dqScaleB.decTest 15 KB

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  1. ------------------------------------------------------------------------
  2. -- dqScalebB.decTest -- scale a decQuad by powers of 10 --
  3. -- Copyright (c) IBM Corporation, 1981, 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. version: 2.59
  21. extended: 1
  22. clamp: 1
  23. precision: 34
  24. maxExponent: 6144
  25. minExponent: -6143
  26. rounding: half_even
  27. -- Max |rhs| is 2*(6144+34) = 12356
  28. -- Sanity checks
  29. dqscb001 scaleb 7.50 10 -> 7.50E+10
  30. dqscb002 scaleb 7.50 3 -> 7.50E+3
  31. dqscb003 scaleb 7.50 2 -> 750
  32. dqscb004 scaleb 7.50 1 -> 75.0
  33. dqscb005 scaleb 7.50 0 -> 7.50
  34. dqscb006 scaleb 7.50 -1 -> 0.750
  35. dqscb007 scaleb 7.50 -2 -> 0.0750
  36. dqscb008 scaleb 7.50 -10 -> 7.50E-10
  37. dqscb009 scaleb -7.50 3 -> -7.50E+3
  38. dqscb010 scaleb -7.50 2 -> -750
  39. dqscb011 scaleb -7.50 1 -> -75.0
  40. dqscb012 scaleb -7.50 0 -> -7.50
  41. dqscb013 scaleb -7.50 -1 -> -0.750
  42. -- Infinities
  43. dqscb014 scaleb Infinity 1 -> Infinity
  44. dqscb015 scaleb -Infinity 2 -> -Infinity
  45. dqscb016 scaleb Infinity -1 -> Infinity
  46. dqscb017 scaleb -Infinity -2 -> -Infinity
  47. -- Next two are somewhat undefined in 754r; treat as non-integer
  48. dqscb018 scaleb 10 Infinity -> NaN Invalid_operation
  49. dqscb019 scaleb 10 -Infinity -> NaN Invalid_operation
  50. -- NaNs are undefined in 754r; assume usual processing
  51. -- NaNs, 0 payload
  52. dqscb021 scaleb NaN 1 -> NaN
  53. dqscb022 scaleb -NaN -1 -> -NaN
  54. dqscb023 scaleb sNaN 1 -> NaN Invalid_operation
  55. dqscb024 scaleb -sNaN 1 -> -NaN Invalid_operation
  56. dqscb025 scaleb 4 NaN -> NaN
  57. dqscb026 scaleb -Inf -NaN -> -NaN
  58. dqscb027 scaleb 4 sNaN -> NaN Invalid_operation
  59. dqscb028 scaleb Inf -sNaN -> -NaN Invalid_operation
  60. -- non-integer RHS
  61. dqscb030 scaleb 1.23 1 -> 12.3
  62. dqscb031 scaleb 1.23 1.00 -> NaN Invalid_operation
  63. dqscb032 scaleb 1.23 1.1 -> NaN Invalid_operation
  64. dqscb033 scaleb 1.23 1.01 -> NaN Invalid_operation
  65. dqscb034 scaleb 1.23 0.01 -> NaN Invalid_operation
  66. dqscb035 scaleb 1.23 0.11 -> NaN Invalid_operation
  67. dqscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation
  68. dqscb037 scaleb 1.23 -1 -> 0.123
  69. dqscb0614 scaleb 1.23 -1.00 -> NaN Invalid_operation
  70. dqscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation
  71. dqscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation
  72. dqscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation
  73. dqscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation
  74. dqscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation
  75. dqscb044 scaleb 1.23 0.1 -> NaN Invalid_operation
  76. dqscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation
  77. dqscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation
  78. dqscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation
  79. -- out-of range RHS
  80. dqscb120 scaleb 1.23 12355 -> Infinity Overflow Inexact Rounded
  81. dqscb121 scaleb 1.23 12356 -> Infinity Overflow Inexact Rounded
  82. dqscb122 scaleb 1.23 12357 -> NaN Invalid_operation
  83. dqscb123 scaleb 1.23 12358 -> NaN Invalid_operation
  84. dqscb124 scaleb 1.23 -12355 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
  85. dqscb125 scaleb 1.23 -12356 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
  86. dqscb126 scaleb 1.23 -12357 -> NaN Invalid_operation
  87. dqscb127 scaleb 1.23 -12358 -> NaN Invalid_operation
  88. -- NaNs, non-0 payload
  89. -- propagating NaNs
  90. dqscb861 scaleb NaN01 -Inf -> NaN1
  91. dqscb862 scaleb -NaN02 -1000 -> -NaN2
  92. dqscb863 scaleb NaN03 1000 -> NaN3
  93. dqscb864 scaleb NaN04 Inf -> NaN4
  94. dqscb865 scaleb NaN05 NaN61 -> NaN5
  95. dqscb866 scaleb -Inf -NaN71 -> -NaN71
  96. dqscb867 scaleb -1000 NaN81 -> NaN81
  97. dqscb868 scaleb 1000 NaN91 -> NaN91
  98. dqscb869 scaleb Inf NaN101 -> NaN101
  99. dqscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation
  100. dqscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation
  101. dqscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation
  102. dqscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation
  103. dqscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation
  104. dqscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation
  105. dqscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation
  106. dqscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation
  107. dqscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation
  108. dqscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation
  109. dqscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation
  110. -- finites
  111. dqscb051 scaleb 7 -2 -> 0.07
  112. dqscb052 scaleb -7 -2 -> -0.07
  113. dqscb053 scaleb 75 -2 -> 0.75
  114. dqscb054 scaleb -75 -2 -> -0.75
  115. dqscb055 scaleb 7.50 -2 -> 0.0750
  116. dqscb056 scaleb -7.50 -2 -> -0.0750
  117. dqscb057 scaleb 7.500 -2 -> 0.07500
  118. dqscb058 scaleb -7.500 -2 -> -0.07500
  119. dqscb061 scaleb 7 -1 -> 0.7
  120. dqscb062 scaleb -7 -1 -> -0.7
  121. dqscb063 scaleb 75 -1 -> 7.5
  122. dqscb064 scaleb -75 -1 -> -7.5
  123. dqscb065 scaleb 7.50 -1 -> 0.750
  124. dqscb066 scaleb -7.50 -1 -> -0.750
  125. dqscb067 scaleb 7.500 -1 -> 0.7500
  126. dqscb068 scaleb -7.500 -1 -> -0.7500
  127. dqscb071 scaleb 7 0 -> 7
  128. dqscb072 scaleb -7 0 -> -7
  129. dqscb073 scaleb 75 0 -> 75
  130. dqscb074 scaleb -75 0 -> -75
  131. dqscb075 scaleb 7.50 0 -> 7.50
  132. dqscb076 scaleb -7.50 0 -> -7.50
  133. dqscb077 scaleb 7.500 0 -> 7.500
  134. dqscb078 scaleb -7.500 0 -> -7.500
  135. dqscb081 scaleb 7 1 -> 7E+1
  136. dqscb082 scaleb -7 1 -> -7E+1
  137. dqscb083 scaleb 75 1 -> 7.5E+2
  138. dqscb084 scaleb -75 1 -> -7.5E+2
  139. dqscb085 scaleb 7.50 1 -> 75.0
  140. dqscb086 scaleb -7.50 1 -> -75.0
  141. dqscb087 scaleb 7.500 1 -> 75.00
  142. dqscb088 scaleb -7.500 1 -> -75.00
  143. dqscb091 scaleb 7 2 -> 7E+2
  144. dqscb092 scaleb -7 2 -> -7E+2
  145. dqscb093 scaleb 75 2 -> 7.5E+3
  146. dqscb094 scaleb -75 2 -> -7.5E+3
  147. dqscb095 scaleb 7.50 2 -> 750
  148. dqscb096 scaleb -7.50 2 -> -750
  149. dqscb097 scaleb 7.500 2 -> 750.0
  150. dqscb098 scaleb -7.500 2 -> -750.0
  151. -- zeros
  152. dqscb111 scaleb 0 1 -> 0E+1
  153. dqscb112 scaleb -0 2 -> -0E+2
  154. dqscb113 scaleb 0E+4 3 -> 0E+7
  155. dqscb114 scaleb -0E+4 4 -> -0E+8
  156. dqscb115 scaleb 0.0000 5 -> 0E+1
  157. dqscb116 scaleb -0.0000 6 -> -0E+2
  158. dqscb117 scaleb 0E-141 7 -> 0E-134
  159. dqscb118 scaleb -0E-141 8 -> -0E-133
  160. -- Nmax, Nmin, Ntiny
  161. dqscb132 scaleb 9.999999999999999999999999999999999E+6144 +6144 -> Infinity Overflow Inexact Rounded
  162. dqscb133 scaleb 9.999999999999999999999999999999999E+6144 +10 -> Infinity Overflow Inexact Rounded
  163. dqscb134 scaleb 9.999999999999999999999999999999999E+6144 +1 -> Infinity Overflow Inexact Rounded
  164. dqscb135 scaleb 9.999999999999999999999999999999999E+6144 0 -> 9.999999999999999999999999999999999E+6144
  165. dqscb136 scaleb 9.999999999999999999999999999999999E+6144 -1 -> 9.999999999999999999999999999999999E+6143
  166. dqscb137 scaleb 1E-6143 +1 -> 1E-6142
  167. dqscb1614 scaleb 1E-6143 -0 -> 1E-6143
  168. dqscb139 scaleb 1E-6143 -1 -> 1E-6144 Subnormal
  169. dqscb140 scaleb 1.000000000000000000000000000000000E-6143 +1 -> 1.000000000000000000000000000000000E-6142
  170. dqscb141 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
  171. dqscb142 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
  172. dqscb143 scaleb 1E-6176 +1 -> 1E-6175 Subnormal
  173. dqscb144 scaleb 1E-6176 -0 -> 1E-6176 Subnormal
  174. dqscb145 scaleb 1E-6176 -1 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
  175. dqscb150 scaleb -1E-6176 +1 -> -1E-6175 Subnormal
  176. dqscb151 scaleb -1E-6176 -0 -> -1E-6176 Subnormal
  177. dqscb152 scaleb -1E-6176 -1 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
  178. dqscb153 scaleb -1.000000000000000000000000000000000E-6143 +1 -> -1.000000000000000000000000000000000E-6142
  179. dqscb154 scaleb -1.000000000000000000000000000000000E-6143 +0 -> -1.000000000000000000000000000000000E-6143
  180. dqscb155 scaleb -1.000000000000000000000000000000000E-6143 -1 -> -1.00000000000000000000000000000000E-6144 Subnormal Rounded
  181. dqscb156 scaleb -1E-6143 +1 -> -1E-6142
  182. dqscb157 scaleb -1E-6143 -0 -> -1E-6143
  183. dqscb158 scaleb -1E-6143 -1 -> -1E-6144 Subnormal
  184. dqscb159 scaleb -9.999999999999999999999999999999999E+6144 +1 -> -Infinity Overflow Inexact Rounded
  185. dqscb160 scaleb -9.999999999999999999999999999999999E+6144 +0 -> -9.999999999999999999999999999999999E+6144
  186. dqscb161 scaleb -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6143
  187. dqscb162 scaleb -9E+6144 +1 -> -Infinity Overflow Inexact Rounded
  188. dqscb163 scaleb -1E+6144 +1 -> -Infinity Overflow Inexact Rounded
  189. -- some Origami
  190. -- (these check that overflow is being done correctly)
  191. dqscb171 scaleb 1000E+6109 +1 -> 1.000E+6113
  192. dqscb172 scaleb 1000E+6110 +1 -> 1.000E+6114
  193. dqscb173 scaleb 1000E+6111 +1 -> 1.0000E+6115 Clamped
  194. dqscb174 scaleb 1000E+6112 +1 -> 1.00000E+6116 Clamped
  195. dqscb175 scaleb 1000E+6113 +1 -> 1.000000E+6117 Clamped
  196. dqscb176 scaleb 1000E+6114 +1 -> 1.0000000E+6118 Clamped
  197. dqscb177 scaleb 1000E+6131 +1 -> 1.000000000000000000000000E+6135 Clamped
  198. dqscb178 scaleb 1000E+6132 +1 -> 1.0000000000000000000000000E+6136 Clamped
  199. dqscb179 scaleb 1000E+6133 +1 -> 1.00000000000000000000000000E+6137 Clamped
  200. dqscb180 scaleb 1000E+6134 +1 -> 1.000000000000000000000000000E+6138 Clamped
  201. dqscb181 scaleb 1000E+6135 +1 -> 1.0000000000000000000000000000E+6139 Clamped
  202. dqscb182 scaleb 1000E+6136 +1 -> 1.00000000000000000000000000000E+6140 Clamped
  203. dqscb183 scaleb 1000E+6137 +1 -> 1.000000000000000000000000000000E+6141 Clamped
  204. dqscb184 scaleb 1000E+6138 +1 -> 1.0000000000000000000000000000000E+6142 Clamped
  205. dqscb185 scaleb 1000E+6139 +1 -> 1.00000000000000000000000000000000E+6143 Clamped
  206. dqscb186 scaleb 1000E+6140 +1 -> 1.000000000000000000000000000000000E+6144 Clamped
  207. dqscb187 scaleb 1000E+6141 +1 -> Infinity Overflow Inexact Rounded
  208. -- and a few more subnormal truncations
  209. -- (these check that underflow is being done correctly)
  210. dqscb221 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
  211. dqscb222 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
  212. dqscb223 scaleb 1.000000000000000000000000000000000E-6143 -2 -> 1.0000000000000000000000000000000E-6145 Subnormal Rounded
  213. dqscb224 scaleb 1.000000000000000000000000000000000E-6143 -3 -> 1.000000000000000000000000000000E-6146 Subnormal Rounded
  214. dqscb225 scaleb 1.000000000000000000000000000000000E-6143 -4 -> 1.00000000000000000000000000000E-6147 Subnormal Rounded
  215. dqscb226 scaleb 1.000000000000000000000000000000000E-6143 -5 -> 1.0000000000000000000000000000E-6148 Subnormal Rounded
  216. dqscb227 scaleb 1.000000000000000000000000000000000E-6143 -6 -> 1.000000000000000000000000000E-6149 Subnormal Rounded
  217. dqscb228 scaleb 1.000000000000000000000000000000000E-6143 -7 -> 1.00000000000000000000000000E-6150 Subnormal Rounded
  218. dqscb229 scaleb 1.000000000000000000000000000000000E-6143 -8 -> 1.0000000000000000000000000E-6151 Subnormal Rounded
  219. dqscb230 scaleb 1.000000000000000000000000000000000E-6143 -9 -> 1.000000000000000000000000E-6152 Subnormal Rounded
  220. dqscb231 scaleb 1.000000000000000000000000000000000E-6143 -10 -> 1.00000000000000000000000E-6153 Subnormal Rounded
  221. dqscb232 scaleb 1.000000000000000000000000000000000E-6143 -11 -> 1.0000000000000000000000E-6154 Subnormal Rounded
  222. dqscb233 scaleb 1.000000000000000000000000000000000E-6143 -12 -> 1.000000000000000000000E-6155 Subnormal Rounded
  223. dqscb234 scaleb 1.000000000000000000000000000000000E-6143 -13 -> 1.00000000000000000000E-6156 Subnormal Rounded
  224. dqscb235 scaleb 1.000000000000000000000000000000000E-6143 -14 -> 1.0000000000000000000E-6157 Subnormal Rounded
  225. dqscb236 scaleb 1.000000000000000000000000000000000E-6143 -15 -> 1.000000000000000000E-6158 Subnormal Rounded
  226. dqscb237 scaleb 1.000000000000000000000000000000000E-6143 -16 -> 1.00000000000000000E-6159 Subnormal Rounded
  227. dqscb238 scaleb 1.000000000000000000000000000000000E-6143 -17 -> 1.0000000000000000E-6160 Subnormal Rounded
  228. dqscb239 scaleb 1.000000000000000000000000000000000E-6143 -18 -> 1.000000000000000E-6161 Subnormal Rounded
  229. dqscb202 scaleb 1.000000000000000000000000000000000E-6143 -19 -> 1.00000000000000E-6162 Subnormal Rounded
  230. dqscb203 scaleb 1.000000000000000000000000000000000E-6143 -20 -> 1.0000000000000E-6163 Subnormal Rounded
  231. dqscb204 scaleb 1.000000000000000000000000000000000E-6143 -21 -> 1.000000000000E-6164 Subnormal Rounded
  232. dqscb205 scaleb 1.000000000000000000000000000000000E-6143 -22 -> 1.00000000000E-6165 Subnormal Rounded
  233. dqscb206 scaleb 1.000000000000000000000000000000000E-6143 -23 -> 1.0000000000E-6166 Subnormal Rounded
  234. dqscb207 scaleb 1.000000000000000000000000000000000E-6143 -24 -> 1.000000000E-6167 Subnormal Rounded
  235. dqscb208 scaleb 1.000000000000000000000000000000000E-6143 -25 -> 1.00000000E-6168 Subnormal Rounded
  236. dqscb209 scaleb 1.000000000000000000000000000000000E-6143 -26 -> 1.0000000E-6169 Subnormal Rounded
  237. dqscb210 scaleb 1.000000000000000000000000000000000E-6143 -27 -> 1.000000E-6170 Subnormal Rounded
  238. dqscb211 scaleb 1.000000000000000000000000000000000E-6143 -28 -> 1.00000E-6171 Subnormal Rounded
  239. dqscb212 scaleb 1.000000000000000000000000000000000E-6143 -29 -> 1.0000E-6172 Subnormal Rounded
  240. dqscb213 scaleb 1.000000000000000000000000000000000E-6143 -30 -> 1.000E-6173 Subnormal Rounded
  241. dqscb214 scaleb 1.000000000000000000000000000000000E-6143 -31 -> 1.00E-6174 Subnormal Rounded
  242. dqscb215 scaleb 1.000000000000000000000000000000000E-6143 -32 -> 1.0E-6175 Subnormal Rounded
  243. dqscb216 scaleb 1.000000000000000000000000000000000E-6143 -33 -> 1E-6176 Subnormal Rounded
  244. dqscb217 scaleb 1.000000000000000000000000000000000E-6143 -34 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
  245. dqscb218 scaleb 1.000000000000000000000000000000000E-6143 -35 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped