Merged the decimal-branch (revisions 54886 to 58140). Decimal is now
fully updated to the latests Decimal Specification (v1.66) and the
latests test cases (v2.56).
Thanks to Mark Dickinson for all his help during this process.
diff --git a/Lib/test/decimaltestdata/ddRemainderNear.decTest b/Lib/test/decimaltestdata/ddRemainderNear.decTest
new file mode 100644
index 0000000..1f3bafd
--- /dev/null
+++ b/Lib/test/decimaltestdata/ddRemainderNear.decTest
@@ -0,0 +1,615 @@
+------------------------------------------------------------------------
+-- ddRemainderNear.decTest -- decDouble remainder-near --
+-- 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: 2.56
+
+precision: 16
+maxExponent: 384
+minExponent: -383
+extended: 1
+clamp: 1
+rounding: half_even
+
+-- sanity checks (as base, above)
+ddrmn001 remaindernear 1 1 -> 0
+ddrmn002 remaindernear 2 1 -> 0
+ddrmn003 remaindernear 1 2 -> 1
+ddrmn004 remaindernear 2 2 -> 0
+ddrmn005 remaindernear 0 1 -> 0
+ddrmn006 remaindernear 0 2 -> 0
+ddrmn007 remaindernear 1 3 -> 1
+ddrmn008 remaindernear 2 3 -> -1
+ddrmn009 remaindernear 3 3 -> 0
+
+ddrmn010 remaindernear 2.4 1 -> 0.4
+ddrmn011 remaindernear 2.4 -1 -> 0.4
+ddrmn012 remaindernear -2.4 1 -> -0.4
+ddrmn013 remaindernear -2.4 -1 -> -0.4
+ddrmn014 remaindernear 2.40 1 -> 0.40
+ddrmn015 remaindernear 2.400 1 -> 0.400
+ddrmn016 remaindernear 2.4 2 -> 0.4
+ddrmn017 remaindernear 2.400 2 -> 0.400
+ddrmn018 remaindernear 2. 2 -> 0
+ddrmn019 remaindernear 20 20 -> 0
+
+ddrmn020 remaindernear 187 187 -> 0
+ddrmn021 remaindernear 5 2 -> 1
+ddrmn022 remaindernear 5 2.0 -> 1.0
+ddrmn023 remaindernear 5 2.000 -> 1.000
+ddrmn024 remaindernear 5 0.200 -> 0.000
+ddrmn025 remaindernear 5 0.200 -> 0.000
+
+ddrmn030 remaindernear 1 2 -> 1
+ddrmn031 remaindernear 1 4 -> 1
+ddrmn032 remaindernear 1 8 -> 1
+
+ddrmn033 remaindernear 1 16 -> 1
+ddrmn034 remaindernear 1 32 -> 1
+ddrmn035 remaindernear 1 64 -> 1
+ddrmn040 remaindernear 1 -2 -> 1
+ddrmn041 remaindernear 1 -4 -> 1
+ddrmn042 remaindernear 1 -8 -> 1
+ddrmn043 remaindernear 1 -16 -> 1
+ddrmn044 remaindernear 1 -32 -> 1
+ddrmn045 remaindernear 1 -64 -> 1
+ddrmn050 remaindernear -1 2 -> -1
+ddrmn051 remaindernear -1 4 -> -1
+ddrmn052 remaindernear -1 8 -> -1
+ddrmn053 remaindernear -1 16 -> -1
+ddrmn054 remaindernear -1 32 -> -1
+ddrmn055 remaindernear -1 64 -> -1
+ddrmn060 remaindernear -1 -2 -> -1
+ddrmn061 remaindernear -1 -4 -> -1
+ddrmn062 remaindernear -1 -8 -> -1
+ddrmn063 remaindernear -1 -16 -> -1
+ddrmn064 remaindernear -1 -32 -> -1
+ddrmn065 remaindernear -1 -64 -> -1
+
+ddrmn066 remaindernear 9.9 1 -> -0.1
+ddrmn067 remaindernear 99.7 1 -> -0.3
+ddrmn068 remaindernear 999999999 1 -> 0
+ddrmn069 remaindernear 999999999.4 1 -> 0.4
+ddrmn070 remaindernear 999999999.5 1 -> -0.5
+ddrmn071 remaindernear 999999999.9 1 -> -0.1
+ddrmn072 remaindernear 999999999.999 1 -> -0.001
+ddrmn073 remaindernear 999999.999999 1 -> -0.000001
+ddrmn074 remaindernear 9 1 -> 0
+ddrmn075 remaindernear 9999999999999999 1 -> 0
+ddrmn076 remaindernear 9999999999999999 2 -> -1
+ddrmn077 remaindernear 9999999999999999 3 -> 0
+ddrmn078 remaindernear 9999999999999999 4 -> -1
+
+ddrmn080 remaindernear 0. 1 -> 0
+ddrmn081 remaindernear .0 1 -> 0.0
+ddrmn082 remaindernear 0.00 1 -> 0.00
+ddrmn083 remaindernear 0.00E+9 1 -> 0
+ddrmn084 remaindernear 0.00E+3 1 -> 0
+ddrmn085 remaindernear 0.00E+2 1 -> 0
+ddrmn086 remaindernear 0.00E+1 1 -> 0.0
+ddrmn087 remaindernear 0.00E+0 1 -> 0.00
+ddrmn088 remaindernear 0.00E-0 1 -> 0.00
+ddrmn089 remaindernear 0.00E-1 1 -> 0.000
+ddrmn090 remaindernear 0.00E-2 1 -> 0.0000
+ddrmn091 remaindernear 0.00E-3 1 -> 0.00000
+ddrmn092 remaindernear 0.00E-4 1 -> 0.000000
+ddrmn093 remaindernear 0.00E-5 1 -> 0E-7
+ddrmn094 remaindernear 0.00E-6 1 -> 0E-8
+ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54
+
+-- Various flavours of remaindernear by 0
+ddrmn101 remaindernear 0 0 -> NaN Division_undefined
+ddrmn102 remaindernear 0 -0 -> NaN Division_undefined
+ddrmn103 remaindernear -0 0 -> NaN Division_undefined
+ddrmn104 remaindernear -0 -0 -> NaN Division_undefined
+ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined
+ddrmn106 remaindernear 0.000 0 -> NaN Division_undefined
+-- [Some think this next group should be Division_by_zero exception, but
+-- IEEE 854 is explicit that it is Invalid operation .. for
+-- remainder-near, anyway]
+ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation
+ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation
+ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation
+ddrmn110 remaindernear 1 0 -> NaN Invalid_operation
+ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation
+ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation
+ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
+ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation
+ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation
+ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation
+ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation
+ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation
+ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation
+ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation
+ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
+ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation
+-- and zeros on left
+ddrmn130 remaindernear 0 1 -> 0
+ddrmn131 remaindernear 0 -1 -> 0
+ddrmn132 remaindernear 0.0 1 -> 0.0
+ddrmn133 remaindernear 0.0 -1 -> 0.0
+ddrmn134 remaindernear -0 1 -> -0
+ddrmn135 remaindernear -0 -1 -> -0
+ddrmn136 remaindernear -0.0 1 -> -0.0
+ddrmn137 remaindernear -0.0 -1 -> -0.0
+
+-- 0.5ers
+ddrmn143 remaindernear 0.5 2 -> 0.5
+ddrmn144 remaindernear 0.5 2.1 -> 0.5
+ddrmn145 remaindernear 0.5 2.01 -> 0.50
+ddrmn146 remaindernear 0.5 2.001 -> 0.500
+ddrmn147 remaindernear 0.50 2 -> 0.50
+ddrmn148 remaindernear 0.50 2.01 -> 0.50
+ddrmn149 remaindernear 0.50 2.001 -> 0.500
+
+-- steadies
+ddrmn150 remaindernear 1 1 -> 0
+ddrmn151 remaindernear 1 2 -> 1
+ddrmn152 remaindernear 1 3 -> 1
+ddrmn153 remaindernear 1 4 -> 1
+ddrmn154 remaindernear 1 5 -> 1
+ddrmn155 remaindernear 1 6 -> 1
+ddrmn156 remaindernear 1 7 -> 1
+ddrmn157 remaindernear 1 8 -> 1
+ddrmn158 remaindernear 1 9 -> 1
+ddrmn159 remaindernear 1 10 -> 1
+ddrmn160 remaindernear 1 1 -> 0
+ddrmn161 remaindernear 2 1 -> 0
+ddrmn162 remaindernear 3 1 -> 0
+ddrmn163 remaindernear 4 1 -> 0
+ddrmn164 remaindernear 5 1 -> 0
+ddrmn165 remaindernear 6 1 -> 0
+ddrmn166 remaindernear 7 1 -> 0
+ddrmn167 remaindernear 8 1 -> 0
+ddrmn168 remaindernear 9 1 -> 0
+ddrmn169 remaindernear 10 1 -> 0
+
+-- some differences from remainder
+ddrmn171 remaindernear 0.4 1.020 -> 0.400
+ddrmn172 remaindernear 0.50 1.020 -> 0.500
+ddrmn173 remaindernear 0.51 1.020 -> 0.510
+ddrmn174 remaindernear 0.52 1.020 -> -0.500
+ddrmn175 remaindernear 0.6 1.020 -> -0.420
+
+-- More flavours of remaindernear by 0
+ddrmn201 remaindernear 0 0 -> NaN Division_undefined
+ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined
+ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined
+ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation
+ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation
+ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation
+ddrmn207 remaindernear 1 0 -> NaN Invalid_operation
+ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation
+ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation
+ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
+ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation
+
+-- tests from the extended specification
+ddrmn221 remaindernear 2.1 3 -> -0.9
+ddrmn222 remaindernear 10 6 -> -2
+ddrmn223 remaindernear 10 3 -> 1
+ddrmn224 remaindernear -10 3 -> -1
+ddrmn225 remaindernear 10.2 1 -> 0.2
+ddrmn226 remaindernear 10 0.3 -> 0.1
+ddrmn227 remaindernear 3.6 1.3 -> -0.3
+
+-- some differences from remainder
+ddrmn231 remaindernear -0.4 1.020 -> -0.400
+ddrmn232 remaindernear -0.50 1.020 -> -0.500
+ddrmn233 remaindernear -0.51 1.020 -> -0.510
+ddrmn234 remaindernear -0.52 1.020 -> 0.500
+ddrmn235 remaindernear -0.6 1.020 -> 0.420
+
+-- high Xs
+ddrmn240 remaindernear 1E+2 1.00 -> 0.00
+
+-- ddrmn3xx are from DiagBigDecimal
+ddrmn301 remaindernear 1 3 -> 1
+ddrmn302 remaindernear 5 5 -> 0
+ddrmn303 remaindernear 13 10 -> 3
+ddrmn304 remaindernear 13 50 -> 13
+ddrmn305 remaindernear 13 100 -> 13
+ddrmn306 remaindernear 13 1000 -> 13
+ddrmn307 remaindernear .13 1 -> 0.13
+ddrmn308 remaindernear 0.133 1 -> 0.133
+ddrmn309 remaindernear 0.1033 1 -> 0.1033
+ddrmn310 remaindernear 1.033 1 -> 0.033
+ddrmn311 remaindernear 10.33 1 -> 0.33
+ddrmn312 remaindernear 10.33 10 -> 0.33
+ddrmn313 remaindernear 103.3 1 -> 0.3
+ddrmn314 remaindernear 133 10 -> 3
+ddrmn315 remaindernear 1033 10 -> 3
+ddrmn316 remaindernear 1033 50 -> -17
+ddrmn317 remaindernear 101.0 3 -> -1.0
+ddrmn318 remaindernear 102.0 3 -> 0.0
+ddrmn319 remaindernear 103.0 3 -> 1.0
+ddrmn320 remaindernear 2.40 1 -> 0.40
+ddrmn321 remaindernear 2.400 1 -> 0.400
+ddrmn322 remaindernear 2.4 1 -> 0.4
+ddrmn323 remaindernear 2.4 2 -> 0.4
+ddrmn324 remaindernear 2.400 2 -> 0.400
+ddrmn325 remaindernear 1 0.3 -> 0.1
+ddrmn326 remaindernear 1 0.30 -> 0.10
+ddrmn327 remaindernear 1 0.300 -> 0.100
+ddrmn328 remaindernear 1 0.3000 -> 0.1000
+ddrmn329 remaindernear 1.0 0.3 -> 0.1
+ddrmn330 remaindernear 1.00 0.3 -> 0.10
+ddrmn331 remaindernear 1.000 0.3 -> 0.100
+ddrmn332 remaindernear 1.0000 0.3 -> 0.1000
+ddrmn333 remaindernear 0.5 2 -> 0.5
+ddrmn334 remaindernear 0.5 2.1 -> 0.5
+ddrmn335 remaindernear 0.5 2.01 -> 0.50
+ddrmn336 remaindernear 0.5 2.001 -> 0.500
+ddrmn337 remaindernear 0.50 2 -> 0.50
+ddrmn338 remaindernear 0.50 2.01 -> 0.50
+ddrmn339 remaindernear 0.50 2.001 -> 0.500
+
+ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7
+ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8
+ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9
+ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10
+ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11
+ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7
+ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8
+ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9
+ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10
+ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11
+ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12
+
+ddrmn351 remaindernear 0.03 7 -> 0.03
+ddrmn352 remaindernear 5 2 -> 1
+ddrmn353 remaindernear 4.1 2 -> 0.1
+ddrmn354 remaindernear 4.01 2 -> 0.01
+ddrmn355 remaindernear 4.001 2 -> 0.001
+ddrmn356 remaindernear 4.0001 2 -> 0.0001
+ddrmn357 remaindernear 4.00001 2 -> 0.00001
+ddrmn358 remaindernear 4.000001 2 -> 0.000001
+ddrmn359 remaindernear 4.0000001 2 -> 1E-7
+
+ddrmn360 remaindernear 1.2 0.7345 -> -0.2690
+ddrmn361 remaindernear 0.8 12 -> 0.8
+ddrmn362 remaindernear 0.8 0.2 -> 0.0
+ddrmn363 remaindernear 0.8 0.3 -> -0.1
+ddrmn364 remaindernear 0.800 12 -> 0.800
+ddrmn365 remaindernear 0.800 1.7 -> 0.800
+ddrmn366 remaindernear 2.400 2 -> 0.400
+
+-- round to even
+ddrmn371 remaindernear 121 2 -> 1
+ddrmn372 remaindernear 122 2 -> 0
+ddrmn373 remaindernear 123 2 -> -1
+ddrmn374 remaindernear 124 2 -> 0
+ddrmn375 remaindernear 125 2 -> 1
+ddrmn376 remaindernear 126 2 -> 0
+ddrmn377 remaindernear 127 2 -> -1
+
+ddrmn381 remaindernear 12345 1 -> 0
+ddrmn382 remaindernear 12345 1.0001 -> -0.2344
+ddrmn383 remaindernear 12345 1.001 -> -0.333
+ddrmn384 remaindernear 12345 1.01 -> -0.23
+ddrmn385 remaindernear 12345 1.1 -> -0.3
+ddrmn386 remaindernear 12355 4 -> -1
+ddrmn387 remaindernear 12345 4 -> 1
+ddrmn388 remaindernear 12355 4.0001 -> -1.3089
+ddrmn389 remaindernear 12345 4.0001 -> 0.6914
+ddrmn390 remaindernear 12345 4.9 -> 1.9
+ddrmn391 remaindernear 12345 4.99 -> -0.26
+ddrmn392 remaindernear 12345 4.999 -> 2.469
+ddrmn393 remaindernear 12345 4.9999 -> 0.2469
+ddrmn394 remaindernear 12345 5 -> 0
+ddrmn395 remaindernear 12345 5.0001 -> -0.2469
+ddrmn396 remaindernear 12345 5.001 -> -2.469
+ddrmn397 remaindernear 12345 5.01 -> 0.36
+ddrmn398 remaindernear 12345 5.1 -> -2.1
+
+-- the nasty division-by-1 cases
+ddrmn401 remaindernear 0.4 1 -> 0.4
+ddrmn402 remaindernear 0.45 1 -> 0.45
+ddrmn403 remaindernear 0.455 1 -> 0.455
+ddrmn404 remaindernear 0.4555 1 -> 0.4555
+ddrmn405 remaindernear 0.45555 1 -> 0.45555
+ddrmn406 remaindernear 0.455555 1 -> 0.455555
+ddrmn407 remaindernear 0.4555555 1 -> 0.4555555
+ddrmn408 remaindernear 0.45555555 1 -> 0.45555555
+ddrmn409 remaindernear 0.455555555 1 -> 0.455555555
+-- with spill... [412 exercises sticktab loop]
+ddrmn411 remaindernear 0.5 1 -> 0.5
+ddrmn412 remaindernear 0.55 1 -> -0.45
+ddrmn413 remaindernear 0.555 1 -> -0.445
+ddrmn414 remaindernear 0.5555 1 -> -0.4445
+ddrmn415 remaindernear 0.55555 1 -> -0.44445
+ddrmn416 remaindernear 0.555555 1 -> -0.444445
+ddrmn417 remaindernear 0.5555555 1 -> -0.4444445
+ddrmn418 remaindernear 0.55555555 1 -> -0.44444445
+ddrmn419 remaindernear 0.555555555 1 -> -0.444444445
+
+-- folddowns
+ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible
+ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped
+ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped
+ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
+ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
+ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped
+ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped
+ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
+ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
+ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
+-- tinies
+ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398
+ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398
+ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal
+ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal
+ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398
+ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal
+ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal
+ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal
+ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal
+ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398
+ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal
+ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal
+ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398
+ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal
+ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal
+
+-- zero signs
+ddrmn650 remaindernear 1 1 -> 0
+ddrmn651 remaindernear -1 1 -> -0
+ddrmn652 remaindernear 1 -1 -> 0
+ddrmn653 remaindernear -1 -1 -> -0
+ddrmn654 remaindernear 0 1 -> 0
+ddrmn655 remaindernear -0 1 -> -0
+ddrmn656 remaindernear 0 -1 -> 0
+ddrmn657 remaindernear -0 -1 -> -0
+ddrmn658 remaindernear 0.00 1 -> 0.00
+ddrmn659 remaindernear -0.00 1 -> -0.00
+
+-- Specials
+ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation
+ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation
+ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation
+ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation
+ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation
+ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation
+ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation
+ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation
+ddrmn688 remaindernear -1000 Inf -> -1000
+ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation
+ddrmn691 remaindernear -1 Inf -> -1
+ddrmn692 remaindernear 0 Inf -> 0
+ddrmn693 remaindernear -0 Inf -> -0
+ddrmn694 remaindernear 1 Inf -> 1
+ddrmn695 remaindernear 1000 Inf -> 1000
+ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation
+
+ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation
+ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation
+ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation
+ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation
+ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation
+ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation
+ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation
+ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation
+ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation
+ddrmn709 remaindernear -1000 Inf -> -1000
+ddrmn710 remaindernear -1 -Inf -> -1
+ddrmn711 remaindernear -0 -Inf -> -0
+ddrmn712 remaindernear 0 -Inf -> 0
+ddrmn713 remaindernear 1 -Inf -> 1
+ddrmn714 remaindernear 1000 -Inf -> 1000
+ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation
+
+ddrmn721 remaindernear NaN -Inf -> NaN
+ddrmn722 remaindernear NaN -1000 -> NaN
+ddrmn723 remaindernear NaN -1 -> NaN
+ddrmn724 remaindernear NaN -0 -> NaN
+ddrmn725 remaindernear -NaN 0 -> -NaN
+ddrmn726 remaindernear NaN 1 -> NaN
+ddrmn727 remaindernear NaN 1000 -> NaN
+ddrmn728 remaindernear NaN Inf -> NaN
+ddrmn729 remaindernear NaN -NaN -> NaN
+ddrmn730 remaindernear -Inf NaN -> NaN
+ddrmn731 remaindernear -1000 NaN -> NaN
+ddrmn732 remaindernear -1 NaN -> NaN
+ddrmn733 remaindernear -0 -NaN -> -NaN
+ddrmn734 remaindernear 0 NaN -> NaN
+ddrmn735 remaindernear 1 -NaN -> -NaN
+ddrmn736 remaindernear 1000 NaN -> NaN
+ddrmn737 remaindernear Inf NaN -> NaN
+
+ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation
+ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation
+ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation
+ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation
+ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation
+ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation
+ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation
+ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation
+ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation
+ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation
+ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation
+ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation
+ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation
+ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation
+ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation
+ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation
+ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation
+ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation
+
+-- propaging NaNs
+ddrmn760 remaindernear NaN1 NaN7 -> NaN1
+ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
+ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation
+ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
+ddrmn764 remaindernear 15 NaN11 -> NaN11
+ddrmn765 remaindernear NaN6 NaN12 -> NaN6
+ddrmn766 remaindernear Inf NaN13 -> NaN13
+ddrmn767 remaindernear NaN14 -Inf -> NaN14
+ddrmn768 remaindernear 0 NaN15 -> NaN15
+ddrmn769 remaindernear NaN16 -0 -> NaN16
+
+-- edge cases of impossible
+ddrmn770 remaindernear 1234567890123456 10 -> -4
+ddrmn771 remaindernear 1234567890123456 1 -> 0
+ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible
+ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible
+
+-- long operand checks
+ddrmn801 remaindernear 12345678000 100 -> 0
+ddrmn802 remaindernear 1 12345678000 -> 1
+ddrmn803 remaindernear 1234567800 10 -> 0
+ddrmn804 remaindernear 1 1234567800 -> 1
+ddrmn805 remaindernear 1234567890 10 -> 0
+ddrmn806 remaindernear 1 1234567890 -> 1
+ddrmn807 remaindernear 1234567891 10 -> 1
+ddrmn808 remaindernear 1 1234567891 -> 1
+ddrmn809 remaindernear 12345678901 100 -> 1
+ddrmn810 remaindernear 1 12345678901 -> 1
+ddrmn811 remaindernear 1234567896 10 -> -4
+ddrmn812 remaindernear 1 1234567896 -> 1
+
+ddrmn821 remaindernear 12345678000 100 -> 0
+ddrmn822 remaindernear 1 12345678000 -> 1
+ddrmn823 remaindernear 1234567800 10 -> 0
+ddrmn824 remaindernear 1 1234567800 -> 1
+ddrmn825 remaindernear 1234567890 10 -> 0
+ddrmn826 remaindernear 1 1234567890 -> 1
+ddrmn827 remaindernear 1234567891 10 -> 1
+ddrmn828 remaindernear 1 1234567891 -> 1
+ddrmn829 remaindernear 12345678901 100 -> 1
+ddrmn830 remaindernear 1 12345678901 -> 1
+ddrmn831 remaindernear 1234567896 10 -> -4
+ddrmn832 remaindernear 1 1234567896 -> 1
+
+-- from divideint
+ddrmn840 remaindernear 100000000.0 1 -> 0.0
+ddrmn841 remaindernear 100000000.4 1 -> 0.4
+ddrmn842 remaindernear 100000000.5 1 -> 0.5
+ddrmn843 remaindernear 100000000.9 1 -> -0.1
+ddrmn844 remaindernear 100000000.999 1 -> -0.001
+ddrmn850 remaindernear 100000003 5 -> -2
+ddrmn851 remaindernear 10000003 5 -> -2
+ddrmn852 remaindernear 1000003 5 -> -2
+ddrmn853 remaindernear 100003 5 -> -2
+ddrmn854 remaindernear 10003 5 -> -2
+ddrmn855 remaindernear 1003 5 -> -2
+ddrmn856 remaindernear 103 5 -> -2
+ddrmn857 remaindernear 13 5 -> -2
+ddrmn858 remaindernear 1 5 -> 1
+
+-- Vladimir's cases 1234567890123456
+ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230
+ddrmn861 remaindernear 1230 1000000000000000 -> 1230
+ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230
+ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230
+ddrmn864 remaindernear 123e1 1000000000000000 -> 1230
+ddrmn870 remaindernear 123e1 1000000000000000 -> 1230
+ddrmn871 remaindernear 123e1 100000000000000 -> 1230
+ddrmn872 remaindernear 123e1 10000000000000 -> 1230
+ddrmn873 remaindernear 123e1 1000000000000 -> 1230
+ddrmn874 remaindernear 123e1 100000000000 -> 1230
+ddrmn875 remaindernear 123e1 10000000000 -> 1230
+ddrmn876 remaindernear 123e1 1000000000 -> 1230
+ddrmn877 remaindernear 123e1 100000000 -> 1230
+ddrmn878 remaindernear 1230 100000000 -> 1230
+ddrmn879 remaindernear 123e1 10000000 -> 1230
+ddrmn880 remaindernear 123e1 1000000 -> 1230
+ddrmn881 remaindernear 123e1 100000 -> 1230
+ddrmn882 remaindernear 123e1 10000 -> 1230
+ddrmn883 remaindernear 123e1 1000 -> 230
+ddrmn884 remaindernear 123e1 100 -> 30
+ddrmn885 remaindernear 123e1 10 -> 0
+ddrmn886 remaindernear 123e1 1 -> 0
+
+ddrmn890 remaindernear 123e1 2000000000000000 -> 1230
+ddrmn891 remaindernear 123e1 200000000000000 -> 1230
+ddrmn892 remaindernear 123e1 20000000000000 -> 1230
+ddrmn893 remaindernear 123e1 2000000000000 -> 1230
+ddrmn894 remaindernear 123e1 200000000000 -> 1230
+ddrmn895 remaindernear 123e1 20000000000 -> 1230
+ddrmn896 remaindernear 123e1 2000000000 -> 1230
+ddrmn897 remaindernear 123e1 200000000 -> 1230
+ddrmn899 remaindernear 123e1 20000000 -> 1230
+ddrmn900 remaindernear 123e1 2000000 -> 1230
+ddrmn901 remaindernear 123e1 200000 -> 1230
+ddrmn902 remaindernear 123e1 20000 -> 1230
+ddrmn903 remaindernear 123e1 2000 -> -770
+ddrmn904 remaindernear 123e1 200 -> 30
+ddrmn905 remaindernear 123e1 20 -> -10
+ddrmn906 remaindernear 123e1 2 -> 0
+
+ddrmn910 remaindernear 123e1 5000000000000000 -> 1230
+ddrmn911 remaindernear 123e1 500000000000000 -> 1230
+ddrmn912 remaindernear 123e1 50000000000000 -> 1230
+ddrmn913 remaindernear 123e1 5000000000000 -> 1230
+ddrmn914 remaindernear 123e1 500000000000 -> 1230
+ddrmn915 remaindernear 123e1 50000000000 -> 1230
+ddrmn916 remaindernear 123e1 5000000000 -> 1230
+ddrmn917 remaindernear 123e1 500000000 -> 1230
+ddrmn919 remaindernear 123e1 50000000 -> 1230
+ddrmn920 remaindernear 123e1 5000000 -> 1230
+ddrmn921 remaindernear 123e1 500000 -> 1230
+ddrmn922 remaindernear 123e1 50000 -> 1230
+ddrmn923 remaindernear 123e1 5000 -> 1230
+ddrmn924 remaindernear 123e1 500 -> 230
+ddrmn925 remaindernear 123e1 50 -> -20
+ddrmn926 remaindernear 123e1 5 -> 0
+
+ddrmn930 remaindernear 123e1 9000000000000000 -> 1230
+ddrmn931 remaindernear 123e1 900000000000000 -> 1230
+ddrmn932 remaindernear 123e1 90000000000000 -> 1230
+ddrmn933 remaindernear 123e1 9000000000000 -> 1230
+ddrmn934 remaindernear 123e1 900000000000 -> 1230
+ddrmn935 remaindernear 123e1 90000000000 -> 1230
+ddrmn936 remaindernear 123e1 9000000000 -> 1230
+ddrmn937 remaindernear 123e1 900000000 -> 1230
+ddrmn939 remaindernear 123e1 90000000 -> 1230
+ddrmn940 remaindernear 123e1 9000000 -> 1230
+ddrmn941 remaindernear 123e1 900000 -> 1230
+ddrmn942 remaindernear 123e1 90000 -> 1230
+ddrmn943 remaindernear 123e1 9000 -> 1230
+ddrmn944 remaindernear 123e1 900 -> 330
+ddrmn945 remaindernear 123e1 90 -> -30
+ddrmn946 remaindernear 123e1 9 -> -3
+
+ddrmn950 remaindernear 123e1 1000000000000000 -> 1230
+ddrmn961 remaindernear 123e1 2999999999999999 -> 1230
+ddrmn962 remaindernear 123e1 3999999999999999 -> 1230
+ddrmn963 remaindernear 123e1 4999999999999999 -> 1230
+ddrmn964 remaindernear 123e1 5999999999999999 -> 1230
+ddrmn965 remaindernear 123e1 6999999999999999 -> 1230
+ddrmn966 remaindernear 123e1 7999999999999999 -> 1230
+ddrmn967 remaindernear 123e1 8999999999999999 -> 1230
+ddrmn968 remaindernear 123e1 9999999999999999 -> 1230
+ddrmn969 remaindernear 123e1 9876543210987654 -> 1230
+
+ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
+
+-- overflow and underflow tests [from divide]
+ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible
+ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible
+ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible
+ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible
+ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277
+ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277
+ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277
+ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277
+
+-- Null tests
+ddrmn1000 remaindernear 10 # -> NaN Invalid_operation
+ddrmn1001 remaindernear # 10 -> NaN Invalid_operation
+