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      1 /*
      2  *  Copyright (C) 1999-2000,2003 Harri Porten (porten (at) 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 
     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 
     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 
    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 
    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 
    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 
    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 
    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 
    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 
    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 
    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 
    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 
    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