{"id":1164,"date":"2017-08-13T09:10:29","date_gmt":"2017-08-13T07:10:29","guid":{"rendered":"http:\/\/darksun190.cn\/?p=1164"},"modified":"2017-08-13T09:10:29","modified_gmt":"2017-08-13T07:10:29","slug":"%e4%b8%a4%e4%b8%aa%e5%90%91%e9%87%8f%e7%9a%84%e5%8f%89%e7%a7%af%e5%ae%9e%e7%8e%b0","status":"publish","type":"post","link":"http:\/\/darksun190.cn\/blog\/?p=1164","title":{"rendered":"\u4e24\u4e2a\u5411\u91cf\u7684\u53c9\u79ef\u5b9e\u73b0"},"content":{"rendered":"<p>\u9700\u6c42\u662f\uff0c\u6839\u636e\u5750\u6807\u7cfb\u7684\u4e24\u4e2a\u8f74\uff08\u5411\u91cf\uff09\uff0c\u6c42\u51fa\u53e6\u5916\u4e00\u4e2a\u8f74\uff0c\u7531\u4e8e\u6211\u9ad8\u6570\u4e0b\uff08\u89e3\u6790\u51e0\u4f55\uff09\u4e0d\u53ca\u683c\uff0c\u6240\u4ee5\u4e00\u76f4\u6ca1\u6709\u60f3\u8d77\u6765\u5bf9\u5e94\u7684\u5b9a\u4e49\u3002\u4e4b\u524d\u81ea\u5df1\u89e3\u51b3\u7684\u529e\u6cd5\u662f\uff0c\u6c42\u51fa\u8fd9\u4e24\u4e2a\u5411\u91cf\u6784\u9020\u7684\u5e73\u9762\uff0c\u7136\u540e\u5e73\u9762\u7684\u6cd5\u5411\u5c31\u662f\u89e3\u3002<\/p>\n<p>\u4eca\u5929\u5728\u5199\u6211\u7684GDTGeometry\u5e93\u65f6\u53c8\u9047\u5230\u8fd9\u4e2a\u95ee\u9898\uff0c\u8fd9\u6b21\u5148\u53bb\u7ffb\u4e86\u7ffb\u65b0\u4e70\u7684\u9ad8\u6570\u4e0b\u6559\u6750\uff0c\u53d1\u73b0\u8fd9\u5c31\u662f\u5411\u91cf\u53c9\u79ef\u7684\u5b9a\u4e49\uff0c\u53ef\u60dc\u5f53\u521d\u5e76\u6ca1\u6709\u8bb0\u7262\u3002\u4e8e\u662f\u60f3\u76f4\u63a5\u5728MathNet\u5e93\u91cc\u627e\uff0c\u7ed3\u679c\u91cc\u9762\u53ea\u6709multiply\uff08\u70b9\u79ef\uff09\u548cpointwise-multiply\uff08\u9010\u70b9\u4e58\u79ef\uff09\uff0c\u53c8\u7279\u610f\u627e\u4e86\u4e0b\u7ffb\u8bd1\u53c9\u79ef\u662fCross-Multiply\uff0c\u6211\u89c9\u5f97\u50cf\u57fa\u7840\u8bfe\u7684\u5f88\u591a\u5b9a\u4e49\uff0c\u5e94\u8be5\u52a0\u4e0a\u82f1\u6587\u6ce8\u91ca\u3002<\/p>\n<p>\u641c\u4e86\u4e0bmathnet cross multiply\uff0c\u627e\u5230\u4e86stack overflow\u4e0a\u7684<a href=\"https:\/\/stackoverflow.com\/questions\/11759720\/cross-product-using-math-net-numerics-with-c-sharp\">\u4e00\u7bc7\u95ee\u7b54<\/a>\uff0c\u8fd9\u4e2a\u51fd\u6570\u5728Iridium\u5b50\u5e93\u91cc\u5b9e\u73b0\uff0c\u4e0d\u8fc7\u8fd9\u4e2a\u5e93\u5df2\u7ecf\u592a\u76d1\u4e86\uff0c\u800c\u4e142012\u5e74\u5c31\u592a\u76d1\u4e86\uff0c\u5230\u73b0\u5728\u8fd8\u6ca1\u6709\u6574\u5408\u5230numerics\uff08\u4e3b\u5e93\u91cc\uff09\uff0c\u7b80\u76f4\u662f\u65e0\u8bed\uff0c\u6211\u5f88\u60f3\u8bf4\u8fd9\u4e48\u4e2a\u7b80\u5355\u7684\u529f\u80fd\u6211commit\u4e00\u4e2apatch\u5427\uff0c\u4e0d\u8fc7\u4ed4\u7ec6\u60f3\u4e86\u4e0b\uff0c\u95ee\u9898\u5e94\u8be5\u51fa\u5728\u53c9\u79ef\u901a\u5e38\u53ea\u7528\u57283\u7ef4\u7a7a\u95f4\u91cc\uff0c\u4f4e\u7ef4\u548c\u9ad8\u7ef4\u7684\u63a8\u5e7f\u597d\u50cf\u90fd\u6709\u70b9\u95ee\u9898\u3002<\/p>\n<p>overflow\u4e0a\u7684\u56de\u7b54\u91cc\u5df2\u7ecf\u6709\u4e86\u6211\u8981\u7684\u4ee3\u7801\uff1a<\/p>\n<pre class=\"lang:c# decode:true \">    using DLA = MathNet.Numerics.LinearAlgebra.Double;\n\n    public static DLA.Vector Cross(DLA.Vector left, DLA.Vector right)\n    {\n        if ((left.Count != 3 || right.Count != 3))\n        {\n            string message = \"Vectors must have a length of 3.\";\n            throw new Exception(message);\n        }\n        DLA.Vector result = new DLA.DenseVector(3);\n        result[0] = left[1] * right[2] - left[2] * right[1];\n        result[1] = -left[0] * right[2] + left[2] * right[0];\n        result[2] = left[0] * right[1] - left[1] * right[0];\n\n        return result;\n    }<\/pre>\n<p>\u9488\u5bf9\u4e09\u7ef4\u5411\u91cf\u3002<\/p>\n<p>\u63a8\u5bfc\u5728\u9ad8\u6570\u4e0b\u6559\u6750\u4e0a\u6709\uff0c\u548c\u6211\u4e00\u6837\u6570\u5b66\u5dee\u7684\u53ef\u4ee5\u53bb\u67e5\u3002\u7ed3\u8bba\u662f<\/p>\n<p>\\[c=a\\times b=\\begin{vmatrix}i&amp;j&amp;k\\\\a_x&amp;a_y&amp;a_z\\\\b_x&amp;b_y&amp;b_z\\end{vmatrix}\\]<\/p>\n<p>\u6240\u4ee5<\/p>\n<p>\\[i_c=\\begin{vmatrix}a_y&amp;a_z\\\\b_y&amp;b_z\\end{vmatrix}\\]<\/p>\n<p>\\[j_c=-\\begin{vmatrix}a_x&amp;a_z\\\\b_x&amp;b_z\\end{vmatrix}\\]<\/p>\n<p>\\[k_c=\\begin{vmatrix}a_x&amp;a_y\\\\b_x&amp;b_y\\end{vmatrix}\\]<\/p>\n<p>\u5f00\u59cb\u60f3\u628a\u8fd9\u90e8\u5206\u5199\u6210DenseVector\u7684\u6269\u5c55\u51fd\u6570\uff0c\u540e\u6765\u60f3\u60f3\u65e2\u7136\u53ea\u80fd\u7528\u57283\u7ef4\u5411\u91cf\u4e0a\uff0c\u5c31\u653e\u5230\u81ea\u5df1\u7684Vector\uff08\u4e09\u7ef4\uff09\u7c7b\u91cc\u4e86\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9700\u6c42\u662f\uff0c\u6839\u636e\u5750\u6807\u7cfb\u7684\u4e24\u4e2a\u8f74\uff08\u5411\u91cf\uff09\uff0c\u6c42\u51fa\u53e6\u5916\u4e00\u4e2a\u8f74\uff0c\u7531\u4e8e\u6211\u9ad8\u6570\u4e0b\uff08\u89e3\u6790\u51e0\u4f55\uff09\u4e0d\u53ca\u683c\uff0c\u6240\u4ee5\u4e00\u76f4\u6ca1\u6709\u60f3\u8d77\u6765\u5bf9\u5e94\u7684\u5b9a &hellip; <a href=\"http:\/\/darksun190.cn\/blog\/?p=1164\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u4e24\u4e2a\u5411\u91cf\u7684\u53c9\u79ef\u5b9e\u73b0\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1164","post","type-post","status-publish","format-standard","hentry","category-cs"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1164"}],"version-history":[{"count":0,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1164\/revisions"}],"wp:attachment":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1164"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}