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1 /* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 4 -*- |
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2 * This Source Code Form is subject to the terms of the Mozilla Public |
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3 * License, v. 2.0. If a copy of the MPL was not distributed with this |
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4 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
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5 |
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6 #ifndef nsMathUtils_h__ |
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7 #define nsMathUtils_h__ |
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8 |
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9 #define _USE_MATH_DEFINES /* needed for M_ constants on Win32 */ |
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10 |
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11 #include "nscore.h" |
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12 #include <cmath> |
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13 #include <float.h> |
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14 |
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15 #ifdef SOLARIS |
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16 #include <ieeefp.h> |
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17 #endif |
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18 |
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19 /* |
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20 * round |
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21 */ |
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22 inline NS_HIDDEN_(double) NS_round(double x) |
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23 { |
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24 return x >= 0.0 ? floor(x + 0.5) : ceil(x - 0.5); |
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25 } |
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26 inline NS_HIDDEN_(float) NS_roundf(float x) |
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27 { |
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28 return x >= 0.0f ? floorf(x + 0.5f) : ceilf(x - 0.5f); |
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29 } |
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30 inline NS_HIDDEN_(int32_t) NS_lround(double x) |
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31 { |
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32 return x >= 0.0 ? int32_t(x + 0.5) : int32_t(x - 0.5); |
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33 } |
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34 |
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35 /* NS_roundup30 rounds towards infinity for positive and */ |
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36 /* negative numbers. */ |
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37 |
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38 #if defined(XP_WIN32) && defined(_M_IX86) && !defined(__GNUC__) |
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39 inline NS_HIDDEN_(int32_t) NS_lroundup30(float x) |
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40 { |
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41 /* Code derived from Laurent de Soras' paper at */ |
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42 /* http://ldesoras.free.fr/doc/articles/rounding_en.pdf */ |
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43 |
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44 /* Rounding up on Windows is expensive using the float to */ |
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45 /* int conversion and the floor function. A faster */ |
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46 /* approach is to use f87 rounding while assuming the */ |
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47 /* default rounding mode of rounding to the nearest */ |
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48 /* integer. This rounding mode, however, actually rounds */ |
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49 /* to the nearest integer so we add the floating point */ |
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50 /* number to itself and add our rounding factor before */ |
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51 /* doing the conversion to an integer. We then do a right */ |
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52 /* shift of one bit on the integer to divide by two. */ |
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53 |
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54 /* This routine doesn't handle numbers larger in magnitude */ |
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55 /* than 2^30 but this is fine for NSToCoordRound because */ |
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56 /* Coords are limited to 2^30 in magnitude. */ |
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57 |
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58 static const double round_to_nearest = 0.5f; |
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59 int i; |
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60 |
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61 __asm { |
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62 fld x ; load fp argument |
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63 fadd st, st(0) ; double it |
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64 fadd round_to_nearest ; add the rounding factor |
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65 fistp dword ptr i ; convert the result to int |
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66 } |
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67 return i >> 1; /* divide by 2 */ |
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68 } |
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69 #endif /* XP_WIN32 && _M_IX86 && !__GNUC__ */ |
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70 |
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71 inline NS_HIDDEN_(int32_t) NS_lroundf(float x) |
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72 { |
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73 return x >= 0.0f ? int32_t(x + 0.5f) : int32_t(x - 0.5f); |
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74 } |
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75 |
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76 /* |
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77 * hypot. We don't need a super accurate version of this, if a platform |
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78 * turns up with none of the possibilities below it would be okay to fall |
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79 * back to sqrt(x*x + y*y). |
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80 */ |
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81 inline NS_HIDDEN_(double) NS_hypot(double x, double y) |
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82 { |
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83 #ifdef __GNUC__ |
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84 return __builtin_hypot(x, y); |
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85 #elif defined _WIN32 |
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86 return _hypot(x, y); |
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87 #else |
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88 return hypot(x, y); |
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89 #endif |
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90 } |
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91 |
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92 /** |
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93 * Check whether a floating point number is finite (not +/-infinity and not a |
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94 * NaN value). |
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95 */ |
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96 inline NS_HIDDEN_(bool) NS_finite(double d) |
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97 { |
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98 #ifdef WIN32 |
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99 // NOTE: '!!' casts an int to bool without spamming MSVC warning C4800. |
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100 return !!_finite(d); |
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101 #elif defined(XP_DARWIN) |
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102 // Darwin has deprecated |finite| and recommends |isfinite|. The former is |
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103 // not present in the iOS SDK. |
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104 return std::isfinite(d); |
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105 #else |
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106 return finite(d); |
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107 #endif |
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108 } |
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109 |
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110 /** |
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111 * Returns the result of the modulo of x by y using a floored division. |
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112 * fmod(x, y) is using a truncated division. |
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113 * The main difference is that the result of this method will have the sign of |
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114 * y while the result of fmod(x, y) will have the sign of x. |
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115 */ |
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116 inline NS_HIDDEN_(double) NS_floorModulo(double x, double y) |
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117 { |
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118 return (x - y * floor(x / y)); |
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119 } |
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120 |
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121 #endif |