{"id":411,"date":"2019-12-02T20:26:41","date_gmt":"2019-12-02T12:26:41","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=411"},"modified":"2021-04-24T15:39:29","modified_gmt":"2021-04-24T07:39:29","slug":"rotate","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2019\/12\/02\/rotate\/","title":{"rendered":"\u8ba1\u7b97\u5411\u91cf\u4e4b\u95f4\u7684\u65cb\u8f6c"},"content":{"rendered":"<p><script type=\"text\/javascript\" async src=\"https:\/\/www.caiqinyi.cn\/wp-content\/MathJax\/MathJax.js?config=TeX-AMS_CHTML\">\n<\/script><br \/>\n<script type=\"text\/x-mathjax-config\">\n    MathJax.Hub.Config({\n        tex2jax: {inlineMath: [['$','$']]},\n        TeX: {equationNumbers: {autoNumber: [\"AMS\"], useLabelIds: true}},\n        \"HTML-CSS\": {linebreaks: {automatic: true}},\n        SVG: {linebreaks: {automatic: true}}\n    });\n<\/script><\/p>\n<p>\u524d\u51e0\u5929\u5728\u54aa\u5495\u5de5\u4f5c\u65f6\u78b0\u5230\u4e86\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898: \u7ed8\u5236\u5706\u67f1\u4f53\u65f6\u5706\u67f1\u4f53\u9ed8\u8ba4\u671d\u5411z\u8f74\u6b63\u5411(\u5c4f\u5e55\u5916), \u73b0\u5728\u9700\u8981\u5c06\u5176\u8f6c\u81f3\u4efb\u610f\u65b9\u5411, \u4ee5\u6b64\u7ed8\u5236\u4efb\u610f\u65b9\u5411\u4e0a\u7684\u5706\u67f1\u4f53, \u672c\u6765\u4ee5\u4e3a\u8fd9\u4e2a\u95ee\u9898\u5f88\u7b80\u5355, \u4f46\u5c45\u7136\u4e5f\u56f0\u4e86\u6211\u4e24\u4e2a\u5c0f\u65f6, \u4f5c\u4e3a\u6570\u5b66\u7cfb\u7684\u5b66\u751f\u6765\u8bf4\u771f\u662f\u7f9e\u803bQAQ<\/p>\n<p><!--more--><\/p>\n<p>\u9996\u5148\u9700\u8981\u8ba1\u7b97\u65cb\u8f6c\u8f74, \u76f4\u63a5\u5c06\u5f53\u524d\u65b9\u5411(\u5373(0,0,1)) \u4e0e\u76ee\u6807\u65b9\u5411$d$\u53c9\u4e58\u5f97\u5230\u7684\u5411\u91cf\u518d\u8fdb\u884c\u5f52\u4e00\u5316(\u5e94\u8be5\u4e5f\u53ef\u4ee5\u4e0d\u8fdb\u884c\u5f52\u4e00\u5316) \u4f5c\u4e3a\u65cb\u8f6c\u8f74\u5373\u53ef.<\/p>\n<p>\u81f3\u4e8e\u65cb\u8f6c\u89d2\u5ea6, \u76f4\u63a5\u901a\u8fc7\u8ba1\u7b97\u5f53\u524d\u65b9\u5411(\u5373(0,0,1)) \u4e0e\u76ee\u6807\u65b9\u5411$d$\u7684\u5185\u79ef\u5e76\u6c42\u5176\u53cd\u4f59\u5f26\u503c\u5373\u53ef\u5f97\u5230, \u6838\u5fc3\u4ee3\u7801\u5982\u4e0b\u6240\u793a:<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"C++\" data-enlighter-theme=\"monokai\">\r\nglPushMatrix();\r\nglm::vec3 v1(0, 0, 1);\r\nglm::vec3 v2(p1->x - p0->x, p1->y - p0->y, p1->z - p0->z);\r\nfloat dotVal = glm::dot(v1, v2);\r\nfloat rotateTheta = glm::acos(glm::dot(v1, v2) \/ glm::length(v2));\r\n\r\nglTranslatef(p0->x, p0->y, p0->z);\r\nglm::vec3 rotateAxis = glm::normalize(glm::cross(v1, v2));\r\nglRotatef(rotateTheta*180.0f \/ PI, rotateAxis.x, rotateAxis.y, rotateAxis.z);\r\n\r\n\/\/glm::mat3 rotateMatrix = glm::mat3(1.0);\r\n\/\/if (!(fabs(rotateTheta) &lt; 1e-7 || fabs(rotateTheta - PI) &lt; 1e-7)) {\r\n\/\/\tglm::vec3 rotateAxis = glm::normalize(glm::cross(v1, v2));\r\n\/\/\tglRotatef(rotateTheta*180.0f \/ PI, rotateAxis.x, rotateAxis.y, rotateAxis.z);\r\n\/\/\tglm::mat3 rotateMatrix = glm::rotate(glm::mat4(1.0f), -rotateTheta, rotateAxis);\r\n\/\/}\r\n\/\/glm::vec3 rotate_p0 = rotateMatrix*glm::vec3(p0->x, p0->y, p0->z);\r\n\/\/glTranslatef(rotate_p0.x, rotate_p0.y, rotate_p0.z);\r\n\/\/glm::vec3 rotate_p01 = rotateMatrix*v2;\r\n\r\nif (cm == 2) gluSphere(cylinder, CYLINDER_RADIUS, CYLINDER_SLICES, CYLINDER_SLICES);\r\nfloat cylinderHeight = glm::length(glm::vec3(p1->x - p0->x, p1->y - p0->y, p1->z - p0->z));\r\ngluCylinder(cylinder, CYLINDER_RADIUS, CYLINDER_RADIUS, cylinderHeight, CYLINDER_SLICES, CYLINDER_SLICES);\r\nglPopMatrix();\r\nglPushMatrix();\r\nglTranslatef(p1->x, p1->y, p1->z);\r\nif (cm == 2) gluSphere(cylinder, CYLINDER_RADIUS, CYLINDER_SLICES, CYLINDER_SLICES);\r\nglPopMatrix();\r\n<\/pre>\n<p>\u4e3b\u8981\u662f\u7528glm\u5b9e\u73b0\u7684, \u6709\u4e24\u70b9\u9700\u8981\u6ce8\u610f\u4e0b:<br \/>\n1. \u901a\u8fc7glm::acos\u51fd\u6570\u5f97\u5230\u7684\u5ea6\u6570\u662f\u9075\u5faa\u5f27\u5ea6\u5236\u800c\u975e\u89d2\u5ea6\u5236, \u6240\u4ee5\u5728\u7528glRotatef\u51fd\u6570\u8fdb\u884c\u65cb\u8f6c\u65f6\u8fd8\u9700\u8981\u5c06\u5176\u8f6c\u4e3a\u89d2\u5ea6\u5236.<br \/>\n2. glPushMatrix()\u548cglPopMatrix()\u662f\u4e24\u4e2a\u597d\u4e1c\u897f, \u53ef\u4ee5\u6d88\u9664\u4e0a\u4e00\u6b21\u7684\u53d8\u6362\u5bf9\u672c\u6b21\u53d8\u6362\u7684\u5f71\u54cd, \u4f7f\u672c\u6b21\u53d8\u6362\u662f\u4ee5\u4e16\u754c\u5750\u6807\u7cfb\u7684\u539f\u70b9\u4e3a\u53c2\u8003\u70b9\u8fdb\u884c. \u56e0\u4e3a\u4f7f\u7528glRotatef\u51fd\u6570\u8fdb\u884c\u65cb\u8f6c\u65f6\u5176\u5750\u6807\u7cfb\u4e5f\u76f8\u5e94\u5730\u8fdb\u884c\u4e86\u65cb\u8f6c, \u5982\u679c\u4e0d\u4f7f\u7528glPushMatrix()\u548cglPopMatrix()\u7684\u8bdd\u5c31\u9700\u8981\u8ba1\u7b97\u5706\u67f1\u4f53\u7684\u65b9\u5411\u5411\u91cf\u5728\u65b0\u7684\u5750\u6807\u7cfb\u4e0b\u7684\u5750\u6807, \u4e3a\u4e86\u65b9\u4fbf\u4fbf\u518d\u6b21\u8f6c\u56de\u4e16\u754c\u5750\u6807\u7cfb\u4e86. (\u5176\u5b9e\u5c31\u662f\u5bf9\u8fd9\u5750\u6807\u7cfb\u7684\u8f6c\u6362\u6709\u70b9\u5934\u6655. \u7f9e\u803bQAQ)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u51e0\u5929\u5728\u54aa\u5495\u5de5\u4f5c\u65f6\u78b0\u5230\u4e86\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898: \u7ed8\u5236\u5706\u67f1\u4f53\u65f6\u5706\u67f1\u4f53\u9ed8\u8ba4\u671d\u5411z\u8f74\u6b63\u5411(\u5c4f\u5e55\u5916), \u73b0\u5728\u9700\u8981\u5c06\u5176\u8f6c\u81f3\u4efb\u610f\u65b9 &hellip; <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2019\/12\/02\/rotate\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u8ba1\u7b97\u5411\u91cf\u4e4b\u95f4\u7684\u65cb\u8f6c<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/411"}],"collection":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/comments?post=411"}],"version-history":[{"count":6,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/411\/revisions"}],"predecessor-version":[{"id":415,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/411\/revisions\/415"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=411"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=411"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}