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259 lines
12 KiB
Plaintext
259 lines
12 KiB
Plaintext
9 years ago
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------------------------------------------------------------------------
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-- divide0.decTest -- decimal division (simplified) --
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-- Copyright (c) IBM Corporation, 1981, 2008. 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: 2.58
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extended: 0
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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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div001 divide 1 1 -> 1
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div002 divide 2 1 -> 2
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div003 divide 1 2 -> 0.5
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div004 divide 2 2 -> 1
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div005 divide 0 1 -> 0
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div006 divide 0 2 -> 0
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div007 divide 1 3 -> 0.333333333 Inexact Rounded
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div008 divide 2 3 -> 0.666666667 Inexact Rounded
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div009 divide 3 3 -> 1
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div010 divide 2.4 1 -> 2.4
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div011 divide 2.4 -1 -> -2.4
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div012 divide -2.4 1 -> -2.4
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div013 divide -2.4 -1 -> 2.4
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div014 divide 2.40 1 -> 2.4
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div015 divide 2.400 1 -> 2.4
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div016 divide 2.4 2 -> 1.2
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div017 divide 2.400 2 -> 1.2
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div018 divide 2. 2 -> 1
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div019 divide 20 20 -> 1
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div020 divide 187 187 -> 1
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div021 divide 5 2 -> 2.5
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div022 divide 5 2.0 -> 2.5
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div023 divide 5 2.000 -> 2.5
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div024 divide 5 0.200 -> 25
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div025 divide 5 0.200 -> 25
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div026 divide 10 1 -> 10
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div027 divide 100 1 -> 100
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div028 divide 1000 1 -> 1000
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div029 divide 1000 100 -> 10
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div030 divide 1 2 -> 0.5
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div031 divide 1 4 -> 0.25
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div032 divide 1 8 -> 0.125
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div033 divide 1 16 -> 0.0625
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div034 divide 1 32 -> 0.03125
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div035 divide 1 64 -> 0.015625
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div040 divide 1 -2 -> -0.5
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div041 divide 1 -4 -> -0.25
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div042 divide 1 -8 -> -0.125
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div043 divide 1 -16 -> -0.0625
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div044 divide 1 -32 -> -0.03125
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div045 divide 1 -64 -> -0.015625
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div050 divide -1 2 -> -0.5
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div051 divide -1 4 -> -0.25
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div052 divide -1 8 -> -0.125
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div053 divide -1 16 -> -0.0625
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div054 divide -1 32 -> -0.03125
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div055 divide -1 64 -> -0.015625
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div060 divide -1 -2 -> 0.5
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div061 divide -1 -4 -> 0.25
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div062 divide -1 -8 -> 0.125
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div063 divide -1 -16 -> 0.0625
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div064 divide -1 -32 -> 0.03125
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div065 divide -1 -64 -> 0.015625
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div070 divide 999999999 1 -> 999999999
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div071 divide 999999999.4 1 -> 999999999 Inexact Lost_digits Rounded
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div072 divide 999999999.5 1 -> 1E+9 Inexact Lost_digits Rounded
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div073 divide 999999999.9 1 -> 1E+9 Inexact Lost_digits Rounded
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div074 divide 999999999.999 1 -> 1E+9 Inexact Lost_digits Rounded
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precision: 6
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div080 divide 999999999 1 -> 1E+9 Inexact Lost_digits Rounded
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div081 divide 99999999 1 -> 1E+8 Inexact Lost_digits Rounded
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div082 divide 9999999 1 -> 1E+7 Inexact Lost_digits Rounded
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div083 divide 999999 1 -> 999999
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div084 divide 99999 1 -> 99999
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div085 divide 9999 1 -> 9999
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div086 divide 999 1 -> 999
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div087 divide 99 1 -> 99
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div088 divide 9 1 -> 9
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precision: 9
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div090 divide 0. 1 -> 0
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div091 divide .0 1 -> 0
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div092 divide 0.00 1 -> 0
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div093 divide 0.00E+9 1 -> 0
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div094 divide 0.0000E-50 1 -> 0
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div095 divide 1 1E-8 -> 100000000
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div096 divide 1 1E-9 -> 1E+9
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div097 divide 1 1E-10 -> 1E+10
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div098 divide 1 1E-11 -> 1E+11
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div099 divide 1 1E-12 -> 1E+12
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div100 divide 1 1 -> 1
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div101 divide 1 2 -> 0.5
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div102 divide 1 3 -> 0.333333333 Inexact Rounded
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div103 divide 1 4 -> 0.25
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div104 divide 1 5 -> 0.2
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div105 divide 1 6 -> 0.166666667 Inexact Rounded
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div106 divide 1 7 -> 0.142857143 Inexact Rounded
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div107 divide 1 8 -> 0.125
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div108 divide 1 9 -> 0.111111111 Inexact Rounded
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div109 divide 1 10 -> 0.1
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div110 divide 1 1 -> 1
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div111 divide 2 1 -> 2
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div112 divide 3 1 -> 3
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div113 divide 4 1 -> 4
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div114 divide 5 1 -> 5
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div115 divide 6 1 -> 6
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div116 divide 7 1 -> 7
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div117 divide 8 1 -> 8
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div118 divide 9 1 -> 9
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div119 divide 10 1 -> 10
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div130 divide 12345 4.999 -> 2469.4939 Inexact Rounded
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div131 divide 12345 4.99 -> 2473.9479 Inexact Rounded
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div132 divide 12345 4.9 -> 2519.38776 Inexact Rounded
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div133 divide 12345 5 -> 2469
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div134 divide 12345 5.1 -> 2420.58824 Inexact Rounded
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div135 divide 12345 5.01 -> 2464.07186 Inexact Rounded
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div136 divide 12345 5.001 -> 2468.5063 Inexact Rounded
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-- Various flavours of divide by 0
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maxexponent: 999999999
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minexponent: -999999999
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div201 divide 0 0 -> ? Division_undefined
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div202 divide 0.0E5 0 -> ? Division_undefined
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div203 divide 0.000 0 -> ? Division_undefined
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div204 divide 0.0001 0 -> ? Division_by_zero
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div205 divide 0.01 0 -> ? Division_by_zero
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div206 divide 0.1 0 -> ? Division_by_zero
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div207 divide 1 0 -> ? Division_by_zero
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div208 divide 1 0.0 -> ? Division_by_zero
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div209 divide 10 0.0 -> ? Division_by_zero
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div210 divide 1E+100 0.0 -> ? Division_by_zero
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div211 divide 1E+1000 0 -> ? Division_by_zero
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-- test possibly imprecise results
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div220 divide 391 597 -> 0.654941374 Inexact Rounded
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div221 divide 391 -597 -> -0.654941374 Inexact Rounded
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div222 divide -391 597 -> -0.654941374 Inexact Rounded
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div223 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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div270 divide 1 1e999999999 -> 1E-999999999
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div271 divide 1 0.9e999999999 -> 1.11111111E-999999999 Inexact Rounded
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div272 divide 1 0.99e999999999 -> 1.01010101E-999999999 Inexact Rounded
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div273 divide 1 0.999999999e999999999 -> 1E-999999999 Inexact Rounded
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div274 divide 9e999999999 1 -> 9E+999999999
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div275 divide 9.9e999999999 1 -> 9.9E+999999999
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div276 divide 9.99e999999999 1 -> 9.99E+999999999
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div277 divide 9.99999999e999999999 1 -> 9.99999999E+999999999
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div280 divide 0.1 9e-999999999 -> 1.11111111E+999999997 Inexact Rounded
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div281 divide 0.1 99e-999999999 -> 1.01010101E+999999996 Inexact Rounded
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div282 divide 0.1 999e-999999999 -> 1.001001E+999999995 Inexact Rounded
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div283 divide 0.1 9e-999999998 -> 1.11111111E+999999996 Inexact Rounded
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div284 divide 0.1 99e-999999998 -> 1.01010101E+999999995 Inexact Rounded
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div285 divide 0.1 999e-999999998 -> 1.001001E+999999994 Inexact Rounded
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div286 divide 0.1 999e-999999997 -> 1.001001E+999999993 Inexact Rounded
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div287 divide 0.1 9999e-999999997 -> 1.00010001E+999999992 Inexact Rounded
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div288 divide 0.1 99999e-999999997 -> 1.00001E+999999991 Inexact Rounded
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-- overflow and underflow tests
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maxexponent: 999999999
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minexponent: -999999999
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div330 divide +1.23456789012345E-0 9E+999999999 -> ? Inexact Lost_digits Rounded Underflow Subnormal
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div331 divide 9E+999999999 +0.23456789012345E-0 -> ? Inexact Lost_digits Overflow Rounded
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div332 divide +0.100 9E+999999999 -> ? Inexact Rounded Underflow Subnormal
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div333 divide 9E-999999999 +9.100 -> ? Inexact Rounded Underflow Subnormal
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div335 divide -1.23456789012345E-0 9E+999999999 -> ? Inexact Lost_digits Rounded Underflow Subnormal
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div336 divide 9E+999999999 -0.83456789012345E-0 -> ? Inexact Lost_digits Overflow Rounded
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div337 divide -0.100 9E+999999999 -> ? Inexact Rounded Underflow Subnormal
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div338 divide 9E-999999999 -9.100 -> ? Inexact Rounded Underflow Subnormal
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-- 'subnormal' results (all underflow or overflow in base arithemtic)
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div360 divide 1e-600000000 1e+400000001 -> ? Underflow Subnormal Inexact Rounded
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div361 divide 1e-600000000 1e+400000002 -> ? Underflow Subnormal Inexact Rounded
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div362 divide 1e-600000000 1e+400000003 -> ? Underflow Subnormal Inexact Rounded
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div363 divide 1e-600000000 1e+400000004 -> ? Underflow Subnormal Inexact Rounded
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div364 divide 1e-600000000 1e+400000005 -> ? Underflow Subnormal Inexact Rounded
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div365 divide 1e-600000000 1e+400000006 -> ? Underflow Subnormal Inexact Rounded
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div366 divide 1e-600000000 1e+400000007 -> ? Underflow Subnormal Inexact Rounded
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div367 divide 1e-600000000 1e+400000008 -> ? Underflow Subnormal Inexact Rounded
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div368 divide 1e-600000000 1e+400000009 -> ? Underflow Subnormal Inexact Rounded
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div369 divide 1e-600000000 1e+400000010 -> ? Underflow Subnormal Inexact Rounded
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-- [no equivalent of 'subnormal' for overflow]
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div370 divide 1e+600000000 1e-400000001 -> ? Overflow Inexact Rounded
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div371 divide 1e+600000000 1e-400000002 -> ? Overflow Inexact Rounded
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div372 divide 1e+600000000 1e-400000003 -> ? Overflow Inexact Rounded
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div373 divide 1e+600000000 1e-400000004 -> ? Overflow Inexact Rounded
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div374 divide 1e+600000000 1e-400000005 -> ? Overflow Inexact Rounded
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div375 divide 1e+600000000 1e-400000006 -> ? Overflow Inexact Rounded
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div376 divide 1e+600000000 1e-400000007 -> ? Overflow Inexact Rounded
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div377 divide 1e+600000000 1e-400000008 -> ? Overflow Inexact Rounded
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div378 divide 1e+600000000 1e-400000009 -> ? Overflow Inexact Rounded
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div379 divide 1e+600000000 1e-400000010 -> ? Overflow Inexact Rounded
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-- lostDigits checks
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maxexponent: 999
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minexponent: -999
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precision: 9
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div401 divide 12345678000 1 -> 1.2345678E+10 Rounded
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div402 divide 1 12345678000 -> 8.10000066E-11 Inexact Rounded
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div403 divide 1234567800 1 -> 1.2345678E+9 Rounded
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div404 divide 1 1234567800 -> 8.10000066E-10 Inexact Rounded
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div405 divide 1234567890 1 -> 1.23456789E+9 Rounded
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div406 divide 1 1234567890 -> 8.10000007E-10 Inexact Rounded
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div407 divide 1234567891 1 -> 1.23456789E+9 Inexact Lost_digits Rounded
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div408 divide 1 1234567891 -> 8.10000007E-10 Inexact Lost_digits Rounded
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div409 divide 12345678901 1 -> 1.23456789E+10 Inexact Lost_digits Rounded
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div410 divide 1 12345678901 -> 8.10000007E-11 Inexact Lost_digits Rounded
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div411 divide 1234567896 1 -> 1.2345679E+9 Inexact Lost_digits Rounded
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div412 divide 1 1234567896 -> 8.10000001E-10 Inexact Lost_digits Rounded
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-- previous case different (8.10000003E-10) if no input rounding
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precision: 15
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-- still checking for [no] lostDigits
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div441 divide 12345678000 1 -> 12345678000
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div442 divide 1 12345678000 -> 8.10000066420005E-11 Inexact Rounded
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div443 divide 1234567800 1 -> 1234567800
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div444 divide 1 1234567800 -> 8.10000066420005E-10 Inexact Rounded
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div445 divide 1234567890 1 -> 1234567890
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div446 divide 1 1234567890 -> 8.10000007371E-10 Inexact Rounded
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div447 divide 1234567891 1 -> 1234567891
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div448 divide 1 1234567891 -> 8.100000067149E-10 Inexact Rounded
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div449 divide 12345678901 1 -> 12345678901
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div450 divide 1 12345678901 -> 8.1000000730539E-11 Inexact Rounded
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div451 divide 1234567896 1 -> 1234567896
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div452 divide 1 1234567896 -> 8.100000034344E-10 Inexact Rounded
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-- Null tests
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div900 divide 10 # -> ? Invalid_operation
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div901 divide # 10 -> ? Invalid_operation
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