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# Length of Preperiod and Period
a = 1
b = 2*7

u = denominator(a/b).valuation(2)
v = denominator(a/b).valuation(5)
def PreperiodLength(a,b): return max(u,v)

m = denominator(a/b) / (2^u*5^v)
y = 1/m
def PeriodLength(a,b):
    if m == 1:
        return 0
    else:
        return y.period()

#print 'm=', m
#print a,'/',b, '=', float(a/b)
print a,'/',b, '=', numerical_approx(a/b, digits=PreperiodLength(a,b)+PeriodLength(a,b))
print 'PreperiodLength:', PreperiodLength(a,b)
print 'PeriodLength:', PeriodLength(a,b)

Out:

1 / 14 = 0.07142857
PreperiodLength: 1
PeriodLength: 6

# Length of Preperiod and Period Period a = 1 b = 2*7 u = denominator(a/b).valuation(2) v = denominator(a/b).valuation(5) def PreperiodLength(a,b): PreperiodLength(a,b): return max(u,v) m = denominator(a/b) / (2^u*5^v) y = 1/m def PeriodLength(a,b): if m == 1: return 0 else: return y.period() #print 'm=', m #print a,'/',b, '=', float(a/b) print a,'/',b, '=', # print('m = {}'.format(m)) # print('{} / {} = {}'.format(a, b, float(a/b))) print('{} / {} = {}'.format(a, b, numerical_approx(a/b, digits=PreperiodLength(a,b)+PeriodLength(a,b)) print 'PreperiodLength:', PreperiodLength(a,b) print 'PeriodLength:', PeriodLength(a,b) digits=PreperiodLength(a,b) + PeriodLength(a,b)) print('PreperiodLength: {}'.format(PreperiodLength(a,b))) print('PeriodLength: {}'.format(PeriodLength(a,b)) Out: 1 / 14 = 0.07142857 PreperiodLength: 1 PeriodLength: 6

          3    No.3 Revision 
      
    
        
        updated 2020-01-05 05:46:39 +0100  
 
 
  
 
 
 
  Length of Preperiod and Period
 a = 1
b = 2*7

u = denominator(a/b).valuation(2)
v = denominator(a/b).valuation(5)

def PreperiodLength(a,b):
    return max(u,v)

m = denominator(a/b) / (2^u*5^v)
y = 1/m

def PeriodLength(a,b):
    if m == 1:
        return 0
    else:
        return y.period()

# print('m #print('m = {}'.format(m))
# print('{} #print('{} / {} = {}'.format(a, b, float(a/b)))
print('{} / {} = {}'.format(a, b, numerical_approx(a/b, digits=PreperiodLength(a,b) + PeriodLength(a,b))
PeriodLength(a,b))))
print('PreperiodLength: {}'.format(PreperiodLength(a,b)))
print('PeriodLength: {}'.format(PeriodLength(a,b))
{}'.format(PeriodLength(a,b)))
 Out:
 1 / 14 = 0.07142857
PreperiodLength: 1
PeriodLength: 6
 
 
          4    No.4 Revision 
      
    
        
        updated 2020-01-05 16:23:02 +0100  
 
 
  
 
 
 
  Length of Preperiod and Period
 a = 1
b = 2*7

u = denominator(a/b).valuation(2)
v = denominator(a/b).valuation(5)

def PreperiodLength(a,b):
    PreperiodLength(a,b): return max(u,v)

m = denominator(a/b) / (2^u*5^v)
y = 1/m

def PeriodLength(a,b):
    if m == 1:
        return 0
    else:
        return y.period()

#print('m = {}'.format(m))
#print('{} / {} = {}'.format(a, b, float(a/b)))
print('{} / {} = {}'.format(a, b, numerical_approx(a/b, digits=PreperiodLength(a,b) + PeriodLength(a,b))))
print('PreperiodLength: {}'.format(PreperiodLength(a,b)))
print('PeriodLength: {}'.format(PeriodLength(a,b)))
 Out:
 1 / 14 = 0.07142857
PreperiodLength: 1
PeriodLength: 6
 
 
          5    No.5 Revision 
      
    
        
        updated 2020-01-05 16:23:13 +0100  
 
 
  
 
 
 
  Length of Preperiod and Period
 a = 1
b = 2*7

u = denominator(a/b).valuation(2)
v = denominator(a/b).valuation(5)

def PreperiodLength(a,b): return max(u,v)

m = denominator(a/b) / (2^u*5^v)
y = 1/m

def PeriodLength(a,b):
    if m == 1:
        return 0
    else:
        return y.period()

#print('m = {}'.format(m))
#print('{} / {} = {}'.format(a, b, float(a/b)))
print('{} / {} = {}'.format(a, b, numerical_approx(a/b, digits=PreperiodLength(a,b) + PeriodLength(a,b))))
print('PreperiodLength: {}'.format(PreperiodLength(a,b)))
print('PeriodLength: {}'.format(PeriodLength(a,b)))
 Out:
 1 / 14 = 0.07142857
PreperiodLength: 1
PeriodLength: 6