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1 // Copyright 2010 the V8 project authors. All rights reserved. | 1 // Copyright 2010 the V8 project authors. All rights reserved. |
2 // Redistribution and use in source and binary forms, with or without | 2 // Redistribution and use in source and binary forms, with or without |
3 // modification, are permitted provided that the following conditions are | 3 // modification, are permitted provided that the following conditions are |
4 // met: | 4 // met: |
5 // | 5 // |
6 // * Redistributions of source code must retain the above copyright | 6 // * Redistributions of source code must retain the above copyright |
7 // notice, this list of conditions and the following disclaimer. | 7 // notice, this list of conditions and the following disclaimer. |
8 // * Redistributions in binary form must reproduce the above | 8 // * Redistributions in binary form must reproduce the above |
9 // copyright notice, this list of conditions and the following | 9 // copyright notice, this list of conditions and the following |
10 // disclaimer in the documentation and/or other materials provided | 10 // disclaimer in the documentation and/or other materials provided |
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26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | 26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
27 | 27 |
28 #ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ | 28 #ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ |
29 #define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ | 29 #define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ |
30 | 30 |
31 #include "wtf/dtoa/utils.h" | 31 #include "wtf/dtoa/utils.h" |
32 | 32 |
33 namespace WTF { | 33 namespace WTF { |
34 | 34 |
35 namespace double_conversion { | 35 namespace double_conversion { |
36 | 36 |
37 class DoubleToStringConverter { | 37 class DoubleToStringConverter { |
38 public: | 38 public: |
39 // When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint | 39 // When calling ToFixed with a double > 10^kMaxFixedDigitsBeforePoint |
40 // or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the | 40 // or a requested_digits parameter > kMaxFixedDigitsAfterPoint then the |
41 // function returns false. | 41 // function returns false. |
42 static const int kMaxFixedDigitsBeforePoint = 60; | 42 static const int kMaxFixedDigitsBeforePoint = 60; |
43 static const int kMaxFixedDigitsAfterPoint = 60; | 43 static const int kMaxFixedDigitsAfterPoint = 60; |
44 | 44 |
45 // When calling ToExponential with a requested_digits | 45 // When calling ToExponential with a requested_digits |
46 // parameter > kMaxExponentialDigits then the function returns false. | 46 // parameter > kMaxExponentialDigits then the function returns false. |
47 static const int kMaxExponentialDigits = 120; | 47 static const int kMaxExponentialDigits = 120; |
48 | 48 |
49 // When calling ToPrecision with a requested_digits | 49 // When calling ToPrecision with a requested_digits |
50 // parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDi
gits | 50 // parameter < kMinPrecisionDigits or requested_digits > kMaxPrecisionDi
gits |
51 // then the function returns false. | 51 // then the function returns false. |
52 static const int kMinPrecisionDigits = 1; | 52 static const int kMinPrecisionDigits = 1; |
53 static const int kMaxPrecisionDigits = 120; | 53 static const int kMaxPrecisionDigits = 120; |
54 | 54 |
55 enum Flags { | 55 enum Flags { |
56 NO_FLAGS = 0, | 56 NO_FLAGS = 0, |
57 EMIT_POSITIVE_EXPONENT_SIGN = 1, | 57 EMIT_POSITIVE_EXPONENT_SIGN = 1, |
58 EMIT_TRAILING_DECIMAL_POINT = 2, | 58 EMIT_TRAILING_DECIMAL_POINT = 2, |
59 EMIT_TRAILING_ZERO_AFTER_POINT = 4, | 59 EMIT_TRAILING_ZERO_AFTER_POINT = 4, |
60 UNIQUE_ZERO = 8 | 60 UNIQUE_ZERO = 8 |
61 }; | 61 }; |
62 | 62 |
63 // Flags should be a bit-or combination of the possible Flags-enum. | 63 // Flags should be a bit-or combination of the possible Flags-enum. |
64 // - NO_FLAGS: no special flags. | 64 // - NO_FLAGS: no special flags. |
65 // - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exp
onent | 65 // - EMIT_POSITIVE_EXPONENT_SIGN: when the number is converted into exp
onent |
66 // form, emits a '+' for positive exponents. Example: 1.2e+2. | 66 // form, emits a '+' for positive exponents. Example: 1.2e+2. |
67 // - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer a
nd is | 67 // - EMIT_TRAILING_DECIMAL_POINT: when the input number is an integer a
nd is |
68 // converted into decimal format then a trailing decimal point is app
ended. | 68 // converted into decimal format then a trailing decimal point is app
ended. |
69 // Example: 2345.0 is converted to "2345.". | 69 // Example: 2345.0 is converted to "2345.". |
70 // - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal
point | 70 // - EMIT_TRAILING_ZERO_AFTER_POINT: in addition to a trailing decimal
point |
71 // emits a trailing '0'-character. This flag requires the | 71 // emits a trailing '0'-character. This flag requires the |
72 // EXMIT_TRAILING_DECIMAL_POINT flag. | 72 // EXMIT_TRAILING_DECIMAL_POINT flag. |
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122 decimal_in_shortest_high_(decimal_in_shortest_high), | 122 decimal_in_shortest_high_(decimal_in_shortest_high), |
123 max_leading_padding_zeroes_in_precision_mode_( | 123 max_leading_padding_zeroes_in_precision_mode_( |
124 max_leading_padding_zeroes
_in_precision_mode), | 124 max_leading_padding_zeroes
_in_precision_mode), |
125 max_trailing_padding_zeroes_in_precision_mode_( | 125 max_trailing_padding_zeroes_in_precision_mode_( |
126 max_trailing_padding_zero
es_in_precision_mode) { | 126 max_trailing_padding_zero
es_in_precision_mode) { |
127 // When 'trailing zero after the point' is set, then 'trailing point
' | 127 // When 'trailing zero after the point' is set, then 'trailing point
' |
128 // must be set too. | 128 // must be set too. |
129 ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) || | 129 ASSERT(((flags & EMIT_TRAILING_DECIMAL_POINT) != 0) || |
130 !((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0)); | 130 !((flags & EMIT_TRAILING_ZERO_AFTER_POINT) != 0)); |
131 } | 131 } |
132 | 132 |
133 // Returns a converter following the EcmaScript specification. | 133 // Returns a converter following the EcmaScript specification. |
134 static const DoubleToStringConverter& EcmaScriptConverter(); | 134 static const DoubleToStringConverter& EcmaScriptConverter(); |
135 | 135 |
136 // Computes the shortest string of digits that correctly represent the i
nput | 136 // Computes the shortest string of digits that correctly represent the i
nput |
137 // number. Depending on decimal_in_shortest_low and decimal_in_shortest_
high | 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 | 138 // (see constructor) it then either returns a decimal representation, or
an |
139 // exponential representation. | 139 // exponential representation. |
140 // Example with decimal_in_shortest_low = -6, | 140 // Example with decimal_in_shortest_low = -6, |
141 // decimal_in_shortest_high = 21, | 141 // decimal_in_shortest_high = 21, |
142 // EMIT_POSITIVE_EXPONENT_SIGN activated, and | 142 // EMIT_POSITIVE_EXPONENT_SIGN activated, and |
143 // EMIT_TRAILING_DECIMAL_POINT deactived: | 143 // EMIT_TRAILING_DECIMAL_POINT deactived: |
144 // ToShortest(0.000001) -> "0.000001" | 144 // ToShortest(0.000001) -> "0.000001" |
145 // ToShortest(0.0000001) -> "1e-7" | 145 // ToShortest(0.0000001) -> "1e-7" |
146 // ToShortest(111111111111111111111.0) -> "111111111111111110000" | 146 // ToShortest(111111111111111111111.0) -> "111111111111111110000" |
147 // ToShortest(100000000000000000000.0) -> "100000000000000000000" | 147 // ToShortest(100000000000000000000.0) -> "100000000000000000000" |
148 // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" | 148 // ToShortest(1111111111111111111111.0) -> "1.1111111111111111e+21" |
149 // | 149 // |
150 // Note: the conversion may round the output if the returned string | 150 // Note: the conversion may round the output if the returned string |
151 // is accurate enough to uniquely identify the input-number. | 151 // is accurate enough to uniquely identify the input-number. |
152 // For example the most precise representation of the double 9e59 equals | 152 // For example the most precise representation of the double 9e59 equals |
153 // "899999999999999918767229449717619953810131273674690656206848", but | 153 // "899999999999999918767229449717619953810131273674690656206848", but |
154 // the converter will return the shorter (but still correct) "9e59". | 154 // the converter will return the shorter (but still correct) "9e59". |
155 // | 155 // |
156 // Returns true if the conversion succeeds. The conversion always succee
ds | 156 // Returns true if the conversion succeeds. The conversion always succee
ds |
157 // except when the input value is special and no infinity_symbol or | 157 // except when the input value is special and no infinity_symbol or |
158 // nan_symbol has been given to the constructor. | 158 // nan_symbol has been given to the constructor. |
159 bool ToShortest(double value, StringBuilder* result_builder) const; | 159 bool ToShortest(double value, StringBuilder* result_builder) const; |
160 | 160 |
161 | 161 |
162 // Computes a decimal representation with a fixed number of digits after
the | 162 // Computes a decimal representation with a fixed number of digits after
the |
163 // decimal point. The last emitted digit is rounded. | 163 // decimal point. The last emitted digit is rounded. |
164 // | 164 // |
165 // Examples: | 165 // Examples: |
166 // ToFixed(3.12, 1) -> "3.1" | 166 // ToFixed(3.12, 1) -> "3.1" |
167 // ToFixed(3.1415, 3) -> "3.142" | 167 // ToFixed(3.1415, 3) -> "3.142" |
168 // ToFixed(1234.56789, 4) -> "1234.5679" | 168 // ToFixed(1234.56789, 4) -> "1234.5679" |
169 // ToFixed(1.23, 5) -> "1.23000" | 169 // ToFixed(1.23, 5) -> "1.23000" |
170 // ToFixed(0.1, 4) -> "0.1000" | 170 // ToFixed(0.1, 4) -> "0.1000" |
171 // ToFixed(1e30, 2) -> "1000000000000000019884624838656.00" | 171 // ToFixed(1e30, 2) -> "1000000000000000019884624838656.00" |
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188 // - the input value is special and no infinity_symbol or nan_symbol h
as | 188 // - the input value is special and no infinity_symbol or nan_symbol h
as |
189 // been provided to the constructor, | 189 // been provided to the constructor, |
190 // - 'value' > 10^kMaxFixedDigitsBeforePoint, or | 190 // - 'value' > 10^kMaxFixedDigitsBeforePoint, or |
191 // - 'requested_digits' > kMaxFixedDigitsAfterPoint. | 191 // - 'requested_digits' > kMaxFixedDigitsAfterPoint. |
192 // The last two conditions imply that the result will never contain more
than | 192 // The last two conditions imply that the result will never contain more
than |
193 // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint charac
ters | 193 // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint charac
ters |
194 // (one additional character for the sign, and one for the decimal point
). | 194 // (one additional character for the sign, and one for the decimal point
). |
195 bool ToFixed(double value, | 195 bool ToFixed(double value, |
196 int requested_digits, | 196 int requested_digits, |
197 StringBuilder* result_builder) const; | 197 StringBuilder* result_builder) const; |
198 | 198 |
199 // Computes a representation in exponential format with requested_digits | 199 // Computes a representation in exponential format with requested_digits |
200 // after the decimal point. The last emitted digit is rounded. | 200 // after the decimal point. The last emitted digit is rounded. |
201 // If requested_digits equals -1, then the shortest exponential represen
tation | 201 // If requested_digits equals -1, then the shortest exponential represen
tation |
202 // is computed. | 202 // is computed. |
203 // | 203 // |
204 // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and | 204 // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and |
205 // exponent_character set to 'e'. | 205 // exponent_character set to 'e'. |
206 // ToExponential(3.12, 1) -> "3.1e0" | 206 // ToExponential(3.12, 1) -> "3.1e0" |
207 // ToExponential(5.0, 3) -> "5.000e0" | 207 // ToExponential(5.0, 3) -> "5.000e0" |
208 // ToExponential(0.001, 2) -> "1.00e-3" | 208 // ToExponential(0.001, 2) -> "1.00e-3" |
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220 // - the input value is special and no infinity_symbol or nan_symbol h
as | 220 // - the input value is special and no infinity_symbol or nan_symbol h
as |
221 // been provided to the constructor, | 221 // been provided to the constructor, |
222 // - 'requested_digits' > kMaxExponentialDigits. | 222 // - 'requested_digits' > kMaxExponentialDigits. |
223 // The last condition implies that the result will never contain more th
an | 223 // The last condition implies that the result will never contain more th
an |
224 // kMaxExponentialDigits + 8 characters (the sign, the digit before the | 224 // kMaxExponentialDigits + 8 characters (the sign, the digit before the |
225 // decimal point, the decimal point, the exponent character, the | 225 // decimal point, the decimal point, the exponent character, the |
226 // exponent's sign, and at most 3 exponent digits). | 226 // exponent's sign, and at most 3 exponent digits). |
227 bool ToExponential(double value, | 227 bool ToExponential(double value, |
228 int requested_digits, | 228 int requested_digits, |
229 StringBuilder* result_builder) const; | 229 StringBuilder* result_builder) const; |
230 | 230 |
231 // Computes 'precision' leading digits of the given 'value' and returns
them | 231 // Computes 'precision' leading digits of the given 'value' and returns
them |
232 // either in exponential or decimal format, depending on | 232 // either in exponential or decimal format, depending on |
233 // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the | 233 // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the |
234 // constructor). | 234 // constructor). |
235 // The last computed digit is rounded. | 235 // The last computed digit is rounded. |
236 // | 236 // |
237 // Example with max_leading_padding_zeroes_in_precision_mode = 6. | 237 // Example with max_leading_padding_zeroes_in_precision_mode = 6. |
238 // ToPrecision(0.0000012345, 2) -> "0.0000012" | 238 // ToPrecision(0.0000012345, 2) -> "0.0000012" |
239 // ToPrecision(0.00000012345, 2) -> "1.2e-7" | 239 // ToPrecision(0.00000012345, 2) -> "1.2e-7" |
240 // Similarily the converter may add up to | 240 // Similarily the converter may add up to |
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258 // - the input value is special and no infinity_symbol or nan_symbol h
as | 258 // - the input value is special and no infinity_symbol or nan_symbol h
as |
259 // been provided to the constructor, | 259 // been provided to the constructor, |
260 // - precision < kMinPericisionDigits | 260 // - precision < kMinPericisionDigits |
261 // - precision > kMaxPrecisionDigits | 261 // - precision > kMaxPrecisionDigits |
262 // The last condition implies that the result will never contain more th
an | 262 // The last condition implies that the result will never contain more th
an |
263 // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the | 263 // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the |
264 // exponent character, the exponent's sign, and at most 3 exponent digit
s). | 264 // exponent character, the exponent's sign, and at most 3 exponent digit
s). |
265 bool ToPrecision(double value, | 265 bool ToPrecision(double value, |
266 int precision, | 266 int precision, |
267 StringBuilder* result_builder) const; | 267 StringBuilder* result_builder) const; |
268 | 268 |
269 enum DtoaMode { | 269 enum DtoaMode { |
270 // Produce the shortest correct representation. | 270 // Produce the shortest correct representation. |
271 // For example the output of 0.299999999999999988897 is (the less ac
curate | 271 // For example the output of 0.299999999999999988897 is (the less ac
curate |
272 // but correct) 0.3. | 272 // but correct) 0.3. |
273 SHORTEST, | 273 SHORTEST, |
274 // Produce a fixed number of digits after the decimal point. | 274 // Produce a fixed number of digits after the decimal point. |
275 // For instance fixed(0.1, 4) becomes 0.1000 | 275 // For instance fixed(0.1, 4) becomes 0.1000 |
276 // If the input number is big, the output will be big. | 276 // If the input number is big, the output will be big. |
277 FIXED, | 277 FIXED, |
278 // Fixed number of digits (independent of the decimal point). | 278 // Fixed number of digits (independent of the decimal point). |
279 PRECISION | 279 PRECISION |
280 }; | 280 }; |
281 | 281 |
282 // The maximal number of digits that are needed to emit a double in base
10. | 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 shor
test | 283 // A higher precision can be achieved by using more digits, but the shor
test |
284 // accurate representation of any double will never use more digits than | 284 // accurate representation of any double will never use more digits than |
285 // kBase10MaximalLength. | 285 // kBase10MaximalLength. |
286 // Note that DoubleToAscii null-terminates its input. So the given buffe
r | 286 // Note that DoubleToAscii null-terminates its input. So the given buffe
r |
287 // should be at least kBase10MaximalLength + 1 characters long. | 287 // should be at least kBase10MaximalLength + 1 characters long. |
288 static const int kBase10MaximalLength = 17; | 288 static const int kBase10MaximalLength = 17; |
289 | 289 |
290 // Converts the given double 'v' to ascii. | 290 // Converts the given double 'v' to ascii. |
291 // The result should be interpreted as buffer * 10^(point-length). | 291 // The result should be interpreted as buffer * 10^(point-length). |
292 // | 292 // |
293 // The output depends on the given mode: | 293 // The output depends on the given mode: |
294 // - SHORTEST: produce the least amount of digits for which the interna
l | 294 // - SHORTEST: produce the least amount of digits for which the interna
l |
295 // identity requirement is still satisfied. If the digits are printed | 295 // identity requirement is still satisfied. If the digits are printed |
296 // (together with the correct exponent) then reading this number will
give | 296 // (together with the correct exponent) then reading this number will
give |
297 // 'v' again. The buffer will choose the representation that is closes
t to | 297 // 'v' again. The buffer will choose the representation that is closes
t to |
298 // 'v'. If there are two at the same distance, than the one farther aw
ay | 298 // 'v'. If there are two at the same distance, than the one farther aw
ay |
299 // from 0 is chosen (halfway cases - ending with 5 - are rounded up). | 299 // from 0 is chosen (halfway cases - ending with 5 - are rounded up). |
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319 // the output. The given length is only used in debug mode to ensure the | 319 // the output. The given length is only used in debug mode to ensure the |
320 // buffer is big enough. | 320 // buffer is big enough. |
321 static void DoubleToAscii(double v, | 321 static void DoubleToAscii(double v, |
322 DtoaMode mode, | 322 DtoaMode mode, |
323 int requested_digits, | 323 int requested_digits, |
324 char* buffer, | 324 char* buffer, |
325 int buffer_length, | 325 int buffer_length, |
326 bool* sign, | 326 bool* sign, |
327 int* length, | 327 int* length, |
328 int* point); | 328 int* point); |
329 | 329 |
330 private: | 330 private: |
331 // If the value is a special value (NaN or Infinity) constructs the | 331 // If the value is a special value (NaN or Infinity) constructs the |
332 // corresponding string using the configured infinity/nan-symbol. | 332 // corresponding string using the configured infinity/nan-symbol. |
333 // If either of them is NULL or the value is not special then the | 333 // If either of them is NULL or the value is not special then the |
334 // function returns false. | 334 // function returns false. |
335 bool HandleSpecialValues(double value, StringBuilder* result_builder) co
nst; | 335 bool HandleSpecialValues(double value, StringBuilder* result_builder) co
nst; |
336 // Constructs an exponential representation (i.e. 1.234e56). | 336 // Constructs an exponential representation (i.e. 1.234e56). |
337 // The given exponent assumes a decimal point after the first decimal di
git. | 337 // The given exponent assumes a decimal point after the first decimal di
git. |
338 void CreateExponentialRepresentation(const char* decimal_digits, | 338 void CreateExponentialRepresentation(const char* decimal_digits, |
339 int length, | 339 int length, |
340 int exponent, | 340 int exponent, |
341 StringBuilder* result_builder) cons
t; | 341 StringBuilder* result_builder) cons
t; |
342 // Creates a decimal representation (i.e 1234.5678). | 342 // Creates a decimal representation (i.e 1234.5678). |
343 void CreateDecimalRepresentation(const char* decimal_digits, | 343 void CreateDecimalRepresentation(const char* decimal_digits, |
344 int length, | 344 int length, |
345 int decimal_point, | 345 int decimal_point, |
346 int digits_after_point, | 346 int digits_after_point, |
347 StringBuilder* result_builder) const; | 347 StringBuilder* result_builder) const; |
348 | 348 |
349 const int flags_; | 349 const int flags_; |
350 const char* const infinity_symbol_; | 350 const char* const infinity_symbol_; |
351 const char* const nan_symbol_; | 351 const char* const nan_symbol_; |
352 const char exponent_character_; | 352 const char exponent_character_; |
353 const int decimal_in_shortest_low_; | 353 const int decimal_in_shortest_low_; |
354 const int decimal_in_shortest_high_; | 354 const int decimal_in_shortest_high_; |
355 const int max_leading_padding_zeroes_in_precision_mode_; | 355 const int max_leading_padding_zeroes_in_precision_mode_; |
356 const int max_trailing_padding_zeroes_in_precision_mode_; | 356 const int max_trailing_padding_zeroes_in_precision_mode_; |
357 | 357 |
358 DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter); | 358 DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter); |
359 }; | 359 }; |
360 | 360 |
361 | 361 |
362 class StringToDoubleConverter { | 362 class StringToDoubleConverter { |
363 public: | 363 public: |
364 // Performs the conversion. | 364 // Performs the conversion. |
365 // The output parameter 'processed_characters_count' is set to the numbe
r | 365 // The output parameter 'processed_characters_count' is set to the numbe
r |
366 // of characters that have been processed to read 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); | 367 static double StringToDouble(const char* buffer, size_t length, size_t*
processed_characters_count); |
368 | 368 |
369 private: | 369 private: |
370 DISALLOW_IMPLICIT_CONSTRUCTORS(StringToDoubleConverter); | 370 DISALLOW_IMPLICIT_CONSTRUCTORS(StringToDoubleConverter); |
371 }; | 371 }; |
372 | 372 |
373 } // namespace double_conversion | 373 } // namespace double_conversion |
374 | 374 |
375 } // namespace WTF | 375 } // namespace WTF |
376 | 376 |
377 #endif // DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ | 377 #endif // DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ |
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