Lib/test/test_math.py

   1 # Python test set -- math module
   2 # XXXX Should not do tests around zero only
   3
   4 from test_support import *
   5
   6 seps='1e-05'
   7 eps = eval(seps)
   8 print 'math module, testing with eps', seps
   9 import math
  10
  11 def testit(name, value, expected):
  12         if abs(value-expected) > eps:
  13                 raise TestFailed, '%s returned %f, expected %f'%\
  14                       (name, value, expected)
  15
  16 print 'constants'
  17 testit('pi', math.pi, 3.1415926)
  18 testit('e', math.e, 2.7182818)
  19
  20 print 'acos'
  21 testit('acos(-1)', math.acos(-1), math.pi)
  22 testit('acos(0)', math.acos(0), math.pi/2)
  23 testit('acos(1)', math.acos(1), 0)
  24
  25 print 'asin'
  26 testit('asin(-1)', math.asin(-1), -math.pi/2)
  27 testit('asin(0)', math.asin(0), 0)
  28 testit('asin(1)', math.asin(1), math.pi/2)
  29
  30 print 'atan'
  31 testit('atan(-1)', math.atan(-1), -math.pi/4)
  32 testit('atan(0)', math.atan(0), 0)
  33 testit('atan(1)', math.atan(1), math.pi/4)
  34
  35 print 'atan2'
  36 testit('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
  37 testit('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
  38 testit('atan2(0, 1)', math.atan2(0, 1), 0)
  39 testit('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
  40 testit('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
  41
  42 print 'ceil'
  43 testit('ceil(0.5)', math.ceil(0.5), 1)
  44 testit('ceil(1.0)', math.ceil(1.0), 1)
  45 testit('ceil(1.5)', math.ceil(1.5), 2)
  46 testit('ceil(-0.5)', math.ceil(-0.5), 0)
  47 testit('ceil(-1.0)', math.ceil(-1.0), -1)
  48 testit('ceil(-1.5)', math.ceil(-1.5), -1)
  49
  50 print 'cos'
  51 testit('cos(-pi/2)', math.cos(-math.pi/2), 0)
  52 testit('cos(0)', math.cos(0), 1)
  53 testit('cos(pi/2)', math.cos(math.pi/2), 0)
  54 testit('cos(pi)', math.cos(math.pi), -1)
  55
  56 print 'cosh'
  57 testit('cosh(0)', math.cosh(0), 1)
  58 testit('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
  59
  60 print 'exp'
  61 testit('exp(-1)', math.exp(-1), 1/math.e)
  62 testit('exp(0)', math.exp(0), 1)
  63 testit('exp(1)', math.exp(1), math.e)
  64
  65 print 'fabs'
  66 testit('fabs(-1)', math.fabs(-1), 1)
  67 testit('fabs(0)', math.fabs(0), 0)
  68 testit('fabs(1)', math.fabs(1), 1)
  69
  70 print 'floor'
  71 testit('floor(0.5)', math.floor(0.5), 0)
  72 testit('floor(1.0)', math.floor(1.0), 1)
  73 testit('floor(1.5)', math.floor(1.5), 1)
  74 testit('floor(-0.5)', math.floor(-0.5), -1)
  75 testit('floor(-1.0)', math.floor(-1.0), -1)
  76 testit('floor(-1.5)', math.floor(-1.5), -2)
  77
  78 print 'fmod'
  79 testit('fmod(10,1)', math.fmod(10,1), 0)
  80 testit('fmod(10,0.5)', math.fmod(10,0.5), 0)
  81 testit('fmod(10,1.5)', math.fmod(10,1.5), 1)
  82 testit('fmod(-10,1)', math.fmod(-10,1), 0)
  83 testit('fmod(-10,0.5)', math.fmod(-10,0.5), 0)
  84 testit('fmod(-10,1.5)', math.fmod(-10,1.5), -1)
  85
  86 print 'frexp'
  87 def testfrexp(name, (mant, exp), (emant, eexp)):
  88         if abs(mant-emant) > eps or exp <> eexp:
  89                 raise TestFailed, '%s returned %s, expected %s'%\
  90                       (name, `mant, exp`, `emant,eexp`)
  91
  92 testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
  93 testfrexp('frexp(0)', math.frexp(0), (0, 0))
  94 testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
  95 testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
  96
  97 print 'hypot'
  98 testit('hypot(0,0)', math.hypot(0,0), 0)
  99 testit('hypot(3,4)', math.hypot(3,4), 5)
 100
 101 print 'ldexp'
 102 testit('ldexp(0,1)', math.ldexp(0,1), 0)
 103 testit('ldexp(1,1)', math.ldexp(1,1), 2)
 104 testit('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
 105 testit('ldexp(-1,1)', math.ldexp(-1,1), -2)
 106
 107 print 'log'
 108 testit('log(1/e)', math.log(1/math.e), -1)
 109 testit('log(1)', math.log(1), 0)
 110 testit('log(e)', math.log(math.e), 1)
 111
 112 print 'log10'
 113 testit('log10(0.1)', math.log10(0.1), -1)
 114 testit('log10(1)', math.log10(1), 0)
 115 testit('log10(10)', math.log10(10), 1)
 116
 117 print 'modf'
 118 def testmodf(name, (v1, v2), (e1, e2)):
 119         if abs(v1-e1) > eps or abs(v2-e2):
 120                 raise TestFailed, '%s returned %s, expected %s'%\
 121                       (name, `v1,v2`, `e1,e2`)
 122
 123 testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
 124 testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
 125
 126 print 'pow'
 127 testit('pow(0,1)', math.pow(0,1), 0)
 128 testit('pow(1,0)', math.pow(1,0), 1)
 129 testit('pow(2,1)', math.pow(2,1), 2)
 130 testit('pow(2,-1)', math.pow(2,-1), 0.5)
 131
 132 print 'sin'
 133 testit('sin(0)', math.sin(0), 0)
 134 testit('sin(pi/2)', math.sin(math.pi/2), 1)
 135 testit('sin(-pi/2)', math.sin(-math.pi/2), -1)
 136
 137 print 'sinh'
 138 testit('sinh(0)', math.sinh(0), 0)
 139 testit('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
 140 testit('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
 141
 142 print 'sqrt'
 143 testit('sqrt(0)', math.sqrt(0), 0)
 144 testit('sqrt(1)', math.sqrt(1), 1)
 145 testit('sqrt(4)', math.sqrt(4), 2)
 146
 147 print 'tan'
 148 testit('tan(0)', math.tan(0), 0)
 149 testit('tan(pi/4)', math.tan(math.pi/4), 1)
 150 testit('tan(-pi/4)', math.tan(-math.pi/4), -1)
 151
 152 print 'tanh'
 153 testit('tanh(0)', math.tanh(0), 0)
 154 testit('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)