{"id":53042,"date":"2025-08-11T23:29:28","date_gmt":"2025-08-11T15:29:28","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/53042.html"},"modified":"2025-08-11T23:29:28","modified_gmt":"2025-08-11T15:29:28","slug":"pytorch%e5%b8%b8%e7%94%a8%e5%ba%93%e5%87%bd%e6%95%b0%ef%bc%9atorch-acos-%e8%ae%a1%e7%ae%97%e5%bc%a0%e9%87%8f%e7%9a%84%e5%8f%8d%e4%bd%99%e5%bc%a6%e5%80%bc","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/53042.html","title":{"rendered":"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c"},"content":{"rendered":"

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" <\/p>\n

🎬 \u9e3d\u82b7\u5495：\u4e2a\u4eba\u4e3b\u9875<\/font><\/p>\n

\u00a0🔥 \u4e2a\u4eba\u4e13\u680f: \u300aC++\u5e72\u8d27\u57fa\u5730\u300b\u300a\u7c89\u4e1d\u798f\u5229\u300b<\/font><\/p>\n

\u26fa\ufe0f\u751f\u6d3b\u7684\u7406\u60f3，\u5c31\u662f\u4e3a\u4e86\u7406\u60f3\u7684\u751f\u6d3b! <\/font><\/p>\n

\n
    \n
  • \u535a\u4e3b\u7b80\u4ecb<\/li>\n<\/ul>\n

    \u535a\u4e3b\u81f4\u529b\u4e8e\u5d4c\u5165\u5f0f\u3001Python\u3001\u4eba\u5de5\u667a\u80fd\u3001C\/C++\u9886\u57df\u548c\u5404\u79cd\u524d\u6cbf\u6280\u672f\u7684\u4f18\u8d28\u535a\u5ba2\u5206\u4eab，\u7528\u6700\u4f18\u8d28\u7684\u5185\u5bb9\u5e26\u6765\u6700\u8212\u9002\u7684\u9605\u8bfb\u4f53\u9a8c！\u5728\u535a\u5ba2\u9886\u57df\u83b7\u5f97 C\/C++\u9886\u57df\u4f18\u8d28\u3001CSDN\u5e74\u5ea6\u5f81\u6587\u7b2c\u4e00\u3001\u6398\u91d12023\u5e74\u4eba\u6c14\u4f5c\u8005\u3001\u534e\u4e3a\u4e91\u4eab\u4e13\u5bb6\u3001\u652f\u4ed8\u5b9d\u5f00\u653e\u793e\u533a\u4f18\u8d28\u535a\u4e3b\u7b49\u5934\u8854\u3002<\/p>\n

      \n
    • \u4e2a\u4eba\u793e\u533a & \u4e2a\u4eba\u793e\u7fa4 \u52a0\u5165\u70b9\u51fb \u5373\u53ef<\/li>\n<\/ul>\n\n\u4ecb\u7ecd\u52a0\u5165\u94fe\u63a5<\/tr>\n\n\n\n
      \u4e2a\u4eba\u793e\u7fa4<\/td>\n\u793e\u7fa4\u5185\u5305\u542b\u5404\u4e2a\u65b9\u5411\u7684\u5f00\u53d1\u8005，\u6709\u591a\u5e74\u5f00\u53d1\u7ecf\u9a8c\u7684\u5927\u4f6c，\u4e00\u8d77\u76d1\u7763\u6253\u5361\u7684\u521b\u4f5c\u8005，\u5f00\u53d1\u8005\u3001\u5728\u6821\u751f\u3001\u8003\u7814\u515a\u3001\u5747\u53ef\u52a0\u5165\u5e76\u4e14\u54b1\u6bcf\u5468\u90fd\u4f1a\u6709\u7c89\u4e1d\u798f\u5229\u653e\u9001\u4fdd\u4f60\u6709\u6240\u6536\u83b7，\u4e00\u8d77 \u52a0\u5165\u6211\u4eec \u5171\u540c\u8fdb\u6b65\u5427！<\/td>\n<\/tr>\n
      \u4e2a\u4eba\u793e\u533a<\/td>\n\u70b9\u51fb\u5373\u53ef\u52a0\u5165 \u3010\u5495\u5495\u793e\u533a\u3011 ，\u8ba9\u6211\u4eec\u4e00\u8d77\u5171\u521b\u793e\u533a\u5185\u5bb9，\u8f93\u51fa\u4f18\u8d28\u6587\u7ae0\u6765\u8ba9\u4f60\u7684\u5199\u4f5c\u80fd\u529b\u66f4\u8fd1\u4e00\u6b65\u4e00\u8d77\u52a0\u6cb9！<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \u4e13\u680f\u8ba2\u9605\u63a8\u8350<\/h2>\n\n\u4e13\u680f\u540d\u79f0\u4e13\u680f\u4ecb\u7ecd<\/tr>\n\n\n\n\n\n\n\n\n
      \u79d1\u6280\u6742\u8c08<\/td>\n\u672c\u4e13\u680f\u662f\u4e00\u4e2a\u6c47\u805a\u5404\u7c7b\u79d1\u6280\u4ea7\u54c1\u6570\u7801\u7b49\u8bc4\u6d4b\u4f53\u9a8c\u5fc3\u5f97，\u65e0\u8bba\u662f\u786c\u4ef6\u5f00\u53d1\u3001\u8fd8\u662f\u5404\u79cd\u4ea7\u54c1\u4f53\u9a8c，\u60a8\u90fd\u53ef\u4ee5\u4f53\u9a8c\u5230\u524d\u6cbf\u79d1\u6280\u4ea7\u54c1\u7684\u9b45\u529b\u3002<\/td>\n<\/tr>\n
      C++\u5e72\u8d27\u57fa\u5730<\/td>\n\u672c\u4e13\u680f\u4e3b\u8981\u64b0\u5199\u6ee1\u6ee1\u5e72\u8d27\u5185\u5bb9\u4e0e\u5b9e\u7528\u7f16\u7a0b\u6280\u5de7\u4e0eC++\u5e72\u8d27\u5185\u5bb9\u548c\u7f16\u7a0b\u6280\u5de7，\u8ba9\u5927\u5bb6\u4ece\u5e95\u5c42\u4e86\u89e3C++\u638c\u63e1\u5404\u79cd\u5947\u6deb\u5f02\u6280，\u628a\u66f4\u591a\u7684\u77e5\u8bc6\u7531\u62bd\u8c61\u5230\u7b80\u5355\u901a\u4fd7\u6613\u61c2\u3002<\/td>\n<\/tr>\n
      \u300a\u6570\u636e\u7ed3\u6784&\u7b97\u6cd5\u300b<\/td>\n\u672c\u4e13\u680f\u4e3b\u8981\u662f\u6ce8\u91cd\u4ece\u5e95\u5c42\u6765\u7ed9\u5927\u5bb6\u4e00\u6b65\u6b65\u5256\u6790\u6570\u636e\u5b58\u50a8\u7684\u5965\u79d8，\u4eb2\u773c\u89c1\u8bc1\u6570\u636e\u662f\u5982\u4f55\u88ab\u5de7\u5999\u5b89\u7f6e\u548c\u7ec4\u7ec7\u7684，\u4ece\u800c\u5e2e\u52a9\u4f60\u6784\u5efa\u8d77\u5bf9\u6570\u636e\u5b58\u50a8\u624e\u5b9e\u800c\u6df1\u5165\u7684\u7406\u89e3\u3002<\/td>\n<\/tr>\n
      \u300adocker\u5bb9\u5668\u7cbe\u89e3\u7bc7\u300b<\/td>\n\u5168\u9762\u4e14\u6df1\u5165\u5730\u89e3\u6790 docker \u5bb9\u5668，\u5185\u5bb9\u4ece\u6700\u57fa\u7840\u7684\u77e5\u8bc6\u5f00\u59cb，\u9010\u6b65\u8fc8\u5411\u8fdb\u9636\u5185\u5bb9\u3002\u6db5\u76d6\u5176\u6838\u5fc3\u539f\u7406\u3001\u5404\u79cd\u64cd\u4f5c\u65b9\u6cd5\u4ee5\u53ca\u4e30\u5bcc\u7684\u5b9e\u8df5\u6848\u4f8b，\u5168\u65b9\u4f4d\u89e3\u6790\u8ba9\u4f60\u5403\u900f docker \u5bb9\u5668\u7cbe\u9ad3，\u4ece\u800c\u80fd\u5feb\u901f\u4e0a\u624b\u3002<\/td>\n<\/tr>\n
      \u300alinux\u6df1\u9020\u65e5\u5fd7\u300b<\/td>\n\u672c\u4e13\u680f\u7684\u6807\u9898\u7075\u611f\u662f\u6765\u81ealinux\u4e2d\u7cfb\u7edf\u4ea7\u751f\u7684\u7cfb\u7edf\u65e5\u5fd7，\u8be6\u7ec6\u8bb0\u5f55\u4e86\u4ece Linux \u57fa\u7840\u5230\u9ad8\u7ea7\u5e94\u7528\u7684\u6bcf\u4e00\u6b65，\u65e0\u8bba\u662f\u5185\u6838\u77e5\u8bc6\u3001\u6587\u4ef6\u7cfb\u7edf\u7ba1\u7406，\u8fd8\u662f\u7f51\u7edc\u914d\u7f6e\u3001\u5b89\u5168\u9632\u62a4\u7b49\u5185\u5bb9，\u90fd\u5c06\u6df1\u5165\u5256\u6790 Linux \u5b66\u4e60\u9053\u8def\u4e0a\u4e0d\u65ad\u6df1\u9020，\u9010\u6e10\u638c\u63e1 Linux \u7cfb\u7edf\u7684\u7cbe\u9ad3，\u6210\u4e3a Linux \u9886\u57df\u7684\u9ad8\u624b\u3002<\/td>\n<\/tr>\n
      \u300aC\u8bed\u8a00\u8fdb\u9636\u7bc7\u300b<\/td>\n\u60f3\u6210\u4e3a\u7f16\u7a0b\u9ad8\u624b\u561b？\u6765\u770b\u770b\u300aC\u8bed\u8a00\u8fdb\u9636\u7bc7\u300b\u6210\u4e3a\u7f16\u7a0b\u9ad8\u624b\u7684\u5fc5\u5b66\u77e5\u8bc6，\u5e26\u4f60\u4e00\u6b65\u6b65\u8ba4\u8bc6C\u8bed\u8a00\u6700\u6838\u5fc3\u6700\u5e95\u5c42\u539f\u7406，\u5168\u65b9\u4f4d\u89e3\u6790\u6307\u9488\u51fd\u6570\u7b49\u96be\u70b9\u3002<\/td>\n<\/tr>\n
      \u5199\u4f5c\u6280\u5de7<\/td>\n\u5199\u4f5c\u6da8\u7c89\u592a\u6162？\u4e0d\u77e5\u9053\u5982\u4f55\u5199\u535a\u5ba2？\u60f3\u6210\u4e3a\u4e00\u540d\u4f18\u8d28\u7684\u535a\u4e3b\u90a3\u4e48\u8fd9\u7bc7\u4e13\u680f\u4f60\u4e00\u5b9a\u8981\u53bb\u4e86\u89e3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \u6587\u7ae0\u76ee\u5f55<\/h4>\n
        \n
      • \u4e13\u680f\u8ba2\u9605\u63a8\u8350<\/li>\n
      • \n
          \n
        • \u5f15\u8a00<\/li>\n
        • torch.acos()\u529f\u80fd\u6982\u8ff0<\/li>\n
        • \u8bed\u6cd5\u4e0e\u53c2\u6570<\/li>\n
        • \n
            \n
          • \u51fd\u6570\u7b7e\u540d<\/li>\n
          • \u53c2\u6570\u8bf4\u660e<\/li>\n<\/ul>\n<\/li>\n
          • \u5e94\u7528\u573a\u666f\u4e0e\u4ee3\u7801\u793a\u4f8b<\/li>\n
          • \n
              \n
            • \u573a\u666f1：\u8ba1\u7b97\u5411\u91cf\u5939\u89d2<\/li>\n
            • \u573a\u666f2：\u7269\u7406\u6a21\u62df\u4e2d\u7684\u529b\u5206\u89e3<\/li>\n
            • \u573a\u666f3：\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u89d2\u5ea6\u6b63\u5219\u5316<\/li>\n
            • \u573a\u666f4：\u4fe1\u53f7\u5904\u7406\u4e2d\u7684\u76f8\u4f4d\u6062\u590d<\/li>\n<\/ul>\n<\/li>\n
            • \u5e38\u89c1\u9519\u8bef\u4e0e\u6ce8\u610f\u4e8b\u9879<\/li>\n
            • \n
                \n
              • 1. \u8f93\u5165\u503c\u8d85\u51fa\u8303\u56f4<\/li>\n
              • 2. \u6570\u503c\u7a33\u5b9a\u6027\u95ee\u9898<\/li>\n
              • 3. \u8f93\u51fa\u7c7b\u578b\u4e0e\u5f62\u72b6<\/li>\n
              • 4. \u6279\u91cf\u5904\u7406\u591a\u7ef4\u5f20\u91cf<\/li>\n<\/ul>\n<\/li>\n
              • \u603b\u7ed3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

                \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

                \u5f15\u8a00<\/h3>\n

                \u5728\u6df1\u5ea6\u5b66\u4e60\u548c\u79d1\u5b66\u8ba1\u7b97\u4e2d，\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u626e\u6f14\u7740\u91cd\u8981\u89d2\u8272\u3002PyTorch\u4f5c\u4e3a\u4e00\u6b3e\u5f3a\u5927\u7684\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6，\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u5e93，\u5176\u4e2dtorch.acos()\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c（\u5373arccos）\u3002\u672c\u6587\u5c06\u8be6\u7ec6\u4ecb\u7ecdtorch.acos()\u7684\u8bed\u6cd5\u3001\u53c2\u6570\u3001\u5e94\u7528\u573a\u666f\u53ca\u6ce8\u610f\u4e8b\u9879，\u5e76\u901a\u8fc7\u4ee3\u7801\u793a\u4f8b\u5c55\u793a\u5176\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n

                torch.acos()\u529f\u80fd\u6982\u8ff0<\/h3>\n

                torch.acos()\u662fPyTorch\u4e2d\u7684\u53cd\u4f59\u5f26\u51fd\u6570，\u7528\u4e8e\u8ba1\u7b97\u8f93\u5165\u5f20\u91cf\u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u53cd\u4f59\u5f26\u503c\u3002\u8fd4\u56de\u503c\u7684\u5355\u4f4d\u4e3a\u5f27\u5ea6，\u8303\u56f4\u5728[0, \u03c0]\u4e4b\u95f4\u3002 \u6570\u5b66\u5b9a\u4e49：\u82e5 ( x = \\\\cos(\\\\theta) )，\u5219 ( \\\\text{torch.acos}(x) = \\\\theta )，\u5176\u4e2d ( \\\\theta \\\\in [0, \\\\pi] )\u3002<\/p>\n

                \u8bed\u6cd5\u4e0e\u53c2\u6570<\/h3>\n

                \u51fd\u6570\u7b7e\u540d<\/h4>\n

                torch.<\/span>acos(<\/span>input<\/span>,<\/span> *<\/span>,<\/span> out=<\/span>None<\/span>)<\/span> \u2192 Tensor<\/p>\n

                \u53c2\u6570\u8bf4\u660e<\/h4>\n
                  \n
                • input (Tensor)：\u8f93\u5165\u5f20\u91cf，\u8981\u6c42\u5143\u7d20\u503c\u8303\u56f4\u5728[-1, 1]\u4e4b\u95f4\u3002\u82e5\u8d85\u51fa\u8303\u56f4，\u51fd\u6570\u4f1a\u8fd4\u56deNaN\u3002<\/li>\n
                • out (Tensor, \u53ef\u9009)：\u8f93\u51fa\u5f20\u91cf，\u7528\u4e8e\u5b58\u50a8\u8ba1\u7b97\u7ed3\u679c\u3002\u82e5\u6307\u5b9a，\u5219\u7ed3\u679c\u5c06\u5199\u5165\u8be5\u5f20\u91cf；\u5426\u5219，\u51fd\u6570\u4f1a\u521b\u5efa\u65b0\u5f20\u91cf\u5b58\u50a8\u7ed3\u679c\u3002<\/li>\n<\/ul>\n

                  \u5e94\u7528\u573a\u666f\u4e0e\u4ee3\u7801\u793a\u4f8b<\/h3>\n

                  \u573a\u666f1：\u8ba1\u7b97\u5411\u91cf\u5939\u89d2<\/h4>\n

                  \u5728\u51e0\u4f55\u8ba1\u7b97\u4e2d，\u901a\u8fc7\u70b9\u79ef\u516c\u5f0f\u8ba1\u7b97\u4e24\u4e2a\u5411\u91cf\u7684\u5939\u89d2\u662f\u5e38\u89c1\u9700\u6c42\u3002torch.acos()\u53ef\u9ad8\u6548\u5b9e\u73b0\u8fd9\u4e00\u529f\u80fd\u3002<\/p>\n

                  import<\/span> torch<\/p>\n

                  # \u5b9a\u4e49\u4e24\u4e2a\u5355\u4f4d\u5411\u91cf<\/span>
                  \na =<\/span> torch.<\/span>tensor(<\/span>[<\/span>1.0<\/span>,<\/span> 0.0<\/span>]<\/span>)<\/span>
                  \nb =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.707<\/span>,<\/span> 0.707<\/span>]<\/span>)<\/span> # \u7ea645\u5ea6<\/span><\/p>\n

                  # \u8ba1\u7b97\u70b9\u79ef\u5e76\u5f52\u4e00\u5316<\/span>
                  \ndot_product =<\/span> torch.<\/span>dot(<\/span>a,<\/span> b)<\/span> \/<\/span> (<\/span>torch.<\/span>norm(<\/span>a)<\/span> *<\/span> torch.<\/span>norm(<\/span>b)<\/span>)<\/span>
                  \nangle =<\/span> torch.<\/span>acos(<\/span>dot_product)<\/span> # \u7ed3\u679c\u7ea6\u4e3a\u03c0\/4 (0.7854\u5f27\u5ea6)<\/span><\/p>\n

                  print<\/span>(<\/span>f"\u5411\u91cf\u5939\u89d2: <\/span>{<\/span>angle.<\/span>item(<\/span>)<\/span>:<\/span>.4f<\/span>}<\/span><\/span>\u5f27\u5ea6"<\/span><\/span>)<\/span><\/p>\n

                  \u573a\u666f2：\u7269\u7406\u6a21\u62df\u4e2d\u7684\u529b\u5206\u89e3<\/h4>\n

                  \u5728\u7269\u7406\u6a21\u62df\u4e2d，\u529b\u7684\u5206\u89e3\u9700\u8981\u8ba1\u7b97\u65b9\u5411\u4e0e\u5750\u6807\u8f74\u7684\u5939\u89d2\u3002torch.acos()\u53ef\u8f85\u52a9\u5b9e\u73b0\u8fd9\u4e00\u8fc7\u7a0b\u3002<\/p>\n

                  force_magnitude =<\/span> torch.<\/span>tensor(<\/span>[<\/span>10.0<\/span>]<\/span>)<\/span>
                  \nangle_degrees =<\/span> torch.<\/span>tensor(<\/span>[<\/span>30.0<\/span>]<\/span>)<\/span> # 30\u5ea6<\/span>
                  \nangle_radians =<\/span> torch.<\/span>deg2rad(<\/span>angle_degrees)<\/span><\/p>\n

                  # \u8ba1\u7b97\u6c34\u5e73\u548c\u5782\u76f4\u5206\u91cf<\/span>
                  \nhorizontal =<\/span> force_magnitude *<\/span> torch.<\/span>cos(<\/span>angle_radians)<\/span>
                  \nvertical =<\/span> force_magnitude *<\/span> torch.<\/span>sin(<\/span>angle_radians)<\/span><\/p>\n

                  # \u9a8c\u8bc1\u53cd\u4e09\u89d2\u51fd\u6570<\/span>
                  \nrecovered_angle =<\/span> torch.<\/span>acos(<\/span>horizontal \/<\/span> force_magnitude)<\/span>
                  \nprint<\/span>(<\/span>f"\u6062\u590d\u7684\u89d2\u5ea6: <\/span>{<\/span>torch.<\/span>rad2deg(<\/span>recovered_angle)<\/span>.<\/span>item(<\/span>)<\/span>:<\/span>.2f<\/span>}<\/span><\/span>\u5ea6"<\/span><\/span>)<\/span><\/p>\n

                  \u573a\u666f3：\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u89d2\u5ea6\u6b63\u5219\u5316<\/h4>\n

                  \u5728\u67d0\u4e9b\u6a21\u578b\u4e2d，\u9700\u8981\u7ea6\u675f\u7279\u5f81\u5411\u91cf\u7684\u5939\u89d2\u4e0d\u8d85\u8fc7\u9608\u503c\u3002torch.acos()\u53ef\u7528\u4e8e\u8ba1\u7b97\u5939\u89d2\u5e76\u8bbe\u8ba1\u6b63\u5219\u5316\u9879\u3002<\/p>\n

                  def<\/span> angle_regularization<\/span>(<\/span>feature1,<\/span> feature2,<\/span> max_angle_radians)<\/span>:<\/span>
                  \n dot_product =<\/span> torch.<\/span>dot(<\/span>feature1,<\/span> feature2)<\/span>
                  \n angle =<\/span> torch.<\/span>acos(<\/span>dot_product)<\/span>
                  \n return<\/span> torch.<\/span>relu(<\/span>angle –<\/span> max_angle_radians)<\/span> # \u8d85\u8fc7\u9608\u503c\u65f6\u4ea7\u751f\u60e9\u7f5a<\/span><\/p>\n

                  # \u793a\u4f8b<\/span>
                  \nfeature1 =<\/span> torch.<\/span>tensor(<\/span>[<\/span>1.0<\/span>,<\/span> 0.0<\/span>]<\/span>)<\/span>
                  \nfeature2 =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.866<\/span>,<\/span> 0.5<\/span>]<\/span>)<\/span> # \u7ea630\u5ea6\u5939\u89d2<\/span>
                  \nloss =<\/span> angle_regularization(<\/span>feature1,<\/span> feature2,<\/span> torch.<\/span>pi \/<\/span> 6<\/span>)<\/span>
                  \nprint<\/span>(<\/span>f"\u89d2\u5ea6\u6b63\u5219\u5316\u635f\u5931: <\/span>{<\/span>loss.<\/span>item(<\/span>)<\/span>:<\/span>.4f<\/span>}<\/span><\/span>"<\/span><\/span>)<\/span><\/p>\n

                  \u573a\u666f4：\u4fe1\u53f7\u5904\u7406\u4e2d\u7684\u76f8\u4f4d\u6062\u590d<\/h4>\n

                  \u5728\u4fe1\u53f7\u5904\u7406\u4e2d，torch.acos()\u53ef\u7528\u4e8e\u6062\u590d\u590d\u6570\u4fe1\u53f7\u7684\u76f8\u4f4d\u4fe1\u606f\u3002<\/p>\n

                  # \u5047\u8bbe\u590d\u6570\u4fe1\u53f7\u7684\u5b9e\u90e8\u548c\u865a\u90e8<\/span>
                  \nreal =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.707<\/span>]<\/span>)<\/span>
                  \nimag =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.707<\/span>]<\/span>)<\/span><\/p>\n

                  # \u8ba1\u7b97\u76f8\u4f4d\u89d2<\/span>
                  \nmagnitude =<\/span> torch.<\/span>sqrt(<\/span>real**<\/span>2<\/span> +<\/span> imag**<\/span>2<\/span>)<\/span>
                  \ncos_phase =<\/span> real \/<\/span> magnitude
                  \nphase =<\/span> torch.<\/span>acos(<\/span>cos_phase)<\/span> # \u7ed3\u679c\u5e94\u4e3a\u03c0\/4<\/span><\/p>\n

                  print<\/span>(<\/span>f"\u4fe1\u53f7\u76f8\u4f4d: <\/span>{<\/span>phase.<\/span>item(<\/span>)<\/span>:<\/span>.4f<\/span>}<\/span><\/span>\u5f27\u5ea6"<\/span><\/span>)<\/span><\/p>\n

                  \u5e38\u89c1\u9519\u8bef\u4e0e\u6ce8\u610f\u4e8b\u9879<\/h3>\n

                  1. \u8f93\u5165\u503c\u8d85\u51fa\u8303\u56f4<\/h4>\n

                  \u82e5\u8f93\u5165\u5143\u7d20\u4e0d\u5728[-1, 1]\u8303\u56f4\u5185，torch.acos()\u4f1a\u8fd4\u56deNaN\u3002<\/p>\n

                  x =<\/span> torch.<\/span>tensor(<\/span>[<\/span>1.5<\/span>]<\/span>)<\/span>
                  \nresult =<\/span> torch.<\/span>acos(<\/span>x)<\/span> # \u8fd4\u56de tensor([nan])<\/span><\/p>\n

                  \u89e3\u51b3\u65b9\u6cd5：\u4f7f\u7528torch.clamp(input, -1, 1)\u786e\u4fdd\u8f93\u5165\u5408\u6cd5\u3002<\/p>\n

                  2. \u6570\u503c\u7a33\u5b9a\u6027\u95ee\u9898<\/h4>\n

                  \u5f53\u8f93\u5165\u63a5\u8fd1\u00b11\u65f6，\u5fae\u5c0f\u6570\u503c\u8bef\u5dee\u53ef\u80fd\u5bfc\u81f4\u8f93\u51fa\u6ce2\u52a8\u8f83\u5927\u3002<\/p>\n

                  x =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.999999<\/span>]<\/span>)<\/span>
                  \nresult =<\/span> torch.<\/span>acos(<\/span>x)<\/span> # \u7ed3\u679c\u63a5\u8fd10，\u4f46\u53ef\u80fd\u6709\u5fae\u5c0f\u8bef\u5dee<\/span><\/p>\n

                  \u89e3\u51b3\u65b9\u6cd5：\u82e5\u7cbe\u5ea6\u8981\u6c42\u9ad8，\u53ef\u4f7f\u7528\u66f4\u7a33\u5b9a\u7684\u7b97\u6cd5\u6216\u589e\u52a0\u6570\u503c\u7cbe\u5ea6（\u5982torch.float64）\u3002<\/p>\n

                  3. \u8f93\u51fa\u7c7b\u578b\u4e0e\u5f62\u72b6<\/h4>\n

                  \u8f93\u51fa\u5f20\u91cf\u7684dtype\u548cdevice\u4e0e\u8f93\u5165\u4e00\u81f4\u3002<\/p>\n

                  x =<\/span> torch.<\/span>tensor(<\/span>[<\/span>0.5<\/span>]<\/span>,<\/span> dtype=<\/span>torch.<\/span>float16)<\/span>
                  \nresult =<\/span> torch.<\/span>acos(<\/span>x)<\/span> # \u8f93\u51fadtype\u4e3afloat16<\/span><\/p>\n

                  \u6ce8\u610f：\u82e5\u9700\u8981\u7279\u5b9adtype，\u53ef\u5728\u8f93\u5165\u65f6\u6307\u5b9a\u6216\u4f7f\u7528output.to(dtype)\u8f6c\u6362\u3002<\/p>\n

                  4. \u6279\u91cf\u5904\u7406\u591a\u7ef4\u5f20\u91cf<\/h4>\n

                  torch.acos()\u5bf9\u6bcf\u4e2a\u5143\u7d20\u72ec\u7acb\u8ba1\u7b97，\u53ef\u5904\u7406\u4efb\u610f\u5f62\u72b6\u7684\u5f20\u91cf\u3002<\/p>\n

                  x =<\/span> torch.<\/span>tensor(<\/span>[<\/span>[<\/span>0.0<\/span>,<\/span> 0.5<\/span>]<\/span>,<\/span> [<\/span>0.707<\/span>,<\/span> 1.0<\/span>]<\/span>]<\/span>)<\/span>
                  \nresult =<\/span> torch.<\/span>acos(<\/span>x)<\/span> # \u5bf9\u6bcf\u4e2a\u5143\u7d20\u8ba1\u7b97\u53cd\u4f59\u5f26<\/span>
                  \nprint<\/span>(<\/span>result)<\/span>
                  \n# \u8f93\u51fa:<\/span>
                  \n# tensor([[1.5708, 1.0472],<\/span>
                  \n# [0.7854, 0.0000]])<\/span><\/p>\n

                  \u603b\u7ed3<\/h3>\n

                  torch.acos()\u662fPyTorch\u4e2d\u8ba1\u7b97\u53cd\u4f59\u5f26\u7684\u57fa\u7840\u51fd\u6570，\u5e7f\u6cdb\u5e94\u7528\u4e8e\u51e0\u4f55\u8ba1\u7b97\u3001\u7269\u7406\u6a21\u62df\u3001\u4fe1\u53f7\u5904\u7406\u7b49\u9886\u57df\u3002\u4f7f\u7528\u65f6\u9700\u7279\u522b\u6ce8\u610f\u8f93\u5165\u503c\u7684\u8303\u56f4\u548c\u6570\u503c\u7a33\u5b9a\u6027，\u907f\u514d\u4ea7\u751fNaN\u6216\u7cbe\u5ea6\u635f\u5931\u3002\u901a\u8fc7\u5408\u7406\u7684\u8f93\u5165\u9884\u5904\u7406\u548c\u7c7b\u578b\u63a7\u5236，\u53ef\u4ee5\u6709\u6548\u63d0\u5347\u8ba1\u7b97\u7684\u53ef\u9760\u6027\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

                  \u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb93\u6b21\u3002\u5728\u6df1\u5ea6\u5b66\u4e60\u548c\u79d1\u5b66\u8ba1\u7b97\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u626e\u6f14\u7740\u91cd\u8981\u89d2\u8272\u3002PyTorch\u4f5c\u4e3a\u4e00\u6b3e\u5f3a\u5927\u7684\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6\uff0c\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u5e93\uff0c\u5176\u4e2d`torch.acos()`\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c\uff08\u5373arccos\uff09\u3002\u672c\u6587\u5c06\u8be6\u7ec6\u4ecb\u7ecd`torch.acos()`\u7684\u8bed\u6cd5\u3001\u53c2\u6570\u3001\u5e94\u7528\u573a\u666f\u53ca\u6ce8\u610f\u4e8b\u9879\uff0c\u5e76\u901a\u8fc7\u4ee3\u7801\u793a\u4f8b\u5c55\u793a\u5176\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n","protected":false},"author":2,"featured_media":53040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[81,152,50],"topic":[],"class_list":["post-53042","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-python","tag-pytorch","tag-50"],"yoast_head":"\nPyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/53042.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb93\u6b21\u3002\u5728\u6df1\u5ea6\u5b66\u4e60\u548c\u79d1\u5b66\u8ba1\u7b97\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u626e\u6f14\u7740\u91cd\u8981\u89d2\u8272\u3002PyTorch\u4f5c\u4e3a\u4e00\u6b3e\u5f3a\u5927\u7684\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6\uff0c\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u5e93\uff0c\u5176\u4e2d`torch.acos()`\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c\uff08\u5373arccos\uff09\u3002\u672c\u6587\u5c06\u8be6\u7ec6\u4ecb\u7ecd`torch.acos()`\u7684\u8bed\u6cd5\u3001\u53c2\u6570\u3001\u5e94\u7528\u573a\u666f\u53ca\u6ce8\u610f\u4e8b\u9879\uff0c\u5e76\u901a\u8fc7\u4ee3\u7801\u793a\u4f8b\u5c55\u793a\u5176\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/53042.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2025-08-11T15:29:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811152926-689a0c56788bc.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/53042.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/53042.html\",\"name\":\"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2025-08-11T15:29:28+00:00\",\"dateModified\":\"2025-08-11T15:29:28+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/53042.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/53042.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/53042.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/53042.html","og_locale":"zh_CN","og_type":"article","og_title":"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb93\u6b21\u3002\u5728\u6df1\u5ea6\u5b66\u4e60\u548c\u79d1\u5b66\u8ba1\u7b97\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u626e\u6f14\u7740\u91cd\u8981\u89d2\u8272\u3002PyTorch\u4f5c\u4e3a\u4e00\u6b3e\u5f3a\u5927\u7684\u6df1\u5ea6\u5b66\u4e60\u6846\u67b6\uff0c\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u5e93\uff0c\u5176\u4e2d`torch.acos()`\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c\uff08\u5373arccos\uff09\u3002\u672c\u6587\u5c06\u8be6\u7ec6\u4ecb\u7ecd`torch.acos()`\u7684\u8bed\u6cd5\u3001\u53c2\u6570\u3001\u5e94\u7528\u573a\u666f\u53ca\u6ce8\u610f\u4e8b\u9879\uff0c\u5e76\u901a\u8fc7\u4ee3\u7801\u793a\u4f8b\u5c55\u793a\u5176\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002","og_url":"https:\/\/www.wsisp.com\/helps\/53042.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2025-08-11T15:29:28+00:00","og_image":[{"url":"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811152926-689a0c56788bc.png"}],"author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"2 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/53042.html","url":"https:\/\/www.wsisp.com\/helps\/53042.html","name":"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2025-08-11T15:29:28+00:00","dateModified":"2025-08-11T15:29:28+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/53042.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/53042.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/53042.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"PyTorch\u5e38\u7528\u5e93\u51fd\u6570\uff1atorch.acos()\u2014\u2014\u8ba1\u7b97\u5f20\u91cf\u7684\u53cd\u4f59\u5f26\u503c"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/53042","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=53042"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/53042\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media\/53040"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=53042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=53042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=53042"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=53042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}