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<div class="title">jas_math.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (c) 1999-2000 Image Power, Inc. and the University of</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * British Columbia.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (c) 2001-2002 Michael David Adams.</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> </div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">/* __START_OF_JASPER_LICENSE__</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * JasPer License Version 2.0</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * Copyright (c) 2001-2006 Michael David Adams</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * Copyright (c) 1999-2000 Image Power, Inc.</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * Copyright (c) 1999-2000 The University of British Columbia</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"> * All rights reserved.</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * Permission is hereby granted, free of charge, to any person (the</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * "User") obtaining a copy of this software and associated documentation</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * files (the "Software"), to deal in the Software without restriction,</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * including without limitation the rights to use, copy, modify, merge,</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * publish, distribute, and/or sell copies of the Software, and to permit</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * persons to whom the Software is furnished to do so, subject to the</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * following conditions:</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> * 1. The above copyright notices and this permission notice (which</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * includes the disclaimer below) shall be included in all copies or</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * substantial portions of the Software.</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"> * 2. The name of a copyright holder shall not be used to endorse or</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> * promote products derived from the Software without specific prior</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> * written permission.</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"> * THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> * LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> * INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> * FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> * THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY.</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> * EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> * BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> * PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> * GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> * ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> * SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES,</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> * AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> * SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> * THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH,</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> * PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> * RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> * EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES.</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> * __END_OF_JASPER_LICENSE__</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</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"> 65</span> <span class="comment"> * Math-Related Code</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> * $Id$</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor">#ifndef JAS_MATH_H</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor">#define JAS_MATH_H</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment">/******************************************************************************\</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment">* Includes</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment">\******************************************************************************/</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment">/* The configuration header file should be included first. */</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor">#include <jasper/jas_config.h></span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor">#include <jasper/jas_types.h></span></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> <span class="preprocessor">#include <assert.h></span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor">#include <stdio.h></span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor">#include <string.h></span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="preprocessor">#include <stdint.h></span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="preprocessor">#endif</span></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> <span class="comment">/******************************************************************************\</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment">* Macros</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">\******************************************************************************/</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="preprocessor">#define JAS_KIBI JAS_CAST(size_t, 1024)</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor">#define JAS_MEBI (JAS_KIBI * JAS_KIBI)</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">/* Compute the absolute value. */</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="preprocessor">#define JAS_ABS(x) \</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="preprocessor"> (((x) >= 0) ? (x) : (-(x)))</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment">/* Compute the minimum of two values. */</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="preprocessor">#define JAS_MIN(x, y) \</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor"> (((x) < (y)) ? (x) : (y))</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment">/* Compute the maximum of two values. */</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="preprocessor">#define JAS_MAX(x, y) \</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor"> (((x) > (y)) ? (x) : (y))</span></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> <span class="comment">/* Compute the remainder from division (where division is defined such</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> that the remainder is always nonnegative). */</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor">#define JAS_MOD(x, y) \</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="preprocessor"> (((x) < 0) ? (((-x) % (y)) ? ((y) - ((-(x)) % (y))) : (0)) : ((x) % (y)))</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment">/* Compute the integer with the specified number of least significant bits</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> set to one. */</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="preprocessor">#define JAS_ONES(n) \</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="preprocessor"> ((1 << (n)) - 1)</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">/******************************************************************************\</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment">*</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment">\******************************************************************************/</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> JAS_ATTRIBUTE_DISABLE_USAN</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">int</span> jas_int_asr(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="comment">// Ensure that the shift of a negative value appears to behave as a</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">// signed arithmetic shift.</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  assert(((-1) >> 1) == -1);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  assert(n >= 0);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// The behavior is undefined when x is negative. */</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="comment">// We tacitly assume the behavior is equivalent to a signed</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// arithmetic right shift.</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">return</span> x >> n;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> }</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> JAS_ATTRIBUTE_DISABLE_USAN</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">int</span> jas_int_asl(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">// Ensure that the shift of a negative value appears to behave as a</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">// signed arithmetic shift.</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  assert(((-1) << 1) == -2);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  assert(n >= 0);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// The behavior is undefined when x is negative. */</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// We tacitly assume the behavior is equivalent to a signed</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// arithmetic left shift.</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">return</span> x << n;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> JAS_ATTRIBUTE_DISABLE_USAN</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">int</span> jas_fast32_asr(int_fast32_t x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> {</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// Ensure that the shift of a negative value appears to behave as a</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">// signed arithmetic shift.</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  assert(((JAS_CAST(int_fast32_t, -1)) >> 1) == JAS_CAST(int_fast32_t, -1));</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  assert(n >= 0);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">// The behavior is undefined when x is negative. */</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="comment">// We tacitly assume the behavior is equivalent to a signed</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// arithmetic right shift.</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">return</span> x >> n;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> JAS_ATTRIBUTE_DISABLE_USAN</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">int</span> jas_fast32_asl(int_fast32_t x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="comment">// Ensure that the shift of a negative value appears to behave as a</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="comment">// signed arithmetic shift.</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  assert(((JAS_CAST(int_fast32_t, -1)) << 1) == JAS_CAST(int_fast32_t, -2));</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  assert(n >= 0);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">// The behavior is undefined when x is negative. */</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// We tacitly assume the behavior is equivalent to a signed</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// arithmetic left shift.</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">return</span> x << n;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> }</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment">/******************************************************************************\</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">* Safe integer arithmetic (i.e., with overflow checking).</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">\******************************************************************************/</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment">/* Compute the product of two size_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_size_mul(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> y, <span class="keywordtype">size_t</span> *result)</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="comment">/* Check if overflow would occur */</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">if</span> (x && y > SIZE_MAX / x) {</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">/* Overflow would occur. */</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  *result = x * y;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">/* Compute the product of three size_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_size_mul3(<span class="keywordtype">size_t</span> a, <span class="keywordtype">size_t</span> b, <span class="keywordtype">size_t</span> c,</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordtype">size_t</span> *result)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordtype">size_t</span> tmp;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">if</span> (!jas_safe_size_mul(a, b, &tmp) ||</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  !jas_safe_size_mul(tmp, c, &tmp)) {</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  *result = tmp;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  }</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment">/* Compute the sum of two size_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_size_add(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> y, <span class="keywordtype">size_t</span> *result)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> {</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">if</span> (y > SIZE_MAX - x) {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  *result = x + y;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment">/* Compute the difference of two size_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_size_sub(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> y, <span class="keywordtype">size_t</span> *result)</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">if</span> (y > x) {</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  *result = x - y;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  }</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment">/* Compute the product of two int_fast32_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_intfast32_mul(int_fast32_t x, int_fast32_t y,</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  int_fast32_t *result)</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> {</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">if</span> (x > 0) {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">/* x is positive */</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keywordflow">if</span> (y > 0) {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="comment">/* x and y are positive */</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">if</span> (x > INT_FAST32_MAX / y) {</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  }</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="comment">/* x positive, y nonpositive */</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">if</span> (y < INT_FAST32_MIN / x) {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="comment">/* x is nonpositive */</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">if</span> (y > 0) {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="comment">/* x is nonpositive, y is positive */</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">if</span> (x < INT_FAST32_MIN / y) {</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  } <span class="keywordflow">else</span> { <span class="comment">/* x and y are nonpositive */</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">if</span> (x != 0 && y < INT_FAST32_MAX / x) {</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  *result = x * y;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  }</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> }</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment">/* Compute the product of three int_fast32_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_intfast32_mul3(int_fast32_t a, int_fast32_t b,</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  int_fast32_t c, int_fast32_t *result)</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> {</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  int_fast32_t tmp;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">if</span> (!jas_safe_intfast32_mul(a, b, &tmp) ||</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  !jas_safe_intfast32_mul(tmp, c, &tmp)) {</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  }</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  *result = tmp;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> }</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment">/* Compute the sum of two int_fast32_t integers with overflow checking. */</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">bool</span> jas_safe_intfast32_add(int_fast32_t x, int_fast32_t y,</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  int_fast32_t *result)</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> {</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">if</span> ((y > 0 && x > INT_FAST32_MAX - y) ||</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  (y < 0 && x < INT_FAST32_MIN - y)) {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  }</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">if</span> (result) {</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  *result = x + y;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> }</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="preprocessor">#endif</span></div>
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