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<h1>irrMath.h</h1><a href="irr_math_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">// Copyright (C) 2002-2009 Nikolaus Gebhardt</span>
<a name="l00002"></a>00002 <span class="comment">// This file is part of the "Irrlicht Engine".</span>
<a name="l00003"></a>00003 <span class="comment">// For conditions of distribution and use, see copyright notice in irrlicht.h</span>
<a name="l00004"></a>00004
<a name="l00005"></a>00005 <span class="preprocessor">#ifndef __IRR_MATH_H_INCLUDED__</span>
<a name="l00006"></a>00006 <span class="preprocessor"></span><span class="preprocessor">#define __IRR_MATH_H_INCLUDED__</span>
<a name="l00007"></a>00007 <span class="preprocessor"></span>
<a name="l00008"></a>00008 <span class="preprocessor">#include "<a class="code" href="_irr_compile_config_8h.html">IrrCompileConfig.h</a>"</span>
<a name="l00009"></a>00009 <span class="preprocessor">#include "<a class="code" href="irr_types_8h.html">irrTypes.h</a>"</span>
<a name="l00010"></a>00010 <span class="preprocessor">#include <math.h></span>
<a name="l00011"></a>00011 <span class="preprocessor">#include <float.h></span>
<a name="l00012"></a>00012 <span class="preprocessor">#include <stdlib.h></span> <span class="comment">// for abs() etc.</span>
<a name="l00013"></a>00013 <span class="preprocessor">#include <limits.h></span> <span class="comment">// For INT_MAX / UINT_MAX</span>
<a name="l00014"></a>00014
<a name="l00015"></a>00015 <span class="preprocessor">#if defined(_IRR_SOLARIS_PLATFORM_) || defined(__BORLANDC__) || defined (__BCPLUSPLUS__) || defined (_WIN32_WCE)</span>
<a name="l00016"></a>00016 <span class="preprocessor"></span><span class="preprocessor"> #define sqrtf(X) (f32)sqrt((f64)(X))</span>
<a name="l00017"></a>00017 <span class="preprocessor"></span><span class="preprocessor"> #define sinf(X) (f32)sin((f64)(X))</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor"> #define cosf(X) (f32)cos((f64)(X))</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span><span class="preprocessor"> #define asinf(X) (f32)asin((f64)(X))</span>
<a name="l00020"></a>00020 <span class="preprocessor"></span><span class="preprocessor"> #define acosf(X) (f32)acos((f64)(X))</span>
<a name="l00021"></a>00021 <span class="preprocessor"></span><span class="preprocessor"> #define atan2f(X,Y) (f32)atan2((f64)(X),(f64)(Y))</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor"> #define ceilf(X) (f32)ceil((f64)(X))</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor"> #define floorf(X) (f32)floor((f64)(X))</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span><span class="preprocessor"> #define powf(X,Y) (f32)pow((f64)(X),(f64)(Y))</span>
<a name="l00025"></a>00025 <span class="preprocessor"></span><span class="preprocessor"> #define fmodf(X,Y) (f32)fmod((f64)(X),(f64)(Y))</span>
<a name="l00026"></a>00026 <span class="preprocessor"></span><span class="preprocessor"> #define fabsf(X) (f32)fabs((f64)(X))</span>
<a name="l00027"></a>00027 <span class="preprocessor"></span><span class="preprocessor"> #define logf(X) (f32)log((f64)(X))</span>
<a name="l00028"></a>00028 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span>
<a name="l00030"></a>00030 <span class="preprocessor">#ifndef FLT_MAX</span>
<a name="l00031"></a><a class="code" href="irr_math_8h.html#7fbf1534f9e0f0bfdb86fb928902474c">00031</a> <span class="preprocessor"></span><span class="preprocessor">#define FLT_MAX 3.402823466E+38F</span>
<a name="l00032"></a>00032 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00033"></a>00033 <span class="preprocessor"></span>
<a name="l00034"></a>00034 <span class="keyword">namespace </span>irr
<a name="l00035"></a>00035 {
<a name="l00036"></a>00036 <span class="keyword">namespace </span>core
<a name="l00037"></a>00037 {
<a name="l00038"></a>00038
<a name="l00040"></a>00040
<a name="l00041"></a><a class="code" href="namespaceirr_1_1core.html#ac9f99b6a999bdf25fec402c59e8342a">00041</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#ac9f99b6a999bdf25fec402c59e8342a" title="Rounding error constant often used when comparing f32 values.">ROUNDING_ERROR_S32</a> = 1;
<a name="l00042"></a><a class="code" href="namespaceirr_1_1core.html#9514dd34463a30102ef8836915cf9c4c">00042</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a> = 0.000001f;
<a name="l00043"></a><a class="code" href="namespaceirr_1_1core.html#7b314c22d6804639cbcbce5231724f0b">00043</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a> = 0.00000001;
<a name="l00044"></a>00044
<a name="l00045"></a>00045 <span class="preprocessor">#ifdef PI // make sure we don't collide with a define</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span><span class="preprocessor">#undef PI</span>
<a name="l00047"></a>00047 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00049"></a><a class="code" href="namespaceirr_1_1core.html#26d877e2caf3e6f31c298a0417a0707e">00049</a> <span class="preprocessor"> const f32 PI = 3.14159265359f;</span>
<a name="l00050"></a>00050 <span class="preprocessor"></span>
<a name="l00052"></a><a class="code" href="namespaceirr_1_1core.html#c97bfaa5b44703e61c23c91b88f3ec3a">00052</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#c97bfaa5b44703e61c23c91b88f3ec3a" title="Constant for reciprocal of PI.">RECIPROCAL_PI</a> = 1.0f/<a class="code" href="namespaceirr_1_1core.html#26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>;
<a name="l00053"></a>00053
<a name="l00055"></a><a class="code" href="namespaceirr_1_1core.html#beab884c4376c5740f6d916356e9baa3">00055</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#beab884c4376c5740f6d916356e9baa3" title="Constant for half of PI.">HALF_PI</a> = <a class="code" href="namespaceirr_1_1core.html#26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>/2.0f;
<a name="l00056"></a>00056
<a name="l00057"></a>00057 <span class="preprocessor">#ifdef PI64 // make sure we don't collide with a define</span>
<a name="l00058"></a>00058 <span class="preprocessor"></span><span class="preprocessor">#undef PI64</span>
<a name="l00059"></a>00059 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00061"></a><a class="code" href="namespaceirr_1_1core.html#166af519140dc00cbd88684e835086f8">00061</a> <span class="preprocessor"> const f64 PI64 = 3.1415926535897932384626433832795028841971693993751;</span>
<a name="l00062"></a>00062 <span class="preprocessor"></span>
<a name="l00064"></a><a class="code" href="namespaceirr_1_1core.html#d3a2ddd6d772edb4d663d73fae5434e3">00064</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#d3a2ddd6d772edb4d663d73fae5434e3" title="Constant for 64bit reciprocal of PI.">RECIPROCAL_PI64</a> = 1.0/<a class="code" href="namespaceirr_1_1core.html#166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a>;
<a name="l00065"></a>00065
<a name="l00067"></a><a class="code" href="namespaceirr_1_1core.html#4b91e69e51a2e374aec940cba3869028">00067</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#4b91e69e51a2e374aec940cba3869028" title="32bit Constant for converting from degrees to radians">DEGTORAD</a> = <a class="code" href="namespaceirr_1_1core.html#26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a> / 180.0f;
<a name="l00068"></a>00068
<a name="l00070"></a><a class="code" href="namespaceirr_1_1core.html#e3a530e0ef661960b7af89f07d817bd5">00070</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#e3a530e0ef661960b7af89f07d817bd5" title="32bit constant for converting from radians to degrees (formally known as GRAD_PI)...">RADTODEG</a> = 180.0f / <a class="code" href="namespaceirr_1_1core.html#26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>;
<a name="l00071"></a>00071
<a name="l00073"></a><a class="code" href="namespaceirr_1_1core.html#8e21b5969c8292857f7c9c5dcfd61c35">00073</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#8e21b5969c8292857f7c9c5dcfd61c35" title="64bit constant for converting from degrees to radians (formally known as GRAD_PI2)...">DEGTORAD64</a> = <a class="code" href="namespaceirr_1_1core.html#166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a> / 180.0;
<a name="l00074"></a>00074
<a name="l00076"></a><a class="code" href="namespaceirr_1_1core.html#e7afeb48af12f5f5130cd179a644ec58">00076</a> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#e7afeb48af12f5f5130cd179a644ec58" title="64bit constant for converting from radians to degrees">RADTODEG64</a> = 180.0 / <a class="code" href="namespaceirr_1_1core.html#166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a>;
<a name="l00077"></a>00077
<a name="l00079"></a>00079
<a name="l00082"></a><a class="code" href="namespaceirr_1_1core.html#8deb22ad77fb8ead3f6683bbf9ad3f67">00082</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#8deb22ad77fb8ead3f6683bbf9ad3f67" title="Utility function to convert a radian value to degrees.">radToDeg</a>(<a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> radians)
<a name="l00083"></a>00083 {
<a name="l00084"></a>00084 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#e3a530e0ef661960b7af89f07d817bd5" title="32bit constant for converting from radians to degrees (formally known as GRAD_PI)...">RADTODEG</a> * radians;
<a name="l00085"></a>00085 }
<a name="l00086"></a>00086
<a name="l00088"></a>00088
<a name="l00091"></a><a class="code" href="namespaceirr_1_1core.html#ab39939b1518daee0967c368a3bf924a">00091</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#8deb22ad77fb8ead3f6683bbf9ad3f67" title="Utility function to convert a radian value to degrees.">radToDeg</a>(<a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> radians)
<a name="l00092"></a>00092 {
<a name="l00093"></a>00093 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#e7afeb48af12f5f5130cd179a644ec58" title="64bit constant for converting from radians to degrees">RADTODEG64</a> * radians;
<a name="l00094"></a>00094 }
<a name="l00095"></a>00095
<a name="l00097"></a>00097
<a name="l00100"></a><a class="code" href="namespaceirr_1_1core.html#d58b3d0e755a4f25ad19d5f5d4fb0280">00100</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#d58b3d0e755a4f25ad19d5f5d4fb0280" title="Utility function to convert a degrees value to radians.">degToRad</a>(<a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> degrees)
<a name="l00101"></a>00101 {
<a name="l00102"></a>00102 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#4b91e69e51a2e374aec940cba3869028" title="32bit Constant for converting from degrees to radians">DEGTORAD</a> * degrees;
<a name="l00103"></a>00103 }
<a name="l00104"></a>00104
<a name="l00106"></a>00106
<a name="l00109"></a><a class="code" href="namespaceirr_1_1core.html#2def535b4f391ceb86ec0497cbb4bf80">00109</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#d58b3d0e755a4f25ad19d5f5d4fb0280" title="Utility function to convert a degrees value to radians.">degToRad</a>(<a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> degrees)
<a name="l00110"></a>00110 {
<a name="l00111"></a>00111 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#8e21b5969c8292857f7c9c5dcfd61c35" title="64bit constant for converting from degrees to radians (formally known as GRAD_PI2)...">DEGTORAD64</a> * degrees;
<a name="l00112"></a>00112 }
<a name="l00113"></a>00113
<a name="l00115"></a>00115 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00116"></a><a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d">00116</a> <span class="keyword">inline</span> <span class="keyword">const</span> T& <a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)...">min_</a>(<span class="keyword">const</span> T& a, <span class="keyword">const</span> T& b)
<a name="l00117"></a>00117 {
<a name="l00118"></a>00118 <span class="keywordflow">return</span> a < b ? a : b;
<a name="l00119"></a>00119 }
<a name="l00120"></a>00120
<a name="l00122"></a>00122 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00123"></a><a class="code" href="namespaceirr_1_1core.html#e20fd3a0ca22187474d9a957f4a6578b">00123</a> <span class="keyword">inline</span> <span class="keyword">const</span> T& <a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)...">min_</a>(<span class="keyword">const</span> T& a, <span class="keyword">const</span> T& b, <span class="keyword">const</span> T& c)
<a name="l00124"></a>00124 {
<a name="l00125"></a>00125 <span class="keywordflow">return</span> a < b ? <a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)...">min_</a>(a, c) : <a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)...">min_</a>(b, c);
<a name="l00126"></a>00126 }
<a name="l00127"></a>00127
<a name="l00129"></a>00129 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00130"></a><a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95">00130</a> <span class="keyword">inline</span> <span class="keyword">const</span> T& <a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)...">max_</a>(<span class="keyword">const</span> T& a, <span class="keyword">const</span> T& b)
<a name="l00131"></a>00131 {
<a name="l00132"></a>00132 <span class="keywordflow">return</span> a < b ? b : a;
<a name="l00133"></a>00133 }
<a name="l00134"></a>00134
<a name="l00136"></a>00136 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00137"></a><a class="code" href="namespaceirr_1_1core.html#425e2da73833f4f47a83b7b5b21ac729">00137</a> <span class="keyword">inline</span> <span class="keyword">const</span> T& <a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)...">max_</a>(<span class="keyword">const</span> T& a, <span class="keyword">const</span> T& b, <span class="keyword">const</span> T& c)
<a name="l00138"></a>00138 {
<a name="l00139"></a>00139 <span class="keywordflow">return</span> a < b ? <a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)...">max_</a>(b, c) : <a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)...">max_</a>(a, c);
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141
<a name="l00143"></a>00143 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00144"></a><a class="code" href="namespaceirr_1_1core.html#96bc3fc4602e5b04250d0964ba25e79b">00144</a> <span class="keyword">inline</span> T <a class="code" href="namespaceirr_1_1core.html#96bc3fc4602e5b04250d0964ba25e79b" title="returns abs of two values. Own implementation to get rid of STL (VS6 problems)">abs_</a>(<span class="keyword">const</span> T& a)
<a name="l00145"></a>00145 {
<a name="l00146"></a>00146 <span class="keywordflow">return</span> a < (T)0 ? -a : a;
<a name="l00147"></a>00147 }
<a name="l00148"></a>00148
<a name="l00151"></a>00151 <span class="keyword">template</span><<span class="keyword">class</span> T>
<a name="l00152"></a><a class="code" href="namespaceirr_1_1core.html#c394166a81388acd0b97daff680a7474">00152</a> <span class="keyword">inline</span> T <a class="code" href="namespaceirr_1_1core.html#c394166a81388acd0b97daff680a7474">lerp</a>(<span class="keyword">const</span> T& a, <span class="keyword">const</span> T& b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> t)
<a name="l00153"></a>00153 {
<a name="l00154"></a>00154 <span class="keywordflow">return</span> (T)(a*(1.f-t)) + (b*t);
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156
<a name="l00158"></a>00158 <span class="keyword">template</span> <<span class="keyword">class</span> T>
<a name="l00159"></a><a class="code" href="namespaceirr_1_1core.html#91284ddd030b8651cab294e16aa5f6bc">00159</a> <span class="keyword">inline</span> <span class="keyword">const</span> T <a class="code" href="namespaceirr_1_1core.html#91284ddd030b8651cab294e16aa5f6bc" title="clamps a value between low and high">clamp</a> (<span class="keyword">const</span> T& value, <span class="keyword">const</span> T& low, <span class="keyword">const</span> T& high)
<a name="l00160"></a>00160 {
<a name="l00161"></a>00161 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#307354570474ae7d399cb1c536c3546d" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)...">min_</a> (<a class="code" href="namespaceirr_1_1core.html#fc29e2de032d68f1d26fd81d11073a95" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)...">max_</a>(value,low), high);
<a name="l00162"></a>00162 }
<a name="l00163"></a>00163
<a name="l00165"></a><a class="code" href="namespaceirr_1_1core.html#bf9b9b140cc365908ea4c8c47451e4e3">00165</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#bf9b9b140cc365908ea4c8c47451e4e3" title="returns if a equals b, taking possible rounding errors into account">equals</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a>)
<a name="l00166"></a>00166 {
<a name="l00167"></a>00167 <span class="keywordflow">return</span> (a + tolerance >= b) && (a - tolerance <= b);
<a name="l00168"></a>00168 }
<a name="l00169"></a>00169
<a name="l00171"></a><a class="code" href="namespaceirr_1_1core.html#e9c63fd2065e6afd30b4537166706ddf">00171</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#bf9b9b140cc365908ea4c8c47451e4e3" title="returns if a equals b, taking possible rounding errors into account">equals</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00172"></a>00172 {
<a name="l00173"></a>00173 <span class="keywordflow">return</span> (a + tolerance >= b) && (a - tolerance <= b);
<a name="l00174"></a>00174 }
<a name="l00175"></a>00175 <span class="preprocessor">#if 0</span>
<a name="l00177"></a>00177 <span class="preprocessor"> inline bool equals(const s32 a, const s32 b)</span>
<a name="l00178"></a>00178 <span class="preprocessor"></span> {
<a name="l00179"></a>00179 <span class="keywordflow">return</span> (a == b);
<a name="l00180"></a>00180 }
<a name="l00181"></a>00181
<a name="l00183"></a>00183 <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#bf9b9b140cc365908ea4c8c47451e4e3" title="returns if a equals b, taking possible rounding errors into account">equals</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b)
<a name="l00184"></a>00184 {
<a name="l00185"></a>00185 <span class="keywordflow">return</span> (a == b);
<a name="l00186"></a>00186 }
<a name="l00187"></a>00187 <span class="preprocessor">#endif</span>
<a name="l00189"></a><a class="code" href="namespaceirr_1_1core.html#fe4784d5bf091acce7777c40c4010ff8">00189</a> <span class="preprocessor"> inline bool equals(const s32 a, const s32 b, const s32 tolerance = ROUNDING_ERROR_S32)</span>
<a name="l00190"></a>00190 <span class="preprocessor"></span> {
<a name="l00191"></a>00191 <span class="keywordflow">return</span> (a + tolerance >= b) && (a - tolerance <= b);
<a name="l00192"></a>00192 }
<a name="l00193"></a>00193
<a name="l00195"></a><a class="code" href="namespaceirr_1_1core.html#9a54aa08fdc2119258ad8dfa44f8dadf">00195</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#bf9b9b140cc365908ea4c8c47451e4e3" title="returns if a equals b, taking possible rounding errors into account">equals</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#ac9f99b6a999bdf25fec402c59e8342a" title="Rounding error constant often used when comparing f32 values.">ROUNDING_ERROR_S32</a>)
<a name="l00196"></a>00196 {
<a name="l00197"></a>00197 <span class="keywordflow">return</span> (a + tolerance >= b) && (a - tolerance <= b);
<a name="l00198"></a>00198 }
<a name="l00199"></a>00199
<a name="l00200"></a>00200
<a name="l00202"></a><a class="code" href="namespaceirr_1_1core.html#fc24e6ba26469ec7ca7001ed272dc3b2">00202</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#fc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a>)
<a name="l00203"></a>00203 {
<a name="l00204"></a>00204 <span class="keywordflow">return</span> fabs(a) <= tolerance;
<a name="l00205"></a>00205 }
<a name="l00206"></a>00206
<a name="l00208"></a><a class="code" href="namespaceirr_1_1core.html#af94a81169679083a48f9f9e6dced684">00208</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#fc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00209"></a>00209 {
<a name="l00210"></a>00210 <span class="keywordflow">return</span> fabsf(a) <= tolerance;
<a name="l00211"></a>00211 }
<a name="l00212"></a>00212
<a name="l00214"></a><a class="code" href="namespaceirr_1_1core.html#6e179d6dd92b81607f0539329dc2410a">00214</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#6e179d6dd92b81607f0539329dc2410a" title="returns if a equals not zero, taking rounding errors into account">isnotzero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00215"></a>00215 {
<a name="l00216"></a>00216 <span class="keywordflow">return</span> fabsf(a) > tolerance;
<a name="l00217"></a>00217 }
<a name="l00218"></a>00218
<a name="l00220"></a><a class="code" href="namespaceirr_1_1core.html#3842b13dc7bd40f068cc8f7fd91bcfa5">00220</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#fc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> tolerance = 0)
<a name="l00221"></a>00221 {
<a name="l00222"></a>00222 <span class="keywordflow">return</span> ( a & 0x7ffffff ) <= tolerance;
<a name="l00223"></a>00223 }
<a name="l00224"></a>00224
<a name="l00226"></a><a class="code" href="namespaceirr_1_1core.html#fa64d4495f986ec0fa840e61cba45c68">00226</a> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#fc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> tolerance = 0)
<a name="l00227"></a>00227 {
<a name="l00228"></a>00228 <span class="keywordflow">return</span> a <= tolerance;
<a name="l00229"></a>00229 }
<a name="l00230"></a>00230
<a name="l00231"></a><a class="code" href="namespaceirr_1_1core.html#a0d9ebcfeca532643e76cf58b98daca1">00231</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#a0d9ebcfeca532643e76cf58b98daca1">s32_min</a>(<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b)
<a name="l00232"></a>00232 {
<a name="l00233"></a>00233 <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> mask = (a - b) >> 31;
<a name="l00234"></a>00234 <span class="keywordflow">return</span> (a & mask) | (b & ~mask);
<a name="l00235"></a>00235 }
<a name="l00236"></a>00236
<a name="l00237"></a><a class="code" href="namespaceirr_1_1core.html#3adbc0ee7f78051eb2a35511fe90bd2d">00237</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#3adbc0ee7f78051eb2a35511fe90bd2d">s32_max</a>(<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b)
<a name="l00238"></a>00238 {
<a name="l00239"></a>00239 <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> mask = (a - b) >> 31;
<a name="l00240"></a>00240 <span class="keywordflow">return</span> (b & mask) | (a & ~mask);
<a name="l00241"></a>00241 }
<a name="l00242"></a>00242
<a name="l00243"></a><a class="code" href="namespaceirr_1_1core.html#a7828c932a36c62a67fd0f2b972d8b21">00243</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#a7828c932a36c62a67fd0f2b972d8b21">s32_clamp</a> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> value, <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> low, <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> high)
<a name="l00244"></a>00244 {
<a name="l00245"></a>00245 <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#a0d9ebcfeca532643e76cf58b98daca1">s32_min</a>(<a class="code" href="namespaceirr_1_1core.html#3adbc0ee7f78051eb2a35511fe90bd2d">s32_max</a>(value,low), high);
<a name="l00246"></a>00246 }
<a name="l00247"></a>00247
<a name="l00248"></a>00248 <span class="comment">/*</span>
<a name="l00249"></a>00249 <span class="comment"> float IEEE-754 bit represenation</span>
<a name="l00250"></a>00250 <span class="comment"></span>
<a name="l00251"></a>00251 <span class="comment"> 0 0x00000000</span>
<a name="l00252"></a>00252 <span class="comment"> 1.0 0x3f800000</span>
<a name="l00253"></a>00253 <span class="comment"> 0.5 0x3f000000</span>
<a name="l00254"></a>00254 <span class="comment"> 3 0x40400000</span>
<a name="l00255"></a>00255 <span class="comment"> +inf 0x7f800000</span>
<a name="l00256"></a>00256 <span class="comment"> -inf 0xff800000</span>
<a name="l00257"></a>00257 <span class="comment"> +NaN 0x7fc00000 or 0x7ff00000</span>
<a name="l00258"></a>00258 <span class="comment"> in general: number = (sign ? -1:1) * 2^(exponent) * 1.(mantissa bits)</span>
<a name="l00259"></a>00259 <span class="comment"> */</span>
<a name="l00260"></a>00260
<a name="l00261"></a><a class="code" href="unionirr_1_1core_1_1inttofloat.html#87651356c7436ac7755e85189412f75a">00261</a> <span class="keyword">typedef</span> <span class="keyword">union </span>{ <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> u; <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> s; <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f; } <a class="code" href="unionirr_1_1core_1_1inttofloat.html">inttofloat</a>;
<a name="l00262"></a>00262
<a name="l00263"></a><a class="code" href="irr_math_8h.html#fc4f1a86cb2a79c560b29ee5edd0f94d">00263</a> <span class="preprocessor"> #define F32_AS_S32(f) (*((s32 *) &(f)))</span>
<a name="l00264"></a><a class="code" href="irr_math_8h.html#fdeb4b30296d2b1dccec72427bdb39f2">00264</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_AS_U32(f) (*((u32 *) &(f)))</span>
<a name="l00265"></a><a class="code" href="irr_math_8h.html#b5498fea750901e87dfeca4e27425f16">00265</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_AS_U32_POINTER(f) ( ((u32 *) &(f)))</span>
<a name="l00266"></a>00266 <span class="preprocessor"></span>
<a name="l00267"></a><a class="code" href="irr_math_8h.html#ff2ace8fbd4b2ee6833ae0ed8dd9469a">00267</a> <span class="preprocessor"> #define F32_VALUE_0 0x00000000</span>
<a name="l00268"></a><a class="code" href="irr_math_8h.html#93465b810662025b38f42244b100fc2e">00268</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_VALUE_1 0x3f800000</span>
<a name="l00269"></a><a class="code" href="irr_math_8h.html#58566d4b084b3c9740b3215cf7a607bb">00269</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_SIGN_BIT 0x80000000U</span>
<a name="l00270"></a><a class="code" href="irr_math_8h.html#94abc82f2a2794c8331c9dad9a06958b">00270</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_EXPON_MANTISSA 0x7FFFFFFFU</span>
<a name="l00271"></a>00271 <span class="preprocessor"></span>
<a name="l00274"></a>00274 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00275"></a>00275 <span class="preprocessor"></span><span class="preprocessor"> #define IR(x) ((u32&)(x))</span>
<a name="l00276"></a>00276 <span class="preprocessor"></span><span class="preprocessor">#else</span>
<a name="l00277"></a><a class="code" href="namespaceirr_1_1core.html#ff42ea2c4d80cb7b45b71d1f63c6a226">00277</a> <span class="preprocessor"></span> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#ff42ea2c4d80cb7b45b71d1f63c6a226">IR</a>(<a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x) {<a class="code" href="unionirr_1_1core_1_1inttofloat.html">inttofloat</a> tmp; tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#b0dd36fa35cbb368602fa0d18b2d9788">f</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#87651356c7436ac7755e85189412f75a">u</a>;}
<a name="l00278"></a>00278 <span class="preprocessor">#endif</span>
<a name="l00279"></a>00279 <span class="preprocessor"></span>
<a name="l00281"></a><a class="code" href="irr_math_8h.html#a854d8430e0acc31adb1ddb3647f6534">00281</a> <span class="preprocessor"> #define AIR(x) (IR(x)&0x7fffffff)</span>
<a name="l00282"></a>00282 <span class="preprocessor"></span>
<a name="l00284"></a>00284 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00285"></a>00285 <span class="preprocessor"></span><span class="preprocessor"> #define FR(x) ((f32&)(x))</span>
<a name="l00286"></a>00286 <span class="preprocessor"></span><span class="preprocessor">#else</span>
<a name="l00287"></a><a class="code" href="namespaceirr_1_1core.html#e0940bd4032e5f10cf83b460f73571a3">00287</a> <span class="preprocessor"></span> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#e0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">FR</a>(<a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> x) {<a class="code" href="unionirr_1_1core_1_1inttofloat.html">inttofloat</a> tmp; tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#87651356c7436ac7755e85189412f75a">u</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#b0dd36fa35cbb368602fa0d18b2d9788">f</a>;}
<a name="l00288"></a><a class="code" href="namespaceirr_1_1core.html#10bf7ddf910b7feac9a36fd141a9f5ba">00288</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#e0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">FR</a>(<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> x) {<a class="code" href="unionirr_1_1core_1_1inttofloat.html">inttofloat</a> tmp; tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#1adc8b3417ac325bd9695c0cbb6c043e">s</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#b0dd36fa35cbb368602fa0d18b2d9788">f</a>;}
<a name="l00289"></a>00289 <span class="preprocessor">#endif</span>
<a name="l00290"></a>00290 <span class="preprocessor"></span>
<a name="l00292"></a><a class="code" href="irr_math_8h.html#3ec4980c07f6b510c61230356e014d24">00292</a> <span class="preprocessor"> #define IEEE_1_0 0x3f800000</span>
<a name="l00294"></a><a class="code" href="irr_math_8h.html#2b311316554140ac181c31d86f4f3786">00294</a> <span class="preprocessor"> #define IEEE_255_0 0x437f0000</span>
<a name="l00295"></a>00295 <span class="preprocessor"></span>
<a name="l00296"></a>00296 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00297"></a>00297 <span class="preprocessor"></span><span class="preprocessor"> #define F32_LOWER_0(f) (F32_AS_U32(f) > F32_SIGN_BIT)</span>
<a name="l00298"></a>00298 <span class="preprocessor"></span><span class="preprocessor"> #define F32_LOWER_EQUAL_0(f) (F32_AS_S32(f) <= F32_VALUE_0)</span>
<a name="l00299"></a>00299 <span class="preprocessor"></span><span class="preprocessor"> #define F32_GREATER_0(f) (F32_AS_S32(f) > F32_VALUE_0)</span>
<a name="l00300"></a>00300 <span class="preprocessor"></span><span class="preprocessor"> #define F32_GREATER_EQUAL_0(f) (F32_AS_U32(f) <= F32_SIGN_BIT)</span>
<a name="l00301"></a>00301 <span class="preprocessor"></span><span class="preprocessor"> #define F32_EQUAL_1(f) (F32_AS_U32(f) == F32_VALUE_1)</span>
<a name="l00302"></a>00302 <span class="preprocessor"></span><span class="preprocessor"> #define F32_EQUAL_0(f) ( (F32_AS_U32(f) & F32_EXPON_MANTISSA ) == F32_VALUE_0)</span>
<a name="l00303"></a>00303 <span class="preprocessor"></span>
<a name="l00304"></a>00304 <span class="comment">// only same sign</span>
<a name="l00305"></a>00305 <span class="preprocessor"> #define F32_A_GREATER_B(a,b) (F32_AS_S32((a)) > F32_AS_S32((b)))</span>
<a name="l00306"></a>00306 <span class="preprocessor"></span>
<a name="l00307"></a>00307 <span class="preprocessor">#else</span>
<a name="l00308"></a>00308 <span class="preprocessor"></span>
<a name="l00309"></a><a class="code" href="irr_math_8h.html#a86a7d03858f88ebbf9e36592583ced6">00309</a> <span class="preprocessor"> #define F32_LOWER_0(n) ((n) < 0.0f)</span>
<a name="l00310"></a><a class="code" href="irr_math_8h.html#26bc42a9cc1fc775bc588052c32ff9a0">00310</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_LOWER_EQUAL_0(n) ((n) <= 0.0f)</span>
<a name="l00311"></a><a class="code" href="irr_math_8h.html#2fdc9e94ce29e1866ddf64e5903d43a1">00311</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_GREATER_0(n) ((n) > 0.0f)</span>
<a name="l00312"></a><a class="code" href="irr_math_8h.html#407afe61680cc405bbe04922d36423af">00312</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_GREATER_EQUAL_0(n) ((n) >= 0.0f)</span>
<a name="l00313"></a><a class="code" href="irr_math_8h.html#e907baf637203996fb3187581c2def80">00313</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_EQUAL_1(n) ((n) == 1.0f)</span>
<a name="l00314"></a><a class="code" href="irr_math_8h.html#3c82a09fb606a67c19514b534d364d6c">00314</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_EQUAL_0(n) ((n) == 0.0f)</span>
<a name="l00315"></a><a class="code" href="irr_math_8h.html#b4092d1d22af18e03372117e347b633c">00315</a> <span class="preprocessor"></span><span class="preprocessor"> #define F32_A_GREATER_B(a,b) ((a) > (b))</span>
<a name="l00316"></a>00316 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00317"></a>00317 <span class="preprocessor"></span>
<a name="l00318"></a>00318
<a name="l00319"></a>00319 <span class="preprocessor">#ifndef REALINLINE</span>
<a name="l00320"></a>00320 <span class="preprocessor"></span><span class="preprocessor"> #ifdef _MSC_VER</span>
<a name="l00321"></a>00321 <span class="preprocessor"></span><span class="preprocessor"> #define REALINLINE __forceinline</span>
<a name="l00322"></a>00322 <span class="preprocessor"></span><span class="preprocessor"> #else</span>
<a name="l00323"></a><a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">00323</a> <span class="preprocessor"></span><span class="preprocessor"> #define REALINLINE inline</span>
<a name="l00324"></a>00324 <span class="preprocessor"></span><span class="preprocessor"> #endif</span>
<a name="l00325"></a>00325 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00326"></a>00326 <span class="preprocessor"></span>
<a name="l00327"></a>00327 <span class="preprocessor">#if defined(__BORLANDC__) || defined (__BCPLUSPLUS__)</span>
<a name="l00328"></a>00328 <span class="preprocessor"></span>
<a name="l00329"></a>00329 <span class="comment">// 8-bit bools in borland builder</span>
<a name="l00330"></a>00330
<a name="l00332"></a>00332 <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#d6426246733e5dc16713f43352d85cdb" title="conditional set based on mask and arithmetic shift">if_c_a_else_b</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#9395eaea339bcb546b319e9c96bf7410" title="8 bit character variable.">c8</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b )
<a name="l00333"></a>00333 {
<a name="l00334"></a>00334 <span class="keywordflow">return</span> ( ( -condition >> 7 ) & ( a ^ b ) ) ^ b;
<a name="l00335"></a>00335 }
<a name="l00336"></a>00336
<a name="l00338"></a>00338 <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#f19c13d0084052f12357308c0cd83005" title="conditional set based on mask and arithmetic shift">if_c_a_else_0</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#9395eaea339bcb546b319e9c96bf7410" title="8 bit character variable.">c8</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a )
<a name="l00339"></a>00339 {
<a name="l00340"></a>00340 <span class="keywordflow">return</span> ( -condition >> 31 ) & a;
<a name="l00341"></a>00341 }
<a name="l00342"></a>00342 <span class="preprocessor">#else</span>
<a name="l00343"></a>00343 <span class="preprocessor"></span>
<a name="l00345"></a><a class="code" href="namespaceirr_1_1core.html#d6426246733e5dc16713f43352d85cdb">00345</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#d6426246733e5dc16713f43352d85cdb" title="conditional set based on mask and arithmetic shift">if_c_a_else_b</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b )
<a name="l00346"></a>00346 {
<a name="l00347"></a>00347 <span class="keywordflow">return</span> ( ( -condition >> 31 ) & ( a ^ b ) ) ^ b;
<a name="l00348"></a>00348 }
<a name="l00349"></a>00349
<a name="l00351"></a><a class="code" href="namespaceirr_1_1core.html#f1ec8eb919fdb81c259920cce4004329">00351</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#e9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> <a class="code" href="namespaceirr_1_1core.html#d6426246733e5dc16713f43352d85cdb" title="conditional set based on mask and arithmetic shift">if_c_a_else_b</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#43ace0af066371ac0862bac3f7314220" title="16 bit signed variable.">s16</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#e9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#e9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> b )
<a name="l00352"></a>00352 {
<a name="l00353"></a>00353 <span class="keywordflow">return</span> ( ( -condition >> 15 ) & ( a ^ b ) ) ^ b;
<a name="l00354"></a>00354 }
<a name="l00355"></a>00355
<a name="l00357"></a><a class="code" href="namespaceirr_1_1core.html#f19c13d0084052f12357308c0cd83005">00357</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#f19c13d0084052f12357308c0cd83005" title="conditional set based on mask and arithmetic shift">if_c_a_else_0</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a )
<a name="l00358"></a>00358 {
<a name="l00359"></a>00359 <span class="keywordflow">return</span> ( -condition >> 31 ) & a;
<a name="l00360"></a>00360 }
<a name="l00361"></a>00361 <span class="preprocessor">#endif</span>
<a name="l00362"></a>00362 <span class="preprocessor"></span>
<a name="l00363"></a>00363 <span class="comment">/*</span>
<a name="l00364"></a>00364 <span class="comment"> if (condition) state |= m; else state &= ~m;</span>
<a name="l00365"></a>00365 <span class="comment"> */</span>
<a name="l00366"></a><a class="code" href="namespaceirr_1_1core.html#628051738e8873b91b064e6014024f41">00366</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <span class="keywordtype">void</span> <a class="code" href="namespaceirr_1_1core.html#628051738e8873b91b064e6014024f41">setbit_cond</a> ( <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> &state, <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <a class="code" href="namespaceirr.html#0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> mask )
<a name="l00367"></a>00367 {
<a name="l00368"></a>00368 <span class="comment">// 0, or any postive to mask</span>
<a name="l00369"></a>00369 <span class="comment">//s32 conmask = -condition >> 31;</span>
<a name="l00370"></a>00370 state ^= ( ( -condition >> 31 ) ^ state ) & mask;
<a name="l00371"></a>00371 }
<a name="l00372"></a>00372
<a name="l00373"></a><a class="code" href="namespaceirr_1_1core.html#894a901069c34298987761c5f3d74f1f">00373</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#894a901069c34298987761c5f3d74f1f">round_</a>( <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00374"></a>00374 {
<a name="l00375"></a>00375 <span class="keywordflow">return</span> floorf( x + 0.5f );
<a name="l00376"></a>00376 }
<a name="l00377"></a>00377
<a name="l00378"></a><a class="code" href="namespaceirr_1_1core.html#b4c17ceae6e2b96383e842eabb9596ab">00378</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <span class="keywordtype">void</span> <a class="code" href="namespaceirr_1_1core.html#b4c17ceae6e2b96383e842eabb9596ab">clearFPUException</a> ()
<a name="l00379"></a>00379 {
<a name="l00380"></a>00380 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00381"></a>00381 <span class="preprocessor"></span> <span class="keywordflow">return</span>;
<a name="l00382"></a>00382 <span class="preprocessor">#ifdef feclearexcept</span>
<a name="l00383"></a>00383 <span class="preprocessor"></span> feclearexcept(FE_ALL_EXCEPT);
<a name="l00384"></a>00384 <span class="preprocessor">#elif defined(_MSC_VER)</span>
<a name="l00385"></a>00385 <span class="preprocessor"></span> __asm fnclex;
<a name="l00386"></a>00386 <span class="preprocessor">#elif defined(__GNUC__) && defined(__x86__)</span>
<a name="l00387"></a>00387 <span class="preprocessor"></span> __asm__ __volatile__ (<span class="stringliteral">"fclex \n\t"</span>);
<a name="l00388"></a>00388 <span class="preprocessor">#else</span>
<a name="l00389"></a>00389 <span class="preprocessor"></span><span class="preprocessor"># warn clearFPUException not supported.</span>
<a name="l00390"></a>00390 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00391"></a>00391 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00392"></a>00392 <span class="preprocessor"></span> }
<a name="l00393"></a>00393
<a name="l00394"></a>00394 <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00395"></a><a class="code" href="namespaceirr_1_1core.html#f2f378cc34a19f5da6fe1d4961646d1d">00395</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#f2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f)
<a name="l00396"></a>00396 {
<a name="l00397"></a>00397 <span class="keywordflow">return</span> sqrtf(f);
<a name="l00398"></a>00398 }
<a name="l00399"></a>00399
<a name="l00400"></a>00400 <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00401"></a><a class="code" href="namespaceirr_1_1core.html#d4378f076bf251c05e543ce888da8f48">00401</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#f2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> f)
<a name="l00402"></a>00402 {
<a name="l00403"></a>00403 <span class="keywordflow">return</span> sqrt(f);
<a name="l00404"></a>00404 }
<a name="l00405"></a>00405
<a name="l00406"></a>00406 <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00407"></a><a class="code" href="namespaceirr_1_1core.html#6943186698de9d2ff47ce03fbe025230">00407</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#f2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> f)
<a name="l00408"></a>00408 {
<a name="l00409"></a>00409 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a><span class="keyword">></span>(<a class="code" href="namespaceirr_1_1core.html#f2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(static_cast<f32>(f)));
<a name="l00410"></a>00410 }
<a name="l00411"></a>00411
<a name="l00412"></a>00412 <span class="comment">// calculate: 1 / sqrt ( x )</span>
<a name="l00413"></a><a class="code" href="namespaceirr_1_1core.html#daef309f12c2a3386e94610e24f2bfa7">00413</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#daef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> x)
<a name="l00414"></a>00414 {
<a name="l00415"></a>00415 <span class="keywordflow">return</span> 1.0 / sqrt(x);
<a name="l00416"></a>00416 }
<a name="l00417"></a>00417
<a name="l00418"></a>00418 <span class="comment">// calculate: 1 / sqrtf ( x )</span>
<a name="l00419"></a><a class="code" href="namespaceirr_1_1core.html#42eb747bb19d6ca2cb9d8977eb402c72">00419</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#daef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f)
<a name="l00420"></a>00420 {
<a name="l00421"></a>00421 <span class="preprocessor">#if defined ( IRRLICHT_FAST_MATH )</span>
<a name="l00422"></a>00422 <span class="preprocessor"></span><span class="preprocessor"> #if defined(_MSC_VER)</span>
<a name="l00423"></a>00423 <span class="preprocessor"></span> <span class="comment">// SSE reciprocal square root estimate, accurate to 12 significant</span>
<a name="l00424"></a>00424 <span class="comment">// bits of the mantissa</span>
<a name="l00425"></a>00425 <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> recsqrt;
<a name="l00426"></a>00426 __asm rsqrtss xmm0, f <span class="comment">// xmm0 = rsqrtss(f)</span>
<a name="l00427"></a>00427 __asm movss recsqrt, xmm0 <span class="comment">// return xmm0</span>
<a name="l00428"></a>00428 <span class="keywordflow">return</span> recsqrt;
<a name="l00429"></a>00429
<a name="l00430"></a>00430 <span class="comment">/*</span>
<a name="l00431"></a>00431 <span class="comment"> // comes from Nvidia</span>
<a name="l00432"></a>00432 <span class="comment"> u32 tmp = (u32(IEEE_1_0 << 1) + IEEE_1_0 - *(u32*)&x) >> 1;</span>
<a name="l00433"></a>00433 <span class="comment"> f32 y = *(f32*)&tmp;</span>
<a name="l00434"></a>00434 <span class="comment"> return y * (1.47f - 0.47f * x * y * y);</span>
<a name="l00435"></a>00435 <span class="comment">*/</span>
<a name="l00436"></a>00436 <span class="preprocessor"> #else</span>
<a name="l00437"></a>00437 <span class="preprocessor"></span> <span class="keywordflow">return</span> 1.f / sqrtf(f);
<a name="l00438"></a>00438 <span class="preprocessor"> #endif</span>
<a name="l00439"></a>00439 <span class="preprocessor"></span><span class="preprocessor">#else // no fast math</span>
<a name="l00440"></a>00440 <span class="preprocessor"></span> <span class="keywordflow">return</span> 1.f / sqrtf(f);
<a name="l00441"></a>00441 <span class="preprocessor">#endif</span>
<a name="l00442"></a>00442 <span class="preprocessor"></span> }
<a name="l00443"></a>00443
<a name="l00444"></a>00444 <span class="comment">// calculate: 1 / sqrtf( x )</span>
<a name="l00445"></a><a class="code" href="namespaceirr_1_1core.html#21c37238a7754b48ff18c486202a1e4b">00445</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#daef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> x)
<a name="l00446"></a>00446 {
<a name="l00447"></a>00447 <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a><span class="keyword">></span>(<a class="code" href="namespaceirr_1_1core.html#daef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(static_cast<f32>(x)));
<a name="l00448"></a>00448 }
<a name="l00449"></a>00449
<a name="l00450"></a>00450 <span class="comment">// calculate: 1 / x</span>
<a name="l00451"></a><a class="code" href="namespaceirr_1_1core.html#a01390f49052dfe07e16ee6c5233f4eb">00451</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a01390f49052dfe07e16ee6c5233f4eb">reciprocal</a>( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f )
<a name="l00452"></a>00452 {
<a name="l00453"></a>00453 <span class="preprocessor">#if defined (IRRLICHT_FAST_MATH)</span>
<a name="l00454"></a>00454 <span class="preprocessor"></span>
<a name="l00455"></a>00455 <span class="comment">// SSE Newton-Raphson reciprocal estimate, accurate to 23 significant</span>
<a name="l00456"></a>00456 <span class="comment">// bi ts of the mantissa</span>
<a name="l00457"></a>00457 <span class="comment">// One Newtown-Raphson Iteration:</span>
<a name="l00458"></a>00458 <span class="comment">// f(i+1) = 2 * rcpss(f) - f * rcpss(f) * rcpss(f)</span>
<a name="l00459"></a>00459 <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> rec;
<a name="l00460"></a>00460 __asm rcpss xmm0, f <span class="comment">// xmm0 = rcpss(f)</span>
<a name="l00461"></a>00461 __asm movss xmm1, f <span class="comment">// xmm1 = f</span>
<a name="l00462"></a>00462 __asm mulss xmm1, xmm0 <span class="comment">// xmm1 = f * rcpss(f)</span>
<a name="l00463"></a>00463 __asm mulss xmm1, xmm0 <span class="comment">// xmm2 = f * rcpss(f) * rcpss(f)</span>
<a name="l00464"></a>00464 __asm addss xmm0, xmm0 <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00465"></a>00465 __asm subss xmm0, xmm1 <span class="comment">// xmm0 = 2 * rcpss(f) </span>
<a name="l00466"></a>00466 <span class="comment">// - f * rcpss(f) * rcpss(f)</span>
<a name="l00467"></a>00467 __asm movss rec, xmm0 <span class="comment">// return xmm0</span>
<a name="l00468"></a>00468 <span class="keywordflow">return</span> rec;
<a name="l00469"></a>00469
<a name="l00470"></a>00470
<a name="l00472"></a>00472 <span class="comment">// instead set f to a high value to get a return value near zero..</span>
<a name="l00473"></a>00473 <span class="comment">// -1000000000000.f.. is use minus to stay negative..</span>
<a name="l00474"></a>00474 <span class="comment">// must test's here (plane.normal dot anything ) checks on <= 0.f</span>
<a name="l00475"></a>00475 <span class="comment">//u32 x = (-(AIR(f) != 0 ) >> 31 ) & ( IR(f) ^ 0xd368d4a5 ) ^ 0xd368d4a5;</span>
<a name="l00476"></a>00476 <span class="comment">//return 1.f / FR ( x );</span>
<a name="l00477"></a>00477
<a name="l00478"></a>00478 <span class="preprocessor">#else // no fast math</span>
<a name="l00479"></a>00479 <span class="preprocessor"></span> <span class="keywordflow">return</span> 1.f / f;
<a name="l00480"></a>00480 <span class="preprocessor">#endif</span>
<a name="l00481"></a>00481 <span class="preprocessor"></span> }
<a name="l00482"></a>00482
<a name="l00483"></a>00483 <span class="comment">// calculate: 1 / x</span>
<a name="l00484"></a><a class="code" href="namespaceirr_1_1core.html#c4402e2ec5b151212168736b8cfdd587">00484</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#a01390f49052dfe07e16ee6c5233f4eb">reciprocal</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> f )
<a name="l00485"></a>00485 {
<a name="l00486"></a>00486 <span class="keywordflow">return</span> 1.0 / f;
<a name="l00487"></a>00487 }
<a name="l00488"></a>00488
<a name="l00489"></a>00489
<a name="l00490"></a>00490 <span class="comment">// calculate: 1 / x, low precision allowed</span>
<a name="l00491"></a><a class="code" href="namespaceirr_1_1core.html#b5de17006aac4618e43d5f816ffc97c9">00491</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#b5de17006aac4618e43d5f816ffc97c9">reciprocal_approxim</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f )
<a name="l00492"></a>00492 {
<a name="l00493"></a>00493 <span class="preprocessor">#if defined( IRRLICHT_FAST_MATH)</span>
<a name="l00494"></a>00494 <span class="preprocessor"></span>
<a name="l00495"></a>00495 <span class="comment">// SSE Newton-Raphson reciprocal estimate, accurate to 23 significant</span>
<a name="l00496"></a>00496 <span class="comment">// bi ts of the mantissa</span>
<a name="l00497"></a>00497 <span class="comment">// One Newtown-Raphson Iteration:</span>
<a name="l00498"></a>00498 <span class="comment">// f(i+1) = 2 * rcpss(f) - f * rcpss(f) * rcpss(f)</span>
<a name="l00499"></a>00499 <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> rec;
<a name="l00500"></a>00500 __asm rcpss xmm0, f <span class="comment">// xmm0 = rcpss(f)</span>
<a name="l00501"></a>00501 __asm movss xmm1, f <span class="comment">// xmm1 = f</span>
<a name="l00502"></a>00502 __asm mulss xmm1, xmm0 <span class="comment">// xmm1 = f * rcpss(f)</span>
<a name="l00503"></a>00503 __asm mulss xmm1, xmm0 <span class="comment">// xmm2 = f * rcpss(f) * rcpss(f)</span>
<a name="l00504"></a>00504 __asm addss xmm0, xmm0 <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00505"></a>00505 __asm subss xmm0, xmm1 <span class="comment">// xmm0 = 2 * rcpss(f) </span>
<a name="l00506"></a>00506 <span class="comment">// - f * rcpss(f) * rcpss(f)</span>
<a name="l00507"></a>00507 __asm movss rec, xmm0 <span class="comment">// return xmm0</span>
<a name="l00508"></a>00508 <span class="keywordflow">return</span> rec;
<a name="l00509"></a>00509
<a name="l00510"></a>00510
<a name="l00511"></a>00511 <span class="comment">/*</span>
<a name="l00512"></a>00512 <span class="comment"> // SSE reciprocal estimate, accurate to 12 significant bits of</span>
<a name="l00513"></a>00513 <span class="comment"> f32 rec;</span>
<a name="l00514"></a>00514 <span class="comment"> __asm rcpss xmm0, f // xmm0 = rcpss(f)</span>
<a name="l00515"></a>00515 <span class="comment"> __asm movss rec , xmm0 // return xmm0</span>
<a name="l00516"></a>00516 <span class="comment"> return rec;</span>
<a name="l00517"></a>00517 <span class="comment">*/</span>
<a name="l00518"></a>00518 <span class="comment">/*</span>
<a name="l00519"></a>00519 <span class="comment"> register u32 x = 0x7F000000 - IR ( p );</span>
<a name="l00520"></a>00520 <span class="comment"> const f32 r = FR ( x );</span>
<a name="l00521"></a>00521 <span class="comment"> return r * (2.0f - p * r);</span>
<a name="l00522"></a>00522 <span class="comment">*/</span>
<a name="l00523"></a>00523 <span class="preprocessor">#else // no fast math</span>
<a name="l00524"></a>00524 <span class="preprocessor"></span> <span class="keywordflow">return</span> 1.f / f;
<a name="l00525"></a>00525 <span class="preprocessor">#endif</span>
<a name="l00526"></a>00526 <span class="preprocessor"></span> }
<a name="l00527"></a>00527
<a name="l00528"></a>00528
<a name="l00529"></a><a class="code" href="namespaceirr_1_1core.html#c230a392b15e3d27c6e2a07a6925a8c4">00529</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#c230a392b15e3d27c6e2a07a6925a8c4">floor32</a>(<a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x)
<a name="l00530"></a>00530 {
<a name="l00531"></a>00531 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00532"></a>00532 <span class="preprocessor"></span> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> h = 0.5f;
<a name="l00533"></a>00533
<a name="l00534"></a>00534 <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00535"></a>00535
<a name="l00536"></a>00536 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00537"></a>00537 <span class="preprocessor"></span> __asm
<a name="l00538"></a>00538 {
<a name="l00539"></a>00539 fld x
<a name="l00540"></a>00540 fsub h
<a name="l00541"></a>00541 fistp t
<a name="l00542"></a>00542 }
<a name="l00543"></a>00543 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00544"></a>00544 <span class="preprocessor"></span> __asm__ __volatile__ (
<a name="l00545"></a>00545 <span class="stringliteral">"fsub %2 \n\t"</span>
<a name="l00546"></a>00546 <span class="stringliteral">"fistpl %0"</span>
<a name="l00547"></a>00547 : <span class="stringliteral">"=m"</span> (t)
<a name="l00548"></a>00548 : <span class="stringliteral">"t"</span> (x), <span class="stringliteral">"f"</span> (h)
<a name="l00549"></a>00549 : <span class="stringliteral">"st"</span>
<a name="l00550"></a>00550 );
<a name="l00551"></a>00551 <span class="preprocessor">#else</span>
<a name="l00552"></a>00552 <span class="preprocessor"></span><span class="preprocessor"># warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00553"></a>00553 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) floorf ( x );
<a name="l00554"></a>00554 <span class="preprocessor">#endif</span>
<a name="l00555"></a>00555 <span class="preprocessor"></span> <span class="keywordflow">return</span> t;
<a name="l00556"></a>00556 <span class="preprocessor">#else // no fast math</span>
<a name="l00557"></a>00557 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) floorf ( x );
<a name="l00558"></a>00558 <span class="preprocessor">#endif</span>
<a name="l00559"></a>00559 <span class="preprocessor"></span> }
<a name="l00560"></a>00560
<a name="l00561"></a>00561
<a name="l00562"></a><a class="code" href="namespaceirr_1_1core.html#0fb8b4d0f177af411fdd4bd94b6779ce">00562</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#0fb8b4d0f177af411fdd4bd94b6779ce">ceil32</a> ( <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00563"></a>00563 {
<a name="l00564"></a>00564 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00565"></a>00565 <span class="preprocessor"></span> <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> h = 0.5f;
<a name="l00566"></a>00566
<a name="l00567"></a>00567 <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00568"></a>00568
<a name="l00569"></a>00569 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00570"></a>00570 <span class="preprocessor"></span> __asm
<a name="l00571"></a>00571 {
<a name="l00572"></a>00572 fld x
<a name="l00573"></a>00573 fadd h
<a name="l00574"></a>00574 fistp t
<a name="l00575"></a>00575 }
<a name="l00576"></a>00576 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00577"></a>00577 <span class="preprocessor"></span> __asm__ __volatile__ (
<a name="l00578"></a>00578 <span class="stringliteral">"fadd %2 \n\t"</span>
<a name="l00579"></a>00579 <span class="stringliteral">"fistpl %0 \n\t"</span>
<a name="l00580"></a>00580 : <span class="stringliteral">"=m"</span>(t)
<a name="l00581"></a>00581 : <span class="stringliteral">"t"</span>(x), <span class="stringliteral">"f"</span>(h)
<a name="l00582"></a>00582 : <span class="stringliteral">"st"</span>
<a name="l00583"></a>00583 );
<a name="l00584"></a>00584 <span class="preprocessor">#else</span>
<a name="l00585"></a>00585 <span class="preprocessor"></span><span class="preprocessor"># warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00586"></a>00586 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) ceilf ( x );
<a name="l00587"></a>00587 <span class="preprocessor">#endif</span>
<a name="l00588"></a>00588 <span class="preprocessor"></span> <span class="keywordflow">return</span> t;
<a name="l00589"></a>00589 <span class="preprocessor">#else // not fast math</span>
<a name="l00590"></a>00590 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) ceilf ( x );
<a name="l00591"></a>00591 <span class="preprocessor">#endif</span>
<a name="l00592"></a>00592 <span class="preprocessor"></span> }
<a name="l00593"></a>00593
<a name="l00594"></a>00594
<a name="l00595"></a>00595
<a name="l00596"></a><a class="code" href="namespaceirr_1_1core.html#e46f57f03e9033c57c180fbe83b04cf2">00596</a> <a class="code" href="irr_math_8h.html#3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#e46f57f03e9033c57c180fbe83b04cf2">round32</a>(<a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x)
<a name="l00597"></a>00597 {
<a name="l00598"></a>00598 <span class="preprocessor">#if defined(IRRLICHT_FAST_MATH)</span>
<a name="l00599"></a>00599 <span class="preprocessor"></span> <a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00600"></a>00600
<a name="l00601"></a>00601 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00602"></a>00602 <span class="preprocessor"></span> __asm
<a name="l00603"></a>00603 {
<a name="l00604"></a>00604 fld x
<a name="l00605"></a>00605 fistp t
<a name="l00606"></a>00606 }
<a name="l00607"></a>00607 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00608"></a>00608 <span class="preprocessor"></span> __asm__ __volatile__ (
<a name="l00609"></a>00609 <span class="stringliteral">"fistpl %0 \n\t"</span>
<a name="l00610"></a>00610 : <span class="stringliteral">"=m"</span>(t)
<a name="l00611"></a>00611 : <span class="stringliteral">"t"</span>(x)
<a name="l00612"></a>00612 : <span class="stringliteral">"st"</span>
<a name="l00613"></a>00613 );
<a name="l00614"></a>00614 <span class="preprocessor">#else</span>
<a name="l00615"></a>00615 <span class="preprocessor"></span><span class="preprocessor"># warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00616"></a>00616 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) <a class="code" href="namespaceirr_1_1core.html#894a901069c34298987761c5f3d74f1f">round_</a>(x);
<a name="l00617"></a>00617 <span class="preprocessor">#endif</span>
<a name="l00618"></a>00618 <span class="preprocessor"></span> <span class="keywordflow">return</span> t;
<a name="l00619"></a>00619 <span class="preprocessor">#else // no fast math</span>
<a name="l00620"></a>00620 <span class="preprocessor"></span> <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#c66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) <a class="code" href="namespaceirr_1_1core.html#894a901069c34298987761c5f3d74f1f">round_</a>(x);
<a name="l00621"></a>00621 <span class="preprocessor">#endif</span>
<a name="l00622"></a>00622 <span class="preprocessor"></span> }
<a name="l00623"></a>00623
<a name="l00624"></a><a class="code" href="namespaceirr_1_1core.html#944684da42c3118ebe85ec9c3f77c331">00624</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#944684da42c3118ebe85ec9c3f77c331">f32_max3</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> c)
<a name="l00625"></a>00625 {
<a name="l00626"></a>00626 <span class="keywordflow">return</span> a > b ? (a > c ? a : c) : (b > c ? b : c);
<a name="l00627"></a>00627 }
<a name="l00628"></a>00628
<a name="l00629"></a><a class="code" href="namespaceirr_1_1core.html#8d7bec533c867b22d0e870236ecf4bad">00629</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#8d7bec533c867b22d0e870236ecf4bad">f32_min3</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> c)
<a name="l00630"></a>00630 {
<a name="l00631"></a>00631 <span class="keywordflow">return</span> a < b ? (a < c ? a : c) : (b < c ? b : c);
<a name="l00632"></a>00632 }
<a name="l00633"></a>00633
<a name="l00634"></a><a class="code" href="namespaceirr_1_1core.html#df530866e57502da85e6a1f0c23932a2">00634</a> <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#df530866e57502da85e6a1f0c23932a2">fract</a> ( <a class="code" href="namespaceirr.html#0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00635"></a>00635 {
<a name="l00636"></a>00636 <span class="keywordflow">return</span> x - floorf ( x );
<a name="l00637"></a>00637 }
<a name="l00638"></a>00638
<a name="l00639"></a>00639 } <span class="comment">// end namespace core</span>
<a name="l00640"></a>00640 } <span class="comment">// end namespace irr</span>
<a name="l00641"></a>00641
<a name="l00642"></a>00642 <span class="preprocessor">#ifndef IRRLICHT_FAST_MATH</span>
<a name="l00643"></a>00643 <span class="preprocessor"></span> <span class="keyword">using</span> <a class="code" href="namespaceirr_1_1core.html#ff42ea2c4d80cb7b45b71d1f63c6a226">irr::core::IR</a>;
<a name="l00644"></a>00644 <span class="keyword">using</span> <a class="code" href="namespaceirr_1_1core.html#e0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">irr::core::FR</a>;
<a name="l00645"></a>00645 <span class="preprocessor">#endif</span>
<a name="l00646"></a>00646 <span class="preprocessor"></span>
<a name="l00647"></a>00647 <span class="preprocessor">#endif</span>
<a name="l00648"></a>00648 <span class="preprocessor"></span>
</pre></div></div>
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<td> <div align="left"><small><em><font size="2">The <a href="http://irrlicht.sourceforge.net" target="_blank">Irrlicht
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distrib
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Mandriva
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2010.1
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x86_64
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media
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contrib-release
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by-pkgid
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58828b263d8f56d90ac336dea07a4586
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files
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853
