import sys import test_support def powtest(type): if type != float: print " Testing 2-argument pow() function..." for i in range(-1000, 1000): if pow(type(i), 0) != 1: raise ValueError, 'pow('+str(i)+',0) != 1' if pow(type(i), 1) != type(i): raise ValueError, 'pow('+str(i)+',1) != '+str(i) if pow(type(0), 1) != type(0): raise ValueError, 'pow(0,'+str(i)+') != 0' if pow(type(1), 1) != type(1): raise ValueError, 'pow(1,'+str(i)+') != 1' for i in range(-100, 100): if pow(type(i), 3) != i*i*i: raise ValueError, 'pow('+str(i)+',3) != '+str(i*i*i) pow2 = 1 for i in range(0,31): if pow(2, i) != pow2: raise ValueError, 'pow(2,'+str(i)+') != '+str(pow2) 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: raise ValueError, "pow(%s, %s) failed" % (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) print " Testing 3-argument pow() function..." il, ih = -20, 20 jl, jh = -5, 5 kl, kh = -10, 10 compare = cmp if type == float: il = 1 compare = test_support.fcmp elif type == int: jl = 0 elif type == long: jl, jh = 0, 15 for i in range(il, ih+1): for j in range(jl, jh+1): for k in range(kl, kh+1): if k != 0: if type == float or j < 0: try: pow(type(i),j,k) except TypeError: pass else: raise ValueError, "expected TypeError from " + \ "pow%r" % ((type(i), j, k),) continue if compare(pow(type(i),j,k), pow(type(i),j)% type(k)): raise ValueError, "pow(" +str(i)+ "," +str(j)+ \ "," +str(k)+ ") != pow(" +str(i)+ "," + \ str(j)+ ") % " +str(k) 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.' 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)` print 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)` print print for i in range(-10, 11): for j in range(0, 6): for k in range(-7, 11): 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 'Integer mismatch:', i,j,k