From e1770f91b544a864a339cd3c594040bd7c2f4d91 Mon Sep 17 00:00:00 2001 From: treecity Date: Tue, 8 Nov 2011 10:27:10 +0000 Subject: [PATCH] [src] neue Tests git-svn-id: https://drops.fb12.tu-berlin.de/svn/bacc/trunk@64 26120e32-c555-405d-b3e1-1f783fb42516 --- doc/doc1.pdf | Bin 161125 -> 165331 bytes doc/doc1.tex | 21 ++++++++--- src/A_AnIso.m | 4 +-- src/A_Iso.m | 4 +-- src/A_stepAnIso.m | 3 +- src/A_stepIso.m | 1 + src/gauss.hpp | 83 +++++++++++++++++++++++++++++++++++++++++++ src/gauss.m | 2 +- src/mex_build_AU.cpp | 5 +++ src/slpRectangle.cpp | 21 +++-------- src/test_calcInt1.m | 2 +- src/test_calcInt2.m | 10 +++--- src/test_calcInt4.m | 2 +- src/vec2str.m | 14 ++++++++ 14 files changed, 138 insertions(+), 34 deletions(-) create mode 100644 src/gauss.hpp create mode 100644 src/vec2str.m diff --git a/doc/doc1.pdf b/doc/doc1.pdf index b0012de4d24768363440961781fec47e54b514b9..3aa4b9652e3a120cc21810b4f9a2308f82ef4db7 100644 GIT binary patch delta 60465 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+++ b/doc/doc1.tex @@ -18,11 +18,15 @@ \def\todo#1{\textcolor{red}{#1}} \def\Matlab{{\sc Matlab}} -\def\q{\mathcal{Q}} +\def\q{\Q} \def\Ea{$E$} \def\Eb{$\tilde E$} \def\v{\boldsymbol{v}} +\def\D{\mathcal{D}} +\def\Q{\mathcal{Q}} +\def\G{\mathcal{G}} +\def\L{\mathcal{L}} \newcommand{\dif}[2]{\frac{\partial#1}{\partial#2}} \newcommand{\enorm}[1]{\left| \! \left| \! \left|#1\right| \! \right| \! \right|} @@ -94,9 +98,10 @@ Für $p \in \{1/2 , 0 , -1/2 , -1, -3/2\}$ gilt explizit: \begin{eqnarray*} G(p;y_1;y_2;x_1;x_2;\lambda) &:=& \int \int \{(x_1-y_1)^2 + (x_2-y_2)^2 + \lambda^2\}^p dy_2 dy_1 \end{eqnarray*} +Im Zuge der Berechnungen werden auch hier nur die Funktionen für bestimmte Parameter benötigt, die Untersuchung der restlichen werden wir hier nicht durchführen. \section{Integral über zwei Elemente} -Bei der Integration über zwei Seitenelemente \Ea, \Eb~ muss man geometrisch zischen zwei Fällen unterscheiden. Entweder die beiden Elemente liegen in parallelen Ebenen oder in orthogonalen Ebenen. +Bei der Integration über zwei Seitenelemente \Ea, \Eb~ haben wir geometrisch zischen zwei Fällen unterschieden. Entweder die beiden Elemente liegen in parallelen Ebenen oder in orthogonalen Ebenen. \subsection{Parallele Elemente} Liegen die beiden Elemente parallel zueinander lassen sie sich Folgendermaßen darstellen: @@ -235,7 +240,7 @@ dy_2 dy_1 dx_2 dx_1\\ \chapter{Semi-analytische Berechnung bestimmter Integrale} \section{Gauss-Quadratur} \begin{displaymath} - \int_0^l f(x) dx \approx \sum_{k=0}^n w_kf(x_k) =: \mathcal{Q}(f) + \int_0^l f(x) dx \approx \sum_{k=0}^n w_kf(x_k) =: \Q(f) \end{displaymath} \section{Quadratur über ein Element} @@ -245,15 +250,21 @@ dy_2 dy_1 dx_2 dx_1\\ Das Integral über \Eb~ kann durch die analytische Doppelintegral Funktion ersetzt werden. Die Quadratur über \Ea~ wird nun mittels einer doppelten Gauss-Quadratur berechnet. \subsection{Zulässigkeitsbedingung} \begin{displaymath} - \text{dist}(E,\tilde E) \req \mu min\{ \text{dist} + \D (E, \tilde E) \geq \mu \min\{ \G(E) , \G(\tilde E)\} \end{displaymath} - +Nur wenn die Zulässigkeitsbedingung gültig ist wird die Quadratur verwendet. Sonst wird Analytisch gerechnet. \section{Quadratur über eine Achse} \begin{displaymath} \int_{E} \int_{\tilde E} \approx \q_{I_1} \q_{J_1} \int_{I_2}\int_{J_2} \end{displaymath} +\subsection{Zulässigkeitsbedingung} +\begin{displaymath} + \D (I_1, J_1) \geq \mu \max\{ \L(I_2) , \L(J_2)\} +\end{displaymath} + + \section{Quadratur über eine Seite} \begin{displaymath} \int_{E} \int_{\tilde E} \approx \q_{I_1} \int_{I_2} \int_{J_1} \int_{J_2} diff --git a/src/A_AnIso.m b/src/A_AnIso.m index 56483be..d60bbcc 100644 --- a/src/A_AnIso.m +++ b/src/A_AnIso.m @@ -1,6 +1,6 @@ function A_AnIso(file,times,mu,type,eta,eps) -%A_ANISO Summary of this function goes here -% Detailed explanation goes here +% A_AnIso(file,times,mu,type,eta,eps) + A_loadMeshF(file) diff --git a/src/A_Iso.m b/src/A_Iso.m index e021601..bf51d6c 100644 --- a/src/A_Iso.m +++ b/src/A_Iso.m @@ -1,6 +1,6 @@ function A_Iso(file,times,mu,type) -%A_ANISO Summary of this function goes here -% DeTiiled explanation goes here +%A_Iso(file,times,mu,type) + A_loadMeshF(file) diff --git a/src/A_stepAnIso.m b/src/A_stepAnIso.m index beb3bd1..4b3fa1f 100644 --- a/src/A_stepAnIso.m +++ b/src/A_stepAnIso.m @@ -1,6 +1,5 @@ function [dataAniso time er] = A_stepAnIso(mu,type,eta,eps) -% dataAniso = A_stepAnIso(mu,type,eta,eps) -% +% [dataAniso time er] = A_stepAnIso(mu,type,eta,eps) global G_E; global G_C; diff --git a/src/A_stepIso.m b/src/A_stepIso.m index 0a7a22e..ad9bbe3 100644 --- a/src/A_stepIso.m +++ b/src/A_stepIso.m @@ -1,4 +1,5 @@ function [dataIso timer] = A_stepIso(mu,type) +% [dataIso timer] = A_stepIso(mu,type) global G_E; global G_C; diff --git a/src/gauss.hpp b/src/gauss.hpp new file mode 100644 index 0000000..17f9c1f --- /dev/null +++ b/src/gauss.hpp @@ -0,0 +1,83 @@ +#ifndef GAUSS_NODES +#define GAUSS_NODES + +#include + +class gauss{ +public: + double * nod; + double * wei; +}; + +gauss* Quad = new gauss [6]; + +void initeQuad(){ + +double gn1[] = {0.2113248654051871, + 0.7886751345948129 + }; + +double gw1[] = {0.4999999999999999, + 0.4999999999999999 + }; + + + +Quad[0].nod = new double[1]; +Quad[0].nod[0] = 0.5; +Quad[0].wei = new double[1]; +Quad[0].wei[0] = 1; + +Quad[1].nod = new double[2]; +memcpy(Quad[1].nod,gn1,sizeof(double)*2); +Quad[1].wei = new double[2]; +memcpy(Quad[1].wei,gw1,sizeof(double)*2); + +Quad[2].nod = new double[4]; +memcpy(Quad[2].nod,gn4,sizeof(double)*4); +Quad[2].wei = new double[4]; +memcpy(Quad[2].wei,gw4,sizeof(double)*4); + +} +/* +class Gauss { +public: + Gauss(int n){ + N = n; + node = new double[n]; + weight = new double[n]; + + + } + ~Gauss(){ + delete[] node; + delete[] weight; + } + + int getN() const{ + return N; + } + + double getw(int i) const{ + if(i= 3 a = varargin{1}; diff --git a/src/mex_build_AU.cpp b/src/mex_build_AU.cpp index 3dc3aae..737851c 100644 --- a/src/mex_build_AU.cpp +++ b/src/mex_build_AU.cpp @@ -11,6 +11,8 @@ #include "mex.h" #include +//#include "gauss.hpp" + #define M_EPS 10e-8 //#include "tbb/parallel_for.h" @@ -41,6 +43,9 @@ inline int dimOfThird(int a, int b) { void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { +// initeQuad(); +// cout << Quad[1].nod[0]; + int i, j, k; //Schleifenindizes double tmp; //Zwischenspeicherung der Einzelnen Werte int count; diff --git a/src/slpRectangle.cpp b/src/slpRectangle.cpp index d984cf8..3dbe4c5 100644 --- a/src/slpRectangle.cpp +++ b/src/slpRectangle.cpp @@ -6,6 +6,7 @@ //#include #include "slpRectangle.hpp" +//#include "gauss.hpp" using namespace std; @@ -32,6 +33,10 @@ double inline max(double x, double y) { return x < y ? y : x; } +double inline min(double x, double y) { + return x > y ? y : x; +} + double g_QY(double p, double y, double x, double l) { double sol = 0; @@ -456,22 +461,6 @@ double calcParIntO3(double b, double d, double t, double v, double d1, double calcOrtIntO3(double b, double d, double t, double v, double d1, double d2, double d3, double eta) { - //Elmente anordnen - if (d > t) { - double tmp = 0; - - tmp = b; - b = v; - v = tmp; - tmp = d; - d = t; - t = tmp; - - d1 = -d1; - d2 = -d2; - d3 = -d3; - } - if (max(b, t) * eta > d1) { return 0; } else { diff --git a/src/test_calcInt1.m b/src/test_calcInt1.m index 5a9e679..89515a5 100644 --- a/src/test_calcInt1.m +++ b/src/test_calcInt1.m @@ -1 +1 @@ - elements=[1 2 3 4;5 6 7 8]; neigh = zeros(2,8); dat = []; h = 1; coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 2 0 0; 2+h 0 0; 2+h h 0 ; 2 h 0]; figure(1) current = coordinates(elements(1,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'g'); hold on current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'b'); h = h/2; coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 2 0 0; 2+h 0 0; 2+h h 0 ; 2 h 0]; current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'y'); hold off legend('Element1(h/2)','Element2(h/2)','Element2(h/4)') h = 2; for I = 1:50 h = h/2; coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 2 0 0; 2+h 0 0; 2+h h 0 ; 2 h 0]; A0 = mex_build_AU(coordinates,elements,0,0); A2 = mex_build_AU(coordinates,elements,1,2); A1 = mex_build_AU(coordinates,elements,1,1); I dat(I,1:4) = [h A0(1,2) A2(1,2) A1(1,2)]; dat(dat<0)=0; end figure(2) loglog(dat(:,1),abs(dat(:,2)),dat(:,1),abs(dat(:,3)),dat(:,1),abs(dat(:,4))); legend('Analytisch','Quad Element','Element vertauschen'); xlabel('Elementgroesse'); ylabel('Integral'); \ No newline at end of file + coo = @(h,diff)[0 0 0;1 0 0; 1 1 0;0 1 0; 0 0 0 ; 0+h 0 0; 0+h h 0 ; 0 h 0]+[zeros(4,3);repmat(diff,4,1)]; elements=[1 2 3 4;5 6 7 8]; neigh = zeros(2,8); dat = []; diff = [2 0 0]; %% Laage Übersicht figure(1) h = 1; coordinates=coo(h,diff) current = coordinates(elements(1,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'g'); hold on current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'b'); h = h/2; coordinates=coo(h,diff); current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'y'); hold off legend('Element1(h)','Element2(h)','Element2(h/2)'); title('Laage der Elemente'); %% Integrale bei kleiner werdenden Elementen h = 2; for I = 1:50 h = h/2; coordinates=coo(h,diff); A0 = mex_build_AU(coordinates,elements,0,0); A2 = mex_build_AU(coordinates,elements,1,2); A1 = mex_build_AU(coordinates,elements,1,1); I dat(I,1:4) = [h A0(1,2) A2(1,2) A1(1,2)]; dat(dat<0)=0; end figure(2) loglog(dat(:,1),abs(dat(:,2)),dat(:,1),abs(dat(:,3)),dat(:,1),abs(dat(:,4))); legend('Analytisch','Quad Element','Element vertauschen','location','southeast'); xlabel('Elementgroesse (kürzeste Seite)'); ylabel('Integral'); title('Integral bei kleiner werdenden Element'); %% Netzverfeinerung ab einem Wert h = (1/2)^25; coordinates=coo(h,diff); A_loadMesh(coordinates,elements,neigh); datA=[]; for I = 1:5 datA(I,:) = A_stepIso(1,[0 1 3 2],1,0); I end figure(3) loglog(datA(2:end,1),datA(2:end,3),datA(2:end,1),datA(2:end,6),datA(2:end,1),datA(2:end,12),datA(2:end,1),datA(2:end,9)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','northeast'); xlabel('Anzahl der Elemente'); ylabel('mu Schaetzer'); title('mu Schaetzer mit "schlechtem" Startnetz'); figure(4) loglog(datA(:,1),datA(:,4),datA(:,1),datA(:,7),datA(:,1),datA(:,13),datA(:,1),datA(:,10)) legend('Analytisch','Element vertauschen','Quad Element','Quad Achse','location','southeast'); xlabel('Anzahl der Elemente'); ylabel('EnergieNorm ^2 '); title('EnergieNorm ^2 mit "schlechtem" Startnetz'); datA \ No newline at end of file diff --git a/src/test_calcInt2.m b/src/test_calcInt2.m index 9320aec..c86ccfc 100644 --- a/src/test_calcInt2.m +++ b/src/test_calcInt2.m @@ -5,8 +5,10 @@ neigh = zeros(2,8); dat = []; +diff = 10; + h = 1/2; -coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 4 0 0; 4+h 0 0; 4+h 1 0 ; 4 1 0]; +coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; diff 0 0; diff+h 0 0; diff+h 1 0 ; diff 1 0]; figure(1) current = coordinates(elements(1,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'g'); @@ -15,7 +17,7 @@ current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'b'); h = h/2; -coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 4 0 0; 4+h 0 0; 4+h 1 0 ; 4 1 0]; +coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; diff 0 0; diff+h 0 0; diff+h 1 0 ; diff 1 0]; current = coordinates(elements(2,[1:4,1])',:); fill3(current(:,1),current(:,2),current(:,3),'y'); hold off @@ -25,14 +27,14 @@ h = 2; for I = 1:50 h = h/2; -coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 4 0 0; 4+h 0 0; 4+h 1 0 ; 4 1 0]; +coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; diff 0 0; diff+h 0 0; diff+h 1 0 ; diff 1 0]; A0 = mex_build_AU(coordinates,elements,0,0); A2 = mex_build_AU(coordinates,elements,1,2); A3 = mex_build_AU(coordinates,elements,1,3); I dat(I,1:4) = [h A0(1,2) A2(1,2) A3(1,2)]; - dat(dat<0)=0; +% dat(dat<0)=0; end figure(2) diff --git a/src/test_calcInt4.m b/src/test_calcInt4.m index c2b60d7..7de2a56 100644 --- a/src/test_calcInt4.m +++ b/src/test_calcInt4.m @@ -33,7 +33,7 @@ coordinates=[0 0 0;1 0 0; 1 1 0;0 1 0; 2 0 0; 2 0 h; 2 h h ; 2 h 0]; I dat(I,1:4) = [h A0(1,2) A1(1,2) A2(1,2)]; - dat(dat<0)=0; + % dat(dat<0)=0; end diff --git a/src/vec2str.m b/src/vec2str.m new file mode 100644 index 0000000..0f93a37 --- /dev/null +++ b/src/vec2str.m @@ -0,0 +1,14 @@ +function vec2str(vec) + +fprintf('{'); + +for i = vec(1:end-1) + + fprintf('%6.16f,\n',i); + + +end + +fprintf('%6.16f\n',vec(end)); + +fprintf('}\n'); \ No newline at end of file -- 2.47.3