#!/usr/bin/python


# -*- coding: utf-8 -*-
"""
Created on Mon Mar 09 19:03:17 2015

@author: djohn89
"""

from PyQt4 import QtCore, QtGui
from math import cos, sin, pi, sqrt, tan

# drawing area is (-1,1) x (-1,1) in logical coordinates

W = 500
H = 500
#
#def xToPix(x):
#    return (x*W/2+W/2 + 1)
#
#def yToPix(y):
#    return (H/2-y*H/2 + 1)
#
def degTo16(d):
    return int(16*d)
#
#def radTo16(ra):
#    return int(degTo16(ra*180/3.14159))
    

class CirclesWidget(QtGui.QWidget):
    def __init__(self, parent=None):
        super(CirclesWidget, self).__init__(parent)
        self.timer = QtCore.QBasicTimer()
        self.N = 4
        self.pauseCount = 0
        self.paused = False

        self.timer.start(1600, self)   
    
#    le = 0
#    def setLE(le1):
#        le = le1

    def paintEvent(self, event):
        painter = QtGui.QPainter(self)

        side = min(self.width(), self.height())

        painter.setRenderHint(QtGui.QPainter.Antialiasing)
        painter.translate(self.width() / 2, self.height() / 2)
        painter.scale(side / 2.5, side / 2.5)
        
        r = QtCore.QRectF( -1, -1, 2, 2 )
        painter.drawArc( r, degTo16(0), degTo16(360) )
        
        pLast = QtCore.QPointF(1, 0)
        #N = 8
        N = self.N
        if(N > 300):
            N = 300  # don't draw crazy amounts of points; the GUI will lag
        
        br = QtGui.QPen(QtGui.QColor(255, 0, 0))
        painter.setPen(br)

        for i in xrange(1, N):
            pThis = QtCore.QPointF( cos( 2*pi*float(i)/N ), sin( 2*pi*float(i)/N ) )
            painter.drawLine(pLast, pThis)
            pLast = pThis 
        
        painter.drawLine(pLast, QtCore.QPointF(1, 0))            
        #painter.drawText( QtCore.QPointF(-.75, .75), 'len')
        
        painter.save()
        painter.scale(side / 51200.0, side/ 51200.0)
        font=painter.font() ;
        font.setPointSize ( 1 );
        #font.setWeight(QFont::DemiBold);
        #painter.setFont(font);
        #painter.drawText(....);
    
        #s = 'LB {0}'.format( N/2 * sqrt( 2 - 2*cos(2*pi/N) ) )
        lb = self.N/2.0 * sin( 2.0*pi/float(self.N) )
        ub = self.N/2.0 * tan( 2.0*pi/float(self.N) )
        if(self.N < 1000):
            s = 'N={0}, {1:6f}<pi<{2:6f}'.format(self.N, lb, ub )
        else:
            s = 'N={0}, {1}<pi<{2}'.format(self.N, lb, ub )
            
        #p = self.parent
        #self.parent.lineEdit.setText(s)

        painter.drawText( QtCore.QPointF(-1, 1), s )
        
        painter.restore()        
        
        
        br = QtGui.QPen(QtGui.QColor(0, 255, 0))
        painter.setPen(br)
        
        pLast = QtCore.QPointF(1, 0)
        r1 = 1.0 / cos( pi/N )
        for i in xrange(0, N):
            pThis = QtCore.QPointF( r1 * cos( pi/N + float(i)*2*pi/N ), r1 * sin( pi/N + float(i)*2*pi/N ) )
            painter.drawLine(pLast, pThis)
            pLast = pThis 

        painter.drawLine(pLast, QtCore.QPointF(1, 0))            
        
        
        
        #r.translate(-50,-35)
        #painter.translate( 90, 90 )
        #painter.drawArc( r, degTo16(0), degTo16(180) )
        
    def timerEvent(self, event):
        if event.timerId() == self.timer.timerId():
            
            if self.paused:
                if self.pauseCount >= 30:
                    self.N = 4
                    self.pauseCount = 0
                    self.paused = False
                else:
                    self.pauseCount += 1
            else:
                if (self.N <= 96):
                    self.N += 1
                else:
                    self.N = 4
                
            self.update()
        else:
            super(CirclesWidget, self).timerEvent(event)
    
    def setText(self, newText):
        try:
            N1 = int(newText)
            if(N1 > 3):
                self.N = N1
                self.paused = True
                self.pauseCount = 20
                self.update()
        except:
            self.N = 4
            self.paused = False
            self.pauseCount = 0
            self.update()
            
            
    def mousePressEvent(self, event):            
        self.N = 4
        self.paused = False
        self.pauseCount = 0
        self.update()
        
        

class Dialog(QtGui.QDialog):
    def __init__(self, parent=None):
        super(Dialog, self).__init__(parent)
        
        circ = CirclesWidget()
        lineEdit = QtGui.QLineEdit()
        
        layout = QtGui.QVBoxLayout()
        layout.addWidget(circ)
        layout.addWidget(lineEdit)
        self.setLayout(layout)

        lineEdit.textChanged.connect(circ.setText)

        self.resize(W,H)




if __name__ == '__main__':

    import sys

    app = QtGui.QApplication(sys.argv)
    dialog = Dialog()
    dialog.show();
    sys.exit(app.exec_())