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@@ -3,7 +3,7 @@
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@@ -135,28 +149,28 @@ $(function(){ initResizable(false); });
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">*/</span></div>
<div class="foldopen" id="foldopen00043" data-start="{" data-end="}">
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="expm1f_8h.html#adf20e03405fba634ca8d01acac24592e"> 43</a></span><span class="keywordtype">float</span> <a class="code hl_function" href="expm1f_8h.html#adf20e03405fba634ca8d01acac24592e">expm1f_scaled_unchecked</a>(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">float</span> <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, j, r, s, t, <a class="code hl_variable" href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a>, v, x, y;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">float</span> f, j, r, s, t, u, v, x, y;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">int</span> i;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// exp(a) = 2**i * exp(f); i = rintf (a / log(2))</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> j = fma(1.442695f, a, 12582912.f); <span class="comment">// 0x1.715476p0, 0x1.8p23</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> j = j - 12582912.0f; <span class="comment">// 0x1.8p23</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> i = (int)j;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a> = fma(j, -6.93145752e-1f, a);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> f = fma(j, -6.93145752e-1f, a);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// approximate r = exp(f)-1 on interval [-log(2)/2, +log(2)/2]</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> s = <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a> * <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> s = f * f;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (a == 0.0f)</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> s = a; <span class="comment">// ensure -0 is passed through</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// err = 0.997458 ulp1 = 11081805</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> r = 1.97350979e-4f; <span class="comment">// 0x1.9de000p-13</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> r = fma(r, <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, 1.39309070e-3f); <span class="comment">// 0x1.6d30bcp-10</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> r = fma(r, <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, 8.33343994e-3f); <span class="comment">// 0x1.1111f6p-7</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> r = fma(r, <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, 4.16668020e-2f); <span class="comment">// 0x1.55559ep-5</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> r = fma(r, <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, 1.66666716e-1f); <span class="comment">// 0x1.55555cp-3</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> r = fma(r, <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>, 4.99999970e-1f); <span class="comment">// 0x1.fffffep-2</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_variable" href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a> = (j == 1) ? (<a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a> + 0.5f) : <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> v = fma(r, s, <a class="code hl_variable" href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a>);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> r = fma(r, f, 1.39309070e-3f); <span class="comment">// 0x1.6d30bcp-10</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> r = fma(r, f, 8.33343994e-3f); <span class="comment">// 0x1.1111f6p-7</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> r = fma(r, f, 4.16668020e-2f); <span class="comment">// 0x1.55559ep-5</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> r = fma(r, f, 1.66666716e-1f); <span class="comment">// 0x1.55555cp-3</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> r = fma(r, f, 4.99999970e-1f); <span class="comment">// 0x1.fffffep-2</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> u = (j == 1) ? (f + 0.5f) : f;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> v = fma(r, s, u);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> s = 0.5f * b;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> t = ldexp(s, i);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> y = t - s;</div>
@@ -187,13 +201,14 @@ $(function(){ initResizable(false); });
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<div class="ttc" id="aexpm1f_8h_html_a87f66d30e185950f42ce3641783cdc40"><div class="ttname"><a href="expm1f_8h.html#a87f66d30e185950f42ce3641783cdc40">expm1f</a></div><div class="ttdeci">float expm1f(float a)</div><div class="ttdef"><b>Definition</b> expm1f.h:80</div></div>
<div class="ttc" id="aexpm1f_8h_html_adf20e03405fba634ca8d01acac24592e"><div class="ttname"><a href="expm1f_8h.html#adf20e03405fba634ca8d01acac24592e">expm1f_scaled_unchecked</a></div><div class="ttdeci">float expm1f_scaled_unchecked(float a, float b)</div><div class="ttdef"><b>Definition</b> expm1f.h:43</div></div>
<div class="ttc" id="atypes_2bf16_8h_html_aa21e554721eddcf127b7fcfa7fdc56bd"><div class="ttname"><a href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a></div><div class="ttdeci">uint32_t u</div><div class="ttdef"><b>Definition</b> bf16.h:17</div></div>
<div class="ttc" id="atypes_2bf16_8h_html_af900396d7b72ff2a7002e8befe8cf8f1"><div class="ttname"><a href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a></div><div class="ttdeci">float f</div><div class="ttdef"><b>Definition</b> bf16.h:16</div></div>
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