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------------------------------------------------------------------------
-- ddCanonical.decTest -- test decDouble 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 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