Mercurial > cpython-lru_cache-weakref
annotate Lib/test/test_math.py @ 27998:e27f58a50737 legacy-trunk
SF bug #690377: Dud footnote reference in distutils docs
| author | Raymond Hettinger <python@rcn.com> |
|---|---|
| date | Fri, 21 Feb 2003 02:47:09 +0000 |
| parents | 2ed34f01c81c |
| children | 71a294bd7950 |
| rev | line source |
|---|---|
| 3950 | 1 # Python test set -- math module |
| 2 # XXXX Should not do tests around zero only | |
| 3 | |
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4 from test.test_support import TestFailed, verbose |
| 3950 | 5 |
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6 seps='1e-05' |
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7 eps = eval(seps) |
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8 print 'math module, testing with eps', seps |
| 3950 | 9 import math |
| 10 | |
| 11 def testit(name, value, expected): | |
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12 if abs(value-expected) > eps: |
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13 raise TestFailed, '%s returned %f, expected %f'%\ |
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14 (name, value, expected) |
| 3950 | 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) | |
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38 testit('atan2(0, 1)', math.atan2(0, 1), 0) |
| 3950 | 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 | |
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60 print 'degrees' |
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61 testit('degrees(pi)', math.degrees(math.pi), 180.0) |
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62 testit('degrees(pi/2)', math.degrees(math.pi/2), 90.0) |
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63 testit('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0) |
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64 |
| 3950 | 65 print 'exp' |
| 66 testit('exp(-1)', math.exp(-1), 1/math.e) | |
| 67 testit('exp(0)', math.exp(0), 1) | |
| 68 testit('exp(1)', math.exp(1), math.e) | |
| 69 | |
| 70 print 'fabs' | |
| 71 testit('fabs(-1)', math.fabs(-1), 1) | |
| 72 testit('fabs(0)', math.fabs(0), 0) | |
| 73 testit('fabs(1)', math.fabs(1), 1) | |
| 74 | |
| 75 print 'floor' | |
| 76 testit('floor(0.5)', math.floor(0.5), 0) | |
| 77 testit('floor(1.0)', math.floor(1.0), 1) | |
| 78 testit('floor(1.5)', math.floor(1.5), 1) | |
| 79 testit('floor(-0.5)', math.floor(-0.5), -1) | |
| 80 testit('floor(-1.0)', math.floor(-1.0), -1) | |
| 81 testit('floor(-1.5)', math.floor(-1.5), -2) | |
| 82 | |
| 83 print 'fmod' | |
| 84 testit('fmod(10,1)', math.fmod(10,1), 0) | |
| 85 testit('fmod(10,0.5)', math.fmod(10,0.5), 0) | |
| 86 testit('fmod(10,1.5)', math.fmod(10,1.5), 1) | |
| 87 testit('fmod(-10,1)', math.fmod(-10,1), 0) | |
| 88 testit('fmod(-10,0.5)', math.fmod(-10,0.5), 0) | |
| 89 testit('fmod(-10,1.5)', math.fmod(-10,1.5), -1) | |
| 90 | |
| 91 print 'frexp' | |
| 92 def testfrexp(name, (mant, exp), (emant, eexp)): | |
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93 if abs(mant-emant) > eps or exp != eexp: |
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94 raise TestFailed, '%s returned %s, expected %s'%\ |
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95 (name, `mant, exp`, `emant,eexp`) |
| 3950 | 96 |
| 97 testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1)) | |
| 98 testfrexp('frexp(0)', math.frexp(0), (0, 0)) | |
| 99 testfrexp('frexp(1)', math.frexp(1), (0.5, 1)) | |
| 100 testfrexp('frexp(2)', math.frexp(2), (0.5, 2)) | |
| 101 | |
| 102 print 'hypot' | |
| 103 testit('hypot(0,0)', math.hypot(0,0), 0) | |
| 104 testit('hypot(3,4)', math.hypot(3,4), 5) | |
| 105 | |
| 106 print 'ldexp' | |
| 107 testit('ldexp(0,1)', math.ldexp(0,1), 0) | |
| 108 testit('ldexp(1,1)', math.ldexp(1,1), 2) | |
| 109 testit('ldexp(1,-1)', math.ldexp(1,-1), 0.5) | |
| 110 testit('ldexp(-1,1)', math.ldexp(-1,1), -2) | |
| 111 | |
| 112 print 'log' | |
| 113 testit('log(1/e)', math.log(1/math.e), -1) | |
| 114 testit('log(1)', math.log(1), 0) | |
| 115 testit('log(e)', math.log(math.e), 1) | |
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116 testit('log(32,2)', math.log(32,2), 5) |
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117 testit('log(10**40, 10)', math.log(10**40, 10), 40) |
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118 testit('log(10**40, 10**20)', math.log(10**40, 10**20), 2) |
| 3950 | 119 |
| 120 print 'log10' | |
| 121 testit('log10(0.1)', math.log10(0.1), -1) | |
| 122 testit('log10(1)', math.log10(1), 0) | |
| 123 testit('log10(10)', math.log10(10), 1) | |
| 124 | |
| 125 print 'modf' | |
| 126 def testmodf(name, (v1, v2), (e1, e2)): | |
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127 if abs(v1-e1) > eps or abs(v2-e2): |
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128 raise TestFailed, '%s returned %s, expected %s'%\ |
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129 (name, `v1,v2`, `e1,e2`) |
| 3950 | 130 |
| 131 testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0)) | |
| 132 testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0)) | |
| 133 | |
| 134 print 'pow' | |
| 135 testit('pow(0,1)', math.pow(0,1), 0) | |
| 136 testit('pow(1,0)', math.pow(1,0), 1) | |
| 137 testit('pow(2,1)', math.pow(2,1), 2) | |
| 138 testit('pow(2,-1)', math.pow(2,-1), 0.5) | |
| 139 | |
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140 print 'radians' |
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141 testit('radians(180)', math.radians(180), math.pi) |
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142 testit('radians(90)', math.radians(90), math.pi/2) |
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143 testit('radians(-45)', math.radians(-45), -math.pi/4) |
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144 |
| 3950 | 145 print 'sin' |
| 146 testit('sin(0)', math.sin(0), 0) | |
| 147 testit('sin(pi/2)', math.sin(math.pi/2), 1) | |
| 148 testit('sin(-pi/2)', math.sin(-math.pi/2), -1) | |
| 149 | |
| 150 print 'sinh' | |
| 151 testit('sinh(0)', math.sinh(0), 0) | |
| 152 testit('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1) | |
| 153 testit('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0) | |
| 154 | |
| 155 print 'sqrt' | |
| 156 testit('sqrt(0)', math.sqrt(0), 0) | |
| 157 testit('sqrt(1)', math.sqrt(1), 1) | |
| 158 testit('sqrt(4)', math.sqrt(4), 2) | |
| 159 | |
| 160 print 'tan' | |
| 161 testit('tan(0)', math.tan(0), 0) | |
| 162 testit('tan(pi/4)', math.tan(math.pi/4), 1) | |
| 163 testit('tan(-pi/4)', math.tan(-math.pi/4), -1) | |
| 164 | |
| 165 print 'tanh' | |
| 166 testit('tanh(0)', math.tanh(0), 0) | |
| 167 testit('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0) | |
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168 |
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169 # RED_FLAG 16-Oct-2000 Tim |
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170 # While 2.0 is more consistent about exceptions than previous releases, it |
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171 # still fails this part of the test on some platforms. For now, we only |
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172 # *run* test_exceptions() in verbose mode, so that this isn't normally |
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173 # tested. |
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174 |
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175 def test_exceptions(): |
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176 print 'exceptions' |
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177 try: |
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178 x = math.exp(-1000000000) |
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179 except: |
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180 # mathmodule.c is failing to weed out underflows from libm, or |
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181 # we've got an fp format with huge dynamic range |
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182 raise TestFailed("underflowing exp() should not have raised " |
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183 "an exception") |
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184 if x != 0: |
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185 raise TestFailed("underflowing exp() should have returned 0") |
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186 |
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187 # If this fails, probably using a strict IEEE-754 conforming libm, and x |
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188 # is +Inf afterwards. But Python wants overflows detected by default. |
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189 try: |
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190 x = math.exp(1000000000) |
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191 except OverflowError: |
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192 pass |
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193 else: |
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194 raise TestFailed("overflowing exp() didn't trigger OverflowError") |
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195 |
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196 # If this fails, it could be a puzzle. One odd possibility is that |
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197 # mathmodule.c's macros are getting confused while comparing |
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198 # Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE |
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199 # as a result (and so raising OverflowError instead). |
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200 try: |
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201 x = math.sqrt(-1.0) |
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202 except ValueError: |
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203 pass |
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204 else: |
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205 raise TestFailed("sqrt(-1) didn't raise ValueError") |
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206 |
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207 if verbose: |
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208 test_exceptions() |