{"id":10742,"date":"2022-09-24T20:23:17","date_gmt":"2022-09-24T14:53:17","guid":{"rendered":"http:\/\/jassweb.com\/solved\/solved-how-to-calculate-shortest-distance-from-path\/"},"modified":"2022-09-24T20:23:17","modified_gmt":"2022-09-24T14:53:17","slug":"solved-how-to-calculate-shortest-distance-from-path","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-how-to-calculate-shortest-distance-from-path\/","title":{"rendered":"[Solved] How to calculate shortest distance from path?"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-40985147\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"40985147\" data-parentid=\"40704321\" data-score=\"0\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<ol>\n<li>\n<p><strong>Mathematically<\/strong> :<\/p>\n<p>As explained in <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Distance_from_a_point_to_a_line\">wikipedia<\/a><br \/>\nthe shortest distance between a line and a dot, can be calculated as<br \/>\nfollows:<\/p>\n<\/li>\n<\/ol>\n<blockquote>\n<p>If the line passes through two points P1=(x1,y1) and P2=(x2,y2) then the distance of (x0,y0) from the line is:<br \/>\n  <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/09\/Solved-How-to-calculate-shortest-distance-from-path.png\"><img decoding=\"async\" src=\"http:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/09\/Solved-How-to-calculate-shortest-distance-from-path.png\" alt=\"Blockquote\"><\/a><\/p>\n<\/blockquote>\n<ol start=\"2\">\n<li>\n<p><strong>Java implimentaion<\/strong><\/p>\n<pre><code>class Point {\n  double x,y;\n\n  Point(double pX, double pY){\n    this.x= pX;\n    this.y= pY;\n  }\n\n  public double distance(Point A1, Point A2){\n    double numerator = Math.abs((A2.y - A1.y)*this.x + (A2.x - A1.x)*this.y + A2.x*A1.y - A2.y*A1.x);\n    double denominator = Math.sqrt(Math.pow(A2.y - A1.y,2) + Math.pow(A2.x - A1.x,2));\n\n    return numerator\/denominator;       \n  }\n\n}\n<\/code><\/pre>\n<\/li>\n<\/ol>\n<p>To calculate the distance between <code>Point B<\/code> and the line defined by <code>Points A1<\/code> and <code>A2<\/code>, you use the method <code>distance<\/code> like this:<\/p>\n<pre><code>public static void main (String[] args) throws java.lang.Exception\n{\n    Point A1 = new Point(0,3);\n    Point A2 = new Point(2,0);\n    Point B = new Point(0,0);\n\n    System.out.println(\n        B.distance(A1,A2)\n    );\n}\n<\/code><\/pre>\n<p>And <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/ideone.com\/ZdxLjc\">here<\/a> is the code up and running in <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/ideone.com\/ZdxLjc\">ideone<\/a>. <\/p>\n<p>But pleas go buck to the basics, chose some good and funny coding book or tut and give it a go, happy coding \ud83d\ude42 <\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\"><\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved How to calculate shortest distance from path? <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Mathematically : As explained in wikipedia the shortest distance between a line and a dot, can be calculated as follows: If the line passes through two points P1=(x1,y1) and P2=(x2,y2) then the distance of (x0,y0) from the line is: Java implimentaion class Point { double x,y; Point(double pX, double pY){ this.x= pX; this.y= pY; &#8230; <a title=\"[Solved] How to calculate shortest distance from path?\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-how-to-calculate-shortest-distance-from-path\/\" aria-label=\"More on [Solved] How to calculate shortest distance from path?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[986,323,357],"class_list":["post-10742","post","type-post","status-publish","format-standard","hentry","category-solved","tag-coordinates","tag-java","tag-math"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] How to calculate shortest distance from path? 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