|
2471
|
1 |
"{ Encoding: utf8 }"
|
|
|
2 |
|
|
2443
|
3 |
"{ Package: 'stx:goodies/regression' }"
|
|
|
4 |
|
|
|
5 |
"{ NameSpace: RegressionTests }"
|
|
|
6 |
|
|
|
7 |
TestCase subclass:#IEEEFloatTest
|
|
|
8 |
instanceVariableNames:''
|
|
|
9 |
classVariableNames:''
|
|
|
10 |
poolDictionaries:''
|
|
|
11 |
category:'tests-Regression-Numbers'
|
|
|
12 |
!
|
|
|
13 |
|
|
|
14 |
|
|
|
15 |
!IEEEFloatTest class methodsFor:'helpers'!
|
|
|
16 |
|
|
|
17 |
actualPrecisionOf:aFloatClass
|
|
|
18 |
"get the actual number of valid bits in the mantissa.
|
|
|
19 |
This does a real test (i.e. does not believe the compiled-in ifdefs)"
|
|
|
20 |
|
|
|
21 |
|one x count|
|
|
|
22 |
|
|
|
23 |
one := aFloatClass unity. "/ 1.0 in this class
|
|
|
24 |
x := one.
|
|
|
25 |
count := 0.
|
|
|
26 |
|
|
|
27 |
[one + x > one] whileTrue:[
|
|
|
28 |
x := x / 2.
|
|
|
29 |
count := count + 1.
|
|
|
30 |
].
|
|
|
31 |
^ count
|
|
|
32 |
|
|
|
33 |
"
|
|
|
34 |
self actualPrecisionOf:ShortFloat
|
|
|
35 |
self actualPrecisionOf:Float
|
|
|
36 |
self actualPrecisionOf:LongFloat
|
|
|
37 |
"
|
|
|
38 |
! !
|
|
|
39 |
|
|
|
40 |
!IEEEFloatTest methodsFor:'tests'!
|
|
|
41 |
|
|
|
42 |
test00_Precision
|
|
|
43 |
"computed precision vs. assumed precision."
|
|
|
44 |
|
|
|
45 |
"/ verify IEEE values
|
|
2458
|
46 |
self assert:((IEEEFloat fromFloat:1.0) radix == 2).
|
|
|
47 |
|
|
2443
|
48 |
self assert:((IEEEFloat fromFloat:1.0) emin == 1.0 emin).
|
|
|
49 |
self assert:((IEEEFloat fromFloat:1.0) emax == 1.0 emax).
|
|
|
50 |
self assert:((IEEEFloat fromFloat:1.0) eBias == 1.0 eBias).
|
|
|
51 |
|
|
|
52 |
self assert:((IEEEFloat fromFloat:1.0 asShortFloat) emin == 1.0 asShortFloat emin).
|
|
|
53 |
self assert:((IEEEFloat fromFloat:1.0 asShortFloat) emax == 1.0 asShortFloat emax).
|
|
|
54 |
self assert:((IEEEFloat fromFloat:1.0 asShortFloat) eBias == 1.0 asShortFloat eBias).
|
|
|
55 |
|
|
|
56 |
self assert:((IEEEFloat fromFloat:1.0 asLongFloat) emin == 1.0 asLongFloat emin).
|
|
|
57 |
self assert:((IEEEFloat fromFloat:1.0 asLongFloat) emax == 1.0 asLongFloat emax).
|
|
|
58 |
self assert:((IEEEFloat fromFloat:1.0 asLongFloat) eBias == 1.0 asLongFloat eBias).
|
|
|
59 |
|
|
|
60 |
"
|
|
|
61 |
self basicNew test00_Precision
|
|
|
62 |
"
|
|
|
63 |
!
|
|
|
64 |
|
|
|
65 |
test01_Nan
|
|
|
66 |
"NaN in all avaliable formats."
|
|
|
67 |
|
|
|
68 |
|shouldBeNaN|
|
|
|
69 |
|
|
|
70 |
shouldBeNaN := 0.0 asIEEEFloat uncheckedDivide: 0.0 asIEEEFloat.
|
|
|
71 |
self assert:( shouldBeNaN isNaN ).
|
|
|
72 |
self assert:( shouldBeNaN isFinite not ).
|
|
|
73 |
|
|
|
74 |
"/ but these are:
|
|
|
75 |
self assert:( shouldBeNaN + 1 ) isNaN.
|
|
|
76 |
self assert:( shouldBeNaN + 1.0 ) isNaN.
|
|
|
77 |
self assert:( shouldBeNaN + 1.0 asShortFloat ) isNaN.
|
|
|
78 |
self assert:( shouldBeNaN + 1.0 asLongFloat ) isNaN.
|
|
|
79 |
|
|
|
80 |
self assert:( shouldBeNaN - 1 ) isNaN.
|
|
|
81 |
self assert:( shouldBeNaN - 1.0 ) isNaN.
|
|
|
82 |
self assert:( shouldBeNaN - 1.0 asShortFloat ) isNaN.
|
|
|
83 |
self assert:( shouldBeNaN - 1.0 asLongFloat ) isNaN.
|
|
|
84 |
|
|
|
85 |
self assert:( shouldBeNaN * 1 ) isNaN.
|
|
|
86 |
self assert:( shouldBeNaN * 1.0 ) isNaN.
|
|
|
87 |
self assert:( shouldBeNaN * 1.0 asShortFloat ) isNaN.
|
|
|
88 |
self assert:( shouldBeNaN * 1.0 asLongFloat ) isNaN.
|
|
|
89 |
|
|
|
90 |
self assert:( shouldBeNaN * 2 ) isNaN.
|
|
|
91 |
self assert:( shouldBeNaN * 2.0 ) isNaN.
|
|
|
92 |
self assert:( shouldBeNaN * 2.0 asShortFloat ) isNaN.
|
|
|
93 |
self assert:( shouldBeNaN * 2.0 asLongFloat ) isNaN.
|
|
|
94 |
|
|
|
95 |
self assert:( shouldBeNaN / 1 ) isNaN.
|
|
|
96 |
self assert:( shouldBeNaN / 1.0 ) isNaN.
|
|
|
97 |
self assert:( shouldBeNaN / 1.0 asShortFloat ) isNaN.
|
|
|
98 |
self assert:( shouldBeNaN / 1.0 asLongFloat ) isNaN.
|
|
|
99 |
|
|
|
100 |
"
|
|
|
101 |
self basicNew test01_Nan
|
|
|
102 |
"
|
|
|
103 |
|
|
|
104 |
"Modified: / 20-06-2017 / 14:00:08 / cg"
|
|
|
105 |
!
|
|
|
106 |
|
|
|
107 |
test02_Inf
|
|
|
108 |
"Infinity in all avaliable formats."
|
|
|
109 |
|
|
|
110 |
|check posInf negInf|
|
|
|
111 |
|
|
|
112 |
check :=
|
|
|
113 |
[:v1 :v2 |
|
|
|
114 |
|
|
|
115 |
posInf := v1 uncheckedDivide: v2.
|
|
|
116 |
|
|
|
117 |
self assert:( posInf isMemberOf:v1 class ).
|
|
|
118 |
self assert:( posInf isNaN not ).
|
|
|
119 |
self assert:( posInf isFinite not ).
|
|
|
120 |
self assert:( posInf isInfinite ).
|
|
|
121 |
self assert:( posInf positive ).
|
|
|
122 |
self assert:( posInf negative not ).
|
|
|
123 |
self assert:( posInf isNegativeInfinity not).
|
|
|
124 |
self assert:( posInf isPositiveInfinity ).
|
|
|
125 |
|
|
|
126 |
negInf := v1 negated uncheckedDivide: v2.
|
|
|
127 |
|
|
|
128 |
self assert:( negInf isMemberOf:v1 class ).
|
|
|
129 |
self assert:( negInf isNaN not ).
|
|
|
130 |
self assert:( negInf isFinite not ).
|
|
|
131 |
self assert:( negInf isInfinite ).
|
|
|
132 |
self assert:( negInf positive not).
|
|
|
133 |
self assert:( negInf negative ).
|
|
|
134 |
self assert:( negInf isNegativeInfinity ).
|
|
|
135 |
self assert:( negInf isPositiveInfinity not ).
|
|
|
136 |
|
|
|
137 |
self assert:( negInf + negInf = negInf).
|
|
|
138 |
self assert:( posInf + posInf = posInf).
|
|
|
139 |
self assert:( negInf + posInf) isNaN.
|
|
|
140 |
self assert:( posInf + negInf) isNaN.
|
|
|
141 |
|
|
|
142 |
self assert:( negInf - posInf = negInf).
|
|
|
143 |
self assert:( negInf - negInf) isNaN.
|
|
|
144 |
self assert:( posInf - negInf = posInf).
|
|
|
145 |
self assert:( posInf - posInf) isNaN.
|
|
|
146 |
|
|
|
147 |
self assert:( posInf + v1) = posInf.
|
|
|
148 |
self assert:( posInf - v1) = posInf.
|
|
|
149 |
self assert:( negInf + v1) = negInf.
|
|
|
150 |
self assert:( negInf - v1) = negInf.
|
|
|
151 |
].
|
|
|
152 |
|
|
|
153 |
check value: 1.0 value: 0.0.
|
|
|
154 |
check value: 1.0 asShortFloat value: 0.0 asShortFloat.
|
|
|
155 |
check value: 1.0 asLongFloat value: 0.0 asLongFloat.
|
|
|
156 |
|
|
|
157 |
"/ these are not guaranteed to work with uncheckedDivide...
|
|
|
158 |
"/ check value: 1.0 value: 0.0 asShortFloat.
|
|
|
159 |
"/ check value: 1.0 value: 0.0 asLongFloat.
|
|
|
160 |
"/
|
|
|
161 |
"/ check value: 1.0 asShortFloat value: 0.0.
|
|
|
162 |
"/ check value: 1.0 asShortFloat value: 0.0 asLongFloat.
|
|
|
163 |
"/
|
|
|
164 |
"/ check value: 1.0 asLongFloat value: 0.0 asShortFloat.
|
|
|
165 |
"/ check value: 1.0 asLongFloat value: 0.0.
|
|
|
166 |
|
|
|
167 |
{ Float . ShortFloat . LongFloat }
|
|
|
168 |
do:[:cls |
|
|
|
169 |
posInf := cls infinity.
|
|
|
170 |
self assert:( posInf isInfinite ).
|
|
|
171 |
self assert:( posInf isFinite not ).
|
|
|
172 |
self assert:( posInf > 0 ).
|
|
|
173 |
self assert:( posInf >= 0 ).
|
|
|
174 |
self assert:( posInf < 0 ) not.
|
|
|
175 |
self assert:( posInf <= 0 ) not.
|
|
|
176 |
|
|
|
177 |
negInf := cls negativeInfinity.
|
|
|
178 |
self assert:( negInf isInfinite ).
|
|
|
179 |
self assert:( negInf isFinite not ).
|
|
|
180 |
self assert:( negInf < 0 ).
|
|
|
181 |
self assert:( negInf <= 0 ).
|
|
|
182 |
self assert:( negInf > 0 ) not.
|
|
|
183 |
self assert:( negInf >= 0 ) not.
|
|
|
184 |
|
|
|
185 |
self assert:(posInf isNaN not).
|
|
|
186 |
self assert:(posInf isFinite not).
|
|
|
187 |
self assert:(posInf isInfinite).
|
|
|
188 |
|
|
|
189 |
self assert:(negInf isNaN not).
|
|
|
190 |
self assert:(negInf isFinite not).
|
|
|
191 |
self assert:(negInf isInfinite).
|
|
|
192 |
|
|
|
193 |
self assert:(posInf negated = negInf).
|
|
|
194 |
self assert:(negInf negated = posInf).
|
|
|
195 |
|
|
|
196 |
].
|
|
|
197 |
|
|
|
198 |
"
|
|
|
199 |
self basicNew test02_Inf
|
|
|
200 |
"
|
|
|
201 |
|
|
|
202 |
"Modified: / 20-06-2017 / 14:03:08 / cg"
|
|
|
203 |
"Modified: / 10-06-2019 / 23:45:05 / Claus Gittinger"
|
|
|
204 |
!
|
|
|
205 |
|
|
|
206 |
test03_Conversion
|
|
|
207 |
self assert:( 1.0 asTrueFraction == 1 ).
|
|
|
208 |
self assert:( 2.0 asTrueFraction == 2 ).
|
|
|
209 |
self assert:( 4.0 asTrueFraction == 4 ).
|
|
|
210 |
self assert:( 8.0 asTrueFraction == 8 ).
|
|
|
211 |
self assert:( 16.0 asTrueFraction == 16 ).
|
|
|
212 |
self assert:( 1048576.0 asTrueFraction == 1048576 ).
|
|
|
213 |
self assert:( 0.5 asTrueFraction = (1/2) ).
|
|
|
214 |
self assert:( 0.25 asTrueFraction = (1/4) ).
|
|
|
215 |
self assert:( 0.125 asTrueFraction = (1/8) ).
|
|
|
216 |
|
|
|
217 |
self assert:( 1.0 asShortFloat asTrueFraction == 1 ).
|
|
|
218 |
self assert:( 2.0 asShortFloat asTrueFraction == 2 ).
|
|
|
219 |
self assert:( 4.0 asShortFloat asTrueFraction == 4 ).
|
|
|
220 |
self assert:( 8.0 asShortFloat asTrueFraction == 8 ).
|
|
|
221 |
self assert:( 16.0 asShortFloat asTrueFraction == 16 ).
|
|
|
222 |
self assert:( 1048576.0 asShortFloat asTrueFraction == 1048576 ).
|
|
|
223 |
self assert:( 0.5 asShortFloat asTrueFraction = (1/2) ).
|
|
|
224 |
self assert:( 0.25 asShortFloat asTrueFraction = (1/4) ).
|
|
|
225 |
self assert:( 0.125 asShortFloat asTrueFraction = (1/8) ).
|
|
|
226 |
|
|
|
227 |
self assert:( 1.0 asLongFloat asTrueFraction == 1 ).
|
|
|
228 |
self assert:( 2.0 asLongFloat asTrueFraction == 2 ).
|
|
|
229 |
self assert:( 4.0 asLongFloat asTrueFraction == 4 ).
|
|
|
230 |
self assert:( 8.0 asLongFloat asTrueFraction == 8 ).
|
|
|
231 |
self assert:( 16.0 asLongFloat asTrueFraction == 16 ).
|
|
|
232 |
self assert:( 1048576.0 asLongFloat asTrueFraction == 1048576 ).
|
|
|
233 |
self assert:( 0.5 asLongFloat asTrueFraction = (1/2) ).
|
|
|
234 |
self assert:( 0.25 asLongFloat asTrueFraction = (1/4) ).
|
|
|
235 |
self assert:( 0.125 asLongFloat asTrueFraction = (1/8) ).
|
|
|
236 |
|
|
|
237 |
self assert: ((5/9) asFloat - 0.555555555555) abs < 0.0000000001.
|
|
|
238 |
self assert: ((5/9) asLongFloat - 0.555555555555) abs < 0.0000000001.
|
|
|
239 |
self assert: ((Fraction basicNew setNumerator:500000000000 denominator:900000000000)
|
|
|
240 |
asLongFloat - 0.555555555555) abs < 0.000000000001.
|
|
|
241 |
self assert: ((Fraction basicNew setNumerator:500000000001 denominator:900000000000)
|
|
|
242 |
asLongFloat - 0.555555555555) abs >= 0.000000000001.
|
|
|
243 |
|
|
|
244 |
"/ under windows, a longFloat has only 10bytes with 64 bits precision
|
|
|
245 |
OperatingSystem isMSWINDOWSlike ifFalse:[
|
|
|
246 |
self assert: (8901234567890123456 asLongFloat asInteger = 8901234567890123456).
|
|
|
247 |
self assert: (-8901234567890123456 asLongFloat asInteger = -8901234567890123456).
|
|
|
248 |
].
|
|
|
249 |
self assert: (89012345678901234567 asLongFloat = 89012345678901234567).
|
|
|
250 |
self assert: (-89012345678901234567 asLongFloat = -89012345678901234567).
|
|
|
251 |
self assert: (89012345678901234567 negated asLongFloat = -89012345678901234567).
|
|
|
252 |
|
|
|
253 |
self assert: ((89012345678901234567 / 123456789123456789) asLongFloat - (89012345678901234567 asLongFloat / 123456789123456789 asLongFloat) ) abs < 0.000000000001.
|
|
|
254 |
self assert: ((-89012345678901234567 / 123456789123456789) asLongFloat - (-89012345678901234567 asLongFloat / 123456789123456789 asLongFloat)) abs < 0.000000000001.
|
|
|
255 |
|
|
|
256 |
"
|
|
|
257 |
self basicNew test03_Conversion
|
|
|
258 |
"
|
|
|
259 |
|
|
|
260 |
"Modified: / 09-08-2011 / 21:01:57 / cg"
|
|
|
261 |
!
|
|
|
262 |
|
|
|
263 |
test04_Arithmetic
|
|
|
264 |
self assert:( 1.0 asIEEEFloat + 1.0) class == IEEEFloat.
|
|
|
265 |
self assert:( 1.0 asIEEEFloat + 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
266 |
self assert:( 1.0 asIEEEFloat + 1.0 asShortFloat) class == IEEEFloat.
|
|
|
267 |
self assert:( 1.0 asIEEEFloat + 1.0 asLongFloat) class == IEEEFloat.
|
|
2471
|
268 |
self assert:( 1.0 asIEEEFloat + 1) class == IEEEFloat.
|
|
|
269 |
self assert:( -1.6 asIEEEFloat + 1) class == IEEEFloat.
|
|
|
270 |
self assert:( -1.6 asIEEEFloat + -1) class == IEEEFloat.
|
|
|
271 |
self assert:( 1 + 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
272 |
self assert:( 1.0 + 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
273 |
self assert:( 1.0 asShortFloat + 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
274 |
self assert:( 1.0 asLongFloat + 1.0 asIEEEFloat) class == IEEEFloat.
|
|
2443
|
275 |
|
|
2448
|
276 |
self assert:( 1.0 asIEEEFloat - 1.0 ) isZero. "/ class == IEEEFloat.
|
|
|
277 |
self assert:( 1.0 asIEEEFloat - 1.0 asIEEEFloat) isZero. "/ class == IEEEFloat.
|
|
|
278 |
self assert:( 1.0 asIEEEFloat - 1.0 asShortFloat) isZero. "/ class == IEEEFloat.
|
|
|
279 |
self assert:( 1.0 asIEEEFloat - 1.0 asLongFloat) isZero. "/ class == IEEEFloat.
|
|
2471
|
280 |
self assert:( 2.0 asIEEEFloat - 1) class == IEEEFloat.
|
|
|
281 |
self assert:( -1.6 asIEEEFloat - 1) class == IEEEFloat.
|
|
|
282 |
self assert:( -1.6 asIEEEFloat - -1) class == IEEEFloat.
|
|
2443
|
283 |
|
|
|
284 |
self assert:( 1.0 asIEEEFloat * 1.0 ) class == IEEEFloat.
|
|
|
285 |
self assert:( 1.0 asIEEEFloat * 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
286 |
self assert:( 1.0 asIEEEFloat * 1.0 asShortFloat) class == IEEEFloat.
|
|
|
287 |
self assert:( 1.0 asIEEEFloat * 1.0 asLongFloat) class == IEEEFloat.
|
|
2471
|
288 |
self assert:( 1.0 asIEEEFloat * 1) class == IEEEFloat.
|
|
|
289 |
self assert:( 1 * 1.0 asIEEEFloat) class == IEEEFloat.
|
|
2443
|
290 |
|
|
|
291 |
self assert:( 1.0 asIEEEFloat / 1.0 ) class == IEEEFloat.
|
|
|
292 |
self assert:( 1.0 asIEEEFloat / 1.0 asIEEEFloat) class == IEEEFloat.
|
|
|
293 |
self assert:( 1.0 asIEEEFloat / 1.0 asShortFloat) class == IEEEFloat.
|
|
|
294 |
self assert:( 1.0 asIEEEFloat / 1.0 asLongFloat) class == IEEEFloat.
|
|
2448
|
295 |
"/ self assert:( 1.0 asIEEEFloat / 1) class == IEEEFloat.
|
|
2443
|
296 |
|
|
2451
|
297 |
"/ self assert:( 5.0 asIEEEFloat rem: 2.0 ) class == IEEEFloat.
|
|
|
298 |
"/ self assert:( 1.0 asIEEEFloat rem: 2.0 asIEEEFloat) class == IEEEFloat.
|
|
|
299 |
"/ self assert:( 5.0 asIEEEFloat rem: 2.0 asShortFloat) class == IEEEFloat.
|
|
|
300 |
"/ self assert:( 5.0 asIEEEFloat rem: 2.0 asLongFloat) class == IEEEFloat.
|
|
|
301 |
"/ "/ self assert:( 5.0 asIEEEFloat rem: 2) class == IEEEFloat.
|
|
2443
|
302 |
|
|
|
303 |
"
|
|
|
304 |
self basicNew test04_Arithmetic
|
|
|
305 |
"
|
|
|
306 |
!
|
|
|
307 |
|
|
|
308 |
test05_Comparing
|
|
|
309 |
|convArray check v1 v2 v1b|
|
|
|
310 |
|
|
2462
|
311 |
self assert:( 0.0 = -0.0).
|
|
|
312 |
self assert:( 0.0 asIEEEFloat = -0.0 asIEEEFloat).
|
|
|
313 |
self assert:( 0.0 asIEEEFloat = 0.0).
|
|
|
314 |
self assert:( 0.0 asIEEEFloat = -0.0).
|
|
|
315 |
self assert:( -0.0 asIEEEFloat = 0.0).
|
|
|
316 |
self assert:( -0.0 asIEEEFloat = -0.0).
|
|
|
317 |
|
|
2464
|
318 |
self assert:(0.0 < 0.0 asIEEEFloat) not.
|
|
|
319 |
self assert:(0.0 > 0.0 asIEEEFloat) not.
|
|
|
320 |
self assert:(0.0 = 0.0 asIEEEFloat).
|
|
|
321 |
|
|
|
322 |
-0.0 > 0.0 asIEEEFloat.
|
|
|
323 |
self assert:(-0.0 < 0.0 asIEEEFloat) not.
|
|
|
324 |
self assert:(-0.0 > 0.0 asIEEEFloat) not.
|
|
|
325 |
self assert:(-0.0 = 0.0 asIEEEFloat).
|
|
|
326 |
|
|
|
327 |
self assert:(0.0 asIEEEFloat < 0.0) not.
|
|
|
328 |
self assert:(0.0 asIEEEFloat > 0.0) not.
|
|
|
329 |
self assert:(0.0 asIEEEFloat = 0.0).
|
|
|
330 |
|
|
|
331 |
self assert:(-0.0 asIEEEFloat < 0.0) not.
|
|
|
332 |
self assert:(-0.0 asIEEEFloat > 0.0) not.
|
|
|
333 |
self assert:(-0.0 asIEEEFloat = 0.0).
|
|
|
334 |
|
|
|
335 |
self assert:(0.0 asIEEEFloat < 0.0 asIEEEFloat) not.
|
|
|
336 |
self assert:(0.0 asIEEEFloat > 0.0 asIEEEFloat) not.
|
|
|
337 |
self assert:(0.0 asIEEEFloat = 0.0 asIEEEFloat).
|
|
|
338 |
|
|
|
339 |
self assert:(-0.0 asIEEEFloat < 0.0 asIEEEFloat) not.
|
|
|
340 |
self assert:(-0.0 asIEEEFloat > 0.0 asIEEEFloat) not.
|
|
|
341 |
self assert:(-0.0 asIEEEFloat = 0.0 asIEEEFloat).
|
|
|
342 |
|
|
|
343 |
self assert:( -0.0 asIEEEFloat sign == 0).
|
|
|
344 |
self assert:( -0.0 asIEEEFloat positive).
|
|
|
345 |
self assert:( -0.0 asIEEEFloat strictlyPositive not).
|
|
|
346 |
self assert:( -0.0 asIEEEFloat negative not).
|
|
|
347 |
|
|
|
348 |
self assert:((IEEEFloat readFrom:'-0.0') sign == 0).
|
|
|
349 |
self assert:( (IEEEFloat readFrom:'-0.0') positive).
|
|
|
350 |
self assert:( (IEEEFloat readFrom:'-0.0') strictlyPositive not).
|
|
|
351 |
self assert:( (IEEEFloat readFrom:'-0.0') negative not).
|
|
|
352 |
|
|
|
353 |
self assert:( 0.0 asIEEEFloat sign == 0).
|
|
|
354 |
self assert:( -0.0 asIEEEFloat sign == 0).
|
|
|
355 |
|
|
2451
|
356 |
self assert:( 1.0 asIEEEFloat = 1.0).
|
|
|
357 |
self assert:( 1.0 asIEEEFloat = 1.0 asIEEEFloat).
|
|
|
358 |
self assert:( 1.0 asIEEEFloat = 1.0 asShortFloat).
|
|
|
359 |
|
|
|
360 |
"/ fails currently
|
|
|
361 |
"/ self assert:( 1.0 asIEEEFloat = 1.0 asLongFloat).
|
|
|
362 |
|
|
2443
|
363 |
convArray := OrderedCollection new.
|
|
2451
|
364 |
convArray addAll:#(asInteger asFloat asShortFloat asLongFloat).
|
|
2443
|
365 |
|
|
|
366 |
(Smalltalk at:#LargeFloat) notNil ifTrue:[
|
|
|
367 |
convArray add:#asLargeFloat.
|
|
|
368 |
].
|
|
|
369 |
(Smalltalk at:#QDouble) notNil ifTrue:[
|
|
|
370 |
convArray add:#asQDouble.
|
|
|
371 |
].
|
|
|
372 |
|
|
|
373 |
check := [:iv1 :iv2|
|
|
|
374 |
convArray do:[:conv1 |
|
|
|
375 |
v1 := (iv1 perform:conv1).
|
|
|
376 |
|
|
|
377 |
self assert:( v1 = nil ) not.
|
|
|
378 |
self assert:( nil = v1 ) not.
|
|
|
379 |
self assert:( v1 ~= nil ).
|
|
|
380 |
self assert:( nil ~= v1 ).
|
|
|
381 |
|
|
|
382 |
convArray do:[:conv2 |
|
|
|
383 |
v1b := (iv1 perform:conv2).
|
|
|
384 |
|
|
|
385 |
self assert:( v1 = v1b ).
|
|
|
386 |
self assert:( v1 <= v1b ).
|
|
|
387 |
self assert:( v1 >= v1b ).
|
|
|
388 |
|
|
|
389 |
v2 := (iv2 perform:conv2).
|
|
|
390 |
|
|
|
391 |
self assert:( v1 < v2 ).
|
|
|
392 |
self assert:( v1 <= v2 ).
|
|
|
393 |
self assert:( v2 >= v1 ).
|
|
|
394 |
self assert:( v2 > v1 ).
|
|
|
395 |
]
|
|
|
396 |
].
|
|
|
397 |
].
|
|
|
398 |
|
|
2451
|
399 |
check value:2.0 asIEEEFloat value:3.
|
|
|
400 |
check value:0.0 asIEEEFloat value:1.
|
|
|
401 |
check value:-1.0 asIEEEFloat value:0.
|
|
|
402 |
check value:-3.0 asIEEEFloat value:-2.
|
|
|
403 |
check value:-3.0 asIEEEFloat value:3.
|
|
2443
|
404 |
|
|
2451
|
405 |
check value:-30.0 asIEEEFloat value:1.
|
|
|
406 |
check value:-1.0 asIEEEFloat value:30.
|
|
2443
|
407 |
|
|
2451
|
408 |
|
|
2459
|
409 |
self assert:( 2000000.0 asIEEEFloat = 2000000.0 ).
|
|
|
410 |
self assert:( (IEEEFloat fromInteger:2000000) = 2000000.0 asIEEEFloat ).
|
|
2451
|
411 |
self assert:( 2000000.0 asIEEEFloat = 2000000 ).
|
|
|
412 |
self assert:( 2000000 = 2000000.0 asIEEEFloat ).
|
|
2443
|
413 |
|
|
2451
|
414 |
self assert:( 2000000.0 asIEEEFloat <= 200000100000000000000 ).
|
|
|
415 |
self assert:( 2000000.0 asIEEEFloat <= 2000000 ).
|
|
2443
|
416 |
|
|
2451
|
417 |
self assert:( 2000000 <= 2000000.0 asIEEEFloat ).
|
|
|
418 |
self assert:( 2000000 <= 2000000.0 asIEEEFloat ).
|
|
2443
|
419 |
|
|
|
420 |
"
|
|
|
421 |
self basicNew test05_Comparing
|
|
|
422 |
"
|
|
|
423 |
|
|
|
424 |
"Modified: / 06-05-2019 / 14:11:42 / Claus Gittinger"
|
|
|
425 |
!
|
|
|
426 |
|
|
|
427 |
test06_MiscMath
|
|
|
428 |
|epsilon|
|
|
|
429 |
|
|
|
430 |
epsilon := 0.000001.
|
|
|
431 |
|
|
2472
|
432 |
"/ 0.0 cosh.
|
|
|
433 |
self assert:0.0 asIEEEFloat cosh = 1.0.
|
|
|
434 |
|
|
2443
|
435 |
#(
|
|
|
436 |
sqrt 0.5 0.707107
|
|
|
437 |
sqrt 4 2.0
|
|
|
438 |
exp 0.5 1.64872
|
|
|
439 |
ln 0.5 -0.693147
|
|
|
440 |
log10 0.5 -0.30103
|
|
|
441 |
|
|
|
442 |
sin 0.5 0.479426
|
|
|
443 |
cos 0.5 0.877583
|
|
|
444 |
tan 0.5 0.546302
|
|
|
445 |
arcSin 0.5 0.523599
|
|
|
446 |
arcCos 0.5 1.0472
|
|
|
447 |
arcTan 0.5 0.463648
|
|
|
448 |
sinh 0.5 0.521095
|
|
|
449 |
cosh 0.5 1.12763
|
|
|
450 |
tanh 0.5 0.462117
|
|
|
451 |
arcSinh 0.5 0.481212
|
|
|
452 |
arcCosh 1.5 1.24983
|
|
|
453 |
arcTanh 0.5 0.549306
|
|
|
454 |
|
|
|
455 |
sin 0.0 0.0
|
|
|
456 |
cos 0.0 1.0
|
|
|
457 |
tan 0.0 0.0
|
|
|
458 |
sinh 0.0 0.0
|
|
|
459 |
cosh 0.0 1.0
|
|
|
460 |
tanh 0.0 0.0
|
|
|
461 |
|
|
|
462 |
sin 1.0 0.841471
|
|
|
463 |
cos 1.0 0.540302
|
|
|
464 |
tan 1.0 1.55741
|
|
|
465 |
sinh 1.0 1.1752
|
|
|
466 |
cosh 1.0 1.54308
|
|
|
467 |
tanh 1.0 0.761594
|
|
|
468 |
|
|
|
469 |
sin 3.14159 0.0
|
|
|
470 |
cos 3.14159 -1.0
|
|
|
471 |
tan 3.14159 0.0
|
|
|
472 |
sinh 3.14159 11.5487
|
|
|
473 |
cosh 3.14159 11.5919
|
|
|
474 |
tanh 3.14159 0.996272
|
|
|
475 |
|
|
|
476 |
|
|
|
477 |
tan 0.785398 1.0 "pi/4 -> should be 1"
|
|
|
478 |
arcCos -1.0 3.14159 "should be pi"
|
|
|
479 |
arcSin 1.0 1.5708 "should be pi/2 (1.5708)"
|
|
|
480 |
arcTan 1.0 0.785398 "should be pi/4 (.785398)"
|
|
|
481 |
) inGroupsOf:3 do:[:op :x :expected|
|
|
2472
|
482 |
|rslt rsltIEEEFloat|
|
|
2443
|
483 |
|
|
|
484 |
rslt := x perform:op.
|
|
2472
|
485 |
rsltIEEEFloat := x asIEEEFloat perform:op.
|
|
2443
|
486 |
|
|
|
487 |
self assert:(rslt class == Float).
|
|
2472
|
488 |
self assert:((rsltIEEEFloat class == IEEEFloat) or:[rsltIEEEFloat class == Float]).
|
|
2443
|
489 |
|
|
2472
|
490 |
self assert:( rslt - rsltIEEEFloat ) < epsilon.
|
|
2443
|
491 |
].
|
|
|
492 |
|
|
2472
|
493 |
self should:[ -2 asIEEEFloat arcSin ] raise:DomainError.
|
|
|
494 |
self should:[ -2 asIEEEFloat arcCos ] raise:DomainError.
|
|
|
495 |
self should:[ -1 asIEEEFloat arcTanh ] raise:DomainError.
|
|
2443
|
496 |
|
|
|
497 |
#(
|
|
|
498 |
0.0
|
|
|
499 |
0.5
|
|
|
500 |
1.0
|
|
|
501 |
2.0
|
|
|
502 |
1.57079
|
|
|
503 |
) do:[:x |
|
|
2472
|
504 |
self assert:( x asIEEEFloat sin arcSin - x < epsilon).
|
|
|
505 |
self assert:( x asIEEEFloat cos arcCos - x < epsilon).
|
|
|
506 |
self assert:( x asIEEEFloat tan arcTan - x < epsilon).
|
|
2443
|
507 |
].
|
|
|
508 |
|
|
|
509 |
#(
|
|
|
510 |
-1.0
|
|
|
511 |
-0.5
|
|
|
512 |
0.0
|
|
|
513 |
0.5
|
|
|
514 |
1.0
|
|
|
515 |
) do:[:x |
|
|
2472
|
516 |
self assert:( x asIEEEFloat arcSin sin - x < epsilon).
|
|
|
517 |
self assert:( x asIEEEFloat arcCos cos - x < epsilon).
|
|
|
518 |
self assert:( x asIEEEFloat arcTan tan - x < epsilon).
|
|
2443
|
519 |
].
|
|
|
520 |
|
|
|
521 |
#(
|
|
|
522 |
0.0
|
|
|
523 |
0.5
|
|
|
524 |
1.0
|
|
|
525 |
2.0
|
|
|
526 |
10
|
|
|
527 |
) do:[:x |
|
|
2472
|
528 |
self assert:( x asIEEEFloat cosh arcCosh - x < epsilon).
|
|
2443
|
529 |
].
|
|
|
530 |
#(
|
|
|
531 |
-10
|
|
|
532 |
-2
|
|
|
533 |
-1
|
|
|
534 |
-0.5
|
|
|
535 |
0.0
|
|
|
536 |
0.5
|
|
|
537 |
1.0
|
|
|
538 |
2.0
|
|
|
539 |
10
|
|
|
540 |
) do:[:x |
|
|
2472
|
541 |
self assert:( x asIEEEFloat sinh arcSinh - x < epsilon).
|
|
|
542 |
self assert:( x asIEEEFloat tanh arcTanh - x < epsilon).
|
|
2443
|
543 |
].
|
|
|
544 |
|
|
|
545 |
|
|
|
546 |
#(
|
|
|
547 |
-0.99
|
|
|
548 |
-0.5
|
|
|
549 |
0.0
|
|
|
550 |
0.5
|
|
|
551 |
0.99
|
|
|
552 |
) do:[:x |
|
|
2472
|
553 |
self assert:( x asIEEEFloat arcTanh - (( ( (1+x)/(1-x) ) ln ) / 2 ) ) < epsilon.
|
|
2443
|
554 |
].
|
|
|
555 |
|
|
|
556 |
#(
|
|
|
557 |
-10
|
|
|
558 |
-5
|
|
|
559 |
-2.0
|
|
|
560 |
-1.0
|
|
|
561 |
0.0
|
|
|
562 |
1.0
|
|
|
563 |
2.0
|
|
|
564 |
10
|
|
|
565 |
) do:[:x |
|
|
2472
|
566 |
self assert:( x asIEEEFloat arcSinh sinh - x < epsilon).
|
|
2443
|
567 |
].
|
|
|
568 |
|
|
|
569 |
#(
|
|
|
570 |
1.0
|
|
|
571 |
2.0
|
|
|
572 |
10.0
|
|
|
573 |
) do:[:x |
|
|
2472
|
574 |
self assert:( x asIEEEFloat arcCosh cosh - x < epsilon).
|
|
2443
|
575 |
].
|
|
|
576 |
|
|
2472
|
577 |
self assert:(2.0 asIEEEFloat raisedTo:2) = 4.0 asIEEEFloat.
|
|
|
578 |
self assert:(2 asIEEEFloat raisedTo:2.0) = 4.0 asIEEEFloat.
|
|
|
579 |
self assert:(2.0 raisedTo:2.0 asIEEEFloat) = 4.0 asIEEEFloat.
|
|
|
580 |
self assert:(2.0 asIEEEFloat raisedTo:2.0 asIEEEFloat) = 4.0 asIEEEFloat.
|
|
2443
|
581 |
|
|
|
582 |
"
|
|
|
583 |
self basicNew test06_MiscMath
|
|
|
584 |
"
|
|
|
585 |
|
|
|
586 |
"Modified: / 02-07-2017 / 00:51:05 / cg"
|
|
|
587 |
!
|
|
|
588 |
|
|
|
589 |
test07_Truncation
|
|
2462
|
590 |
|t check|
|
|
|
591 |
|
|
|
592 |
t := 0.0 asIEEEFloat coerce:0.
|
|
|
593 |
self assert:(t isZero).
|
|
|
594 |
self assert:(t = 0.0 asIEEEFloat).
|
|
|
595 |
self assert:(t = 0.0).
|
|
|
596 |
|
|
2443
|
597 |
|
|
|
598 |
check := [:num |
|
|
2459
|
599 |
|nIEEE|
|
|
|
600 |
|
|
|
601 |
nIEEE := num asIEEEFloat.
|
|
|
602 |
self assert:( nIEEE fractionPart ) = num fractionPart asIEEEFloat.
|
|
|
603 |
nIEEE truncatedAsFloat.
|
|
|
604 |
self assert:( nIEEE truncatedAsFloat ) = num truncatedAsFloat asIEEEFloat.
|
|
|
605 |
self assert:( nIEEE truncated ) = num truncated.
|
|
2471
|
606 |
self assert:( nIEEE fractionPart + nIEEE truncatedAsFloat ) = nIEEE.
|
|
2459
|
607 |
self assert:( nIEEE fractionPart + nIEEE truncated ) = nIEEE.
|
|
2471
|
608 |
self assert:( -0.6 + -1 ) = nIEEE.
|
|
2459
|
609 |
self assert:( nIEEE fractionPart + nIEEE truncated ) class == nIEEE class.
|
|
|
610 |
self assert:( nIEEE fractionPart ) = num fractionPart.
|
|
|
611 |
self assert:( nIEEE truncated ) = num truncated.
|
|
2443
|
612 |
].
|
|
|
613 |
|
|
2459
|
614 |
check value:0.0 .
|
|
|
615 |
check value:0.6 .
|
|
|
616 |
check value:-0.6 .
|
|
|
617 |
check value:1.6 .
|
|
|
618 |
check value:-1.6 .
|
|
|
619 |
check value:1e20 .
|
|
|
620 |
check value:-1e20 .
|
|
|
621 |
check value:1e-20 .
|
|
|
622 |
check value:-1e-20 .
|
|
2443
|
623 |
|
|
2458
|
624 |
self assert:( 1.6 asIEEEFloat ceiling ) = 2.
|
|
|
625 |
self assert:( 1.6 asIEEEFloat ceilingAsFloat ) = 2.0.
|
|
2443
|
626 |
|
|
2458
|
627 |
self assert:( 1.6 asIEEEFloat floor ) = 1.
|
|
|
628 |
self assert:( 1.6 asIEEEFloat floorAsFloat ) = 1.0.
|
|
2443
|
629 |
|
|
2458
|
630 |
self assert:( -1.6 asIEEEFloat floor ) = -2.
|
|
|
631 |
self assert:( -1.6 asIEEEFloat floorAsFloat ) = -2.0.
|
|
2443
|
632 |
|
|
2458
|
633 |
self assert:( 0.4 asIEEEFloat rounded ) class == SmallInteger.
|
|
|
634 |
self assert:( 0.4 asIEEEFloat rounded = 0 ).
|
|
|
635 |
self assert:( 0.5 asIEEEFloat rounded = 1 ).
|
|
|
636 |
self assert:( 0.6 asIEEEFloat rounded = 1 ).
|
|
|
637 |
self assert:( -0.4 asIEEEFloat rounded = 0 ).
|
|
|
638 |
self assert:( -0.5 asIEEEFloat rounded = -1 ).
|
|
|
639 |
self assert:( -0.6 asIEEEFloat rounded = -1 ).
|
|
2443
|
640 |
|
|
2458
|
641 |
self assert:( 0.4 asIEEEFloat roundedAsFloat ) class == Float.
|
|
|
642 |
self assert:( 0.4 asIEEEFloat roundedAsFloat = 0.0 ).
|
|
|
643 |
self assert:( 0.5 asIEEEFloat roundedAsFloat = 1.0 ).
|
|
|
644 |
self assert:( 0.6 asIEEEFloat roundedAsFloat = 1.0 ).
|
|
|
645 |
self assert:( -0.4 asIEEEFloat roundedAsFloat = 0 ).
|
|
|
646 |
self assert:( -0.5 asIEEEFloat roundedAsFloat = -1.0 ).
|
|
|
647 |
self assert:( -0.6 asIEEEFloat roundedAsFloat = -1.0 ).
|
|
2443
|
648 |
|
|
2458
|
649 |
self assert:( 0.4 asIEEEFloat truncated ) class == SmallInteger.
|
|
|
650 |
self assert:( 0.4 asIEEEFloat truncated = 0 ).
|
|
|
651 |
self assert:( 0.5 asIEEEFloat truncated = 0 ).
|
|
|
652 |
self assert:( 0.6 asIEEEFloat truncated = 0 ).
|
|
|
653 |
self assert:( -0.4 asIEEEFloat truncated = 0 ).
|
|
|
654 |
self assert:( -0.5 asIEEEFloat truncated = 0 ).
|
|
|
655 |
self assert:( -0.6 asIEEEFloat truncated = 0 ).
|
|
2443
|
656 |
|
|
2458
|
657 |
self assert:( 0.4 asIEEEFloat truncatedAsFloat ) class == Float.
|
|
|
658 |
self assert:( 0.4 asIEEEFloat truncatedAsFloat = 0.0 ).
|
|
|
659 |
self assert:( 0.5 asIEEEFloat truncatedAsFloat = 0.0 ).
|
|
|
660 |
self assert:( 0.6 asIEEEFloat truncatedAsFloat = 0.0 ).
|
|
|
661 |
self assert:( -0.4 asIEEEFloat truncatedAsFloat = 0 ).
|
|
|
662 |
self assert:( -0.5 asIEEEFloat truncatedAsFloat = 0.0 ).
|
|
|
663 |
self assert:( -0.6 asIEEEFloat truncatedAsFloat = 0.0 ).
|
|
2443
|
664 |
|
|
2468
|
665 |
self assert:( 3.0 asIEEEFloat floorAsFloat ) = 3.0.
|
|
|
666 |
self assert:( 3.0 asIEEEFloat ceilingAsFloat ) = 3.0.
|
|
|
667 |
self assert:( 3.0 asIEEEFloat truncatedAsFloat ) = 3.0.
|
|
|
668 |
self assert:( 3.0 asIEEEFloat integerPart ) = 3.0.
|
|
|
669 |
self assert:( 3.0 asIEEEFloat fractionPart ) = 0.0.
|
|
|
670 |
|
|
2443
|
671 |
"
|
|
|
672 |
self basicNew test07_Truncation
|
|
|
673 |
"
|
|
|
674 |
!
|
|
|
675 |
|
|
|
676 |
test08_Representation
|
|
|
677 |
|noQuadFloats noOctaFloats|
|
|
|
678 |
|
|
|
679 |
noQuadFloats := UnimplementedFunctionalityError catch:[1.0 asQuadFloat].
|
|
|
680 |
noOctaFloats := UnimplementedFunctionalityError catch:[1.0 asOctaFloat].
|
|
|
681 |
|
|
2451
|
682 |
self assert:( 1.0 asShortFloat exponentBits = 1.0 asShortFloat asIEEEFloat exponentBits).
|
|
|
683 |
self assert:( 1.0 exponentBits = 1.0 asIEEEFloat exponentBits ).
|
|
2443
|
684 |
|
|
2451
|
685 |
self assert:( 0.0 exponent = 0.0 asIEEEFloat exponent ).
|
|
|
686 |
self assert:( 1.0 exponent = 1.0 asIEEEFloat exponent ).
|
|
|
687 |
self assert:( 2.0 exponent = 2.0 asIEEEFloat exponent ).
|
|
|
688 |
self assert:( 3.0 exponent = 3.0 asIEEEFloat exponent ).
|
|
|
689 |
self assert:( 4.0 exponent = 4.0 asIEEEFloat exponent ).
|
|
|
690 |
self assert:( 0.5 exponent = 0.5 asIEEEFloat exponent ).
|
|
|
691 |
self assert:( 0.4 exponent = 0.4 asIEEEFloat exponent ).
|
|
|
692 |
self assert:( 0.25 exponent = 0.25asIEEEFloat exponent ).
|
|
|
693 |
self assert:( 0.125 exponent = 0.125 asIEEEFloat exponent ).
|
|
|
694 |
self assert:( 0.00000011111 exponent = 0.00000011111 asIEEEFloat exponent).
|
|
2443
|
695 |
|
|
2451
|
696 |
self assert:( 0.0 asShortFloat exponent = 0.0 asShortFloat asIEEEFloat exponent ).
|
|
|
697 |
self assert:( 1.0 asShortFloat exponent = 1.0 asShortFloat asIEEEFloat exponent ).
|
|
|
698 |
self assert:( 2.0 asShortFloat exponent = 2.0 asShortFloat asIEEEFloat exponent ).
|
|
|
699 |
self assert:( 3.0 asShortFloat exponent = 3.0 asShortFloat asIEEEFloat exponent ).
|
|
|
700 |
self assert:( 4.0 asShortFloat exponent = 4.0 asShortFloat asIEEEFloat exponent ).
|
|
|
701 |
self assert:( 0.5 asShortFloat exponent = 0.5 asShortFloat asIEEEFloat exponent ).
|
|
|
702 |
self assert:( 0.4 asShortFloat exponent = 0.4 asShortFloat asIEEEFloat exponent ).
|
|
|
703 |
self assert:( 0.25 asShortFloat exponent = 0.25 asShortFloat asIEEEFloat exponent ).
|
|
|
704 |
self assert:( 0.125 asShortFloat exponent = 0.125 asShortFloat asIEEEFloat exponent ).
|
|
|
705 |
self assert:( 0.00000011111 asShortFloat exponent = 0.00000011111 asIEEEFloat asShortFloat exponent ).
|
|
2443
|
706 |
|
|
2451
|
707 |
#( 1.0
|
|
|
708 |
2.0
|
|
|
709 |
3.0
|
|
|
710 |
4.0
|
|
|
711 |
12345.0
|
|
|
712 |
0.0
|
|
|
713 |
-1.0
|
|
|
714 |
-2.0
|
|
|
715 |
-3.0
|
|
|
716 |
-4.0
|
|
|
717 |
-12345.0
|
|
|
718 |
) do:[:f |
|
|
|
719 |
self assert:( f exponent = f asIEEEFloat exponent ).
|
|
|
720 |
self assert:( f mantissaBits = f asIEEEFloat mantissaBits ).
|
|
|
721 |
self assert:( f mantissa = f asIEEEFloat mantissa ).
|
|
|
722 |
self assert:( f mantissa * (2 raisedTo:f exponent)) = f.
|
|
|
723 |
self assert:( f asIEEEFloat mantissa * (2 raisedTo:f asIEEEFloat exponent)) = f asIEEEFloat.
|
|
2443
|
724 |
|
|
2451
|
725 |
self assert:( f asShortFloat exponent = f asShortFloat asIEEEFloat exponent ).
|
|
|
726 |
self assert:( f asShortFloat mantissaBits = f asShortFloat asIEEEFloat mantissaBits ).
|
|
|
727 |
self assert:( f asShortFloat mantissa = f asShortFloat asIEEEFloat mantissa ).
|
|
|
728 |
self assert:( f asShortFloat mantissa * (2 raisedTo:f asShortFloat exponent)) = f asShortFloat.
|
|
|
729 |
self assert:( f asShortFloat asIEEEFloat mantissa * (2 raisedTo:f asShortFloat asIEEEFloat exponent)) = f asShortFloat asIEEEFloat.
|
|
2443
|
730 |
|
|
|
731 |
noQuadFloats ifFalse:[
|
|
|
732 |
].
|
|
|
733 |
noOctaFloats ifFalse:[
|
|
|
734 |
].
|
|
|
735 |
].
|
|
|
736 |
"
|
|
|
737 |
self basicNew test08_Representation
|
|
|
738 |
"
|
|
|
739 |
|
|
|
740 |
"Modified: / 02-08-2011 / 18:34:39 / cg"
|
|
|
741 |
!
|
|
|
742 |
|
|
|
743 |
test09_ComplexRoots
|
|
|
744 |
|rslt|
|
|
|
745 |
|
|
|
746 |
self should:[ -4 sqrt ] raise:ImaginaryResultError.
|
|
|
747 |
|
|
|
748 |
rslt := Complex trapImaginary:[ -4 sqrt ].
|
|
|
749 |
self assert:(rslt = 2 i).
|
|
|
750 |
|
|
|
751 |
rslt := nil.
|
|
|
752 |
Complex trapImaginary:[ rslt := -4 sqrt ].
|
|
|
753 |
self assert:(rslt = 2 i).
|
|
|
754 |
|
|
|
755 |
self shouldnt:[ rslt := -8 cbrt ] raise:ImaginaryResultError.
|
|
|
756 |
self assert:(rslt = -2).
|
|
|
757 |
|
|
|
758 |
"
|
|
|
759 |
self basicNew test09_ComplexRoots
|
|
|
760 |
"
|
|
|
761 |
|
|
|
762 |
"Created: / 03-07-2017 / 13:51:54 / cg"
|
|
|
763 |
!
|
|
|
764 |
|
|
|
765 |
test_11a_pi
|
|
|
766 |
"/ Machin's Formula for Pi pi / 4 = 4 arctan(1/5) - arctan(1/239)
|
|
|
767 |
|
|
|
768 |
| at1_5 at1_239 pi_4 pi err|
|
|
|
769 |
|
|
|
770 |
at1_5 := (1.0 / 5) arcTan.
|
|
|
771 |
at1_239 := (1.0 / 239) arcTan.
|
|
|
772 |
pi_4 := (at1_5 * 4) - at1_239.
|
|
|
773 |
pi := pi_4 * 4.
|
|
|
774 |
err := Float pi - pi.
|
|
|
775 |
self assert:(err < (8 * Float epsilon)).
|
|
|
776 |
!
|
|
|
777 |
|
|
|
778 |
test_11b_pi
|
|
|
779 |
"/ Salamin-Brent Quadratic Formula for Pi
|
|
|
780 |
|
|
|
781 |
| max_iter a b s m a_new b_new p_old pi err|
|
|
|
782 |
|
|
|
783 |
max_iter := 6.
|
|
|
784 |
|
|
|
785 |
a := 1.0 asFloat.
|
|
|
786 |
b := 0.5 asFloat sqrt.
|
|
|
787 |
s := 0.5 asFloat.
|
|
|
788 |
m := 1.0 asFloat.
|
|
|
789 |
|
|
|
790 |
pi := 2.0 asFloat * a squared / s.
|
|
|
791 |
1 to:max_iter do:[:i |
|
|
|
792 |
m := m * 2.
|
|
|
793 |
a_new := 0.5 * (a+b).
|
|
|
794 |
b_new := a * b.
|
|
|
795 |
s := s - (m * (a_new squared - b_new)).
|
|
|
796 |
a := a_new.
|
|
|
797 |
b := b_new sqrt.
|
|
|
798 |
p_old := pi.
|
|
|
799 |
pi := 2 * a squared / s.
|
|
|
800 |
].
|
|
|
801 |
|
|
|
802 |
err := Float pi - pi.
|
|
|
803 |
self assert:(err < (8 * Float epsilon)).
|
|
|
804 |
!
|
|
|
805 |
|
|
|
806 |
test_12_e
|
|
|
807 |
"/ Taylor for e
|
|
|
808 |
|
|
|
809 |
| e t n i err|
|
|
|
810 |
|
|
|
811 |
e := 2.0.
|
|
|
812 |
t := 1.0.
|
|
|
813 |
n := 1.0.
|
|
|
814 |
i := 0.
|
|
|
815 |
|
|
|
816 |
[t > Float epsilon] whileTrue:[
|
|
|
817 |
i := i + 1.
|
|
|
818 |
n := n + 1.0.
|
|
|
819 |
t := t / n.
|
|
|
820 |
e := e + t.
|
|
|
821 |
].
|
|
|
822 |
|
|
|
823 |
err := Float e - e.
|
|
|
824 |
self assert:(err < (8 * Float epsilon)).
|
|
|
825 |
! !
|
|
|
826 |
|
|
|
827 |
!IEEEFloatTest class methodsFor:'documentation'!
|
|
|
828 |
|
|
|
829 |
version_CVS
|
|
|
830 |
^ '$Header$'
|
|
|
831 |
! !
|
|
|
832 |
|