| ------------------------------------------------------------------------ |
| -- 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 |