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1913 | jaeger | 1 | ### This file is grabbed from Python's Lib/test/test_math.py |
2 | ###--------------------------------------------------------- |
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3 | # Python test set -- math module |
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4 | # XXXX Should not do tests around zero only |
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5 | |||
6 | eps = 0.00001 |
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7 | #print('math module, testing with eps ', eps) |
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8 | import math |
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9 | |||
10 | def testit(name, value, expected): |
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11 | if abs(value-expected) > eps: |
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12 | msg = name + " returned " + str(value) + " expected " + str(expected) |
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13 | raise msg |
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14 | |||
15 | #print 'constants' |
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16 | testit('pi', math.pi, 3.1415926) |
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17 | testit('e', math.e, 2.7182818) |
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18 | |||
19 | #print 'acos' |
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20 | testit('acos(-1)', math.acos(-1), math.pi) |
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21 | testit('acos(0)', math.acos(0), math.pi/2) |
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22 | testit('acos(1)', math.acos(1), 0) |
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23 | |||
24 | #print 'asin' |
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25 | testit('asin(-1)', math.asin(-1), -math.pi/2) |
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26 | testit('asin(0)', math.asin(0), 0) |
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27 | testit('asin(1)', math.asin(1), math.pi/2) |
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28 | |||
29 | #print 'atan' |
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30 | testit('atan(-1)', math.atan(-1), -math.pi/4) |
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31 | testit('atan(0)', math.atan(0), 0) |
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32 | testit('atan(1)', math.atan(1), math.pi/4) |
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33 | |||
34 | #print 'atan2' |
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35 | testit('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2) |
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36 | testit('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4) |
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37 | testit('atan2(0, 1)', math.atan2(0, 1), 0) |
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38 | testit('atan2(1, 1)', math.atan2(1, 1), math.pi/4) |
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39 | testit('atan2(1, 0)', math.atan2(1, 0), math.pi/2) |
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40 | |||
41 | #print 'ceil' |
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42 | testit('ceil(0.5)', math.ceil(0.5), 1) |
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43 | testit('ceil(1.0)', math.ceil(1.0), 1) |
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44 | testit('ceil(1.5)', math.ceil(1.5), 2) |
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45 | testit('ceil(-0.5)', math.ceil(-0.5), 0) |
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46 | testit('ceil(-1.0)', math.ceil(-1.0), -1) |
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47 | testit('ceil(-1.5)', math.ceil(-1.5), -1) |
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48 | |||
49 | #print 'cos' |
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50 | testit('cos(-pi/2)', math.cos(-math.pi/2), 0) |
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51 | testit('cos(0)', math.cos(0), 1) |
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52 | testit('cos(pi/2)', math.cos(math.pi/2), 0) |
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53 | testit('cos(pi)', math.cos(math.pi), -1) |
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54 | |||
55 | #print 'cosh' |
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56 | testit('cosh(0)', math.cosh(0), 1) |
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57 | testit('cosh(2)-2*(cosh(1)**2)', math.cosh(2)-2*(math.cosh(1)**2), -1) # Thanks to Lambert |
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58 | |||
59 | #print 'degrees' |
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60 | testit('degrees(pi)', math.degrees(math.pi), 180.0) |
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61 | testit('degrees(pi/2)', math.degrees(math.pi/2), 90.0) |
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62 | testit('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0) |
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63 | |||
64 | #print 'exp' |
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65 | testit('exp(-1)', math.exp(-1), 1/math.e) |
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66 | testit('exp(0)', math.exp(0), 1) |
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67 | testit('exp(1)', math.exp(1), math.e) |
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68 | |||
69 | #print 'fabs' |
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70 | testit('fabs(-1)', math.fabs(-1), 1) |
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71 | testit('fabs(0)', math.fabs(0), 0) |
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72 | testit('fabs(1)', math.fabs(1), 1) |
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73 | |||
74 | #print 'floor' |
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75 | testit('floor(0.5)', math.floor(0.5), 0) |
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76 | testit('floor(1.0)', math.floor(1.0), 1) |
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77 | testit('floor(1.5)', math.floor(1.5), 1) |
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78 | testit('floor(-0.5)', math.floor(-0.5), -1) |
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79 | testit('floor(-1.0)', math.floor(-1.0), -1) |
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80 | testit('floor(-1.5)', math.floor(-1.5), -2) |
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81 | |||
82 | #print 'fmod' |
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83 | testit('fmod(10,1)', math.fmod(10,1), 0) |
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84 | testit('fmod(10,0.5)', math.fmod(10,0.5), 0) |
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85 | testit('fmod(10,1.5)', math.fmod(10,1.5), 1) |
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86 | testit('fmod(-10,1)', math.fmod(-10,1), 0) |
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87 | testit('fmod(-10,0.5)', math.fmod(-10,0.5), 0) |
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88 | testit('fmod(-10,1.5)', math.fmod(-10,1.5), -1) |
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89 | |||
90 | #print 'frexp' |
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91 | def testfrexp(name, value, expected): |
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92 | mant = value[0] |
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93 | exp = value[1] |
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94 | emant = expected[0] |
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95 | eexp = expected[1] |
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96 | if abs(mant-emant) > eps or exp != eexp: |
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97 | raise '%s returned (%f, %f), expected (%f, %f)'%\ |
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98 | (name, mant, exp, emant,eexp) |
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99 | |||
100 | testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1)) |
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101 | testfrexp('frexp(0)', math.frexp(0), (0, 0)) |
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102 | testfrexp('frexp(1)', math.frexp(1), (0.5, 1)) |
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103 | testfrexp('frexp(2)', math.frexp(2), (0.5, 2)) |
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104 | |||
105 | #print 'hypot' |
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106 | testit('hypot(0,0)', math.hypot(0,0), 0) |
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107 | testit('hypot(3,4)', math.hypot(3,4), 5) |
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108 | |||
109 | #print 'ldexp' |
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110 | testit('ldexp(0,1)', math.ldexp(0,1), 0) |
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111 | testit('ldexp(1,1)', math.ldexp(1,1), 2) |
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112 | testit('ldexp(1,-1)', math.ldexp(1,-1), 0.5) |
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113 | testit('ldexp(-1,1)', math.ldexp(-1,1), -2) |
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114 | |||
115 | #print 'log' |
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116 | testit('log(1/e)', math.log(1/math.e), -1) |
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117 | testit('log(1)', math.log(1), 0) |
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118 | testit('log(e)', math.log(math.e), 1) |
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119 | testit('log(32,2)', math.log(32,2), 5) |
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120 | testit('log(10**40, 10)', math.log(10**40, 10), 40) |
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121 | testit('log(10**40, 10**20)', math.log(10**40, 10**20), 2) |
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122 | |||
123 | #print 'log10' |
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124 | testit('log10(0.1)', math.log10(0.1), -1) |
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125 | testit('log10(1)', math.log10(1), 0) |
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126 | testit('log10(10)', math.log10(10), 1) |
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127 | |||
128 | #print 'modf' |
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129 | def testmodf(name, value, expected): |
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130 | v1 = value[0] |
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131 | v2 = value[1] |
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132 | e1 = expected[0] |
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133 | e2 = expected[1] |
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134 | if abs(v1-e1) > eps or abs(v2-e2): |
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135 | raise '%s returned (%f, %f), expected (%f, %f)'%\ |
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136 | (name, v1,v2, e1,e2) |
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137 | |||
138 | testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0)) |
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139 | testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0)) |
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140 | |||
141 | #print 'pow' |
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142 | testit('pow(0,1)', math.pow(0,1), 0) |
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143 | testit('pow(1,0)', math.pow(1,0), 1) |
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144 | testit('pow(2,1)', math.pow(2,1), 2) |
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145 | testit('pow(2,-1)', math.pow(2,-1), 0.5) |
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146 | |||
147 | #print 'radians' |
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148 | testit('radians(180)', math.radians(180), math.pi) |
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149 | testit('radians(90)', math.radians(90), math.pi/2) |
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150 | testit('radians(-45)', math.radians(-45), -math.pi/4) |
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151 | |||
152 | #print 'sin' |
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153 | testit('sin(0)', math.sin(0), 0) |
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154 | testit('sin(pi/2)', math.sin(math.pi/2), 1) |
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155 | testit('sin(-pi/2)', math.sin(-math.pi/2), -1) |
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156 | |||
157 | #print 'sinh' |
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158 | testit('sinh(0)', math.sinh(0), 0) |
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159 | testit('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1) |
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160 | testit('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0) |
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161 | |||
162 | #print 'sqrt' |
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163 | testit('sqrt(0)', math.sqrt(0), 0) |
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164 | testit('sqrt(1)', math.sqrt(1), 1) |
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165 | testit('sqrt(4)', math.sqrt(4), 2) |
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166 | |||
167 | #print 'tan' |
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168 | testit('tan(0)', math.tan(0), 0) |
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169 | testit('tan(pi/4)', math.tan(math.pi/4), 1) |
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170 | testit('tan(-pi/4)', math.tan(-math.pi/4), -1) |
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171 | |||
172 | #print 'tanh' |
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173 | testit('tanh(0)', math.tanh(0), 0) |
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174 | testit('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0) |
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175 | |||
176 | #print("OK: math module test pass") |