Source code for janggu.data.coverage

"""Coverage dataset"""

import copy
import os
import tempfile
import warnings
from collections import OrderedDict
from itertools import product

import matplotlib.pyplot as plt
import numpy as np
import seaborn as sns
from matplotlib.pyplot import cm
from progress.bar import Bar
from pybedtools import BedTool
from pybedtools import Interval

from janggu.data.data import Dataset
from janggu.data.genomic_indexer import GenomicIndexer
from janggu.data.genomic_indexer import check_resolution_compatibility
from janggu.data.genomicarray import create_genomic_array
from janggu.data.genomicarray import create_sha256_cache
from janggu.utils import NMAP
from janggu.utils import PMAP
from janggu.utils import _get_genomic_reader
from janggu.utils import get_genome_size_from_regions
from janggu.version import version

try:
    import pyBigWig
except ImportError:  # pragma: no cover
    pyBigWig = None
try:
    import pysam
except ImportError:  # pragma: no cover
    pysam = None

class BedGenomicSizeLazyLoader:
    """BedGenomicSizeLazyLoader class

    This class facilitates lazy loading of BED files.
    It reads all BED files and determines the chromosome lengths
    as the maximum length observed.

    The call method is invoked for constructing a new genomic array
    with the correct shape.
    """
    def __init__(self, bedfiles, store_whole_genome, gindexer, genomesize,
                 binsize, stepsize, flank):
        self.bedfiles = bedfiles
        self.store_whole_genome = store_whole_genome
        self.external_gindexer = gindexer
        self.genomesize = genomesize
        self.gsize_ = None
        self.gindexer_ = None
        self.binsize = binsize
        self.stepsize = stepsize
        self.flank = flank

    def load_gsize(self):
        """loads the gsize if first required."""
        print('loading from bed lazy loader')

        if not self.store_whole_genome:
            if self.genomesize is not None:
                gsize = GenomicIndexer.create_from_genomesize(self.genomesize.copy())
            else:
                gsize = self.external_gindexer
            self.gsize_ = gsize
            self.gindexer_ = self.external_gindexer
            return

        gsize = OrderedDict()

        for bedfile in self.bedfiles:
            bed = BedTool(bedfile).sort().merge()
            for region in bed:
                if region.chrom not in gsize:
                    gsize[region.chrom] = region.end
                    continue
                if gsize[region.chrom] < region.end:
                    gsize[region.chrom] = region.end

        gsize_ = GenomicIndexer.create_from_genomesize(gsize)

        self.gsize_ = gsize_

        # New gindexer for the entire genome
        gind = GenomicIndexer(self.binsize, self.stepsize,
                              self.flank, zero_padding=True, collapse=False)
        gind.add_gindexer(gsize_)
        self.gindexer_ = gind

    @property
    def gsize(self):
        """gsize"""
        if self.gsize_ is None:
            self.load_gsize()
        return self.gsize_

    @property
    def gindexer(self):
        """gindexer"""
        if self.gindexer_ is None:
            self.load_gsize()
        return self.gindexer_

    def __call__(self):
        return self.gsize

    def tostr(self):
        """string representation"""
        return "full_genome_lazy_loading"


class BamLoader:
    """BamLoader class.

    This class loads the GenomicArray with read count coverage
    extracted from BAM files.

    Parameters
    ----------
    files : str or list(str)
        Bam file locations.
    gsize : GenomicIndexer
        GenomicIndexer representing the genomic region that should be loaded.
    template_extension : int
        Extension of intervals by template_extension for counting
        paired-end midpoints correctly.
        It may be possible that both read ends are located outside
        of the given interval, but the mid-points inside.
        template_extension extends the interval in order to correcly determine
        the mid-points.
    min_mapq : int
        Minimum mapping quality to be considered.
    pairedend : str
        Paired-end mode 'midpoint' or '5prime'.
    """
    def __init__(self, files, gsize, template_extension,
                 min_mapq, pairedend):
        self.files = files
        self.gsize = gsize
        self.template_extension = template_extension
        self.min_mapq = min_mapq
        self.pairedend = pairedend

    def __call__(self, garray):
        files = self.files
        gsize = self.gsize
        template_extension = self.template_extension
        resolution = garray.resolution
        dtype = garray.typecode
        min_mapq = self.min_mapq
        pairedend = self.pairedend

        bar = Bar('Loading bam files'.format(len(files)), max=len(files))
        for i, sample_file in enumerate(files):
            aln_file = pysam.AlignmentFile(sample_file, 'rb')  # pylint: disable=no-member
            for interval in gsize:

                if resolution is None:
                    length = interval.length
                else:
                    length = garray.get_iv_end(interval.end -
                                               interval.start) * resolution

                array = np.zeros((length, 2), dtype=dtype)

                start = interval.start

                for aln in aln_file.fetch(str(interval.chrom),
                                          int(interval.start - template_extension),
                                          int(interval.end + template_extension)):

                    if aln.is_unmapped:
                        continue

                    if aln.mapq < min_mapq:
                        continue

                    if aln.is_read2:
                        # only consider read1 so as not to double count
                        # fragments for paired end reads
                        # read2 will also be false for single end
                        # reads.
                        continue

                    if aln.is_paired:
                        # if paired end read, consider the midpoint
                        if not (aln.is_proper_pair and
                                aln.reference_name == aln.next_reference_name):
                            # only consider paired end reads if both mates
                            # are properly mapped and they map to the
                            # same reference_name
                            continue
                        # if the next reference start >= 0,
                        # the read is considered as a paired end read
                        # in this case we consider the mid point
                        if pairedend == 'midpoint':
                            pos = min(aln.reference_start,
                                      aln.next_reference_start) + \
                                      abs(aln.template_length) // 2
                        else:
                            if aln.is_reverse:
                                # last position of the downstream read
                                pos = max(aln.reference_end,
                                          aln.next_reference_start +
                                          aln.query_length)
                            else:
                                # first position of the upstream read
                                pos = min(aln.reference_start,
                                          aln.next_reference_start)
                    else:
                        # here we consider single end reads
                        # whose 5 prime end is determined strand specifically
                        if aln.is_reverse:
                            pos = aln.reference_end
                        else:
                            pos = aln.reference_start

                    if not garray._full_genome_stored:
                        # if we get here, a region was given,
                        # otherwise, the entire chromosome is read.
                        pos -= start + template_extension

                        if pos < 0 or pos >= length:
                            # if the read 5 p end or mid point is outside
                            # of the region of interest, the read is discarded
                            continue

                    # fill up the read strand specifically
                    if aln.is_reverse:
                        array[pos, 1] += 1
                    else:
                        array[pos, 0] += 1

                garray[interval, i] = array
            bar.next()
        bar.finish()
        return garray



class BigWigLoader:
    """BigWigLoader class.

    This class loads the GenomicArray with signal coverage
    extracted from BIGWIG files.

    Parameters
    ----------
    files : str or list(str)
        Bigwig file locations.
    gsize : GenomicIndexer
        GenomicIndexer representing the genomic region that should be loaded.
    nan_to_num : bool
        Whether to convert NAN's to zeros or not. Default: True.
    """
    def __init__(self, files, gsize, nan_to_num):
        self.files = files
        self.gsize = gsize
        self.nan_to_num = nan_to_num

    def __call__(self, garray):
        files = self.files
        gsize = self.gsize
        resolution = garray.resolution
        dtype = garray.typecode
        nan_to_num = self.nan_to_num

        bar = Bar('Loading bigwig files'.format(len(files)), max=len(files))
        for i, sample_file in enumerate(files):
            bwfile = pyBigWig.open(sample_file)

            for interval in gsize:

                if resolution is None:
                    length = interval.length
                else:
                    length = garray.get_iv_end(interval.end -
                                               interval.start) * resolution

                array = np.zeros((length, 1), dtype=dtype)

                values = np.asarray(bwfile.values(str(interval.chrom),
                                                  int(interval.start),
                                                  int(interval.end)))
                if nan_to_num:
                    values = np.nan_to_num(values, copy=False)

                array[:len(values), 0] = values

                garray[interval, i] = array
            bar.next()
        bar.finish()
        return garray


class BedLoader:
    """BedLoader class.

    This class loads the GenomicArray with signal coverage
    extracted from BED files.

    Parameters
    ----------
    files : str or list(str)
        Bed file locations.
    lazyloader : BedGenomicSizeLazyLoader
        BedGenomicSizeLazyLoader object.
    mode : str
        Mode might be 'binary', 'score' or 'categorical'.
    minoverlap : float or None
        Minimum fraction of overlap of a given feature with a roi bin.
        Default: None (already a single base-pair overlap is considered)
    """
    def __init__(self, files, lazyloader, mode, minoverlap):
        self.files = files
        self.lazyloader = lazyloader
        self.mode = mode
        self.minoverlap = minoverlap

    def __call__(self, garray):
        files = self.files
        dtype = garray.typecode
        # Gindexer contains all relevant intervals
        # We use the bedtools intersect method to
        # project the feature overlaps with the ROI intervals.
        gindexer = self.lazyloader.gindexer
        mode = self.mode

        tmpdir = tempfile.mkdtemp()
        predictable_filename = 'gindexerdump'
        tmpfilename = os.path.join(tmpdir, predictable_filename)

        gindexer.export_to_bed(tmpfilename)

        roifile = BedTool(tmpfilename)
        nfields_a = len(roifile[0].fields)

        bar = Bar('Loading bed files', max=len(files))
        for i, sample_file in enumerate(files):
            regions_ = _get_genomic_reader(sample_file)
            if regions_[0].score == '.' and mode in ['score',
                                                     'categorical']:
                raise ValueError(
                    'No Score available. Score field must '
                    'present in {}'.format(sample_file) + \
                    'for mode="{}"'.format(mode))

            nfields_b = len(regions_[0].fields)

            if self.minoverlap is not None:
                overlapping_regions = roifile.intersect(regions_,
                                                        wa=True, wb=True, f=self.minoverlap)
            else:
                overlapping_regions = roifile.intersect(regions_, wa=True, wb=True)

            for region in overlapping_regions:
                #region = overlapping_regions[ireg]

                # if region score is not defined, take the mere
                # presence of a range as positive label.

                score = int(region.fields[nfields_a + 4]) if mode == 'score' else 1
                array = np.repeat(np.dtype(dtype).type(score).reshape((1, 1)),
                                  region.length, axis=0)

                actual_start = int(region.fields[nfields_a + 1])
                actual_end = int(region.fields[nfields_a + 2])
                if region.start < actual_start:
                    # set the beginning of array to zero
                    array[:(actual_start - region.start), 0] = 0
                if region.end > actual_end:
                    # set the end of the array to zero
                    array[-(region.end - actual_end):, 0] = 0

                if mode == 'score':
                    garray[region, i] = array
                elif mode == 'categorical':
                    garray[region, score] = array
                elif mode == 'binary':
                    garray[region, i] = array
            bar.next()

        bar.finish()
        os.remove(tmpfilename)
        os.rmdir(tmpdir)

        return garray


class ArrayLoader:
    """ArrayLoader class.

    This class loads the GenomicArray with signal coverage
    extracted from a numpy array.

    Parameters
    ----------
    array : np.ndarray
        A numpy array that should be converted to a Cover object
    gindexer : GenomicIndexer
        A GenomicIndexer that holds the corresponding genomic intervals
        for the predictions in the array.
    """
    def __init__(self, array, gindexer):
        self.array = array
        self.gindexer = gindexer

    def __call__(self, garray):
        array = self.array
        gindexer = self.gindexer

        bar = Bar('Loading from array', max=len(gindexer))
        for i, region in enumerate(gindexer):
            interval = region
            new_item = array[i]
            if new_item.ndim < 3:
                garray[interval, :] = new_item[None, None, :]
            else:
                garray[interval, :] = new_item[:]
            bar.next()
        bar.finish()

        return garray


[docs]class Cover(Dataset): """Cover class. This datastructure holds coverage information across the genome. The coverage can conveniently fetched from a list of bam-files, bigwig-file, bed-files or gff-files. Parameters ----------- name : str Name of the dataset garray : :class:`GenomicArray` A genomic array that holds the coverage data gindexer : :class:`GenomicIndexer` or None A genomic indexer translates an integer index to a corresponding genomic coordinate. It can be None the genomic indexer is supplied later. """ _flank = None _gindexer = None def __init__(self, name, garray, gindexer, # indices of pointing to region start channel_last): self.garray = garray self.gindexer = gindexer self._channel_last = channel_last Dataset.__init__(self, name)
[docs] @classmethod def create_from_bam(cls, name, # pylint: disable=too-many-locals bamfiles, roi=None, genomesize=None, conditions=None, min_mapq=None, binsize=None, stepsize=None, flank=0, resolution=1, storage='ndarray', dtype='float32', stranded=True, overwrite=False, pairedend='5prime', template_extension=0, datatags=None, cache=False, channel_last=True, normalizer=None, zero_padding=True, random_state=None, store_whole_genome=False): """Create a Cover class from a bam-file (or files). This constructor can be used to obtain coverage from BAM files. For single-end reads the read will be counted at the 5 prime end. Paired-end reads can be counted relative to the 5 prime ends of the read (default) or with respect to the midpoint. Parameters ----------- name : str Name of the dataset bamfiles : str or list bam-file or list of bam files. roi : str or None Bed-file defining the region of interest. If set to None, the coverage will be fetched from the entire genome and a genomic indexer must be attached later. genomesize : dict or None Dictionary containing the genome size. If `genomesize=None`, the genome size is determined from the bam header. If `store_whole_genome=False`, this option does not have an effect. conditions : list(str) or None List of conditions. If `conditions=None`, the conditions are obtained from the filenames (without the directories and file-ending). min_mapq : int Minimal mapping quality. Reads with lower mapping quality are filtered out. If None, all reads are used. binsize : int or None Binsize in basepairs. For binsize=None, the binsize will be determined from the bed-file. If resolution is of type integer, this requires that all intervals in the bed-file are of equal length. If resolution is None, the intervals in the bed-file may be of variable size. Default: None. stepsize : int or None stepsize in basepairs for traversing the genome. If stepsize is None, it will be set equal to binsize. Default: None. flank : int Flanking size increases the interval size at both ends by flank base pairs. Default: 0 resolution : int or None If resolution represents an interger, it determines the base pairs resolution by which an interval should be divided. This requires equally sized bins or zero padding and effectively reduces the storage for coverage data. If resolution=None, the intervals will be represented by a collapsed summary score. For example, gene expression may be expressed by TPM in that manner. In the latter case, variable size intervals are permitted and zero padding does not have an effect. Default: 1. storage : str Storage mode for storing the coverage data can be 'ndarray', 'hdf5' or 'sparse'. Default: 'ndarray'. dtype : str Typecode to be used for storage the data. Default: 'int'. stranded : boolean Indicates whether to extract stranded or unstranded coverage. For unstranded coverage, reads aligning to both strands will be aggregated. overwrite : boolean Overwrite cachefiles. Default: False. datatags : list(str) or None List of datatags. Together with the dataset name, the datatags are used to construct a cache file. If :code:`cache=False`, this option does not have an effect. Default: None. pairedend : str Indicates whether to count reads at the '5prime' end or at the 'midpoint' for paired-end reads. Default: '5prime'. template_extension : int Elongates intervals by template_extension which allows to properly count template mid-points whose reads lie outside of the interval. This option is only relevant for paired-end reads counted at the 'midpoint' and if the coverage is not obtained from the whole genome, e.g. roi is not None. cache : boolean Indicates whether to cache the dataset. Default: False. channel_last : boolean Indicates whether the condition axis should be the last dimension or the first. For example, tensorflow expects the channel at the last position. Default: True. zero_padding : boolean Indicates if variable size intervals should be zero padded. Zero padding is only supported with a specified binsize. If zero padding is false, intervals shorter than binsize will be skipped. Default: True. normalizer : None, str or callable This option specifies the normalization that can be applied. If None, no normalization is applied. If 'zscore', 'zscorelog', 'rpkm' then zscore transformation, zscore transformation on log transformed data and rpkm normalization are performed, respectively. If callable, a function with signature `norm(garray)` should be provided that performs the normalization on the genomic array. Default: None. random_state : None or int random_state used to internally randomize the dataset. This option is best used when consuming data for training from an HDF5 file. Since random data access from HDF5 may be probibitively slow, this option allows to randomize the dataset during loading. In case an integer-valued random_state seed is supplied, make sure that all training datasets (e.g. input and output datasets) use the same random_state value so that the datasets are synchronized. Default: None means that no randomization is used. store_whole_genome : boolean Indicates whether the whole genome or only ROI should be loaded. If False, a bed-file with regions of interest must be specified. Default: False """ if overwrite: warnings.warn('overwrite=True is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if datatags is not None: warnings.warn('datatags is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if pysam is None: # pragma: no cover raise Exception('pysam not available. ' '`create_from_bam` requires pysam to be installed.') collapse = True if resolution is None else False if roi is not None: gindexer = GenomicIndexer.create_from_file(roi, binsize, stepsize, flank, zero_padding, collapse, random_state=random_state) else: gindexer = None check_resolution_compatibility(gindexer, resolution, store_whole_genome) if isinstance(bamfiles, str): bamfiles = [bamfiles] if conditions is None: conditions = [os.path.splitext(os.path.basename(f))[0] for f in bamfiles] if min_mapq is None: min_mapq = 0 full_genome_index = store_whole_genome if not full_genome_index and not gindexer: raise ValueError('Either roi must be supplied or store_whole_genome must be True') if not full_genome_index: # if whole genome should not be loaded gsize = gindexer else: # otherwise the whole genome will be fetched, or at least # a set of full length chromosomes if genomesize is not None: # if a genome size has specifically been given, use it. gsize = genomesize.copy() else: header = pysam.AlignmentFile(bamfiles[0], 'r') # pylint: disable=no-member gsize = {} for chrom, length in zip(header.references, header.lengths): gsize[chrom] = length gsize = GenomicIndexer.create_from_genomesize(gsize) bamloader = BamLoader(bamfiles, gsize, template_extension, min_mapq, pairedend) datatags = [name] if normalizer is None: normalizer = [] if not isinstance(normalizer, list): normalizer = [normalizer] if cache: files = copy.copy(bamfiles) parameters = [gsize.tostr(), min_mapq, resolution, storage, dtype, stranded, pairedend, zero_padding, store_whole_genome, version, random_state] if not store_whole_genome: files += [roi] parameters += [binsize, stepsize, flank, template_extension] if storage == 'hdf5': parameters += normalizer cache_hash = create_sha256_cache(files, parameters) else: cache_hash = None # At the moment, we treat the information contained # in each bw-file as unstranded cover = create_genomic_array(gsize, stranded=stranded, storage=storage, datatags=datatags, cache=cache_hash, conditions=conditions, overwrite=overwrite, typecode=dtype, store_whole_genome=store_whole_genome, resolution=resolution, loader=bamloader, normalizer=normalizer, collapser='sum') return cls(name, cover, gindexer, channel_last=channel_last)
[docs] @classmethod def create_from_bigwig(cls, name, # pylint: disable=too-many-locals bigwigfiles, roi=None, genomesize=None, conditions=None, binsize=None, stepsize=None, resolution=1, flank=0, storage='ndarray', dtype='float32', overwrite=False, datatags=None, cache=False, store_whole_genome=False, channel_last=True, zero_padding=True, normalizer=None, collapser=None, random_state=None, nan_to_num=True): """Create a Cover class from a bigwig-file (or files). Parameters ----------- name : str Name of the dataset bigwigfiles : str or list bigwig-file or list of bigwig files. roi : str or None Bed-file defining the region of interest. If set to None, the coverage will be fetched from the entire genome and a genomic indexer must be attached later. Otherwise, the coverage is only determined for the region of interest. genomesize : dict or None Dictionary containing the genome size. If `genomesize=None`, the genome size is determined from the bigwig file. If `store_whole_genome=False`, this option does not have an effect. conditions : list(str) or None List of conditions. If `conditions=None`, the conditions are obtained from the filenames (without the directories and file-ending). binsize : int or None Binsize in basepairs. For binsize=None, the binsize will be determined from the bed-file. If resolution is of type integer, this requires that all intervals in the bed-file are of equal length. If resolution is None, the intervals in the bed-file may be of variable size. Default: None. stepsize : int or None stepsize in basepairs for traversing the genome. If stepsize is None, it will be set equal to binsize. Default: None. resolution : int or None If resolution represents an interger, it determines the base pairs resolution by which an interval should be divided. This requires equally sized bins or zero padding and effectively reduces the storage for coverage data. If resolution=None, the intervals will be represented by a collapsed summary score. For example, gene expression may be expressed by TPM in that manner. In the latter case, variable size intervals are permitted and zero padding does not have an effect. Default: 1. flank : int Flanking size increases the interval size at both ends by flank bins. Note that the binsize is defined by the resolution parameter. Default: 0. storage : str Storage mode for storing the coverage data can be 'ndarray', 'hdf5' or 'sparse'. Default: 'ndarray'. dtype : str Typecode to define the datatype to be used for storage. Default: 'float32'. overwrite : boolean Overwrite cachefiles. Default: False. datatags : list(str) or None List of datatags. Together with the dataset name, the datatags are used to construct a cache file. If :code:`cache=False`, this option does not have an effect. Default: None. cache : boolean Indicates whether to cache the dataset. Default: False. store_whole_genome : boolean Indicates whether the whole genome or only ROI should be loaded. If False, a bed-file with regions of interest must be specified. Default: False. channel_last : boolean Indicates whether the condition axis should be the last dimension or the first. For example, tensorflow expects the channel at the last position. Default: True. zero_padding : boolean Indicates if variable size intervals should be zero padded. Zero padding is only supported with a specified binsize. If zero padding is false, intervals shorter than binsize will be skipped. Default: True. normalizer : None, str or callable This option specifies the normalization that can be applied. If None, no normalization is applied. If 'zscore', 'zscorelog', 'rpkm' then zscore transformation, zscore transformation on log transformed data and rpkm normalization are performed, respectively. If callable, a function with signature `norm(garray)` should be provided that performs the normalization on the genomic array. Default: None. collapser : None, str or callable This option defines how the genomic signal should be summarized when resolution is None or greater than one. It is possible to choose a number of options by name, including 'sum', 'mean', 'max'. In addtion, a function may be supplied that defines a custom aggregation method. If collapser is None, 'mean' aggregation will be used. Default: None. nan_to_num : boolean Indicates whether NaN values contained in the bigwig files should be interpreted as zeros. Default: True random_state : None or int random_state used to internally randomize the dataset. This option is best used when consuming data for training from an HDF5 file. Since random data access from HDF5 may be probibitively slow, this option allows to randomize the dataset during loading. In case an integer-valued random_state seed is supplied, make sure that all training datasets (e.g. input and output datasets) use the same random_state value so that the datasets are synchronized. Default: None means that no randomization is used. """ if overwrite: warnings.warn('overwrite=True is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if datatags is not None: warnings.warn('datatags is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if pyBigWig is None: # pragma: no cover raise Exception('pyBigWig not available. ' '`create_from_bigwig` requires pyBigWig to be installed.') collapse = True if resolution is None else False if roi is not None: gindexer = GenomicIndexer.create_from_file(roi, binsize, stepsize, flank, zero_padding, collapse, random_state=random_state) else: gindexer = None check_resolution_compatibility(gindexer, resolution, store_whole_genome) if isinstance(bigwigfiles, str): bigwigfiles = [bigwigfiles] if not store_whole_genome and not gindexer: raise ValueError('Either roi must be supplied or store_whole_genome must be True') if not store_whole_genome: # if whole genome should not be loaded gsize = gindexer else: # otherwise the whole genome will be fetched, or at least # a set of full length chromosomes if genomesize is not None: # if a genome size has specifically been given, use it. gsize = genomesize.copy() else: bwfile = pyBigWig.open(bigwigfiles[0], 'r') gsize = bwfile.chroms() gsize = GenomicIndexer.create_from_genomesize(gsize) if conditions is None: conditions = [os.path.splitext(os.path.basename(f))[0] \ for f in bigwigfiles] bigwigloader = BigWigLoader(bigwigfiles, gsize, nan_to_num) datatags = [name] collapser_ = collapser if collapser is not None else 'mean' if normalizer is None: normalizer = [] if not isinstance(normalizer, list): normalizer = [normalizer] if cache: files = copy.copy(bigwigfiles) parameters = [gsize.tostr(), resolution, storage, dtype, zero_padding, collapser.__name__ if hasattr(collapser, '__name__') else collapser, store_whole_genome, nan_to_num, version, random_state] if not store_whole_genome: files += [roi] parameters += [binsize, stepsize, flank] if storage == 'hdf5': parameters += normalizer cache_hash = create_sha256_cache(files, parameters) else: cache_hash = None cover = create_genomic_array(gsize, stranded=False, storage=storage, datatags=datatags, cache=cache_hash, conditions=conditions, overwrite=overwrite, resolution=resolution, store_whole_genome=store_whole_genome, typecode=dtype, loader=bigwigloader, collapser=collapser_, normalizer=normalizer) return cls(name, cover, gindexer, channel_last=channel_last)
[docs] @classmethod def create_from_bed(cls, name, # pylint: disable=too-many-locals bedfiles, roi=None, genomesize=None, conditions=None, binsize=None, stepsize=None, resolution=1, flank=0, storage='ndarray', dtype='float32', mode='binary', store_whole_genome=False, overwrite=False, channel_last=True, zero_padding=True, normalizer=None, collapser=None, minoverlap=None, random_state=None, datatags=None, cache=False): """Create a Cover class from a bed-file (or files). Parameters ----------- name : str Name of the dataset bedfiles : str or list bed-file or list of bed files. roi : str or None Bed-file defining the region of interest. If set to None a genomesize must be supplied and a genomic indexer must be attached later. genomesize : dict or None Dictionary containing the genome size to fetch the coverage from. If `genomesize=None`, the genome size is fetched from the region of interest. conditions : list(str) or None List of conditions. If `conditions=None`, the conditions are obtained from the filenames (without the directories and file-ending). binsize : int or None Binsize in basepairs. For binsize=None, the binsize will be determined from the bed-file. If resolution is of type integer, this requires that all intervals in the bed-file are of equal length. If resolution is None, the intervals in the bed-file may be of variable size. Default: None. stepsize : int or None stepsize in basepairs for traversing the genome. If stepsize is None, it will be set equal to binsize. Default: None. resolution : int or None If resolution represents an interger, it determines the base pairs resolution by which an interval should be divided. This requires equally sized bins or zero padding and effectively reduces the storage for coverage data. If resolution=None, the intervals will be represented by a collapsed summary score. For example, gene expression may be expressed by TPM in that manner. In the latter case, variable size intervals are permitted and zero padding does not have an effect. Default: 1. flank : int Flanking size increases the interval size at both ends by flank bins. Note that the binsize is defined by the resolution parameter. Default: 0. storage : str Storage mode for storing the coverage data can be 'ndarray', 'hdf5' or 'sparse'. Default: 'ndarray'. dtype : str Typecode to define the datatype to be used for storage. Default: 'int'. mode : str Mode of the dataset may be 'binary', 'score' or 'categorical'. Default: 'binary'. overwrite : boolean Overwrite cachefiles. Default: False. datatags : list(str) or None List of datatags. Together with the dataset name, the datatags are used to construct a cache file. If :code:`cache=False`, this option does not have an effect. Default: None. store_whole_genome : boolean Indicates whether the whole genome or only ROI should be loaded. If False, a bed-file with regions of interest must be specified. Default: False. channel_last : boolean Indicates whether the condition axis should be the last dimension or the first. For example, tensorflow expects the channel at the last position. Default: True. zero_padding : boolean Indicates if variable size intervals should be zero padded. Zero padding is only supported with a specified binsize. If zero padding is false, intervals shorter than binsize will be skipped. Default: True. normalizer : None, str or callable This option specifies the normalization that can be applied. If None, no normalization is applied. If 'zscore', 'zscorelog', 'tpm' then zscore transformation, zscore transformation on log transformed data and rpkm normalization are performed, respectively. If callable, a function with signature `norm(garray)` should be provided that performs the normalization on the genomic array. Default: None. collapser : None, str or callable This option defines how the genomic signal should be summarized when resolution is None or greater than one. It is possible to choose a number of options by name, including 'sum', 'mean', 'max'. In addtion, a function may be supplied that defines a custom aggregation method. If collapser is None, 'max' aggregation will be used. Default: None. minoverlap : float or None Minimum fraction of overlap of a given feature with a ROI bin. If None, any overlap (e.g. a single base-pair overlap) is considered as overlap. Default: None cache : boolean Indicates whether to cache the dataset. Default: False. random_state : None or int random_state used to internally randomize the dataset. This option is best used when consuming data for training from an HDF5 file. Since random data access from HDF5 may be probibitively slow, this option allows to randomize the dataset during loading. In case an integer-valued random_state seed is supplied, make sure that all training datasets (e.g. input and output datasets) use the same random_state value so that the datasets are synchronized. Default: None means that no randomization is used. """ if overwrite: warnings.warn('overwrite=True is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if datatags is not None: warnings.warn('datatags is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if roi is None and genomesize is None: raise ValueError('Either roi or genomesize must be specified.') collapse = True if resolution is None else False if roi is not None: gindexer = GenomicIndexer.create_from_file(roi, binsize, stepsize, flank, zero_padding, collapse, random_state=random_state) binsize = gindexer.binsize else: gindexer = None check_resolution_compatibility(gindexer, resolution, store_whole_genome) if isinstance(bedfiles, str): bedfiles = [bedfiles] gsize = BedGenomicSizeLazyLoader(bedfiles, store_whole_genome, gindexer, genomesize, binsize, stepsize, flank) if mode == 'categorical': if len(bedfiles) > 1: raise ValueError('Only one bed-file is ' 'allowed with mode=categorical') sample_file = bedfiles[0] regions_ = _get_genomic_reader(sample_file) max_class = 0 for reg in regions_: if int(reg.score) > max_class: max_class = int(reg.score) if conditions is None: conditions = [str(i) for i in range(int(max_class + 1))] if conditions is None: conditions = [os.path.splitext(os.path.basename(f))[0] for f in bedfiles] bedloader = BedLoader(bedfiles, gsize, mode, minoverlap) # At the moment, we treat the information contained # in each bed-file as unstranded datatags = [name] collapser_ = collapser if collapser is not None else 'max' if normalizer is None: normalizer = [] if not isinstance(normalizer, list): normalizer = [normalizer] if cache: files = copy.copy(bedfiles) parameters = [gsize.tostr(), resolution, storage, dtype, zero_padding, mode, collapser.__name__ if hasattr(collapser, '__name__') else collapser, store_whole_genome, version, minoverlap, random_state] # Because different binsizes may affect loading e.g. if a min overlap is required. parameters += [binsize, stepsize, flank] if not store_whole_genome: files += [roi] if storage == 'hdf5': parameters += normalizer cache_hash = create_sha256_cache(files, parameters) else: cache_hash = None cover = create_genomic_array(gsize, stranded=False, storage=storage, datatags=datatags, cache=cache_hash, conditions=conditions, resolution=resolution, overwrite=overwrite, typecode=dtype, store_whole_genome=store_whole_genome, loader=bedloader, collapser=collapser_, normalizer=normalizer) return cls(name, cover, gindexer, channel_last=channel_last)
[docs] @classmethod def create_from_array(cls, name, # pylint: disable=too-many-locals array, gindexer, genomesize=None, conditions=None, storage='ndarray', overwrite=False, cache=False, datatags=None, channel_last=True, padding_value=0.0, store_whole_genome=False): """Create a Cover class from a numpy.array. The purpose of this function is to convert output prediction from keras which are in numpy.array format into a Cover object. Parameters ----------- name : str Name of the dataset array : numpy.array A 4D numpy array that will be re-interpreted as genomic array. gindexer : GenomicIndexer Genomic indices associated with the values contained in array. genomesize : dict or None Dictionary containing the genome size to fetch the coverage from. If `genomesize=None`, the genome size is automatically determined from the GenomicIndexer. If `store_whole_genome=False` this option does not have an effect. conditions : list(str) or None List of conditions. If `conditions=None`, the conditions are obtained from the filenames (without the directories and file-ending). storage : str Storage mode for storing the coverage data can be 'ndarray', 'hdf5' or 'sparse'. Default: 'ndarray'. overwrite : boolean Overwrite cachefiles. Default: False. datatags : list(str) or None List of datatags. Together with the dataset name, the datatags are used to construct a cache file. If :code:`cache=False`, this option does not have an effect. Default: None. store_whole_genome : boolean Indicates whether the whole genome or only ROI should be loaded. Default: False. padding_value : float Padding value. Default: 0. channel_last : boolean This tells the constructor how to interpret the array dimensions. It indicates whether the condition axis is the last dimension or the first. For example, tensorflow expects the channel at the last position. Default: True. """ if overwrite: warnings.warn('overwrite=True is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if datatags is not None: warnings.warn('datatags is without effect ' 'due to revised caching functionality.' 'The argument will be removed in the future.', FutureWarning) if not store_whole_genome: # if whole genome should not be loaded gsize = gindexer elif genomesize: gsize = genomesize.copy() gsize = GenomicIndexer.create_from_genomesize(gsize) else: # if not supplied, determine the genome size automatically # based on the gindexer intervals. gsize = get_genome_size_from_regions(gindexer) gsize = GenomicIndexer.create_from_genomesize(gsize) if not channel_last: array = np.transpose(array, (0, 3, 1, 2)) if conditions is None: conditions = ["Cond_{}".format(i) for i in range(array.shape[-1])] # check if dimensions of gindexer and array match if len(gindexer) != array.shape[0]: raise ValueError("Data incompatible: " "The number intervals in gindexer" " must match the number of datapoints in " "the array (len(gindexer)={} != array.shape[0]={})". format(len(gindexer), array.shape[0])) if store_whole_genome: # in this case the intervals must be non-overlapping # in order to obtain unambiguous data. if gindexer.binsize > gindexer.stepsize: raise ValueError("Overlapping intervals: With overlapping " "intervals the mapping between the array and " "genomic-array values is ambiguous. " "Please ensure that binsize <= stepsize.") # determine the resolution if gindexer.binsize is None: # binsize will not be set if gindexer was loaded in collapse mode resolution = None else: resolution = max(1, gindexer.binsize // array.shape[1]) # determine strandedness stranded = True if array.ndim == 3 and array.shape[2] == 2 else False arrayloader = ArrayLoader(array, gindexer) # At the moment, we treat the information contained # in each bw-file as unstranded datatags = [name] # define a dummy collapser def _dummy_collapser(values): # should be 3D # seqlen, resolution, strand return values[:, 0, :] if cache: files = [array] parameters = [genomesize, gindexer.binsize, resolution, storage, stranded, _dummy_collapser.__name__, version, store_whole_genome] + [str(reg_) for reg_ in gindexer] cache_hash = create_sha256_cache(files, parameters) else: cache_hash = None cover = create_genomic_array(gsize, stranded=stranded, storage=storage, datatags=datatags, cache=cache_hash, conditions=conditions, resolution=resolution, overwrite=overwrite, typecode=array.dtype, store_whole_genome=store_whole_genome, loader=arrayloader, padding_value=padding_value, collapser=_dummy_collapser) return cls(name, cover, gindexer, channel_last=channel_last)
@property def gindexer(self): """GenomicIndexer property""" if self._gindexer is None: raise ValueError('GenomicIndexer has not been set yet. Please specify an indexer.') return self._gindexer @gindexer.setter def gindexer(self, gindexer): self._gindexer = gindexer def __repr__(self): # pragma: no cover return "Cover('{}')".format(self.name) def __getitem__(self, idxs): if isinstance(idxs, tuple): if len(idxs) == 3: idxs = Interval(*idxs) else: idxs = Interval(*idxs[:-1], strand=idxs[-1]) if isinstance(idxs, int): idxs = [idxs] elif isinstance(idxs, slice): idxs = range(idxs.start if idxs.start else 0, idxs.stop if idxs.stop else len(self), idxs.step if idxs.step else 1) elif isinstance(idxs, Interval): if self.garray._full_genome_stored: # accept a genomic interval directly data = self._getsingleitem(idxs) data = data.reshape((1,) + data.shape) else: chrom = str(idxs.chrom) start = idxs.start end = idxs.end strand = str(idxs.strand) gindexer_new = self.gindexer.filter_by_region(include=chrom, start=start, end=end) if self.garray.padding_value == 0.0: data = np.zeros((1, (end - start)) + self.shape[2:]) else: data = np.ones((1, (end - start)) + self.shape[2:]) * self.garray.padding_value for interval in gindexer_new: tmp_data = np.array(self._getsingleitem(interval)) tmp_data = tmp_data.reshape((1,) + tmp_data.shape) if interval.strand == '-': # invert the data so that is again relative # to the positive strand, # this avoids having to change the rel_pos computation tmp_data = tmp_data[:, ::-1, ::-1, :] #determine upsampling factor # so both tmp_data and data represent signals on # nucleotide resolution factor = interval.length // tmp_data.shape[1] tmp_data = tmp_data.repeat(factor, axis=1) if start - interval.start > 0: tmp_start = start - interval.start ref_start = 0 else: tmp_start = 0 ref_start = interval.start - start if interval.end - end > 0: tmp_end = tmp_data.shape[1] - (interval.end - end) ref_end = data.shape[1] else: tmp_end = tmp_data.shape[1] ref_end = data.shape[1] - (end - interval.end) data[:, ref_start:ref_end, :, :] = \ tmp_data[:, tmp_start:tmp_end, :, :] # issue with different resolution # it might not be optimal to return the data on a base-pair # resolution scale. If the user has loaded the array with resolution > 1 # it might be expected to be applied to the returned dataset as well. # however, when store_whole_genome=False, resolution may also # be None. In this case, it is much more easy to project the variable # size intervals onto a common reference. # # A compromise for the future would be to apply downscaling # if resolution is > 1. But then also the dataset must be resized and reshaped. # We leave this change for the future, if it seems to matter. if strand == '-': # invert it back relative to minus strand data = data[:, ::-1, ::-1, :] if not self._channel_last: data = np.transpose(data, (0, 3, 1, 2)) return data try: iter(idxs) except TypeError: raise IndexError('Cover.__getitem__: index must be iterable') data = np.zeros((len(idxs),) + self.shape_static[1:]) for i, idx in enumerate(idxs): interval = self.gindexer[idx] dat = self._getsingleitem(interval) data[i, :len(dat), :, :] = dat if not self._channel_last: data = np.transpose(data, (0, 3, 1, 2)) return data def _getsingleitem(self, pinterval): if pinterval.strand == '-': data = np.asarray(self.garray[pinterval])[::-1, ::-1, :] else: data = np.asarray(self.garray[pinterval]) return data def __len__(self): return len(self.gindexer) @property def shape(self): """Shape of the dataset""" if self._channel_last: return self.shape_static return tuple(self.shape_static[x] for x in [0, 3, 1, 2]) @property def shape_static(self): """Shape of the dataset""" stranded = (2 if self.garray.stranded else 1, ) if self.garray.resolution is not None: seqdims = (int(np.ceil((self.gindexer.binsize + \ 2*self.gindexer.flank)/self.garray.resolution)),) else: seqdims = (1,) return (len(self),) + seqdims + stranded + (len(self.garray.condition),) @property def ndim(self): # pragma: no cover """ndim""" return len(self.shape) @property def conditions(self): """Conditions""" return self.garray.condition def export_to_bigwig(self, output_dir, genomesize=None): """ This method exports the coverage as bigwigs. This allows to use a standard genome browser to explore the predictions or features derived from a neural network. The bigwig files are named after the container name and the condition names. NOTE: This function expects that the regions that need to be exported are non-overlapping. That is the gindexer binsize must be smaller or equal than stepsize. Parameters ---------- output_dir : str Output directory to which the bigwig files will be exported to. genomesize : dict or None Dictionary containing the genome size. If `genomesize=None`, the genome size is determined from the gindexer if `store_whole_genome=False`, or from the garray-size of `store_whole_genome=True`. """ if pyBigWig is None: # pragma: no cover raise Exception('pyBigWig not available. ' '`export_to_bigwig` requires pyBigWig to be installed.') resolution = self.garray.resolution if genomesize is not None: gsize = genomesize elif self.garray._full_genome_stored: gsize = {k: self.garray.handle[k].shape[0] * resolution \ for k in self.garray.handle} else: gsize = get_genome_size_from_regions(self.gindexer) bw_header = [(str(chrom), gsize[chrom]) for chrom in gsize] for idx, condition in enumerate(self.conditions): bw_file = pyBigWig.open(os.path.join( output_dir, '{name}.{condition}.bigwig'.format( name=self.name, condition=condition)), 'w') bw_file.addHeader(bw_header) # we need to add data to the bigwig file handle # in the same order as given by bw_header. # therefore, we process each chromosome in order below for chrom, _ in bw_header: idxs = self.gindexer.idx_by_region(include=chrom) for ridx in idxs: region = self.gindexer[int(ridx)] cov = self[int(ridx)][0, :, :, idx].sum(axis=1).tolist() bw_file.addEntries(str(region.chrom), int(region.start), values=cov, span=int(resolution), step=int(resolution)) bw_file.close()
[docs]def plotGenomeTrack(tracks, chrom, start, end, figsize=(10, 5), plottypes=None): """plotGenomeTrack shows plots of a specific interval from cover objects data. It takes one or more cover objects as well as a genomic interval consisting of chromosome name, start and end and creates a genome browser-like plot. Parameters ---------- tracks : janggu.data.Cover, list(Cover), janggu.data.Track or list(Track) One or more track objects. chrom : str chromosome name. start : int The start of the required interval. end : int The end of the required interval. figsize : tuple(int, int) Figure size passed on to matplotlib. plottype : None or list(str) Plot type indicates whether to plot coverage tracks as line plots, heatmap, or seqplot using 'line' or 'heatmap', respectively. By default, all coverage objects are depicted as line plots if plottype=None. Otherwise, a list of types must be supplied containing the plot types for each coverage object explicitly. For example, ['line', 'heatmap', 'seqplot']. While, 'line' and 'heatmap' can be used for any type of coverage data, 'seqplot' is reserved to plot sequence influence on the output. It is intended to be used in conjunction with 'input_attribution' method which determines the importance of paricular sequence letters for the output prediction. Returns ------- matplotlib Figure A matplotlib figure illustrating the genome browser-view of the coverage objects for the given interval. To depict and save the figure the native matplotlib functions show() and savefig() can be used. """ if not isinstance(tracks, list): tracks = [tracks] for track in tracks: if not isinstance(track, Track): warnings.warn('Convert the Dataset object to proper Track objects.' ' In the future, only Track objects will be supported.', FutureWarning) if plottypes is None: plottypes = ['line'] * len(tracks) assert len(plottypes) == len(tracks), \ "The number of cover objects must be the same as the number of plottyes." break def _convert_to_track(cover, plottype): if plottype == 'heatmap': track = HeatTrack(cover) elif plottype == 'seqplot': track = SeqTrack(cover) else: track = LineTrack(cover) return track tracks_ = [] for itrack, track in enumerate(tracks): if isinstance(track, Track): tracks_.append(track) else: warnings.warn('Convert the Dataset object to proper Track objects.' ' In the future, only Track objects will be supported.', FutureWarning) tracks_.append(_convert_to_track(track, plottypes[itrack])) tracks = tracks_ headertrack = 2 trackheights = 0 for track in tracks: trackheights += track.height spacer = len(tracks) - 1 grid = plt.GridSpec(headertrack + trackheights + spacer, 10, wspace=0.4, hspace=0.3) fig = plt.figure(figsize=figsize) # title and reference track title = fig.add_subplot(grid[0, 1:]) title.set_title(chrom) plt.xlim([0, end - start]) title.spines['right'].set_visible(False) title.spines['top'].set_visible(False) title.spines['left'].set_visible(False) plt.xticks([0, end-start], [start, end]) plt.yticks(()) y_offset = 1 for j, track in enumerate(tracks): y_offset += 1 track.add_side_bar(fig, grid, y_offset) track.plot(fig, grid, y_offset, chrom, start, end) y_offset += track.height return (fig)
[docs]class Track(object): """General track Parameters ---------- data : Cover object Coverage object height : int Track height. """ def __init__(self, data, height): self.height = height self.data = data @property def name(self): return self.data.name def add_side_bar(self, fig, grid, offset): # side bar indicator for current cover ax = fig.add_subplot(grid[(offset): (offset + self.height), 0]) ax.set_xticks(()) ax.spines['right'].set_visible(False) ax.spines['top'].set_visible(False) ax.spines['bottom'].set_visible(False) ax.set_yticks([0.5]) ax.set_yticklabels([self.name]) def get_track_axis(self, fig, grid, offset, height): return fig.add_subplot(grid[offset:(offset + height), 1:]) def get_data(self, chrom, start, end): return self.data[chrom, start, end][0, :, :, :]
[docs]class LineTrack(Track): """Line track Visualizes genomic data as line plot. Parameters ---------- data : Cover object Coverage object height : int Track height. Default=3 """ def __init__(self, data, height=3, linestyle='-', marker='o', color='b', linewidth=2): super(LineTrack, self).__init__(data, height) self.height = height * len(data.conditions) self.linestyle = linestyle self.linewidth = linewidth self.marker = marker self.color = color def plot(self, fig, grid, offset, chrom, start, end): coverage = self.get_data(chrom, start, end) offset_ = offset trackheight = self.height//len(self.data.conditions) def _get_xy(cov): xvalue = np.where(np.isfinite(cov))[0] yvalue = cov[xvalue] return xvalue, yvalue for i, condition in enumerate(self.data.conditions): ax = self.get_track_axis(fig, grid, offset_, trackheight) offset_ += trackheight if coverage.shape[-2] == 2: #both strands are covered separately xvalue, yvalue = _get_xy(coverage[:, 0, i]) ax.plot(xvalue, yvalue, linewidth=self.linewidth, linestyle=self.linestyle, color=self.color, label="+", marker=self.marker) xvalue, yvalue = _get_xy(coverage[:, 1, i]) ax.plot(xvalue, yvalue, linewidth=self.linewidth, linestyle=self.linestyle, color=self.color, label="-", marker=self.marker) ax.legend() else: xvalue, yvalue = _get_xy(coverage[:, 0, i]) ax.plot(xvalue, yvalue, linewidth=self.linewidth, color=self.color, linestyle=self.linestyle, marker=self.marker) ax.set_yticks(()) ax.set_xticks(()) ax.set_xlim([0, end-start]) if len(self.data.conditions) > 1: ax.set_ylabel(condition, labelpad=12) ax.spines['right'].set_visible(False) ax.spines['top'].set_visible(False)
[docs]class SeqTrack(Track): """Sequence Track Visualizes sequence importance. Parameters ---------- data : Cover object Coverage object height : int Track height. Default=3 """ def __init__(self, data, height=3): super(SeqTrack, self).__init__(data, height) def plot(self, fig, grid, offset, chrom, start, end): # check if coverage represents dna if len(self.data.conditions) % len(NMAP) == 0: alphabetsize = len(NMAP) MAP = NMAP elif len(self.data.conditions) % len(PMAP) == 0: # pragma: no cover alphabetsize = len(PMAP) MAP = PMAP else: # pragma: no cover raise ValueError( "Coverage tracks seems not represent biological sequences. " "The last dimension must be divisible by the alphabetsize.") for cond in self.data.conditions: if cond[0] not in MAP: raise ValueError( "Coverage tracks seems not represent biological sequences. " "Condition names must represent the alphabet letters.") coverage = self.get_data(chrom, start, end) coverage = coverage.reshape(coverage.shape[0], -1) coverage = coverage.reshape(coverage.shape[:-1] + (alphabetsize, int(coverage.shape[-1]/alphabetsize))) coverage = coverage.sum(-1) ax = self.get_track_axis(fig, grid, offset, self.height) x = np.arange(coverage.shape[0]) y_figure_offset = np.zeros(coverage.shape[0]) handles = [] for letter in MAP: handles.append(ax.bar(x, coverage[:, MAP[letter]], bottom=y_figure_offset, color=sns.color_palette("hls", len(MAP))[MAP[letter]], label=letter)) y_figure_offset += coverage[:, MAP[letter]] ax.legend(handles=handles) ax.set_yticklabels(()) ax.set_yticks(()) ax.set_xticks(()) ax.set_xlim([0, end-start])
[docs]class HeatTrack(Track): """Heatmap Track Visualizes genomic data as heatmap. Parameters ---------- data : Cover object Coverage object height : int Track height. Default=3 """ def __init__(self, data, height=3): super(HeatTrack, self).__init__(data, height) def plot(self, fig, grid, offset, chrom, start, end): ax = self.get_track_axis(fig, grid, offset, self.height) coverage = self.get_data(chrom, start, end) im = ax.pcolor(coverage.reshape(coverage.shape[0], -1).T) if coverage.shape[-2] == 2: ticks = [':'.join([x, y]) for y, x \ in product(['+', '-'], self.data.conditions)] else: ticks = self.data.conditions ax.set_yticklabels(ticks) ax.set_xticks(()) ax.set_yticks(np.arange(0, len(ticks) + 1, 1.0)) ax.set_xlim([0, end-start])