From 66003a5afaee44bac817b42f971d4efe8616c744 Mon Sep 17 00:00:00 2001 From: Peter Schaefer Date: Sat, 30 Mar 2013 23:10:29 +0100 Subject: [PATCH] =?utf8?q?[doc]=20Plots=20=C3=BCberarbeitet=20(psfrag)=20[?= =?utf8?q?src]=20bessere=20Plot=20ansicht=20[data]=20alte=20Daten=20ausgem?= =?utf8?q?istet=20(plots=20noch=20vorhanden)?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- doc/code.pdf | Bin 152561 -> 234752 bytes doc/code.tex | 126 ++- doc/doc.pdf | Bin 449170 -> 447281 bytes doc/doc.tex | 9 +- doc/fig/1t05n05_2DQuad_cond.eps | 558 +++++------ doc/fig/1t05n05_2DQuad_error.eps | 372 +++----- doc/fig/1t05n05_2DQuad_hminmax.eps | 240 ++--- doc/fig/1t05n05_2DQuad_norm.eps | 60 +- doc/fig/1t05n05_2DQuad_time.eps | 424 +++++---- doc/fig/1t05n05_3DFichCube_cond.eps | 12 +- doc/fig/1t05n05_3DFichCube_error.eps | 272 ++---- doc/fig/1t05n05_3DFichCube_hminmax.eps | 158 ++-- doc/fig/1t05n05_3DFichCube_norm.eps | 8 +- 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zo%!HMTs=VJL*KoCoeu)2Jvu5UHVmMFxyAqohPeu2Ck*IhamoUtFEEAPi4Ov(3x0nE zjK6sDN*4K;ZT{5C9*pT?XL==2Ce40sS*hI|Ay68+Qx^-h&%=z5(FFYahVu1%W>v z@p9w$yMP^lQtr5Ln6D+5rT#K#&p$ENx|E4FYN(xIhOiEe_HY5QT|yO8{08 zQUn1g0nbGqF>X;YF}OGqF2aoz=Ryen-#N6=H^taH=-D}7TuXrYhy?bAo;xRT`6B86 E2NY9F;s5{u diff --git a/doc/code.tex b/doc/code.tex index 7b0222c..6a95420 100644 --- a/doc/code.tex +++ b/doc/code.tex @@ -2,13 +2,50 @@ \usepackage{fullpage} %Seiten etwas Größer \usepackage[ngerman]{babel} %Sprachpacket für Überschriften -% \usepackage[utf8]{inputenc} %Eingabekodierung +\usepackage[utf8x]{inputenc} %Eingabekodierung +\usepackage{fixltx2e} %Deutschsprach Bugs + +\usepackage{psfrag} \usepackage{graphicx} +\usepackage{subfig} +\usepackage{hyperref} %Links im Inhaltsverzeichnis +\hypersetup{linkbordercolor={1 1 1},citebordercolor={1 1 1},urlbordercolor={1 1 1}} +\def\T{\mathcal{T}} \newcommand{\comment}[1]{} -\usepackage{xcolor} -% \selectcolormodel{gray} + + +\psfrag{T}{\scriptsize $T$} +\psfrag{T1}{\scriptsize $T_1$} +\psfrag{T2}{\scriptsize $T_2$} +\psfrag{T3}{\scriptsize $T_3$} +\psfrag{T4}{\scriptsize $T_4$} + +\psfrag{x}{\scriptsize $x$} +\psfrag{y}{\scriptsize $y$} +\psfrag{z}{\scriptsize $z$} + +\psfrag{Elementanzahl}{\scriptsize Elementanzahl} +\psfrag{Schaetzer}{\scriptsize Fehler} +\psfrag{Verhaeltnis}{\scriptsize Verhältnis} +\psfrag{Kondition}{\scriptsize Kondition} +\psfrag{Sekunden}{\scriptsize Zeit in $s$} + +\psfrag{tmu 1t05n05 A}{\tiny $\tilde \mu$} +\psfrag{eta 1t05n05 A}{\tiny $\eta$} +\psfrag{fehler 1t05n05 A}{\tiny Fehler} + + +\psfrag{erste Fehler}{\tiny erste Fehler} + +\psfrag{Zeit 1t05n05 A}{\tiny Zeit} + + +\psfrag{N-12}{\tiny $N^{-1/2}$} +\psfrag{N-14}{\tiny $N^{-1/4}$} +\psfrag{N-34}{\tiny $N^{-3/4}$} + \usepackage{lstings} @@ -25,18 +62,75 @@ \lstinputlisting[language=C++]{../src/slpRectangle.cpp} \subsubsection{gauss.hpp} \lstinputlisting[language=C++]{../src/gauss.hpp} - \subsection{Matlab} - \subsubsection{compute.m} - \lstinputlisting[language=M]{../src/compute.m} - \subsubsection{refineQuad.m} - \lstinputlisting[language=M]{../src/refineQuad.m} - \subsubsection{areaQuad.m} - \lstinputlisting[language=M]{../src/areaQuad.m} - \subsubsection{mark.m} - \lstinputlisting[language=M]{../src/mark.m} - \subsubsection{plotShape.m} - \lstinputlisting[language=M]{../src/plotShape.m} - \subsubsection{plotMark.m} - \lstinputlisting[language=M]{../src/plotMark.m} +% \subsection{Matlab} +% \subsubsection{compute.m} +% \lstinputlisting[language=M]{../src/compute.m} +% \subsubsection{refineQuad.m} +% \lstinputlisting[language=M]{../src/refineQuad.m} +% \subsubsection{areaQuad.m} +% \lstinputlisting[language=M]{../src/areaQuad.m} +% \subsubsection{mark.m} +% \lstinputlisting[language=M]{../src/mark.m} + +% \subsubsection{plotShape.m} +% \lstinputlisting[language=M]{../src/plotShape.m} +% \subsubsection{plotMark.m} +% \lstinputlisting[language=M]{../src/plotMark.m} % \lstinputlisting{} + +\section{Plots} +\begin{figure}[ht] +\caption{Objekt Beispiele} +\centering +\label{fig:objects} +\subfloat[2D L Shape]{\includegraphics[width=0.5\textwidth]{fig/exmpl_2DLShape_ref}} +\subfloat[2D Quad]{\includegraphics[width=0.5\textwidth]{fig/exmpl_2DQuad_ref}}\\ +\subfloat[3D Cube]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DCube_ref}} +\subfloat[3D FichCube]{\includegraphics[width=0.5\textwidth]{fig/exmpl_3DFichCube_ref}} +\end{figure} + +\begin{figure}[ht] +\caption{2D Quad adaptiv anisotrop vollanalytisch $V\phi = 1$} +\centering +\label{fig:exmplAA_2DQuad} +\subfloat[Fehler]{\includegraphics[width=0.7\textwidth]{fig/1t05n05_2DQuad_error}}\\ +\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_2DQuad_hminmax}} +\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_2DQuad_cond}} +% \subfloat[Zeit]{\includegraphics[width=0.33\textwidth]{fig/1t05n05_2DQuad_time}} +\end{figure} + +\begin{figure}[ht] + +\psfrag{tmu 1t1n0 A}{\tiny $\tilde \mu$ (uniform)} +\psfrag{eta 1t1n0 A}{\tiny $\eta$ (uniform)} +\psfrag{fehler 1t1n0 A}{\tiny Fehler (uniform)} +\psfrag{Zeit 1t1n0 A}{\tiny Zeit (uniform)} + +\psfrag{tmu 1t05n0 A}{\tiny $\tilde \mu$ (isotrop)} +\psfrag{eta 1t05n0 A}{\tiny $\eta$ (isotrop)} +\psfrag{fehler 1t05n0 A}{\tiny Fehler (isotrop)} +\psfrag{Zeit 1t05n0 A}{\tiny Zeit (isotrop)} + +\psfrag*{tmu 1t05n05 A}{\tiny \quad (anisotrop)} +\psfrag*{eta 1t05n05 A}{\tiny \quad (anisotrop)} +\psfrag*{fehler 1t05n05 A}{\tiny \qquad\quad (anisotrop)} +\psfrag*{Zeit 1t05n05 A}{\tiny \qquad (anisotrop)} + +\caption{2D Quad im Vergleich vollanalytisch $V\phi = 1$} +\centering +\label{fig:exmpl_2DQuad_tn} +\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/1tn_2DQuad_error}} +\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/1tn_2DQuad_hminmax}}\\ +\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/1tn_2DQuad_cond}} + \subfloat[Zeit]{\includegraphics[width=0.5\textwidth]{fig/1tn_2DQuad_time}} +\end{figure} + +\begin{figure}[ht] +\caption{3D FichCube adaptiv anisotrop vollanalytisch $V\phi = 1$} +\centering +\label{fig:exmplAA_3DQuad} +\subfloat[Fehler]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_3DFichCube_error}} +\subfloat[Seitenverhältnis]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_3DFichCube_hminmax}}\\ +\subfloat[Kondition]{\includegraphics[width=0.5\textwidth]{fig/1t05n05_3DFichCube_cond}} +\end{figure} \end{document} diff --git a/doc/doc.pdf b/doc/doc.pdf index 01e34ecda5585df0ab76a9cb4a4956b7e758404f..8ce81b500b2eed8a0830731a78f1343c5012f721 100644 GIT binary patch delta 306323 zcmV(=K-s^NwHvXf8<5C<)^@D4H72xr8L6(fjudlyzw5p7&Qkbg@B0lIWnGF*ujOy> zzS%p(7JtnPWsb;PzT97SJ?r|QT!_}Uf8qc(N*ivea=uwcw%q#8-sa(EQnq=1q2`tv z6BHT8rRss2V4~7~RQp~BC5RF>Z(nphDa$sx_E{e8cNl51p*`t;dZT=x_N}}%tV8<- z3MgX?Q~SQ7sBGfY{wlAd@wm4$S)!eBgRVx!;N1M)1#XY$Ee|^KN^29Bqp{H>5H?@t z;>c7K*8Yv!mf^>nmmh? zJfwrfF))`C-^y}-&oNQ^ZeFu2K9V~$T5In_C}vE>T@Plb@f{gGn64jR_7K!~P0O5F 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Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_2DQuad_cond.eps -%%CreationDate: 03/29/2013 14:54:30 +%%CreationDate: 03/30/2013 22:57:02 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -184,33 +184,33 @@ c0 1 sg 0 0 4801 3603 PR 4.16667 w -0 2936 3721 0 0 -2936 623 3206 4 MP +0 2936 3720 0 0 -2936 624 3206 4 MP PP --3721 0 0 2936 3721 0 0 -2936 623 3206 5 MP stroke +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke 2.77778 w DO SO 4.16667 w 0 sg - 623 3206 mt 4344 3206 L - 623 270 mt 4344 270 L - 623 3206 mt 623 270 L + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L 4344 3206 mt 4344 270 L - 623 3206 mt 4344 3206 L - 623 3206 mt 623 270 L - 623 3206 mt 623 3187 L - 623 270 mt 623 288 L - 623 3206 mt 623 3168 L - 623 270 mt 623 307 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 562 3332 mt + 563 3332 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 654 3281 mt + 655 3281 mt (0) s 903 3206 mt 903 3187 L 903 270 mt 903 288 L @@ -332,25 +332,25 @@ SO 4375 3281 mt (4) s - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 623 3206 L - 623 3206 mt 661 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 661 3206 L 4344 3206 mt 4306 3206 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR @@ -362,205 +362,235 @@ SO 539 3185 mt (0) s - 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-3992 2621 mt 3992 2671 L +83 4 62 8 54 -142 65 155 95 59 107 66 99 53 97 38 +94 53 87 46 72 34 55 41 84 58 54 47 64 50 60 51 +61 54 61 56 45 55 62 53 48 54 52 51 70 55 51 54 +90 50 71 60 103 73 123 58 190 65 254 61 560 94 1183 1157 32 MP stroke +gs 1132 1106 3176 1747 MR c np 1166 1140 mt 1200 1174 L 1200 1140 mt 1166 1174 L 1726 1234 mt 1760 1268 L @@ -688,27 +645,35 @@ gs 1132 1106 2912 1592 MR c np 3914 2570 mt 3880 2604 L 3975 2629 mt 4009 2663 L 4009 2629 mt 3975 2663 L +4040 2784 mt 4074 2818 L +4074 2784 mt 4040 2818 L +4094 2642 mt 4128 2676 L +4128 2642 mt 4094 2676 L +4156 2650 mt 4190 2684 L +4190 2650 mt 4156 2684 L +4239 2654 mt 4273 2688 L +4273 2654 mt 4239 2688 L gr DD /c9 { 0.900000 0.600000 0.000000 sr} bdef c9 -95 37 107 42 99 39 97 39 94 37 87 34 72 28 55 22 -84 33 54 22 64 25 60 24 61 23 61 25 45 17 62 25 -48 19 52 20 70 28 51 20 90 36 71 28 103 40 123 49 -190 75 254 100 560 221 1183 604 28 MP stroke +83 32 62 25 54 21 65 26 95 37 107 42 99 39 97 39 +94 37 87 34 72 28 55 22 84 33 54 22 64 25 60 24 +61 24 61 24 45 18 62 24 48 19 52 20 70 28 51 20 +90 36 71 28 103 41 123 48 190 75 254 100 560 221 1183 524 32 MP stroke DO -95 19 107 21 99 19 97 20 94 18 87 17 72 14 55 11 -84 17 54 11 64 12 60 12 61 12 61 12 45 9 62 12 -48 10 52 10 70 14 51 10 90 18 71 14 103 20 123 24 -190 38 254 50 560 110 1183 764 28 MP stroke +83 16 62 13 54 10 65 13 95 19 107 21 99 19 97 20 +94 18 87 17 72 14 55 11 84 17 54 11 64 12 60 12 +61 12 61 12 45 9 62 12 48 10 52 10 70 14 51 10 +90 18 71 14 103 20 123 24 190 38 254 50 560 110 1183 764 32 MP stroke DA -95 56 107 63 99 59 97 57 94 56 87 51 72 43 55 32 -84 50 54 32 64 38 60 36 61 35 61 37 45 26 62 37 -48 28 52 31 70 42 51 30 90 53 71 42 103 61 123 73 -190 112 254 151 560 331 1183 1114 28 MP stroke +83 49 62 37 54 32 65 39 95 56 107 63 99 59 97 57 +94 56 87 51 72 43 55 32 84 50 54 32 64 38 60 36 +61 35 61 37 45 26 62 37 48 28 52 31 70 42 51 30 +90 53 71 42 103 61 123 73 190 112 254 151 560 331 1183 1114 32 MP stroke c2 -0 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-%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 977 3133 mt + 977 3132 mt (erste Fehler) s -gs 665 2325 962 842 MR c np +gs 665 2429 962 738 MR c np DA c2 -240 0 712 3102 2 MP stroke +240 0 712 3101 2 MP stroke SO gr diff --git a/doc/fig/1t05n05_2DQuad_hminmax.eps b/doc/fig/1t05n05_2DQuad_hminmax.eps index d67c0a2..2a8b9fb 100644 --- a/doc/fig/1t05n05_2DQuad_hminmax.eps +++ b/doc/fig/1t05n05_2DQuad_hminmax.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_2DQuad_hminmax.eps -%%CreationDate: 03/29/2013 14:54:29 +%%CreationDate: 03/30/2013 22:57:02 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -593,11 +593,11 @@ SO gs 624 269 3721 2937 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -95 110 107 111 99 110 97 111 94 110 87 111 72 0 55 110 -84 111 54 110 64 111 60 0 61 110 61 111 45 110 62 0 -48 111 52 0 70 110 51 111 90 0 71 110 103 0 123 111 -190 110 254 110 560 0 1183 637 28 MP stroke -gs 1132 586 2912 2312 MR c np +83 0 62 0 54 110 65 111 95 110 107 111 99 110 97 111 +94 110 87 111 72 0 55 110 84 111 54 110 64 111 60 0 +61 110 61 111 45 110 62 0 48 111 52 0 70 110 51 111 +90 0 71 110 103 0 123 111 190 110 254 110 560 0 1183 637 32 MP stroke +gs 1132 586 3176 2533 MR c np 25 25 1183 637 FO 25 25 1743 637 FO 25 25 1997 747 FO @@ -626,132 +626,89 @@ gs 1132 586 2912 2312 MR c np 25 25 3790 2625 FO 25 25 3897 2736 FO 25 25 3992 2846 FO + 25 25 4057 2957 FO + 25 25 4111 3067 FO + 25 25 4173 3067 FO + 25 25 4256 3067 FO gr -95 110 107 111 99 0 97 110 94 0 87 111 72 110 55 0 -84 111 54 0 64 0 60 110 61 0 61 111 45 0 62 110 -48 0 52 0 70 111 51 0 90 110 71 0 103 0 123 111 -190 110 254 110 560 0 1183 637 28 MP stroke -gs 1132 586 2912 1649 MR c np -1166 620 mt 1200 654 L -1200 620 mt 1166 654 L -1726 620 mt 1760 654 L -1760 620 mt 1726 654 L -1980 730 mt 2014 764 L -2014 730 mt 1980 764 L -2170 840 mt 2204 874 L -2204 840 mt 2170 874 L -2293 951 mt 2327 985 L -2327 951 mt 2293 985 L -2396 951 mt 2430 985 L -2430 951 mt 2396 985 L -2467 951 mt 2501 985 L -2501 951 mt 2467 985 L -2557 1061 mt 2591 1095 L -2591 1061 mt 2557 1095 L -2608 1061 mt 2642 1095 L -2642 1061 mt 2608 1095 L -2678 1172 mt 2712 1206 L -2712 1172 mt 2678 1206 L -2730 1172 mt 2764 1206 L -2764 1172 mt 2730 1206 L -2778 1172 mt 2812 1206 L -2812 1172 mt 2778 1206 L -2840 1282 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L -2670 1299 mt 2720 1299 L -2695 1274 mt 2695 1324 L -2722 1299 mt 2772 1299 L -2747 1274 mt 2747 1324 L -2770 1410 mt 2820 1410 L -2795 1385 mt 2795 1435 L -2832 1410 mt 2882 1410 L -2857 1385 mt 2857 1435 L -2877 1520 mt 2927 1520 L -2902 1495 mt 2902 1545 L -2938 1631 mt 2988 1631 L -2963 1606 mt 2963 1656 L -2999 1741 mt 3049 1741 L -3024 1716 mt 3024 1766 L -3059 1741 mt 3109 1741 L -3084 1716 mt 3084 1766 L -3123 1852 mt 3173 1852 L -3148 1827 mt 3148 1877 L -3177 1962 mt 3227 1962 L -3202 1937 mt 3202 1987 L -3261 2073 mt 3311 2073 L -3286 2048 mt 3286 2098 L -3316 2183 mt 3366 2183 L -3341 2158 mt 3341 2208 L -3388 2183 mt 3438 2183 L -3413 2158 mt 3413 2208 L -3475 2294 mt 3525 2294 L -3500 2269 mt 3500 2319 L -3569 2404 mt 3619 2404 L -3594 2379 mt 3594 2429 L -3666 2515 mt 3716 2515 L -3691 2490 mt 3691 2540 L -3765 2625 mt 3815 2625 L -3790 2600 mt 3790 2650 L -3872 2736 mt 3922 2736 L -3897 2711 mt 3897 2761 L -3967 2736 mt 4017 2736 L -3992 2711 mt 3992 2761 L +83 111 62 0 54 0 65 110 95 0 107 111 99 110 97 111 +94 110 87 111 72 0 55 110 84 111 54 110 64 111 60 0 +61 110 61 111 45 110 62 0 48 111 52 0 70 110 51 111 +90 0 71 110 103 111 123 110 190 0 254 110 560 0 1183 637 32 MP stroke +gs 1132 586 3176 2423 MR c np 1166 620 mt 1200 654 L 1200 620 mt 1166 654 L 1726 620 mt 1760 654 L @@ -808,11 +765,19 @@ gs 1132 586 2912 2202 MR c np 3914 2719 mt 3880 2753 L 3975 2719 mt 4009 2753 L 4009 2719 mt 3975 2753 L +4040 2829 mt 4074 2863 L +4074 2829 mt 4040 2863 L +4094 2829 mt 4128 2863 L +4128 2829 mt 4094 2863 L +4156 2829 mt 4190 2863 L +4190 2829 mt 4156 2863 L +4239 2940 mt 4273 2974 L +4273 2940 mt 4239 2974 L gr DA c2 -0 -2332 3947 2927 2 MP stroke +0 -2553 3947 3148 2 MP stroke gr c2 @@ -821,10 +786,10 @@ DA %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s - 388 1926 mt -90 rotate -(Schaetzer) s +2207 3432 mt +(Elementanzahl) s + 388 1944 mt -90 rotate +(Verhaeltnis) s 90 rotate 612 3236 mt ( ) s @@ -861,8 +826,9 @@ gs 665 2731 1524 435 MR c np c8 264 0 717 2897 2 MP stroke gs 798 2846 103 103 MR c np - 832 2880 mt 866 2914 L - 866 2880 mt 832 2914 L +0 j +29 50 -58 0 29 -50 849 2930 4 MP +DP gr gr @@ -875,8 +841,6 @@ gs 665 2731 1524 435 MR c np c8 264 0 717 2998 2 MP stroke gs 798 2947 103 103 MR c np - 824 2998 mt 874 2998 L - 849 2973 mt 849 3023 L 832 2981 mt 866 3015 L 866 2981 mt 832 3015 L gr diff --git a/doc/fig/1t05n05_2DQuad_norm.eps b/doc/fig/1t05n05_2DQuad_norm.eps index dd3da65..e13805b 100644 --- a/doc/fig/1t05n05_2DQuad_norm.eps +++ b/doc/fig/1t05n05_2DQuad_norm.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. 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Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_2DQuad_norm.eps -%%CreationDate: 03/29/2013 14:54:29 +%%CreationDate: 03/30/2013 22:41:04 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -184,20 +184,20 @@ c0 1 sg 0 0 4801 3603 PR 4.16667 w -0 2936 3720 0 0 -2936 624 3206 4 MP +0 2937 3720 0 0 -2937 624 3206 4 MP PP --3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +-3720 0 0 2937 3720 0 0 -2937 624 3206 5 MP stroke 2.77778 w DO SO 4.16667 w 0 sg 624 3206 mt 4344 3206 L - 624 270 mt 4344 270 L - 624 3206 mt 624 270 L -4344 3206 mt 4344 270 L + 624 269 mt 4344 269 L + 624 3206 mt 624 269 L +4344 3206 mt 4344 269 L 624 3206 mt 4344 3206 L - 624 3206 mt 624 270 L + 624 3206 mt 624 269 L 624 3206 mt 624 3187 L 624 270 mt 624 288 L 624 3206 mt 624 3168 L @@ -440,17 +440,17 @@ SO 624 3206 mt 624 3206 L 624 3206 mt 624 3206 L 624 3206 mt 624 3206 L - 624 696 mt 661 696 L -4344 696 mt 4306 696 L + 624 697 mt 661 697 L +4344 697 mt 4306 697 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR - 400 726 mt + 400 727 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 55.5556 FMSR - 492 675 mt + 492 676 mt (0.66) s 624 3206 mt 624 3206 L 624 3206 mt 624 3206 L @@ -471,20 +471,20 @@ SO 624 3206 mt 624 3206 L 624 3206 mt 624 3206 L 624 3206 mt 4344 3206 L - 624 270 mt 4344 270 L - 624 3206 mt 624 270 L -4344 3206 mt 4344 270 L + 624 269 mt 4344 269 L + 624 3206 mt 624 269 L +4344 3206 mt 4344 269 L gs 624 270 3721 2937 MR c np /c8 { 0.000000 0.300000 0.300000 sr} bdef c8 -95 0 107 -1 99 0 97 0 94 0 87 -1 72 0 55 -1 -84 -1 54 -1 64 -2 60 -3 61 -4 61 -6 45 -8 62 -10 -48 -16 52 -20 70 -31 51 -43 90 -55 71 -92 103 -172 123 -206 -190 -344 254 -486 560 -1274 1183 3206 28 MP stroke +83 0 62 0 54 0 65 0 95 -1 107 0 99 0 97 0 +94 0 87 -1 72 0 55 -1 84 -1 54 -1 64 -2 60 -3 +61 -4 61 -6 45 -8 62 -10 48 -16 52 -20 70 -31 51 -43 +90 -55 71 -92 103 -172 123 -206 190 -344 254 -486 560 -1274 1183 3206 32 MP stroke gr c8 -gs 1132 378 2912 2880 MR c np +gs 1132 378 3176 2880 MR c np 25 25 1183 3206 FO 25 25 1743 1932 FO 25 25 1997 1446 FO @@ -511,19 +511,23 @@ gs 1132 378 2912 2880 MR c np 25 25 3594 430 FO 25 25 3691 430 FO 25 25 3790 430 FO - 25 25 3897 429 FO + 25 25 3897 430 FO 25 25 3992 429 FO + 25 25 4057 429 FO + 25 25 4111 429 FO + 25 25 4173 429 FO + 25 25 4256 429 FO gr gs 624 270 3721 2937 MR c np DD c2 -95 0 107 0 99 0 97 0 94 0 87 0 72 0 55 0 -84 0 54 0 64 0 60 0 61 0 61 0 45 0 62 0 -48 0 52 0 70 0 51 0 90 0 71 0 103 0 123 0 -190 0 254 0 560 0 1183 429 28 MP stroke +83 0 62 0 54 0 65 0 95 0 107 0 99 0 97 0 +94 0 87 0 72 0 55 0 84 0 54 0 64 0 60 0 +61 0 61 0 45 0 62 0 48 0 52 0 70 0 51 0 +90 0 71 0 103 0 123 0 190 0 254 0 560 0 1183 429 32 MP stroke DA -0 -2937 3947 3207 2 MP stroke +0 -2936 3947 3206 2 MP stroke gr c2 @@ -532,8 +536,8 @@ DA %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s +2207 3432 mt +(Elementanzahl) s 343 1882 mt -90 rotate (eNorm) s 90 rotate diff --git a/doc/fig/1t05n05_2DQuad_time.eps b/doc/fig/1t05n05_2DQuad_time.eps index 6528bda..f3accab 100644 --- a/doc/fig/1t05n05_2DQuad_time.eps +++ b/doc/fig/1t05n05_2DQuad_time.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. 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1112 1212 L 1112 1178 mt 1078 1212 L 1606 1262 mt 1640 1296 L @@ -625,9 +580,9 @@ gr DD /c9 { 0.900000 0.600000 0.000000 sr} bdef c9 -29 9 140 41 116 34 126 38 113 33 92 27 105 31 82 25 -106 31 73 22 99 29 92 27 97 29 131 39 114 34 152 45 -120 35 219 65 142 42 245 72 235 70 528 156 1095 890 23 MP stroke +29 9 140 41 116 35 126 37 113 34 92 27 105 31 82 24 +106 31 73 22 99 29 92 28 97 28 131 39 114 34 152 45 +120 35 219 65 142 42 245 73 235 69 528 156 1095 810 23 MP stroke DO 29 5 140 20 116 18 126 18 113 17 92 14 105 15 82 12 106 16 73 11 99 14 92 14 97 14 131 20 114 17 152 22 @@ -646,8 +601,8 @@ DA %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s +2207 3432 mt +(Elementanzahl) s 388 1926 mt -90 rotate (Schaetzer) s 90 rotate @@ -657,140 +612,97 @@ DA ( ) s SO 1 sg -0 841 961 0 0 -841 665 3166 4 MP +0 737 961 0 0 -737 665 3166 4 MP PP --961 0 0 841 961 0 0 -841 665 3166 5 MP stroke +-961 0 0 737 961 0 0 -737 665 3166 5 MP stroke 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L +240 0 712 2595 2 MP stroke +gs 781 2544 103 103 MR c np +0 j +29 50 -58 0 29 -50 832 2628 4 MP +DP gr gr c8 0 sg - 977 2619 mt + 977 2727 mt (fehler 1t05n05 A) s -gs 665 2325 962 842 MR c np +gs 665 2429 962 738 MR c np c8 -240 0 712 2588 2 MP stroke -gs 781 2537 103 103 MR c np - 807 2588 mt 857 2588 L - 832 2563 mt 832 2613 L - 815 2571 mt 849 2605 L - 849 2571 mt 815 2605 L +240 0 712 2696 2 MP stroke +gs 781 2645 103 103 MR c np + 815 2679 mt 849 2713 L + 849 2679 mt 815 2713 L gr gr c8 0 sg - 977 2748 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1037 2707 mt -(-1/2) s -gs 665 2325 962 842 MR c np + 977 2828 mt +(N-12) s +gs 665 2429 962 738 MR c np DD c9 -240 0 712 2707 2 MP stroke +240 0 712 2797 2 MP stroke SO gr c9 0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 977 2886 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1037 2845 mt -(-1/4) s -gs 665 2325 962 842 MR c np + 977 2929 mt +(N-14) s +gs 665 2429 962 738 MR c np DO c9 -240 0 712 2845 2 MP stroke +240 0 712 2898 2 MP stroke SO gr c9 0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 977 3024 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1037 2983 mt -(-3/4) s -gs 665 2325 962 842 MR c np + 977 3031 mt +(N-34) s +gs 665 2429 962 738 MR c np DA c9 -240 0 712 2983 2 MP stroke +240 0 712 2999 2 MP stroke SO gr c9 0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 977 3133 mt + 977 3132 mt (erste Fehler) s -gs 665 2325 962 842 MR c np +gs 665 2429 962 738 MR c np DA c2 -240 0 712 3102 2 MP stroke +240 0 712 3101 2 MP stroke SO gr diff --git a/doc/fig/1t05n05_3DFichCube_hminmax.eps b/doc/fig/1t05n05_3DFichCube_hminmax.eps index 7812cc2..1628573 100644 --- a/doc/fig/1t05n05_3DFichCube_hminmax.eps +++ b/doc/fig/1t05n05_3DFichCube_hminmax.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_3DFichCube_hminmax.eps -%%CreationDate: 03/29/2013 14:54:27 +%%CreationDate: 03/30/2013 22:57:00 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -536,104 +536,59 @@ gr 106 147 73 0 99 0 92 147 97 0 131 148 114 0 152 147 120 0 219 147 142 0 245 148 235 147 528 147 1095 759 23 MP stroke gs 1044 708 3259 1723 MR c np -1078 742 mt 1112 776 L -1112 742 mt 1078 776 L -1606 889 mt 1640 923 L -1640 889 mt 1606 923 L -1841 1036 mt 1875 1070 L -1875 1036 mt 1841 1070 L -2086 1184 mt 2120 1218 L -2120 1184 mt 2086 1218 L -2228 1184 mt 2262 1218 L -2262 1184 mt 2228 1218 L -2447 1331 mt 2481 1365 L -2481 1331 mt 2447 1365 L -2567 1331 mt 2601 1365 L -2601 1331 mt 2567 1365 L -2719 1478 mt 2753 1512 L -2753 1478 mt 2719 1512 L -2833 1478 mt 2867 1512 L -2867 1478 mt 2833 1512 L -2964 1626 mt 2998 1660 L -2998 1626 mt 2964 1660 L -3061 1626 mt 3095 1660 L -3095 1626 mt 3061 1660 L -3153 1773 mt 3187 1807 L -3187 1773 mt 3153 1807 L -3252 1773 mt 3286 1807 L -3286 1773 mt 3252 1807 L -3325 1773 mt 3359 1807 L -3359 1773 mt 3325 1807 L -3431 1920 mt 3465 1954 L -3465 1920 mt 3431 1954 L -3513 1920 mt 3547 1954 L -3547 1920 mt 3513 1954 L -3618 1773 mt 3652 1807 L -3652 1773 mt 3618 1807 L -3710 1920 mt 3744 1954 L -3744 1920 mt 3710 1954 L -3823 2068 mt 3857 2102 L -3857 2068 mt 3823 2102 L -3949 2068 mt 3983 2102 L -3983 2068 mt 3949 2102 L -4065 2215 mt 4099 2249 L -4099 2215 mt 4065 2249 L -4205 2362 mt 4239 2396 L -4239 2362 mt 4205 2396 L -4234 2362 mt 4268 2396 L -4268 2362 mt 4234 2396 L +0 j +29 50 -58 0 29 -50 1095 792 4 MP +DP +29 50 -58 0 29 -50 1623 939 4 MP +DP +29 50 -58 0 29 -50 1858 1086 4 MP +DP +29 50 -58 0 29 -50 2103 1234 4 MP +DP +29 50 -58 0 29 -50 2245 1234 4 MP +DP +29 50 -58 0 29 -50 2464 1381 4 MP +DP +29 50 -58 0 29 -50 2584 1381 4 MP +DP +29 50 -58 0 29 -50 2736 1528 4 MP +DP +29 50 -58 0 29 -50 2850 1528 4 MP +DP +29 50 -58 0 29 -50 2981 1676 4 MP +DP +29 50 -58 0 29 -50 3078 1676 4 MP +DP +29 50 -58 0 29 -50 3170 1823 4 MP +DP +29 50 -58 0 29 -50 3269 1823 4 MP +DP +29 50 -58 0 29 -50 3342 1823 4 MP +DP +29 50 -58 0 29 -50 3448 1970 4 MP +DP +29 50 -58 0 29 -50 3530 1970 4 MP +DP +29 50 -58 0 29 -50 3635 1823 4 MP +DP +29 50 -58 0 29 -50 3727 1970 4 MP +DP +29 50 -58 0 29 -50 3840 2118 4 MP +DP +29 50 -58 0 29 -50 3966 2118 4 MP +DP +29 50 -58 0 29 -50 4082 2265 4 MP +DP +29 50 -58 0 29 -50 4222 2412 4 MP +DP +29 50 -58 0 29 -50 4251 2412 4 MP +DP gr 29 148 140 0 116 147 126 147 113 0 92 147 105 0 82 148 106 147 73 0 99 0 92 0 97 147 131 148 114 0 152 0 120 147 219 147 142 148 245 147 235 0 528 147 1095 759 23 MP stroke gs 1044 708 3259 2018 MR c np -1070 759 mt 1120 759 L -1095 734 mt 1095 784 L -1598 906 mt 1648 906 L -1623 881 mt 1623 931 L -1833 906 mt 1883 906 L -1858 881 mt 1858 931 L -2078 1053 mt 2128 1053 L -2103 1028 mt 2103 1078 L -2220 1201 mt 2270 1201 L -2245 1176 mt 2245 1226 L -2439 1348 mt 2489 1348 L -2464 1323 mt 2464 1373 L -2559 1495 mt 2609 1495 L -2584 1470 mt 2584 1520 L -2711 1495 mt 2761 1495 L -2736 1470 mt 2736 1520 L -2825 1495 mt 2875 1495 L -2850 1470 mt 2850 1520 L -2956 1643 mt 3006 1643 L -2981 1618 mt 2981 1668 L -3053 1790 mt 3103 1790 L -3078 1765 mt 3078 1815 L -3145 1790 mt 3195 1790 L -3170 1765 mt 3170 1815 L -3244 1790 mt 3294 1790 L -3269 1765 mt 3269 1815 L -3317 1790 mt 3367 1790 L -3342 1765 mt 3342 1815 L -3423 1937 mt 3473 1937 L -3448 1912 mt 3448 1962 L -3505 2085 mt 3555 2085 L -3530 2060 mt 3530 2110 L -3610 2085 mt 3660 2085 L -3635 2060 mt 3635 2110 L -3702 2232 mt 3752 2232 L -3727 2207 mt 3727 2257 L -3815 2232 mt 3865 2232 L -3840 2207 mt 3840 2257 L -3941 2379 mt 3991 2379 L -3966 2354 mt 3966 2404 L -4057 2526 mt 4107 2526 L -4082 2501 mt 4082 2551 L -4197 2526 mt 4247 2526 L -4222 2501 mt 4222 2551 L -4226 2674 mt 4276 2674 L -4251 2649 mt 4251 2699 L 1078 742 mt 1112 776 L 1112 742 mt 1078 776 L 1606 889 mt 1640 923 L @@ -693,10 +648,10 @@ DA %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s - 388 1926 mt -90 rotate -(Schaetzer) s +2207 3432 mt +(Elementanzahl) s + 388 1944 mt -90 rotate +(Verhaeltnis) s 90 rotate 612 3237 mt ( ) s @@ -733,8 +688,9 @@ gs 665 2732 1524 435 MR c np c8 264 0 717 2898 2 MP stroke gs 798 2847 103 103 MR c np - 832 2881 mt 866 2915 L - 866 2881 mt 832 2915 L +0 j +29 50 -58 0 29 -50 849 2931 4 MP +DP gr gr @@ -747,8 +703,6 @@ gs 665 2732 1524 435 MR c np c8 264 0 717 2999 2 MP stroke gs 798 2948 103 103 MR c np - 824 2999 mt 874 2999 L - 849 2974 mt 849 3024 L 832 2982 mt 866 3016 L 866 2982 mt 832 3016 L gr diff --git a/doc/fig/1t05n05_3DFichCube_norm.eps b/doc/fig/1t05n05_3DFichCube_norm.eps index 9f3dfdc..237c812 100644 --- a/doc/fig/1t05n05_3DFichCube_norm.eps +++ b/doc/fig/1t05n05_3DFichCube_norm.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_3DFichCube_norm.eps -%%CreationDate: 03/29/2013 14:54:26 +%%CreationDate: 03/30/2013 22:41:02 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -675,8 +675,8 @@ DA %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s +2207 3432 mt +(Elementanzahl) s 312 1882 mt -90 rotate (eNorm) s 90 rotate diff --git a/doc/fig/1t05n05_3DFichCube_time.eps b/doc/fig/1t05n05_3DFichCube_time.eps index 1e98896..fa2da62 100644 --- a/doc/fig/1t05n05_3DFichCube_time.eps +++ b/doc/fig/1t05n05_3DFichCube_time.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/1t05n05_3DFichCube_time.eps -%%CreationDate: 03/29/2013 14:54:28 +%%CreationDate: 03/30/2013 22:57:01 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK @@ -539,8 +539,8 @@ c8 %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 83.3333 FMSR -2307 3432 mt -(Elemente) s +2207 3432 mt +(Elementanzahl) s 388 1927 mt -90 rotate (Sekunden) s 90 rotate diff --git a/doc/fig/1t05n0_2DQuad_cond.eps b/doc/fig/1t05n0_2DQuad_cond.eps new file mode 100644 index 0000000..7d09c8b --- /dev/null +++ b/doc/fig/1t05n0_2DQuad_cond.eps @@ -0,0 +1,681 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1t05n0_2DQuad_cond.eps +%%CreationDate: 03/30/2013 22:57:06 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 57 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 57 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 327 165 4112 3302 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3720 0 0 -2936 624 3206 4 MP +PP +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 563 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 655 3281 mt +(0) s + 903 3206 mt 903 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{newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +80 dict begin %Colortable 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+/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +79 dict begin %Colortable 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+/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 44 195 550 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 223 173 4216 3294 MR c np +82 dict begin %Colortable 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+c2 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t05n0_2DQuad_time.eps b/doc/fig/1t05n0_2DQuad_time.eps new file mode 100644 index 0000000..15ccf41 --- /dev/null +++ b/doc/fig/1t05n0_2DQuad_time.eps @@ -0,0 +1,668 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. 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+/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +82 dict begin %Colortable 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+gr + +c8 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t1n0_2DQuad_cond.eps b/doc/fig/1t1n0_2DQuad_cond.eps new file mode 100644 index 0000000..77be700 --- /dev/null +++ b/doc/fig/1t1n0_2DQuad_cond.eps @@ -0,0 +1,490 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. 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Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1t1n0_2DQuad_cond.eps +%%CreationDate: 03/30/2013 22:57:04 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 57 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 57 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 327 165 4112 3302 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3721 0 0 -2936 623 3206 4 MP +PP +-3721 0 0 2936 3721 0 0 -2936 623 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 623 3206 mt 4344 3206 L + 623 270 mt 4344 270 L + 623 3206 mt 623 270 L +4344 3206 mt 4344 270 L + 623 3206 mt 4344 3206 L + 623 3206 mt 623 270 L + 623 3206 mt 623 3187 L + 623 270 mt 623 288 L + 623 3206 mt 623 3168 L + 623 270 mt 623 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 562 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 654 3281 mt +(0) s + 903 3206 mt 903 3187 L + 903 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+2393 270 mt 2393 288 L +2441 3206 mt 2441 3187 L +2441 270 mt 2441 288 L +2484 3206 mt 2484 3187 L +2484 270 mt 2484 288 L +2484 3206 mt 2484 3168 L +2484 270 mt 2484 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2423 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +2515 3281 mt +(2) s +2763 3206 mt 2763 3187 L +2763 270 mt 2763 288 L +2927 3206 mt 2927 3187 L +2927 270 mt 2927 288 L +3043 3206 mt 3043 3187 L +3043 270 mt 3043 288 L +3134 3206 mt 3134 3187 L +3134 270 mt 3134 288 L +3207 3206 mt 3207 3187 L +3207 270 mt 3207 288 L +3269 3206 mt 3269 3187 L +3269 270 mt 3269 288 L +3323 3206 mt 3323 3187 L +3323 270 mt 3323 288 L +3371 3206 mt 3371 3187 L +3371 270 mt 3371 288 L +3414 3206 mt 3414 3187 L +3414 270 mt 3414 288 L +3414 3206 mt 3414 3168 L +3414 270 mt 3414 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +3353 3332 mt +(10) s 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mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 570 3185 mt +(1) s + 623 2764 mt 642 2764 L +4344 2764 mt 4325 2764 L + 623 2505 mt 642 2505 L +4344 2505 mt 4325 2505 L + 623 2322 mt 642 2322 L +4344 2322 mt 4325 2322 L + 623 2179 mt 642 2179 L +4344 2179 mt 4325 2179 L + 623 2063 mt 642 2063 L +4344 2063 mt 4325 2063 L + 623 1965 mt 642 1965 L +4344 1965 mt 4325 1965 L + 623 1880 mt 642 1880 L +4344 1880 mt 4325 1880 L + 623 1805 mt 642 1805 L +4344 1805 mt 4325 1805 L + 623 1738 mt 642 1738 L +4344 1738 mt 4325 1738 L + 623 1738 mt 661 1738 L +4344 1738 mt 4306 1738 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 478 1768 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 570 1717 mt +(2) s + 623 1296 mt 642 1296 L +4344 1296 mt 4325 1296 L + 623 1037 mt 642 1037 L +4344 1037 mt 4325 1037 L + 623 854 mt 642 854 L +4344 854 mt 4325 854 L + 623 711 mt 642 711 L +4344 711 mt 4325 711 L + 623 595 mt 642 595 L +4344 595 mt 4325 595 L + 623 497 mt 642 497 L +4344 497 mt 4325 497 L + 623 412 mt 642 412 L +4344 412 mt 4325 412 L + 623 337 mt 642 337 L +4344 337 mt 4325 337 L + 623 270 mt 642 270 L +4344 270 mt 4325 270 L + 623 270 mt 661 270 L +4344 270 mt 4306 270 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 478 300 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 570 249 mt +(3) s + 623 3206 mt 4344 3206 L + 623 270 mt 4344 270 L + 623 3206 mt 623 270 L +4344 3206 mt 4344 270 L +gs 624 270 3721 2937 MR c np +/c8 { 0.000000 0.300000 0.300000 sr} bdef +c8 +560 -442 560 -444 560 -446 560 -459 560 -495 1183 3201 6 MP stroke +gr + +c8 +gs 1132 864 2903 2389 MR c np + 25 25 1183 3201 FO + 25 25 1743 2706 FO + 25 25 2303 2247 FO + 25 25 2863 1801 FO + 25 25 3423 1357 FO + 25 25 3983 915 FO +gr + +gs 624 270 3721 2937 MR c np +gr + +0 sg +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2207 3432 mt +(Elementanzahl) s + 421 1911 mt -90 rotate +(Kondition) s +90 rotate + 612 3237 mt +( ) s +4333 300 mt +( ) s +1 sg +0 168 1040 0 0 -168 665 480 4 MP +PP +-1040 0 0 168 1040 0 0 -168 665 480 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 665 480 mt 1705 480 L + 665 480 mt 665 312 L + 977 393 mt +(cond\(A) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 66.6667 FMSR + +1241 434 mt +(h/2) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +1333 393 mt +(\) 1t1n0 A) s +gs 665 312 1041 169 MR c np +c8 +240 0 713 396 2 MP stroke +gs 782 345 103 103 MR c np + 25 25 833 396 FO +gr + +gr + +c8 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t1n0_2DQuad_error.eps b/doc/fig/1t1n0_2DQuad_error.eps new file mode 100644 index 0000000..2a346d6 --- /dev/null +++ b/doc/fig/1t1n0_2DQuad_error.eps @@ -0,0 +1,642 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1t1n0_2DQuad_error.eps +%%CreationDate: 03/30/2013 22:57:04 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +80 dict begin %Colortable 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+/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +79 dict begin %Colortable 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+4344 711 mt 4325 711 L + 624 595 mt 642 595 L +4344 595 mt 4325 595 L + 624 497 mt 642 497 L +4344 497 mt 4325 497 L + 624 412 mt 642 412 L +4344 412 mt 4325 412 L + 624 337 mt 642 337 L +4344 337 mt 4325 337 L + 624 270 mt 642 270 L +4344 270 mt 4325 270 L + 624 270 mt 661 270 L +4344 270 mt 4306 270 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 300 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 249 mt +(1) s + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L +gs 624 270 3721 2937 MR c np +/c8 { 0.000000 0.300000 0.300000 sr} bdef +c8 +560 0 560 0 560 0 560 0 560 0 1183 1738 6 MP stroke +gs 1132 1687 2903 103 MR c np + 25 25 1183 1738 FO + 25 25 1743 1738 FO + 25 25 2303 1738 FO + 25 25 2863 1738 FO + 25 25 3423 1738 FO + 25 25 3983 1738 FO +gr + +560 0 560 0 560 0 560 0 560 0 1183 1738 6 MP stroke +gs 1132 1687 2903 103 MR c np +0 j +29 50 -58 0 29 -50 1183 1771 4 MP +DP +29 50 -58 0 29 -50 1743 1771 4 MP +DP +29 50 -58 0 29 -50 2303 1771 4 MP +DP +29 50 -58 0 29 -50 2863 1771 4 MP +DP +29 50 -58 0 29 -50 3423 1771 4 MP +DP +29 50 -58 0 29 -50 3983 1771 4 MP +DP +gr + +560 0 560 0 560 0 560 0 560 0 1183 1738 6 MP stroke +gs 1132 1687 2903 103 MR c np +1166 1721 mt 1200 1755 L +1200 1721 mt 1166 1755 L +1726 1721 mt 1760 1755 L +1760 1721 mt 1726 1755 L +2286 1721 mt 2320 1755 L +2320 1721 mt 2286 1755 L +2846 1721 mt 2880 1755 L +2880 1721 mt 2846 1755 L +3406 1721 mt 3440 1755 L +3440 1721 mt 3406 1755 L +3966 1721 mt 4000 1755 L +4000 1721 mt 3966 1755 L +gr + +gr + +c8 +0 sg +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2207 3432 mt +(Elementanzahl) s + 388 1944 mt -90 rotate +(Verhaeltnis) s +90 rotate + 612 3237 mt +( ) s +4333 300 mt +( ) s +1 sg +0 333 1431 0 0 -333 665 3166 4 MP +PP +-1431 0 0 333 1431 0 0 -333 665 3166 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 665 3166 mt 2096 3166 L + 665 3166 mt 665 2833 L +1006 2928 mt +(min hmin/max hmax 1t1n0 A) s +gs 665 2833 1432 334 MR c np +c8 +262 0 717 2897 2 MP stroke +gs 797 2846 103 103 MR c np + 25 25 848 2897 FO +gr + +gr + +c8 +0 sg +1006 3030 mt +(min hmax/max hmax 1t1n0 A) s +gs 665 2833 1432 334 MR c np +c8 +262 0 717 2999 2 MP stroke +gs 797 2948 103 103 MR c np +0 j +29 50 -58 0 29 -50 848 3032 4 MP +DP +gr + +gr + +c8 +0 sg +1006 3132 mt +(min hmin/hmax 1t1n0 A) s +gs 665 2833 1432 334 MR c np +c8 +262 0 717 3101 2 MP stroke +gs 797 3050 103 103 MR c np + 831 3084 mt 865 3118 L + 865 3084 mt 831 3118 L +gr + +gr + +c8 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t1n0_2DQuad_norm.eps b/doc/fig/1t1n0_2DQuad_norm.eps new file mode 100644 index 0000000..782ed7e --- /dev/null +++ b/doc/fig/1t1n0_2DQuad_norm.eps @@ -0,0 +1,578 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1t1n0_2DQuad_norm.eps +%%CreationDate: 03/30/2013 22:41:07 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 44 195 550 591 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 44 195 550 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 223 173 4216 3294 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3720 0 0 -2936 624 3206 4 MP +PP +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 563 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 655 3281 mt +(0) s + 903 3206 mt 903 3187 L + 903 270 mt 903 288 L +1067 3206 mt 1067 3187 L +1067 270 mt 1067 288 L +1183 3206 mt 1183 3187 L +1183 270 mt 1183 288 L +1274 3206 mt 1274 3187 L +1274 270 mt 1274 288 L +1347 3206 mt 1347 3187 L +1347 270 mt 1347 288 L +1409 3206 mt 1409 3187 L +1409 270 mt 1409 288 L +1463 3206 mt 1463 3187 L +1463 270 mt 1463 288 L +1511 3206 mt 1511 3187 L +1511 270 mt 1511 288 L +1554 3206 mt 1554 3187 L +1554 270 mt 1554 288 L +1554 3206 mt 1554 3168 L +1554 270 mt 1554 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +1493 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +1585 3281 mt +(1) s +1833 3206 mt 1833 3187 L +1833 270 mt 1833 288 L +1997 3206 mt 1997 3187 L +1997 270 mt 1997 288 L +2113 3206 mt 2113 3187 L +2113 270 mt 2113 288 L +2204 3206 mt 2204 3187 L +2204 270 mt 2204 288 L +2277 3206 mt 2277 3187 L +2277 270 mt 2277 288 L +2339 3206 mt 2339 3187 L +2339 270 mt 2339 288 L +2393 3206 mt 2393 3187 L +2393 270 mt 2393 288 L +2441 3206 mt 2441 3187 L +2441 270 mt 2441 288 L +2484 3206 mt 2484 3187 L +2484 270 mt 2484 288 L +2484 3206 mt 2484 3168 L +2484 270 mt 2484 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2423 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +2515 3281 mt +(2) s +2763 3206 mt 2763 3187 L +2763 270 mt 2763 288 L +2927 3206 mt 2927 3187 L +2927 270 mt 2927 288 L +3043 3206 mt 3043 3187 L +3043 270 mt 3043 288 L +3134 3206 mt 3134 3187 L +3134 270 mt 3134 288 L +3207 3206 mt 3207 3187 L +3207 270 mt 3207 288 L +3269 3206 mt 3269 3187 L +3269 270 mt 3269 288 L +3323 3206 mt 3323 3187 L +3323 270 mt 3323 288 L +3371 3206 mt 3371 3187 L +3371 270 mt 3371 288 L +3414 3206 mt 3414 3187 L +3414 270 mt 3414 288 L +3414 3206 mt 3414 3168 L +3414 270 mt 3414 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +3353 3332 mt +(10) s 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3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 2898 mt 661 2898 L +4344 2898 mt 4306 2898 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 400 2928 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 492 2877 mt +(0.63) s + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 2131 mt 661 2131 L +4344 2131 mt 4306 2131 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 400 2161 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 492 2110 mt +(0.64) s + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 1365 mt 661 1365 L +4344 1365 mt 4306 1365 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 400 1395 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 492 1344 mt +(0.65) s + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 598 mt 661 598 L +4344 598 mt 4306 598 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 400 628 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 492 577 mt +(0.66) s + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L +gs 624 270 3721 2937 MR c np +/c8 { 0.000000 0.300000 0.300000 sr} bdef +c8 +560 -110 560 -213 560 -401 560 -722 560 -1324 1183 3206 6 MP stroke +gr + +c8 +gs 1132 385 2903 2873 MR c np + 25 25 1183 3206 FO + 25 25 1743 1882 FO + 25 25 2303 1160 FO + 25 25 2863 759 FO + 25 25 3423 546 FO + 25 25 3983 436 FO +gr + +gs 624 270 3721 2937 MR c np +DD +c2 +560 0 560 0 560 0 560 0 560 0 1183 320 6 MP stroke +gr + +c2 +DD +0 sg +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2207 3432 mt +(Elementanzahl) s + 343 1882 mt -90 rotate +(eNorm) s +90 rotate +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 66.6667 FMSR + + 302 1630 mt -90 rotate +(2) s +90 rotate +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 612 3237 mt +( ) s +4333 300 mt +( ) s +SO +1 sg +0 232 764 0 0 -232 3539 3166 4 MP +PP +-764 0 0 232 764 0 0 -232 3539 3166 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg +3539 3166 mt 4303 3166 L +3539 2934 mt 4303 2934 L +3539 3166 mt 3539 2934 L +4303 3166 mt 4303 2934 L +3539 3166 mt 4303 3166 L +3539 3166 mt 3539 2934 L +3539 3166 mt 4303 3166 L +3539 2934 mt 4303 2934 L +3539 3166 mt 3539 2934 L +4303 3166 mt 4303 2934 L +3834 3029 mt +(1t1n0 A) s +gs 3539 2934 765 233 MR c np +c8 +226 0 3584 2999 2 MP stroke +gs 3646 2948 103 103 MR c np + 25 25 3697 2999 FO +gr + +gr + +c8 +0 sg +3834 3132 mt +(extrapoliert) s +gs 3539 2934 765 233 MR c np +DD +c2 +226 0 3584 3100 2 MP stroke +SO +gr + +c2 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1t1n0_2DQuad_time.eps b/doc/fig/1t1n0_2DQuad_time.eps new file mode 100644 index 0000000..3f21621 --- /dev/null +++ b/doc/fig/1t1n0_2DQuad_time.eps @@ -0,0 +1,597 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1t1n0_2DQuad_time.eps +%%CreationDate: 03/30/2013 22:57:05 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3720 0 0 -2936 624 3206 4 MP +PP +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 563 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 655 3281 mt +(0) s + 903 3206 mt 903 3187 L + 903 270 mt 903 288 L +1067 3206 mt 1067 3187 L +1067 270 mt 1067 288 L +1183 3206 mt 1183 3187 L +1183 270 mt 1183 288 L +1274 3206 mt 1274 3187 L +1274 270 mt 1274 288 L +1347 3206 mt 1347 3187 L +1347 270 mt 1347 288 L +1409 3206 mt 1409 3187 L +1409 270 mt 1409 288 L +1463 3206 mt 1463 3187 L +1463 270 mt 1463 288 L +1511 3206 mt 1511 3187 L +1511 270 mt 1511 288 L +1554 3206 mt 1554 3187 L +1554 270 mt 1554 288 L +1554 3206 mt 1554 3168 L +1554 270 mt 1554 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +1493 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +1585 3281 mt +(1) s +1833 3206 mt 1833 3187 L +1833 270 mt 1833 288 L +1997 3206 mt 1997 3187 L +1997 270 mt 1997 288 L +2113 3206 mt 2113 3187 L +2113 270 mt 2113 288 L +2204 3206 mt 2204 3187 L +2204 270 mt 2204 288 L +2277 3206 mt 2277 3187 L +2277 270 mt 2277 288 L +2339 3206 mt 2339 3187 L +2339 270 mt 2339 288 L +2393 3206 mt 2393 3187 L +2393 270 mt 2393 288 L +2441 3206 mt 2441 3187 L +2441 270 mt 2441 288 L +2484 3206 mt 2484 3187 L +2484 270 mt 2484 288 L +2484 3206 mt 2484 3168 L +2484 270 mt 2484 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2423 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +2515 3281 mt +(2) s +2763 3206 mt 2763 3187 L +2763 270 mt 2763 288 L +2927 3206 mt 2927 3187 L +2927 270 mt 2927 288 L +3043 3206 mt 3043 3187 L +3043 270 mt 3043 288 L +3134 3206 mt 3134 3187 L +3134 270 mt 3134 288 L +3207 3206 mt 3207 3187 L +3207 270 mt 3207 288 L +3269 3206 mt 3269 3187 L +3269 270 mt 3269 288 L +3323 3206 mt 3323 3187 L +3323 270 mt 3323 288 L +3371 3206 mt 3371 3187 L +3371 270 mt 3371 288 L +3414 3206 mt 3414 3187 L +3414 270 mt 3414 288 L +3414 3206 mt 3414 3168 L +3414 270 mt 3414 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +3353 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +3445 3281 mt +(3) s +3693 3206 mt 3693 3187 L +3693 270 mt 3693 288 L +3857 3206 mt 3857 3187 L +3857 270 mt 3857 288 L +3973 3206 mt 3973 3187 L +3973 270 mt 3973 288 L +4064 3206 mt 4064 3187 L +4064 270 mt 4064 288 L +4137 3206 mt 4137 3187 L +4137 270 mt 4137 288 L +4199 3206 mt 4199 3187 L +4199 270 mt 4199 288 L +4253 3206 mt 4253 3187 L +4253 270 mt 4253 288 L +4301 3206 mt 4301 3187 L +4301 270 mt 4301 288 L +4344 3206 mt 4344 3187 L +4344 270 mt 4344 288 L +4344 3206 mt 4344 3168 L +4344 270 mt 4344 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +4283 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + +4375 3281 mt +(4) s + 624 3206 mt 642 3206 L +4344 3206 mt 4325 3206 L + 624 3206 mt 661 3206 L +4344 3206 mt 4306 3206 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 3236 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 3185 mt +(-2) s + 624 3058 mt 642 3058 L +4344 3058 mt 4325 3058 L + 624 2972 mt 642 2972 L +4344 2972 mt 4325 2972 L + 624 2911 mt 642 2911 L +4344 2911 mt 4325 2911 L + 624 2863 mt 642 2863 L +4344 2863 mt 4325 2863 L + 624 2825 mt 642 2825 L +4344 2825 mt 4325 2825 L + 624 2792 mt 642 2792 L +4344 2792 mt 4325 2792 L + 624 2764 mt 642 2764 L +4344 2764 mt 4325 2764 L + 624 2739 mt 642 2739 L +4344 2739 mt 4325 2739 L + 624 2716 mt 642 2716 L +4344 2716 mt 4325 2716 L + 624 2716 mt 661 2716 L +4344 2716 mt 4306 2716 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 2746 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 2695 mt +(-1) s + 624 2569 mt 642 2569 L +4344 2569 mt 4325 2569 L + 624 2483 mt 642 2483 L +4344 2483 mt 4325 2483 L + 624 2422 mt 642 2422 L +4344 2422 mt 4325 2422 L + 624 2374 mt 642 2374 L +4344 2374 mt 4325 2374 L + 624 2335 mt 642 2335 L +4344 2335 mt 4325 2335 L + 624 2303 mt 642 2303 L +4344 2303 mt 4325 2303 L + 624 2274 mt 642 2274 L +4344 2274 mt 4325 2274 L + 624 2249 mt 642 2249 L +4344 2249 mt 4325 2249 L + 624 2227 mt 642 2227 L +4344 2227 mt 4325 2227 L + 624 2227 mt 661 2227 L +4344 2227 mt 4306 2227 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 2257 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 2206 mt +(0) s + 624 2080 mt 642 2080 L +4344 2080 mt 4325 2080 L + 624 1993 mt 642 1993 L +4344 1993 mt 4325 1993 L + 624 1932 mt 642 1932 L +4344 1932 mt 4325 1932 L + 624 1885 mt 642 1885 L +4344 1885 mt 4325 1885 L + 624 1846 mt 642 1846 L +4344 1846 mt 4325 1846 L + 624 1813 mt 642 1813 L +4344 1813 mt 4325 1813 L + 624 1785 mt 642 1785 L +4344 1785 mt 4325 1785 L + 624 1760 mt 642 1760 L +4344 1760 mt 4325 1760 L + 624 1738 mt 642 1738 L +4344 1738 mt 4325 1738 L + 624 1738 mt 661 1738 L +4344 1738 mt 4306 1738 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 1768 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 1717 mt +(1) s + 624 1590 mt 642 1590 L +4344 1590 mt 4325 1590 L + 624 1504 mt 642 1504 L +4344 1504 mt 4325 1504 L + 624 1443 mt 642 1443 L +4344 1443 mt 4325 1443 L + 624 1395 mt 642 1395 L +4344 1395 mt 4325 1395 L + 624 1357 mt 642 1357 L +4344 1357 mt 4325 1357 L + 624 1324 mt 642 1324 L +4344 1324 mt 4325 1324 L + 624 1296 mt 642 1296 L +4344 1296 mt 4325 1296 L + 624 1271 mt 642 1271 L +4344 1271 mt 4325 1271 L + 624 1248 mt 642 1248 L +4344 1248 mt 4325 1248 L + 624 1248 mt 661 1248 L +4344 1248 mt 4306 1248 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 1278 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 1227 mt +(2) s + 624 1101 mt 642 1101 L +4344 1101 mt 4325 1101 L + 624 1015 mt 642 1015 L +4344 1015 mt 4325 1015 L + 624 954 mt 642 954 L +4344 954 mt 4325 954 L + 624 906 mt 642 906 L +4344 906 mt 4325 906 L + 624 867 mt 642 867 L +4344 867 mt 4325 867 L + 624 835 mt 642 835 L +4344 835 mt 4325 835 L + 624 806 mt 642 806 L +4344 806 mt 4325 806 L + 624 781 mt 642 781 L +4344 781 mt 4325 781 L + 624 759 mt 642 759 L +4344 759 mt 4325 759 L + 624 759 mt 661 759 L +4344 759 mt 4306 759 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 445 789 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 537 738 mt +(3) s + 624 612 mt 642 612 L +4344 612 mt 4325 612 L + 624 525 mt 642 525 L +4344 525 mt 4325 525 L + 624 464 mt 642 464 L +4344 464 mt 4325 464 L + 624 417 mt 642 417 L +4344 417 mt 4325 417 L + 624 378 mt 642 378 L +4344 378 mt 4325 378 L + 624 345 mt 642 345 L +4344 345 mt 4325 345 L + 624 317 mt 642 317 L +4344 317 mt 4325 317 L + 624 292 mt 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+-801 0 0 131 801 0 0 -131 665 443 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 665 443 mt 1466 443 L + 665 443 mt 665 312 L + 974 408 mt +(Zeit 1t1n0 A) s +gs 665 312 802 132 MR c np +c8 +237 0 712 377 2 MP stroke +gs 780 326 103 103 MR c np + 25 25 831 377 FO +gr + +gr + +c8 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1tn_2DQuad_cond.eps b/doc/fig/1tn_2DQuad_cond.eps new file mode 100644 index 0000000..35e5387 --- /dev/null +++ b/doc/fig/1tn_2DQuad_cond.eps @@ -0,0 +1,710 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1tn_2DQuad_cond.eps +%%CreationDate: 03/30/2013 22:57:08 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 296 165 4143 3302 MR c np +82 dict begin %Colortable dictionary +/c0 { 0.000000 0.000000 0.000000 sr} bdef +/c1 { 1.000000 1.000000 1.000000 sr} bdef +/c2 { 0.900000 0.000000 0.000000 sr} bdef +/c3 { 0.000000 0.820000 0.000000 sr} bdef +/c4 { 0.000000 0.000000 0.800000 sr} bdef +/c5 { 0.910000 0.820000 0.320000 sr} bdef +/c6 { 1.000000 0.260000 0.820000 sr} bdef +/c7 { 0.000000 0.820000 0.820000 sr} bdef +c0 +1 j +1 sg + 0 0 4801 3603 PR +4.16667 w +0 2936 3720 0 0 -2936 624 3206 4 MP +PP +-3720 0 0 2936 3720 0 0 -2936 624 3206 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L + 624 3206 mt 4344 3206 L + 624 3206 mt 624 270 L + 624 3206 mt 624 3187 L + 624 270 mt 624 288 L + 624 3206 mt 624 3168 L + 624 270 mt 624 307 L +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + + 563 3332 mt +(10) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 55.5556 FMSR + + 655 3281 mt +(0) s + 903 3206 mt 903 3187 L + 903 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L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 624 3206 L + 624 3206 mt 4344 3206 L + 624 270 mt 4344 270 L + 624 3206 mt 624 270 L +4344 3206 mt 4344 270 L +gs 624 270 3721 2937 MR c np +/c8 { 0.000000 0.300000 0.300000 sr} bdef +c8 +560 -59 560 -59 560 -60 560 -61 560 -66 1183 3009 6 MP stroke +gs 1132 2653 2903 408 MR c np + 25 25 1183 3009 FO + 25 25 1743 2943 FO + 25 25 2303 2882 FO + 25 25 2863 2822 FO + 25 25 3423 2763 FO + 25 25 3983 2704 FO +gr + +/c9 { 0.000000 0.600000 0.600000 sr} bdef +c9 +126 0 151 -174 119 13 161 -163 117 -89 163 0 121 -177 163 0 +136 -176 176 0 160 -175 247 -174 255 -143 305 -158 560 -66 1183 3009 16 MP stroke +gs 1132 1476 3063 1585 MR c np +0 j +29 50 -58 0 29 -50 1183 3042 4 MP +DP +29 50 -58 0 29 -50 1743 2976 4 MP +DP +29 50 -58 0 29 -50 2048 2818 4 MP +DP +29 50 -58 0 29 -50 2303 2675 4 MP +DP +29 50 -58 0 29 -50 2550 2501 4 MP +DP +29 50 -58 0 29 -50 2710 2326 4 MP +DP +29 50 -58 0 29 -50 2886 2326 4 MP +DP +29 50 -58 0 29 -50 3022 2150 4 MP +DP +29 50 -58 0 29 -50 3185 2150 4 MP +DP +29 50 -58 0 29 -50 3306 1973 4 MP +DP +29 50 -58 0 29 -50 3469 1973 4 MP +DP +29 50 -58 0 29 -50 3586 1884 4 MP +DP +29 50 -58 0 29 -50 3747 1721 4 MP +DP +29 50 -58 0 29 -50 3866 1734 4 MP +DP +29 50 -58 0 29 -50 4017 1560 4 MP +DP +29 50 -58 0 29 -50 4143 1560 4 MP +DP +gr + +/c10 { 0.600000 0.000000 0.600000 sr} bdef +c10 +65 -230 95 -77 107 -467 99 19 97 -140 94 4 87 -174 72 -140 +55 -15 84 -149 54 1 64 1 60 -168 61 88 61 -177 45 0 +62 -177 48 0 52 0 70 -176 51 0 90 -177 71 0 103 2 +123 -172 190 -158 254 -155 560 -66 1183 3009 29 MP stroke +gr + +c10 +gs 1132 255 2977 2806 MR c np +1166 2992 mt 1200 3026 L +1200 2992 mt 1166 3026 L +1726 2926 mt 1760 2960 L +1760 2926 mt 1726 2960 L +1980 2771 mt 2014 2805 L +2014 2771 mt 1980 2805 L +2170 2613 mt 2204 2647 L +2204 2613 mt 2170 2647 L +2293 2441 mt 2327 2475 L +2327 2441 mt 2293 2475 L +2396 2443 mt 2430 2477 L +2430 2443 mt 2396 2477 L +2467 2443 mt 2501 2477 L +2501 2443 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L +3880 596 mt 3914 630 L +3914 596 mt 3880 630 L +3975 519 mt 4009 553 L +4009 519 mt 3975 553 L +4040 289 mt 4074 323 L +4074 289 mt 4040 323 L +gr + +gs 624 270 3721 2937 MR c np +gr + +0 sg +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +2207 3432 mt +(Elementanzahl) s + 390 1911 mt -90 rotate +(Kondition) s +90 rotate + 612 3237 mt +( ) s +4333 300 mt +( ) s +1 sg +0 447 1132 0 0 -447 665 759 4 MP +PP +-1132 0 0 447 1132 0 0 -447 665 759 5 MP stroke +2.77778 w +DO +SO +4.16667 w +0 sg + 665 759 mt 1797 759 L + 665 759 mt 665 312 L + 982 392 mt +(cond\(A) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 66.6667 FMSR + +1246 433 mt +(h/2) s +%%IncludeResource: font Helvetica +/Helvetica /ISOLatin1Encoding 83.3333 FMSR + +1338 392 mt +(\) 1t1n0 A) s +gs 665 312 1133 448 MR c np +c8 +243 0 713 395 2 MP stroke +gs 784 344 103 103 MR c np + 25 25 835 395 FO +gr + +gr + +c8 +0 sg + 982 532 mt +(cond\(A) s +%%IncludeResource: font 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+1,1074 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1tn_2DQuad_error.eps +%%CreationDate: 03/30/2013 22:57:07 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +82 dict begin %Colortable dictionary 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+eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1tn_2DQuad_hminmax.eps b/doc/fig/1tn_2DQuad_hminmax.eps new file mode 100644 index 0000000..358aa4e --- /dev/null +++ b/doc/fig/1tn_2DQuad_hminmax.eps @@ -0,0 +1,1150 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. 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Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1tn_2DQuad_hminmax.eps +%%CreationDate: 03/30/2013 22:57:07 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +81 dict begin %Colortable 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MP stroke +gs 798 2746 103 103 MR c np + 824 2797 mt 874 2797 L + 849 2772 mt 849 2822 L +gr + +gr + +c9 +0 sg +1008 2929 mt +(min hmin/max hmax 1t05n05 A) s +gs 665 2226 1524 941 MR c np +c10 +264 0 717 2898 2 MP stroke +gs 798 2847 103 103 MR c np +0 j +-14 -11 5 -17 -15 10 -14 -10 5 17 -14 11 18 0 5 17 +6 -17 18 0 825 2890 11 MP +DP +gr + +gr + +c10 +0 sg +1008 3031 mt +(min hmax/max hmax 1t05n05 A) s +gs 665 2226 1524 941 MR c np +c10 +264 0 717 2999 2 MP stroke +gs 798 2948 103 103 MR c np +0 j +0 -40 -40 0 0 40 40 0 829 2979 5 MP +DP +gr + +gr + +c10 +0 sg +1008 3132 mt +(min hmin/hmax 1t05n05 A) s +gs 665 2226 1524 941 MR c np +c10 +264 0 717 3101 2 MP stroke +gs 798 3050 103 103 MR c np +0 j +25 33 -25 33 -25 -33 25 -33 849 3134 5 MP +DP +gr + +gr + +c10 + +end %%Color Dict + +eplot +%%EndObject + +epage +end + +showpage + +%%Trailer +%%EOF diff --git a/doc/fig/1tn_2DQuad_norm.eps b/doc/fig/1tn_2DQuad_norm.eps new file mode 100644 index 0000000..6c4c971 --- /dev/null +++ b/doc/fig/1tn_2DQuad_norm.eps @@ -0,0 +1,672 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1tn_2DQuad_norm.eps +%%CreationDate: 03/30/2013 22:41:11 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 44 195 550 591 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 44 195 550 591 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 223 173 4216 3294 MR c np +82 dict begin %Colortable dictionary 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Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. +%%Title: ../doc/fig/1tn_2DQuad_time.eps +%%CreationDate: 03/30/2013 22:57:08 +%%DocumentNeededFonts: Helvetica +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Extensions: CMYK +%%Pages: 1 +%%BoundingBox: 53 195 550 592 +%%EndComments + +%%BeginProlog +% MathWorks dictionary +/MathWorks 160 dict begin +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef +/rm /rmoveto ldef +/rl /rlineto ldef +/s {show newpath} bdef +/sc {setcmykcolor} bdef +/sr /setrgbcolor ldef +/sg /setgray ldef +/w /setlinewidth ldef +/j /setlinejoin ldef +/cap /setlinecap ldef +/rc {rectclip} bdef +/rf {rectfill} bdef +% page state control +/pgsv () def +/bpage {/pgsv save def} bdef +/epage {pgsv restore} bdef +/bplot /gsave ldef +/eplot {stroke grestore} bdef +% orientation switch +/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def +% coordinate system mappings +/dpi2point 0 def +% font control +/FontSize 0 def +/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] + makefont setfont} bdef +/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse + exch dup 3 1 roll findfont dup length dict begin + { 1 index /FID ne {def}{pop pop} ifelse } forall + /Encoding exch def currentdict end definefont pop} bdef +/isroman {findfont /CharStrings get /Agrave known} bdef +/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse + exch FMS} bdef +/csm {1 dpi2point div -1 dpi2point div scale neg translate + dup landscapeMode eq {pop -90 rotate} + {rotateMode eq {90 rotate} if} ifelse} bdef +% line types: solid, dotted, dashed, dotdash +/SO { [] 0 setdash } bdef +/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef +/DA { [6 dpi2point mul] 0 setdash } bdef +/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 + dpi2point mul] 0 setdash } bdef +% macros for lines and objects +/L {lineto stroke} bdef +/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef +/AP {{rlineto} repeat} bdef +/PDlw -1 def +/W {/PDlw currentlinewidth def setlinewidth} def +/PP {closepath eofill} bdef +/DP {closepath stroke} bdef +/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} bdef +/FR {MR stroke} bdef +/PR {MR fill} bdef +/L1i {{currentfile picstr readhexstring pop} image} bdef +/tMatrix matrix def +/MakeOval {newpath tMatrix currentmatrix pop translate scale +0 0 1 0 360 arc tMatrix setmatrix} bdef +/FO {MakeOval stroke} bdef +/PO {MakeOval fill} bdef +/PD {currentlinewidth 2 div 0 360 arc fill + PDlw -1 eq not {PDlw w /PDlw -1 def} if} def +/FA {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef +/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef +/FAn {newpath tMatrix currentmatrix pop translate scale + 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef +/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale + 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef +/vradius 0 def /hradius 0 def /lry 0 def +/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def +/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef + /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly + vradius add translate hradius vradius scale 0 0 1 180 270 arc + tMatrix setmatrix lrx hradius sub uly vradius add translate + hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix + lrx hradius sub lry vradius sub translate hradius vradius scale + 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub + translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix + closepath} bdef +/FRR {MRR stroke } bdef +/PRR {MRR fill } bdef +/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix + closepath} bdef +/FlrRR {MlrRR stroke } bdef +/PlrRR {MlrRR fill } bdef +/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def + newpath tMatrix currentmatrix pop ulx rad add uly rad add translate + rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad + sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix + closepath} bdef +/FtbRR {MtbRR stroke } bdef +/PtbRR {MtbRR fill } bdef +/stri 6 array def /dtri 6 array def +/smat 6 array def /dmat 6 array def +/tmat1 6 array def /tmat2 6 array def /dif 3 array def +/asub {/ind2 exch def /ind1 exch def dup dup + ind1 get exch ind2 get sub exch } bdef +/tri_to_matrix { + 2 0 asub 3 1 asub 4 0 asub 5 1 asub + dup 0 get exch 1 get 7 -1 roll astore } bdef +/compute_transform { + dmat dtri tri_to_matrix tmat1 invertmatrix + smat stri tri_to_matrix tmat2 concatmatrix } bdef +/ds {stri astore pop} bdef +/dt {dtri astore pop} bdef +/db {2 copy /cols xdef /rows xdef mul dup 3 mul string + currentfile exch readhexstring pop + dup 0 3 index getinterval /rbmap xdef + dup 2 index dup getinterval /gbmap xdef + 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef +/it {gs np dtri aload pop moveto lineto lineto cp c + cols rows 8 compute_transform + rbmap gbmap bbmap true 3 colorimage gr}bdef +/il {newpath moveto lineto stroke}bdef +currentdict end def +%%EndProlog + +%%BeginSetup +MathWorks begin + +0 cap + +end +%%EndSetup + +%%Page: 1 1 +%%BeginPageSetup +%%PageBoundingBox: 53 195 550 592 +MathWorks begin +bpage +%%EndPageSetup + +%%BeginObject: obj1 +bplot + +/dpi2point 8.33333 def +portraitMode 0150 5100 csm + + 294 165 4145 3302 MR c np +82 dict begin %Colortable dictionary 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Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/net1.eps -%%CreationDate: 03/29/2013 14:54:23 +%%CreationDate: 03/30/2013 22:56:58 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK diff --git a/doc/fig/net_single.eps b/doc/fig/net_single.eps index bcd5009..ec690ba 100644 --- a/doc/fig/net_single.eps +++ b/doc/fig/net_single.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/net_single.eps -%%CreationDate: 03/29/2013 14:54:24 +%%CreationDate: 03/30/2013 22:56:59 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK diff --git a/doc/fig/net_wrong.eps b/doc/fig/net_wrong.eps index 2b49cb3..8e097d8 100644 --- a/doc/fig/net_wrong.eps +++ b/doc/fig/net_wrong.eps @@ -1,7 +1,7 @@ %!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #63-Ubuntu SMP Wed Mar 20 17:18:21 UTC 2013 x86_64. +%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-40-generic #64-Ubuntu SMP Mon Mar 25 21:22:10 UTC 2013 x86_64. %%Title: ../doc/fig/net_wrong.eps -%%CreationDate: 03/29/2013 14:54:23 +%%CreationDate: 03/30/2013 22:56:58 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK diff --git a/src/A_plots.m b/src/A_plots.m index 4a4ed88..83128ab 100644 --- a/src/A_plots.m +++ b/src/A_plots.m @@ -8,16 +8,18 @@ figure(8) % type2str = {'Analytisch ' 'Quad Element' 'Quad Achse ' 'Quad Seite '}; type2str = {'A ' 'QA' 'QEQA' 'QA ' 'QS '}; -type2sym = {'-o' '-x' '-*' '-+' '-.'}; -type2color = [[0 .3 .3]; [0 .6 .6]; [0 0 .6 ]; [.9 0 0]]; +type2sym = {'o-' 'v-' 'x-' '.-' '^-','+-','p-','s-','d-'}; +type2color = [[0 .3 .3]; [0 .6 .6]; [.6 0 .6 ]; [.9 0 0]]; set(0,'DefaultAxesColorOrder',type2color,... - 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') + 'DefaultAxesLineStyleOrder','o-|v-|x-') - set(4,'DefaultAxesColorOrder',type2color(1,:),... - 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') - set(6,'DefaultAxesColorOrder',type2color(1,:),... - 'DefaultAxesLineStyleOrder','-o|-x|-*|-.|--|:') + set(4,'DefaultAxesColorOrder',type2color(1,:)... +... ,'DefaultAxesLineStyleOrder','.-|-o|-x|-*|-.|--|:'... + ); + set(6,'DefaultAxesColorOrder',type2color(1,:)... +... ,'DefaultAxesLineStyleOrder','.-|-o|-x|-*|-.|--|:'... + ); G_D=[]; X = []; @@ -71,9 +73,9 @@ for i = 1:length(files) l1 = {type2str{data(1,[2+(0:step-1)*rows])}}; for i = 1:step leg0 = {leg0{:}... - ['t\mu ' l0 l1{i}]... + ['tmu ' l0 l1{i}]... ... ['tilde \mu_2 ' l0 l1{i}]... - ['\eta ' l0 l1{i}]... + ['eta ' l0 l1{i}]... ['fehler ' l0 l1{i}]... ... ['\mu ' l0 l1{i}]... ... ['\kappa ' l0 l1{i}]... @@ -149,98 +151,107 @@ i=0; first = 1 +find(([ (G_D(2:end,2+rows*i)-G_D(1:end-1,2+rows*i))./G_D(2:end,2+rows*i)])>=0,1); Ferr = (X(first,i+1)+X(first-1,i+1))/2; -loglog(repmat(X(:,i+1),1,3),[G_D(:,2+rows*i) ... +loglog(X(:,i+1),G_D(:,2+rows*i),type2sym{i*3+1}, ... ... G_D(:,2+8+rows*i)... - G_D(:,2+1+rows*i)...*(G_D(k,2)-shift)/G_D(k,3)...*G_D(1,2)/G_D(1,2+1+rows*i) ... - sqrt(abs(sol - G_D(:,2+2+rows*i)))...*(G_D(k,2)-shift)/G_D(k,3)... + X(:,i+1),G_D(:,2+1+rows*i),type2sym{i*3+2},...*(G_D(k,2)-shift)/G_D(k,3)...*G_D(1,2)/G_D(1,2+1+rows*i) ... + X(:,i+1),sqrt(abs(sol - G_D(:,2+2+rows*i))),type2sym{i*3+3},...*(G_D(k,2)-shift)/G_D(k,3)... ... G_D(:,2+3+rows*i)...*G_D(1,2)/G_D(1,2+3+rows*i) ... ... [ 0; sqrt(G_D(2:end,2+9+rows*i)-G_D(1:end-1,2+9+rows*i))]... ... [ 0; sqrt(G_D(2:end,2+2+rows*i)-G_D(1:end-1,2+2+rows*i))]... ... G_D(:,2+10+rows*i)... - ],'color', type2color(i+1,:)); + 'color', type2color(i+1,:)); hold on for i = 1:step-1 -loglog(repmat(X(:,i+1),1,3),[G_D(:,2+rows*i) ... +loglog(X(:,i+1),G_D(:,2+rows*i),type2sym{i*3+1}, ... ... G_D(:,2+8+rows*i)... - G_D(:,2+1+rows*i)...*G_D(1,2)/G_D(1,2+1+rows*i) ... - sqrt(abs(sol - G_D(:,2+2+rows*i)))...*G_D(1,2)/sqrt(abs(sol - G_D(1,2+2+rows*i)))... + X(:,i+1),G_D(:,2+1+rows*i),type2sym{i*3+2},...*(G_D(k,2)-shift)/G_D(k,3)...*G_D(1,2)/G_D(1,2+1+rows*i) ... + X(:,i+1),sqrt(abs(sol - G_D(:,2+2+rows*i))),type2sym{i*3+3},...*(G_D(k,2)-shift)/G_D(k,3)... ... G_D(:,2+3+rows*i)...*G_D(1,2)/G_D(1,2+3+rows*i) ... ... [ 0; sqrt(G_D(2:end,2+9+rows*i)-G_D(1:end-1,2+9+rows*i))]... ... [ 0; sqrt(G_D(2:end,2+2+rows*i)-G_D(1:end-1,2+2+rows*i))]... ... G_D(:,2+10+rows*i)... - ],'color', type2color(i+1,:)); + 'color', type2color(i+1,:)); end -loglog(X(:,1),7*X(:,1).^(-1/2),'-.',... +loglog(X(:,1),9*X(:,1).^(-1/2),'-.',... X(:,1),3*X(:,1).^(-1/4),':',... X(:,1),2*X(:,1).^(-3/4),'--','color', [.9 .6 0]) +if(~isempty(Ferr)) loglog([Ferr; Ferr],... [min(G_D(:,3+rows*[0:step-1]))*0.6; max(G_D(:,2+rows*[0:step-1]))*1.3],... '--','color',[.9 0 0]); +end hold off % title(['Fehler ' t0]) -xlabel('Elemente'); +xlabel('Elementanzahl'); ylabel('Schaetzer'); legend({leg0{:} ... - 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... + 'N-12' 'N-14' 'N-34'... 'erste Fehler' ... } ,'location','southwest','box', 'off'); print('-r600','-depsc',[printt '_error.eps']) -%% Plotte eNorm -figure(5) -loglog(repmat(X(:,1),1,1),G_D(:,2+2),type2sym{1}); -hold on -for i = 1:step-1 - loglog(repmat(X(:,i+1),1,1),G_D(:,2+2+i*rows),'color', type2color(i+1,:)); -end -loglog(X(:,1),repmat(sol,size(X,1),1),'-.', 'color', [.9 0 0]) -loglog([Ferr; Ferr],... - [min(G_D(:,4+rows*[0:step-1]))*0.6; max(G_D(:,4+rows*[0:step-1]))*1.1],... - '--','color',[.9 0 0]); -hold off -ylim([min(min(G_D(:,[4+(0:step-1)*rows]))) 1.005*max(max(G_D(:,[4+(0:step-1)*rows])))]) -% title(['Energie Norm ' t0]) -xlabel('Elemente'); -ylabel('eNorm^2'); -legend({leg1{:} , 'extrapoliert', 'erste Fehler' },'location','SouthEast'); - - -print('-r600','-depsc',[printt '_norm.eps']) +% %% Plotte eNorm +% figure(5) +% loglog(repmat(X(:,1),1,1),G_D(:,2+2),type2sym{1}); +% hold on +% for i = 1:step-1 +% loglog(repmat(X(:,i+1),1,1),G_D(:,2+2+i*rows),'color', type2color(i+1,:)); +% end +% loglog(X(:,1),repmat(sol,size(X,1),1),'-.', 'color', [.9 0 0]) +% if(~isempty(Ferr)) +% loglog([Ferr; Ferr],... +% [min(G_D(:,4+rows*[0:step-1]))*0.6; max(G_D(:,4+rows*[0:step-1]))*1.1],... +% '--','color',[.9 0 0]); +% end +% hold off +% ylim([min(min(G_D(:,[4+(0:step-1)*rows]))) 1.005*max(max(G_D(:,[4+(0:step-1)*rows])))]) +% % title(['Energie Norm ' t0]) +% xlabel('Elementanzahl'); +% ylabel('eNorm^2'); +% legend({leg1{:} , 'extrapoliert', 'erste Fehler' },'location','SouthEast'); +% +% +% print('-r600','-depsc',[printt '_norm.eps']) %% Plotte HMIN HMAX figure(6) i=0; -loglog(repmat(X(:,i+1),1,3),[... - G_D(:,2+4+rows*i)... - G_D(:,2+5+rows*i)... - G_D(:,2+6+rows*i)... - ],'color', type2color(i+1,:)); +loglog(... + X(:,i+1),G_D(:,2+4+rows*i),type2sym{i*3+1},... + X(:,i+1),G_D(:,2+5+rows*i),type2sym{i*3+2},... + X(:,i+1),G_D(:,2+6+rows*i),type2sym{i*3+3},... + 'color', type2color(i+1,:)); hold on for i = 1:step-1 -loglog(repmat(X(:,i+1),1,3),[... - G_D(:,2+4+rows*i)... - G_D(:,2+5+rows*i)... - G_D(:,2+6+rows*i)... - ],'color', type2color(i+1,:)); +loglog(... + X(:,i+1),G_D(:,2+4+rows*i),type2sym{i*3+1},... + X(:,i+1),G_D(:,2+5+rows*i),type2sym{i*3+2},... + X(:,i+1),G_D(:,2+6+rows*i),type2sym{i*3+3},... + 'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') +if(~isempty(Ferr)) loglog([Ferr; Ferr],... [min(G_D(:,6+rows*[0:step-1]))*0.6; max(G_D(:,6+rows*[0:step-1]))*1.3],... '--','color',[.9 0 0]); +end + +% ylim([min(min(G_D(:,[5+(0:step-1)*rows])))*0.8 1.2*max(max(G_D(:,[5+(0:step-1)*rows])))]) + hold off % title(['hmin hmax ' t0]) -xlabel('Elemente'); -ylabel('Schaetzer'); +xlabel('Elementanzahl'); +ylabel('Verhaeltnis'); legend({leg2{:} ... 'erste Fehler' ... % 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... @@ -249,29 +260,31 @@ legend({leg2{:} ... print('-r600','-depsc',[printt '_hminmax.eps']) -%% Plotte cond +%% Plotte Kond figure(7) i=0; -loglog(repmat(X(:,i+1),1,1),[... +loglog(repmat(X(:,i+1),1,1),... G_D(:,2+7+rows*i)... - ],'color', type2color(i+1,:)); + ,type2sym{i+1},'color', type2color(i+1,:)); hold on for i = 1:step-1 -loglog(repmat(X(:,i+1),1,1),[... +loglog(repmat(X(:,i+1),1,1),... G_D(:,2+7+rows*i)... - ],'color', type2color(i+1,:)); + ,type2sym{i+1},'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') +if(~isempty(Ferr)) loglog([Ferr; Ferr],... [min(G_D(:,9+rows*[0:step-1]))*0.6; max(G_D(:,9+rows*[0:step-1]))*1.3],... '--','color',[.9 0 0]); +end hold off % title(['KonditionierungsZahlen von V ' t0]) -xlabel('Elemente'); -ylabel('Condition'); +xlabel('Elementanzahl'); +ylabel('Kondition'); legend({leg3{:} ... 'erste Fehler' ... % 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... @@ -284,18 +297,18 @@ figure(8) i=0; loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+11+rows*i)... - ],'color', type2color(i+1,:)); + ],type2sym{i+1},'color', type2color(i+1,:)); hold on for i = 1:step-1 loglog(repmat(X(:,i+1),1,1),[... G_D(:,2+11+rows*i)... - ],'color', type2color(i+1,:)); + ],type2sym{i+1},'color', type2color(i+1,:)); end % loglog(X(:,1),[7*X(:,1).^(-1/2),3*X(:,1).^(-1/4),2*X(:,1).^(-3/4)],'-.') hold off % title(['Benoetigte Zeit ' t0]) -xlabel('Elemente'); +xlabel('Elementanzahl'); ylabel('Sekunden'); legend({leg4{:} ... % 'N^{-1/2}' 'N^{-1/4}' 'N^{-3/4}'... diff --git a/src/export_exmpl.m b/src/export_exmpl.m index 210f362..fd007a7 100644 --- a/src/export_exmpl.m +++ b/src/export_exmpl.m @@ -1,4 +1,3 @@ - clear close all @@ -63,6 +62,16 @@ export_mesh(coordinates,elements,neigh,[],'exmpl_3DFichCube') %% voll Analytisch A_plots({'meshSave/1t05n05_3DFichCube_23'},'../doc/fig/1t05n05_3DFichCube') -A_plots({'meshSave/1t05n05_2DQuad_28'},'../doc/fig/1t05n05_2DQuad') +A_plots({'meshSave/1t05n05_2DQuad_32'},'../doc/fig/1t05n05_2DQuad') + +%% Isotrop Uniform +A_plots({'meshSave/1t1n0_2DQuad_6'},'../doc/fig/1t1n0_2DQuad') +A_plots({'meshSave/1t05n0_2DQuad_16'},'../doc/fig/1t05n0_2DQuad') + +A_plots({'meshSave/1t1n0_2DQuad_6',... + 'meshSave/1t05n0_2DQuad_16',... + 'meshSave/1t05n05_2DQuad_29'},'../doc/fig/1tn_2DQuad') + + close all \ No newline at end of file diff --git a/src/meshSave/12t05n05_2DQuad_31.mat b/src/meshSave/12t05n05_2DQuad_31.mat deleted file mode 100644 index 1ff279b7fead9d405f746aaa3e0901fe31ea4972..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 281574 zcmeFYXH-*N)GlhF3eu}|q=+CL0cj#l1wllb^e!Th5K00hh)8eJI}uS)>C&Y{YLFI+ zG%2A+r345NLI^qWecyBM`0l^^^NexU$Ovn1##no1&1XGp&1cU2K=-kU?j2zjS$W|H zx{q&odO!D&5q|jGCD7A9!1tE0k%_5|?oDMGVZ8tkmp~79VSm3{!jGQ@3F`)V2@9(W z%d6i~QMe_qF03f8peX$RvzU8xD!Ip)RtGk<`E{pUYT@i|q|ltr0Fz&w%Q zD}{U4p55w&UwDFfZ0J$Xz7#b;qM3A1c=P3<;+2H@Mef(Or7f(3ke){EB{XQ+0TiEskRJ@~! z^GA$Z3uk!#Z680#ok%Z%%mk)S`N5C7;$Jpq#Teb!O{gw&dq3>|;NGEKmao46lg)FJsd7FWPJaAN_mHl=wNvqc?Rjd-C3-=| zNP!W{1@0udu5Tq~QAkBnry8!yIkrHKh5DrF2!245v;Dgzp`{pb*6N)1`x$qf?T6jh z#2TgJ>biE`cmA|jm6$X2k}6&B3_dw|=g+^j2>MlPT`$b~)O*ftR_ZQe(4tbyFjCmH z>BDYOnhVRwmn+w&LzLoB8oB04QH-u0y$2HJ><2bTG^)Q)H%^6q;Luhf?q~4|a^WW9 zof9SNrX+zVmU#0V54byvIvZLJ>W>oEt~#i#06DX4->?Ry-cqECf7AIQ;K#&CVl1SH z=hfy&3@qr!+VP;Y>D$l6pZqjauU9xVttejid0eW@+Msh>@r>(pK%vdd#mC8p>K(2> zqBa^_JU+@X?=wCwN!Z`zn<}}f5@@XaW+#PNeKhX6N(pQF4bAfxE}FFkszj zHtz;lerkTc`5pF=C|`$T#ir2i>+Q3n(R&ZCTbdTI`uo8 z2PJ6;E#Du-?ao1Z*1z3QF#9k%7ii;-^VnEuw0meh`N63?>jG`TTh+qr_g`2}KX9|C zbGu#Fxdawiwf;ytRSw$0)8$Idst|G6EG!8NPnSD683U@{qYU$?^%lHSUzDA7eA~#& zRbJpaFSsqvi4_k=0P$MQ51O|i!+F#C^Kp>FJZmp|ko^Kg9Iy`T1yXNht!|>qQz9Ja zCG2ndG5Lx5QB|d$An;$wWz#wc@*Lg`HjLQQW<`VHXOs9%yK16cHJMDtY8bcOLPOid zL}trglS`c9XNJO@W<4UQm$j|Qr=&kDZ{5&+0HhK1D$3TnG0-pPUI({x%z zpZ1}i!Z5u~r$_M(D=%8?ehTeZ)LJrJHY)gH zJ5k0Fk!yi+&SE@n%3@Th9jDLqZ$#m(bB3U#sF5m4=pY_*y#m4zL;nO*yXx_smN_m5YfoVGzeew}aI zOng|EZda@+5;E|<v&=xG7xV=yCnWs|0Lx=}-ecxbUaZ?u=y7NF|xc(0+^jMQ>do$)jBju;wW=Kjv!< z8Wp69iYBqqjA^~Gk+Ey=`^eixJDw{l;rr&jcm0HWJ@p;_AF_Gxv!h}j^uF5KyrSl4 z&B5N>Or`Da-EjOd^JN>nr?!21W>*4+$}s751swg15MF5wzm{8Z^I6D1REa~pLv|^C zsbi4VR}RbHjGmvE`B-?q(0p0t(+AaM(1Z2aKWEBu>Wg6SMh$8;LWSXcj+ox=zD~8j zP-5%@*;Xzan)lz}R)5k)=Ej8y0}Tbf_rAYA{A>_0@nx$zLZ}1ALiVm~D8+_7%I&~X zv7dDKw)`S8rGLO`7~C)T>VFSQ^QS}dM#3jzm0#nB9pdwJtswLWH|`_xOnILD!D7g- z2Kzr9b3X*`d?&(oI*`e2SgV~WhBYX17_ymxFS2lDxwF`Weo1vDp+Ys zY-=Nh3}8MlS7xHnMaTMt@YocYb=)(`I>2;x66Mmht9QTNC(Pq|UtIZ(>$_oBm8Ly? zoOa{RNqD@6x#VwQ&{yBa!2`YF_?zR}IS~(t_Wr-` z3}8@t-f*Ya1sP^b>O=QIA3jjccp^YP~}Ue;Pr(4yr3fNx=~j6$XTP zk3+}+#^->^Tss01!n_WurS;524ZaILOw-P3cPZ67nV)rt+b0w+-qYI07WIg2<2Fh4 zs8o4xIP%(rwtt%`(O!k5RB+H@`cZBjw9u)Mi7GoaHP_CWbhu@FVlS}~!a0r!`;+nG z9=z3K;a#|64a8sQHwXuB1f1U|F#o)f^$sO&Urv4c8r9l&nsFEI#AfwL6gm=e^QRvb zL9<>>qe+m^CM9D%LHYCL14xXEa2f;twm8?1nX)cZ4HAK4jm;n@U_CniMo+=Qp|*1` zOM$v2e5fd*y{EkmmiJ>^a`Nx%fJo!TM}4y(Q}Q7JaqyMAiHpDp1onZX@>BgM1LXNs6U$ znRQ}NSrtw|Gjq!+2#u^nJycJ%=kd9%9q~zu^!wJndf70lVZ9$S=&1Xaa~}eQo`C81 z2_oC-H<~hIhuolv;FWim@;1L%=Smsj6|Y`0P+xo-+K7jab(;z{?;Hm!)x1% zp=C19*F8BP*q*F#H`P)U73@>B=edo$o1vEdXXHN5!kAlxZ1nq6!^sHq+c(OYuy~F| zY!8Gekc1~nEc#2eq1nL*={;E3GAX#1NRnK{-fct6?ZWCX+abz}*yn9%1u){`9t^}a zPP~zV*Wkd0$Sq>K!HA4qSn4Wis)tyair2V=#napiMId%^&K;>^uKdIdvU|fdc1N}S zwJ0cnq#w0(GyTLURn? zM82BhT#eT9xC02}!A>E?f9s>QQf6zQ*-wqw{4|tOVlqd28p@6_OYq?6eWV1MCOg#Z z(oE64Bx9#s#+22Q+8c*^H7)w$R-!93HH~)}g0RVv3qDZNjfj*OxJmX_!}0n68hWOB zr%|HmZ+Jzg{5QPX8mwjNyv>i?V^`*k=V7FYa+c@OXQa`6muAQ)7@67m_9d zyL5)7V^5W@Fd9zNWJu%;HdN)H

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z0$|_x#p(}1(E;RA{^ddqh>vCa$U)1Kws`vpZp=&SF1Dt8a=~!s+x+@sew+$Y1zRGr z6ad!!mUd!gLgR!dm|l3BB|^9J{vmYHWnYPPF|577Qs=RjFC2opkXJ{kkP~VZcTIL~ z3aWPR`DDT_A_8x$Q<3~nl$DidTO{)9Tv`$8HG5cTZnC#e1-rIf$j%4Of1e`X_SY%k zR5Cx8vhnxjZvx<_e>o-Qv9O#7M?DkX#ykw3B^+0m9p|<8bs8Vh(CQ7T9!hXZY>HT~ z2`R}4e|S9vZA^Z2<*SBu;^sPjQi9T;{gw{i)_eZe> z$}+WtX3-;4hV#3Dd;KM>@3YXqYU0mrf6td5juz469_GHU-;KfdWiBqCP42=g+?m%0 z06(i!h+HQf(<~h*k9cinY`RUJ)c>=h$7j}j)f6=(e_zkO(F!=8!;~KFX+Jlvu5P}3wbXr3eDHK_NS|VIYlP>7V`jmRVbHTr zQ#S=G$ijZP;Cta;D}O+sM=4yRB0@GU;o5aRRXsn{HV?wI(G`}YcV-f?&#E7(|5ORi z1?lZ@FR$Esbn;=Bqby!>oJGakCe3O@*GYeqxpa~#5GH3md%rtdC%sVG2ces}Ql)nO z{mldGSO*H*ldy>^8EOm7)PZTKGBBBV(+eu1+xnkWf$Tl_SGPaQ@+Z9E`RsbbHbV|NXE~$is!%ikSuFoC=(Cvq4*&rF|1C}d3Ij0+8&ngu+Hr8O|NnHk zG0_rYOhb}w-Dc;Ui{ZJ`Sqo#tA*MZqsJGh@0Ml1)_#%*G20W0Cf~+)7$y{8pv<%C_ zViml(jUiFUq@1RYHbh40CRYg>CR&o*HYh*yzU*U9Ti= +/* + * wenn gesetzt wird paralleles Rechnen benutzt + */ +//#define PARALLEL #include -//#include #include "mex.h" -/*/#include - //#include "gauss.hpp" - */ -//#define M_EPS 10e-8 +#ifdef PARALLEL #include +#endif #include "slpRectangle.hpp" -//using namespace slpR; -// Gibt vom Vektor vec die Dimension != 0 zurueck +/* + * Gibt vom Vektor vec die Dimension != 0 zurueck + */ int inline dimOfVec(double* vec) { if (vec[2] != 0) return 2; @@ -56,12 +55,9 @@ int inline dimOfVec(double* vec) { } } -//// Gibt von [0 1 2] die Fehlende Zahl zurueck -//int inline dimOfThird(int a, int b) { -// return ((-(a + b) % 3) + 3) % 3; -//} - -// Gibt von [0 1 2] die Fehlende Zahl zurueck +/* + * Gibt von [0 1 2] die fehlende Zahl zurueck + */ int inline dimOfThird(int a, int b) { switch (a + b) { case 1: @@ -73,11 +69,17 @@ int inline dimOfThird(int a, int b) { } } +/* + * addiert Vektor b zu Vektor a + */ void inline add(double* a, double* b) { for (int i = 0; i < 3; ++i) a[i] += b[i]; } +/* + * vergleicht zwei Vektoren a, b + */ bool inline iseq(double* a, double* b) { for (int i = 0; i < 3; ++i) if (a[i] != b[i]) @@ -85,6 +87,9 @@ bool inline iseq(double* a, double* b) { return true; } +/* + * vergleicht Vektor a mit Konstante b + */ bool inline iseq(double* a, double b) { for (int i = 0; i < 3; ++i) if (a[i] != b) @@ -92,31 +97,49 @@ bool inline iseq(double* a, double b) { return true; } +/* + * speichert die Summe der Vektoren a,b in Vektor c + */ void inline add(double* a, double* b, double* c) { for (int i = 0; i < 3; ++i) a[i] = b[i] + c[i]; } +/* + * subtrahiert Vektor b von Vektor a + */ void inline sub(double* a, double* b) { for (int i = 0; i < 3; ++i) a[i] -= b[i]; } + +/* + * speichert die Differenz der Vektoren a,b in Vektor c + */ void inline sub(double* a, double* b, double* c) { for (int i = 0; i < 3; ++i) a[i] = b[i] - c[i]; } +/* + * speichert Vektor b in Vektor a + */ void inline set(double* a, double* b) { for (int i = 0; i < 3; ++i) a[i] = b[i]; } +/* + * setzt alle Werte in Vektor a auf Konstante b + */ void inline set(double* a, double b) { for (int i = 0; i < 3; ++i) a[i] = b; } -//gibt die kleinste Ecke zurueck +/* + * speichert die kleinste Zeile von Matrix x in Vektor d + */ void inline getSCorner(double* d, double x[4][3]) { set(d, x[0]); for (int i = 1; i < 4; ++i) { @@ -129,29 +152,33 @@ void inline getSCorner(double* d, double x[4][3]) { } } +/* + * berechnet den Abstand von zwei parallelen Elementen * 4Pi + */ double inline distT_par(double b, double d, double t, double v, double d1, double d2, double d3, double * dummy) { double dis1 = 0, dis2 = 0; + if (d1 < 0) dis1 = -d1 - t; - else if(d1 > 0) + else if (d1 > 0) dis1 = d1 - b; if (dis1 < 0) dis1 = 0; if (d2 < 0) dis2 = -d2 - v; - else if(d2 > 0) + else if (d2 > 0) dis2 = d2 - d; if (dis2 < 0) dis2 = 0; -// if(d3!=0) -// mexErrMsgTxt("expected d3 == 0"); - -// return dis1 * dis1 + dis2 * dis2 + d3 * d3; return sqrt(dis1 * dis1 + dis2 * dis2 + d3 * d3) * (4 * M_PI); } + +/* + * berechnet den Abstand von zwei orthogonalen Elementen * 4Pi + */ double inline distT_ort(double b, double d, double t, double v, double d1, double d2, double d3, double * dummy) { double dis1 = 0, dis2 = 0, dis3 = 0; @@ -176,40 +203,64 @@ double inline distT_ort(double b, double d, double t, double v, double d1, if (dis3 < 0) dis3 = 0; -// return dis1 * dis1 + dis2 * dis2 + dis3 * dis3; return sqrt(dis1 * dis1 + dis2 * dis2 + dis3 * dis3) * (4 * M_PI); } + +/* + * mexFunktion zum aufbauen der Galerkin Matrix + */ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { - /* - mexPrintf("%d",omp_get_max_threads()); - omp_set_num_threads(3); - mexPrintf("%d",omp_get_num_threads()); - */ int i, j, k; //Schleifenindizes - int count; -//Sicherheitsabfragen zu Datengroessen + /* + * Sicherheitsueberpruefung der Parameter + */ if ((nrhs != 4)) mexErrMsgTxt( - "expected (coordinates(Nx3),elements(Mx4),zeta(double),type(int))"); + "erwarte (coordinates(Nx3), elements(Mx4), zeta(double), type(int))"); if (nlhs > 1) - mexErrMsgTxt("has only one output argument"); + mexErrMsgTxt("Funktion hat nur einen Rueckgabewert"); int cm = mxGetM(prhs[0]); int cn = mxGetN(prhs[0]); if (cn != 3) - mexErrMsgTxt("expected coordinates (Nx3)"); -// cout << " Koordinaten:" << cm << endl; + mexErrMsgTxt("erwarte Koordinatenmatrix im (Nx3) Format"); int em = mxGetM(prhs[1]); int en = mxGetN(prhs[1]); if (en != 4) - mexErrMsgTxt("expected elements (Mx4)\n"); -// cout << " Elemente:" << em << endl; + mexErrMsgTxt("erwarte Elementmatrix im (Mx4) Format"); + + /* + * Parameter fuer parallele Berechnung setzen + */ +#ifdef PARALLEL +#define MINSIZE_PER_WORKER 3 +#define MAX_WORKER 10 -//Auslesen der Parameter + int actualNumberOfThreads = omp_get_max_threads(); + if (MAX_WORKER < actualNumberOfThreads) + actualNumberOfThreads = MAX_WORKER; + + int firstRow = 0, lastRow = -1; + int targetSize = em * (em + 1) / (2 * actualNumberOfThreads); + + if (targetSize < MINSIZE_PER_WORKER) { + actualNumberOfThreads = (int) em * (em + 1) / (2 * MINSIZE_PER_WORKER); + if (actualNumberOfThreads < 1) { + actualNumberOfThreads = 1; + targetSize = em; + } else { + targetSize = MINSIZE_PER_WORKER; + } + } +#endif + + /* + * Variablen initialisieren + */ plhs[0] = mxCreateDoubleMatrix(em, em, mxREAL); double * A = mxGetPr(plhs[0]); double * C = mxGetPr(prhs[0]); @@ -218,26 +269,19 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { int type = (int) *(mxGetPr(prhs[3])); 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; + //setzen der Quadraturpunkte int quad = (int) *mxGetPr(prhs[2]); quad = setQuad(quad); -#if DEBUG >= 3 - mexPrintf("Berechnungstyp:%d\nQuadpunkte:%d\n",type,quad); -#endif -// Welche Funktion soll verwendet werden + //Art der Berechnung bestimmen double (*ctypeP)(double, double, double, double, double, double, double, double*); double (*ctypeO)(double, double, double, double, double, double, double, double*); -//Art der Berechnung bestimmen -// cout << " Typ:" << type << endl; switch (type) { default: // Voll Analytisch ctypeP = cParO1; @@ -251,19 +295,12 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { ctypeP = cParO3; ctypeO = cOrtO3; break; - case 4: // Analytisch oder Qx1x2 - ctypeP = cParO4; - ctypeO = cOrtO1; - break; - case 0: + case 0: // Distanz der Elemente ctypeP = distT_par; ctypeO = distT_ort; break; } - count = 0; -// omp_set_dynamic(1); - //LageInformationen int rx, rxa, rxb, ry, rya, ryb; double tmp; @@ -276,62 +313,29 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { double d[3] = { 0, 0, 0 }; double dt[3] = { 0, 0, 0 }; -#define MINSIZE_PER_WORKER 3 -#define MAX_WORKER 10 - - int actualNumberOfThreads = omp_get_max_threads(); - - if (MAX_WORKER < actualNumberOfThreads) - actualNumberOfThreads = MAX_WORKER; - - int firstRow = 0, lastRow = -1; - int targetSize = em * (em + 1) / (2 * actualNumberOfThreads); - - if (targetSize < MINSIZE_PER_WORKER) { - actualNumberOfThreads = (int) em * (em + 1) / (2 * MINSIZE_PER_WORKER); - if (actualNumberOfThreads < 1) { - actualNumberOfThreads = 1; - targetSize = em; - } else { - targetSize = MINSIZE_PER_WORKER; - } - } -#if DEBUG >= 3 - mexPrintf("matrixSize (em) : %d\n" - "targetSize : %d\n" - "actualNumberOfThreads: %d\n", em, targetSize, - actualNumberOfThreads); -#endif - -//Ausrechnen + /* + * Schleife ueber Elemente initialisieren + */ #ifdef PARALLEL -//#pragma omp parallel p { #pragma omp parallel for schedule(static,1) private(i,j,k,tmp,x,y,xa,xb,ya,yb,d,dt,rx,rxa,rxb,ry,rya,ryb,lastRow,firstRow) shared(C,E,ctypeO,ctypeP,em,targetSize,actualNumberOfThreads) -#endif - for (i = 0; i < actualNumberOfThreads; ++i) { - firstRow = (int) sqrt(2 * i * targetSize); - if (i == actualNumberOfThreads - 1) { - lastRow = em - 1; - } else { - lastRow = (int) sqrt(2 * (i + 1) * targetSize) - 1; - } - -#if DEBUG >= 4 -#pragma omp critical - mexPrintf("thread Nr.: (%d) | firstRow/lastRow: [%d / %d] \n", + for (i = 0; i < actualNumberOfThreads; ++i) { + firstRow = (int) sqrt(2 * i * targetSize); + if (i == actualNumberOfThreads - 1) { + lastRow = em - 1; + } else { + lastRow = (int) sqrt(2 * (i + 1) * targetSize) - 1; + } -#ifdef PARALLEL - omp_get_thread_num() + for (j = firstRow; j <= lastRow; ++j) { #else - i -#endif - , firstRow, lastRow); -#pragma omp end critical -#endif + { { - for (j = firstRow; j <= lastRow; ++j) { + for (j = 0; j < em; ++i) { + +#endif + // Eckdaten zwischenspeichern x[0][0] = C[(int) E[j] - 1]; x[0][1] = C[cm + (int) E[j] - 1]; x[0][2] = C[2 * cm + (int) E[j] - 1]; @@ -357,20 +361,15 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { rxb = dimOfVec(xb); rx = dimOfThird(rxa, rxb); - //kleinste Ecke finden und fuer \delta verwenden -// getSCorner(dt, x); - if (xa[rxa] <= 0 || xb[rxb] <= 0) - mexWarnMsgTxt("X Element hat Seitenlängen <=0!"); + mexWarnMsgTxt("X Element hat Seitenlaengen <=0!"); - if(rxa == rxb) - mexWarnMsgTxt("X Laenge ist nur in einer Richtung"); - -// if (!iseq(dt, x[0])) -// mexWarnMsgTxt("x[0] ist nicht die kleinste Ecke"); + if (rxa == rxb) + mexWarnMsgTxt("X Laenge ist nur in eine Richtung"); for (k = 0; k <= j; ++k) { + //Eckdaten zwischenspeichern y[0][0] = C[(int) E[k] - 1]; y[0][1] = C[cm + (int) E[k] - 1]; y[0][2] = C[2 * cm + (int) E[k] - 1]; @@ -396,37 +395,18 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { ryb = dimOfVec(yb); ry = dimOfThird(rya, ryb); - //kleinste Ecke finden -// getSCorner(d, y); - if (ya[rya] <= 0 || yb[ryb] <= 0) - mexWarnMsgTxt("Y Element hat Seitenlängen <=0!"); + mexWarnMsgTxt("Y Element hat Seitenlaengen <=0!"); - if(rya == ryb) + if (rya == ryb) mexWarnMsgTxt("Y Laenge ist nur in einer Richtung"); -// if (!iseq(d, y[0])) -// mexWarnMsgTxt("y[0] ist nicht die kleinste Ecke"); - - //\delta berechnen -// sub(d, dt); - + //delta berechnen sub(d, y[0], x[0]); -// if(j==1 && k==0){ -// mexPrintf("[%d %d](%f,%f)(%f,%f)+(%f,%f,%f)", j, k, -// (xa[rxa]), (xb[rxb]), (ya[rya]), -// (yb[ryb]), d[rxa], d[rxb], d[rx]); -// mexPrintf("{%d,%d;%d,%d}\n",rxa,rxb,rya,rxb); -// } - -#if DEBUG >= 5 -#pragma omp critical - mexPrintf("[%d %d](%f,%f)(%f,%f)+(%f,%f,%f)\n", j, k, - (xa[rxa]), (xb[rxb]), (ya[rya]), - (yb[ryb]), d[rxa], d[rxb], d[rx]); -#pragma omp end critical -#endif + /* + * Matrix Eintrag berechnen + */ if (rx == ry) { if (rxa == rya) { tmp = ctypeP((xa[rxa]), (xb[rxb]), (ya[rxa]), @@ -454,22 +434,21 @@ void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { } } - +#ifdef PARALLEL #pragma omp critical +#endif A[(k * em) + j] = 1. / (4 * M_PI) * tmp; if (k != j) A[(j * em) + k] = 1. / (4 * M_PI) * tmp; +#ifdef PARALLEL #pragma omp end critical - +#endif } } } } -#ifdef PARALLEL -} -#endif return; } diff --git a/src/slpRectangle.cpp b/src/slpRectangle.cpp index 8b96fbc..77c73b5 100644 --- a/src/slpRectangle.cpp +++ b/src/slpRectangle.cpp @@ -1,6 +1,6 @@ /***************************************************************************/ /* slpRectangle.cpp */ -/* Beschreibung */ +/* Implementiert alle Funktionen zum Berechnen der GalerkinMatrix */ /* */ /* */ /* */ @@ -10,47 +10,42 @@ /* Version: 1.0 (2012) */ /***************************************************************************/ -//#include #include -//#include -#include -//#include #include #include "slpRectangle.hpp" #include "gauss.hpp" -//#define quad 2 // Anzahl der Quadratur Auswertungstellen 2^quad -//int quad = 2; int GAUSS_size = GAUSS_SIZE[2]; gauss * GAUSS_nodes = GAUSS_NODES[2]; -//using namespace std; +/* + * setzt den Quadraturgrad, also 2^q Auswertungsstellen + */ int setQuad(int q) { GAUSS_size = GAUSS_SIZE[q]; GAUSS_nodes = GAUSS_NODES[q]; return GAUSS_size; } -int inline sign(double); -//double arsinh(double); - -/* ============================== */ - +/* + * gibt das signum von x zurueck + */ int inline sign(double x) { return x > 0 ? 1 : (x < 0 ? -1 : 0); } + /* - double inline arsinh(double x) { - return log(x + sqrt(x * x + 1)); - } + * gibt das Maximum der beiden Zahlen x,y zurueck */ - double inline max(double x, double y) { return x < y ? y : x; } +/* + * gibt das minimum der beiden Zahlen x,y zurueck + */ double inline min(double x, double y) { return x > y ? y : x; } @@ -105,6 +100,9 @@ void inline switch_site_ort(double& b, double& d, double& t, double& v, } } +/* + * kleinere Achse nach vorn + */ void inline switch_dim_par(double& b, double& d, double& t, double& v, double& d1, double& d2) { // @@ -192,6 +190,9 @@ double inline dist_s2(double b, double t, double d1) { return dis1 * dis1; } +/* + * Kernfunktion 1 /|x-y| + */ double inline f_par(double x1, double x2, double y1, double y2, double d1, double d2, double d3) { return 1. @@ -199,7 +200,9 @@ double inline f_par(double x1, double x2, double y1, double y2, double d1, (x1 - y1 - d1) * (x1 - y1 - d1) + (x2 - y2 - d2) * (x2 - y2 - d2) + d3 * d3); } - +/* + * Kernfunktion 1 /|x-y| + */ double inline f_ort(double x1, double x2, double y2, double y3, double d1, double d2, double d3) { return 1. @@ -208,31 +211,31 @@ double inline f_ort(double x1, double x2, double y2, double y3, double d1, + (y3 + d3) * (y3 + d3)); } +/* + * 1 mal integrierte Kernfunktion int 1 /|x-y| dy (QUADRATUR) + */ double inline g_QY(double p, double y, double x, double l) { - double sol = 0; - for (int i = 0; i < GAUSS_size; ++i) { sol += pow( - (x - GAUSS_nodes[i].n * y) - * (x - GAUSS_nodes[i].n * y) + l * l, p) - * GAUSS_nodes[i].w * y; + (x - GAUSS_nodes[i].n * y) * (x - GAUSS_nodes[i].n * y) + l * l, + p) * GAUSS_nodes[i].w * y; } return sol; } -//y-x muss != 0 sein +/* + * Stammfunktion g + * 1 mal integrierte Kernfunktion int 1 /|x-y| dy (ANALYTISCH) + */ double inline g_AY(double p, double y, double x, double l) { - //printf("%.1f | %.1f | %.1f | %.1f +",p,x,y,l); - double sol = 0; if (l != 0) { if (p == 0.5) { sol = (y - x) / 2 * sqrt((y - x) * (y - x) + l * l) + l * l / 2 * asinh((y - x) / fabs(l)); - // printf("%.2f |",sol); } else if (p == 0) sol = y - x; else if (p == -0.5) @@ -254,6 +257,9 @@ double inline g_AY(double p, double y, double x, double l) { return sol; } +/* + * 2 mal integrierte Kernfunktion int int 1 /|x-y| dy_2 dy_1 (QUADRATUR) + */ double inline G_QY1Y2(double p, double y1, double y2, double x1, double x2, double l) { @@ -261,43 +267,34 @@ double inline G_QY1Y2(double p, double y1, double y2, double x1, double x2, for (int i = 0; i < GAUSS_size; ++i) { for (int j = 0; j < GAUSS_size; ++j) { sol += pow( - (x1 - y1 * GAUSS_nodes[i].n) - * (x1 - y1 * GAUSS_nodes[i].n) + (x1 - y1 * GAUSS_nodes[i].n) * (x1 - y1 * GAUSS_nodes[i].n) + (x2 - y2 * GAUSS_nodes[j].n) - * (x2 - y2 * GAUSS_nodes[j].n) - + l * l, p) * y1 * GAUSS_nodes[i].w * y2 - * GAUSS_nodes[j].w; + * (x2 - y2 * GAUSS_nodes[j].n) + l * l, p) + * y1 * GAUSS_nodes[i].w * y2 * GAUSS_nodes[j].w; } } return sol; } +/* + * 2 mal integrierte Kernfunktion int int 1 /|x-y| dy_2 dx_2 (ANALYTISCH) + */ double inline G_AY2X2(double y1, double y2, double x1, double x2, double d3) { - -// cout << "(" << y1 << "," << y2 << ")(" << x1 << "," << x2 << ")(" << d3 << ")" << endl; - double hlp = ((x1 - y1) * (x1 - y1) + (x2 - y2) * (x2 - y2) + d3 * d3); - double sol = sqrt(hlp); if ((x2 - y2) != 0) - //sol -= (x2 - y2) * g_AY(-0.5,x2,y2, sqrt((x1 - y1) * (x1 - y1) + d3 * d3)); sol += (x2 - y2) * log(sqrt(hlp) - (x2 - y2)); - if (sol - != sol/* || fabs(sol) == std::numeric_limits::infinity()*/) { - // cout << "G_AY2X2: " << sol << " isn't a Number. (" << y1 << "," << y2 - // << ")(" << x1 << "," << x2 << ")(" << d3 << ")" << endl; - // cout << (x2 - y2) << "__" << sqrt(hlp) << endl; - // cout << (x1 - y1) * (x1 - y1) << " " << hlp << endl; - // mexPrintf("G_AY2X2X: nan"); - } return sol; } +/* + * Stammfunktion G + * 2 mal integrierte Kernfunktion int int 1 /|x-y| dy_2 dy_1 (ANALYTISCH) + */ double inline G_AY1Y2(double p, double y1, double y2, double x1, double x2, double l) { - // printf("%.1f | %.1f %.1f | %.1f %.1f | %.1f +",p,x1,x2,y1,y2,l); double pt = p + 1.5; double sol = 0; if (pt == 0) { @@ -312,7 +309,6 @@ double inline G_AY1Y2(double p, double y1, double y2, double x1, double x2, * ((y2 - x2) * (y2 - x2) + l * l)) + 1); } - } else if ((pt > 0) && ((int) pt == pt)) { if (l != 0) sol = 2 * p * l * l * G_AY1Y2(p - 1, y1, y2, x1, x2, l); @@ -324,25 +320,20 @@ double inline G_AY1Y2(double p, double y1, double y2, double x1, double x2, * g_AY(p, y1, x1, sqrt((y2 - x2) * (y2 - x2) + l * l)); sol /= 2 * p + 2; } else { + //Fall wird nicht benoetigt sol = NAN; - // cout << "warning in G_AY1Y2: no case for p=" << p - // << " defined. Possible: [-1.5,-0.5,0.5,...]" << endl; + mexWarnMsgTxt("G_AY1Y2 fuer Parameter nicht implementiert!"); } return sol; } -double inline Gs_AX2Y1Y2(double p, double y1, double y2, double x1, double x2, - double l) { - double sol = 0; - mexWarnMsgTxt("Gs_AX2Y1Y2 nicht implementiert!"); - return sol; -} - +/* + * Stammfunktion F + * 4 mal integrierte Kernfunktion int int 1 /|x-y| dy dx (ANALYTISCH) + */ double inline F_par(double x1, double x2, double y1, double y2, double d1, double d2, double d3) { - - // printf("%.1f %.1f | %.1f %.1f | %.1f %.1f %.1f",x1,x2,y1,y2,d1,d2,d3); double sol = (x1 - y1 - d1) * (x2 - y2 - d2); if (sol != 0) @@ -364,10 +355,12 @@ double inline F_par(double x1, double x2, double y1, double y2, double d1, return sol; } +/* + * Stammfunktion F + * 4 mal integrierte Kernfunktion int int 1 /|x-y| dy dx (ANALYTISCH) + */ double inline F_ort(double x1, double x2, double y2, double y3, double d1, double d2, double d3) { - -// mexPrintf("%.1f %.1f | %.1f %.1f | %.1f %.1f %.1f \n",x1,x2,y2,y3,d1,d2,d3); double sol = -G_AY1Y2(0.5, y3, x1, -d3, d1, x2 - y2 - d2); if ((x1 - d1) * (x2 - y2 - d2) != 0) @@ -395,24 +388,27 @@ double inline F_ort(double x1, double x2, double y2, double y3, double d1, return sol / 2.; } +/* + * Stammfunktion (fuer Quadratur) + * 2 mal integrierte Kernfunktion int int 1 /|x-y| dy_2 dy_1 (ANALYTISCH) + */ double inline FY1Y2_par(double x1, double x2, double y1, double y2, double d1, double d2, double d3) { return G_AY1Y2(-0.5, y1, y2, x1 - d1, x2 - d2, d3); } -//double inline FY2X2_par(double y1, double x1, double y2, double x2, double d1, -// double d2, double d3) { -// return G_AY2X2(y1 + d1, y2 + d2, x1, x2, d3); -//} - +/* + * Stammfunktion (fuer Quadratur) + * 2 mal integrierte Kernfunktion int int 1 /|x-y| dy_2 dy_3 (ANALYTISCH) + */ double inline FY2Y3_ort(double x1, double x2, double y2, double y3, double d1, double d2, double d3) { - return G_AY1Y2(-0.5, y2 , y3 , x2-d2, -d3, x1-d1); + return G_AY1Y2(-0.5, y2, y3, x2 - d2, -d3, x1 - d1); } /* - * Quadratur über zwei Integrale und Grenzen in Stammfunktion über zwei Integrale - * b,d - Grenzen für Quadratur + * Quadratur ueber zwei Integrale und Grenzen in Stammfunktion ueber zwei Integrale + * b,d - Grenzen fuer Quadratur * t,v - Grenzen in Stammfunktion */ template @@ -436,8 +432,8 @@ double intQ2A2(double b, double d, double t, double v, double d1, double d2, } /* - * Quadratur über vier Integrale - * b,d,t,v - Grenzen für Quadratur + * Quadratur ueber vier Integrale + * b,d,t,v - Grenzen fuer Quadratur */ template double intQ4(double b, double d, double t, double v, double d1, double d2, @@ -469,8 +465,8 @@ double intQ4(double b, double d, double t, double v, double d1, double d2, } /* - * Grenzen in Stammfunktion über vier Integrale - * b,d,t,v - Grenzen für Stammfunktion + * Grenzen in Stammfunktion ueber vier Integrale + * b,d,t,v - Grenzen fuer Stammfunktion */ template double inline intA4(double b, double d, double t, double v, double d1, @@ -487,20 +483,27 @@ double inline intA4(double b, double d, double t, double v, double d1, } +/* + * fuer parallele Elemente + * voll Analytisch + */ double cParO1(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { -// if (d3 && fabs(d3)!=2) -// mexPrintf("%f \n", d3); return intA4(b, d, t, v, d1, d2, d3); } - +/* + * fuer orthogonale Elemente + * voll Analytisch + */ double cOrtO1(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { -// if (!d3) -// mexPrintf("%f \n", d3); return intA4(b, d, t, v, d1, d2, d3); } +/* + * fuer parallele Elemente + * voll Analytisch + */ double cParO2(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { double tmp = 0; @@ -508,15 +511,17 @@ double cParO2(double b, double d, double t, double v, double d1, double d2, //kurze Seite nach vorn switch_site_par(b, d, t, v, d1, d2); - //kurze Achse nach vorn -// switch_dim_par(b, d, t, v, d1, d2); - if (zeta[0] * zeta[0] * (t * t + v * v) < dist2_par(b, d, t, v, d1, d2, d3)) return intQ4(b, d, t, v, d1, d2, d3); return intA4(b, d, t, v, d1, d2, d3); } +/* + * fuer orthogonale Elemente + * volle Quadratur fuer zeta_1 zulaessige Elemente + * analytisch sonst + */ double cOrtO2(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { double tmp = 0, dis2 = 0; @@ -524,24 +529,24 @@ double cOrtO2(double b, double d, double t, double v, double d1, double d2, //kurze Seite nach vorn switch_site_ort(b, d, t, v, d1, d2, d3); - //kurze Achse nach vorn -// switch_dim_par(b, d, t, v, d1, d2); - if (zeta[0] * zeta[0] * (t * t + v * v) < dist2_ort(b, d, t, v, d1, d2, d3)) return intQ4(b, d, t, v, d1, d2, d3); return intA4(b, d, t, v, d1, d2, d3); } - +/* + * fuer parallele Elemente + * volle Quadratur fuer zeta_1 zulaessige Elemente + * Quadratur ueber ein Element fuer zeta_2 zulaessige Elemente + * volle Quadratur fuer zeta_1 zulaessige Elemente + * analytisch sonst + */ double cParO3(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { //kurze Seite nach vorn switch_site_par(b, d, t, v, d1, d2); - //kurze Achse nach vorn -// switch_dim_par(b, d, t, v, d1, d2); - if (zeta[1] * zeta[1] * (b * b + d * d) < dist2_par(b, d, t, v, d1, d2, d3)) return intQ2A2(b, d, t, v, d1, d2, d3); @@ -550,7 +555,12 @@ double cParO3(double b, double d, double t, double v, double d1, double d2, return intA4(b, d, t, v, d1, d2, d3); } - +/* + * fuer orthogonale Elemente + * Quadratur ueber ein Element fuer zeta_2 zulaessige Elemente + * volle Quadratur fuer zeta_1 zulaessige Elemente + * analytisch sonst + */ double cOrtO3(double b, double d, double t, double v, double d1, double d2, double d3, double* zeta) { double tmp = 0, dis2 = 0; @@ -558,9 +568,6 @@ double cOrtO3(double b, double d, double t, double v, double d1, double d2, //kurze Seite nach vorn switch_site_ort(b, d, t, v, d1, d2, d3); - //kurze Achse nach vorn -// switch_dim_par(b, d, t, v, d1, d2); - if (zeta[1] * zeta[1] * (b * b + d * d) < dist2_ort(b, d, t, v, d1, d2, d3)) return intQ2A2(b, d, t, v, d1, d2, d3); @@ -570,22 +577,3 @@ double cOrtO3(double b, double d, double t, double v, double d1, double d2, return intA4(b, d, t, v, d1, d2, d3); } -double cParO4(double b, double d, double t, double v, double d1, double d2, - double d3, double* zeta) { - - double tmp = 0; - - //kurze Seite nach vorn - switch_site_par(b, d, t, v, d1, d2); - - //kurze Achse nach vorn - switch_dim_par(b, d, t, v, d1, d2); - - if ((t * t + v * v) < zeta[0] * dist2_par(b, d, t, v, d1, d2, d3)) - return intQ4(b, d, t, v, d1, d2, d3); - -// if ((b * b + d * d) < zeta[0] * dist2_par(b, d, t, v, d1, d2, d3)) -// return calcParIntQX1X2(b, d, t, v, d1, d2, d3); - - return intA4(b, d, t, v, d1, d2, d3); -} diff --git a/src/slpRectangle.hpp b/src/slpRectangle.hpp index 81ff7c1..cf2c0f0 100644 --- a/src/slpRectangle.hpp +++ b/src/slpRectangle.hpp @@ -1,6 +1,6 @@ /***************************************************************************/ /* slpRectangle.hpp */ -/* Beschreibung... */ +/* Implementiert alle Funktionen zur Berechnung der Galerkin Matrix */ /* */ /* */ /* */ @@ -13,58 +13,30 @@ #ifndef HILBERT3D_LAPLACE_SLPRECTANGLE_HPP_GUARD_ #define HILBERT3D_LAPLACE_SLPRECTANGLE_HPP_GUARD_ -//namespace slpR { - -// sol = g0(p,y,x,l); -// double g_AY(double, double, double, double); -// sol = g0(p,y,x,l); -// double g_QY(double, double, double, double); - -// sol = G00(p,y1,y2,x1,x2,l); -// double G_AY1Y2(double, double, double, double, double, double); -// sol = G00(p,y1,y2,x1,x2,l); -// double G_AY2X2(double, double, double, double, double); -// sol = G00(p,y1,y2,x1,x2,l); -// double G_QY1Y2(double, double, double, double, double, double); -// double Gs_AX2Y1Y2(double, double, double, double, double, double); - -// sol = F_par(x1,x2,y1,y2,d1,d2,d3); -// double F_par(double, double, double, double, double, double, double); -// sol = F_ort(x1,x2,y2,y3,d1,d2,d3); -// double F_ort(double, double, double, double, double, double, double); - -// sol = quad0Int4((F_par/F_ort),b,d,t,v,d1,d2,d3); -// double apply0Int4( -//double(*)(double, double, double, double, double, double, double), -//double, double, double, double, double, double, double); -// double apply0Int2( -//double(*)(double, double, double, double, double, double, double), -//double, double, double, double, double, double, double); - -// sol = calcParInt.(b,d,t,v,d1,d2,d3); -//double calcParIntA(double, double, double, double, double, double, double); -//double calcParIntQX1X2(double, double, double, double, double, double, double); -//double calcParIntQY1X1(double, double, double, double, double, double, double); -//double calcParIntQY1(double, double, double, double, double, double, double); -//double calcParIntQ(double, double, double, double, double, double, double); - -// sol = calcOrtInt.(b,d,t,v,d1,d2,d3); -//double calcOrtIntA(double, double, double, double, double, double, double); -//double calcOrtIntQX1X2(double, double, double, double, double, double, double); - -//Voll Analytisch +/* + * voll Analytisch rechnen + */ double cParO1(double, double, double, double, double, double, double, double*); double cOrtO1(double, double, double, double, double, double, double, double*); -//A oder Q + +/* + * volle Quadratur fuer zeta_1 zulaessige Elemente + * analytisch sonst + */ double cParO2(double, double, double, double, double, double, double, double*); double cOrtO2(double, double, double, double, double, double, double, double*); -//A oder Q oder Qy1x2 + +/* + * Quadratur ueber ein Element fuer zeta_2 zulaessige Elemente + * volle Quadratur fuer zeta_1 zulaessige Elemente + * analytisch sonst + */ double cParO3(double, double, double, double, double, double, double, double*); double cOrtO3(double, double, double, double, double, double, double, double*); -// A oder Q oder Qx1x2 -double cParO4(double, double, double, double, double, double, double, double*); +/* + * setzt die 2^Anzahl der Auswertungsstellen + */ int setQuad(int); -//} #endif -- 2.47.3