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------------------------------------------------------------------------ -- dqCanonical.decTest -- test decQuad canonical results -- -- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.57 -- This file tests that copy operations leave uncanonical operands -- unchanged, and vice versa -- All operands and results are decQuads. extended: 1 clamp: 1 precision: 34 maxExponent: 6144 minExponent: -6143 rounding: half_even -- Uncanonical declets are: abc, where: -- a=1,2,3 -- b=6,7,e,f -- c=e,f -- assert some standard (canonical) values; this tests that FromString -- produces canonical results (many more in decimalNN) dqcan001 apply 9.999999999999999999999999999999999E+6144 -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan002 apply 0 -> #22080000000000000000000000000000 dqcan003 apply 1 -> #22080000000000000000000000000001 dqcan004 apply -1 -> #a2080000000000000000000000000001 dqcan005 apply Infinity -> #78000000000000000000000000000000 dqcan006 apply -Infinity -> #f8000000000000000000000000000000 dqcan007 apply -NaN -> #fc000000000000000000000000000000 dqcan008 apply -sNaN -> #fe000000000000000000000000000000 dqcan009 apply NaN999999999999999999999999999999999 -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan010 apply sNaN999999999999999999999999999999999 -> #7e000ff3fcff3fcff3fcff3fcff3fcff decan011 apply 9999999999999999999999999999999999 -> #6e080ff3fcff3fcff3fcff3fcff3fcff dqcan012 apply 7.50 -> #220780000000000000000000000003d0 dqcan013 apply 9.99 -> #220780000000000000000000000000ff -- Base tests for canonical encodings (individual operator -- propagation is tested later) -- Finites: declets in coefficient dqcan021 canonical #77ffcff3fcff3fcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan022 canonical #77fffff3fcff3fcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan023 canonical #77ffcffffcff3fcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan024 canonical #77ffcff3ffff3fcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan025 canonical #77ffcff3fcffffcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan026 canonical #77ffcff3fcff3ffff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan027 canonical #77ffcff3fcff3fcffffcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan028 canonical #77ffcff3fcff3fcff3ffff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan029 canonical #77ffcff3fcff3fcff3fcffffcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan030 canonical #77ffcff3fcff3fcff3fcff3ffff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan031 canonical #77ffcff3fcff3fcff3fcff3fcffffcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan032 canonical #77ffcff3fcff3fcff3fcff3fcff3ffff -> #77ffcff3fcff3fcff3fcff3fcff3fcff -- NaN: declets in payload dqcan061 canonical #7c000ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan062 canonical #7c000ffffcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan063 canonical #7c000ff3ffff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan064 canonical #7c000ff3fcffffcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan065 canonical #7c000ff3fcff3ffff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan066 canonical #7c000ff3fcff3fcffffcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan067 canonical #7c000ff3fcff3fcff3ffff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan068 canonical #7c000ff3fcff3fcff3fcffffcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan069 canonical #7c000ff3fcff3fcff3fcff3ffff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan070 canonical #7c000ff3fcff3fcff3fcff3fcffffcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan071 canonical #7c000ff3fcff3fcff3fcff3fcff3ffff -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] dqcan081 canonical #7d000ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan082 canonical #7c800ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan083 canonical #7c400ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan084 canonical #7c200ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan085 canonical #7c100ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan086 canonical #7c080ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan087 canonical #7c040ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan088 canonical #7c020ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan089 canonical #7c010ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan090 canonical #7c008ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan091 canonical #7c004ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- sNaN: declets in payload dqcan101 canonical #7e000ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan102 canonical #7e000ffffcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan103 canonical #7e000ff3ffff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan104 canonical #7e000ff3fcffffcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan105 canonical #7e000ff3fcff3ffff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan106 canonical #7e000ff3fcff3fcffffcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan107 canonical #7e000ff3fcff3fcff3ffff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan108 canonical #7e000ff3fcff3fcff3fcffffcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan109 canonical #7e000ff3fcff3fcff3fcff3ffff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan100 canonical #7e000ff3fcff3fcff3fcff3fcffffcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan111 canonical #7e000ff3fcff3fcff3fcff3fcff3ffff -> #7e000ff3fcff3fcff3fcff3fcff3fcff -- sNaN: exponent continuation bits [excluding sNaN selector] dqcan121 canonical #7f000ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan122 canonical #7e800ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan123 canonical #7e400ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan124 canonical #7e200ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan125 canonical #7e100ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan126 canonical #7e080ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan127 canonical #7e040ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan128 canonical #7e020ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan129 canonical #7e010ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan130 canonical #7e008ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff dqcan131 canonical #7e004ff3fcff3fcff3fcff3fcff3fcff -> #7e000ff3fcff3fcff3fcff3fcff3fcff -- Inf: exponent continuation bits dqcan137 canonical #78000000000000000000000000000000 -> #78000000000000000000000000000000 dqcan138 canonical #79000000000000000000000000000000 -> #78000000000000000000000000000000 dqcan139 canonical #7a000000000000000000000000000000 -> #78000000000000000000000000000000 dqcan140 canonical #78800000000000000000000000000000 -> #78000000000000000000000000000000 dqcan141 canonical #78400000000000000000000000000000 -> #78000000000000000000000000000000 dqcan142 canonical #78200000000000000000000000000000 -> #78000000000000000000000000000000 dqcan143 canonical #78100000000000000000000000000000 -> #78000000000000000000000000000000 dqcan144 canonical #78080000000000000000000000000000 -> #78000000000000000000000000000000 dqcan145 canonical #78040000000000000000000000000000 -> #78000000000000000000000000000000 dqcan146 canonical #78020000000000000000000000000000 -> #78000000000000000000000000000000 dqcan147 canonical #78010000000000000000000000000000 -> #78000000000000000000000000000000 dqcan148 canonical #78008000000000000000000000000000 -> #78000000000000000000000000000000 dqcan149 canonical #78004000000000000000000000000000 -> #78000000000000000000000000000000 -- Inf: coefficient continuation bits (first, last, and a few others) dqcan150 canonical #78000000000000000000000000000000 -> #78000000000000000000000000000000 dqcan151 canonical #78020000000000000000000000000000 -> #78000000000000000000000000000000 dqcan152 canonical #78000000000000000000000000000001 -> #78000000000000000000000000000000 dqcan153 canonical #78010000000000000000000000000000 -> #78000000000000000000000000000000 dqcan154 canonical #78002000000000000000000000000000 -> #78000000000000000000000000000000 dqcan155 canonical #78000800000000000000000000000000 -> #78000000000000000000000000000000 dqcan156 canonical #78000020000000000000000000000000 -> #78000000000000000000000000000000 dqcan157 canonical #78000004000000000000000000000000 -> #78000000000000000000000000000000 dqcan158 canonical #78000000400000000000000000000000 -> #78000000000000000000000000000000 dqcan159 canonical #78000000080000000000000000000000 -> #78000000000000000000000000000000 dqcan160 canonical #78000000004000000000000000000000 -> #78000000000000000000000000000000 dqcan161 canonical #78000000000200000000000000000000 -> #78000000000000000000000000000000 dqcan162 canonical #78000000000080000000000000000000 -> #78000000000000000000000000000000 dqcan163 canonical #78000000000002000000000000000000 -> #78000000000000000000000000000000 dqcan164 canonical #78000000000000400000000000000000 -> #78000000000000000000000000000000 dqcan165 canonical #78000000000000080000000000000000 -> #78000000000000000000000000000000 dqcan166 canonical #78000000000000001000000000000000 -> #78000000000000000000000000000000 dqcan167 canonical #78000000000000000200000000000000 -> #78000000000000000000000000000000 dqcan168 canonical #78000000000000000080000000000000 -> #78000000000000000000000000000000 dqcan169 canonical #78000000000000000004000000000000 -> #78000000000000000000000000000000 dqcan170 canonical #78000000000000000000400000000000 -> #78000000000000000000000000000000 dqcan171 canonical #78000000000000000000010000000000 -> #78000000000000000000000000000000 dqcan172 canonical #78000000000000000000002000000000 -> #78000000000000000000000000000000 dqcan173 canonical #78000000000000000000000400000000 -> #78000000000000000000000000000000 dqcan174 canonical #78000000000000000000000080000000 -> #78000000000000000000000000000000 dqcan175 canonical #78000000000000000000000002000000 -> #78000000000000000000000000000000 dqcan176 canonical #78000000000000000000000000400000 -> #78000000000000000000000000000000 dqcan177 canonical #78000000000000000000000000020000 -> #78000000000000000000000000000000 dqcan178 canonical #78000000000000000000000000001000 -> #78000000000000000000000000000000 dqcan179 canonical #78000000000000000000000000000400 -> #78000000000000000000000000000000 dqcan180 canonical #78000000000000000000000000000020 -> #78000000000000000000000000000000 dqcan181 canonical #78000000000000000000000000000008 -> #78000000000000000000000000000000 -- Now the operators -- trying to check paths that might fail to -- canonicalize propagated operands ----- Add: -- Finites: neutral 0 dqcan202 add 0E+6144 #77ffcff3fcff3fcffffcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff dqcan203 add #77ffcff3fcff3fcff3fcff3ffff3fcff 0E+6144 -> #77ffcff3fcff3fcff3fcff3fcff3fcff -- tiny zero dqcan204 add 0E-6176 #77ffcff3ffff3fcff3fcff3fcff3fcff -> #77ffcff3fcff3fcff3fcff3fcff3fcff Rounded dqcan205 add #77ffcff3fcff3fcff3fcff3fcff3ffff 0E-6176 -> #77ffcff3fcff3fcff3fcff3fcff3fcff Rounded -- tiny non zero dqcan206 add -1E-6176 #77ffcff3fcff3fcff3fcff3fcfffffff -> #77ffcff3fcff3fcff3fcff3fcff3fcff Inexact Rounded dqcan207 add #77ffcffffffffffffffffffffff3fcff -1E-6176 -> #77ffcff3fcff3fcff3fcff3fcff3fcff Inexact Rounded -- NaN: declets in payload dqcan211 add 0 #7c000ff3fcff3fcff3fcfffffff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan212 add #7c000ff3fcff3fcfffffff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] dqcan213 add 0 #7c400ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan214 add #7c020ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- sNaN: declets in payload dqcan215 add 0 #7e000ff3fcffffcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan216 add #7e003ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] dqcan217 add 0 #7e500ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan218 add #7e0e0ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation -- Inf: exponent continuation bits dqcan220 add 0 #78010000000000000000000000000000 -> #78000000000000000000000000000000 dqcan221 add #78680000000000000000000000000000 0 -> #78000000000000000000000000000000 -- Inf: coefficient continuation bits dqcan222 add 0 #78002000000000000000000000000000 -> #78000000000000000000000000000000 dqcan223 add #78000000000000000000000000000001 0 -> #78000000000000000000000000000000 dqcan224 add 0 #78000002000000000000000000000000 -> #78000000000000000000000000000000 dqcan225 add #780000000000f0000000000000000000 0 -> #78000000000000000000000000000000 dqcan226 add 0 #78000000000000000005000000000000 -> #78000000000000000000000000000000 dqcan227 add #780000000000000000000000000a0000 0 -> #78000000000000000000000000000000 ----- Class: [does not return encoded] ----- Compare: dqcan231 compare -Inf 1 -> #a2080000000000000000000000000001 dqcan232 compare -Inf -Inf -> #22080000000000000000000000000000 dqcan233 compare 1 -Inf -> #22080000000000000000000000000001 dqcan234 compare #7c010ff3fcff3fcff3fcff3ffffffcff -1000 -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan235 compare #7e004ff3fcff3fcff3ffffffcff3fcff -1000 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation ----- CompareSig: dqcan241 comparesig -Inf 1 -> #a2080000000000000000000000000001 dqcan242 comparesig -Inf -Inf -> #22080000000000000000000000000000 dqcan243 comparesig 1 -Inf -> #22080000000000000000000000000001 dqcan244 comparesig #7c400ff3ffff3fcff3fcff3fcff3fcff -1000 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan245 comparesig #7e050ff3fcfffffff3fcff3fcff3fcff -1000 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation ----- Copy: [does not usually canonicalize] -- finites dqcan250 copy #6e080ff3fcff3fcfffffff3fcfffffff -> #6e080ff3fcff3fcfffffff3fcfffffff dqcan251 copy #ee080ff3fcff3ffff3fcff3ffff3fcff -> #ee080ff3fcff3ffff3fcff3ffff3fcff -- NaNs dqcan252 copy #7c000ff3fcffffffffffffffcff3fcff -> #7c000ff3fcffffffffffffffcff3fcff dqcan253 copy #7c080ff3fcff3fcff3fcff3fcff3fcff -> #7c080ff3fcff3fcff3fcff3fcff3fcff -- sNaN dqcan254 copy #7e003ff3fcffffffffffffffcff3fcff -> #7e003ff3fcffffffffffffffcff3fcff dqcan255 copy #7e100ff3fcff3fcff3fcff3fcff3fcff -> #7e100ff3fcff3fcff3fcff3fcff3fcff -- Inf dqcan258 copy #78002000000000000000000000000000 -> #78002000000000000000000000000000 dqcan259 copy #78000000000010000000000000100000 -> #78000000000010000000000000100000 ----- CopyAbs: [does not usually canonicalize] -- finites dqcan260 copyabs #6e080ff3fcff3fcfffffff3fcfffffff -> #6e080ff3fcff3fcfffffff3fcfffffff dqcan261 copyabs #ee080ff3fcff3ffff3fcff3ffff3fcff -> #6e080ff3fcff3ffff3fcff3ffff3fcff -- NaNs dqcan262 copyabs #fc000ff3fcffffffffffffffcff3fcff -> #7c000ff3fcffffffffffffffcff3fcff dqcan263 copyabs #fc080ff3fcff3fcff3fcff3fcff3fcff -> #7c080ff3fcff3fcff3fcff3fcff3fcff -- sNaN dqcan264 copyabs #fe003ff3fcffffffffffffffcff3fcff -> #7e003ff3fcffffffffffffffcff3fcff dqcan265 copyabs #fe100ff3fcff3fcff3fcff3fcff3fcff -> #7e100ff3fcff3fcff3fcff3fcff3fcff -- Inf dqcan268 copyabs #f8002000000000000000000000000000 -> #78002000000000000000000000000000 dqcan269 copyabs #f8000000000000700700700000000000 -> #78000000000000700700700000000000 ----- CopyNegate: [does not usually canonicalize] -- finites dqcan270 copynegate #6e080ff3fcff3fcfffffff3fcfffffff -> #ee080ff3fcff3fcfffffff3fcfffffff dqcan271 copynegate #ee080ff3fcff3ffff3fcff3ffff3fcff -> #6e080ff3fcff3ffff3fcff3ffff3fcff -- NaNs dqcan272 copynegate #7c000ff3fcffffffffffff3fcff3fcff -> #fc000ff3fcffffffffffff3fcff3fcff dqcan273 copynegate #7c080ff3fcff3fcff3fcff3fcff3fcff -> #fc080ff3fcff3fcff3fcff3fcff3fcff -- sNaN dqcan274 copynegate #7e003ff3fcffffffffffffffcff3fcff -> #fe003ff3fcffffffffffffffcff3fcff dqcan275 copynegate #7e100ff3fcff3fcff3fcff3fcff3fcff -> #fe100ff3fcff3fcff3fcff3fcff3fcff -- Inf dqcan278 copynegate #78002000000000000000000000000000 -> #f8002000000000000000000000000000 dqcan279 copynegate #78000000000010000000000000100000 -> #f8000000000010000000000000100000 ----- CopySign: [does not usually canonicalize] -- finites dqcan280 copysign #6e080ff3fcff3fcfffffff3fcfffffff -1 -> #ee080ff3fcff3fcfffffff3fcfffffff dqcan281 copysign #ee080ff3fcff3ffff3fcff3ffff3fcff 1 -> #6e080ff3fcff3ffff3fcff3ffff3fcff -- NaNs dqcan282 copysign #7c000ff3fcffffffffffffffcff3fcff -1 -> #fc000ff3fcffffffffffffffcff3fcff dqcan283 copysign #7c080ff3fcff3fcff3fcff3fcff3fcff 1 -> #7c080ff3fcff3fcff3fcff3fcff3fcff -- sNaN dqcan284 copysign #7e003ff3fcffffffffffffffcff3fcff -1 -> #fe003ff3fcffffffffffffffcff3fcff dqcan285 copysign #7e100ff3fcff3fcff3fcff3fcff3fcff 1 -> #7e100ff3fcff3fcff3fcff3fcff3fcff -- Inf dqcan288 copysign #78002000000000000000000000000000 -1 -> #f8002000000000000000000000000000 dqcan289 copysign #78000000000010000000000000100000 1 -> #78000000000010000000000000100000 ----- Multiply: -- Finites: neutral 0 dqcan302 multiply 1 #77ffff3fcff3fcff0000000000000000 -> #77ffff3fcff3fcff0000000000000000 dqcan303 multiply #77fcffffcff3fcff0000000000000000 1 -> #77fccfffcff3fcff0000000000000000 -- negative dqcan306 multiply -1 #77ffff3fcff3fcff0000000000000000 -> #f7ffff3fcff3fcff0000000000000000 dqcan307 multiply #77fcffffcff3fcff0000000000000000 -1 -> #f7fccfffcff3fcff0000000000000000 -- NaN: declets in payload dqcan311 multiply 1 #7c03ff3fcff3fcff0000000000000000 -> #7c003f3fcff3fcff0000000000000000 dqcan312 multiply #7c03ff3fcff3fcff0000000000000000 1 -> #7c003f3fcff3fcff0000000000000000 -- NaN: exponent continuation bits [excluding sNaN selector] dqcan313 multiply 1 #7c40ff3fcff3fcff0000000000000000 -> #7c003f3fcff3fcff0000000000000000 dqcan314 multiply #7c40ff3fcff3fcff0000000000000000 1 -> #7c003f3fcff3fcff0000000000000000 -- sNaN: declets in payload dqcan315 multiply 1 #7e00ffffcff3fcff0000000000000000 -> #7c000fffcff3fcff0000000000000000 Invalid_operation dqcan316 multiply #7e00ffffcff3fcff0000000000000000 1 -> #7c000fffcff3fcff0000000000000000 Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] dqcan317 multiply 1 #7e80ff3fcff3fcff0000000000000000 -> #7c003f3fcff3fcff0000000000000000 Invalid_operation dqcan318 multiply #7e80ff3fcff3fcff0000000000000000 1 -> #7c003f3fcff3fcff0000000000000000 Invalid_operation -- Inf: exponent continuation bits dqcan320 multiply 1 #78800000000000000000000000000000 -> #78000000000000000000000000000000 dqcan321 multiply #78800000000000000000000000000000 1 -> #78000000000000000000000000000000 -- Inf: coefficient continuation bits dqcan322 multiply 1 #78020000000000000000000000000000 -> #78000000000000000000000000000000 dqcan323 multiply #78020000000000000000000000000000 1 -> #78000000000000000000000000000000 dqcan324 multiply 1 #78000000000000010000000000000000 -> #78000000000000000000000000000000 dqcan325 multiply #78000000000000010000000000000000 1 -> #78000000000000000000000000000000 dqcan326 multiply 1 #78000020000000000000000000000000 -> #78000000000000000000000000000000 dqcan327 multiply #78000020000000000000000000000000 1 -> #78000000000000000000000000000000 ----- Quantize: dqcan401 quantize #ee080ff3fcff3fcff3fffffffff3fcff 0 -> #ee080ff3fcff3fcff3fcff3fcff3fcff dqcan402 quantize #ee080ff3fffffffffffcff3fcff3fcff 0 -> #ee080ff3fcff3fcff3fcff3fcff3fcff dqcan403 quantize #78800000000000000000000000000000 Inf -> #78000000000000000000000000000000 dqcan404 quantize #78020000000000000000000000000000 -Inf -> #78000000000000000000000000000000 dqcan410 quantize #7c080ff3fcff3fcff3fcff3fcff3fcff 1 -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan411 quantize #fc000ff3fcfffffff3fcff3fcff3fcff 1 -> #fc000ff3fcff3fcff3fcff3fcff3fcff dqcan412 quantize #7e100ff3fcff3fcff3fcff3fcff3fcff 1 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan413 quantize #fe000ff3fcff3fcff3ffffffcff3fcff 1 -> #fc000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation ----- Subtract: -- Finites: neutral 0 dqcan502 subtract 0E+6144 #77ffcff3fcff3fcffffcff3fcff3fcff -> #f7ffcff3fcff3fcff3fcff3fcff3fcff dqcan503 subtract #77ffcff3fcff3fcff3fcff3ffff3fcff 0E+6144 -> #77ffcff3fcff3fcff3fcff3fcff3fcff -- tiny zero dqcan504 subtract 0E-6176 #77ffcff3ffff3fcff3fcff3fcff3fcff -> #f7ffcff3fcff3fcff3fcff3fcff3fcff Rounded dqcan505 subtract #77ffcff3fcff3fcff3fcff3fcff3ffff 0E-6176 -> #77ffcff3fcff3fcff3fcff3fcff3fcff Rounded -- tiny non zero dqcan506 subtract -1E-6176 #77ffcff3fcff3fcff3fcff3fcfffffff -> #f7ffcff3fcff3fcff3fcff3fcff3fcff Inexact Rounded dqcan507 subtract #77ffcffffffffffffffffffffff3fcff -1E-6176 -> #77ffcff3fcff3fcff3fcff3fcff3fcff Inexact Rounded -- NaN: declets in payload dqcan511 subtract 0 #7c000ff3fcff3fcff3fcfffffff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan512 subtract #7c000ff3fcff3fcfffffff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] dqcan513 subtract 0 #7c400ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan514 subtract #7c020ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff -- sNaN: declets in payload dqcan515 subtract 0 #7e000ff3fcffffcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan516 subtract #7e003ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] dqcan517 subtract 0 #7e500ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan518 subtract #7e0e0ff3fcff3fcff3fcff3fcff3fcff 0 -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation -- Inf: exponent continuation bits dqcan520 subtract 0 #78010000000000000000000000000000 -> #f8000000000000000000000000000000 dqcan521 subtract #78680000000000000000000000000000 0 -> #78000000000000000000000000000000 -- Inf: coefficient continuation bits dqcan522 subtract 0 #78002000000000000000000000000000 -> #f8000000000000000000000000000000 dqcan523 subtract #78000000000000000000000000000001 0 -> #78000000000000000000000000000000 dqcan524 subtract 0 #78000002000000000000000000000000 -> #f8000000000000000000000000000000 dqcan525 subtract #780000000000f0000000000000000000 0 -> #78000000000000000000000000000000 dqcan526 subtract 0 #78000000000000000005000000000000 -> #f8000000000000000000000000000000 dqcan527 subtract #780000000000000000000000000a0000 0 -> #78000000000000000000000000000000 ----- ToIntegral: dqcan601 tointegralx #6e080ff3fdff3fcff3fcff3fcff3fcff -> #6e080ff3fcff3fcff3fcff3fcff3fcff dqcan602 tointegralx #ee080ff3fcff3ffff3fcff3fcff3fcff -> #ee080ff3fcff3fcff3fcff3fcff3fcff dqcan603 tointegralx #78800000000000000000000000000000 -> #78000000000000000000000000000000 dqcan604 tointegralx #78020000000000000000000000000000 -> #78000000000000000000000000000000 dqcan614 tointegralx #7c100ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff dqcan615 tointegralx #fc000ff3fcff3fcff3fcffffcff3fcff -> #fc000ff3fcff3fcff3fcff3fcff3fcff dqcan616 tointegralx #7e010ff3fcff3fcff3fcff3fcff3fcff -> #7c000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation dqcan617 tointegralx #fe000ff3fcff3fcff3fdff3fcff3fcff -> #fc000ff3fcff3fcff3fcff3fcff3fcff Invalid_operation -- uncanonical 3999, 39.99, 3.99, 0.399, and negatives dqcan618 tointegralx #22080000000000000000000000000fff -> #22080000000000000000000000000cff dqcan619 tointegralx #22078000000000000000000000000fff -> #22080000000000000000000000000040 Inexact Rounded dqcan620 tointegralx #22074000000000000000000000000fff -> #22080000000000000000000000000004 Inexact Rounded dqcan621 tointegralx #22070000000000000000000000000fff -> #22080000000000000000000000000000 Inexact Rounded dqcan622 tointegralx #a2080000000000000000000000000fff -> #a2080000000000000000000000000cff dqcan623 tointegralx #a2078000000000000000000000000fff -> #a2080000000000000000000000000040 Inexact Rounded dqcan624 tointegralx #a2074000000000000000000000000fff -> #a2080000000000000000000000000004 Inexact Rounded dqcan625 tointegralx #a2070000000000000000000000000fff -> #a2080000000000000000000000000000 Inexact Rounded