From 2f65ac0aba52c301b3d2888c2ea5bf9f340be897 Mon Sep 17 00:00:00 2001 From: Peter Schaefer Date: Wed, 10 Oct 2012 12:59:31 +0200 Subject: [PATCH] =?utf8?q?[doc]=20titelseite=20angepasst=20[src]=20gauss?= =?utf8?q?=20neu=20generiert=20und=20=C3=BCberarbeitet=20(const=20+=20#def?= =?utf8?q?ine)=20[doc]=20listings=20new=20colors?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- doc/doc.pdf | Bin 270627 -> 246448 bytes doc/doc.tex | 37 ++++---- doc/lstings.sty | 11 ++- doc/titelseite.tex | 3 +- src/export_gauss.m | 29 ++++--- src/gauss.hpp | 145 +++++++++++++++---------------- src/mex_build_V.cpp | 7 +- src/slpRectangle.cpp | 198 +++++++++++++++++++++---------------------- 8 files changed, 215 insertions(+), 215 deletions(-) diff --git a/doc/doc.pdf b/doc/doc.pdf index 1e824545cc1d1515fdfa47bc53327c9f900b0bdc..7bc8314815d02c5c157381d0eafba4c68bf91e4e 100644 GIT binary patch delta 178300 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\input{titelseite} +} \tableofcontents \clearpage @@ -125,7 +125,7 @@ eine Seite ist) In dieser Arbeit beschäftigen wir uns mit der Randelementmethode für die homogene Laplace-Gleichung mit Dirichlet-Randbedingungen \begin{align} - \varDelta u &= 0 \text{ in } \Omega \subset \R^3,\\ - u &= f \text{ auf } \Gamma, + u &= g \text{ auf } \Gamma, \end{align} wobei $\varDelta u := \partial_x^2u+\partial_y^2u$ den Laplace-Operator bezeichnet und $\Omega \subset \R^3$ eine beschränkte Teilmenge von $\R^3$ mit Lipschitz-Rand $\Gamma := \partial \Omega$ ist.\\ @@ -243,18 +243,14 @@ wobei $\varDelta u := \partial_x^2u+\partial_y^2u$ den Laplace-Operator bezeichn \todo{ \begin{itemize} \item kuerzer als in Ferraz-DA \cite{fer:errbem} - \item insbesondere fastregulaere Triangulierung + K-Gitter (vgl. Ferraz-DA) + \item insbesondere fastregulaere Triangulierung + K-Gitter (vgl. Ferraz-DA \cite{fer:errbem}) \end{itemize} } \subsection{Netze} Für die Diskretisierung des Problems wollen wir nun einige Begriffe definieren. \begin{defi}[Rechteck] - Wir nennen $T \subseteq \R^3$ ein achsenorientiertes Rechteck, wenn sich aus einem Eckpunkt $C \in \R^3$, alle weiteren Knoten schreiben lassen als $\{ C + a\cdot A, C + a \cdot A + b \cdot B , C + b \cdot B\}$, wobei Vektoren $A,B \in \{(1,0,0)^T,(0,1,0)^T,(0,0,1)^T\}$. und Skalare $a,b\neq0$ sind und der Flächeninhalt $|T| > 0$. \todo{Kanten/Seiten definieren? Anmerken, dass ein Kante als Vektor nur eine dim $\neq 0$?}\\Weiterhin sei - \begin{align} - C_T &:= \{ c_i:1\leq i \leq 4\} - \end{align} -die Menge der Eckpunkte des Rechtecks. + Wir nennen $T \subseteq \R^3$ ein achsenorientiertes Rechteck, wenn sich aus einem Eckpunkt $C \in \R^3$, alle weiteren Knoten schreiben lassen als $\{ C + a\cdot A, C + a \cdot A + b \cdot B , C + b \cdot B\}$, wobei Vektoren $A,B \in \{(1,0,0)^T,(0,1,0)^T,(0,0,1)^T\}$. und Skalare $a,b\neq0$ und der Flächeninhalt $|T| > 0$. \todo{Kanten/Seiten definieren? Anmerken, dass ein Kante als Vektor nur eine dim $\neq 0$?} \end{defi} \begin{defi}[Partition] @@ -262,17 +258,18 @@ die Menge der Eckpunkte des Rechtecks. \begin{itemize} \item $\overline{\Gamma} = \bigcup_{j=1}^NT_j$ \item alle Elemente aus $T_{\ell}$ abgeschlossene achsenorientierte Rechtecke - \item $T_j \cap T_k$ ist entweder ein Knoten, eine Seite oder keines von beiden mit $T_j,T_k\in\T_{\ell}$ und $T_j\neq T_k$ - \item auf einer Kante liegt maximal ein hängender Knoten + \item $\abs{T_j \cap T_k}=0$ für den Schnitt zweier Elemente $T_j,T_k\in\T_{\ell}$ mit $T_j\neq T_k$ \end{itemize} +Hier bezeichne $\abs{\cdot}$ das 2-Dimensionale Oberflächenmaß für Rechtecke. \end{defi} -Daraus folgt, dass pro Seite eines Rechtecks +Weiterhin wollen wir in dieser Arbeit Aufgrund der Netzstabilität noch fordern, dass der Schnitt $T_j \cap T_k$ zweier Elemente $T_j,T_k\in\T_{\ell}$ mit $T_j\neq T_k$ \begin{itemize} - \item entweder kein Nachbarelement - \item oder genau ein Nachbarelement - \item oder genau zwei Nachbarelemente + \item leer ist, + \item oder Knoten von $T_j$ und $T_k$, + \item oder Kante von $T_j$ und $T_k$, + \item oder o.B.d.A. Kante von $T_j$ und Kantenhälfte von $T_k$. \end{itemize} -anliegen können. Weiterhin wollen wir auch verlangen, dass der auf der Kante liegende Knoten die Seite halbiert, die beiden Nachbarlemente also die gleiche Seitenlänge an der anliegenden Kante haben. + \begin{figure}[ht] \centering @@ -295,7 +292,7 @@ anliegen können. Weiterhin wollen wir auch verlangen, dass der auf der Kante li \end{figure} \begin{defi} - Für eine Partition $\T_{\ell}$ bezeichnen wir mit $\hat \T_{\ell}$ jene Partition die entsteht, wenn alle Elemente isotrop verfeinert werden. + Für eine Partition $\T_{\ell}$ bezeichnen wir mit $\widehat \T_{\ell}$ jene Partition die entsteht, wenn alle Elemente isotrop verfeinert werden. \end{defi} \begin{alg}[Verfeinern] \label{alg:refine} Sei $\T_{\ell} = \{T_1,T_2,\dots,T_N\}$ eine Partition und $marked$ eine gegebene Markierung wobei $marked_j \hat =$ Markierung von $T_j$. Gehe so vor: \begin{enumerate} @@ -341,7 +338,7 @@ unter bestimmten Vorraussetzungen an die affinen Randstücke $T_j,T_k$ und den a \subsection{Gauss-Quadratur} \begin{displaymath} - \int_0^l f(x) dx \approx \sum_{k=0}^n w_kf(x_k) =: \Q(f) + \int_0^s f(x) dx \approx \sum_{k=0}^n w_kf(x_k) =: \Q(f) \end{displaymath} \subsection{Quadratur über ein Element} @@ -749,7 +746,7 @@ Wie interpretiert man das? } \subsection{Fehlerschätzer} -In diesem Abschnitt definieren wir die a-posteriori Fehlerschätzer, die wir im Folgenden zur Steuerung des adaptiven Algorithmus einsetzen werden. Wir verwenden dazu die $h-h/2$ Strategie aus Ferraz-Leite (Provet. 108),wo die folgende Aussage bewiesen wird. +In diesem Abschnitt definieren wir die a-posteriori Fehlerschätzer, die wir im Folgenden zur Steuerung des adaptiven Algorithmus einsetzen werden. Wir verwenden dazu die $h-h/2$ Strategie aus Ferraz-Leite, wo die folgende Aussage bewiesen wird. \begin{defi}Es bezeichne $\phi$ die Lösung von Formel , $\phi_{\ell}$ die Galerkinlösung auf dem Gitter $\T_{\ell}$ und $\hat \phi_{\ell}$ die Galerkinlösung auf dem uniform verfeinerten Gitter $\hat \T_{\ell}$. Dann gilt, der Schätzer \begin{align} diff --git a/doc/lstings.sty b/doc/lstings.sty index fadea70..b5eb7c6 100755 --- a/doc/lstings.sty +++ b/doc/lstings.sty @@ -17,8 +17,9 @@ \renewcommand{\ttdefault}{pcr} \definecolor{lst_green}{rgb}{0,0.6,0} -\definecolor{lst_lgreen}{rgb}{0.6,0.6,0} +\definecolor{lst_dbleen}{rgb}{0,0.3,0.3} \definecolor{lst_gray}{rgb}{0.6,0.6,0.6} +\definecolor{lst_dgray}{rgb}{0.6,0.6,0.6} \definecolor{lst_mauve}{rgb}{0.6,0,0.6} \definecolor{lst_dmauve}{rgb}{0.3,0,0.3} \definecolor{lst_blue}{rgb}{0,0,0.6} @@ -43,13 +44,15 @@ % breakatwhitespace=false, % title=\lstname, % identifierstyle=\color{red}, % +% morekeywords=[4]{int,double,void}, %Typen keywordstyle=[1]\color{lst_mauve}\bfseries, %buildin commands keywordstyle=[2]\bfseries\color{lst_dmauve}, %lib commands keywordstyle=[3]\color{lst_bleen}, %globals - keywordstyle=[4]\bfseries, %Functions - commentstyle=\color{lst_green}, + keywordstyle=[4]\bfseries\color{lst_dbleen}, %Typen + keywordstyle=[5]\bfseries, %Functions + commentstyle=\color{lst_dgray}, stringstyle=\color{lst_blue}, % escapeinside={\%*}{*)}, -extendedchars=true + extendedchars=true } diff --git a/doc/titelseite.tex b/doc/titelseite.tex index 49722b4..8bfc549 100644 --- a/doc/titelseite.tex +++ b/doc/titelseite.tex @@ -22,13 +22,12 @@ der Technischen Universität Wien \\ \vspace{1.5cm} unter der Anleitung von \\ Ao.Univ.Prof. Dipl.Math. Dr.techn. Dirk Praetorius \\ -Dipl.-Ing. Michael Karkulik\\ +Projektass.(FWF) Dipl.-Ing. Michael Karkulik\\ \vspace{1cm} durch \\ Peter Matthias Schaefer \\ Schopenhauerstr. 48/2 \\ 1180 Wien - \end{center} \end{titlepage} diff --git a/src/export_gauss.m b/src/export_gauss.m index 3933416..69028a0 100644 --- a/src/export_gauss.m +++ b/src/export_gauss.m @@ -1,25 +1,26 @@ function str = export_gauss(start,stop,steps,file) str = ['#ifndef GAUSS_NODES' char(10) ... -'#define GAUSS_NODES' char(10) ... +... '#define GAUSS_NODES' char(10) ... '/*' char(10) ... -' * Gaus Auswertungspunkte auf dem Intervall [0 1]' char(10) ... +' * Gaus Auswertungspunkte auf dem Intervall'... + ' [' num2str(start) ' ' num2str(stop) ']' char(10) ... ' *' char(10) ... ' * 2^$NUM entspricht der Anzahl der Auswertungspunkte' char(10) ... ' *' char(10) ... -' * Anzahl der Punkte: gauss_size[$NUM]' char(10) ... -' * Auswertungstellen: gauss_nodes[$NUM][$I].n ($I aktuelle Position)' char(10) ... -' * Gewichte: gauss_nodes[$NUM][$I].w ($I aktuelle Position)' char(10) ... +' * Anzahl der Punkte: GAUSS_SIZE[$NUM]' char(10) ... +' * Auswertungstellen: GAUSS_NODES[$NUM][$I].n ($I aktuelle Position)' char(10) ... +' * Gewichte: GAUSS_NODES[$NUM][$I].w ($I aktuelle Position)' char(10) ... ' *' char(10) ... ' * Beispiel:' char(10) ... ' *' char(10) ... ' * > double sol;' char(10) ... -' * > for(int i=0;i sol += sin(gauss_nodes[3][i].n) * gauss_nodes[3][i].w;' char(10) ... +' * > for(int i=0;i sol += sin(GAUSS_NODES[3][i].n) * GAUSS_NODES[3][i].w;' char(10) ... ' *' char(10) ... -' * Peter Schaefer (Automatisch generiert durch export_gaus.m )' char(10) ... +' * Peter Schaefer (Automatisch generiert durch export_gauss.m )' char(10) ... ' */' char(10) char(10) ... -'typedef struct _gauss{' char(10) ... +'typedef struct _gauss {' char(10) ... ' double n;' char(10) ... ' double w;' char(10) ... '} gauss;' char(10) ... @@ -27,19 +28,19 @@ char(10)]; preci = 21; -str2 =['gauss gauss_nodes[][' num2str(max(steps)) '] = {' char(10)]; -str1 =['double gauss_size [] = {']; +str2 =['gauss const GAUSS_NODES[][' num2str(max(steps)) '] = {' char(10)]; +str1 =['double const GAUSS_SIZE[] = { ']; for i = steps(1:end) - str1 = [str1 num2str(i) ',']; + str1 = [str1 num2str(i) ', ']; str2 = [str2 '{' char(10)]; [n w] = gauss(i,start,stop); for j = 1:length(n) - str2 = [str2 char(9) '{' num2str(n(j),preci) ',' num2str(w(j),preci) '},' char(10)]; + str2 = [str2 char(9) '{ ' num2str(n(j),preci) ', ' num2str(w(j),preci) ' },' char(10)]; end str2 = [str2(1:end-2) '},' char(10)]; end -str1 = [str1(1:end-1) '};' char(10)]; +str1 = [str1(1:end-2) ' };' char(10)]; str2 = [str2(1:end-2) '};' char(10)]; str = [str str1 char(10) str2 char(10) '#endif' char(10)]; diff --git a/src/gauss.hpp b/src/gauss.hpp index 93e62ee..729f603 100644 --- a/src/gauss.hpp +++ b/src/gauss.hpp @@ -1,97 +1,98 @@ #ifndef GAUSS_NODES -#define GAUSS_NODES /* * Gaus Auswertungspunkte auf dem Intervall [0 1] * * 2^$NUM entspricht der Anzahl der Auswertungspunkte * - * Anzahl der Punkte: gauss_size[$NUM] - * Auswertungstellen: gauss_nodes[$NUM][$I].n ($I aktuelle Position) - * Gewichte: gauss_nodes[$NUM][$I].w ($I aktuelle Position) + * Anzahl der Punkte: GAUSS_SIZE[$NUM] + * Auswertungstellen: GAUSS_NODES[$NUM][$I].n ($I aktuelle Position) + * Gewichte: GAUSS_NODES[$NUM][$I].w ($I aktuelle Position) * * Beispiel: * * > double sol; - * > for(int i=0;i sol += sin(gauss_nodes[3][i].n) * gauss_nodes[3][i].w; + * > for(int i=0;i sol += sin(GAUSS_NODES[3][i].n) * GAUSS_NODES[3][i].w; * - * Peter Schaefer (Automatisch generiert durch export_gaus.m ) + * Peter Schaefer (Automatisch generiert durch export_gauss.m ) */ -typedef struct _gauss{ +typedef struct _gauss { double n; double w; } gauss; -double gauss_size [] = {2,4,8,16,32}; +double const GAUSS_SIZE[] = { 1, 2, 4, 8, 16, 32 }; -gauss gauss_nodes[][32] = { +gauss const GAUSS_NODES[][32] = { { - {0.211324865405187078959,0.499999999999999888978}, - {0.788675134594812865529,0.499999999999999888978}}, + { 0.5, 1 }}, { - {0.0694318442029737137311,0.173927422568727063634}, - {0.330009478207571815833,0.32607257743127315841}, - {0.669990521792428128656,0.326072577431272991877}, - {0.93056815579702634178,0.173927422568727008123}}, + { 0.211324865405187078959, 0.499999999999999888978 }, + { 0.788675134594812865529, 0.499999999999999888978 }}, { - {0.0198550717512319119251,0.0506142681451882195387}, - {0.101666761293186636017,0.111190517226687282659}, - {0.237233795041835615613,0.15685332293894366229}, - {0.408282678752175054449,0.181341891689181078373}, - {0.591717321247825056574,0.18134189168918116164}, - {0.762766204958164384387,0.156853322938943606779}, - {0.898333238706813475005,0.111190517226687282659}, - {0.980144928248767977053,0.0506142681451882542332}}, + { 0.0694318442029737137311, 0.173927422568727063634 }, + { 0.330009478207571815833, 0.32607257743127315841 }, + { 0.669990521792428128656, 0.326072577431272991877 }, + { 0.93056815579702634178, 0.173927422568727008123 }}, { - {0.00529953250417525278948,0.0135762297058772823943}, - {0.0277124884633836443548,0.0311267619693235096656}, - {0.0671843988060840668908,0.0475792558412463095774}, - {0.12229779582249833414,0.0623144856277671119194}, - {0.191061877798677837159,0.0747979944082881875733}, - {0.270991611171386259649,0.0845782596975013928331}, - {0.359198224610370597798,0.0913017075224623053664}, - {0.452493745081181397705,0.0947253052275341400623}, - {0.547506254918818657806,0.0947253052275344453736}, - {0.640801775389629457713,0.0913017075224619306661}, - {0.729008388828613518307,0.0845782596975014205887}, - {0.808938122201321996307,0.0747979944082887010515}, - {0.877702204177501554838,0.0623144856277674172307}, - {0.932815601193915933109,0.0475792558412462263107}, - {0.972287511536616300134,0.0311267619693240300827}, - {0.994700467495824858233,0.0135762297058771956582}}, + { 0.0198550717512319119251, 0.0506142681451882195387 }, + { 0.101666761293186636017, 0.111190517226687282659 }, + { 0.237233795041835615613, 0.15685332293894366229 }, + { 0.408282678752175054449, 0.181341891689181078373 }, + { 0.591717321247825056574, 0.18134189168918116164 }, + { 0.762766204958164384387, 0.156853322938943606779 }, + { 0.898333238706813475005, 0.111190517226687282659 }, + { 0.980144928248767977053, 0.0506142681451882542332 }}, { - {0.00136806907525910403933,0.00350930500473500784839}, - {0.00719424422736580915227,0.00813719736545263742922}, - {0.0176188722062468050567,0.0126960326546312531754}, - {0.0325469620311301111037,0.0171369314565104867432}, - {0.0518394221169737878796,0.0214179490111136711095}, - {0.0753161931337150702959,0.0254990296311881116387}, - {0.102758102016028862735,0.0293420467392677027096}, - {0.133908940629855199855,0.0329111113881807790249}, - {0.168477866534892439798,0.0361728970544242522944}, - {0.206142121379618625809,0.0390969478935349543103}, - {0.246550045533885375804,0.041655962113473471442}, - {0.289324361934682361408,0.0438260465022020373471}, - {0.334065698858936110938,0.0455869393478821535726}, - {0.380356318873931620317,0.0469221995404019084908}, - {0.427764019208601742328,0.0478193600396371459871}, - {0.475846167156130650522,0.0482700442573640656208}, - {0.524153832843869071922,0.0482700442573634549981}, - {0.572235980791398368694,0.0478193600396370696592}, - {0.619643681126068490705,0.046922199540402220741}, - {0.66593430114106377804,0.0455869393478817580556}, - {0.710675638065317860637,0.0438260465022019540804}, - {0.753449954466114735219,0.041655962113473277153}, - {0.793857878620381374191,0.0390969478935357661609}, - {0.831522133465107504691,0.0361728970544242176}, - {0.866091059370144966678,0.032911111388180640247}, - {0.897241897983971248287,0.029342046739267681893}, - {0.924683806866285151749,0.0254990296311881359248}, - {0.94816057788302621212,0.021417949011113403962}, - {0.967453037968869833385,0.0171369314565111112436}, - {0.982381127793753194943,0.0126960326546313780754}, - {0.992805755772633968803,0.00813719736545309192677}, - {0.998631930924740673916,0.00350930500473496925079}}}; + { 0.00529953250417525278948, 0.0135762297058772823943 }, + { 0.0277124884633836443548, 0.0311267619693235096656 }, + { 0.0671843988060840668908, 0.0475792558412463095774 }, + { 0.12229779582249833414, 0.0623144856277671119194 }, + { 0.191061877798677837159, 0.0747979944082881875733 }, + { 0.270991611171386259649, 0.0845782596975013928331 }, + { 0.359198224610370597798, 0.0913017075224623053664 }, + { 0.452493745081181397705, 0.0947253052275341400623 }, + { 0.547506254918818657806, 0.0947253052275344453736 }, + { 0.640801775389629457713, 0.0913017075224619306661 }, + { 0.729008388828613518307, 0.0845782596975014205887 }, + { 0.808938122201321996307, 0.0747979944082887010515 }, + { 0.877702204177501554838, 0.0623144856277674172307 }, + { 0.932815601193915933109, 0.0475792558412462263107 }, + { 0.972287511536616300134, 0.0311267619693240300827 }, + { 0.994700467495824858233, 0.0135762297058771956582 }}, +{ + { 0.00136806907525910403933, 0.00350930500473500784839 }, + { 0.00719424422736580915227, 0.00813719736545263742922 }, + { 0.0176188722062468050567, 0.0126960326546312531754 }, + { 0.0325469620311301111037, 0.0171369314565104867432 }, + { 0.0518394221169737878796, 0.0214179490111136711095 }, + { 0.0753161931337150702959, 0.0254990296311881116387 }, + { 0.102758102016028862735, 0.0293420467392677027096 }, + { 0.133908940629855199855, 0.0329111113881807790249 }, + { 0.168477866534892439798, 0.0361728970544242522944 }, + { 0.206142121379618625809, 0.0390969478935349543103 }, + { 0.246550045533885375804, 0.041655962113473471442 }, + { 0.289324361934682361408, 0.0438260465022020373471 }, + { 0.334065698858936110938, 0.0455869393478821535726 }, + { 0.380356318873931620317, 0.0469221995404019084908 }, + { 0.427764019208601742328, 0.0478193600396371459871 }, + { 0.475846167156130650522, 0.0482700442573640656208 }, + { 0.524153832843869071922, 0.0482700442573634549981 }, + { 0.572235980791398368694, 0.0478193600396370696592 }, + { 0.619643681126068490705, 0.046922199540402220741 }, + { 0.66593430114106377804, 0.0455869393478817580556 }, + { 0.710675638065317860637, 0.0438260465022019540804 }, + { 0.753449954466114735219, 0.041655962113473277153 }, + { 0.793857878620381374191, 0.0390969478935357661609 }, + { 0.831522133465107504691, 0.0361728970544242176 }, + { 0.866091059370144966678, 0.032911111388180640247 }, + { 0.897241897983971248287, 0.029342046739267681893 }, + { 0.924683806866285151749, 0.0254990296311881359248 }, + { 0.94816057788302621212, 0.021417949011113403962 }, + { 0.967453037968869833385, 0.0171369314565111112436 }, + { 0.982381127793753194943, 0.0126960326546313780754 }, + { 0.992805755772633968803, 0.00813719736545309192677 }, + { 0.998631930924740673916, 0.00350930500473496925079 }}}; #endif diff --git a/src/mex_build_V.cpp b/src/mex_build_V.cpp index a8e2537..8e6817a 100644 --- a/src/mex_build_V.cpp +++ b/src/mex_build_V.cpp @@ -160,13 +160,13 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { double * E = mxGetPr(prhs[1]); int type = (int) *(mxGetPr(prhs[3])); - double * zeta ={}; + double * zeta = {0}; #if DEBUG >= 4 mexPrintf("ZetaM:%d\nZetaN:%d\n",mxGetM(prhs[2]),mxGetN(prhs[2])); #endif - if(mxGetN(prhs[2])>1) - zeta = mxGetPr(prhs[2])+1; + if (mxGetN(prhs[2]) > 1) + zeta = mxGetPr(prhs[2]) + 1; int quad = (int) *mxGetPr(prhs[2]); quad = setQuad(quad); @@ -174,7 +174,6 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { mexPrintf("Berechnungstyp:%d\nQuadpunkte:%d\n",type,quad); #endif - // Welche Funktion soll verwendet werden double (*ctypeP)(double, double, double, double, double, double, double, double*); diff --git a/src/slpRectangle.cpp b/src/slpRectangle.cpp index af6bd20..18899e6 100644 --- a/src/slpRectangle.cpp +++ b/src/slpRectangle.cpp @@ -10,12 +10,12 @@ #include "gauss.hpp" //#define quad 2 // Anzahl der Quadratur Auswertungstellen 2^quad -int quad=2; +int quad = 2; //using namespace std; -int setQuad(int q){ +int setQuad(int q) { quad = q; - return gauss_size[quad]; + return GAUSS_SIZE[quad]; } int sign(double); @@ -126,12 +126,12 @@ double inline g_QY(double p, double y, double x, double l) { double sol = 0; - for (int i = 0; i < gauss_size[quad]; ++i) { - sol += pow( - (x - gauss_nodes[quad][i].n * y) - * (x - gauss_nodes[quad][i].n * y) + l * l, p) - * gauss_nodes[quad][i].w * y; - } + for (int i = 0; i < GAUSS_SIZE[quad]; ++i) { +sol += pow( + (x - GAUSS_NODES[quad][i].n * y) + * (x - GAUSS_NODES[quad][i].n * y) + l * l, p) + * GAUSS_NODES[quad][i].w * y; +} return sol; } @@ -172,17 +172,17 @@ double inline G_QY1Y2(double p, double y1, double y2, double x1, double x2, double l) { double sol = 0; - for (int i = 0; i < gauss_size[quad]; ++i) { - for (int j = 0; j < gauss_size[quad]; ++j) { - sol += pow( - (x1 - y1 * gauss_nodes[quad][i].n) - * (x1 - y1 * gauss_nodes[quad][i].n) - + (x2 - y2 * gauss_nodes[quad][j].n) - * (x2 - y2 * gauss_nodes[quad][j].n) - + l * l, p) * y1 * gauss_nodes[quad][i].w * y2 - * gauss_nodes[quad][j].w; - } + for (int i = 0; i < GAUSS_SIZE[quad]; ++i) { + for (int j = 0; j < GAUSS_SIZE[quad]; ++j) { +sol += pow( + (x1 - y1 * GAUSS_NODES[quad][i].n) + * (x1 - y1 * GAUSS_NODES[quad][i].n) + + (x2 - y2 * GAUSS_NODES[quad][j].n) + * (x2 - y2 * GAUSS_NODES[quad][j].n) + + l * l, p) * y1 * GAUSS_NODES[quad][i].w * y2 + * GAUSS_NODES[quad][j].w; } +} return sol; } @@ -360,22 +360,22 @@ double calcParIntQX1X2(double b, double d, double t, double v, double d1, //Fall 2 double sol = 0; - for (int i = 0; i < gauss_size[quad]; ++i) { - for (int j = 0; j < gauss_size[quad]; ++j) { - sol += G_AY1Y2(-0.5, t + d1, v + d2, b * gauss_nodes[quad][i].n, - d * gauss_nodes[quad][j].n, d3) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY1Y2(-0.5, d1, v + d2, b * gauss_nodes[quad][i].n, - d * gauss_nodes[quad][j].n, d3) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY1Y2(-0.5, t + d1, d2, b * gauss_nodes[quad][i].n, - d * gauss_nodes[quad][j].n, d3) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol += G_AY1Y2(-0.5, d1, d2, b * gauss_nodes[quad][i].n, - d * gauss_nodes[quad][j].n, d3) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - } + for (int i = 0; i < GAUSS_SIZE[quad]; ++i) { + for (int j = 0; j < GAUSS_SIZE[quad]; ++j) { +sol += G_AY1Y2(-0.5, t + d1, v + d2, b * GAUSS_NODES[quad][i].n, + d * GAUSS_NODES[quad][j].n, d3) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY1Y2(-0.5, d1, v + d2, b * GAUSS_NODES[quad][i].n, + d * GAUSS_NODES[quad][j].n, d3) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY1Y2(-0.5, t + d1, d2, b * GAUSS_NODES[quad][i].n, + d * GAUSS_NODES[quad][j].n, d3) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol += G_AY1Y2(-0.5, d1, d2, b * GAUSS_NODES[quad][i].n, + d * GAUSS_NODES[quad][j].n, d3) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; } +} return sol; @@ -386,52 +386,52 @@ double calcParIntQY1X1(double b, double d, double t, double v, double d1, //Fall 3 double sol = 0; - for (int i = 0; i < gauss_size[quad]; ++i) { - for (int j = 0; j < gauss_size[quad]; ++j) { - - sol += G_AY2X2(t * gauss_nodes[quad][j].n + d1, v + d2, - b * gauss_nodes[quad][i].n, d, d3) * t * b - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY2X2(t * gauss_nodes[quad][j].n + d1, v + d2, - b * gauss_nodes[quad][i].n, 0, d3) * t * b - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY2X2(t * gauss_nodes[quad][j].n + d1, d2, - b * gauss_nodes[quad][i].n, d, d3) * t * b - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol += G_AY2X2(t * gauss_nodes[quad][j].n + d1, d2, - b * gauss_nodes[quad][i].n, 0, d3) * t * b - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; + for (int i = 0; i < GAUSS_SIZE[quad]; ++i) { + for (int j = 0; j < GAUSS_SIZE[quad]; ++j) { + + sol += G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, v + d2, + b * GAUSS_NODES[quad][i].n, d, d3) * t * b + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, v + d2, + b * GAUSS_NODES[quad][i].n, 0, d3) * t * b + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, d2, + b * GAUSS_NODES[quad][i].n, d, d3) * t * b + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol += G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, d2, + b * GAUSS_NODES[quad][i].n, 0, d3) * t * b + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; if (sol != sol /*|| fabs(sol) == numeric_limits::infinity()*/) { /* cout << "->(" << i << "," << j << ")" << endl; cout << "-|(" - << G_AY2X2(t * gauss_nodes[quad][j].n + d1, v + d2, - b * gauss_nodes[quad][i].n, d, d3) * t * b - * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w << "," - << G_AY2X2(t * gauss_nodes[quad][j].n + d1, v + d2, - b * gauss_nodes[quad][i].n, 0, d3) * t * b - * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w << "," - << G_AY2X2(t * gauss_nodes[quad][j].n + d1, d2, - b * gauss_nodes[quad][i].n, d, d3) * t * b - * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w << "," - << G_AY2X2(t * gauss_nodes[quad][j].n + d1, d2, - b * gauss_nodes[quad][i].n, 0, d3) * t * b - * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w << ")" << endl; + << G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, v + d2, + b * GAUSS_NODES[quad][i].n, d, d3) * t * b + * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << "," + << G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, v + d2, + b * GAUSS_NODES[quad][i].n, 0, d3) * t * b + * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << "," + << G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, d2, + b * GAUSS_NODES[quad][i].n, d, d3) * t * b + * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << "," + << G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, d2, + b * GAUSS_NODES[quad][i].n, 0, d3) * t * b + * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << ")" << endl; cout << "||" - << t * b * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w + << t * b * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << "||-----------------" << endl; cout << "? (" - << G_AY2X2(t * gauss_nodes[quad][j].n + d1, d2, - b * gauss_nodes[quad][i].n, 0, d3) << "," - << t * b * gauss_nodes[quad][i].w - * gauss_nodes[quad][j].w << ")" << endl; + << G_AY2X2(t * GAUSS_NODES[quad][j].n + d1, d2, + b * GAUSS_NODES[quad][i].n, 0, d3) << "," + << t * b * GAUSS_NODES[quad][i].w + * GAUSS_NODES[quad][j].w << ")" << endl; cout << endl;*/ return sol; @@ -465,22 +465,22 @@ double calcParIntQ(double b, double d, double t, double v, double d1, double d2, double sol = 0; int i, j, k, l; - for (i = 0; i < gauss_size[quad]; ++i) { - for (j = 0; j < gauss_size[quad]; ++j) { - for (k = 0; k < gauss_size[quad]; ++k) { - for (l = 0; l < gauss_size[quad]; ++l) { - sol += f_A(b * gauss_nodes[quad][i].n, - d * gauss_nodes[quad][j].n, - (t) * gauss_nodes[quad][k].n + d1, - (v) * gauss_nodes[quad][l].n + d2, d3) * b - * gauss_nodes[quad][i].w * d - * gauss_nodes[quad][j].w * t - * gauss_nodes[quad][k].w * v - * gauss_nodes[quad][l].w; - } + for (i = 0; i < GAUSS_SIZE[quad]; ++i) { + for (j = 0; j < GAUSS_SIZE[quad]; ++j) { + for (k = 0; k < GAUSS_SIZE[quad]; ++k) { + for (l = 0; l < GAUSS_SIZE[quad]; ++l) { +sol += f_A(b * GAUSS_NODES[quad][i].n, + d * GAUSS_NODES[quad][j].n, + (t) * GAUSS_NODES[quad][k].n + d1, + (v) * GAUSS_NODES[quad][l].n + d2, d3) * b + * GAUSS_NODES[quad][i].w * d + * GAUSS_NODES[quad][j].w * t + * GAUSS_NODES[quad][k].w * v + * GAUSS_NODES[quad][l].w; } } } +} return sol; } @@ -496,22 +496,22 @@ double calcOrtIntQX1X2(double b, double d, double t, double v, double d1, //Fall 2 double sol = 0; - for (int i = 0; i < gauss_size[quad]; ++i) { - for (int j = 0; j < gauss_size[quad]; ++j) { - sol += G_AY1Y2(-0.5, t + d2, v + d3, d * gauss_nodes[quad][j].n, 0, - b * gauss_nodes[quad][i].n - d1) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY1Y2(-0.5, d2, v + d3, d * gauss_nodes[quad][j].n, 0, - b * gauss_nodes[quad][i].n - d1) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol -= G_AY1Y2(-0.5, t + d2, d3, d * gauss_nodes[quad][j].n, 0, - b * gauss_nodes[quad][i].n - d1) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - sol += G_AY1Y2(-0.5, d2, d3, d * gauss_nodes[quad][j].n, 0, - b * gauss_nodes[quad][i].n - d1) * b * d - * gauss_nodes[quad][i].w * gauss_nodes[quad][j].w; - } + for (int i = 0; i < GAUSS_SIZE[quad]; ++i) { + for (int j = 0; j < GAUSS_SIZE[quad]; ++j) { +sol += G_AY1Y2(-0.5, t + d2, v + d3, d * GAUSS_NODES[quad][j].n, 0, + b * GAUSS_NODES[quad][i].n - d1) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY1Y2(-0.5, d2, v + d3, d * GAUSS_NODES[quad][j].n, 0, + b * GAUSS_NODES[quad][i].n - d1) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol -= G_AY1Y2(-0.5, t + d2, d3, d * GAUSS_NODES[quad][j].n, 0, + b * GAUSS_NODES[quad][i].n - d1) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; + sol += G_AY1Y2(-0.5, d2, d3, d * GAUSS_NODES[quad][j].n, 0, + b * GAUSS_NODES[quad][i].n - d1) * b * d + * GAUSS_NODES[quad][i].w * GAUSS_NODES[quad][j].w; } +} return sol; -- 2.47.3

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