""" Machine limits for Float32 and Float64 and (long double) if available... """ __all__ = ['finfo'] from machar import MachAr import numpy.core.numeric as numeric import numpy.core.numerictypes as ntypes from numpy.core.numeric import array import numpy as N def _frz(a): """fix rank-0 --> rank-1""" if a.ndim == 0: a.shape = (1,) return a _convert_to_float = { ntypes.csingle: ntypes.single, ntypes.complex_: ntypes.float_, ntypes.clongfloat: ntypes.longfloat } class finfo(object): """Machine limits for floating point types. :Parameters: dtype : floating point type or instance :SeeAlso: - numpy.lib.machar.MachAr """ _finfo_cache = {} def __new__(cls, dtype): obj = cls._finfo_cache.get(dtype,None) if obj is not None: return obj dtypes = [dtype] newdtype = numeric.obj2sctype(dtype) if newdtype is not dtype: dtypes.append(newdtype) dtype = newdtype if not issubclass(dtype, numeric.inexact): raise ValueError, "data type %r not inexact" % (dtype) obj = cls._finfo_cache.get(dtype,None) if obj is not None: return obj if not issubclass(dtype, numeric.floating): newdtype = _convert_to_float[dtype] if newdtype is not dtype: dtypes.append(newdtype) dtype = newdtype obj = cls._finfo_cache.get(dtype,None) if obj is not None: return obj obj = object.__new__(cls)._init(dtype) for dt in dtypes: cls._finfo_cache[dt] = obj return obj def _init(self, dtype): self.dtype = dtype if dtype is ntypes.double: itype = ntypes.int64 fmt = '%24.16e' precname = 'double' elif dtype is ntypes.single: itype = ntypes.int32 fmt = '%15.7e' precname = 'single' elif dtype is ntypes.longdouble: itype = ntypes.longlong fmt = '%s' precname = 'long double' else: raise ValueError, repr(dtype) machar = MachAr(lambda v:array([v], dtype), lambda v:_frz(v.astype(itype))[0], lambda v:array(_frz(v)[0], dtype), lambda v: fmt % array(_frz(v)[0], dtype), 'numpy %s precision floating point number' % precname) for word in ['precision', 'iexp', 'maxexp','minexp','negep', 'machep']: setattr(self,word,getattr(machar, word)) for word in ['tiny','resolution','epsneg']: setattr(self,word,getattr(machar, word).squeeze()) self.max = machar.huge.flat[0] self.min = -self.max self.eps = machar.eps.flat[0] self.nexp = machar.iexp self.nmant = machar.it self.machar = machar self._str_tiny = machar._str_xmin self._str_max = machar._str_xmax self._str_epsneg = machar._str_epsneg self._str_eps = machar._str_eps self._str_resolution = machar._str_resolution return self def __str__(self): return '''\ Machine parameters for %(dtype)s --------------------------------------------------------------------- precision=%(precision)3s resolution=%(_str_resolution)s machep=%(machep)6s eps= %(_str_eps)s negep =%(negep)6s epsneg= %(_str_epsneg)s minexp=%(minexp)6s tiny= %(_str_tiny)s maxexp=%(maxexp)6s max= %(_str_max)s nexp =%(nexp)6s min= -max --------------------------------------------------------------------- ''' % self.__dict__ class iinfo: """Limits for integer types. :Parameters: type : integer type or instance """ # Should be using dtypes as keys, but hash-function isn't yet implemented _min_values = {'int8': -2**7, 'int16': -2**15, 'int32': -2**31, 'int64': -2**63, 'uint8': 0, 'uint16': 0, 'uint32': 0, 'uint64': 0} _max_values = {'int8': 2**7 - 1, 'int16': 2**15 - 1, 'int32': 2**31 - 1, 'int64': 2**63 - 1, 'uint8': 2**8 - 1, 'uint16': 2**16 - 1, 'uint32': 2**32 - 1, 'uint64': 2**64 - 1} def __init__(self, type): self.dtype = str(N.dtype(type)) if not (self.dtype in self._min_values and \ self.dtype in self._max_values): raise ValueError("Invalid integer data type.") def min(self): """Minimum value of given dtype.""" return self._min_values[self.dtype] min = property(min) def max(self): """Maximum value of given dtype.""" return self._max_values[self.dtype] max = property(max) if __name__ == '__main__': f = finfo(ntypes.single) print 'single epsilon:',f.eps print 'single tiny:',f.tiny f = finfo(ntypes.float) print 'float epsilon:',f.eps print 'float tiny:',f.tiny f = finfo(ntypes.longfloat) print 'longfloat epsilon:',f.eps print 'longfloat tiny:',f.tiny