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- ------------------------------------------------------------------------
- -- normalize.decTest -- remove trailing zeros --
- -- Copyright (c) IBM Corporation, 2003. 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: 2.39
-
- extended: 1
- precision: 9
- rounding: half_up
- maxExponent: 999
- minexponent: -999
-
- nrmx001 normalize '1' -> '1'
- nrmx002 normalize '-1' -> '-1'
- nrmx003 normalize '1.00' -> '1'
- nrmx004 normalize '-1.00' -> '-1'
- nrmx005 normalize '0' -> '0'
- nrmx006 normalize '0.00' -> '0'
- nrmx007 normalize '00.0' -> '0'
- nrmx008 normalize '00.00' -> '0'
- nrmx009 normalize '00' -> '0'
- nrmx010 normalize '0E+1' -> '0'
- nrmx011 normalize '0E+5' -> '0'
-
- nrmx012 normalize '-2' -> '-2'
- nrmx013 normalize '2' -> '2'
- nrmx014 normalize '-2.00' -> '-2'
- nrmx015 normalize '2.00' -> '2'
- nrmx016 normalize '-0' -> '-0'
- nrmx017 normalize '-0.00' -> '-0'
- nrmx018 normalize '-00.0' -> '-0'
- nrmx019 normalize '-00.00' -> '-0'
- nrmx020 normalize '-00' -> '-0'
- nrmx021 normalize '-0E+5' -> '-0'
- nrmx022 normalize '-0E+1' -> '-0'
-
- nrmx030 normalize '+0.1' -> '0.1'
- nrmx031 normalize '-0.1' -> '-0.1'
- nrmx032 normalize '+0.01' -> '0.01'
- nrmx033 normalize '-0.01' -> '-0.01'
- nrmx034 normalize '+0.001' -> '0.001'
- nrmx035 normalize '-0.001' -> '-0.001'
- nrmx036 normalize '+0.000001' -> '0.000001'
- nrmx037 normalize '-0.000001' -> '-0.000001'
- nrmx038 normalize '+0.000000000001' -> '1E-12'
- nrmx039 normalize '-0.000000000001' -> '-1E-12'
-
- nrmx041 normalize 1.1 -> 1.1
- nrmx042 normalize 1.10 -> 1.1
- nrmx043 normalize 1.100 -> 1.1
- nrmx044 normalize 1.110 -> 1.11
- nrmx045 normalize -1.1 -> -1.1
- nrmx046 normalize -1.10 -> -1.1
- nrmx047 normalize -1.100 -> -1.1
- nrmx048 normalize -1.110 -> -1.11
- nrmx049 normalize 9.9 -> 9.9
- nrmx050 normalize 9.90 -> 9.9
- nrmx051 normalize 9.900 -> 9.9
- nrmx052 normalize 9.990 -> 9.99
- nrmx053 normalize -9.9 -> -9.9
- nrmx054 normalize -9.90 -> -9.9
- nrmx055 normalize -9.900 -> -9.9
- nrmx056 normalize -9.990 -> -9.99
-
- -- some trailing fractional zeros with zeros in units
- nrmx060 normalize 10.0 -> 1E+1
- nrmx061 normalize 10.00 -> 1E+1
- nrmx062 normalize 100.0 -> 1E+2
- nrmx063 normalize 100.00 -> 1E+2
- nrmx064 normalize 1.1000E+3 -> 1.1E+3
- nrmx065 normalize 1.10000E+3 -> 1.1E+3
- nrmx066 normalize -10.0 -> -1E+1
- nrmx067 normalize -10.00 -> -1E+1
- nrmx068 normalize -100.0 -> -1E+2
- nrmx069 normalize -100.00 -> -1E+2
- nrmx070 normalize -1.1000E+3 -> -1.1E+3
- nrmx071 normalize -1.10000E+3 -> -1.1E+3
-
- -- some insignificant trailing zeros with positive exponent
- nrmx080 normalize 10E+1 -> 1E+2
- nrmx081 normalize 100E+1 -> 1E+3
- nrmx082 normalize 1.0E+2 -> 1E+2
- nrmx083 normalize 1.0E+3 -> 1E+3
- nrmx084 normalize 1.1E+3 -> 1.1E+3
- nrmx085 normalize 1.00E+3 -> 1E+3
- nrmx086 normalize 1.10E+3 -> 1.1E+3
- nrmx087 normalize -10E+1 -> -1E+2
- nrmx088 normalize -100E+1 -> -1E+3
- nrmx089 normalize -1.0E+2 -> -1E+2
- nrmx090 normalize -1.0E+3 -> -1E+3
- nrmx091 normalize -1.1E+3 -> -1.1E+3
- nrmx092 normalize -1.00E+3 -> -1E+3
- nrmx093 normalize -1.10E+3 -> -1.1E+3
-
- -- some significant trailing zeros, were we to be trimming
- nrmx100 normalize 11 -> 11
- nrmx101 normalize 10 -> 1E+1
- nrmx102 normalize 10. -> 1E+1
- nrmx103 normalize 1.1E+1 -> 11
- nrmx104 normalize 1.0E+1 -> 1E+1
- nrmx105 normalize 1.10E+2 -> 1.1E+2
- nrmx106 normalize 1.00E+2 -> 1E+2
- nrmx107 normalize 1.100E+3 -> 1.1E+3
- nrmx108 normalize 1.000E+3 -> 1E+3
- nrmx109 normalize 1.000000E+6 -> 1E+6
- nrmx110 normalize -11 -> -11
- nrmx111 normalize -10 -> -1E+1
- nrmx112 normalize -10. -> -1E+1
- nrmx113 normalize -1.1E+1 -> -11
- nrmx114 normalize -1.0E+1 -> -1E+1
- nrmx115 normalize -1.10E+2 -> -1.1E+2
- nrmx116 normalize -1.00E+2 -> -1E+2
- nrmx117 normalize -1.100E+3 -> -1.1E+3
- nrmx118 normalize -1.000E+3 -> -1E+3
- nrmx119 normalize -1.00000E+5 -> -1E+5
- nrmx120 normalize -1.000000E+6 -> -1E+6
- nrmx121 normalize -10.00000E+6 -> -1E+7
- nrmx122 normalize -100.0000E+6 -> -1E+8
- nrmx123 normalize -1000.000E+6 -> -1E+9
- nrmx124 normalize -10000.00E+6 -> -1E+10
- nrmx125 normalize -100000.0E+6 -> -1E+11
- nrmx126 normalize -1000000.E+6 -> -1E+12
-
- -- examples from decArith
- nrmx140 normalize '2.1' -> '2.1'
- nrmx141 normalize '-2.0' -> '-2'
- nrmx142 normalize '1.200' -> '1.2'
- nrmx143 normalize '-120' -> '-1.2E+2'
- nrmx144 normalize '120.00' -> '1.2E+2'
- nrmx145 normalize '0.00' -> '0'
-
- -- overflow tests
- maxexponent: 999999999
- minexponent: -999999999
- precision: 3
- nrmx160 normalize 9.999E+999999999 -> Infinity Inexact Overflow Rounded
- nrmx161 normalize -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
-
- -- subnormals and underflow
- precision: 3
- maxexponent: 999
- minexponent: -999
- nrmx210 normalize 1.00E-999 -> 1E-999
- nrmx211 normalize 0.1E-999 -> 1E-1000 Subnormal
- nrmx212 normalize 0.10E-999 -> 1E-1000 Subnormal
- nrmx213 normalize 0.100E-999 -> 1E-1000 Subnormal Rounded
- nrmx214 normalize 0.01E-999 -> 1E-1001 Subnormal
- -- next is rounded to Emin
- nrmx215 normalize 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow
- nrmx216 normalize 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow
- nrmx217 normalize 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow
- nrmx218 normalize 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow
- nrmx219 normalize 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow
- nrmx220 normalize 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow
-
- nrmx230 normalize -1.00E-999 -> -1E-999
- nrmx231 normalize -0.1E-999 -> -1E-1000 Subnormal
- nrmx232 normalize -0.10E-999 -> -1E-1000 Subnormal
- nrmx233 normalize -0.100E-999 -> -1E-1000 Subnormal Rounded
- nrmx234 normalize -0.01E-999 -> -1E-1001 Subnormal
- -- next is rounded to Emin
- nrmx235 normalize -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow
- nrmx236 normalize -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow
- nrmx237 normalize -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow
- nrmx238 normalize -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow
- nrmx239 normalize -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow
- nrmx240 normalize -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow
-
- -- more reshaping
- precision: 9
- nrmx260 normalize '56260E-10' -> '0.000005626'
- nrmx261 normalize '56260E-5' -> '0.5626'
- nrmx262 normalize '56260E-2' -> '562.6'
- nrmx263 normalize '56260E-1' -> '5626'
- nrmx265 normalize '56260E-0' -> '5.626E+4'
- nrmx266 normalize '56260E+0' -> '5.626E+4'
- nrmx267 normalize '56260E+1' -> '5.626E+5'
- nrmx268 normalize '56260E+2' -> '5.626E+6'
- nrmx269 normalize '56260E+3' -> '5.626E+7'
- nrmx270 normalize '56260E+4' -> '5.626E+8'
- nrmx271 normalize '56260E+5' -> '5.626E+9'
- nrmx272 normalize '56260E+6' -> '5.626E+10'
- nrmx280 normalize '-56260E-10' -> '-0.000005626'
- nrmx281 normalize '-56260E-5' -> '-0.5626'
- nrmx282 normalize '-56260E-2' -> '-562.6'
- nrmx283 normalize '-56260E-1' -> '-5626'
- nrmx285 normalize '-56260E-0' -> '-5.626E+4'
- nrmx286 normalize '-56260E+0' -> '-5.626E+4'
- nrmx287 normalize '-56260E+1' -> '-5.626E+5'
- nrmx288 normalize '-56260E+2' -> '-5.626E+6'
- nrmx289 normalize '-56260E+3' -> '-5.626E+7'
- nrmx290 normalize '-56260E+4' -> '-5.626E+8'
- nrmx291 normalize '-56260E+5' -> '-5.626E+9'
- nrmx292 normalize '-56260E+6' -> '-5.626E+10'
-
-
- -- specials
- nrmx820 normalize 'Inf' -> 'Infinity'
- nrmx821 normalize '-Inf' -> '-Infinity'
- nrmx822 normalize NaN -> NaN
- nrmx823 normalize sNaN -> NaN Invalid_operation
- nrmx824 normalize NaN101 -> NaN101
- nrmx825 normalize sNaN010 -> NaN10 Invalid_operation
- nrmx827 normalize -NaN -> -NaN
- nrmx828 normalize -sNaN -> -NaN Invalid_operation
- nrmx829 normalize -NaN101 -> -NaN101
- nrmx830 normalize -sNaN010 -> -NaN10 Invalid_operation
-
- -- Null test
- nrmx900 normalize # -> NaN Invalid_operation
-