1 ------------------------------------------------------------------------ 2 -- abs.decTest -- decimal absolute value -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 -- This set of tests primarily tests the existence of the operator. 23 -- Additon, subtraction, rounding, and more overflows are tested 24 -- elsewhere. 25 26 precision: 9 27 rounding: half_up 28 maxExponent: 384 29 minexponent: -383 30 extended: 1 31 32 absx001 abs '1' -> '1' 33 absx002 abs '-1' -> '1' 34 absx003 abs '1.00' -> '1.00' 35 absx004 abs '-1.00' -> '1.00' 36 absx005 abs '0' -> '0' 37 absx006 abs '0.00' -> '0.00' 38 absx007 abs '00.0' -> '0.0' 39 absx008 abs '00.00' -> '0.00' 40 absx009 abs '00' -> '0' 41 42 absx010 abs '-2' -> '2' 43 absx011 abs '2' -> '2' 44 absx012 abs '-2.00' -> '2.00' 45 absx013 abs '2.00' -> '2.00' 46 absx014 abs '-0' -> '0' 47 absx015 abs '-0.00' -> '0.00' 48 absx016 abs '-00.0' -> '0.0' 49 absx017 abs '-00.00' -> '0.00' 50 absx018 abs '-00' -> '0' 51 52 absx020 abs '-2000000' -> '2000000' 53 absx021 abs '2000000' -> '2000000' 54 precision: 7 55 absx022 abs '-2000000' -> '2000000' 56 absx023 abs '2000000' -> '2000000' 57 precision: 6 58 absx024 abs '-2000000' -> '2.00000E+6' Rounded 59 absx025 abs '2000000' -> '2.00000E+6' Rounded 60 precision: 3 61 absx026 abs '-2000000' -> '2.00E+6' Rounded 62 absx027 abs '2000000' -> '2.00E+6' Rounded 63 64 absx030 abs '+0.1' -> '0.1' 65 absx031 abs '-0.1' -> '0.1' 66 absx032 abs '+0.01' -> '0.01' 67 absx033 abs '-0.01' -> '0.01' 68 absx034 abs '+0.001' -> '0.001' 69 absx035 abs '-0.001' -> '0.001' 70 absx036 abs '+0.000001' -> '0.000001' 71 absx037 abs '-0.000001' -> '0.000001' 72 absx038 abs '+0.000000000001' -> '1E-12' 73 absx039 abs '-0.000000000001' -> '1E-12' 74 75 -- examples from decArith 76 precision: 9 77 absx040 abs '2.1' -> '2.1' 78 absx041 abs '-100' -> '100' 79 absx042 abs '101.5' -> '101.5' 80 absx043 abs '-101.5' -> '101.5' 81 82 -- more fixed, potential LHS swaps/overlays if done by subtract 0 83 precision: 9 84 absx060 abs '-56267E-10' -> '0.0000056267' 85 absx061 abs '-56267E-5' -> '0.56267' 86 absx062 abs '-56267E-2' -> '562.67' 87 absx063 abs '-56267E-1' -> '5626.7' 88 absx065 abs '-56267E-0' -> '56267' 89 90 -- overflow tests 91 maxexponent: 999999999 92 minexponent: -999999999 93 precision: 3 94 absx120 abs 9.999E+999999999 -> Infinity Inexact Overflow Rounded 95 96 -- subnormals and underflow 97 precision: 3 98 maxexponent: 999 99 minexponent: -999 100 absx210 abs 1.00E-999 -> 1.00E-999 101 absx211 abs 0.1E-999 -> 1E-1000 Subnormal 102 absx212 abs 0.10E-999 -> 1.0E-1000 Subnormal 103 absx213 abs 0.100E-999 -> 1.0E-1000 Subnormal Rounded 104 absx214 abs 0.01E-999 -> 1E-1001 Subnormal 105 -- next is rounded to Emin 106 absx215 abs 0.999E-999 -> 1.00E-999 Inexact Rounded Subnormal Underflow 107 absx216 abs 0.099E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 108 absx217 abs 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow 109 absx218 abs 0.001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 110 absx219 abs 0.0009E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 111 absx220 abs 0.0001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 112 113 absx230 abs -1.00E-999 -> 1.00E-999 114 absx231 abs -0.1E-999 -> 1E-1000 Subnormal 115 absx232 abs -0.10E-999 -> 1.0E-1000 Subnormal 116 absx233 abs -0.100E-999 -> 1.0E-1000 Subnormal Rounded 117 absx234 abs -0.01E-999 -> 1E-1001 Subnormal 118 -- next is rounded to Emin 119 absx235 abs -0.999E-999 -> 1.00E-999 Inexact Rounded Subnormal Underflow 120 absx236 abs -0.099E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 121 absx237 abs -0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow 122 absx238 abs -0.001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 123 absx239 abs -0.0009E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 124 absx240 abs -0.0001E-999 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 125 126 -- long operand tests 127 maxexponent: 999 128 minexponent: -999 129 precision: 9 130 absx301 abs 12345678000 -> 1.23456780E+10 Rounded 131 absx302 abs 1234567800 -> 1.23456780E+9 Rounded 132 absx303 abs 1234567890 -> 1.23456789E+9 Rounded 133 absx304 abs 1234567891 -> 1.23456789E+9 Inexact Rounded 134 absx305 abs 12345678901 -> 1.23456789E+10 Inexact Rounded 135 absx306 abs 1234567896 -> 1.23456790E+9 Inexact Rounded 136 137 precision: 15 138 absx321 abs 12345678000 -> 12345678000 139 absx322 abs 1234567800 -> 1234567800 140 absx323 abs 1234567890 -> 1234567890 141 absx324 abs 1234567891 -> 1234567891 142 absx325 abs 12345678901 -> 12345678901 143 absx326 abs 1234567896 -> 1234567896 144 145 146 -- Specials 147 precision: 9 148 149 -- specials 150 absx520 abs 'Inf' -> 'Infinity' 151 absx521 abs '-Inf' -> 'Infinity' 152 absx522 abs NaN -> NaN 153 absx523 abs sNaN -> NaN Invalid_operation 154 absx524 abs NaN22 -> NaN22 155 absx525 abs sNaN33 -> NaN33 Invalid_operation 156 absx526 abs -NaN22 -> -NaN22 157 absx527 abs -sNaN33 -> -NaN33 Invalid_operation 158 159 -- Null tests 160 absx900 abs # -> NaN Invalid_operation 161 162