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+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * 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/.
+ */
+#ifndef INCLUDED_STARMATH_INC_CARET_HXX
+#define INCLUDED_STARMATH_INC_CARET_HXX
+
+#include <sal/config.h>
+
+#include "node.hxx"
+
+#include <cassert>
+#include <memory>
+#include <vector>
+
+/** Representation of caret position with an equation */
+struct SmCaretPos{
+ SmCaretPos(SmNode* selectedNode = nullptr, int iIndex = 0)
+ : pSelectedNode(selectedNode)
+ , nIndex(iIndex)
+ {
+ assert(nIndex >= 0);
+ }
+
+ /** Selected node */
+ SmNode* pSelectedNode;
+
+ /** Index (invariant: non-negative) within the selected node
+ *
+ * 0: Position in front of a node
+ * 1: Position after a node or after first char in SmTextNode
+ * n: Position after n char in SmTextNode
+ *
+ * Notice how there's special cases for SmTextNode.
+ */
+ //TODO: Special cases for SmBlankNode is needed
+ //TODO: Consider forgetting about the todo above... As it's really unpleasant.
+ int nIndex;
+
+ /** True, if this is a valid caret position */
+ bool IsValid() const { return pSelectedNode != nullptr; }
+ bool operator==(const SmCaretPos &pos) const {
+ return pos.pSelectedNode == pSelectedNode && nIndex == pos.nIndex;
+ }
+ /** Get the caret position after pNode, regardless of pNode
+ *
+ * Gets the caret position following pNode, this is SmCaretPos(pNode, 1).
+ * Unless pNode is an instance of SmTextNode, then the index is the text length.
+ */
+ static SmCaretPos GetPosAfter(SmNode* pNode) {
+ if(pNode && pNode->GetType() == SmNodeType::Text)
+ return SmCaretPos(pNode, static_cast<SmTextNode*>(pNode)->GetText().getLength());
+ return SmCaretPos(pNode, 1);
+ }
+};
+
+/** A line that represents a caret */
+class SmCaretLine{
+public:
+ SmCaretLine(long left = 0, long top = 0, long height = 0) {
+ _top = top;
+ _left = left;
+ _height = height;
+ }
+ long GetTop() const {return _top;}
+ long GetLeft() const {return _left;}
+ long GetHeight() const {return _height;}
+ long SquaredDistanceX(const SmCaretLine& line) const{
+ return (GetLeft() - line.GetLeft()) * (GetLeft() - line.GetLeft());
+ }
+ long SquaredDistanceX(const Point &pos) const{
+ return (GetLeft() - pos.X()) * (GetLeft() - pos.X());
+ }
+ long SquaredDistanceY(const SmCaretLine& line) const{
+ long d = GetTop() - line.GetTop();
+ if(d < 0)
+ d = (d * -1) - GetHeight();
+ else
+ d = d - line.GetHeight();
+ if(d < 0)
+ return 0;
+ return d * d;
+ }
+ long SquaredDistanceY(const Point &pos) const{
+ long d = GetTop() - pos.Y();
+ if(d < 0)
+ d = (d * -1) - GetHeight();
+ if(d < 0)
+ return 0;
+ return d * d;
+ }
+private:
+ long _top;
+ long _left;
+ long _height;
+};
+
+// SmCaretPosGraph
+
+/** An entry in SmCaretPosGraph */
+struct SmCaretPosGraphEntry{
+ SmCaretPosGraphEntry(SmCaretPos pos,
+ SmCaretPosGraphEntry* left,
+ SmCaretPosGraphEntry* right) {
+ CaretPos = pos;
+ Left = left;
+ Right = right;
+ }
+ /** Caret position */
+ SmCaretPos CaretPos;
+ /** Entry to the left visually */
+ SmCaretPosGraphEntry* Left;
+ /** Entry to the right visually */
+ SmCaretPosGraphEntry* Right;
+ void SetRight(SmCaretPosGraphEntry* right){
+ Right = right;
+ }
+ void SetLeft(SmCaretPosGraphEntry* left){
+ Left = left;
+ }
+};
+
+/** A graph over all caret positions
+ * @remarks Graphs can only grow, entries cannot be removed!
+ */
+class SmCaretPosGraph{
+public:
+ SmCaretPosGraph();
+
+ ~SmCaretPosGraph();
+
+ /** Add a caret position
+ * @remarks If left is NULL, they will point back to the entry.
+ */
+ SmCaretPosGraphEntry* Add(SmCaretPos pos,
+ SmCaretPosGraphEntry* left = nullptr);
+
+ std::vector<std::unique_ptr<SmCaretPosGraphEntry>>::iterator begin()
+ {
+ return mvEntries.begin();
+ }
+
+ std::vector<std::unique_ptr<SmCaretPosGraphEntry>>::iterator end()
+ {
+ return mvEntries.end();
+ }
+
+private:
+ std::vector<std::unique_ptr<SmCaretPosGraphEntry>> mvEntries;
+};
+
+/** \page visual_formula_editing Visual Formula Editing
+ * A visual formula editor allows users to easily edit formulas without having to learn and
+ * use complicated commands. A visual formula editor is a WYSIWYG editor. For OpenOffice Math
+ * this essentially means that you can click on the formula image, to get a caret, which you
+ * can move with arrow keys, and use to modify the formula by entering text, clicking buttons
+ * or using shortcuts.
+ *
+ * \subsection formula_trees Formula Trees
+ * A formula in OpenOffice Math is a tree of nodes, take for instance the formula
+ * "A + {B cdot C} over D", it looks like this
+ * \f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$. The tree for this formula
+ * looks like this:
+ *
+ * \dot
+ * digraph {
+ * labelloc = "t";
+ * label= "Equation: \"A + {B cdot C} over D\"";
+ * size = "9,9";
+ * n0 [label="SmTableNode (1)"];
+ * n0 -> n1 [label="0"];
+ * n1 [label="SmLineNode (2)"];
+ * n1 -> n2 [label="0"];
+ * n2 [label="SmExpressionNode (3)"];
+ * n2 -> n3 [label="0"];
+ * n3 [label="SmBinHorNode (4)"];
+ * n3 -> n4 [label="0"];
+ * n4 [label="SmTextNode: A (5)"];
+ * n3 -> n5 [label="1"];
+ * n5 [label="SmMathSymbolNode: + (6)"];
+ * n3 -> n6 [label="2"];
+ * n6 [label="SmBinVerNode (7)"];
+ * n6 -> n7 [label="0"];
+ * n7 [label="SmExpressionNode (8)"];
+ * n7 -> n8 [label="0"];
+ * n8 [label="SmBinHorNode (9)"];
+ * n8 -> n9 [label="0"];
+ * n9 [label="SmTextNode: B (10)"];
+ * n8 -> n10 [label="1"];
+ * n10 [label="SmMathSymbolNode: &#183; (11)"];
+ * n8 -> n11 [label="2"];
+ * n11 [label="SmTextNode: C (12)"];
+ * n6 -> n12 [label="1"];
+ * n12 [label="SmRectangleNode (13)"];
+ * n6 -> n13 [label="2"];
+ * n13 [label="SmTextNode: D (14)"];
+ * }
+ * \enddot
+ *
+ * The vertices are nodes, their label says what kind of node and the number in parentheses is
+ * the identifier of the node (In practices a pointer is used instead of the id). The direction
+ * of the edges tells which node is parent and which is child. The label of the edges are the
+ * child node index number, given to SmNode::GetSubNode() of the parent to get the child node.
+ *
+ *
+ * \subsection visual_lines Visual Lines
+ *
+ * Inorder to do caret movement in visual lines, we need a definition of caret position and
+ * visual line. In a tree such as the above there are three visual lines. There's the outer most
+ * line, with entries such as
+ * \f$\mbox{A}\f$, \f$ + \f$ and \f$ \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$. Then there's
+ * the numerator line of the fraction it has entries \f$ \mbox{B} \f$, \f$ \cdot \f$ and \f$ \mbox{C} \f$.
+ * And last by not least there's the denominator line of the fraction it's only entry is \f$ \mbox{D} \f$.
+ *
+ * For visual editing it should be possible to place a caret on both sides of any line entry,
+ * consider a line entry a character or construction that in a line is treated as a character.
+ * Imagine the caret is placed to the right of the plus sign (id: 6), now if user presses
+ * backspace this should delete the plus sign (id: 6), and if the user presses delete this
+ * should delete the entire fraction (id: 7). This is because the caret is in the outer most
+ * line where the fraction is considered a line entry.
+ *
+ * However, inorder to prevent users from accidentally deleting large subtrees, just because
+ * they logically placed there caret a in the wrong line, require that complex constructions
+ * such as a fraction is selected before it is deleted. Thus in this case it wouldn't be
+ * deleted, but only selected and then deleted if the user hit delete again. Anyway, this is
+ * slightly off topic for now.
+ *
+ * Important about visual lines is that they don't always have an SmExpressionNode as root
+ * and the entries in a visual line is all the nodes of a subtree ordered left to right that
+ * isn't either an SmExpressionNode, SmBinHorNode or SmUnHorNode.
+ *
+ *
+ * \subsection caret_positions Caret Positions
+ *
+ * A caret position in OpenOffice Math is represented by an instance of SmCaretPos.
+ * That is a caret position is a node and an index related to this node. For most nodes the
+ * index 0, means caret is in front of this node, the index 1 means caret is after this node.
+ * For SmTextNode the index is the caret position after the specified number of characters,
+ * imagine an SmTextNode with the number 1337. The index 3 in such SmTextNode would mean a
+ * caret placed right before 7, e.g. "133|7".
+ *
+ * For SmExpressionNode, SmBinHorNode and SmUnHorNode the only legal index is 0, which means
+ * in front of the node. Actually the index 0 may only because for the first caret position
+ * in a visual line. From the example above, consider the following subtree that constitutes
+ * a visual line:
+ *
+ * \dot
+ * digraph {
+ * labelloc = "t";
+ * label= "Subtree that constitutes a visual line";
+ * size = "7,5";
+ * n7 [label="SmExpressionNode (8)"];
+ * n7 -> n8 [label="0"];
+ * n8 [label="SmBinHorNode (9)"];
+ * n8 -> n9 [label="0"];
+ * n9 [label="SmTextNode: B (10)"];
+ * n8 -> n10 [label="1"];
+ * n10 [label="SmMathSymbolNode: &#183; (11)"];
+ * n8 -> n11 [label="2"];
+ * n11 [label="SmTextNode: C (12)"];
+ * }
+ * \enddot
+ * Here the caret positions are:
+ *
+ * <TABLE>
+ * <TR><TD><B>Caret position:</B></TD><TD><B>Example:</B></TD>
+ * </TR><TR>
+ * <TD>{id: 8, index: 0}</TD>
+ * <TD>\f$ \mid \mbox{C} \cdot \mbox{C} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 10, index: 1}</TD>
+ * <TD>\f$ \mbox{C} \mid \cdot \mbox{C} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 11, index: 1}</TD>
+ * <TD>\f$ \mbox{C} \cdot \mid \mbox{C} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 12, index: 1}</TD>
+ * <TD>\f$ \mbox{C} \cdot \mbox{C} \mid \f$</TD>
+ * </TR><TR>
+ * </TABLE>
+ *
+ * Where \f$ \mid \f$ is used to denote caret position.
+ *
+ * With these exceptions included in the definition the id and index: {id: 11, index: 0} does
+ * \b not constitute a caret position in the given context. Note the method
+ * SmCaretPos::IsValid() does not check if this invariant holds true, but code in SmCaret,
+ * SmSetSelectionVisitor and other places depends on this invariant to hold.
+ *
+ *
+ * \subsection caret_movement Caret Movement
+ *
+ * As the placement of caret positions depends very much on the context within which a node
+ * appears it is not trivial to find all caret positions and determine which follows which.
+ * In OpenOffice Math this is done by the SmCaretPosGraphBuildingVisitor. This visitor builds
+ * graph (an instance of SmCaretPosGraph) over the caret positions. For details on how this
+ * graph is build, and how new methods should be implemented see SmCaretPosGraphBuildingVisitor.
+ *
+ * The result of the SmCaretPosGraphBuildingVisitor is a graph over the caret positions in a
+ * formula, represented by an instance of SmCaretPosGraph. Each entry (instances of SmCaretPosGraphEntry)
+ * has a pointer to the entry to the left and right of itself. This way we can easily find
+ * the caret position to a right or left of a given caret position. Note each caret position
+ * only appears once in this graph.
+ *
+ * When searching for a caret position after a left click on the formula this map is also used.
+ * We simply iterate over all entries, uses the SmCaretPos2LineVisitor to find a line for each
+ * caret position. Then the distance from the click to the line is computed and we choose the
+ * caret position closest to the click.
+ *
+ * For up and down movement, we also iterator over all caret positions and use SmCaretPos2LineVisitor
+ * to find a line for each caret position. Then we compute the distance from the current
+ * caret position to every other caret position and chooses the one closest that is either
+ * above or below the current caret position, depending on whether we're doing up or down movement.
+ *
+ * This result of this approach to caret movement is that we have logically predictable
+ * movement for left and right, whilst leftclick, up and down movement depends on the sizes
+ * and placement of all node and may be less logically predictable. This solution also means
+ * that we only have one complex visitor generating the graph, imagine the nightmare if we
+ * had a visitor for movement in each direction.
+ *
+ * Making up and down movement independent of node sizes and placement wouldn't necessarily
+ * be a good thing either. Consider the formula \f$ \frac{1+2+3+4+5}{6} \f$, if the caret is
+ * placed as displayed here: \f$ \frac{1+2+3+4+5}{6 \mid} \f$, up movement should move to right
+ * after "3": \f$ \frac{1+2+3|+4+5}{6} \f$. However, such a move depends on the sizes and placement
+ * of all nodes in the fraction.
+ *
+ *
+ * \subsubsection caretpos_graph_example Example of Caret Position Graph
+ *
+ * If we consider the formula
+ * \f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$ from \ref formula_trees.
+ * It has the following caret positions:
+ *
+ * <TABLE>
+ * <TR>
+ * <TD><B>Caret position:</B></TD>
+ * <TD><B>Example:</B></TD>
+ * </TR><TR>
+ * <TD>{id: 3, index: 0}</TD>
+ * <TD>\f$ \mid\mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 5, index: 1}</TD>
+ * <TD>\f$ \mbox{A}\mid + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 6, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \mid \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 8, index: 0}</TD>
+ * <TD>\f$ \mbox{A} + \frac{ \mid \mbox{B} \cdot \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 10, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \mid \cdot \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 11, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \cdot \mid \mbox{C}}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 12, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C} \mid}{\mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 14, index: 0}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mid \mbox{D}} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 14, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D} \mid} \f$</TD>
+ * </TR><TR>
+ * <TD>{id: 7, index: 1}</TD>
+ * <TD>\f$ \mbox{A} + \frac{\mbox{B} \cdot \mbox{C}}{\mbox{D}} \mid \f$</TD>
+ * </TR>
+ * </TABLE>
+ *
+ * Below is a directed graph over the caret positions and how you can move between them.
+ * \dot
+ * digraph {
+ * labelloc = "t";
+ * label= "Caret Position Graph";
+ * size = "4,6";
+ * p0 [label = "{id: 3, index: 0}"];
+ * p0 -> p1 [fontsize = 10.0, label = "right"];
+ * p1 [label = "{id: 5, index: 1}"];
+ * p1 -> p0 [fontsize = 10.0, label = "left"];
+ * p1 -> p2 [fontsize = 10.0, label = "right"];
+ * p2 [label = "{id: 6, index: 1}"];
+ * p2 -> p1 [fontsize = 10.0, label = "left"];
+ * p2 -> p3 [fontsize = 10.0, label = "right"];
+ * p3 [label = "{id: 8, index: 0}"];
+ * p3 -> p2 [fontsize = 10.0, label = "left"];
+ * p3 -> p4 [fontsize = 10.0, label = "right"];
+ * p4 [label = "{id: 10, index: 1}"];
+ * p4 -> p3 [fontsize = 10.0, label = "left"];
+ * p4 -> p5 [fontsize = 10.0, label = "right"];
+ * p5 [label = "{id: 11, index: 1}"];
+ * p5 -> p4 [fontsize = 10.0, label = "left"];
+ * p5 -> p6 [fontsize = 10.0, label = "right"];
+ * p6 [label = "{id: 12, index: 1}"];
+ * p6 -> p5 [fontsize = 10.0, label = "left"];
+ * p6 -> p9 [fontsize = 10.0, label = "right"];
+ * p7 [label = "{id: 14, index: 0}"];
+ * p7 -> p2 [fontsize = 10.0, label = "left"];
+ * p7 -> p8 [fontsize = 10.0, label = "right"];
+ * p8 [label = "{id: 14, index: 1}"];
+ * p8 -> p7 [fontsize = 10.0, label = "left"];
+ * p8 -> p9 [fontsize = 10.0, label = "right"];
+ * p9 [label = "{id: 7, index: 1}"];
+ * p9 -> p6 [fontsize = 10.0, label = "left"];
+ * }
+ * \enddot
+ */
+
+/* TODO: Write documentation about the following keywords:
+ *
+ * Visual Selections:
+ * - Show images
+ * - Talk about how the visitor does this
+ *
+ * Modifying a Visual Line:
+ * - Find top most non-compo of the line (e.g. The subtree that constitutes a line)
+ * - Make the line into a list
+ * - Edit the list, add/remove/modify nodes
+ * - Parse the list back into a subtree
+ * - Insert the new subtree where the old was taken
+ */
+
+#endif // INCLUDED_STARMATH_INC_CARET_HXX
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */