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<div id="projectname">amath
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 <span id="projectnumber">1.6.2</span>
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<a href="ceil_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* @(#)s_ceil.c 1.3 95/01/18 */</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> </div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">/*</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (c) 2015-2017 Carsten Sonne Larsen <cs@innolan.dk></span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * All rights reserved.</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> *</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Redistribution and use in source and binary forms, with or without</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * modification, are permitted provided that the following conditions</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * are met:</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * 1. Redistributions of source code must retain the above copyright</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * notice, this list of conditions and the following disclaimer.</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * 2. Redistributions in binary form must reproduce the above copyright</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * notice, this list of conditions and the following disclaimer in the</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * documentation and/or other materials provided with the distribution.</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> *</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> *</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * The origin source code can be obtained from:</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * http://www.netlib.org/fdlibm/s_ceil.c</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * </span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> */</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">/*</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> * ====================================================</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> *</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * Developed at SunSoft, a Sun Microsystems, Inc. business.</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * Permission to use, copy, modify, and distribute this</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * software is freely granted, provided that this notice</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * is preserved.</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * ====================================================</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> *</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> */</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#</span><span class="preprocessor">include</span> <a class="code" href="real_2prim_8h.html">"prim.h"</a></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div><div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a"> 46</a></span> <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a> = 1.0e300;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">/**</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> * @brief Mathematical ceiling function.</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> * @version 1.3</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> * @date 95/01/18</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * @details</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> * <pre></span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> * Return x rounded toward -inf to integral value</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> * Method:</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> * Bit twiddling.</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> * Exception:</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> * Inexact flag raised if x not equal to ceil(x).</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> * </pre></span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> * @copyright Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> * @license Developed at SunSoft, a Sun Microsystems, Inc. business. Permission</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> * to use, copy, modify, and distribute this software is freely granted,</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> * provided that this notice is preserved.</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> */</span></div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="ceil_8c.html#a1ea6d7b591132268abc2e843ababd084"> 65</a></span> <span class="keywordtype">double</span> <a class="code" href="ceil_8c.html#a1ea6d7b591132268abc2e843ababd084">ceil</a>(<span class="keywordtype">double</span> x)</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a> i0,i1,j0;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="real_2prim_8h.html#a6e60fe0e0f9f8801507e15fe2d893751">uword</a> i,j;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="real_2prim_8h.html#a6dadc713499e14ba3088a55409a18983">EXTRACT_WORDS</a>(i0,i1,x);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  j0 = ((i0>>20)&0x7ff)-0x3ff;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">if</span>(j0<20) {</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span>(j0<0) { <span class="comment">/* raise inexact if x != 0 */</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">if</span>(<a class="code" href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a>+x>0.0) { <span class="comment">/* return 0*sign(x) if |x|<1 */</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span>(i0<0) {</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  i0=0x80000000;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  i1=0;</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>((i0|i1)!=0) {</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  i0=0x3ff00000;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  i1=0;</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  i = (0x000fffff)>>j0;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span>(((i0&i)|i1)==0) <span class="keywordflow">return</span> x; <span class="comment">/* x is integral */</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">if</span>(<a class="code" href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a>+x>0.0) { <span class="comment">/* raise inexact flag */</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">if</span>(i0>0) i0 += (0x00100000)>>j0;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  i0 &= (~i);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  i1=0;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j0>51) {</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">if</span>(j0==0x400) <span class="keywordflow">return</span> x+x; <span class="comment">/* inf or NaN */</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">else</span> <span class="keywordflow">return</span> x; <span class="comment">/* x is integral */</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  i = ((<a class="code" href="real_2prim_8h.html#a6e60fe0e0f9f8801507e15fe2d893751">uword</a>)(0xffffffff))>>(j0-20);</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">if</span>((i1&i)==0) <span class="keywordflow">return</span> x; <span class="comment">/* x is integral */</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">if</span>(<a class="code" href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a>+x>0.0) { <span class="comment">/* raise inexact flag */</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span>(i0>0) {</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">if</span>(j0==20) i0+=1;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">else</span> {</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  j = i1 + (1<<(52-j0));</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// NOTICE: Is this a correct cast?</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span>((<a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a>)j<(<a class="code" href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a>)i1) i0+=1; <span class="comment">/* got a carry */</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  i1 = j;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  i1 &= (~i);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="real_2prim_8h.html#a7f681b987a25d4692229be4e0be0cdf1">INSERT_WORDS</a>(x,i0,i1);</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">return</span> x;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> }</div><div class="ttc" id="real_2prim_8h_html_a7f681b987a25d4692229be4e0be0cdf1"><div class="ttname"><a href="real_2prim_8h.html#a7f681b987a25d4692229be4e0be0cdf1">INSERT_WORDS</a></div><div class="ttdeci">#define INSERT_WORDS(d, ix0, ix1)</div><div class="ttdoc">Set a double from two 32 bit ints. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00187">prim.h:187</a></div></div>
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<div class="ttc" id="ceil_8c_html_acbd466133274923cc0785707fbdeea9a"><div class="ttname"><a href="ceil_8c.html#acbd466133274923cc0785707fbdeea9a">huge</a></div><div class="ttdeci">static const double huge</div><div class="ttdef"><b>Definition:</b> <a href="ceil_8c_source.html#l00046">ceil.c:46</a></div></div>
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<div class="ttc" id="ceil_8c_html_a1ea6d7b591132268abc2e843ababd084"><div class="ttname"><a href="ceil_8c.html#a1ea6d7b591132268abc2e843ababd084">ceil</a></div><div class="ttdeci">double ceil(double x)</div><div class="ttdoc">Mathematical ceiling function. </div><div class="ttdef"><b>Definition:</b> <a href="ceil_8c_source.html#l00065">ceil.c:65</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_a6dadc713499e14ba3088a55409a18983"><div class="ttname"><a href="real_2prim_8h.html#a6dadc713499e14ba3088a55409a18983">EXTRACT_WORDS</a></div><div class="ttdeci">#define EXTRACT_WORDS(ix0, ix1, d)</div><div class="ttdoc">Get two 32 bit ints from a double. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00153">prim.h:153</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_ae91287c8a5f73a8a22a100f50dc4de77"><div class="ttname"><a href="real_2prim_8h.html#ae91287c8a5f73a8a22a100f50dc4de77">sword</a></div><div class="ttdeci">signed int sword</div><div class="ttdoc">32 bit signed integer. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00107">prim.h:107</a></div></div>
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<div class="ttc" id="real_2prim_8h_html_a6e60fe0e0f9f8801507e15fe2d893751"><div class="ttname"><a href="real_2prim_8h.html#a6e60fe0e0f9f8801507e15fe2d893751">uword</a></div><div class="ttdeci">unsigned int uword</div><div class="ttdoc">32 bit unsigned integer. </div><div class="ttdef"><b>Definition:</b> <a href="real_2prim_8h_source.html#l00101">prim.h:101</a></div></div>
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