Calculator Example¶
The example shows how to use signals and slots to implement the functionality of a calculator widget, and how to use QGridLayout
to place child widgets in a grid.
The example consists of two classes:
Calculator
is the calculator widget, with all the calculator functionality.
Button
is the widget used for each of the calculator button. It derives fromQToolButton
.
We will start by reviewing Calculator
, then we will take a look at Button
.
Calculator Class Definition¶
class Calculator(QWidget): Q_OBJECT # public Calculator(QWidget parent = None) slots: = private() def digitClicked(): def unaryOperatorClicked(): def additiveOperatorClicked(): def multiplicativeOperatorClicked(): def equalClicked(): def pointClicked(): def changeSignClicked(): def backspaceClicked(): def clear(): def clearAll(): def clearMemory(): def readMemory(): def setMemory(): def addToMemory():
The Calculator
class provides a simple calculator widget. It inherits from QDialog
and has several private slots associated with the calculator’s buttons. eventFilter()
is reimplemented to handle mouse events on the calculator’s display.
Buttons are grouped in categories according to their behavior. For example, all the digit buttons (labeled 0 to 9) append a digit to the current operand. For these, we connect multiple buttons to the same slot (e.g., digitClicked()
). The categories are digits, unary operators (Sqrt, x², 1/x), additive operators (+, -), and multiplicative operators (×, ÷). The other buttons have their own slots.
# private createButton = Button(QString text, char member) def abortOperation(): calculate = bool(float rightOperand, QString pendingOperator)
The private createButton()
function is used as part of the widget construction. abortOperation()
is called whenever a division by zero occurs or when a square root operation is applied to a negative number. calculate()
applies a binary operator (+, -, ×, or ÷).
sumInMemory = float() sumSoFar = float() factorSoFar = float() pendingAdditiveOperator = QString() pendingMultiplicativeOperator = QString() waitingForOperand = bool()
These variables, together with the contents of the calculator display (a QLineEdit
), encode the state of the calculator:
sumInMemory
contains the value stored in the calculator’s memory (using MS, M+, or MC).
sumSoFar
stores the value accumulated so far. When the user clicks =,sumSoFar
is recomputed and shown on the display. Clear All resetssumSoFar
to zero.
factorSoFar
stores a temporary value when doing multiplications and divisions.
pendingAdditiveOperator
stores the last additive operator clicked by the user.
pendingMultiplicativeOperator
stores the last multiplicative operator clicked by the user.
waitingForOperand
istrue
when the calculator is expecting the user to start typing an operand.
Additive and multiplicative operators are treated differently because they have different precedences. For example, 1 + 2 ÷ 3 is interpreted as 1 + (2 ÷ 3) because ÷ has higher precedence than +.
The table below shows the evolution of the calculator state as the user enters a mathematical expression.
User Input
Display
Sum so Far
Add. Op.
Factor so Far
Mult. Op.
Waiting for Operand?
0
0
true
1
1
0
false
1 +
1
1
true
1 + 2
2
1
false
1 + 2 ÷
2
1
2
÷
true
1 + 2 ÷ 3
3
1
2
÷
false
1 + 2 ÷ 3 -
1.66667
1.66667
true
1 + 2 ÷ 3 - 4
4
1.66667
false
1 + 2 ÷ 3 - 4 =
-2.33333
0
true
Unary operators, such as Sqrt, require no special handling; they can be applied immediately since the operand is already known when the operator button is clicked.
display = QLineEdit() enum { NumDigitButtons = 10 } digitButtons[NumDigitButtons] = Button()
Finally, we declare the variables associated with the display and the buttons used to display numerals.
Calculator Class Implementation¶
def __init__(self, parent): QWidget.__init__(self, parent) self.sumInMemory = 0.0 self.sumSoFar = 0.0 , factorSoFar(0.0), waitingForOperand(True)
In the constructor, we initialize the calculator’s state. The pendingAdditiveOperator
and pendingMultiplicativeOperator
variables don’t need to be initialized explicitly, because the QString
constructor initializes them to empty strings. It is also possible to initialize those variable directly in the header. This is called member-initializaton
and avoids a long initialization list.
display = QLineEdit("0") display.setReadOnly(True) display.setAlignment(Qt.AlignRight) display.setMaxLength(15) font = display.font() font.setPointSize(font.pointSize() + 8) display.setFont(font)
We create the QLineEdit
representing the calculator’s display and set up some of its properties. In particular, we set it to be read-only.
We also enlarge display
's font by 8 points.
for i in range(0, NumDigitButtons): digitButtons[i] = createButton(QString.number(i), SLOT(digitClicked())) pointButton = createButton(tr("."), SLOT(pointClicked())) changeSignButton = createButton(tr("\302\261"), SLOT(changeSignClicked())) backspaceButton = createButton(tr("Backspace"), SLOT(backspaceClicked())) clearButton = createButton(tr("Clear"), SLOT(clear())) clearAllButton = createButton(tr("Clear All"), SLOT(clearAll())) clearMemoryButton = createButton(tr("MC"), SLOT(clearMemory())) readMemoryButton = createButton(tr("MR"), SLOT(readMemory())) setMemoryButton = createButton(tr("MS"), SLOT(setMemory())) addToMemoryButton = createButton(tr("M+"), SLOT(addToMemory())) divisionButton = createButton(tr("\303\267"), SLOT(multiplicativeOperatorClicked())) timesButton = createButton(tr("\303\227"), SLOT(multiplicativeOperatorClicked())) minusButton = createButton(tr("-"), SLOT(additiveOperatorClicked())) plusButton = createButton(tr("+"), SLOT(additiveOperatorClicked())) squareRootButton = createButton(tr("Sqrt"), SLOT(unaryOperatorClicked())) powerButton = createButton(tr("x\302\262"), SLOT(unaryOperatorClicked())) reciprocalButton = createButton(tr("1/x"), SLOT(unaryOperatorClicked())) equalButton = createButton(tr("="), SLOT(equalClicked()))
For each button, we call the private createButton()
function with the proper text label and a slot to connect to the button.
mainLayout = QGridLayout() mainLayout.setSizeConstraint(QLayout.SetFixedSize) mainLayout.addWidget(display, 0, 0, 1, 6) mainLayout.addWidget(backspaceButton, 1, 0, 1, 2) mainLayout.addWidget(clearButton, 1, 2, 1, 2) mainLayout.addWidget(clearAllButton, 1, 4, 1, 2) mainLayout.addWidget(clearMemoryButton, 2, 0) mainLayout.addWidget(readMemoryButton, 3, 0) mainLayout.addWidget(setMemoryButton, 4, 0) mainLayout.addWidget(addToMemoryButton, 5, 0) for i in range(1, NumDigitButtons): row = ((9 - i) / 3) + 2 column = ((i - 1) % 3) + 1 mainLayout.addWidget(digitButtons[i], row, column) mainLayout.addWidget(digitButtons[0], 5, 1) mainLayout.addWidget(pointButton, 5, 2) mainLayout.addWidget(changeSignButton, 5, 3) mainLayout.addWidget(divisionButton, 2, 4) mainLayout.addWidget(timesButton, 3, 4) mainLayout.addWidget(minusButton, 4, 4) mainLayout.addWidget(plusButton, 5, 4) mainLayout.addWidget(squareRootButton, 2, 5) mainLayout.addWidget(powerButton, 3, 5) mainLayout.addWidget(reciprocalButton, 4, 5) mainLayout.addWidget(equalButton, 5, 5) setLayout(mainLayout) setWindowTitle(tr("Calculator"))
The layout is handled by a single QGridLayout
. The setSizeConstraint()
call ensures that the Calculator
widget is always shown as its optimal size (its size hint
), preventing the user from resizing the calculator. The size hint is determined by the size and size policy
of the child widgets.
Most child widgets occupy only one cell in the grid layout. For these, we only need to pass a row and a column to addWidget()
. The display
, backspaceButton
, clearButton
, and clearAllButton
widgets occupy more than one column; for these we must also pass a row span and a column span.
def digitClicked(self): clickedButton = Button (sender()) digitValue = clickedButton.text().toInt() if (display.text() == "0" and digitValue == 0.0) return if (waitingForOperand) { display.clear() waitingForOperand = False display.setText(display.text() + QString.number(digitValue))
Pressing one of the calculator’s digit buttons will emit the button’s clicked()
signal, which will trigger the digitClicked()
slot.
First, we find out which button sent the signal using sender()
. This function returns the sender as a QObject
pointer. Since we know that the sender is a Button
object, we can safely cast the QObject
. We could have used a C-style cast or a C++ static_cast<>()
, but as a defensive programming technique we use a qobject_cast()
. The advantage is that if the object has the wrong type, a null pointer is returned. Crashes due to null pointers are much easier to diagnose than crashes due to unsafe casts. Once we have the button, we extract the operator using text()
.
The slot needs to consider two situations in particular. If display
contains “0” and the user clicks the 0 button, it would be silly to show “00”. And if the calculator is in a state where it is waiting for a new operand, the new digit is the first digit of that new operand; in that case, any result of a previous calculation must be cleared first.
At the end, we append the new digit to the value in the display.
def unaryOperatorClicked(self): clickedButton = Button (sender()) clickedOperator = clickedButton.text() operand = display.text().toDouble() result = 0.0 if (clickedOperator == tr("Sqrt")) { if (operand < 0.0) { abortOperation() return result = std::sqrt(operand) } else if (clickedOperator == tr("x\302\262")) { result = std::pow(operand, 2.0) } else if (clickedOperator == tr("1/x")) { if (operand == 0.0) { abortOperation() return result = 1.0 / operand display.setText(QString.number(result)) waitingForOperand = True
The unaryOperatorClicked()
slot is called whenever one of the unary operator buttons is clicked. Again a pointer to the clicked button is retrieved using sender()
. The operator is extracted from the button’s text and stored in clickedOperator
. The operand is obtained from display
.
Then we perform the operation. If Sqrt is applied to a negative number or 1/x to zero, we call abortOperation()
. If everything goes well, we display the result of the operation in the line edit and we set waitingForOperand
to true
. This ensures that if the user types a new digit, the digit will be considered as a new operand, instead of being appended to the current value.
def additiveOperatorClicked(self): clickedButton = Button (sender()) if (not clickedButton) return clickedOperator = clickedButton.text() operand = display.text().toDouble()
The additiveOperatorClicked()
slot is called when the user clicks the + or - button.
Before we can actually do something about the clicked operator, we must handle any pending operations. We start with the multiplicative operators, since these have higher precedence than additive operators:
if (not pendingMultiplicativeOperator.isEmpty()) { if (not calculate(operand, pendingMultiplicativeOperator)) { abortOperation() return display.setText(QString.number(factorSoFar)) operand = factorSoFar factorSoFar = 0.0 pendingMultiplicativeOperator.clear()
If × or ÷ has been clicked earlier, without clicking = afterward, the current value in the display is the right operand of the × or ÷ operator and we can finally perform the operation and update the display.
if (not pendingAdditiveOperator.isEmpty()) { if (not calculate(operand, pendingAdditiveOperator)) { abortOperation() return display.setText(QString.number(sumSoFar)) else: sumSoFar = operand
If + or - has been clicked earlier, sumSoFar
is the left operand and the current value in the display is the right operand of the operator. If there is no pending additive operator, sumSoFar
is simply set to be the text in the display.
pendingAdditiveOperator = clickedOperator waitingForOperand = True
Finally, we can take care of the operator that was just clicked. Since we don’t have the right-hand operand yet, we store the clicked operator in the pendingAdditiveOperator
variable. We will apply the operation later, when we have a right operand, with sumSoFar
as the left operand.
def multiplicativeOperatorClicked(self): clickedButton = Button (sender()) if (not clickedButton) return clickedOperator = clickedButton.text() operand = display.text().toDouble() if (not pendingMultiplicativeOperator.isEmpty()) { if (not calculate(operand, pendingMultiplicativeOperator)) { abortOperation() return display.setText(QString.number(factorSoFar)) else: factorSoFar = operand pendingMultiplicativeOperator = clickedOperator waitingForOperand = True
The multiplicativeOperatorClicked()
slot is similar to additiveOperatorClicked()
. We don’t need to worry about pending additive operators here, because multiplicative operators have precedence over additive operators.
def equalClicked(self): operand = display.text().toDouble() if (not pendingMultiplicativeOperator.isEmpty()) { if (not calculate(operand, pendingMultiplicativeOperator)) { abortOperation() return operand = factorSoFar factorSoFar = 0.0 pendingMultiplicativeOperator.clear() if (not pendingAdditiveOperator.isEmpty()) { if (not calculate(operand, pendingAdditiveOperator)) { abortOperation() return pendingAdditiveOperator.clear() else: sumSoFar = operand display.setText(QString.number(sumSoFar)) sumSoFar = 0.0 waitingForOperand = True
Like in additiveOperatorClicked()
, we start by handling any pending multiplicative and additive operators. Then we display sumSoFar
and reset the variable to zero. Resetting the variable to zero is necessary to avoid counting the value twice.
def pointClicked(self): if (waitingForOperand) display.setText("0") if (not display.text().contains('.')) display.setText(display.text() + tr(".")) waitingForOperand = False
The pointClicked()
slot adds a decimal point to the content in display
.
def changeSignClicked(self): text = display.text() value = text.toDouble() if (value > 0.0) { text.prepend(tr("-")) } else if (value < 0.0) { text.remove(0, 1) display.setText(text)
The changeSignClicked()
slot changes the sign of the value in display
. If the current value is positive, we prepend a minus sign; if the current value is negative, we remove the first character from the value (the minus sign).
def backspaceClicked(self): if (waitingForOperand) return text = display.text() text.chop(1) if (text.isEmpty()) { text = "0" waitingForOperand = True display.setText(text)
The backspaceClicked()
removes the rightmost character in the display. If we get an empty string, we show “0” and set waitingForOperand
to true
.
def clear(self): if (waitingForOperand) return display.setText("0") waitingForOperand = True
The clear()
slot resets the current operand to zero. It is equivalent to clicking Backspace enough times to erase the entire operand.
def clearAll(self): sumSoFar = 0.0 factorSoFar = 0.0 pendingAdditiveOperator.clear() pendingMultiplicativeOperator.clear() display.setText("0") waitingForOperand = True
The clearAll()
slot resets the calculator to its initial state.
def clearMemory(self): sumInMemory = 0.0 def readMemory(self): display.setText(QString.number(sumInMemory)) waitingForOperand = True def setMemory(self): equalClicked() sumInMemory = display.text().toDouble() def addToMemory(self): equalClicked() sumInMemory += display.text().toDouble()
The clearMemory()
slot erases the sum kept in memory, readMemory()
displays the sum as an operand, setMemory()
replace the sum in memory with the current sum, and addToMemory()
adds the current value to the value in memory. For setMemory()
and addToMemory()
, we start by calling equalClicked()
to update sumSoFar
and the value in the display.
Calculator::createButton = Button(QString text, char member) button = Button(text) connect(button, SIGNAL(clicked()), self, member) return button
The private createButton()
function is called from the constructor to create calculator buttons.
def abortOperation(self): clearAll() display.setText(tr("####"))
The private abortOperation()
function is called whenever a calculation fails. It resets the calculator state and displays “####”.
def calculate(self, float rightOperand, QString pendingOperator): if (pendingOperator == tr("+")) { sumSoFar += rightOperand } else if (pendingOperator == tr("-")) { sumSoFar -= rightOperand } else if (pendingOperator == tr("\303\227")) { = rightOperand } else if (pendingOperator == tr("\303\267")) { if (rightOperand == 0.0) return False factorSoFar /= rightOperand return True
The private calculate()
function performs a binary operation. The right operand is given by rightOperand
. For additive operators, the left operand is sumSoFar
; for multiplicative operators, the left operand is factorSoFar
. The function return false
if a division by zero occurs.
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