMULTLT_I
03437 #undef GAN_MAT_LMULTLIT_Q
03438 #undef GAN_MAT_LMULTLIT_S
03439 #undef GAN_MAT_LMULTLIT_I
03440 #undef GAN_MAT_RMULTL_Q
03441 #undef GAN_MAT_RMULTL_S
03442 #undef GAN_MAT_RMULTL_I
03443 #undef GAN_MAT_RMULTLI_Q
03444 #undef GAN_MAT_RMULTLI_S
03445 #undef GAN_MAT_RMULTLI_I
03446 #undef GAN_MAT_RMULTLT_Q
03447 #undef GAN_MAT_RMULTLT_S
03448 #undef GAN_MAT_RMULTLT_I
03449 #undef GAN_MAT_RMULTLIT_Q
03450 #undef GAN_MAT_RMULTLIT_S
03451 #undef GAN_MAT_RMULTLIT_I
03452 #undef GAN_MAT_SRMULTT_Q
03453 #undef GAN_MAT_SRMULTT_S
03454 #undef GAN_MAT_SRMULTT_I
03455 #undef GAN_MAT_SLMULTT_Q
03456 #undef GAN_MAT_SLMULTT_S
03457 #undef GAN_MAT_SLMULTT_I
03458 #undef GAN_MAT_RMULTLIT_S
03459 #undef GAN_MAT_SUMSQR_Q
03460 #undef GAN_MAT_SUMSQR_S
03461 #undef GAN_MAT_FNORM_Q
03462 #undef GAN_MAT_FNORM_S
03463 #undef GAN_MAT_FROM_MAT_Q
03464 #undef GAN_MAT_FROM_MAT_S
03465 #undef GAN_MAT_FROM_SQUMAT_Q
03466 #undef GAN_MAT_FROM_SQUMAT_S
03467 #undef GAN_SQUMAT_FROM_SQUMAT_Q
03468 #undef GAN_SQUMAT_FROM_SQUMAT_S
03469 
03470 /* declare functions specific to upper triangular 2x2 matrices */
03484 #define GAN_MATTYPE Gan_SquMatrix22_f
03485 #define GAN_MATRIX_TYPE Gan_SquMatrix_f
03486 #define GAN_SQUMATRIX_TYPE Gan_SquMatrix_f
03487 #define GAN_VECTOR_TYPE Gan_Vector_f
03488 #define GAN_MAT_ELEMENT_TYPE GAN_FLOAT
03489 #define GAN_REALTYPE float
03490 #define GAN_MAT_FPRINT   gan_ltmat22Tf_fprint
03491 #define GAN_MAT_PRINT    gan_ltmat22Tf_print
03492 #define GAN_MAT_FSCANF   gan_ltmat22Tf_fscanf
03493 #define GAN_FIXED_MATRIX_TYPE GAN_LOWER_TRI_MATRIX22_F
03494 
03495 #define gan_ltmat22Tf_fwrite gan_ltmat22f_fwrite
03496 #define gan_ltmat22Tf_fread  gan_ltmat22f_fread
03497 
03510 /* This library is free software; you can redistribute it and/or
03511    modify it under the terms of the GNU Lesser General Public
03512    License as published by the Free Software Foundation; either
03513    version 2.1 of the License, or (at your option) any later version.
03514 
03515    This library is distributed in the hope that it will be useful,
03516    but WITHOUT ANY WARRANTY; without even the implied warranty of
03517    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
03518    Lesser General Public License for more details.
03519 
03520    You should have received a copy of the GNU Lesser General Public
03521    License along with this library; if not, write to the Free Software
03522    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
03523 */
03524 
03525 /* function declarations for functions common to all small square matrix
03526  * types */
03527 
03528 
03529 
03530 /* documentation for macros defined in individual header files */
03531 
03598 #undef GAN_SQUMAT_IDENT_Q
03599 #undef GAN_SQUMAT_IDENT_S
03600 #undef GAN_SQUMAT_TPOSE_Q
03601 #undef GAN_SQUMAT_TPOSE_S
03602 #undef GAN_SQUMAT_TPOSE_I
03603 #undef GAN_MAT_SADDT_Q
03604 #undef GAN_MAT_SADDT_S
03605 #undef GAN_SQUMATI_MULTV_Q
03606 #undef GAN_SQUMATI_MULTV_S
03607 #undef GAN_SQUMATI_MULTV_I
03608 #undef GAN_SQUMATIT_MULTV_Q
03609 #undef GAN_SQUMATIT_MULTV_S
03610 #undef GAN_SQUMATIT_MULTV_I
03611 #undef GAN_SQUMAT_INVERT
03612 #undef GAN_SQUMAT_INVERT_Q
03613 #undef GAN_SQUMAT_INVERT_S
03614 #undef GAN_SQUMAT_INVERT_I
03615 #undef GAN_SQUMAT_ADJOINT_Q
03616 #undef GAN_SQUMAT_ADJOINT_S
03617 #undef GAN_SQUMAT_ADJOINTT_Q
03618 #undef GAN_SQUMAT_ADJOINTT_S
03619 #undef GAN_SQUMAT_DET_Q
03620 #undef GAN_SQUMAT_DET_S
03621 #undef GAN_SQUMAT_TRACE_Q
03622 #undef GAN_SQUMAT_TRACE_S
03623 
03636 /* This library is free software; you can redistribute it and/or
03637    modify it under the terms of the GNU Lesser General Public
03638    License as published by the Free Software Foundation; either
03639    version 2.1 of the License, or (at your option) any later version.
03640 
03641    This library is distributed in the hope that it will be useful,
03642    but WITHOUT ANY WARRANTY; without even the implied warranty of
03643    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
03644    Lesser General Public License for more details.
03645 
03646    You should have received a copy of the GNU Lesser General Public
03647    License along with this library; if not, write to the Free Software
03648    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
03649 */
03650 
03651 /* function declarations for functions common to all small vector types */
03652 
03653 
03654 
03655 /* documentation for macros defined in individual header files */
03656 
03827 /* This library is free software; you can redistribute it and/or
03828    modify it under the terms of the GNU Lesser General Public
03829    License as published by the Free Software Foundation; either
03830    version 2.1 of the License, or (at your option) any later version.
03831 
03832    This library is distributed in the hope that it will be useful,
03833    but WITHOUT ANY WARRANTY; without even the implied warranty of
03834    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
03835    Lesser General Public License for more details.
03836 
03837    You should have received a copy of the GNU Lesser General Public
03838    License along with this library; if not, write to the Free Software
03839    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
03840 */
03841 
03842 #undef GAN_MATTYPE
03843 #undef GAN_MATRIX_TYPE
03844 #undef GAN_SQUMATRIX_TYPE
03845 #undef GAN_VECTOR_TYPE
03846 #undef GAN_MAT_ELEMENT_TYPE
03847 #undef GAN_REALTYPE
03848 #undef GAN_FWRITE_LENDIAN
03849 #undef GAN_FREAD_LENDIAN
03850 #undef GAN_VECTYPE1
03851 #undef GAN_VECTYPE2
03852 #undef GAN_MATTYPEL
03853 #undef GAN_MATTYPER
03854 #undef GAN_SQUMATTYPEL
03855 #undef GAN_SQUMATTYPER
03856 #undef GAN_FIXED_MATRIX_TYPE
03857 #undef GAN_MAT_FPRINT
03858 #undef GAN_MAT_PRINT
03859 #undef GAN_MAT_FSCANF
03860 #undef GAN_MAT_FWRITE
03861 #undef GAN_MAT_FREAD
03862 #undef GAN_MAT_ZERO_Q
03863 #undef GAN_MAT_ZERO_S
03864 #undef GAN_MAT_COPY_Q
03865 #undef GAN_MAT_COPY_S
03866 #undef GAN_MAT_SCALE_Q
03867 #undef GAN_MAT_SCALE_S
03868 #undef GAN_MAT_SCALE_I
03869 #undef GAN_MAT_DIVIDE_Q
03870 #undef GAN_MAT_DIVIDE_S
03871 #undef GAN_MAT_DIVIDE_I
03872 #undef GAN_MAT_NEGATE_Q
03873 #undef GAN_MAT_NEGATE_S
03874 #undef GAN_MAT_NEGATE_I
03875 #undef GAN_MAT_UNIT_Q
03876 #undef GAN_MAT_UNIT_S
03877 #undef GAN_MAT_UNIT_I
03878 #undef GAN_MAT_ADD_Q
03879 #undef GAN_MAT_ADD_I1
03880 #undef GAN_MAT_ADD_I2
03881 #undef GAN_MAT_INCREMENT
03882 #undef GAN_MAT_ADD_S
03883 #undef GAN_MAT_SUB_Q
03884 #undef GAN_MAT_SUB_I1
03885 #undef GAN_MAT_SUB_I2
03886 #undef GAN_MAT_DECREMENT
03887 #undef GAN_MAT_SUB_S
03888 #undef GAN_VEC_OUTER_Q
03889 #undef GAN_VEC_OUTER_S
03890 #undef GAN_MAT_MULTV_Q
03891 #undef GAN_MAT_MULTV_S
03892 #undef GAN_MAT_MULTV_I
03893 #undef GAN_MATT_MULTV_Q
03894 #undef GAN_MATT_MULTV_S
03895 #undef GAN_MATT_MULTV_I
03896 #undef GAN_MAT_LMULTM_Q
03897 #undef GAN_MAT_LMULTM_S
03898 #undef GAN_MAT_LMULTMT_Q
03899 #undef GAN_MAT_LMULTMT_S
03900 #undef GAN_MAT_RMULTM_Q
03901 #undef GAN_MAT_RMULTM_S
03902 #undef GAN_MAT_RMULTMT_Q
03903 #undef GAN_MAT_RMULTMT_S
03904 #undef GAN_MAT_LMULTMT_SYM_Q
03905 #undef GAN_MAT_LMULTMT_SYM_S
03906 #undef GAN_MAT_RMULTMT_SYM_Q
03907 #undef GAN_MAT_RMULTMT_SYM_S
03908 #undef GAN_MAT_LMULTS_Q
03909 #undef GAN_MAT_LMULTS_S
03910 #undef GAN_MAT_RMULTS_Q
03911 #undef GAN_MAT_RMULTS_S
03912 #undef GAN_SYMMATL_LRMULT_Q
03913 #undef GAN_SYMMATL_LRMULT_S
03914 #undef GAN_SYMMATR_LRMULT_Q
03915 #undef GAN_SYMMATR_LRMULT_S
03916 #undef GAN_MAT_LMULTL_Q
03917 #undef GAN_MAT_LMULTL_S
03918 #undef GAN_MAT_LMULTL_I
03919 #undef GAN_MAT_LMULTLI_Q
03920 #undef GAN_MAT_LMULTLI_S
03921 #undef GAN_MAT_LMULTLI_I
03922 #undef GAN_MAT_LMULTLT_Q
03923 #undef GAN_MAT_LMULTLT_S
03924 #undef GAN_MAT_LMULTLT_I
03925 #undef GAN_MAT_LMULTLIT_Q
03926 #undef GAN_MAT_LMULTLIT_S
03927 #undef GAN_MAT_LMULTLIT_I
03928 #undef GAN_MAT_RMULTL_Q
03929 #undef GAN_MAT_RMULTL_S
03930 #undef GAN_MAT_RMULTL_I
03931 #undef GAN_MAT_RMULTLI_Q
03932 #undef GAN_MAT_RMULTLI_S
03933 #undef GAN_MAT_RMULTLI_I
03934 #undef GAN_MAT_RMULTLT_Q
03935 #undef GAN_MAT_RMULTLT_S
03936 #undef GAN_MAT_RMULTLT_I
03937 #undef GAN_MAT_RMULTLIT_Q
03938 #undef GAN_MAT_RMULTLIT_S
03939 #undef GAN_MAT_RMULTLIT_I
03940 #undef GAN_MAT_SRMULTT_Q
03941 #undef GAN_MAT_SRMULTT_S
03942 #undef GAN_MAT_SRMULTT_I
03943 #undef GAN_MAT_SLMULTT_Q
03944 #undef GAN_MAT_SLMULTT_S
03945 #undef GAN_MAT_SLMULTT_I
03946 #undef GAN_MAT_RMULTLIT_S
03947 #undef GAN_MAT_SUMSQR_Q
03948 #undef GAN_MAT_SUMSQR_S
03949 #undef GAN_MAT_FNORM_Q
03950 #undef GAN_MAT_FNORM_S
03951 #undef GAN_MAT_FROM_MAT_Q
03952 #undef GAN_MAT_FROM_MAT_S
03953 #undef GAN_MAT_FROM_SQUMAT_Q
03954 #undef GAN_MAT_FROM_SQUMAT_S
03955 #undef GAN_SQUMAT_FROM_SQUMAT_Q
03956 #undef GAN_SQUMAT_FROM_SQUMAT_S
03957 
03966 #ifdef __cplusplus
03967 }
03968 #endif
03969 
03970 #endif /* #ifndef _GAN_2X2MATRIXF_H */

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