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     27 
     28 #ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_
     29 #define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_
     30 
     31 #include "wtf/dtoa/utils.h"
     32 
     33 namespace WTF {
     34 
     35 namespace double_conversion {
     36 
     37     class DoubleToStringConverter {
     38     public:
     39         // When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint
     40         // or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the
     41         // function returns false.
     42         static const int kMaxFixedDigitsBeforePoint = 60;
     43         static const int kMaxFixedDigitsAfterPoint = 60;
     44 
     45         // When calling ToExponential with a requested_digits
     46         // parameter > kMaxExponentialDigits then the function returns false.
     47         static const int kMaxExponentialDigits = 120;
     48 
     49         // When calling ToPrecision with a requested_digits
     50         // parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDigits
     51         // then the function returns false.
     52         static const int kMinPrecisionDigits = 1;
     53         static const int kMaxPrecisionDigits = 120;
     54 
     55         enum Flags {
     56             NO_FLAGS = 0,
     57             EMIT_POSITIVE_EXPONENT_SIGN = 1,
     58             EMIT_TRAILING_DECIMAL_POINT = 2,
     59             EMIT_TRAILING_ZERO_AFTER_POINT = 4,
     60             UNIQUE_ZERO = 8
     61         };
     62 
     63         // Flags should be a bit-or combination of the possible Flags-enum.
     64         //  - NO_FLAGS: no special flags.
     65         //  - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exponent
     66         //    form, emits a '+' for positive exponents. Example: 1.2e+2.
     67         //  - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer and is
     68         //    converted into decimal format then a trailing decimal point is appended.
     69         //    Example: 2345.0 is converted to "2345.".
     70         //  - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal point
     71         //    emits a trailing '0'-character. This flag requires the
     72         //    EXMIT_TRAILING_DECIMAL_POINT flag.
     73         //    Example: 2345.0 is converted to "2345.0".
     74         //  - UNIQUE_ZERO: "-0.0" is converted to "0.0".
     75         //
     76         // Infinity symbol and nan_symbol provide the string representation for these
     77         // special values. If the string is NULL and the special value is encountered
     78         // then the conversion functions return false.
     79         //
     80         // The exponent_character is used in exponential representations. It is
     81         // usually 'e' or 'E'.
     82         //
     83         // When converting to the shortest representation the converter will
     84         // represent input numbers in decimal format if they are in the interval
     85         // [10^decimal_in_shortest_low; 10^decimal_in_shortest_high[
     86         //    (lower boundary included, greater boundary excluded).
     87         // Example: with decimal_in_shortest_low = -6 and
     88         //               decimal_in_shortest_high = 21:
     89         //   ToShortest(0.000001)  -> "0.000001"
     90         //   ToShortest(0.0000001) -> "1e-7"
     91         //   ToShortest(111111111111111111111.0)  -> "111111111111111110000"
     92         //   ToShortest(100000000000000000000.0)  -> "100000000000000000000"
     93         //   ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21"
     94         //
     95         // When converting to precision mode the converter may add
     96         // max_leading_padding_zeroes before returning the number in exponential
     97         // format.
     98         // Example with max_leading_padding_zeroes_in_precision_mode = 6.
     99         //   ToPrecision(0.0000012345, 2) -> "0.0000012"
    100         //   ToPrecision(0.00000012345, 2) -> "1.2e-7"
    101         // Similarily the converter may add up to
    102         // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid
    103         // returning an exponential representation. A zero added by the
    104         // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit.
    105         // Examples for max_trailing_padding_zeroes_in_precision_mode = 1:
    106         //   ToPrecision(230.0, 2) -> "230"
    107         //   ToPrecision(230.0, 2) -> "230."  with EMIT_TRAILING_DECIMAL_POINT.
    108         //   ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT.
    109         DoubleToStringConverter(int flags,
    110                                 const char* infinity_symbol,
    111                                 const char* nan_symbol,
    112                                 char exponent_character,
    113                                 int decimal_in_shortest_low,
    114                                 int decimal_in_shortest_high,
    115                                 int max_leading_padding_zeroes_in_precision_mode,
    116                                 int max_trailing_padding_zeroes_in_precision_mode)
    117         : flags_(flags),
    118         infinity_symbol_(infinity_symbol),
    119         nan_symbol_(nan_symbol),
    120         exponent_character_(exponent_character),
    121         decimal_in_shortest_low_(decimal_in_shortest_low),
    122         decimal_in_shortest_high_(decimal_in_shortest_high),
    123         max_leading_padding_zeroes_in_precision_mode_(
    124                                                       max_leading_padding_zeroes_in_precision_mode),
    125         max_trailing_padding_zeroes_in_precision_mode_(
    126                                                        max_trailing_padding_zeroes_in_precision_mode) {
    127             // When 'trailing zero after the point' is set, then 'trailing point'
    128             // must be set too.
    129             ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) ||
    130                    !((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0));
    131         }
    132 
    133         // Returns a converter following the EcmaScript specification.
    134         static const DoubleToStringConverter& EcmaScriptConverter();
    135 
    136         // Computes the shortest string of digits that correctly represent the input
    137         // number. Depending on decimal_in_shortest_low and decimal_in_shortest_high
    138         // (see constructor) it then either returns a decimal representation, or an
    139         // exponential representation.
    140         // Example with decimal_in_shortest_low = -6,
    141         //              decimal_in_shortest_high = 21,
    142         //              EMIT_POSITIVE_EXPONENT_SIGN activated, and
    143         //              EMIT_TRAILING_DECIMAL_POINT deactived:
    144         //   ToShortest(0.000001)  -> "0.000001"
    145         //   ToShortest(0.0000001) -> "1e-7"
    146         //   ToShortest(111111111111111111111.0)  -> "111111111111111110000"
    147         //   ToShortest(100000000000000000000.0)  -> "100000000000000000000"
    148         //   ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21"
    149         //
    150         // Note: the conversion may round the output if the returned string
    151         // is accurate enough to uniquely identify the input-number.
    152         // For example the most precise representation of the double 9e59 equals
    153         // "899999999999999918767229449717619953810131273674690656206848", but
    154         // the converter will return the shorter (but still correct) "9e59".
    155         //
    156         // Returns true if the conversion succeeds. The conversion always succeeds
    157         // except when the input value is special and no infinity_symbol or
    158         // nan_symbol has been given to the constructor.
    159         bool ToShortest(double value, StringBuilder* result_builder) const;
    160 
    161 
    162         // Computes a decimal representation with a fixed number of digits after the
    163         // decimal point. The last emitted digit is rounded.
    164         //
    165         // Examples:
    166         //   ToFixed(3.12, 1) -> "3.1"
    167         //   ToFixed(3.1415, 3) -> "3.142"
    168         //   ToFixed(1234.56789, 4) -> "1234.5679"
    169         //   ToFixed(1.23, 5) -> "1.23000"
    170         //   ToFixed(0.1, 4) -> "0.1000"
    171         //   ToFixed(1e30, 2) -> "1000000000000000019884624838656.00"
    172         //   ToFixed(0.1, 30) -> "0.100000000000000005551115123126"
    173         //   ToFixed(0.1, 17) -> "0.10000000000000001"
    174         //
    175         // If requested_digits equals 0, then the tail of the result depends on
    176         // the EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT.
    177         // Examples, for requested_digits == 0,
    178         //   let EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT be
    179         //    - false and false: then 123.45 -> 123
    180         //                             0.678 -> 1
    181         //    - true and false: then 123.45 -> 123.
    182         //                            0.678 -> 1.
    183         //    - true and true: then 123.45 -> 123.0
    184         //                           0.678 -> 1.0
    185         //
    186         // Returns true if the conversion succeeds. The conversion always succeeds
    187         // except for the following cases:
    188         //   - the input value is special and no infinity_symbol or nan_symbol has
    189         //     been provided to the constructor,
    190         //   - 'value' > 10^kMaxFixedDigitsBeforePoint, or
    191         //   - 'requested_digits' > kMaxFixedDigitsAfterPoint.
    192         // The last two conditions imply that the result will never contain more than
    193         // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint characters
    194         // (one additional character for the sign, and one for the decimal point).
    195         bool ToFixed(double value,
    196                      int requested_digits,
    197                      StringBuilder* result_builder) const;
    198 
    199         // Computes a representation in exponential format with requested_digits
    200         // after the decimal point. The last emitted digit is rounded.
    201         // If requested_digits equals -1, then the shortest exponential representation
    202         // is computed.
    203         //
    204         // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and
    205         //               exponent_character set to 'e'.
    206         //   ToExponential(3.12, 1) -> "3.1e0"
    207         //   ToExponential(5.0, 3) -> "5.000e0"
    208         //   ToExponential(0.001, 2) -> "1.00e-3"
    209         //   ToExponential(3.1415, -1) -> "3.1415e0"
    210         //   ToExponential(3.1415, 4) -> "3.1415e0"
    211         //   ToExponential(3.1415, 3) -> "3.142e0"
    212         //   ToExponential(123456789000000, 3) -> "1.235e14"
    213         //   ToExponential(1000000000000000019884624838656.0, -1) -> "1e30"
    214         //   ToExponential(1000000000000000019884624838656.0, 32) ->
    215         //                     "1.00000000000000001988462483865600e30"
    216         //   ToExponential(1234, 0) -> "1e3"
    217         //
    218         // Returns true if the conversion succeeds. The conversion always succeeds
    219         // except for the following cases:
    220         //   - the input value is special and no infinity_symbol or nan_symbol has
    221         //     been provided to the constructor,
    222         //   - 'requested_digits' > kMaxExponentialDigits.
    223         // The last condition implies that the result will never contain more than
    224         // kMaxExponentialDigits + 8 characters (the sign, the digit before the
    225         // decimal point, the decimal point, the exponent character, the
    226         // exponent's sign, and at most 3 exponent digits).
    227         bool ToExponential(double value,
    228                            int requested_digits,
    229                            StringBuilder* result_builder) const;
    230 
    231         // Computes 'precision' leading digits of the given 'value' and returns them
    232         // either in exponential or decimal format, depending on
    233         // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the
    234         // constructor).
    235         // The last computed digit is rounded.
    236         //
    237         // Example with max_leading_padding_zeroes_in_precision_mode = 6.
    238         //   ToPrecision(0.0000012345, 2) -> "0.0000012"
    239         //   ToPrecision(0.00000012345, 2) -> "1.2e-7"
    240         // Similarily the converter may add up to
    241         // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid
    242         // returning an exponential representation. A zero added by the
    243         // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit.
    244         // Examples for max_trailing_padding_zeroes_in_precision_mode = 1:
    245         //   ToPrecision(230.0, 2) -> "230"
    246         //   ToPrecision(230.0, 2) -> "230."  with EMIT_TRAILING_DECIMAL_POINT.
    247         //   ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT.
    248         // Examples for max_trailing_padding_zeroes_in_precision_mode = 3, and no
    249         //    EMIT_TRAILING_ZERO_AFTER_POINT:
    250         //   ToPrecision(123450.0, 6) -> "123450"
    251         //   ToPrecision(123450.0, 5) -> "123450"
    252         //   ToPrecision(123450.0, 4) -> "123500"
    253         //   ToPrecision(123450.0, 3) -> "123000"
    254         //   ToPrecision(123450.0, 2) -> "1.2e5"
    255         //
    256         // Returns true if the conversion succeeds. The conversion always succeeds
    257         // except for the following cases:
    258         //   - the input value is special and no infinity_symbol or nan_symbol has
    259         //     been provided to the constructor,
    260         //   - precision < kMinPericisionDigits
    261         //   - precision > kMaxPrecisionDigits
    262         // The last condition implies that the result will never contain more than
    263         // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the
    264         // exponent character, the exponent's sign, and at most 3 exponent digits).
    265         bool ToPrecision(double value,
    266                          int precision,
    267                          StringBuilder* result_builder) const;
    268 
    269         enum DtoaMode {
    270             // Produce the shortest correct representation.
    271             // For example the output of 0.299999999999999988897 is (the less accurate
    272             // but correct) 0.3.
    273             SHORTEST,
    274             // Produce a fixed number of digits after the decimal point.
    275             // For instance fixed(0.1, 4) becomes 0.1000
    276             // If the input number is big, the output will be big.
    277             FIXED,
    278             // Fixed number of digits (independent of the decimal point).
    279             PRECISION
    280         };
    281 
    282         // The maximal number of digits that are needed to emit a double in base 10.
    283         // A higher precision can be achieved by using more digits, but the shortest
    284         // accurate representation of any double will never use more digits than
    285         // kBase10MaximalLength.
    286         // Note that DoubleToAscii null-terminates its input. So the given buffer
    287         // should be at least kBase10MaximalLength + 1 characters long.
    288         static const int kBase10MaximalLength = 17;
    289 
    290         // Converts the given double 'v' to ascii.
    291         // The result should be interpreted as buffer * 10^(point-length).
    292         //
    293         // The output depends on the given mode:
    294         //  - SHORTEST: produce the least amount of digits for which the internal
    295         //   identity requirement is still satisfied. If the digits are printed
    296         //   (together with the correct exponent) then reading this number will give
    297         //   'v' again. The buffer will choose the representation that is closest to
    298         //   'v'. If there are two at the same distance, than the one farther away
    299         //   from 0 is chosen (halfway cases - ending with 5 - are rounded up).
    300         //   In this mode the 'requested_digits' parameter is ignored.
    301         //  - FIXED: produces digits necessary to print a given number with
    302         //   'requested_digits' digits after the decimal point. The produced digits
    303         //   might be too short in which case the caller has to fill the remainder
    304         //   with '0's.
    305         //   Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2.
    306         //   Halfway cases are rounded towards +/-Infinity (away from 0). The call
    307         //   toFixed(0.15, 2) thus returns buffer="2", point=0.
    308         //   The returned buffer may contain digits that would be truncated from the
    309         //   shortest representation of the input.
    310         //  - PRECISION: produces 'requested_digits' where the first digit is not '0'.
    311         //   Even though the length of produced digits usually equals
    312         //   'requested_digits', the function is allowed to return fewer digits, in
    313         //   which case the caller has to fill the missing digits with '0's.
    314         //   Halfway cases are again rounded away from 0.
    315         // DoubleToAscii expects the given buffer to be big enough to hold all
    316         // digits and a terminating null-character. In SHORTEST-mode it expects a
    317         // buffer of at least kBase10MaximalLength + 1. In all other modes the
    318         // requested_digits parameter (+ 1 for the null-character) limits the size of
    319         // the output. The given length is only used in debug mode to ensure the
    320         // buffer is big enough.
    321         static void DoubleToAscii(double v,
    322                                   DtoaMode mode,
    323                                   int requested_digits,
    324                                   char* buffer,
    325                                   int buffer_length,
    326                                   bool* sign,
    327                                   int* length,
    328                                   int* point);
    329 
    330     private:
    331         // If the value is a special value (NaN or Infinity) constructs the
    332         // corresponding string using the configured infinity/nan-symbol.
    333         // If either of them is NULL or the value is not special then the
    334         // function returns false.
    335         bool HandleSpecialValues(double value, StringBuilder* result_builder) const;
    336         // Constructs an exponential representation (i.e. 1.234e56).
    337         // The given exponent assumes a decimal point after the first decimal digit.
    338         void CreateExponentialRepresentation(const char* decimal_digits,
    339                                              int length,
    340                                              int exponent,
    341                                              StringBuilder* result_builder) const;
    342         // Creates a decimal representation (i.e 1234.5678).
    343         void CreateDecimalRepresentation(const char* decimal_digits,
    344                                          int length,
    345                                          int decimal_point,
    346                                          int digits_after_point,
    347                                          StringBuilder* result_builder) const;
    348 
    349         const int flags_;
    350         const char* const infinity_symbol_;
    351         const char* const nan_symbol_;
    352         const char exponent_character_;
    353         const int decimal_in_shortest_low_;
    354         const int decimal_in_shortest_high_;
    355         const int max_leading_padding_zeroes_in_precision_mode_;
    356         const int max_trailing_padding_zeroes_in_precision_mode_;
    357 
    358         DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter);
    359     };
    360 
    361 
    362     class StringToDoubleConverter {
    363     public:
    364         // Performs the conversion.
    365         // The output parameter 'processed_characters_count' is set to the number
    366         // of characters that have been processed to read the number.
    367         static double StringToDouble(const char* buffer, size_t length, size_t* processed_characters_count);
    368 
    369     private:
    370         DISALLOW_IMPLICIT_CONSTRUCTORS(StringToDoubleConverter);
    371     };
    372 
    373 }  // namespace double_conversion
    374 
    375 } // namespace WTF
    376 
    377 #endif  // DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_
    378