------------------------------------------------------------------------
-- dqBase.decTest -- base decQuad <--> string conversions             --
-- Copyright (c) IBM Corporation, 1981, 2008.  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: 2.59

-- This file tests base conversions from string to a decimal number
-- and back to a string (in Scientific form)

-- Note that unlike other operations the operand is subject to rounding
-- to conform to emax and precision settings (that is, numbers will
-- conform to rules and exponent will be in permitted range).  The
-- 'left hand side', therefore, may have numbers that cannot be
-- represented in a decQuad.  Some testcases go to the limit of the
-- next-wider format, and hence these testcases may also be used to
-- test narrowing and widening operations.

extended:    1
clamp:       1
precision:   34
maxExponent: 6144
minExponent: -6143
rounding:    half_even

dqbas001 toSci       0 -> 0
dqbas002 toSci       1 -> 1
dqbas003 toSci     1.0 -> 1.0
dqbas004 toSci    1.00 -> 1.00
dqbas005 toSci      10 -> 10
dqbas006 toSci    1000 -> 1000
dqbas007 toSci    10.0 -> 10.0
dqbas008 toSci    10.1 -> 10.1
dqbas009 toSci    10.4 -> 10.4
dqbas010 toSci    10.5 -> 10.5
dqbas011 toSci    10.6 -> 10.6
dqbas012 toSci    10.9 -> 10.9
dqbas013 toSci    11.0 -> 11.0
dqbas014 toSci  1.234 -> 1.234
dqbas015 toSci  0.123 -> 0.123
dqbas016 toSci  0.012 -> 0.012
dqbas017 toSci  -0    -> -0
dqbas018 toSci  -0.0  -> -0.0
dqbas019 toSci -00.00 -> -0.00

dqbas021 toSci     -1 -> -1
dqbas022 toSci   -1.0 -> -1.0
dqbas023 toSci   -0.1 -> -0.1
dqbas024 toSci   -9.1 -> -9.1
dqbas025 toSci   -9.11 -> -9.11
dqbas026 toSci   -9.119 -> -9.119
dqbas027 toSci   -9.999 -> -9.999

dqbas030 toSci  '123456789.123456'   -> '123456789.123456'
dqbas031 toSci  '123456789.000000'   -> '123456789.000000'
dqbas032 toSci   '123456789123456'   -> '123456789123456'
dqbas033 toSci   '0.0000123456789'   -> '0.0000123456789'
dqbas034 toSci  '0.00000123456789'   -> '0.00000123456789'
dqbas035 toSci '0.000000123456789'   -> '1.23456789E-7'
dqbas036 toSci '0.0000000123456789'  -> '1.23456789E-8'

dqbas037 toSci '0.123456789012344'   -> '0.123456789012344'
dqbas038 toSci '0.123456789012345'   -> '0.123456789012345'

-- test finite bounds (Negs of, then 0, Ntiny, Nmin, other, Nmax)
dqbsn001 toSci -9.999999999999999999999999999999999E+6144 -> -9.999999999999999999999999999999999E+6144
dqbsn002 toSci -1E-6143 -> -1E-6143
dqbsn003 toSci -1E-6176 -> -1E-6176 Subnormal
dqbsn004 toSci -0 -> -0
dqbsn005 toSci +0 ->  0
dqbsn006 toSci +1E-6176 ->  1E-6176 Subnormal
dqbsn007 toSci +1E-6143 ->  1E-6143
dqbsn008 toSci +9.999999999999999999999999999999999E+6144 ->  9.999999999999999999999999999999999E+6144

-- String [many more examples are implicitly tested elsewhere]
-- strings without E cannot generate E in result
dqbas040 toSci "12"        -> '12'
dqbas041 toSci "-76"       -> '-76'
dqbas042 toSci "12.76"     -> '12.76'
dqbas043 toSci "+12.76"    -> '12.76'
dqbas044 toSci "012.76"    -> '12.76'
dqbas045 toSci "+0.003"    -> '0.003'
dqbas046 toSci "17."       -> '17'
dqbas047 toSci ".5"        -> '0.5'
dqbas048 toSci "044"       -> '44'
dqbas049 toSci "0044"      -> '44'
dqbas050 toSci "0.0005"      -> '0.0005'
dqbas051 toSci "00.00005"    -> '0.00005'
dqbas052 toSci "0.000005"    -> '0.000005'
dqbas053 toSci "0.0000050"   -> '0.0000050'
dqbas054 toSci "0.0000005"   -> '5E-7'
dqbas055 toSci "0.00000005"  -> '5E-8'
dqbas056 toSci "12345678.543210" -> '12345678.543210'
dqbas057 toSci "2345678.543210" -> '2345678.543210'
dqbas058 toSci "345678.543210" -> '345678.543210'
dqbas059 toSci "0345678.54321" -> '345678.54321'
dqbas060 toSci "345678.5432" -> '345678.5432'
dqbas061 toSci "+345678.5432" -> '345678.5432'
dqbas062 toSci "+0345678.5432" -> '345678.5432'
dqbas063 toSci "+00345678.5432" -> '345678.5432'
dqbas064 toSci "-345678.5432"  -> '-345678.5432'
dqbas065 toSci "-0345678.5432"  -> '-345678.5432'
dqbas066 toSci "-00345678.5432"  -> '-345678.5432'
-- examples
dqbas067 toSci "5E-6"        -> '0.000005'
dqbas068 toSci "50E-7"       -> '0.0000050'
dqbas069 toSci "5E-7"        -> '5E-7'

-- [No exotics as no Unicode]

-- rounded with dots in all (including edge) places
dqbas071 toSci  .1234567891234567890123456780123456123  -> 0.1234567891234567890123456780123456 Inexact Rounded
dqbas072 toSci  1.234567891234567890123456780123456123  ->  1.234567891234567890123456780123456 Inexact Rounded
dqbas073 toSci  12.34567891234567890123456780123456123  ->  12.34567891234567890123456780123456 Inexact Rounded
dqbas074 toSci  123.4567891234567890123456780123456123  ->  123.4567891234567890123456780123456 Inexact Rounded
dqbas075 toSci  1234.567891234567890123456780123456123  ->  1234.567891234567890123456780123456 Inexact Rounded
dqbas076 toSci  12345.67891234567890123456780123456123  ->  12345.67891234567890123456780123456 Inexact Rounded
dqbas077 toSci  123456.7891234567890123456780123456123  ->  123456.7891234567890123456780123456 Inexact Rounded
dqbas078 toSci  1234567.891234567890123456780123456123  ->  1234567.891234567890123456780123456 Inexact Rounded
dqbas079 toSci  12345678.91234567890123456780123456123  ->  12345678.91234567890123456780123456 Inexact Rounded
dqbas080 toSci  123456789.1234567890123456780123456123  ->  123456789.1234567890123456780123456 Inexact Rounded
dqbas081 toSci  1234567891.234567890123456780123456123  ->  1234567891.234567890123456780123456 Inexact Rounded
dqbas082 toSci  12345678912.34567890123456780123456123  ->  12345678912.34567890123456780123456 Inexact Rounded
dqbas083 toSci  123456789123.4567890123456780123456123  ->  123456789123.4567890123456780123456 Inexact Rounded
dqbas084 toSci  1234567891234.567890123456780123456123  ->  1234567891234.567890123456780123456 Inexact Rounded
dqbas085 toSci  12345678912345.67890123456780123456123  ->  12345678912345.67890123456780123456 Inexact Rounded
dqbas086 toSci  123456789123456.7890123456780123456123  ->  123456789123456.7890123456780123456 Inexact Rounded
dqbas087 toSci  1234567891234567.890123456780123456123  ->  1234567891234567.890123456780123456 Inexact Rounded
dqbas088 toSci  12345678912345678.90123456780123456123  ->  12345678912345678.90123456780123456 Inexact Rounded
dqbas089 toSci  123456789123456789.0123456780123456123  ->  123456789123456789.0123456780123456 Inexact Rounded
dqbas090 toSci  1234567891234567890.123456780123456123  ->  1234567891234567890.123456780123456 Inexact Rounded
dqbas091 toSci  12345678912345678901.23456780123456123  ->  12345678912345678901.23456780123456 Inexact Rounded
dqbas092 toSci  123456789123456789012.3456780123456123  ->  123456789123456789012.3456780123456 Inexact Rounded
dqbas093 toSci  1234567891234567890123.456780123456123  ->  1234567891234567890123.456780123456 Inexact Rounded
dqbas094 toSci  12345678912345678901234.56780123456123  ->  12345678912345678901234.56780123456 Inexact Rounded
dqbas095 toSci  123456789123456789012345.6780123456123  ->  123456789123456789012345.6780123456 Inexact Rounded
dqbas096 toSci  1234567891234567890123456.780123456123  ->  1234567891234567890123456.780123456 Inexact Rounded
dqbas097 toSci  12345678912345678901234567.80123456123  ->  12345678912345678901234567.80123456 Inexact Rounded
dqbas098 toSci  123456789123456789012345678.0123456123  ->  123456789123456789012345678.0123456 Inexact Rounded
dqbas099 toSci  1234567891234567890123456780.123456123  ->  1234567891234567890123456780.123456 Inexact Rounded
dqbas100 toSci  12345678912345678901234567801.23456123  ->  12345678912345678901234567801.23456 Inexact Rounded
dqbas101 toSci  123456789123456789012345678012.3456123  ->  123456789123456789012345678012.3456 Inexact Rounded
dqbas102 toSci  1234567891234567890123456780123.456123  ->  1234567891234567890123456780123.456 Inexact Rounded
dqbas103 toSci  12345678912345678901234567801234.56123  ->  12345678912345678901234567801234.56 Inexact Rounded
dqbas104 toSci  123456789123456789012345678012345.6123  ->  123456789123456789012345678012345.6 Inexact Rounded
dqbas105 toSci  1234567891234567890123456780123456.123  ->  1234567891234567890123456780123456  Inexact Rounded
dqbas106 toSci  12345678912345678901234567801234561.23  ->  1.234567891234567890123456780123456E+34 Inexact Rounded
dqbas107 toSci  123456789123456789012345678012345612.3  ->  1.234567891234567890123456780123456E+35 Inexact Rounded
dqbas108 toSci  1234567891234567890123456780123456123.  ->  1.234567891234567890123456780123456E+36 Inexact Rounded
-- 123456789012345678

-- Numbers with E
dqbas130 toSci "0.000E-1"  -> '0.0000'
dqbas131 toSci "0.000E-2"  -> '0.00000'
dqbas132 toSci "0.000E-3"  -> '0.000000'
dqbas133 toSci "0.000E-4"  -> '0E-7'
dqbas134 toSci "0.00E-2"   -> '0.0000'
dqbas135 toSci "0.00E-3"   -> '0.00000'
dqbas136 toSci "0.00E-4"   -> '0.000000'
dqbas137 toSci "0.00E-5"   -> '0E-7'
dqbas138 toSci "+0E+9"     -> '0E+9'
dqbas139 toSci "-0E+9"     -> '-0E+9'
dqbas140 toSci "1E+9"      -> '1E+9'
dqbas141 toSci "1e+09"     -> '1E+9'
dqbas142 toSci "1E+90"     -> '1E+90'
dqbas143 toSci "+1E+009"   -> '1E+9'
dqbas144 toSci "0E+9"      -> '0E+9'
dqbas145 toSci "1E+9"      -> '1E+9'
dqbas146 toSci "1E+09"     -> '1E+9'
dqbas147 toSci "1e+90"     -> '1E+90'
dqbas148 toSci "1E+009"    -> '1E+9'
dqbas149 toSci "000E+9"    -> '0E+9'
dqbas150 toSci "1E9"       -> '1E+9'
dqbas151 toSci "1e09"      -> '1E+9'
dqbas152 toSci "1E90"      -> '1E+90'
dqbas153 toSci "1E009"     -> '1E+9'
dqbas154 toSci "0E9"       -> '0E+9'
dqbas155 toSci "0.000e+0"  -> '0.000'
dqbas156 toSci "0.000E-1"  -> '0.0000'
dqbas157 toSci "4E+9"      -> '4E+9'
dqbas158 toSci "44E+9"     -> '4.4E+10'
dqbas159 toSci "0.73e-7"   -> '7.3E-8'
dqbas160 toSci "00E+9"     -> '0E+9'
dqbas161 toSci "00E-9"     -> '0E-9'
dqbas162 toSci "10E+9"     -> '1.0E+10'
dqbas163 toSci "10E+09"    -> '1.0E+10'
dqbas164 toSci "10e+90"    -> '1.0E+91'
dqbas165 toSci "10E+009"   -> '1.0E+10'
dqbas166 toSci "100e+9"    -> '1.00E+11'
dqbas167 toSci "100e+09"   -> '1.00E+11'
dqbas168 toSci "100E+90"   -> '1.00E+92'
dqbas169 toSci "100e+009"  -> '1.00E+11'

dqbas170 toSci "1.265"     -> '1.265'
dqbas171 toSci "1.265E-20" -> '1.265E-20'
dqbas172 toSci "1.265E-8"  -> '1.265E-8'
dqbas173 toSci "1.265E-4"  -> '0.0001265'
dqbas174 toSci "1.265E-3"  -> '0.001265'
dqbas175 toSci "1.265E-2"  -> '0.01265'
dqbas176 toSci "1.265E-1"  -> '0.1265'
dqbas177 toSci "1.265E-0"  -> '1.265'
dqbas178 toSci "1.265E+1"  -> '12.65'
dqbas179 toSci "1.265E+2"  -> '126.5'
dqbas180 toSci "1.265E+3"  -> '1265'
dqbas181 toSci "1.265E+4"  -> '1.265E+4'
dqbas182 toSci "1.265E+8"  -> '1.265E+8'
dqbas183 toSci "1.265E+20" -> '1.265E+20'

dqbas190 toSci "12.65"     -> '12.65'
dqbas191 toSci "12.65E-20" -> '1.265E-19'
dqbas192 toSci "12.65E-8"  -> '1.265E-7'
dqbas193 toSci "12.65E-4"  -> '0.001265'
dqbas194 toSci "12.65E-3"  -> '0.01265'
dqbas195 toSci "12.65E-2"  -> '0.1265'
dqbas196 toSci "12.65E-1"  -> '1.265'
dqbas197 toSci "12.65E-0"  -> '12.65'
dqbas198 toSci "12.65E+1"  -> '126.5'
dqbas199 toSci "12.65E+2"  -> '1265'
dqbas200 toSci "12.65E+3"  -> '1.265E+4'
dqbas201 toSci "12.65E+4"  -> '1.265E+5'
dqbas202 toSci "12.65E+8"  -> '1.265E+9'
dqbas203 toSci "12.65E+20" -> '1.265E+21'

dqbas210 toSci "126.5"     -> '126.5'
dqbas211 toSci "126.5E-20" -> '1.265E-18'
dqbas212 toSci "126.5E-8"  -> '0.000001265'
dqbas213 toSci "126.5E-4"  -> '0.01265'
dqbas214 toSci "126.5E-3"  -> '0.1265'
dqbas215 toSci "126.5E-2"  -> '1.265'
dqbas216 toSci "126.5E-1"  -> '12.65'
dqbas217 toSci "126.5E-0"  -> '126.5'
dqbas218 toSci "126.5E+1"  -> '1265'
dqbas219 toSci "126.5E+2"  -> '1.265E+4'
dqbas220 toSci "126.5E+3"  -> '1.265E+5'
dqbas221 toSci "126.5E+4"  -> '1.265E+6'
dqbas222 toSci "126.5E+8"  -> '1.265E+10'
dqbas223 toSci "126.5E+20" -> '1.265E+22'

dqbas230 toSci "1265"     -> '1265'
dqbas231 toSci "1265E-20" -> '1.265E-17'
dqbas232 toSci "1265E-8"  -> '0.00001265'
dqbas233 toSci "1265E-4"  -> '0.1265'
dqbas234 toSci "1265E-3"  -> '1.265'
dqbas235 toSci "1265E-2"  -> '12.65'
dqbas236 toSci "1265E-1"  -> '126.5'
dqbas237 toSci "1265E-0"  -> '1265'
dqbas238 toSci "1265E+1"  -> '1.265E+4'
dqbas239 toSci "1265E+2"  -> '1.265E+5'
dqbas240 toSci "1265E+3"  -> '1.265E+6'
dqbas241 toSci "1265E+4"  -> '1.265E+7'
dqbas242 toSci "1265E+8"  -> '1.265E+11'
dqbas243 toSci "1265E+20" -> '1.265E+23'

dqbas250 toSci "0.1265"     -> '0.1265'
dqbas251 toSci "0.1265E-20" -> '1.265E-21'
dqbas252 toSci "0.1265E-8"  -> '1.265E-9'
dqbas253 toSci "0.1265E-4"  -> '0.00001265'
dqbas254 toSci "0.1265E-3"  -> '0.0001265'
dqbas255 toSci "0.1265E-2"  -> '0.001265'
dqbas256 toSci "0.1265E-1"  -> '0.01265'
dqbas257 toSci "0.1265E-0"  -> '0.1265'
dqbas258 toSci "0.1265E+1"  -> '1.265'
dqbas259 toSci "0.1265E+2"  -> '12.65'
dqbas260 toSci "0.1265E+3"  -> '126.5'
dqbas261 toSci "0.1265E+4"  -> '1265'
dqbas262 toSci "0.1265E+8"  -> '1.265E+7'
dqbas263 toSci "0.1265E+20" -> '1.265E+19'

-- some more negative zeros [systematic tests below]
dqbas290 toSci "-0.000E-1"  -> '-0.0000'
dqbas291 toSci "-0.000E-2"  -> '-0.00000'
dqbas292 toSci "-0.000E-3"  -> '-0.000000'
dqbas293 toSci "-0.000E-4"  -> '-0E-7'
dqbas294 toSci "-0.00E-2"   -> '-0.0000'
dqbas295 toSci "-0.00E-3"   -> '-0.00000'
dqbas296 toSci "-0.0E-2"    -> '-0.000'
dqbas297 toSci "-0.0E-3"    -> '-0.0000'
dqbas298 toSci "-0E-2"      -> '-0.00'
dqbas299 toSci "-0E-3"      -> '-0.000'

-- Engineering notation tests
dqbas301  toSci 10e12  -> 1.0E+13
dqbas302  toEng 10e12  -> 10E+12
dqbas303  toSci 10e11  -> 1.0E+12
dqbas304  toEng 10e11  -> 1.0E+12
dqbas305  toSci 10e10  -> 1.0E+11
dqbas306  toEng 10e10  -> 100E+9
dqbas307  toSci 10e9   -> 1.0E+10
dqbas308  toEng 10e9   -> 10E+9
dqbas309  toSci 10e8   -> 1.0E+9
dqbas310  toEng 10e8   -> 1.0E+9
dqbas311  toSci 10e7   -> 1.0E+8
dqbas312  toEng 10e7   -> 100E+6
dqbas313  toSci 10e6   -> 1.0E+7
dqbas314  toEng 10e6   -> 10E+6
dqbas315  toSci 10e5   -> 1.0E+6
dqbas316  toEng 10e5   -> 1.0E+6
dqbas317  toSci 10e4   -> 1.0E+5
dqbas318  toEng 10e4   -> 100E+3
dqbas319  toSci 10e3   -> 1.0E+4
dqbas320  toEng 10e3   -> 10E+3
dqbas321  toSci 10e2   -> 1.0E+3
dqbas322  toEng 10e2   -> 1.0E+3
dqbas323  toSci 10e1   -> 1.0E+2
dqbas324  toEng 10e1   -> 100
dqbas325  toSci 10e0   -> 10
dqbas326  toEng 10e0   -> 10
dqbas327  toSci 10e-1  -> 1.0
dqbas328  toEng 10e-1  -> 1.0
dqbas329  toSci 10e-2  -> 0.10
dqbas330  toEng 10e-2  -> 0.10
dqbas331  toSci 10e-3  -> 0.010
dqbas332  toEng 10e-3  -> 0.010
dqbas333  toSci 10e-4  -> 0.0010
dqbas334  toEng 10e-4  -> 0.0010
dqbas335  toSci 10e-5  -> 0.00010
dqbas336  toEng 10e-5  -> 0.00010
dqbas337  toSci 10e-6  -> 0.000010
dqbas338  toEng 10e-6  -> 0.000010
dqbas339  toSci 10e-7  -> 0.0000010
dqbas340  toEng 10e-7  -> 0.0000010
dqbas341  toSci 10e-8  -> 1.0E-7
dqbas342  toEng 10e-8  -> 100E-9
dqbas343  toSci 10e-9  -> 1.0E-8
dqbas344  toEng 10e-9  -> 10E-9
dqbas345  toSci 10e-10 -> 1.0E-9
dqbas346  toEng 10e-10 -> 1.0E-9
dqbas347  toSci 10e-11 -> 1.0E-10
dqbas348  toEng 10e-11 -> 100E-12
dqbas349  toSci 10e-12 -> 1.0E-11
dqbas350  toEng 10e-12 -> 10E-12