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✏️ ddCanonical.decTest
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------------------------------------------------------------------------ -- ddCanonical.decTest -- test decDouble canonical results -- -- Copyright (c) IBM Corporation, 1981, 2008. 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: 2.59 -- This file tests that copy operations leave uncanonical operands -- unchanged, and vice versa -- All operands and results are decDoubles. precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 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) ddcan001 apply 9.999999999999999E+384 -> #77fcff3fcff3fcff ddcan002 apply 0 -> #2238000000000000 ddcan003 apply 1 -> #2238000000000001 ddcan004 apply -1 -> #a238000000000001 ddcan005 apply Infinity -> #7800000000000000 ddcan006 apply -Infinity -> #f800000000000000 ddcan007 apply -NaN -> #fc00000000000000 ddcan008 apply -sNaN -> #fe00000000000000 ddcan009 apply NaN999999999999999 -> #7c00ff3fcff3fcff ddcan010 apply sNaN999999999999999 -> #7e00ff3fcff3fcff decan011 apply 9999999999999999 -> #6e38ff3fcff3fcff ddcan012 apply 7.50 -> #22300000000003d0 ddcan013 apply 9.99 -> #22300000000000ff -- Base tests for canonical encodings (individual operator -- propagation is tested later) -- Finites: declets in coefficient ddcan021 canonical #77fcff3fcff3fcff -> #77fcff3fcff3fcff ddcan022 canonical #77fcff3fcff3fcff -> #77fcff3fcff3fcff ddcan023 canonical #77ffff3fcff3fcff -> #77fcff3fcff3fcff ddcan024 canonical #77ffff3fcff3fcff -> #77fcff3fcff3fcff ddcan025 canonical #77fcffffcff3fcff -> #77fcff3fcff3fcff ddcan026 canonical #77fcffffcff3fcff -> #77fcff3fcff3fcff ddcan027 canonical #77fcff3ffff3fcff -> #77fcff3fcff3fcff ddcan028 canonical #77fcff3ffff3fcff -> #77fcff3fcff3fcff ddcan030 canonical #77fcff3fcffffcff -> #77fcff3fcff3fcff ddcan031 canonical #77fcff3fcffffcff -> #77fcff3fcff3fcff ddcan032 canonical #77fcff3fcff3ffff -> #77fcff3fcff3fcff ddcan033 canonical #77fcff3fcff3ffff -> #77fcff3fcff3fcff ddcan035 canonical #77fcff3fdff3fcff -> #77fcff3fcff3fcff ddcan036 canonical #77fcff3feff3fcff -> #77fcff3fcff3fcff -- NaN: declets in payload ddcan100 canonical NaN999999999999999 -> #7c00ff3fcff3fcff ddcan101 canonical #7c00ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan102 canonical #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan103 canonical #7c00ffffcff3fcff -> #7c00ff3fcff3fcff ddcan104 canonical #7c00ff3ffff3fcff -> #7c00ff3fcff3fcff ddcan105 canonical #7c00ff3fcffffcff -> #7c00ff3fcff3fcff ddcan106 canonical #7c00ff3fcff3ffff -> #7c00ff3fcff3fcff ddcan107 canonical #7c00ff3fcff3ffff -> #7c00ff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] ddcan110 canonical #7c00ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan112 canonical #7d00ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan113 canonical #7c80ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan114 canonical #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan115 canonical #7c20ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan116 canonical #7c10ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan117 canonical #7c08ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan118 canonical #7c04ff3fcff3fcff -> #7c00ff3fcff3fcff -- sNaN: declets in payload ddcan120 canonical sNaN999999999999999 -> #7e00ff3fcff3fcff ddcan121 canonical #7e00ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan122 canonical #7e03ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan123 canonical #7e00ffffcff3fcff -> #7e00ff3fcff3fcff ddcan124 canonical #7e00ff3ffff3fcff -> #7e00ff3fcff3fcff ddcan125 canonical #7e00ff3fcffffcff -> #7e00ff3fcff3fcff ddcan126 canonical #7e00ff3fcff3ffff -> #7e00ff3fcff3fcff ddcan127 canonical #7e00ff3fcff3ffff -> #7e00ff3fcff3fcff -- sNaN: exponent continuation bits [excluding sNaN selector] ddcan130 canonical #7e00ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan132 canonical #7f00ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan133 canonical #7e80ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan134 canonical #7e40ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan135 canonical #7e20ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan136 canonical #7e10ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan137 canonical #7e08ff3fcff3fcff -> #7e00ff3fcff3fcff ddcan138 canonical #7e04ff3fcff3fcff -> #7e00ff3fcff3fcff -- Inf: exponent continuation bits ddcan140 canonical #7800000000000000 -> #7800000000000000 ddcan141 canonical #7900000000000000 -> #7800000000000000 ddcan142 canonical #7a00000000000000 -> #7800000000000000 ddcan143 canonical #7880000000000000 -> #7800000000000000 ddcan144 canonical #7840000000000000 -> #7800000000000000 ddcan145 canonical #7820000000000000 -> #7800000000000000 ddcan146 canonical #7810000000000000 -> #7800000000000000 ddcan147 canonical #7808000000000000 -> #7800000000000000 ddcan148 canonical #7804000000000000 -> #7800000000000000 -- Inf: coefficient continuation bits (first, last, and a few others) ddcan150 canonical #7800000000000000 -> #7800000000000000 ddcan151 canonical #7802000000000000 -> #7800000000000000 ddcan152 canonical #7800000000000001 -> #7800000000000000 ddcan153 canonical #7801000000000000 -> #7800000000000000 ddcan154 canonical #7800200000000000 -> #7800000000000000 ddcan155 canonical #7800080000000000 -> #7800000000000000 ddcan156 canonical #7800002000000000 -> #7800000000000000 ddcan157 canonical #7800000400000000 -> #7800000000000000 ddcan158 canonical #7800000040000000 -> #7800000000000000 ddcan159 canonical #7800000008000000 -> #7800000000000000 ddcan160 canonical #7800000000400000 -> #7800000000000000 ddcan161 canonical #7800000000020000 -> #7800000000000000 ddcan162 canonical #7800000000008000 -> #7800000000000000 ddcan163 canonical #7800000000000200 -> #7800000000000000 ddcan164 canonical #7800000000000040 -> #7800000000000000 ddcan165 canonical #7800000000000008 -> #7800000000000000 -- Now the operators -- trying to check paths that might fail to -- canonicalize propagated operands ----- Add: -- Finites: neutral 0 ddcan202 add 0E+384 #77ffff3fcff3fcff -> #77fcff3fcff3fcff ddcan203 add #77fcffffcff3fcff 0E+384 -> #77fcff3fcff3fcff -- tiny zero ddcan204 add 0E-398 #77ffff3fcff3fcff -> #77fcff3fcff3fcff Rounded ddcan205 add #77fcffffcff3fcff 0E-398 -> #77fcff3fcff3fcff Rounded -- tiny non zero ddcan206 add -1E-398 #77ffff3fcff3fcff -> #77fcff3fcff3fcff Inexact Rounded ddcan207 add #77ffff3fcff3fcff -1E-398 -> #77fcff3fcff3fcff Inexact Rounded -- NaN: declets in payload ddcan211 add 0 #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan212 add #7c03ff3fcff3fcff 0 -> #7c00ff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] ddcan213 add 0 #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan214 add #7c40ff3fcff3fcff 0 -> #7c00ff3fcff3fcff -- sNaN: declets in payload ddcan215 add 0 #7e00ffffcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan216 add #7e00ffffcff3fcff 0 -> #7c00ff3fcff3fcff Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] ddcan217 add 0 #7e80ff3fcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan218 add #7e80ff3fcff3fcff 0 -> #7c00ff3fcff3fcff Invalid_operation -- Inf: exponent continuation bits ddcan220 add 0 #7880000000000000 -> #7800000000000000 ddcan221 add #7880000000000000 0 -> #7800000000000000 -- Inf: coefficient continuation bits ddcan222 add 0 #7802000000000000 -> #7800000000000000 ddcan223 add #7802000000000000 0 -> #7800000000000000 ddcan224 add 0 #7800000000000001 -> #7800000000000000 ddcan225 add #7800000000000001 0 -> #7800000000000000 ddcan226 add 0 #7800002000000000 -> #7800000000000000 ddcan227 add #7800002000000000 0 -> #7800000000000000 ----- Class: [does not return encoded] ----- Compare: ddcan231 compare -Inf 1 -> #a238000000000001 ddcan232 compare -Inf -Inf -> #2238000000000000 ddcan233 compare 1 -Inf -> #2238000000000001 ddcan234 compare #7c00ff3ffff3fcff -1000 -> #7c00ff3fcff3fcff ddcan235 compare #7e00ff3ffff3fcff -1000 -> #7c00ff3fcff3fcff Invalid_operation ----- CompareSig: ddcan241 comparesig -Inf 1 -> #a238000000000001 ddcan242 comparesig -Inf -Inf -> #2238000000000000 ddcan243 comparesig 1 -Inf -> #2238000000000001 ddcan244 comparesig #7c00ff3ffff3fcff -1000 -> #7c00ff3fcff3fcff Invalid_operation ddcan245 comparesig #7e00ff3ffff3fcff -1000 -> #7c00ff3fcff3fcff Invalid_operation ----- Copy: [does not usually canonicalize] -- finites ddcan250 copy #77ffff3fcff3fcff -> #77ffff3fcff3fcff ddcan251 copy #77fcff3fdff3fcff -> #77fcff3fdff3fcff -- NaNs ddcan252 copy #7c03ff3fcff3fcff -> #7c03ff3fcff3fcff ddcan253 copy #7c00ff3fcff3ffff -> #7c00ff3fcff3ffff ddcan254 copy #7d00ff3fcff3fcff -> #7d00ff3fcff3fcff ddcan255 copy #7c04ff3fcff3fcff -> #7c04ff3fcff3fcff -- sNaN ddcan256 copy #7e00ff3fcffffcff -> #7e00ff3fcffffcff ddcan257 copy #7e40ff3fcff3fcff -> #7e40ff3fcff3fcff -- Inf ddcan258 copy #7a00000000000000 -> #7a00000000000000 ddcan259 copy #7800200000000000 -> #7800200000000000 ----- CopyAbs: [does not usually canonicalize] -- finites ddcan260 copyabs #f7ffff3fcff3fcff -> #77ffff3fcff3fcff ddcan261 copyabs #f7fcff3fdff3fcff -> #77fcff3fdff3fcff -- NaNs ddcan262 copyabs #fc03ff3fcff3fcff -> #7c03ff3fcff3fcff ddcan263 copyabs #fc00ff3fcff3ffff -> #7c00ff3fcff3ffff ddcan264 copyabs #fd00ff3fcff3fcff -> #7d00ff3fcff3fcff ddcan265 copyabs #fc04ff3fcff3fcff -> #7c04ff3fcff3fcff -- sNaN ddcan266 copyabs #fe00ff3fcffffcff -> #7e00ff3fcffffcff ddcan267 copyabs #fe40ff3fcff3fcff -> #7e40ff3fcff3fcff -- Inf ddcan268 copyabs #fa00000000000000 -> #7a00000000000000 ddcan269 copyabs #f800200000000000 -> #7800200000000000 ----- CopyNegate: [does not usually canonicalize] -- finites ddcan270 copynegate #77ffff3fcff3fcff -> #f7ffff3fcff3fcff ddcan271 copynegate #77fcff3fdff3fcff -> #f7fcff3fdff3fcff -- NaNs ddcan272 copynegate #7c03ff3fcff3fcff -> #fc03ff3fcff3fcff ddcan273 copynegate #7c00ff3fcff3ffff -> #fc00ff3fcff3ffff ddcan274 copynegate #7d00ff3fcff3fcff -> #fd00ff3fcff3fcff ddcan275 copynegate #7c04ff3fcff3fcff -> #fc04ff3fcff3fcff -- sNaN ddcan276 copynegate #7e00ff3fcffffcff -> #fe00ff3fcffffcff ddcan277 copynegate #7e40ff3fcff3fcff -> #fe40ff3fcff3fcff -- Inf ddcan278 copynegate #7a00000000000000 -> #fa00000000000000 ddcan279 copynegate #7800200000000000 -> #f800200000000000 ----- CopySign: [does not usually canonicalize] -- finites ddcan280 copysign #77ffff3fcff3fcff -1 -> #f7ffff3fcff3fcff ddcan281 copysign #77fcff3fdff3fcff 1 -> #77fcff3fdff3fcff -- NaNs ddcan282 copysign #7c03ff3fcff3fcff -1 -> #fc03ff3fcff3fcff ddcan283 copysign #7c00ff3fcff3ffff 1 -> #7c00ff3fcff3ffff ddcan284 copysign #7d00ff3fcff3fcff -1 -> #fd00ff3fcff3fcff ddcan285 copysign #7c04ff3fcff3fcff 1 -> #7c04ff3fcff3fcff -- sNaN ddcan286 copysign #7e00ff3fcffffcff -1 -> #fe00ff3fcffffcff ddcan287 copysign #7e40ff3fcff3fcff 1 -> #7e40ff3fcff3fcff -- Inf ddcan288 copysign #7a00000000000000 -1 -> #fa00000000000000 ddcan289 copysign #7800200000000000 1 -> #7800200000000000 ----- Multiply: -- Finites: neutral 0 ddcan302 multiply 1 #77ffff3fcff3fcff -> #77fcff3fcff3fcff ddcan303 multiply #77fcffffcff3fcff 1 -> #77fcff3fcff3fcff -- negative ddcan306 multiply -1 #77ffff3fcff3fcff -> #f7fcff3fcff3fcff ddcan307 multiply #77fcffffcff3fcff -1 -> #f7fcff3fcff3fcff -- NaN: declets in payload ddcan311 multiply 1 #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan312 multiply #7c03ff3fcff3fcff 1 -> #7c00ff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] ddcan313 multiply 1 #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan314 multiply #7c40ff3fcff3fcff 1 -> #7c00ff3fcff3fcff -- sNaN: declets in payload ddcan315 multiply 1 #7e00ffffcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan316 multiply #7e00ffffcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] ddcan317 multiply 1 #7e80ff3fcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan318 multiply #7e80ff3fcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation -- Inf: exponent continuation bits ddcan320 multiply 1 #7880000000000000 -> #7800000000000000 ddcan321 multiply #7880000000000000 1 -> #7800000000000000 -- Inf: coefficient continuation bits ddcan322 multiply 1 #7802000000000000 -> #7800000000000000 ddcan323 multiply #7802000000000000 1 -> #7800000000000000 ddcan324 multiply 1 #7800000000000001 -> #7800000000000000 ddcan325 multiply #7800000000000001 1 -> #7800000000000000 ddcan326 multiply 1 #7800002000000000 -> #7800000000000000 ddcan327 multiply #7800002000000000 1 -> #7800000000000000 ----- Quantize: ddcan401 quantize #6e38ff3ffff3fcff 1 -> #6e38ff3fcff3fcff ddcan402 quantize #6e38ff3fcff3fdff 0 -> #6e38ff3fcff3fcff ddcan403 quantize #7880000000000000 Inf -> #7800000000000000 ddcan404 quantize #7802000000000000 -Inf -> #7800000000000000 ddcan410 quantize #7c03ff3fcff3fcff 1 -> #7c00ff3fcff3fcff ddcan411 quantize #7c03ff3fcff3fcff 1 -> #7c00ff3fcff3fcff ddcan412 quantize #7c40ff3fcff3fcff 1 -> #7c00ff3fcff3fcff ddcan413 quantize #7c40ff3fcff3fcff 1 -> #7c00ff3fcff3fcff ddcan414 quantize #7e00ffffcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation ddcan415 quantize #7e00ffffcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation ddcan416 quantize #7e80ff3fcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation ddcan417 quantize #7e80ff3fcff3fcff 1 -> #7c00ff3fcff3fcff Invalid_operation ----- Subtract: -- Finites: neutral 0 ddcan502 subtract 0E+384 #77ffff3fcff3fcff -> #f7fcff3fcff3fcff ddcan503 subtract #77fcffffcff3fcff 0E+384 -> #77fcff3fcff3fcff -- tiny zero ddcan504 subtract 0E-398 #77ffff3fcff3fcff -> #f7fcff3fcff3fcff Rounded ddcan505 subtract #77fcffffcff3fcff 0E-398 -> #77fcff3fcff3fcff Rounded -- tiny non zero ddcan506 subtract -1E-398 #77ffff3fcff3fcff -> #f7fcff3fcff3fcff Inexact Rounded ddcan507 subtract #77ffff3fcff3fcff -1E-398 -> #77fcff3fcff3fcff Inexact Rounded -- NaN: declets in payload ddcan511 subtract 0 #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan512 subtract #7c03ff3fcff3fcff 0 -> #7c00ff3fcff3fcff -- NaN: exponent continuation bits [excluding sNaN selector] ddcan513 subtract 0 #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan514 subtract #7c40ff3fcff3fcff 0 -> #7c00ff3fcff3fcff -- sNaN: declets in payload ddcan515 subtract 0 #7e00ffffcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan516 subtract #7e00ffffcff3fcff 0 -> #7c00ff3fcff3fcff Invalid_operation -- sNaN: exponent continuation bits [excluding sNaN selector] ddcan517 subtract 0 #7e80ff3fcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan518 subtract #7e80ff3fcff3fcff 0 -> #7c00ff3fcff3fcff Invalid_operation -- Inf: exponent continuation bits ddcan520 subtract 0 #7880000000000000 -> #f800000000000000 ddcan521 subtract #7880000000000000 0 -> #7800000000000000 -- Inf: coefficient continuation bits ddcan522 subtract 0 #7802000000000000 -> #f800000000000000 ddcan523 subtract #7802000000000000 0 -> #7800000000000000 ddcan524 subtract 0 #7800000000000001 -> #f800000000000000 ddcan525 subtract #7800000000000001 0 -> #7800000000000000 ddcan526 subtract 0 #7800002000000000 -> #f800000000000000 ddcan527 subtract #7800002000000000 0 -> #7800000000000000 ----- ToIntegral: ddcan601 tointegralx #6e38ff3ffff3fcff -> #6e38ff3fcff3fcff ddcan602 tointegralx #6e38ff3fcff3fdff -> #6e38ff3fcff3fcff ddcan603 tointegralx #7880000000000000 -> #7800000000000000 ddcan604 tointegralx #7802000000000000 -> #7800000000000000 ddcan610 tointegralx #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan611 tointegralx #7c03ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan612 tointegralx #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan613 tointegralx #7c40ff3fcff3fcff -> #7c00ff3fcff3fcff ddcan614 tointegralx #7e00ffffcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan615 tointegralx #7e00ffffcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan616 tointegralx #7e80ff3fcff3fcff -> #7c00ff3fcff3fcff Invalid_operation ddcan617 tointegralx #7e80ff3fcff3fcff -> #7c00ff3fcff3fcff Invalid_operation -- uncanonical 3999, 39.99, 3.99, 0.399, and negatives ddcan618 tointegralx #2238000000000fff -> #2238000000000cff ddcan619 tointegralx #2230000000000fff -> #2238000000000040 Inexact Rounded ddcan620 tointegralx #222c000000000fff -> #2238000000000004 Inexact Rounded ddcan621 tointegralx #2228000000000fff -> #2238000000000000 Inexact Rounded ddcan622 tointegralx #a238000000000fff -> #a238000000000cff ddcan623 tointegralx #a230000000000fff -> #a238000000000040 Inexact Rounded ddcan624 tointegralx #a22c000000000fff -> #a238000000000004 Inexact Rounded ddcan625 tointegralx #a228000000000fff -> #a238000000000000 Inexact Rounded
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