전개 공식
(ax + b)(cx + d) = acx^2 + (ad + bc)x + bd
에 기반을 둔 쉬운 곱셉법(일명 카라슈바 곱셈법)이다.
여기서 특히 a == b or a == c or b == d or c == d 인 경우이면
ad + bc = s(c + d) or ad + bc = a(b + d)
or ad + bc = b(s + c) or ad + bc = c(a + b)
로 더 쉬운 곱셈 계산이 가능하다.
#!/usr/bin/python
# -*- coding: utf-8 -*-
# Filename: ezMult_02.py
#
# Execute: python ezMult_02.py
#
# See: http://zetcode.com/gui/pyqt4/widgets2/
# See: http://zetcode.com/gui/pyqt4/
import sys
import sys, random
from PyQt4 import QtGui, QtCore
class Example(QtGui.QWidget):
def __init__(self):
super(Example, self).__init__()
self.ngame = 1
self.npoint = 0
self.doneflag = False
self.initUI()
def initUI(self):
self.rect = QtCore.QRect(0, 30, 300, 220)
self.xa = random.randint(11, 99)
self.ya = random.randint(11, 99)
self.lblXA = QtGui.QLabel(self)
self.lblYA = QtGui.QLabel(self)
self.lblYA.setFont(QtGui.QFont('Decorative', 16))
self.lblXA.setFont(QtGui.QFont('Decorative', 16))
self.lblXA.setText(str(self.xa))
self.lblYA.setText(str(self.ya))
self.lblXA.move(80, 60)
self.lblYA.move(80, 80)
self.lblAA = QtGui.QLabel(self)
self.lblAA.setFont(QtGui.QFont('Decorative', 16))
self.lblAA.setText("")
self.lblAA.move(65, 90)
self.lblBA = QtGui.QLabel(self)
self.lblBA.setFont(QtGui.QFont('Decorative', 16))
self.lblBA.setText("")
self.lblBA.move(105, 110)
self.lblCA = QtGui.QLabel(self)
self.lblCA.setFont(QtGui.QFont('Decorative', 16))
self.lblCA.setText("")
self.lblCA.move(105, 120)
self.lblOpa = QtGui.QLabel(self)
self.lblOpa.setFont(QtGui.QFont('Decorative', 16))
self.lblOpa.setText("X")
self.lblOpa.move(40, 80)
self.x = random.randint(11, 99)
self.y = random.randint(11, 99)
self.lblX = QtGui.QLabel(self)
self.lblY = QtGui.QLabel(self)
self.lblX.setText(str(self.x))
self.lblY.setText(str(self.y))
self.lblX.move(160, 40)
self.lblY.move(160, 60)
self.lblOp = QtGui.QLabel(self)
self.lblOp.setText("X")
self.lblOp.move(120, 60)
self.lbl = QtGui.QLabel(self)
self.lbl.move(60, 40)
self.lbl.setHidden(True)
self.lblScore = QtGui.QLabel(self)
self.lblScore.setText("Score:")
self.lblScore.move(10, 10)
self.lblMsg = QtGui.QLabel(self)
self.lblMsg.setText("Your first game")
self.lblMsg.move(10, 255)
self.lblScore.setFont(QtGui.QFont('Times New Roman', 12))
self.lblMsg.setFont(QtGui.QFont('Times New Roman', 12))
self.qleA = QtGui.QLineEdit(self)
self.qleA.setFont(QtGui.QFont('Decorative', 20))
self.qleA.setMaxLength(4)
self.qleA.move(165, 90)
self.qleA.resize(80, 30)
self.qleB = QtGui.QLineEdit(self)
self.qleB.setFont(QtGui.QFont('Decorative', 20))
self.qleB.setMaxLength(3)
self.qleB.move(165, 125)
self.qleB.resize(60, 30)
self.qleC = QtGui.QLineEdit(self)
self.qleC.setFont(QtGui.QFont('Decorative', 20))
self.qleC.setMaxLength(4)
self.qleC.move(165, 170)
self.qleC.resize(80, 30)
if self.isSimple(self.xa, self.ya):
self.redrawSimpleSubTable()
else:
self.redrawSubTable()
if self.isSimple(self.x, self.y):
self.redrawSimpleTable()
else:
self.redrawTable()
self.btnExit = QtGui.QPushButton('Exit', self)
self.btnExit.move(310, 60)
self.btnExit.clicked.connect(self.doExit)
self.btnExit.setEnabled(False)
self.btnMore = QtGui.QPushButton('More', self)
self.btnMore.move(310, 120)
self.btnMore.clicked.connect(self.moreGame)
self.btnMore.setEnabled(False)
self.btnConfirm = QtGui.QPushButton('Ok', self)
self.btnConfirm.move(310, 180)
self.btnConfirm.clicked.connect(self.scoreGame)
self.btnExit.setFont(QtGui.QFont('Arial', 12))
self.btnMore.setFont(QtGui.QFont('Arial', 12))
self.btnConfirm.setFont(QtGui.QFont('Arial', 12))
self.qleA.textChanged[str].connect(self.onChanged)
self.setGeometry(300, 300, 420, 280)
self.setWindowTitle('Training Tool for Easy Multiplication')
self.show()
def moreGame(self):
self.update(self.rect)
self.xa = random.randint(11, 99)
self.ya = random.randint(11, 99)
self.lblXA.setText(str(self.xa))
self.lblYA.setText(str(self.ya))
self.x = random.randint(11, 99)
self.y = random.randint(11, 99)
self.lblX.setText(str(self.x))
self.lblY.setText(str(self.y))
self.qleA.setText("")
self.qleB.setText("")
self.qleC.setText("")
if self.isSimple(self.xa, self.ya):
self.redrawSimpleSubTable()
else:
self.redrawSubTable()
if self.isSimple(self.x, self.y):
self.redrawSimpleTable()
else:
self.redrawTable()
self.show()
self.qleA.setFocus(True) # See: http://pyqt.sourceforge.net/Docs/PyQt4/qwidget.html
self.btnMore.setEnabled(False)
self.btnConfirm.setEnabled(True)
if self.ngame == 1:
self.lblMsg.setText("Your first game")
elif self.ngame == 2:
self.lblMsg.setText("Your second game")
elif self.ngame == 3:
self.lblMsg.setText("Your third game")
elif self.ngame == 4:
self.lblMsg.setText("Your fourth game")
elif self.ngame == 5:
self.lblMsg.setText("Your fFifh game")
else:
self.lblMsg.setText("Your %d-th game" % self.ngame)
self.lblMsg.adjustSize()
def scoreGame(self):
c = int(self.qleC.text())
if self.isSimple(self.x, self.y):
if c == self.x*self.y:
self.npoint += 1
self.lblMsg.setText("Right!")
if self.npoint == 5 and self.npoint == self.ngame:
self.lblMsg.setText("Congratulation!!")
self.lblMsg.adjustSize()
else:
s3 = "%d -> %d" % (c, self.x*self.y)
self.lblMsg.setText("Wrong! (%s)" % s3)
self.lblMsg.adjustSize()
else:
a = int(self.qleA.text())
b = int(self.qleB.text())
if a == int(self.x / 10)*int(self.y / 10)*100 + (self.x % 10)*(self.y % 10) and \
b == int(self.x / 10)*(self.y % 10) + (self.x % 10)*int(self.y / 10) and \
c == self.x*self.y:
self.npoint += 1
self.lblMsg.setText("Right!")
if self.npoint == 5 and self.npoint == self.ngame:
self.lblMsg.setText("Congratulation!!")
self.lblMsg.adjustSize()
else:
s1 = ""
if a != int(self.x / 10)*int(self.y / 10)*100 + (self.x % 10)*(self.y % 10):
s1 = "%d -> %d" % (a, int(self.x / 10)*int(self.y / 10)*100 + (self.x % 10)*(self.y % 10))
s2 = ""
if b !=int(self.x / 10)*(self.y % 10) + (self.x % 10)*int(self.y / 10):
if len(s1) > 0:
s2 = ", "
s2 += "%d -> %d" % (b, int(self.x / 10)*(self.y % 10) + (self.x % 10)*int(self.y / 10))
s3 = ""
if c != self.x*self.y:
if len(s2) > 0:
s3 = ", "
s3 += "%d -> %d" % (c, self.x*self.y)
self.lblMsg.setText("Wrong! (%s%s%s)" % (s1, s2, s3))
self.lblMsg.adjustSize()
self.lblScore.setText("Your current score is %d in %d tries," % (20*self.npoint, self.ngame))
self.lblScore.adjustSize()
self.ngame += 1
if self.ngame <= 5:
self.btnMore.setEnabled(True)
self.btnMore.setFocus(True)
else:
self.btnExit.setEnabled(True)
self.btnExit.setFocus(True)
self.btnMore.setEnabled(False)
self.btnConfirm.setEnabled(False)
def isSimple(self, x, y):
if int(x/10) == int(y/10) or x % 10 == y % 10 \
or int(x/10) == x % 10 or int(y/10) == y % 10:
return True
else:
return False
def redrawSimpleSubTable(self):
self.lblAA.setHidden(True)
self.lblBA.setHidden(True)
ca = int(self.xa) * int(self.ya)
if len(str(ca)) == 3:
self.lblCA.setText(str(ca))
self.lblCA.move(72, 109)
self.lblCA.adjustSize()
else:
self.lblCA.setText(str(ca))
self.lblCA.move(60, 109)
self.lblCA.adjustSize()
def redrawSimpleTable(self):
self.qleA.setHidden(True)
self.qleB.setHidden(True)
c = int(self.x) * int(self.y)
if len(str(c)) == 3:
self.qleC.setMaxLength(3)
self.qleC.move(213, 110)
self.qleC.resize(60, 30)
else:
self.qleC.setMaxLength(4)
self.qleC.move(195, 110)
self.qleC.resize(80, 30)
def redrawSubTable(self):
self.lblAA.setHidden(False)
self.lblBA.setHidden(False)
aa = int(self.xa/10) * int(self.ya / 10) * 100 + (self.xa % 10) * (self.ya % 10)
if len(str(aa)) == 3:
self.lblAA.setText(str(aa))
self.lblAA.move(72, 109)
self.lblAA.adjustSize()
else:
self.lblAA.setText(str(aa))
self.lblAA.move(60, 109)
self.lblAA.adjustSize()
ba = int(self.xa % 10) * int(self.ya / 10) + int(self.xa / 10) * int(self.ya %10)
if len(str(ba)) == 1:
self.lblBA.setText(str(ba))
self.lblBA.move(84, 133)
self.lblBA.adjustSize()
elif len(str(ba)) == 2:
self.lblBA.setText(str(ba))
self.lblBA.move(72, 133)
self.lblBA.adjustSize()
else:
self.lblBA.setText(str(ba))
self.lblBA.move(60, 133)
self.lblBA.adjustSize()
ca = int(self.xa) * int(self.ya)
if len(str(ca)) == 3:
self.lblCA.setText(str(ca))
self.lblCA.move(72, 164)
self.lblCA.adjustSize()
else:
self.lblCA.setText(str(ca))
self.lblCA.move(60, 164)
self.lblCA.adjustSize()
def redrawTable(self):
self.qleA.setHidden(False)
self.qleB.setHidden(False)
a = int(self.x/10) * int(self.y / 10)
if len(str(a)) == 1:
self.qleA.setMaxLength(3)
self.qleA.move(213, 110)
self.qleA.resize(60, 30)
else:
self.qleA.setMaxLength(4)
self.qleA.move(195, 110)
self.qleA.resize(80, 30)
b = int(self.x % 10) * int(self.y / 10) + int(self.x / 10) * int(self.y %10)
if len(str(b)) == 1:
self.qleB.setMaxLength(1)
self.qleB.move(235, 145)
self.qleB.resize(20, 30)
elif len(str(b)) == 2:
self.qleB.setMaxLength(2)
self.qleB.move(213, 145)
self.qleB.resize(40, 30)
else:
self.qleB.setMaxLength(3)
self.qleB.move(195, 145)
self.qleB.resize(60, 30)
c = int(self.x) * int(self.y)
if len(str(c)) == 3:
self.qleC.setMaxLength(3)
self.qleC.move(213, 190)
self.qleC.resize(60, 30)
else:
self.qleC.setMaxLength(4)
self.qleC.move(195, 190)
self.qleC.resize(80, 30)
def paintEvent(self, e):
qp = QtGui.QPainter()
qp.begin(self)
self.drawLines(qp)
qp.end()
def drawLines(self, qp):
penA = QtGui.QPen(QtCore.Qt.black, 1, QtCore.Qt.SolidLine)
qp.setPen(penA)
if self.isSimple(self.xa, self.ya):
qp.drawLine(37, 103, 107, 103)
else:
qp.drawLine(37, 103, 107, 103)
qp.drawLine(37, 156, 107, 156)
pen = QtGui.QPen(QtCore.Qt.black, 2, QtCore.Qt.SolidLine)
qp.setPen(pen)
if int(self.x/10) == int(self.y/10) or self.x % 10 == self.y % 10 \
or int(self.x/10) == self.x % 10 or int(self.y/10) == self.y % 10:
qp.drawLine(170, 100, 270, 100)
else:
qp.drawLine(170, 100, 270, 100)
qp.drawLine(170, 185, 270, 185)
qp.setFont(QtGui.QFont('Decorative', 20))
self.lblX.setFont(QtGui.QFont('Decorative', 20))
self.lblY.setFont(QtGui.QFont('Decorative', 20))
self.lblX.setText(str(self.x))
self.lblY.setText(str(self.y))
self.lblX.move(230, 40)
self.lblX.adjustSize()
self.lblY.move(230, 70)
self.lblY.adjustSize()
self.lblOp.setFont(QtGui.QFont('Decorative', 20))
self.lblOp.move(170, 70)
self.lblOp.adjustSize()
def onChanged(self, text):
self.lbl.setText(text)
self.lbl.adjustSize()
def doExit(self):
sys.exit(0)
def main():
app = QtGui.QApplication(sys.argv)
ex = Example()
sys.exit(app.exec_())
if __name__ == '__main__':
main()
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