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"""Array printing function $Id: arrayprint.py,v 1.9 2005/09/13 13:58:44 teoliphant Exp $ """ from __future__ import division, absolute_import, print_function __all__ = ["array2string", "set_printoptions", "get_printoptions"] __docformat__ = 'restructuredtext' # # Written by Konrad Hinsen <hinsenk@ere.umontreal.ca> # last revision: 1996-3-13 # modified by Jim Hugunin 1997-3-3 for repr's and str's (and other details) # and by Perry Greenfield 2000-4-1 for numarray # and by Travis Oliphant 2005-8-22 for numpy import sys import functools if sys.version_info[0] >= 3: try: from _thread import get_ident except ImportError: from _dummy_thread import get_ident else: try: from thread import get_ident except ImportError: from dummy_thread import get_ident from . import numerictypes as _nt from .umath import maximum, minimum, absolute, not_equal, isnan, isinf from .multiarray import (array, format_longfloat, datetime_as_string, datetime_data, dtype) from .fromnumeric import ravel from .numeric import asarray if sys.version_info[0] >= 3: _MAXINT = sys.maxsize _MININT = -sys.maxsize - 1 else: _MAXINT = sys.maxint _MININT = -sys.maxint - 1 def product(x, y): return x*y _summaryEdgeItems = 3 # repr N leading and trailing items of each dimension _summaryThreshold = 1000 # total items > triggers array summarization _float_output_precision = 8 _float_output_suppress_small = False _line_width = 75 _nan_str = 'nan' _inf_str = 'inf' _formatter = None # formatting function for array elements def set_printoptions(precision=None, threshold=None, edgeitems=None, linewidth=None, suppress=None, nanstr=None, infstr=None, formatter=None): """ Set printing options. These options determine the way floating point numbers, arrays and other NumPy objects are displayed. Parameters ---------- precision : int, optional Number of digits of precision for floating point output (default 8). threshold : int, optional Total number of array elements which trigger summarization rather than full repr (default 1000). edgeitems : int, optional Number of array items in summary at beginning and end of each dimension (default 3). linewidth : int, optional The number of characters per line for the purpose of inserting line breaks (default 75). suppress : bool, optional Whether or not suppress printing of small floating point values using scientific notation (default False). nanstr : str, optional String representation of floating point not-a-number (default nan). infstr : str, optional String representation of floating point infinity (default inf). formatter : dict of callables, optional If not None, the keys should indicate the type(s) that the respective formatting function applies to. Callables should return a string. Types that are not specified (by their corresponding keys) are handled by the default formatters. Individual types for which a formatter can be set are:: - 'bool' - 'int' - 'timedelta' : a `numpy.timedelta64` - 'datetime' : a `numpy.datetime64` - 'float' - 'longfloat' : 128-bit floats - 'complexfloat' - 'longcomplexfloat' : composed of two 128-bit floats - 'numpystr' : types `numpy.string_` and `numpy.unicode_` - 'object' : `np.object_` arrays - 'str' : all other strings Other keys that can be used to set a group of types at once are:: - 'all' : sets all types - 'int_kind' : sets 'int' - 'float_kind' : sets 'float' and 'longfloat' - 'complex_kind' : sets 'complexfloat' and 'longcomplexfloat' - 'str_kind' : sets 'str' and 'numpystr' See Also -------- get_printoptions, set_string_function, array2string Notes ----- `formatter` is always reset with a call to `set_printoptions`. Examples -------- Floating point precision can be set: >>> np.set_printoptions(precision=4) >>> print(np.array([1.123456789])) [ 1.1235] Long arrays can be summarised: >>> np.set_printoptions(threshold=5) >>> print(np.arange(10)) [0 1 2 ..., 7 8 9] Small results can be suppressed: >>> eps = np.finfo(float).eps >>> x = np.arange(4.) >>> x**2 - (x + eps)**2 array([ -4.9304e-32, -4.4409e-16, 0.0000e+00, 0.0000e+00]) >>> np.set_printoptions(suppress=True) >>> x**2 - (x + eps)**2 array([-0., -0., 0., 0.]) A custom formatter can be used to display array elements as desired: >>> np.set_printoptions(formatter={'all':lambda x: 'int: '+str(-x)}) >>> x = np.arange(3) >>> x array([int: 0, int: -1, int: -2]) >>> np.set_printoptions() # formatter gets reset >>> x array([0, 1, 2]) To put back the default options, you can use: >>> np.set_printoptions(edgeitems=3,infstr='inf', ... linewidth=75, nanstr='nan', precision=8, ... suppress=False, threshold=1000, formatter=None) """ global _summaryThreshold, _summaryEdgeItems, _float_output_precision global _line_width, _float_output_suppress_small, _nan_str, _inf_str global _formatter if linewidth is not None: _line_width = linewidth if threshold is not None: _summaryThreshold = threshold if edgeitems is not None: _summaryEdgeItems = edgeitems if precision is not None: _float_output_precision = precision if suppress is not None: _float_output_suppress_small = not not suppress if nanstr is not None: _nan_str = nanstr if infstr is not None: _inf_str = infstr _formatter = formatter def get_printoptions(): """ Return the current print options. Returns ------- print_opts : dict Dictionary of current print options with keys - precision : int - threshold : int - edgeitems : int - linewidth : int - suppress : bool - nanstr : str - infstr : str - formatter : dict of callables For a full description of these options, see `set_printoptions`. See Also -------- set_printoptions, set_string_function """ d = dict(precision=_float_output_precision, threshold=_summaryThreshold, edgeitems=_summaryEdgeItems, linewidth=_line_width, suppress=_float_output_suppress_small, nanstr=_nan_str, infstr=_inf_str, formatter=_formatter) return d def _leading_trailing(a): from . import numeric as _nc if a.ndim == 1: if len(a) > 2*_summaryEdgeItems: b = _nc.concatenate((a[:_summaryEdgeItems], a[-_summaryEdgeItems:])) else: b = a else: if len(a) > 2*_summaryEdgeItems: l = [_leading_trailing(a[i]) for i in range( min(len(a), _summaryEdgeItems))] l.extend([_leading_trailing(a[-i]) for i in range( min(len(a), _summaryEdgeItems), 0, -1)]) else: l = [_leading_trailing(a[i]) for i in range(0, len(a))] b = _nc.concatenate(tuple(l)) return b def _boolFormatter(x): if x: return ' True' else: return 'False' def _object_format(o): """ Object arrays containing lists should be printed unambiguously """ if type(o) is list: fmt = 'list({!r})' else: fmt = '{!r}' return fmt.format(o) def repr_format(x): return repr(x) def _get_formatdict(data, precision, suppress_small, formatter): # wrapped in lambdas to avoid taking a code path with the wrong type of data formatdict = {'bool': lambda: _boolFormatter, 'int': lambda: IntegerFormat(data), 'float': lambda: FloatFormat(data, precision, suppress_small), 'longfloat': lambda: LongFloatFormat(precision), 'complexfloat': lambda: ComplexFormat(data, precision, suppress_small), 'longcomplexfloat': lambda: LongComplexFormat(precision), 'datetime': lambda: DatetimeFormat(data), 'timedelta': lambda: TimedeltaFormat(data), 'object': lambda: _object_format, 'numpystr': lambda: repr_format, 'str': lambda: str} # we need to wrap values in `formatter` in a lambda, so that the interface # is the same as the above values. def indirect(x): return lambda: x if formatter is not None: fkeys = [k for k in formatter.keys() if formatter[k] is not None] if 'all' in fkeys: for key in formatdict.keys(): formatdict[key] = indirect(formatter['all']) if 'int_kind' in fkeys: for key in ['int']: formatdict[key] = indirect(formatter['int_kind']) if 'float_kind' in fkeys: for key in ['float', 'longfloat']: formatdict[key] = indirect(formatter['float_kind']) if 'complex_kind' in fkeys: for key in ['complexfloat', 'longcomplexfloat']: formatdict[key] = indirect(formatter['complex_kind']) if 'str_kind' in fkeys: for key in ['numpystr', 'str']: formatdict[key] = indirect(formatter['str_kind']) for key in formatdict.keys(): if key in fkeys: formatdict[key] = indirect(formatter[key]) return formatdict def _get_format_function(data, precision, suppress_small, formatter): """ find the right formatting function for the dtype_ """ dtype_ = data.dtype if dtype_.fields is not None: format_functions = [] for field_name in dtype_.names: field_values = data[field_name] format_function = _get_format_function( ravel(field_values), precision, suppress_small, formatter) if dtype_[field_name].shape != (): format_function = SubArrayFormat(format_function) format_functions.append(format_function) return StructureFormat(format_functions) dtypeobj = dtype_.type formatdict = _get_formatdict(data, precision, suppress_small, formatter) if issubclass(dtypeobj, _nt.bool_): return formatdict['bool']() elif issubclass(dtypeobj, _nt.integer): if issubclass(dtypeobj, _nt.timedelta64): return formatdict['timedelta']() else: return formatdict['int']() elif issubclass(dtypeobj, _nt.floating): if issubclass(dtypeobj, _nt.longfloat): return formatdict['longfloat']() else: return formatdict['float']() elif issubclass(dtypeobj, _nt.complexfloating): if issubclass(dtypeobj, _nt.clongfloat): return formatdict['longcomplexfloat']() else: return formatdict['complexfloat']() elif issubclass(dtypeobj, (_nt.unicode_, _nt.string_)): return formatdict['numpystr']() elif issubclass(dtypeobj, _nt.datetime64): return formatdict['datetime']() elif issubclass(dtypeobj, _nt.object_): return formatdict['object']() else: return formatdict['numpystr']() def _array2string(a, max_line_width, precision, suppress_small, separator=' ', prefix="", formatter=None): if a.size > _summaryThreshold: summary_insert = "..., " data = _leading_trailing(a) else: summary_insert = "" data = ravel(asarray(a)) # find the right formatting function for the array format_function = _get_format_function(data, precision, suppress_small, formatter) # skip over "[" next_line_prefix = " " # skip over array( next_line_prefix += " "*len(prefix) lst = _formatArray(a, format_function, a.ndim, max_line_width, next_line_prefix, separator, _summaryEdgeItems, summary_insert)[:-1] return lst def _recursive_guard(fillvalue='...'): """ Like the python 3.2 reprlib.recursive_repr, but forwards *args and **kwargs Decorates a function such that if it calls itself with the same first argument, it returns `fillvalue` instead of recursing. Largely copied from reprlib.recursive_repr """ def decorating_function(f): repr_running = set() @functools.wraps(f) def wrapper(self, *args, **kwargs): key = id(self), get_ident() if key in repr_running: return fillvalue repr_running.add(key) try: return f(self, *args, **kwargs) finally: repr_running.discard(key) return wrapper return decorating_function # gracefully handle recursive calls - this comes up when object arrays contain # themselves @_recursive_guard() def array2string(a, max_line_width=None, precision=None, suppress_small=None, separator=' ', prefix="", style=repr, formatter=None): """ Return a string representation of an array. Parameters ---------- a : ndarray Input array. max_line_width : int, optional The maximum number of columns the string should span. Newline characters splits the string appropriately after array elements. precision : int, optional Floating point precision. Default is the current printing precision (usually 8), which can be altered using `set_printoptions`. suppress_small : bool, optional Represent very small numbers as zero. A number is "very small" if it is smaller than the current printing precision. separator : str, optional Inserted between elements. prefix : str, optional An array is typically printed as:: 'prefix(' + array2string(a) + ')' The length of the prefix string is used to align the output correctly. style : function, optional A function that accepts an ndarray and returns a string. Used only when the shape of `a` is equal to ``()``, i.e. for 0-D arrays. formatter : dict of callables, optional If not None, the keys should indicate the type(s) that the respective formatting function applies to. Callables should return a string. Types that are not specified (by their corresponding keys) are handled by the default formatters. Individual types for which a formatter can be set are:: - 'bool' - 'int' - 'timedelta' : a `numpy.timedelta64` - 'datetime' : a `numpy.datetime64` - 'float' - 'longfloat' : 128-bit floats - 'complexfloat' - 'longcomplexfloat' : composed of two 128-bit floats - 'numpystr' : types `numpy.string_` and `numpy.unicode_` - 'str' : all other strings Other keys that can be used to set a group of types at once are:: - 'all' : sets all types - 'int_kind' : sets 'int' - 'float_kind' : sets 'float' and 'longfloat' - 'complex_kind' : sets 'complexfloat' and 'longcomplexfloat' - 'str_kind' : sets 'str' and 'numpystr' Returns ------- array_str : str String representation of the array. Raises ------ TypeError if a callable in `formatter` does not return a string. See Also -------- array_str, array_repr, set_printoptions, get_printoptions Notes ----- If a formatter is specified for a certain type, the `precision` keyword is ignored for that type. This is a very flexible function; `array_repr` and `array_str` are using `array2string` internally so keywords with the same name should work identically in all three functions. Examples -------- >>> x = np.array([1e-16,1,2,3]) >>> print(np.array2string(x, precision=2, separator=',', ... suppress_small=True)) [ 0., 1., 2., 3.] >>> x = np.arange(3.) >>> np.array2string(x, formatter={'float_kind':lambda x: "%.2f" % x}) '[0.00 1.00 2.00]' >>> x = np.arange(3) >>> np.array2string(x, formatter={'int':lambda x: hex(x)}) '[0x0L 0x1L 0x2L]' """ if max_line_width is None: max_line_width = _line_width if precision is None: precision = _float_output_precision if suppress_small is None: suppress_small = _float_output_suppress_small if formatter is None: formatter = _formatter if a.shape == (): x = a.item() if a.dtype.fields is not None: arr = array([x], dtype=a.dtype) format_function = _get_format_function( arr, precision, suppress_small, formatter) lst = format_function(arr[0]) else: lst = style(x) elif functools.reduce(product, a.shape) == 0: # treat as a null array if any of shape elements == 0 lst = "[]" else: lst = _array2string(a, max_line_width, precision, suppress_small, separator, prefix, formatter=formatter) return lst def _extendLine(s, line, word, max_line_len, next_line_prefix): if len(line.rstrip()) + len(word.rstrip()) >= max_line_len: s += line.rstrip() + "\n" line = next_line_prefix line += word return s, line def _formatArray(a, format_function, rank, max_line_len, next_line_prefix, separator, edge_items, summary_insert): """formatArray is designed for two modes of operation: 1. Full output 2. Summarized output """ if rank == 0: raise ValueError("rank shouldn't be zero.") if summary_insert and 2*edge_items < len(a): leading_items = edge_items trailing_items = edge_items summary_insert1 = summary_insert else: leading_items = 0 trailing_items = len(a) summary_insert1 = "" if rank == 1: s = "" line = next_line_prefix for i in range(leading_items): word = format_function(a[i]) + separator s, line = _extendLine(s, line, word, max_line_len, next_line_prefix) if summary_insert1: s, line = _extendLine(s, line, summary_insert1, max_line_len, next_line_prefix) for i in range(trailing_items, 1, -1): word = format_function(a[-i]) + separator s, line = _extendLine(s, line, word, max_line_len, next_line_prefix) word = format_function(a[-1]) s, line = _extendLine(s, line, word, max_line_len, next_line_prefix) s += line + "]\n" s = '[' + s[len(next_line_prefix):] else: s = '[' sep = separator.rstrip() for i in range(leading_items): if i > 0: s += next_line_prefix s += _formatArray(a[i], format_function, rank-1, max_line_len, " " + next_line_prefix, separator, edge_items, summary_insert) s = s.rstrip() + sep.rstrip() + '\n'*max(rank-1, 1) if summary_insert1: s += next_line_prefix + summary_insert1 + "\n" for i in range(trailing_items, 1, -1): if leading_items or i != trailing_items: s += next_line_prefix s += _formatArray(a[-i], format_function, rank-1, max_line_len, " " + next_line_prefix, separator, edge_items, summary_insert) s = s.rstrip() + sep.rstrip() + '\n'*max(rank-1, 1) if leading_items or trailing_items > 1: s += next_line_prefix s += _formatArray(a[-1], format_function, rank-1, max_line_len, " " + next_line_prefix, separator, edge_items, summary_insert).rstrip()+']\n' return s class FloatFormat(object): def __init__(self, data, precision, suppress_small, sign=False): self.precision = precision self.suppress_small = suppress_small self.sign = sign self.exp_format = False self.large_exponent = False self.max_str_len = 0 try: self.fillFormat(data) except (TypeError, NotImplementedError): # if reduce(data) fails, this instance will not be called, just # instantiated in formatdict. pass def fillFormat(self, data): from . import numeric as _nc with _nc.errstate(all='ignore'): special = isnan(data) | isinf(data) valid = not_equal(data, 0) & ~special non_zero = absolute(data.compress(valid)) if len(non_zero) == 0: max_val = 0. min_val = 0. else: max_val = maximum.reduce(non_zero) min_val = minimum.reduce(non_zero) if max_val >= 1.e8: self.exp_format = True if not self.suppress_small and (min_val < 0.0001 or max_val/min_val > 1000.): self.exp_format = True if self.exp_format: self.large_exponent = 0 < min_val < 1e-99 or max_val >= 1e100 self.max_str_len = 8 + self.precision if self.large_exponent: self.max_str_len += 1 if self.sign: format = '%+' else: format = '%' format = format + '%d.%de' % (self.max_str_len, self.precision) else: format = '%%.%df' % (self.precision,) if len(non_zero): precision = max([_digits(x, self.precision, format) for x in non_zero]) else: precision = 0 precision = min(self.precision, precision) self.max_str_len = len(str(int(max_val))) + precision + 2 if _nc.any(special): self.max_str_len = max(self.max_str_len, len(_nan_str), len(_inf_str)+1) if self.sign: format = '%#+' else: format = '%#' format = format + '%d.%df' % (self.max_str_len, precision) self.special_fmt = '%%%ds' % (self.max_str_len,) self.format = format def __call__(self, x, strip_zeros=True): from . import numeric as _nc with _nc.errstate(invalid='ignore'): if isnan(x): if self.sign: return self.special_fmt % ('+' + _nan_str,) else: return self.special_fmt % (_nan_str,) elif isinf(x): if x > 0: if self.sign: return self.special_fmt % ('+' + _inf_str,) else: return self.special_fmt % (_inf_str,) else: return self.special_fmt % ('-' + _inf_str,) s = self.format % x if self.large_exponent: # 3-digit exponent expsign = s[-3] if expsign == '+' or expsign == '-': s = s[1:-2] + '0' + s[-2:] elif self.exp_format: # 2-digit exponent if s[-3] == '0': s = ' ' + s[:-3] + s[-2:] elif strip_zeros: z = s.rstrip('0') s = z + ' '*(len(s)-len(z)) return s def _digits(x, precision, format): if precision > 0: s = format % x z = s.rstrip('0') return precision - len(s) + len(z) else: return 0 class IntegerFormat(object): def __init__(self, data): try: max_str_len = max(len(str(maximum.reduce(data))), len(str(minimum.reduce(data)))) self.format = '%' + str(max_str_len) + 'd' except (TypeError, NotImplementedError): # if reduce(data) fails, this instance will not be called, just # instantiated in formatdict. pass except ValueError: # this occurs when everything is NA pass def __call__(self, x): if _MININT < x < _MAXINT: return self.format % x else: return "%s" % x class LongFloatFormat(object): # XXX Have to add something to determine the width to use a la FloatFormat # Right now, things won't line up properly def __init__(self, precision, sign=False): self.precision = precision self.sign = sign def __call__(self, x): if isnan(x): if self.sign: return '+' + _nan_str else: return ' ' + _nan_str elif isinf(x): if x > 0: if self.sign: return '+' + _inf_str else: return ' ' + _inf_str else: return '-' + _inf_str elif x >= 0: if self.sign: return '+' + format_longfloat(x, self.precision) else: return ' ' + format_longfloat(x, self.precision) else: return format_longfloat(x, self.precision) class LongComplexFormat(object): def __init__(self, precision): self.real_format = LongFloatFormat(precision) self.imag_format = LongFloatFormat(precision, sign=True) def __call__(self, x): r = self.real_format(x.real) i = self.imag_format(x.imag) return r + i + 'j' class ComplexFormat(object): def __init__(self, x, precision, suppress_small): self.real_format = FloatFormat(x.real, precision, suppress_small) self.imag_format = FloatFormat(x.imag, precision, suppress_small, sign=True) def __call__(self, x): r = self.real_format(x.real, strip_zeros=False) i = self.imag_format(x.imag, strip_zeros=False) if not self.imag_format.exp_format: z = i.rstrip('0') i = z + 'j' + ' '*(len(i)-len(z)) else: i = i + 'j' return r + i class DatetimeFormat(object): def __init__(self, x, unit=None, timezone=None, casting='same_kind'): # Get the unit from the dtype if unit is None: if x.dtype.kind == 'M': unit = datetime_data(x.dtype)[0] else: unit = 's' if timezone is None: timezone = 'naive' self.timezone = timezone self.unit = unit self.casting = casting def __call__(self, x): return "'%s'" % datetime_as_string(x, unit=self.unit, timezone=self.timezone, casting=self.casting) class TimedeltaFormat(object): def __init__(self, data): if data.dtype.kind == 'm': nat_value = array(['NaT'], dtype=data.dtype)[0] int_dtype = dtype(data.dtype.byteorder + 'i8') int_view = data.view(int_dtype) v = int_view[not_equal(int_view, nat_value.view(int_dtype))] if len(v) > 0: # Max str length of non-NaT elements max_str_len = max(len(str(maximum.reduce(v))), len(str(minimum.reduce(v)))) else: max_str_len = 0 if len(v) < len(data): # data contains a NaT max_str_len = max(max_str_len, 5) self.format = '%' + str(max_str_len) + 'd' self._nat = "'NaT'".rjust(max_str_len) def __call__(self, x): # TODO: After NAT == NAT deprecation should be simplified: if (x + 1).view('i8') == x.view('i8'): return self._nat else: return self.format % x.astype('i8') class SubArrayFormat(object): def __init__(self, format_function): self.format_function = format_function def __call__(self, arr): if arr.ndim <= 1: return "[" + ", ".join(self.format_function(a) for a in arr) + "]" return "[" + ", ".join(self.__call__(a) for a in arr) + "]" class StructureFormat(object): def __init__(self, format_functions): self.format_functions = format_functions self.num_fields = len(format_functions) def __call__(self, x): s = "(" for field, format_function in zip(x, self.format_functions): s += format_function(field) + ", " return (s[:-2] if 1 < self.num_fields else s[:-1]) + ")"