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92<a href="#var-members">Variables</a> </div>
93 <div class="headertitle">
94<div class="title">irrMath.h File Reference</div> </div>
95</div>
96<div class="contents">
97<div class="textblock"><code>#include &quot;<a class="el" href="_irr_compile_config_8h_source.html">IrrCompileConfig.h</a>&quot;</code><br/>
98<code>#include &quot;<a class="el" href="irr_types_8h_source.html">irrTypes.h</a>&quot;</code><br/>
99<code>#include &lt;math.h&gt;</code><br/>
100<code>#include &lt;float.h&gt;</code><br/>
101<code>#include &lt;stdlib.h&gt;</code><br/>
102<code>#include &lt;limits.h&gt;</code><br/>
103</div>
104<p><a href="irr_math_8h_source.html">Go to the source code of this file.</a></p>
105<h2><a name="nested-classes"></a>
106Classes</h2>
107<ul>
108<li>union <a class="el" href="unionirr_1_1core_1_1_float_int_union32.html">irr::core::FloatIntUnion32</a>
109<li>union <a class="el" href="unionirr_1_1core_1_1inttofloat.html">irr::core::inttofloat</a>
110</ul>
111<h2><a name="namespaces"></a>
112Namespaces</h2>
113<ul>
114<li>namespace <a class="el" href="namespaceirr.html">irr</a>
115<dl class="el"><dd class="mdescRight"><p>Everything in the Irrlicht Engine can be found in this namespace. </p>
116<br/></dl><li>namespace <a class="el" href="namespaceirr_1_1core.html">irr::core</a>
117<dl class="el"><dd class="mdescRight"><p>Basic classes such as vectors, planes, arrays, lists, and so on can be found in this namespace. </p>
118<br/></dl></ul>
119<h2><a name="define-members"></a>
120Defines</h2>
121<ul>
122<li>#define <a class="el" href="irr_math_8h.html#aa854d8430e0acc31adb1ddb3647f6534">AIR</a>(x)&#160;&#160;&#160;(IR(x)&amp;0x7fffffff)
123<dl class="el"><dd class="mdescRight">Absolute integer representation of a floating-point value. <a href="#aa854d8430e0acc31adb1ddb3647f6534"></a><br/></dl><li>#define <a class="el" href="irr_math_8h.html#ab4092d1d22af18e03372117e347b633c">F32_A_GREATER_B</a>(a, b)&#160;&#160;&#160;((a) &gt; (b))
124<li>#define <a class="el" href="irr_math_8h.html#afc4f1a86cb2a79c560b29ee5edd0f94d">F32_AS_S32</a>(f)&#160;&#160;&#160;(*((s32 *) &amp;(f)))
125<li>#define <a class="el" href="irr_math_8h.html#afdeb4b30296d2b1dccec72427bdb39f2">F32_AS_U32</a>(f)&#160;&#160;&#160;(*((u32 *) &amp;(f)))
126<li>#define <a class="el" href="irr_math_8h.html#ab5498fea750901e87dfeca4e27425f16">F32_AS_U32_POINTER</a>(f)&#160;&#160;&#160;( ((u32 *) &amp;(f)))
127<li>#define <a class="el" href="irr_math_8h.html#a3c82a09fb606a67c19514b534d364d6c">F32_EQUAL_0</a>(n)&#160;&#160;&#160;((n) == 0.0f)
128<li>#define <a class="el" href="irr_math_8h.html#ae907baf637203996fb3187581c2def80">F32_EQUAL_1</a>(n)&#160;&#160;&#160;((n) == 1.0f)
129<li>#define <a class="el" href="irr_math_8h.html#a94abc82f2a2794c8331c9dad9a06958b">F32_EXPON_MANTISSA</a>&#160;&#160;&#160;0x7FFFFFFFU
130<li>#define <a class="el" href="irr_math_8h.html#a2fdc9e94ce29e1866ddf64e5903d43a1">F32_GREATER_0</a>(n)&#160;&#160;&#160;((n) &gt; 0.0f)
131<li>#define <a class="el" href="irr_math_8h.html#a407afe61680cc405bbe04922d36423af">F32_GREATER_EQUAL_0</a>(n)&#160;&#160;&#160;((n) &gt;= 0.0f)
132<li>#define <a class="el" href="irr_math_8h.html#aa86a7d03858f88ebbf9e36592583ced6">F32_LOWER_0</a>(n)&#160;&#160;&#160;((n) &lt; 0.0f)
133<li>#define <a class="el" href="irr_math_8h.html#a26bc42a9cc1fc775bc588052c32ff9a0">F32_LOWER_EQUAL_0</a>(n)&#160;&#160;&#160;((n) &lt;= 0.0f)
134<li>#define <a class="el" href="irr_math_8h.html#a58566d4b084b3c9740b3215cf7a607bb">F32_SIGN_BIT</a>&#160;&#160;&#160;0x80000000U
135<li>#define <a class="el" href="irr_math_8h.html#aff2ace8fbd4b2ee6833ae0ed8dd9469a">F32_VALUE_0</a>&#160;&#160;&#160;0x00000000
136<li>#define <a class="el" href="irr_math_8h.html#a93465b810662025b38f42244b100fc2e">F32_VALUE_1</a>&#160;&#160;&#160;0x3f800000
137<li>#define <a class="el" href="irr_math_8h.html#a7fbf1534f9e0f0bfdb86fb928902474c">FLT_MAX</a>&#160;&#160;&#160;3.402823466E+38F
138<li>#define <a class="el" href="irr_math_8h.html#a890322b63a2fab56b8ff916c08368df6">FLT_MIN</a>&#160;&#160;&#160;1.17549435e-38F
139<li>#define <a class="el" href="irr_math_8h.html#a3ec4980c07f6b510c61230356e014d24">IEEE_1_0</a>&#160;&#160;&#160;0x3f800000
140<dl class="el"><dd class="mdescRight">integer representation of 1.0 <a href="#a3ec4980c07f6b510c61230356e014d24"></a><br/></dl><li>#define <a class="el" href="irr_math_8h.html#a2b311316554140ac181c31d86f4f3786">IEEE_255_0</a>&#160;&#160;&#160;0x437f0000
141<dl class="el"><dd class="mdescRight">integer representation of 255.0 <a href="#a2b311316554140ac181c31d86f4f3786"></a><br/></dl><li>#define <a class="el" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a>&#160;&#160;&#160;inline
142</ul>
143<h2><a name="func-members"></a>
144Functions</h2>
145<ul>
146<li>template&lt;class T &gt; T <a class="el" href="namespaceirr_1_1core.html#a2cab2ba5899c9262ca29501ea7551c91">irr::core::abs_</a> (const T &amp;a)
147<dl class="el"><dd class="mdescRight">returns abs of two values. Own implementation to get rid of STL (VS6 problems) <a href="#a2cab2ba5899c9262ca29501ea7551c91"></a><br/></dl><li>REALINLINE s32 <a class="el" href="namespaceirr_1_1core.html#a0fb8b4d0f177af411fdd4bd94b6779ce">irr::core::ceil32</a> (f32 x)
148<li>template&lt;class T &gt; const T <a class="el" href="namespaceirr_1_1core.html#a6162f685b68f629e77336081d3316969">irr::core::clamp</a> (const T &amp;value, const T &amp;low, const T &amp;high)
149<dl class="el"><dd class="mdescRight">clamps a value between low and high <a href="#a6162f685b68f629e77336081d3316969"></a><br/></dl><li>REALINLINE void <a class="el" href="namespaceirr_1_1core.html#ab4c17ceae6e2b96383e842eabb9596ab">irr::core::clearFPUException</a> ()
150<li>f32 <a class="el" href="namespaceirr_1_1core.html#ad58b3d0e755a4f25ad19d5f5d4fb0280">irr::core::degToRad</a> (f32 degrees)
151<dl class="el"><dd class="mdescRight">Utility function to convert a degrees value to radians. <a href="#ad58b3d0e755a4f25ad19d5f5d4fb0280"></a><br/></dl><li>f64 <a class="el" href="namespaceirr_1_1core.html#a2def535b4f391ceb86ec0497cbb4bf80">irr::core::degToRad</a> (f64 degrees)
152<dl class="el"><dd class="mdescRight">Utility function to convert a degrees value to radians. <a href="#a2def535b4f391ceb86ec0497cbb4bf80"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3">irr::core::equals</a> (const f64 a, const f64 b, const f64 tolerance=ROUNDING_ERROR_f64)
153<dl class="el"><dd class="mdescRight">returns if a equals b, taking possible rounding errors into account <a href="#abf9b9b140cc365908ea4c8c47451e4e3"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#ae9c63fd2065e6afd30b4537166706ddf">irr::core::equals</a> (const f32 a, const f32 b, const f32 tolerance=ROUNDING_ERROR_f32)
154<dl class="el"><dd class="mdescRight">returns if a equals b, taking possible rounding errors into account <a href="#ae9c63fd2065e6afd30b4537166706ddf"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#afe4784d5bf091acce7777c40c4010ff8">irr::core::equals</a> (const s32 a, const s32 b, const s32 tolerance=ROUNDING_ERROR_S32)
155<dl class="el"><dd class="mdescRight">returns if a equals b, taking an explicit rounding tolerance into account <a href="#afe4784d5bf091acce7777c40c4010ff8"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#a9a54aa08fdc2119258ad8dfa44f8dadf">irr::core::equals</a> (const u32 a, const u32 b, const s32 tolerance=ROUNDING_ERROR_S32)
156<dl class="el"><dd class="mdescRight">returns if a equals b, taking an explicit rounding tolerance into account <a href="#a9a54aa08fdc2119258ad8dfa44f8dadf"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#a7928ce8e86ff93d918b0c144efab7b47">irr::core::equals</a> (const s64 a, const s64 b, const s64 tolerance=ROUNDING_ERROR_S64)
157<dl class="el"><dd class="mdescRight">returns if a equals b, taking an explicit rounding tolerance into account <a href="#a7928ce8e86ff93d918b0c144efab7b47"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#a730a85283e04b33debcf3b755e5b7603">irr::core::equalsByUlp</a> (f32 a, f32 b, int maxUlpDiff)
158<dl class="el"><dd class="mdescRight">We compare the difference in ULP's (spacing between floating-point numbers, aka ULP=1 means there exists no float between). <a href="#a730a85283e04b33debcf3b755e5b7603"></a><br/></dl><li>f32 <a class="el" href="namespaceirr_1_1core.html#a944684da42c3118ebe85ec9c3f77c331">irr::core::f32_max3</a> (const f32 a, const f32 b, const f32 c)
159<li>f32 <a class="el" href="namespaceirr_1_1core.html#a8d7bec533c867b22d0e870236ecf4bad">irr::core::f32_min3</a> (const f32 a, const f32 b, const f32 c)
160<li>REALINLINE s32 <a class="el" href="namespaceirr_1_1core.html#ac230a392b15e3d27c6e2a07a6925a8c4">irr::core::floor32</a> (f32 x)
161<li>f32 <a class="el" href="namespaceirr_1_1core.html#ae0940bd4032e5f10cf83b460f73571a3">irr::core::FR</a> (u32 x)
162<dl class="el"><dd class="mdescRight">Floating-point representation of an integer value. <a href="#ae0940bd4032e5f10cf83b460f73571a3"></a><br/></dl><li>f32 <a class="el" href="namespaceirr_1_1core.html#a10bf7ddf910b7feac9a36fd141a9f5ba">irr::core::FR</a> (s32 x)
163<li>f32 <a class="el" href="namespaceirr_1_1core.html#adf530866e57502da85e6a1f0c23932a2">irr::core::fract</a> (f32 x)
164<li>REALINLINE u32 <a class="el" href="namespaceirr_1_1core.html#af19c13d0084052f12357308c0cd83005">irr::core::if_c_a_else_0</a> (const s32 condition, const u32 a)
165<dl class="el"><dd class="mdescRight">conditional set based on mask and arithmetic shift <a href="#af19c13d0084052f12357308c0cd83005"></a><br/></dl><li>REALINLINE u32 <a class="el" href="namespaceirr_1_1core.html#ad6426246733e5dc16713f43352d85cdb">irr::core::if_c_a_else_b</a> (const s32 condition, const u32 a, const u32 b)
166<dl class="el"><dd class="mdescRight">conditional set based on mask and arithmetic shift <a href="#ad6426246733e5dc16713f43352d85cdb"></a><br/></dl><li>REALINLINE u16 <a class="el" href="namespaceirr_1_1core.html#af1ec8eb919fdb81c259920cce4004329">irr::core::if_c_a_else_b</a> (const s16 condition, const u16 a, const u16 b)
167<dl class="el"><dd class="mdescRight">conditional set based on mask and arithmetic shift <a href="#af1ec8eb919fdb81c259920cce4004329"></a><br/></dl><li>u32 <a class="el" href="namespaceirr_1_1core.html#aff42ea2c4d80cb7b45b71d1f63c6a226">irr::core::IR</a> (f32 x)
168<li>bool <a class="el" href="namespaceirr_1_1core.html#a6e179d6dd92b81607f0539329dc2410a">irr::core::isnotzero</a> (const f32 a, const f32 tolerance=ROUNDING_ERROR_f32)
169<dl class="el"><dd class="mdescRight">returns if a equals not zero, taking rounding errors into account <a href="#a6e179d6dd92b81607f0539329dc2410a"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2">irr::core::iszero</a> (const f64 a, const f64 tolerance=ROUNDING_ERROR_f64)
170<dl class="el"><dd class="mdescRight">returns if a equals zero, taking rounding errors into account <a href="#afc24e6ba26469ec7ca7001ed272dc3b2"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#aaf94a81169679083a48f9f9e6dced684">irr::core::iszero</a> (const f32 a, const f32 tolerance=ROUNDING_ERROR_f32)
171<dl class="el"><dd class="mdescRight">returns if a equals zero, taking rounding errors into account <a href="#aaf94a81169679083a48f9f9e6dced684"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#a3842b13dc7bd40f068cc8f7fd91bcfa5">irr::core::iszero</a> (const s32 a, const s32 tolerance=0)
172<dl class="el"><dd class="mdescRight">returns if a equals zero, taking rounding errors into account <a href="#a3842b13dc7bd40f068cc8f7fd91bcfa5"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#afa64d4495f986ec0fa840e61cba45c68">irr::core::iszero</a> (const u32 a, const u32 tolerance=0)
173<dl class="el"><dd class="mdescRight">returns if a equals zero, taking rounding errors into account <a href="#afa64d4495f986ec0fa840e61cba45c68"></a><br/></dl><li>bool <a class="el" href="namespaceirr_1_1core.html#a418bebacbef432fcf909e8f3d9b8368d">irr::core::iszero</a> (const s64 a, const s64 tolerance=0)
174<dl class="el"><dd class="mdescRight">returns if a equals zero, taking rounding errors into account <a href="#a418bebacbef432fcf909e8f3d9b8368d"></a><br/></dl><li>template&lt;class T &gt; T <a class="el" href="namespaceirr_1_1core.html#ae2e6a5729b911d26565b508e8b8dae91">irr::core::lerp</a> (const T &amp;a, const T &amp;b, const f32 t)
175<li>template&lt;class T &gt; const T &amp; <a class="el" href="namespaceirr_1_1core.html#afca1ce7ac54e0c31a9047947f4c7319b">irr::core::max_</a> (const T &amp;a, const T &amp;b)
176<dl class="el"><dd class="mdescRight">returns maximum of two values. Own implementation to get rid of the STL (VS6 problems) <a href="#afca1ce7ac54e0c31a9047947f4c7319b"></a><br/></dl><li>template&lt;class T &gt; const T &amp; <a class="el" href="namespaceirr_1_1core.html#ae279a231923e0c251ebfd171f03e689c">irr::core::max_</a> (const T &amp;a, const T &amp;b, const T &amp;c)
177<dl class="el"><dd class="mdescRight">returns maximum of three values. Own implementation to get rid of the STL (VS6 problems) <a href="#ae279a231923e0c251ebfd171f03e689c"></a><br/></dl><li>template&lt;class T &gt; const T &amp; <a class="el" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11">irr::core::min_</a> (const T &amp;a, const T &amp;b)
178<dl class="el"><dd class="mdescRight">returns minimum of two values. Own implementation to get rid of the STL (VS6 problems) <a href="#a9d34bfdbbe9c136b01ae04974572bc11"></a><br/></dl><li>template&lt;class T &gt; const T &amp; <a class="el" href="namespaceirr_1_1core.html#a620f62b5ab8b484c16c0236ca7d65d33">irr::core::min_</a> (const T &amp;a, const T &amp;b, const T &amp;c)
179<dl class="el"><dd class="mdescRight">returns minimum of three values. Own implementation to get rid of the STL (VS6 problems) <a href="#a620f62b5ab8b484c16c0236ca7d65d33"></a><br/></dl><li>f32 <a class="el" href="namespaceirr_1_1core.html#a8deb22ad77fb8ead3f6683bbf9ad3f67">irr::core::radToDeg</a> (f32 radians)
180<dl class="el"><dd class="mdescRight">Utility function to convert a radian value to degrees. <a href="#a8deb22ad77fb8ead3f6683bbf9ad3f67"></a><br/></dl><li>f64 <a class="el" href="namespaceirr_1_1core.html#aab39939b1518daee0967c368a3bf924a">irr::core::radToDeg</a> (f64 radians)
181<dl class="el"><dd class="mdescRight">Utility function to convert a radian value to degrees. <a href="#aab39939b1518daee0967c368a3bf924a"></a><br/></dl><li>REALINLINE f32 <a class="el" href="namespaceirr_1_1core.html#aa01390f49052dfe07e16ee6c5233f4eb">irr::core::reciprocal</a> (const f32 f)
182<li>REALINLINE f64 <a class="el" href="namespaceirr_1_1core.html#ac4402e2ec5b151212168736b8cfdd587">irr::core::reciprocal</a> (const f64 f)
183<li>REALINLINE f32 <a class="el" href="namespaceirr_1_1core.html#ab5de17006aac4618e43d5f816ffc97c9">irr::core::reciprocal_approxim</a> (const f32 f)
184<li>REALINLINE f64 <a class="el" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">irr::core::reciprocal_squareroot</a> (const f64 x)
185<li>REALINLINE f32 <a class="el" href="namespaceirr_1_1core.html#a42eb747bb19d6ca2cb9d8977eb402c72">irr::core::reciprocal_squareroot</a> (const f32 f)
186<li>REALINLINE s32 <a class="el" href="namespaceirr_1_1core.html#a21c37238a7754b48ff18c486202a1e4b">irr::core::reciprocal_squareroot</a> (const s32 x)
187<li>REALINLINE s32 <a class="el" href="namespaceirr_1_1core.html#ae46f57f03e9033c57c180fbe83b04cf2">irr::core::round32</a> (f32 x)
188<li>f32 <a class="el" href="namespaceirr_1_1core.html#a894a901069c34298987761c5f3d74f1f">irr::core::round_</a> (f32 x)
189<li>s32 <a class="el" href="namespaceirr_1_1core.html#aa7828c932a36c62a67fd0f2b972d8b21">irr::core::s32_clamp</a> (s32 value, s32 low, s32 high)
190<li>s32 <a class="el" href="namespaceirr_1_1core.html#a3adbc0ee7f78051eb2a35511fe90bd2d">irr::core::s32_max</a> (s32 a, s32 b)
191<li>s32 <a class="el" href="namespaceirr_1_1core.html#aa0d9ebcfeca532643e76cf58b98daca1">irr::core::s32_min</a> (s32 a, s32 b)
192<li>REALINLINE void <a class="el" href="namespaceirr_1_1core.html#a628051738e8873b91b064e6014024f41">irr::core::setbit_cond</a> (u32 &amp;state, s32 condition, u32 mask)
193<li>REALINLINE f32 <a class="el" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">irr::core::squareroot</a> (const f32 f)
194<li>REALINLINE f64 <a class="el" href="namespaceirr_1_1core.html#ad4378f076bf251c05e543ce888da8f48">irr::core::squareroot</a> (const f64 f)
195<li>REALINLINE s32 <a class="el" href="namespaceirr_1_1core.html#a6943186698de9d2ff47ce03fbe025230">irr::core::squareroot</a> (const s32 f)
196<li>REALINLINE s64 <a class="el" href="namespaceirr_1_1core.html#a9a79fc4c36183e75d70c740b2b9f1865">irr::core::squareroot</a> (const s64 f)
197<li>template&lt;class T1 , class T2 &gt; void <a class="el" href="namespaceirr_1_1core.html#ab565e5d5112b21ff9b96a0ca0c9b89ad">irr::core::swap</a> (T1 &amp;a, T2 &amp;b)
198<dl class="el"><dd class="mdescRight">swaps the content of the passed parameters <a href="#ab565e5d5112b21ff9b96a0ca0c9b89ad"></a><br/></dl></ul>
199<h2><a name="var-members"></a>
200Variables</h2>
201<ul>
202<li>const f32 <a class="el" href="namespaceirr_1_1core.html#a4b91e69e51a2e374aec940cba3869028">irr::core::DEGTORAD</a> = PI / 180.0f
203<dl class="el"><dd class="mdescRight">32bit Constant for converting from degrees to radians <a href="#a4b91e69e51a2e374aec940cba3869028"></a><br/></dl><li>const f64 <a class="el" href="namespaceirr_1_1core.html#a8e21b5969c8292857f7c9c5dcfd61c35">irr::core::DEGTORAD64</a> = PI64 / 180.0
204<dl class="el"><dd class="mdescRight">64bit constant for converting from degrees to radians (formally known as GRAD_PI2) <a href="#a8e21b5969c8292857f7c9c5dcfd61c35"></a><br/></dl><li>const f32 <a class="el" href="namespaceirr_1_1core.html#abeab884c4376c5740f6d916356e9baa3">irr::core::HALF_PI</a> = PI/2.0f
205<dl class="el"><dd class="mdescRight">Constant for half of PI. <a href="#abeab884c4376c5740f6d916356e9baa3"></a><br/></dl><li>const f32 <a class="el" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e">irr::core::PI</a> = 3.14159265359f
206<dl class="el"><dd class="mdescRight">Constant for PI. <a href="#a26d877e2caf3e6f31c298a0417a0707e"></a><br/></dl><li>const f64 <a class="el" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8">irr::core::PI64</a> = 3.1415926535897932384626433832795028841971693993751
207<dl class="el"><dd class="mdescRight">Constant for 64bit PI. <a href="#a166af519140dc00cbd88684e835086f8"></a><br/></dl><li>const f32 <a class="el" href="namespaceirr_1_1core.html#ae3a530e0ef661960b7af89f07d817bd5">irr::core::RADTODEG</a> = 180.0f / PI
208<dl class="el"><dd class="mdescRight">32bit constant for converting from radians to degrees (formally known as GRAD_PI) <a href="#ae3a530e0ef661960b7af89f07d817bd5"></a><br/></dl><li>const f64 <a class="el" href="namespaceirr_1_1core.html#ae7afeb48af12f5f5130cd179a644ec58">irr::core::RADTODEG64</a> = 180.0 / PI64
209<dl class="el"><dd class="mdescRight">64bit constant for converting from radians to degrees <a href="#ae7afeb48af12f5f5130cd179a644ec58"></a><br/></dl><li>const f32 <a class="el" href="namespaceirr_1_1core.html#ac97bfaa5b44703e61c23c91b88f3ec3a">irr::core::RECIPROCAL_PI</a> = 1.0f/PI
210<dl class="el"><dd class="mdescRight">Constant for reciprocal of PI. <a href="#ac97bfaa5b44703e61c23c91b88f3ec3a"></a><br/></dl><li>const f64 <a class="el" href="namespaceirr_1_1core.html#ad3a2ddd6d772edb4d663d73fae5434e3">irr::core::RECIPROCAL_PI64</a> = 1.0/PI64
211<dl class="el"><dd class="mdescRight">Constant for 64bit reciprocal of PI. <a href="#ad3a2ddd6d772edb4d663d73fae5434e3"></a><br/></dl><li>const f32 <a class="el" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">irr::core::ROUNDING_ERROR_f32</a> = 0.000001f
212<li>const f64 <a class="el" href="namespaceirr_1_1core.html#a7b314c22d6804639cbcbce5231724f0b">irr::core::ROUNDING_ERROR_f64</a> = 0.00000001
213<li>const s32 <a class="el" href="namespaceirr_1_1core.html#aac9f99b6a999bdf25fec402c59e8342a">irr::core::ROUNDING_ERROR_S32</a> = 0
214<dl class="el"><dd class="mdescRight">Rounding error constant often used when comparing f32 values. <a href="#aac9f99b6a999bdf25fec402c59e8342a"></a><br/></dl><li>const s64 <a class="el" href="namespaceirr_1_1core.html#acc1ea39594c72f97ff196e97c14ed6f3">irr::core::ROUNDING_ERROR_S64</a> = 0
215</ul>
216<hr/><h2>Define Documentation</h2>
217<a class="anchor" id="aa854d8430e0acc31adb1ddb3647f6534"></a><!-- doxytag: member="irrMath.h::AIR" ref="aa854d8430e0acc31adb1ddb3647f6534" args="(x)" -->
218<div class="memitem">
219<div class="memproto">
220 <table class="memname">
221 <tr>
222 <td class="memname">#define AIR</td>
223 <td>(</td>
224 <td class="paramtype">&#160;</td>
225 <td class="paramname">x</td><td>)</td>
226 <td>&#160;&#160;&#160;(IR(x)&amp;0x7fffffff)</td>
227 </tr>
228 </table>
229</div>
230<div class="memdoc">
231
232<p>Absolute integer representation of a floating-point value. </p>
233
234<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00357">357</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
235
236</div>
237</div>
238<a class="anchor" id="ab4092d1d22af18e03372117e347b633c"></a><!-- doxytag: member="irrMath.h::F32_A_GREATER_B" ref="ab4092d1d22af18e03372117e347b633c" args="(a, b)" -->
239<div class="memitem">
240<div class="memproto">
241 <table class="memname">
242 <tr>
243 <td class="memname">#define F32_A_GREATER_B</td>
244 <td>(</td>
245 <td class="paramtype">&#160;</td>
246 <td class="paramname">a, </td>
247 </tr>
248 <tr>
249 <td class="paramkey"></td>
250 <td></td>
251 <td class="paramtype">&#160;</td>
252 <td class="paramname">b&#160;</td>
253 </tr>
254 <tr>
255 <td></td>
256 <td>)</td>
257 <td></td><td>&#160;&#160;&#160;((a) &gt; (b))</td>
258 </tr>
259 </table>
260</div>
261<div class="memdoc">
262
263<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00391">391</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
264
265</div>
266</div>
267<a class="anchor" id="afc4f1a86cb2a79c560b29ee5edd0f94d"></a><!-- doxytag: member="irrMath.h::F32_AS_S32" ref="afc4f1a86cb2a79c560b29ee5edd0f94d" args="(f)" -->
268<div class="memitem">
269<div class="memproto">
270 <table class="memname">
271 <tr>
272 <td class="memname">#define F32_AS_S32</td>
273 <td>(</td>
274 <td class="paramtype">&#160;</td>
275 <td class="paramname">f</td><td>)</td>
276 <td>&#160;&#160;&#160;(*((s32 *) &amp;(f)))</td>
277 </tr>
278 </table>
279</div>
280<div class="memdoc">
281
282<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00339">339</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
283
284</div>
285</div>
286<a class="anchor" id="afdeb4b30296d2b1dccec72427bdb39f2"></a><!-- doxytag: member="irrMath.h::F32_AS_U32" ref="afdeb4b30296d2b1dccec72427bdb39f2" args="(f)" -->
287<div class="memitem">
288<div class="memproto">
289 <table class="memname">
290 <tr>
291 <td class="memname">#define F32_AS_U32</td>
292 <td>(</td>
293 <td class="paramtype">&#160;</td>
294 <td class="paramname">f</td><td>)</td>
295 <td>&#160;&#160;&#160;(*((u32 *) &amp;(f)))</td>
296 </tr>
297 </table>
298</div>
299<div class="memdoc">
300
301<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00340">340</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
302
303</div>
304</div>
305<a class="anchor" id="ab5498fea750901e87dfeca4e27425f16"></a><!-- doxytag: member="irrMath.h::F32_AS_U32_POINTER" ref="ab5498fea750901e87dfeca4e27425f16" args="(f)" -->
306<div class="memitem">
307<div class="memproto">
308 <table class="memname">
309 <tr>
310 <td class="memname">#define F32_AS_U32_POINTER</td>
311 <td>(</td>
312 <td class="paramtype">&#160;</td>
313 <td class="paramname">f</td><td>)</td>
314 <td>&#160;&#160;&#160;( ((u32 *) &amp;(f)))</td>
315 </tr>
316 </table>
317</div>
318<div class="memdoc">
319
320<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00341">341</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
321
322</div>
323</div>
324<a class="anchor" id="a3c82a09fb606a67c19514b534d364d6c"></a><!-- doxytag: member="irrMath.h::F32_EQUAL_0" ref="a3c82a09fb606a67c19514b534d364d6c" args="(n)" -->
325<div class="memitem">
326<div class="memproto">
327 <table class="memname">
328 <tr>
329 <td class="memname">#define F32_EQUAL_0</td>
330 <td>(</td>
331 <td class="paramtype">&#160;</td>
332 <td class="paramname">n</td><td>)</td>
333 <td>&#160;&#160;&#160;((n) == 0.0f)</td>
334 </tr>
335 </table>
336</div>
337<div class="memdoc">
338
339<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00390">390</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
340
341</div>
342</div>
343<a class="anchor" id="ae907baf637203996fb3187581c2def80"></a><!-- doxytag: member="irrMath.h::F32_EQUAL_1" ref="ae907baf637203996fb3187581c2def80" args="(n)" -->
344<div class="memitem">
345<div class="memproto">
346 <table class="memname">
347 <tr>
348 <td class="memname">#define F32_EQUAL_1</td>
349 <td>(</td>
350 <td class="paramtype">&#160;</td>
351 <td class="paramname">n</td><td>)</td>
352 <td>&#160;&#160;&#160;((n) == 1.0f)</td>
353 </tr>
354 </table>
355</div>
356<div class="memdoc">
357
358<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00389">389</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
359
360</div>
361</div>
362<a class="anchor" id="a94abc82f2a2794c8331c9dad9a06958b"></a><!-- doxytag: member="irrMath.h::F32_EXPON_MANTISSA" ref="a94abc82f2a2794c8331c9dad9a06958b" args="" -->
363<div class="memitem">
364<div class="memproto">
365 <table class="memname">
366 <tr>
367 <td class="memname">#define F32_EXPON_MANTISSA&#160;&#160;&#160;0x7FFFFFFFU</td>
368 </tr>
369 </table>
370</div>
371<div class="memdoc">
372
373<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00346">346</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
374
375</div>
376</div>
377<a class="anchor" id="a2fdc9e94ce29e1866ddf64e5903d43a1"></a><!-- doxytag: member="irrMath.h::F32_GREATER_0" ref="a2fdc9e94ce29e1866ddf64e5903d43a1" args="(n)" -->
378<div class="memitem">
379<div class="memproto">
380 <table class="memname">
381 <tr>
382 <td class="memname">#define F32_GREATER_0</td>
383 <td>(</td>
384 <td class="paramtype">&#160;</td>
385 <td class="paramname">n</td><td>)</td>
386 <td>&#160;&#160;&#160;((n) &gt; 0.0f)</td>
387 </tr>
388 </table>
389</div>
390<div class="memdoc">
391
392<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00387">387</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
393
394</div>
395</div>
396<a class="anchor" id="a407afe61680cc405bbe04922d36423af"></a><!-- doxytag: member="irrMath.h::F32_GREATER_EQUAL_0" ref="a407afe61680cc405bbe04922d36423af" args="(n)" -->
397<div class="memitem">
398<div class="memproto">
399 <table class="memname">
400 <tr>
401 <td class="memname">#define F32_GREATER_EQUAL_0</td>
402 <td>(</td>
403 <td class="paramtype">&#160;</td>
404 <td class="paramname">n</td><td>)</td>
405 <td>&#160;&#160;&#160;((n) &gt;= 0.0f)</td>
406 </tr>
407 </table>
408</div>
409<div class="memdoc">
410
411<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00388">388</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
412
413</div>
414</div>
415<a class="anchor" id="aa86a7d03858f88ebbf9e36592583ced6"></a><!-- doxytag: member="irrMath.h::F32_LOWER_0" ref="aa86a7d03858f88ebbf9e36592583ced6" args="(n)" -->
416<div class="memitem">
417<div class="memproto">
418 <table class="memname">
419 <tr>
420 <td class="memname">#define F32_LOWER_0</td>
421 <td>(</td>
422 <td class="paramtype">&#160;</td>
423 <td class="paramname">n</td><td>)</td>
424 <td>&#160;&#160;&#160;((n) &lt; 0.0f)</td>
425 </tr>
426 </table>
427</div>
428<div class="memdoc">
429
430<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00385">385</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
431
432</div>
433</div>
434<a class="anchor" id="a26bc42a9cc1fc775bc588052c32ff9a0"></a><!-- doxytag: member="irrMath.h::F32_LOWER_EQUAL_0" ref="a26bc42a9cc1fc775bc588052c32ff9a0" args="(n)" -->
435<div class="memitem">
436<div class="memproto">
437 <table class="memname">
438 <tr>
439 <td class="memname">#define F32_LOWER_EQUAL_0</td>
440 <td>(</td>
441 <td class="paramtype">&#160;</td>
442 <td class="paramname">n</td><td>)</td>
443 <td>&#160;&#160;&#160;((n) &lt;= 0.0f)</td>
444 </tr>
445 </table>
446</div>
447<div class="memdoc">
448
449<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00386">386</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
450
451<p>Referenced by <a class="el" href="triangle3d_8h_source.html#l00210">irr::core::triangle3d&lt; T &gt;::isFrontFacing()</a>, and <a class="el" href="plane3d_8h_source.html#l00214">irr::core::plane3d&lt; f32 &gt;::isFrontFacing()</a>.</p>
452
453</div>
454</div>
455<a class="anchor" id="a58566d4b084b3c9740b3215cf7a607bb"></a><!-- doxytag: member="irrMath.h::F32_SIGN_BIT" ref="a58566d4b084b3c9740b3215cf7a607bb" args="" -->
456<div class="memitem">
457<div class="memproto">
458 <table class="memname">
459 <tr>
460 <td class="memname">#define F32_SIGN_BIT&#160;&#160;&#160;0x80000000U</td>
461 </tr>
462 </table>
463</div>
464<div class="memdoc">
465
466<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00345">345</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
467
468</div>
469</div>
470<a class="anchor" id="aff2ace8fbd4b2ee6833ae0ed8dd9469a"></a><!-- doxytag: member="irrMath.h::F32_VALUE_0" ref="aff2ace8fbd4b2ee6833ae0ed8dd9469a" args="" -->
471<div class="memitem">
472<div class="memproto">
473 <table class="memname">
474 <tr>
475 <td class="memname">#define F32_VALUE_0&#160;&#160;&#160;0x00000000</td>
476 </tr>
477 </table>
478</div>
479<div class="memdoc">
480
481<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00343">343</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
482
483</div>
484</div>
485<a class="anchor" id="a93465b810662025b38f42244b100fc2e"></a><!-- doxytag: member="irrMath.h::F32_VALUE_1" ref="a93465b810662025b38f42244b100fc2e" args="" -->
486<div class="memitem">
487<div class="memproto">
488 <table class="memname">
489 <tr>
490 <td class="memname">#define F32_VALUE_1&#160;&#160;&#160;0x3f800000</td>
491 </tr>
492 </table>
493</div>
494<div class="memdoc">
495
496<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00344">344</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
497
498<p>Referenced by <a class="el" href="matrix4_8h_source.html#l01067">irr::core::CMatrix4&lt; T &gt;::isIdentity_integer_base()</a>.</p>
499
500</div>
501</div>
502<a class="anchor" id="a7fbf1534f9e0f0bfdb86fb928902474c"></a><!-- doxytag: member="irrMath.h::FLT_MAX" ref="a7fbf1534f9e0f0bfdb86fb928902474c" args="" -->
503<div class="memitem">
504<div class="memproto">
505 <table class="memname">
506 <tr>
507 <td class="memname">#define FLT_MAX&#160;&#160;&#160;3.402823466E+38F</td>
508 </tr>
509 </table>
510</div>
511<div class="memdoc">
512
513<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00031">31</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
514
515<p>Referenced by <a class="el" href="fast__atof_8h_source.html#l00258">irr::core::strtof10()</a>.</p>
516
517</div>
518</div>
519<a class="anchor" id="a890322b63a2fab56b8ff916c08368df6"></a><!-- doxytag: member="irrMath.h::FLT_MIN" ref="a890322b63a2fab56b8ff916c08368df6" args="" -->
520<div class="memitem">
521<div class="memproto">
522 <table class="memname">
523 <tr>
524 <td class="memname">#define FLT_MIN&#160;&#160;&#160;1.17549435e-38F</td>
525 </tr>
526 </table>
527</div>
528<div class="memdoc">
529
530<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00035">35</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
531
532<p>Referenced by <a class="el" href="matrix4_8h_source.html#l01307">irr::core::CMatrix4&lt; T &gt;::getInverse()</a>.</p>
533
534</div>
535</div>
536<a class="anchor" id="a3ec4980c07f6b510c61230356e014d24"></a><!-- doxytag: member="irrMath.h::IEEE_1_0" ref="a3ec4980c07f6b510c61230356e014d24" args="" -->
537<div class="memitem">
538<div class="memproto">
539 <table class="memname">
540 <tr>
541 <td class="memname">#define IEEE_1_0&#160;&#160;&#160;0x3f800000</td>
542 </tr>
543 </table>
544</div>
545<div class="memdoc">
546
547<p>integer representation of 1.0 </p>
548
549<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00368">368</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
550
551</div>
552</div>
553<a class="anchor" id="a2b311316554140ac181c31d86f4f3786"></a><!-- doxytag: member="irrMath.h::IEEE_255_0" ref="a2b311316554140ac181c31d86f4f3786" args="" -->
554<div class="memitem">
555<div class="memproto">
556 <table class="memname">
557 <tr>
558 <td class="memname">#define IEEE_255_0&#160;&#160;&#160;0x437f0000</td>
559 </tr>
560 </table>
561</div>
562<div class="memdoc">
563
564<p>integer representation of 255.0 </p>
565
566<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00370">370</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
567
568</div>
569</div>
570<a class="anchor" id="a3695e51e0a187a6c49684ba3206b0d0a"></a><!-- doxytag: member="irrMath.h::REALINLINE" ref="a3695e51e0a187a6c49684ba3206b0d0a" args="" -->
571<div class="memitem">
572<div class="memproto">
573 <table class="memname">
574 <tr>
575 <td class="memname">#define REALINLINE&#160;&#160;&#160;inline</td>
576 </tr>
577 </table>
578</div>
579<div class="memdoc">
580
581<p>Definition at line <a class="el" href="irr_math_8h_source.html#l00399">399</a> of file <a class="el" href="irr_math_8h_source.html">irrMath.h</a>.</p>
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