/// <summary>
/// Calculate the equation.
/// </summary>
private void Calculate()
{
double value = 0.0d;
try {
Equation equation = Equation.ParseEquation(_equation);
value = equation.GetValue();
_history.Add(_equation + "=" + value.ToString("G5"));
_windowPos.height = 0.0f;
_windowPos.width = 0.0f;
if (_history.Count > MAX_HISTORY)
{
_history.RemoveRange(0, _history.Count - MAX_HISTORY);
}
} catch (ParsingException e) {
Debug.Log(_equation + ":" + e.Message);
_history.Add(_equation + "\n" + e.Message);
}
}
/// <summary>
/// Raises the window event.
/// </summary>
/// <param name="windowId">Window identifier.</param>
private void OnWindow(int windowId)
{
GUILayout.BeginHorizontal(GUILayout.MinWidth(300.0f));
GUILayout.BeginVertical(GUILayout.MaxWidth(300.0f + (_width * 50.0f)));
GUILayout.BeginHorizontal();
GUILayout.Label("History:", _labelStyle);
if (GUILayout.Button("Clear", _buttonStyle))
{
_history.Clear();
_windowPos.height = 0.0f;
_windowPos.width = 0.0f;
}
GUILayout.EndHorizontal();
GUILayout.TextArea(String.Join("\n", _history.ToArray()), _textAreaStyle);
GUILayout.BeginHorizontal(GUILayout.MinWidth(300.0f + (_width * 50.0f)));
GUILayout.Label("Equation Input:", _labelStyle);
if (GUILayout.Button("Wider", _buttonStyle) && _width < 6)
{
_width++;
}
if (GUILayout.Button("Narrower", _buttonStyle) && _width > 0)
{
_width--;
_windowPos.width = 0.0f;
}
GUILayout.EndHorizontal();
GUI.SetNextControlName("EquationIn");
_equation = GUILayout.TextField(_equation, _textFieldStyle);
if (Event.current.isKey && GUI.GetNameOfFocusedControl() == "EquationIn")
{
if (Event.current.keyCode == KeyCode.UpArrow || Event.current.keyCode == KeyCode.DownArrow)
{
if (Event.current.keyCode == KeyCode.UpArrow)
{
if (_hIdx < 0)
{
_hIdx = _history.Count - 1;
}
else
{
_hIdx--;
}
}
else if (Event.current.keyCode == KeyCode.DownArrow)
{
_hIdx++;
if (_hIdx >= _history.Count)
{
_hIdx = -1;
}
}
if (_hIdx < 0)
{
_hIdx = -1;
_equation = "";
}
else
{
string hist = _history [_hIdx];
if (hist.IndexOf('=') > 0)
{
hist = hist.Remove(hist.IndexOf('='));
}
if (hist.IndexOf('\n') > 0)
{
hist = hist.Remove(hist.IndexOf('\n'));
}
_equation = hist;
}
}
else if (Event.current.keyCode == KeyCode.Return)
{
Calculate();
}
}
GUILayout.BeginHorizontal();
if (GUILayout.Button("Calculate", _buttonStyle))
{
Calculate();
}
if (GUILayout.Button(_simple ? "More" : "Less", _buttonStyle))
{
_simple = !_simple;
_windowPos.width = 0.0f;
_windowPos.height = 0.0f;
}
if (GUILayout.Button("Close", _buttonStyle))
{
Hide();
}
GUILayout.EndHorizontal();
GUILayout.EndVertical();
if (!_simple)
{
GUILayout.BeginVertical(GUILayout.MaxWidth(300.0f));
int oldMenu = _menuSelection;
_menuSelection = GUILayout.SelectionGrid(_menuSelection,
new string[] { "Graph", "Cheat Sheet", "Notes", "Help" }, 2, _buttonStyle,
GUILayout.MinWidth(300.0f));
if (_menuSelection == 0)
{
GUILayout.BeginHorizontal();
GUILayout.Label("X Min:", _labelStyle, GUILayout.MaxWidth(50.0f));
_xmin = GUILayout.TextField(_xmin, _textFieldStyle, GUILayout.MaxWidth(250f));
GUILayout.EndHorizontal();
GUILayout.BeginHorizontal();
GUILayout.Label("X Max:", _labelStyle, GUILayout.MaxWidth(50.0f));
_xmax = GUILayout.TextField(_xmax, _textFieldStyle, GUILayout.MaxWidth(250f));
GUILayout.EndHorizontal();
GUILayout.BeginHorizontal();
if (GUILayout.Button("Graph", _buttonStyle))
{
Graph();
}
if (GUILayout.Button("Reset Graph", _buttonStyle))
{
_graph = null;
_geq = null;
_windowPos.height = 0.0f;
_windowPos.width = 0.0f;
}
GUILayout.EndHorizontal();
if (_graph != null)
{
GUILayout.Label("Y max:" + _ymax.ToString("G10"), _labelStyle);
GUILayout.Box(_graph.getImage());
Rect boxRect = GUILayoutUtility.GetLastRect();
string mouseOverMessage = "";
if (boxRect.Contains(Event.current.mousePosition))
{
float x = Event.current.mousePosition.x - boxRect.x - 25.0f;
if (x >= 0 && x <= 250.0f)
{
double delta = (_gxmax - _gxmin) / 250.0d;
mouseOverMessage = "X:" + (_gxmin + x * delta).ToString("G5") +
" Y:" + _geq.GetValue(_gxmin + x * delta).ToString("G5");
}
}
GUILayout.Label("Y min:" + _ymin.ToString("G10"), _labelStyle);
GUILayout.Label(mouseOverMessage, _labelStyle);
}
}
else if (_menuSelection == 1)
{
GUILayout.Label("Cheat Sheet", _labelStyle);
GUILayout.TextArea(CHEAT_SHEET, _textAreaStyle);
}
else if (_menuSelection == 2)
{
GUILayout.Label("Notes", _labelStyle);
_globalScratchPad = GUILayout.TextArea(_globalScratchPad, _textAreaStyle);
}
else if (_menuSelection == 3)
{
GUILayout.Label("Help", _labelStyle);
GUILayout.TextArea(HELP, _textAreaStyle);
}
if (_menuSelection != oldMenu)
{
_windowPos.height = 0.0f;
}
GUILayout.EndVertical();
}
GUILayout.EndHorizontal();
GUI.DragWindow();
}
/// <summary>
/// Parses the equation string returning an Equation object. Error checking is minimal and will evaluate
/// invalid strings in unique and meaningless ways.
/// </summary>
/// <returns>The equation object.</returns>
/// <param name="eqText">Equation text.</param>
static public Equation ParseEquation(string eqText)
{
char[] eq = eqText.ToCharArray();
string constant = "";
Equation equation = new Equation();
for (int index = 0; index < eqText.Length; index++)
{
// Ignore whitespace.
if (Char.IsWhiteSpace(eq[index]))
{
continue;
}
if (eq [index] == ',')
{
continue;
}
if (eq [index] == '=')
{
continue;
}
bool addConstant = false;
// Determine if this looks like a constant (0-9, -, ., or e surrounded by digits).
if (Char.IsDigit(eq [index]) ||
(Char.ToLower(eq [index]) == 'e' && constant != "") ||
eq[index] == '.')
{
constant += eq [index];
addConstant = true;
// We are at the end of the constant, make it a term.
}
else if (constant != "")
{
ConstantTerm ct = new ConstantTerm(Double.Parse(constant));
equation.SetNextTerm(ct);
constant = "";
}
// We are at the end of the string. Turn the last constant into a term if applicable.
if (index + 1 == eqText.Length && constant != "")
{
ConstantTerm ct = new ConstantTerm(Double.Parse(constant));
equation.SetNextTerm(ct);
constant = "";
}
if (eq [index] == '-')
{
int k = index + 1;
while (k < eqText.Length)
{
if (!Char.IsWhiteSpace(eq [k]))
{
break;
}
k++;
}
if (k >= eqText.Length)
{
throw new ParsingException("Ends with a - sign.");
}
// First term is negative or it is part of a negative exponent in a constant.
if (Char.IsDigit(eq [k]) &&
(equation.GetPrevTerm(-1) == null || constant != ""))
{
constant += eq [index];
addConstant = true;
}
else
{
int j = index - 1;
while (j > 0)
{
if (!Char.IsWhiteSpace(eq [j]))
{
break;
}
j--;
}
// First term, but not followed by digit.
if (j < 0)
{
j = 0;
}
// Not a digit and not a paren, must be an operation, so this must be a negation.
if (!Char.IsDigit(eq [j]) && eq[j] != ')')
{
if (Char.IsDigit(eq [k]))
{
constant += eq [index];
addConstant = true;
}
else
{
NegationTerm neg = new NegationTerm();
equation.SetNextTerm(neg);
continue;
}
}
}
}
// We have a parenthetical statement. Find the end of this parenthesis and parse it as its own equation.
if (eq [index] == '(')
{
int nesting = 1;
int j = index + 1;
for (; j < eqText.Length; j++)
{
if (eq [j] == '(')
{
nesting++;
}
if (eq [j] == ')')
{
nesting--;
}
if (nesting == 0)
{
break;
}
}
equation.SetNextTerm(ParseEquation(eqText.Substring(index + 1, j - index - 1)));
index = j;
// Ignore the end parenthesis.
}
else if (eq [index] == ')')
{
}
else if (eq [index] == '^')
{
ExponentTerm exp = new ExponentTerm(equation.GetPrevTerm((int)OperatorPriority.EXPONENT));
equation.SetNextTerm(exp);
}
else if (eq [index] == '*')
{
MultiplyTerm mult = new MultiplyTerm(equation.GetPrevTerm((int)OperatorPriority.MULTIPLY));
equation.SetNextTerm(mult);
}
else if (eq [index] == '/')
{
DivideTerm div = new DivideTerm(equation.GetPrevTerm((int)OperatorPriority.DIVISION));
equation.SetNextTerm(div);
}
else if (eq [index] == '%')
{
ModuloTerm div = new ModuloTerm(equation.GetPrevTerm((int)OperatorPriority.DIVISION));
equation.SetNextTerm(div);
}
else if (eq [index] == '+')
{
AdditionTerm addition = new AdditionTerm(equation.GetPrevTerm((int)OperatorPriority.ADDITION));
equation.SetNextTerm(addition);
}
else if (eq [index] == '-' && constant == "")
{
SubtractionTerm sub = new SubtractionTerm(equation.GetPrevTerm((int)OperatorPriority.SUBTRACTION));
equation.SetNextTerm(sub);
}
else if (eq [index] == 'l' && eq [index + 1] == 'n')
{
NaturalLogTerm ln = new NaturalLogTerm();
equation.SetNextTerm(ln);
index += 1;
}
else if (eq [index] == 's' && eq [index + 1] == 'i' && eq [index + 2] == 'n')
{
if (eq [index + 3] == 'h')
{
SinhTerm sin = new SinhTerm();
equation.SetNextTerm(sin);
index += 1;
}
else
{
SinTerm sin = new SinTerm();
equation.SetNextTerm(sin);
}
index += 2;
}
else if (eq [index] == 's' && eq [index + 1] == 'q' && eq [index + 2] == 'r' && eq [index + 3] == 't')
{
SqrtTerm sqrt = new SqrtTerm();
equation.SetNextTerm(sqrt);
index += 3;
}
else if (eq [index] == 'c' && eq [index + 1] == 'o' && eq [index + 2] == 's')
{
if (eq [index + 3] == 'h')
{
CoshTerm cosh = new CoshTerm();
equation.SetNextTerm(cosh);
index += 1;
}
else
{
CosTerm cos = new CosTerm();
equation.SetNextTerm(cos);
}
index += 2;
}
else if (eq [index] == 't' && eq [index + 1] == 'a' && eq [index + 2] == 'n')
{
if (eq [index + 3] == 'h')
{
TanhTerm tanh = new TanhTerm();
equation.SetNextTerm(tanh);
index += 1;
}
else
{
TanTerm tan = new TanTerm();
equation.SetNextTerm(tan);
}
index += 2;
}
else if (eq [index] == 'p' && eq [index + 1] == 'i')
{
ConstantTerm ct = new ConstantTerm(Math.PI);
equation.SetNextTerm(ct);
index += 1;
}
else if (eq [index] == 'x')
{
XTerm xt = new XTerm();
equation.SetNextTerm(xt);
}
else if (eq [index] == 'e' && constant == "")
{
ConstantTerm ct = new ConstantTerm(Math.E);
equation.SetNextTerm(ct);
}
else if (eq [index] == 'a')
{
index += 1;
if (eq [index] == 's' && eq [index + 1] == 'i' && eq [index + 2] == 'n')
{
ASinTerm asin = new ASinTerm();
equation.SetNextTerm(asin);
index += 2;
}
else if (eq [index] == 'c' && eq [index + 1] == 'o' && eq [index + 2] == 's')
{
ACosTerm acos = new ACosTerm();
equation.SetNextTerm(acos);
index += 2;
}
else if (eq [index] == 't' && eq [index + 1] == 'a' && eq [index + 2] == 'n')
{
ATanTerm atan = new ATanTerm();
equation.SetNextTerm(atan);
index += 2;
}
}
else if (!addConstant)
{
int start = index;
if (start > 5)
{
start -= 5;
}
else
{
start = 0;
}
int end = index;
if (end + 5 < eqText.Length)
{
end += 5;
}
else
{
end = eqText.Length - 1;
}
throw new ParsingException("Unable to parse equation at " + index +
". Unknown character near:" + eqText.Substring(start, end));
}
}
if (!equation.IsComplete())
{
throw new ParsingException("Incomplete equation, maybe missing a term?");
}
return(equation);
}
private void OnGraphWindow(int windowId)
{
bool draw = false;
GUILayout.BeginVertical();
GUILayout.BeginHorizontal();
GUILayout.Label("Lines", _labelStyle);
if (GUILayout.Button("+", _buttonStyle) && _graphLineCnt < _lineColor.Length)
{
_graphLineCnt++;
}
if (GUILayout.Button("-", _buttonStyle) && _graphLineCnt > 1)
{
_graphLineCnt--;
_graphPos.height = 0.0f;
if (_graphLines.ContainsKey(_graphLineCnt))
{
_graphLines.Remove(_graphLineCnt);
}
draw = true;
}
GUILayout.EndHorizontal();
GUILayout.BeginHorizontal();
bool lockX = GUILayout.Toggle(_lockX, "Lock X");
if (lockX != _lockX)
{
_refreshGraph = true;
_lockX = lockX;
}
bool lockY = GUILayout.Toggle(_lockY, "Lock Y");
if (lockY != _lockY)
{
_refreshGraph = true;
_lockY = lockY;
}
GUILayout.EndHorizontal();
try {
if (_lockX)
{
GUILayout.BeginHorizontal();
string updated = "";
string minPos = "XMin";
GUILayout.Label("Xmin:", _labelStyle, GUILayout.Width(40.0f));
GUI.SetNextControlName(minPos);
updated = GUILayout.TextField(
_graphLineEdit == -1 ? _xmin : GetValue(_xmin), _textFieldStyle,
GUILayout.MinWidth(40.0f));
if (GUI.GetNameOfFocusedControl() == minPos)
{
if (_graphLineEdit == -1 && updated != _xmin)
{
_xmin = updated;
draw = true;
}
_graphLineEdit = -1;
}
GUILayout.Label("Xmax:", _labelStyle, GUILayout.Width(40.0f));
string maxPos = "XMax";
GUI.SetNextControlName(maxPos);
updated = GUILayout.TextField(
_graphLineEdit == -1 ? _xmax : GetValue(_xmax), _textFieldStyle,
GUILayout.MinWidth(40.0f));
if (GUI.GetNameOfFocusedControl() == maxPos)
{
if (_graphLineEdit == -1 && updated != _xmax)
{
_xmax = updated;
draw = true;
}
_graphLineEdit = -1;
}
GUILayout.EndHorizontal();
}
for (int line = 0; line < _graphLineCnt; line++)
{
if (!_graphLines.ContainsKey(line))
{
_graphLines.Add(line, new GraphLine());
_graphLines [line].LineColor = _lineColor [line];
}
GUILayout.BeginHorizontal();
GUIStyle temp = new GUIStyle(_labelStyle);
Texture2D color = new Texture2D(1, 1);
color.wrapMode = TextureWrapMode.Repeat;
color.SetPixel(0, 0, _graphLines [line].LineColor);
color.Apply();
temp.normal.background = color;
GUILayout.Label("", temp, GUILayout.Width(20.0f));
string cPos = "CG" + line;
GUI.SetNextControlName(cPos);
string updated = GUILayout.TextField(
_graphLines [line].Content, _textFieldStyle, GUILayout.MinWidth(150.0f));
if (GUI.GetNameOfFocusedControl() == cPos)
{
if (_graphLineEdit == line)
{
_graphLines [line].Content = updated;
}
_graphLineEdit = line;
}
if (!_lockX)
{
string minPos = "MinG" + line;
GUI.SetNextControlName(minPos);
updated = GUILayout.TextField(
_graphLineEdit == line ? _graphLines [line].XMin : GetValue(_graphLines [line].XMin), _textFieldStyle,
GUILayout.MinWidth(20.0f));
if (GUI.GetNameOfFocusedControl() == minPos)
{
if (_graphLineEdit == line)
{
_graphLines [line].XMin = updated;
}
_graphLineEdit = line;
}
string maxPos = "MaxG" + line;
GUI.SetNextControlName(maxPos);
updated = GUILayout.TextField(
_graphLineEdit == line ? _graphLines [line].XMax : GetValue(_graphLines [line].XMax), _textFieldStyle,
GUILayout.MinWidth(20.0f));
if (GUI.GetNameOfFocusedControl() == maxPos)
{
if (_graphLineEdit == line)
{
_graphLines [line].XMax = updated;
}
_graphLineEdit = line;
}
}
else
{
_graphLines [line].XMin = _xmin;
_graphLines [line].XMax = _xmax;
}
GUILayout.EndHorizontal();
if (_slider > 1e-2d)
{
GUILayout.BeginHorizontal();
GUILayout.Label("X:" + _graphLines[line].x.ToString("0.0###"), _labelStyle);
GUILayout.Label("Y:" + _graphLines[line].y.ToString("0.0###"), _labelStyle);
GUILayout.EndHorizontal();
}
draw = draw || _graphLines [line].Dirty;
}
float slider = GUILayout.HorizontalSlider(_slider, 0.0f, 300.0f);
if (slider != _slider)
{
_slider = slider;
draw = true;
_graphPos.height = 0.0f;
}
if (draw)
{
_ymax = Double.NaN;
_ymin = Double.NaN;
}
if (draw || _refreshGraph)
{
_refreshGraph = false;
_graph.reset();
for (int line = 0; line < _graphLineCnt; line++)
{
_graphLines[line].Dirty = false;
if (_graphLines [line].Content.Length == 0)
{
continue;
}
if (_graphLines [line].XMin.Length == 0)
{
continue;
}
if (_graphLines [line].XMax.Length == 0)
{
continue;
}
Equation equation = Equation.ParseEquation(EvalCell(_graphLines [line].Content));
Equation xmin = Equation.ParseEquation(EvalCell(_graphLines [line].XMin));
Equation xmax = Equation.ParseEquation(EvalCell(_graphLines [line].XMax));
double min = xmin.GetValue();
double max = xmax.GetValue();
double ymin = Double.NaN;
double ymax = Double.NaN;
if (max <= min || Double.IsNaN(max) || Double.IsNaN(min))
{
continue;
}
double delta = (max - min) / 300.0d;
int px = 0;
for (double x = min; x <= max; x += delta)
{
double y = equation.GetValue(x);
if (Double.IsNaN(y))
{
continue;
}
if (Double.IsNaN(ymin) || y < ymin)
{
ymin = y;
}
if (Double.IsNaN(ymax) || y > ymax)
{
ymax = y;
}
if (px == (int)_slider)
{
_graphLines[line].x = x;
_graphLines[line].y = y;
}
px++;
}
if (Double.IsNaN(_ymin) || ymin < _ymin)
{
_ymin = ymin;
_refreshGraph = true;
}
if (Double.IsNaN(_ymax) || ymax > _ymax)
{
_ymax = ymax;
_refreshGraph = true;
}
if (_lockY)
{
ymin = _ymin;
ymax = _ymax;
}
_graph.drawLineOnGraph(x => equation.GetValue(min + x * delta), ymax, ymin, 300,
_graphLines [line].LineColor);
}
if (_slider > 1e-2d)
{
_graph.drawVerticalLine((int)_slider, Color.grey);
}
_graph.Apply();
}
} catch (Exception e) {
Debug.Log(e.Message + "\n" + e.StackTrace);
}
if (_graph != null)
{
GUILayout.Label("Y max:" + _ymax.ToString("G10"), _labelStyle);
GUILayout.Box(_graph.getImage());
GUILayout.Label("Y min:" + _ymin.ToString("G10"), _labelStyle);
}
GUILayout.EndVertical();
GUI.DragWindow();
}