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1 ------------------------------------------------------------------------
2 -- reduce.decTest -- remove trailing zeros --
3 -- Copyright (c) IBM Corporation, 2003, 2008. All rights reserved. --
4 ------------------------------------------------------------------------
5 -- Please see the document "General Decimal Arithmetic Testcases" --
6 -- at http://www2.hursley.ibm.com/decimal for the description of --
7 -- these testcases. --
8 -- --
9 -- These testcases are experimental ('beta' versions), and they --
10 -- may contain errors. They are offered on an as-is basis. In --
11 -- particular, achieving the same results as the tests here is not --
12 -- a guarantee that an implementation complies with any Standard --
13 -- or specification. The tests are not exhaustive. --
14 -- --
15 -- Please send comments, suggestions, and corrections to the author: --
16 -- Mike Cowlishaw, IBM Fellow --
17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18 -- mfc@uk.ibm.com --
19 ------------------------------------------------------------------------
20 -- [This used to be called normalize.]
21
22 version: 2.59
23
24 extended: 1
25 precision: 9
26 rounding: half_up
27 maxExponent: 999
28 minexponent: -999
29
30 redx001 reduce '1' -> '1'
31 redx002 reduce '-1' -> '-1'
32 redx003 reduce '1.00' -> '1'
33 redx004 reduce '-1.00' -> '-1'
34 redx005 reduce '0' -> '0'
35 redx006 reduce '0.00' -> '0'
36 redx007 reduce '00.0' -> '0'
37 redx008 reduce '00.00' -> '0'
38 redx009 reduce '00' -> '0'
39 redx010 reduce '0E+1' -> '0'
40 redx011 reduce '0E+5' -> '0'
41
42 redx012 reduce '-2' -> '-2'
43 redx013 reduce '2' -> '2'
44 redx014 reduce '-2.00' -> '-2'
45 redx015 reduce '2.00' -> '2'
46 redx016 reduce '-0' -> '-0'
47 redx017 reduce '-0.00' -> '-0'
48 redx018 reduce '-00.0' -> '-0'
49 redx019 reduce '-00.00' -> '-0'
50 redx020 reduce '-00' -> '-0'
51 redx021 reduce '-0E+5' -> '-0'
52 redx022 reduce '-0E+1' -> '-0'
53
54 redx030 reduce '+0.1' -> '0.1'
55 redx031 reduce '-0.1' -> '-0.1'
56 redx032 reduce '+0.01' -> '0.01'
57 redx033 reduce '-0.01' -> '-0.01'
58 redx034 reduce '+0.001' -> '0.001'
59 redx035 reduce '-0.001' -> '-0.001'
60 redx036 reduce '+0.000001' -> '0.000001'
61 redx037 reduce '-0.000001' -> '-0.000001'
62 redx038 reduce '+0.000000000001' -> '1E-12'
63 redx039 reduce '-0.000000000001' -> '-1E-12'
64
65 redx041 reduce 1.1 -> 1.1
66 redx042 reduce 1.10 -> 1.1
67 redx043 reduce 1.100 -> 1.1
68 redx044 reduce 1.110 -> 1.11
69 redx045 reduce -1.1 -> -1.1
70 redx046 reduce -1.10 -> -1.1
71 redx047 reduce -1.100 -> -1.1
72 redx048 reduce -1.110 -> -1.11
73 redx049 reduce 9.9 -> 9.9
74 redx050 reduce 9.90 -> 9.9
75 redx051 reduce 9.900 -> 9.9
76 redx052 reduce 9.990 -> 9.99
77 redx053 reduce -9.9 -> -9.9
78 redx054 reduce -9.90 -> -9.9
79 redx055 reduce -9.900 -> -9.9
80 redx056 reduce -9.990 -> -9.99
81
82 -- some trailing fractional zeros with zeros in units
83 redx060 reduce 10.0 -> 1E+1
84 redx061 reduce 10.00 -> 1E+1
85 redx062 reduce 100.0 -> 1E+2
86 redx063 reduce 100.00 -> 1E+2
87 redx064 reduce 1.1000E+3 -> 1.1E+3
88 redx065 reduce 1.10000E+3 -> 1.1E+3
89 redx066 reduce -10.0 -> -1E+1
90 redx067 reduce -10.00 -> -1E+1
91 redx068 reduce -100.0 -> -1E+2
92 redx069 reduce -100.00 -> -1E+2
93 redx070 reduce -1.1000E+3 -> -1.1E+3
94 redx071 reduce -1.10000E+3 -> -1.1E+3
95
96 -- some insignificant trailing zeros with positive exponent
97 redx080 reduce 10E+1 -> 1E+2
98 redx081 reduce 100E+1 -> 1E+3
99 redx082 reduce 1.0E+2 -> 1E+2
100 redx083 reduce 1.0E+3 -> 1E+3
101 redx084 reduce 1.1E+3 -> 1.1E+3
102 redx085 reduce 1.00E+3 -> 1E+3
103 redx086 reduce 1.10E+3 -> 1.1E+3
104 redx087 reduce -10E+1 -> -1E+2
105 redx088 reduce -100E+1 -> -1E+3
106 redx089 reduce -1.0E+2 -> -1E+2
107 redx090 reduce -1.0E+3 -> -1E+3
108 redx091 reduce -1.1E+3 -> -1.1E+3
109 redx092 reduce -1.00E+3 -> -1E+3
110 redx093 reduce -1.10E+3 -> -1.1E+3
111
112 -- some significant trailing zeros, were we to be trimming
113 redx100 reduce 11 -> 11
114 redx101 reduce 10 -> 1E+1
115 redx102 reduce 10. -> 1E+1
116 redx103 reduce 1.1E+1 -> 11
117 redx104 reduce 1.0E+1 -> 1E+1
118 redx105 reduce 1.10E+2 -> 1.1E+2
119 redx106 reduce 1.00E+2 -> 1E+2
120 redx107 reduce 1.100E+3 -> 1.1E+3
121 redx108 reduce 1.000E+3 -> 1E+3
122 redx109 reduce 1.000000E+6 -> 1E+6
123 redx110 reduce -11 -> -11
124 redx111 reduce -10 -> -1E+1
125 redx112 reduce -10. -> -1E+1
126 redx113 reduce -1.1E+1 -> -11
127 redx114 reduce -1.0E+1 -> -1E+1
128 redx115 reduce -1.10E+2 -> -1.1E+2
129 redx116 reduce -1.00E+2 -> -1E+2
130 redx117 reduce -1.100E+3 -> -1.1E+3
131 redx118 reduce -1.000E+3 -> -1E+3
132 redx119 reduce -1.00000E+5 -> -1E+5
133 redx120 reduce -1.000000E+6 -> -1E+6
134 redx121 reduce -10.00000E+6 -> -1E+7
135 redx122 reduce -100.0000E+6 -> -1E+8
136 redx123 reduce -1000.000E+6 -> -1E+9
137 redx124 reduce -10000.00E+6 -> -1E+10
138 redx125 reduce -100000.0E+6 -> -1E+11
139 redx126 reduce -1000000.E+6 -> -1E+12
140
141 -- examples from decArith
142 redx140 reduce '2.1' -> '2.1'
143 redx141 reduce '-2.0' -> '-2'
144 redx142 reduce '1.200' -> '1.2'
145 redx143 reduce '-120' -> '-1.2E+2'
146 redx144 reduce '120.00' -> '1.2E+2'
147 redx145 reduce '0.00' -> '0'
148
149 -- overflow tests
150 maxexponent: 999999999
151 minexponent: -999999999
152 precision: 3
153 redx160 reduce 9.999E+999999999 -> Infinity Inexact Overflow Rounded
154 redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
155
156 -- subnormals and underflow
157 precision: 3
158 maxexponent: 999
159 minexponent: -999
160 redx210 reduce 1.00E-999 -> 1E-999
161 redx211 reduce 0.1E-999 -> 1E-1000 Subnormal
162 redx212 reduce 0.10E-999 -> 1E-1000 Subnormal
163 redx213 reduce 0.100E-999 -> 1E-1000 Subnormal Rounded
164 redx214 reduce 0.01E-999 -> 1E-1001 Subnormal
165 -- next is rounded to Emin
166 redx215 reduce 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow
167 redx216 reduce 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow
168 redx217 reduce 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow
169 redx218 reduce 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
170 redx219 reduce 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
171 redx220 reduce 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
172
173 redx230 reduce -1.00E-999 -> -1E-999
174 redx231 reduce -0.1E-999 -> -1E-1000 Subnormal
175 redx232 reduce -0.10E-999 -> -1E-1000 Subnormal
176 redx233 reduce -0.100E-999 -> -1E-1000 Subnormal Rounded
177 redx234 reduce -0.01E-999 -> -1E-1001 Subnormal
178 -- next is rounded to Emin
179 redx235 reduce -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow
180 redx236 reduce -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow
181 redx237 reduce -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow
182 redx238 reduce -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
183 redx239 reduce -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
184 redx240 reduce -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
185
186 -- more reshaping
187 precision: 9
188 redx260 reduce '56260E-10' -> '0.000005626'
189 redx261 reduce '56260E-5' -> '0.5626'
190 redx262 reduce '56260E-2' -> '562.6'
191 redx263 reduce '56260E-1' -> '5626'
192 redx265 reduce '56260E-0' -> '5.626E+4'
193 redx266 reduce '56260E+0' -> '5.626E+4'
194 redx267 reduce '56260E+1' -> '5.626E+5'
195 redx268 reduce '56260E+2' -> '5.626E+6'
196 redx269 reduce '56260E+3' -> '5.626E+7'
197 redx270 reduce '56260E+4' -> '5.626E+8'
198 redx271 reduce '56260E+5' -> '5.626E+9'
199 redx272 reduce '56260E+6' -> '5.626E+10'
200 redx280 reduce '-56260E-10' -> '-0.000005626'
201 redx281 reduce '-56260E-5' -> '-0.5626'
202 redx282 reduce '-56260E-2' -> '-562.6'
203 redx283 reduce '-56260E-1' -> '-5626'
204 redx285 reduce '-56260E-0' -> '-5.626E+4'
205 redx286 reduce '-56260E+0' -> '-5.626E+4'
206 redx287 reduce '-56260E+1' -> '-5.626E+5'
207 redx288 reduce '-56260E+2' -> '-5.626E+6'
208 redx289 reduce '-56260E+3' -> '-5.626E+7'
209 redx290 reduce '-56260E+4' -> '-5.626E+8'
210 redx291 reduce '-56260E+5' -> '-5.626E+9'
211 redx292 reduce '-56260E+6' -> '-5.626E+10'
212
213 -- FL test
214 precision: 40
215 redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678
216
217 -- specials
218 redx820 reduce 'Inf' -> 'Infinity'
219 redx821 reduce '-Inf' -> '-Infinity'
220 redx822 reduce NaN -> NaN
221 redx823 reduce sNaN -> NaN Invalid_operation
222 redx824 reduce NaN101 -> NaN101
223 redx825 reduce sNaN010 -> NaN10 Invalid_operation
224 redx827 reduce -NaN -> -NaN
225 redx828 reduce -sNaN -> -NaN Invalid_operation
226 redx829 reduce -NaN101 -> -NaN101
227 redx830 reduce -sNaN010 -> -NaN10 Invalid_operation
228
229 -- payload decapitate
230 precision: 5
231 redx62100 reduce sNaN1234567890 -> NaN67890 Invalid_operation
232
233 -- Null test
234 redx900 reduce # -> NaN Invalid_operation