public static void GMFrac(MathNode node, XElement output)
{
DrawBox(node, output);
if (node.GetProperty("bevelled") == "true")
{
DrawTranslatedNode(node.Enumerator, output, 0, node.Enumerator.Height - node.Height);
DrawTranslatedNode(node.Denominator, output, node.Width - node.Denominator.Width, node.Depth - node.Denominator.Depth);
}
else
{
double enumalign = GetAlign(node, "enumalign");
double denomalign = GetAlign(node, "denomalign");
DrawTranslatedNode(node.Enumerator, output, node.RuleWidth + (node.Width - 2 * node.RuleWidth - node.Enumerator.Width) * enumalign, node.Enumerator.Height - node.Height);
DrawTranslatedNode(node.Denominator, output, node.RuleWidth + (node.Width - 2 * node.RuleWidth - node.Denominator.Width) * denomalign, node.Depth - node.Denominator.Depth);
}
//Draw fraction line
double eh; double dh; double ruleX; double ruleY;
double x1; double x2; double y1; double y2;
if (node.GetProperty("bevelled") == "true")
{
eh = node.Enumerator.Height + node.Enumerator.Depth;
dh = node.Denominator.Height + node.Denominator.Depth;
// Determine a point lying on the rule
ruleX = (node.Width + node.Enumerator.Width - node.Denominator.Width) / 2.0;
if (eh < dh)
{
ruleY = 0.75 * eh - node.Height;
}
else
{
ruleY = node.Depth - 0.75 * dh;
}
x1 = Math.Max(0, ruleX - (node.Depth - ruleY) / node.Slope);
x2 = Math.Min(node.Width, ruleX + (ruleY + node.Height) / node.Slope);
y1 = Math.Min(node.Depth, ruleY + ruleX * node.Slope);
y2 = Math.Max(-node.Height, ruleY - (node.Width - ruleX) * node.Slope);
}
else
{
x1 = 0;
y1 = 0;
x2 = node.Width;
y2 = 0;
}
DrawLine(output, node.Color, node.RuleWidth, x1, y1, x2, y2, new Dictionary <string, string>()
{
{ "stroke-linecap", "butt" }
});
}
public static double GetAlign(MathNode node, string attrName)
{
string attrValue = node.GetProperty(attrName, "center");
if (alignKeywords.ContainsKey(attrValue))
{
return(alignKeywords[attrValue]);
}
else
{
return(0.5);
//ToDO: node.error("Bad value %s for %s", attrValue, attrName)
}
}
public static void MakeLimitContext(MathNode node, MathNode child, string accentProperty)
{
child.DisplayStyle = false;
child.TightSpaces = true;
string accentValue = node.GetProperty(accentProperty);
if (accentValue == null)
{
accentValue = GetAccentValue(child);
}
child.Accent = (accentValue == "true");
if (!child.Accent)
{
child.ScriptLevel += 1;
}
}
public static void CMo(MathNode node)
{
// Apply special formatting to operators
OperatorStyle extraStyle = node.Config.OperatorStyles.FirstOrDefault(x => x.OpName == node.Text);//.Styling;
if (extraStyle != null)
{
node.Attributes.AddRange(extraStyle.Styling); //ToDo: verify
}
// Consult the operator dictionary, and set the appropriate defaults
string form = "infix";
if (node.Parent == null)
{
// pass
}
else if (new List <string>()
{
"mrow", "mstyle", "msqrt", "merror", "mpadded", "mphantom", "menclose", "mtd", "math"
}.Any(x => x == node.Parent.ElementName))
{
//ToDo: verify
List <MathNode> prevSiblings = node.Parent.Children.TakeWhile((value, i) => i != node.NodeIndex).Where(IsNonSpaceNode).ToList();
List <MathNode> nextSiblings = node.Parent.Children.Skip(node.NodeIndex + 1).Where(IsNonSpaceNode).ToList();
if (prevSiblings.Count == 0 && nextSiblings.Count > 0)
{
form = "prefix";
}
if (nextSiblings.Count == 0 && prevSiblings.Count > 0)
{
form = "postfix";
}
}
if (node.Attributes.ContainsKey("form"))
{
form = node.Attributes["form"];
}
node.OpDefaults = node.Config.MathOperators.LookUp(node.Text, form);
DefaultContext(node);
string stretchyattr = node.GetProperty("stretchy", node.OpDefaults.Dict()["stretchy"]);
node.Stretchy = (stretchyattr == "true");
string symmetricattr = node.GetProperty("symmetric", node.OpDefaults.Dict()["symmetric"]);
node.Symmetric = (symmetricattr == "true");
node.Scaling = node.OpDefaults.Dict()["scaling"];
if (!node.TightSpaces)
{
string lspaceattr = node.GetProperty("lspace", node.OpDefaults.Dict()["lspace"]);
node.LeftSpace = node.ParseSpace(lspaceattr);
string rspaceattr = node.GetProperty("rspace", node.OpDefaults.Dict()["rspace"]);
node.RightSpace = node.ParseSpace(rspaceattr);
}
if (node.DisplayStyle)
{
string value = node.OpDefaults.Dict()["largeop"];
if (node.GetProperty("largeop", value) == "true")
{
node.FontSize *= 1.41;
}
}
else
{
string value = node.OpDefaults.Dict()["movablelimits"];
node.MoveLimits = (node.GetProperty("movablelimits", value) == "true");
}
}
public static double GetAlign(MathNode node, string attrName)
{
string attrValue = node.GetProperty(attrName, "center");
if (alignKeywords.ContainsKey(attrValue))
{
return alignKeywords[attrValue];
}
else
{
return 0.5;
//ToDO: node.error("Bad value %s for %s", attrValue, attrName)
}
}
public static void CMTable(MathNode node)
{
DefaultContext(node);
// Display style: no inheritance, default is 'false' unless redefined in 'mstyle'
node.DisplayStyle = (node.GetProperty("displaystyle") == "true");
}
public static void MakeLimitContext(MathNode node, MathNode child, string accentProperty)
{
child.DisplayStyle = false;
child.TightSpaces = true;
string accentValue = node.GetProperty(accentProperty);
if (accentValue == null)
accentValue = GetAccentValue(child);
child.Accent = (accentValue == "true");
if (!child.Accent)
child.ScriptLevel += 1;
}
public static void GMFrac(MathNode node, XElement output)
{
DrawBox(node, output);
if (node.GetProperty("bevelled") == "true")
{
DrawTranslatedNode(node.Enumerator, output, 0, node.Enumerator.Height - node.Height);
DrawTranslatedNode(node.Denominator, output, node.Width - node.Denominator.Width, node.Depth - node.Denominator.Depth);
}
else
{
double enumalign = GetAlign(node, "enumalign");
double denomalign = GetAlign(node, "denomalign");
DrawTranslatedNode(node.Enumerator, output, node.RuleWidth + (node.Width - 2 * node.RuleWidth - node.Enumerator.Width) * enumalign, node.Enumerator.Height - node.Height);
DrawTranslatedNode(node.Denominator, output, node.RuleWidth + (node.Width - 2 * node.RuleWidth - node.Denominator.Width) * denomalign, node.Depth - node.Denominator.Depth);
}
//Draw fraction line
double eh; double dh; double ruleX; double ruleY;
double x1; double x2; double y1; double y2;
if (node.GetProperty("bevelled") == "true")
{
eh = node.Enumerator.Height + node.Enumerator.Depth;
dh = node.Denominator.Height + node.Denominator.Depth;
// Determine a point lying on the rule
ruleX = (node.Width + node.Enumerator.Width - node.Denominator.Width) / 2.0;
if (eh < dh)
ruleY = 0.75 * eh - node.Height;
else
ruleY = node.Depth - 0.75 * dh;
x1 = Math.Max(0, ruleX - (node.Depth - ruleY) / node.Slope);
x2 = Math.Min(node.Width, ruleX + (ruleY + node.Height) / node.Slope);
y1 = Math.Min(node.Depth, ruleY + ruleX * node.Slope);
y2 = Math.Max(-node.Height, ruleY - (node.Width - ruleX) * node.Slope);
}
else
{
x1 = 0;
y1 = 0;
x2 = node.Width;
y2 = 0;
}
DrawLine(output, node.Color, node.RuleWidth, x1, y1, x2, y2, new Dictionary<string, string>() { { "stroke-linecap", "butt" } });
}
public static void CMTable(MathNode node)
{
DefaultContext(node);
// Display style: no inheritance, default is 'false' unless redefined in 'mstyle'
node.DisplayStyle = (node.GetProperty("displaystyle") == "true");
}
public static void CMo(MathNode node)
{
// Apply special formatting to operators
OperatorStyle extraStyle = node.Config.OperatorStyles.Where(x => x.OpName == node.Text).FirstOrDefault();//.Styling;
if (extraStyle != null)
{
node.Attributes.AddRange(extraStyle.Styling); //ToDo: verify
}
// Consult the operator dictionary, and set the appropriate defaults
string form = "infix";
if (node.Parent == null)
{
// pass
}
else if (new List<string>() { "mrow", "mstyle", "msqrt", "merror", "mpadded", "mphantom", "menclose", "mtd", "math" }.Any(x => x == node.Parent.ElementName))
{
//ToDo: verify
List<MathNode> prevSiblings = node.Parent.Children.TakeWhile((value, i) => i != node.NodeIndex).Where(x=> IsNonSpaceNode(x)).ToList();
List<MathNode> nextSiblings = node.Parent.Children.Skip(node.NodeIndex+1).Where(x => IsNonSpaceNode(x)).ToList();
if (prevSiblings.Count == 0 && nextSiblings.Count > 0)
form = "prefix";
if (nextSiblings.Count == 0 && prevSiblings.Count > 0)
form = "postfix";
}
if (node.Attributes.ContainsKey("form"))
form = node.Attributes["form"];
node.OpDefaults = node.Config.MathOperators.LookUp(node.Text, form);
DefaultContext(node);
string stretchyattr = node.GetProperty("stretchy", node.OpDefaults.Dict()["stretchy"]);
node.Stretchy = (stretchyattr == "true");
string symmetricattr = node.GetProperty("symmetric", node.OpDefaults.Dict()["symmetric"]);
node.Symmetric = (symmetricattr == "true");
node.Scaling = node.OpDefaults.Dict()["scaling"];
if (!node.TightSpaces)
{
string lspaceattr = node.GetProperty("lspace", node.OpDefaults.Dict()["lspace"]);
node.LeftSpace = node.ParseSpace(lspaceattr);
string rspaceattr = node.GetProperty("rspace", node.OpDefaults.Dict()["rspace"]);
node.RightSpace = node.ParseSpace(rspaceattr);
}
if (node.DisplayStyle)
{
string value = node.OpDefaults.Dict()["largeop"];
if (node.GetProperty("largeop", value) == "true")
node.FontSize *= 1.41;
}
else
{
string value = node.OpDefaults.Dict()["movablelimits"];
node.MoveLimits = (node.GetProperty("movablelimits", value) == "true");
}
}
private void Stretch(MathNode node, double? toWidth, double? toHeight, double? toDepth, bool symmetric=false)
{
if (node == null || !node.Core.Stretchy)
return;
if (node != node.Base)
{
if (toWidth != null)
toWidth -= node.Width - node.Base.Width;
Stretch(node.Base, toWidth, toHeight, toDepth, symmetric);
node.MeasureNode();
}
else if (node.ElementName == "mo")
{
if (node.FontSize == 0)
return;
string maxsizedefault = node.OpDefaults.MaxSize;//["maxsize"];
string maxsizeattr = node.GetProperty("maxsize", maxsizedefault);
double? maxScale;
if (maxsizeattr == "infinity")
{
maxScale = null; //Todo: might be invalid. Check original code
}
else
{
maxScale = node.ParseSpaceOrPercent(maxsizeattr, node.FontSize, node.FontSize) / node.FontSize;
}
string minsizedefault = node.OpDefaults.MinSize;
string minsizeattr = node.GetProperty("minsize", minsizedefault);
double minScale = node.ParseSpaceOrPercent(minsizeattr, node.FontSize, node.FontSize) / node.FontSize;
if (toWidth == null)
{
StretchVertically(node, (double)toHeight, (double)toDepth, minScale, maxScale, symmetric);
}
else
{
StretchHorizontally(node, (double)toWidth, minScale, maxScale);
}
}
}
object[] GetAlign(MathNode node)
{
string alignattr = node.GetProperty("align").Trim();
if (alignattr.Length == 0)
alignattr = MathDefaults.globalDefaults["align"];
List<string> splitalign = alignattr.Split(null).ToList();
string aligntype = splitalign[0];
int? alignRow = null;
if (splitalign.Count != 1)
{
alignRow = int.Parse(splitalign[1]);
// ToDo: the rest of the python code is not valid. Not implemented here.
}
return new object[] { aligntype, alignRow };
}
void CalculateRowHeights(MathNode node)
{
//Set initial row heights for cells with rowspan == 1
double commonAxis = node.Axis();
foreach(RowDescriptor r in node.Rows)
{
r.Height = 0;
r.Depth = 0;
foreach (CellDescriptor c in r.Cells)
{
if (c == null || c.Content == null || c.RowSpan != 1)
continue;
double cellAxis = c.Content.Axis();
c.VShift = 0;
if (c.VAlign == "baseline")
{
if (r.AlignToAxis == true)
c.VShift -= commonAxis;
if (c.Content.AlignToAxis == true)
c.VShift += cellAxis;
}
else if (c.VAlign == "axis")
{
if (!r.AlignToAxis)
c.VShift += commonAxis;
if (!c.Content.AlignToAxis)
c.VShift -= cellAxis;
}
else
{
c.VShift = (r.Height - r.Depth - c.Content.Height + c.Content.Depth) / 2;
}
r.Height = Math.Max(r.Height, c.Content.Height + c.VShift);
r.Depth = Math.Max(r.Depth, c.Content.Depth - c.VShift);
}
}
// Calculate heights for cells with rowspan > 1
while (true)
{
List<RowDescriptor> adjustedRows = new List<RowDescriptor>();
double adjustedSize = 0;
foreach (var item in node.Rows.Select((value,i) => new {i, value}))
{
RowDescriptor r = item.value;
foreach (CellDescriptor c in r.Cells)
{
if (c == null || c.Content == null || c.RowSpan == 1)
continue;
List<RowDescriptor> rows = node.Rows.Skip(item.i).Take(item.i + c.RowSpan).ToList();
double requiredSize = c.Content.Height + c.Content.Depth;
requiredSize -= rows.Where((value, i) => i < rows.Count).Select(x=> x.SpaceAfter).Sum();
double fullSize = rows.Select(x=> x.Height+x.Depth).Sum();
if (fullSize >= requiredSize)
continue;
double unitSize = requiredSize / rows.Count;
while (true)
{
List<RowDescriptor> oversizedRows = rows.Where(x => x.Height + x.Depth > unitSize).ToList(); //ToDo: Verify
if (oversizedRows.Count == 0)
break;
rows = rows.Where(x => x.Height + x.Depth < unitSize).ToList();
if (rows.Count == 0)
break; // weird rounding effects
requiredSize -= oversizedRows.Select(x => x.Height + x.Depth).Sum();
unitSize = requiredSize / rows.Count;
}
if (rows.Count == 0)
continue; // protection against arithmetic overflow
if (unitSize > adjustedSize)
{
adjustedSize = unitSize;
adjustedRows = rows;
}
}
}
if (adjustedRows.Count == 0)
break;
foreach (RowDescriptor r in adjustedRows)
{
double delta = (adjustedSize - r.Height - r.Depth) / 2;
r.Height += delta;
r.Depth += delta;
}
}
if (node.GetProperty("equalrows") == "true")
{
double maxvsize = node.Rows.Select(x => x.Height + x.Depth).Max();
foreach (RowDescriptor r in node.Rows)
{
double delta = (maxvsize - r.Height - r.Depth) / 2;
r.Height += delta;
r.Depth += delta;
}
}
}
void CalculateColumnWidths(MathNode node)
{
// Get total width
string fullwidthattr = "auto";
if (node.Attributes.ContainsKey("width"))
fullwidthattr = node.Attributes["width"];
double? fullwidth;
if (fullwidthattr == "auto")
{
fullwidth = null;
}
else
{
fullwidth = node.ParseLength(fullwidthattr);
if (fullwidth <= 0)
fullwidth = null;
}
// Fill fixed column widths
List<string> columnwidths = node.GetListProperty("columnwidth");
foreach (var item in node.Columns.Select((value,i) => new {i, value}))
{
ColumnDescriptor column = item.value;
string attr = GetByIndexOrLast(columnwidths, item.i);
if (attr == "auto" || attr == "fit")
{
column.Fit = (attr == "fit");
}
else if (attr.EndsWith("%"))
{
if (fullwidth == null)
{
//ToDo: node.error("Percents in column widths supported only in tables with explicit width; width of column %d treated as 'auto'" % (i+1))
}
else
{
double value = 0.0;
bool result = double.TryParse(attr.Substring(0, attr.Length - 1), out value);
if (result && value > 0)
{
column.Width = (double)fullwidth * value / 100;
column.Auto = false;
}
}
}
else
{
column.Width = node.ParseSpace(attr);
column.Auto = true;
}
}
// Set initial auto widths for cells with colspan == 1
foreach (RowDescriptor r in node.Rows)
{
foreach (var item in r.Cells.Select((value, i)=> new {i, value}))
{
CellDescriptor c = item.value;
if (c == null || c.Content == null || c.ColSpan > 1)
continue;
ColumnDescriptor column = node.Columns[item.i];
if (column.Auto)
column.Width = Math.Max(column.Width, c.Content.Width);
}
}
// Calculate auto widths for cells with colspan > 1
while (true)
{
List<ColumnDescriptor> adjustedColumns = new List<ColumnDescriptor>();
double adjustedWidth = 0;
foreach (RowDescriptor r in node.Rows)
{
foreach (var item in r.Cells.Select((value,i) => new {i, value}))
{
CellDescriptor c = item.value;
if (c == null || c.Content == null || c.ColSpan == 1)
continue;
List<ColumnDescriptor> columns = node.Columns.Skip(item.i).Take(item.i + c.ColSpan).ToList(); //ToDo: Verify
List<ColumnDescriptor> autoColumns = columns.Where(x => x.Auto == true).ToList();
if (autoColumns.Count == 0)
continue;
List<ColumnDescriptor> fixedColumns = columns.Where(x=> x.Auto == false).ToList();
double fixedWidth = columns.TakeWhile((value, i) => i != columns.Count-1).Select(x=> x.SpaceAfter).Sum();
if (fixedColumns.Count > 0)
fixedWidth += fixedColumns.Select(x => x.Width).Sum(); //ToDo: Verify
double autoWidth = autoColumns.Select(x => x.Width).Sum(); //ToDo: Verify
if (c.Content.Width <= fixedWidth + autoWidth)
continue; // already fits
double requiredWidth = c.Content.Width - fixedWidth;
double unitWidth = requiredWidth / autoColumns.Count;
while (true)
{
List<ColumnDescriptor> oversizedColumns = autoColumns.Where(x=> x.Width >= unitWidth).ToList();
if (oversizedColumns.Count == 0)
break;
autoColumns = autoColumns.Where(x => x.Width < unitWidth).ToList();
if (autoColumns.Count == 0)
break; //weird rounding effects
requiredWidth -= oversizedColumns.Select(x => x.Width).Sum();
unitWidth = requiredWidth / autoColumns.Count;
if (autoColumns.Count == 0)
continue; //protection against arithmetic overflow
//Store the maximum unit width
if (unitWidth > adjustedWidth)
{
adjustedWidth = unitWidth;
adjustedColumns = autoColumns;
}
}
}
}
if (adjustedColumns.Count == 0)
break;
foreach (ColumnDescriptor col in adjustedColumns)
col.Width = adjustedWidth;
}
if (node.GetProperty("equalcolumns") == "true")
{
double globalWidth = node.Columns.Where(x => x.Auto = true).Select(x => x.Width).Max();
foreach (ColumnDescriptor col in node.Columns)
{
if (col.Auto == true)
col.Width = globalWidth;
}
}
if (fullwidth != null)
{
double delta = (double)fullwidth;
delta -= node.Columns.Select(x => x.Width).Sum();
delta -= node.Columns.TakeWhile((x, i) => i < node.Columns.Count - 1).Select(x => x.SpaceAfter).Sum(); //ToDo: verify
delta -= 2 * node.FrameSpacings[0];
if (delta != 0)
{
List<ColumnDescriptor> sizableColumns = node.Columns.Where(x => x.Fit == true).ToList();
if (sizableColumns.Count == 0)
sizableColumns = node.Columns.Where(x => x.Auto == true).ToList();
if (sizableColumns.Count == 0)
{
//ToDo: Implement
//node.error("Overconstrained table layout: explicit table width specified, but no column has automatic width; table width attribute ignored")
}
else
{
delta /= sizableColumns.Count;
foreach (ColumnDescriptor col in sizableColumns)
col.Width += delta;
}
}
}
}
private void MeasureScripts(MathNode node, List<MathNode> subscripts, List<MathNode> superscripts, List<MathNode> presubscripts = null, List<MathNode> presuperscripts = null)
{
node.SubScripts = subscripts == null ? new List<MathNode>() : subscripts;
node.SuperScripts = superscripts == null ? new List<MathNode>() : superscripts;
node.PreSubScripts = presubscripts == null ? new List<MathNode>() : presubscripts;
node.PreSuperScripts = presuperscripts == null ? new List<MathNode>() : presuperscripts;
SetNodeBase(node, node.Children[0]);
node.Width = node.Base.Width;
node.Height = node.Base.Height;
node.Depth = node.Base.Depth;
node.Ascender = node.Base.Ascender;
node.Descender = node.Base.Descender;
List<MathNode> both_subs = new List<MathNode>(node.SubScripts);
both_subs.AddRange(node.PreSubScripts);
List<MathNode> both_sups = new List<MathNode>(node.SuperScripts);
both_sups.AddRange(node.PreSuperScripts);
node.SubScriptAxis = both_subs.Select(x => x.Axis()).Union(new List<double>() { 0 }).Max();
node.SuperScriptAxis = both_sups.Select(x => x.Axis()).Union(new List<double>() { 0 }).Max();
List<MathNode> all = new List<MathNode>(both_subs);
all.AddRange(both_sups);
double gap = all.Select(x => x.NominalLineGap()).Max(); //ToDo:Validate
double protrusion = node.ParseLength("0.25ex");
double scriptMedian = node.Axis();
double[] v = GetRowVerticalExtent(both_subs, false, node.SubScriptAxis);
double subHeight = v[0];
double subDepth = v[1];
double subAscender = v[2];
double subDescender = v[3];
v = GetRowVerticalExtent(both_sups, false, node.SuperScriptAxis);
double superHeight = v[0];
double superDepth = v[1];
double superAscender = v[2];
double superDescender = v[3];
node.SubShift = 0;
if (both_subs.Count > 0)
{
string shiftAttr = node.GetProperty("subscriptshift");
if (shiftAttr == null)
shiftAttr = "0.5ex";
node.SubShift = node.ParseLength(shiftAttr); // positive shifts down
node.SubShift = Math.Max(node.SubShift, subHeight - scriptMedian + gap);
if (node.AlignToAxis)
node.SubShift += node.Axis();
node.SubShift = Math.Max(node.SubShift, node.Base.Depth + protrusion - subDepth);
node.Height = Math.Max(node.Height, subHeight - node.SubShift);
node.Depth = Math.Max(node.Depth, subDepth + node.SubShift);
node.Ascender = Math.Max(node.Ascender, subAscender - node.SubShift);
node.Descender = Math.Max(node.Descender, subDescender + node.SubShift);
}
node.SuperShift = 0;
if (both_sups.Count > 0)
{
string shiftAttr = node.GetProperty("superscriptshift");
if (shiftAttr == null)
shiftAttr = "1ex";
node.SuperShift = node.ParseLength(shiftAttr); // positive shifts up
node.SuperShift = Math.Max(node.SuperShift, superDepth + scriptMedian + gap);
if (node.AlignToAxis)
node.SuperShift -= node.Axis();
node.SuperShift = Math.Max(node.SuperShift, node.Base.Height + protrusion - superHeight);
node.Height = Math.Max(node.Height, superHeight + node.SuperShift);
node.Depth = Math.Max(node.Depth, superDepth - node.SuperShift);
node.Ascender = Math.Max(node.Ascender, superHeight + node.SuperShift);
node.Descender = Math.Max(node.Descender, superDepth - node.SuperShift);
}
node.PostWidths = ParallelWidths(node.SubScripts, node.SuperScripts);
node.PreWidths = ParallelWidths(node.PreSubScripts, node.PreSuperScripts);
node.Width += node.PreWidths.Sum() + node.PostWidths.Sum();
}
