1 ------------------------------------------------------------------------
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2 -- ddRemainder.decTest -- decDouble remainder --
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3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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4 ------------------------------------------------------------------------
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5 -- Please see the document "General Decimal Arithmetic Testcases" --
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6 -- at http://www2.hursley.ibm.com/decimal for the description of --
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7 -- these testcases. --
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9 -- These testcases are experimental ('beta' versions), and they --
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10 -- may contain errors. They are offered on an as-is basis. In --
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11 -- particular, achieving the same results as the tests here is not --
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12 -- a guarantee that an implementation complies with any Standard --
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13 -- or specification. The tests are not exhaustive. --
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15 -- Please send comments, suggestions, and corrections to the author: --
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16 -- Mike Cowlishaw, IBM Fellow --
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17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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18 -- mfc@uk.ibm.com --
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19 ------------------------------------------------------------------------
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29 -- sanity checks (as base, above)
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30 ddrem001 remainder 1 1 -> 0
\r
31 ddrem002 remainder 2 1 -> 0
\r
32 ddrem003 remainder 1 2 -> 1
\r
33 ddrem004 remainder 2 2 -> 0
\r
34 ddrem005 remainder 0 1 -> 0
\r
35 ddrem006 remainder 0 2 -> 0
\r
36 ddrem007 remainder 1 3 -> 1
\r
37 ddrem008 remainder 2 3 -> 2
\r
38 ddrem009 remainder 3 3 -> 0
\r
40 ddrem010 remainder 2.4 1 -> 0.4
\r
41 ddrem011 remainder 2.4 -1 -> 0.4
\r
42 ddrem012 remainder -2.4 1 -> -0.4
\r
43 ddrem013 remainder -2.4 -1 -> -0.4
\r
44 ddrem014 remainder 2.40 1 -> 0.40
\r
45 ddrem015 remainder 2.400 1 -> 0.400
\r
46 ddrem016 remainder 2.4 2 -> 0.4
\r
47 ddrem017 remainder 2.400 2 -> 0.400
\r
48 ddrem018 remainder 2. 2 -> 0
\r
49 ddrem019 remainder 20 20 -> 0
\r
51 ddrem020 remainder 187 187 -> 0
\r
52 ddrem021 remainder 5 2 -> 1
\r
53 ddrem022 remainder 5 2.0 -> 1.0
\r
54 ddrem023 remainder 5 2.000 -> 1.000
\r
55 ddrem024 remainder 5 0.200 -> 0.000
\r
56 ddrem025 remainder 5 0.200 -> 0.000
\r
58 ddrem030 remainder 1 2 -> 1
\r
59 ddrem031 remainder 1 4 -> 1
\r
60 ddrem032 remainder 1 8 -> 1
\r
62 ddrem033 remainder 1 16 -> 1
\r
63 ddrem034 remainder 1 32 -> 1
\r
64 ddrem035 remainder 1 64 -> 1
\r
65 ddrem040 remainder 1 -2 -> 1
\r
66 ddrem041 remainder 1 -4 -> 1
\r
67 ddrem042 remainder 1 -8 -> 1
\r
68 ddrem043 remainder 1 -16 -> 1
\r
69 ddrem044 remainder 1 -32 -> 1
\r
70 ddrem045 remainder 1 -64 -> 1
\r
71 ddrem050 remainder -1 2 -> -1
\r
72 ddrem051 remainder -1 4 -> -1
\r
73 ddrem052 remainder -1 8 -> -1
\r
74 ddrem053 remainder -1 16 -> -1
\r
75 ddrem054 remainder -1 32 -> -1
\r
76 ddrem055 remainder -1 64 -> -1
\r
77 ddrem060 remainder -1 -2 -> -1
\r
78 ddrem061 remainder -1 -4 -> -1
\r
79 ddrem062 remainder -1 -8 -> -1
\r
80 ddrem063 remainder -1 -16 -> -1
\r
81 ddrem064 remainder -1 -32 -> -1
\r
82 ddrem065 remainder -1 -64 -> -1
\r
84 ddrem066 remainder 999999999 1 -> 0
\r
85 ddrem067 remainder 999999999.4 1 -> 0.4
\r
86 ddrem068 remainder 999999999.5 1 -> 0.5
\r
87 ddrem069 remainder 999999999.9 1 -> 0.9
\r
88 ddrem070 remainder 999999999.999 1 -> 0.999
\r
89 ddrem071 remainder 999999.999999 1 -> 0.999999
\r
90 ddrem072 remainder 9 1 -> 0
\r
91 ddrem073 remainder 9999999999999999 1 -> 0
\r
92 ddrem074 remainder 9999999999999999 2 -> 1
\r
93 ddrem075 remainder 9999999999999999 3 -> 0
\r
94 ddrem076 remainder 9999999999999999 4 -> 3
\r
96 ddrem080 remainder 0. 1 -> 0
\r
97 ddrem081 remainder .0 1 -> 0.0
\r
98 ddrem082 remainder 0.00 1 -> 0.00
\r
99 ddrem083 remainder 0.00E+9 1 -> 0
\r
100 ddrem084 remainder 0.00E+3 1 -> 0
\r
101 ddrem085 remainder 0.00E+2 1 -> 0
\r
102 ddrem086 remainder 0.00E+1 1 -> 0.0
\r
103 ddrem087 remainder 0.00E+0 1 -> 0.00
\r
104 ddrem088 remainder 0.00E-0 1 -> 0.00
\r
105 ddrem089 remainder 0.00E-1 1 -> 0.000
\r
106 ddrem090 remainder 0.00E-2 1 -> 0.0000
\r
107 ddrem091 remainder 0.00E-3 1 -> 0.00000
\r
108 ddrem092 remainder 0.00E-4 1 -> 0.000000
\r
109 ddrem093 remainder 0.00E-5 1 -> 0E-7
\r
110 ddrem094 remainder 0.00E-6 1 -> 0E-8
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111 ddrem095 remainder 0.0000E-50 1 -> 0E-54
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113 -- Various flavours of remainder by 0
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114 ddrem101 remainder 0 0 -> NaN Division_undefined
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115 ddrem102 remainder 0 -0 -> NaN Division_undefined
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116 ddrem103 remainder -0 0 -> NaN Division_undefined
\r
117 ddrem104 remainder -0 -0 -> NaN Division_undefined
\r
118 ddrem105 remainder 0.0E5 0 -> NaN Division_undefined
\r
119 ddrem106 remainder 0.000 0 -> NaN Division_undefined
\r
120 -- [Some think this next group should be Division_by_zero exception, but
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121 -- IEEE 854 is explicit that it is Invalid operation .. for
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122 -- remainder-near, anyway]
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123 ddrem107 remainder 0.0001 0 -> NaN Invalid_operation
\r
124 ddrem108 remainder 0.01 0 -> NaN Invalid_operation
\r
125 ddrem109 remainder 0.1 0 -> NaN Invalid_operation
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126 ddrem110 remainder 1 0 -> NaN Invalid_operation
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127 ddrem111 remainder 1 0.0 -> NaN Invalid_operation
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128 ddrem112 remainder 10 0.0 -> NaN Invalid_operation
\r
129 ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
\r
130 ddrem114 remainder 1E+380 0 -> NaN Invalid_operation
\r
131 ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation
\r
132 ddrem116 remainder 0.01 -0 -> NaN Invalid_operation
\r
133 ddrem119 remainder 0.1 -0 -> NaN Invalid_operation
\r
134 ddrem120 remainder 1 -0 -> NaN Invalid_operation
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135 ddrem121 remainder 1 -0.0 -> NaN Invalid_operation
\r
136 ddrem122 remainder 10 -0.0 -> NaN Invalid_operation
\r
137 ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
\r
138 ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation
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139 -- and zeros on left
\r
140 ddrem130 remainder 0 1 -> 0
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141 ddrem131 remainder 0 -1 -> 0
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142 ddrem132 remainder 0.0 1 -> 0.0
\r
143 ddrem133 remainder 0.0 -1 -> 0.0
\r
144 ddrem134 remainder -0 1 -> -0
\r
145 ddrem135 remainder -0 -1 -> -0
\r
146 ddrem136 remainder -0.0 1 -> -0.0
\r
147 ddrem137 remainder -0.0 -1 -> -0.0
\r
150 ddrem143 remainder 0.5 2 -> 0.5
\r
151 ddrem144 remainder 0.5 2.1 -> 0.5
\r
152 ddrem145 remainder 0.5 2.01 -> 0.50
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153 ddrem146 remainder 0.5 2.001 -> 0.500
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154 ddrem147 remainder 0.50 2 -> 0.50
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155 ddrem148 remainder 0.50 2.01 -> 0.50
\r
156 ddrem149 remainder 0.50 2.001 -> 0.500
\r
159 ddrem150 remainder 1 1 -> 0
\r
160 ddrem151 remainder 1 2 -> 1
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161 ddrem152 remainder 1 3 -> 1
\r
162 ddrem153 remainder 1 4 -> 1
\r
163 ddrem154 remainder 1 5 -> 1
\r
164 ddrem155 remainder 1 6 -> 1
\r
165 ddrem156 remainder 1 7 -> 1
\r
166 ddrem157 remainder 1 8 -> 1
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167 ddrem158 remainder 1 9 -> 1
\r
168 ddrem159 remainder 1 10 -> 1
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169 ddrem160 remainder 1 1 -> 0
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170 ddrem161 remainder 2 1 -> 0
\r
171 ddrem162 remainder 3 1 -> 0
\r
172 ddrem163 remainder 4 1 -> 0
\r
173 ddrem164 remainder 5 1 -> 0
\r
174 ddrem165 remainder 6 1 -> 0
\r
175 ddrem166 remainder 7 1 -> 0
\r
176 ddrem167 remainder 8 1 -> 0
\r
177 ddrem168 remainder 9 1 -> 0
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178 ddrem169 remainder 10 1 -> 0
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180 -- some differences from remainderNear
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181 ddrem171 remainder 0.4 1.020 -> 0.400
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182 ddrem172 remainder 0.50 1.020 -> 0.500
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183 ddrem173 remainder 0.51 1.020 -> 0.510
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184 ddrem174 remainder 0.52 1.020 -> 0.520
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185 ddrem175 remainder 0.6 1.020 -> 0.600
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187 -- More flavours of remainder by 0
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188 ddrem201 remainder 0 0 -> NaN Division_undefined
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189 ddrem202 remainder 0.0E5 0 -> NaN Division_undefined
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190 ddrem203 remainder 0.000 0 -> NaN Division_undefined
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191 ddrem204 remainder 0.0001 0 -> NaN Invalid_operation
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192 ddrem205 remainder 0.01 0 -> NaN Invalid_operation
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193 ddrem206 remainder 0.1 0 -> NaN Invalid_operation
\r
194 ddrem207 remainder 1 0 -> NaN Invalid_operation
\r
195 ddrem208 remainder 1 0.0 -> NaN Invalid_operation
\r
196 ddrem209 remainder 10 0.0 -> NaN Invalid_operation
\r
197 ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
\r
198 ddrem211 remainder 1E+380 0 -> NaN Invalid_operation
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200 -- some differences from remainderNear
\r
201 ddrem231 remainder -0.4 1.020 -> -0.400
\r
202 ddrem232 remainder -0.50 1.020 -> -0.500
\r
203 ddrem233 remainder -0.51 1.020 -> -0.510
\r
204 ddrem234 remainder -0.52 1.020 -> -0.520
\r
205 ddrem235 remainder -0.6 1.020 -> -0.600
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208 ddrem240 remainder 1E+2 1.00 -> 0.00
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210 -- ddrem3xx are from DiagBigDecimal
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211 ddrem301 remainder 1 3 -> 1
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212 ddrem302 remainder 5 5 -> 0
\r
213 ddrem303 remainder 13 10 -> 3
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214 ddrem304 remainder 13 50 -> 13
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215 ddrem305 remainder 13 100 -> 13
\r
216 ddrem306 remainder 13 1000 -> 13
\r
217 ddrem307 remainder .13 1 -> 0.13
\r
218 ddrem308 remainder 0.133 1 -> 0.133
\r
219 ddrem309 remainder 0.1033 1 -> 0.1033
\r
220 ddrem310 remainder 1.033 1 -> 0.033
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221 ddrem311 remainder 10.33 1 -> 0.33
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222 ddrem312 remainder 10.33 10 -> 0.33
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223 ddrem313 remainder 103.3 1 -> 0.3
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224 ddrem314 remainder 133 10 -> 3
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225 ddrem315 remainder 1033 10 -> 3
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226 ddrem316 remainder 1033 50 -> 33
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227 ddrem317 remainder 101.0 3 -> 2.0
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228 ddrem318 remainder 102.0 3 -> 0.0
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229 ddrem319 remainder 103.0 3 -> 1.0
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230 ddrem320 remainder 2.40 1 -> 0.40
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231 ddrem321 remainder 2.400 1 -> 0.400
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232 ddrem322 remainder 2.4 1 -> 0.4
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233 ddrem323 remainder 2.4 2 -> 0.4
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234 ddrem324 remainder 2.400 2 -> 0.400
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235 ddrem325 remainder 1 0.3 -> 0.1
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236 ddrem326 remainder 1 0.30 -> 0.10
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237 ddrem327 remainder 1 0.300 -> 0.100
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238 ddrem328 remainder 1 0.3000 -> 0.1000
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239 ddrem329 remainder 1.0 0.3 -> 0.1
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240 ddrem330 remainder 1.00 0.3 -> 0.10
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241 ddrem331 remainder 1.000 0.3 -> 0.100
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242 ddrem332 remainder 1.0000 0.3 -> 0.1000
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243 ddrem333 remainder 0.5 2 -> 0.5
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244 ddrem334 remainder 0.5 2.1 -> 0.5
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245 ddrem335 remainder 0.5 2.01 -> 0.50
\r
246 ddrem336 remainder 0.5 2.001 -> 0.500
\r
247 ddrem337 remainder 0.50 2 -> 0.50
\r
248 ddrem338 remainder 0.50 2.01 -> 0.50
\r
249 ddrem339 remainder 0.50 2.001 -> 0.500
\r
251 ddrem340 remainder 0.5 0.5000001 -> 0.5000000
\r
252 ddrem341 remainder 0.5 0.50000001 -> 0.50000000
\r
253 ddrem342 remainder 0.5 0.500000001 -> 0.500000000
\r
254 ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000
\r
255 ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000
\r
256 ddrem345 remainder 0.5 0.4999999 -> 1E-7
\r
257 ddrem346 remainder 0.5 0.49999999 -> 1E-8
\r
258 ddrem347 remainder 0.5 0.499999999 -> 1E-9
\r
259 ddrem348 remainder 0.5 0.4999999999 -> 1E-10
\r
260 ddrem349 remainder 0.5 0.49999999999 -> 1E-11
\r
261 ddrem350 remainder 0.5 0.499999999999 -> 1E-12
\r
263 ddrem351 remainder 0.03 7 -> 0.03
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264 ddrem352 remainder 5 2 -> 1
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265 ddrem353 remainder 4.1 2 -> 0.1
\r
266 ddrem354 remainder 4.01 2 -> 0.01
\r
267 ddrem355 remainder 4.001 2 -> 0.001
\r
268 ddrem356 remainder 4.0001 2 -> 0.0001
\r
269 ddrem357 remainder 4.00001 2 -> 0.00001
\r
270 ddrem358 remainder 4.000001 2 -> 0.000001
\r
271 ddrem359 remainder 4.0000001 2 -> 1E-7
\r
273 ddrem360 remainder 1.2 0.7345 -> 0.4655
\r
274 ddrem361 remainder 0.8 12 -> 0.8
\r
275 ddrem362 remainder 0.8 0.2 -> 0.0
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276 ddrem363 remainder 0.8 0.3 -> 0.2
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277 ddrem364 remainder 0.800 12 -> 0.800
\r
278 ddrem365 remainder 0.800 1.7 -> 0.800
\r
279 ddrem366 remainder 2.400 2 -> 0.400
\r
281 ddrem371 remainder 2.400 2 -> 0.400
\r
283 ddrem381 remainder 12345 1 -> 0
\r
284 ddrem382 remainder 12345 1.0001 -> 0.7657
\r
285 ddrem383 remainder 12345 1.001 -> 0.668
\r
286 ddrem384 remainder 12345 1.01 -> 0.78
\r
287 ddrem385 remainder 12345 1.1 -> 0.8
\r
288 ddrem386 remainder 12355 4 -> 3
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289 ddrem387 remainder 12345 4 -> 1
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290 ddrem388 remainder 12355 4.0001 -> 2.6912
\r
291 ddrem389 remainder 12345 4.0001 -> 0.6914
\r
292 ddrem390 remainder 12345 4.9 -> 1.9
\r
293 ddrem391 remainder 12345 4.99 -> 4.73
\r
294 ddrem392 remainder 12345 4.999 -> 2.469
\r
295 ddrem393 remainder 12345 4.9999 -> 0.2469
\r
296 ddrem394 remainder 12345 5 -> 0
\r
297 ddrem395 remainder 12345 5.0001 -> 4.7532
\r
298 ddrem396 remainder 12345 5.001 -> 2.532
\r
299 ddrem397 remainder 12345 5.01 -> 0.36
\r
300 ddrem398 remainder 12345 5.1 -> 3.0
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302 -- the nasty division-by-1 cases
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303 ddrem401 remainder 0.5 1 -> 0.5
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304 ddrem402 remainder 0.55 1 -> 0.55
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305 ddrem403 remainder 0.555 1 -> 0.555
\r
306 ddrem404 remainder 0.5555 1 -> 0.5555
\r
307 ddrem405 remainder 0.55555 1 -> 0.55555
\r
308 ddrem406 remainder 0.555555 1 -> 0.555555
\r
309 ddrem407 remainder 0.5555555 1 -> 0.5555555
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310 ddrem408 remainder 0.55555555 1 -> 0.55555555
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311 ddrem409 remainder 0.555555555 1 -> 0.555555555
\r
314 ddrem421 remainder 1E+384 1 -> NaN Division_impossible
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315 ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped
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316 ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped
\r
317 ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
\r
318 ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
\r
319 ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped
\r
320 ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped
\r
321 ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
\r
322 ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
\r
323 ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
\r
325 ddrem431 remainder 1E-397 1E-398 -> 0E-398
\r
326 ddrem432 remainder 1E-397 2E-398 -> 0E-398
\r
327 ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal
\r
328 ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal
\r
329 ddrem435 remainder 1E-397 5E-398 -> 0E-398
\r
330 ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal
\r
331 ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal
\r
332 ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal
\r
333 ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal
\r
334 ddrem440 remainder 1E-397 10E-398 -> 0E-398
\r
335 ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal
\r
336 ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal
\r
337 ddrem443 remainder 100E-397 20E-398 -> 0E-398
\r
338 ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal
\r
339 ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal
\r
342 ddrem650 remainder 1 1 -> 0
\r
343 ddrem651 remainder -1 1 -> -0
\r
344 ddrem652 remainder 1 -1 -> 0
\r
345 ddrem653 remainder -1 -1 -> -0
\r
346 ddrem654 remainder 0 1 -> 0
\r
347 ddrem655 remainder -0 1 -> -0
\r
348 ddrem656 remainder 0 -1 -> 0
\r
349 ddrem657 remainder -0 -1 -> -0
\r
350 ddrem658 remainder 0.00 1 -> 0.00
\r
351 ddrem659 remainder -0.00 1 -> -0.00
\r
354 ddrem680 remainder Inf -Inf -> NaN Invalid_operation
\r
355 ddrem681 remainder Inf -1000 -> NaN Invalid_operation
\r
356 ddrem682 remainder Inf -1 -> NaN Invalid_operation
\r
357 ddrem683 remainder Inf 0 -> NaN Invalid_operation
\r
358 ddrem684 remainder Inf -0 -> NaN Invalid_operation
\r
359 ddrem685 remainder Inf 1 -> NaN Invalid_operation
\r
360 ddrem686 remainder Inf 1000 -> NaN Invalid_operation
\r
361 ddrem687 remainder Inf Inf -> NaN Invalid_operation
\r
362 ddrem688 remainder -1000 Inf -> -1000
\r
363 ddrem689 remainder -Inf Inf -> NaN Invalid_operation
\r
364 ddrem691 remainder -1 Inf -> -1
\r
365 ddrem692 remainder 0 Inf -> 0
\r
366 ddrem693 remainder -0 Inf -> -0
\r
367 ddrem694 remainder 1 Inf -> 1
\r
368 ddrem695 remainder 1000 Inf -> 1000
\r
369 ddrem696 remainder Inf Inf -> NaN Invalid_operation
\r
371 ddrem700 remainder -Inf -Inf -> NaN Invalid_operation
\r
372 ddrem701 remainder -Inf -1000 -> NaN Invalid_operation
\r
373 ddrem702 remainder -Inf -1 -> NaN Invalid_operation
\r
374 ddrem703 remainder -Inf -0 -> NaN Invalid_operation
\r
375 ddrem704 remainder -Inf 0 -> NaN Invalid_operation
\r
376 ddrem705 remainder -Inf 1 -> NaN Invalid_operation
\r
377 ddrem706 remainder -Inf 1000 -> NaN Invalid_operation
\r
378 ddrem707 remainder -Inf Inf -> NaN Invalid_operation
\r
379 ddrem708 remainder -Inf -Inf -> NaN Invalid_operation
\r
380 ddrem709 remainder -1000 Inf -> -1000
\r
381 ddrem710 remainder -1 -Inf -> -1
\r
382 ddrem711 remainder -0 -Inf -> -0
\r
383 ddrem712 remainder 0 -Inf -> 0
\r
384 ddrem713 remainder 1 -Inf -> 1
\r
385 ddrem714 remainder 1000 -Inf -> 1000
\r
386 ddrem715 remainder Inf -Inf -> NaN Invalid_operation
\r
388 ddrem721 remainder NaN -Inf -> NaN
\r
389 ddrem722 remainder NaN -1000 -> NaN
\r
390 ddrem723 remainder NaN -1 -> NaN
\r
391 ddrem724 remainder NaN -0 -> NaN
\r
392 ddrem725 remainder -NaN 0 -> -NaN
\r
393 ddrem726 remainder NaN 1 -> NaN
\r
394 ddrem727 remainder NaN 1000 -> NaN
\r
395 ddrem728 remainder NaN Inf -> NaN
\r
396 ddrem729 remainder NaN -NaN -> NaN
\r
397 ddrem730 remainder -Inf NaN -> NaN
\r
398 ddrem731 remainder -1000 NaN -> NaN
\r
399 ddrem732 remainder -1 NaN -> NaN
\r
400 ddrem733 remainder -0 -NaN -> -NaN
\r
401 ddrem734 remainder 0 NaN -> NaN
\r
402 ddrem735 remainder 1 -NaN -> -NaN
\r
403 ddrem736 remainder 1000 NaN -> NaN
\r
404 ddrem737 remainder Inf NaN -> NaN
\r
406 ddrem741 remainder sNaN -Inf -> NaN Invalid_operation
\r
407 ddrem742 remainder sNaN -1000 -> NaN Invalid_operation
\r
408 ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation
\r
409 ddrem744 remainder sNaN -0 -> NaN Invalid_operation
\r
410 ddrem745 remainder sNaN 0 -> NaN Invalid_operation
\r
411 ddrem746 remainder sNaN 1 -> NaN Invalid_operation
\r
412 ddrem747 remainder sNaN 1000 -> NaN Invalid_operation
\r
413 ddrem749 remainder sNaN NaN -> NaN Invalid_operation
\r
414 ddrem750 remainder sNaN sNaN -> NaN Invalid_operation
\r
415 ddrem751 remainder NaN sNaN -> NaN Invalid_operation
\r
416 ddrem752 remainder -Inf sNaN -> NaN Invalid_operation
\r
417 ddrem753 remainder -1000 sNaN -> NaN Invalid_operation
\r
418 ddrem754 remainder -1 sNaN -> NaN Invalid_operation
\r
419 ddrem755 remainder -0 sNaN -> NaN Invalid_operation
\r
420 ddrem756 remainder 0 sNaN -> NaN Invalid_operation
\r
421 ddrem757 remainder 1 sNaN -> NaN Invalid_operation
\r
422 ddrem758 remainder 1000 sNaN -> NaN Invalid_operation
\r
423 ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation
\r
426 ddrem760 remainder NaN1 NaN7 -> NaN1
\r
427 ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
\r
428 ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
\r
429 ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
\r
430 ddrem764 remainder 15 NaN11 -> NaN11
\r
431 ddrem765 remainder NaN6 NaN12 -> NaN6
\r
432 ddrem766 remainder Inf NaN13 -> NaN13
\r
433 ddrem767 remainder NaN14 -Inf -> NaN14
\r
434 ddrem768 remainder 0 NaN15 -> NaN15
\r
435 ddrem769 remainder NaN16 -0 -> NaN16
\r
437 -- edge cases of impossible
\r
438 ddrem770 remainder 1234567890123456 10 -> 6
\r
439 ddrem771 remainder 1234567890123456 1 -> 0
\r
440 ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible
\r
441 ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible
\r
443 -- long operand checks
\r
444 ddrem801 remainder 12345678000 100 -> 0
\r
445 ddrem802 remainder 1 12345678000 -> 1
\r
446 ddrem803 remainder 1234567800 10 -> 0
\r
447 ddrem804 remainder 1 1234567800 -> 1
\r
448 ddrem805 remainder 1234567890 10 -> 0
\r
449 ddrem806 remainder 1 1234567890 -> 1
\r
450 ddrem807 remainder 1234567891 10 -> 1
\r
451 ddrem808 remainder 1 1234567891 -> 1
\r
452 ddrem809 remainder 12345678901 100 -> 1
\r
453 ddrem810 remainder 1 12345678901 -> 1
\r
454 ddrem811 remainder 1234567896 10 -> 6
\r
455 ddrem812 remainder 1 1234567896 -> 1
\r
457 ddrem821 remainder 12345678000 100 -> 0
\r
458 ddrem822 remainder 1 12345678000 -> 1
\r
459 ddrem823 remainder 1234567800 10 -> 0
\r
460 ddrem824 remainder 1 1234567800 -> 1
\r
461 ddrem825 remainder 1234567890 10 -> 0
\r
462 ddrem826 remainder 1 1234567890 -> 1
\r
463 ddrem827 remainder 1234567891 10 -> 1
\r
464 ddrem828 remainder 1 1234567891 -> 1
\r
465 ddrem829 remainder 12345678901 100 -> 1
\r
466 ddrem830 remainder 1 12345678901 -> 1
\r
467 ddrem831 remainder 1234567896 10 -> 6
\r
468 ddrem832 remainder 1 1234567896 -> 1
\r
471 ddrem840 remainder 100000000.0 1 -> 0.0
\r
472 ddrem841 remainder 100000000.4 1 -> 0.4
\r
473 ddrem842 remainder 100000000.5 1 -> 0.5
\r
474 ddrem843 remainder 100000000.9 1 -> 0.9
\r
475 ddrem844 remainder 100000000.999 1 -> 0.999
\r
476 ddrem850 remainder 100000003 5 -> 3
\r
477 ddrem851 remainder 10000003 5 -> 3
\r
478 ddrem852 remainder 1000003 5 -> 3
\r
479 ddrem853 remainder 100003 5 -> 3
\r
480 ddrem854 remainder 10003 5 -> 3
\r
481 ddrem855 remainder 1003 5 -> 3
\r
482 ddrem856 remainder 103 5 -> 3
\r
483 ddrem857 remainder 13 5 -> 3
\r
484 ddrem858 remainder 1 5 -> 1
\r
486 -- Vladimir's cases 1234567890123456
\r
487 ddrem860 remainder 123.0e1 1000000000000000 -> 1230
\r
488 ddrem861 remainder 1230 1000000000000000 -> 1230
\r
489 ddrem862 remainder 12.3e2 1000000000000000 -> 1230
\r
490 ddrem863 remainder 1.23e3 1000000000000000 -> 1230
\r
491 ddrem864 remainder 123e1 1000000000000000 -> 1230
\r
492 ddrem870 remainder 123e1 1000000000000000 -> 1230
\r
493 ddrem871 remainder 123e1 100000000000000 -> 1230
\r
494 ddrem872 remainder 123e1 10000000000000 -> 1230
\r
495 ddrem873 remainder 123e1 1000000000000 -> 1230
\r
496 ddrem874 remainder 123e1 100000000000 -> 1230
\r
497 ddrem875 remainder 123e1 10000000000 -> 1230
\r
498 ddrem876 remainder 123e1 1000000000 -> 1230
\r
499 ddrem877 remainder 123e1 100000000 -> 1230
\r
500 ddrem878 remainder 1230 100000000 -> 1230
\r
501 ddrem879 remainder 123e1 10000000 -> 1230
\r
502 ddrem880 remainder 123e1 1000000 -> 1230
\r
503 ddrem881 remainder 123e1 100000 -> 1230
\r
504 ddrem882 remainder 123e1 10000 -> 1230
\r
505 ddrem883 remainder 123e1 1000 -> 230
\r
506 ddrem884 remainder 123e1 100 -> 30
\r
507 ddrem885 remainder 123e1 10 -> 0
\r
508 ddrem886 remainder 123e1 1 -> 0
\r
510 ddrem890 remainder 123e1 2000000000000000 -> 1230
\r
511 ddrem891 remainder 123e1 200000000000000 -> 1230
\r
512 ddrem892 remainder 123e1 20000000000000 -> 1230
\r
513 ddrem893 remainder 123e1 2000000000000 -> 1230
\r
514 ddrem894 remainder 123e1 200000000000 -> 1230
\r
515 ddrem895 remainder 123e1 20000000000 -> 1230
\r
516 ddrem896 remainder 123e1 2000000000 -> 1230
\r
517 ddrem897 remainder 123e1 200000000 -> 1230
\r
518 ddrem899 remainder 123e1 20000000 -> 1230
\r
519 ddrem900 remainder 123e1 2000000 -> 1230
\r
520 ddrem901 remainder 123e1 200000 -> 1230
\r
521 ddrem902 remainder 123e1 20000 -> 1230
\r
522 ddrem903 remainder 123e1 2000 -> 1230
\r
523 ddrem904 remainder 123e1 200 -> 30
\r
524 ddrem905 remainder 123e1 20 -> 10
\r
525 ddrem906 remainder 123e1 2 -> 0
\r
527 ddrem910 remainder 123e1 5000000000000000 -> 1230
\r
528 ddrem911 remainder 123e1 500000000000000 -> 1230
\r
529 ddrem912 remainder 123e1 50000000000000 -> 1230
\r
530 ddrem913 remainder 123e1 5000000000000 -> 1230
\r
531 ddrem914 remainder 123e1 500000000000 -> 1230
\r
532 ddrem915 remainder 123e1 50000000000 -> 1230
\r
533 ddrem916 remainder 123e1 5000000000 -> 1230
\r
534 ddrem917 remainder 123e1 500000000 -> 1230
\r
535 ddrem919 remainder 123e1 50000000 -> 1230
\r
536 ddrem920 remainder 123e1 5000000 -> 1230
\r
537 ddrem921 remainder 123e1 500000 -> 1230
\r
538 ddrem922 remainder 123e1 50000 -> 1230
\r
539 ddrem923 remainder 123e1 5000 -> 1230
\r
540 ddrem924 remainder 123e1 500 -> 230
\r
541 ddrem925 remainder 123e1 50 -> 30
\r
542 ddrem926 remainder 123e1 5 -> 0
\r
544 ddrem930 remainder 123e1 9000000000000000 -> 1230
\r
545 ddrem931 remainder 123e1 900000000000000 -> 1230
\r
546 ddrem932 remainder 123e1 90000000000000 -> 1230
\r
547 ddrem933 remainder 123e1 9000000000000 -> 1230
\r
548 ddrem934 remainder 123e1 900000000000 -> 1230
\r
549 ddrem935 remainder 123e1 90000000000 -> 1230
\r
550 ddrem936 remainder 123e1 9000000000 -> 1230
\r
551 ddrem937 remainder 123e1 900000000 -> 1230
\r
552 ddrem939 remainder 123e1 90000000 -> 1230
\r
553 ddrem940 remainder 123e1 9000000 -> 1230
\r
554 ddrem941 remainder 123e1 900000 -> 1230
\r
555 ddrem942 remainder 123e1 90000 -> 1230
\r
556 ddrem943 remainder 123e1 9000 -> 1230
\r
557 ddrem944 remainder 123e1 900 -> 330
\r
558 ddrem945 remainder 123e1 90 -> 60
\r
559 ddrem946 remainder 123e1 9 -> 6
\r
561 ddrem950 remainder 123e1 1000000000000000 -> 1230
\r
562 ddrem961 remainder 123e1 2999999999999999 -> 1230
\r
563 ddrem962 remainder 123e1 3999999999999999 -> 1230
\r
564 ddrem963 remainder 123e1 4999999999999999 -> 1230
\r
565 ddrem964 remainder 123e1 5999999999999999 -> 1230
\r
566 ddrem965 remainder 123e1 6999999999999999 -> 1230
\r
567 ddrem966 remainder 123e1 7999999999999999 -> 1230
\r
568 ddrem967 remainder 123e1 8999999999999999 -> 1230
\r
569 ddrem968 remainder 123e1 9999999999999999 -> 1230
\r
570 ddrem969 remainder 123e1 9876543210987654 -> 1230
\r
572 ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
\r
574 -- overflow and underflow tests [from divide]
\r
575 ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
\r
576 ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
\r
577 ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
\r
578 ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
\r
579 ddrem1055 remainder 1e-277 1e+311 -> 1E-277
\r
580 ddrem1056 remainder 1e-277 -1e+311 -> 1E-277
\r
581 ddrem1057 remainder -1e-277 1e+311 -> -1E-277
\r
582 ddrem1058 remainder -1e-277 -1e+311 -> -1E-277
\r
584 -- destructive subtract
\r
585 ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546
\r
586 ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557
\r
587 ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668
\r
588 ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137
\r
589 ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137
\r
590 ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696
\r
591 ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691
\r
592 ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691
\r
593 ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309
\r
594 ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310
\r
595 ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314
\r
598 ddrem1000 remainder 10 # -> NaN Invalid_operation
\r
599 ddrem1001 remainder # 10 -> NaN Invalid_operation
\r