Add matrix notes for p5-Renard-Jacquard

project-renard · Mar 23, 2018 · 4833377 · 4833377
1 parent 0f490af
commit 4833377
Showing 1 changed file with 128 additions and 5 deletions.
diff --git a/doc/development/repo/p5-Renard-Jacquard/index.mdwn b/doc/development/repo/p5-Renard-Jacquard/index.mdwn
@@ -19,12 +19,135 @@ See [[Jacquard loom|https://en.wikipedia.org/wiki/Jacquard_loom]].
 
 ## Transformation order
 
+### Rect sizes
+
+[[!teximg  code="""
+\begin{aligned}
+r_0 :  [ 2   , 0.5 ] \times [ 100, 200 ] &= [ 200, 100 ]\\
+r_1 :  [ 1   , 0.8 ] \times [ 100, 200 ] &= [ 100, 160 ] \\
+r_2 :  [ 2.5 , 0.8 ] \times [ 100, 200 ] &= [ 250, 160 ] \\
+r_3 :  [ 1   , 1.0 ] \times [ 100, 200 ] &= [ 100, 200 ] \\
+\end{aligned}
+"""]]
+
+### What is currently happening:
+
+#### Placement
+
+[[!teximg code="""
+\begin{aligned}
+r_0 &: [ 0    ,& 0   ] \\
+r_1 &: [ 250  ,& 0   ] \\
+r_2 &: [ 0    ,& 128 ] \\
+r_3 &: [ 250  ,& 160 ] \\
+\end{aligned}
+"""]]
+
+#### Matrices
+
 [[!teximg  code="""
-\begin{pmatrix}
-1 & 0 & 0 \\
-0 & 1 & 0 \\
-0 & 0 & 1 \\
-\end{pmatrix}
+\begin{aligned}
+r_2 &= \underbrace{
+    I
+}_{\text{\textbf{All}}}
+%
+\underbrace{
+    \begin{pmatrix}
+        1 & 0   & 0 & 0 \\
+        0 & 1   & 0 & 0 \\
+        0 & 0   & 1 & 0 \\
+        0 & 160 & 0 & 1 \\
+    \end{pmatrix}
+}_{\text{\textbf{Autofill(2,2)}}}
+\underbrace{
+    \begin{pmatrix}
+        2.5 & 0   & 0 & 0 \\
+        0   & 0.8 & 0 & 0 \\
+        0   & 0   & 1 & 0 \\
+        0   & 0   & 0 & 1 \\
+    \end{pmatrix}
+}_{\text{\textbf{Affine}}} \\
+&=
+    \begin{pmatrix}
+        2.5 &     0 &   0  &   0 \\
+        0   &   0.8 &   0  &   0 \\
+        0   &     0 &   1  &   0 \\
+        0   &   128 &   0  &   1 \\
+    \end{pmatrix}
+\\
+\end{aligned}
+"""]]
+
+[[!format txt """
+>> r_2 = eye(4) * [ eye(3,4) ; 20 160 0 1 ] * diag( [2.5 0.8 1 1 ] )
+
+r_2 =
+
+    2.5000         0         0         0
+         0    0.8000         0         0
+         0         0    1.0000         0
+   50.0000  128.0000         0    1.0000
+"""]]
+
+### What needs to happen:
+
+#### Placement
+
+[[!teximg code="""
+\begin{aligned}
+r_0 &: [ 0    ,& 0   ] \\
+r_1 &: [ 250  ,& 0   ] \\
+r_2 &: [ 0    ,& 160 ] \\
+r_3 &: [ 250  ,& 160 ] \\
+\end{aligned}
+"""]]
+
+#### Matrices
+
+[[!teximg code="""
+\begin{aligned}
+r_2 &=
+\underbrace{
+    \begin{pmatrix}
+        2.5 & 0   & 0 & 0 \\
+        0   & 0.8 & 0 & 0 \\
+        0   & 0   & 1 & 0 \\
+        0   & 0   & 0 & 1 \\
+    \end{pmatrix}
+}_{\text{\textbf{Affine}}}
+%
+\underbrace{
+    I
+}_{\text{\textbf{All}}}
+%
+\underbrace{
+    \begin{pmatrix}
+        1 & 0   & 0 & 0 \\
+        0 & 1   & 0 & 0 \\
+        0 & 0   & 1 & 0 \\
+        0 & 160 & 0 & 1 \\
+    \end{pmatrix}
+}_{\text{\textbf{Autofill(2,2)}}} \\
+&=
+    \begin{pmatrix}
+    2.5000 &       0  &      0 &       0 \\
+         0 &  0.8000  &      0 &       0 \\
+         0 &       0  & 1.0000 &       0 \\
+         0 &160.0000  &      0 &  1.0000 \\
+    \end{pmatrix}
+\\
+\end{aligned}
+"""]]
+
+[[!format txt """
+>> r_2 = diag( [2.5 0.8 1 1 ] ) * eye(4) * [ eye(3,4) ; 0 160 0 1 ]
+
+r_2 =
+
+    2.5000         0         0         0
+         0    0.8000         0         0
+         0         0    1.0000         0
+         0  160.0000         0    1.0000
 """]]
 
 ## UML