def isMorphic( n, k ):
'''
Returns true if n to the k power ends with n.
'''
digits = getMPFIntegerAsString( real_int( n ) )
sqr_digits = getMPFIntegerAsString( power( n, real_int( k ) ) )
start = len( sqr_digits ) - len( digits )
return 1 if ( sqr_digits[ start : ] == digits ) else 0
def isPandigital( n ):
str = getMPFIntegerAsString( n )
for c in string.digits:
if c not in str:
return 0
return 1
def getRightTruncations( n ):
if n < 0:
raise ValueError( '\'get_right_truncations\' requires a positive argument' )
str = getMPFIntegerAsString( n )
for i in range( len( str ), 0, -1 ):
yield mpmathify( str[ 0 : i ] )
def getLeftTruncations( n ):
if n < 0:
raise ValueError( '\'get_left_truncations\' requires a positive argument' )
str = getMPFIntegerAsString( n )
for i, e in enumerate( str ):
yield mpmathify( str[ i : ] )
def sumDigits( n ):
str = getMPFIntegerAsString( n )
result = 0
for c in str:
result = fadd( result, int( c ) )
return result
def isPalindrome( n ):
str = getMPFIntegerAsString( n )
length = len( str )
for i in range( 0, length // 2 ):
if str[ i ] != str[ -( i + 1 ) ]:
return 0
return 1
def getDigits( n, dropZeroes = False ):
str = getMPFIntegerAsString( n )
result = [ ]
for c in str:
if dropZeroes and c == '0':
continue
result.append( int( c ) )
return result
def isPolydivisible( n ):
if real_int( n ) < 0:
raise ValueError( 'non-negative, real integer expected' )
strValue = getMPFIntegerAsString( n )
# a couple of cheats
if ( len( strValue ) > 4 ) and ( strValue[ 4 ] not in [ '5', '0' ] ):
return 0
if ( len( strValue ) > 9 ) and ( strValue[ 9 ] != '0' ):
return 0
for i in range( len( strValue ), 1, -1 ):
current = mpmathify( strValue[ : i ] )
if not isDivisible( current, i ):
return 0
return 1
def getRightTruncations( n ):
str = getMPFIntegerAsString( n )
for i in range( len( str ), 0, -1 ):
yield mpmathify( str[ 0 : i ] )
def getLeftTruncations( n ):
str = getMPFIntegerAsString( n )
for i in range( len( str ) ):
yield mpmathify( str[ i : ] )
def splitNumberByDigits( n ):
str = getMPFIntegerAsString( n )
split = len( str ) // 2
return mpmathify( str[ : split ] ), mpmathify( str[ split : ] )
def reverseDigits( n ):
return mpmathify( getMPFIntegerAsString( n )[ : : -1 ] )
