1994-08-12 10:14:22 -03:00
|
|
|
import sys
|
1997-11-24 18:24:22 -04:00
|
|
|
import test_support
|
1994-08-12 10:14:22 -03:00
|
|
|
|
|
|
|
def powtest(type):
|
2000-10-05 21:36:09 -03:00
|
|
|
if type != float:
|
1994-08-12 10:14:22 -03:00
|
|
|
print " Testing 2-argument pow() function..."
|
|
|
|
for i in range(-1000, 1000):
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(type(i), 0) != 1:
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow('+str(i)+',0) != 1'
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(type(i), 1) != type(i):
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow('+str(i)+',1) != '+str(i)
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(type(0), 1) != type(0):
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow(0,'+str(i)+') != 0'
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(type(1), 1) != type(1):
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow(1,'+str(i)+') != 1'
|
2000-10-05 21:36:09 -03:00
|
|
|
|
1994-08-12 10:14:22 -03:00
|
|
|
for i in range(-100, 100):
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(type(i), 3) != i*i*i:
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow('+str(i)+',3) != '+str(i*i*i)
|
|
|
|
|
2000-10-05 21:36:09 -03:00
|
|
|
pow2 = 1
|
1994-08-12 10:14:22 -03:00
|
|
|
for i in range(0,31):
|
2000-10-05 21:36:09 -03:00
|
|
|
if pow(2, i) != pow2:
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, 'pow(2,'+str(i)+') != '+str(pow2)
|
2000-10-05 21:36:09 -03:00
|
|
|
if i != 30 : pow2 = pow2*2
|
|
|
|
|
|
|
|
for othertype in int, long:
|
|
|
|
for i in range(-10, 0) + range(1, 10):
|
|
|
|
ii = type(i)
|
|
|
|
for j in range(1, 11):
|
|
|
|
jj = -othertype(j)
|
|
|
|
try:
|
|
|
|
pow(ii, jj)
|
|
|
|
except ValueError:
|
|
|
|
pass # taking an int to a neg int power should fail
|
|
|
|
else:
|
|
|
|
raise ValueError, "pow(%s, %s) did not fail" % (ii, jj)
|
|
|
|
|
|
|
|
for othertype in int, long, float:
|
|
|
|
for i in range(1, 100):
|
|
|
|
zero = type(0)
|
|
|
|
exp = -othertype(i/10.0)
|
|
|
|
if exp == 0:
|
|
|
|
continue
|
|
|
|
try:
|
|
|
|
pow(zero, exp)
|
|
|
|
except ZeroDivisionError:
|
|
|
|
pass # taking zero to any negative exponent should fail
|
|
|
|
else:
|
|
|
|
raise ValueError, "pow(%s, %s) did not fail" % (zero, exp)
|
1994-08-12 10:14:22 -03:00
|
|
|
|
|
|
|
print " Testing 3-argument pow() function..."
|
|
|
|
il, ih = -20, 20
|
|
|
|
jl, jh = -5, 5
|
|
|
|
kl, kh = -10, 10
|
1997-11-24 18:24:22 -04:00
|
|
|
compare = cmp
|
2000-10-05 21:36:09 -03:00
|
|
|
if type == float:
|
|
|
|
il = 1
|
1998-03-26 15:42:58 -04:00
|
|
|
compare = test_support.fcmp
|
2000-10-05 21:36:09 -03:00
|
|
|
elif type == int:
|
|
|
|
jl = 0
|
|
|
|
elif type == long:
|
|
|
|
jl, jh = 0, 15
|
1994-08-12 10:14:22 -03:00
|
|
|
for i in range(il, ih+1):
|
2000-10-05 21:36:09 -03:00
|
|
|
for j in range(jl, jh+1):
|
1994-08-12 10:14:22 -03:00
|
|
|
for k in range(kl, kh+1):
|
2000-10-05 21:36:09 -03:00
|
|
|
if k != 0:
|
1998-03-26 15:42:58 -04:00
|
|
|
if compare(pow(type(i),j,k), pow(type(i),j)% type(k)):
|
1994-08-12 10:14:22 -03:00
|
|
|
raise ValueError, "pow(" +str(i)+ "," +str(j)+ \
|
1998-03-26 15:42:58 -04:00
|
|
|
"," +str(k)+ ") != pow(" +str(i)+ "," + \
|
|
|
|
str(j)+ ") % " +str(k)
|
1994-08-12 10:14:22 -03:00
|
|
|
|
|
|
|
|
|
|
|
print 'Testing integer mode...'
|
|
|
|
powtest(int)
|
|
|
|
print 'Testing long integer mode...'
|
|
|
|
powtest(long)
|
|
|
|
print 'Testing floating point mode...'
|
|
|
|
powtest(float)
|
|
|
|
|
|
|
|
# Other tests-- not very systematic
|
|
|
|
|
|
|
|
print 'The number in both columns should match.'
|
1999-12-23 11:36:42 -04:00
|
|
|
print `pow(3,3) % 8`, `pow(3,3,8)`
|
|
|
|
print `pow(3,3) % -8`, `pow(3,3,-8)`
|
|
|
|
print `pow(3,2) % -2`, `pow(3,2,-2)`
|
|
|
|
print `pow(-3,3) % 8`, `pow(-3,3,8)`
|
|
|
|
print `pow(-3,3) % -8`, `pow(-3,3,-8)`
|
|
|
|
print `pow(5,2) % -8`, `pow(5,2,-8)`
|
1994-08-12 10:14:22 -03:00
|
|
|
print
|
|
|
|
|
1999-12-23 11:36:42 -04:00
|
|
|
print `pow(3L,3L) % 8`, `pow(3L,3L,8)`
|
|
|
|
print `pow(3L,3L) % -8`, `pow(3L,3L,-8)`
|
|
|
|
print `pow(3L,2) % -2`, `pow(3L,2,-2)`
|
|
|
|
print `pow(-3L,3L) % 8`, `pow(-3L,3L,8)`
|
|
|
|
print `pow(-3L,3L) % -8`, `pow(-3L,3L,-8)`
|
|
|
|
print `pow(5L,2) % -8`, `pow(5L,2,-8)`
|
1994-08-12 10:14:22 -03:00
|
|
|
print
|
|
|
|
|
|
|
|
print pow(3.0,3.0) % 8, pow(3.0,3.0,8)
|
|
|
|
print pow(3.0,3.0) % -8, pow(3.0,3.0,-8)
|
|
|
|
print pow(3.0,2) % -2, pow(3.0,2,-2)
|
|
|
|
print pow(5.0,2) % -8, pow(5.0,2,-8)
|
|
|
|
print
|
|
|
|
|
|
|
|
for i in range(-10, 11):
|
|
|
|
for j in range(0, 6):
|
|
|
|
for k in range(-7, 11):
|
2000-10-05 21:36:09 -03:00
|
|
|
if j >= 0 and k != 0:
|
|
|
|
o = pow(i,j) % k
|
|
|
|
n = pow(i,j,k)
|
|
|
|
if o != n: print 'Integer mismatch:', i,j,k
|
|
|
|
if j >= 0 and k <> 0:
|
|
|
|
o = pow(long(i),j) % k
|
|
|
|
n = pow(long(i),j,k)
|
|
|
|
if o != n: print 'Long mismatch:', i,j,k
|
|
|
|
if i >= 0 and k <> 0:
|
|
|
|
o = pow(float(i),j) % k
|
|
|
|
n = pow(float(i),j,k)
|
|
|
|
if o != n: print 'Float mismatch:', i,j,k
|