DIRECTORY
MathDisplayExpr,
MathExpr,
MathBox,
MathTypes,
MathRules,
Convert USING [RopeFromAtom],
Rope USING [ROPE, Length, Find, Replace, Cat],
Imager USING [Context, black, SetColor, MaskRectangle];

MathDisplayExprImpl: CEDAR PROGRAM
IMPORTS MathBox, MathExpr, Imager, MathRules, Rope, Convert
EXPORTS MathDisplayExpr ~

BEGIN

ROPE: TYPE ~ Rope.ROPE;
BOX: TYPE ~ MathBox.BOX;
EXPR: TYPE ~ MathExpr.EXPR;
AtomEXPR: TYPE ~ MathExpr.AtomEXPR;
CompoundEXPR: TYPE ~ MathExpr.CompoundEXPR;
MatrixEXPR: TYPE ~ MathExpr.MatrixEXPR;
Style: TYPE ~ MathTypes.Style;
Argument: TYPE ~ MathExpr.Argument;
Symbol: TYPE ~ MathExpr.Symbol;
AtomClass: TYPE ~ MathExpr.AtomClass;
AtomFlavor: TYPE ~ MathExpr.AtomFlavor;
CompoundClass: TYPE ~ MathExpr.CompoundClass;
MatrixClass: TYPE ~ MathExpr.MatrixClass;

Size: TYPE ~ MathRules.Size;
Selection: TYPE ~ MathDisplayExpr.Selection;
ReplacePair: TYPE ~ MathDisplayExpr.ReplacePair;



DisplayExprRep: PUBLIC TYPE ~
RECORD [
tag: ATOM,  -- identifying tag such as $integrand
expression: DisplayObj,  -- atom or compound expr
relativeBox: BOX,  -- bounding box in relative units
absoluteBox: BOX,  -- bounding box in absolute units
iconic: BOOL _ FALSE,  -- TRUE iff expression is currently iconic
parent: DisplayExpr _ NIL  -- enclosing parent expression
];

DisplayObj: TYPE ~ REF DisplayObjRep;  
DisplayObjRep: TYPE ~ RECORD [
SELECT type:* FROM
atom => [class: AtomClass, value: ROPE],
compound => [class: CompoundClass, subExprs: LIST OF DisplayExpr _ NIL],
matrix => [
class: MatrixClass,  -- type of matrix op, e.g. matrix, vector, determinant, etc.
nRows, nCols: INT,  -- matrix size, rows x cols
elements: LIST OF DisplayExpr _ NIL,  -- matrix elements
openSym: DisplayExpr, -- left bracket
closeSym: DisplayExpr, -- right bracket
space: DisplayExpr -- inter-element spacing
]
ENDCASE
];

AtomDisplayObj: TYPE ~ REF AtomDisplayObjRep;
AtomDisplayObjRep: TYPE ~ atom DisplayObjRep;
CompoundDisplayObj: TYPE ~ REF CompoundDisplayObjRep;
CompoundDisplayObjRep: TYPE ~ compound DisplayObjRep;
MatrixDisplayObj: TYPE ~ REF MatrixDisplayObjRep;
MatrixDisplayObjRep: TYPE ~ matrix DisplayObjRep;


DisplayExpr: TYPE ~ REF DisplayExprRep;  -- inside impl module, use rep


MakeAtomicDisplayExpr: PUBLIC PROC[tag: ATOM, class: AtomClass, value: ROPE, relBox, absBox: BOX, parent: DisplayExpr _ NIL]  RETURNS[DisplayExpr] ~ {
RETURN[NEW[DisplayExprRep _ [tag: tag, relativeBox: relBox, absoluteBox: absBox, parent: parent, expression: NEW[AtomDisplayObjRep _ [atom[class: class, value: value]]]]]];
};

MakeCompoundDisplayExpr: PUBLIC PROC[tag: ATOM, class: CompoundClass, subExprs: LIST OF DisplayExpr, relBox, absBox: BOX, parent: DisplayExpr _ NIL] RETURNS[DisplayExpr] ~ {
RETURN[NEW[DisplayExprRep _ [tag: tag, relativeBox: relBox, absoluteBox: absBox, parent: parent, expression: NEW[CompoundDisplayObjRep _ [compound[class: class, subExprs: subExprs]]]]]];
};

MakeMatrixDisplayExpr: PUBLIC PROC[tag: ATOM, class: MatrixClass, nRows, nCols: INT, elements: LIST OF DisplayExpr, relBox, absBox: BOX, openSym, closeSym, space: DisplayExpr, parent: DisplayExpr _ NIL] 
RETURNS[DisplayExpr] ~ {
RETURN[NEW[DisplayExprRep _ [tag: tag, relativeBox: relBox, absoluteBox: absBox, parent: parent, expression: NEW[MatrixDisplayObjRep _ [matrix[class: class, nRows: nRows, nCols: nCols, elements: elements, openSym: openSym, closeSym: closeSym, space: space]]]]]];
};


ASRopeFromDisplayExpr: PUBLIC PROC[expr: DisplayExpr] RETURNS[ROPE] ~ {
WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
IF a.class.cvtASRope # NIL THEN {
RETURN[a.class.cvtASRope[a.value]];
}
ELSE 
RETURN[a.value];
};

c: CompoundDisplayObj => {

valueAS: ROPE _ c.class.cvtAS;  -- template for return value
argName: ROPE _ NIL;
position: INT _ -1;

IF Rope.Length[valueAS] < 1 THEN RETURN[""];

FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
argName _ Convert.RopeFromAtom[l.first.name];
position _ Rope.Find[valueAS, argName];
IF position # -1 THEN valueAS _ Rope.Replace[base: valueAS, start: position, len: Rope.Length[argName], with: ASRopeFromDisplayExpr[GetDisplayExpr[l.first.name, c.subExprs]]];
ENDLOOP; 

RETURN[valueAS];
};

m: MatrixDisplayObj => {

Element: TYPE ~ RECORD [
expr: DisplayExpr _ NIL
];

Row: TYPE ~ REF RowRec;
RowRec: TYPE ~ RECORD [
elements: SEQUENCE numberOfCols: NAT OF Element
];

Matrix: TYPE ~ REF MatrixRec;
MatrixRec: TYPE ~ RECORD[
rows: SEQUENCE numberOfRows: NAT OF Row
];

a: Matrix;
currentRow, currentCol: NAT;
result: ROPE _ NIL;  -- return value
vector: BOOL _ FALSE;  -- TRUE iff matrix class is vector


a _ NEW[MatrixRec[m.nRows]];
FOR row:INT IN [0..m.nRows) DO
a[row] _ NEW[RowRec[m.nCols]];
ENDLOOP;

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
[currentRow, currentCol] _ MathRules.RowColFromAtom[l.first.tag];
a[currentRow - 1][currentCol - 1].expr _ l.first;
ENDLOOP;

IF m.class.name = $vector THEN vector _ TRUE;
SELECT m.class.name FROM

$matrix => {
result _ "[ "; -- initialize to matrix start char
FOR r:INT IN [0..m.nRows) DO
result _ Rope.Cat[result, "[ "];  -- row start char
FOR c:INT IN [0..m.nCols) DO
result _ Rope.Cat[result, ASRopeFromDisplayExpr[a[r][c].expr]];
IF c # (m.nCols - 1) THEN result _ Rope.Cat[result, ", "];  -- col separator
ENDLOOP;
result _ Rope.Cat[result, " ]"];  -- row end char
IF r # (m.nRows - 1) THEN result _ Rope.Cat[result, ", "];  -- row separator
ENDLOOP;
result _ Rope.Cat[result, " ]"];  -- end with matrix end char
};

$vector => {
result _ "[ ";  -- begin with matrix start char

IF m.nRows = 1 THEN {
FOR c: INT IN [0..m.nCols) DO
result _ Rope.Cat[result, ASRopeFromDisplayExpr[a[0][c].expr]];
IF c # (m.nCols - 1) THEN result _ Rope.Cat[result, ", "];  -- col separator
ENDLOOP;
}
ELSE {
FOR r: INT IN [0..m.nRows) DO
result _ Rope.Cat[result, ASRopeFromDisplayExpr[a[r][0].expr]];
IF r # (m.nRows - 1) THEN result _ Rope.Cat[result, ", "];  -- row separator
ENDLOOP;
};

result _ Rope.Cat[result, " ]"];  -- end with vector end char
};

ENDCASE => {
result _ "unknownMatrixType";
};

RETURN[result];
};

ENDCASE => ERROR;

};
 

DisplayExprFromExpr: PUBLIC PROC[expr: EXPR] RETURNS[DisplayExpr] ~ {
myDisplayExpr, tempDisplayExpr: DisplayExpr;

emptyAtom: ATOM _ $expr;  -- generic identifier
emptyRelBox: BOX _ MathBox.MakeBox[emptyAtom, NIL, other, relative];
emptyAbsBox: BOX _ MathBox.MakeBox[emptyAtom, NIL, other, absolute];

SELECT expr.GetType[] FROM

atom => {
a: AtomEXPR _ expr.GetAtomExpr[];

RETURN[MakeAtomicDisplayExpr[emptyAtom, MathExpr.GetAtomClass[a], MathExpr.GetValue[a], emptyRelBox, emptyAbsBox]];
};

compound => {

c: CompoundEXPR _ expr.GetCompoundExpr[];
compClass: CompoundClass _ MathExpr.GetCompoundClass[c];


displaySubExprs: LIST OF DisplayExpr _ NIL;  -- cons up list of display expressions 

FOR l: LIST OF Argument _ compClass.arguments, l.rest UNTIL l = NIL DO
tempDisplayExpr _ DisplayExprFromExpr[MathExpr.GetTaggedExpr[l.first.name, MathExpr.GetSubExprs[c] ! exprNotFound => {ERROR unable[$missingArg]}].expression];
tempDisplayExpr.tag _ l.first.name;  -- set name tag for display expr
displaySubExprs _ CONS[tempDisplayExpr, displaySubExprs];
ENDLOOP;

FOR l: LIST OF Symbol _ compClass.symbols, l.rest UNTIL l = NIL DO
tempDisplayExpr _ DisplayExprFromExpr[MathExpr.GetTaggedExpr[l.first.name, MathExpr.GetSubExprs[c] ! exprNotFound => {ERROR unable[$missingSym]}].expression];
tempDisplayExpr.tag _ l.first.name;  -- set name tag for display expr
displaySubExprs _ CONS[tempDisplayExpr, displaySubExprs];
ENDLOOP;

myDisplayExpr _ MakeCompoundDisplayExpr[emptyAtom, MathExpr.GetCompoundClass[c], displaySubExprs, emptyRelBox, emptyAbsBox];

FOR l: LIST OF DisplayExpr _ displaySubExprs, l.rest UNTIL l = NIL DO
l.first.parent _ myDisplayExpr;  -- set parent 
ENDLOOP;

RETURN[myDisplayExpr];
};

matrix => {

m: MatrixEXPR _ expr.GetMatrixExpr[];
elts: LIST OF MathExpr.TaggedMathExpr _ MathExpr.GetMatrixElements[m];
class: MatrixClass _ MathExpr.GetMatrixClass[m];
displayElts: LIST OF DisplayExpr _ NIL;
nRows, nCols: NAT;
openSym, closeSym, space: DisplayExpr;

[nRows, nCols] _ MathExpr.GetMatrixSize[m];

FOR l: LIST OF MathExpr.TaggedMathExpr _ elts, l.rest UNTIL l = NIL DO
tempDisplayExpr _ DisplayExprFromExpr[l.first.expression];
tempDisplayExpr.tag _ l.first.id; -- set name tag for display expr
displayElts _ CONS[tempDisplayExpr, displayElts];
ENDLOOP;

openSym _ DisplayExprFromExpr[class.openSym];
closeSym _ DisplayExprFromExpr[class.closeSym];
space _ DisplayExprFromExpr[class.space];

myDisplayExpr _ MakeMatrixDisplayExpr[emptyAtom, class, nRows, nCols, displayElts, emptyRelBox, emptyAbsBox, openSym, closeSym, space];

FOR l: LIST OF DisplayExpr _ displayElts, l.rest UNTIL l = NIL DO
l.first.parent _ myDisplayExpr; -- set parent
ENDLOOP;

RETURN[myDisplayExpr];
};

ENDCASE => ERROR;
};

ExprFromDisplayExpr: PUBLIC PROC[expr: DisplayExpr] RETURNS[EXPR] ~ {
WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
RETURN[MathExpr.MakeAtomicExpr[a.class.name, a.value]];
};

c: CompoundDisplayObj => {
args: LIST OF MathExpr.TaggedMathExpr _ NIL;

FOR l: LIST OF DisplayExpr _ c.subExprs, l.rest UNTIL l = NIL DO
args _ CONS[[l.first.tag, ExprFromDisplayExpr[l.first]], args];
ENDLOOP;

RETURN[MathExpr.MakeCompoundExpr[c.class.name, args]];
};

m: MatrixDisplayObj => {
elts: LIST OF MathExpr.TaggedMathExpr;

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
elts _ CONS[[l.first.tag, ExprFromDisplayExpr[l.first]], elts];
ENDLOOP;

RETURN[MathExpr.MakeMatrixExpr[m.class.name, m.nRows, m.nCols, elts]];
};

ENDCASE => ERROR;
};



Copy: PUBLIC PROC[expr: DisplayExpr] RETURNS[DisplayExpr] ~ {
WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
RETURN[MakeAtomicDisplayExpr[expr.tag, a.class, a.value, expr.relativeBox, expr.absoluteBox]];
};

c: CompoundDisplayObj => {

exprCopy: DisplayExpr;  -- return value
copiedSubExprs: LIST OF DisplayExpr _ NIL;  -- cons up new list of copies

FOR l: LIST OF DisplayExpr _ c.subExprs, l.rest UNTIL l = NIL DO
copiedSubExprs _ CONS[Copy[l.first], copiedSubExprs];
ENDLOOP; 

exprCopy _ MakeCompoundDisplayExpr[expr.tag, c.class, copiedSubExprs, expr.relativeBox, expr.absoluteBox];
FOR l: LIST OF DisplayExpr _ copiedSubExprs, l.rest UNTIL l = NIL DO
l.first.parent _ exprCopy;  -- set parent pointers appropriately
ENDLOOP;

RETURN[exprCopy];
};

m: MatrixDisplayObj => {

exprCopy: DisplayExpr; -- return value
copiedElts: LIST OF DisplayExpr _ NIL;  -- cons up a new list of copied elements

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
copiedElts _ CONS[Copy[l.first], copiedElts];
ENDLOOP;

exprCopy _ MakeMatrixDisplayExpr[expr.tag, m.class, m.nRows, m.nCols, copiedElts, expr.relativeBox, expr.absoluteBox, Copy[m.openSym], Copy[m.closeSym], Copy[m.space]];
FOR l: LIST OF DisplayExpr _ copiedElts, l.rest UNTIL l = NIL DO
l.first.parent _ exprCopy;  -- set parent pointers appropriately
ENDLOOP;

RETURN[exprCopy];
};

ENDCASE => ERROR;
};


Tag: PUBLIC PROC[expr: DisplayExpr] RETURNS[ATOM] ~ {
RETURN[expr.tag];
};

Class: PUBLIC PROC[expr: DisplayExpr] RETURNS[ATOM] ~ {
WITH expr.expression SELECT FROM
a: AtomDisplayObj => RETURN[a.class.name];
c: CompoundDisplayObj => RETURN[c.class.name];
m: MatrixDisplayObj => RETURN[m.class.name];
ENDCASE => ERROR;
};

GetSubExprs: PUBLIC PROC[expr: DisplayExpr] RETURNS[LIST OF DisplayExpr] ~ {
WITH expr.expression SELECT FROM
a: AtomDisplayObj => RETURN[NIL];  -- atoms don't have any children
c: CompoundDisplayObj => RETURN[c.subExprs];
m: MatrixDisplayObj => RETURN[m.elements];
ENDCASE => ERROR;
};



Paint: PUBLIC PROC[expr: DisplayExpr, context: Imager.Context, absBox: BOX, 
selections: LIST OF Selection] ~ {
currentDisplayExpr: DisplayExpr;
IF absBox.Type # absolute THEN ERROR unable[$wrongBoxType];
expr.absoluteBox _ absBox;

WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
a.class.paintRule[a.value, a.class.style, context, absBox];
};

c: CompoundDisplayObj => {

FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
currentDisplayExpr _ GetDisplayExpr[l.first.name, c.subExprs ! exprNotFound => {ERROR unable[$missingArg]}];
Paint[currentDisplayExpr, context, MathBox.RelToAbsBox[currentDisplayExpr.relativeBox, absBox], selections];
ENDLOOP;

FOR l: LIST OF Symbol _ c.class.symbols, l.rest UNTIL l = NIL DO
currentDisplayExpr _ GetDisplayExpr[l.first.name, c.subExprs ! exprNotFound => {ERROR unable[$missingArg]}];
Paint[currentDisplayExpr, context, MathBox.RelToAbsBox[currentDisplayExpr.relativeBox, absBox], selections];
ENDLOOP;
};

m: MatrixDisplayObj =>  {

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
Paint[l.first, context, MathBox.RelToAbsBox[l.first.relativeBox, absBox], selections];
ENDLOOP;

Paint[m.openSym, context, MathBox.RelToAbsBox[m.openSym.relativeBox, absBox], selections];
Paint[m.closeSym, context, MathBox.RelToAbsBox[m.closeSym.relativeBox, absBox], selections];
};

ENDCASE => ERROR;

FOR l: LIST OF Selection _ selections, l.rest UNTIL l = NIL DO
IF (expr = l.first.expr) THEN {
context.SetColor[l.first.color];

Imager.MaskRectangle[context, [x: absBox.Offset[].x - (absBox.Extents[].leftExtent + 1), y: absBox.Offset[].y - (absBox.Extents[].descent + 1), w: absBox.Width[] + 1, h: absBox.Height[] + 2]];

context.SetColor[Imager.black];
};
ENDLOOP;
};


Format: PUBLIC PROC[expr: DisplayExpr, size: Size] RETURNS[BOX] ~ {
subExprBoxes: LIST OF BOX;
myBox, tempBox: BOX;

WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
RETURN[MathBox.Scale[MathBox.MakeBox[tag: a.class.name, aliases: NIL, formatClass: a.class.formatClass, type: absolute, extents: a.class.boxRule[a.value, a.class.style]], MathRules.VecFromSize[size]]];
};


c: CompoundDisplayObj => {


subExprBoxes _ NIL;  -- cons up list of subexpression boxes

FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
tempBox _ Format[GetDisplayExpr[l.first.name, c.subExprs ! exprNotFound => {ERROR unable[$missingArg]}], MathRules.ComputeSize[base: size, adjustment: l.first.size]];
subExprBoxes _ CONS[MathBox.MakeBox[l.first.name, l.first.aliases, tempBox.FormatClass[], tempBox.Type[], tempBox.Extents[], tempBox.Offset[], tempBox.SubscriptHint[], tempBox.SuperscriptHint[]], subExprBoxes];
ENDLOOP;

FOR l: LIST OF Symbol _ c.class.symbols, l.rest UNTIL l = NIL DO
tempBox _ Format[GetDisplayExpr[l.first.name, c.subExprs ! exprNotFound => {ERROR unable[$missingSym]}], MathRules.ComputeSize[base: size, adjustment: l.first.size]];
subExprBoxes _ CONS[MathBox.MakeBox[l.first.name, l.first.aliases, tempBox.FormatClass[], tempBox.Type[], tempBox.Extents[], tempBox.Offset[], tempBox.SubscriptHint[], tempBox.SuperscriptHint[]], subExprBoxes];
ENDLOOP;

subExprBoxes _ c.class.boxRule[subExprBoxes];

[myBox, subExprBoxes] _ c.class.compBox[subExprBoxes];
myBox _ MathBox.ChangeFormatClass[myBox, c.class.formatClass];

FOR l: LIST OF DisplayExpr _ c.subExprs, l.rest UNTIL l = NIL DO
IF l.first.relativeBox.Type # relative THEN ERROR unable[$wrongBoxType];
l.first.relativeBox _ MathBox.GetBox[l.first.tag, subExprBoxes ! MathBox.boxNotFound => {ERROR unable[$boxNotFound]}];  -- set box
ENDLOOP;

RETURN[myBox];
};

m: MatrixDisplayObj => {
elementBoxes: LIST OF BOX _ NIL;
tempBox, spaceBox, openSymBox, closeSymBox: BOX;

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
tempBox _ Format[l.first, MathRules.ComputeSize[base: size, adjustment: script]];
elementBoxes _ CONS[MathBox.MakeBox[l.first.tag, NIL, tempBox.FormatClass[], tempBox.Type[], tempBox.Extents[], tempBox.Offset[], tempBox.SubscriptHint[], tempBox.SuperscriptHint[]], elementBoxes];
ENDLOOP;

spaceBox _ Format[m.space, MathRules.ComputeSize[base: size, adjustment: script]];
openSymBox _ Format[m.openSym, normal];
closeSymBox _ Format[m.closeSym, normal];

[myBox, elementBoxes, m.openSym.relativeBox, m.closeSym.relativeBox] _ MathRules.ComposeMatrix[m.nRows, m.nCols, elementBoxes, spaceBox, openSymBox, closeSymBox];
myBox _ MathBox.ChangeFormatClass[myBox, m.class.formatClass];

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
IF l.first.relativeBox.Type # relative THEN ERROR unable[$wrongBoxType];
l.first.relativeBox _ MathBox.GetBox[l.first.tag, elementBoxes ! MathBox.boxNotFound => {ERROR unable[$boxNotFound]}];  -- set box
ENDLOOP;

RETURN[myBox];
};


ENDCASE => ERROR;
};


GetDisplayExpr: PUBLIC PROC[tag: ATOM, exprs: LIST OF DisplayExpr] RETURNS[DisplayExpr] ~ {

FOR l: LIST OF DisplayExpr _ exprs, l.rest UNTIL l = NIL DO
IF l.first.tag = tag THEN RETURN[l.first];
ENDLOOP;

ERROR exprNotFound;
};

DisplayExprFromCoords: PUBLIC PROC[expr: DisplayExpr, x, y: REAL] RETURNS[DisplayExpr] ~ {
IF expr = NIL THEN ERROR noSelection;
IF ~MathBox.Inside[expr.absoluteBox, x, y] THEN ERROR noSelection;

WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
IF Selectable[expr] THEN RETURN[expr] ELSE ERROR noSelection;
};

c: CompoundDisplayObj => {
FOR l: LIST OF DisplayExpr _ c.subExprs, l.rest UNTIL l = NIL DO
IF MathBox.Inside[l.first.absoluteBox, x, y] THEN
RETURN[DisplayExprFromCoords[l.first, x, y ! noSelection => CONTINUE]];
ENDLOOP;

IF Selectable[expr] THEN RETURN[expr] ELSE ERROR noSelection;  
};

m: MatrixDisplayObj => {
FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
IF MathBox.Inside[l.first.absoluteBox, x, y] THEN
RETURN[DisplayExprFromCoords[l.first, x, y ! noSelection => CONTINUE]];
ENDLOOP;

IF Selectable[expr] THEN RETURN[expr] ELSE ERROR noSelection;  
};

ENDCASE => ERROR;

};


Selectable: PUBLIC PROC[expr: DisplayExpr] RETURNS[BOOL] ~ {
IF expr = NIL THEN RETURN[FALSE];
WITH expr.expression SELECT FROM
a: AtomDisplayObj => {
IF a.class.flavor = symbol THEN RETURN[FALSE] ELSE RETURN[TRUE];
};
c: CompoundDisplayObj => RETURN[TRUE];
m: MatrixDisplayObj => RETURN[TRUE];
ENDCASE => ERROR;
};

SelectableParent: PUBLIC PROC[expr: DisplayExpr] RETURNS[DisplayExpr] ~ {
IF (expr = NIL) OR (expr.parent) = NIL THEN ERROR noSelection; 
RETURN[expr.parent];
};

SelectableChild: PUBLIC PROC[expr: DisplayExpr] RETURNS[DisplayExpr] ~ {
childExpr: DisplayExpr _ NIL;
IF expr = NIL THEN ERROR noSelection;
WITH expr.expression SELECT FROM
a: AtomDisplayObj => ERROR noSelection;  -- atom has no children
c: CompoundDisplayObj => {
FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
childExpr _ GetDisplayExpr[l.first.name, c.subExprs];
IF Selectable[childExpr] THEN RETURN[childExpr];  -- return selected expression
ENDLOOP;
ERROR noSelection;
};
m: MatrixDisplayObj => {
ERROR noSelection;
};
ENDCASE => ERROR;
};


SelectableSibling: PUBLIC PROC[expr: DisplayExpr] RETURNS[DisplayExpr] ~ {
afterExpr: LIST OF Argument _ NIL;  -- sibling after expr in parent's subexpr list
siblingExpr: DisplayExpr _ NIL;

IF (expr = NIL) OR (expr.parent = NIL) THEN ERROR noSelection;

WITH expr.parent.expression SELECT FROM
a: AtomDisplayObj => ERROR noSelection;
c: CompoundDisplayObj => {
FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
IF l.first.name = expr.tag THEN {afterExpr _ l.rest; EXIT};
ENDLOOP;
FOR l: LIST OF Argument _ afterExpr, l.rest UNTIL l = NIL DO
siblingExpr _ GetDisplayExpr[l.first.name, c.subExprs];
IF Selectable[siblingExpr] THEN RETURN[siblingExpr]; -- return selected expression
ENDLOOP;
FOR l: LIST OF Argument _ c.class.arguments, l.rest UNTIL l = NIL DO
IF l.first.name = expr.tag THEN EXIT;  -- already looked thru entire list
siblingExpr _ GetDisplayExpr[l.first.name, c.subExprs];
IF Selectable[siblingExpr] THEN RETURN[siblingExpr]; -- return selected expression
ENDLOOP;
ERROR noSelection;
};
m: MatrixDisplayObj => {
ERROR noSelection;
};
ENDCASE => ERROR;
};


Replace: PUBLIC PROC[expr, old, new: DisplayExpr] RETURNS[DisplayExpr] ~ {
RETURN[ReplaceN[expr, LIST[[old: old, new: new]]]];
};


ReplaceN: PUBLIC PROC[expr: DisplayExpr, replacements: LIST OF ReplacePair] RETURNS[DisplayExpr] ~ {

FOR l: LIST OF ReplacePair _ replacements, l.rest UNTIL l = NIL DO
IF expr = l.first.old THEN {
l.first.new.tag _ l.first.old.tag;  -- replacement has same tag (e.g. $integrand, etc.)
l.first.new.parent _ l.first.old.parent; -- replacement has same parent as before
RETURN[l.first.new];
};
ENDLOOP;

WITH expr.expression SELECT FROM

a: AtomDisplayObj => {
RETURN[Copy[expr]];
};

c: CompoundDisplayObj => {

exprCopy: DisplayExpr;  -- return value
copiedSubExprs: LIST OF DisplayExpr _ NIL;  -- cons up new list of copies

FOR l: LIST OF DisplayExpr _ c.subExprs, l.rest UNTIL l = NIL DO
copiedSubExprs _ CONS[ReplaceN[l.first, replacements], copiedSubExprs];
ENDLOOP; 

exprCopy _ MakeCompoundDisplayExpr[expr.tag, c.class, copiedSubExprs, expr.relativeBox, expr.absoluteBox];
FOR l: LIST OF DisplayExpr _ copiedSubExprs, l.rest UNTIL l = NIL DO
l.first.parent _ exprCopy;  -- set parent pointers appropriately
ENDLOOP;

RETURN[exprCopy];
};

m: MatrixDisplayObj => {

exprCopy: DisplayExpr; -- return value
copiedElts: LIST OF DisplayExpr _ NIL;  -- cons up a new list of copied elements

FOR l: LIST OF DisplayExpr _ m.elements, l.rest UNTIL l = NIL DO
copiedElts _ CONS[ReplaceN[l.first, replacements], copiedElts];
ENDLOOP;

exprCopy _ MakeMatrixDisplayExpr[expr.tag, m.class, m.nRows, m.nCols, copiedElts, expr.relativeBox, expr.absoluteBox, Copy[m.openSym], Copy[m.closeSym], Copy[m.space]];
FOR l: LIST OF DisplayExpr _ copiedElts, l.rest UNTIL l = NIL DO
l.first.parent _ exprCopy;  -- set parent pointers appropriately
ENDLOOP;

RETURN[exprCopy];
};

ENDCASE => ERROR;

};




unable: PUBLIC ERROR[reason: ATOM] = CODE;
noSelection: PUBLIC ERROR = CODE;
exprNotFound: PUBLIC ERROR = CODE;

END.
¸MathDisplayExprImpl.mesa
Carl Waldspurger, August 29, 1986 2:58:56 pm PDT
Type Abbreviations from Imported Types

Private Type Rep

A DisplayExpr is a MUTABLE math expression which is mapped to a viewer.
useful type shorthands

Operations on DisplayExpr

Display Expression Constructors

effects:  Constructs and returns a new atomic display expression.
effects:  Constructs and returns a new compound display expression.
effects:  Constructs and returns a new matrix display expression.
effects:  Returns a ROPE in Dennis Arnon's AlgebraStructures format
          from expr.

local declarations
recursively copy subexpressions
type declarations
local variable declarations
convert boxes into a SEQUENCE (ugh!) matrix type
instantiate matrix "a"  (isn't CLU's array[]$create() much nicer, really?)

construct rope from matrix in CaminoReal format:
add a comma if not last col in row
add a comma if not last row in matrix
row vector
add a comma if not last col in vector
column vector
add a comma if not last row in vector
effects:  Constructs and returns a new display expression from expr.
          All Display formatting information is set to default values.

local declarations
should really combine passed in style with local atomic style
recursively generate displayexprs for all subexpressions (arguments & symbols)
generate all argument subexpressions
generate all symbol subexpressions

construct return value now so can set "parent" component of subexpressions
set parents of display subexpressions
convert elements from expr to displayexpr
construct return value now so can set "parent" component of subexpressions

effects:  Constructs and returns a new EXPR from expr.

local declarations
recursively build a list of tagged arg exprs
local declarations
effects:  Returns a new, distinct copy of expr.

local declarations
recursively copy subexpressions
construct return value now so we can set parent pointers for subexprs
local declarations
recursively copy elements
construct return value now so we can set parent pointers for subexprs

Selectors

effects:  Returns tag associated with expr.
effects:  Returns class of expr.

effects:  Returns subexpressions for expr.
          Returns NIL if no subexpressions exist

Display & Formatting
requires: absBox is an absolute BOX
modifies: expr
effects:  Displays expr in context, bounded by absBox.
          Updates absolute bounding boxes (viewer coords).
          SIGNALS unable[reason: ATOM] if Painting cannot be completed.

local declarations

update absolute coordinates
paint all subexpressions

paint arguments
paint symbols
paint all matrix elements
paint open & close symbols
if selected, highlight region appropriately, using a one pixel border
set proper color depending on selection
highlight region
reset color to black
modifies: expr
effects:  expr is updated into a "paintable" form.
          Returns a bounding box for expr.
          SIGNALS unable[reason: ATOM] if Formatting can not be completed.

local declarations
recursively format all subexpressions (arguments & symbols)
format all argument subexpressions
format all symbol subexpressions
compute corrected boxes using sizing constraints
compose layout for boxes using alignment constraints
set format class for mybox
set relative boxes of display subexpressions
local declarations
recursively format all matrix elements
format openSym, closeSym, and space
compose layout for matrix by using alignment constraints
set format class for mybox
set relative boxes of matrix elements

List Operations

effects: Returns the DisplayExpr in exprs associated with tag.
         SIGNALS exprNotFound if no association exists.
cdr down list looking for tag
not found, so signal error


Selection Operations

effects:  Returns the subexpression associated with coordinates [x, y] in expression expr.  
          SIGNALS noSelection if no association exists.

see if selection can be further narrowed
if above loop does not return, then can't narrow selection any more
see if selection can be further narrowed
if above loop does not return, then can't narrow selection any more
effects: Returns TRUE iff expr is selectable.


effects: Returns the parent (enclosing expression) of expr.
         SIGNALS noParent if no selectable parent exists.

complain if no expr or no parent

effects:  Returns a child expressions (subexpression) for expr.
          SIGNALS noSelection if no selectable child exists.

local declarations

keep looking for selectable child
if there are no selectable children, signal noSelection
** FOO FIX THIS **
effects:  Returns the "next" sibling expression from expr.
          SIGNALS noSelection if no selectable sibling exists.

local declarations
"cycle" thru parent's children and return "next" selectable sibling in list
find starting point to begin looking for next selectable sibling expr
look for next selectable sibling in exprs after expr in list (i.e. in afterExpr)
if no selectable sibling exists after expr, then wraparound list to before expr
if we haven't RETURNed yet, then there are no selectable siblings
** FOO FIX THIS **
effects:  Returns a copy of display expression expr with new substituted for old. 
caveats: Return value must be reformatted before Paint[]'ing.
          Note that new is used (not a copy).
effects:  Returns a copy of display expression expr with 
          new substitured for old for each pair in replacements. 
caveats: Return value must be reformatted before Paint[]'ing.
          Note that the "new" components of replace pairs are used (not copies).
local declarations
recursively copy subexpressions
construct return value now so we can set parent pointers for subexprs
local declarations
recursively copy elements
construct return value now so we can set parent pointers for subexprs

Signals & Errors
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