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1 /*
2  *  Copyright (C) 1999-2000,2003 Harri Porten (porten@kde.org)
3  *  Copyright (C) 2007, 2008 Apple Inc. All rights reserved.
4  *
5  *  This library is free software; you can redistribute it and/or
6  *  modify it under the terms of the GNU Lesser General Public
7  *  License as published by the Free Software Foundation; either
8  *  version 2 of the License, or (at your option) any later version.
9  *
10  *  This library is distributed in the hope that it will be useful,
11  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
12  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
13  *  Lesser General Public License for more details.
14  *
15  *  You should have received a copy of the GNU Lesser General Public
16  *  License along with this library; if not, write to the Free Software
17  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301
18  *  USA
19  *
20  */
21 
22 #include "config.h"
23 #include "NumberPrototype.h"
24 
25 #include "Error.h"
26 #include "JSFunction.h"
27 #include "JSString.h"
28 #include "JSStringBuilder.h"
29 #include "Operations.h"
30 #include "PrototypeFunction.h"
31 #include "StringBuilder.h"
32 #include "dtoa.h"
33 #include <wtf/Assertions.h>
34 #include <wtf/MathExtras.h>
35 #include <wtf/Vector.h>
36 
37 namespace JSC {
38 
39 ASSERT_CLASS_FITS_IN_CELL(NumberPrototype);
40 
41 static JSValue JSC_HOST_CALL numberProtoFuncToString(ExecState*, JSObject*, JSValue, const ArgList&);
42 static JSValue JSC_HOST_CALL numberProtoFuncToLocaleString(ExecState*, JSObject*, JSValue, const ArgList&);
43 static JSValue JSC_HOST_CALL numberProtoFuncValueOf(ExecState*, JSObject*, JSValue, const ArgList&);
44 static JSValue JSC_HOST_CALL numberProtoFuncToFixed(ExecState*, JSObject*, JSValue, const ArgList&);
45 static JSValue JSC_HOST_CALL numberProtoFuncToExponential(ExecState*, JSObject*, JSValue, const ArgList&);
46 static JSValue JSC_HOST_CALL numberProtoFuncToPrecision(ExecState*, JSObject*, JSValue, const ArgList&);
47 
48 // ECMA 15.7.4
49 
NumberPrototype(ExecState * exec,NonNullPassRefPtr<Structure> structure,Structure * prototypeFunctionStructure)50 NumberPrototype::NumberPrototype(ExecState* exec, NonNullPassRefPtr<Structure> structure, Structure* prototypeFunctionStructure)
51     : NumberObject(structure)
52 {
53     setInternalValue(jsNumber(exec, 0));
54 
55     // The constructor will be added later, after NumberConstructor has been constructed
56 
57     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 1, exec->propertyNames().toString, numberProtoFuncToString), DontEnum);
58     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 0, exec->propertyNames().toLocaleString, numberProtoFuncToLocaleString), DontEnum);
59     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 0, exec->propertyNames().valueOf, numberProtoFuncValueOf), DontEnum);
60     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 1, exec->propertyNames().toFixed, numberProtoFuncToFixed), DontEnum);
61     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 1, exec->propertyNames().toExponential, numberProtoFuncToExponential), DontEnum);
62     putDirectFunctionWithoutTransition(exec, new (exec) NativeFunctionWrapper(exec, prototypeFunctionStructure, 1, exec->propertyNames().toPrecision, numberProtoFuncToPrecision), DontEnum);
63 }
64 
65 // ------------------------------ Functions ---------------------------
66 
67 // ECMA 15.7.4.2 - 15.7.4.7
68 
integerPartNoExp(double d)69 static UString integerPartNoExp(double d)
70 {
71     int decimalPoint;
72     int sign;
73     char result[80];
74     WTF::dtoa(result, d, 0, &decimalPoint, &sign, NULL);
75     bool resultIsInfOrNan = (decimalPoint == 9999);
76     size_t length = strlen(result);
77 
78     StringBuilder builder;
79     builder.append(sign ? "-" : "");
80     if (resultIsInfOrNan)
81         builder.append((const char*)result);
82     else if (decimalPoint <= 0)
83         builder.append("0");
84     else {
85         Vector<char, 1024> buf(decimalPoint + 1);
86 
87         if (static_cast<int>(length) <= decimalPoint) {
88             ASSERT(decimalPoint < 1024);
89             memcpy(buf.data(), result, length);
90             memset(buf.data() + length, '0', decimalPoint - length);
91         } else
92             strncpy(buf.data(), result, decimalPoint);
93         buf[decimalPoint] = '\0';
94 
95         builder.append((const char*)(buf.data()));
96     }
97 
98     return builder.build();
99 }
100 
charSequence(char c,int count)101 static UString charSequence(char c, int count)
102 {
103     Vector<char, 2048> buf(count + 1, c);
104     buf[count] = '\0';
105 
106     return UString(buf.data());
107 }
108 
intPow10(int e)109 static double intPow10(int e)
110 {
111     // This function uses the "exponentiation by squaring" algorithm and
112     // long double to quickly and precisely calculate integer powers of 10.0.
113 
114     // This is a handy workaround for <rdar://problem/4494756>
115 
116     if (e == 0)
117         return 1.0;
118 
119     bool negative = e < 0;
120     unsigned exp = negative ? -e : e;
121 
122     long double result = 10.0;
123     bool foundOne = false;
124     for (int bit = 31; bit >= 0; bit--) {
125         if (!foundOne) {
126             if ((exp >> bit) & 1)
127                 foundOne = true;
128         } else {
129             result = result * result;
130             if ((exp >> bit) & 1)
131                 result = result * 10.0;
132         }
133     }
134 
135     if (negative)
136         return static_cast<double>(1.0 / result);
137     return static_cast<double>(result);
138 }
139 
numberProtoFuncToString(ExecState * exec,JSObject *,JSValue thisValue,const ArgList & args)140 JSValue JSC_HOST_CALL numberProtoFuncToString(ExecState* exec, JSObject*, JSValue thisValue, const ArgList& args)
141 {
142     JSValue v = thisValue.getJSNumber();
143     if (!v)
144         return throwError(exec, TypeError);
145 
146     double radixAsDouble = args.at(0).toInteger(exec); // nan -> 0
147     if (radixAsDouble == 10 || args.at(0).isUndefined())
148         return jsString(exec, v.toString(exec));
149 
150     if (radixAsDouble < 2 || radixAsDouble > 36)
151         return throwError(exec, RangeError, "toString() radix argument must be between 2 and 36");
152 
153     int radix = static_cast<int>(radixAsDouble);
154     const char digits[] = "0123456789abcdefghijklmnopqrstuvwxyz";
155     // INT_MAX results in 1024 characters left of the dot with radix 2
156     // give the same space on the right side. safety checks are in place
157     // unless someone finds a precise rule.
158     char s[2048 + 3];
159     const char* lastCharInString = s + sizeof(s) - 1;
160     double x = v.uncheckedGetNumber();
161     if (isnan(x) || isinf(x))
162         return jsString(exec, UString::from(x));
163 
164     bool isNegative = x < 0.0;
165     if (isNegative)
166         x = -x;
167 
168     double integerPart = floor(x);
169     char* decimalPoint = s + sizeof(s) / 2;
170 
171     // convert integer portion
172     char* p = decimalPoint;
173     double d = integerPart;
174     do {
175         int remainderDigit = static_cast<int>(fmod(d, radix));
176         *--p = digits[remainderDigit];
177         d /= radix;
178     } while ((d <= -1.0 || d >= 1.0) && s < p);
179 
180     if (isNegative)
181         *--p = '-';
182     char* startOfResultString = p;
183     ASSERT(s <= startOfResultString);
184 
185     d = x - integerPart;
186     p = decimalPoint;
187     const double epsilon = 0.001; // TODO: guessed. base on radix ?
188     bool hasFractionalPart = (d < -epsilon || d > epsilon);
189     if (hasFractionalPart) {
190         *p++ = '.';
191         do {
192             d *= radix;
193             const int digit = static_cast<int>(d);
194             *p++ = digits[digit];
195             d -= digit;
196         } while ((d < -epsilon || d > epsilon) && p < lastCharInString);
197     }
198     *p = '\0';
199     ASSERT(p < s + sizeof(s));
200 
201     return jsString(exec, startOfResultString);
202 }
203 
numberProtoFuncToLocaleString(ExecState * exec,JSObject *,JSValue thisValue,const ArgList &)204 JSValue JSC_HOST_CALL numberProtoFuncToLocaleString(ExecState* exec, JSObject*, JSValue thisValue, const ArgList&)
205 {
206     // FIXME: Not implemented yet.
207 
208     JSValue v = thisValue.getJSNumber();
209     if (!v)
210         return throwError(exec, TypeError);
211 
212     return jsString(exec, v.toString(exec));
213 }
214 
numberProtoFuncValueOf(ExecState * exec,JSObject *,JSValue thisValue,const ArgList &)215 JSValue JSC_HOST_CALL numberProtoFuncValueOf(ExecState* exec, JSObject*, JSValue thisValue, const ArgList&)
216 {
217     JSValue v = thisValue.getJSNumber();
218     if (!v)
219         return throwError(exec, TypeError);
220 
221     return v;
222 }
223 
numberProtoFuncToFixed(ExecState * exec,JSObject *,JSValue thisValue,const ArgList & args)224 JSValue JSC_HOST_CALL numberProtoFuncToFixed(ExecState* exec, JSObject*, JSValue thisValue, const ArgList& args)
225 {
226     JSValue v = thisValue.getJSNumber();
227     if (!v)
228         return throwError(exec, TypeError);
229 
230     JSValue fractionDigits = args.at(0);
231     double df = fractionDigits.toInteger(exec);
232     if (!(df >= 0 && df <= 20))
233         return throwError(exec, RangeError, "toFixed() digits argument must be between 0 and 20");
234     int f = static_cast<int>(df);
235 
236     double x = v.uncheckedGetNumber();
237     if (isnan(x))
238         return jsNontrivialString(exec, "NaN");
239 
240     UString s;
241     if (x < 0) {
242         s = "-";
243         x = -x;
244     } else {
245         s = "";
246         if (x == -0.0)
247             x = 0;
248     }
249 
250     if (x >= pow(10.0, 21.0))
251         return jsString(exec, makeString(s, UString::from(x)));
252 
253     const double tenToTheF = pow(10.0, f);
254     double n = floor(x * tenToTheF);
255     if (fabs(n / tenToTheF - x) >= fabs((n + 1) / tenToTheF - x))
256         n++;
257 
258     UString m = integerPartNoExp(n);
259 
260     int k = m.size();
261     if (k <= f) {
262         StringBuilder z;
263         for (int i = 0; i < f + 1 - k; i++)
264             z.append('0');
265         z.append(m);
266         m = z.build();
267         k = f + 1;
268         ASSERT(k == m.size());
269     }
270     int kMinusf = k - f;
271 
272     if (kMinusf < m.size())
273         return jsString(exec, makeString(s, m.substr(0, kMinusf), ".", m.substr(kMinusf)));
274     return jsString(exec, makeString(s, m.substr(0, kMinusf)));
275 }
276 
fractionalPartToString(char * buf,int & i,const char * result,int resultLength,int fractionalDigits)277 static void fractionalPartToString(char* buf, int& i, const char* result, int resultLength, int fractionalDigits)
278 {
279     if (fractionalDigits <= 0)
280         return;
281 
282     int fDigitsInResult = static_cast<int>(resultLength) - 1;
283     buf[i++] = '.';
284     if (fDigitsInResult > 0) {
285         if (fractionalDigits < fDigitsInResult) {
286             strncpy(buf + i, result + 1, fractionalDigits);
287             i += fractionalDigits;
288         } else {
289             ASSERT(i + resultLength - 1 < 80);
290             memcpy(buf + i, result + 1, resultLength - 1);
291             i += static_cast<int>(resultLength) - 1;
292         }
293     }
294 
295     for (int j = 0; j < fractionalDigits - fDigitsInResult; j++)
296         buf[i++] = '0';
297 }
298 
exponentialPartToString(char * buf,int & i,int decimalPoint)299 static void exponentialPartToString(char* buf, int& i, int decimalPoint)
300 {
301     buf[i++] = 'e';
302     // decimalPoint can't be more than 3 digits decimal given the
303     // nature of float representation
304     int exponential = decimalPoint - 1;
305     buf[i++] = (exponential >= 0) ? '+' : '-';
306     if (exponential < 0)
307         exponential *= -1;
308     if (exponential >= 100)
309         buf[i++] = static_cast<char>('0' + exponential / 100);
310     if (exponential >= 10)
311         buf[i++] = static_cast<char>('0' + (exponential % 100) / 10);
312     buf[i++] = static_cast<char>('0' + exponential % 10);
313 }
314 
numberProtoFuncToExponential(ExecState * exec,JSObject *,JSValue thisValue,const ArgList & args)315 JSValue JSC_HOST_CALL numberProtoFuncToExponential(ExecState* exec, JSObject*, JSValue thisValue, const ArgList& args)
316 {
317     JSValue v = thisValue.getJSNumber();
318     if (!v)
319         return throwError(exec, TypeError);
320 
321     double x = v.uncheckedGetNumber();
322 
323     if (isnan(x) || isinf(x))
324         return jsString(exec, UString::from(x));
325 
326     JSValue fractionalDigitsValue = args.at(0);
327     double df = fractionalDigitsValue.toInteger(exec);
328     if (!(df >= 0 && df <= 20))
329         return throwError(exec, RangeError, "toExponential() argument must between 0 and 20");
330     int fractionalDigits = static_cast<int>(df);
331     bool includeAllDigits = fractionalDigitsValue.isUndefined();
332 
333     int decimalAdjust = 0;
334     if (x && !includeAllDigits) {
335         double logx = floor(log10(fabs(x)));
336         x /= pow(10.0, logx);
337         const double tenToTheF = pow(10.0, fractionalDigits);
338         double fx = floor(x * tenToTheF) / tenToTheF;
339         double cx = ceil(x * tenToTheF) / tenToTheF;
340 
341         if (fabs(fx - x) < fabs(cx - x))
342             x = fx;
343         else
344             x = cx;
345 
346         decimalAdjust = static_cast<int>(logx);
347     }
348 
349     if (isnan(x))
350         return jsNontrivialString(exec, "NaN");
351 
352     if (x == -0.0) // (-0.0).toExponential() should print as 0 instead of -0
353         x = 0;
354 
355     int decimalPoint;
356     int sign;
357     char result[80];
358     WTF::dtoa(result, x, 0, &decimalPoint, &sign, NULL);
359     size_t resultLength = strlen(result);
360     decimalPoint += decimalAdjust;
361 
362     int i = 0;
363     char buf[80]; // digit + '.' + fractionDigits (max 20) + 'e' + sign + exponent (max?)
364     if (sign)
365         buf[i++] = '-';
366 
367     // ? 9999 is the magical "result is Inf or NaN" value.  what's 999??
368     if (decimalPoint == 999) {
369         ASSERT(i + resultLength < 80);
370         memcpy(buf + i, result, resultLength);
371         buf[i + resultLength] = '\0';
372     } else {
373         buf[i++] = result[0];
374 
375         if (includeAllDigits)
376             fractionalDigits = static_cast<int>(resultLength) - 1;
377 
378         fractionalPartToString(buf, i, result, resultLength, fractionalDigits);
379         exponentialPartToString(buf, i, decimalPoint);
380         buf[i++] = '\0';
381     }
382     ASSERT(i <= 80);
383 
384     return jsString(exec, buf);
385 }
386 
numberProtoFuncToPrecision(ExecState * exec,JSObject *,JSValue thisValue,const ArgList & args)387 JSValue JSC_HOST_CALL numberProtoFuncToPrecision(ExecState* exec, JSObject*, JSValue thisValue, const ArgList& args)
388 {
389     JSValue v = thisValue.getJSNumber();
390     if (!v)
391         return throwError(exec, TypeError);
392 
393     double doublePrecision = args.at(0).toIntegerPreserveNaN(exec);
394     double x = v.uncheckedGetNumber();
395     if (args.at(0).isUndefined() || isnan(x) || isinf(x))
396         return jsString(exec, v.toString(exec));
397 
398     UString s;
399     if (x < 0) {
400         s = "-";
401         x = -x;
402     } else
403         s = "";
404 
405     if (!(doublePrecision >= 1 && doublePrecision <= 21)) // true for NaN
406         return throwError(exec, RangeError, "toPrecision() argument must be between 1 and 21");
407     int precision = static_cast<int>(doublePrecision);
408 
409     int e = 0;
410     UString m;
411     if (x) {
412         e = static_cast<int>(log10(x));
413         double tens = intPow10(e - precision + 1);
414         double n = floor(x / tens);
415         if (n < intPow10(precision - 1)) {
416             e = e - 1;
417             tens = intPow10(e - precision + 1);
418             n = floor(x / tens);
419         }
420 
421         if (fabs((n + 1.0) * tens - x) <= fabs(n * tens - x))
422             ++n;
423         // maintain n < 10^(precision)
424         if (n >= intPow10(precision)) {
425             n /= 10.0;
426             e += 1;
427         }
428         ASSERT(intPow10(precision - 1) <= n);
429         ASSERT(n < intPow10(precision));
430 
431         m = integerPartNoExp(n);
432         if (e < -6 || e >= precision) {
433             if (m.size() > 1)
434                 m = makeString(m.substr(0, 1), ".", m.substr(1));
435             if (e >= 0)
436                 return jsMakeNontrivialString(exec, s, m, "e+", UString::from(e));
437             return jsMakeNontrivialString(exec, s, m, "e-", UString::from(-e));
438         }
439     } else {
440         m = charSequence('0', precision);
441         e = 0;
442     }
443 
444     if (e == precision - 1)
445         return jsString(exec, makeString(s, m));
446     if (e >= 0) {
447         if (e + 1 < m.size())
448             return jsString(exec, makeString(s, m.substr(0, e + 1), ".", m.substr(e + 1)));
449         return jsString(exec, makeString(s, m));
450     }
451     return jsMakeNontrivialString(exec, s, "0.", charSequence('0', -(e + 1)), m);
452 }
453 
454 } // namespace JSC
455