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27 | |
28 | #ifndef DOUBLE_CONVERSION_DOUBLE_TO_STRING_H_ |
29 | #define DOUBLE_CONVERSION_DOUBLE_TO_STRING_H_ |
30 | |
31 | #include "utils.h" |
32 | |
33 | namespace double_conversion { |
34 | |
35 | class DoubleToStringConverter { |
36 | public: |
37 | // When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint |
38 | // or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the |
39 | // function returns false. |
40 | static const int kMaxFixedDigitsBeforePoint = 60; |
41 | static const int kMaxFixedDigitsAfterPoint = 100; |
42 | |
43 | // When calling ToExponential with a requested_digits |
44 | // parameter > kMaxExponentialDigits then the function returns false. |
45 | static const int kMaxExponentialDigits = 120; |
46 | |
47 | // When calling ToPrecision with a requested_digits |
48 | // parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDigits |
49 | // then the function returns false. |
50 | static const int kMinPrecisionDigits = 1; |
51 | static const int kMaxPrecisionDigits = 120; |
52 | |
53 | // The maximal number of digits that are needed to emit a double in base 10. |
54 | // A higher precision can be achieved by using more digits, but the shortest |
55 | // accurate representation of any double will never use more digits than |
56 | // kBase10MaximalLength. |
57 | // Note that DoubleToAscii null-terminates its input. So the given buffer |
58 | // should be at least kBase10MaximalLength + 1 characters long. |
59 | static const int kBase10MaximalLength = 17; |
60 | |
61 | // The maximal number of digits that are needed to emit a single in base 10. |
62 | // A higher precision can be achieved by using more digits, but the shortest |
63 | // accurate representation of any single will never use more digits than |
64 | // kBase10MaximalLengthSingle. |
65 | static const int kBase10MaximalLengthSingle = 9; |
66 | |
67 | // The length of the longest string that 'ToShortest' can produce when the |
68 | // converter is instantiated with EcmaScript defaults (see |
69 | // 'EcmaScriptConverter') |
70 | // This value does not include the trailing '\0' character. |
71 | // This amount of characters is needed for negative values that hit the |
72 | // 'decimal_in_shortest_low' limit. For example: "-0.0000033333333333333333" |
73 | static const int kMaxCharsEcmaScriptShortest = 25; |
74 | |
75 | enum Flags { |
76 | NO_FLAGS = 0, |
77 | EMIT_POSITIVE_EXPONENT_SIGN = 1, |
78 | EMIT_TRAILING_DECIMAL_POINT = 2, |
79 | EMIT_TRAILING_ZERO_AFTER_POINT = 4, |
80 | UNIQUE_ZERO = 8, |
81 | NO_TRAILING_ZERO = 16 |
82 | }; |
83 | |
84 | // Flags should be a bit-or combination of the possible Flags-enum. |
85 | // - NO_FLAGS: no special flags. |
86 | // - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exponent |
87 | // form, emits a '+' for positive exponents. Example: 1.2e+2. |
88 | // - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer and is |
89 | // converted into decimal format then a trailing decimal point is appended. |
90 | // Example: 2345.0 is converted to "2345.". |
91 | // - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal point |
92 | // emits a trailing '0'-character. This flag requires the |
93 | // EMIT_TRAILING_DECIMAL_POINT flag. |
94 | // Example: 2345.0 is converted to "2345.0". |
95 | // - UNIQUE_ZERO: "-0.0" is converted to "0.0". |
96 | // - NO_TRAILING_ZERO: Trailing zeros are removed from the fractional portion |
97 | // of the result in precision mode. Matches printf's %g. |
98 | // When EMIT_TRAILING_ZERO_AFTER_POINT is also given, one trailing zero is |
99 | // preserved. |
100 | // |
101 | // Infinity symbol and nan_symbol provide the string representation for these |
102 | // special values. If the string is NULL and the special value is encountered |
103 | // then the conversion functions return false. |
104 | // |
105 | // The exponent_character is used in exponential representations. It is |
106 | // usually 'e' or 'E'. |
107 | // |
108 | // When converting to the shortest representation the converter will |
109 | // represent input numbers in decimal format if they are in the interval |
110 | // [10^decimal_in_shortest_low; 10^decimal_in_shortest_high[ |
111 | // (lower boundary included, greater boundary excluded). |
112 | // Example: with decimal_in_shortest_low = -6 and |
113 | // decimal_in_shortest_high = 21: |
114 | // ToShortest(0.000001) -> "0.000001" |
115 | // ToShortest(0.0000001) -> "1e-7" |
116 | // ToShortest(111111111111111111111.0) -> "111111111111111110000" |
117 | // ToShortest(100000000000000000000.0) -> "100000000000000000000" |
118 | // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" |
119 | // |
120 | // When converting to precision mode the converter may add |
121 | // max_leading_padding_zeroes before returning the number in exponential |
122 | // format. |
123 | // Example with max_leading_padding_zeroes_in_precision_mode = 6. |
124 | // ToPrecision(0.0000012345, 2) -> "0.0000012" |
125 | // ToPrecision(0.00000012345, 2) -> "1.2e-7" |
126 | // Similarly the converter may add up to |
127 | // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid |
128 | // returning an exponential representation. A zero added by the |
129 | // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit. |
130 | // Examples for max_trailing_padding_zeroes_in_precision_mode = 1: |
131 | // ToPrecision(230.0, 2) -> "230" |
132 | // ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT. |
133 | // ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT. |
134 | // |
135 | // The min_exponent_width is used for exponential representations. |
136 | // The converter adds leading '0's to the exponent until the exponent |
137 | // is at least min_exponent_width digits long. |
138 | // The min_exponent_width is clamped to 5. |
139 | // As such, the exponent may never have more than 5 digits in total. |
140 | DoubleToStringConverter(int flags, |
141 | const char* infinity_symbol, |
142 | const char* nan_symbol, |
143 | char exponent_character, |
144 | int decimal_in_shortest_low, |
145 | int decimal_in_shortest_high, |
146 | int max_leading_padding_zeroes_in_precision_mode, |
147 | int max_trailing_padding_zeroes_in_precision_mode, |
148 | int min_exponent_width = 0) |
149 | : flags_(flags), |
150 | infinity_symbol_(infinity_symbol), |
151 | nan_symbol_(nan_symbol), |
152 | exponent_character_(exponent_character), |
153 | decimal_in_shortest_low_(decimal_in_shortest_low), |
154 | decimal_in_shortest_high_(decimal_in_shortest_high), |
155 | max_leading_padding_zeroes_in_precision_mode_( |
156 | max_leading_padding_zeroes_in_precision_mode), |
157 | max_trailing_padding_zeroes_in_precision_mode_( |
158 | max_trailing_padding_zeroes_in_precision_mode), |
159 | min_exponent_width_(min_exponent_width) { |
160 | // When 'trailing zero after the point' is set, then 'trailing point' |
161 | // must be set too. |
162 | DOUBLE_CONVERSION_ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) || |
163 | !((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0)); |
164 | } |
165 | |
166 | // Returns a converter following the EcmaScript specification. |
167 | // |
168 | // Flags: UNIQUE_ZERO and EMIT_POSITIVE_EXPONENT_SIGN. |
169 | // Special values: "Infinity" and "NaN". |
170 | // Lower case 'e' for exponential values. |
171 | // decimal_in_shortest_low: -6 |
172 | // decimal_in_shortest_high: 21 |
173 | // max_leading_padding_zeroes_in_precision_mode: 6 |
174 | // max_trailing_padding_zeroes_in_precision_mode: 0 |
175 | static const DoubleToStringConverter& EcmaScriptConverter(); |
176 | |
177 | // Computes the shortest string of digits that correctly represent the input |
178 | // number. Depending on decimal_in_shortest_low and decimal_in_shortest_high |
179 | // (see constructor) it then either returns a decimal representation, or an |
180 | // exponential representation. |
181 | // Example with decimal_in_shortest_low = -6, |
182 | // decimal_in_shortest_high = 21, |
183 | // EMIT_POSITIVE_EXPONENT_SIGN activated, and |
184 | // EMIT_TRAILING_DECIMAL_POINT deactivated: |
185 | // ToShortest(0.000001) -> "0.000001" |
186 | // ToShortest(0.0000001) -> "1e-7" |
187 | // ToShortest(111111111111111111111.0) -> "111111111111111110000" |
188 | // ToShortest(100000000000000000000.0) -> "100000000000000000000" |
189 | // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" |
190 | // |
191 | // Note: the conversion may round the output if the returned string |
192 | // is accurate enough to uniquely identify the input-number. |
193 | // For example the most precise representation of the double 9e59 equals |
194 | // "899999999999999918767229449717619953810131273674690656206848", but |
195 | // the converter will return the shorter (but still correct) "9e59". |
196 | // |
197 | // Returns true if the conversion succeeds. The conversion always succeeds |
198 | // except when the input value is special and no infinity_symbol or |
199 | // nan_symbol has been given to the constructor. |
200 | // |
201 | // The length of the longest result is the maximum of the length of the |
202 | // following string representations (each with possible examples): |
203 | // - NaN and negative infinity: "NaN", "-Infinity", "-inf". |
204 | // - -10^(decimal_in_shortest_high - 1): |
205 | // "-100000000000000000000", "-1000000000000000.0" |
206 | // - the longest string in range [0; -10^decimal_in_shortest_low]. Generally, |
207 | // this string is 3 + kBase10MaximalLength - decimal_in_shortest_low. |
208 | // (Sign, '0', decimal point, padding zeroes for decimal_in_shortest_low, |
209 | // and the significant digits). |
210 | // "-0.0000033333333333333333", "-0.0012345678901234567" |
211 | // - the longest exponential representation. (A negative number with |
212 | // kBase10MaximalLength significant digits). |
213 | // "-1.7976931348623157e+308", "-1.7976931348623157E308" |
214 | // In addition, the buffer must be able to hold the trailing '\0' character. |
215 | bool ToShortest(double value, StringBuilder* result_builder) const { |
216 | return ToShortestIeeeNumber(value, result_builder, SHORTEST); |
217 | } |
218 | |
219 | // Same as ToShortest, but for single-precision floats. |
220 | bool ToShortestSingle(float value, StringBuilder* result_builder) const { |
221 | return ToShortestIeeeNumber(value, result_builder, SHORTEST_SINGLE); |
222 | } |
223 | |
224 | |
225 | // Computes a decimal representation with a fixed number of digits after the |
226 | // decimal point. The last emitted digit is rounded. |
227 | // |
228 | // Examples: |
229 | // ToFixed(3.12, 1) -> "3.1" |
230 | // ToFixed(3.1415, 3) -> "3.142" |
231 | // ToFixed(1234.56789, 4) -> "1234.5679" |
232 | // ToFixed(1.23, 5) -> "1.23000" |
233 | // ToFixed(0.1, 4) -> "0.1000" |
234 | // ToFixed(1e30, 2) -> "1000000000000000019884624838656.00" |
235 | // ToFixed(0.1, 30) -> "0.100000000000000005551115123126" |
236 | // ToFixed(0.1, 17) -> "0.10000000000000001" |
237 | // |
238 | // If requested_digits equals 0, then the tail of the result depends on |
239 | // the EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT. |
240 | // Examples, for requested_digits == 0, |
241 | // let EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT be |
242 | // - false and false: then 123.45 -> 123 |
243 | // 0.678 -> 1 |
244 | // - true and false: then 123.45 -> 123. |
245 | // 0.678 -> 1. |
246 | // - true and true: then 123.45 -> 123.0 |
247 | // 0.678 -> 1.0 |
248 | // |
249 | // Returns true if the conversion succeeds. The conversion always succeeds |
250 | // except for the following cases: |
251 | // - the input value is special and no infinity_symbol or nan_symbol has |
252 | // been provided to the constructor, |
253 | // - 'value' > 10^kMaxFixedDigitsBeforePoint, or |
254 | // - 'requested_digits' > kMaxFixedDigitsAfterPoint. |
255 | // The last two conditions imply that the result for non-special values never |
256 | // contains more than |
257 | // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint characters |
258 | // (one additional character for the sign, and one for the decimal point). |
259 | // In addition, the buffer must be able to hold the trailing '\0' character. |
260 | bool ToFixed(double value, |
261 | int requested_digits, |
262 | StringBuilder* result_builder) const; |
263 | |
264 | // Computes a representation in exponential format with requested_digits |
265 | // after the decimal point. The last emitted digit is rounded. |
266 | // If requested_digits equals -1, then the shortest exponential representation |
267 | // is computed. |
268 | // |
269 | // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and |
270 | // exponent_character set to 'e'. |
271 | // ToExponential(3.12, 1) -> "3.1e0" |
272 | // ToExponential(5.0, 3) -> "5.000e0" |
273 | // ToExponential(0.001, 2) -> "1.00e-3" |
274 | // ToExponential(3.1415, -1) -> "3.1415e0" |
275 | // ToExponential(3.1415, 4) -> "3.1415e0" |
276 | // ToExponential(3.1415, 3) -> "3.142e0" |
277 | // ToExponential(123456789000000, 3) -> "1.235e14" |
278 | // ToExponential(1000000000000000019884624838656.0, -1) -> "1e30" |
279 | // ToExponential(1000000000000000019884624838656.0, 32) -> |
280 | // "1.00000000000000001988462483865600e30" |
281 | // ToExponential(1234, 0) -> "1e3" |
282 | // |
283 | // Returns true if the conversion succeeds. The conversion always succeeds |
284 | // except for the following cases: |
285 | // - the input value is special and no infinity_symbol or nan_symbol has |
286 | // been provided to the constructor, |
287 | // - 'requested_digits' > kMaxExponentialDigits. |
288 | // |
289 | // The last condition implies that the result never contains more than |
290 | // kMaxExponentialDigits + 8 characters (the sign, the digit before the |
291 | // decimal point, the decimal point, the exponent character, the |
292 | // exponent's sign, and at most 3 exponent digits). |
293 | // In addition, the buffer must be able to hold the trailing '\0' character. |
294 | bool ToExponential(double value, |
295 | int requested_digits, |
296 | StringBuilder* result_builder) const; |
297 | |
298 | |
299 | // Computes 'precision' leading digits of the given 'value' and returns them |
300 | // either in exponential or decimal format, depending on |
301 | // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the |
302 | // constructor). |
303 | // The last computed digit is rounded. |
304 | // |
305 | // Example with max_leading_padding_zeroes_in_precision_mode = 6. |
306 | // ToPrecision(0.0000012345, 2) -> "0.0000012" |
307 | // ToPrecision(0.00000012345, 2) -> "1.2e-7" |
308 | // Similarly the converter may add up to |
309 | // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid |
310 | // returning an exponential representation. A zero added by the |
311 | // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit. |
312 | // Examples for max_trailing_padding_zeroes_in_precision_mode = 1: |
313 | // ToPrecision(230.0, 2) -> "230" |
314 | // ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT. |
315 | // ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT. |
316 | // Examples for max_trailing_padding_zeroes_in_precision_mode = 3, and no |
317 | // EMIT_TRAILING_ZERO_AFTER_POINT: |
318 | // ToPrecision(123450.0, 6) -> "123450" |
319 | // ToPrecision(123450.0, 5) -> "123450" |
320 | // ToPrecision(123450.0, 4) -> "123500" |
321 | // ToPrecision(123450.0, 3) -> "123000" |
322 | // ToPrecision(123450.0, 2) -> "1.2e5" |
323 | // |
324 | // Returns true if the conversion succeeds. The conversion always succeeds |
325 | // except for the following cases: |
326 | // - the input value is special and no infinity_symbol or nan_symbol has |
327 | // been provided to the constructor, |
328 | // - precision < kMinPericisionDigits |
329 | // - precision > kMaxPrecisionDigits |
330 | // |
331 | // The last condition implies that the result never contains more than |
332 | // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the |
333 | // exponent character, the exponent's sign, and at most 3 exponent digits). |
334 | // In addition, the buffer must be able to hold the trailing '\0' character. |
335 | bool ToPrecision(double value, |
336 | int precision, |
337 | StringBuilder* result_builder) const; |
338 | |
339 | enum DtoaMode { |
340 | // Produce the shortest correct representation. |
341 | // For example the output of 0.299999999999999988897 is (the less accurate |
342 | // but correct) 0.3. |
343 | SHORTEST, |
344 | // Same as SHORTEST, but for single-precision floats. |
345 | SHORTEST_SINGLE, |
346 | // Produce a fixed number of digits after the decimal point. |
347 | // For instance fixed(0.1, 4) becomes 0.1000 |
348 | // If the input number is big, the output will be big. |
349 | FIXED, |
350 | // Fixed number of digits (independent of the decimal point). |
351 | PRECISION |
352 | }; |
353 | |
354 | // Converts the given double 'v' to digit characters. 'v' must not be NaN, |
355 | // +Infinity, or -Infinity. In SHORTEST_SINGLE-mode this restriction also |
356 | // applies to 'v' after it has been casted to a single-precision float. That |
357 | // is, in this mode static_cast<float>(v) must not be NaN, +Infinity or |
358 | // -Infinity. |
359 | // |
360 | // The result should be interpreted as buffer * 10^(point-length). |
361 | // |
362 | // The digits are written to the buffer in the platform's charset, which is |
363 | // often UTF-8 (with ASCII-range digits) but may be another charset, such |
364 | // as EBCDIC. |
365 | // |
366 | // The output depends on the given mode: |
367 | // - SHORTEST: produce the least amount of digits for which the internal |
368 | // identity requirement is still satisfied. If the digits are printed |
369 | // (together with the correct exponent) then reading this number will give |
370 | // 'v' again. The buffer will choose the representation that is closest to |
371 | // 'v'. If there are two at the same distance, than the one farther away |
372 | // from 0 is chosen (halfway cases - ending with 5 - are rounded up). |
373 | // In this mode the 'requested_digits' parameter is ignored. |
374 | // - SHORTEST_SINGLE: same as SHORTEST but with single-precision. |
375 | // - FIXED: produces digits necessary to print a given number with |
376 | // 'requested_digits' digits after the decimal point. The produced digits |
377 | // might be too short in which case the caller has to fill the remainder |
378 | // with '0's. |
379 | // Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2. |
380 | // Halfway cases are rounded towards +/-Infinity (away from 0). The call |
381 | // toFixed(0.15, 2) thus returns buffer="2", point=0. |
382 | // The returned buffer may contain digits that would be truncated from the |
383 | // shortest representation of the input. |
384 | // - PRECISION: produces 'requested_digits' where the first digit is not '0'. |
385 | // Even though the length of produced digits usually equals |
386 | // 'requested_digits', the function is allowed to return fewer digits, in |
387 | // which case the caller has to fill the missing digits with '0's. |
388 | // Halfway cases are again rounded away from 0. |
389 | // DoubleToAscii expects the given buffer to be big enough to hold all |
390 | // digits and a terminating null-character. In SHORTEST-mode it expects a |
391 | // buffer of at least kBase10MaximalLength + 1. In all other modes the |
392 | // requested_digits parameter and the padding-zeroes limit the size of the |
393 | // output. Don't forget the decimal point, the exponent character and the |
394 | // terminating null-character when computing the maximal output size. |
395 | // The given length is only used in debug mode to ensure the buffer is big |
396 | // enough. |
397 | static void DoubleToAscii(double v, |
398 | DtoaMode mode, |
399 | int requested_digits, |
400 | char* buffer, |
401 | int buffer_length, |
402 | bool* sign, |
403 | int* length, |
404 | int* point); |
405 | |
406 | private: |
407 | // Implementation for ToShortest and ToShortestSingle. |
408 | bool ToShortestIeeeNumber(double value, |
409 | StringBuilder* result_builder, |
410 | DtoaMode mode) const; |
411 | |
412 | // If the value is a special value (NaN or Infinity) constructs the |
413 | // corresponding string using the configured infinity/nan-symbol. |
414 | // If either of them is NULL or the value is not special then the |
415 | // function returns false. |
416 | bool HandleSpecialValues(double value, StringBuilder* result_builder) const; |
417 | // Constructs an exponential representation (i.e. 1.234e56). |
418 | // The given exponent assumes a decimal point after the first decimal digit. |
419 | void CreateExponentialRepresentation(const char* decimal_digits, |
420 | int length, |
421 | int exponent, |
422 | StringBuilder* result_builder) const; |
423 | // Creates a decimal representation (i.e 1234.5678). |
424 | void CreateDecimalRepresentation(const char* decimal_digits, |
425 | int length, |
426 | int decimal_point, |
427 | int digits_after_point, |
428 | StringBuilder* result_builder) const; |
429 | |
430 | const int flags_; |
431 | const char* const infinity_symbol_; |
432 | const char* const nan_symbol_; |
433 | const char exponent_character_; |
434 | const int decimal_in_shortest_low_; |
435 | const int decimal_in_shortest_high_; |
436 | const int max_leading_padding_zeroes_in_precision_mode_; |
437 | const int max_trailing_padding_zeroes_in_precision_mode_; |
438 | const int min_exponent_width_; |
439 | |
440 | DOUBLE_CONVERSION_DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter); |
441 | }; |
442 | |
443 | } // namespace double_conversion |
444 | |
445 | #endif // DOUBLE_CONVERSION_DOUBLE_TO_STRING_H_ |
446 | |