Squashed 'third_party/eigen/' content from commit 61d72f6

Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/debug/gdb/__init__.py b/debug/gdb/__init__.py
new file mode 100644
index 0000000..bb7b160
--- /dev/null
+++ b/debug/gdb/__init__.py
@@ -0,0 +1 @@
+# Intentionally empty
diff --git a/debug/gdb/printers.py b/debug/gdb/printers.py
new file mode 100644
index 0000000..86996a4
--- /dev/null
+++ b/debug/gdb/printers.py
@@ -0,0 +1,208 @@
+# -*- coding: utf-8 -*-
+# This file is part of Eigen, a lightweight C++ template library
+# for linear algebra.
+#
+# Copyright (C) 2009 Benjamin Schindler <bschindler@inf.ethz.ch>
+#
+# This Source Code Form is subject to the terms of the Mozilla Public
+# License, v. 2.0. If a copy of the MPL was not distributed with this
+# file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+# Pretty printers for Eigen::Matrix
+# This is still pretty basic as the python extension to gdb is still pretty basic. 
+# It cannot handle complex eigen types and it doesn't support any of the other eigen types
+# Such as quaternion or some other type. 
+# This code supports fixed size as well as dynamic size matrices
+
+# To use it:
+#
+# * Create a directory and put the file as well as an empty __init__.py in 
+#   that directory.
+# * Create a ~/.gdbinit file, that contains the following:
+#      python
+#      import sys
+#      sys.path.insert(0, '/path/to/eigen/printer/directory')
+#      from printers import register_eigen_printers
+#      register_eigen_printers (None)
+#      end
+
+import gdb
+import re
+import itertools
+
+
+class EigenMatrixPrinter:
+	"Print Eigen Matrix or Array of some kind"
+
+	def __init__(self, variety, val):
+		"Extract all the necessary information"
+		
+		# Save the variety (presumably "Matrix" or "Array") for later usage
+		self.variety = variety
+		
+		# The gdb extension does not support value template arguments - need to extract them by hand
+		type = val.type
+		if type.code == gdb.TYPE_CODE_REF:
+			type = type.target()
+		self.type = type.unqualified().strip_typedefs()
+		tag = self.type.tag
+		regex = re.compile('\<.*\>')
+		m = regex.findall(tag)[0][1:-1]
+		template_params = m.split(',')
+		template_params = map(lambda x:x.replace(" ", ""), template_params)
+		
+		if template_params[1] == '-0x00000000000000001' or template_params[1] == '-0x000000001' or template_params[1] == '-1':
+			self.rows = val['m_storage']['m_rows']
+		else:
+			self.rows = int(template_params[1])
+		
+		if template_params[2] == '-0x00000000000000001' or template_params[2] == '-0x000000001' or template_params[2] == '-1':
+			self.cols = val['m_storage']['m_cols']
+		else:
+			self.cols = int(template_params[2])
+		
+		self.options = 0 # default value
+		if len(template_params) > 3:
+			self.options = template_params[3];
+		
+		self.rowMajor = (int(self.options) & 0x1)
+		
+		self.innerType = self.type.template_argument(0)
+		
+		self.val = val
+		
+		# Fixed size matrices have a struct as their storage, so we need to walk through this
+		self.data = self.val['m_storage']['m_data']
+		if self.data.type.code == gdb.TYPE_CODE_STRUCT:
+			self.data = self.data['array']
+			self.data = self.data.cast(self.innerType.pointer())
+			
+	class _iterator:
+		def __init__ (self, rows, cols, dataPtr, rowMajor):
+			self.rows = rows
+			self.cols = cols
+			self.dataPtr = dataPtr
+			self.currentRow = 0
+			self.currentCol = 0
+			self.rowMajor = rowMajor
+			
+		def __iter__ (self):
+			return self
+			
+		def next(self):
+			
+			row = self.currentRow
+			col = self.currentCol
+			if self.rowMajor == 0:
+				if self.currentCol >= self.cols:
+					raise StopIteration
+					
+				self.currentRow = self.currentRow + 1
+				if self.currentRow >= self.rows:
+					self.currentRow = 0
+					self.currentCol = self.currentCol + 1
+			else:
+				if self.currentRow >= self.rows:
+					raise StopIteration
+					
+				self.currentCol = self.currentCol + 1
+				if self.currentCol >= self.cols:
+					self.currentCol = 0
+					self.currentRow = self.currentRow + 1
+				
+			
+			item = self.dataPtr.dereference()
+			self.dataPtr = self.dataPtr + 1
+			if (self.cols == 1): #if it's a column vector
+				return ('[%d]' % (row,), item)
+			elif (self.rows == 1): #if it's a row vector
+				return ('[%d]' % (col,), item)
+			return ('[%d,%d]' % (row, col), item)
+			
+	def children(self):
+		
+		return self._iterator(self.rows, self.cols, self.data, self.rowMajor)
+		
+	def to_string(self):
+		return "Eigen::%s<%s,%d,%d,%s> (data ptr: %s)" % (self.variety, self.innerType, self.rows, self.cols, "RowMajor" if self.rowMajor else  "ColMajor", self.data)
+
+class EigenQuaternionPrinter:
+	"Print an Eigen Quaternion"
+	
+	def __init__(self, val):
+		"Extract all the necessary information"
+		# The gdb extension does not support value template arguments - need to extract them by hand
+		type = val.type
+		if type.code == gdb.TYPE_CODE_REF:
+			type = type.target()
+		self.type = type.unqualified().strip_typedefs()
+		self.innerType = self.type.template_argument(0)
+		self.val = val
+		
+		# Quaternions have a struct as their storage, so we need to walk through this
+		self.data = self.val['m_coeffs']['m_storage']['m_data']['array']
+		self.data = self.data.cast(self.innerType.pointer())
+			
+	class _iterator:
+		def __init__ (self, dataPtr):
+			self.dataPtr = dataPtr
+			self.currentElement = 0
+			self.elementNames = ['x', 'y', 'z', 'w']
+			
+		def __iter__ (self):
+			return self
+			
+		def next(self):
+			element = self.currentElement
+			
+			if self.currentElement >= 4: #there are 4 elements in a quanternion
+				raise StopIteration
+			
+			self.currentElement = self.currentElement + 1
+			
+			item = self.dataPtr.dereference()
+			self.dataPtr = self.dataPtr + 1
+			return ('[%s]' % (self.elementNames[element],), item)
+			
+	def children(self):
+		
+		return self._iterator(self.data)
+	
+	def to_string(self):
+		return "Eigen::Quaternion<%s> (data ptr: %s)" % (self.innerType, self.data)
+
+def build_eigen_dictionary ():
+	pretty_printers_dict[re.compile('^Eigen::Quaternion<.*>$')] = lambda val: EigenQuaternionPrinter(val)
+	pretty_printers_dict[re.compile('^Eigen::Matrix<.*>$')] = lambda val: EigenMatrixPrinter("Matrix", val)
+	pretty_printers_dict[re.compile('^Eigen::Array<.*>$')]  = lambda val: EigenMatrixPrinter("Array",  val)
+
+def register_eigen_printers(obj):
+	"Register eigen pretty-printers with objfile Obj"
+
+	if obj == None:
+		obj = gdb
+	obj.pretty_printers.append(lookup_function)
+
+def lookup_function(val):
+	"Look-up and return a pretty-printer that can print va."
+	
+	type = val.type
+	
+	if type.code == gdb.TYPE_CODE_REF:
+		type = type.target()
+	
+	type = type.unqualified().strip_typedefs()
+	
+	typename = type.tag
+	if typename == None:
+		return None
+	
+	for function in pretty_printers_dict:
+		if function.search(typename):
+			return pretty_printers_dict[function](val)
+	
+	return None
+
+pretty_printers_dict = {}
+
+build_eigen_dictionary ()
diff --git a/debug/msvc/eigen.natvis b/debug/msvc/eigen.natvis
new file mode 100644
index 0000000..da89857
--- /dev/null
+++ b/debug/msvc/eigen.natvis
@@ -0,0 +1,235 @@
+<?xml version="1.0" encoding="utf-8"?>

+

+<AutoVisualizer xmlns="http://schemas.microsoft.com/vstudio/debugger/natvis/2010">

+

+  <!-- Fixed x Fixed Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,*,*,*,*,*&gt;">      

+      <AlternativeType Name="Eigen::Array&lt;*,-1,-1,*,*,*&gt;"/>

+      <DisplayString>[{$T2}, {$T3}] (fixed matrix)</DisplayString>

+      <Expand>

+        <ArrayItems Condition="Flags%2"> <!-- row major layout -->

+          <Rank>2</Rank>

+          <Size>$i==0 ? $T2 : $T3</Size>

+          <ValuePointer>m_storage.m_data.array</ValuePointer>

+        </ArrayItems>

+        <ArrayItems Condition="!(Flags%2)"> <!-- column major layout -->

+          <Direction>Backward</Direction>

+          <Rank>2</Rank>

+          <Size>$i==0 ? $T2 : $T3</Size>

+          <ValuePointer>m_storage.m_data.array</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- 2 x 2 Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,2,2,*,*,*&gt;">      

+      <AlternativeType Name="Eigen::Array&lt;*,2,2,*,*,*&gt;"/>

+      <DisplayString>[2, 2] (fixed matrix)</DisplayString>

+      <Expand>

+        <Synthetic Name="[row 0]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 0]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[2]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[2]}, {m_storage.m_data.array[3]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[1]}, {m_storage.m_data.array[3]})</DisplayString>

+        </Synthetic>        

+      </Expand>

+  </Type>

+  

+  <!-- 3 x 3 Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,3,3,*,*,*&gt;">      

+      <AlternativeType Name="Eigen::Array&lt;*,3,3,*,*,*&gt;"/>

+      <DisplayString>[3, 3] (fixed matrix)</DisplayString>

+      <Expand>

+        <Synthetic Name="[row 0]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]}, {m_storage.m_data.array[2]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 0]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[3]}, {m_storage.m_data.array[6]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[3]}, {m_storage.m_data.array[4]}, {m_storage.m_data.array[5]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[1]}, {m_storage.m_data.array[4]}, {m_storage.m_data.array[7]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 2]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[6]}, {m_storage.m_data.array[7]}, {m_storage.m_data.array[8]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 2]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[2]}, {m_storage.m_data.array[5]}, {m_storage.m_data.array[8]})</DisplayString>

+        </Synthetic>        

+      </Expand>

+  </Type>

+  

+  <!-- 4 x 4 Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,4,4,*,*,*&gt;">      

+      <AlternativeType Name="Eigen::Array&lt;*,4,4,*,*,*&gt;"/>

+      <DisplayString>[4, 4] (fixed matrix)</DisplayString>

+      <Expand>

+        <Synthetic Name="[row 0]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]}, {m_storage.m_data.array[2]}, {m_storage.m_data.array[3]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 0]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[0]}, {m_storage.m_data.array[4]}, {m_storage.m_data.array[8]}, {m_storage.m_data.array[12]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[4]}, {m_storage.m_data.array[5]}, {m_storage.m_data.array[6]}, {m_storage.m_data.array[7]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 1]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[1]}, {m_storage.m_data.array[5]}, {m_storage.m_data.array[9]}, {m_storage.m_data.array[13]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 2]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[8]}, {m_storage.m_data.array[9]}, {m_storage.m_data.array[10]}, {m_storage.m_data.array[11]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 2]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[2]}, {m_storage.m_data.array[6]}, {m_storage.m_data.array[10]}, {m_storage.m_data.array[14]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 3]" Condition="Flags%2">

+          <DisplayString>({m_storage.m_data.array[12]}, {m_storage.m_data.array[13]}, {m_storage.m_data.array[14]}, {m_storage.m_data.array[15]})</DisplayString>

+        </Synthetic>

+        <Synthetic Name="[row 3]" Condition="!(Flags%2)">

+          <DisplayString>({m_storage.m_data.array[3]}, {m_storage.m_data.array[7]}, {m_storage.m_data.array[11]}, {m_storage.m_data.array[15]})</DisplayString>

+        </Synthetic>        

+      </Expand>

+  </Type>  

+  

+  <!-- Dynamic x Dynamic Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,-1,-1,*,*,*&gt;">      

+      <AlternativeType Name="Eigen::Array&lt;*,-1,-1,*,*,*&gt;"/>

+      <DisplayString Condition="m_storage.m_data == 0">empty</DisplayString>

+      <DisplayString Condition="m_storage.m_data != 0">[{m_storage.m_rows}, {m_storage.m_cols}] (dynamic matrix)</DisplayString>

+      <Expand>

+        <ArrayItems Condition="Flags%2"> <!-- row major layout -->

+          <Rank>2</Rank>

+          <Size>$i==0 ? m_storage.m_rows : m_storage.m_cols</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+        <ArrayItems Condition="!(Flags%2)"> <!-- column major layout -->

+          <Direction>Backward</Direction>

+          <Rank>2</Rank>

+          <Size>$i==0 ? m_storage.m_rows : m_storage.m_cols</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- Fixed x Dynamic Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,*,-1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Array&lt;*,*,-1,*,*,*&gt;"/>

+      <DisplayString Condition="m_storage.m_data == 0">empty</DisplayString>

+      <DisplayString Condition="m_storage.m_data != 0">[{$T2}, {m_storage.m_cols}] (dynamic column matrix)</DisplayString>

+      <Expand>

+        <ArrayItems Condition="Flags%2"> <!-- row major layout -->

+          <Rank>2</Rank>

+          <Size>$i==0 ? $T2 : m_storage.m_cols</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+        <ArrayItems Condition="!(Flags%2)"> <!-- column major layout -->

+          <Direction>Backward</Direction>

+          <Rank>2</Rank>

+          <Size>$i==0 ? $T2 : m_storage.m_cols</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- Dynamic x Fixed Matrix -->

+  <Type Name="Eigen::Matrix&lt;*,-1,*,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Array&lt;*,-1,*,*,*,*&gt;"/>

+      <DisplayString Condition="m_storage.m_data == 0">empty</DisplayString>

+      <DisplayString Condition="m_storage.m_data != 0">[{m_storage.m_rows}, {$T2}] (dynamic row matrix)</DisplayString>

+      <Expand>

+        <ArrayItems Condition="Flags%2"> <!-- row major layout -->

+          <Rank>2</Rank>

+          <Size>$i==0 ? m_storage.m_rows : $T2</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+        <ArrayItems Condition="!(Flags%2)"> <!-- column major layout -->

+          <Direction>Backward</Direction>

+          <Rank>2</Rank>

+          <Size>$i==0 ? m_storage.m_rows : $T2</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- Dynamic Column Vector -->

+  <Type Name="Eigen::Matrix&lt;*,1,-1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Array&lt;*,1,-1,*,*,*&gt;"/>

+      <DisplayString Condition="m_storage.m_data == 0">empty</DisplayString>

+      <DisplayString Condition="m_storage.m_data != 0">[{m_storage.m_cols}] (dynamic column vector)</DisplayString>

+      <Expand>

+        <Item Name="[size]">m_storage.m_cols</Item>

+        <ArrayItems>

+          <Size>m_storage.m_cols</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- Dynamic Row Vector -->

+  <Type Name="Eigen::Matrix&lt;*,-1,1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Array&lt;*,-1,1,*,*,*&gt;"/>

+      <DisplayString Condition="m_storage.m_data == 0">empty</DisplayString>

+      <DisplayString Condition="m_storage.m_data != 0">[{m_storage.m_rows}] (dynamic row vector)</DisplayString>

+      <Expand>

+        <Item Name="[size]">m_storage.m_rows</Item>

+        <ArrayItems>

+          <Size>m_storage.m_rows</Size>

+          <ValuePointer>m_storage.m_data</ValuePointer>

+        </ArrayItems>

+      </Expand>

+  </Type>

+  

+  <!-- Fixed Vector -->

+  <Type Name="Eigen::Matrix&lt;*,1,1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Array&lt;*,1,1,*,*,*&gt;"/>

+      <DisplayString>[1] ({m_storage.m_data.array[0]})</DisplayString>

+      <Expand>

+        <Item Name="[x]">m_storage.m_data.array[0]</Item>

+      </Expand>

+  </Type>

+  

+  <Type Name="Eigen::Matrix&lt;*,2,1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Matrix&lt;*,1,2,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,2,1,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,1,2,*,*,*&gt;"/>

+      <DisplayString>[2] ({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]})</DisplayString>

+      <Expand>

+        <Item Name="[x]">m_storage.m_data.array[0]</Item>

+        <Item Name="[y]">m_storage.m_data.array[1]</Item>

+      </Expand>

+  </Type>

+  

+  <Type Name="Eigen::Matrix&lt;*,3,1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Matrix&lt;*,1,3,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,3,1,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,1,3,*,*,*&gt;"/>

+      <DisplayString>[3] ({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]}, {m_storage.m_data.array[2]})</DisplayString>

+      <Expand>

+        <Item Name="[x]">m_storage.m_data.array[0]</Item>

+        <Item Name="[y]">m_storage.m_data.array[1]</Item>

+        <Item Name="[z]">m_storage.m_data.array[2]</Item>

+      </Expand>

+  </Type>

+  

+    <Type Name="Eigen::Matrix&lt;*,4,1,*,*,*&gt;">

+      <AlternativeType Name="Eigen::Matrix&lt;*,1,4,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,4,1,*,*,*&gt;"/>

+      <AlternativeType Name="Eigen::Array&lt;*,1,4,*,*,*&gt;"/>

+      <DisplayString>[4] ({m_storage.m_data.array[0]}, {m_storage.m_data.array[1]}, {m_storage.m_data.array[2]}, {m_storage.m_data.array[3]})</DisplayString>

+      <Expand>

+        <Item Name="[x]">m_storage.m_data.array[0]</Item>

+        <Item Name="[y]">m_storage.m_data.array[1]</Item>

+        <Item Name="[z]">m_storage.m_data.array[2]</Item>

+        <Item Name="[w]">m_storage.m_data.array[3]</Item>

+      </Expand>

+  </Type>

+

+</AutoVisualizer>

diff --git a/debug/msvc/eigen_autoexp_part.dat b/debug/msvc/eigen_autoexp_part.dat
new file mode 100644
index 0000000..07aa437
--- /dev/null
+++ b/debug/msvc/eigen_autoexp_part.dat
@@ -0,0 +1,295 @@
+; ***************************************************************

+; * Eigen Visualizer

+; *

+; * Author: Hauke Heibel <hauke.heibel@gmail.com>

+; *

+; * Support the enhanced debugging of the following Eigen

+; * types (*: any, +:fixed dimension) :

+; *

+; * - Eigen::Matrix<*,4,1,*,*,*> and Eigen::Matrix<*,1,4,*,*,*>

+; * - Eigen::Matrix<*,3,1,*,*,*> and Eigen::Matrix<*,1,3,*,*,*>

+; * - Eigen::Matrix<*,2,1,*,*,*> and Eigen::Matrix<*,1,2,*,*,*>

+; * - Eigen::Matrix<*,-1,-1,*,*,*>

+; * - Eigen::Matrix<*,+,-1,*,*,*>

+; * - Eigen::Matrix<*,-1,+,*,*,*>

+; * - Eigen::Matrix<*,+,+,*,*,*>

+; *

+; * Matrices are displayed properly independantly of the memory

+; * alignment (RowMajor vs. ColMajor).

+; *

+; * This file is distributed WITHOUT ANY WARRANTY. Please ensure

+; * that your original autoexp.dat file is copied to a safe 

+; * place before proceeding with its modification.

+; ***************************************************************

+

+[Visualizer]

+

+; Fixed size 4-vectors

+Eigen::Matrix<*,4,1,*,*,*>|Eigen::Matrix<*,1,4,*,*,*>{

+   children

+   (

+      #(

+        [internals]: [$c,!],

+         x : ($c.m_storage.m_data.array)[0],

+         y : ($c.m_storage.m_data.array)[1],

+         z : ($c.m_storage.m_data.array)[2],

+         w : ($c.m_storage.m_data.array)[3]

+      )

+   )

+

+   preview

+   (

+      #(

+        "[",

+        4,

+        "](",

+        #array(expr: $e.m_storage.m_data.array[$i], size: 4),

+        ")"

+      )

+   )

+}

+

+; Fixed size 3-vectors

+Eigen::Matrix<*,3,1,*,*,*>|Eigen::Matrix<*,1,3,*,*,*>{

+   children

+   (

+      #(

+        [internals]: [$c,!],

+         x : ($c.m_storage.m_data.array)[0],

+         y : ($c.m_storage.m_data.array)[1],

+         z : ($c.m_storage.m_data.array)[2]

+      )

+   )

+

+   preview

+   (

+      #(

+        "[",

+        3,

+        "](",

+        #array(expr: $e.m_storage.m_data.array[$i], size: 3),

+        ")"

+      )

+   )

+}

+

+; Fixed size 2-vectors

+Eigen::Matrix<*,2,1,*,*,*>|Eigen::Matrix<*,1,2,*,*,*>{

+   children

+   (

+      #(

+        [internals]: [$c,!],

+         x : ($c.m_storage.m_data.array)[0],

+         y : ($c.m_storage.m_data.array)[1]

+      )

+   )

+

+   preview

+   (

+      #(

+        "[",

+        2,

+        "](",

+        #array(expr: $e.m_storage.m_data.array[$i], size: 2),

+        ")"

+      )

+   )

+}

+

+; Fixed size 1-vectors

+Eigen::Matrix<*,1,1,*,*,*>|Eigen::Matrix<*,1,1,*,*,*>{

+   children

+   (

+      #(

+        [internals]: [$c,!],

+         x : ($c.m_storage.m_data.array)[0]

+      )

+   )

+

+   preview

+   (

+      #(

+        "[",

+        1,

+        "](",

+        #array(expr: $e.m_storage.m_data.array[$i], size: 1),

+        ")"

+      )

+   )

+}

+

+; Dynamic matrices (ColMajor and RowMajor support)

+Eigen::Matrix<*,-1,-1,*,*,*>{

+  children

+   (

+      #(

+         [internals]: [$c,!],

+         rows: $c.m_storage.m_rows,

+         cols: $c.m_storage.m_cols,

+         ; Check for RowMajorBit

+         #if ($c.Flags & 0x1) (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[($i % $c.m_storage.m_rows)*$c.m_storage.m_cols + (($i- $i % $c.m_storage.m_rows)/$c.m_storage.m_rows)], 

+                size: ($r==1)*$c.m_storage.m_rows+($r==0)*$c.m_storage.m_cols

+             )

+         ) #else (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[$i],

+                size: ($r==1)*$c.m_storage.m_rows+($r==0)*$c.m_storage.m_cols

+             )

+         )

+      )

+   )

+

+   preview

+   (

+     #(

+         "[",

+           $c.m_storage.m_rows,

+         ",",

+           $c.m_storage.m_cols,

+         "](",

+           #array(

+            expr :    [($c.m_storage.m_data)[$i],g],

+            size :    $c.m_storage.m_rows*$c.m_storage.m_cols

+           ),

+         ")"

+      )

+   )

+}

+

+; Fixed rows, dynamic columns matrix (ColMajor and RowMajor support)

+Eigen::Matrix<*,*,-1,*,*,*>{

+  children

+   (

+      #(

+         [internals]: [$c,!],

+         rows: $c.RowsAtCompileTime,

+         cols: $c.m_storage.m_cols,

+         ; Check for RowMajorBit

+         #if ($c.Flags & 0x1) (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[($i % $c.RowsAtCompileTime)*$c.m_storage.m_cols + (($i- $i % $c.RowsAtCompileTime)/$c.RowsAtCompileTime)],

+                size: ($r==1)*$c.RowsAtCompileTime+($r==0)*$c.m_storage.m_cols

+             )

+         ) #else (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[$i],

+                size: ($r==1)*$c.RowsAtCompileTime+($r==0)*$c.m_storage.m_cols

+             )

+         )

+      )

+   )

+

+   preview

+   (

+     #(

+         "[",

+           $c.RowsAtCompileTime,

+         ",",

+           $c.m_storage.m_cols,

+         "](",

+           #array(

+            expr :    [($c.m_storage.m_data)[$i],g],

+            size :    $c.RowsAtCompileTime*$c.m_storage.m_cols

+           ),

+         ")"

+      )

+   )

+}

+

+; Dynamic rows, fixed columns matrix (ColMajor and RowMajor support)

+Eigen::Matrix<*,-1,*,*,*,*>{

+  children

+   (

+      #(

+         [internals]: [$c,!],

+         rows: $c.m_storage.m_rows,

+         cols: $c.ColsAtCompileTime,

+         ; Check for RowMajorBit

+         #if ($c.Flags & 0x1) (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[($i % $c.m_storage.m_rows)*$c.ColsAtCompileTime + (($i- $i % $c.m_storage.m_rows)/$c.m_storage.m_rows)], 

+                size: ($r==1)*$c.m_storage.m_rows+($r==0)*$c.ColsAtCompileTime

+             )

+         ) #else (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data)[$i],

+                size: ($r==1)*$c.m_storage.m_rows+($r==0)*$c.ColsAtCompileTime

+             )

+         )

+      )

+   )

+

+   preview

+   (

+     #(

+         "[",

+           $c.m_storage.m_rows,

+         ",",

+           $c.ColsAtCompileTime,

+         "](",

+           #array(

+            expr :    [($c.m_storage.m_data)[$i],g],

+            size :    $c.m_storage.m_rows*$c.ColsAtCompileTime

+           ),

+         ")"

+      )

+   )

+}

+

+; Fixed size matrix (ColMajor and RowMajor support)

+Eigen::Matrix<*,*,*,*,*,*>{

+  children

+   (

+      #(

+         [internals]: [$c,!],

+         rows: $c.RowsAtCompileTime,

+         cols: $c.ColsAtCompileTime,

+         ; Check for RowMajorBit

+         #if ($c.Flags & 0x1) (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data.array)[($i % $c.RowsAtCompileTime)*$c.ColsAtCompileTime + (($i- $i % $c.RowsAtCompileTime)/$c.RowsAtCompileTime)], 

+                size: ($r==1)*$c.RowsAtCompileTime+($r==0)*$c.ColsAtCompileTime

+             )

+         ) #else (

+             #array(

+                rank: 2,

+                base: 0,

+                expr: ($c.m_storage.m_data.array)[$i],

+                size: ($r==1)*$c.RowsAtCompileTime+($r==0)*$c.ColsAtCompileTime

+             )

+         )

+      )

+   )

+

+   preview

+   (

+     #(

+         "[",

+           $c.RowsAtCompileTime,

+         ",",

+           $c.ColsAtCompileTime,

+         "](",

+           #array(

+            expr :    [($c.m_storage.m_data.array)[$i],g],

+            size :    $c.RowsAtCompileTime*$c.ColsAtCompileTime

+           ),

+         ")"

+      )

+   )

+}