gecko/js/src/jsnum.cpp

/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*-
 *
 * This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

/*
 * JS number type and wrapper class.
 */

#include "mozilla/FloatingPoint.h"
#include "mozilla/RangedPtr.h"

#include "double-conversion.h"
// Avoid warnings about ASSERT being defined by the assembler as well.
#undef ASSERT

#ifdef XP_OS2
#define _PC_53  PC_53
#define _MCW_EM MCW_EM
#define _MCW_PC MCW_PC
#endif
#include <locale.h>
#include <limits.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>

#include "jstypes.h"
#include "jsutil.h"
#include "jsapi.h"
#include "jsatom.h"
#include "jscntxt.h"
#include "jsversion.h"
#include "jsdtoa.h"
#include "jsgc.h"
#include "jsinterp.h"
#include "jsnum.h"
#include "jsobj.h"
#include "jsopcode.h"
#include "jsprf.h"
#include "jsscope.h"
#include "jsstr.h"
#include "jslibmath.h"

#include "vm/GlobalObject.h"
#include "vm/NumericConversions.h"
#include "vm/StringBuffer.h"

#include "jsatominlines.h"
#include "jsinferinlines.h"
#include "jsnuminlines.h"
#include "jsobjinlines.h"

#include "vm/NumberObject-inl.h"
#include "vm/String-inl.h"

using namespace js;
using namespace js::types;

/*
 * If we're accumulating a decimal number and the number is >= 2^53, then the
 * fast result from the loop in GetPrefixInteger may be inaccurate. Call
 * js_strtod_harder to get the correct answer.
 */
static bool
ComputeAccurateDecimalInteger(JSContext *cx, const jschar *start, const jschar *end, double *dp)
{
    size_t length = end - start;
    char *cstr = cx->pod_malloc<char>(length + 1);
    if (!cstr)
        return false;

    for (size_t i = 0; i < length; i++) {
        char c = char(start[i]);
        JS_ASSERT(('0' <= c && c <= '9') || ('a' <= c && c <= 'z') || ('A' <= c && c <= 'Z'));
        cstr[i] = c;
    }
    cstr[length] = 0;

    char *estr;
    int err = 0;
    *dp = js_strtod_harder(cx->runtime->dtoaState, cstr, &estr, &err);
    if (err == JS_DTOA_ENOMEM) {
        JS_ReportOutOfMemory(cx);
        js_free(cstr);
        return false;
    }
    if (err == JS_DTOA_ERANGE && *dp == HUGE_VAL)
        *dp = js_PositiveInfinity;
    js_free(cstr);
    return true;
}

class BinaryDigitReader
{
    const int base;      /* Base of number; must be a power of 2 */
    int digit;           /* Current digit value in radix given by base */
    int digitMask;       /* Mask to extract the next bit from digit */
    const jschar *start; /* Pointer to the remaining digits */
    const jschar *end;   /* Pointer to first non-digit */

  public:
    BinaryDigitReader(int base, const jschar *start, const jschar *end)
      : base(base), digit(0), digitMask(0), start(start), end(end)
    {
    }

    /* Return the next binary digit from the number, or -1 if done. */
    int nextDigit() {
        if (digitMask == 0) {
            if (start == end)
                return -1;

            int c = *start++;
            JS_ASSERT(('0' <= c && c <= '9') || ('a' <= c && c <= 'z') || ('A' <= c && c <= 'Z'));
            if ('0' <= c && c <= '9')
                digit = c - '0';
            else if ('a' <= c && c <= 'z')
                digit = c - 'a' + 10;
            else
                digit = c - 'A' + 10;
            digitMask = base >> 1;
        }

        int bit = (digit & digitMask) != 0;
        digitMask >>= 1;
        return bit;
    }
};

/*
 * The fast result might also have been inaccurate for power-of-two bases. This
 * happens if the addition in value * 2 + digit causes a round-down to an even
 * least significant mantissa bit when the first dropped bit is a one.  If any
 * of the following digits in the number (which haven't been added in yet) are
 * nonzero, then the correct action would have been to round up instead of
 * down.  An example occurs when reading the number 0x1000000000000081, which
 * rounds to 0x1000000000000000 instead of 0x1000000000000100.
 */
static double
ComputeAccurateBinaryBaseInteger(JSContext *cx, const jschar *start, const jschar *end, int base)
{
    BinaryDigitReader bdr(base, start, end);

    /* Skip leading zeroes. */
    int bit;
    do {
        bit = bdr.nextDigit();
    } while (bit == 0);

    JS_ASSERT(bit == 1); // guaranteed by GetPrefixInteger

    /* Gather the 53 significant bits (including the leading 1). */
    double value = 1.0;
    for (int j = 52; j > 0; j--) {
        bit = bdr.nextDigit();
        if (bit < 0)
            return value;
        value = value * 2 + bit;
    }

    /* bit2 is the 54th bit (the first dropped from the mantissa). */
    int bit2 = bdr.nextDigit();
    if (bit2 >= 0) {
        double factor = 2.0;
        int sticky = 0;  /* sticky is 1 if any bit beyond the 54th is 1 */
        int bit3;

        while ((bit3 = bdr.nextDigit()) >= 0) {
            sticky |= bit3;
            factor *= 2;
        }
        value += bit2 & (bit | sticky);
        value *= factor;
    }

    return value;
}

namespace js {

bool
GetPrefixInteger(JSContext *cx, const jschar *start, const jschar *end, int base,
                 const jschar **endp, double *dp)
{
    JS_ASSERT(start <= end);
    JS_ASSERT(2 <= base && base <= 36);

    const jschar *s = start;
    double d = 0.0;
    for (; s < end; s++) {
        int digit;
        jschar c = *s;
        if ('0' <= c && c <= '9')
            digit = c - '0';
        else if ('a' <= c && c <= 'z')
            digit = c - 'a' + 10;
        else if ('A' <= c && c <= 'Z')
            digit = c - 'A' + 10;
        else
            break;
        if (digit >= base)
            break;
        d = d * base + digit;
    }

    *endp = s;
    *dp = d;

    /* If we haven't reached the limit of integer precision, we're done. */
    if (d < DOUBLE_INTEGRAL_PRECISION_LIMIT)
        return true;

    /*
     * Otherwise compute the correct integer from the prefix of valid digits
     * if we're computing for base ten or a power of two.  Don't worry about
     * other bases; see 15.1.2.2 step 13.
     */
    if (base == 10)
        return ComputeAccurateDecimalInteger(cx, start, s, dp);
    if ((base & (base - 1)) == 0)
        *dp = ComputeAccurateBinaryBaseInteger(cx, start, s, base);

    return true;
}

} // namespace js

static JSBool
num_isNaN(JSContext *cx, unsigned argc, Value *vp)
{
    if (argc == 0) {
        vp->setBoolean(true);
        return JS_TRUE;
    }
    double x;
    if (!ToNumber(cx, vp[2], &x))
        return false;
    vp->setBoolean(MOZ_DOUBLE_IS_NaN(x));
    return JS_TRUE;
}

static JSBool
num_isFinite(JSContext *cx, unsigned argc, Value *vp)
{
    if (argc == 0) {
        vp->setBoolean(false);
        return JS_TRUE;
    }
    double x;
    if (!ToNumber(cx, vp[2], &x))
        return JS_FALSE;
    vp->setBoolean(MOZ_DOUBLE_IS_FINITE(x));
    return JS_TRUE;
}

static JSBool
num_parseFloat(JSContext *cx, unsigned argc, Value *vp)
{
    JSString *str;
    double d;
    const jschar *bp, *end, *ep;

    if (argc == 0) {
        vp->setDouble(js_NaN);
        return JS_TRUE;
    }
    str = ToString(cx, vp[2]);
    if (!str)
        return JS_FALSE;
    bp = str->getChars(cx);
    if (!bp)
        return JS_FALSE;
    end = bp + str->length();
    if (!js_strtod(cx, bp, end, &ep, &d))
        return JS_FALSE;
    if (ep == bp) {
        vp->setDouble(js_NaN);
        return JS_TRUE;
    }
    vp->setNumber(d);
    return JS_TRUE;
}

static bool
ParseIntStringHelper(JSContext *cx, const jschar *ws, const jschar *end, int maybeRadix,
                     bool stripPrefix, double *dp)
{
    JS_ASSERT(maybeRadix == 0 || (2 <= maybeRadix && maybeRadix <= 36));
    JS_ASSERT(ws <= end);

    const jschar *s = SkipSpace(ws, end);
    JS_ASSERT(ws <= s);
    JS_ASSERT(s <= end);

    /* 15.1.2.2 steps 3-4. */
    bool negative = (s != end && s[0] == '-');

    /* 15.1.2.2 step 5. */
    if (s != end && (s[0] == '-' || s[0] == '+'))
        s++;

    /* 15.1.2.2 step 9. */
    int radix = maybeRadix;
    if (radix == 0) {
        if (end - s >= 2 && s[0] == '0' && (s[1] != 'x' && s[1] != 'X')) {
            /*
             * Non-standard: ES5 requires that parseInt interpret leading-zero
             * strings not starting with "0x" or "0X" as decimal (absent an
             * explicitly specified non-zero radix), but we continue to
             * interpret such strings as octal, as per ES3 and web practice.
             */
            radix = 8;
        } else {
            radix = 10;
        }
    }

    /* 15.1.2.2 step 10. */
    if (stripPrefix) {
        if (end - s >= 2 && s[0] == '0' && (s[1] == 'x' || s[1] == 'X')) {
            s += 2;
            radix = 16;
        }
    }

    /* 15.1.2.2 steps 11-14. */
    const jschar *actualEnd;
    if (!GetPrefixInteger(cx, s, end, radix, &actualEnd, dp))
        return false;
    if (s == actualEnd)
        *dp = js_NaN;
    else if (negative)
        *dp = -*dp;
    return true;
}

/* See ECMA 15.1.2.2. */
JSBool
js::num_parseInt(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);

    /* Fast paths and exceptional cases. */
    if (args.length() == 0) {
        args.rval().setDouble(js_NaN);
        return true;
    }

    if (args.length() == 1 ||
        (args[1].isInt32() && (args[1].toInt32() == 0 || args[1].toInt32() == 10))) {
        if (args[0].isInt32()) {
            args.rval().set(args[0]);
            return true;
        }
        /*
         * Step 1 is |inputString = ToString(string)|. When string >=
         * 1e21, ToString(string) is in the form "NeM". 'e' marks the end of
         * the word, which would mean the result of parseInt(string) should be |N|.
         *
         * To preserve this behaviour, we can't use the fast-path when string >
         * 1e21, or else the result would be |NeM|.
         *
         * The same goes for values smaller than 1.0e-6, because the string would be in
         * the form of "Ne-M".
         */
        if (args[0].isDouble()) {
            double d = args[0].toDouble();
            if (1.0e-6 < d && d < 1.0e21) {
                args.rval().setNumber(floor(d));
                return true;
            }
            if (-1.0e21 < d && d < -1.0e-6) {
                args.rval().setNumber(-floor(-d));
                return true;
            }
            if (d == 0.0) {
                args.rval().setInt32(0);
                return true;
            }
        }
    }

    /* Step 1. */
    RootedString inputString(cx, ToString(cx, args[0]));
    if (!inputString)
        return false;
    args[0].setString(inputString);

    /* 15.1.2.2 steps 6-8. */
    bool stripPrefix = true;
    int32_t radix = 0;
    if (args.length() > 1) {
        if (!ToInt32(cx, args[1], &radix))
            return false;
        if (radix != 0) {
            if (radix < 2 || radix > 36) {
                args.rval().setDouble(js_NaN);
                return true;
            }
            if (radix != 16)
                stripPrefix = false;
        }
    }

    /* Steps 2-5, 9-14. */
    const jschar *ws = inputString->getChars(cx);
    if (!ws)
        return false;
    const jschar *end = ws + inputString->length();

    double number;
    if (!ParseIntStringHelper(cx, ws, end, radix, stripPrefix, &number))
        return false;

    /* Step 15. */
    args.rval().setNumber(number);
    return true;
}

static JSFunctionSpec number_functions[] = {
    JS_FN(js_isNaN_str,         num_isNaN,           1,0),
    JS_FN(js_isFinite_str,      num_isFinite,        1,0),
    JS_FN(js_parseFloat_str,    num_parseFloat,      1,0),
    JS_FN(js_parseInt_str,      num_parseInt,        2,0),
    JS_FS_END
};

Class js::NumberClass = {
    js_Number_str,
    JSCLASS_HAS_RESERVED_SLOTS(1) | JSCLASS_HAS_CACHED_PROTO(JSProto_Number),
    JS_PropertyStub,         /* addProperty */
    JS_PropertyStub,         /* delProperty */
    JS_PropertyStub,         /* getProperty */
    JS_StrictPropertyStub,   /* setProperty */
    JS_EnumerateStub,
    JS_ResolveStub,
    JS_ConvertStub
};

static JSBool
Number(JSContext *cx, unsigned argc, Value *vp)
{
    /* Sample JS_CALLEE before clobbering. */
    bool isConstructing = IsConstructing(vp);

    if (argc > 0) {
        if (!ToNumber(cx, &vp[2]))
            return false;
        vp[0] = vp[2];
    } else {
        vp[0].setInt32(0);
    }

    if (!isConstructing)
        return true;

    JSObject *obj = NumberObject::create(cx, vp[0].toNumber());
    if (!obj)
        return false;
    vp->setObject(*obj);
    return true;
}

JS_ALWAYS_INLINE bool
IsNumber(const Value &v)
{
    return v.isNumber() || (v.isObject() && v.toObject().hasClass(&NumberClass));
}

inline double
Extract(const Value &v)
{
    if (v.isNumber())
        return v.toNumber();
    return v.toObject().asNumber().unbox();
}

#if JS_HAS_TOSOURCE
JS_ALWAYS_INLINE bool
num_toSource_impl(JSContext *cx, CallArgs args)
{
    double d = Extract(args.thisv());

    StringBuffer sb(cx);
    if (!sb.append("(new Number(") ||
        !NumberValueToStringBuffer(cx, NumberValue(d), sb) ||
        !sb.append("))"))
    {
        return false;
    }

    JSString *str = sb.finishString();
    if (!str)
        return false;
    args.rval().setString(str);
    return true;
}

static JSBool
num_toSource(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toSource_impl>(cx, args);
}
#endif

ToCStringBuf::ToCStringBuf() :dbuf(NULL)
{
    JS_STATIC_ASSERT(sbufSize >= DTOSTR_STANDARD_BUFFER_SIZE);
}

ToCStringBuf::~ToCStringBuf()
{
    if (dbuf)
        js_free(dbuf);
}

JSFlatString *
js::Int32ToString(JSContext *cx, int32_t si)
{
    uint32_t ui;
    if (si >= 0) {
        if (StaticStrings::hasInt(si))
            return cx->runtime->staticStrings.getInt(si);
        ui = si;
    } else {
        ui = uint32_t(-si);
        JS_ASSERT_IF(si == INT32_MIN, ui == uint32_t(INT32_MAX) + 1);
    }

    JSCompartment *c = cx->compartment;
    if (JSFlatString *str = c->dtoaCache.lookup(10, si))
        return str;

    JSShortString *str = js_NewGCShortString(cx);
    if (!str)
        return NULL;

    jschar buffer[JSShortString::MAX_SHORT_LENGTH + 1];
    RangedPtr<jschar> end(buffer + JSShortString::MAX_SHORT_LENGTH,
                          buffer, JSShortString::MAX_SHORT_LENGTH + 1);
    *end = '\0';
    RangedPtr<jschar> start = BackfillIndexInCharBuffer(ui, end);
    if (si < 0)
        *--start = '-';

    jschar *dst = str->init(end - start);
    PodCopy(dst, start.get(), end - start + 1);

    c->dtoaCache.cache(10, si, str);
    return str;
}

/* Returns a non-NULL pointer to inside cbuf.  */
static char *
IntToCString(ToCStringBuf *cbuf, int i, int base = 10)
{
    unsigned u = (i < 0) ? -i : i;

    RangedPtr<char> cp(cbuf->sbuf + cbuf->sbufSize - 1, cbuf->sbuf, cbuf->sbufSize);
    *cp = '\0';

    /* Build the string from behind. */
    switch (base) {
    case 10:
      cp = BackfillIndexInCharBuffer(u, cp);
      break;
    case 16:
      do {
          unsigned newu = u / 16;
          *--cp = "0123456789abcdef"[u - newu * 16];
          u = newu;
      } while (u != 0);
      break;
    default:
      JS_ASSERT(base >= 2 && base <= 36);
      do {
          unsigned newu = u / base;
          *--cp = "0123456789abcdefghijklmnopqrstuvwxyz"[u - newu * base];
          u = newu;
      } while (u != 0);
      break;
    }
    if (i < 0)
        *--cp = '-';

    return cp.get();
}

static JSString * JS_FASTCALL
js_NumberToStringWithBase(JSContext *cx, double d, int base);

JS_ALWAYS_INLINE bool
num_toString_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));

    double d = Extract(args.thisv());

    int32_t base = 10;
    if (args.hasDefined(0)) {
        double d2;
        if (!ToInteger(cx, args[0], &d2))
            return false;

        if (d2 < 2 || d2 > 36) {
            JS_ReportErrorNumber(cx, js_GetErrorMessage, NULL, JSMSG_BAD_RADIX);
            return false;
        }

        base = int32_t(d2);
    }
    JSString *str = js_NumberToStringWithBase(cx, d, base);
    if (!str) {
        JS_ReportOutOfMemory(cx);
        return false;
    }
    args.rval().setString(str);
    return true;
}

static JSBool
num_toString(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toString_impl>(cx, args);
}

JS_ALWAYS_INLINE bool
num_toLocaleString_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));

    double d = Extract(args.thisv());

    Rooted<JSString*> str(cx, js_NumberToStringWithBase(cx, d, 10));
    if (!str) {
        JS_ReportOutOfMemory(cx);
        return false;
    }

    /*
     * Create the string, move back to bytes to make string twiddling
     * a bit easier and so we can insert platform charset seperators.
     */
    JSAutoByteString numBytes(cx, str);
    if (!numBytes)
        return false;
    const char *num = numBytes.ptr();
    if (!num)
        return false;

    /*
     * Find the first non-integer value, whether it be a letter as in
     * 'Infinity', a decimal point, or an 'e' from exponential notation.
     */
    const char *nint = num;
    if (*nint == '-')
        nint++;
    while (*nint >= '0' && *nint <= '9')
        nint++;
    int digits = nint - num;
    const char *end = num + digits;
    if (!digits) {
        args.rval().setString(str);
        return true;
    }

    JSRuntime *rt = cx->runtime;
    size_t thousandsLength = strlen(rt->thousandsSeparator);
    size_t decimalLength = strlen(rt->decimalSeparator);

    /* Figure out how long resulting string will be. */
    int buflen = strlen(num);
    if (*nint == '.')
        buflen += decimalLength - 1; /* -1 to account for existing '.' */

    const char *numGrouping;
    const char *tmpGroup;
    numGrouping = tmpGroup = rt->numGrouping;
    int remainder = digits;
    if (*num == '-')
        remainder--;

    while (*tmpGroup != CHAR_MAX && *tmpGroup != '\0') {
        if (*tmpGroup >= remainder)
            break;
        buflen += thousandsLength;
        remainder -= *tmpGroup;
        tmpGroup++;
    }

    int nrepeat;
    if (*tmpGroup == '\0' && *numGrouping != '\0') {
        nrepeat = (remainder - 1) / tmpGroup[-1];
        buflen += thousandsLength * nrepeat;
        remainder -= nrepeat * tmpGroup[-1];
    } else {
        nrepeat = 0;
    }
    tmpGroup--;

    char *buf = cx->pod_malloc<char>(buflen + 1);
    if (!buf)
        return false;

    char *tmpDest = buf;
    const char *tmpSrc = num;

    while (*tmpSrc == '-' || remainder--) {
        JS_ASSERT(tmpDest - buf < buflen);
        *tmpDest++ = *tmpSrc++;
    }
    while (tmpSrc < end) {
        JS_ASSERT(tmpDest - buf + ptrdiff_t(thousandsLength) <= buflen);
        strcpy(tmpDest, rt->thousandsSeparator);
        tmpDest += thousandsLength;
        JS_ASSERT(tmpDest - buf + *tmpGroup <= buflen);
        js_memcpy(tmpDest, tmpSrc, *tmpGroup);
        tmpDest += *tmpGroup;
        tmpSrc += *tmpGroup;
        if (--nrepeat < 0)
            tmpGroup--;
    }

    if (*nint == '.') {
        JS_ASSERT(tmpDest - buf + ptrdiff_t(decimalLength) <= buflen);
        strcpy(tmpDest, rt->decimalSeparator);
        tmpDest += decimalLength;
        JS_ASSERT(tmpDest - buf + ptrdiff_t(strlen(nint + 1)) <= buflen);
        strcpy(tmpDest, nint + 1);
    } else {
        JS_ASSERT(tmpDest - buf + ptrdiff_t(strlen(nint)) <= buflen);
        strcpy(tmpDest, nint);
    }

    if (cx->localeCallbacks && cx->localeCallbacks->localeToUnicode) {
        Rooted<Value> v(cx, StringValue(str));
        bool ok = !!cx->localeCallbacks->localeToUnicode(cx, buf, v.address());
        if (ok)
            args.rval().set(v);
        js_free(buf);
        return ok;
    }

    str = js_NewStringCopyN(cx, buf, buflen);
    js_free(buf);
    if (!str)
        return false;

    args.rval().setString(str);
    return true;
}

JSBool
num_toLocaleString(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toLocaleString_impl>(cx, args);
}

JS_ALWAYS_INLINE bool
num_valueOf_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));
    args.rval().setNumber(Extract(args.thisv()));
    return true;
}

JSBool
js_num_valueOf(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_valueOf_impl>(cx, args);
}

const unsigned MAX_PRECISION = 100;

static bool
ComputePrecisionInRange(JSContext *cx, int minPrecision, int maxPrecision, const Value &v,
                        int *precision)
{
    double prec;
    if (!ToInteger(cx, v, &prec))
        return false;
    if (minPrecision <= prec && prec <= maxPrecision) {
        *precision = int(prec);
        return true;
    }
    ToCStringBuf cbuf;
    char *numStr = IntToCString(&cbuf, *precision);
    JS_ASSERT(numStr);
    JS_ReportErrorNumber(cx, js_GetErrorMessage, NULL, JSMSG_PRECISION_RANGE, numStr);
    return false;
}

static bool
DToStrResult(JSContext *cx, double d, JSDToStrMode mode, int precision, CallArgs args)
{
    char buf[DTOSTR_VARIABLE_BUFFER_SIZE(MAX_PRECISION + 1)];
    char *numStr = js_dtostr(cx->runtime->dtoaState, buf, sizeof buf, mode, precision, d);
    if (!numStr) {
        JS_ReportOutOfMemory(cx);
        return false;
    }
    JSString *str = js_NewStringCopyZ(cx, numStr);
    if (!str)
        return false;
    args.rval().setString(str);
    return true;
}

/*
 * In the following three implementations, we allow a larger range of precision
 * than ECMA requires; this is permitted by ECMA-262.
 */
JS_ALWAYS_INLINE bool
num_toFixed_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));

    int precision;
    if (args.length() == 0) {
        precision = 0;
    } else {
        if (!ComputePrecisionInRange(cx, -20, MAX_PRECISION, args[0], &precision))
            return false;
    }

    return DToStrResult(cx, Extract(args.thisv()), DTOSTR_FIXED, precision, args);
}

JSBool
num_toFixed(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toFixed_impl>(cx, args);
}

JS_ALWAYS_INLINE bool
num_toExponential_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));

    JSDToStrMode mode;
    int precision;
    if (args.length() == 0) {
        mode = DTOSTR_STANDARD_EXPONENTIAL;
        precision = 0;
    } else {
        mode = DTOSTR_EXPONENTIAL;
        if (!ComputePrecisionInRange(cx, 0, MAX_PRECISION, args[0], &precision))
            return false;
    }

    return DToStrResult(cx, Extract(args.thisv()), mode, precision + 1, args);
}

JSBool
num_toExponential(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toExponential_impl>(cx, args);
}

JS_ALWAYS_INLINE bool
num_toPrecision_impl(JSContext *cx, CallArgs args)
{
    JS_ASSERT(IsNumber(args.thisv()));

    double d = Extract(args.thisv());

    if (!args.hasDefined(0)) {
        JSString *str = js_NumberToStringWithBase(cx, d, 10);
        if (!str) {
            JS_ReportOutOfMemory(cx);
            return false;
        }
        args.rval().setString(str);
        return true;
    }

    JSDToStrMode mode;
    int precision;
    if (args.length() == 0) {
        mode = DTOSTR_STANDARD;
        precision = 0;
    } else {
        mode = DTOSTR_PRECISION;
        if (!ComputePrecisionInRange(cx, 1, MAX_PRECISION, args[0], &precision))
            return false;
    }

    return DToStrResult(cx, d, mode, precision, args);
}

JSBool
num_toPrecision(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    return CallNonGenericMethod<IsNumber, num_toPrecision_impl>(cx, args);
}

static JSFunctionSpec number_methods[] = {
#if JS_HAS_TOSOURCE
    JS_FN(js_toSource_str,       num_toSource,          0, 0),
#endif
    JS_FN(js_toString_str,       num_toString,          1, 0),
    JS_FN(js_toLocaleString_str, num_toLocaleString,    0, 0),
    JS_FN(js_valueOf_str,        js_num_valueOf,        0, 0),
    JS_FN("toFixed",             num_toFixed,           1, 0),
    JS_FN("toExponential",       num_toExponential,     1, 0),
    JS_FN("toPrecision",         num_toPrecision,       1, 0),
    JS_FS_END
};


// ES6 draft ES6 15.7.3.10
static JSBool
Number_isNaN(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    if (args.length() < 1 || !args[0].isDouble()) {
        args.rval().setBoolean(false);
        return true;
    }
    args.rval().setBoolean(MOZ_DOUBLE_IS_NaN(args[0].toDouble()));
    return true;
}

// ES6 draft ES6 15.7.3.11
static JSBool
Number_isFinite(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    if (args.length() < 1 || !args[0].isNumber()) {
        args.rval().setBoolean(false);
        return true;
    }
    args.rval().setBoolean(args[0].isInt32() ||
                           MOZ_DOUBLE_IS_FINITE(args[0].toDouble()));
    return true;
}

// ES6 draft ES6 15.7.3.12
static JSBool
Number_isInteger(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    if (args.length() < 1 || !args[0].isNumber()) {
        args.rval().setBoolean(false);
        return true;
    }
    Value val = args[0];
    args.rval().setBoolean(val.isInt32() ||
                           (MOZ_DOUBLE_IS_FINITE(val.toDouble()) &&
                            ToInteger(val.toDouble()) == val.toDouble()));
    return true;
}

// ES6 drafult ES6 15.7.3.13
static JSBool
Number_toInteger(JSContext *cx, unsigned argc, Value *vp)
{
    CallArgs args = CallArgsFromVp(argc, vp);
    if (args.length() < 1) {
        args.rval().setInt32(0);
        return true;
    }
    double asint;
    if (!ToInteger(cx, args[0], &asint))
        return false;
    args.rval().setNumber(asint);
    return true;
}


static JSFunctionSpec number_static_methods[] = {
    JS_FN("isFinite", Number_isFinite, 1, 0),
    JS_FN("isInteger", Number_isInteger, 1, 0),
    JS_FN("isNaN", Number_isNaN, 1, 0),
    JS_FN("toInteger", Number_toInteger, 1, 0),
    JS_FS_END
};


/* NB: Keep this in synch with number_constants[]. */
enum nc_slot {
    NC_NaN,
    NC_POSITIVE_INFINITY,
    NC_NEGATIVE_INFINITY,
    NC_MAX_VALUE,
    NC_MIN_VALUE,
    NC_LIMIT
};

/*
 * Some to most C compilers forbid spelling these at compile time, or barf
 * if you try, so all but MAX_VALUE are set up by InitRuntimeNumberState
 * using union jsdpun.
 */
static JSConstDoubleSpec number_constants[] = {
    {0,                         "NaN",               0,{0,0,0}},
    {0,                         "POSITIVE_INFINITY", 0,{0,0,0}},
    {0,                         "NEGATIVE_INFINITY", 0,{0,0,0}},
    {1.7976931348623157E+308,   "MAX_VALUE",         0,{0,0,0}},
    {0,                         "MIN_VALUE",         0,{0,0,0}},
    {0,0,0,{0,0,0}}
};

double js_NaN;
double js_PositiveInfinity;
double js_NegativeInfinity;

#if (defined __GNUC__ && defined __i386__) || \
    (defined __SUNPRO_CC && defined __i386)

/*
 * Set the exception mask to mask all exceptions and set the FPU precision
 * to 53 bit mantissa (64 bit doubles).
 */
inline void FIX_FPU() {
    short control;
    asm("fstcw %0" : "=m" (control) : );
    control &= ~0x300; // Lower bits 8 and 9 (precision control).
    control |= 0x2f3;  // Raise bits 0-5 (exception masks) and 9 (64-bit precision).
    asm("fldcw %0" : : "m" (control) );
}

#else

#define FIX_FPU() ((void)0)

#endif

namespace js {

bool
InitRuntimeNumberState(JSRuntime *rt)
{
    FIX_FPU();

    double d;

    /*
     * Our NaN must be one particular canonical value, because we rely on NaN
     * encoding for our value representation.  See jsval.h.
     */
    d = MOZ_DOUBLE_SPECIFIC_NaN(0, 0x8000000000000ULL);
    number_constants[NC_NaN].dval = js_NaN = d;
    rt->NaNValue.setDouble(d);

    d = MOZ_DOUBLE_POSITIVE_INFINITY();
    number_constants[NC_POSITIVE_INFINITY].dval = js_PositiveInfinity = d;
    rt->positiveInfinityValue.setDouble(d);

    d = MOZ_DOUBLE_NEGATIVE_INFINITY();
    number_constants[NC_NEGATIVE_INFINITY].dval = js_NegativeInfinity = d;
    rt->negativeInfinityValue.setDouble(d);

    number_constants[NC_MIN_VALUE].dval = MOZ_DOUBLE_MIN_VALUE();

    /* Copy locale-specific separators into the runtime strings. */
    const char *thousandsSeparator, *decimalPoint, *grouping;
#ifdef HAVE_LOCALECONV
    struct lconv *locale = localeconv();
    thousandsSeparator = locale->thousands_sep;
    decimalPoint = locale->decimal_point;
    grouping = locale->grouping;
#else
    thousandsSeparator = getenv("LOCALE_THOUSANDS_SEP");
    decimalPoint = getenv("LOCALE_DECIMAL_POINT");
    grouping = getenv("LOCALE_GROUPING");
#endif
    if (!thousandsSeparator)
        thousandsSeparator = "'";
    if (!decimalPoint)
        decimalPoint = ".";
    if (!grouping)
        grouping = "\3\0";

    /*
     * We use single malloc to get the memory for all separator and grouping
     * strings.
     */
    size_t thousandsSeparatorSize = strlen(thousandsSeparator) + 1;
    size_t decimalPointSize = strlen(decimalPoint) + 1;
    size_t groupingSize = strlen(grouping) + 1;

    char *storage = js_pod_malloc<char>(thousandsSeparatorSize +
                                        decimalPointSize +
                                        groupingSize);
    if (!storage)
        return false;

    js_memcpy(storage, thousandsSeparator, thousandsSeparatorSize);
    rt->thousandsSeparator = storage;
    storage += thousandsSeparatorSize;

    js_memcpy(storage, decimalPoint, decimalPointSize);
    rt->decimalSeparator = storage;
    storage += decimalPointSize;

    js_memcpy(storage, grouping, groupingSize);
    rt->numGrouping = grouping;
    return true;
}

void
FinishRuntimeNumberState(JSRuntime *rt)
{
    /*
     * The free also releases the memory for decimalSeparator and numGrouping
     * strings.
     */
    char *storage = const_cast<char *>(rt->thousandsSeparator);
    js_free(storage);
}

} /* namespace js */

JSObject *
js_InitNumberClass(JSContext *cx, JSObject *obj)
{
    JS_ASSERT(obj->isNative());

    /* XXX must do at least once per new thread, so do it per JSContext... */
    FIX_FPU();

    Rooted<GlobalObject*> global(cx, &obj->asGlobal());

    RootedObject numberProto(cx, global->createBlankPrototype(cx, &NumberClass));
    if (!numberProto)
        return NULL;
    numberProto->asNumber().setPrimitiveValue(0);

    RootedFunction ctor(cx);
    ctor = global->createConstructor(cx, Number, cx->names().Number, 1);
    if (!ctor)
        return NULL;

    if (!LinkConstructorAndPrototype(cx, ctor, numberProto))
        return NULL;

    /* Add numeric constants (MAX_VALUE, NaN, &c.) to the Number constructor. */
    if (!JS_DefineConstDoubles(cx, ctor, number_constants))
        return NULL;

    if (!DefinePropertiesAndBrand(cx, ctor, NULL, number_static_methods))
        return NULL;

    if (!DefinePropertiesAndBrand(cx, numberProto, NULL, number_methods))
        return NULL;

    if (!JS_DefineFunctions(cx, global, number_functions))
        return NULL;

    RootedValue valueNaN(cx, cx->runtime->NaNValue);
    RootedValue valueInfinity(cx, cx->runtime->positiveInfinityValue);

    /* ES5 15.1.1.1, 15.1.1.2 */
    if (!DefineNativeProperty(cx, global, cx->names().NaN, valueNaN,
                              JS_PropertyStub, JS_StrictPropertyStub,
                              JSPROP_PERMANENT | JSPROP_READONLY, 0, 0) ||
        !DefineNativeProperty(cx, global, cx->names().Infinity, valueInfinity,
                              JS_PropertyStub, JS_StrictPropertyStub,
                              JSPROP_PERMANENT | JSPROP_READONLY, 0, 0))
    {
        return NULL;
    }

    if (!DefineConstructorAndPrototype(cx, global, JSProto_Number, ctor, numberProto))
        return NULL;

    return numberProto;
}

namespace js {

static char *
FracNumberToCString(JSContext *cx, ToCStringBuf *cbuf, double d, int base = 10)
{
#ifdef DEBUG
    {
        int32_t _;
        JS_ASSERT(!MOZ_DOUBLE_IS_INT32(d, &_));
    }
#endif

    char* numStr;
    if (base == 10) {
        /*
         * This is V8's implementation of the algorithm described in the
         * following paper:
         *
         *   Printing floating-point numbers quickly and accurately with integers.
         *   Florian Loitsch, PLDI 2010.
         */
        const double_conversion::DoubleToStringConverter &converter
            = double_conversion::DoubleToStringConverter::EcmaScriptConverter();
        double_conversion::StringBuilder builder(cbuf->sbuf, cbuf->sbufSize);
        converter.ToShortest(d, &builder);
        numStr = builder.Finalize();
    } else {
        numStr = cbuf->dbuf = js_dtobasestr(cx->runtime->dtoaState, base, d);
    }
    return numStr;
}

char *
NumberToCString(JSContext *cx, ToCStringBuf *cbuf, double d, int base/* = 10*/)
{
    int32_t i;
    return MOZ_DOUBLE_IS_INT32(d, &i)
           ? IntToCString(cbuf, i, base)
           : FracNumberToCString(cx, cbuf, d, base);
}

}

static JSString * JS_FASTCALL
js_NumberToStringWithBase(JSContext *cx, double d, int base)
{
    ToCStringBuf cbuf;
    char *numStr;

    /*
     * Caller is responsible for error reporting. When called from trace,
     * returning NULL here will cause us to fall of trace and then retry
     * from the interpreter (which will report the error).
     */
    if (base < 2 || base > 36)
        return NULL;

    JSCompartment *c = cx->compartment;

    int32_t i;
    if (MOZ_DOUBLE_IS_INT32(d, &i)) {
        if (base == 10 && StaticStrings::hasInt(i))
            return cx->runtime->staticStrings.getInt(i);
        if (unsigned(i) < unsigned(base)) {
            if (i < 10)
                return cx->runtime->staticStrings.getInt(i);
            jschar c = 'a' + i - 10;
            JS_ASSERT(StaticStrings::hasUnit(c));
            return cx->runtime->staticStrings.getUnit(c);
        }

        if (JSFlatString *str = c->dtoaCache.lookup(base, d))
            return str;

        numStr = IntToCString(&cbuf, i, base);
        JS_ASSERT(!cbuf.dbuf && numStr >= cbuf.sbuf && numStr < cbuf.sbuf + cbuf.sbufSize);
    } else {
        if (JSFlatString *str = c->dtoaCache.lookup(base, d))
            return str;

        numStr = FracNumberToCString(cx, &cbuf, d, base);
        if (!numStr) {
            JS_ReportOutOfMemory(cx);
            return NULL;
        }
        JS_ASSERT_IF(base == 10,
                     !cbuf.dbuf && numStr >= cbuf.sbuf && numStr < cbuf.sbuf + cbuf.sbufSize);
        JS_ASSERT_IF(base != 10,
                     cbuf.dbuf && cbuf.dbuf == numStr);
    }

    JSFlatString *s = js_NewStringCopyZ(cx, numStr);
    c->dtoaCache.cache(base, d, s);
    return s;
}

JSString *
js_NumberToString(JSContext *cx, double d)
{
    return js_NumberToStringWithBase(cx, d, 10);
}

namespace js {

JSFlatString *
NumberToString(JSContext *cx, double d)
{
    if (JSString *str = js_NumberToStringWithBase(cx, d, 10))
        return &str->asFlat();
    return NULL;
}

JSFlatString *
IndexToString(JSContext *cx, uint32_t index)
{
    if (StaticStrings::hasUint(index))
        return cx->runtime->staticStrings.getUint(index);

    JSCompartment *c = cx->compartment;
    if (JSFlatString *str = c->dtoaCache.lookup(10, index))
        return str;

    JSShortString *str = js_NewGCShortString(cx);
    if (!str)
        return NULL;

    jschar buffer[JSShortString::MAX_SHORT_LENGTH + 1];
    RangedPtr<jschar> end(buffer + JSShortString::MAX_SHORT_LENGTH,
                          buffer, JSShortString::MAX_SHORT_LENGTH + 1);
    *end = '\0';
    RangedPtr<jschar> start = BackfillIndexInCharBuffer(index, end);

    jschar *dst = str->init(end - start);
    PodCopy(dst, start.get(), end - start + 1);

    c->dtoaCache.cache(10, index, str);
    return str;
}

bool JS_FASTCALL
NumberValueToStringBuffer(JSContext *cx, const Value &v, StringBuffer &sb)
{
    /* Convert to C-string. */
    ToCStringBuf cbuf;
    const char *cstr;
    if (v.isInt32()) {
        cstr = IntToCString(&cbuf, v.toInt32());
    } else {
        cstr = NumberToCString(cx, &cbuf, v.toDouble());
        if (!cstr) {
            JS_ReportOutOfMemory(cx);
            return JS_FALSE;
        }
    }

    /*
     * Inflate to jschar string.  The input C-string characters are < 127, so
     * even if jschars are UTF-8, all chars should map to one jschar.
     */
    size_t cstrlen = strlen(cstr);
    JS_ASSERT(!cbuf.dbuf && cstrlen < cbuf.sbufSize);
    return sb.appendInflated(cstr, cstrlen);
}

JS_PUBLIC_API(bool)
ToNumberSlow(JSContext *cx, Value v, double *out)
{
#ifdef DEBUG
    /*
     * MSVC bizarrely miscompiles this, complaining about the first brace below
     * being unmatched (!).  The error message points at both this opening brace
     * and at the corresponding SkipRoot constructor.  The error seems to derive
     * from the presence guard-object macros on the SkipRoot class/constructor,
     * which seems well in the weeds for an unmatched-brace syntax error.
     * Otherwise the problem is inscrutable, and I haven't found a workaround.
     * So for now just disable it when compiling with MSVC -- not ideal, but at
     * least Windows debug shell builds complete again.
     */
#ifndef _MSC_VER
    {
        SkipRoot skip(cx, &v);
        MaybeCheckStackRoots(cx);
    }
#endif
#endif

    JS_ASSERT(!v.isNumber());
    goto skip_int_double;
    for (;;) {
        if (v.isNumber()) {
            *out = v.toNumber();
            return true;
        }
      skip_int_double:
        if (v.isString())
            return StringToNumberType<double>(cx, v.toString(), out);
        if (v.isBoolean()) {
            if (v.toBoolean()) {
                *out = 1.0;
                return true;
            }
            *out = 0.0;
            return true;
        }
        if (v.isNull()) {
            *out = 0.0;
            return true;
        }
        if (v.isUndefined())
            break;

        JS_ASSERT(v.isObject());
        if (!ToPrimitive(cx, JSTYPE_NUMBER, &v))
            return false;
        if (v.isObject())
            break;
    }

    *out = js_NaN;
    return true;
}

/*
 * Convert a value to an int64_t, according to the WebIDL rules for long long
 * conversion. Return converted value in *out on success, false on failure.
 */
JS_PUBLIC_API(bool)
ToInt64Slow(JSContext *cx, const Value &v, int64_t *out)
{
    JS_ASSERT(!v.isInt32());
    double d;
    if (v.isDouble()) {
        d = v.toDouble();
    } else {
        if (!ToNumberSlow(cx, v, &d))
            return false;
    }
    *out = ToInt64(d);
    return true;
}

/*
 * Convert a value to an uint64_t, according to the WebIDL rules for unsigned long long
 * conversion. Return converted value in *out on success, false on failure.
 */
JS_PUBLIC_API(bool)
ToUint64Slow(JSContext *cx, const Value &v, uint64_t *out)
{
    JS_ASSERT(!v.isInt32());
    double d;
    if (v.isDouble()) {
        d = v.toDouble();
    } else {
        if (!ToNumberSlow(cx, v, &d))
            return false;
    }
    *out = ToUint64(d);
    return true;
}

JS_PUBLIC_API(bool)
ToInt32Slow(JSContext *cx, const Value &v, int32_t *out)
{
    JS_ASSERT(!v.isInt32());
    double d;
    if (v.isDouble()) {
        d = v.toDouble();
    } else {
        if (!ToNumberSlow(cx, v, &d))
            return false;
    }
    *out = ToInt32(d);
    return true;
}

JS_PUBLIC_API(bool)
ToUint32Slow(JSContext *cx, const Value &v, uint32_t *out)
{
    JS_ASSERT(!v.isInt32());
    double d;
    if (v.isDouble()) {
        d = v.toDouble();
    } else {
        if (!ToNumberSlow(cx, v, &d))
            return false;
    }
    *out = ToUint32(d);
    return true;
}

JS_PUBLIC_API(bool)
ToUint16Slow(JSContext *cx, const Value &v, uint16_t *out)
{
    JS_ASSERT(!v.isInt32());
    double d;
    if (v.isDouble()) {
        d = v.toDouble();
    } else if (!ToNumberSlow(cx, v, &d)) {
        return false;
    }

    if (d == 0 || !MOZ_DOUBLE_IS_FINITE(d)) {
        *out = 0;
        return true;
    }

    uint16_t u = (uint16_t) d;
    if ((double)u == d) {
        *out = u;
        return true;
    }

    bool neg = (d < 0);
    d = floor(neg ? -d : d);
    d = neg ? -d : d;
    unsigned m = JS_BIT(16);
    d = fmod(d, (double) m);
    if (d < 0)
        d += m;
    *out = (uint16_t) d;
    return true;
}

}  /* namespace js */

JSBool
js_strtod(JSContext *cx, const jschar *s, const jschar *send,
          const jschar **ep, double *dp)
{
    size_t i;
    char cbuf[32];
    char *cstr, *istr, *estr;
    JSBool negative;
    double d;

    const jschar *s1 = SkipSpace(s, send);
    size_t length = send - s1;

    /* Use cbuf to avoid malloc */
    if (length >= sizeof cbuf) {
        cstr = (char *) cx->malloc_(length + 1);
        if (!cstr)
           return JS_FALSE;
    } else {
        cstr = cbuf;
    }

    for (i = 0; i != length; i++) {
        if (s1[i] >> 8)
            break;
        cstr[i] = (char)s1[i];
    }
    cstr[i] = 0;

    istr = cstr;
    if ((negative = (*istr == '-')) != 0 || *istr == '+')
        istr++;
    if (*istr == 'I' && !strncmp(istr, "Infinity", 8)) {
        d = negative ? js_NegativeInfinity : js_PositiveInfinity;
        estr = istr + 8;
    } else {
        int err;
        d = js_strtod_harder(cx->runtime->dtoaState, cstr, &estr, &err);
        if (d == HUGE_VAL)
            d = js_PositiveInfinity;
        else if (d == -HUGE_VAL)
            d = js_NegativeInfinity;
    }

    i = estr - cstr;
    if (cstr != cbuf)
        js_free(cstr);
    *ep = i ? s1 + i : s;
    *dp = d;
    return JS_TRUE;
}