/*************************************************************************************************************************************/
/* */
/* A P P L I C A T I O N D E L A T R A N S F O R M A T I O N C O N F O R M E Q * * 2 */
/* D A N S L E P L A N H Y P E R - C O M P L E X E : */
/* */
/* */
/* Definition : */
/* */
/* Cette commande genere une image */
/* dont le nom est le premier argument */
/* d'appel ; elle est le resultat de */
/* la transformation de la deuxieme */
/* image par la transformation q --> q**2. */
/* */
/* */
/* Author of '$xci/q_carre.41$K' : */
/* */
/* Jean-Francois COLONNA (LACTAMME, 20070116152927). */
/* */
/*************************************************************************************************************************************/
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* I N T E R F A C E ' listG ' : */
/* */
/* */
/* :Debut_listG: */
/* :Fin_listG: */
/* */
/*************************************************************************************************************************************/
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* D I R E C T I V E S S P E C I F I Q U E S D E C O M P I L A T I O N : */
/* */
/*************************************************************************************************************************************/
#define GENERER_LES_GET_ARGUMENTS_DE_CONTROLE_DE_L_ARITHMETIQUE_ETENDUE_DES_NOMBRES_FLOTTANTS
/* Introduit le 20070127131931... */
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* F I C H I E R S D ' I N C L U D E S : */
/* */
/*************************************************************************************************************************************/
#include INCLUDES_BASE
#include image_image_IMAGESF_EXT
#include maths_compl_fonct_CONFORMES_EXT
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* P A R A M E T R E S : */
/* */
/*************************************************************************************************************************************/
#include xci/coordonne.01.I"
/* Introduit le 20050912130029... */
#define TRAVAILLER_DANS_LE_PLAN_HYPER_IMAGE \
VRAI \
/* Indique s'il faut travailler dans le plan image ('VRAI') ou bien dans le plan */ \
/* hyper-complexe ('FAUX'). */
#define FACTEUR \
PARE(0.010) \
/* Facteur multiplicatif lorsqu'il faut 'TRAVAILLER_DANS_LE_PLAN_HYPER_IMAGE'. Dans le cas */ \
/* contraire, on pourra prendre une valeur proche de '5.0', c'est a dire la valeur */ \
/* precedente 'FACTEUR' multipliee par 'CHOI(dimX,dimY)'... */
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* M A C R O S U T I L E S : */
/* */
/*************************************************************************************************************************************/
/*===================================================================================================================================*/
/*************************************************************************************************************************************/
/* */
/* A P P L I C A T I O N D E L A T R A N S F O R M A T I O N C O N F O R M E Q * * 2 */
/* D A N S L E P L A N H Y P E R - C O M P L E X E : */
/* */
/*************************************************************************************************************************************/
BCommande(nombre_d_arguments,arguments)
/*-----------------------------------------------------------------------------------------------------------------------------------*/
Bblock
#include xci/coordonne.02.I"
/* Introduit le 20050912130029... */
DEFV(CHAR,INIC(POINTERc(nom_imageR),NOM_PIPE));
DEFV(CHAR,INIC(POINTERc(nom_imageA),NOM_PIPE));
DEFV(Logical,INIT(travailler_dans_le_plan_hyper_image,TRAVAILLER_DANS_LE_PLAN_HYPER_IMAGE));
/* Indique s'il faut travailler dans le plan image ('VRAI') ou bien dans le plan */
/* hyper-complexe ('FAUX'). */
DEFV(Float,INIT(facteur,FACTEUR));
/* Facteur multiplicatif. */
DEFV(deltaF_2D,Atranslation);
/* Translation de l'image Argument, */
DEFV(deltaF_2D,Rtranslation);
/* Translation de l'image Resultat. */
/*..............................................................................................................................*/
#include xci/coordonne.04.I"
/* Ceci a ete introduit le 20051218183445... */
GET_ARGUMENTSi(nombre_d_arguments
,BLOC(GET_ARGUMENT_C("imageA=""A=",nom_imageA);
GET_ARGUMENT_C("imageR=""R=",nom_imageR);
GET_ARGUMENT_L("standard=",les_images_sont_standards);
GET_ARGUMENT_L("plan_image=""plan_hyper_image=""image=",travailler_dans_le_plan_hyper_image);
GET_ARGUMENT_N("plan_hyper_complexe=""plan_complexe=""hyper_complexe=""complexe="
,travailler_dans_le_plan_hyper_image
);
GET_ARGUMENT_F("facteur=",facteur);
GET_ARGUMENTS4_F("phi_m1_RR=""Fphc_m1_RR=""phc_m1_RR=""Fphi_m1_RR=""ph_m1_RR=""m1_RR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_RR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_RR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RR
);
GET_ARGUMENTS4_F("phi_m1_RI=""Fphc_m1_RI=""phc_m1_RI=""Fphi_m1_RI=""ph_m1_RI=""m1_RI="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_RI
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_RI
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RI
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RI
);
GET_ARGUMENTS4_F("phi_m1_RJ=""Fphc_m1_RJ=""phc_m1_RJ=""Fphi_m1_RJ=""ph_m1_RJ=""m1_RJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_RJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_RJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RJ
);
GET_ARGUMENTS4_F("phi_m1_RK=""Fphc_m1_RK=""phc_m1_RK=""Fphi_m1_RK=""ph_m1_RK=""m1_RK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_RK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_RK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_RK
);
GET_ARGUMENTS4_F("phi_m1_IR=""Fphc_m1_IR=""phc_m1_IR=""Fphi_m1_IR=""ph_m1_IR=""m1_IR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_IR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_IR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IR
);
GET_ARGUMENTS4_F("phi_m1_II=""Fphc_m1_II=""phc_m1_II=""Fphi_m1_II=""ph_m1_II=""m1_II="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_II
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_II
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_II
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_II
);
GET_ARGUMENTS4_F("phi_m1_IJ=""Fphc_m1_IJ=""phc_m1_IJ=""Fphi_m1_IJ=""ph_m1_IJ=""m1_IJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_IJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_IJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IJ
);
GET_ARGUMENTS4_F("phi_m1_IK=""Fphc_m1_IK=""phc_m1_IK=""Fphi_m1_IK=""ph_m1_IK=""m1_IK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_IK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_IK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_IK
);
GET_ARGUMENTS4_F("phi_m1_JR=""Fphc_m1_JR=""phc_m1_JR=""Fphi_m1_JR=""ph_m1_JR=""m1_JR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_JR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_JR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JR
);
GET_ARGUMENTS4_F("phi_m1_JI=""Fphc_m1_JI=""phc_m1_JI=""Fphi_m1_JI=""ph_m1_JI=""m1_JI="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_JI
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_JI
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JI
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JI
);
GET_ARGUMENTS4_F("phi_m1_JJ=""Fphc_m1_JJ=""phc_m1_JJ=""Fphi_m1_JJ=""ph_m1_JJ=""m1_JJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_JJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_JJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JJ
);
GET_ARGUMENTS4_F("phi_m1_JK=""Fphc_m1_JK=""phc_m1_JK=""Fphi_m1_JK=""ph_m1_JK=""m1_JK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_JK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_JK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_JK
);
GET_ARGUMENTS4_F("phi_m1_KR=""Fphc_m1_KR=""phc_m1_KR=""Fphi_m1_KR=""ph_m1_KR=""m1_KR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_KR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_KR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KR
);
GET_ARGUMENTS4_F("phi_m1_KI=""Fphc_m1_KI=""phc_m1_KI=""Fphi_m1_KI=""ph_m1_KI=""m1_KI="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_KI
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_KI
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KI
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KI
);
GET_ARGUMENTS4_F("phi_m1_KJ=""Fphc_m1_KJ=""phc_m1_KJ=""Fphi_m1_KJ=""ph_m1_KJ=""m1_KJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_KJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_KJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KJ
);
GET_ARGUMENTS4_F("phi_m1_KK=""Fphc_m1_KK=""phc_m1_KK=""Fphi_m1_KK=""ph_m1_KK=""m1_KK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice1_KK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice1_KK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice1_KK
);
GET_ARGUMENTS4_F("phi_m2_RR=""Fphi_m2_RR=""phc_m2_RR=""Fphc_m2_RR=""ph_m2_RR=""m2_RR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_RR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_RR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RR
);
GET_ARGUMENTS4_F("phi_m2_RI=""Fphi_m2_RI=""phc_m2_RI=""Fphc_m2_RI=""ph_m2_RI=""m2_RI="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_RI
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_RI
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RI
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RI
);
GET_ARGUMENTS4_F("phi_m2_RJ=""Fphi_m2_RJ=""phc_m2_RJ=""Fphc_m2_RJ=""ph_m2_RJ=""m2_RJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_RJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_RJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RJ
);
GET_ARGUMENTS4_F("phi_m2_RK=""Fphi_m2_RK=""phc_m2_RK=""Fphc_m2_RK=""ph_m2_RK=""m2_RK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_RK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_RK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_RK
);
GET_ARGUMENTS4_F("phi_m2_IR=""Fphi_m2_IR=""phc_m2_IR=""Fphc_m2_IR=""ph_m2_IR=""m2_IR="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_IR
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_IR
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IR
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IR
);
GET_ARGUMENTS4_F("phi_m2_II=""Fphi_m2_II=""phc_m2_II=""Fphc_m2_II=""ph_m2_II=""m2_II="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_II
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_II
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_II
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_II
);
GET_ARGUMENTS4_F("phi_m2_IJ=""Fphi_m2_IJ=""phc_m2_IJ=""Fphc_m2_IJ=""ph_m2_IJ=""m2_IJ="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_IJ
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_IJ
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IJ
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IJ
);
GET_ARGUMENTS4_F("phi_m2_IK=""Fphi_m2_IK=""phc_m2_IK=""Fphc_m2_IK=""ph_m2_IK=""m2_IK="
,Iq_au_carre_dans_le_plan_hyper_image_____matrice2_IK
,IFq_au_carre_dans_le_plan_hyper_image_____matrice2_IK
,Iq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IK
,IFq_au_carre_dans_le_plan_hyper_complexe_____matrice2_IK
);
GET_ARGUMENTS4_F("phi_J=""Fphc_J=""phc_J=""Fphi_J=""ph_J=""J="
,Iq_au_carre_dans_le_plan_hyper_image_____composante_J
,IFq_au_carre_dans_le_plan_hyper_image_____composante_J
,Iq_au_carre_dans_le_plan_hyper_complexe_____composante_J
,IFq_au_carre_dans_le_plan_hyper_complexe_____composante_J
);
GET_ARGUMENTS4_F("phi_K=""Fphc_K=""phc_K=""Fphi_K=""ph_K=""K="
,Iq_au_carre_dans_le_plan_hyper_image_____composante_K
,IFq_au_carre_dans_le_plan_hyper_image_____composante_K
,Iq_au_carre_dans_le_plan_hyper_complexe_____composante_K
,IFq_au_carre_dans_le_plan_hyper_complexe_____composante_K
);
GET_ARGUMENT_I("XminR=",TRANSFORMATION_CONFORME_DANS_LE_PLAN_HYPER_IMAGE_____Xmin_reference);
GET_ARGUMENT_I("XmaxR=",TRANSFORMATION_CONFORME_DANS_LE_PLAN_HYPER_IMAGE_____Xmax_reference);
GET_ARGUMENT_I("YminR=",TRANSFORMATION_CONFORME_DANS_LE_PLAN_HYPER_IMAGE_____Ymin_reference);
GET_ARGUMENT_I("YmaxR=",TRANSFORMATION_CONFORME_DANS_LE_PLAN_HYPER_IMAGE_____Ymax_reference);
GET_ARGUMENT_L("facteur_multiplicatif_homothetique=""fmh="
,TRANSFORMATION_CONFORME_DANS_LE_PLAN_HYPER_IMAGE_____facteur_multiplicatif_homothetique
);
/* Arguments introduits le 20111016115936... */
/* */
/* ATTENTION : je note le 20111016115936 que le format de reference est le format 'Std' */
/* et non pas le format 'Pal'... */
GET_ARGUMENT_F("AtranslationAX=""AtrAX="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____A_translation_AX
);
GET_ARGUMENT_F("AtranslationBX=""AtrBX="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____A_translation_BX
);
GET_ARGUMENT_F("AtranslationAY=""AtrAY="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____A_translation_AY
);
GET_ARGUMENT_F("AtranslationBY=""AtrBY="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____A_translation_BY
);
GET_ARGUMENT_F("RtranslationAX=""RtrAX="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____R_translation_AX
);
GET_ARGUMENT_F("RtranslationBX=""RtrBX="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____R_translation_BX
);
GET_ARGUMENT_F("RtranslationAY=""RtrAY="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____R_translation_AY
);
GET_ARGUMENT_F("RtranslationBY=""RtrBY="
,TRANSFORMATION_CONFORME_DANS_LES_PLANS_HYPER_____R_translation_BY
);
/* Arguments introduits le 20111228161604... */
CONTROLE_DE_L_ARITHMETIQUE_ETENDUE_DES_NOMBRES_HYPER_COMPLEXES;
/* Cette extension a ete introduite le 20070129105553... */
)
);
#include xci/coordonne.03.I"
CALi(gInettoyage(les_images_sont_standards,ImageR,IFmageR));
/* Initialisation de l'image Resultat. */
Test(PAS_D_ERREUR(CODE_ERROR(gIload_image(les_images_sont_standards,ImageA,IFmageA,nom_imageA))))
/* Chargement de l'image a transformer. */
Bblock
INITIALISATION_ACCROISSEMENT_2D(Atranslation
,NEGA(SUPER_lNORMALISE_OX(MOIT(FLOT(dimX))))
,NEGA(SUPER_lNORMALISE_OY(MOIT(FLOT(dimY))))
);
INITIALISATION_ACCROISSEMENT_2D(Rtranslation
,ZERO
,ZERO
);
Test(IL_FAUT(travailler_dans_le_plan_hyper_image))
Bblock
CALS(gIq_au_carre_dans_le_plan_hyper_image(les_images_sont_standards
,ImageR,IFmageR
,ADRESSE(Rtranslation)
,facteur
,ImageA,IFmageA
,ADRESSE(Atranslation)
)
);
/* Et transformation de l'image Argument dans le plan hyper-image. */
Eblock
ATes
Bblock
CALS(gIq_au_carre_dans_le_plan_hyper_complexe(les_images_sont_standards
,ImageR,IFmageR
,ADRESSE(Rtranslation)
,facteur
,ImageA,IFmageA
,ADRESSE(Atranslation)
)
);
/* Et transformation de l'image Argument dans le plan hyper-Complexe. */
Eblock
ETes
CALi(gIupdate_image(les_images_sont_standards,nom_imageR,ImageR,IFmageR));
Eblock
ATes
Bblock
Test__CODE_ERREUR__ERREUR07;
Eblock
ETes
RETU_Commande;
Eblock
ECommande
Copyright © Jean-François COLONNA, 2019-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2024.