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1 // Copyright 2010 the V8 project authors. All rights reserved. | 1 // Copyright 2017 The Chromium Authors. All rights reserved. |
2 // Redistribution and use in source and binary forms, with or without | 2 // Use of this source code is governed by a BSD-style license that can be |
3 // modification, are permitted provided that the following conditions are | 3 // found in the LICENSE file. |
4 // met: | |
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14 // from this software without specific prior written permission. | |
15 // | |
16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
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19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | |
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23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | |
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27 | 4 |
28 #ifndef DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ | 5 #include "platform/wtf/dtoa/double-conversion.h" |
29 #define DOUBLE_CONVERSION_DOUBLE_CONVERSION_H_ | |
30 | 6 |
31 #include "wtf/dtoa/utils.h" | 7 // The contents of this header was moved to platform/wtf as part of |
32 | 8 // WTF migration project. See the following post for details: |
33 namespace WTF { | 9 // https://groups.google.com/a/chromium.org/d/msg/blink-dev/tLdAZCTlcAA/bYXVT8gY
CAAJ |
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 DCHECK(((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 // Computes a decimal representation with a fixed number of digits after the | |
162 // decimal point. The last emitted digit is rounded. | |
163 // | |
164 // Examples: | |
165 // ToFixed(3.12, 1) -> "3.1" | |
166 // ToFixed(3.1415, 3) -> "3.142" | |
167 // ToFixed(1234.56789, 4) -> "1234.5679" | |
168 // ToFixed(1.23, 5) -> "1.23000" | |
169 // ToFixed(0.1, 4) -> "0.1000" | |
170 // ToFixed(1e30, 2) -> "1000000000000000019884624838656.00" | |
171 // ToFixed(0.1, 30) -> "0.100000000000000005551115123126" | |
172 // ToFixed(0.1, 17) -> "0.10000000000000001" | |
173 // | |
174 // If requested_digits equals 0, then the tail of the result depends on | |
175 // the EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT. | |
176 // Examples, for requested_digits == 0, | |
177 // let EMIT_TRAILING_DECIMAL_POINT and EMIT_TRAILING_ZERO_AFTER_POINT be | |
178 // - false and false: then 123.45 -> 123 | |
179 // 0.678 -> 1 | |
180 // - true and false: then 123.45 -> 123. | |
181 // 0.678 -> 1. | |
182 // - true and true: then 123.45 -> 123.0 | |
183 // 0.678 -> 1.0 | |
184 // | |
185 // Returns true if the conversion succeeds. The conversion always succeeds | |
186 // except for the following cases: | |
187 // - the input value is special and no infinity_symbol or nan_symbol has | |
188 // been provided to the constructor, | |
189 // - 'value' > 10^kMaxFixedDigitsBeforePoint, or | |
190 // - 'requested_digits' > kMaxFixedDigitsAfterPoint. | |
191 // The last two conditions imply that the result will never contain more than | |
192 // 1 + kMaxFixedDigitsBeforePoint + 1 + kMaxFixedDigitsAfterPoint characters | |
193 // (one additional character for the sign, and one for the decimal point). | |
194 bool ToFixed(double value, | |
195 int requested_digits, | |
196 StringBuilder* result_builder) const; | |
197 | |
198 // Computes a representation in exponential format with requested_digits | |
199 // after the decimal point. The last emitted digit is rounded. | |
200 // If requested_digits equals -1, then the shortest exponential representation | |
201 // is computed. | |
202 // | |
203 // Examples with EMIT_POSITIVE_EXPONENT_SIGN deactivated, and | |
204 // exponent_character set to 'e'. | |
205 // ToExponential(3.12, 1) -> "3.1e0" | |
206 // ToExponential(5.0, 3) -> "5.000e0" | |
207 // ToExponential(0.001, 2) -> "1.00e-3" | |
208 // ToExponential(3.1415, -1) -> "3.1415e0" | |
209 // ToExponential(3.1415, 4) -> "3.1415e0" | |
210 // ToExponential(3.1415, 3) -> "3.142e0" | |
211 // ToExponential(123456789000000, 3) -> "1.235e14" | |
212 // ToExponential(1000000000000000019884624838656.0, -1) -> "1e30" | |
213 // ToExponential(1000000000000000019884624838656.0, 32) -> | |
214 // "1.00000000000000001988462483865600e30" | |
215 // ToExponential(1234, 0) -> "1e3" | |
216 // | |
217 // Returns true if the conversion succeeds. The conversion always succeeds | |
218 // except for the following cases: | |
219 // - the input value is special and no infinity_symbol or nan_symbol has | |
220 // been provided to the constructor, | |
221 // - 'requested_digits' > kMaxExponentialDigits. | |
222 // The last condition implies that the result will never contain more than | |
223 // kMaxExponentialDigits + 8 characters (the sign, the digit before the | |
224 // decimal point, the decimal point, the exponent character, the | |
225 // exponent's sign, and at most 3 exponent digits). | |
226 bool ToExponential(double value, | |
227 int requested_digits, | |
228 StringBuilder* result_builder) const; | |
229 | |
230 // Computes 'precision' leading digits of the given 'value' and returns them | |
231 // either in exponential or decimal format, depending on | |
232 // max_{leading|trailing}_padding_zeroes_in_precision_mode (given to the | |
233 // constructor). | |
234 // The last computed digit is rounded. | |
235 // | |
236 // Example with max_leading_padding_zeroes_in_precision_mode = 6. | |
237 // ToPrecision(0.0000012345, 2) -> "0.0000012" | |
238 // ToPrecision(0.00000012345, 2) -> "1.2e-7" | |
239 // Similarily the converter may add up to | |
240 // max_trailing_padding_zeroes_in_precision_mode in precision mode to avoid | |
241 // returning an exponential representation. A zero added by the | |
242 // EMIT_TRAILING_ZERO_AFTER_POINT flag is counted for this limit. | |
243 // Examples for max_trailing_padding_zeroes_in_precision_mode = 1: | |
244 // ToPrecision(230.0, 2) -> "230" | |
245 // ToPrecision(230.0, 2) -> "230." with EMIT_TRAILING_DECIMAL_POINT. | |
246 // ToPrecision(230.0, 2) -> "2.3e2" with EMIT_TRAILING_ZERO_AFTER_POINT. | |
247 // Examples for max_trailing_padding_zeroes_in_precision_mode = 3, and no | |
248 // EMIT_TRAILING_ZERO_AFTER_POINT: | |
249 // ToPrecision(123450.0, 6) -> "123450" | |
250 // ToPrecision(123450.0, 5) -> "123450" | |
251 // ToPrecision(123450.0, 4) -> "123500" | |
252 // ToPrecision(123450.0, 3) -> "123000" | |
253 // ToPrecision(123450.0, 2) -> "1.2e5" | |
254 // | |
255 // Returns true if the conversion succeeds. The conversion always succeeds | |
256 // except for the following cases: | |
257 // - the input value is special and no infinity_symbol or nan_symbol has | |
258 // been provided to the constructor, | |
259 // - precision < kMinPericisionDigits | |
260 // - precision > kMaxPrecisionDigits | |
261 // The last condition implies that the result will never contain more than | |
262 // kMaxPrecisionDigits + 7 characters (the sign, the decimal point, the | |
263 // exponent character, the exponent's sign, and at most 3 exponent digits). | |
264 bool ToPrecision(double value, | |
265 int precision, | |
266 StringBuilder* result_builder) const; | |
267 | |
268 enum DtoaMode { | |
269 // Produce the shortest correct representation. | |
270 // For example the output of 0.299999999999999988897 is (the less accurate | |
271 // but correct) 0.3. | |
272 SHORTEST, | |
273 // Produce a fixed number of digits after the decimal point. | |
274 // For instance fixed(0.1, 4) becomes 0.1000 | |
275 // If the input number is big, the output will be big. | |
276 FIXED, | |
277 // Fixed number of digits (independent of the decimal point). | |
278 PRECISION | |
279 }; | |
280 | |
281 // The maximal number of digits that are needed to emit a double in base 10. | |
282 // A higher precision can be achieved by using more digits, but the shortest | |
283 // accurate representation of any double will never use more digits than | |
284 // kBase10MaximalLength. | |
285 // Note that DoubleToAscii null-terminates its input. So the given buffer | |
286 // should be at least kBase10MaximalLength + 1 characters long. | |
287 static const int kBase10MaximalLength = 17; | |
288 | |
289 // Converts the given double 'v' to ascii. | |
290 // The result should be interpreted as buffer * 10^(point-length). | |
291 // | |
292 // The output depends on the given mode: | |
293 // - SHORTEST: produce the least amount of digits for which the internal | |
294 // identity requirement is still satisfied. If the digits are printed | |
295 // (together with the correct exponent) then reading this number will give | |
296 // 'v' again. The buffer will choose the representation that is closest to | |
297 // 'v'. If there are two at the same distance, than the one farther away | |
298 // from 0 is chosen (halfway cases - ending with 5 - are rounded up). | |
299 // In this mode the 'requested_digits' parameter is ignored. | |
300 // - FIXED: produces digits necessary to print a given number with | |
301 // 'requested_digits' digits after the decimal point. The produced digits | |
302 // might be too short in which case the caller has to fill the remainder | |
303 // with '0's. | |
304 // Example: toFixed(0.001, 5) is allowed to return buffer="1", point=-2. | |
305 // Halfway cases are rounded towards +/-Infinity (away from 0). The call | |
306 // toFixed(0.15, 2) thus returns buffer="2", point=0. | |
307 // The returned buffer may contain digits that would be truncated from the | |
308 // shortest representation of the input. | |
309 // - PRECISION: produces 'requested_digits' where the first digit is not '0'. | |
310 // Even though the length of produced digits usually equals | |
311 // 'requested_digits', the function is allowed to return fewer digits, in | |
312 // which case the caller has to fill the missing digits with '0's. | |
313 // Halfway cases are again rounded away from 0. | |
314 // DoubleToAscii expects the given buffer to be big enough to hold all | |
315 // digits and a terminating null-character. In SHORTEST-mode it expects a | |
316 // buffer of at least kBase10MaximalLength + 1. In all other modes the | |
317 // requested_digits parameter (+ 1 for the null-character) limits the size of | |
318 // the output. The given length is only used in debug mode to ensure the | |
319 // buffer is big enough. | |
320 static void DoubleToAscii(double v, | |
321 DtoaMode mode, | |
322 int requested_digits, | |
323 char* buffer, | |
324 int buffer_length, | |
325 bool* sign, | |
326 int* length, | |
327 int* point); | |
328 | |
329 private: | |
330 // If the value is a special value (NaN or Infinity) constructs the | |
331 // corresponding string using the configured infinity/nan-symbol. | |
332 // If either of them is NULL or the value is not special then the | |
333 // function returns false. | |
334 bool HandleSpecialValues(double value, StringBuilder* result_builder) const; | |
335 // Constructs an exponential representation (i.e. 1.234e56). | |
336 // The given exponent assumes a decimal point after the first decimal digit. | |
337 void CreateExponentialRepresentation(const char* decimal_digits, | |
338 int length, | |
339 int exponent, | |
340 StringBuilder* result_builder) const; | |
341 // Creates a decimal representation (i.e 1234.5678). | |
342 void CreateDecimalRepresentation(const char* decimal_digits, | |
343 int length, | |
344 int decimal_point, | |
345 int digits_after_point, | |
346 StringBuilder* result_builder) const; | |
347 | |
348 const int flags_; | |
349 const char* const infinity_symbol_; | |
350 const char* const nan_symbol_; | |
351 const char exponent_character_; | |
352 const int decimal_in_shortest_low_; | |
353 const int decimal_in_shortest_high_; | |
354 const int max_leading_padding_zeroes_in_precision_mode_; | |
355 const int max_trailing_padding_zeroes_in_precision_mode_; | |
356 | |
357 DISALLOW_IMPLICIT_CONSTRUCTORS(DoubleToStringConverter); | |
358 }; | |
359 | |
360 class StringToDoubleConverter { | |
361 public: | |
362 // Performs the conversion. | |
363 // The output parameter 'processed_characters_count' is set to the number | |
364 // of characters that have been processed to read the number. | |
365 static double StringToDouble(const char* buffer, | |
366 size_t length, | |
367 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_ | |
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