/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- * * ***** BEGIN LICENSE BLOCK ***** * Version: MPL 1.1/GPL 2.0/LGPL 2.1 * * The contents of this file are subject to the Mozilla Public License Version * 1.1 (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * Software distributed under the License is distributed on an "AS IS" basis, * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License * for the specific language governing rights and limitations under the * License. * * The Original Code is the JavaScript 2 Prototype. * * The Initial Developer of the Original Code is * Netscape Communications Corporation. * Portions created by the Initial Developer are Copyright (C) 1998 * the Initial Developer. All Rights Reserved. * * Contributor(s): * * Alternatively, the contents of this file may be used under the terms of * either the GNU General Public License Version 2 or later (the "GPL"), or * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), * in which case the provisions of the GPL or the LGPL are applicable instead * of those above. If you wish to allow use of your version of this file only * under the terms of either the GPL or the LGPL, and not to allow others to * use your version of this file under the terms of the MPL, indicate your * decision by deleting the provisions above and replace them with the notice * and other provisions required by the GPL or the LGPL. If you do not delete * the provisions above, a recipient may use your version of this file under * the terms of any one of the MPL, the GPL or the LGPL. * * ***** END LICENSE BLOCK ***** */ #ifndef numerics_h #define numerics_h #include "systemtypes.h" #include "utilities.h" #include "strings.h" #include "formatter.h" // Use platform-defined floating-point routines. On platforms with faulty // floating-point code ifdef these out and replace by custom implementations. #ifndef _WIN32 // Microsoft VC6 bug: standard identifiers should be in std namespace using std::abs; using std::floor; using std::ceil; using std::fmod; using std::sqrt; using std::sin; using std::cos; using std::tan; using std::asin; using std::acos; using std::atan; #endif namespace JavaScript { // // Double-precision constants // extern double positiveInfinity; extern double negativeInfinity; extern double nan; extern double minDouble; extern double maxDouble; static const double two32minus1 = 4294967295.0; static const double two32 = 4294967296.0; static const double two16 = 65536.0; static const double two31 = 2147483648.0; // // Portable double-precision floating point to string and back conversions // double ulp(double x); int hi0bits(uint32 x); class BigInt { enum {maxLgGrossSize = 15}; // Maximum value of lg2(grossSize) static uint32 *freeLists[maxLgGrossSize+1]; uint lgGrossSize; // lg2(grossSize) public: bool negative; // True if negative. Ignored by most BigInt routines! private: uint32 grossSize; // Number of words allocated for uint32 size; // Actual number of words. If the number is nonzero, the most significant word must be nonzero. // If the number is zero, then size is also 0. uint32 *words; // words of the number, in little endian order void allocate(uint lgGrossSize); void recycle(); void initCopy(const BigInt &b); void move(BigInt &b); public: BigInt(): words(0) {} explicit BigInt(uint lgGrossSize) {allocate(lgGrossSize);} BigInt(const BigInt &b) {initCopy(b);} void operator=(const BigInt &b) {ASSERT(!words); initCopy(b);} ~BigInt() {if (words) recycle();} void setLgGrossSize(uint lgGrossSize); void init(uint32 i); void init(double d, int32 &e, int32 &bits); void mulAdd(uint m, uint a); void operator*=(const BigInt &m); void pow2Mul(int32 k); void pow5Mul(int32 k); bool isZero() const {ASSERT(words); return !size;} int cmp(const BigInt &b) const; void initDiff(const BigInt &m, const BigInt &n); uint32 quoRem2(int32 k); int32 quoRem(const BigInt &S); uint32 divRem(uint32 divisor); double b2d(int32 &e) const; double ratio(const BigInt &denominator) const; void s2b(const char *s, int32 nd0, int32 nd, uint32 y9); uint32 nWords() const {return size;} uint32 word(uint32 i) const {ASSERT(i < size); return words[i];} }; // Modes for converting floating-point numbers to strings. // // Some of the modes can round-trip; this means that if the number is // converted to a string using one of these mode and then converted back // to a number, the result will be identical to the original number (except // that, due to ECMA, -0 will get converted to +0). These round-trip modes // return the minimum number of significand digits that permit the round // trip. // // Some of the modes take an integer parameter . // // Keep this in sync with doubleToAsciiModes[]. enum DToStrMode { dtosStandard, // Either fixed or exponential format; round-trip dtosStandardExponential, // Always exponential format; round-trip dtosFixed, // Round to digits after the decimal point; exponential if number is large dtosExponential, // Always exponential format; significant digits dtosPrecision // Either fixed or exponential format; significant digits }; // Maximum number of characters (including trailing null) that a // dtosStandard or dtosStandardExponential conversion can produce. This // maximum is reached for a number like -1.2345678901234567e+123. const int dtosStandardBufferSize = 25; // Maximum number of characters (including trailing null) that one of the // other conversions can produce. This maximum is reached for TO_FIXED, // which can generate up to 21 digits before the decimal point. #define dtosVariableBufferSize(precision) \ ((precision)+24 > dtosStandardBufferSize ? \ (precision)+24 : dtosStandardBufferSize) \ // "-0.0000...(1073 zeros after decimal point)...0001\0" is the longest // string that we could produce, which occurs when printing -5e-324 in // binary. We could compute a better estimate of the size of the output // string and malloc fewer bytes depending on d and base, but why bother? const int dtobasesBufferSize = 1078; double strToDouble(const char *str, const char *&numEnd); double stringToDouble(const char16 *str, const char16 *strEnd, const char16 *&numEnd); double stringToInteger(const char16 *str, const char16 *strEnd, const char16 *&numEnd, uint base); char *doubleToStr(char *buffer, size_t bufferSize, double value, DToStrMode mode, int precision); size_t doubleToBaseStr(char *buffer, double value, uint base); void appendDouble(String &dst, double value, DToStrMode mode = dtosStandard, int precision = 0); inline String &operator+=(String &s, double value) {appendDouble(s, value); return s;} void printDouble(Formatter &f, double value, DToStrMode mode = dtosStandard, int precision = 0); inline Formatter &operator<<(Formatter &f, double value) {printDouble(f, value); return f;} } #endif