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<p class=ab style='margin-left:20.0pt;text-indent:-20.0pt'><span
style='font-family:黑体'>程序</span><span lang=EN-US>11-5 linux/kernel/math/add.c</span></p>
<div class=a align=center style='text-align:center'><span lang=EN-US>
<hr size=4 width="100%" align=center>
</span></div>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>1</span></u> <b><i>/*</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>2</span></u> <b><i>&nbsp;*
linux/kernel/math/add.c</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>3</span></u> <b><i>&nbsp;*</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>4</span></u> <b><i>&nbsp;*
(C) 1991 Linus Torvalds</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>5</span></u> <b><i>&nbsp;*/</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>6</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>7</span></u> <b><i>/*</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>8</span></u> <b><i>&nbsp;*
temporary real addition routine.</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp; <u><span style='color:blue'>9</span></u> <b><i>&nbsp;*</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>10</span></u> <b><i>&nbsp;*
NOTE! These aren't exact: they are only 62 bits wide, and don't do</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>11</span></u> <b><i>&nbsp;*
correct rounding. Fast hack. The reason is that we shift right the</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>12</span></u> <b><i>&nbsp;*
values by two, in order not to have overflow (1 bit), and to be able</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>13</span></u> <b><i>&nbsp;*
to move the sign into the mantissa (1 bit). Much simpler algorithms,</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>14</span></u> <b><i>&nbsp;*
and 62 bits (61 really - no rounding) accuracy is usually enough. The</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>15</span></u> <b><i>&nbsp;*
only time you should notice anything weird is when adding 64-bit</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>16</span></u> <b><i>&nbsp;*
integers together. When using doubles (52 bits accuracy), the</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>17</span></u> <b><i>&nbsp;*
61-bit accuracy never shows at all.</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>18</span></u> <b><i>&nbsp;*/</i></b></span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; /* </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>临时实数加法子程序。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>注意! 这些并不精确:它们只有<span
lang=EN-US>62</span>比特宽度,并且不能进行正确地舍入操作。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>这些仅是草就之作。原因是为了不会溢出(<span
lang=EN-US>1</span>比特),我们把值右移了<span lang=EN-US>2</span>位,</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>并且使得符号位(<span
lang=EN-US>1</span>比特)能够移入尾数中。这是非常简单的算法,而且<span lang=EN-US>62</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>(实际上是<span
lang=EN-US>61</span><span lang=EN-US> - </span>没有舍入)的精度通常也足够了。只有当你把<span
lang=EN-US>64</span>位的整数</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>相加时才会发觉一些奇怪的问题。当使用双精度(<span
lang=EN-US>52</span>比特精度)数据时,是永</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; * </span>远不可能超过<span
lang=EN-US>61</span>比特精度的。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp;&nbsp; */</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>19</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>20</span></u>
#include &lt;linux/math_emu.h&gt; // </span>协处理器头文件。定义临时实数结构和<span lang=EN-US>387</span>寄存器操作宏等。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>21</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>求一个数的负数(二进制补码)表示。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>把临时实数尾数(有效数)取反后再加<span
lang=EN-US>1</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>参数<span lang=EN-US>a</span>是临时实数结构。其中<span
lang=EN-US>a</span><span lang=EN-US>b</span>字段组合是实数的有效数。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>22</span></u>
#define <u><span style='color:blue'>NEGINT</span></u>(a) \</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>23</span></u>
__asm__(<i>&quot;notl %0 ; notl %1 ; addl $1,%0 ; adcl $0,%1&quot;</i> \</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>24</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;=r&quot;</i> (a-&gt;a),<i>&quot;=r&quot;</i> (a-&gt;b) \</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>25</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;&quot;</i> (a-&gt;a),<i>&quot;1&quot;</i> (a-&gt;b))</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>26</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>尾数符号化。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>即把临时实数变换成指数和整数表示形式,以便于仿真运算。因此我们这里称其为仿真格式。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>27</span></u>
static void <u><span style='color:blue'>signify</span></u>(<u><span
style='color:blue'>temp_real</span></u> * a)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>28</span></u> {</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span><span lang=EN-US>64</span>位二进制尾数右移<span
lang=EN-US>2</span>位(因此指数需要加<span lang=EN-US>2</span>)。因为指数字段<span lang=EN-US>exponent</span>的最高比特位是</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>符号位,所以若指数值小于零,说明该数是负数。于是则把尾数用补码表示(取负)。然后把</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>指数取正值。此时尾数中不仅包含移过<span
lang=EN-US>2</span>位的有效数,而且还包含数值的符号位。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // 30</span>行上:<span lang=EN-US>%0
- a-&gt;a</span><span lang=EN-US>%1 - a-&gt;b</span>。汇编指令“<span lang=EN-US>shrdl
$2, %1, %0<span
lang=EN-US><span lang=EN-US></span></span><span lang=EN-US>执行双精度64</span></span>位)右移,</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>即把组合尾数<span
lang=EN-US>&lt;b,a&gt;</span>右移<span lang=EN-US>2</span>位。由于该移动操作不会改变<span
lang=EN-US>%1</span><span lang=EN-US>a-&gt;b</span>)中的值,因此还需要单独</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>对其右移<span lang=EN-US>2</span>位。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>29</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent += 2;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>30</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
__asm__(<i>&quot;shrdl $2,%1,%0 ; shrl $2,%1&quot;</i>&nbsp;&nbsp; // </span>使用双精度指令把尾数右移<span
lang=EN-US>2</span>位。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>31</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;=r&quot;</i> (a-&gt;a),<i>&quot;=r&quot;</i> (a-&gt;b)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>32</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;&quot;</i> (a-&gt;a),<i>&quot;1&quot;</i> (a-&gt;b));</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>33</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (a-&gt;exponent &lt; 0)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>是负数,则尾数用补码表示(取负值)。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>34</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>NEGINT</span></u>(a);</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>35</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent &amp;= 0x7fff;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>去掉符号位(若有)。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>36</span></u> }</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>37</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>尾数非符号化。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>将仿真格式转换为临时实数格式。即把指数和整数表示的实数转换为临时实数格式。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>38</span></u>
static void <u><span style='color:blue'>unsignify</span></u>(<u><span
style='color:blue'>temp_real</span></u> * a)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>39</span></u> {</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>对于值为<span lang=EN-US>0</span>的数不用处理,直接返回。否则,我们先复位临时实数格式的符号位。然后判断</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>尾数的高位<span lang=EN-US>long</span>字段<span
lang=EN-US>a-&gt;b</span>是否带有符号位。若有,则在 <span lang=EN-US>exponent </span>字段添加符号位,同时</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>把尾数用无符号数形式表示(取补)。最后对尾数进行规格化处理,同时指数值作相应递减。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>即执行左移操作,使得尾数最高有效位不为<span
lang=EN-US>0</span>(最后<span lang=EN-US>a-&gt;b</span>值表现为负值)。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>40</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (!(a-&gt;a || a-&gt;b)) {&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
&nbsp;&nbsp;&nbsp;&nbsp;// </span>若值为<span lang=EN-US>0</span>就返回。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>41</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent = 0;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>42</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
return;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>43</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>44</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent &amp;= 0x7fff;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>去掉符号位(若有)。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>45</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (a-&gt;b &lt; 0) {&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>是负数,则尾数取正值。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>46</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>NEGINT</span></u>(a);</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>47</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent |= 0x8000;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; // </span>临时实数添加置符号位。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>48</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>49</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
while (a-&gt;b &gt;= 0) {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>50</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a-&gt;exponent--;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>对尾数进行规格化处理。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>51</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
__asm__(<i>&quot;addl %0,%0 ; adcl %1,%1&quot;</i></span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>52</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;=r&quot;</i> (a-&gt;a),<i>&quot;=r&quot;</i> (a-&gt;b)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>53</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;&quot;</i> (a-&gt;a),<i>&quot;1&quot;</i> (a-&gt;b));</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>54</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>55</span></u> }</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>56</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>仿真浮点加法指令运算。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>临时实数参数 <span
lang=EN-US>src1 + src2 </span><span lang=EN-US style='font-family:Wingdings'>è</span><span
lang=EN-US> result</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>57</span></u>
void <u><span style='color:blue'>fadd</span></u>(const <u><span
style='color:blue'>temp_real</span></u> * src1, const <u><span
style='color:blue'>temp_real</span></u> * src2, <u><span style='color:blue'>temp_real</span></u>
* <u><span style='color:blue'>result</span></u>)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>58</span></u> {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>59</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>temp_real</span></u> a,b;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>60</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
int x1,x2,<u><span style='color:blue'>shift</span></u>;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>61</span></u> </span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>首先取两个数的指数值<span
lang=EN-US>x1</span><span lang=EN-US>x2</span>(去掉符号位)。然后让变量<span lang=EN-US>a</span>等于其中最大值,<span
lang=EN-US>shift</span>为指数</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>差值(即相差<span
lang=EN-US>2</span>的倍数值)。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>62</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
x1 = src1-&gt;exponent &amp; 0x7fff;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>63</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
x2 = src2-&gt;exponent &amp; 0x7fff;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>64</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (x1 &gt; x2) {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>65</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a = *src1;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>66</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
b = *src2;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>67</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>shift</span></u> = x1-x2;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>68</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
} else {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span
style='color:blue'>69</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
a = *src2;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>70</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
b = *src1;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>71</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>shift</span></u> = x2-x1;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>72</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>若两者相差太大,大于等于<span
lang=EN-US>2</span><span lang=EN-US>64</span>次方,则我们可以忽略小的那个数,即<span
lang=EN-US>b</span>值。于是直接返</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span><span lang=EN-US>a</span>值即可。否则,若相差大于等于<span
lang=EN-US>2</span><span lang=EN-US>32</span>次方,那么我们可以忽略小值<span lang=EN-US>b</span>中的低<span
lang=EN-US>32</span>位值。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>于是我们把<span lang=EN-US>
b</span>的高<span lang=EN-US>long</span>字段值<span lang=EN-US> b.b</span>右移<span
lang=EN-US>32</span>位,即放到<span lang=EN-US>b.a</span>中。然后把<span lang=EN-US>b</span>的指数值相应地增</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span><span lang=EN-US>32</span>次方。即指数差值减去<span
lang=EN-US>32</span>。这样调整之后,相加的两个数的尾数基本上落在相同区域中。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>73</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (<u><span style='color:blue'>shift</span></u> &gt;= 64) {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>74</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
*<u><span style='color:blue'>result</span></u> = a;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>75</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
return;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>76</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>77</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
if (<u><span style='color:blue'>shift</span></u> &gt;= 32) {</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>78</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
b.a = b.b;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>79</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
b.b = 0;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>80</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>shift</span></u> -= 32;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>81</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
}</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>接着再进行细致地调整,以将相加两者调整成相同。调整方法是把小值<span
lang=EN-US>b</span>的尾数右移<span lang=EN-US>shift</span></p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>各比特位。这样两者的指数相同,处于同一个数量级下。我们就可以对尾数进行相加运算了。</p>
<p class=a><span lang=EN-US>&nbsp;&nbsp;&nbsp; // </span>相加之前我们需要先把它们转换成仿真运算格式。在加法运算后再变换会临时实数格式。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>82</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
__asm__(<i>&quot;shrdl %4,%1,%0 ; shrl %4,%1&quot;</i>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>双精度(<span lang=EN-US>64</span>位)右移。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>83</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;=r&quot;</i> (b.a),<i>&quot;=r&quot;</i> (b.b)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>84</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;&quot;</i> (b.a),<i>&quot;1&quot;</i> (b.b),<i>&quot;c&quot;</i>
((char) <u><span style='color:blue'>shift</span></u>));</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>85</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>signify</span></u>(&amp;a);&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>变换格式。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>86</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>signify</span></u>(&amp;b);</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>87</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
__asm__(<i>&quot;addl %4,%0 ; adcl %5,%1&quot;</i>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>执行加法运算。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>88</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;=r&quot;</i> (a.a),<i>&quot;=r&quot;</i> (a.b)</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>89</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
:<i>&quot;&quot;</i> (a.a),<i>&quot;1&quot;</i> (a.b),<i>&quot;g&quot;</i>
(b.a),<i>&quot;g&quot;</i> (b.b));</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>90</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
<u><span style='color:blue'>unsignify</span></u>(&amp;a);&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
// </span>再变换会临时实数格式。</p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>91</span></u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
*<u><span style='color:blue'>result</span></u> = a;</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>92</span></u> }</span></p>
<p class=a><span lang=EN-US>&nbsp;<u><span style='color:blue'>93</span></u> </span></p>
<div class=a align=center style='text-align:center'><span lang=EN-US>
<hr size=4 width="100%" align=center>
</span></div>
<p class=MsoNormal><span lang=EN-US>&nbsp;</span></p>
<p class=MsoNormal><span lang=EN-US>&nbsp;</span></p>
</div>
</body>
</html>