Visualize lissajuous figure in Maya UI

Lissajous figure in Maya

from maya import cmds
import math
import imp
try:
    imp.find_module('PySide2')
    from PySide2.QtWidgets import *
    from PySide2.QtGui import *
    from PySide2.QtCore import *
except ImportError:
    from PySide.QtGui import *
    from PySide.QtCore import *
from maya.app.general.mayaMixin import MayaQWidgetBaseMixin
    
class Main(MayaQWidgetBaseMixin, QMainWindow):
    def __init__(self, parent = None):
        super(Main, self).__init__(parent)
        
        self.create_locators()
        
        wrapper = QWidget()
        self.setCentralWidget(wrapper)
        self.main_layout = QVBoxLayout()
        wrapper.setLayout(self.main_layout)
        
        #Xの角度比率
        h_layout = QHBoxLayout()
        self.main_layout.addLayout(h_layout)
        label = QLabel('X(cos) Ratio   :',self)
        h_layout.addWidget(label)
        self.__x_ratio = QSpinBox(self)
        self.__x_ratio.setRange(1, 50)
        self.__x_ratio.setValue(1)
        h_layout.addWidget(self.__x_ratio)
        self.__x_ratio_sld = QSlider(Qt.Horizontal,self)
        self.__x_ratio_sld.setRange(1, 50)
        self.__x_ratio_sld.setValue(self.__x_ratio.value())
        h_layout.addWidget(self.__x_ratio_sld)
        self.__x_ratio_sld.valueChanged[int].connect(lambda:self.__x_ratio.setValue(self.__x_ratio_sld.value()))
        self.__x_ratio.editingFinished.connect(lambda:self.__x_ratio_sld.setValue(self.__x_ratio.value()))
        self.__x_ratio.valueChanged.connect(self.relocate_objects)
        
        #Xの角度オフセット
        h_layout = QHBoxLayout()
        self.main_layout.addLayout(h_layout)
        label = QLabel('X(cos) Offset :',self)
        h_layout.addWidget(label)
        self.__x_offset = QSpinBox(self)
        self.__x_offset.setRange(0, 360)
        self.__x_offset.setValue(0)
        h_layout.addWidget(self.__x_offset)
        self.__x_offset_sld = QSlider(Qt.Horizontal,self)
        self.__x_offset_sld.setRange(0, 360)
        self.__x_offset_sld.setValue(self.__x_offset.value())
        h_layout.addWidget(self.__x_offset_sld)
        self.__x_offset_sld.valueChanged[int].connect(lambda:self.__x_offset.setValue(self.__x_offset_sld.value()))
        self.__x_offset.editingFinished.connect(lambda:self.__x_offset_sld.setValue(self.__x_offset.value()))
        self.__x_offset.valueChanged.connect(self.relocate_objects)
        
        self.main_layout.addWidget(self._make_h_line())
        
        #Yの角度比率
        h_layout = QHBoxLayout()
        self.main_layout.addLayout(h_layout)
        label = QLabel('Y(sin) Ratio   :',self)
        h_layout.addWidget(label)
        self.__y_ratio = QSpinBox(self)
        self.__y_ratio.setRange(1, 50)
        self.__y_ratio.setValue(1)
        h_layout.addWidget(self.__y_ratio)
        self.__y_ratio_sld = QSlider(Qt.Horizontal,self)
        self.__y_ratio_sld.setRange(1, 50)
        self.__y_ratio_sld.setValue(self.__y_ratio.value())
        h_layout.addWidget(self.__y_ratio_sld)
        self.__y_ratio_sld.valueChanged[int].connect(lambda:self.__y_ratio.setValue(self.__y_ratio_sld.value()))
        self.__y_ratio.editingFinished.connect(lambda:self.__y_ratio_sld.setValue(self.__y_ratio.value()))
        self.__y_ratio.valueChanged.connect(self.relocate_objects)
        
        #Yの角度オフセット
        h_layout = QHBoxLayout()
        self.main_layout.addLayout(h_layout)
        label = QLabel('Y(sin) Offset :',self)
        h_layout.addWidget(label)
        self.__y_offset = QSpinBox(self)
        self.__y_offset.setRange(0, 360)
        self.__y_offset.setValue(0)
        h_layout.addWidget(self.__y_offset)
        self.__y_offset_sld = QSlider(Qt.Horizontal,self)
        self.__y_offset_sld.setRange(0, 360)
        self.__y_offset_sld.setValue(self.__y_offset.value())
        h_layout.addWidget(self.__y_offset_sld)
        self.__y_offset_sld.valueChanged[int].connect(lambda:self.__y_offset.setValue(self.__y_offset_sld.value()))
        self.__y_offset.editingFinished.connect(lambda:self.__y_offset_sld.setValue(self.__y_offset.value()))
        self.__y_offset.valueChanged.connect(self.relocate_objects)
        
        self.relocate_objects()
        
        self.show()
        
    def _make_h_line(self):
        hline = QFrame()
        hline.setFrameShape(QFrame.HLine)
        hline.setFrameShadow(QFrame.Sunken)
        return hline
        
    def create_locators(self):
        self.all_locators = [cmds.spaceLocator(p=[0]*3)[0] for i in range(1800)]
        
    def relocate_objects(self):
        for i, loc in enumerate(self.all_locators):
            a = i*self.__x_ratio.value()/5.0+self.__x_offset.value()
            b = i*self.__y_ratio.value()/5.0+self.__y_offset.value()
            rad_a = a/180.0*math.pi
            rad_b = b/180.0*math.pi
            cos = math.cos(rad_a)
            sin = math.sin(rad_b)
            cmds.move(cos*100, sin*100, 0, loc)
            
    def closeEvent(self, e):
        cmds.delete(self.all_locators)
Main()