xpcom/ds/nsMathUtils.h

Wed, 31 Dec 2014 06:09:35 +0100

author
Michael Schloh von Bennewitz <michael@schloh.com>
date
Wed, 31 Dec 2014 06:09:35 +0100
changeset 0
6474c204b198
permissions
-rw-r--r--

Cloned upstream origin tor-browser at tor-browser-31.3.0esr-4.5-1-build1
revision ID fc1c9ff7c1b2defdbc039f12214767608f46423f for hacking purpose.

     1 /* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 4 -*-
     2  * This Source Code Form is subject to the terms of the Mozilla Public
     3  * License, v. 2.0. If a copy of the MPL was not distributed with this
     4  * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
     6 #ifndef nsMathUtils_h__
     7 #define nsMathUtils_h__
     9 #define _USE_MATH_DEFINES /* needed for M_ constants on Win32 */
    11 #include "nscore.h"
    12 #include <cmath>
    13 #include <float.h>
    15 #ifdef SOLARIS
    16 #include <ieeefp.h>
    17 #endif
    19 /*
    20  * round
    21  */
    22 inline NS_HIDDEN_(double) NS_round(double x)
    23 {
    24     return x >= 0.0 ? floor(x + 0.5) : ceil(x - 0.5);
    25 }
    26 inline NS_HIDDEN_(float) NS_roundf(float x)
    27 {
    28     return x >= 0.0f ? floorf(x + 0.5f) : ceilf(x - 0.5f);
    29 }
    30 inline NS_HIDDEN_(int32_t) NS_lround(double x)
    31 {
    32     return x >= 0.0 ? int32_t(x + 0.5) : int32_t(x - 0.5);
    33 }
    35 /* NS_roundup30 rounds towards infinity for positive and       */
    36 /* negative numbers.                                           */
    38 #if defined(XP_WIN32) && defined(_M_IX86) && !defined(__GNUC__)
    39 inline NS_HIDDEN_(int32_t) NS_lroundup30(float x)
    40 {
    41     /* Code derived from Laurent de Soras' paper at             */
    42     /* http://ldesoras.free.fr/doc/articles/rounding_en.pdf     */
    44     /* Rounding up on Windows is expensive using the float to   */
    45     /* int conversion and the floor function. A faster          */
    46     /* approach is to use f87 rounding while assuming the       */
    47     /* default rounding mode of rounding to the nearest         */
    48     /* integer. This rounding mode, however, actually rounds    */
    49     /* to the nearest integer so we add the floating point      */
    50     /* number to itself and add our rounding factor before      */
    51     /* doing the conversion to an integer. We then do a right   */
    52     /* shift of one bit on the integer to divide by two.        */
    54     /* This routine doesn't handle numbers larger in magnitude  */
    55     /* than 2^30 but this is fine for NSToCoordRound because    */
    56     /* Coords are limited to 2^30 in magnitude.                 */
    58     static const double round_to_nearest = 0.5f;
    59     int i;
    61     __asm {
    62       fld     x                   ; load fp argument
    63       fadd    st, st(0)           ; double it
    64       fadd    round_to_nearest    ; add the rounding factor
    65       fistp   dword ptr i         ; convert the result to int
    66     }
    67     return i >> 1;                /* divide by 2 */
    68 }
    69 #endif /* XP_WIN32 && _M_IX86 && !__GNUC__ */
    71 inline NS_HIDDEN_(int32_t) NS_lroundf(float x)
    72 {
    73     return x >= 0.0f ? int32_t(x + 0.5f) : int32_t(x - 0.5f);
    74 }
    76 /*
    77  * hypot.  We don't need a super accurate version of this, if a platform
    78  * turns up with none of the possibilities below it would be okay to fall
    79  * back to sqrt(x*x + y*y).
    80  */
    81 inline NS_HIDDEN_(double) NS_hypot(double x, double y)
    82 {
    83 #ifdef __GNUC__
    84     return __builtin_hypot(x, y);
    85 #elif defined _WIN32
    86     return _hypot(x, y);
    87 #else
    88     return hypot(x, y);
    89 #endif
    90 }
    92 /**
    93  * Check whether a floating point number is finite (not +/-infinity and not a
    94  * NaN value).
    95  */
    96 inline NS_HIDDEN_(bool) NS_finite(double d)
    97 {
    98 #ifdef WIN32
    99     // NOTE: '!!' casts an int to bool without spamming MSVC warning C4800.
   100     return !!_finite(d);
   101 #elif defined(XP_DARWIN)
   102     // Darwin has deprecated |finite| and recommends |isfinite|. The former is
   103     // not present in the iOS SDK.
   104     return std::isfinite(d);
   105 #else
   106     return finite(d);
   107 #endif
   108 }
   110 /**
   111  * Returns the result of the modulo of x by y using a floored division.
   112  * fmod(x, y) is using a truncated division.
   113  * The main difference is that the result of this method will have the sign of
   114  * y while the result of fmod(x, y) will have the sign of x.
   115  */
   116 inline NS_HIDDEN_(double) NS_floorModulo(double x, double y)
   117 {
   118   return (x - y * floor(x / y));
   119 }
   121 #endif

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