Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/sitepackages/boltons/mathutils.py @ 0:4f3585e2f14b draft default tip
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author  shellac 

date  Mon, 22 Mar 2021 18:12:50 +0000 
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0
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1 """This module provides useful math functions on top of Python's 
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2 builtin :mod:`math` module. 
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3 """ 
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4 from __future__ import division 
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5 
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6 from math import ceil as _ceil, floor as _floor 
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7 import bisect 
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8 import binascii 
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9 
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10 
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11 def clamp(x, lower=float('inf'), upper=float('inf')): 
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12 """Limit a value to a given range. 
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13 
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14 Args: 
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15 x (int or float): Number to be clamped. 
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16 lower (int or float): Minimum value for x. 
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17 upper (int or float): Maximum value for x. 
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18 
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19 The returned value is guaranteed to be between *lower* and 
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20 *upper*. Integers, floats, and other comparable types can be 
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21 mixed. 
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22 
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23 >>> clamp(1.0, 0, 5) 
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24 1.0 
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25 >>> clamp(1.0, 0, 5) 
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26 0 
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27 >>> clamp(101.0, 0, 5) 
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28 5 
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29 >>> clamp(123, upper=5) 
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30 5 
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31 
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32 Similar to `numpy's clip`_ function. 
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33 
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34 .. _numpy's clip: http://docs.scipy.org/doc/numpy/reference/generated/numpy.clip.html 
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35 
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36 """ 
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37 if upper < lower: 
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38 raise ValueError('expected upper bound (%r) >= lower bound (%r)' 
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39 % (upper, lower)) 
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40 return min(max(x, lower), upper) 
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41 
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42 
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43 def ceil(x, options=None): 
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44 """Return the ceiling of *x*. If *options* is set, return the smallest 
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45 integer or float from *options* that is greater than or equal to 
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46 *x*. 
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47 
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48 Args: 
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49 x (int or float): Number to be tested. 
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50 options (iterable): Optional iterable of arbitrary numbers 
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51 (ints or floats). 
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52 
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53 >>> VALID_CABLE_CSA = [1.5, 2.5, 4, 6, 10, 25, 35, 50] 
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54 >>> ceil(3.5, options=VALID_CABLE_CSA) 
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55 4 
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56 >>> ceil(4, options=VALID_CABLE_CSA) 
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57 4 
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58 """ 
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59 if options is None: 
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60 return _ceil(x) 
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61 options = sorted(options) 
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62 i = bisect.bisect_left(options, x) 
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63 if i == len(options): 
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64 raise ValueError("no ceil options greater than or equal to: %r" % x) 
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65 return options[i] 
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66 
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67 
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68 def floor(x, options=None): 
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69 """Return the floor of *x*. If *options* is set, return the largest 
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70 integer or float from *options* that is less than or equal to 
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71 *x*. 
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72 
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73 Args: 
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74 x (int or float): Number to be tested. 
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75 options (iterable): Optional iterable of arbitrary numbers 
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76 (ints or floats). 
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77 
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78 >>> VALID_CABLE_CSA = [1.5, 2.5, 4, 6, 10, 25, 35, 50] 
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79 >>> floor(3.5, options=VALID_CABLE_CSA) 
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80 2.5 
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81 >>> floor(2.5, options=VALID_CABLE_CSA) 
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82 2.5 
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83 
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84 """ 
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85 if options is None: 
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86 return _floor(x) 
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87 options = sorted(options) 
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88 
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89 i = bisect.bisect_right(options, x) 
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90 if not i: 
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91 raise ValueError("no floor options less than or equal to: %r" % x) 
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92 return options[i  1] 
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93 
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94 
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95 try: 
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96 _int_types = (int, long) 
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97 bytes = str 
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98 except NameError: 
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99 # py3 has no long 
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100 _int_types = (int,) 
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101 unicode = str 
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102 
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103 
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104 class Bits(object): 
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105 ''' 
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106 An immutable bitstring or bitarray object. 
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107 Provides listlike access to bits as bools, 
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108 as well as bitwise masking and shifting operators. 
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109 Bits also make it easy to convert between many 
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110 different useful representations: 
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111 
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112 * bytes  good for serializing raw binary data 
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113 * int  good for incrementing (e.g. to try all possible values) 
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114 * list of bools  good for iterating over or treating as flags 
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115 * hex/bin string  good for human readability 
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116 
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117 ''' 
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118 __slots__ = ('val', 'len') 
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119 
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120 def __init__(self, val=0, len_=None): 
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121 if type(val) not in _int_types: 
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122 if type(val) is list: 
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123 val = ''.join(['1' if e else '0' for e in val]) 
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124 if type(val) is bytes: 
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125 val = val.decode('ascii') 
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126 if type(val) is unicode: 
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127 if len_ is None: 
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128 len_ = len(val) 
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129 if val.startswith('0x'): 
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130 len_ = (len_  2) * 4 
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131 if val.startswith('0x'): 
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132 val = int(val, 16) 
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133 else: 
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134 if val: 
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135 val = int(val, 2) 
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136 else: 
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137 val = 0 
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138 if type(val) not in _int_types: 
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139 raise TypeError('initialized with bad type: {0}'.format(type(val).__name__)) 
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140 if val < 0: 
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141 raise ValueError('Bits cannot represent negative values') 
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142 if len_ is None: 
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143 len_ = len('{0:b}'.format(val)) 
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144 if val > 2 ** len_: 
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145 raise ValueError('value {0} cannot be represented with {1} bits'.format(val, len_)) 
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146 self.val = val # data is stored internally as integer 
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147 self.len = len_ 
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148 
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149 def __getitem__(self, k): 
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150 if type(k) is slice: 
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151 return Bits(self.as_bin()[k]) 
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152 if type(k) is int: 
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153 if k >= self.len: 
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154 raise IndexError(k) 
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155 return bool((1 << (self.len  k  1)) & self.val) 
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156 raise TypeError(type(k)) 
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157 
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158 def __len__(self): 
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159 return self.len 
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160 
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161 def __eq__(self, other): 
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162 if type(self) is not type(other): 
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163 return NotImplemented 
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164 return self.val == other.val and self.len == other.len 
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165 
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166 def __or__(self, other): 
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167 if type(self) is not type(other): 
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168 return NotImplemented 
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169 return Bits(self.val  other.val, max(self.len, other.len)) 
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170 
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171 def __and__(self, other): 
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172 if type(self) is not type(other): 
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173 return NotImplemented 
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174 return Bits(self.val & other.val, max(self.len, other.len)) 
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175 
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176 def __lshift__(self, other): 
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177 return Bits(self.val << other, self.len + other) 
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178 
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179 def __rshift__(self, other): 
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180 return Bits(self.val >> other, self.len  other) 
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181 
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182 def __hash__(self): 
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183 return hash(self.val) 
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184 
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185 def as_list(self): 
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186 return [c == '1' for c in '{0:b}'.format(self.val)] 
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187 
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188 def as_bin(self): 
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189 return '{{0:0{0}b}}'.format(self.len).format(self.val) 
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190 
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191 def as_hex(self): 
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192 # make template to pad out to number of bytes necessary to represent bits 
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193 tmpl = '%0{0}X'.format(2 * (self.len // 8 + ((self.len % 8) != 0))) 
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194 ret = tmpl % self.val 
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195 return ret 
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196 
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197 def as_int(self): 
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198 return self.val 
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199 
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200 def as_bytes(self): 
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201 return binascii.unhexlify(self.as_hex()) 
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202 
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203 @classmethod 
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204 def from_list(cls, list_): 
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205 return cls(list_) 
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206 
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207 @classmethod 
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208 def from_bin(cls, bin): 
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209 return cls(bin) 
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210 
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211 @classmethod 
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212 def from_hex(cls, hex): 
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213 if isinstance(hex, bytes): 
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214 hex = hex.decode('ascii') 
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215 if not hex.startswith('0x'): 
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216 hex = '0x' + hex 
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217 return cls(hex) 
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218 
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219 @classmethod 
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220 def from_int(cls, int_, len_=None): 
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221 return cls(int_, len_) 
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222 
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223 @classmethod 
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224 def from_bytes(cls, bytes_): 
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225 return cls.from_hex(binascii.hexlify(bytes_)) 
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226 
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227 def __repr__(self): 
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228 cn = self.__class__.__name__ 
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229 return "{0}('{1}')".format(cn, self.as_bin()) 