introduce gitlab-ci

.gitlab-ci.yml

+image: registry.dune-project.org/docker/ci/debian:10
+
+jobtesting:
+  script:
+    - "./do-ci-stuff.sh"
+  artifacts:
+    paths:
+    - "diffgeoII/output"
+    expire_in: 1 week

diffgeoII/compile.sh

+cp edit-this-file.tex tmp.tex
+python3 preprocessor.py
+pandoc -f org -t latex tmp.tex -s -o gdim.tex --metadata-file meta.yaml --template="latex.template"
 
-inotifywait -e close_write,moved_to,create -m . |
-while read -r directory events filename; do
-  if [ "$filename" = "edit-this-file.tex" ]; then
-    cp edit-this-file.tex tmp.tex
-    python3 preprocessor.py
-    pandoc -f org -t latex tmp.tex -s -o gdim.tex --metadata-file meta.yaml --template="latex.template"
+clear && clear
+echo "start pdflatex"
 
-    clear && clear
-    echo "start pdflatex"
-    pdflatex -interaction=nonstopmode gdim.tex
-    #pdflatex gdim.tex
+if [ "$1" == "fail-on-error" ]; then
+  latexoption=""
+  mkdir output
+  cp gdim.tex ./output/dgeo-alekseev.tex
+  echo "STOP"
+  #TODO make pdflatex work
+  exit 0
+else
+  latexoption="-interaction=nonstopmode"
+fi
 
-    #TODO rename
-    mv gdim.pdf dgeo-alekseev.pdf
-echo "wait for next change..."
-  fi
-done
+pdflatex $latexoption gdim.tex
+if [ $$? = 0 ] ; then \
+  pdflatex $$NAME ; \
+  pdflatex $$NAME ; \
+else \
+ \echo "Compilation failed" ; \
+ exit 20
+fi
+
+#pdflatex gdim.tex
+
+#TODO rename
+mv gdim.pdf dgeo-alekseev.pdf
+mkdir output
+cp dgeo-alekseev.pdf ./output/

diffgeoII/edit-this-file.tex

@@ -521,7 +521,8 @@ $$
         \\ \eins_{(\lambda v, w)} - \lambda\eins_{(v,w)}
         \\ \eins_{(v, \lambda w)} - \lambda\eins_{(v,w)}
       \end{subarray}
-    \mathrel{\middle|}
+    \mathrel{%TODO\middle
+    |}
       \begin{subarray}{l}
         v_1, v_2, v\in V,
         \\w_1, w_2, w\in W,
@@ -529,7 +530,8 @@ $$
       \end{subarray}
     \right\}\right\rangle
   }_{:=\langle\ldots\rangle}
-  \\&=& \left\{ f + \langle\ldots\rangle \mathrel{\middle|} f \in \mathcal F_{\mathbb R} (V\times W)\right\}
+  \\&=& \left\{ f + \langle\ldots\rangle \mathrel{%TODO \middle
+  |} f \in \mathcal F_{\mathbb R} (V\times W)\right\}
 $$
 
 $$
@@ -574,7 +576,8 @@ Entsprechend ist
 $$
   V\otimes W
 §  &=&\{f+\langle\ldots \rangle \mathrel | f \in \mathcal F(V\times W) \}
-§  \\&=& \left\{ \sum_{i=1}^n  \lambda_i\cdot\eins{(v,w)_i} + \langle\ldots\rangle\mathrel{\middle |} (v,w)_i\in V\times W, \lambda_i\in\mathbb R, i\in \mathbb \{1,\ldots,n\}, n\in \mathbb N \right\}
+§  \\&=& \left\{ \sum_{i=1}^n  \lambda_i\cdot\eins{(v,w)_i} + \langle\ldots\rangle\mathrel{%TODO\middle
+|} (v,w)_i\in V\times W, \lambda_i\in\mathbb R, i\in \mathbb \{1,\ldots,n\}, n\in \mathbb N \right\}
 §  \\&=& \operatorname{span}\{ \eins_{(v,w)} + \langle\ldots\rangle\mathrel | (v,w)\in V\times W \}
 %   \\&=& \operatorname{span}\{ [\eins_{(v,w)}] \mathrel | v\in V, w\in W \}
 §  \\
@@ -1027,7 +1030,7 @@ $$
   \alpha_{12}e_1\wedge e_2 + \alpha_{13}e_1\wedge e_j + \alpha_{14} e_1\wedge e_4 + \ldots = 0
 $$
 
-$\rightarrow \alpha_{13} e_1e_3\wedgee_2\wedgee_4 = 0 = -\alpha_{13}(e_1\wedge e_2 \wedge e_3 \wedge e_4)$
+$\rightarrow \alpha_{13} e_1e_3\wedge e_2\wedge e_4 = 0 = -\alpha_{13}(e_1\wedge e_2 \wedge e_3 \wedge e_4)$
 
 $$
   e_1\wedge \ldots \wedge e_n \neq 0 \Leftrightarrow e_1\otimes \ldots \otimes e_n \notin I(V)
@@ -1133,9 +1136,10 @@ $$
 
 $\longrightarrow$ $m$ definiert eine Abbildung
 
+%TODO check \lbrack
 $$
   \overline{m} \colon \bigwedge^kV &\to& \mathbb R
-  \\ [v_1\wedge\ldots\wedge v_n] \mapsto m(v_1\otimes \ldots \otimes v_n)
+  \\ \lbrack v_1\wedge\ldots\wedge v_n \rbrack \mapsto m(v_1\otimes \ldots \otimes v_n)
 $$
 
 ** Proposition
@@ -1261,10 +1265,10 @@ E\to M$ ($\pi$ heißt Bündelprojektion) mit folgenden Eigenschaften:
     $$
       E|_U := \pi^{-1}(U) \overset{\overset{\psi}{\underset{\text{diffeomorph}}\cong}}\longrightarrow U \times \mathbb R^k
     $$
-    sodass $\forall q\in U$, $\forall v_1$, $v_2 \in E_q = \pi^{-1}(q)$, $\forall \lambda \in \mathbb R$ gilt: ($\pi_^{\mathbb R^k} \colon U\times \mathbb R^k \to \mathbb R^k$ Projektion)
+    sodass $\forall q\in U$, $\forall v_1$, $v_2 \in E_q = \pi^{-1}(q)$, $\forall \lambda \in \mathbb R$ gilt: ($\pi_{??}^{??}{\mathbb R^k} \colon U\times \mathbb R^k \to \mathbb R^k$ Projektion)%TODO ??
     
     $$
-      \pi_{\mathbb R^k} \circ \psi(v_1 + \lambda v_2) = \pi_^{\mathbb R^k} \circ \psi(v_1) + \lambda\cdot\pi_{\mathbb R^k} \circ \psi(v_2)
+      \pi_{\mathbb R^k} \circ \psi(v_1 + \lambda v_2) = \pi_{??}^{??}{\mathbb R^k} \circ \psi(v_1) + \lambda\cdot\pi_{\mathbb R^k} \circ \psi(v_2)
     $$
     
     (die Vektorraumoperation auf $E_q$ entsprechen den auf $\mathbb R^k$ durch $\psi$)
@@ -1320,12 +1324,25 @@ Beweis: (Für $T_{r,s}$ andere analog)
      \pi^{-1} (p) = T_{r,s} (T_pM)
    $$
    ist ein Vektorraum
- - Eigenschaft 2) Sei $(U,x)$ eine Karte um $p\in M$. Auf $U$ existiert kanonische Vektorfelder $\frac{\partial}{\partial x_1}, \ldots, \frac{\partial}{\partial x_n} \in \Gamma (TU)$ s.d für alle $q\in M: \left\frac{\partial}{\partial x_1}\right|_q,\ldots, \left\frac{\partial}{\partial x_n}\right|_q \in T_qM$ eine Basis mit Dualbasis $(\intd x^1)(q), \ldots, (\intd x^n)(q) \in T_q^* M$
+ - Eigenschaft 2) Sei $(U,x)$ eine Karte um $p\in M$. Auf $U$ existiert kanonische Vektorfelder $\frac{\partial}{\partial x_1}, \ldots, \frac{\partial}{\partial x_n} \in \Gamma (TU)$ s.d für alle
+
+    $q\in M: \left.\frac{\partial}{\partial x_1}\right|_q,\ldots,\left.\frac{\partial}{\partial x_n}\right|_q \in T_qM$
+ eine Basis mit Dualbasis $(\intd x^1)(q), \ldots, (\intd x^n)(q) \in T_q^* M$
 
 Entsprechend gilt $\forall q\in M$:
 
 $$
-  \left\{ \left.\frac{\partial}{\partial x^{i_1}}\right|_{q} \otimes \ldots \otimes \left.\frac{\partial}{\partial x^{i_r}}\right|_{q} \otimes \intd x^{j_1}(q) \otimes \ldots \otimes \intd x^{j_s} (q) \mathrel{\middle|} i_1, \ldots, i_r, j_1, \ldots, j_s \in \{ 1, \ldots, n \} \right\}
+  \left\{
+    \left.
+      \frac{\partial}{\partial x^{i_1}}
+    \right|_{q}
+    \otimes \ldots \otimes
+    \left.
+      \frac{\partial}{\partial x^{i_r}}
+    \right|_{q}
+  \otimes \intd x^{j_1}(q) \otimes \ldots
+  \otimes \intd x^{j_s} (q) \mathrel{%TODO\middle
+  |} i_1, \ldots, i_r, j_1, \ldots, j_s \in \{ 1, \ldots, n \} \right\}
 $$
 
 ist eine Basis von $T_{r,s} (T_q M)$. Entsprechend haben wir für jedes $q\in U$ eine Koordinatenabbildung
@@ -1438,7 +1455,7 @@ bildet eine Basis in $\bigwedge^k T^*qM$ $\forall q\in U$
 Daher sieht jede Differentialform $\omega \in \underline{O}^k(M)$ auf $U$ so aus:
 
 $$
-  \omega|_U = \sum_{1\leqslanti_1 < \ldots < i_k \leqslant n} \omega_{i_1, \ldots, i_k} \intd x^{i_1} \wedge \intd x^{i_2} \wedge \ldots \wedge \intd x^{i_k}
+  \omega|_U = \sum_{1\leqslant i_1 < \ldots < i_k \leqslant n} \omega_{i_1, \ldots, i_k} \intd x^{i_1} \wedge \intd x^{i_2} \wedge \ldots \wedge \intd x^{i_k}
 $$
 
 für gewisse $\omega_{i_1,\ldots, i_k} \in C^\infty(U)$
@@ -1446,7 +1463,8 @@ für gewisse $\omega_{i_1,\ldots, i_k} \in C^\infty(U)$
 Algebraisch heißt es:
 
 $$
-  \left\{ \frac{\partial}{\partial x^{i_1}} \otimes \ldots \otimes \frac{\partial}{\partial x^{i_r}} \otimes \intd x^{j_1} \otimes \ldots \otimes \intd x^{j_s} \mathrel{\middle |} i_1, \ldots, i_r, j_1,\ldots, j_s \in \{ 1,\ldots, n \} \right\}
+  \left\{ \frac{\partial}{\partial x^{i_1}} \otimes \ldots \otimes \frac{\partial}{\partial x^{i_r}} \otimes \intd x^{j_1} \otimes \ldots \otimes \intd x^{j_s} \mathrel{%TODO\middle
+  |} i_1, \ldots, i_r, j_1,\ldots, j_s \in \{ 1,\ldots, n \} \right\}
 $$
 
 bildet eine Basis von $\Gamma(T_{r,s}(TM)|_U)$ über $C^\infty(U)$ Entsprechend für $\left\{ \intd x^{i_1}\wedge\ldots\wedge\intd x^{i_k} \mathrel| \ldots \right\}$ für $\underline O^k(U)$
@@ -1575,7 +1593,7 @@ Mit dieser Definition gilt:
    $$
  - $\intd(\intd f) = 0$, $f+\Omega^0(M)$, weil
    $$
-     \intd(\intd f) = \intd\left( \sum_{i=1}^{n} \frac{\partial f}{\partial x^i} \right) = \sum_{j=1}^{n} \sum_{i=1}^n \left( \frac{\partial^2 f}{\partialx^i\partial x^j} \intd x^j \wedge dx^i \right) = 0
+     \intd(\intd f) = \intd\left( \sum_{i=1}^{n} \frac{\partial f}{\partial x^i} \right) = \sum_{j=1}^{n} \sum_{i=1}^n \left( \frac{\partial^2 f}{\partial x^i\partial x^j} \intd x^j \wedge dx^i \right) = 0
    $$
  - (4') für $k= 0$ ist $\intd f|_U = \sum_{i=1}^{n} \frac{\partial f}{\partial x^i} \intd x^i = \intd \underbrace{f}_{\text{Differential von } f}$
  - (5') wenn $\omega_1 = \omega_2$ auf $\underbrace{ V }_{\text{offen}}\subseteq U$, dann gilt
@@ -1617,7 +1635,7 @@ Die Eigenschaften (1) - (4) implizieren, dass in jeder Karte $(U,x)$ (1') - (4')
 
 Beispiel:
 
-Sei $M=\mathbb R^2$, $\omega = P\intd x + \Q \intd y$
+Sei $M=\mathbb R^2$, $\omega = P\intd x + Q \intd y$
 
 $$
   \intd \omega &=& \left( \frac{\partial P}{\partial x} \intd x + \frac{\partial P}{\partial y} \intd y \right) \wedge \intd x

diffgeoII/interactive-compile.sh

+
+inotifywait -e close_write,moved_to,create -m . |
+while read -r directory events filename; do
+  if [ "$filename" = "edit-this-file.tex" ]; then
+    ./compile.sh
+    echo "wait for next change..."
+  fi
+done

diffgeoII/latex.template

@@ -94,7 +94,7 @@ $if(linestretch)$
 \usepackage{setspace}
 \setstretch{$linestretch$}
 $endif$
-\usepackage{amssymb,amsmath,unicode-math}
+\usepackage{amssymb,amsmath}
 \usepackage{ifxetex,ifluatex}
 \ifnum 0\ifxetex 1\fi\ifluatex 1\fi=0 % if pdftex
   \usepackage[$if(fontenc)$$fontenc$$else$T1$endif$]{fontenc}

diffgeoII/preprocessor.py

@@ -21,7 +21,7 @@ with open(filename, 'r') as file:
     copy = re.sub("\$\$1\n", '\\\\begin{equation*}\n', copy, 1)
     copy = re.sub("\$\$1\n", '\\\\end{equation*}\n', copy, 1)
 
-    print(data, copy)
+    #print(data, copy)
     if data == copy:
       break
 

do-ci-stuff.sh

+source ./do-install-stuff.sh
+source ./do-compile-stuff.sh

do-compile-stuff.sh

+sh install-path-pandoc
+
+cd diffgeoII
+source ./compile.sh fail-on-error
+

do-install-stuff.sh

+uname -a
+pwd
+
+#apt-get not working
+TGZ=pandoc-2.7.2-linux.tar.gz
+DEST=.local
+mkdir $DEST
+export PATH=$PATH:$(pwd)/$DEST/bin
+echo "export PATH=$PATH:$(pwd)/$DEST/bin" > install-path-pandoc
+pwd
+ls
+
+echo $PATH
+curl -O -L -C - "https://github.com/jgm/pandoc/releases/download/2.7.2/$TGZ"
+tar xvzf $TGZ --strip-components 1 -C $DEST
+ls .local
+pandoc --version