<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/Users/erlendbasso/.cargo/registry/src/github.com-1ecc6299db9ec823/simba-0.8.0/src/simd/auto_simd_impl.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>auto_simd_impl.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-6827029ac823cab7.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-ebce58d0a40c3431.css"><link rel="stylesheet" disabled href="../../../static.files/dark-f23faae4a2daf9a6.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-8af5e100b21cd173.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="../../../static.files/source-script-5cf2e01a42cc9858.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../static.files/main-c55e1eb52e1886b4.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../simba/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><a href="#1" id="1">1</a>
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<a href="#932" id="932">932</a>
<a href="#933" id="933">933</a>
<a href="#934" id="934">934</a>
<a href="#935" id="935">935</a>
<a href="#936" id="936">936</a>
<a href="#937" id="937">937</a>
<a href="#938" id="938">938</a>
<a href="#939" id="939">939</a>
<a href="#940" id="940">940</a>
<a href="#941" id="941">941</a>
<a href="#942" id="942">942</a>
<a href="#943" id="943">943</a>
<a href="#944" id="944">944</a>
<a href="#945" id="945">945</a>
<a href="#946" id="946">946</a>
<a href="#947" id="947">947</a>
<a href="#948" id="948">948</a>
<a href="#949" id="949">949</a>
<a href="#950" id="950">950</a>
<a href="#951" id="951">951</a>
<a href="#952" id="952">952</a>
<a href="#953" id="953">953</a>
<a href="#954" id="954">954</a>
<a href="#955" id="955">955</a>
<a href="#956" id="956">956</a>
<a href="#957" id="957">957</a>
<a href="#958" id="958">958</a>
<a href="#959" id="959">959</a>
<a href="#960" id="960">960</a>
<a href="#961" id="961">961</a>
<a href="#962" id="962">962</a>
<a href="#963" id="963">963</a>
<a href="#964" id="964">964</a>
<a href="#965" id="965">965</a>
<a href="#966" id="966">966</a>
<a href="#967" id="967">967</a>
<a href="#968" id="968">968</a>
<a href="#969" id="969">969</a>
<a href="#970" id="970">970</a>
<a href="#971" id="971">971</a>
<a href="#972" id="972">972</a>
<a href="#973" id="973">973</a>
<a href="#974" id="974">974</a>
<a href="#975" id="975">975</a>
<a href="#976" id="976">976</a>
<a href="#977" id="977">977</a>
<a href="#978" id="978">978</a>
<a href="#979" id="979">979</a>
<a href="#980" id="980">980</a>
<a href="#981" id="981">981</a>
<a href="#982" id="982">982</a>
<a href="#983" id="983">983</a>
<a href="#984" id="984">984</a>
<a href="#985" id="985">985</a>
<a href="#986" id="986">986</a>
<a href="#987" id="987">987</a>
<a href="#988" id="988">988</a>
<a href="#989" id="989">989</a>
<a href="#990" id="990">990</a>
<a href="#991" id="991">991</a>
<a href="#992" id="992">992</a>
<a href="#993" id="993">993</a>
<a href="#994" id="994">994</a>
<a href="#995" id="995">995</a>
<a href="#996" id="996">996</a>
<a href="#997" id="997">997</a>
<a href="#998" id="998">998</a>
<a href="#999" id="999">999</a>
<a href="#1000" id="1000">1000</a>
<a href="#1001" id="1001">1001</a>
<a href="#1002" id="1002">1002</a>
<a href="#1003" id="1003">1003</a>
<a href="#1004" id="1004">1004</a>
<a href="#1005" id="1005">1005</a>
<a href="#1006" id="1006">1006</a>
<a href="#1007" id="1007">1007</a>
<a href="#1008" id="1008">1008</a>
<a href="#1009" id="1009">1009</a>
<a href="#1010" id="1010">1010</a>
<a href="#1011" id="1011">1011</a>
<a href="#1012" id="1012">1012</a>
<a href="#1013" id="1013">1013</a>
<a href="#1014" id="1014">1014</a>
<a href="#1015" id="1015">1015</a>
<a href="#1016" id="1016">1016</a>
<a href="#1017" id="1017">1017</a>
<a href="#1018" id="1018">1018</a>
<a href="#1019" id="1019">1019</a>
<a href="#1020" id="1020">1020</a>
<a href="#1021" id="1021">1021</a>
<a href="#1022" id="1022">1022</a>
<a href="#1023" id="1023">1023</a>
<a href="#1024" id="1024">1024</a>
<a href="#1025" id="1025">1025</a>
<a href="#1026" id="1026">1026</a>
<a href="#1027" id="1027">1027</a>
<a href="#1028" id="1028">1028</a>
<a href="#1029" id="1029">1029</a>
<a href="#1030" id="1030">1030</a>
<a href="#1031" id="1031">1031</a>
<a href="#1032" id="1032">1032</a>
<a href="#1033" id="1033">1033</a>
<a href="#1034" id="1034">1034</a>
<a href="#1035" id="1035">1035</a>
<a href="#1036" id="1036">1036</a>
<a href="#1037" id="1037">1037</a>
<a href="#1038" id="1038">1038</a>
<a href="#1039" id="1039">1039</a>
<a href="#1040" id="1040">1040</a>
<a href="#1041" id="1041">1041</a>
<a href="#1042" id="1042">1042</a>
<a href="#1043" id="1043">1043</a>
<a href="#1044" id="1044">1044</a>
<a href="#1045" id="1045">1045</a>
<a href="#1046" id="1046">1046</a>
<a href="#1047" id="1047">1047</a>
<a href="#1048" id="1048">1048</a>
<a href="#1049" id="1049">1049</a>
<a href="#1050" id="1050">1050</a>
<a href="#1051" id="1051">1051</a>
<a href="#1052" id="1052">1052</a>
<a href="#1053" id="1053">1053</a>
<a href="#1054" id="1054">1054</a>
<a href="#1055" id="1055">1055</a>
<a href="#1056" id="1056">1056</a>
<a href="#1057" id="1057">1057</a>
<a href="#1058" id="1058">1058</a>
<a href="#1059" id="1059">1059</a>
<a href="#1060" id="1060">1060</a>
<a href="#1061" id="1061">1061</a>
<a href="#1062" id="1062">1062</a>
<a href="#1063" id="1063">1063</a>
<a href="#1064" id="1064">1064</a>
<a href="#1065" id="1065">1065</a>
<a href="#1066" id="1066">1066</a>
<a href="#1067" id="1067">1067</a>
<a href="#1068" id="1068">1068</a>
<a href="#1069" id="1069">1069</a>
<a href="#1070" id="1070">1070</a>
<a href="#1071" id="1071">1071</a>
<a href="#1072" id="1072">1072</a>
<a href="#1073" id="1073">1073</a>
<a href="#1074" id="1074">1074</a>
<a href="#1075" id="1075">1075</a>
<a href="#1076" id="1076">1076</a>
<a href="#1077" id="1077">1077</a>
<a href="#1078" id="1078">1078</a>
<a href="#1079" id="1079">1079</a>
<a href="#1080" id="1080">1080</a>
<a href="#1081" id="1081">1081</a>
<a href="#1082" id="1082">1082</a>
<a href="#1083" id="1083">1083</a>
<a href="#1084" id="1084">1084</a>
<a href="#1085" id="1085">1085</a>
<a href="#1086" id="1086">1086</a>
<a href="#1087" id="1087">1087</a>
<a href="#1088" id="1088">1088</a>
<a href="#1089" id="1089">1089</a>
<a href="#1090" id="1090">1090</a>
<a href="#1091" id="1091">1091</a>
<a href="#1092" id="1092">1092</a>
<a href="#1093" id="1093">1093</a>
<a href="#1094" id="1094">1094</a>
<a href="#1095" id="1095">1095</a>
<a href="#1096" id="1096">1096</a>
<a href="#1097" id="1097">1097</a>
<a href="#1098" id="1098">1098</a>
<a href="#1099" id="1099">1099</a>
<a href="#1100" id="1100">1100</a>
<a href="#1101" id="1101">1101</a>
<a href="#1102" id="1102">1102</a>
<a href="#1103" id="1103">1103</a>
<a href="#1104" id="1104">1104</a>
<a href="#1105" id="1105">1105</a>
<a href="#1106" id="1106">1106</a>
<a href="#1107" id="1107">1107</a>
<a href="#1108" id="1108">1108</a>
<a href="#1109" id="1109">1109</a>
<a href="#1110" id="1110">1110</a>
<a href="#1111" id="1111">1111</a>
<a href="#1112" id="1112">1112</a>
<a href="#1113" id="1113">1113</a>
<a href="#1114" id="1114">1114</a>
<a href="#1115" id="1115">1115</a>
<a href="#1116" id="1116">1116</a>
<a href="#1117" id="1117">1117</a>
<a href="#1118" id="1118">1118</a>
<a href="#1119" id="1119">1119</a>
<a href="#1120" id="1120">1120</a>
<a href="#1121" id="1121">1121</a>
<a href="#1122" id="1122">1122</a>
<a href="#1123" id="1123">1123</a>
<a href="#1124" id="1124">1124</a>
<a href="#1125" id="1125">1125</a>
<a href="#1126" id="1126">1126</a>
<a href="#1127" id="1127">1127</a>
<a href="#1128" id="1128">1128</a>
<a href="#1129" id="1129">1129</a>
<a href="#1130" id="1130">1130</a>
<a href="#1131" id="1131">1131</a>
<a href="#1132" id="1132">1132</a>
<a href="#1133" id="1133">1133</a>
<a href="#1134" id="1134">1134</a>
<a href="#1135" id="1135">1135</a>
<a href="#1136" id="1136">1136</a>
<a href="#1137" id="1137">1137</a>
<a href="#1138" id="1138">1138</a>
<a href="#1139" id="1139">1139</a>
<a href="#1140" id="1140">1140</a>
<a href="#1141" id="1141">1141</a>
<a href="#1142" id="1142">1142</a>
<a href="#1143" id="1143">1143</a>
<a href="#1144" id="1144">1144</a>
<a href="#1145" id="1145">1145</a>
<a href="#1146" id="1146">1146</a>
<a href="#1147" id="1147">1147</a>
<a href="#1148" id="1148">1148</a>
<a href="#1149" id="1149">1149</a>
<a href="#1150" id="1150">1150</a>
<a href="#1151" id="1151">1151</a>
<a href="#1152" id="1152">1152</a>
<a href="#1153" id="1153">1153</a>
<a href="#1154" id="1154">1154</a>
<a href="#1155" id="1155">1155</a>
<a href="#1156" id="1156">1156</a>
<a href="#1157" id="1157">1157</a>
<a href="#1158" id="1158">1158</a>
<a href="#1159" id="1159">1159</a>
<a href="#1160" id="1160">1160</a>
<a href="#1161" id="1161">1161</a>
<a href="#1162" id="1162">1162</a>
<a href="#1163" id="1163">1163</a>
<a href="#1164" id="1164">1164</a>
<a href="#1165" id="1165">1165</a>
<a href="#1166" id="1166">1166</a>
<a href="#1167" id="1167">1167</a>
<a href="#1168" id="1168">1168</a>
<a href="#1169" id="1169">1169</a>
<a href="#1170" id="1170">1170</a>
<a href="#1171" id="1171">1171</a>
<a href="#1172" id="1172">1172</a>
<a href="#1173" id="1173">1173</a>
<a href="#1174" id="1174">1174</a>
<a href="#1175" id="1175">1175</a>
<a href="#1176" id="1176">1176</a>
<a href="#1177" id="1177">1177</a>
<a href="#1178" id="1178">1178</a>
<a href="#1179" id="1179">1179</a>
<a href="#1180" id="1180">1180</a>
<a href="#1181" id="1181">1181</a>
<a href="#1182" id="1182">1182</a>
<a href="#1183" id="1183">1183</a>
<a href="#1184" id="1184">1184</a>
<a href="#1185" id="1185">1185</a>
<a href="#1186" id="1186">1186</a>
<a href="#1187" id="1187">1187</a>
<a href="#1188" id="1188">1188</a>
<a href="#1189" id="1189">1189</a>
<a href="#1190" id="1190">1190</a>
<a href="#1191" id="1191">1191</a>
<a href="#1192" id="1192">1192</a>
<a href="#1193" id="1193">1193</a>
<a href="#1194" id="1194">1194</a>
<a href="#1195" id="1195">1195</a>
<a href="#1196" id="1196">1196</a>
<a href="#1197" id="1197">1197</a>
<a href="#1198" id="1198">1198</a>
<a href="#1199" id="1199">1199</a>
<a href="#1200" id="1200">1200</a>
<a href="#1201" id="1201">1201</a>
<a href="#1202" id="1202">1202</a>
<a href="#1203" id="1203">1203</a>
<a href="#1204" id="1204">1204</a>
<a href="#1205" id="1205">1205</a>
<a href="#1206" id="1206">1206</a>
<a href="#1207" id="1207">1207</a>
<a href="#1208" id="1208">1208</a>
<a href="#1209" id="1209">1209</a>
<a href="#1210" id="1210">1210</a>
<a href="#1211" id="1211">1211</a>
<a href="#1212" id="1212">1212</a>
<a href="#1213" id="1213">1213</a>
<a href="#1214" id="1214">1214</a>
<a href="#1215" id="1215">1215</a>
<a href="#1216" id="1216">1216</a>
<a href="#1217" id="1217">1217</a>
<a href="#1218" id="1218">1218</a>
<a href="#1219" id="1219">1219</a>
<a href="#1220" id="1220">1220</a>
<a href="#1221" id="1221">1221</a>
<a href="#1222" id="1222">1222</a>
<a href="#1223" id="1223">1223</a>
<a href="#1224" id="1224">1224</a>
<a href="#1225" id="1225">1225</a>
<a href="#1226" id="1226">1226</a>
<a href="#1227" id="1227">1227</a>
<a href="#1228" id="1228">1228</a>
<a href="#1229" id="1229">1229</a>
<a href="#1230" id="1230">1230</a>
<a href="#1231" id="1231">1231</a>
<a href="#1232" id="1232">1232</a>
<a href="#1233" id="1233">1233</a>
<a href="#1234" id="1234">1234</a>
<a href="#1235" id="1235">1235</a>
<a href="#1236" id="1236">1236</a>
<a href="#1237" id="1237">1237</a>
<a href="#1238" id="1238">1238</a>
<a href="#1239" id="1239">1239</a>
<a href="#1240" id="1240">1240</a>
<a href="#1241" id="1241">1241</a>
<a href="#1242" id="1242">1242</a>
<a href="#1243" id="1243">1243</a>
<a href="#1244" id="1244">1244</a>
<a href="#1245" id="1245">1245</a>
<a href="#1246" id="1246">1246</a>
<a href="#1247" id="1247">1247</a>
<a href="#1248" id="1248">1248</a>
<a href="#1249" id="1249">1249</a>
<a href="#1250" id="1250">1250</a>
<a href="#1251" id="1251">1251</a>
<a href="#1252" id="1252">1252</a>
<a href="#1253" id="1253">1253</a>
<a href="#1254" id="1254">1254</a>
<a href="#1255" id="1255">1255</a>
<a href="#1256" id="1256">1256</a>
<a href="#1257" id="1257">1257</a>
<a href="#1258" id="1258">1258</a>
<a href="#1259" id="1259">1259</a>
<a href="#1260" id="1260">1260</a>
<a href="#1261" id="1261">1261</a>
<a href="#1262" id="1262">1262</a>
<a href="#1263" id="1263">1263</a>
<a href="#1264" id="1264">1264</a>
<a href="#1265" id="1265">1265</a>
<a href="#1266" id="1266">1266</a>
<a href="#1267" id="1267">1267</a>
<a href="#1268" id="1268">1268</a>
<a href="#1269" id="1269">1269</a>
<a href="#1270" id="1270">1270</a>
<a href="#1271" id="1271">1271</a>
<a href="#1272" id="1272">1272</a>
<a href="#1273" id="1273">1273</a>
<a href="#1274" id="1274">1274</a>
<a href="#1275" id="1275">1275</a>
<a href="#1276" id="1276">1276</a>
<a href="#1277" id="1277">1277</a>
<a href="#1278" id="1278">1278</a>
<a href="#1279" id="1279">1279</a>
<a href="#1280" id="1280">1280</a>
<a href="#1281" id="1281">1281</a>
<a href="#1282" id="1282">1282</a>
<a href="#1283" id="1283">1283</a>
<a href="#1284" id="1284">1284</a>
<a href="#1285" id="1285">1285</a>
<a href="#1286" id="1286">1286</a>
<a href="#1287" id="1287">1287</a>
<a href="#1288" id="1288">1288</a>
<a href="#1289" id="1289">1289</a>
<a href="#1290" id="1290">1290</a>
<a href="#1291" id="1291">1291</a>
<a href="#1292" id="1292">1292</a>
<a href="#1293" id="1293">1293</a>
<a href="#1294" id="1294">1294</a>
<a href="#1295" id="1295">1295</a>
<a href="#1296" id="1296">1296</a>
<a href="#1297" id="1297">1297</a>
<a href="#1298" id="1298">1298</a>
<a href="#1299" id="1299">1299</a>
<a href="#1300" id="1300">1300</a>
<a href="#1301" id="1301">1301</a>
<a href="#1302" id="1302">1302</a>
<a href="#1303" id="1303">1303</a>
<a href="#1304" id="1304">1304</a>
<a href="#1305" id="1305">1305</a>
<a href="#1306" id="1306">1306</a>
<a href="#1307" id="1307">1307</a>
<a href="#1308" id="1308">1308</a>
<a href="#1309" id="1309">1309</a>
<a href="#1310" id="1310">1310</a>
<a href="#1311" id="1311">1311</a>
<a href="#1312" id="1312">1312</a>
<a href="#1313" id="1313">1313</a>
<a href="#1314" id="1314">1314</a>
<a href="#1315" id="1315">1315</a>
<a href="#1316" id="1316">1316</a>
<a href="#1317" id="1317">1317</a>
<a href="#1318" id="1318">1318</a>
<a href="#1319" id="1319">1319</a>
<a href="#1320" id="1320">1320</a>
<a href="#1321" id="1321">1321</a>
<a href="#1322" id="1322">1322</a>
<a href="#1323" id="1323">1323</a>
<a href="#1324" id="1324">1324</a>
<a href="#1325" id="1325">1325</a>
<a href="#1326" id="1326">1326</a>
<a href="#1327" id="1327">1327</a>
<a href="#1328" id="1328">1328</a>
<a href="#1329" id="1329">1329</a>
<a href="#1330" id="1330">1330</a>
<a href="#1331" id="1331">1331</a>
<a href="#1332" id="1332">1332</a>
<a href="#1333" id="1333">1333</a>
<a href="#1334" id="1334">1334</a>
<a href="#1335" id="1335">1335</a>
<a href="#1336" id="1336">1336</a>
<a href="#1337" id="1337">1337</a>
<a href="#1338" id="1338">1338</a>
<a href="#1339" id="1339">1339</a>
<a href="#1340" id="1340">1340</a>
<a href="#1341" id="1341">1341</a>
<a href="#1342" id="1342">1342</a>
<a href="#1343" id="1343">1343</a>
<a href="#1344" id="1344">1344</a>
<a href="#1345" id="1345">1345</a>
<a href="#1346" id="1346">1346</a>
<a href="#1347" id="1347">1347</a>
<a href="#1348" id="1348">1348</a>
<a href="#1349" id="1349">1349</a>
<a href="#1350" id="1350">1350</a>
<a href="#1351" id="1351">1351</a>
<a href="#1352" id="1352">1352</a>
<a href="#1353" id="1353">1353</a>
<a href="#1354" id="1354">1354</a>
<a href="#1355" id="1355">1355</a>
<a href="#1356" id="1356">1356</a>
<a href="#1357" id="1357">1357</a>
<a href="#1358" id="1358">1358</a>
<a href="#1359" id="1359">1359</a>
<a href="#1360" id="1360">1360</a>
<a href="#1361" id="1361">1361</a>
<a href="#1362" id="1362">1362</a>
<a href="#1363" id="1363">1363</a>
<a href="#1364" id="1364">1364</a>
<a href="#1365" id="1365">1365</a>
<a href="#1366" id="1366">1366</a>
<a href="#1367" id="1367">1367</a>
<a href="#1368" id="1368">1368</a>
<a href="#1369" id="1369">1369</a>
<a href="#1370" id="1370">1370</a>
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</pre><pre class="rust"><code><span class="attr">#![allow(missing_docs)]
#![allow(non_camel_case_types)] </span><span class="comment">// For the simd type aliases.
</span><span class="doccomment">//! SIMD values based on auto-vectorization.
</span><span class="kw">use </span><span class="kw">crate</span>::scalar::{Field, SubsetOf, SupersetOf};
<span class="kw">use </span><span class="kw">crate</span>::simd::{
PrimitiveSimdValue, SimdBool, SimdComplexField, SimdPartialOrd, SimdRealField, SimdSigned,
SimdValue,
};
<span class="kw">use </span>approx::AbsDiffEq;
<span class="attr">#[cfg(feature = <span class="string">"decimal"</span>)]
</span><span class="kw">use </span>decimal::d128;
<span class="kw">use </span>num::{FromPrimitive, Num, One, Zero};
<span class="kw">use </span>std::{
fmt,
ops::{
Add, AddAssign, BitAnd, BitOr, BitXor, Div, DivAssign, Mul, MulAssign, Neg, Not, Rem,
RemAssign, Sub, SubAssign,
},
};
<span class="comment">// This is a hack to allow use to reuse `_0` as integers or as identifier,
// depending on whether or not `ident_to_value` has been called in scope.
// This helps writing macros that define both `::new` and `From([T; lanes()])`.
</span><span class="macro">macro_rules! </span>ident_to_value(
() => {
<span class="kw">const </span>_0: usize = <span class="number">0</span>; <span class="kw">const </span>_1: usize = <span class="number">1</span>; <span class="kw">const </span>_2: usize = <span class="number">2</span>; <span class="kw">const </span>_3: usize = <span class="number">3</span>; <span class="kw">const </span>_4: usize = <span class="number">4</span>; <span class="kw">const </span>_5: usize = <span class="number">5</span>; <span class="kw">const </span>_6: usize = <span class="number">6</span>; <span class="kw">const </span>_7: usize = <span class="number">7</span>;
<span class="kw">const </span>_8: usize = <span class="number">8</span>; <span class="kw">const </span>_9: usize = <span class="number">9</span>; <span class="kw">const </span>_10: usize = <span class="number">10</span>; <span class="kw">const </span>_11: usize = <span class="number">11</span>; <span class="kw">const </span>_12: usize = <span class="number">12</span>; <span class="kw">const </span>_13: usize = <span class="number">13</span>; <span class="kw">const </span>_14: usize = <span class="number">14</span>; <span class="kw">const </span>_15: usize = <span class="number">15</span>;
<span class="kw">const </span>_16: usize = <span class="number">16</span>; <span class="kw">const </span>_17: usize = <span class="number">17</span>; <span class="kw">const </span>_18: usize = <span class="number">18</span>; <span class="kw">const </span>_19: usize = <span class="number">19</span>; <span class="kw">const </span>_20: usize = <span class="number">20</span>; <span class="kw">const </span>_21: usize = <span class="number">21</span>; <span class="kw">const </span>_22: usize = <span class="number">22</span>; <span class="kw">const </span>_23: usize = <span class="number">23</span>;
<span class="kw">const </span>_24: usize = <span class="number">24</span>; <span class="kw">const </span>_25: usize = <span class="number">25</span>; <span class="kw">const </span>_26: usize = <span class="number">26</span>; <span class="kw">const </span>_27: usize = <span class="number">27</span>; <span class="kw">const </span>_28: usize = <span class="number">28</span>; <span class="kw">const </span>_29: usize = <span class="number">29</span>; <span class="kw">const </span>_30: usize = <span class="number">30</span>; <span class="kw">const </span>_31: usize = <span class="number">31</span>;
<span class="kw">const </span>_32: usize = <span class="number">32</span>; <span class="kw">const </span>_33: usize = <span class="number">33</span>; <span class="kw">const </span>_34: usize = <span class="number">34</span>; <span class="kw">const </span>_35: usize = <span class="number">35</span>; <span class="kw">const </span>_36: usize = <span class="number">36</span>; <span class="kw">const </span>_37: usize = <span class="number">37</span>; <span class="kw">const </span>_38: usize = <span class="number">38</span>; <span class="kw">const </span>_39: usize = <span class="number">39</span>;
<span class="kw">const </span>_40: usize = <span class="number">40</span>; <span class="kw">const </span>_41: usize = <span class="number">41</span>; <span class="kw">const </span>_42: usize = <span class="number">42</span>; <span class="kw">const </span>_43: usize = <span class="number">43</span>; <span class="kw">const </span>_44: usize = <span class="number">44</span>; <span class="kw">const </span>_45: usize = <span class="number">45</span>; <span class="kw">const </span>_46: usize = <span class="number">46</span>; <span class="kw">const </span>_47: usize = <span class="number">47</span>;
<span class="kw">const </span>_48: usize = <span class="number">48</span>; <span class="kw">const </span>_49: usize = <span class="number">49</span>; <span class="kw">const </span>_50: usize = <span class="number">50</span>; <span class="kw">const </span>_51: usize = <span class="number">51</span>; <span class="kw">const </span>_52: usize = <span class="number">52</span>; <span class="kw">const </span>_53: usize = <span class="number">53</span>; <span class="kw">const </span>_54: usize = <span class="number">54</span>; <span class="kw">const </span>_55: usize = <span class="number">55</span>;
<span class="kw">const </span>_56: usize = <span class="number">56</span>; <span class="kw">const </span>_57: usize = <span class="number">57</span>; <span class="kw">const </span>_58: usize = <span class="number">58</span>; <span class="kw">const </span>_59: usize = <span class="number">59</span>; <span class="kw">const </span>_60: usize = <span class="number">60</span>; <span class="kw">const </span>_61: usize = <span class="number">61</span>; <span class="kw">const </span>_62: usize = <span class="number">62</span>; <span class="kw">const </span>_63: usize = <span class="number">63</span>;
}
);
<span class="doccomment">/// A SIMD structure that implements all the relevant traits from `num` an `simba`.
///
/// This is needed to overcome the orphan rules.
</span><span class="attr">#[repr(align(<span class="number">16</span>))]
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
#[cfg_attr(
feature = <span class="string">"rkyv"</span>,
derive(rkyv::Archive, rkyv::Deserialize, rkyv::Serialize),
archive(<span class="kw">as </span>= <span class="string">"Self"</span>, bound(archive = <span class="string">"N: rkyv::Archive<Archived = N>"</span>))
)]
#[cfg_attr(feature = <span class="string">"cuda"</span>, derive(cust_core::DeviceCopy))]
</span><span class="kw">pub struct </span>AutoSimd<N>(<span class="kw">pub </span>N);
<span class="doccomment">/// A SIMD boolean structure that implements all the relevant traits from `num` an `simba`.
///
/// This is needed to overcome the orphan rules.
</span><span class="attr">#[repr(align(<span class="number">16</span>))]
#[derive(Copy, Clone, PartialEq, Eq, Debug)]
#[cfg_attr(
feature = <span class="string">"rkyv"</span>,
derive(rkyv::Archive, rkyv::Deserialize, rkyv::Serialize),
archive(<span class="kw">as </span>= <span class="string">"Self"</span>, bound(archive = <span class="string">"N: rkyv::Archive<Archived = N>"</span>))
)]
</span><span class="kw">pub struct </span>AutoBoolSimd<N>(<span class="kw">pub </span>N);
<span class="macro">macro_rules! </span>impl_bool_simd(
($(<span class="macro-nonterminal">$t</span>: ty, <span class="macro-nonterminal">$lanes</span>: expr, $(<span class="macro-nonterminal">$i</span>: ident),<span class="kw-2">*</span>;)<span class="kw-2">*</span>) => {$(
<span class="macro">impl_simd_value!</span>(<span class="macro-nonterminal">$t</span>, bool, <span class="macro-nonterminal">$lanes</span>, AutoSimd<<span class="macro-nonterminal">$t</span>> $(, <span class="macro-nonterminal">$i</span>)<span class="kw-2">*</span>;);
<span class="kw">impl </span>From<[bool; <span class="macro-nonterminal">$lanes</span>]> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from(vals: [bool; <span class="macro-nonterminal">$lanes</span>]) -> <span class="self">Self </span>{
<span class="self">Self</span>(vals)
}
}
<span class="kw">impl </span>Not <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline]
</span><span class="kw">fn </span>not(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| !x)
}
}
<span class="kw">impl </span>BitAnd<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="kw">fn </span>bitand(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x & y)
}
}
<span class="kw">impl </span>BitOr<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="kw">fn </span>bitor(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x | y)
}
}
<span class="kw">impl </span>BitXor<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="kw">fn </span>bitxor(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x ^ y)
}
}
<span class="kw">impl </span>SimdBool <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>bitmask(<span class="self">self</span>) -> u64 {
<span class="macro">ident_to_value!</span>();
<span class="number">0u64 </span>$(
| ((<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>] <span class="kw">as </span>u64) << <span class="macro-nonterminal">$i</span>)
)*
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>and(<span class="self">self</span>) -> bool {
<span class="macro">ident_to_value!</span>();
<span class="bool-val">true </span>$(
&& <span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>]
)*
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>or(<span class="self">self</span>) -> bool {
<span class="macro">ident_to_value!</span>();
<span class="bool-val">false </span>$(
|| <span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>]
)*
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>xor(<span class="self">self</span>) -> bool {
<span class="macro">ident_to_value!</span>();
<span class="bool-val">false </span>$(
^ <span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>]
)*
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>all(<span class="self">self</span>) -> bool {
<span class="self">self</span>.and()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>any(<span class="self">self</span>) -> bool {
<span class="self">self</span>.or()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>none(<span class="self">self</span>) -> bool {
!<span class="self">self</span>.any()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>if_else<Res: SimdValue<SimdBool = <span class="self">Self</span>>>(
<span class="self">self</span>,
if_value: <span class="kw">impl </span>FnOnce() -> Res,
else_value: <span class="kw">impl </span>FnOnce() -> Res,
) -> Res {
<span class="kw">let </span>a = if_value();
<span class="kw">let </span>b = else_value();
a.select(<span class="self">self</span>, b)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>if_else2<Res: SimdValue<SimdBool = <span class="self">Self</span>>>(
<span class="self">self</span>,
if_value: <span class="kw">impl </span>FnOnce() -> Res,
else_if: (<span class="kw">impl </span>FnOnce() -> <span class="self">Self</span>, <span class="kw">impl </span>FnOnce() -> Res),
else_value: <span class="kw">impl </span>FnOnce() -> Res,
) -> Res {
<span class="kw">let </span>a = if_value();
<span class="kw">let </span>b = else_if.<span class="number">1</span>();
<span class="kw">let </span>c = else_value();
<span class="kw">let </span>cond_a = <span class="self">self</span>;
<span class="kw">let </span>cond_b = else_if.<span class="number">0</span>();
a.select(cond_a, b.select(cond_b, c))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>if_else3<Res: SimdValue<SimdBool = <span class="self">Self</span>>>(
<span class="self">self</span>,
if_value: <span class="kw">impl </span>FnOnce() -> Res,
else_if: (<span class="kw">impl </span>FnOnce() -> <span class="self">Self</span>, <span class="kw">impl </span>FnOnce() -> Res),
else_else_if: (<span class="kw">impl </span>FnOnce() -> <span class="self">Self</span>, <span class="kw">impl </span>FnOnce() -> Res),
else_value: <span class="kw">impl </span>FnOnce() -> Res,
) -> Res {
<span class="kw">let </span>a = if_value();
<span class="kw">let </span>b = else_if.<span class="number">1</span>();
<span class="kw">let </span>c = else_else_if.<span class="number">1</span>();
<span class="kw">let </span>d = else_value();
<span class="kw">let </span>cond_a = <span class="self">self</span>;
<span class="kw">let </span>cond_b = else_if.<span class="number">0</span>();
<span class="kw">let </span>cond_c = else_else_if.<span class="number">0</span>();
a.select(cond_a, b.select(cond_b, c.select(cond_c, d)))
}
}
)<span class="kw-2">*</span>}
);
<span class="macro">macro_rules! </span>impl_scalar_subset_of_simd(
($(<span class="macro-nonterminal">$t</span>: ty),<span class="kw-2">*</span>) => {$(
<span class="kw">impl</span><N2> SubsetOf<AutoSimd<N2>> <span class="kw">for </span><span class="macro-nonterminal">$t
</span><span class="kw">where </span>AutoSimd<N2>: SimdValue + Copy,
<AutoSimd<N2> <span class="kw">as </span>SimdValue>::Element: SupersetOf<<span class="macro-nonterminal">$t</span>> + PartialEq, {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>to_superset(<span class="kw-2">&</span><span class="self">self</span>) -> AutoSimd<N2> {
AutoSimd::<N2>::splat(<AutoSimd<N2> <span class="kw">as </span>SimdValue>::Element::from_subset(<span class="self">self</span>))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_superset_unchecked(element: <span class="kw-2">&</span>AutoSimd<N2>) -> <span class="macro-nonterminal">$t </span>{
element.extract(<span class="number">0</span>).to_subset_unchecked()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>is_in_subset(c: <span class="kw-2">&</span>AutoSimd<N2>) -> bool {
<span class="kw">let </span>elt0 = c.extract(<span class="number">0</span>);
elt0.is_in_subset() &&
(<span class="number">1</span>..AutoSimd::<N2>::lanes()).all(|i| c.extract(i) == elt0)
}
}
)<span class="kw-2">*</span>}
);
<span class="macro">impl_scalar_subset_of_simd!</span>(u8, u16, u32, u64, usize, i8, i16, i32, i64, isize, f32, f64);
<span class="attr">#[cfg(feature = <span class="string">"decimal"</span>)]
</span><span class="macro">impl_scalar_subset_of_simd!</span>(d128);
<span class="macro">macro_rules! </span>impl_simd_value(
($(<span class="macro-nonterminal">$t</span>: ty, <span class="macro-nonterminal">$elt</span>: ty, <span class="macro-nonterminal">$lanes</span>: expr, <span class="macro-nonterminal">$bool</span>: ty, $(<span class="macro-nonterminal">$i</span>: ident),<span class="kw-2">*</span>;)<span class="kw-2">*</span>) => ($(
<span class="kw">impl </span>ArrTransform <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>map(<span class="self">self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element) -> <span class="self">Self </span>{
<span class="macro">ident_to_value!</span>();
<span class="self">Self</span>([$(f(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>])),<span class="kw-2">*</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>zip_map(<span class="self">self</span>, other: <span class="self">Self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element) -> <span class="self">Self </span>{
<span class="macro">ident_to_value!</span>();
<span class="self">Self</span>([$(f(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>], other.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>])),<span class="kw-2">*</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>zip_zip_map(<span class="self">self</span>, b: <span class="self">Self</span>, c: <span class="self">Self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element) -> <span class="self">Self </span>{
<span class="macro">ident_to_value!</span>();
<span class="self">Self</span>([$(f(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>], b.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>], c.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>])),<span class="kw-2">*</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>map_bool(<span class="self">self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element) -> bool) -> <span class="self">Self</span>::SimdBool {
<span class="macro">ident_to_value!</span>();
AutoSimd([$(f(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>])),<span class="kw-2">*</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>zip_map_bool(<span class="self">self</span>, other: <span class="self">Self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> bool) -> <span class="self">Self</span>::SimdBool {
<span class="macro">ident_to_value!</span>();
AutoSimd([$(f(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>], other.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>])),<span class="kw-2">*</span>])
}
}
<span class="kw">impl </span>fmt::Display <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter<<span class="lifetime">'_</span>>) -> fmt::Result {
<span class="kw">if </span><span class="self">Self</span>::lanes() == <span class="number">1 </span>{
<span class="kw">return </span><span class="self">self</span>.extract(<span class="number">0</span>).fmt(f);
}
<span class="macro">write!</span>(f, <span class="string">"({}"</span>, <span class="self">self</span>.extract(<span class="number">0</span>))<span class="question-mark">?</span>;
<span class="kw">for </span>i <span class="kw">in </span><span class="number">1</span>..<span class="self">Self</span>::lanes() {
<span class="macro">write!</span>(f, <span class="string">", {}"</span>, <span class="self">self</span>.extract(i))<span class="question-mark">?</span>;
}
<span class="macro">write!</span>(f, <span class="string">")"</span>)
}
}
<span class="kw">impl </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">pub fn </span>new($(<span class="macro-nonterminal">$i</span>: <span class="macro-nonterminal">$elt</span>),<span class="kw-2">*</span>) -> <span class="self">Self </span>{
AutoSimd([$(<span class="macro-nonterminal">$i</span>),<span class="kw-2">*</span>])
}
}
<span class="kw">impl </span>PrimitiveSimdValue <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {}
<span class="kw">impl </span>SimdValue <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Element = <span class="macro-nonterminal">$elt</span>;
<span class="kw">type </span>SimdBool = <span class="macro-nonterminal">$bool</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>lanes() -> usize {
<span class="macro-nonterminal">$lanes
</span>}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>splat(val: <span class="self">Self</span>::Element) -> <span class="self">Self </span>{
AutoSimd([val; <span class="macro-nonterminal">$lanes</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>extract(<span class="kw-2">&</span><span class="self">self</span>, i: usize) -> <span class="self">Self</span>::Element {
<span class="self">self</span>.<span class="number">0</span>[i]
}
<span class="attr">#[inline(always)]
</span><span class="kw">unsafe fn </span>extract_unchecked(<span class="kw-2">&</span><span class="self">self</span>, i: usize) -> <span class="self">Self</span>::Element {
<span class="kw-2">*</span><span class="self">self</span>.<span class="number">0</span>.get_unchecked(i)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>replace(<span class="kw-2">&mut </span><span class="self">self</span>, i: usize, val: <span class="self">Self</span>::Element) {
<span class="self">self</span>.<span class="number">0</span>[i] = val
}
<span class="attr">#[inline(always)]
</span><span class="kw">unsafe fn </span>replace_unchecked(<span class="kw-2">&mut </span><span class="self">self</span>, i: usize, val: <span class="self">Self</span>::Element) {
<span class="kw-2">*</span><span class="self">self</span>.<span class="number">0</span>.get_unchecked_mut(i) = val
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>select(<span class="self">self</span>, cond: <span class="self">Self</span>::SimdBool, other: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="macro">ident_to_value!</span>();
<span class="self">Self</span>([
$(<span class="kw">if </span>cond.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>] { <span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>] } <span class="kw">else </span>{ other.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>] }),*
])
}
}
)<span class="kw-2">*</span>)
);
<span class="macro">macro_rules! </span>impl_uint_simd(
($(<span class="macro-nonterminal">$t</span>: ty, <span class="macro-nonterminal">$elt</span>: ty, <span class="macro-nonterminal">$lanes</span>: expr, <span class="macro-nonterminal">$bool</span>: ty, $(<span class="macro-nonterminal">$i</span>: ident),<span class="kw-2">*</span>;)<span class="kw-2">*</span>) => ($(
<span class="macro">impl_simd_value!</span>(<span class="macro-nonterminal">$t</span>, <span class="macro-nonterminal">$elt</span>, <span class="macro-nonterminal">$lanes</span>, <span class="macro-nonterminal">$bool </span>$(, <span class="macro-nonterminal">$i</span>)<span class="kw-2">*</span>;);
<span class="kw">impl </span>From<[<span class="macro-nonterminal">$elt</span>; <span class="macro-nonterminal">$lanes</span>]> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from(vals: [<span class="macro-nonterminal">$elt</span>; <span class="macro-nonterminal">$lanes</span>]) -> <span class="self">Self </span>{
AutoSimd(vals)
}
}
<span class="kw">impl </span>From<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>[<span class="macro-nonterminal">$elt</span>; <span class="macro-nonterminal">$lanes</span>] {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from(val: AutoSimd<<span class="macro-nonterminal">$t</span>>) -> [<span class="macro-nonterminal">$elt</span>; <span class="macro-nonterminal">$lanes</span>] {
val.<span class="number">0
</span>}
}
<span class="kw">impl </span>SubsetOf<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>to_superset(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{
<span class="kw-2">*</span><span class="self">self
</span>}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_superset(element: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<span class="prelude-val">Some</span>(<span class="kw-2">*</span>element)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_superset_unchecked(element: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="kw-2">*</span>element
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>is_in_subset(<span class="kw">_</span>: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="bool-val">true
</span>}
}
<span class="kw">impl </span>Num <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>FromStrRadixErr = <<span class="macro-nonterminal">$elt </span><span class="kw">as </span>Num>::FromStrRadixErr;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_str_radix(str: <span class="kw-2">&</span>str, radix: u32) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, <span class="self">Self</span>::FromStrRadixErr> {
<<span class="macro-nonterminal">$elt</span>>::from_str_radix(str, radix).map(<span class="self">Self</span>::splat)
}
}
<span class="kw">impl </span>FromPrimitive <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_i64(n: i64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_i64(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_u64(n: u64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_u64(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_isize(n: isize) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_isize(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_i8(n: i8) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_i8(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_i16(n: i16) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_i16(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_i32(n: i32) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_i32(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_usize(n: usize) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_usize(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_u8(n: u8) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_u8(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_u16(n: u16) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_u16(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_u32(n: u32) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_u32(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_f32(n: f32) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_f32(n).map(<span class="self">Self</span>::splat)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_f64(n: f64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> {
<<span class="macro-nonterminal">$elt</span>>::from_f64(n).map(<span class="self">Self</span>::splat)
}
}
<span class="kw">impl </span>Zero <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>zero() -> <span class="self">Self </span>{
AutoSimd([<<span class="macro-nonterminal">$elt</span>>::zero(); <span class="macro-nonterminal">$lanes</span>])
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>is_zero(<span class="kw-2">&</span><span class="self">self</span>) -> bool {
<span class="kw-2">*</span><span class="self">self </span>== <span class="self">Self</span>::zero()
}
}
<span class="kw">impl </span>One <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>one() -> <span class="self">Self </span>{
AutoSimd([<<span class="macro-nonterminal">$elt</span>>::one(); <span class="macro-nonterminal">$lanes</span>])
}
}
<span class="kw">impl </span>Add<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>add(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x + y)
}
}
<span class="kw">impl </span>Sub<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>sub(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x - y)
}
}
<span class="kw">impl </span>Mul<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>mul(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x * y)
}
}
<span class="kw">impl </span>Div<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>div(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x / y)
}
}
<span class="kw">impl </span>Rem<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>rem(<span class="self">self</span>, rhs: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(rhs, |x, y| x % y)
}
}
<span class="kw">impl </span>AddAssign<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="self">Self</span>) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">*</span><span class="self">self </span>+ rhs;
}
}
<span class="kw">impl </span>SubAssign<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="self">Self</span>) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">*</span><span class="self">self </span>- rhs;
}
}
<span class="kw">impl </span>DivAssign<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="self">Self</span>) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">*</span><span class="self">self </span>/ rhs;
}
}
<span class="kw">impl </span>MulAssign<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="self">Self</span>) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">*</span><span class="self">self </span>* rhs;
}
}
<span class="kw">impl </span>RemAssign<AutoSimd<<span class="macro-nonterminal">$t</span>>> <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, rhs: <span class="self">Self</span>) {
<span class="kw-2">*</span><span class="self">self </span>= <span class="kw-2">*</span><span class="self">self </span>% rhs;
}
}
<span class="kw">impl </span>SimdPartialOrd <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_gt(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_gt(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_lt(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_lt(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ge(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_ge(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_le(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_le(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_eq(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_eq(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ne(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.zip_map_bool(other, |x, y| x.simd_ne(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_max(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(other, |x, y| x.simd_max(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_min(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(other, |x, y| x.simd_min(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_clamp(<span class="self">self</span>, min: <span class="self">Self</span>, max: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.simd_max(min).simd_min(max)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_min(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
<span class="macro">ident_to_value!</span>();
<span class="self">self</span>.<span class="number">0</span>[<span class="number">0</span>] $(.simd_min(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>]))*
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_max(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
<span class="macro">ident_to_value!</span>();
<span class="self">self</span>.<span class="number">0</span>[<span class="number">0</span>] $(.simd_max(<span class="self">self</span>.<span class="number">0</span>[<span class="macro-nonterminal">$i</span>]))*
}
}
<span class="comment">// impl MeetSemilattice for AutoSimd<$t> {
// #[inline(always)]
// fn meet(&self, other: &Self) -> Self {
// AutoSimd(self.0.min(other.0))
// }
// }
//
// impl JoinSemilattice for AutoSimd<$t> {
// #[inline(always)]
// fn join(&self, other: &Self) -> Self {
// AutoSimd(self.0.max(other.0))
// }
// }
</span>)<span class="kw-2">*</span>)
);
<span class="macro">macro_rules! </span>impl_int_simd(
($(<span class="macro-nonterminal">$t</span>: ty, <span class="macro-nonterminal">$elt</span>: ty, <span class="macro-nonterminal">$lanes</span>: expr, <span class="macro-nonterminal">$bool</span>: ty, $(<span class="macro-nonterminal">$i</span>: ident),<span class="kw-2">*</span>;)<span class="kw-2">*</span>) => ($(
<span class="macro">impl_uint_simd!</span>(<span class="macro-nonterminal">$t</span>, <span class="macro-nonterminal">$elt</span>, <span class="macro-nonterminal">$lanes</span>, <span class="macro-nonterminal">$bool </span>$(, <span class="macro-nonterminal">$i</span>)<span class="kw-2">*</span>;);
<span class="kw">impl </span>Neg <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>Output = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>neg(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| -x)
}
}
)<span class="kw-2">*</span>)
);
<span class="macro">macro_rules! </span>impl_float_simd(
($(<span class="macro-nonterminal">$t</span>: ty, <span class="macro-nonterminal">$elt</span>: ty, <span class="macro-nonterminal">$lanes</span>: expr, <span class="macro-nonterminal">$int</span>: ty, <span class="macro-nonterminal">$bool</span>: ty, $(<span class="macro-nonterminal">$i</span>: ident),<span class="kw-2">*</span>;)<span class="kw-2">*</span>) => ($(
<span class="macro">impl_int_simd!</span>(<span class="macro-nonterminal">$t</span>, <span class="macro-nonterminal">$elt</span>, <span class="macro-nonterminal">$lanes</span>, <span class="macro-nonterminal">$bool </span>$(, <span class="macro-nonterminal">$i</span>)<span class="kw-2">*</span>;);
<span class="comment">// FIXME: this should be part of impl_int_simd
// but those methods do not seem to be implemented
// by packed_simd for integers.
</span><span class="kw">impl </span>SimdSigned <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_abs(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_abs())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_abs_sub(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(<span class="kw-2">*</span>other, |x, y| x.simd_abs_sub(<span class="kw-2">&</span>y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_signum(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_signum())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>is_simd_positive(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.map_bool(|x| x.is_simd_positive())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>is_simd_negative(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="self">Self</span>::SimdBool {
<span class="self">self</span>.map_bool(|x| x.is_simd_negative())
}
}
<span class="kw">impl </span>Field <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {}
<span class="attr">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>, feature = <span class="string">"libm_force"</span>, all(any(target_arch = <span class="string">"nvptx"</span>, target_arch = <span class="string">"nvptx64"</span>), feature = <span class="string">"cuda"</span>)))]
</span><span class="kw">impl </span>SimdRealField <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_atan2(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(other, |x, y| x.simd_atan2(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_copysign(<span class="self">self</span>, sign: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(sign, |me, sgn| me.simd_copysign(sgn))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_default_epsilon() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::default_epsilon())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_pi() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_pi())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_two_pi() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_two_pi())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_pi_2() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_pi_2())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_pi_3() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_pi_3())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_pi_4() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_pi_4())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_pi_6() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_pi_6())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_pi_8() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_pi_8())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_1_pi() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_1_pi())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_2_pi() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_2_pi())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_frac_2_sqrt_pi() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_frac_2_sqrt_pi())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_e() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_e())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_log2_e() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_log2_e())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_log10_e() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_log10_e() )
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ln_2() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_ln_2())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ln_10() -> <span class="self">Self </span>{
<span class="self">Self</span>::splat(<<span class="macro-nonterminal">$elt</span>>::simd_ln_10())
}
}
<span class="attr">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>, feature = <span class="string">"libm_force"</span>, all(any(target_arch = <span class="string">"nvptx"</span>, target_arch = <span class="string">"nvptx64"</span>), feature = <span class="string">"cuda"</span>)))]
</span><span class="kw">impl </span>SimdComplexField <span class="kw">for </span>AutoSimd<<span class="macro-nonterminal">$t</span>> {
<span class="kw">type </span>SimdRealField = <span class="self">Self</span>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_sum(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
<span class="self">self</span>.<span class="number">0</span>.iter().sum()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_product(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
<span class="self">self</span>.<span class="number">0</span>.iter().product()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>from_simd_real(re: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
re
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_real(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self
</span>}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_imaginary(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">Self</span>::zero()
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_norm1(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.map(|x| x.simd_norm1())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_modulus(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.map(|x| x.simd_modulus())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_modulus_squared(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.map(|x| x.simd_modulus_squared())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_argument(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.map(|x| x.simd_argument())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_to_exp(<span class="self">self</span>) -> (<span class="self">Self</span>::SimdRealField, <span class="self">Self</span>) {
<span class="kw">let </span>ge = <span class="self">self</span>.simd_ge(<span class="self">Self</span>::one());
<span class="kw">let </span>exp = <span class="self">Self</span>::one().select(ge, -<span class="self">Self</span>::one());
(<span class="self">self </span>* exp, exp)
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_recip(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_recip())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_conjugate(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_conjugate())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_scale(<span class="self">self</span>, factor: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(factor, |x, y| x.simd_scale(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_unscale(<span class="self">self</span>, factor: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(factor, |x, y| x.simd_unscale(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_floor(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_floor())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ceil(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_ceil())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_round(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_round())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_trunc(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_trunc())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_fract(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_fract())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_abs(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_abs())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_signum(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_signum())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_mul_add(<span class="self">self</span>, a: <span class="self">Self</span>, b: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_zip_map(a, b, |x, y, z| x.simd_mul_add(y, z))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_powi(<span class="self">self</span>, n: i32) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|e| e.simd_powi(n))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_powf(<span class="self">self</span>, n: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(n, |x, y| x.simd_powf(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_powc(<span class="self">self</span>, n: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(n, |x, y| x.simd_powc(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_sqrt(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_sqrt())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_exp(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_exp())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_exp2(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_exp2())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_exp_m1(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_exp_m1())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ln_1p(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_ln_1p())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_ln(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_ln())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_log(<span class="self">self</span>, base: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.zip_map(base, |x, y| x.simd_log(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_log2(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_log2())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_log10(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_log10())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_cbrt(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_cbrt())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_hypot(<span class="self">self</span>, other: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.zip_map(other, |x, y| x.simd_hypot(y))
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_sin(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_sin())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_cos(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_cos())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_tan(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_tan())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_asin(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_asin())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_acos(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_acos())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_atan(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_atan())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_sin_cos(<span class="self">self</span>) -> (<span class="self">Self</span>, <span class="self">Self</span>) {
(<span class="self">self</span>.simd_sin(), <span class="self">self</span>.simd_cos())
}
<span class="comment">// #[inline(always]
// fn simd_exp_m1(self) -> Self {
// $libm::exp_m1(self)
// }
//
// #[inline(always]
// fn simd_ln_1p(self) -> Self {
// $libm::ln_1p(self)
// }
//
</span><span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_sinh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_sinh())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_cosh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_cosh())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_tanh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_tanh())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_asinh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_asinh())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_acosh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_acosh())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_atanh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.map(|x| x.simd_atanh())
}
}
<span class="comment">// NOTE: most of the impls in there are copy-paste from the implementation of
// ComplexField for num_complex::Complex. Unfortunately, we can't reuse the implementations
// so easily.
</span><span class="attr">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>, feature = <span class="string">"libm_force"</span>, all(any(target_arch = <span class="string">"nvptx"</span>, target_arch = <span class="string">"nvptx64"</span>), feature = <span class="string">"cuda"</span>)))]
</span><span class="kw">impl </span>SimdComplexField <span class="kw">for </span>num_complex::Complex<AutoSimd<<span class="macro-nonterminal">$t</span>>> {
<span class="kw">type </span>SimdRealField = AutoSimd<<span class="macro-nonterminal">$t</span>>;
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_sum(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
num_complex::Complex::new(<span class="self">self</span>.re.simd_horizontal_sum(), <span class="self">self</span>.im.simd_horizontal_sum())
}
<span class="attr">#[inline(always)]
</span><span class="kw">fn </span>simd_horizontal_product(<span class="self">self</span>) -> <span class="self">Self</span>::Element {
<span class="kw">let </span><span class="kw-2">mut </span>prod = <span class="self">self</span>.extract(<span class="number">0</span>);
<span class="kw">for </span>ii <span class="kw">in </span><span class="number">1</span>..<span class="macro-nonterminal">$lanes </span>{
prod = prod * <span class="self">self</span>.extract(ii)
}
prod
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>from_simd_real(re: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(re, <span class="self">Self</span>::SimdRealField::zero())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_real(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.re
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_imaginary(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.im
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_argument(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.im.simd_atan2(<span class="self">self</span>.re)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_modulus(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.re.simd_hypot(<span class="self">self</span>.im)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_modulus_squared(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.re * <span class="self">self</span>.re + <span class="self">self</span>.im * <span class="self">self</span>.im
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_norm1(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.re.simd_abs() + <span class="self">self</span>.im.simd_abs()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_recip(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::one() / <span class="self">self
</span>}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_conjugate(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.conj()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_scale(<span class="self">self</span>, factor: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="self">self </span>* factor
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_unscale(<span class="self">self</span>, factor: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="self">self </span>/ factor
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_floor(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(<span class="self">self</span>.re.simd_floor(), <span class="self">self</span>.im.simd_floor())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_ceil(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(<span class="self">self</span>.re.simd_ceil(), <span class="self">self</span>.im.simd_ceil())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_round(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(<span class="self">self</span>.re.simd_round(), <span class="self">self</span>.im.simd_round())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_trunc(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(<span class="self">self</span>.re.simd_trunc(), <span class="self">self</span>.im.simd_trunc())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_fract(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">Self</span>::new(<span class="self">self</span>.re.simd_fract(), <span class="self">self</span>.im.simd_fract())
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_mul_add(<span class="self">self</span>, a: <span class="self">Self</span>, b: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="self">self </span>* a + b
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_abs(<span class="self">self</span>) -> <span class="self">Self</span>::SimdRealField {
<span class="self">self</span>.simd_modulus()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_exp2(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="kw">let </span>_2 = AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() + AutoSimd::<<span class="macro-nonterminal">$t</span>>::one();
num_complex::Complex::new(_2, AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero()).simd_powc(<span class="self">self</span>)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_exp_m1(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="self">self</span>.simd_exp() - <span class="self">Self</span>::one()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_ln_1p(<span class="self">self</span>) -> <span class="self">Self </span>{
(<span class="self">Self</span>::one() + <span class="self">self</span>).simd_ln()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_log2(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="kw">let </span>_2 = AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() + AutoSimd::<<span class="macro-nonterminal">$t</span>>::one();
<span class="self">self</span>.simd_log(_2)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_log10(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="kw">let </span>_10 = AutoSimd::<<span class="macro-nonterminal">$t</span>>::from_subset(<span class="kw-2">&</span><span class="number">10.0f64</span>);
<span class="self">self</span>.simd_log(_10)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_cbrt(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="kw">let </span>one_third = AutoSimd::<<span class="macro-nonterminal">$t</span>>::from_subset(<span class="kw-2">&</span>(<span class="number">1.0 </span>/ <span class="number">3.0</span>));
<span class="self">self</span>.simd_powf(one_third)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_powi(<span class="self">self</span>, n: i32) -> <span class="self">Self </span>{
<span class="comment">// FIXME: is there a more accurate solution?
</span><span class="kw">let </span>n = AutoSimd::<<span class="macro-nonterminal">$t</span>>::from_subset(<span class="kw-2">&</span>(n <span class="kw">as </span>f64));
<span class="self">self</span>.simd_powf(n)
}
<span class="comment">/*
*
*
* Unfortunately we are forced to copy-paste all
* those impls from https://github.com/rust-num/num-complex/blob/master/src/lib.rs
* to avoid requiring `std`.
*
*
*/
</span><span class="doccomment">/// Computes `e^(self)`, where `e` is the base of the natural logarithm.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_exp(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: e^(a + bi) = e^a (cos(b) + i*sin(b))
// = from_polar(e^a, b)
</span>simd_complex_from_polar(<span class="self">self</span>.re.simd_exp(), <span class="self">self</span>.im)
}
<span class="doccomment">/// Computes the principal value of natural logarithm of `self`.
///
/// This function has one branch cut:
///
/// * `(-∞, 0]`, continuous from above.
///
/// The branch satisfies `-π ≤ arg(ln(z)) ≤ π`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_ln(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: ln(z) = ln|z| + i*arg(z)
</span><span class="kw">let </span>(r, theta) = <span class="self">self</span>.simd_to_polar();
<span class="self">Self</span>::new(r.simd_ln(), theta)
}
<span class="doccomment">/// Computes the principal value of the square root of `self`.
///
/// This function has one branch cut:
///
/// * `(-∞, 0)`, continuous from above.
///
/// The branch satisfies `-π/2 ≤ arg(sqrt(z)) ≤ π/2`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_sqrt(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: sqrt(r e^(it)) = sqrt(r) e^(it/2)
</span><span class="kw">let </span>two = AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() + AutoSimd::<<span class="macro-nonterminal">$t</span>>::one();
<span class="kw">let </span>(r, theta) = <span class="self">self</span>.simd_to_polar();
simd_complex_from_polar(r.simd_sqrt(), theta / two)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_hypot(<span class="self">self</span>, b: <span class="self">Self</span>) -> <span class="self">Self</span>::SimdRealField {
(<span class="self">self</span>.simd_modulus_squared() + b.simd_modulus_squared()).simd_sqrt()
}
<span class="doccomment">/// Raises `self` to a floating point power.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_powf(<span class="self">self</span>, exp: <span class="self">Self</span>::SimdRealField) -> <span class="self">Self </span>{
<span class="comment">// formula: x^y = (ρ e^(i θ))^y = ρ^y e^(i θ y)
// = from_polar(ρ^y, θ y)
</span><span class="kw">let </span>(r, theta) = <span class="self">self</span>.simd_to_polar();
simd_complex_from_polar(r.simd_powf(exp), theta * exp)
}
<span class="doccomment">/// Returns the logarithm of `self` with respect to an arbitrary base.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_log(<span class="self">self</span>, base: AutoSimd<<span class="macro-nonterminal">$t</span>>) -> <span class="self">Self </span>{
<span class="comment">// formula: log_y(x) = log_y(ρ e^(i θ))
// = log_y(ρ) + log_y(e^(i θ)) = log_y(ρ) + ln(e^(i θ)) / ln(y)
// = log_y(ρ) + i θ / ln(y)
</span><span class="kw">let </span>(r, theta) = <span class="self">self</span>.simd_to_polar();
<span class="self">Self</span>::new(r.simd_log(base), theta / base.simd_ln())
}
<span class="doccomment">/// Raises `self` to a complex power.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_powc(<span class="self">self</span>, exp: <span class="self">Self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: x^y = (a + i b)^(c + i d)
// = (ρ e^(i θ))^c (ρ e^(i θ))^(i d)
// where ρ=|x| and θ=arg(x)
// = ρ^c e^(−d θ) e^(i c θ) ρ^(i d)
// = p^c e^(−d θ) (cos(c θ)
// + i sin(c θ)) (cos(d ln(ρ)) + i sin(d ln(ρ)))
// = p^c e^(−d θ) (
// cos(c θ) cos(d ln(ρ)) − sin(c θ) sin(d ln(ρ))
// + i(cos(c θ) sin(d ln(ρ)) + sin(c θ) cos(d ln(ρ))))
// = p^c e^(−d θ) (cos(c θ + d ln(ρ)) + i sin(c θ + d ln(ρ)))
// = from_polar(p^c e^(−d θ), c θ + d ln(ρ))
</span><span class="kw">let </span>(r, theta) = <span class="self">self</span>.simd_to_polar();
simd_complex_from_polar(
r.simd_powf(exp.re) * (-exp.im * theta).simd_exp(),
exp.re * theta + exp.im * r.simd_ln(),
)
}
<span class="comment">/*
/// Raises a floating point number to the complex power `self`.
#[inline]
fn simd_expf(&self, base: T) -> Self {
// formula: x^(a+bi) = x^a x^bi = x^a e^(b ln(x) i)
// = from_polar(x^a, b ln(x))
Self::from_polar(&base.powf(self.re), &(self.im * base.ln()))
}
*/
</span><span class="doccomment">/// Computes the sine of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_sin(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: sin(a + bi) = sin(a)cosh(b) + i*cos(a)sinh(b)
</span><span class="self">Self</span>::new(
<span class="self">self</span>.re.simd_sin() * <span class="self">self</span>.im.simd_cosh(),
<span class="self">self</span>.re.simd_cos() * <span class="self">self</span>.im.simd_sinh(),
)
}
<span class="doccomment">/// Computes the cosine of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_cos(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: cos(a + bi) = cos(a)cosh(b) - i*sin(a)sinh(b)
</span><span class="self">Self</span>::new(
<span class="self">self</span>.re.simd_cos() * <span class="self">self</span>.im.simd_cosh(),
-<span class="self">self</span>.re.simd_sin() * <span class="self">self</span>.im.simd_sinh(),
)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_sin_cos(<span class="self">self</span>) -> (<span class="self">Self</span>, <span class="self">Self</span>) {
<span class="kw">let </span>(rsin, rcos) = <span class="self">self</span>.re.simd_sin_cos();
<span class="kw">let </span>(isinh, icosh) = <span class="self">self</span>.im.simd_sinh_cosh();
<span class="kw">let </span>sin = <span class="self">Self</span>::new(rsin * icosh, rcos * isinh);
<span class="kw">let </span>cos = <span class="self">Self</span>::new(rcos * icosh, -rsin * isinh);
(sin, cos)
}
<span class="doccomment">/// Computes the tangent of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_tan(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: tan(a + bi) = (sin(2a) + i*sinh(2b))/(cos(2a) + cosh(2b))
</span><span class="kw">let </span>(two_re, two_im) = (<span class="self">self</span>.re + <span class="self">self</span>.re, <span class="self">self</span>.im + <span class="self">self</span>.im);
<span class="self">Self</span>::new(two_re.simd_sin(), two_im.simd_sinh()).unscale(two_re.simd_cos() + two_im.simd_cosh())
}
<span class="doccomment">/// Computes the principal value of the inverse sine of `self`.
///
/// This function has two branch cuts:
///
/// * `(-∞, -1)`, continuous from above.
/// * `(1, ∞)`, continuous from below.
///
/// The branch satisfies `-π/2 ≤ Re(asin(z)) ≤ π/2`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_asin(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arcsin(z) = -i ln(sqrt(1-z^2) + iz)
</span><span class="kw">let </span>i = <span class="self">Self</span>::i();
-i * ((<span class="self">Self</span>::one() - <span class="self">self </span>* <span class="self">self</span>).simd_sqrt() + i * <span class="self">self</span>).simd_ln()
}
<span class="doccomment">/// Computes the principal value of the inverse cosine of `self`.
///
/// This function has two branch cuts:
///
/// * `(-∞, -1)`, continuous from above.
/// * `(1, ∞)`, continuous from below.
///
/// The branch satisfies `0 ≤ Re(acos(z)) ≤ π`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_acos(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arccos(z) = -i ln(i sqrt(1-z^2) + z)
</span><span class="kw">let </span>i = <span class="self">Self</span>::i();
-i * (i * (<span class="self">Self</span>::one() - <span class="self">self </span>* <span class="self">self</span>).simd_sqrt() + <span class="self">self</span>).simd_ln()
}
<span class="doccomment">/// Computes the principal value of the inverse tangent of `self`.
///
/// This function has two branch cuts:
///
/// * `(-∞i, -i]`, continuous from the left.
/// * `[i, ∞i)`, continuous from the right.
///
/// The branch satisfies `-π/2 ≤ Re(atan(z)) ≤ π/2`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_atan(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arctan(z) = (ln(1+iz) - ln(1-iz))/(2i)
</span><span class="kw">let </span>i = <span class="self">Self</span>::i();
<span class="kw">let </span>one = <span class="self">Self</span>::one();
<span class="kw">let </span>two = one + one;
<span class="kw">if </span><span class="self">self </span>== i {
<span class="kw">return </span><span class="self">Self</span>::new(AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero(), AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() / AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero());
} <span class="kw">else if </span><span class="self">self </span>== -i {
<span class="kw">return </span><span class="self">Self</span>::new(AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero(), -AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() / AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero());
}
((one + i * <span class="self">self</span>).simd_ln() - (one - i * <span class="self">self</span>).simd_ln()) / (two * i)
}
<span class="doccomment">/// Computes the hyperbolic sine of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_sinh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: sinh(a + bi) = sinh(a)cos(b) + i*cosh(a)sin(b)
</span><span class="self">Self</span>::new(
<span class="self">self</span>.re.simd_sinh() * <span class="self">self</span>.im.simd_cos(),
<span class="self">self</span>.re.simd_cosh() * <span class="self">self</span>.im.simd_sin(),
)
}
<span class="doccomment">/// Computes the hyperbolic cosine of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_cosh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: cosh(a + bi) = cosh(a)cos(b) + i*sinh(a)sin(b)
</span><span class="self">Self</span>::new(
<span class="self">self</span>.re.simd_cosh() * <span class="self">self</span>.im.simd_cos(),
<span class="self">self</span>.re.simd_sinh() * <span class="self">self</span>.im.simd_sin(),
)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_sinh_cosh(<span class="self">self</span>) -> (<span class="self">Self</span>, <span class="self">Self</span>) {
<span class="kw">let </span>(rsinh, rcosh) = <span class="self">self</span>.re.simd_sinh_cosh();
<span class="kw">let </span>(isin, icos) = <span class="self">self</span>.im.simd_sin_cos();
<span class="kw">let </span>sin = <span class="self">Self</span>::new(rsinh * icos, rcosh * isin);
<span class="kw">let </span>cos = <span class="self">Self</span>::new(rcosh * icos, rsinh * isin);
(sin, cos)
}
<span class="doccomment">/// Computes the hyperbolic tangent of `self`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_tanh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: tanh(a + bi) = (sinh(2a) + i*sin(2b))/(cosh(2a) + cos(2b))
</span><span class="kw">let </span>(two_re, two_im) = (<span class="self">self</span>.re + <span class="self">self</span>.re, <span class="self">self</span>.im + <span class="self">self</span>.im);
<span class="self">Self</span>::new(two_re.simd_sinh(), two_im.simd_sin()).unscale(two_re.simd_cosh() + two_im.simd_cos())
}
<span class="doccomment">/// Computes the principal value of inverse hyperbolic sine of `self`.
///
/// This function has two branch cuts:
///
/// * `(-∞i, -i)`, continuous from the left.
/// * `(i, ∞i)`, continuous from the right.
///
/// The branch satisfies `-π/2 ≤ Im(asinh(z)) ≤ π/2`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_asinh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arcsinh(z) = ln(z + sqrt(1+z^2))
</span><span class="kw">let </span>one = <span class="self">Self</span>::one();
(<span class="self">self </span>+ (one + <span class="self">self </span>* <span class="self">self</span>).simd_sqrt()).simd_ln()
}
<span class="doccomment">/// Computes the principal value of inverse hyperbolic cosine of `self`.
///
/// This function has one branch cut:
///
/// * `(-∞, 1)`, continuous from above.
///
/// The branch satisfies `-π ≤ Im(acosh(z)) ≤ π` and `0 ≤ Re(acosh(z)) < ∞`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_acosh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arccosh(z) = 2 ln(sqrt((z+1)/2) + sqrt((z-1)/2))
</span><span class="kw">let </span>one = <span class="self">Self</span>::one();
<span class="kw">let </span>two = one + one;
two * (((<span class="self">self </span>+ one) / two).simd_sqrt() + ((<span class="self">self </span>- one) / two).simd_sqrt()).simd_ln()
}
<span class="doccomment">/// Computes the principal value of inverse hyperbolic tangent of `self`.
///
/// This function has two branch cuts:
///
/// * `(-∞, -1]`, continuous from above.
/// * `[1, ∞)`, continuous from below.
///
/// The branch satisfies `-π/2 ≤ Im(atanh(z)) ≤ π/2`.
</span><span class="attr">#[inline]
</span><span class="kw">fn </span>simd_atanh(<span class="self">self</span>) -> <span class="self">Self </span>{
<span class="comment">// formula: arctanh(z) = (ln(1+z) - ln(1-z))/2
</span><span class="kw">let </span>one = <span class="self">Self</span>::one();
<span class="kw">let </span>two = one + one;
<span class="kw">if </span><span class="self">self </span>== one {
<span class="kw">return </span><span class="self">Self</span>::new(AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() / AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero(), AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero());
} <span class="kw">else if </span><span class="self">self </span>== -one {
<span class="kw">return </span><span class="self">Self</span>::new(-AutoSimd::<<span class="macro-nonterminal">$t</span>>::one() / AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero(), AutoSimd::<<span class="macro-nonterminal">$t</span>>::zero());
}
((one + <span class="self">self</span>).simd_ln() - (one - <span class="self">self</span>).simd_ln()) / two
}
}
)<span class="kw-2">*</span>)
);
<span class="attr">#[inline]
</span><span class="kw">fn </span>simd_complex_from_polar<N: SimdRealField>(r: N, theta: N) -> num_complex::Complex<N> {
num_complex::Complex::new(r.clone() * theta.clone().simd_cos(), r * theta.simd_sin())
}
<span class="macro">impl_float_simd!</span>(
[f32; <span class="number">2</span>], f32, <span class="number">2</span>, [i32; <span class="number">2</span>], AutoBoolx2, _0, _1;
[f32; <span class="number">4</span>], f32, <span class="number">4</span>, [i32; <span class="number">4</span>], AutoBoolx4, _0, _1, _2, _3;
[f32; <span class="number">8</span>], f32, <span class="number">8</span>, [i32; <span class="number">8</span>], AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[f32; <span class="number">16</span>], f32, <span class="number">16</span>, [i32; <span class="number">16</span>], AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[f64; <span class="number">2</span>], f64, <span class="number">2</span>, [i64; <span class="number">2</span>], AutoBoolx2, _0, _1;
[f64; <span class="number">4</span>], f64, <span class="number">4</span>, [i64; <span class="number">4</span>], AutoBoolx4, _0, _1, _2, _3;
[f64; <span class="number">8</span>], f64, <span class="number">8</span>, [i64; <span class="number">8</span>], AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
);
<span class="macro">impl_int_simd!</span>(
[i128; <span class="number">1</span>], i128, <span class="number">1</span>, AutoBoolx1, _0;
[i128; <span class="number">2</span>], i128, <span class="number">2</span>, AutoBoolx2, _0, _1;
[i128; <span class="number">4</span>], i128, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[i16; <span class="number">2</span>], i16, <span class="number">2</span>, AutoBoolx2, _0, _1;
[i16; <span class="number">4</span>], i16, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[i16; <span class="number">8</span>], i16, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[i16; <span class="number">16</span>], i16, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[i16; <span class="number">32</span>], i16, <span class="number">32</span>, AutoBoolx32, _0, _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;
[i32; <span class="number">2</span>], i32, <span class="number">2</span>, AutoBoolx2, _0, _1;
[i32; <span class="number">4</span>], i32, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[i32; <span class="number">8</span>], i32, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[i32; <span class="number">16</span>], i32, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[i64; <span class="number">2</span>], i64, <span class="number">2</span>, AutoBoolx2, _0, _1;
[i64; <span class="number">4</span>], i64, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[i64; <span class="number">8</span>], i64, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[i8; <span class="number">2</span>], i8, <span class="number">2</span>, AutoBoolx2, _0, _1;
[i8; <span class="number">4</span>], i8, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[i8; <span class="number">8</span>], i8, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[i8; <span class="number">16</span>], i8, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[i8; <span class="number">32</span>], i8, <span class="number">32</span>, AutoBoolx32, _0, _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;
<span class="comment">// [i8; 64], i8, 64, AutoBoolx64, _0, _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;
</span>[isize; <span class="number">2</span>], isize, <span class="number">2</span>, AutoBoolx2, _0, _1;
[isize; <span class="number">4</span>], isize, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[isize; <span class="number">8</span>], isize, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
);
<span class="macro">impl_uint_simd!</span>(
[u128; <span class="number">1</span>], u128, <span class="number">1</span>, AutoBoolx1, _0;
[u128; <span class="number">2</span>], u128, <span class="number">2</span>, AutoBoolx2, _0, _1;
[u128; <span class="number">4</span>], u128, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[u16; <span class="number">2</span>], u16, <span class="number">2</span>, AutoBoolx2, _0, _1;
[u16; <span class="number">4</span>], u16, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[u16; <span class="number">8</span>], u16, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[u16; <span class="number">16</span>], u16, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[u16; <span class="number">32</span>], u16, <span class="number">32</span>, AutoBoolx32, _0, _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;
[u32; <span class="number">2</span>], u32, <span class="number">2</span>, AutoBoolx2, _0, _1;
[u32; <span class="number">4</span>], u32, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[u32; <span class="number">8</span>], u32, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[u32; <span class="number">16</span>], u32, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[u64; <span class="number">2</span>], u64, <span class="number">2</span>, AutoBoolx2, _0, _1;
[u64; <span class="number">4</span>], u64, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[u64; <span class="number">8</span>], u64, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[u8; <span class="number">2</span>], u8, <span class="number">2</span>, AutoBoolx2, _0, _1;
[u8; <span class="number">4</span>], u8, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[u8; <span class="number">8</span>], u8, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
[u8; <span class="number">16</span>], u8, <span class="number">16</span>, AutoBoolx16, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[u8; <span class="number">32</span>], u8, <span class="number">32</span>, AutoBoolx32, _0, _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;
<span class="comment">// [u8; 64], u8, 64, AutoBoolx64, _0, _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;
</span>[usize; <span class="number">2</span>], usize, <span class="number">2</span>, AutoBoolx2, _0, _1;
[usize; <span class="number">4</span>], usize, <span class="number">4</span>, AutoBoolx4, _0, _1, _2, _3;
[usize; <span class="number">8</span>], usize, <span class="number">8</span>, AutoBoolx8, _0, _1, _2, _3, _4, _5, _6, _7;
);
<span class="macro">impl_bool_simd!</span>(
[bool; <span class="number">1</span>], <span class="number">1</span>, _0;
[bool; <span class="number">2</span>], <span class="number">2</span>, _0, _1;
[bool; <span class="number">4</span>], <span class="number">4</span>, _0, _1, _2, _3;
[bool; <span class="number">8</span>], <span class="number">8</span>, _0, _1, _2, _3, _4, _5, _6, _7;
[bool; <span class="number">16</span>], <span class="number">16</span>, _0, _1, _2, _3, _4, _5, _6, _7, _8, _9, _10, _11, _12, _13, _14, _15;
[bool; <span class="number">32</span>], <span class="number">32</span>, _0, _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;
<span class="comment">// [bool; 64], 64, _0, _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;
</span>);
<span class="comment">//
// NOTE: the following does not work because of the orphan rules.
//
//macro_rules! impl_simd_complex_from(
// ($($t: ty, $elt: ty $(, $i: expr)*;)*) => ($(
// impl From<[num_complex::Complex<$elt>; $lanes]> for num_complex::Complex<AutoSimd<$t>> {
// #[inline(always)]
// fn from(vals: [num_complex::Complex<$elt>; $lanes]) -> Self {
// num_complex::Complex {
// re: <$t>::from([$(vals[$i].re),*]),
// im: <$t>::from([$(vals[$i].im),*]),
// }
// }
// }
// )*)
//);
//
//impl_simd_complex_from!(
// [f32; 2], f32, 0, 1;
// [f32; 4], f32, 0, 1, 2, 3;
// [f32; 8], f32, 0, 1, 2, 3, 4, 5, 6, 7;
// [f32; 16], f32, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15;
//);
//////////////////////////////////////////
// Aliases //
//////////////////////////////////////////
</span><span class="kw">pub type </span>AutoF32x2 = AutoSimd<[f32; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoF32x4 = AutoSimd<[f32; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoF32x8 = AutoSimd<[f32; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoF32x16 = AutoSimd<[f32; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoF64x2 = AutoSimd<[f64; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoF64x4 = AutoSimd<[f64; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoF64x8 = AutoSimd<[f64; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoI128x1 = AutoSimd<[i128; <span class="number">1</span>]>;
<span class="kw">pub type </span>AutoI128x2 = AutoSimd<[i128; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoI128x4 = AutoSimd<[i128; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoI16x2 = AutoSimd<[i16; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoI16x4 = AutoSimd<[i16; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoI16x8 = AutoSimd<[i16; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoI16x16 = AutoSimd<[i16; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoI16x32 = AutoSimd<[i16; <span class="number">32</span>]>;
<span class="kw">pub type </span>AutoI32x2 = AutoSimd<[i32; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoI32x4 = AutoSimd<[i32; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoI32x8 = AutoSimd<[i32; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoI32x16 = AutoSimd<[i32; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoI64x2 = AutoSimd<[i64; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoI64x4 = AutoSimd<[i64; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoI64x8 = AutoSimd<[i64; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoI8x2 = AutoSimd<[i8; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoI8x4 = AutoSimd<[i8; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoI8x8 = AutoSimd<[i8; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoI8x16 = AutoSimd<[i8; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoI8x32 = AutoSimd<[i8; <span class="number">32</span>]>;
<span class="comment">// pub type AutoI8x64 = AutoSimd<[i8; 64]>;
</span><span class="kw">pub type </span>AutoIsizex2 = AutoSimd<[isize; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoIsizex4 = AutoSimd<[isize; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoIsizex8 = AutoSimd<[isize; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoU128x1 = AutoSimd<[u128; <span class="number">1</span>]>;
<span class="kw">pub type </span>AutoU128x2 = AutoSimd<[u128; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoU128x4 = AutoSimd<[u128; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoU16x2 = AutoSimd<[u16; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoU16x4 = AutoSimd<[u16; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoU16x8 = AutoSimd<[u16; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoU16x16 = AutoSimd<[u16; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoU16x32 = AutoSimd<[u16; <span class="number">32</span>]>;
<span class="kw">pub type </span>AutoU32x2 = AutoSimd<[u32; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoU32x4 = AutoSimd<[u32; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoU32x8 = AutoSimd<[u32; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoU32x16 = AutoSimd<[u32; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoU64x2 = AutoSimd<[u64; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoU64x4 = AutoSimd<[u64; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoU64x8 = AutoSimd<[u64; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoU8x2 = AutoSimd<[u8; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoU8x4 = AutoSimd<[u8; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoU8x8 = AutoSimd<[u8; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoU8x16 = AutoSimd<[u8; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoU8x32 = AutoSimd<[u8; <span class="number">32</span>]>;
<span class="comment">// pub type AutoU8x64 = AutoSimd<[u8; 64]>;
</span><span class="kw">pub type </span>AutoUsizex2 = AutoSimd<[usize; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoUsizex4 = AutoSimd<[usize; <span class="number">4</span>]>;
<span class="kw">pub type </span>AutoUsizex8 = AutoSimd<[usize; <span class="number">8</span>]>;
<span class="kw">pub type </span>AutoBoolx1 = AutoSimd<[bool; <span class="number">1</span>]>;
<span class="kw">pub type </span>AutoBoolx16 = AutoSimd<[bool; <span class="number">16</span>]>;
<span class="kw">pub type </span>AutoBoolx2 = AutoSimd<[bool; <span class="number">2</span>]>;
<span class="kw">pub type </span>AutoBoolx32 = AutoSimd<[bool; <span class="number">32</span>]>;
<span class="kw">pub type </span>AutoBoolx4 = AutoSimd<[bool; <span class="number">4</span>]>;
<span class="comment">// pub type AutoBoolx64 = AutoSimd<[bool; 64]>;
</span><span class="kw">pub type </span>AutoBoolx8 = AutoSimd<[bool; <span class="number">8</span>]>;
<span class="comment">/*
* Helper trait to transform an array.
*/
</span><span class="kw">trait </span>ArrTransform: SimdValue {
<span class="kw">fn </span>map(<span class="self">self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element) -> <span class="self">Self</span>;
<span class="kw">fn </span>zip_map(
<span class="self">self</span>,
other: <span class="self">Self</span>,
f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element,
) -> <span class="self">Self</span>;
<span class="kw">fn </span>zip_zip_map(
<span class="self">self</span>,
b: <span class="self">Self</span>,
c: <span class="self">Self</span>,
f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> <span class="self">Self</span>::Element,
) -> <span class="self">Self</span>;
<span class="kw">fn </span>map_bool(<span class="self">self</span>, f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element) -> bool) -> <span class="self">Self</span>::SimdBool;
<span class="kw">fn </span>zip_map_bool(
<span class="self">self</span>,
other: <span class="self">Self</span>,
f: <span class="kw">impl </span>Fn(<span class="self">Self</span>::Element, <span class="self">Self</span>::Element) -> bool,
) -> <span class="self">Self</span>::SimdBool;
}
</code></pre></div>
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