kopia lustrzana https://github.com/NanoVNA-Saver/nanovna-saver
565 wiersze
25 KiB
Python
565 wiersze
25 KiB
Python
# NanoVNASaver - a python program to view and export Touchstone data from a NanoVNA
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# Copyright (C) 2019. Rune B. Broberg
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <https://www.gnu.org/licenses/>.
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import math
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import logging
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from typing import List
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import numpy as np
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from PyQt5 import QtWidgets, QtGui, QtCore
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from NanoVNASaver.RFTools import Datapoint, RFTools
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from .Chart import Chart
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logger = logging.getLogger(__name__)
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class FrequencyChart(Chart):
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fstart = 0
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fstop = 0
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maxFrequency = 100000000
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minFrequency = 1000000
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minDisplayValue = -1
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maxDisplayValue = 1
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fixedSpan = False
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fixedValues = False
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logarithmicX = False
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leftMargin = 30
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rightMargin = 20
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bottomMargin = 20
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topMargin = 30
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def __init__(self, name):
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super().__init__(name)
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self.setContextMenuPolicy(QtCore.Qt.DefaultContextMenu)
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mode_group = QtWidgets.QActionGroup(self)
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self.menu = QtWidgets.QMenu()
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self.reset = QtWidgets.QAction("Reset")
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self.reset.triggered.connect(self.resetDisplayLimits)
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self.menu.addAction(self.reset)
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self.x_menu = QtWidgets.QMenu("Frequency axis")
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self.action_automatic = QtWidgets.QAction("Automatic")
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self.action_automatic.setCheckable(True)
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self.action_automatic.setChecked(True)
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self.action_automatic.changed.connect(lambda: self.setFixedSpan(self.action_fixed_span.isChecked()))
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self.action_fixed_span = QtWidgets.QAction("Fixed span")
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self.action_fixed_span.setCheckable(True)
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self.action_fixed_span.changed.connect(lambda: self.setFixedSpan(self.action_fixed_span.isChecked()))
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mode_group.addAction(self.action_automatic)
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mode_group.addAction(self.action_fixed_span)
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self.x_menu.addAction(self.action_automatic)
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self.x_menu.addAction(self.action_fixed_span)
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self.x_menu.addSeparator()
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self.action_set_fixed_start = QtWidgets.QAction("Start (" + Chart.shortenFrequency(self.minFrequency) + ")")
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self.action_set_fixed_start.triggered.connect(self.setMinimumFrequency)
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self.action_set_fixed_stop = QtWidgets.QAction("Stop (" + Chart.shortenFrequency(self.maxFrequency) + ")")
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self.action_set_fixed_stop.triggered.connect(self.setMaximumFrequency)
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self.x_menu.addAction(self.action_set_fixed_start)
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self.x_menu.addAction(self.action_set_fixed_stop)
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self.x_menu.addSeparator()
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frequency_mode_group = QtWidgets.QActionGroup(self.x_menu)
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self.action_set_linear_x = QtWidgets.QAction("Linear")
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self.action_set_linear_x.setCheckable(True)
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self.action_set_logarithmic_x = QtWidgets.QAction("Logarithmic")
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self.action_set_logarithmic_x.setCheckable(True)
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frequency_mode_group.addAction(self.action_set_linear_x)
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frequency_mode_group.addAction(self.action_set_logarithmic_x)
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self.action_set_linear_x.triggered.connect(lambda: self.setLogarithmicX(False))
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self.action_set_logarithmic_x.triggered.connect(lambda: self.setLogarithmicX(True))
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self.action_set_linear_x.setChecked(True)
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self.x_menu.addAction(self.action_set_linear_x)
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self.x_menu.addAction(self.action_set_logarithmic_x)
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self.y_menu = QtWidgets.QMenu("Data axis")
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self.y_action_automatic = QtWidgets.QAction("Automatic")
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self.y_action_automatic.setCheckable(True)
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self.y_action_automatic.setChecked(True)
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self.y_action_automatic.changed.connect(lambda: self.setFixedValues(self.y_action_fixed_span.isChecked()))
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self.y_action_fixed_span = QtWidgets.QAction("Fixed span")
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self.y_action_fixed_span.setCheckable(True)
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self.y_action_fixed_span.changed.connect(lambda: self.setFixedValues(self.y_action_fixed_span.isChecked()))
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mode_group = QtWidgets.QActionGroup(self)
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mode_group.addAction(self.y_action_automatic)
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mode_group.addAction(self.y_action_fixed_span)
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self.y_menu.addAction(self.y_action_automatic)
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self.y_menu.addAction(self.y_action_fixed_span)
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self.y_menu.addSeparator()
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self.action_set_fixed_maximum = QtWidgets.QAction("Maximum (" + str(self.maxDisplayValue) + ")")
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self.action_set_fixed_maximum.triggered.connect(self.setMaximumValue)
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self.action_set_fixed_minimum = QtWidgets.QAction("Minimum (" + str(self.minDisplayValue) + ")")
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self.action_set_fixed_minimum.triggered.connect(self.setMinimumValue)
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self.y_menu.addAction(self.action_set_fixed_maximum)
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self.y_menu.addAction(self.action_set_fixed_minimum)
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self.menu.addMenu(self.x_menu)
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self.menu.addMenu(self.y_menu)
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self.menu.addSeparator()
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self.menu.addAction(self.action_save_screenshot)
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self.action_popout = QtWidgets.QAction("Popout chart")
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self.action_popout.triggered.connect(lambda: self.popoutRequested.emit(self))
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self.menu.addAction(self.action_popout)
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self.setFocusPolicy(QtCore.Qt.ClickFocus)
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def contextMenuEvent(self, event):
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self.action_set_fixed_start.setText("Start (" + Chart.shortenFrequency(self.minFrequency) + ")")
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self.action_set_fixed_stop.setText("Stop (" + Chart.shortenFrequency(self.maxFrequency) + ")")
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self.action_set_fixed_minimum.setText("Minimum (" + str(self.minDisplayValue) + ")")
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self.action_set_fixed_maximum.setText("Maximum (" + str(self.maxDisplayValue) + ")")
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if self.fixedSpan:
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self.action_fixed_span.setChecked(True)
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else:
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self.action_automatic.setChecked(True)
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if self.fixedValues:
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self.y_action_fixed_span.setChecked(True)
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else:
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self.y_action_automatic.setChecked(True)
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self.menu.exec_(event.globalPos())
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def setFixedSpan(self, fixed_span: bool):
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self.fixedSpan = fixed_span
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if fixed_span and self.minFrequency >= self.maxFrequency:
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self.fixedSpan = False
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self.action_automatic.setChecked(True)
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self.action_fixed_span.setChecked(False)
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self.update()
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def setFixedValues(self, fixed_values: bool):
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self.fixedValues = fixed_values
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if fixed_values and self.minDisplayValue >= self.maxDisplayValue:
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self.fixedValues = False
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self.y_action_automatic.setChecked(True)
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self.y_action_fixed_span.setChecked(False)
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self.update()
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def setLogarithmicX(self, logarithmic: bool):
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self.logarithmicX = logarithmic
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self.update()
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def setMinimumFrequency(self):
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min_freq_str, selected = QtWidgets.QInputDialog.getText(self, "Start frequency",
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"Set start frequency", text=str(self.minFrequency))
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if not selected:
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return
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min_freq = RFTools.parseFrequency(min_freq_str)
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if min_freq > 0 and not (self.fixedSpan and min_freq >= self.maxFrequency):
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self.minFrequency = min_freq
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if self.fixedSpan:
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self.update()
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def setMaximumFrequency(self):
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max_freq_str, selected = QtWidgets.QInputDialog.getText(self, "Stop frequency",
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"Set stop frequency", text=str(self.maxFrequency))
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if not selected:
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return
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max_freq = RFTools.parseFrequency(max_freq_str)
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if max_freq > 0 and not (self.fixedSpan and max_freq <= self.minFrequency):
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self.maxFrequency = max_freq
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if self.fixedSpan:
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self.update()
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def setMinimumValue(self):
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min_val, selected = QtWidgets.QInputDialog.getDouble(self, "Minimum value",
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"Set minimum value", value=self.minDisplayValue,
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decimals=3)
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if not selected:
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return
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if not (self.fixedValues and min_val >= self.maxDisplayValue):
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self.minDisplayValue = min_val
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if self.fixedValues:
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self.update()
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def setMaximumValue(self):
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max_val, selected = QtWidgets.QInputDialog.getDouble(self, "Maximum value",
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"Set maximum value", value=self.maxDisplayValue,
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decimals=3)
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if not selected:
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return
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if not (self.fixedValues and max_val <= self.minDisplayValue):
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self.maxDisplayValue = max_val
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if self.fixedValues:
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self.update()
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def resetDisplayLimits(self):
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self.fixedValues = False
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self.y_action_automatic.setChecked(True)
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self.fixedSpan = False
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self.action_automatic.setChecked(True)
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self.logarithmicX = False
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self.action_set_linear_x.setChecked(True)
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self.update()
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def getXPosition(self, d: Datapoint) -> int:
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span = self.fstop - self.fstart
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if span > 0:
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if self.logarithmicX:
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span = math.log(self.fstop) - math.log(self.fstart)
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return self.leftMargin +\
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round(self.chartWidth * (math.log(d.freq) - math.log(self.fstart)) / span)
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else:
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return self.leftMargin + round(self.chartWidth * (d.freq - self.fstart) / span)
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else:
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return math.floor(self.width()/2)
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def frequencyAtPosition(self, x, limit=True) -> int:
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"""
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Calculates the frequency at a given X-position
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:param limit: Determines whether frequencies outside the currently displayed span can be returned.
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:param x: The X position to calculate for.
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:return: The frequency at the given position, if one exists, or -1 otherwise. If limit is True, and the value
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is before or after the chart, returns minimum or maximum frequencies.
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"""
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if self.fstop - self.fstart > 0:
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absx = x - self.leftMargin
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if limit and absx < 0:
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return self.fstart
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elif limit and absx > self.chartWidth:
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return self.fstop
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elif self.logarithmicX:
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span = math.log(self.fstop) - math.log(self.fstart)
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step = span/self.chartWidth
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return round(math.exp(math.log(self.fstart) + absx * step))
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else:
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span = self.fstop - self.fstart
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step = span/self.chartWidth
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return round(self.fstart + absx * step)
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else:
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return -1
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def valueAtPosition(self, y) -> List[float]:
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"""
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Returns the chart-specific value(s) at the specified Y-position
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:param y: The Y position to calculate for.
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:return: A list of the values at the Y-position, either containing a single value, or the two values for the
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chart from left to right Y-axis. If no value can be found, returns the empty list. If the frequency
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is above or below the chart, returns maximum or minimum values.
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"""
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return []
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def wheelEvent(self, a0: QtGui.QWheelEvent) -> None:
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if len(self.data) == 0 and len(self.reference) == 0:
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a0.ignore()
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return
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do_zoom_x = do_zoom_y = True
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if a0.modifiers() == QtCore.Qt.ShiftModifier:
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do_zoom_x = False
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if a0.modifiers() == QtCore.Qt.ControlModifier:
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do_zoom_y = False
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if a0.angleDelta().y() > 0:
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# Zoom in
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a0.accept()
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# Center of zoom = a0.x(), a0.y()
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# We zoom in by 1/10 of the width/height.
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rate = a0.angleDelta().y() / 120
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if do_zoom_x:
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zoomx = rate * self.chartWidth / 10
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else:
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zoomx = 0
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if do_zoom_y:
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zoomy = rate * self.chartHeight / 10
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else:
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zoomy = 0
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absx = max(0, a0.x() - self.leftMargin)
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absy = max(0, a0.y() - self.topMargin)
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ratiox = absx/self.chartWidth
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ratioy = absy/self.chartHeight
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p1x = int(self.leftMargin + ratiox * zoomx)
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p1y = int(self.topMargin + ratioy * zoomy)
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p2x = int(self.leftMargin + self.chartWidth - (1 - ratiox) * zoomx)
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p2y = int(self.topMargin + self.chartHeight - (1 - ratioy) * zoomy)
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self.zoomTo(p1x, p1y, p2x, p2y)
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elif a0.angleDelta().y() < 0:
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# Zoom out
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a0.accept()
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# Center of zoom = a0.x(), a0.y()
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# We zoom out by 1/9 of the width/height, to match zoom in.
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rate = -a0.angleDelta().y() / 120
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if do_zoom_x:
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zoomx = rate * self.chartWidth / 9
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else:
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zoomx = 0
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if do_zoom_y:
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zoomy = rate * self.chartHeight / 9
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else:
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zoomy = 0
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absx = max(0, a0.x() - self.leftMargin)
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absy = max(0, a0.y() - self.topMargin)
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ratiox = absx/self.chartWidth
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ratioy = absy/self.chartHeight
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p1x = int(self.leftMargin - ratiox * zoomx)
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p1y = int(self.topMargin - ratioy * zoomy)
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p2x = int(self.leftMargin + self.chartWidth + (1 - ratiox) * zoomx)
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p2y = int(self.topMargin + self.chartHeight + (1 - ratioy) * zoomy)
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self.zoomTo(p1x, p1y, p2x, p2y)
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else:
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a0.ignore()
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def zoomTo(self, x1, y1, x2, y2):
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val1 = self.valueAtPosition(y1)
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val2 = self.valueAtPosition(y2)
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if len(val1) == len(val2) == 1 and val1[0] != val2[0]:
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self.minDisplayValue = round(min(val1[0], val2[0]), 3)
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self.maxDisplayValue = round(max(val1[0], val2[0]), 3)
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self.setFixedValues(True)
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freq1 = max(1, self.frequencyAtPosition(x1, limit=False))
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freq2 = max(1, self.frequencyAtPosition(x2, limit=False))
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if freq1 > 0 and freq2 > 0 and freq1 != freq2:
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self.minFrequency = min(freq1, freq2)
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self.maxFrequency = max(freq1, freq2)
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self.setFixedSpan(True)
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self.update()
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def mouseMoveEvent(self, a0: QtGui.QMouseEvent) -> None:
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if a0.buttons() == QtCore.Qt.RightButton:
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a0.ignore()
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return
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if a0.buttons() == QtCore.Qt.MiddleButton:
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# Drag the display
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a0.accept()
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if self.moveStartX != -1 and self.moveStartY != -1:
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dx = self.moveStartX - a0.x()
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dy = self.moveStartY - a0.y()
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self.zoomTo(self.leftMargin + dx, self.topMargin + dy,
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self.leftMargin + self.chartWidth + dx, self.topMargin + self.chartHeight + dy)
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self.moveStartX = a0.x()
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self.moveStartY = a0.y()
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return
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if a0.modifiers() == QtCore.Qt.ControlModifier:
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# Dragging a box
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if not self.draggedBox:
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self.draggedBoxStart = (a0.x(), a0.y())
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self.draggedBoxCurrent = (a0.x(), a0.y())
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self.update()
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a0.accept()
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return
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x = a0.x()
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f = self.frequencyAtPosition(x)
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if x == -1:
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a0.ignore()
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return
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else:
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a0.accept()
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m = self.getActiveMarker()
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if m is not None:
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m.setFrequency(str(f))
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m.frequencyInput.setText(str(f))
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return
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def resizeEvent(self, a0: QtGui.QResizeEvent) -> None:
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self.chartWidth = a0.size().width()-self.rightMargin-self.leftMargin
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self.chartHeight = a0.size().height() - self.bottomMargin - self.topMargin
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self.update()
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def paintEvent(self, a0: QtGui.QPaintEvent) -> None:
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qp = QtGui.QPainter(self)
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self.drawChart(qp)
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self.drawValues(qp)
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if len(self.data) > 0\
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and (self.data[0].freq > self.fstop or self.data[len(self.data)-1].freq < self.fstart) \
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and (len(self.reference) == 0 or self.reference[0].freq > self.fstop or
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self.reference[len(self.reference)-1].freq < self.fstart):
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# Data outside frequency range
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qp.setBackgroundMode(QtCore.Qt.OpaqueMode)
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qp.setBackground(self.backgroundColor)
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qp.setPen(self.textColor)
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qp.drawText(self.leftMargin + self.chartWidth/2 - 70, self.topMargin + self.chartHeight/2 - 20,
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"Data outside frequency span")
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if self.draggedBox and self.draggedBoxCurrent[0] != -1:
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dashed_pen = QtGui.QPen(self.foregroundColor, 1, QtCore.Qt.DashLine)
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qp.setPen(dashed_pen)
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top_left = QtCore.QPoint(self.draggedBoxStart[0], self.draggedBoxStart[1])
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bottom_right = QtCore.QPoint(self.draggedBoxCurrent[0], self.draggedBoxCurrent[1])
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rect = QtCore.QRect(top_left, bottom_right)
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qp.drawRect(rect)
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qp.end()
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def drawChart(self, qp: QtGui.QPainter):
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qp.setPen(QtGui.QPen(self.textColor))
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qp.drawText(3, 15, self.name)
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qp.setPen(QtGui.QPen(self.foregroundColor))
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qp.drawLine(self.leftMargin, self.topMargin - 5,
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self.leftMargin, self.topMargin + self.chartHeight + 5)
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qp.drawLine(self.leftMargin-5, self.topMargin + self.chartHeight,
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self.leftMargin+self.chartWidth, self.topMargin + self.chartHeight)
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self.drawTitle(qp)
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def drawFrequencyTicks(self, qp):
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fspan = self.fstop - self.fstart
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qp.setPen(self.textColor)
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qp.drawText(self.leftMargin - 20, self.topMargin + self.chartHeight + 15, Chart.shortenFrequency(self.fstart))
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ticks = math.floor(self.chartWidth / 100) # Number of ticks does not include the origin
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for i in range(ticks):
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x = self.leftMargin + round((i + 1) * self.chartWidth / ticks)
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if self.logarithmicX:
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fspan = math.log(self.fstop) - math.log(self.fstart)
|
|
freq = round(math.exp(((i + 1) * fspan / ticks) + math.log(self.fstart)))
|
|
else:
|
|
freq = round(fspan / ticks * (i + 1) + self.fstart)
|
|
qp.setPen(QtGui.QPen(self.foregroundColor))
|
|
qp.drawLine(x, self.topMargin, x, self.topMargin + self.chartHeight + 5)
|
|
qp.setPen(self.textColor)
|
|
qp.drawText(x - 20, self.topMargin + self.chartHeight + 15, Chart.shortenFrequency(freq))
|
|
|
|
def drawBands(self, qp, fstart, fstop):
|
|
qp.setBrush(self.bands.color)
|
|
qp.setPen(QtGui.QColor(128, 128, 128, 0)) # Don't outline the bands
|
|
for (_, start, end) in self.bands.bands:
|
|
if fstart < start < fstop and fstart < end < fstop:
|
|
# The band is entirely within the chart
|
|
x_start = self.getXPosition(Datapoint(start, 0, 0))
|
|
x_end = self.getXPosition(Datapoint(end, 0, 0))
|
|
qp.drawRect(x_start, self.topMargin, x_end - x_start, self.chartHeight)
|
|
elif fstart < start < fstop:
|
|
# Only the start of the band is within the chart
|
|
x_start = self.getXPosition(Datapoint(start, 0, 0))
|
|
qp.drawRect(x_start, self.topMargin, self.leftMargin + self.chartWidth - x_start, self.chartHeight)
|
|
elif fstart < end < fstop:
|
|
# Only the end of the band is within the chart
|
|
x_end = self.getXPosition(Datapoint(end, 0, 0))
|
|
qp.drawRect(self.leftMargin + 1, self.topMargin, x_end - (self.leftMargin + 1), self.chartHeight)
|
|
elif start < fstart < fstop < end:
|
|
# All the chart is in a band, we won't show it(?)
|
|
pass
|
|
|
|
def drawData(self, qp: QtGui.QPainter, data: List[Datapoint], color: QtGui.QColor, y_function=None):
|
|
if y_function is None:
|
|
y_function = self.getYPosition
|
|
pen = QtGui.QPen(color)
|
|
pen.setWidth(self.pointSize)
|
|
line_pen = QtGui.QPen(color)
|
|
line_pen.setWidth(self.lineThickness)
|
|
qp.setPen(pen)
|
|
for i in range(len(data)):
|
|
x = self.getXPosition(data[i])
|
|
y = y_function(data[i])
|
|
if y is None:
|
|
continue
|
|
if self.isPlotable(x, y):
|
|
qp.drawPoint(int(x), int(y))
|
|
if self.drawLines and i > 0:
|
|
prevx = self.getXPosition(data[i - 1])
|
|
prevy = y_function(data[i - 1])
|
|
if prevy is None:
|
|
continue
|
|
qp.setPen(line_pen)
|
|
if self.isPlotable(x, y) and self.isPlotable(prevx, prevy):
|
|
qp.drawLine(x, y, prevx, prevy)
|
|
elif self.isPlotable(x, y) and not self.isPlotable(prevx, prevy):
|
|
new_x, new_y = self.getPlotable(x, y, prevx, prevy)
|
|
qp.drawLine(x, y, new_x, new_y)
|
|
elif not self.isPlotable(x, y) and self.isPlotable(prevx, prevy):
|
|
new_x, new_y = self.getPlotable(prevx, prevy, x, y)
|
|
qp.drawLine(prevx, prevy, new_x, new_y)
|
|
qp.setPen(pen)
|
|
|
|
def drawMarkers(self, qp, data=None, y_function=None):
|
|
if data is None:
|
|
data = self.data
|
|
if y_function is None:
|
|
y_function = self.getYPosition
|
|
highlighter = QtGui.QPen(QtGui.QColor(20, 0, 255))
|
|
highlighter.setWidth(1)
|
|
for m in self.markers:
|
|
if m.location != -1 and m.location < len(data):
|
|
x = self.getXPosition(data[m.location])
|
|
y = y_function(data[m.location])
|
|
if self.isPlotable(x, y):
|
|
self.drawMarker(x, y, qp, m.color, self.markers.index(m)+1)
|
|
|
|
def isPlotable(self, x, y):
|
|
return y is not None and x is not None and \
|
|
self.leftMargin <= x <= self.leftMargin + self.chartWidth and \
|
|
self.topMargin <= y <= self.topMargin + self.chartHeight
|
|
|
|
def getPlotable(self, x, y, distantx, distanty):
|
|
p1 = np.array([x, y])
|
|
p2 = np.array([distantx, distanty])
|
|
# First check the top line
|
|
if distanty < self.topMargin:
|
|
p3 = np.array([self.leftMargin, self.topMargin])
|
|
p4 = np.array([self.leftMargin + self.chartWidth, self.topMargin])
|
|
elif distanty > self.topMargin + self.chartHeight:
|
|
p3 = np.array([self.leftMargin, self.topMargin + self.chartHeight])
|
|
p4 = np.array([self.leftMargin + self.chartWidth, self.topMargin + self.chartHeight])
|
|
else:
|
|
return x, y
|
|
da = p2 - p1
|
|
db = p4 - p3
|
|
dp = p1 - p3
|
|
dap = np.array([-da[1], da[0]])
|
|
denom = np.dot(dap, db)
|
|
if denom != 0:
|
|
num = np.dot(dap, dp)
|
|
result = (num / denom.astype(float)) * db + p3
|
|
return result[0], result[1]
|
|
else:
|
|
return x, y
|
|
|
|
def copy(self):
|
|
new_chart: FrequencyChart = super().copy()
|
|
new_chart.fstart = self.fstart
|
|
new_chart.fstop = self.fstop
|
|
new_chart.maxFrequency = self.maxFrequency
|
|
new_chart.minFrequency = self.minFrequency
|
|
new_chart.minDisplayValue = self.minDisplayValue
|
|
new_chart.maxDisplayValue = self.maxDisplayValue
|
|
new_chart.pointSize = self.pointSize
|
|
new_chart.lineThickness = self.lineThickness
|
|
|
|
new_chart.setFixedSpan(self.fixedSpan)
|
|
new_chart.action_automatic.setChecked(not self.fixedSpan)
|
|
new_chart.action_fixed_span.setChecked(self.fixedSpan)
|
|
|
|
new_chart.setFixedValues(self.fixedValues)
|
|
new_chart.y_action_automatic.setChecked(not self.fixedValues)
|
|
new_chart.y_action_fixed_span.setChecked(self.fixedValues)
|
|
|
|
new_chart.setLogarithmicX(self.logarithmicX)
|
|
new_chart.action_set_logarithmic_x.setChecked(self.logarithmicX)
|
|
new_chart.action_set_linear_x.setChecked(not self.logarithmicX)
|
|
return new_chart
|
|
|
|
def keyPressEvent(self, a0: QtGui.QKeyEvent) -> None:
|
|
m = self.getActiveMarker()
|
|
if m is not None and a0.modifiers() == QtCore.Qt.NoModifier:
|
|
if a0.key() == QtCore.Qt.Key_Down or a0.key() == QtCore.Qt.Key_Left:
|
|
m.frequencyInput.keyPressEvent(QtGui.QKeyEvent(a0.type(), QtCore.Qt.Key_Down, a0.modifiers()))
|
|
elif a0.key() == QtCore.Qt.Key_Up or a0.key() == QtCore.Qt.Key_Right:
|
|
m.frequencyInput.keyPressEvent(QtGui.QKeyEvent(a0.type(), QtCore.Qt.Key_Up, a0.modifiers()))
|
|
else:
|
|
super().keyPressEvent(a0)
|