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1------------------------------------------------------------------------
2-- clamp.decTest -- clamped exponent tests (format-independent)       --
3-- Copyright (c) IBM Corporation, 2000, 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------------------------------------------------------------------------
20version: 2.59
21
22-- This set of tests uses the same limits as the 8-byte concrete
23-- representation, but applies clamping without using format-specific
24-- conversions.
25
26extended:    1
27precision:   16
28rounding:    half_even
29maxExponent: 384
30minExponent: -383
31clamp:       1
32
33-- General testcases
34
35-- Normality
36clam010 apply   1234567890123456   ->  1234567890123456
37clam011 apply   1234567890123456.0 ->  1234567890123456 Rounded
38clam012 apply   1234567890123456.1 ->  1234567890123456 Rounded Inexact
39clam013 apply  -1234567890123456   -> -1234567890123456
40clam014 apply  -1234567890123456.0 -> -1234567890123456 Rounded
41clam015 apply  -1234567890123456.1 -> -1234567890123456 Rounded Inexact
42
43
44-- Nmax and similar
45clam022 apply   9.999999999999999E+384  -> 9.999999999999999E+384
46clam024 apply   1.234567890123456E+384  -> 1.234567890123456E+384
47-- fold-downs (more below)
48clam030 apply   1.23E+384               -> 1.230000000000000E+384 Clamped
49clam032 apply   1E+384                  -> 1.000000000000000E+384 Clamped
50
51clam051 apply   12345                   -> 12345
52clam053 apply   1234                    -> 1234
53clam055 apply   123                     -> 123
54clam057 apply   12                      -> 12
55clam059 apply   1                       -> 1
56clam061 apply   1.23                    -> 1.23
57clam063 apply   123.45                  -> 123.45
58
59-- Nmin and below
60clam071 apply   1E-383                  -> 1E-383
61clam073 apply   1.000000000000000E-383  -> 1.000000000000000E-383
62clam075 apply   1.000000000000001E-383  -> 1.000000000000001E-383
63
64clam077 apply   0.100000000000000E-383  -> 1.00000000000000E-384  Subnormal
65clam079 apply   0.000000000000010E-383  -> 1.0E-397               Subnormal
66clam081 apply   0.00000000000001E-383   -> 1E-397                 Subnormal
67clam083 apply   0.000000000000001E-383  -> 1E-398                 Subnormal
68
69-- underflows
70clam090 apply   1e-398                  -> #0000000000000001  Subnormal
71clam091 apply   1.9e-398                -> #0000000000000002  Subnormal Underflow Inexact Rounded
72clam092 apply   1.1e-398                -> #0000000000000001  Subnormal Underflow Inexact Rounded
73clam093 apply   1.00000000001e-398      -> #0000000000000001  Subnormal Underflow Inexact Rounded
74clam094 apply   1.00000000000001e-398   -> #0000000000000001  Subnormal Underflow Inexact Rounded
75clam095 apply   1.000000000000001e-398  -> #0000000000000001  Subnormal Underflow Inexact Rounded
76clam096 apply   0.1e-398                -> #0000000000000000  Subnormal Underflow Inexact Rounded Clamped
77clam097 apply   0.00000000001e-398      -> #0000000000000000  Subnormal Underflow Inexact Rounded Clamped
78clam098 apply   0.00000000000001e-398   -> #0000000000000000  Subnormal Underflow Inexact Rounded Clamped
79clam099 apply   0.000000000000001e-398  -> #0000000000000000  Subnormal Underflow Inexact Rounded Clamped
80
81-- Same again, negatives
82-- Nmax and similar
83clam122 apply  -9.999999999999999E+384  -> -9.999999999999999E+384
84clam124 apply  -1.234567890123456E+384  -> -1.234567890123456E+384
85-- fold-downs (more below)
86clam130 apply  -1.23E+384               -> -1.230000000000000E+384 Clamped
87clam132 apply  -1E+384                  -> -1.000000000000000E+384 Clamped
88
89clam151 apply  -12345                   -> -12345
90clam153 apply  -1234                    -> -1234
91clam155 apply  -123                     -> -123
92clam157 apply  -12                      -> -12
93clam159 apply  -1                       -> -1
94clam161 apply  -1.23                    -> -1.23
95clam163 apply  -123.45                  -> -123.45
96
97-- Nmin and below
98clam171 apply  -1E-383                  -> -1E-383
99clam173 apply  -1.000000000000000E-383  -> -1.000000000000000E-383
100clam175 apply  -1.000000000000001E-383  -> -1.000000000000001E-383
101
102clam177 apply  -0.100000000000000E-383  -> -1.00000000000000E-384  Subnormal
103clam179 apply  -0.000000000000010E-383  -> -1.0E-397               Subnormal
104clam181 apply  -0.00000000000001E-383   -> -1E-397                 Subnormal
105clam183 apply  -0.000000000000001E-383  -> -1E-398                 Subnormal
106
107-- underflows
108clam189 apply   -1e-398                 -> #8000000000000001  Subnormal
109clam190 apply   -1.0e-398               -> #8000000000000001  Subnormal Rounded
110clam191 apply   -1.9e-398               -> #8000000000000002  Subnormal Underflow Inexact Rounded
111clam192 apply   -1.1e-398               -> #8000000000000001  Subnormal Underflow Inexact Rounded
112clam193 apply   -1.00000000001e-398     -> #8000000000000001  Subnormal Underflow Inexact Rounded
113clam194 apply   -1.00000000000001e-398  -> #8000000000000001  Subnormal Underflow Inexact Rounded
114clam195 apply   -1.000000000000001e-398 -> #8000000000000001  Subnormal Underflow Inexact Rounded
115clam196 apply   -0.1e-398               -> #8000000000000000  Subnormal Underflow Inexact Rounded Clamped
116clam197 apply   -0.00000000001e-398     -> #8000000000000000  Subnormal Underflow Inexact Rounded Clamped
117clam198 apply   -0.00000000000001e-398  -> #8000000000000000  Subnormal Underflow Inexact Rounded Clamped
118clam199 apply   -0.000000000000001e-398 -> #8000000000000000  Subnormal Underflow Inexact Rounded Clamped
119
120-- zeros
121clam401 apply   0E-500                  -> 0E-398  Clamped
122clam402 apply   0E-400                  -> 0E-398  Clamped
123clam403 apply   0E-398                  -> 0E-398
124clam404 apply   0.000000000000000E-383  -> 0E-398
125clam405 apply   0E-2                    ->  0.00
126clam406 apply   0                       -> 0
127clam407 apply   0E+3                    -> 0E+3
128clam408 apply   0E+369                  -> 0E+369
129-- clamped zeros...
130clam410 apply   0E+370                  -> 0E+369 Clamped
131clam411 apply   0E+384                  -> 0E+369 Clamped
132clam412 apply   0E+400                  -> 0E+369 Clamped
133clam413 apply   0E+500                  -> 0E+369 Clamped
134
135-- negative zeros
136clam420 apply   -0E-500                 -> -0E-398 Clamped
137clam421 apply   -0E-400                 -> -0E-398 Clamped
138clam422 apply   -0E-398                 -> -0E-398
139clam423 apply   -0.000000000000000E-383 -> -0E-398
140clam424 apply   -0E-2                   -> -0.00
141clam425 apply   -0                      -> -0
142clam426 apply   -0E+3                   -> -0E+3
143clam427 apply   -0E+369                 -> -0E+369
144-- clamped zeros...
145clam431 apply   -0E+370                 -> -0E+369 Clamped
146clam432 apply   -0E+384                 -> -0E+369 Clamped
147clam433 apply   -0E+400                 -> -0E+369 Clamped
148clam434 apply   -0E+500                 -> -0E+369 Clamped
149
150-- fold-down full sequence
151clam601 apply   1E+384                  -> 1.000000000000000E+384 Clamped
152clam603 apply   1E+383                  -> 1.00000000000000E+383 Clamped
153clam605 apply   1E+382                  -> 1.0000000000000E+382 Clamped
154clam607 apply   1E+381                  -> 1.000000000000E+381 Clamped
155clam609 apply   1E+380                  -> 1.00000000000E+380 Clamped
156clam611 apply   1E+379                  -> 1.0000000000E+379 Clamped
157clam613 apply   1E+378                  -> 1.000000000E+378 Clamped
158clam615 apply   1E+377                  -> 1.00000000E+377 Clamped
159clam617 apply   1E+376                  -> 1.0000000E+376 Clamped
160clam619 apply   1E+375                  -> 1.000000E+375 Clamped
161clam621 apply   1E+374                  -> 1.00000E+374 Clamped
162clam623 apply   1E+373                  -> 1.0000E+373 Clamped
163clam625 apply   1E+372                  -> 1.000E+372 Clamped
164clam627 apply   1E+371                  -> 1.00E+371 Clamped
165clam629 apply   1E+370                  -> 1.0E+370 Clamped
166clam631 apply   1E+369                  -> 1E+369
167clam633 apply   1E+368                  -> 1E+368
168-- same with 9s
169clam641 apply   9E+384                  -> 9.000000000000000E+384 Clamped
170clam643 apply   9E+383                  -> 9.00000000000000E+383 Clamped
171clam645 apply   9E+382                  -> 9.0000000000000E+382 Clamped
172clam647 apply   9E+381                  -> 9.000000000000E+381 Clamped
173clam649 apply   9E+380                  -> 9.00000000000E+380 Clamped
174clam651 apply   9E+379                  -> 9.0000000000E+379 Clamped
175clam653 apply   9E+378                  -> 9.000000000E+378 Clamped
176clam655 apply   9E+377                  -> 9.00000000E+377 Clamped
177clam657 apply   9E+376                  -> 9.0000000E+376 Clamped
178clam659 apply   9E+375                  -> 9.000000E+375 Clamped
179clam661 apply   9E+374                  -> 9.00000E+374 Clamped
180clam663 apply   9E+373                  -> 9.0000E+373 Clamped
181clam665 apply   9E+372                  -> 9.000E+372 Clamped
182clam667 apply   9E+371                  -> 9.00E+371 Clamped
183clam669 apply   9E+370                  -> 9.0E+370 Clamped
184clam671 apply   9E+369                  -> 9E+369
185clam673 apply   9E+368                  -> 9E+368
186
187-- subnormals clamped to 0-Etiny
188precision:   16
189maxExponent: 384
190minExponent: -383
191clam681 apply 7E-398     -> 7E-398 Subnormal
192clam682 apply 0E-398     -> 0E-398
193clam683 apply 7E-399     -> 1E-398 Subnormal Underflow Inexact Rounded
194clam684 apply 4E-399     -> 0E-398 Clamped Subnormal Underflow Inexact Rounded
195clam685 apply 7E-400     -> 0E-398 Clamped Subnormal Underflow Inexact Rounded
196clam686 apply 7E-401     -> 0E-398 Clamped Subnormal Underflow Inexact Rounded
197clam687 apply 0E-399     -> 0E-398 Clamped
198clam688 apply 0E-400     -> 0E-398 Clamped
199clam689 apply 0E-401     -> 0E-398 Clamped
200
201-- example from documentation
202precision:   7
203rounding:    half_even
204maxExponent: +96
205minExponent: -95
206
207clamp:       0
208clam700 apply   1.23E+96                -> 1.23E+96
209
210clamp:       1
211clam701 apply   1.23E+96                -> 1.230000E+96 Clamped
212