Source code for hail.linalg.utils.misc

import numpy as np

import hail as hl
from hail.typecheck import *
from hail.expr.expressions import expr_locus, expr_float64, check_row_indexed


[docs]@typecheck(a=np.ndarray, radius=oneof(int, float)) def array_windows(a, radius): """Returns start and stop indices for window around each array value. Examples -------- >>> hl.linalg.utils.array_windows(np.array([1, 2, 4, 4, 6, 8]), 2) (array([0, 0, 1, 1, 2, 4]), array([2, 4, 5, 5, 6, 6])) >>> hl.linalg.utils.array_windows(np.array([-10.0, -2.5, 0.0, 0.0, 1.2, 2.3, 3.0]), 2.5) (array([0, 1, 1, 1, 2, 2, 4]), array([1, 4, 6, 6, 7, 7, 7])) Notes ----- For an array ``a`` in ascending order, the resulting ``starts`` and ``stops`` arrays have the same length as ``a`` and the property that, for all indices ``i``, ``[starts[i], stops[i])`` is the maximal range of indices ``j`` such that ``a[i] - radius <= a[j] <= a[i] + radius``. Index ranges are start-inclusive and stop-exclusive. This function is especially useful in conjunction with :meth:`.BlockMatrix.sparsify_row_intervals`. Parameters ---------- a: :obj:`ndarray` of signed integer or float values 1-dimensional array of values, non-decreasing with respect to index. radius: :obj:`float` Non-negative radius of window for values. Returns ------- (:class:`ndarray` of :obj:`int64`, :class:`ndarray` of :obj:`int64`) Tuple of start indices array and stop indices array. """ if radius < 0: raise ValueError(f'array_windows: radius must be non-negative, found {radius}') if a.ndim != 1: raise ValueError("array_windows: 'a' must be 1-dimensional") if not (np.issubdtype(a.dtype, np.signedinteger) or np.issubdtype(a.dtype, np.floating)): raise ValueError(f"array_windows: 'a' must be an ndarray of signed integer or float values, " f"found dtype {str(a.dtype)}") size = a.size if size == 0: return np.zeros(shape=0, dtype=np.int64), np.zeros(shape=0, dtype=np.int64) if (not np.all(a[:-1] <= a[1:])) or np.isnan(a[0]): raise ValueError("array_windows: 'a' must be in ascending order with no nan elements") if a[0] - radius > a[0]: raise ValueError('array_windows: underflow for a[0] - radius') if a[-1] + radius < a[-1]: raise ValueError('array_windows: overflow for a[-1] + radius') starts, stops = np.zeros(size, dtype=np.int64), np.zeros(size, dtype=np.int64) j, k = 0, 0 for i in range(size): min_val = a[i] - radius while j < size and a[j] < min_val: j += 1 starts[i] = j max_val = a[i] + radius while k < size and a[k] <= max_val: k += 1 stops[i] = k
return starts, stops
[docs]@typecheck(locus_expr=expr_locus(), radius=oneof(int, float), coord_expr=nullable(expr_float64)) def locus_windows(locus_expr, radius, coord_expr=None): """Returns start and stop indices for window around each locus. Examples -------- Windows with 2bp radius for one contig with positions 1, 2, 3, 4, 5: >>> starts, stops = hl.linalg.utils.locus_windows( ... hl.balding_nichols_model(1, 5, 5).locus, ... radius=2) >>> starts, stops (array([0, 0, 0, 1, 2]), array([3, 4, 5, 5, 5])) The following examples involve three contigs. >>> loci = [{'locus': hl.Locus('1', 1), 'cm': 1.0}, ... {'locus': hl.Locus('1', 2), 'cm': 3.0}, ... {'locus': hl.Locus('1', 4), 'cm': 4.0}, ... {'locus': hl.Locus('2', 1), 'cm': 2.0}, ... {'locus': hl.Locus('2', 1), 'cm': 2.0}, ... {'locus': hl.Locus('3', 3), 'cm': 5.0}] >>> ht = hl.Table.parallelize( ... loci, ... hl.tstruct(locus=hl.tlocus('GRCh37'), cm=hl.tfloat64), ... key=['locus']) Windows with 1bp radius: >>> hl.linalg.utils.locus_windows(ht.locus, 1) (array([0, 0, 2, 3, 3, 5]), array([2, 2, 3, 5, 5, 6])) Windows with 1cm radius: >>> hl.linalg.utils.locus_windows(ht.locus, 1.0, coord_expr=ht.cm) (array([0, 1, 1, 3, 3, 5]), array([1, 3, 3, 5, 5, 6])) Notes ----- This function returns two 1-dimensional ndarrays of integers, ``starts`` and ``stops``, each of size equal to the number of rows. By default, for all indices ``i``, ``[starts[i], stops[i])`` is the maximal range of row indices ``j`` such that ``contig[i] == contig[j]`` and ``position[i] - radius <= position[j] <= position[i] + radius``. If the :meth:`.global_position` on `locus_expr` is not in ascending order, this method will fail. Ascending order should hold for a matrix table keyed by locus or variant (and the associated row table), or for a table that's been ordered by `locus_expr`. Set `coord_expr` to use a value other than position to define the windows. This row-indexed numeric expression must be non-missing, non-``nan``, on the same source as `locus_expr`, and ascending with respect to locus position for each contig; otherwise the function will fail. The last example above uses centimorgan coordinates, so ``[starts[i], stops[i])`` is the maximal range of row indices ``j`` such that ``contig[i] == contig[j]`` and ``cm[i] - radius <= cm[j] <= cm[i] + radius``. Index ranges are start-inclusive and stop-exclusive. This function is especially useful in conjunction with :meth:`.BlockMatrix.sparsify_row_intervals`. Parameters ---------- locus_expr : :class:`.LocusExpression` Row-indexed locus expression on a table or matrix table. radius: :obj:`int` Radius of window for row values. coord_expr: :class:`.Float64Expression`, optional Row-indexed numeric expression for the row value. Must be on the same table or matrix table as `locus_expr`. By default, the row value is given by the locus position. Returns ------- (:class:`ndarray` of :obj:`int64`, :class:`ndarray` of :obj:`int64`) Tuple of start indices array and stop indices array. """ if radius < 0: raise ValueError(f"locus_windows: 'radius' must be non-negative, found {radius}") check_row_indexed('locus_windows', locus_expr) if coord_expr is None: global_pos_list = locus_expr.global_position().collect() n_loci = len(global_pos_list) global_pos = np.zeros(n_loci, dtype=np.int64) for i, p in enumerate(global_pos_list): if p is None: raise ValueError(f"locus_windows: missing value for 'locus_expr' global position at row {i}") global_pos[i] = p coord = global_pos del global_pos_list else: check_row_indexed('locus_windows', coord_expr) global_pos_and_coord =\ hl.tuple([locus_expr.global_position(), coord_expr]).collect() # raises exception if sources differ n_loci = len(global_pos_and_coord) global_pos = np.zeros(n_loci, dtype=np.int64) coord = np.zeros(n_loci, dtype=np.float64) for i, x in enumerate(global_pos_and_coord): if x[0] is None: raise ValueError(f"locus_windows: missing value for 'locus_expr' global position at row {i}") global_pos[i] = x[0] if x[1] is None: raise ValueError(f"locus_windows: missing value for 'coord_expr' at row {i}") coord[i] = x[1] del global_pos_and_coord if n_loci == 0: return np.zeros(shape=0, dtype=np.int64), np.zeros(shape=0, dtype=np.int64) contig_name = locus_expr.dtype.reference_genome.contigs contig_len = locus_expr.dtype.reference_genome.lengths contig_cum_len = np.cumsum([contig_len[name] for name in contig_name]) assert(global_pos[-1] < contig_cum_len[-1]) contig_start_idx = _compute_contig_start_idx(global_pos, contig_cum_len) n_contigs = len(contig_start_idx) contig_start_idx.append(n_loci) contig_bounds = [array_windows(coord[contig_start_idx[c]:contig_start_idx[c + 1]], radius) for c in range(n_contigs)] starts = np.concatenate([contig_start_idx[c] + contig_bounds[c][0] for c in range(n_contigs)]) stops = np.concatenate([contig_start_idx[c] + contig_bounds[c][1] for c in range(n_contigs)])
return starts, stops def _compute_contig_start_idx(global_pos, contig_cum_len): last = global_pos[0] contig_start_idx = [0] cum_len_iter = iter(contig_cum_len) cum_len = next(cum_len_iter) for i in range(len(global_pos)): curr = global_pos[i] if curr < last: raise ValueError("locus_windows: 'locus_expr' global position must be in ascending order") while curr >= cum_len: contig_start_idx.append(i) cum_len = next(cum_len_iter) last = curr return contig_start_idx