819 lines
37 KiB
Plaintext
819 lines
37 KiB
Plaintext
------------------------------------------------------------------------
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-- divide.decTest -- decimal division --
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-- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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version: 2.39
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extended: 1
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precision: 9
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rounding: half_up
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maxExponent: 384
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minexponent: -383
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-- sanity checks
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divx001 divide 1 1 -> 1
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divx002 divide 2 1 -> 2
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divx003 divide 1 2 -> 0.5
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divx004 divide 2 2 -> 1
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divx005 divide 0 1 -> 0
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divx006 divide 0 2 -> 0
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divx007 divide 1 3 -> 0.333333333 Inexact Rounded
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divx008 divide 2 3 -> 0.666666667 Inexact Rounded
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divx009 divide 3 3 -> 1
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divx010 divide 2.4 1 -> 2.4
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divx011 divide 2.4 -1 -> -2.4
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divx012 divide -2.4 1 -> -2.4
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divx013 divide -2.4 -1 -> 2.4
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divx014 divide 2.40 1 -> 2.40
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divx015 divide 2.400 1 -> 2.400
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divx016 divide 2.4 2 -> 1.2
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divx017 divide 2.400 2 -> 1.200
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divx018 divide 2. 2 -> 1
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divx019 divide 20 20 -> 1
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divx020 divide 187 187 -> 1
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divx021 divide 5 2 -> 2.5
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divx022 divide 5 2.0 -> 2.5
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divx023 divide 5 2.000 -> 2.5
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divx024 divide 5 0.20 -> 25
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divx025 divide 5 0.200 -> 25
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divx026 divide 10 1 -> 10
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divx027 divide 100 1 -> 100
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divx028 divide 1000 1 -> 1000
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divx029 divide 1000 100 -> 10
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divx030 divide 1 2 -> 0.5
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divx031 divide 1 4 -> 0.25
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divx032 divide 1 8 -> 0.125
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divx033 divide 1 16 -> 0.0625
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divx034 divide 1 32 -> 0.03125
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divx035 divide 1 64 -> 0.015625
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divx040 divide 1 -2 -> -0.5
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divx041 divide 1 -4 -> -0.25
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divx042 divide 1 -8 -> -0.125
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divx043 divide 1 -16 -> -0.0625
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divx044 divide 1 -32 -> -0.03125
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divx045 divide 1 -64 -> -0.015625
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divx050 divide -1 2 -> -0.5
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divx051 divide -1 4 -> -0.25
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divx052 divide -1 8 -> -0.125
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divx053 divide -1 16 -> -0.0625
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divx054 divide -1 32 -> -0.03125
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divx055 divide -1 64 -> -0.015625
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divx060 divide -1 -2 -> 0.5
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divx061 divide -1 -4 -> 0.25
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divx062 divide -1 -8 -> 0.125
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divx063 divide -1 -16 -> 0.0625
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divx064 divide -1 -32 -> 0.03125
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divx065 divide -1 -64 -> 0.015625
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divx070 divide 999999999 1 -> 999999999
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divx071 divide 999999999.4 1 -> 999999999 Inexact Rounded
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divx072 divide 999999999.5 1 -> 1.00000000E+9 Inexact Rounded
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divx073 divide 999999999.9 1 -> 1.00000000E+9 Inexact Rounded
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divx074 divide 999999999.999 1 -> 1.00000000E+9 Inexact Rounded
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precision: 6
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divx080 divide 999999999 1 -> 1.00000E+9 Inexact Rounded
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divx081 divide 99999999 1 -> 1.00000E+8 Inexact Rounded
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divx082 divide 9999999 1 -> 1.00000E+7 Inexact Rounded
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divx083 divide 999999 1 -> 999999
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divx084 divide 99999 1 -> 99999
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divx085 divide 9999 1 -> 9999
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divx086 divide 999 1 -> 999
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divx087 divide 99 1 -> 99
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divx088 divide 9 1 -> 9
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precision: 9
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divx090 divide 0. 1 -> 0
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divx091 divide .0 1 -> 0.0
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divx092 divide 0.00 1 -> 0.00
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divx093 divide 0.00E+9 1 -> 0E+7
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divx094 divide 0.0000E-50 1 -> 0E-54
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divx095 divide 1 1E-8 -> 1E+8
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divx096 divide 1 1E-9 -> 1E+9
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divx097 divide 1 1E-10 -> 1E+10
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divx098 divide 1 1E-11 -> 1E+11
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divx099 divide 1 1E-12 -> 1E+12
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divx100 divide 1 1 -> 1
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divx101 divide 1 2 -> 0.5
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divx102 divide 1 3 -> 0.333333333 Inexact Rounded
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divx103 divide 1 4 -> 0.25
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divx104 divide 1 5 -> 0.2
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divx105 divide 1 6 -> 0.166666667 Inexact Rounded
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divx106 divide 1 7 -> 0.142857143 Inexact Rounded
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divx107 divide 1 8 -> 0.125
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divx108 divide 1 9 -> 0.111111111 Inexact Rounded
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divx109 divide 1 10 -> 0.1
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divx110 divide 1 1 -> 1
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divx111 divide 2 1 -> 2
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divx112 divide 3 1 -> 3
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divx113 divide 4 1 -> 4
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divx114 divide 5 1 -> 5
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divx115 divide 6 1 -> 6
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divx116 divide 7 1 -> 7
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divx117 divide 8 1 -> 8
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divx118 divide 9 1 -> 9
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divx119 divide 10 1 -> 10
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divx120 divide 3E+1 0.001 -> 3E+4
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divx121 divide 2.200 2 -> 1.100
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divx130 divide 12345 4.999 -> 2469.49390 Inexact Rounded
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divx131 divide 12345 4.99 -> 2473.94790 Inexact Rounded
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divx132 divide 12345 4.9 -> 2519.38776 Inexact Rounded
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divx133 divide 12345 5 -> 2469
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divx134 divide 12345 5.1 -> 2420.58824 Inexact Rounded
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divx135 divide 12345 5.01 -> 2464.07186 Inexact Rounded
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divx136 divide 12345 5.001 -> 2468.50630 Inexact Rounded
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precision: 9
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maxexponent: 999999999
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minexponent: -999999999
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-- test possibly imprecise results
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divx220 divide 391 597 -> 0.654941374 Inexact Rounded
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divx221 divide 391 -597 -> -0.654941374 Inexact Rounded
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divx222 divide -391 597 -> -0.654941374 Inexact Rounded
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divx223 divide -391 -597 -> 0.654941374 Inexact Rounded
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-- test some cases that are close to exponent overflow
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maxexponent: 999999999
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minexponent: -999999999
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divx270 divide 1 1e999999999 -> 1E-999999999
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divx271 divide 1 0.9e999999999 -> 1.11111111E-999999999 Inexact Rounded
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divx272 divide 1 0.99e999999999 -> 1.01010101E-999999999 Inexact Rounded
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divx273 divide 1 0.999999999e999999999 -> 1.00000000E-999999999 Inexact Rounded
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divx274 divide 9e999999999 1 -> 9E+999999999
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divx275 divide 9.9e999999999 1 -> 9.9E+999999999
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divx276 divide 9.99e999999999 1 -> 9.99E+999999999
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divx277 divide 9.99999999e999999999 1 -> 9.99999999E+999999999
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divx280 divide 0.1 9e-999999999 -> 1.11111111E+999999997 Inexact Rounded
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divx281 divide 0.1 99e-999999999 -> 1.01010101E+999999996 Inexact Rounded
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divx282 divide 0.1 999e-999999999 -> 1.00100100E+999999995 Inexact Rounded
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divx283 divide 0.1 9e-999999998 -> 1.11111111E+999999996 Inexact Rounded
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divx284 divide 0.1 99e-999999998 -> 1.01010101E+999999995 Inexact Rounded
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divx285 divide 0.1 999e-999999998 -> 1.00100100E+999999994 Inexact Rounded
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divx286 divide 0.1 999e-999999997 -> 1.00100100E+999999993 Inexact Rounded
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divx287 divide 0.1 9999e-999999997 -> 1.00010001E+999999992 Inexact Rounded
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divx288 divide 0.1 99999e-999999997 -> 1.00001000E+999999991 Inexact Rounded
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-- Divide into 0 tests
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divx301 divide 0 7 -> 0
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divx302 divide 0 7E-5 -> 0E+5
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divx303 divide 0 7E-1 -> 0E+1
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divx304 divide 0 7E+1 -> 0.0
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divx305 divide 0 7E+5 -> 0.00000
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divx306 divide 0 7E+6 -> 0.000000
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divx307 divide 0 7E+7 -> 0E-7
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divx308 divide 0 70E-5 -> 0E+5
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divx309 divide 0 70E-1 -> 0E+1
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divx310 divide 0 70E+0 -> 0
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divx311 divide 0 70E+1 -> 0.0
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divx312 divide 0 70E+5 -> 0.00000
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divx313 divide 0 70E+6 -> 0.000000
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divx314 divide 0 70E+7 -> 0E-7
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divx315 divide 0 700E-5 -> 0E+5
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divx316 divide 0 700E-1 -> 0E+1
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divx317 divide 0 700E+0 -> 0
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divx318 divide 0 700E+1 -> 0.0
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divx319 divide 0 700E+5 -> 0.00000
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divx320 divide 0 700E+6 -> 0.000000
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divx321 divide 0 700E+7 -> 0E-7
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divx322 divide 0 700E+77 -> 0E-77
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divx331 divide 0E-3 7E-5 -> 0E+2
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divx332 divide 0E-3 7E-1 -> 0.00
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divx333 divide 0E-3 7E+1 -> 0.0000
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divx334 divide 0E-3 7E+5 -> 0E-8
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divx335 divide 0E-1 7E-5 -> 0E+4
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divx336 divide 0E-1 7E-1 -> 0
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divx337 divide 0E-1 7E+1 -> 0.00
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divx338 divide 0E-1 7E+5 -> 0.000000
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divx339 divide 0E+1 7E-5 -> 0E+6
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divx340 divide 0E+1 7E-1 -> 0E+2
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divx341 divide 0E+1 7E+1 -> 0
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divx342 divide 0E+1 7E+5 -> 0.0000
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divx343 divide 0E+3 7E-5 -> 0E+8
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divx344 divide 0E+3 7E-1 -> 0E+4
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divx345 divide 0E+3 7E+1 -> 0E+2
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divx346 divide 0E+3 7E+5 -> 0.00
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maxexponent: 92
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minexponent: -92
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precision: 7
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divx351 divide 0E-92 7E-1 -> 0E-91
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divx352 divide 0E-92 7E+1 -> 0E-93
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divx353 divide 0E-92 7E+5 -> 0E-97
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divx354 divide 0E-92 7E+6 -> 0E-98
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divx355 divide 0E-92 7E+7 -> 0E-98 Clamped
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divx356 divide 0E-92 777E-1 -> 0E-91
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divx357 divide 0E-92 777E+1 -> 0E-93
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divx358 divide 0E-92 777E+3 -> 0E-95
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divx359 divide 0E-92 777E+4 -> 0E-96
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divx360 divide 0E-92 777E+5 -> 0E-97
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divx361 divide 0E-92 777E+6 -> 0E-98
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divx362 divide 0E-92 777E+7 -> 0E-98 Clamped
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divx363 divide 0E-92 7E+92 -> 0E-98 Clamped
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divx371 divide 0E-92 700E-1 -> 0E-91
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divx372 divide 0E-92 700E+1 -> 0E-93
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divx373 divide 0E-92 700E+3 -> 0E-95
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divx374 divide 0E-92 700E+4 -> 0E-96
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divx375 divide 0E-92 700E+5 -> 0E-97
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divx376 divide 0E-92 700E+6 -> 0E-98
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divx377 divide 0E-92 700E+7 -> 0E-98 Clamped
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divx381 divide 0E+92 7E+1 -> 0E+91
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divx382 divide 0E+92 7E+0 -> 0E+92
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divx383 divide 0E+92 7E-1 -> 0E+92 Clamped
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divx384 divide 0E+90 777E+1 -> 0E+89
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divx385 divide 0E+90 777E-1 -> 0E+91
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divx386 divide 0E+90 777E-2 -> 0E+92
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divx387 divide 0E+90 777E-3 -> 0E+92 Clamped
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divx388 divide 0E+90 777E-4 -> 0E+92 Clamped
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divx391 divide 0E+90 700E+1 -> 0E+89
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divx392 divide 0E+90 700E-1 -> 0E+91
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divx393 divide 0E+90 700E-2 -> 0E+92
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divx394 divide 0E+90 700E-3 -> 0E+92 Clamped
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divx395 divide 0E+90 700E-4 -> 0E+92 Clamped
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-- input rounding checks
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maxexponent: 999
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minexponent: -999
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precision: 9
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divx401 divide 12345678000 1 -> 1.23456780E+10 Rounded
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divx402 divide 1 12345678000 -> 8.10000066E-11 Inexact Rounded
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divx403 divide 1234567800 1 -> 1.23456780E+9 Rounded
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divx404 divide 1 1234567800 -> 8.10000066E-10 Inexact Rounded
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divx405 divide 1234567890 1 -> 1.23456789E+9 Rounded
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divx406 divide 1 1234567890 -> 8.10000007E-10 Inexact Rounded
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divx407 divide 1234567891 1 -> 1.23456789E+9 Inexact Rounded
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divx408 divide 1 1234567891 -> 8.10000007E-10 Inexact Rounded
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divx409 divide 12345678901 1 -> 1.23456789E+10 Inexact Rounded
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divx410 divide 1 12345678901 -> 8.10000007E-11 Inexact Rounded
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divx411 divide 1234567896 1 -> 1.23456790E+9 Inexact Rounded
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divx412 divide 1 1234567896 -> 8.10000003E-10 Inexact Rounded
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divx413 divide 1 1234567897 -> 8.10000003E-10 Inexact Rounded
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divx414 divide 1 1234567898 -> 8.10000002E-10 Inexact Rounded
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divx415 divide 1 1234567899 -> 8.10000001E-10 Inexact Rounded
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divx416 divide 1 1234567900 -> 8.10000001E-10 Inexact Rounded
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divx417 divide 1 1234567901 -> 8.10000000E-10 Inexact Rounded
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divx418 divide 1 1234567902 -> 8.09999999E-10 Inexact Rounded
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-- some longies
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divx421 divide 1234567896.000000000000 1 -> 1.23456790E+9 Inexact Rounded
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divx422 divide 1 1234567896.000000000000 -> 8.10000003E-10 Inexact Rounded
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divx423 divide 1234567896.000000000001 1 -> 1.23456790E+9 Inexact Rounded
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divx424 divide 1 1234567896.000000000001 -> 8.10000003E-10 Inexact Rounded
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divx425 divide 1234567896.000000000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded
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divx426 divide 1 1234567896.000000000000000000000000000000000000000009 -> 8.10000003E-10 Inexact Rounded
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divx427 divide 1234567897.900010000000000000000000000000000000000009 1 -> 1.23456790E+9 Inexact Rounded
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divx428 divide 1 1234567897.900010000000000000000000000000000000000009 -> 8.10000002E-10 Inexact Rounded
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precision: 15
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-- still checking...
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divx441 divide 12345678000 1 -> 12345678000
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divx442 divide 1 12345678000 -> 8.10000066420005E-11 Inexact Rounded
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divx443 divide 1234567800 1 -> 1234567800
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divx444 divide 1 1234567800 -> 8.10000066420005E-10 Inexact Rounded
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divx445 divide 1234567890 1 -> 1234567890
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divx446 divide 1 1234567890 -> 8.10000007371000E-10 Inexact Rounded
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divx447 divide 1234567891 1 -> 1234567891
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divx448 divide 1 1234567891 -> 8.10000006714900E-10 Inexact Rounded
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divx449 divide 12345678901 1 -> 12345678901
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divx450 divide 1 12345678901 -> 8.10000007305390E-11 Inexact Rounded
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divx451 divide 1234567896 1 -> 1234567896
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divx452 divide 1 1234567896 -> 8.10000003434400E-10 Inexact Rounded
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-- high-lows
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divx453 divide 1e+1 1 -> 1E+1
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divx454 divide 1e+1 1.0 -> 1E+1
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divx455 divide 1e+1 1.00 -> 1E+1
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divx456 divide 1e+2 2 -> 5E+1
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divx457 divide 1e+2 2.0 -> 5E+1
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divx458 divide 1e+2 2.00 -> 5E+1
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-- some from IEEE discussions
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divx460 divide 3e0 2e0 -> 1.5
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divx461 divide 30e-1 2e0 -> 1.5
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divx462 divide 300e-2 2e0 -> 1.50
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divx464 divide 3000e-3 2e0 -> 1.500
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divx465 divide 3e0 20e-1 -> 1.5
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divx466 divide 30e-1 20e-1 -> 1.5
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divx467 divide 300e-2 20e-1 -> 1.5
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divx468 divide 3000e-3 20e-1 -> 1.50
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divx469 divide 3e0 200e-2 -> 1.5
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divx470 divide 30e-1 200e-2 -> 1.5
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divx471 divide 300e-2 200e-2 -> 1.5
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divx472 divide 3000e-3 200e-2 -> 1.5
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divx473 divide 3e0 2000e-3 -> 1.5
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divx474 divide 30e-1 2000e-3 -> 1.5
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divx475 divide 300e-2 2000e-3 -> 1.5
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divx476 divide 3000e-3 2000e-3 -> 1.5
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-- some reciprocals
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divx480 divide 1 1.0E+33 -> 1E-33
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divx481 divide 1 10E+33 -> 1E-34
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divx482 divide 1 1.0E-33 -> 1E+33
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divx483 divide 1 10E-33 -> 1E+32
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-- RMS discussion table
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maxexponent: 96
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minexponent: -95
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precision: 7
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divx484 divide 0e5 1e3 -> 0E+2
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divx485 divide 0e5 2e3 -> 0E+2
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divx486 divide 0e5 10e2 -> 0E+3
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divx487 divide 0e5 20e2 -> 0E+3
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divx488 divide 0e5 100e1 -> 0E+4
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divx489 divide 0e5 200e1 -> 0E+4
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divx491 divide 1e5 1e3 -> 1E+2
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divx492 divide 1e5 2e3 -> 5E+1
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divx493 divide 1e5 10e2 -> 1E+2
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divx494 divide 1e5 20e2 -> 5E+1
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divx495 divide 1e5 100e1 -> 1E+2
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divx496 divide 1e5 200e1 -> 5E+1
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-- tryzeros cases
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precision: 7
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rounding: half_up
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maxExponent: 92
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minexponent: -92
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divx497 divide 0E+86 1000E-13 -> 0E+92 Clamped
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divx498 divide 0E-98 1000E+13 -> 0E-98 Clamped
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precision: 9
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rounding: half_up
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maxExponent: 999
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minexponent: -999
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-- focus on trailing zeros issues
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precision: 9
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divx500 divide 1 9.9 -> 0.101010101 Inexact Rounded
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precision: 8
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divx501 divide 1 9.9 -> 0.10101010 Inexact Rounded
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precision: 7
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divx502 divide 1 9.9 -> 0.1010101 Inexact Rounded
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precision: 6
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divx503 divide 1 9.9 -> 0.101010 Inexact Rounded
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precision: 9
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divx511 divide 1 2 -> 0.5
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divx512 divide 1.0 2 -> 0.5
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divx513 divide 1.00 2 -> 0.50
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divx514 divide 1.000 2 -> 0.500
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divx515 divide 1.0000 2 -> 0.5000
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divx516 divide 1.00000 2 -> 0.50000
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divx517 divide 1.000000 2 -> 0.500000
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divx518 divide 1.0000000 2 -> 0.5000000
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divx519 divide 1.00 2.00 -> 0.5
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divx521 divide 2 1 -> 2
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divx522 divide 2 1.0 -> 2
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divx523 divide 2 1.00 -> 2
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divx524 divide 2 1.000 -> 2
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divx525 divide 2 1.0000 -> 2
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divx526 divide 2 1.00000 -> 2
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divx527 divide 2 1.000000 -> 2
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divx528 divide 2 1.0000000 -> 2
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divx529 divide 2.00 1.00 -> 2
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divx530 divide 2.40 2 -> 1.20
|
|
divx531 divide 2.40 4 -> 0.60
|
|
divx532 divide 2.40 10 -> 0.24
|
|
divx533 divide 2.40 2.0 -> 1.2
|
|
divx534 divide 2.40 4.0 -> 0.6
|
|
divx535 divide 2.40 10.0 -> 0.24
|
|
divx536 divide 2.40 2.00 -> 1.2
|
|
divx537 divide 2.40 4.00 -> 0.6
|
|
divx538 divide 2.40 10.00 -> 0.24
|
|
divx539 divide 0.9 0.1 -> 9
|
|
divx540 divide 0.9 0.01 -> 9E+1
|
|
divx541 divide 0.9 0.001 -> 9E+2
|
|
divx542 divide 5 2 -> 2.5
|
|
divx543 divide 5 2.0 -> 2.5
|
|
divx544 divide 5 2.00 -> 2.5
|
|
divx545 divide 5 20 -> 0.25
|
|
divx546 divide 5 20.0 -> 0.25
|
|
divx547 divide 2.400 2 -> 1.200
|
|
divx548 divide 2.400 2.0 -> 1.20
|
|
divx549 divide 2.400 2.400 -> 1
|
|
|
|
divx550 divide 240 1 -> 240
|
|
divx551 divide 240 10 -> 24
|
|
divx552 divide 240 100 -> 2.4
|
|
divx553 divide 240 1000 -> 0.24
|
|
divx554 divide 2400 1 -> 2400
|
|
divx555 divide 2400 10 -> 240
|
|
divx556 divide 2400 100 -> 24
|
|
divx557 divide 2400 1000 -> 2.4
|
|
|
|
-- +ve exponent
|
|
precision: 5
|
|
divx570 divide 2.4E+6 2 -> 1.2E+6
|
|
divx571 divide 2.40E+6 2 -> 1.20E+6
|
|
divx572 divide 2.400E+6 2 -> 1.200E+6
|
|
divx573 divide 2.4000E+6 2 -> 1.2000E+6
|
|
divx574 divide 24E+5 2 -> 1.2E+6
|
|
divx575 divide 240E+4 2 -> 1.20E+6
|
|
divx576 divide 2400E+3 2 -> 1.200E+6
|
|
divx577 divide 24000E+2 2 -> 1.2000E+6
|
|
precision: 6
|
|
divx580 divide 2.4E+6 2 -> 1.2E+6
|
|
divx581 divide 2.40E+6 2 -> 1.20E+6
|
|
divx582 divide 2.400E+6 2 -> 1.200E+6
|
|
divx583 divide 2.4000E+6 2 -> 1.2000E+6
|
|
divx584 divide 24E+5 2 -> 1.2E+6
|
|
divx585 divide 240E+4 2 -> 1.20E+6
|
|
divx586 divide 2400E+3 2 -> 1.200E+6
|
|
divx587 divide 24000E+2 2 -> 1.2000E+6
|
|
precision: 7
|
|
divx590 divide 2.4E+6 2 -> 1.2E+6
|
|
divx591 divide 2.40E+6 2 -> 1.20E+6
|
|
divx592 divide 2.400E+6 2 -> 1.200E+6
|
|
divx593 divide 2.4000E+6 2 -> 1.2000E+6
|
|
divx594 divide 24E+5 2 -> 1.2E+6
|
|
divx595 divide 240E+4 2 -> 1.20E+6
|
|
divx596 divide 2400E+3 2 -> 1.200E+6
|
|
divx597 divide 24000E+2 2 -> 1.2000E+6
|
|
precision: 9
|
|
divx600 divide 2.4E+9 2 -> 1.2E+9
|
|
divx601 divide 2.40E+9 2 -> 1.20E+9
|
|
divx602 divide 2.400E+9 2 -> 1.200E+9
|
|
divx603 divide 2.4000E+9 2 -> 1.2000E+9
|
|
divx604 divide 24E+8 2 -> 1.2E+9
|
|
divx605 divide 240E+7 2 -> 1.20E+9
|
|
divx606 divide 2400E+6 2 -> 1.200E+9
|
|
divx607 divide 24000E+5 2 -> 1.2000E+9
|
|
|
|
-- long operand triangle
|
|
precision: 33
|
|
divx610 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097703792 Inexact Rounded
|
|
precision: 32
|
|
divx611 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770379 Inexact Rounded
|
|
precision: 31
|
|
divx612 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977038 Inexact Rounded
|
|
precision: 30
|
|
divx613 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131097704 Inexact Rounded
|
|
precision: 29
|
|
divx614 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813109770 Inexact Rounded
|
|
precision: 28
|
|
divx615 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81310977 Inexact Rounded
|
|
precision: 27
|
|
divx616 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131098 Inexact Rounded
|
|
precision: 26
|
|
divx617 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813110 Inexact Rounded
|
|
precision: 25
|
|
divx618 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81311 Inexact Rounded
|
|
precision: 24
|
|
divx619 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8131 Inexact Rounded
|
|
precision: 23
|
|
divx620 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.813 Inexact Rounded
|
|
precision: 22
|
|
divx621 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.81 Inexact Rounded
|
|
precision: 21
|
|
divx622 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817797.8 Inexact Rounded
|
|
precision: 20
|
|
divx623 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -41011408883796817798 Inexact Rounded
|
|
precision: 19
|
|
divx624 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379681780E+19 Inexact Rounded
|
|
precision: 18
|
|
divx625 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968178E+19 Inexact Rounded
|
|
precision: 17
|
|
divx626 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883796818E+19 Inexact Rounded
|
|
precision: 16
|
|
divx627 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888379682E+19 Inexact Rounded
|
|
precision: 15
|
|
divx628 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088837968E+19 Inexact Rounded
|
|
precision: 14
|
|
divx629 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408883797E+19 Inexact Rounded
|
|
precision: 13
|
|
divx630 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888380E+19 Inexact Rounded
|
|
precision: 12
|
|
divx631 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114088838E+19 Inexact Rounded
|
|
precision: 11
|
|
divx632 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011408884E+19 Inexact Rounded
|
|
precision: 10
|
|
divx633 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101140888E+19 Inexact Rounded
|
|
precision: 9
|
|
divx634 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114089E+19 Inexact Rounded
|
|
precision: 8
|
|
divx635 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011409E+19 Inexact Rounded
|
|
precision: 7
|
|
divx636 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101141E+19 Inexact Rounded
|
|
precision: 6
|
|
divx637 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10114E+19 Inexact Rounded
|
|
precision: 5
|
|
divx638 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1011E+19 Inexact Rounded
|
|
precision: 4
|
|
divx639 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.101E+19 Inexact Rounded
|
|
precision: 3
|
|
divx640 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.10E+19 Inexact Rounded
|
|
precision: 2
|
|
divx641 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4.1E+19 Inexact Rounded
|
|
precision: 1
|
|
divx642 divide -3374988581607586061255542201048 82293895124.90045271504836568681 -> -4E+19 Inexact Rounded
|
|
|
|
-- more zeros, etc.
|
|
precision: 16
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minExponent: -383
|
|
|
|
divx731 divide 5.00 1E-3 -> 5.00E+3
|
|
divx732 divide 00.00 0.000 -> NaN Division_undefined
|
|
divx733 divide 00.00 0E-3 -> NaN Division_undefined
|
|
divx734 divide 0 -0 -> NaN Division_undefined
|
|
divx735 divide -0 0 -> NaN Division_undefined
|
|
divx736 divide -0 -0 -> NaN Division_undefined
|
|
|
|
divx741 divide 0 -1 -> -0
|
|
divx742 divide -0 -1 -> 0
|
|
divx743 divide 0 1 -> 0
|
|
divx744 divide -0 1 -> -0
|
|
divx745 divide -1 0 -> -Infinity Division_by_zero
|
|
divx746 divide -1 -0 -> Infinity Division_by_zero
|
|
divx747 divide 1 0 -> Infinity Division_by_zero
|
|
divx748 divide 1 -0 -> -Infinity Division_by_zero
|
|
|
|
divx751 divide 0.0 -1 -> -0.0
|
|
divx752 divide -0.0 -1 -> 0.0
|
|
divx753 divide 0.0 1 -> 0.0
|
|
divx754 divide -0.0 1 -> -0.0
|
|
divx755 divide -1.0 0 -> -Infinity Division_by_zero
|
|
divx756 divide -1.0 -0 -> Infinity Division_by_zero
|
|
divx757 divide 1.0 0 -> Infinity Division_by_zero
|
|
divx758 divide 1.0 -0 -> -Infinity Division_by_zero
|
|
|
|
divx761 divide 0 -1.0 -> -0E+1
|
|
divx762 divide -0 -1.0 -> 0E+1
|
|
divx763 divide 0 1.0 -> 0E+1
|
|
divx764 divide -0 1.0 -> -0E+1
|
|
divx765 divide -1 0.0 -> -Infinity Division_by_zero
|
|
divx766 divide -1 -0.0 -> Infinity Division_by_zero
|
|
divx767 divide 1 0.0 -> Infinity Division_by_zero
|
|
divx768 divide 1 -0.0 -> -Infinity Division_by_zero
|
|
|
|
divx771 divide 0.0 -1.0 -> -0
|
|
divx772 divide -0.0 -1.0 -> 0
|
|
divx773 divide 0.0 1.0 -> 0
|
|
divx774 divide -0.0 1.0 -> -0
|
|
divx775 divide -1.0 0.0 -> -Infinity Division_by_zero
|
|
divx776 divide -1.0 -0.0 -> Infinity Division_by_zero
|
|
divx777 divide 1.0 0.0 -> Infinity Division_by_zero
|
|
divx778 divide 1.0 -0.0 -> -Infinity Division_by_zero
|
|
|
|
-- Specials
|
|
divx780 divide Inf -Inf -> NaN Invalid_operation
|
|
divx781 divide Inf -1000 -> -Infinity
|
|
divx782 divide Inf -1 -> -Infinity
|
|
divx783 divide Inf -0 -> -Infinity
|
|
divx784 divide Inf 0 -> Infinity
|
|
divx785 divide Inf 1 -> Infinity
|
|
divx786 divide Inf 1000 -> Infinity
|
|
divx787 divide Inf Inf -> NaN Invalid_operation
|
|
divx788 divide -1000 Inf -> -0E-398 Clamped
|
|
divx789 divide -Inf Inf -> NaN Invalid_operation
|
|
divx790 divide -1 Inf -> -0E-398 Clamped
|
|
divx791 divide -0 Inf -> -0E-398 Clamped
|
|
divx792 divide 0 Inf -> 0E-398 Clamped
|
|
divx793 divide 1 Inf -> 0E-398 Clamped
|
|
divx794 divide 1000 Inf -> 0E-398 Clamped
|
|
divx795 divide Inf Inf -> NaN Invalid_operation
|
|
|
|
divx800 divide -Inf -Inf -> NaN Invalid_operation
|
|
divx801 divide -Inf -1000 -> Infinity
|
|
divx802 divide -Inf -1 -> Infinity
|
|
divx803 divide -Inf -0 -> Infinity
|
|
divx804 divide -Inf 0 -> -Infinity
|
|
divx805 divide -Inf 1 -> -Infinity
|
|
divx806 divide -Inf 1000 -> -Infinity
|
|
divx807 divide -Inf Inf -> NaN Invalid_operation
|
|
divx808 divide -1000 Inf -> -0E-398 Clamped
|
|
divx809 divide -Inf -Inf -> NaN Invalid_operation
|
|
divx810 divide -1 -Inf -> 0E-398 Clamped
|
|
divx811 divide -0 -Inf -> 0E-398 Clamped
|
|
divx812 divide 0 -Inf -> -0E-398 Clamped
|
|
divx813 divide 1 -Inf -> -0E-398 Clamped
|
|
divx814 divide 1000 -Inf -> -0E-398 Clamped
|
|
divx815 divide Inf -Inf -> NaN Invalid_operation
|
|
|
|
divx821 divide NaN -Inf -> NaN
|
|
divx822 divide NaN -1000 -> NaN
|
|
divx823 divide NaN -1 -> NaN
|
|
divx824 divide NaN -0 -> NaN
|
|
divx825 divide NaN 0 -> NaN
|
|
divx826 divide NaN 1 -> NaN
|
|
divx827 divide NaN 1000 -> NaN
|
|
divx828 divide NaN Inf -> NaN
|
|
divx829 divide NaN NaN -> NaN
|
|
divx830 divide -Inf NaN -> NaN
|
|
divx831 divide -1000 NaN -> NaN
|
|
divx832 divide -1 NaN -> NaN
|
|
divx833 divide -0 NaN -> NaN
|
|
divx834 divide 0 NaN -> NaN
|
|
divx835 divide 1 NaN -> NaN
|
|
divx836 divide 1000 NaN -> NaN
|
|
divx837 divide Inf NaN -> NaN
|
|
|
|
divx841 divide sNaN -Inf -> NaN Invalid_operation
|
|
divx842 divide sNaN -1000 -> NaN Invalid_operation
|
|
divx843 divide sNaN -1 -> NaN Invalid_operation
|
|
divx844 divide sNaN -0 -> NaN Invalid_operation
|
|
divx845 divide sNaN 0 -> NaN Invalid_operation
|
|
divx846 divide sNaN 1 -> NaN Invalid_operation
|
|
divx847 divide sNaN 1000 -> NaN Invalid_operation
|
|
divx848 divide sNaN NaN -> NaN Invalid_operation
|
|
divx849 divide sNaN sNaN -> NaN Invalid_operation
|
|
divx850 divide NaN sNaN -> NaN Invalid_operation
|
|
divx851 divide -Inf sNaN -> NaN Invalid_operation
|
|
divx852 divide -1000 sNaN -> NaN Invalid_operation
|
|
divx853 divide -1 sNaN -> NaN Invalid_operation
|
|
divx854 divide -0 sNaN -> NaN Invalid_operation
|
|
divx855 divide 0 sNaN -> NaN Invalid_operation
|
|
divx856 divide 1 sNaN -> NaN Invalid_operation
|
|
divx857 divide 1000 sNaN -> NaN Invalid_operation
|
|
divx858 divide Inf sNaN -> NaN Invalid_operation
|
|
divx859 divide NaN sNaN -> NaN Invalid_operation
|
|
|
|
-- propagating NaNs
|
|
divx861 divide NaN9 -Inf -> NaN9
|
|
divx862 divide NaN8 1000 -> NaN8
|
|
divx863 divide NaN7 Inf -> NaN7
|
|
divx864 divide NaN6 NaN5 -> NaN6
|
|
divx865 divide -Inf NaN4 -> NaN4
|
|
divx866 divide -1000 NaN3 -> NaN3
|
|
divx867 divide Inf NaN2 -> NaN2
|
|
|
|
divx871 divide sNaN99 -Inf -> NaN99 Invalid_operation
|
|
divx872 divide sNaN98 -1 -> NaN98 Invalid_operation
|
|
divx873 divide sNaN97 NaN -> NaN97 Invalid_operation
|
|
divx874 divide sNaN96 sNaN94 -> NaN96 Invalid_operation
|
|
divx875 divide NaN95 sNaN93 -> NaN93 Invalid_operation
|
|
divx876 divide -Inf sNaN92 -> NaN92 Invalid_operation
|
|
divx877 divide 0 sNaN91 -> NaN91 Invalid_operation
|
|
divx878 divide Inf sNaN90 -> NaN90 Invalid_operation
|
|
divx879 divide NaN sNaN89 -> NaN89 Invalid_operation
|
|
|
|
divx881 divide -NaN9 -Inf -> -NaN9
|
|
divx882 divide -NaN8 1000 -> -NaN8
|
|
divx883 divide -NaN7 Inf -> -NaN7
|
|
divx884 divide -NaN6 -NaN5 -> -NaN6
|
|
divx885 divide -Inf -NaN4 -> -NaN4
|
|
divx886 divide -1000 -NaN3 -> -NaN3
|
|
divx887 divide Inf -NaN2 -> -NaN2
|
|
|
|
divx891 divide -sNaN99 -Inf -> -NaN99 Invalid_operation
|
|
divx892 divide -sNaN98 -1 -> -NaN98 Invalid_operation
|
|
divx893 divide -sNaN97 NaN -> -NaN97 Invalid_operation
|
|
divx894 divide -sNaN96 -sNaN94 -> -NaN96 Invalid_operation
|
|
divx895 divide -NaN95 -sNaN93 -> -NaN93 Invalid_operation
|
|
divx896 divide -Inf -sNaN92 -> -NaN92 Invalid_operation
|
|
divx897 divide 0 -sNaN91 -> -NaN91 Invalid_operation
|
|
divx898 divide Inf -sNaN90 -> -NaN90 Invalid_operation
|
|
divx899 divide -NaN -sNaN89 -> -NaN89 Invalid_operation
|
|
|
|
maxexponent: 999999999
|
|
minexponent: -999999999
|
|
|
|
-- Various flavours of divide by 0
|
|
divx901 divide 0 0 -> NaN Division_undefined
|
|
divx902 divide 0.0E5 0 -> NaN Division_undefined
|
|
divx903 divide 0.000 0 -> NaN Division_undefined
|
|
divx904 divide 0.0001 0 -> Infinity Division_by_zero
|
|
divx905 divide 0.01 0 -> Infinity Division_by_zero
|
|
divx906 divide 0.1 0 -> Infinity Division_by_zero
|
|
divx907 divide 1 0 -> Infinity Division_by_zero
|
|
divx908 divide 1 0.0 -> Infinity Division_by_zero
|
|
divx909 divide 10 0.0 -> Infinity Division_by_zero
|
|
divx910 divide 1E+100 0.0 -> Infinity Division_by_zero
|
|
divx911 divide 1E+1000 0 -> Infinity Division_by_zero
|
|
|
|
divx921 divide -0.0001 0 -> -Infinity Division_by_zero
|
|
divx922 divide -0.01 0 -> -Infinity Division_by_zero
|
|
divx923 divide -0.1 0 -> -Infinity Division_by_zero
|
|
divx924 divide -1 0 -> -Infinity Division_by_zero
|
|
divx925 divide -1 0.0 -> -Infinity Division_by_zero
|
|
divx926 divide -10 0.0 -> -Infinity Division_by_zero
|
|
divx927 divide -1E+100 0.0 -> -Infinity Division_by_zero
|
|
divx928 divide -1E+1000 0 -> -Infinity Division_by_zero
|
|
|
|
divx931 divide 0.0001 -0 -> -Infinity Division_by_zero
|
|
divx932 divide 0.01 -0 -> -Infinity Division_by_zero
|
|
divx933 divide 0.1 -0 -> -Infinity Division_by_zero
|
|
divx934 divide 1 -0 -> -Infinity Division_by_zero
|
|
divx935 divide 1 -0.0 -> -Infinity Division_by_zero
|
|
divx936 divide 10 -0.0 -> -Infinity Division_by_zero
|
|
divx937 divide 1E+100 -0.0 -> -Infinity Division_by_zero
|
|
divx938 divide 1E+1000 -0 -> -Infinity Division_by_zero
|
|
|
|
divx941 divide -0.0001 -0 -> Infinity Division_by_zero
|
|
divx942 divide -0.01 -0 -> Infinity Division_by_zero
|
|
divx943 divide -0.1 -0 -> Infinity Division_by_zero
|
|
divx944 divide -1 -0 -> Infinity Division_by_zero
|
|
divx945 divide -1 -0.0 -> Infinity Division_by_zero
|
|
divx946 divide -10 -0.0 -> Infinity Division_by_zero
|
|
divx947 divide -1E+100 -0.0 -> Infinity Division_by_zero
|
|
divx948 divide -1E+1000 -0 -> Infinity Division_by_zero
|
|
|
|
-- overflow and underflow tests
|
|
precision: 9
|
|
maxexponent: 999999999
|
|
minexponent: -999999999
|
|
divx951 divide 9E+999999999 +0.23456789012345E-0 -> Infinity Inexact Overflow Rounded
|
|
divx952 divide +0.100 9E+999999999 -> 1.111111E-1000000001 Inexact Rounded Underflow Subnormal
|
|
divx953 divide 9E-999999999 +9.100 -> 9.8901099E-1000000000 Inexact Rounded Underflow Subnormal
|
|
divx954 divide -1.23456789 9E+999999999 -> -1.3717421E-1000000000 Subnormal
|
|
divx955 divide -1.23456789012345E-0 9E+999999999 -> -1.3717421E-1000000000 Underflow Subnormal Rounded Inexact
|
|
divx956 divide -1.23456789012345E-0 7E+999999999 -> -1.7636684E-1000000000 Inexact Rounded Underflow Subnormal
|
|
divx957 divide 9E+999999999 -0.83456789012345E-0 -> -Infinity Inexact Overflow Rounded
|
|
divx958 divide -0.100 9E+999999999 -> -1.111111E-1000000001 Subnormal Inexact Rounded Underflow
|
|
divx959 divide 9E-999999999 -9.100 -> -9.8901099E-1000000000 Inexact Rounded Underflow Subnormal
|
|
|
|
-- overflow and underflow (additional edge tests in multiply.decTest)
|
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-- 'subnormal' results now possible (all hard underflow or overflow in
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-- base arithemtic)
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divx960 divide 1e-600000000 1e+400000001 -> 1E-1000000001 Subnormal
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divx961 divide 1e-600000000 1e+400000002 -> 1E-1000000002 Subnormal
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divx962 divide 1e-600000000 1e+400000003 -> 1E-1000000003 Subnormal
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divx963 divide 1e-600000000 1e+400000004 -> 1E-1000000004 Subnormal
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divx964 divide 1e-600000000 1e+400000005 -> 1E-1000000005 Subnormal
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divx965 divide 1e-600000000 1e+400000006 -> 1E-1000000006 Subnormal
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divx966 divide 1e-600000000 1e+400000007 -> 1E-1000000007 Subnormal
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divx967 divide 1e-600000000 1e+400000008 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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divx968 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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divx969 divide 1e-600000000 1e+400000010 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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-- [no equivalent of 'subnormal' for overflow]
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divx970 divide 1e+600000000 1e-400000001 -> Infinity Overflow Inexact Rounded
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divx971 divide 1e+600000000 1e-400000002 -> Infinity Overflow Inexact Rounded
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divx972 divide 1e+600000000 1e-400000003 -> Infinity Overflow Inexact Rounded
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divx973 divide 1e+600000000 1e-400000004 -> Infinity Overflow Inexact Rounded
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divx974 divide 1e+600000000 1e-400000005 -> Infinity Overflow Inexact Rounded
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divx975 divide 1e+600000000 1e-400000006 -> Infinity Overflow Inexact Rounded
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divx976 divide 1e+600000000 1e-400000007 -> Infinity Overflow Inexact Rounded
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divx977 divide 1e+600000000 1e-400000008 -> Infinity Overflow Inexact Rounded
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divx978 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded
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divx979 divide 1e+600000000 1e-400000010 -> Infinity Overflow Inexact Rounded
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-- Sign after overflow and underflow
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divx980 divide 1e-600000000 1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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divx981 divide 1e-600000000 -1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded
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divx982 divide -1e-600000000 1e+400000009 -> -0E-1000000007 Underflow Subnormal Inexact Rounded
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divx983 divide -1e-600000000 -1e+400000009 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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divx984 divide 1e+600000000 1e-400000009 -> Infinity Overflow Inexact Rounded
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divx985 divide 1e+600000000 -1e-400000009 -> -Infinity Overflow Inexact Rounded
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divx986 divide -1e+600000000 1e-400000009 -> -Infinity Overflow Inexact Rounded
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divx987 divide -1e+600000000 -1e-400000009 -> Infinity Overflow Inexact Rounded
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|
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-- Long operand overflow may be a different path
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precision: 3
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|
divx990 divide 1000 9.999E-999999999 -> Infinity Inexact Overflow Rounded
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divx991 divide 1000 -9.999E-999999999 -> -Infinity Inexact Overflow Rounded
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divx992 divide 9.999E+999999999 0.01 -> Infinity Inexact Overflow Rounded
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divx993 divide -9.999E+999999999 0.01 -> -Infinity Inexact Overflow Rounded
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|
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-- check for double-rounded subnormals
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|
precision: 5
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maxexponent: 79
|
|
minexponent: -79
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divx1001 divide 1.52444E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
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divx1002 divide 1.52445E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
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divx1003 divide 1.52446E-80 1 -> 1.524E-80 Inexact Rounded Subnormal Underflow
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|
|
-- a rounding problem in one implementation
|
|
precision: 34
|
|
rounding: half_up
|
|
maxExponent: 6144
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|
minExponent: -6143
|
|
-- Unbounded answer to 40 digits:
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|
-- 1.465811965811965811965811965811965811966E+7000
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divx1010 divide 343E6000 234E-1000 -> Infinity Overflow Inexact Rounded
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|
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-- Null tests
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divx9998 divide 10 # -> NaN Invalid_operation
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|
divx9999 divide # 10 -> NaN Invalid_operation
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