blob: 6b4421307987ea40913e1a167b74aa149505780a [file] [log] [blame]
Thomas Wouters1b7f8912007-09-19 03:06:30 +00001------------------------------------------------------------------------
2-- maxmag.decTest -- decimal maximum by magnitude --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +00003-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Thomas Wouters1b7f8912007-09-19 03:06:30 +00004------------------------------------------------------------------------
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------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +000020version: 2.59
Thomas Wouters1b7f8912007-09-19 03:06:30 +000021
22-- we assume that base comparison is tested in compare.decTest, so
23-- these mainly cover special cases and rounding
24
25extended: 1
26precision: 9
27rounding: half_up
28maxExponent: 384
29minexponent: -383
30
31-- sanity checks
32mxgx001 maxmag -2 -2 -> -2
33mxgx002 maxmag -2 -1 -> -2
34mxgx003 maxmag -2 0 -> -2
35mxgx004 maxmag -2 1 -> -2
36mxgx005 maxmag -2 2 -> 2
37mxgx006 maxmag -1 -2 -> -2
38mxgx007 maxmag -1 -1 -> -1
39mxgx008 maxmag -1 0 -> -1
40mxgx009 maxmag -1 1 -> 1
41mxgx010 maxmag -1 2 -> 2
42mxgx011 maxmag 0 -2 -> -2
43mxgx012 maxmag 0 -1 -> -1
44mxgx013 maxmag 0 0 -> 0
45mxgx014 maxmag 0 1 -> 1
46mxgx015 maxmag 0 2 -> 2
47mxgx016 maxmag 1 -2 -> -2
48mxgx017 maxmag 1 -1 -> 1
49mxgx018 maxmag 1 0 -> 1
50mxgx019 maxmag 1 1 -> 1
51mxgx020 maxmag 1 2 -> 2
52mxgx021 maxmag 2 -2 -> 2
53mxgx022 maxmag 2 -1 -> 2
54mxgx023 maxmag 2 0 -> 2
55mxgx025 maxmag 2 1 -> 2
56mxgx026 maxmag 2 2 -> 2
57
58-- extended zeros
59mxgx030 maxmag 0 0 -> 0
60mxgx031 maxmag 0 -0 -> 0
61mxgx032 maxmag 0 -0.0 -> 0
62mxgx033 maxmag 0 0.0 -> 0
63mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
64mxgx035 maxmag -0 -0 -> -0
65mxgx036 maxmag -0 -0.0 -> -0.0
66mxgx037 maxmag -0 0.0 -> 0.0
67mxgx038 maxmag 0.0 0 -> 0
68mxgx039 maxmag 0.0 -0 -> 0.0
69mxgx040 maxmag 0.0 -0.0 -> 0.0
70mxgx041 maxmag 0.0 0.0 -> 0.0
71mxgx042 maxmag -0.0 0 -> 0
72mxgx043 maxmag -0.0 -0 -> -0.0
73mxgx044 maxmag -0.0 -0.0 -> -0.0
74mxgx045 maxmag -0.0 0.0 -> 0.0
75
76mxgx050 maxmag -0E1 0E1 -> 0E+1
77mxgx051 maxmag -0E2 0E2 -> 0E+2
78mxgx052 maxmag -0E2 0E1 -> 0E+1
79mxgx053 maxmag -0E1 0E2 -> 0E+2
80mxgx054 maxmag 0E1 -0E1 -> 0E+1
81mxgx055 maxmag 0E2 -0E2 -> 0E+2
82mxgx056 maxmag 0E2 -0E1 -> 0E+2
83mxgx057 maxmag 0E1 -0E2 -> 0E+1
84
85mxgx058 maxmag 0E1 0E1 -> 0E+1
86mxgx059 maxmag 0E2 0E2 -> 0E+2
87mxgx060 maxmag 0E2 0E1 -> 0E+2
88mxgx061 maxmag 0E1 0E2 -> 0E+2
89mxgx062 maxmag -0E1 -0E1 -> -0E+1
90mxgx063 maxmag -0E2 -0E2 -> -0E+2
91mxgx064 maxmag -0E2 -0E1 -> -0E+1
92mxgx065 maxmag -0E1 -0E2 -> -0E+1
93
94-- Specials
95precision: 9
96mxgx090 maxmag Inf -Inf -> Infinity
97mxgx091 maxmag Inf -1000 -> Infinity
98mxgx092 maxmag Inf -1 -> Infinity
99mxgx093 maxmag Inf -0 -> Infinity
100mxgx094 maxmag Inf 0 -> Infinity
101mxgx095 maxmag Inf 1 -> Infinity
102mxgx096 maxmag Inf 1000 -> Infinity
103mxgx097 maxmag Inf Inf -> Infinity
104mxgx098 maxmag -1000 Inf -> Infinity
105mxgx099 maxmag -Inf Inf -> Infinity
106mxgx100 maxmag -1 Inf -> Infinity
107mxgx101 maxmag -0 Inf -> Infinity
108mxgx102 maxmag 0 Inf -> Infinity
109mxgx103 maxmag 1 Inf -> Infinity
110mxgx104 maxmag 1000 Inf -> Infinity
111mxgx105 maxmag Inf Inf -> Infinity
112
113mxgx120 maxmag -Inf -Inf -> -Infinity
114mxgx121 maxmag -Inf -1000 -> -Infinity
115mxgx122 maxmag -Inf -1 -> -Infinity
116mxgx123 maxmag -Inf -0 -> -Infinity
117mxgx124 maxmag -Inf 0 -> -Infinity
118mxgx125 maxmag -Inf 1 -> -Infinity
119mxgx126 maxmag -Inf 1000 -> -Infinity
120mxgx127 maxmag -Inf Inf -> Infinity
121mxgx128 maxmag -Inf -Inf -> -Infinity
122mxgx129 maxmag -1000 -Inf -> -Infinity
123mxgx130 maxmag -1 -Inf -> -Infinity
124mxgx131 maxmag -0 -Inf -> -Infinity
125mxgx132 maxmag 0 -Inf -> -Infinity
126mxgx133 maxmag 1 -Inf -> -Infinity
127mxgx134 maxmag 1000 -Inf -> -Infinity
128mxgx135 maxmag Inf -Inf -> Infinity
129
130-- 2004.08.02 754r chooses number over NaN in mixed cases
131mxgx141 maxmag NaN -Inf -> -Infinity
132mxgx142 maxmag NaN -1000 -> -1000
133mxgx143 maxmag NaN -1 -> -1
134mxgx144 maxmag NaN -0 -> -0
135mxgx145 maxmag NaN 0 -> 0
136mxgx146 maxmag NaN 1 -> 1
137mxgx147 maxmag NaN 1000 -> 1000
138mxgx148 maxmag NaN Inf -> Infinity
139mxgx149 maxmag NaN NaN -> NaN
140mxgx150 maxmag -Inf NaN -> -Infinity
141mxgx151 maxmag -1000 NaN -> -1000
142mxgx152 maxmag -1 NaN -> -1
143mxgx153 maxmag -0 NaN -> -0
144mxgx154 maxmag 0 NaN -> 0
145mxgx155 maxmag 1 NaN -> 1
146mxgx156 maxmag 1000 NaN -> 1000
147mxgx157 maxmag Inf NaN -> Infinity
148
149mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation
150mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation
151mxgx163 maxmag sNaN -1 -> NaN Invalid_operation
152mxgx164 maxmag sNaN -0 -> NaN Invalid_operation
153mxgx165 maxmag sNaN 0 -> NaN Invalid_operation
154mxgx166 maxmag sNaN 1 -> NaN Invalid_operation
155mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation
156mxgx168 maxmag sNaN NaN -> NaN Invalid_operation
157mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation
158mxgx170 maxmag NaN sNaN -> NaN Invalid_operation
159mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation
160mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation
161mxgx173 maxmag -1 sNaN -> NaN Invalid_operation
162mxgx174 maxmag -0 sNaN -> NaN Invalid_operation
163mxgx175 maxmag 0 sNaN -> NaN Invalid_operation
164mxgx176 maxmag 1 sNaN -> NaN Invalid_operation
165mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation
166mxgx178 maxmag Inf sNaN -> NaN Invalid_operation
167mxgx179 maxmag NaN sNaN -> NaN Invalid_operation
168
169-- propagating NaNs
170mxgx181 maxmag NaN9 -Inf -> -Infinity
171mxgx182 maxmag NaN8 9 -> 9
172mxgx183 maxmag -NaN7 Inf -> Infinity
173
174mxgx184 maxmag -NaN1 NaN11 -> -NaN1
175mxgx185 maxmag NaN2 NaN12 -> NaN2
176mxgx186 maxmag -NaN13 -NaN7 -> -NaN13
177mxgx187 maxmag NaN14 -NaN5 -> NaN14
178
179mxgx188 maxmag -Inf NaN4 -> -Infinity
180mxgx189 maxmag -9 -NaN3 -> -9
181mxgx190 maxmag Inf NaN2 -> Infinity
182
183mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
184mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
185mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
186mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
187mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
188mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
189mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
190mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
191mxgx199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
192
193-- rounding checks
194maxexponent: 999
195minexponent: -999
196precision: 9
197mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded
198mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded
199mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded
200mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded
201mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded
202mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded
203mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded
204mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded
205mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded
206mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded
207mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded
208mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded
209mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded
210mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
211mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded
212mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
213mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded
214mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
215
216precision: 15
217mxgx221 maxmag 12345678000 1 -> 12345678000
218mxgx222 maxmag 1 12345678000 -> 12345678000
219mxgx223 maxmag 1234567800 1 -> 1234567800
220mxgx224 maxmag 1 1234567800 -> 1234567800
221mxgx225 maxmag 1234567890 1 -> 1234567890
222mxgx226 maxmag 1 1234567890 -> 1234567890
223mxgx227 maxmag 1234567891 1 -> 1234567891
224mxgx228 maxmag 1 1234567891 -> 1234567891
225mxgx229 maxmag 12345678901 1 -> 12345678901
226mxgx230 maxmag 1 12345678901 -> 12345678901
227mxgx231 maxmag 1234567896 1 -> 1234567896
228mxgx232 maxmag 1 1234567896 -> 1234567896
229mxgx233 maxmag -1234567891 1 -> -1234567891
230mxgx234 maxmag 1 -1234567891 -> -1234567891
231mxgx235 maxmag -12345678901 1 -> -12345678901
232mxgx236 maxmag 1 -12345678901 -> -12345678901
233mxgx237 maxmag -1234567896 1 -> -1234567896
234mxgx238 maxmag 1 -1234567896 -> -1234567896
235
236-- from examples
237mxgx280 maxmag '3' '2' -> '3'
238mxgx281 maxmag '-10' '3' -> '-10'
239mxgx282 maxmag '1.0' '1' -> '1'
240mxgx283 maxmag '1' '1.0' -> '1'
241mxgx284 maxmag '7' 'NaN' -> '7'
242
243-- overflow and underflow tests ...
244maxExponent: 999999999
245minexponent: -999999999
246mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999
247mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
248mxgx332 maxmag +0.100 9E-999999999 -> 0.100
249mxgx333 maxmag 9E-999999999 +0.100 -> 0.100
250mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999
251mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
252mxgx337 maxmag -0.100 9E-999999999 -> -0.100
253mxgx338 maxmag 9E-999999999 -0.100 -> -0.100
254
255mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001
256mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000
257mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000
258mxgx342 maxmag 9e-999999998 0.01 -> 0.01
259mxgx343 maxmag 9e-999999998 0.1 -> 0.1
260mxgx344 maxmag 0.01 9e-999999998 -> 0.01
261mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999
262mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999
263mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000
264mxgx348 maxmag 9e999999998 100 -> 9E+999999998
265mxgx349 maxmag 9e999999998 10 -> 9E+999999998
266mxgx350 maxmag 100 9e999999998 -> 9E+999999998
267-- signs
268mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777
269mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777
270mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777
271mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777
272mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111
273mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111
274mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111
275mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111
276
277-- expanded list from min/max 754r purple prose
278-- [explicit tests for exponent ordering]
279mxgx401 maxmag Inf 1.1 -> Infinity
280mxgx402 maxmag 1.1 1 -> 1.1
281mxgx403 maxmag 1 1.0 -> 1
282mxgx404 maxmag 1.0 0.1 -> 1.0
283mxgx405 maxmag 0.1 0.10 -> 0.1
284mxgx406 maxmag 0.10 0.100 -> 0.10
285mxgx407 maxmag 0.10 0 -> 0.10
286mxgx408 maxmag 0 0.0 -> 0
287mxgx409 maxmag 0.0 -0 -> 0.0
288mxgx410 maxmag 0.0 -0.0 -> 0.0
289mxgx411 maxmag 0.00 -0.0 -> 0.00
290mxgx412 maxmag 0.0 -0.00 -> 0.0
291mxgx413 maxmag 0 -0.0 -> 0
292mxgx414 maxmag 0 -0 -> 0
293mxgx415 maxmag -0.0 -0 -> -0.0
294mxgx416 maxmag -0 -0.100 -> -0.100
295mxgx417 maxmag -0.100 -0.10 -> -0.100
296mxgx418 maxmag -0.10 -0.1 -> -0.10
297mxgx419 maxmag -0.1 -1.0 -> -1.0
298mxgx420 maxmag -1.0 -1 -> -1.0
299mxgx421 maxmag -1 -1.1 -> -1.1
300mxgx423 maxmag -1.1 -Inf -> -Infinity
301-- same with operands reversed
302mxgx431 maxmag 1.1 Inf -> Infinity
303mxgx432 maxmag 1 1.1 -> 1.1
304mxgx433 maxmag 1.0 1 -> 1
305mxgx434 maxmag 0.1 1.0 -> 1.0
306mxgx435 maxmag 0.10 0.1 -> 0.1
307mxgx436 maxmag 0.100 0.10 -> 0.10
308mxgx437 maxmag 0 0.10 -> 0.10
309mxgx438 maxmag 0.0 0 -> 0
310mxgx439 maxmag -0 0.0 -> 0.0
311mxgx440 maxmag -0.0 0.0 -> 0.0
312mxgx441 maxmag -0.0 0.00 -> 0.00
313mxgx442 maxmag -0.00 0.0 -> 0.0
314mxgx443 maxmag -0.0 0 -> 0
315mxgx444 maxmag -0 0 -> 0
316mxgx445 maxmag -0 -0.0 -> -0.0
317mxgx446 maxmag -0.100 -0 -> -0.100
318mxgx447 maxmag -0.10 -0.100 -> -0.100
319mxgx448 maxmag -0.1 -0.10 -> -0.10
320mxgx449 maxmag -1.0 -0.1 -> -1.0
321mxgx450 maxmag -1 -1.0 -> -1.0
322mxgx451 maxmag -1.1 -1 -> -1.1
323mxgx453 maxmag -Inf -1.1 -> -Infinity
324-- largies
325mxgx460 maxmag 1000 1E+3 -> 1E+3
326mxgx461 maxmag 1E+3 1000 -> 1E+3
327mxgx462 maxmag 1000 -1E+3 -> 1000
328mxgx463 maxmag 1E+3 -1000 -> 1E+3
329mxgx464 maxmag -1000 1E+3 -> 1E+3
330mxgx465 maxmag -1E+3 1000 -> 1000
331mxgx466 maxmag -1000 -1E+3 -> -1000
332mxgx467 maxmag -1E+3 -1000 -> -1000
333
334-- rounding (results treated as though plus)
335maxexponent: 999999999
336minexponent: -999999999
337precision: 3
338
339mxgx470 maxmag 1 .5 -> 1
340mxgx471 maxmag 10 5 -> 10
341mxgx472 maxmag 100 50 -> 100
342mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded
343mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded
344mxgx475 maxmag 6 .5 -> 6
345mxgx476 maxmag 66 5 -> 66
346mxgx477 maxmag 666 50 -> 666
347mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact
348mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact
349mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact
350mxgx481 maxmag .5 1 -> 1
351mxgx482 maxmag .5 10 -> 10
352mxgx483 maxmag .5 100 -> 100
353mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded
354mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded
355mxgx486 maxmag .5 6 -> 6
356mxgx487 maxmag .5 66 -> 66
357mxgx488 maxmag .5 666 -> 666
358mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact
359mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact
360mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact
361
362-- overflow tests
363maxexponent: 999999999
364minexponent: -999999999
365precision: 3
366mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
367mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
368
369-- subnormals and underflow
370precision: 3
371maxexponent: 999
372minexponent: -999
373mxgx510 maxmag 1.00E-999 0 -> 1.00E-999
374mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal
375mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal
376mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
377mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal
378-- next is rounded to Nmin
379mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
380mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
381mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
382mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
383mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
384mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
385
386mxgx530 maxmag -1.00E-999 0 -> -1.00E-999
387mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal
388mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal
389mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
390mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal
391-- next is rounded to -Nmin
392mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
393mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
394mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
395mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
396mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
397mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
398
399-- Null tests
400mxgx900 maxmag 10 # -> NaN Invalid_operation
401mxgx901 maxmag # 10 -> NaN Invalid_operation
402
403
404