{"id":52694,"date":"2023-10-24T15:47:16","date_gmt":"2023-10-24T13:47:16","guid":{"rendered":"https:\/\/www.myscada.org\/?post_type=docs&#038;p=52694"},"modified":"2023-10-24T15:47:16","modified_gmt":"2023-10-24T13:47:16","password":"","slug":"entering-mathematical-expressions","status":"publish","type":"docs","link":"https:\/\/amitomation.cz\/en\/documentation\/entering-mathematical-expressions\/","title":{"rendered":"Entering mathematical expressions"},"content":{"rendered":"<p class=\"manualodstavec\" style=\"text-align: justify;\"><span lang=\"EN-US\">Instead of writing the tag name, you can enter mathematical expressions. This way you can scale and offset the values read from the PLCs or create more complex data processing. These expressions can be entered either directly or through the dialog window.<\/span><\/p>\n<p class=\"manualodstavec\"><span lang=\"EN-US\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/myscada.org\/downloads\/manuals_image\/img_11.2.1.jpg\" alt=\"11.2.1\" width=\"500\" height=\"114\" \/><\/span><\/p>\n<p class=\"manualodstavec\" style=\"text-align: justify;\"><span lang=\"EN-US\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/myscada.org\/downloads\/manuals_image\/img_11.2.2.jpg\" alt=\"11.2.2\" width=\"500\" height=\"98\" \/><\/span><\/p>\n<p style=\"text-align: justify;\">In the equations you can use operators + &#8211; * \/ and common mathematical functions such as <em>sin, cos, exp, <\/em>etc<em>&#8230;<\/em>\u00a0 You can also do a binary comparison and much more. To get the complete list of options, call the <em>Tag Dialog<\/em> and click on the tab <strong>Equation<\/strong>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/myscada.org\/downloads\/manuals_image\/img_11.2.3.jpg\" alt=\"11.2.3\" width=\"700\" height=\"240\" \/><\/p>\n<h3><span style=\"color: #4baddd;\">Formatting and Limits<\/span><\/h3>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\">Tag name is entered by the <em>adr()<\/em> function<\/li>\n<li style=\"text-align: justify;\">Tag name can be also entered as an alias using the <em>alias()<\/em> function<\/li>\n<li style=\"text-align: justify;\">You can use only supported functions and operators<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The supported functions and operators are listed under the input box and are broken down into five groups: <strong>Oper, Func,<\/strong> <strong>Trig, Vers,<\/strong> and <strong>Const <\/strong>\u2013 they will be inserted into the box if selected.<\/p>\n<p style=\"text-align: justify;\">You can use multiple tags in an expression.<\/p>\n<h3><span style=\"color: #4baddd;\">Example:<\/span><\/h3>\n<ol>\n<li>We read a value from Modbus H:0<\/li>\n<li>Let\u2019s scale this value by 10 and offset it by 0.5<\/li>\n<li>Formula to enter is: <strong><em>=10*adr(H:0)+0.5<\/em><\/strong><\/li>\n<\/ol>\n<h3><span style=\"color: #4baddd;\">Supported Functions and Operators:<\/span><\/h3>\n<table class=\"MsoTable15Grid4Accent3\" style=\"border-collapse: collapse; border: none; mso-border-alt: solid #C9C9C9 .5pt; mso-border-themecolor: accent3; mso-border-themetint: 153; mso-yfti-tbllook: 1184; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt;\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr style=\"mso-yfti-irow: -1; mso-yfti-firstrow: yes; mso-yfti-lastfirstrow: yes;\">\n<td style=\"width: 120.25pt; border: solid #A5A5A5 1.0pt; mso-border-themecolor: accent3; border-right: none; mso-border-top-alt: solid #A5A5A5 .5pt; mso-border-top-themecolor: accent3; mso-border-left-alt: solid #A5A5A5 .5pt; mso-border-left-themecolor: accent3; mso-border-bottom-alt: solid #A5A5A5 .5pt; mso-border-bottom-themecolor: accent3; background: #0084C8; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><strong><span style=\"color: white; mso-themecolor: background1; mso-bidi-font-weight: bold;\">Operator<\/span><\/strong><\/p>\n<\/td>\n<td style=\"width: 140.0pt; border-top: solid #A5A5A5 1.0pt; mso-border-top-themecolor: accent3; border-left: none; border-bottom: solid #A5A5A5 1.0pt; mso-border-bottom-themecolor: accent3; border-right: none; mso-border-top-alt: solid #A5A5A5 .5pt; mso-border-bottom-alt: solid #A5A5A5 .5pt; background: #0084C8; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><span style=\"color: white; mso-themecolor: background1; mso-bidi-font-weight: bold;\"><strong>Function<\/strong><b><\/b><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border: solid #A5A5A5 1.0pt; mso-border-themecolor: accent3; border-left: none; mso-border-top-alt: solid #A5A5A5 .5pt; mso-border-top-themecolor: accent3; mso-border-bottom-alt: solid #A5A5A5 .5pt; mso-border-bottom-themecolor: accent3; mso-border-right-alt: solid #A5A5A5 .5pt; mso-border-right-themecolor: accent3; background: #0084C8; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><strong><span style=\"color: white; mso-themecolor: background1; mso-bidi-font-weight: bold;\">Description<\/span><\/strong><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 0;\">\n<td style=\"width: 452.8pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" colspan=\"3\" valign=\"top\" width=\"453\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><b><span style=\"font-size: 11.0pt; mso-bidi-font-family: \u00bf\u00cc\u2020Y\u02c7; color: #5b9bd5; mso-themecolor: accent1;\">Standard Operators<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 1;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">+<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">add<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">addition and unary positive<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 2;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&#8211; r &#8211;<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Substract<\/span><\/span><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\"> and negative<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">subtraction and negation<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 3;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">o<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Multiply<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">multiplication<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 4; height: 14.6pt;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt; height: 14.6pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt;\">r\u00f7<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; height: 14.6pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Divie<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; height: 14.6pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">division<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 5;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt;\">\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Percnt<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">modulus and percentage of a value<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 6;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">!<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Facoial<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">factoria<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 7;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">**<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Po<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">exponential<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 8;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Deg<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">converts values to radians<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 9;\">\n<td style=\"width: 452.8pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" colspan=\"3\" valign=\"top\" width=\"453\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><b><span style=\"font-size: 11.0pt; mso-bidi-font-family: \u00bf\u00cc\u2020Y\u02c7; color: #5b9bd5; mso-themecolor: accent1;\">Bitwise Operators<\/span><\/b><b style=\"mso-bidi-font-weight: normal;\"><\/b><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 10;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&amp;<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">An<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">btise<\/span><\/span><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\"> and<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 11;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">|<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Or<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">bitwise or<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 12;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">^<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Xor<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">bitwise <span class=\"SpellE\">xor<\/span><\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 13;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">~<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Not<\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">bitwise not<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 14;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&lt;&lt;\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Ishift<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">bitwise left shift<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 15;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&gt;&gt;\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">Rshift<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">bitwise right shift<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 16;\">\n<td style=\"width: 452.8pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" colspan=\"3\" valign=\"top\" width=\"453\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><b><span style=\"font-size: 11.0pt; mso-bidi-font-family: \u00bf\u00cc\u2020Y\u02c7; color: #5b9bd5; mso-themecolor: accent1;\">Comparison Operators<\/span><\/b><b style=\"mso-bidi-font-weight: normal;\"><\/b><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 17;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">=<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_eq<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">equal<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 18;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">!=<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_neq<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">not equal<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 19;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&lt;\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_It<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">less than<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 20;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&gt;\u00a0<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_gt<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">greater than<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 21;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&lt;= or \u2264<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_toe<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">greater than or equal<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 22;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&gt;= or \u2265<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_gtoe<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">greater than or equal<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 23;\">\n<td style=\"width: 452.8pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" colspan=\"3\" valign=\"top\" width=\"453\">\n<p class=\"MsoNormal\" style=\"text-align: left;\"><b><span style=\"font-size: 11.0pt; mso-bidi-font-family: \u00bf\u00cc\u2020Y\u02c7; color: #5b9bd5; mso-themecolor: accent1;\">Logical Operators<\/span><\/b><b style=\"mso-bidi-font-weight: normal;\"><\/b><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 24;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">&amp;&amp; or _<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_and<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">logical and<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 25;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 4;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">|| or _<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_or<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">logical or<\/span><\/p>\n<\/td>\n<\/tr>\n<tr style=\"mso-yfti-irow: 26; mso-yfti-lastrow: yes;\">\n<td style=\"width: 120.25pt; border: solid #C9C9C9 1.0pt; mso-border-themecolor: accent3; mso-border-themetint: 153; border-top: none; mso-border-top-alt: solid #C9C9C9 .5pt; mso-border-top-themecolor: accent3; mso-border-top-themetint: 153; mso-border-alt: solid #C9C9C9 .5pt; background: #EDEDED; mso-background-themecolor: accent3; mso-background-themetint: 51; padding: 0cm 5.4pt 0cm 5.4pt;\" valign=\"top\" width=\"120\">\n<p class=\"MsoNormal\" style=\"text-align: center; mso-yfti-cnfc: 68;\" align=\"center\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">! or \u00ac<\/span><\/p>\n<\/td>\n<td style=\"width: 140pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"140\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span class=\"SpellE\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">I_not<\/span><\/span><\/p>\n<\/td>\n<td style=\"width: 192.55pt; border-top: none; border-left: none; border-bottom: 1pt solid #c9c9c9; border-right: 1pt solid #c9c9c9; background: #ededed; padding: 0cm 5.4pt; text-align: left;\" valign=\"top\" width=\"193\">\n<p class=\"MsoNormal\" style=\"mso-yfti-cnfc: 64;\"><span style=\"font-size: 10.0pt; mso-bidi-font-weight: bold;\">logical not<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><em><strong>Degree operator \u00b0<\/strong><\/em><\/p>\n<p style=\"text-align: justify;\">The degree operator (\u00b0) is very useful when converting user input. Because all of the trigonometric functions require their parameters to be in radians, the degree operator will convert its operand into radians. Thus, 45\u00b0 is equivalent to <em>dtor(45)<\/em>.<\/p>\n<p><strong><em>Percentage sign %<\/em><\/strong><\/p>\n<p style=\"text-align: justify;\">When the percent sign is interpreted as the <em>modulo<\/em>, then:<\/p>\n<p style=\"text-align: justify;\">10 % 3 &#8230; evaluates to 1 (the remainder after 10 is divided by 3); however, if you flip the switch to make the % sign stand for percentage, then it becomes:<\/p>\n<p style=\"text-align: justify;\">250 + 10%<\/p>\n<p style=\"text-align: justify;\">By default, the percentage sign % is usually shorthand for &#8220;\/100&#8221;. In other words, 42% becomes 42\/100 or 0.42.<\/p>\n<p style=\"text-align: justify;\">However, if the % term on the right-hand side of <em>subtraction<\/em> or <em>addition<\/em> (such as in &#8220;250 + 10%&#8221;), then the percent is evaluated as a percentage of the left-hand side (i.e. &#8220;250 plus 10% of 250&#8221;).<\/p>\n<p style=\"text-align: justify;\">If you choose to interpret the percent sign as the modulo operator, you can still request a percentage by using the function name directly:<\/p>\n<p style=\"text-align: justify;\">(10 % 3) + percent (50) = 1.5<\/p>\n<p><strong><em>Factorial and Logical Not (!)<\/em><\/strong><\/p>\n<p style=\"text-align: justify;\">Differentiating between factorial (!) and logical NOT (!) is more difficult.<\/p>\n<p style=\"text-align: justify;\">Logical NOT is interpreted as factorial (!) only if:<\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\">it is the first token<\/li>\n<li style=\"text-align: justify;\">it is preceded by a binary operator<\/li>\n<li style=\"text-align: justify;\">it is preceded by a right associative unary operator<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Otherwise (!) is always treated as factorial and the negating token \u00ac as logical NOT.<\/p>\n<h3><\/h3>\n<h3><span style=\"color: #4baddd;\">Supported Functions<\/span><\/h3>\n<h4>Functions using more than one parameter:<\/h4>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>sum()<\/strong><\/span> &#8211; returns a sum of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>count()<\/strong><\/span> &#8211; returns the number of passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>min()<\/strong><\/span> &#8211; returns the minimum of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>max()<\/strong><\/span> &#8211; returns the maximum of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>median()<\/strong><\/span> &#8211; returns the median of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>stddev<\/strong><strong>()<\/strong><\/span> &#8211; returns the standard deviation of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>average()<\/strong><\/span> &#8211; returns the average of the passed parameters<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>random()<\/strong><\/span> &#8211; returns a random integer. Can take 0, 1, or 2 parameters. The first parameter (if given) is the lower bound of the random integer. The second parameter (if given) is the upper bound of the random integer.<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>nthroot<\/strong><strong>()<\/strong><\/span> &#8211; returns the n<sup>th<\/sup> root of a number; for example, <em>nthroot<\/em><em>(27,3)<\/em> returns the cube root of 27, or 3.<\/li>\n<\/ul>\n<h4>Functions using one parameter:<\/h4>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>sqrt()<\/strong><\/span> &#8211; returns the square root of the passed parameter<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>log()<\/strong><\/span> &#8211; returns the base 10 log of the passed parameter<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>ln()<\/strong><\/span> &#8211; returns the base e log of the passed parameter<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>log2()<\/strong><\/span> &#8211; returns the base 2 log of the passed parameter<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>exp<\/strong><strong>()<\/strong><\/span> &#8211; returns e raised to the power of the passed parameter<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>ceil()<\/strong><\/span> &#8211; returns the passed parameter rounded up<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>floor()<\/strong><\/span> &#8211; returns the passed parameter rounded down<\/li>\n<\/ul>\n<h4>Trigonometric functions:<\/h4>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>sin(), cos(), tan()<\/strong><\/span><\/li>\n<li style=\"text-align: justify;\">inverses (<span style=\"color: #0084c8;\"><strong>asin, acos, atan<\/strong><\/span>)<\/li>\n<li style=\"text-align: justify;\">reciprocals (<span style=\"color: #0084c8;\"><strong>csc, sec, cotan<\/strong><\/span>)<\/li>\n<li style=\"text-align: justify;\">reciprocals of the inverses (<span style=\"color: #0084c8;\"><strong>acsc, asec, acotan<\/strong><\/span>)<\/li>\n<li style=\"text-align: justify;\">hyperbolic variations (<span style=\"color: #0084c8;\"><strong>sinh, cosh, tanh, asinh, acosh, atanh, csch, sech, cotanh, acsch, asech, acotanh<\/strong><\/span>)<\/li>\n<li style=\"text-align: justify;\">versine functions (<span style=\"color: #0084c8;\"><strong>versin, vercosin, coversin, covercosin, haversin, havercosin, hacoversin, hacovercosin, exsec, excsc, crd<\/strong><\/span>)<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>dtor()<\/strong><\/span> &#8211; converts the passed parameter from degrees to radians<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>rtod<\/strong><strong>()<\/strong><\/span> &#8211; converts the passed parameter from radians to degrees<\/li>\n<\/ul>\n<h4>Functions using no parameters (&#8220;constant functions&#8221;):<\/h4>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>phi()<\/strong><\/span> &#8211; returns the value of \u03d5 (the Golden Ratio), also recognized as <em>\u03d5<\/em><em>()<\/em><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>pi()<\/strong><\/span> &#8211; returns the value of \u03c0. Also recognized as <em>\u03c0()<\/em><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>pi_2()<\/strong><\/span> &#8211; returns the value of \u03c0\/2<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>pi_4()<\/strong><\/span> &#8211; returns the value of \u03c0\/4<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>tau()<\/strong><\/span> &#8211; returns the value of \u03c4. Also recognized as <em>\u03c4<\/em><em>()<\/em><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>sqrt2()<\/strong><\/span> &#8211; returns the value of the square root of 2<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>e()<\/strong><\/span> &#8211; returns the value of e<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>log2e()<\/strong><\/span> &#8211; returns the value of the log base 2 of e<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>log10e()<\/strong><\/span> &#8211; returns the value of the log base 10 of e<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>ln2()<\/strong><\/span> &#8211; returns the value of the log base e of 2<\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>ln10()<\/strong><\/span> &#8211; returns the value of the log base e of 10<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The parentheses are used for grouping sub-expressions and setting the order of execution, and they can be nested to any depth. All computation is carried out with a double precision floating point. In the case of error, the editor shows a warning, and the error expressions will not be evaluated.<\/p>\n<p style=\"text-align: justify;\">You can always check the validity of the entered expression Clicking on the <strong>Test <\/strong>button.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/myscada.org\/downloads\/manuals_image\/img_11.2.4.jpg\" alt=\"11.2.4\" width=\"600\" height=\"240\" \/><\/p>\n<p style=\"text-align: justify;\">Click on <strong>OK<\/strong> after completion to see the expression in the <strong>Tag(Address)<\/strong> field.<\/p>\n<h4>Examples of valid expressions:<\/h4>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>adr(N100:0)*adr(F30:10)<\/strong><\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>sin(adr(N100:0))+cos(adr(F30:10))<\/strong><\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #0084c8;\"><strong>median(adr(N100:0),adr(F30:10),adr(N20:5),adr(F10:10)) <\/strong><\/span><\/li>\n<\/ul>\n<ul class=\"bullet_plus imglist\">\n<li style=\"text-align: justify;\"><span style=\"color: #999999;\"><em>Note: <\/em>Multiple arguments should be separated with commas<em> 2&gt;=1. Logical operations always return binary result (0 or 1).<\/em><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Instead of writing the tag name, you can enter mathematical expressions. This way you can scale and offset the values read from the PLCs or create more complex data processing. These expressions can be entered either directly or through the dialog window. In the equations you can use operators + &#8211; * \/ and common<a class=\"moretag excerpt orangelink\" href=\"https:\/\/amitomation.cz\/en\/documentation\/entering-mathematical-expressions\/\">[&#8230;]<\/a><\/p>\n","protected":false},"author":2555,"featured_media":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"doc_category":[325],"doc_tag":[],"class_list":["post-52694","docs","type-docs","status-publish","hentry","doc_category-mydesigner-v8"],"year_month":"2026-04","word_count":1004,"total_views":0,"reactions":{"happy":0,"normal":0,"sad":0},"author_info":{"name":"Musilda","author_nicename":"musilda","author_url":"https:\/\/amitomation.cz\/en\/author\/musilda\/"},"doc_category_info":[{"term_name":"AMiTDesigner","term_url":"https:\/\/amitomation.cz\/en\/docs-category\/mydesigner-v8\/"}],"doc_tag_info":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Entering mathematical expressions - AMiT Automation<\/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:\/\/amitomation.cz\/en\/documentation\/entering-mathematical-expressions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Entering mathematical expressions - AMiT Automation\" \/>\n<meta property=\"og:description\" content=\"Instead of writing the tag name, you can enter mathematical expressions. 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This way you can scale and offset the values read from the PLCs or create more complex data processing. These expressions can be entered either directly or through the dialog window. 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