98 lines
3.2 KiB
C++
98 lines
3.2 KiB
C++
// This file is part of the Herezh++ application.
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//
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// The finite element software Herezh++ is dedicated to the field
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// of mechanics for large transformations of solid structures.
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// It is developed by Gérard Rio (APP: IDDN.FR.010.0106078.000.R.P.2006.035.20600)
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// INSTITUT DE RECHERCHE DUPUY DE LÔME (IRDL) <https://www.irdl.fr/>.
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//
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// Herezh++ is distributed under GPL 3 license ou ultérieure.
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//
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// Copyright (C) 1997-2022 Université Bretagne Sud (France)
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// AUTHOR : Gérard Rio
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// E-MAIL : gerardrio56@free.fr
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//
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// This program is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License,
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// or (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty
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// of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
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// See the GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program. If not, see <https://www.gnu.org/licenses/>.
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//
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// For more information, please consult: <https://herezh.irdl.fr/>.
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#include "Suite_geometrique.h"
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#include "MathUtil.h"
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// affichage de la courbe
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void Suite_geometrique::Affiche() const
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{ cout << "\n suite geometrique de terme U_0= " << U_0
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<< " et de raison p= " << p << " ";
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};
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// interactif écran-clavier pour saisir les paramètres d'une suite
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// si amplitude != 0 alors il faut n non nulle et:
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// on a Somme_suite(n) = amplitude, ce qui permet pour les suites de réduire le nombre de paramètre à lire
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void Suite_geometrique::Def_suite(double amplitude, int n)
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{ if (amplitude == 0.)
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{ cout << "\n valeur du terme initial U_0 de la suite ";
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U_0=lect_double();
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cout << "\n valeur de la raison de la progression p= ";
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p=lect_double();
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}
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else
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{ if (n < 0)
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{ cout << "\n erreur pour la definition d'une suite geometrique, n est negatif ! "
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<< "\n Suite_geometrique::Def_suite(double amplitude, int n) ";
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Sortie(1);
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};
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cout << "\n valeur de la raison de la progression p= ";
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p=lect_double();
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if (n == 0)
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// on a directement somme = U_0
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{ U_0 = amplitude;}
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else
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{ if (Abs(p-1) < ConstMath::trespetit)
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// cas d'une suite equidistante
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{U_0 = amplitude / n;}
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else
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{ U_0 = amplitude * (1.-p) /(1.-PUISSn(p,n+1));};
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};
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};
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};
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// ramène la valeur d'un élément n de la suite
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double Suite_geometrique::U_n(int n )
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{ return (U_0*PUISSn(p,n));
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};
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// ramène la somme de la suite de 0 à n
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// de manière arbitraire pour n=-1 ==> 0
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// pour n < -1 --> erreur
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double Suite_geometrique::Somme_Suite(int n)
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{ double ret = 0.;
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if (n > 0)
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{ if (Abs(p-1) < ConstMath::trespetit)
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{// cas d'une suite equidistante
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ret = (n+1)*U_0;
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}
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else
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{ ret = U_0 * (1.-PUISSn(p,n+1))/(1.-p);};
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}
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else if (n==0) {ret = U_0;}
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else if (n==-1) { ret = 0.;}
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else if (n<-1)
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{ cout << "\n erreur n est inf a -1 "
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<< "\n Suite_geometrique::Somme_Suite(int n)";
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Sortie(1);
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};
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return ret;
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};
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