# -*- coding: utf-8 -*- """ /*************************************************************************** HUB TimeSeriesViewer ------------------- begin : 2015-08-20 git sha : $Format:%H$ copyright : (C) 2017 by HU-Berlin email : benjamin.jakimow@geo.hu-berlin.de ***************************************************************************/ /*************************************************************************** * * * This program is free software; you can redistribute it and/or modify * * it under the terms of the GNU General Public License as published by * * the Free Software Foundation; either version 2 of the License, or * * (at your option) any later version. * * * ***************************************************************************/ """ # noinspection PyPep8Naming import os, sys, math, re, io from collections import defaultdict from qgis.core import * from qgis.gui import * import qgis.utils from PyQt5.QtCore import * from PyQt5.QtWidgets import * from PyQt5.QtGui import * from PyQt5.QtXml import QDomDocument from PyQt5 import uic from osgeo import gdal import weakref import numpy as np jp = os.path.join dn = os.path.dirname from timeseriesviewer import DIR_UI, DIR_REPO from timeseriesviewer import messageLog def qgisInstance(): """ If existent, returns the QGIS Instance. :return: QgisInterface | None """ from timeseriesviewer.main import TimeSeriesViewer if isinstance(qgis.utils.iface, QgisInterface) and \ not isinstance(qgis.utils.iface, TimeSeriesViewer): return qgis.utils.iface else: return None def appendItemsToMenu(menu, itemsToAdd): """ Appends items to QMenu "menu" :param menu: the QMenu to be extended :param itemsToAdd: QMenu or [list-of-QActions-or-QMenus] :return: menu """ assert isinstance(menu, QMenu) if isinstance(itemsToAdd, QMenu): itemsToAdd = itemsToAdd.children() if not isinstance(itemsToAdd, list): itemsToAdd = [itemsToAdd] for item in itemsToAdd: if isinstance(item, QAction): #item.setParent(menu) a = menu.addAction(item.text(), item.triggered, item.shortcut()) a.setEnabled(item.isEnabled()) a.setIcon(item.icon()) menu.addAction(a) s = "" elif isinstance(item, QMenu): item.setParent(menu) menu.addMenu(menu) else: s = "" return menu def allSubclasses(cls): """ Returns all subclasses of class 'cls' Thx to: http://stackoverflow.com/questions/3862310/how-can-i-find-all-subclasses-of-a-class-given-its-name :param cls: :return: """ return cls.__subclasses__() + [g for s in cls.__subclasses__() for g in allSubclasses(s)] def scaledUnitString(num, infix=' ', suffix='B', div=1000): """ Returns a human-readable file size string. thanks to Fred Cirera http://stackoverflow.com/questions/1094841/reusable-library-to-get-human-readable-version-of-file-size :param num: number in bytes :param suffix: 'B' for bytes by default. :param div: divisor of num, 1000 by default. :return: the file size string """ for unit in ['','K','M','G','T','P','E','Z']: if abs(num) < div: return "{:3.1f}{}{}{}".format(num, infix, unit, suffix) num /= div return "{:.1f}{}{}{}".format(num, infix, unit, suffix) class SpatialPoint(QgsPointXY): """ Object to keep QgsPoint and QgsCoordinateReferenceSystem together """ @staticmethod def fromMapCanvasCenter(mapCanvas): assert isinstance(mapCanvas, QgsMapCanvas) crs = mapCanvas.mapSettings().destinationCrs() return SpatialPoint(crs, mapCanvas.center()) @staticmethod def fromSpatialExtent(spatialExtent): assert isinstance(spatialExtent, SpatialExtent) crs = spatialExtent.crs() return SpatialPoint(crs, spatialExtent.center()) def __init__(self, crs, *args): if not isinstance(crs, QgsCoordinateReferenceSystem): crs = QgsCoordinateReferenceSystem(crs) assert isinstance(crs, QgsCoordinateReferenceSystem) super(SpatialPoint, self).__init__(*args) self.mCrs = crs def __hash__(self): return hash(str(self)) def setCrs(self, crs): assert isinstance(crs, QgsCoordinateReferenceSystem) self.mCrs = crs def crs(self): return self.mCrs def toPixelPosition(self, rasterDataSource, allowOutOfRaster=False): """ Returns the pixel position of this SpatialPoint within the rasterDataSource :param rasterDataSource: gdal.Dataset :param allowOutOfRaster: set True to return out-of-raster pixel positions, e.g. QPoint(-1,0) :return: the pixel position as QPoint """ ds = gdalDataset(rasterDataSource) ns, nl = ds.RasterXSize, ds.RasterYSize gt = ds.GetGeoTransform() pt = self.toCrs(ds.GetProjection()) if pt is None: return None px = geo2px(pt, gt) if not allowOutOfRaster: if px.x() < 0 or px.x() >= ns: return None if px.y() < 0 or px.y() >= nl: return None return px def toCrs(self, crs): assert isinstance(crs, QgsCoordinateReferenceSystem) pt = QgsPointXY(self) if self.mCrs != crs: pt = saveTransform(pt, self.mCrs, crs) return SpatialPoint(crs, pt) if pt else None def __reduce_ex__(self, protocol): return self.__class__, (self.crs().toWkt(), self.x(), self.y()), {} def __eq__(self, other): if not isinstance(other, SpatialPoint): return False return self.x() == other.x() and \ self.y() == other.y() and \ self.crs() == other.crs() def __copy__(self): return SpatialPoint(self.crs(), self.x(), self.y()) def __str__(self): return self.__repr__() def __repr__(self): if self.crs().mapUnits() == QgsUnitTypes.DistanceDegrees: return '{:.1f} {:.1f} {}'.format(self.x(), self.y(), self.crs().authid()) else: return '{:.5f} {:.5f} {:}'.format(self.x(), self.y(), self.crs().authid()) def findParent(qObject, parentType, checkInstance = False): parent = qObject.parent() if checkInstance: while parent != None and not isinstance(parent, parentType): parent = parent.parent() else: while parent != None and type(parent) != parentType: parent = parent.parent() return parent def saveTransform(geom, crs1, crs2): assert isinstance(crs1, QgsCoordinateReferenceSystem) assert isinstance(crs2, QgsCoordinateReferenceSystem) result = None if isinstance(geom, QgsRectangle): if geom.isEmpty(): return None transform = QgsCoordinateTransform() transform.setSourceCrs(crs1) transform.setDestinationCrs(crs2) try: rect = transform.transformBoundingBox(geom); result = SpatialExtent(crs2, rect) except: messageLog('Can not transform from {} to {} on rectangle {}'.format( \ crs1.description(), crs2.description(), str(geom))) elif isinstance(geom, QgsPointXY): transform = QgsCoordinateTransform(); transform.setSourceCrs(crs1) transform.setDestinationCrs(crs2) try: pt = transform.transform(geom); result = SpatialPoint(crs2, pt) except: messageLog('Can not transform from {} to {} on QgsPointXY {}'.format( \ crs1.description(), crs2.description(), str(geom))) return result def gdalDataset(pathOrDataset, eAccess=gdal.GA_ReadOnly): """ :param pathOrDataset: path or gdal.Dataset :return: gdal.Dataset """ if not isinstance(pathOrDataset, gdal.Dataset): pathOrDataset = gdal.Open(pathOrDataset, eAccess) assert isinstance(pathOrDataset, gdal.Dataset) return pathOrDataset def geo2pxF(geo, gt): """ Returns the pixel position related to a Geo-Coordinate in floating point precision. :param geo: Geo-Coordinate as QgsPoint :param gt: GDAL Geo-Transformation tuple, as described in http://www.gdal.org/gdal_datamodel.html :return: pixel position as QPointF """ assert isinstance(geo, QgsPointXY) # see http://www.gdal.org/gdal_datamodel.html px = (geo.x() - gt[0]) / gt[1] # x pixel py = (geo.y() - gt[3]) / gt[5] # y pixel return QPointF(px,py) def createGeoTransform(gsd, ul_x, ul_y): """ Create a GDAL Affine GeoTransform vector for north-up images. See http://www.gdal.org/gdal_datamodel.html for details :param gsd: ground-sampling-distance / pixel-size :param ul_x: upper-left X :param ul_y: upper-left Y :return: (tuple) """ if isinstance(gsd, tuple) or isinstance(gsd, list): gt1 = gsd[0] #pixel width gt5 = gsd[1] #pixel height else: gsd = float(gsd) gt1 = gt5 = gsd #pixel width == pixel height gt0 = ul_x gt3 = ul_y gt2 = gt4 = 0 return (gt0, gt1, gt2, gt3, gt4, gt5) def geo2px(geo, gt): """ Returns the pixel position related to a Geo-Coordinate as integer number. Floating-point coordinate are casted to integer coordinate, e.g. the pixel coordinate (0.815, 23.42) is returned as (0,23) :param geo: Geo-Coordinate as QgsPointXY :param gt: GDAL Geo-Transformation tuple, as described in http://www.gdal.org/gdal_datamodel.html :return: pixel position as QPpint """ px = geo2pxF(geo, gt) return QPoint(int(px.x()), int(px.y())) def px2geo(px, gt): """ Converts a pixel coordinate into a geo-coordinate :param px: :param gt: :return: """ #see http://www.gdal.org/gdal_datamodel.html gx = gt[0] + px.x()*gt[1]+px.y()*gt[2] gy = gt[3] + px.x()*gt[4]+px.y()*gt[5] return QgsPointXY(gx,gy) class SpatialExtent(QgsRectangle): """ Object to keep QgsRectangle and QgsCoordinateReferenceSystem together """ @staticmethod def fromMapCanvas(mapCanvas, fullExtent=False): assert isinstance(mapCanvas, QgsMapCanvas) if fullExtent: extent = mapCanvas.fullExtent() else: extent = mapCanvas.extent() crs = mapCanvas.mapSettings().destinationCrs() return SpatialExtent(crs, extent) @staticmethod def world(): crs = QgsCoordinateReferenceSystem('EPSG:4326') ext = QgsRectangle(-180,-90,180,90) return SpatialExtent(crs, ext) @staticmethod def fromRasterSource(pathSrc): ds = gdalDataset(pathSrc) assert isinstance(ds, gdal.Dataset) ns, nl = ds.RasterXSize, ds.RasterYSize gt = ds.GetGeoTransform() crs = QgsCoordinateReferenceSystem(ds.GetProjection()) xValues = [] yValues = [] for x in [0, ns]: for y in [0, nl]: px = px2geo(QPoint(x,y), gt) xValues.append(px.x()) yValues.append(px.y()) return SpatialExtent(crs, min(xValues), min(yValues), max(xValues), max(yValues)) @staticmethod def fromLayer(mapLayer): assert isinstance(mapLayer, QgsMapLayer) extent = mapLayer.extent() crs = mapLayer.crs() return SpatialExtent(crs, extent) def __init__(self, crs, *args): if not isinstance(crs, QgsCoordinateReferenceSystem): crs = QgsCoordinateReferenceSystem(crs) assert isinstance(crs, QgsCoordinateReferenceSystem) super(SpatialExtent, self).__init__(*args) self.mCrs = crs def setCrs(self, crs): assert isinstance(crs, QgsCoordinateReferenceSystem) self.mCrs = crs def crs(self): return self.mCrs def toCrs(self, crs): assert isinstance(crs, QgsCoordinateReferenceSystem) box = QgsRectangle(self) if self.mCrs != crs: box = saveTransform(box, self.mCrs, crs) return SpatialExtent(crs, box) if box else None def spatialCenter(self): return SpatialPoint(self.crs(), self.center()) def combineExtentWith(self, *args): if args is None: return elif isinstance(args[0], SpatialExtent): ext = args[0] extent2 = ext.toCrs(self.crs()) self.combineExtentWith(QgsRectangle(extent2)) else: super(SpatialExtent, self).combineExtentWith(*args) return self def setCenter(self, centerPoint, crs=None): if crs and crs != self.crs(): trans = QgsCoordinateTransform(crs, self.crs()) centerPoint = trans.transform(centerPoint) delta = centerPoint - self.center() self.setXMaximum(self.xMaximum() + delta.x()) self.setXMinimum(self.xMinimum() + delta.x()) self.setYMaximum(self.yMaximum() + delta.y()) self.setYMinimum(self.yMinimum() + delta.y()) return self def __cmp__(self, other): if other is None: return 1 s = "" def upperRightPt(self): return QgsPointXY(*self.upperRight()) def upperLeftPt(self): return QgsPointXY(*self.upperLeft()) def lowerRightPt(self): return QgsPointXY(*self.lowerRight()) def lowerLeftPt(self): return QgsPointXY(*self.lowerLeft()) def upperRight(self): return self.xMaximum(), self.yMaximum() def upperLeft(self): return self.xMinimum(), self.yMaximum() def lowerRight(self): return self.xMaximum(), self.yMinimum() def lowerLeft(self): return self.xMinimum(), self.yMinimum() def __eq__(self, other): return self.toString() == other.toString() def __sub__(self, other): raise NotImplementedError() def __mul__(self, other): raise NotImplementedError() def __copy__(self): return SpatialExtent(self.crs(), QgsRectangle(self)) def __reduce_ex__(self, protocol): return self.__class__, (self.crs().toWkt(), self.xMinimum(), self.yMinimum(), self.xMaximum(), self.yMaximum() ), {} def __hash__(self): return hash(str(self)) def __str__(self): return self.__repr__() def __repr__(self): return '{} {} {}'.format(self.upperLeft(), self.lowerRight(), self.crs().authid()) def saveFilePath(text): """ Normalizes string, converts to lowercase, removes non-alpha characters, and converts spaces to hyphens. see https://stackoverflow.com/questions/295135/turn-a-string-into-a-valid-filename :return: path """ import unicodedata text = unicodedata.normalize('NFKD', text).encode('ascii', 'ignore') text = re.sub(r'[^\w\s.-]', '', text).strip().lower() text = re.sub(r'[-\s]+', '_', text) return re.sub(r'[ ]+]','',text) def value2str(value, sep=' '): """ Converts a value into a string :param value: :param sep: :return: """ if isinstance(value, list): value = sep.join([str(v) for v in value]) elif isinstance(value, np.array): value = value2str(value.astype(list), sep=sep) elif value is None: value = '' else: value = str(value) return value # works in Python 2 & 3 class _Singleton(type): """ A metaclass that creates a Singleton base class when called. """ _instances = {} def __call__(cls, *args, **kwargs): if cls not in cls._instances: cls._instances[cls] = super(_Singleton, cls).__call__(*args, **kwargs) return cls._instances[cls] class Singleton(_Singleton('SingletonMeta', (object,), {})): pass """ #work, but require metaclass pattern class Singleton(type): _instances = {} def __call__(cls, *args, **kwds): if cls not in cls._instances: cls._instances[cls] = super(Singleton, cls).__call__(*args,**kwds) return cls._instances[cls] """ class KeepRefs(object): __refs__ = defaultdict(list) def __init__(self): self.__refs__[self.__class__].append(weakref.ref(self)) @classmethod def instances(cls): for inst_ref in cls.__refs__[cls]: inst = inst_ref() if inst is not None: yield inst def filterSubLayers(filePaths, subLayerEndings): """ Returns sub layers endings from all gdal Datasets within filePaths :param filePaths: :param subLayerEndings: :return: """ results = [] if len(subLayerEndings) == 0: return filePaths[:] for path in filePaths: try: ds = gdal.Open(path) if ds.RasterCount == 0: for s in ds.GetSubDatasets(): for ending in subLayerEndings: if s[0].endswith(ending): results.append(s[0]) else: results.append(path) except: pass return results def copyRenderer(renderer, targetLayer): """ Copies and applies renderer to targetLayer. :param renderer: :param targetLayer: :return: True, if 'renderer' could be copied and applied to 'targetLayer' """ if isinstance(targetLayer, QgsRasterLayer) and isinstance(renderer, QgsRasterRenderer): if isinstance(renderer, QgsMultiBandColorRenderer): r = renderer.clone() r.setInput(targetLayer.dataProvider()) targetLayer.setRenderer(r) return True elif isinstance(renderer, QgsSingleBandPseudoColorRenderer): r = renderer.clone() # r = QgsSingleBandPseudoColorRenderer(None, renderer.band(), None) r.setInput(targetLayer.dataProvider()) cmin = renderer.classificationMin() cmax = renderer.classificationMax() r.setClassificationMin(cmin) r.setClassificationMax(cmax) targetLayer.setRenderer(r) return True elif isinstance(targetLayer, QgsVectorLayer) and isinstance(renderer, QgsFeatureRenderer): #todo: add render-specific switches targetLayer.setRenderer(renderer) return True return False def getSubLayerEndings(files): subLayerEndings = [] for file in files: try: ds = gdal.Open(file) for subLayer in ds.GetSubDatasets(): ending = subLayer[0].split(':')[-2:] if ending not in subLayerEndings: subLayerEndings.append(':'.join(ending)) except: s = "" pass return subLayerEndings def settings(): return QSettings('HU-Berlin', 'HUB TimeSeriesViewer') def niceNumberString(number): if isinstance(number, int): return '{}'.format(number) else: if math.fabs(number) > 1: return '{:0.2f}'.format(number) else: return '{:f}'.format(number) def nicePredecessor(l): mul = -1 if l < 0 else 1 l = np.abs(l) if l > 1.0: exp = np.fix(np.log10(l)) # normalize to [0.0,1.0] l2 = l / 10 ** (exp) m = np.fix(l2) rest = l2 - m if rest >= 0.5: m += 0.5 return mul * m * 10 ** exp elif l < 1.0: exp = np.fix(np.log10(l)) #normalize to [0.0,1.0] m = l / 10 ** (exp-1) if m >= 5: m = 5.0 else: m = 1.0 return mul * m * 10 ** (exp-1) else: return 0.0 loadUI = lambda p : loadUIFormClass(jp(DIR_UI, p)) loadIcon = lambda p: jp(DIR_UI, *['icons',p]) #dictionary to store form classes and avoid multiple calls to read <myui>.ui FORM_CLASSES = dict() def loadUIFormClass(pathUi, from_imports=False, resourceSuffix=''): """ Loads Qt UI files (*.ui) while taking care on QgsCustomWidgets. Uses PyQt4.uic.loadUiType (see http://pyqt.sourceforge.net/Docs/PyQt4/designer.html#the-uic-module) :param pathUi: *.ui file path :param from_imports: is optionally set to use import statements that are relative to '.'. At the moment this only applies to the import of resource modules. :param resourceSuffix: is the suffix appended to the basename of any resource file specified in the .ui file to create the name of the Python module generated from the resource file by pyrcc4. The default is '_rc', i.e. if the .ui file specified a resource file called foo.qrc then the corresponding Python module is foo_rc. :return: the form class, e.g. to be used in a class definition like MyClassUI(QFrame, loadUi('myclassui.ui')) """ RC_SUFFIX = resourceSuffix assert os.path.exists(pathUi), '*.ui file does not exist: {}'.format(pathUi) if pathUi not in FORM_CLASSES.keys(): #parse *.ui xml and replace *.h by qgis.gui doc = QDomDocument() #remove new-lines. this prevents uic.loadUiType(buffer, resource_suffix=RC_SUFFIX) #to mess up the *.ui xml f = open(pathUi, 'r') txt = ''.join(f.readlines()) f.close() doc.setContent(txt) # Replace *.h file references in <customwidget> with <class>Qgs...</class>, e.g. # <header>qgscolorbutton.h</header> # by <header>qgis.gui</header> # this is require to compile QgsWidgets on-the-fly elem = doc.elementsByTagName('customwidget') for child in [elem.item(i) for i in range(elem.count())]: child = child.toElement() className = str(child.firstChildElement('class').firstChild().nodeValue()) if className.startswith('Qgs'): cHeader = child.firstChildElement('header').firstChild() cHeader.setNodeValue('qgis.gui') #collect resource file locations elem = doc.elementsByTagName('include') qrcPathes = [] for child in [elem.item(i) for i in range(elem.count())]: path = child.attributes().item(0).nodeValue() if path.endswith('.qrc'): qrcPathes.append(path) buffer = io.StringIO() # buffer to store modified XML buffer.write(doc.toString()) buffer.flush() buffer.seek(0) #make resource file directories available to the python path (sys.path) baseDir = os.path.dirname(pathUi) tmpDirs = [] for qrcPath in qrcPathes: d = os.path.dirname(os.path.join(baseDir, os.path.dirname(qrcPath))) if d not in sys.path: tmpDirs.append(d) sys.path.extend(tmpDirs) #load form class try: FORM_CLASS, _ = uic.loadUiType(buffer, resource_suffix=RC_SUFFIX) except SyntaxError as ex: FORM_CLASS, _ = uic.loadUiType(pathUi, resource_suffix=RC_SUFFIX) buffer.close() FORM_CLASSES[pathUi] = FORM_CLASS #remove temporary added directories from python path for d in tmpDirs: sys.path.remove(d) return FORM_CLASSES[pathUi] def zipdir(pathDir, pathZip): """ :param pathDir: directory to compress :param pathZip: path to new zipfile """ #thx to https://stackoverflow.com/questions/1855095/how-to-create-a-zip-archive-of-a-directory """ import zipfile assert os.path.isdir(pathDir) zipf = zipfile.ZipFile(pathZip, 'w', zipfile.ZIP_DEFLATED) for root, dirs, files in os.walk(pathDir): for file in files: zipf.write(os.path.join(root, file)) zipf.close() """ import zipfile relroot = os.path.abspath(os.path.join(pathDir, os.pardir)) with zipfile.ZipFile(pathZip, "w", zipfile.ZIP_DEFLATED) as zip: for root, dirs, files in os.walk(pathDir): # add directory (needed for empty dirs) zip.write(root, os.path.relpath(root, relroot)) for file in files: filename = os.path.join(root, file) if os.path.isfile(filename): # regular files only arcname = os.path.join(os.path.relpath(root, relroot), file) zip.write(filename, arcname) def initQgisApplication(pythonPlugins=None, PATH_QGIS=None, qgisDebug=False, qgisResourceDir=None): """ Initializes the QGIS Environment :return: QgsApplication instance of local QGIS installation """ import site if pythonPlugins is None: pythonPlugins = [] assert isinstance(pythonPlugins, list) if isinstance(qgisResourceDir, str) and os.path.isdir(qgisResourceDir): import importlib, re modules = [m for m in os.listdir(qgisResourceDir) if re.search(r'[^_].*\.py', m)] modules = [m[0:-3] for m in modules] for m in modules: mod = importlib.import_module('qgisresources.{}'.format(m)) if "qInitResources" in dir(mod): mod.qInitResources() envVar = os.environ.get('QGIS_PLUGINPATH', None) if isinstance(envVar, list): pythonPlugins.extend(re.split('[;:]', envVar)) # make plugin paths available to QGIS and Python os.environ['QGIS_PLUGINPATH'] = ';'.join(pythonPlugins) os.environ['QGIS_DEBUG'] = '1' if qgisDebug else '0' for p in pythonPlugins: sys.path.append(p) if isinstance(QgsApplication.instance(), QgsApplication): return QgsApplication.instance() else: if PATH_QGIS is None: # find QGIS Path if sys.platform == 'darwin': # search for the QGIS.app import qgis, re assert '.app' in qgis.__file__, 'Can not locate path of QGIS.app' PATH_QGIS_APP = re.split(r'\.app[\/]', qgis.__file__)[0] + '.app' PATH_QGIS = os.path.join(PATH_QGIS_APP, *['Contents', 'MacOS']) if not 'GDAL_DATA' in os.environ.keys(): os.environ['GDAL_DATA'] = r'/Library/Frameworks/GDAL.framework/Versions/Current/Resources/gdal' QApplication.addLibraryPath(os.path.join(PATH_QGIS_APP, *['Contents', 'PlugIns'])) QApplication.addLibraryPath(os.path.join(PATH_QGIS_APP, *['Contents', 'PlugIns', 'qgis'])) else: # assume OSGeo4W startup PATH_QGIS = os.environ['QGIS_PREFIX_PATH'] assert os.path.exists(PATH_QGIS) qgsApp = QgsApplication([], True) qgsApp.setPrefixPath(PATH_QGIS, True) qgsApp.initQgis() def printQgisLog(tb, error, level): if error not in ['Python warning']: print(tb) QgsApplication.instance().messageLog().messageReceived.connect(printQgisLog) return qgsApp def createCRSTransform(src, dst): assert isinstance(src, QgsCoordinateReferenceSystem) assert isinstance(dst, QgsCoordinateReferenceSystem) t = QgsCoordinateTransform() t.setSourceCrs(src) t.setDestinationCrs(dst) return t if __name__ == '__main__': #nice predecessors qgsApp = initQgisApplication() se = SpatialExtent.world() assert nicePredecessor(26) == 25 assert nicePredecessor(25) == 25 assert nicePredecessor(23) == 20 assert nicePredecessor(999) == 950 assert nicePredecessor(1001) == 1000 assert nicePredecessor(1.2) == 1.0 # assert nicePredecessor(0.8) == 0.5 assert nicePredecessor(0.2) == 0.1 assert nicePredecessor(0.021) == 0.01 assert nicePredecessor(0.0009991) == 0.0005