From: Peter Schaefer Date: Wed, 15 Aug 2012 16:09:17 +0000 (+0200) Subject: [src] gauss erklärung X-Git-Url: https://git.leopard-lacewing.eu/?a=commitdiff_plain;h=a21a549fb19a99e11c937693d20253618ab93d1e;p=bacc.git [src] gauss erklärung [src] slpR neuen Fall angefangen --- diff --git a/doc/doc.pdf b/doc/doc.pdf index dcddbc0..78e4134 100644 Binary files a/doc/doc.pdf and b/doc/doc.pdf differ diff --git a/doc/doc.tex b/doc/doc.tex index 0f628ee..7d8b984 100644 --- a/doc/doc.tex +++ b/doc/doc.tex @@ -88,7 +88,7 @@ In dieser Arbeit beschäftigen wir uns mit der Randelementmethode für die homog - \varDelta u &= 0 &\text{ in } \Omega& \subset \R^3,\\ u &= f &\text{ auf } \Gamma&:=\partial\Omega, \end{align} -wobei $\varDelta u := \partial_x^2u+\partial_y^2u$ den Laplace-Operator bezeichnet und $\Omega \subset \R^3$ sei eine beschränkte Teilmenge von $\R^3$ mit Dirichlet-Rand $\Gamma := \partial \Omega$.\\ +wobei $\varDelta u := \partial_x^2u+\partial_y^2u$ den Laplace-Operator bezeichnet und $\Omega \subset \R^3$ eine beschränkte Teilmenge von $\R^3$ mit Lipschitz-Rand $\Gamma := \partial \Omega$ ist.\\ \noindent Wir wissen, dass die Laplace-Gleichung erfüllt wird durch: @@ -198,11 +198,11 @@ Damit ist $\phi_{\ell}$ die Galerkinapproximation an $\phi$ % \phi_{\ell/2} &= D \cdot y\\ % \end{align} -\subsection{Netz} +\subsection{Netze} Für die Diskretisierung des Problems wollen wir nun einige Begriffe definieren. -\begin{defi} - Sei $T \subseteq \R^3$ ein achsenorientiertes Rechteck, wenn sich aus dem Eckpunkt $C \in \R^3$, alle weiteren Knoten schreiben lassen als $\{ C + a\cdot A, C + a \cdot A + b \cdot B , C + b \cdot B\}$, wobei Vektoren $A,B \in \{(1,0,0)^T,(0,1,0)^T,(0,0,1)^T\}$. und Skalare $a,b\neq0$ sind und der Flächeninhalt $|T| > 0$. \todo{Kanten/Seiten definieren? Anmerken, dass ein Kante als Vektor nur eine dim $\neq 0$?}\\Weiterhin sei +\begin{defi}[Partition] + Wir nennen $T \subseteq \R^3$ ein achsenorientiertes Rechteck, wenn sich aus einem Eckpunkt $C \in \R^3$, alle weiteren Knoten schreiben lassen als $\{ C + a\cdot A, C + a \cdot A + b \cdot B , C + b \cdot B\}$, wobei Vektoren $A,B \in \{(1,0,0)^T,(0,1,0)^T,(0,0,1)^T\}$. und Skalare $a,b\neq0$ sind und der Flächeninhalt $|T| > 0$. \todo{Kanten/Seiten definieren? Anmerken, dass ein Kante als Vektor nur eine dim $\neq 0$?}\\Weiterhin sei \begin{align} C_T &:= \{ c_i:1\leq i \leq 4\} \end{align} @@ -210,11 +210,11 @@ die Menge der Eckpunkte des Rechtecks. \end{defi} \begin{defi} - Sei $\T_{\ell} = \{T_1,T_2,\dots,T_N\}$ eine \todo{Triangulierung ($\to$ Dreiecke?)} von $\Gamma$. Dann gilt: + Wir nennen $\T_{\ell} = \{T_1,T_2,\dots,T_N\}$ eine Partition von $\Gamma$ falls: \begin{itemize} \item $\overline{\Gamma} = \bigcup_{j=1}^NT_j$ - \item $\forall T_j \in T_{\ell}$ abgeschlossen und nicht null $\abs{T_j}>0$ - \item $\abs{T_j \cap T_k} = 0$ mit $T_j,T_k\in\T_{\ell}$ und $T_j\neq T_k$ + \item alle Elemente aus $T_{\ell}$ abgeschlossene achsenorientierte Rechtecke + \item $\abs{T_j \cap T_k}$ ist entweder ein Knoten, eine Seite oder keines von beiden mit $T_j,T_k\in\T_{\ell}$ und $T_j\neq T_k$ \end{itemize} \end{defi} Den Begriff der Triangulierung wollen wir hier noch stärker definieren, da wir pro Seite eines Rechtecks nur einen hängenden Knoten zulassen wollen. @@ -231,6 +231,9 @@ anliegen können. Weiterhin wollen wir auch verlangen, dass der auf der Kante li \todo{+Bild} \subsubsection{Verfeinern} +\begin{defi}[Lokale Verfeinerung] +\end{defi} + \begin{defi} Sei $\T_{\ell/2}$ die aus der Verfeinerung von $\T_{\ell}$ resultierende gültige Triangulierung. \end{defi} diff --git a/src/exmplAA_2DQuad_cond.eps b/src/exmplAA_2DQuad_cond.eps deleted file mode 100644 index 9c7a771..0000000 --- a/src/exmplAA_2DQuad_cond.eps +++ /dev/null @@ -1,622 +0,0 @@ -%!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). 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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: 53 195 550 602 -MathWorks begin -bpage -%%EndPageSetup - -%%BeginObject: obj1 -bplot - -/dpi2point 8.33333 def -portraitMode 0150 5100 csm - - 294 79 4145 3388 MR c np -85 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 - 997 3206 mt 997 3187 L - 997 270 mt 997 288 L -1215 3206 mt 1215 3187 L -1215 270 mt 1215 288 L -1370 3206 mt 1370 3187 L -1370 270 mt 1370 288 L -1490 3206 mt 1490 3187 L -1490 270 mt 1490 288 L -1588 3206 mt 1588 3187 L -1588 270 mt 1588 288 L -1671 3206 mt 1671 3187 L -1671 270 mt 1671 288 L -1743 3206 mt 1743 3187 L -1743 270 mt 1743 288 L -1807 3206 mt 1807 3187 L -1807 270 mt 1807 288 L -1864 3206 mt 1864 3187 L -1864 270 mt 1864 288 L -1864 3206 mt 1864 3168 L -1864 270 mt 1864 307 L -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1803 3332 mt -(10) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 55.5556 FMSR - -1895 3281 mt -(1) s -2237 3206 mt 2237 3187 L -2237 270 mt 2237 288 L -2455 3206 mt 2455 3187 L -2455 270 mt 2455 288 L -2610 3206 mt 2610 3187 L -2610 270 mt 2610 288 L -2730 3206 mt 2730 3187 L -2730 270 mt 2730 288 L -2828 3206 mt 2828 3187 L -2828 270 mt 2828 288 L -2911 3206 mt 2911 3187 L -2911 270 mt 2911 288 L -2983 3206 mt 2983 3187 L -2983 270 mt 2983 288 L -3047 3206 mt 3047 3187 L -3047 270 mt 3047 288 L -3104 3206 mt 3104 3187 L -3104 270 mt 3104 288 L -3104 3206 mt 3104 3168 L -3104 270 mt 3104 307 L -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -3043 3332 mt -(10) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 55.5556 FMSR - -3135 3281 mt -(2) s -3477 3206 mt 3477 3187 L -3477 270 mt 3477 288 L -3695 3206 mt 3695 3187 L -3695 270 mt 3695 288 L -3850 3206 mt 3850 3187 L -3850 270 mt 3850 288 L -3970 3206 mt 3970 3187 L -3970 270 mt 3970 288 L -4068 3206 mt 4068 3187 L -4068 270 mt 4068 288 L -4151 3206 mt 4151 3187 L -4151 270 mt 4151 288 L -4223 3206 mt 4223 3187 L -4223 270 mt 4223 288 L -4287 3206 mt 4287 3187 L -4287 270 mt 4287 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 -(3) 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 2911 mt 642 2911 L -4344 2911 mt 4325 2911 L - 624 2739 mt 642 2739 L -4344 2739 mt 4325 2739 L - 624 2616 mt 642 2616 L -4344 2616 mt 4325 2616 L - 624 2521 mt 642 2521 L -4344 2521 mt 4325 2521 L - 624 2444 mt 642 2444 L -4344 2444 mt 4325 2444 L - 624 2378 mt 642 2378 L -4344 2378 mt 4325 2378 L - 624 2322 mt 642 2322 L -4344 2322 mt 4325 2322 L - 624 2272 mt 642 2272 L -4344 2272 mt 4325 2272 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 -(-1) s - 624 1932 mt 642 1932 L -4344 1932 mt 4325 1932 L - 624 1760 mt 642 1760 L -4344 1760 mt 4325 1760 L - 624 1638 mt 642 1638 L -4344 1638 mt 4325 1638 L - 624 1543 mt 642 1543 L -4344 1543 mt 4325 1543 L - 624 1465 mt 642 1465 L -4344 1465 mt 4325 1465 L - 624 1400 mt 642 1400 L -4344 1400 mt 4325 1400 L - 624 1343 mt 642 1343 L -4344 1343 mt 4325 1343 L - 624 1293 mt 642 1293 L -4344 1293 mt 4325 1293 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 -(0) s - 624 954 mt 642 954 L -4344 954 mt 4325 954 L - 624 781 mt 642 781 L -4344 781 mt 4325 781 L - 624 659 mt 642 659 L -4344 659 mt 4325 659 L - 624 564 mt 642 564 L -4344 564 mt 4325 564 L - 624 487 mt 642 487 L -4344 487 mt 4325 487 L - 624 421 mt 642 421 L -4344 421 mt 4325 421 L - 624 364 mt 642 364 L -4344 364 mt 4325 364 L - 624 314 mt 642 314 L -4344 314 mt 4325 314 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 0.000000 1.000000 sr} bdef -c8 -81 64 61 65 83 67 63 67 69 70 94 69 68 68 120 71 -94 74 138 104 164 67 253 87 338 71 747 96 1370 1153 15 MP stroke -gs 1319 1102 2476 1143 MR c np - 25 25 1370 1153 FO - 25 25 2117 1249 FO - 25 25 2455 1320 FO - 25 25 2708 1407 FO - 25 25 2872 1474 FO - 25 25 3010 1578 FO - 25 25 3104 1652 FO - 25 25 3224 1723 FO - 25 25 3292 1791 FO - 25 25 3386 1860 FO - 25 25 3455 1930 FO - 25 25 3518 1997 FO - 25 25 3601 2064 FO - 25 25 3662 2129 FO - 25 25 3743 2193 FO -gr - -/c9 { 0.000000 0.500000 0.000000 sr} bdef -c9 -81 64 61 65 83 67 63 67 69 70 94 69 68 68 120 71 -94 74 138 104 164 67 253 87 338 71 747 96 1370 1153 15 MP stroke -gs 1319 1102 2476 1143 MR c np - 25 25 1370 1153 FO - 25 25 2117 1249 FO - 25 25 2455 1320 FO - 25 25 2708 1407 FO - 25 25 2872 1474 FO - 25 25 3010 1578 FO - 25 25 3104 1652 FO - 25 25 3224 1723 FO - 25 25 3292 1791 FO - 25 25 3386 1860 FO - 25 25 3455 1930 FO - 25 25 3518 1997 FO - 25 25 3601 2064 FO - 25 25 3662 2129 FO - 25 25 3743 2193 FO -gr - -/c10 { 1.000000 0.000000 0.000000 sr} bdef -c10 -81 64 61 66 83 62 63 69 69 62 94 73 68 72 120 61 -94 81 138 92 164 79 253 78 338 79 747 122 1370 1623 15 MP stroke -gs 1319 1572 2476 1163 MR c np - 25 25 1370 1623 FO - 25 25 2117 1745 FO - 25 25 2455 1824 FO - 25 25 2708 1902 FO - 25 25 2872 1981 FO - 25 25 3010 2073 FO - 25 25 3104 2154 FO - 25 25 3224 2215 FO - 25 25 3292 2287 FO - 25 25 3386 2360 FO - 25 25 3455 2422 FO - 25 25 3518 2491 FO - 25 25 3601 2553 FO - 25 25 3662 2619 FO - 25 25 3743 2683 FO -gr - -/c11 { 0.000000 0.750000 0.750000 sr} bdef -c11 -81 75 61 74 83 70 63 72 69 68 94 74 68 72 120 67 -94 79 138 98 164 77 253 85 338 82 747 127 1370 1452 15 MP stroke -gs 1319 1401 2476 1223 MR c np - 25 25 1370 1452 FO - 25 25 2117 1579 FO - 25 25 2455 1661 FO - 25 25 2708 1746 FO - 25 25 2872 1823 FO - 25 25 3010 1921 FO - 25 25 3104 2000 FO - 25 25 3224 2067 FO - 25 25 3292 2139 FO - 25 25 3386 2213 FO - 25 25 3455 2281 FO - 25 25 3518 2353 FO - 25 25 3601 2423 FO - 25 25 3662 2497 FO - 25 25 3743 2572 FO -gr - -/c12 { 0.750000 0.000000 0.750000 sr} bdef -c12 -81 65 61 64 83 68 63 66 69 73 94 67 68 68 120 72 -94 74 138 106 164 65 253 88 338 67 747 93 1370 1151 15 MP stroke -gs 1319 1100 2476 1139 MR c np - 25 25 1370 1151 FO - 25 25 2117 1244 FO - 25 25 2455 1311 FO - 25 25 2708 1399 FO - 25 25 2872 1464 FO - 25 25 3010 1570 FO - 25 25 3104 1644 FO - 25 25 3224 1716 FO - 25 25 3292 1784 FO - 25 25 3386 1851 FO - 25 25 3455 1924 FO - 25 25 3518 1990 FO - 25 25 3601 2058 FO - 25 25 3662 2122 FO - 25 25 3743 2187 FO -gr - -/c13 { 0.750000 0.750000 0.000000 sr} bdef -c13 -81 66 61 70 83 71 63 68 69 78 94 66 68 72 120 93 -94 147 138 24 164 124 253 76 338 197 2117 1745 14 MP stroke -gs 2066 1694 1729 1255 MR c np - 25 25 2117 1745 FO - 25 25 2455 1942 FO - 25 25 2708 2018 FO - 25 25 2872 2142 FO - 25 25 3010 2166 FO - 25 25 3104 2313 FO - 25 25 3224 2406 FO - 25 25 3292 2478 FO - 25 25 3386 2544 FO - 25 25 3455 2622 FO - 25 25 3518 2690 FO - 25 25 3601 2761 FO - 25 25 3662 2831 FO - 25 25 3743 2897 FO -gr - -0.25 sg -81 69 61 61 83 80 63 55 69 90 94 67 68 54 120 109 -94 133 138 36 164 103 253 78 338 196 2117 1623 14 MP stroke -gs 2066 1572 1729 1234 MR c np - 25 25 2117 1623 FO - 25 25 2455 1819 FO - 25 25 2708 1897 FO - 25 25 2872 2000 FO - 25 25 3010 2036 FO - 25 25 3104 2169 FO - 25 25 3224 2278 FO - 25 25 3292 2332 FO - 25 25 3386 2399 FO - 25 25 3455 2489 FO - 25 25 3518 2544 FO - 25 25 3601 2624 FO - 25 25 3662 2685 FO - 25 25 3743 2754 FO -gr - -c8 -81 39 61 -68 83 218 63 -97 69 258 94 51 68 -74 120 262 -94 162 138 -49 164 127 253 2 338 247 2117 1038 14 MP stroke -gs 2066 987 1729 1210 MR c np - 25 25 2117 1038 FO - 25 25 2455 1285 FO - 25 25 2708 1287 FO - 25 25 2872 1414 FO - 25 25 3010 1365 FO - 25 25 3104 1527 FO - 25 25 3224 1789 FO - 25 25 3292 1715 FO - 25 25 3386 1766 FO - 25 25 3455 2024 FO - 25 25 3518 1927 FO - 25 25 3601 2145 FO - 25 25 3662 2077 FO - 25 25 3743 2116 FO -gr - -DD -81 32 61 24 83 33 63 25 69 27 94 37 68 27 120 47 -94 37 138 55 164 64 253 100 338 134 747 294 1370 716 15 MP stroke -c9 -81 16 61 12 83 17 63 12 69 14 94 18 68 14 120 23 -94 19 138 27 164 32 253 50 338 67 747 147 1370 929 15 MP stroke -c10 -81 48 61 36 83 49 63 37 69 41 94 56 68 40 120 71 -94 56 138 82 164 96 253 150 338 201 747 442 1370 1395 15 MP stroke -gr - -c10 -DD -0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -2366 206 mt -(Fehler) s -2307 3432 mt -(Elemente) s - 388 1926 mt -90 rotate -(Schaetzer) s -90 rotate - 612 3237 mt -( ) s -4333 300 mt -( ) s -SO -1 sg -0 1343 886 0 0 -1343 665 3166 4 MP -PP --886 0 0 1343 886 0 0 -1343 665 3166 5 MP stroke -2.77778 w -DO -SO -4.16667 w -0 sg - 665 3166 mt 1551 3166 L - 665 3166 mt 665 1823 L - 964 1920 mt -(tilde ) s -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - -1140 1920 mt -(m) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1188 1920 mt -( tsAA A) s -gs 665 1823 887 1344 MR c np -c8 -230 0 710 1890 2 MP stroke -gs 774 1839 103 103 MR c np - 25 25 825 1890 FO -gr - -gr - -c8 -0 sg - 964 2007 mt -(tilde ) s -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - -1140 2007 mt -(m) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1188 2048 mt -(2) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1225 2007 mt -( tsAA A) s -gs 665 1823 887 1344 MR c np -c9 -230 0 710 2014 2 MP stroke -gs 774 1963 103 103 MR c np - 25 25 825 2014 FO -gr - -gr - -c9 -0 sg -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - - 964 2170 mt -(h) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1014 2170 mt -( tsAA A) s -gs 665 1823 887 1344 MR c np -c10 -230 0 710 2139 2 MP stroke -gs 774 2088 103 103 MR c np - 25 25 825 2139 FO -gr - -gr - -c10 -0 sg - 964 2275 mt -(error tsAA A) s -gs 665 1823 887 1344 MR c np -c11 -230 0 710 2244 2 MP stroke -gs 774 2193 103 103 MR c np - 25 25 825 2244 FO -gr - -gr - -c11 -0 sg -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - - 964 2380 mt -(m) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1012 2380 mt -( tsAA A) s -gs 665 1823 887 1344 MR c np -c12 -230 0 710 2349 2 MP stroke -gs 774 2298 103 103 MR c np - 25 25 825 2349 FO -gr - -gr - -c12 -0 sg -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - - 964 2485 mt -(k) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1009 2485 mt -( tsAA A) s -gs 665 1823 887 1344 MR c np -c13 -230 0 710 2454 2 MP stroke -gs 774 2403 103 103 MR c np - 25 25 825 2454 FO -gr - -gr - -c13 -0 sg -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - - 964 2590 mt -(k) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1009 2590 mt -(2 tsAA A) s -gs 665 1823 887 1344 MR c np -0.25 sg -230 0 710 2559 2 MP stroke -gs 774 2508 103 103 MR c np - 25 25 825 2559 FO -gr - -gr - -0.25 sg -0 sg -%%IncludeResource: font Symbol -/Symbol /ISOLatin1Encoding 83.3333 FMSR - - 964 2694 mt -(k) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1009 2694 mt -(3 tsAA A) s -gs 665 1823 887 1344 MR c np -c8 -230 0 710 2663 2 MP stroke -gs 774 2612 103 103 MR c np - 25 25 825 2663 FO -gr - -gr - -c8 -0 sg - 964 2829 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1024 2788 mt -(-1/2) s -gs 665 1823 887 1344 MR c np -DD -c8 -230 0 710 2788 2 MP stroke -SO -gr - -c8 -0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 964 2975 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1024 2934 mt -(-1/4) s -gs 665 1823 887 1344 MR c np -DD -c9 -230 0 710 2933 2 MP stroke -SO -gr - -c9 -0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - - 964 3120 mt -(N) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 66.6667 FMSR - -1024 3079 mt -(-3/4) s -gs 665 1823 887 1344 MR c np -DD -c10 -230 0 710 3078 2 MP stroke -SO -gr - -c10 - -end %%Color Dict - -eplot -%%EndObject - -epage -end - -showpage - -%%Trailer -%%EOF diff --git a/src/exmplAA_2DQuad_hminmax.eps b/src/exmplAA_2DQuad_hminmax.eps deleted file mode 100644 index e082e9b..0000000 --- a/src/exmplAA_2DQuad_hminmax.eps +++ /dev/null @@ -1,570 +0,0 @@ -%!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-27-generic #43-Ubuntu SMP Fri Jul 6 14:25:57 UTC 2012 x86_64. -%%Title: ./exmplAA_2DQuad_hminmax.eps -%%CreationDate: 08/02/2012 19:13:56 -%%DocumentNeededFonts: Helvetica -%%DocumentProcessColors: Cyan Magenta Yellow Black -%%Extensions: CMYK -%%Pages: 1 -%%BoundingBox: 53 195 550 602 -%%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: 53 195 550 602 -MathWorks begin -bpage -%%EndPageSetup - -%%BeginObject: obj1 -bplot - -/dpi2point 8.33333 def -portraitMode 0150 5100 csm - - 294 78 4145 3389 MR c np -85 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 - 997 3206 mt 997 3187 L - 997 270 mt 997 288 L -1215 3206 mt 1215 3187 L -1215 270 mt 1215 288 L -1370 3206 mt 1370 3187 L -1370 270 mt 1370 288 L -1490 3206 mt 1490 3187 L -1490 270 mt 1490 288 L -1588 3206 mt 1588 3187 L -1588 270 mt 1588 288 L -1671 3206 mt 1671 3187 L -1671 270 mt 1671 288 L -1743 3206 mt 1743 3187 L -1743 270 mt 1743 288 L -1807 3206 mt 1807 3187 L -1807 270 mt 1807 288 L -1864 3206 mt 1864 3187 L -1864 270 mt 1864 288 L -1864 3206 mt 1864 3168 L -1864 270 mt 1864 307 L -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1803 3332 mt -(10) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 55.5556 FMSR - -1895 3281 mt -(1) s -2237 3206 mt 2237 3187 L -2237 270 mt 2237 288 L -2455 3206 mt 2455 3187 L -2455 270 mt 2455 288 L -2610 3206 mt 2610 3187 L -2610 270 mt 2610 288 L -2730 3206 mt 2730 3187 L -2730 270 mt 2730 288 L -2828 3206 mt 2828 3187 L -2828 270 mt 2828 288 L -2911 3206 mt 2911 3187 L -2911 270 mt 2911 288 L -2983 3206 mt 2983 3187 L -2983 270 mt 2983 288 L -3047 3206 mt 3047 3187 L -3047 270 mt 3047 288 L -3104 3206 mt 3104 3187 L -3104 270 mt 3104 288 L -3104 3206 mt 3104 3168 L -3104 270 mt 3104 307 L -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -3043 3332 mt -(10) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 55.5556 FMSR - -3135 3281 mt -(2) s -3477 3206 mt 3477 3187 L -3477 270 mt 3477 288 L -3695 3206 mt 3695 3187 L -3695 270 mt 3695 288 L -3850 3206 mt 3850 3187 L -3850 270 mt 3850 288 L -3970 3206 mt 3970 3187 L -3970 270 mt 3970 288 L -4068 3206 mt 4068 3187 L -4068 270 mt 4068 288 L -4151 3206 mt 4151 3187 L -4151 270 mt 4151 288 L -4223 3206 mt 4223 3187 L -4223 270 mt 4223 288 L -4287 3206 mt 4287 3187 L -4287 270 mt 4287 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 -(3) 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 -(-3) s - 624 2911 mt 642 2911 L -4344 2911 mt 4325 2911 L - 624 2739 mt 642 2739 L -4344 2739 mt 4325 2739 L - 624 2616 mt 642 2616 L -4344 2616 mt 4325 2616 L - 624 2521 mt 642 2521 L -4344 2521 mt 4325 2521 L - 624 2444 mt 642 2444 L -4344 2444 mt 4325 2444 L - 624 2378 mt 642 2378 L -4344 2378 mt 4325 2378 L - 624 2322 mt 642 2322 L -4344 2322 mt 4325 2322 L - 624 2272 mt 642 2272 L -4344 2272 mt 4325 2272 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 -(-2) s - 624 1932 mt 642 1932 L -4344 1932 mt 4325 1932 L - 624 1760 mt 642 1760 L -4344 1760 mt 4325 1760 L - 624 1638 mt 642 1638 L -4344 1638 mt 4325 1638 L - 624 1543 mt 642 1543 L -4344 1543 mt 4325 1543 L - 624 1465 mt 642 1465 L -4344 1465 mt 4325 1465 L - 624 1400 mt 642 1400 L -4344 1400 mt 4325 1400 L - 624 1343 mt 642 1343 L -4344 1343 mt 4325 1343 L - 624 1293 mt 642 1293 L -4344 1293 mt 4325 1293 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 -(-1) s - 624 954 mt 642 954 L -4344 954 mt 4325 954 L - 624 781 mt 642 781 L -4344 781 mt 4325 781 L - 624 659 mt 642 659 L -4344 659 mt 4325 659 L - 624 564 mt 642 564 L -4344 564 mt 4325 564 L - 624 487 mt 642 487 L -4344 487 mt 4325 487 L - 624 421 mt 642 421 L -4344 421 mt 4325 421 L - 624 364 mt 642 364 L -4344 364 mt 4325 364 L - 624 314 mt 642 314 L -4344 314 mt 4325 314 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 -(0) 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 624 269 3721 2938 MR c np -/c8 { 0.000000 0.000000 1.000000 sr} bdef -c8 -81 295 61 294 83 0 63 295 69 0 94 294 68 295 120 0 -94 295 138 0 164 294 253 295 338 294 747 0 1370 270 15 MP stroke -gr - -c8 -gs 1319 219 2476 2754 MR c np - 25 25 1370 270 FO - 25 25 2117 270 FO - 25 25 2455 564 FO - 25 25 2708 859 FO - 25 25 2872 1153 FO - 25 25 3010 1153 FO - 25 25 3104 1448 FO - 25 25 3224 1448 FO - 25 25 3292 1743 FO - 25 25 3386 2037 FO - 25 25 3455 2037 FO - 25 25 3518 2332 FO - 25 25 3601 2332 FO - 25 25 3662 2626 FO - 25 25 3743 2921 FO -gr - -gs 624 269 3721 2938 MR c np -/c9 { 0.000000 0.500000 0.000000 sr} bdef -c9 -81 295 61 0 83 294 63 0 69 0 94 295 68 0 120 295 -94 0 138 0 164 294 253 295 338 294 747 0 1370 270 15 MP stroke -gr - -c9 -gs 1319 219 2476 2165 MR c np - 25 25 1370 270 FO - 25 25 2117 270 FO - 25 25 2455 564 FO - 25 25 2708 859 FO - 25 25 2872 1153 FO - 25 25 3010 1153 FO - 25 25 3104 1153 FO - 25 25 3224 1448 FO - 25 25 3292 1448 FO - 25 25 3386 1743 FO - 25 25 3455 1743 FO - 25 25 3518 1743 FO - 25 25 3601 2037 FO - 25 25 3662 2037 FO - 25 25 3743 2332 FO -gr - -gs 624 269 3721 2938 MR c np -/c10 { 1.000000 0.000000 0.000000 sr} bdef -c10 -81 295 61 294 83 0 63 295 69 0 94 294 68 295 120 0 -94 295 138 294 164 295 253 0 338 294 747 0 1370 270 15 MP stroke -gr - -c10 -gs 1319 219 2476 2754 MR c np - 25 25 1370 270 FO - 25 25 2117 270 FO - 25 25 2455 564 FO - 25 25 2708 564 FO - 25 25 2872 859 FO - 25 25 3010 1153 FO - 25 25 3104 1448 FO - 25 25 3224 1448 FO - 25 25 3292 1743 FO - 25 25 3386 2037 FO - 25 25 3455 2037 FO - 25 25 3518 2332 FO - 25 25 3601 2332 FO - 25 25 3662 2626 FO - 25 25 3743 2921 FO -gr - -gs 624 269 3721 2938 MR c np -gr - -0 sg -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -2279 205 mt -(hmin hmax) s -2307 3432 mt -(Elemente) s - 388 1926 mt -90 rotate -(Schaetzer) s -90 rotate - 612 3237 mt -( ) s -4333 299 mt -( ) s -1 sg -0 333 1398 0 0 -333 665 3166 4 MP -PP --1398 0 0 333 1398 0 0 -333 665 3166 5 MP stroke -2.77778 w -DO -SO -4.16667 w -0 sg - 665 3166 mt 2063 3166 L - 665 3166 mt 665 2833 L -1009 2928 mt -(min hmin/max hmax tsAA A) s -gs 665 2833 1399 334 MR c np -c8 -264 0 717 2897 2 MP stroke -gs 798 2846 103 103 MR c np - 25 25 849 2897 FO -gr - -gr - -c8 -0 sg -1009 3030 mt -(min hmax/max hmax tsAA A) s -gs 665 2833 1399 334 MR c np -c9 -264 0 717 2999 2 MP stroke -gs 798 2948 103 103 MR c np - 25 25 849 2999 FO -gr - -gr - -c9 -0 sg -1009 3132 mt -(min hmin/hmax tsAA A) s -gs 665 2833 1399 334 MR c np -c10 -264 0 717 3101 2 MP stroke -gs 798 3050 103 103 MR c np - 25 25 849 3101 FO -gr - -gr - -c10 - -end %%Color Dict - -eplot -%%EndObject - -epage -end - -showpage - -%%Trailer -%%EOF diff --git a/src/exmplAA_2DQuad_norm.eps b/src/exmplAA_2DQuad_norm.eps deleted file mode 100644 index 270a51a..0000000 --- a/src/exmplAA_2DQuad_norm.eps +++ /dev/null @@ -1,562 +0,0 @@ -%!PS-Adobe-2.0 EPSF-1.2 -%%Creator: MATLAB, The MathWorks, Inc. Version 7.14.0.739 (R2012a). Operating System: Linux 3.2.0-27-generic #43-Ubuntu SMP Fri Jul 6 14:25:57 UTC 2012 x86_64. -%%Title: ./exmplAA_2DQuad_norm.eps -%%CreationDate: 08/02/2012 19:13:56 -%%DocumentNeededFonts: Helvetica -%%DocumentProcessColors: Cyan Magenta Yellow Black -%%Extensions: CMYK -%%Pages: 1 -%%BoundingBox: 44 195 550 602 -%%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: 44 195 550 602 -MathWorks begin -bpage -%%EndPageSetup - -%%BeginObject: obj1 -bplot - -/dpi2point 8.33333 def -portraitMode 0150 5100 csm - - 223 79 4216 3388 MR c np -85 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 - 997 3206 mt 997 3187 L - 997 270 mt 997 288 L -1215 3206 mt 1215 3187 L -1215 270 mt 1215 288 L -1370 3206 mt 1370 3187 L -1370 270 mt 1370 288 L -1490 3206 mt 1490 3187 L -1490 270 mt 1490 288 L -1588 3206 mt 1588 3187 L -1588 270 mt 1588 288 L -1671 3206 mt 1671 3187 L -1671 270 mt 1671 288 L -1743 3206 mt 1743 3187 L -1743 270 mt 1743 288 L -1807 3206 mt 1807 3187 L -1807 270 mt 1807 288 L -1864 3206 mt 1864 3187 L -1864 270 mt 1864 288 L -1864 3206 mt 1864 3168 L -1864 270 mt 1864 307 L -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 83.3333 FMSR - -1803 3332 mt -(10) s -%%IncludeResource: font Helvetica -/Helvetica /ISOLatin1Encoding 55.5556 FMSR - 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-c9 - -end %%Color Dict - -eplot -%%EndObject - -epage -end - -showpage - -%%Trailer -%%EOF diff --git a/src/export_gauss.m b/src/export_gauss.m index 97ad50f..3933416 100644 --- a/src/export_gauss.m +++ b/src/export_gauss.m @@ -17,7 +17,7 @@ str = ['#ifndef GAUSS_NODES' char(10) ... ' * > for(int i=0;i sol += sin(gauss_nodes[3][i].n) * gauss_nodes[3][i].w;' char(10) ... ' *' char(10) ... -' * Peter Schaefer (Automatisch generiert durch export_gaus() )' char(10) ... +' * Peter Schaefer (Automatisch generiert durch export_gaus.m )' char(10) ... ' */' char(10) char(10) ... 'typedef struct _gauss{' char(10) ... ' double n;' char(10) ... @@ -46,4 +46,4 @@ str = [str str1 char(10) str2 char(10) '#endif' char(10)]; fid = fopen(file,'w'); fprintf(fid,'%s',str); fclose(fid); -end \ No newline at end of file +end diff --git a/src/gauss.hpp b/src/gauss.hpp index 33b4f84..93e62ee 100644 --- a/src/gauss.hpp +++ b/src/gauss.hpp @@ -15,7 +15,7 @@ * > for(int i=0;i sol += sin(gauss_nodes[3][i].n) * gauss_nodes[3][i].w; * - * Peter Schaefer (Automatisch generiert durch export_gaus() ) + * Peter Schaefer (Automatisch generiert durch export_gaus.m ) */ typedef struct _gauss{ diff --git a/src/slpRectangle.cpp b/src/slpRectangle.cpp index 96543d0..ba05318 100644 --- a/src/slpRectangle.cpp +++ b/src/slpRectangle.cpp @@ -563,6 +563,9 @@ double cParO4(double b, double d, double t, double v, double d1, double d2, //kurze Seite nach vorn switch_site(b, d, t, v, d1, d2); + //kurze Achse nach vorn + switch_dim(b, d, t, v, d1, d2); + if ((t * t + v * v) < zeta[0] * dist2(b, d, t, v, d1, d2, d3)) return calcParIntQ(b, d, t, v, d1, d2, d3);