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+'''Data transformation functions.
+
+From bytes to a number, number to bytes, base64-like-encoding, etc.
+'''
+
+import math
+import types
+
+def bit_size(number):
+ """Returns the number of bits required to hold a specific long number"""
+
+ return int(math.ceil(math.log(number,2)))
+
+def bytes2int(bytes):
+ """Converts a list of bytes or a string to an integer
+
+ >>> (((128 * 256) + 64) * 256) + 15
+ 8405007
+ >>> l = [128, 64, 15]
+ >>> bytes2int(l) #same as bytes2int('\x80@\x0f')
+ 8405007
+ """
+
+ if not (type(bytes) is types.ListType or type(bytes) is types.StringType):
+ raise TypeError("You must pass a string or a list")
+
+ # Convert byte stream to integer
+ integer = 0
+ for byte in bytes:
+ integer *= 256
+ if type(byte) is types.StringType: byte = ord(byte)
+ integer += byte
+
+ return integer
+
+def int2bytes(number):
+ """Converts a number to a string of bytes
+
+ >>>int2bytes(123456789)
+ '\x07[\xcd\x15'
+ >>> bytes2int(int2bytes(123456789))
+ 123456789
+ """
+
+ if not (type(number) is types.LongType or type(number) is types.IntType):
+ raise TypeError("You must pass a long or an int")
+
+ string = ""
+
+ while number > 0:
+ string = "%s%s" % (chr(number & 0xFF), string)
+ number /= 256
+
+ return string
+
+
+def to64(number):
+ """Converts a number in the range of 0 to 63 into base 64 digit
+ character in the range of '0'-'9', 'A'-'Z', 'a'-'z','-','_'.
+
+ >>> to64(10)
+ 'A'
+ """
+
+ if not (type(number) is types.LongType or type(number) is types.IntType):
+ raise TypeError("You must pass a long or an int")
+
+ if 0 <= number <= 9: #00-09 translates to '0' - '9'
+ return chr(number + 48)
+
+ if 10 <= number <= 35:
+ return chr(number + 55) #10-35 translates to 'A' - 'Z'
+
+ if 36 <= number <= 61:
+ return chr(number + 61) #36-61 translates to 'a' - 'z'
+
+ if number == 62: # 62 translates to '-' (minus)
+ return chr(45)
+
+ if number == 63: # 63 translates to '_' (underscore)
+ return chr(95)
+
+ raise ValueError(u'Invalid Base64 value: %i' % number)
+
+
+def from64(number):
+ """Converts an ordinal character value in the range of
+ 0-9,A-Z,a-z,-,_ to a number in the range of 0-63.
+
+ >>> from64(49)
+ 1
+ """
+
+ if not (type(number) is types.LongType or type(number) is types.IntType):
+ raise TypeError("You must pass a long or an int")
+
+ if 48 <= number <= 57: #ord('0') - ord('9') translates to 0-9
+ return(number - 48)
+
+ if 65 <= number <= 90: #ord('A') - ord('Z') translates to 10-35
+ return(number - 55)
+
+ if 97 <= number <= 122: #ord('a') - ord('z') translates to 36-61
+ return(number - 61)
+
+ if number == 45: #ord('-') translates to 62
+ return(62)
+
+ if number == 95: #ord('_') translates to 63
+ return(63)
+
+ raise ValueError(u'Invalid Base64 value: %i' % number)
+
+
+def int2str64(number):
+ """Converts a number to a string of base64 encoded characters in
+ the range of '0'-'9','A'-'Z,'a'-'z','-','_'.
+
+ >>> int2str64(123456789)
+ '7MyqL'
+ """
+
+ if not (type(number) is types.LongType or type(number) is types.IntType):
+ raise TypeError("You must pass a long or an int")
+
+ string = ""
+
+ while number > 0:
+ string = "%s%s" % (to64(number & 0x3F), string)
+ number /= 64
+
+ return string
+
+
+def str642int(string):
+ """Converts a base64 encoded string into an integer.
+ The chars of this string in in the range '0'-'9','A'-'Z','a'-'z','-','_'
+
+ >>> str642int('7MyqL')
+ 123456789
+ """
+
+ if not (type(string) is types.ListType or type(string) is types.StringType):
+ raise TypeError("You must pass a string or a list")
+
+ integer = 0
+ for byte in string:
+ integer *= 64
+ if type(byte) is types.StringType: byte = ord(byte)
+ integer += from64(byte)
+
+ return integer