예제 #1
0
 public static void TestStringEqualRoundTrip(EDecimal obj) {
   string str = obj.ToString();
   EDecimal newobj = EDecimal.FromString(str);
   string str2 = newobj.ToString();
   TestCommon.AssertEqualsHashCode(obj, newobj);
   TestCommon.AssertEqualsHashCode(str, str2);
 }
예제 #2
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        /// <summary>Converts this value to a <c>decimal</c> under the Common
        /// Language Infrastructure (usually a.NET Framework decimal).
        /// Currently, converts this value to the precision and range of a.NET
        /// Framework decimal.</summary>
        /// <returns>A <c>decimal</c> under the Common Language Infrastructure
        /// (usually a.NET Framework decimal).</returns>
        public decimal ToDecimal()
        {
            ERational extendedNumber = this;

            if (extendedNumber.IsInfinity() || extendedNumber.IsNaN())
            {
                throw new OverflowException("This object's value is out of range");
            }
            try {
                EDecimal newDecimal = EDecimal.FromEInteger(extendedNumber.Numerator)
                                      .Divide(
                    EDecimal.FromEInteger(extendedNumber.Denominator),
                    EContext.CliDecimal.WithTraps(EContext.FlagOverflow));
                return((decimal)newDecimal);
            } catch (ETrapException ex) {
                throw new OverflowException("This object's value is out of range", ex);
            }
        }
예제 #3
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        private decimal ToDecimal()
        {
            EDecimal extendedNumber = this;

            if (extendedNumber.IsInfinity() || extendedNumber.IsNaN())
            {
                throw new OverflowException("This object's value is out of range");
            }
            decimal ret;

            if (
                Decimal.TryParse(
                    this.ToString(),
                    System.Globalization.NumberStyles.Number,
                    System.Globalization.CultureInfo.InvariantCulture,
                    out ret))
            {
                return(ret);
            }
            throw new OverflowException("This object's value is out of range");
        }
예제 #4
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        internal static EFloat FromString(
            string chars,
            int offset,
            int length,
            EContext ctx,
            bool throwException)
        {
            if (chars == null)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new ArgumentNullException(nameof(chars));
                }
            }
            if (offset < 0)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException("offset(" + offset + ") is not" +
                                              "\u0020greater" + "\u0020or equal to 0");
                }
            }
            if (offset > chars.Length)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException("offset(" + offset + ") is not" +
                                              "\u0020less" + "\u0020or" + "\u0020equal to " + chars.Length);
                }
            }
            if (length < 0)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException("length(" + length + ") is not" +
                                              "\u0020greater or" + "\u0020equal to 0");
                }
            }
            if (length > chars.Length)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException("length(" + length + ") is not" +
                                              "\u0020less" + "\u0020or" + "\u0020equal to " + chars.Length);
                }
            }
            if (chars.Length - offset < length)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException("str's length minus " + offset + "(" +
                                              (chars.Length - offset) + ") is not greater or equal to " + length);
                }
            }
            EContext b64 = EContext.Binary64;

            if (ctx != null && ctx.HasMaxPrecision && ctx.HasExponentRange &&
                !ctx.IsSimplified && ctx.EMax.CompareTo(b64.EMax) <= 0 &&
                ctx.EMin.CompareTo(b64.EMin) >= 0 &&
                ctx.Precision.CompareTo(b64.Precision) <= 0)
            {
                int tmpoffset = offset;
                int endpos    = offset + length;
                if (length == 0)
                {
                    if (!throwException)
                    {
                        return(null);
                    }
                    else
                    {
                        throw new FormatException();
                    }
                }
                if (chars[tmpoffset] == '-' || chars[tmpoffset] == '+')
                {
                    ++tmpoffset;
                }
                if (tmpoffset < endpos && ((chars[tmpoffset] >= '0' &&
                                            chars[tmpoffset] <= '9') || chars[tmpoffset] == '.'))
                {
                    EFloat ef = DoubleEFloatFromString(
                        chars,
                        offset,
                        length,
                        ctx,
                        throwException);
                    if (ef != null)
                    {
                        return(ef);
                    }
                }
            }
            return(EDecimal.FromString(
                       chars,
                       offset,
                       length,
                       EContext.Unlimited.WithSimplified(ctx != null && ctx.IsSimplified))
                   .ToEFloat(ctx));
        }
예제 #5
0
        internal static EFloat DoubleEFloatFromString(
            string chars,
            int offset,
            int length,
            EContext ctx,
            bool throwException)
        {
            int tmpoffset = offset;

            if (chars == null)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new ArgumentNullException(nameof(chars));
                }
            }
            if (length == 0)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException();
                }
            }
            int  endStr           = tmpoffset + length;
            var  negative         = false;
            var  haveDecimalPoint = false;
            var  haveDigits       = false;
            var  haveExponent     = false;
            var  newScaleInt      = 0;
            var  digitStart       = 0;
            int  i            = tmpoffset;
            long mantissaLong = 0L;

            // Ordinary number
            if (chars[i] == '+' || chars[i] == '-')
            {
                if (chars[i] == '-')
                {
                    negative = true;
                }
                ++i;
            }
            digitStart = i;
            int digitEnd          = i;
            int decimalDigitStart = i;
            var haveNonzeroDigit  = false;
            var decimalPrec       = 0;
            int decimalDigitEnd   = i;
            var nonzeroBeyondMax  = false;
            var lastdigit         = -1;
            // 768 is maximum precision of a decimal
            // half-ULP in double format
            var maxDecimalPrec = 768;

            if (length > 21)
            {
                int eminInt = ctx.EMin.ToInt32Checked();
                int emaxInt = ctx.EMax.ToInt32Checked();
                int precInt = ctx.Precision.ToInt32Checked();
                if (eminInt >= -14 && emaxInt <= 15)
                {
                    maxDecimalPrec = (precInt <= 11) ? 21 : 63;
                }
                else if (eminInt >= -126 && emaxInt <= 127)
                {
                    maxDecimalPrec = (precInt <= 24) ? 113 : 142;
                }
            }
            for (; i < endStr; ++i)
            {
                char ch = chars[i];
                if (ch >= '0' && ch <= '9')
                {
                    var thisdigit = (int)(ch - '0');
                    haveDigits        = true;
                    haveNonzeroDigit |= thisdigit != 0;
                    if (decimalPrec > maxDecimalPrec)
                    {
                        if (thisdigit != 0)
                        {
                            nonzeroBeyondMax = true;
                        }
                        if (!haveDecimalPoint)
                        {
                            // NOTE: Absolute value will not be more than
                            // the string portion's length, so will fit comfortably
                            // in an 'int'.
                            newScaleInt = checked (newScaleInt + 1);
                        }
                        continue;
                    }
                    lastdigit = thisdigit;
                    if (haveNonzeroDigit)
                    {
                        ++decimalPrec;
                    }
                    if (haveDecimalPoint)
                    {
                        decimalDigitEnd = i + 1;
                    }
                    else
                    {
                        digitEnd = i + 1;
                    }
                    if (mantissaLong <= 922337203685477580L)
                    {
                        mantissaLong *= 10;
                        mantissaLong += thisdigit;
                    }
                    else
                    {
                        mantissaLong = Int64.MaxValue;
                    }
                    if (haveDecimalPoint)
                    {
                        // NOTE: Absolute value will not be more than
                        // the portion's length, so will fit comfortably
                        // in an 'int'.
                        newScaleInt = checked (newScaleInt - 1);
                    }
                }
                else if (ch == '.')
                {
                    if (haveDecimalPoint)
                    {
                        if (!throwException)
                        {
                            return(null);
                        }
                        else
                        {
                            throw new FormatException();
                        }
                    }
                    haveDecimalPoint  = true;
                    decimalDigitStart = i + 1;
                    decimalDigitEnd   = i + 1;
                }
                else if (ch == 'E' || ch == 'e')
                {
                    haveExponent = true;
                    ++i;
                    break;
                }
                else
                {
                    if (!throwException)
                    {
                        return(null);
                    }
                    else
                    {
                        throw new FormatException();
                    }
                }
            }
            if (!haveDigits)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException();
                }
            }
            var  expInt        = 0;
            var  expoffset     = 1;
            var  expDigitStart = -1;
            var  expPrec       = 0;
            bool zeroMantissa  = !haveNonzeroDigit;

            haveNonzeroDigit = false;
            EFloat ef1, ef2;

            if (haveExponent)
            {
                haveDigits = false;
                if (i == endStr)
                {
                    if (!throwException)
                    {
                        return(null);
                    }
                    else
                    {
                        throw new FormatException();
                    }
                }
                char ch = chars[i];
                if (ch == '+' || ch == '-')
                {
                    if (ch == '-')
                    {
                        expoffset = -1;
                    }
                    ++i;
                }
                expDigitStart = i;
                for (; i < endStr; ++i)
                {
                    ch = chars[i];
                    if (ch >= '0' && ch <= '9')
                    {
                        haveDigits = true;
                        var thisdigit = (int)(ch - '0');
                        haveNonzeroDigit |= thisdigit != 0;
                        if (haveNonzeroDigit)
                        {
                            ++expPrec;
                        }
                        if (expInt <= 214748364)
                        {
                            expInt *= 10;
                            expInt += thisdigit;
                        }
                        else
                        {
                            expInt = Int32.MaxValue;
                        }
                    }
                    else
                    {
                        if (!throwException)
                        {
                            return(null);
                        }
                        else
                        {
                            throw new FormatException();
                        }
                    }
                }
                if (!haveDigits)
                {
                    if (!throwException)
                    {
                        return(null);
                    }
                    else
                    {
                        throw new FormatException();
                    }
                }
                expInt *= expoffset;
                if (expPrec > 12)
                {
                    // Exponent that can't be compensated by digit
                    // length without remaining beyond Int32 range
                    if (expoffset < 0)
                    {
                        return(EFloat.SignalUnderflow(ctx, negative, zeroMantissa));
                    }
                    else
                    {
                        return(EFloat.SignalOverflow(ctx, negative, zeroMantissa));
                    }
                }
            }
            if (i != endStr)
            {
                if (!throwException)
                {
                    return(null);
                }
                else
                {
                    throw new FormatException();
                }
            }
            if (expInt != Int32.MaxValue && expInt > -Int32.MaxValue &&
                mantissaLong != Int64.MaxValue && (ctx == null ||
                                                   !ctx.HasFlagsOrTraps))
            {
                if (mantissaLong == 0)
                {
                    EFloat ef = EFloat.Create(
                        EInteger.Zero,
                        EInteger.FromInt32(expInt));
                    if (negative)
                    {
                        ef = ef.Negate();
                    }
                    return(ef.RoundToPrecision(ctx));
                }
                var  finalexp = (long)expInt + (long)newScaleInt;
                long ml       = mantissaLong;
                if (finalexp >= -22 && finalexp <= 44)
                {
                    var iexp = (int)finalexp;
                    while (ml <= 900719925474099L && iexp > 22)
                    {
                        ml *= 10;
                        --iexp;
                    }
                    int iabsexp = Math.Abs(iexp);
                    if (ml < 9007199254740992L && iabsexp == 0)
                    {
                        return(EFloat.FromInt64(negative ?
                                                -mantissaLong : mantissaLong).RoundToPrecision(ctx));
                    }
                    else if (ml < 9007199254740992L && iabsexp <= 22)
                    {
                        EFloat efn =
                            EFloat.FromEInteger(NumberUtility.FindPowerOfTen(iabsexp));
                        if (negative)
                        {
                            ml = -ml;
                        }
                        EFloat efml = EFloat.FromInt64(ml);
                        if (iexp < 0)
                        {
                            return(efml.Divide(efn, ctx));
                        }
                        else
                        {
                            return(efml.Multiply(efn, ctx));
                        }
                    }
                }
                long adjexpUpperBound = finalexp + (decimalPrec - 1);
                long adjexpLowerBound = finalexp;
                if (adjexpUpperBound < -326)
                {
                    return(EFloat.SignalUnderflow(ctx, negative, zeroMantissa));
                }
                else if (adjexpLowerBound > 309)
                {
                    return(EFloat.SignalOverflow(ctx, negative, zeroMantissa));
                }
                if (negative)
                {
                    mantissaLong = -mantissaLong;
                }
                long absfinalexp = Math.Abs(finalexp);
                ef1 = EFloat.Create(mantissaLong, (int)0);
                ef2 = EFloat.FromEInteger(NumberUtility.FindPowerOfTen(absfinalexp));
                if (finalexp < 0)
                {
                    EFloat efret = ef1.Divide(ef2, ctx);

                    /* Console.WriteLine("div " + ef1 + "/" + ef2 + " -> " + (efret));
                     */return(efret);
                }
                else
                {
                    return(ef1.Multiply(ef2, ctx));
                }
            }
            EInteger mant = null;
            EInteger exp  = (!haveExponent) ? EInteger.Zero :
                            EInteger.FromSubstring(chars, expDigitStart, endStr);

            if (expoffset < 0)
            {
                exp = exp.Negate();
            }
            exp = exp.Add(newScaleInt);
            if (nonzeroBeyondMax)
            {
                exp = exp.Subtract(1);
                ++decimalPrec;
            }
            EInteger adjExpUpperBound = exp.Add(decimalPrec).Subtract(1);
            EInteger adjExpLowerBound = exp;

            // DebugUtility.Log("exp=" + adjExpLowerBound + "~" + (adjExpUpperBound));
            if (adjExpUpperBound.CompareTo(-326) < 0)
            {
                return(EFloat.SignalUnderflow(ctx, negative, zeroMantissa));
            }
            else if (adjExpLowerBound.CompareTo(309) > 0)
            {
                return(EFloat.SignalOverflow(ctx, negative, zeroMantissa));
            }
            if (zeroMantissa)
            {
                EFloat ef = EFloat.Create(
                    EInteger.Zero,
                    exp);
                if (negative)
                {
                    ef = ef.Negate();
                }
                return(ef.RoundToPrecision(ctx));
            }
            else if (decimalDigitStart != decimalDigitEnd)
            {
                if (digitEnd - digitStart == 1 && chars[digitStart] == '0')
                {
                    mant = EInteger.FromSubstring(
                        chars,
                        decimalDigitStart,
                        decimalDigitEnd);
                }
                else
                {
                    string ctmpstr = Extras.CharsConcat(
                        chars,
                        digitStart,
                        digitEnd - digitStart,
                        chars,
                        decimalDigitStart,
                        decimalDigitEnd - decimalDigitStart);
                    mant = EInteger.FromString(ctmpstr);
                }
            }
            else
            {
                mant = EInteger.FromSubstring(chars, digitStart, digitEnd);
            }
            if (nonzeroBeyondMax)
            {
                mant = mant.Multiply(10).Add(1);
            }
            if (negative)
            {
                mant = mant.Negate();
            }
            return(EDecimal.Create(mant, exp).ToEFloat(ctx));
        }
 /// <summary>Converts a <c>decimal</c> under the Common Language
 /// Infrastructure (usually a.NET Framework decimal) to a rational
 /// number.</summary>
 /// <param name='eint'>The number to convert as a <c>decimal</c> under
 /// the Common Language Infrastructure (usually a.NET Framework
 /// decimal).</param>
 /// <returns>An arbitrary-precision rational number.</returns>
 public static ERational FromDecimal(decimal eint)
 {
     return(FromEDecimal(EDecimal.FromDecimal(eint)));
 }
예제 #7
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        /// <include file='../../docs.xml'
        /// path='docs/doc[@name="M:PeterO.Numbers.EDecimal.FromDecimal(System.Decimal)"]/*'/>
        public static EDecimal FromDecimal(decimal dec)
        {
            return

                (EDecimal.FromString(dec.ToString(System.Globalization.CultureInfo.InvariantCulture)));
        }
예제 #8
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   private static decimal ExtendedDecimalToDecimal(EDecimal
 extendedNumber)
   {
       return (decimal)extendedNumber;
   }
예제 #9
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 private static EDecimal[] MakeUlpTable() {
   var edecarr = new EDecimal[2048];
   for (int i = 0; i < 2048; ++i) {
     edecarr[i] = EFloat.Create(1, i - 1075).ToEDecimal();
   }
   return edecarr;
 }
예제 #10
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 public static ExtendedDecimal ToLegacy(EDecimal ed) {
   return ExtendedDecimal.ToLegacy(ed);
 }