aboutsummaryrefslogtreecommitdiffstatshomepage
path: root/libraries/irrlicht-1.8/doc/html/irr_math_8h_source.html
blob: 559c3e8f1269b55f53ef02bb3b79c7cde2e58354 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<title>Irrlicht 3D Engine: irrMath.h Source File</title>

<link href="tabs.css" rel="stylesheet" type="text/css"/>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<script type="text/javascript">
  $(document).ready(initResizable);
</script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
  $(document).ready(function() { searchBox.OnSelectItem(0); });
</script>

</head>
<body>
<div id="top"><!-- do not remove this div! -->


<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  
  <td id="projectlogo"><img alt="Logo" src="irrlichtlogo.png"/></td>
  
  
  <td style="padding-left: 0.5em;">
   <div id="projectname">Irrlicht 3D Engine
   
   </div>
   
  </td>
  
  
  
   
   <td>        <div id="MSearchBox" class="MSearchBoxInactive">
        <span class="left">
          <img id="MSearchSelect" src="search/mag_sel.png"
               onmouseover="return searchBox.OnSearchSelectShow()"
               onmouseout="return searchBox.OnSearchSelectHide()"
               alt=""/>
          <input type="text" id="MSearchField" value="Search" accesskey="S"
               onfocus="searchBox.OnSearchFieldFocus(true)" 
               onblur="searchBox.OnSearchFieldFocus(false)" 
               onkeyup="searchBox.OnSearchFieldChange(event)"/>
          </span><span class="right">
            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
          </span>
        </div>
</td>
   
  
 </tr>
 </tbody>
</table>
</div>

<!-- Generated by Doxygen 1.7.5.1 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
<script type="text/javascript" src="dynsections.js"></script>
</div>
<div id="side-nav" class="ui-resizable side-nav-resizable">
  <div id="nav-tree">
    <div id="nav-tree-contents">
    </div>
  </div>
  <div id="splitbar" style="-moz-user-select:none;" 
       class="ui-resizable-handle">
  </div>
</div>
<script type="text/javascript">
  initNavTree('irr_math_8h.html','');
</script>
<div id="doc-content">
<div class="header">
  <div class="headertitle">
<div class="title">irrMath.h</div>  </div>
</div>
<div class="contents">
<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) 2002-2012 Nikolaus Gebhardt</span>
<a name="l00002"></a>00002 <span class="comment">// This file is part of the &quot;Irrlicht Engine&quot;.</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 &quot;<a class="code" href="_irr_compile_config_8h.html">IrrCompileConfig.h</a>&quot;</span>
<a name="l00009"></a>00009 <span class="preprocessor">#include &quot;<a class="code" href="irr_types_8h.html">irrTypes.h</a>&quot;</span>
<a name="l00010"></a>00010 <span class="preprocessor">#include &lt;math.h&gt;</span>
<a name="l00011"></a>00011 <span class="preprocessor">#include &lt;float.h&gt;</span>
<a name="l00012"></a>00012 <span class="preprocessor">#include &lt;stdlib.h&gt;</span> <span class="comment">// for abs() etc.</span>
<a name="l00013"></a>00013 <span class="preprocessor">#include &lt;limits.h&gt;</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) (irr::f32)sqrt((irr::f64)(X))</span>
<a name="l00017"></a>00017 <span class="preprocessor"></span><span class="preprocessor">    #define sinf(X) (irr::f32)sin((irr::f64)(X))</span>
<a name="l00018"></a>00018 <span class="preprocessor"></span><span class="preprocessor">    #define cosf(X) (irr::f32)cos((irr::f64)(X))</span>
<a name="l00019"></a>00019 <span class="preprocessor"></span><span class="preprocessor">    #define asinf(X) (irr::f32)asin((irr::f64)(X))</span>
<a name="l00020"></a>00020 <span class="preprocessor"></span><span class="preprocessor">    #define acosf(X) (irr::f32)acos((irr::f64)(X))</span>
<a name="l00021"></a>00021 <span class="preprocessor"></span><span class="preprocessor">    #define atan2f(X,Y) (irr::f32)atan2((irr::f64)(X),(irr::f64)(Y))</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor">    #define ceilf(X) (irr::f32)ceil((irr::f64)(X))</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">    #define floorf(X) (irr::f32)floor((irr::f64)(X))</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span><span class="preprocessor">    #define powf(X,Y) (irr::f32)pow((irr::f64)(X),(irr::f64)(Y))</span>
<a name="l00025"></a>00025 <span class="preprocessor"></span><span class="preprocessor">    #define fmodf(X,Y) (irr::f32)fmod((irr::f64)(X),(irr::f64)(Y))</span>
<a name="l00026"></a>00026 <span class="preprocessor"></span><span class="preprocessor">    #define fabsf(X) (irr::f32)fabs((irr::f64)(X))</span>
<a name="l00027"></a>00027 <span class="preprocessor"></span><span class="preprocessor">    #define logf(X) (irr::f32)log((irr::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#a7fbf1534f9e0f0bfdb86fb928902474c">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="preprocessor">#ifndef FLT_MIN</span>
<a name="l00035"></a><a class="code" href="irr_math_8h.html#a890322b63a2fab56b8ff916c08368df6">00035</a> <span class="preprocessor"></span><span class="preprocessor">#define FLT_MIN 1.17549435e-38F</span>
<a name="l00036"></a>00036 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00037"></a>00037 <span class="preprocessor"></span>
<a name="l00038"></a>00038 <span class="keyword">namespace </span>irr
<a name="l00039"></a>00039 {
<a name="l00040"></a>00040 <span class="keyword">namespace </span>core
<a name="l00041"></a>00041 {
<a name="l00042"></a>00042 
<a name="l00044"></a>00044 
<a name="l00045"></a><a class="code" href="namespaceirr_1_1core.html#aac9f99b6a999bdf25fec402c59e8342a">00045</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#aac9f99b6a999bdf25fec402c59e8342a" title="Rounding error constant often used when comparing f32 values.">ROUNDING_ERROR_S32</a> = 0;
<a name="l00046"></a>00046 <span class="preprocessor">#ifdef __IRR_HAS_S64</span>
<a name="l00047"></a><a class="code" href="namespaceirr_1_1core.html#acc1ea39594c72f97ff196e97c14ed6f3">00047</a> <span class="preprocessor"></span>    <span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> <a class="code" href="namespaceirr_1_1core.html#acc1ea39594c72f97ff196e97c14ed6f3">ROUNDING_ERROR_S64</a> = 0;
<a name="l00048"></a>00048 <span class="preprocessor">#endif</span>
<a name="l00049"></a><a class="code" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">00049</a> <span class="preprocessor"></span>    <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a> = 0.000001f;
<a name="l00050"></a><a class="code" href="namespaceirr_1_1core.html#a7b314c22d6804639cbcbce5231724f0b">00050</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#a7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a> = 0.00000001;
<a name="l00051"></a>00051 
<a name="l00052"></a>00052 <span class="preprocessor">#ifdef PI // make sure we don&#39;t collide with a define</span>
<a name="l00053"></a>00053 <span class="preprocessor"></span><span class="preprocessor">#undef PI</span>
<a name="l00054"></a>00054 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00055"></a>00055 <span class="preprocessor"></span>
<a name="l00056"></a><a class="code" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e">00056</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>        = 3.14159265359f;
<a name="l00057"></a>00057 
<a name="l00059"></a><a class="code" href="namespaceirr_1_1core.html#ac97bfaa5b44703e61c23c91b88f3ec3a">00059</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ac97bfaa5b44703e61c23c91b88f3ec3a" title="Constant for reciprocal of PI.">RECIPROCAL_PI</a> = 1.0f/<a class="code" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>;
<a name="l00060"></a>00060 
<a name="l00062"></a><a class="code" href="namespaceirr_1_1core.html#abeab884c4376c5740f6d916356e9baa3">00062</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#abeab884c4376c5740f6d916356e9baa3" title="Constant for half of PI.">HALF_PI</a>   = <a class="code" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>/2.0f;
<a name="l00063"></a>00063 
<a name="l00064"></a>00064 <span class="preprocessor">#ifdef PI64 // make sure we don&#39;t collide with a define</span>
<a name="l00065"></a>00065 <span class="preprocessor"></span><span class="preprocessor">#undef PI64</span>
<a name="l00066"></a>00066 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00067"></a>00067 <span class="preprocessor"></span>
<a name="l00068"></a><a class="code" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8">00068</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a>      = 3.1415926535897932384626433832795028841971693993751;
<a name="l00069"></a>00069 
<a name="l00071"></a><a class="code" href="namespaceirr_1_1core.html#ad3a2ddd6d772edb4d663d73fae5434e3">00071</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#ad3a2ddd6d772edb4d663d73fae5434e3" title="Constant for 64bit reciprocal of PI.">RECIPROCAL_PI64</a> = 1.0/<a class="code" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a>;
<a name="l00072"></a>00072 
<a name="l00074"></a><a class="code" href="namespaceirr_1_1core.html#a4b91e69e51a2e374aec940cba3869028">00074</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a4b91e69e51a2e374aec940cba3869028" title="32bit Constant for converting from degrees to radians">DEGTORAD</a> = <a class="code" href="namespaceirr_1_1core.html#a26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a> / 180.0f;
<a name="l00075"></a>00075 
<a name="l00077"></a><a class="code" href="namespaceirr_1_1core.html#ae3a530e0ef661960b7af89f07d817bd5">00077</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ae3a530e0ef661960b7af89f07d817bd5" 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#a26d877e2caf3e6f31c298a0417a0707e" title="Constant for PI.">PI</a>;
<a name="l00078"></a>00078 
<a name="l00080"></a><a class="code" href="namespaceirr_1_1core.html#a8e21b5969c8292857f7c9c5dcfd61c35">00080</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#a8e21b5969c8292857f7c9c5dcfd61c35" title="64bit constant for converting from degrees to radians (formally known as GRAD_PI2)">DEGTORAD64</a> = <a class="code" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a> / 180.0;
<a name="l00081"></a>00081 
<a name="l00083"></a><a class="code" href="namespaceirr_1_1core.html#ae7afeb48af12f5f5130cd179a644ec58">00083</a>     <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#ae7afeb48af12f5f5130cd179a644ec58" title="64bit constant for converting from radians to degrees">RADTODEG64</a> = 180.0 / <a class="code" href="namespaceirr_1_1core.html#a166af519140dc00cbd88684e835086f8" title="Constant for 64bit PI.">PI64</a>;
<a name="l00084"></a>00084 
<a name="l00086"></a>00086 
<a name="l00089"></a><a class="code" href="namespaceirr_1_1core.html#a8deb22ad77fb8ead3f6683bbf9ad3f67">00089</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a8deb22ad77fb8ead3f6683bbf9ad3f67" title="Utility function to convert a radian value to degrees.">radToDeg</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> radians)
<a name="l00090"></a>00090     {
<a name="l00091"></a>00091         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#ae3a530e0ef661960b7af89f07d817bd5" title="32bit constant for converting from radians to degrees (formally known as GRAD_PI)">RADTODEG</a> * radians;
<a name="l00092"></a>00092     }
<a name="l00093"></a>00093 
<a name="l00095"></a>00095 
<a name="l00098"></a><a class="code" href="namespaceirr_1_1core.html#aab39939b1518daee0967c368a3bf924a">00098</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#a8deb22ad77fb8ead3f6683bbf9ad3f67" title="Utility function to convert a radian value to degrees.">radToDeg</a>(<a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> radians)
<a name="l00099"></a>00099     {
<a name="l00100"></a>00100         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#ae7afeb48af12f5f5130cd179a644ec58" title="64bit constant for converting from radians to degrees">RADTODEG64</a> * radians;
<a name="l00101"></a>00101     }
<a name="l00102"></a>00102 
<a name="l00104"></a>00104 
<a name="l00107"></a><a class="code" href="namespaceirr_1_1core.html#ad58b3d0e755a4f25ad19d5f5d4fb0280">00107</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ad58b3d0e755a4f25ad19d5f5d4fb0280" title="Utility function to convert a degrees value to radians.">degToRad</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> degrees)
<a name="l00108"></a>00108     {
<a name="l00109"></a>00109         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#a4b91e69e51a2e374aec940cba3869028" title="32bit Constant for converting from degrees to radians">DEGTORAD</a> * degrees;
<a name="l00110"></a>00110     }
<a name="l00111"></a>00111 
<a name="l00113"></a>00113 
<a name="l00116"></a><a class="code" href="namespaceirr_1_1core.html#a2def535b4f391ceb86ec0497cbb4bf80">00116</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#ad58b3d0e755a4f25ad19d5f5d4fb0280" title="Utility function to convert a degrees value to radians.">degToRad</a>(<a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> degrees)
<a name="l00117"></a>00117     {
<a name="l00118"></a>00118         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#a8e21b5969c8292857f7c9c5dcfd61c35" title="64bit constant for converting from degrees to radians (formally known as GRAD_PI2)">DEGTORAD64</a> * degrees;
<a name="l00119"></a>00119     }
<a name="l00120"></a>00120 
<a name="l00122"></a>00122     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00123"></a><a class="code" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11">00123</a>     <span class="keyword">inline</span> <span class="keyword">const</span> T&amp; <a class="code" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)">min_</a>(<span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b)
<a name="l00124"></a>00124     {
<a name="l00125"></a>00125         <span class="keywordflow">return</span> a &lt; b ? a : b;
<a name="l00126"></a>00126     }
<a name="l00127"></a>00127 
<a name="l00129"></a>00129     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00130"></a><a class="code" href="namespaceirr_1_1core.html#a620f62b5ab8b484c16c0236ca7d65d33">00130</a>     <span class="keyword">inline</span> <span class="keyword">const</span> T&amp; <a class="code" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)">min_</a>(<span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b, <span class="keyword">const</span> T&amp; c)
<a name="l00131"></a>00131     {
<a name="l00132"></a>00132         <span class="keywordflow">return</span> a &lt; b ? <a class="code" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11" 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#a9d34bfdbbe9c136b01ae04974572bc11" title="returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)">min_</a>(b, c);
<a name="l00133"></a>00133     }
<a name="l00134"></a>00134 
<a name="l00136"></a>00136     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00137"></a><a class="code" href="namespaceirr_1_1core.html#afca1ce7ac54e0c31a9047947f4c7319b">00137</a>     <span class="keyword">inline</span> <span class="keyword">const</span> T&amp; <a class="code" href="namespaceirr_1_1core.html#afca1ce7ac54e0c31a9047947f4c7319b" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)">max_</a>(<span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b)
<a name="l00138"></a>00138     {
<a name="l00139"></a>00139         <span class="keywordflow">return</span> a &lt; b ? b : a;
<a name="l00140"></a>00140     }
<a name="l00141"></a>00141 
<a name="l00143"></a>00143     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00144"></a><a class="code" href="namespaceirr_1_1core.html#ae279a231923e0c251ebfd171f03e689c">00144</a>     <span class="keyword">inline</span> <span class="keyword">const</span> T&amp; <a class="code" href="namespaceirr_1_1core.html#afca1ce7ac54e0c31a9047947f4c7319b" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)">max_</a>(<span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b, <span class="keyword">const</span> T&amp; c)
<a name="l00145"></a>00145     {
<a name="l00146"></a>00146         <span class="keywordflow">return</span> a &lt; b ? <a class="code" href="namespaceirr_1_1core.html#afca1ce7ac54e0c31a9047947f4c7319b" 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#afca1ce7ac54e0c31a9047947f4c7319b" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)">max_</a>(a, c);
<a name="l00147"></a>00147     }
<a name="l00148"></a>00148 
<a name="l00150"></a>00150     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00151"></a><a class="code" href="namespaceirr_1_1core.html#a2cab2ba5899c9262ca29501ea7551c91">00151</a>     <span class="keyword">inline</span> T <a class="code" href="namespaceirr_1_1core.html#a2cab2ba5899c9262ca29501ea7551c91" title="returns abs of two values. Own implementation to get rid of STL (VS6 problems)">abs_</a>(<span class="keyword">const</span> T&amp; a)
<a name="l00152"></a>00152     {
<a name="l00153"></a>00153         <span class="keywordflow">return</span> a &lt; (T)0 ? -a : a;
<a name="l00154"></a>00154     }
<a name="l00155"></a>00155 
<a name="l00158"></a>00158     <span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;
<a name="l00159"></a><a class="code" href="namespaceirr_1_1core.html#ae2e6a5729b911d26565b508e8b8dae91">00159</a>     <span class="keyword">inline</span> T <a class="code" href="namespaceirr_1_1core.html#ae2e6a5729b911d26565b508e8b8dae91">lerp</a>(<span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> t)
<a name="l00160"></a>00160     {
<a name="l00161"></a>00161         <span class="keywordflow">return</span> (T)(a*(1.f-t)) + (b*t);
<a name="l00162"></a>00162     }
<a name="l00163"></a>00163 
<a name="l00165"></a>00165     <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;
<a name="l00166"></a><a class="code" href="namespaceirr_1_1core.html#a6162f685b68f629e77336081d3316969">00166</a>     <span class="keyword">inline</span> <span class="keyword">const</span> T <a class="code" href="namespaceirr_1_1core.html#a6162f685b68f629e77336081d3316969" title="clamps a value between low and high">clamp</a> (<span class="keyword">const</span> T&amp; value, <span class="keyword">const</span> T&amp; low, <span class="keyword">const</span> T&amp; high)
<a name="l00167"></a>00167     {
<a name="l00168"></a>00168         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#a9d34bfdbbe9c136b01ae04974572bc11" 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#afca1ce7ac54e0c31a9047947f4c7319b" title="returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)">max_</a>(value,low), high);
<a name="l00169"></a>00169     }
<a name="l00170"></a>00170 
<a name="l00172"></a>00172     <span class="comment">// Note: We use the same trick as boost and use two template arguments to</span>
<a name="l00173"></a>00173     <span class="comment">// avoid ambiguity when swapping objects of an Irrlicht type that has not</span>
<a name="l00174"></a>00174     <span class="comment">// it&#39;s own swap overload. Otherwise we get conflicts with some compilers</span>
<a name="l00175"></a>00175     <span class="comment">// in combination with stl.</span>
<a name="l00176"></a>00176     <span class="keyword">template</span> &lt;<span class="keyword">class</span> T1, <span class="keyword">class</span> T2&gt;
<a name="l00177"></a><a class="code" href="namespaceirr_1_1core.html#ab565e5d5112b21ff9b96a0ca0c9b89ad">00177</a>     <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespaceirr_1_1core.html#ab565e5d5112b21ff9b96a0ca0c9b89ad" title="swaps the content of the passed parameters">swap</a>(T1&amp; a, T2&amp; b)
<a name="l00178"></a>00178     {
<a name="l00179"></a>00179         T1 c(a);
<a name="l00180"></a>00180         a = b;
<a name="l00181"></a>00181         b = c;
<a name="l00182"></a>00182     }
<a name="l00183"></a>00183 
<a name="l00185"></a><a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3">00185</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#a7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a>)
<a name="l00186"></a>00186     {
<a name="l00187"></a>00187         <span class="keywordflow">return</span> (a + tolerance &gt;= b) &amp;&amp; (a - tolerance &lt;= b);
<a name="l00188"></a>00188     }
<a name="l00189"></a>00189 
<a name="l00191"></a><a class="code" href="namespaceirr_1_1core.html#ae9c63fd2065e6afd30b4537166706ddf">00191</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00192"></a>00192     {
<a name="l00193"></a>00193         <span class="keywordflow">return</span> (a + tolerance &gt;= b) &amp;&amp; (a - tolerance &lt;= b);
<a name="l00194"></a>00194     }
<a name="l00195"></a>00195 
<a name="l00197"></a>00197     <span class="comment">//\result true when numbers have a ULP &lt;= maxUlpDiff AND have the same sign.</span>
<a name="l00198"></a><a class="code" href="namespaceirr_1_1core.html#a730a85283e04b33debcf3b755e5b7603">00198</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#a730a85283e04b33debcf3b755e5b7603" title="We compare the difference in ULP&#39;s (spacing between floating-point numbers, aka ULP=1 means there exi...">equalsByUlp</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keywordtype">int</span> maxUlpDiff)
<a name="l00199"></a>00199     {
<a name="l00200"></a>00200         <span class="comment">// Based on the ideas and code from Bruce Dawson on</span>
<a name="l00201"></a>00201         <span class="comment">// http://www.altdevblogaday.com/2012/02/22/comparing-floating-point-numbers-2012-edition/</span>
<a name="l00202"></a>00202         <span class="comment">// When floats are interpreted as integers the two nearest possible float numbers differ just</span>
<a name="l00203"></a>00203         <span class="comment">// by one integer number. Also works the other way round, an integer of 1 interpreted as float</span>
<a name="l00204"></a>00204         <span class="comment">// is for example the smallest possible float number.</span>
<a name="l00205"></a>00205         <span class="keyword">union </span>Float_t
<a name="l00206"></a>00206         {
<a name="l00207"></a>00207             Float_t(<span class="keywordtype">float</span> f1 = 0.0f) : f(f1) {}
<a name="l00208"></a>00208             <span class="comment">// Portable sign-extraction</span>
<a name="l00209"></a>00209             <span class="keywordtype">bool</span> sign()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (i &gt;&gt; 31) != 0; }
<a name="l00210"></a>00210 
<a name="l00211"></a>00211             <span class="keywordtype">int</span> i;
<a name="l00212"></a>00212             <span class="keywordtype">float</span> f;
<a name="l00213"></a>00213         };
<a name="l00214"></a>00214 
<a name="l00215"></a>00215         Float_t fa(a);
<a name="l00216"></a>00216         Float_t fb(b);
<a name="l00217"></a>00217 
<a name="l00218"></a>00218         <span class="comment">// Different signs, we could maybe get difference to 0, but so close to 0 using epsilons is better.</span>
<a name="l00219"></a>00219         <span class="keywordflow">if</span> ( fa.sign() != fb.sign() )
<a name="l00220"></a>00220         {
<a name="l00221"></a>00221             <span class="comment">// Check for equality to make sure +0==-0</span>
<a name="l00222"></a>00222             <span class="keywordflow">if</span> (fa.i == fb.i)
<a name="l00223"></a>00223                 <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00224"></a>00224             <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00225"></a>00225         }
<a name="l00226"></a>00226 
<a name="l00227"></a>00227         <span class="comment">// Find the difference in ULPs.</span>
<a name="l00228"></a>00228         <span class="keywordtype">int</span> ulpsDiff = <a class="code" href="namespaceirr_1_1core.html#a2cab2ba5899c9262ca29501ea7551c91" title="returns abs of two values. Own implementation to get rid of STL (VS6 problems)">abs_</a>(fa.i- fb.i);
<a name="l00229"></a>00229         <span class="keywordflow">if</span> (ulpsDiff &lt;= maxUlpDiff)
<a name="l00230"></a>00230             <span class="keywordflow">return</span> <span class="keyword">true</span>;
<a name="l00231"></a>00231 
<a name="l00232"></a>00232         <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00233"></a>00233     }
<a name="l00234"></a>00234 
<a name="l00235"></a>00235 <span class="preprocessor">#if 0</span>
<a name="l00236"></a>00236 <span class="preprocessor"></span>
<a name="l00237"></a>00237     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b)
<a name="l00238"></a>00238     {
<a name="l00239"></a>00239         <span class="keywordflow">return</span> (a == b);
<a name="l00240"></a>00240     }
<a name="l00241"></a>00241 
<a name="l00243"></a>00243     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b)
<a name="l00244"></a>00244     {
<a name="l00245"></a>00245         <span class="keywordflow">return</span> (a == b);
<a name="l00246"></a>00246     }
<a name="l00247"></a>00247 <span class="preprocessor">#endif</span>
<a name="l00248"></a>00248 <span class="preprocessor"></span>
<a name="l00249"></a><a class="code" href="namespaceirr_1_1core.html#afe4784d5bf091acce7777c40c4010ff8">00249</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#aac9f99b6a999bdf25fec402c59e8342a" title="Rounding error constant often used when comparing f32 values.">ROUNDING_ERROR_S32</a>)
<a name="l00250"></a>00250     {
<a name="l00251"></a>00251         <span class="keywordflow">return</span> (a + tolerance &gt;= b) &amp;&amp; (a - tolerance &lt;= b);
<a name="l00252"></a>00252     }
<a name="l00253"></a>00253 
<a name="l00255"></a><a class="code" href="namespaceirr_1_1core.html#a9a54aa08fdc2119258ad8dfa44f8dadf">00255</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#aac9f99b6a999bdf25fec402c59e8342a" title="Rounding error constant often used when comparing f32 values.">ROUNDING_ERROR_S32</a>)
<a name="l00256"></a>00256     {
<a name="l00257"></a>00257         <span class="keywordflow">return</span> (a + tolerance &gt;= b) &amp;&amp; (a - tolerance &lt;= b);
<a name="l00258"></a>00258     }
<a name="l00259"></a>00259 
<a name="l00260"></a>00260 <span class="preprocessor">#ifdef __IRR_HAS_S64</span>
<a name="l00261"></a>00261 <span class="preprocessor"></span>
<a name="l00262"></a><a class="code" href="namespaceirr_1_1core.html#a7928ce8e86ff93d918b0c144efab7b47">00262</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#abf9b9b140cc365908ea4c8c47451e4e3" 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#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#acc1ea39594c72f97ff196e97c14ed6f3">ROUNDING_ERROR_S64</a>)
<a name="l00263"></a>00263     {
<a name="l00264"></a>00264         <span class="keywordflow">return</span> (a + tolerance &gt;= b) &amp;&amp; (a - tolerance &lt;= b);
<a name="l00265"></a>00265     }
<a name="l00266"></a>00266 <span class="preprocessor">#endif</span>
<a name="l00267"></a>00267 <span class="preprocessor"></span>
<a name="l00269"></a><a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2">00269</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#a7b314c22d6804639cbcbce5231724f0b">ROUNDING_ERROR_f64</a>)
<a name="l00270"></a>00270     {
<a name="l00271"></a>00271         <span class="keywordflow">return</span> fabs(a) &lt;= tolerance;
<a name="l00272"></a>00272     }
<a name="l00273"></a>00273 
<a name="l00275"></a><a class="code" href="namespaceirr_1_1core.html#aaf94a81169679083a48f9f9e6dced684">00275</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00276"></a>00276     {
<a name="l00277"></a>00277         <span class="keywordflow">return</span> fabsf(a) &lt;= tolerance;
<a name="l00278"></a>00278     }
<a name="l00279"></a>00279 
<a name="l00281"></a><a class="code" href="namespaceirr_1_1core.html#a6e179d6dd92b81607f0539329dc2410a">00281</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#a6e179d6dd92b81607f0539329dc2410a" 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#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> tolerance = <a class="code" href="namespaceirr_1_1core.html#a9514dd34463a30102ef8836915cf9c4c">ROUNDING_ERROR_f32</a>)
<a name="l00282"></a>00282     {
<a name="l00283"></a>00283         <span class="keywordflow">return</span> fabsf(a) &gt; tolerance;
<a name="l00284"></a>00284     }
<a name="l00285"></a>00285 
<a name="l00287"></a><a class="code" href="namespaceirr_1_1core.html#a3842b13dc7bd40f068cc8f7fd91bcfa5">00287</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> tolerance = 0)
<a name="l00288"></a>00288     {
<a name="l00289"></a>00289         <span class="keywordflow">return</span> ( a &amp; 0x7ffffff ) &lt;= tolerance;
<a name="l00290"></a>00290     }
<a name="l00291"></a>00291 
<a name="l00293"></a><a class="code" href="namespaceirr_1_1core.html#afa64d4495f986ec0fa840e61cba45c68">00293</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> tolerance = 0)
<a name="l00294"></a>00294     {
<a name="l00295"></a>00295         <span class="keywordflow">return</span> a &lt;= tolerance;
<a name="l00296"></a>00296     }
<a name="l00297"></a>00297 
<a name="l00298"></a>00298 <span class="preprocessor">#ifdef __IRR_HAS_S64</span>
<a name="l00299"></a>00299 <span class="preprocessor"></span>
<a name="l00300"></a><a class="code" href="namespaceirr_1_1core.html#a418bebacbef432fcf909e8f3d9b8368d">00300</a>     <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceirr_1_1core.html#afc24e6ba26469ec7ca7001ed272dc3b2" title="returns if a equals zero, taking rounding errors into account">iszero</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> tolerance = 0)
<a name="l00301"></a>00301     {
<a name="l00302"></a>00302         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#a2cab2ba5899c9262ca29501ea7551c91" title="returns abs of two values. Own implementation to get rid of STL (VS6 problems)">abs_</a>(a) &gt; tolerance;
<a name="l00303"></a>00303     }
<a name="l00304"></a>00304 <span class="preprocessor">#endif</span>
<a name="l00305"></a>00305 <span class="preprocessor"></span>
<a name="l00306"></a><a class="code" href="namespaceirr_1_1core.html#aa0d9ebcfeca532643e76cf58b98daca1">00306</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#aa0d9ebcfeca532643e76cf58b98daca1">s32_min</a>(<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b)
<a name="l00307"></a>00307     {
<a name="l00308"></a>00308         <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> mask = (a - b) &gt;&gt; 31;
<a name="l00309"></a>00309         <span class="keywordflow">return</span> (a &amp; mask) | (b &amp; ~mask);
<a name="l00310"></a>00310     }
<a name="l00311"></a>00311 
<a name="l00312"></a><a class="code" href="namespaceirr_1_1core.html#a3adbc0ee7f78051eb2a35511fe90bd2d">00312</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#a3adbc0ee7f78051eb2a35511fe90bd2d">s32_max</a>(<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> a, <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> b)
<a name="l00313"></a>00313     {
<a name="l00314"></a>00314         <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> mask = (a - b) &gt;&gt; 31;
<a name="l00315"></a>00315         <span class="keywordflow">return</span> (b &amp; mask) | (a &amp; ~mask);
<a name="l00316"></a>00316     }
<a name="l00317"></a>00317 
<a name="l00318"></a><a class="code" href="namespaceirr_1_1core.html#aa7828c932a36c62a67fd0f2b972d8b21">00318</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#aa7828c932a36c62a67fd0f2b972d8b21">s32_clamp</a> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> value, <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> low, <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> high)
<a name="l00319"></a>00319     {
<a name="l00320"></a>00320         <span class="keywordflow">return</span> <a class="code" href="namespaceirr_1_1core.html#aa0d9ebcfeca532643e76cf58b98daca1">s32_min</a>(<a class="code" href="namespaceirr_1_1core.html#a3adbc0ee7f78051eb2a35511fe90bd2d">s32_max</a>(value,low), high);
<a name="l00321"></a>00321     }
<a name="l00322"></a>00322 
<a name="l00323"></a>00323     <span class="comment">/*</span>
<a name="l00324"></a>00324 <span class="comment">        float IEEE-754 bit represenation</span>
<a name="l00325"></a>00325 <span class="comment"></span>
<a name="l00326"></a>00326 <span class="comment">        0      0x00000000</span>
<a name="l00327"></a>00327 <span class="comment">        1.0    0x3f800000</span>
<a name="l00328"></a>00328 <span class="comment">        0.5    0x3f000000</span>
<a name="l00329"></a>00329 <span class="comment">        3      0x40400000</span>
<a name="l00330"></a>00330 <span class="comment">        +inf   0x7f800000</span>
<a name="l00331"></a>00331 <span class="comment">        -inf   0xff800000</span>
<a name="l00332"></a>00332 <span class="comment">        +NaN   0x7fc00000 or 0x7ff00000</span>
<a name="l00333"></a>00333 <span class="comment">        in general: number = (sign ? -1:1) * 2^(exponent) * 1.(mantissa bits)</span>
<a name="l00334"></a>00334 <span class="comment">    */</span>
<a name="l00335"></a>00335 
<a name="l00336"></a><a class="code" href="unionirr_1_1core_1_1inttofloat.html#a87651356c7436ac7755e85189412f75a">00336</a>     <span class="keyword">typedef</span> <span class="keyword">union </span>{ <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="unionirr_1_1core_1_1inttofloat.html#a87651356c7436ac7755e85189412f75a">u</a>; <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> s; <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f; } <a class="code" href="unionirr_1_1core_1_1inttofloat.html">inttofloat</a>;
<a name="l00337"></a>00337 
<a name="l00338"></a><a class="code" href="irr_math_8h.html#afc4f1a86cb2a79c560b29ee5edd0f94d">00338</a> <span class="preprocessor">    #define F32_AS_S32(f)       (*((s32 *) &amp;(f)))</span>
<a name="l00339"></a><a class="code" href="irr_math_8h.html#afdeb4b30296d2b1dccec72427bdb39f2">00339</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_AS_U32(f)       (*((u32 *) &amp;(f)))</span>
<a name="l00340"></a><a class="code" href="irr_math_8h.html#ab5498fea750901e87dfeca4e27425f16">00340</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_AS_U32_POINTER(f)   ( ((u32 *) &amp;(f)))</span>
<a name="l00341"></a>00341 <span class="preprocessor"></span>
<a name="l00342"></a><a class="code" href="irr_math_8h.html#aff2ace8fbd4b2ee6833ae0ed8dd9469a">00342</a> <span class="preprocessor">    #define F32_VALUE_0     0x00000000</span>
<a name="l00343"></a><a class="code" href="irr_math_8h.html#a93465b810662025b38f42244b100fc2e">00343</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_VALUE_1     0x3f800000</span>
<a name="l00344"></a><a class="code" href="irr_math_8h.html#a58566d4b084b3c9740b3215cf7a607bb">00344</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_SIGN_BIT        0x80000000U</span>
<a name="l00345"></a><a class="code" href="irr_math_8h.html#a94abc82f2a2794c8331c9dad9a06958b">00345</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_EXPON_MANTISSA  0x7FFFFFFFU</span>
<a name="l00346"></a>00346 <span class="preprocessor"></span>
<a name="l00349"></a>00349 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00350"></a>00350 <span class="preprocessor"></span><span class="preprocessor">    #define IR(x)                           ((u32&amp;)(x))</span>
<a name="l00351"></a>00351 <span class="preprocessor"></span><span class="preprocessor">#else</span>
<a name="l00352"></a><a class="code" href="namespaceirr_1_1core.html#aff42ea2c4d80cb7b45b71d1f63c6a226">00352</a> <span class="preprocessor"></span>    <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#aff42ea2c4d80cb7b45b71d1f63c6a226">IR</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" 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#ab0dd36fa35cbb368602fa0d18b2d9788">f</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#a87651356c7436ac7755e85189412f75a">u</a>;}
<a name="l00353"></a>00353 <span class="preprocessor">#endif</span>
<a name="l00354"></a>00354 <span class="preprocessor"></span>
<a name="l00356"></a><a class="code" href="irr_math_8h.html#aa854d8430e0acc31adb1ddb3647f6534">00356</a> <span class="preprocessor">    #define AIR(x)              (IR(x)&amp;0x7fffffff)</span>
<a name="l00357"></a>00357 <span class="preprocessor"></span>
<a name="l00359"></a>00359 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00360"></a>00360 <span class="preprocessor"></span><span class="preprocessor">    #define FR(x)                           ((f32&amp;)(x))</span>
<a name="l00361"></a>00361 <span class="preprocessor"></span><span class="preprocessor">#else</span>
<a name="l00362"></a><a class="code" href="namespaceirr_1_1core.html#ae0940bd4032e5f10cf83b460f73571a3">00362</a> <span class="preprocessor"></span>    <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ae0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">FR</a>(<a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" 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#a87651356c7436ac7755e85189412f75a">u</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#ab0dd36fa35cbb368602fa0d18b2d9788">f</a>;}
<a name="l00363"></a><a class="code" href="namespaceirr_1_1core.html#a10bf7ddf910b7feac9a36fd141a9f5ba">00363</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ae0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">FR</a>(<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" 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#a1adc8b3417ac325bd9695c0cbb6c043e">s</a>=x; <span class="keywordflow">return</span> tmp.<a class="code" href="unionirr_1_1core_1_1inttofloat.html#ab0dd36fa35cbb368602fa0d18b2d9788">f</a>;}
<a name="l00364"></a>00364 <span class="preprocessor">#endif</span>
<a name="l00365"></a>00365 <span class="preprocessor"></span>
<a name="l00367"></a><a class="code" href="irr_math_8h.html#a3ec4980c07f6b510c61230356e014d24">00367</a> <span class="preprocessor">    #define IEEE_1_0            0x3f800000</span>
<a name="l00368"></a>00368 <span class="preprocessor"></span>
<a name="l00369"></a><a class="code" href="irr_math_8h.html#a2b311316554140ac181c31d86f4f3786">00369</a> <span class="preprocessor">    #define IEEE_255_0          0x437f0000</span>
<a name="l00370"></a>00370 <span class="preprocessor"></span>
<a name="l00371"></a>00371 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00372"></a>00372 <span class="preprocessor"></span><span class="preprocessor">    #define F32_LOWER_0(f)      (F32_AS_U32(f) &gt;  F32_SIGN_BIT)</span>
<a name="l00373"></a>00373 <span class="preprocessor"></span><span class="preprocessor">    #define F32_LOWER_EQUAL_0(f)    (F32_AS_S32(f) &lt;= F32_VALUE_0)</span>
<a name="l00374"></a>00374 <span class="preprocessor"></span><span class="preprocessor">    #define F32_GREATER_0(f)    (F32_AS_S32(f) &gt;  F32_VALUE_0)</span>
<a name="l00375"></a>00375 <span class="preprocessor"></span><span class="preprocessor">    #define F32_GREATER_EQUAL_0(f)  (F32_AS_U32(f) &lt;= F32_SIGN_BIT)</span>
<a name="l00376"></a>00376 <span class="preprocessor"></span><span class="preprocessor">    #define F32_EQUAL_1(f)      (F32_AS_U32(f) == F32_VALUE_1)</span>
<a name="l00377"></a>00377 <span class="preprocessor"></span><span class="preprocessor">    #define F32_EQUAL_0(f)      ( (F32_AS_U32(f) &amp; F32_EXPON_MANTISSA ) == F32_VALUE_0)</span>
<a name="l00378"></a>00378 <span class="preprocessor"></span>
<a name="l00379"></a>00379     <span class="comment">// only same sign</span>
<a name="l00380"></a>00380 <span class="preprocessor">    #define F32_A_GREATER_B(a,b)    (F32_AS_S32((a)) &gt; F32_AS_S32((b)))</span>
<a name="l00381"></a>00381 <span class="preprocessor"></span>
<a name="l00382"></a>00382 <span class="preprocessor">#else</span>
<a name="l00383"></a>00383 <span class="preprocessor"></span>
<a name="l00384"></a><a class="code" href="irr_math_8h.html#aa86a7d03858f88ebbf9e36592583ced6">00384</a> <span class="preprocessor">    #define F32_LOWER_0(n)      ((n) &lt;  0.0f)</span>
<a name="l00385"></a><a class="code" href="irr_math_8h.html#a26bc42a9cc1fc775bc588052c32ff9a0">00385</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_LOWER_EQUAL_0(n)    ((n) &lt;= 0.0f)</span>
<a name="l00386"></a><a class="code" href="irr_math_8h.html#a2fdc9e94ce29e1866ddf64e5903d43a1">00386</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_GREATER_0(n)    ((n) &gt;  0.0f)</span>
<a name="l00387"></a><a class="code" href="irr_math_8h.html#a407afe61680cc405bbe04922d36423af">00387</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_GREATER_EQUAL_0(n)  ((n) &gt;= 0.0f)</span>
<a name="l00388"></a><a class="code" href="irr_math_8h.html#ae907baf637203996fb3187581c2def80">00388</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_EQUAL_1(n)      ((n) == 1.0f)</span>
<a name="l00389"></a><a class="code" href="irr_math_8h.html#a3c82a09fb606a67c19514b534d364d6c">00389</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_EQUAL_0(n)      ((n) == 0.0f)</span>
<a name="l00390"></a><a class="code" href="irr_math_8h.html#ab4092d1d22af18e03372117e347b633c">00390</a> <span class="preprocessor"></span><span class="preprocessor">    #define F32_A_GREATER_B(a,b)    ((a) &gt; (b))</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="preprocessor">#ifndef REALINLINE</span>
<a name="l00395"></a>00395 <span class="preprocessor"></span><span class="preprocessor">    #ifdef _MSC_VER</span>
<a name="l00396"></a>00396 <span class="preprocessor"></span><span class="preprocessor">        #define REALINLINE __forceinline</span>
<a name="l00397"></a>00397 <span class="preprocessor"></span><span class="preprocessor">    #else</span>
<a name="l00398"></a><a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">00398</a> <span class="preprocessor"></span><span class="preprocessor">        #define REALINLINE inline</span>
<a name="l00399"></a>00399 <span class="preprocessor"></span><span class="preprocessor">    #endif</span>
<a name="l00400"></a>00400 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00401"></a>00401 <span class="preprocessor"></span>
<a name="l00402"></a>00402 <span class="preprocessor">#if defined(__BORLANDC__) || defined (__BCPLUSPLUS__)</span>
<a name="l00403"></a>00403 <span class="preprocessor"></span>
<a name="l00404"></a>00404     <span class="comment">// 8-bit bools in borland builder</span>
<a name="l00405"></a>00405 
<a name="l00407"></a>00407     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#ad6426246733e5dc16713f43352d85cdb" 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#a9395eaea339bcb546b319e9c96bf7410" title="8 bit character variable.">c8</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b )
<a name="l00408"></a>00408     {
<a name="l00409"></a>00409         <span class="keywordflow">return</span> ( ( -condition &gt;&gt; 7 ) &amp; ( a ^ b ) ) ^ b;
<a name="l00410"></a>00410     }
<a name="l00411"></a>00411 
<a name="l00413"></a>00413     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#af19c13d0084052f12357308c0cd83005" 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#a9395eaea339bcb546b319e9c96bf7410" title="8 bit character variable.">c8</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a )
<a name="l00414"></a>00414     {
<a name="l00415"></a>00415         <span class="keywordflow">return</span> ( -condition &gt;&gt; 31 ) &amp; a;
<a name="l00416"></a>00416     }
<a name="l00417"></a>00417 <span class="preprocessor">#else</span>
<a name="l00418"></a>00418 <span class="preprocessor"></span>
<a name="l00420"></a><a class="code" href="namespaceirr_1_1core.html#ad6426246733e5dc16713f43352d85cdb">00420</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#ad6426246733e5dc16713f43352d85cdb" 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#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> b )
<a name="l00421"></a>00421     {
<a name="l00422"></a>00422         <span class="keywordflow">return</span> ( ( -condition &gt;&gt; 31 ) &amp; ( a ^ b ) ) ^ b;
<a name="l00423"></a>00423     }
<a name="l00424"></a>00424 
<a name="l00426"></a><a class="code" href="namespaceirr_1_1core.html#af1ec8eb919fdb81c259920cce4004329">00426</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ae9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> <a class="code" href="namespaceirr_1_1core.html#ad6426246733e5dc16713f43352d85cdb" 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#a43ace0af066371ac0862bac3f7314220" title="16 bit signed variable.">s16</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ae9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#ae9f8ec82692ad3b83c21f555bfa70bcc" title="16 bit unsigned variable.">u16</a> b )
<a name="l00427"></a>00427     {
<a name="l00428"></a>00428         <span class="keywordflow">return</span> ( ( -condition &gt;&gt; 15 ) &amp; ( a ^ b ) ) ^ b;
<a name="l00429"></a>00429     }
<a name="l00430"></a>00430 
<a name="l00432"></a><a class="code" href="namespaceirr_1_1core.html#af19c13d0084052f12357308c0cd83005">00432</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> <a class="code" href="namespaceirr_1_1core.html#af19c13d0084052f12357308c0cd83005" 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#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> a )
<a name="l00433"></a>00433     {
<a name="l00434"></a>00434         <span class="keywordflow">return</span> ( -condition &gt;&gt; 31 ) &amp; a;
<a name="l00435"></a>00435     }
<a name="l00436"></a>00436 <span class="preprocessor">#endif</span>
<a name="l00437"></a>00437 <span class="preprocessor"></span>
<a name="l00438"></a>00438     <span class="comment">/*</span>
<a name="l00439"></a>00439 <span class="comment">        if (condition) state |= m; else state &amp;= ~m;</span>
<a name="l00440"></a>00440 <span class="comment">    */</span>
<a name="l00441"></a><a class="code" href="namespaceirr_1_1core.html#a628051738e8873b91b064e6014024f41">00441</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <span class="keywordtype">void</span> <a class="code" href="namespaceirr_1_1core.html#a628051738e8873b91b064e6014024f41">setbit_cond</a> ( <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> &amp;state, <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> condition, <a class="code" href="namespaceirr.html#a0416a53257075833e7002efd0a18e804" title="32 bit unsigned variable.">u32</a> mask )
<a name="l00442"></a>00442     {
<a name="l00443"></a>00443         <span class="comment">// 0, or any postive to mask</span>
<a name="l00444"></a>00444         <span class="comment">//s32 conmask = -condition &gt;&gt; 31;</span>
<a name="l00445"></a>00445         state ^= ( ( -condition &gt;&gt; 31 ) ^ state ) &amp; mask;
<a name="l00446"></a>00446     }
<a name="l00447"></a>00447 
<a name="l00448"></a><a class="code" href="namespaceirr_1_1core.html#a894a901069c34298987761c5f3d74f1f">00448</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a894a901069c34298987761c5f3d74f1f">round_</a>( <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00449"></a>00449     {
<a name="l00450"></a>00450         <span class="keywordflow">return</span> floorf( x + 0.5f );
<a name="l00451"></a>00451     }
<a name="l00452"></a>00452 
<a name="l00453"></a><a class="code" href="namespaceirr_1_1core.html#ab4c17ceae6e2b96383e842eabb9596ab">00453</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <span class="keywordtype">void</span> <a class="code" href="namespaceirr_1_1core.html#ab4c17ceae6e2b96383e842eabb9596ab">clearFPUException</a> ()
<a name="l00454"></a>00454     {
<a name="l00455"></a>00455 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00456"></a>00456 <span class="preprocessor"></span>        <span class="keywordflow">return</span>;
<a name="l00457"></a>00457 <span class="preprocessor">#ifdef feclearexcept</span>
<a name="l00458"></a>00458 <span class="preprocessor"></span>        feclearexcept(FE_ALL_EXCEPT);
<a name="l00459"></a>00459 <span class="preprocessor">#elif defined(_MSC_VER)</span>
<a name="l00460"></a>00460 <span class="preprocessor"></span>        __asm fnclex;
<a name="l00461"></a>00461 <span class="preprocessor">#elif defined(__GNUC__) &amp;&amp; defined(__x86__)</span>
<a name="l00462"></a>00462 <span class="preprocessor"></span>        __asm__ __volatile__ (<span class="stringliteral">&quot;fclex \n\t&quot;</span>);
<a name="l00463"></a>00463 <span class="preprocessor">#else</span>
<a name="l00464"></a>00464 <span class="preprocessor"></span><span class="preprocessor">#  warn clearFPUException not supported.</span>
<a name="l00465"></a>00465 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00466"></a>00466 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00467"></a>00467 <span class="preprocessor"></span>    }
<a name="l00468"></a>00468 
<a name="l00469"></a>00469     <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00470"></a><a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">00470</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f)
<a name="l00471"></a>00471     {
<a name="l00472"></a>00472         <span class="keywordflow">return</span> sqrtf(f);
<a name="l00473"></a>00473     }
<a name="l00474"></a>00474 
<a name="l00475"></a>00475     <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00476"></a><a class="code" href="namespaceirr_1_1core.html#ad4378f076bf251c05e543ce888da8f48">00476</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> f)
<a name="l00477"></a>00477     {
<a name="l00478"></a>00478         <span class="keywordflow">return</span> sqrt(f);
<a name="l00479"></a>00479     }
<a name="l00480"></a>00480 
<a name="l00481"></a>00481     <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00482"></a><a class="code" href="namespaceirr_1_1core.html#a6943186698de9d2ff47ce03fbe025230">00482</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> f)
<a name="l00483"></a>00483     {
<a name="l00484"></a>00484         <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a><span class="keyword">&gt;</span>(<a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(static_cast&lt;f32&gt;(f)));
<a name="l00485"></a>00485     }
<a name="l00486"></a>00486 
<a name="l00487"></a>00487 <span class="preprocessor">#ifdef __IRR_HAS_S64</span>
<a name="l00488"></a>00488 <span class="preprocessor"></span>    <span class="comment">// calculate: sqrt ( x )</span>
<a name="l00489"></a><a class="code" href="namespaceirr_1_1core.html#a9a79fc4c36183e75d70c740b2b9f1865">00489</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> <a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a> f)
<a name="l00490"></a>00490     {
<a name="l00491"></a>00491         <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code" href="namespaceirr.html#abf54bd535f8d4dd996270e68c3ad8c08" title="64 bit signed variable.">s64</a><span class="keyword">&gt;</span>(<a class="code" href="namespaceirr_1_1core.html#af2f378cc34a19f5da6fe1d4961646d1d">squareroot</a>(static_cast&lt;f64&gt;(f)));
<a name="l00492"></a>00492     }
<a name="l00493"></a>00493 <span class="preprocessor">#endif</span>
<a name="l00494"></a>00494 <span class="preprocessor"></span>
<a name="l00495"></a>00495     <span class="comment">// calculate: 1 / sqrt ( x )</span>
<a name="l00496"></a><a class="code" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">00496</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> x)
<a name="l00497"></a>00497     {
<a name="l00498"></a>00498         <span class="keywordflow">return</span> 1.0 / sqrt(x);
<a name="l00499"></a>00499     }
<a name="l00500"></a>00500 
<a name="l00501"></a>00501     <span class="comment">// calculate: 1 / sqrtf ( x )</span>
<a name="l00502"></a><a class="code" href="namespaceirr_1_1core.html#a42eb747bb19d6ca2cb9d8977eb402c72">00502</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f)
<a name="l00503"></a>00503     {
<a name="l00504"></a>00504 <span class="preprocessor">#if defined ( IRRLICHT_FAST_MATH )</span>
<a name="l00505"></a>00505 <span class="preprocessor"></span><span class="preprocessor">    #if defined(_MSC_VER)</span>
<a name="l00506"></a>00506 <span class="preprocessor"></span>        <span class="comment">// SSE reciprocal square root estimate, accurate to 12 significant</span>
<a name="l00507"></a>00507         <span class="comment">// bits of the mantissa</span>
<a name="l00508"></a>00508         <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> recsqrt;
<a name="l00509"></a>00509         __asm rsqrtss xmm0, f           <span class="comment">// xmm0 = rsqrtss(f)</span>
<a name="l00510"></a>00510         __asm movss recsqrt, xmm0       <span class="comment">// return xmm0</span>
<a name="l00511"></a>00511         <span class="keywordflow">return</span> recsqrt;
<a name="l00512"></a>00512 
<a name="l00513"></a>00513 <span class="comment">/*</span>
<a name="l00514"></a>00514 <span class="comment">        // comes from Nvidia</span>
<a name="l00515"></a>00515 <span class="comment">        u32 tmp = (u32(IEEE_1_0 &lt;&lt; 1) + IEEE_1_0 - *(u32*)&amp;x) &gt;&gt; 1;</span>
<a name="l00516"></a>00516 <span class="comment">        f32 y = *(f32*)&amp;tmp;</span>
<a name="l00517"></a>00517 <span class="comment">        return y * (1.47f - 0.47f * x * y * y);</span>
<a name="l00518"></a>00518 <span class="comment">*/</span>
<a name="l00519"></a>00519 <span class="preprocessor">    #else</span>
<a name="l00520"></a>00520 <span class="preprocessor"></span>        <span class="keywordflow">return</span> 1.f / sqrtf(f);
<a name="l00521"></a>00521 <span class="preprocessor">    #endif</span>
<a name="l00522"></a>00522 <span class="preprocessor"></span><span class="preprocessor">#else // no fast math</span>
<a name="l00523"></a>00523 <span class="preprocessor"></span>        <span class="keywordflow">return</span> 1.f / sqrtf(f);
<a name="l00524"></a>00524 <span class="preprocessor">#endif</span>
<a name="l00525"></a>00525 <span class="preprocessor"></span>    }
<a name="l00526"></a>00526 
<a name="l00527"></a>00527     <span class="comment">// calculate: 1 / sqrtf( x )</span>
<a name="l00528"></a><a class="code" href="namespaceirr_1_1core.html#a21c37238a7754b48ff18c486202a1e4b">00528</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> x)
<a name="l00529"></a>00529     {
<a name="l00530"></a>00530         <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a><span class="keyword">&gt;</span>(<a class="code" href="namespaceirr_1_1core.html#adaef309f12c2a3386e94610e24f2bfa7">reciprocal_squareroot</a>(static_cast&lt;f32&gt;(x)));
<a name="l00531"></a>00531     }
<a name="l00532"></a>00532 
<a name="l00533"></a>00533     <span class="comment">// calculate: 1 / x</span>
<a name="l00534"></a><a class="code" href="namespaceirr_1_1core.html#aa01390f49052dfe07e16ee6c5233f4eb">00534</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#aa01390f49052dfe07e16ee6c5233f4eb">reciprocal</a>( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f )
<a name="l00535"></a>00535     {
<a name="l00536"></a>00536 <span class="preprocessor">#if defined (IRRLICHT_FAST_MATH)</span>
<a name="l00537"></a>00537 <span class="preprocessor"></span>
<a name="l00538"></a>00538         <span class="comment">// SSE Newton-Raphson reciprocal estimate, accurate to 23 significant</span>
<a name="l00539"></a>00539         <span class="comment">// bi ts of the mantissa</span>
<a name="l00540"></a>00540         <span class="comment">// One Newtown-Raphson Iteration:</span>
<a name="l00541"></a>00541         <span class="comment">// f(i+1) = 2 * rcpss(f) - f * rcpss(f) * rcpss(f)</span>
<a name="l00542"></a>00542         <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> rec;
<a name="l00543"></a>00543         __asm rcpss xmm0, f               <span class="comment">// xmm0 = rcpss(f)</span>
<a name="l00544"></a>00544         __asm movss xmm1, f               <span class="comment">// xmm1 = f</span>
<a name="l00545"></a>00545         __asm mulss xmm1, xmm0            <span class="comment">// xmm1 = f * rcpss(f)</span>
<a name="l00546"></a>00546         __asm mulss xmm1, xmm0            <span class="comment">// xmm2 = f * rcpss(f) * rcpss(f)</span>
<a name="l00547"></a>00547         __asm addss xmm0, xmm0            <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00548"></a>00548         __asm subss xmm0, xmm1            <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00549"></a>00549                                           <span class="comment">//        - f * rcpss(f) * rcpss(f)</span>
<a name="l00550"></a>00550         __asm movss rec, xmm0             <span class="comment">// return xmm0</span>
<a name="l00551"></a>00551         <span class="keywordflow">return</span> rec;
<a name="l00552"></a>00552 
<a name="l00553"></a>00553 
<a name="l00555"></a>00555         <span class="comment">// instead set f to a high value to get a return value near zero..</span>
<a name="l00556"></a>00556         <span class="comment">// -1000000000000.f.. is use minus to stay negative..</span>
<a name="l00557"></a>00557         <span class="comment">// must test&#39;s here (plane.normal dot anything ) checks on &lt;= 0.f</span>
<a name="l00558"></a>00558         <span class="comment">//u32 x = (-(AIR(f) != 0 ) &gt;&gt; 31 ) &amp; ( IR(f) ^ 0xd368d4a5 ) ^ 0xd368d4a5;</span>
<a name="l00559"></a>00559         <span class="comment">//return 1.f / FR ( x );</span>
<a name="l00560"></a>00560 
<a name="l00561"></a>00561 <span class="preprocessor">#else // no fast math</span>
<a name="l00562"></a>00562 <span class="preprocessor"></span>        <span class="keywordflow">return</span> 1.f / f;
<a name="l00563"></a>00563 <span class="preprocessor">#endif</span>
<a name="l00564"></a>00564 <span class="preprocessor"></span>    }
<a name="l00565"></a>00565 
<a name="l00566"></a>00566     <span class="comment">// calculate: 1 / x</span>
<a name="l00567"></a><a class="code" href="namespaceirr_1_1core.html#ac4402e2ec5b151212168736b8cfdd587">00567</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> <a class="code" href="namespaceirr_1_1core.html#aa01390f49052dfe07e16ee6c5233f4eb">reciprocal</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a1325b02603ad449f92c68fc640af9b28" title="64 bit floating point variable.">f64</a> f )
<a name="l00568"></a>00568     {
<a name="l00569"></a>00569         <span class="keywordflow">return</span> 1.0 / f;
<a name="l00570"></a>00570     }
<a name="l00571"></a>00571 
<a name="l00572"></a>00572 
<a name="l00573"></a>00573     <span class="comment">// calculate: 1 / x, low precision allowed</span>
<a name="l00574"></a><a class="code" href="namespaceirr_1_1core.html#ab5de17006aac4618e43d5f816ffc97c9">00574</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#ab5de17006aac4618e43d5f816ffc97c9">reciprocal_approxim</a> ( <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> f )
<a name="l00575"></a>00575     {
<a name="l00576"></a>00576 <span class="preprocessor">#if defined( IRRLICHT_FAST_MATH)</span>
<a name="l00577"></a>00577 <span class="preprocessor"></span>
<a name="l00578"></a>00578         <span class="comment">// SSE Newton-Raphson reciprocal estimate, accurate to 23 significant</span>
<a name="l00579"></a>00579         <span class="comment">// bi ts of the mantissa</span>
<a name="l00580"></a>00580         <span class="comment">// One Newtown-Raphson Iteration:</span>
<a name="l00581"></a>00581         <span class="comment">// f(i+1) = 2 * rcpss(f) - f * rcpss(f) * rcpss(f)</span>
<a name="l00582"></a>00582         <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> rec;
<a name="l00583"></a>00583         __asm rcpss xmm0, f               <span class="comment">// xmm0 = rcpss(f)</span>
<a name="l00584"></a>00584         __asm movss xmm1, f               <span class="comment">// xmm1 = f</span>
<a name="l00585"></a>00585         __asm mulss xmm1, xmm0            <span class="comment">// xmm1 = f * rcpss(f)</span>
<a name="l00586"></a>00586         __asm mulss xmm1, xmm0            <span class="comment">// xmm2 = f * rcpss(f) * rcpss(f)</span>
<a name="l00587"></a>00587         __asm addss xmm0, xmm0            <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00588"></a>00588         __asm subss xmm0, xmm1            <span class="comment">// xmm0 = 2 * rcpss(f)</span>
<a name="l00589"></a>00589                                           <span class="comment">//        - f * rcpss(f) * rcpss(f)</span>
<a name="l00590"></a>00590         __asm movss rec, xmm0             <span class="comment">// return xmm0</span>
<a name="l00591"></a>00591         <span class="keywordflow">return</span> rec;
<a name="l00592"></a>00592 
<a name="l00593"></a>00593 
<a name="l00594"></a>00594 <span class="comment">/*</span>
<a name="l00595"></a>00595 <span class="comment">        // SSE reciprocal estimate, accurate to 12 significant bits of</span>
<a name="l00596"></a>00596 <span class="comment">        f32 rec;</span>
<a name="l00597"></a>00597 <span class="comment">        __asm rcpss xmm0, f             // xmm0 = rcpss(f)</span>
<a name="l00598"></a>00598 <span class="comment">        __asm movss rec , xmm0          // return xmm0</span>
<a name="l00599"></a>00599 <span class="comment">        return rec;</span>
<a name="l00600"></a>00600 <span class="comment">*/</span>
<a name="l00601"></a>00601 <span class="comment">/*</span>
<a name="l00602"></a>00602 <span class="comment">        register u32 x = 0x7F000000 - IR ( p );</span>
<a name="l00603"></a>00603 <span class="comment">        const f32 r = FR ( x );</span>
<a name="l00604"></a>00604 <span class="comment">        return r * (2.0f - p * r);</span>
<a name="l00605"></a>00605 <span class="comment">*/</span>
<a name="l00606"></a>00606 <span class="preprocessor">#else // no fast math</span>
<a name="l00607"></a>00607 <span class="preprocessor"></span>        <span class="keywordflow">return</span> 1.f / f;
<a name="l00608"></a>00608 <span class="preprocessor">#endif</span>
<a name="l00609"></a>00609 <span class="preprocessor"></span>    }
<a name="l00610"></a>00610 
<a name="l00611"></a>00611 
<a name="l00612"></a><a class="code" href="namespaceirr_1_1core.html#ac230a392b15e3d27c6e2a07a6925a8c4">00612</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#ac230a392b15e3d27c6e2a07a6925a8c4">floor32</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x)
<a name="l00613"></a>00613     {
<a name="l00614"></a>00614 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00615"></a>00615 <span class="preprocessor"></span>        <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> h = 0.5f;
<a name="l00616"></a>00616 
<a name="l00617"></a>00617         <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00618"></a>00618 
<a name="l00619"></a>00619 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00620"></a>00620 <span class="preprocessor"></span>        __asm
<a name="l00621"></a>00621         {
<a name="l00622"></a>00622             fld x
<a name="l00623"></a>00623             fsub    h
<a name="l00624"></a>00624             fistp   t
<a name="l00625"></a>00625         }
<a name="l00626"></a>00626 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00627"></a>00627 <span class="preprocessor"></span>        __asm__ __volatile__ (
<a name="l00628"></a>00628             <span class="stringliteral">&quot;fsub %2 \n\t&quot;</span>
<a name="l00629"></a>00629             <span class="stringliteral">&quot;fistpl %0&quot;</span>
<a name="l00630"></a>00630             : <span class="stringliteral">&quot;=m&quot;</span> (t)
<a name="l00631"></a>00631             : <span class="stringliteral">&quot;t&quot;</span> (x), <span class="stringliteral">&quot;f&quot;</span> (h)
<a name="l00632"></a>00632             : <span class="stringliteral">&quot;st&quot;</span>
<a name="l00633"></a>00633             );
<a name="l00634"></a>00634 <span class="preprocessor">#else</span>
<a name="l00635"></a>00635 <span class="preprocessor"></span><span class="preprocessor">#  warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00636"></a>00636 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) floorf ( x );
<a name="l00637"></a>00637 <span class="preprocessor">#endif</span>
<a name="l00638"></a>00638 <span class="preprocessor"></span>        <span class="keywordflow">return</span> t;
<a name="l00639"></a>00639 <span class="preprocessor">#else // no fast math</span>
<a name="l00640"></a>00640 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) floorf ( x );
<a name="l00641"></a>00641 <span class="preprocessor">#endif</span>
<a name="l00642"></a>00642 <span class="preprocessor"></span>    }
<a name="l00643"></a>00643 
<a name="l00644"></a>00644 
<a name="l00645"></a><a class="code" href="namespaceirr_1_1core.html#a0fb8b4d0f177af411fdd4bd94b6779ce">00645</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#a0fb8b4d0f177af411fdd4bd94b6779ce">ceil32</a> ( <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00646"></a>00646     {
<a name="l00647"></a>00647 <span class="preprocessor">#ifdef IRRLICHT_FAST_MATH</span>
<a name="l00648"></a>00648 <span class="preprocessor"></span>        <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> h = 0.5f;
<a name="l00649"></a>00649 
<a name="l00650"></a>00650         <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00651"></a>00651 
<a name="l00652"></a>00652 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00653"></a>00653 <span class="preprocessor"></span>        __asm
<a name="l00654"></a>00654         {
<a name="l00655"></a>00655             fld x
<a name="l00656"></a>00656             fadd    h
<a name="l00657"></a>00657             fistp   t
<a name="l00658"></a>00658         }
<a name="l00659"></a>00659 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00660"></a>00660 <span class="preprocessor"></span>        __asm__ __volatile__ (
<a name="l00661"></a>00661             <span class="stringliteral">&quot;fadd %2 \n\t&quot;</span>
<a name="l00662"></a>00662             <span class="stringliteral">&quot;fistpl %0 \n\t&quot;</span>
<a name="l00663"></a>00663             : <span class="stringliteral">&quot;=m&quot;</span>(t)
<a name="l00664"></a>00664             : <span class="stringliteral">&quot;t&quot;</span>(x), <span class="stringliteral">&quot;f&quot;</span>(h)
<a name="l00665"></a>00665             : <span class="stringliteral">&quot;st&quot;</span>
<a name="l00666"></a>00666             );
<a name="l00667"></a>00667 <span class="preprocessor">#else</span>
<a name="l00668"></a>00668 <span class="preprocessor"></span><span class="preprocessor">#  warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00669"></a>00669 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) ceilf ( x );
<a name="l00670"></a>00670 <span class="preprocessor">#endif</span>
<a name="l00671"></a>00671 <span class="preprocessor"></span>        <span class="keywordflow">return</span> t;
<a name="l00672"></a>00672 <span class="preprocessor">#else // not fast math</span>
<a name="l00673"></a>00673 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) ceilf ( x );
<a name="l00674"></a>00674 <span class="preprocessor">#endif</span>
<a name="l00675"></a>00675 <span class="preprocessor"></span>    }
<a name="l00676"></a>00676 
<a name="l00677"></a>00677 
<a name="l00678"></a>00678 
<a name="l00679"></a><a class="code" href="namespaceirr_1_1core.html#ae46f57f03e9033c57c180fbe83b04cf2">00679</a>     <a class="code" href="irr_math_8h.html#a3695e51e0a187a6c49684ba3206b0d0a">REALINLINE</a> <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> <a class="code" href="namespaceirr_1_1core.html#ae46f57f03e9033c57c180fbe83b04cf2">round32</a>(<a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x)
<a name="l00680"></a>00680     {
<a name="l00681"></a>00681 <span class="preprocessor">#if defined(IRRLICHT_FAST_MATH)</span>
<a name="l00682"></a>00682 <span class="preprocessor"></span>        <a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a> t;
<a name="l00683"></a>00683 
<a name="l00684"></a>00684 <span class="preprocessor">#if defined(_MSC_VER)</span>
<a name="l00685"></a>00685 <span class="preprocessor"></span>        __asm
<a name="l00686"></a>00686         {
<a name="l00687"></a>00687             fld   x
<a name="l00688"></a>00688             fistp t
<a name="l00689"></a>00689         }
<a name="l00690"></a>00690 <span class="preprocessor">#elif defined(__GNUC__)</span>
<a name="l00691"></a>00691 <span class="preprocessor"></span>        __asm__ __volatile__ (
<a name="l00692"></a>00692             <span class="stringliteral">&quot;fistpl %0 \n\t&quot;</span>
<a name="l00693"></a>00693             : <span class="stringliteral">&quot;=m&quot;</span>(t)
<a name="l00694"></a>00694             : <span class="stringliteral">&quot;t&quot;</span>(x)
<a name="l00695"></a>00695             : <span class="stringliteral">&quot;st&quot;</span>
<a name="l00696"></a>00696             );
<a name="l00697"></a>00697 <span class="preprocessor">#else</span>
<a name="l00698"></a>00698 <span class="preprocessor"></span><span class="preprocessor">#  warn IRRLICHT_FAST_MATH not supported.</span>
<a name="l00699"></a>00699 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) <a class="code" href="namespaceirr_1_1core.html#a894a901069c34298987761c5f3d74f1f">round_</a>(x);
<a name="l00700"></a>00700 <span class="preprocessor">#endif</span>
<a name="l00701"></a>00701 <span class="preprocessor"></span>        <span class="keywordflow">return</span> t;
<a name="l00702"></a>00702 <span class="preprocessor">#else // no fast math</span>
<a name="l00703"></a>00703 <span class="preprocessor"></span>        <span class="keywordflow">return</span> (<a class="code" href="namespaceirr.html#ac66849b7a6ed16e30ebede579f9b47c6" title="32 bit signed variable.">s32</a>) <a class="code" href="namespaceirr_1_1core.html#a894a901069c34298987761c5f3d74f1f">round_</a>(x);
<a name="l00704"></a>00704 <span class="preprocessor">#endif</span>
<a name="l00705"></a>00705 <span class="preprocessor"></span>    }
<a name="l00706"></a>00706 
<a name="l00707"></a><a class="code" href="namespaceirr_1_1core.html#a944684da42c3118ebe85ec9c3f77c331">00707</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a944684da42c3118ebe85ec9c3f77c331">f32_max3</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> c)
<a name="l00708"></a>00708     {
<a name="l00709"></a>00709         <span class="keywordflow">return</span> a &gt; b ? (a &gt; c ? a : c) : (b &gt; c ? b : c);
<a name="l00710"></a>00710     }
<a name="l00711"></a>00711 
<a name="l00712"></a><a class="code" href="namespaceirr_1_1core.html#a8d7bec533c867b22d0e870236ecf4bad">00712</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#a8d7bec533c867b22d0e870236ecf4bad">f32_min3</a>(<span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> a, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> b, <span class="keyword">const</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> c)
<a name="l00713"></a>00713     {
<a name="l00714"></a>00714         <span class="keywordflow">return</span> a &lt; b ? (a &lt; c ? a : c) : (b &lt; c ? b : c);
<a name="l00715"></a>00715     }
<a name="l00716"></a>00716 
<a name="l00717"></a><a class="code" href="namespaceirr_1_1core.html#adf530866e57502da85e6a1f0c23932a2">00717</a>     <span class="keyword">inline</span> <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> <a class="code" href="namespaceirr_1_1core.html#adf530866e57502da85e6a1f0c23932a2">fract</a> ( <a class="code" href="namespaceirr.html#a0277be98d67dc26ff93b1a6a1d086b07" title="32 bit floating point variable.">f32</a> x )
<a name="l00718"></a>00718     {
<a name="l00719"></a>00719         <span class="keywordflow">return</span> x - floorf ( x );
<a name="l00720"></a>00720     }
<a name="l00721"></a>00721 
<a name="l00722"></a>00722 } <span class="comment">// end namespace core</span>
<a name="l00723"></a>00723 } <span class="comment">// end namespace irr</span>
<a name="l00724"></a>00724 
<a name="l00725"></a>00725 <span class="preprocessor">#ifndef IRRLICHT_FAST_MATH</span>
<a name="l00726"></a>00726 <span class="preprocessor"></span>    <span class="keyword">using</span> <a class="code" href="namespaceirr_1_1core.html#aff42ea2c4d80cb7b45b71d1f63c6a226">irr::core::IR</a>;
<a name="l00727"></a>00727     <span class="keyword">using</span> <a class="code" href="namespaceirr_1_1core.html#ae0940bd4032e5f10cf83b460f73571a3" title="Floating-point representation of an integer value.">irr::core::FR</a>;
<a name="l00728"></a>00728 <span class="preprocessor">#endif</span>
<a name="l00729"></a>00729 <span class="preprocessor"></span>
<a name="l00730"></a>00730 <span class="preprocessor">#endif</span>
<a name="l00731"></a>00731 <span class="preprocessor"></span>
</pre></div></div>
</div>
  <div id="nav-path" class="navpath">
    <ul>
      <li class="navelem"><a class="el" href="irr_math_8h.html">irrMath.h</a>      </li>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Defines</a></div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>


    <li class="footer">
<a href="http://irrlicht.sourceforge.net" target="_blank">Irrlicht 
Engine</a> Documentation &copy; 2003-2012 by Nikolaus Gebhardt. Generated on Tue Nov 6 2012 11:06:00 for Irrlicht 3D Engine by
<a href="http://www.doxygen.org/index.html" target="_blank">Doxygen</a> 1.7.5.1 </li>
   </ul>
 </div>


</body>
</html>