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manual:Calculations [2023/02/14 21:13]
peternlewis
manual:Calculations [2023/10/02 00:38] (current)
peternlewis
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 Operators based on precedence from lowest to highest are: Operators based on precedence from lowest to highest are:
  
-| Array Separator (`,`) | Allows a text Variable, which has comma separated values, to work somewhat like an Array.\\ Assume `MyKMVariable` contains "value1,value2,value3", then `MyKMVariable[2]` returns "value2". |+| Array Separator (`,`) | Allows a text Variable, which has comma separated values, to work somewhat like an Array.\\ Assume `MyKMVariable` contains "12,34,56", then `MyKMVariable[2]` returns "34". |
 | Ternary Operator (`?`) | a=b ? 3 : 4 | | Ternary Operator (`?`) | a=b ? 3 : 4 |
 | Bitwise OR (`|`), Bitwise AND (`&`) and Bitwise XOR | bitwise operators, which also act as logical boolean operators for 0 (false) and 1 (true). | | Bitwise OR (`|`), Bitwise AND (`&`) and Bitwise XOR | bitwise operators, which also act as logical boolean operators for 0 (false) and 1 (true). |
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 | Arithmetic Addition Operators \\   • Add (`+`)\\   • Subtract (`-`) | Basic mathematical operations. | | Arithmetic Addition Operators \\   • Add (`+`)\\   • Subtract (`-`) | Basic mathematical operations. |
 | Arithmetic Multiplication Operators \\   • Multiply (`*`)\\   • Divide (`/`) | Basic mathematical operations. | | Arithmetic Multiplication Operators \\   • Multiply (`*`)\\   • Divide (`/`) | Basic mathematical operations. |
-| [Modulo](https://​en.wikipedia.org/​wiki/​Modulo_operation) (`i MOD n`) | The remainder of the division of `i` by `n`.\\ Both values (`i`, `n`) will be treated as integer.\\ `n` must not be 0.\\ the sign of the result is the same as the sign of i.  | +| [Modulo](https://​en.wikipedia.org/​wiki/​Modulo_operation) (`i MOD n`) | The remainder of the division of `i` by `n`.\\ Both values (`i`, `n`) will be treated as integer.\\ `n` must not be 0.\\ The sign of the result is the same as the sign of i.  | 
-| Integer division (`i DIV n`) | The integer quotient of the division of `i` by `n`.\\ Both values (`i`, `n`) will be treated as integer.\\ `n` must not be 0.\\ the sign of the result matches the sign of regular division. ​ |+| Integer division (`i DIV n`) | The integer quotient of the division of `i` by `n`.\\ Both values (`i`, `n`) will be treated as integer.\\ `n` must not be 0.\\ The sign of the result matches the sign of regular division. ​ |
 | Power Operator (`^`) | exponentiation. | | Power Operator (`^`) | exponentiation. |
 | Unary Prefix Operators (`√`, `-`, `( )` ) | square root, negation, sub-expressions. | | Unary Prefix Operators (`√`, `-`, `( )` ) | square root, negation, sub-expressions. |
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 | Unary Postfix Operators (`!,%,°`)) | factorial, percent, degrees. | | Unary Postfix Operators (`!,%,°`)) | factorial, percent, degrees. |
  
-Numbers are in decimal by default, but may use base 16 if they start with `$` or `0x` (eg $5A or 0x5A), or may start with a specific base followed by a `#` (eg 8#007).+Numbers are in decimal by default, but may use base 16 if they start with `$` or `0x` (eg $5A or 0x5A), or may start with a specific base followed by a `#` (eg 8#007). Numbers may include underscores,​ for example 1_000_000 or 0xABCD_EF89.
  
 [[Variables|Variables]] can be used if they contain numeric expressions,​ including an *array* of numbers separated by commas, in which case you can use an array index to select the desired number. ​ [[Variables|Variables]] can be used if they contain numeric expressions,​ including an *array* of numbers separated by commas, in which case you can use an array index to select the desired number. ​
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 In numeric calculation fields, Variable Names are used without the `%` that are used in text token fields. ​ Do not try to use tokens (like `%Variable%MyVar%`) in numeric calculation fields, just use MyVar by itself. The variable must contain a valid numeric value, or an expression that evaluates to a valid numeric value. ​ So for example, if MyVar contains a text value of `2*3`, then the calculation `4*MyVar` will return 24. In numeric calculation fields, Variable Names are used without the `%` that are used in text token fields. ​ Do not try to use tokens (like `%Variable%MyVar%`) in numeric calculation fields, just use MyVar by itself. The variable must contain a valid numeric value, or an expression that evaluates to a valid numeric value. ​ So for example, if MyVar contains a text value of `2*3`, then the calculation `4*MyVar` will return 24.
- 
-===== Screen Coordinates ===== 
- 
-Keyboard Maestro refers to screen coordinates as two or four comma separated numbers in the text of a Keyboard Maestro Variable (which is always a string). 
-  * Screen object points, like the left,top position of a window, have two values, like 12,34 
-  * Screen object rectangles, like the frame of a window, have four values 12,34,56,78 (with a fifth value for fuzz in some instances).  ​ 
-  * You can reference these values by position in the string, as it the Variable were an array: 
-  * For example:  ​ 
-if the Variable `myWindow` is "​12,​34,​56,​78"  ​ 
-then all of these forms of reference will provide a value of 34 in a Calculation field: 
-    * myWindow[2] 
-    * myWindow.y 
-    * myWindow.Top 
  
 ===== Variable Array Access ===== ===== Variable Array Access =====
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 Indices are 1-based, so MyVar[1] is the first element. ​ If the index is 0, the size of the array is returned (so MyVar[0] would be `6`).  If the index is less than zero, the array is indexed from the end (so MyVar[-5] would be `20`). Indices are 1-based, so MyVar[1] is the first element. ​ If the index is 0, the size of the array is returned (so MyVar[0] would be `6`).  If the index is less than zero, the array is indexed from the end (so MyVar[-5] would be `20`).
  
-===== Variable ​Dot Notation =====+===== Screen Coordinates and Dot Notation ===== 
 + 
 +Keyboard Maestro refers to screen coordinates as two or four comma separated numbers in the text of a Keyboard Maestro Variable (which is always a string). 
 + 
 +Screen object points, like the left,top position of a window, have two values, like 12,34. 
 + 
 +Screen object rectangles, like the frame of a window, have four values 12,34,56,78 (with a fifth value for fuzz in some instances).
  
 In a Calculation field you can reference the numbers in a Keyboard Maestro Variable (which is always a string) using dot notation: In a Calculation field you can reference the numbers in a Keyboard Maestro Variable (which is always a string) using dot notation:
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 | Variable.MidX | the horizontal middle of a rectangle | | Variable.MidX | the horizontal middle of a rectangle |
 | Variable.MidY | the vertical middle of a rectangle | | Variable.MidY | the vertical middle of a rectangle |
 +
 +For example if the Variable `myWindow` is "​12,​34,​56,​78"​ then all of these forms of reference will provide a value of 34 in a Calculation field:
 +    * myWindow[2]
 +    * myWindow.y
 +    * myWindow.Top
  
 The Variable Name and Dot reference are case insensitive. The Variable Name and Dot reference are case insensitive.
 +
 ===== Text Fields ===== ===== Text Fields =====
  
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 However in a text field, since any text is allowed, you must use percent encoded tokens to indicate where more processing is required. ​ You can include a variable in the text by using the [[token:​Variable|%Variable%]] token, or you can use a calculation by using the [[token:​Calculate|%Calculate%]] token, or any number of other [[:​Tokens|Tokens]]. However in a text field, since any text is allowed, you must use percent encoded tokens to indicate where more processing is required. ​ You can include a variable in the text by using the [[token:​Variable|%Variable%]] token, or you can use a calculation by using the [[token:​Calculate|%Calculate%]] token, or any number of other [[:​Tokens|Tokens]].
  
-    The result is %Calculate%3 * Count + 7%.+    The result is %Calculate% 3 * Count + 7 %. 
 + 
 +===== Examples of Variable Array Reference ===== 
 + 
 +=== Macro Actions ===
  
-===== Examples of Variable Data Reference =====+{{ window-frame-example-actions.png?​nolink&​584x592 | Window Frame Example Actions }}
  
-** Macro Actions**\\ +=== Example Results ===
-{{:​manual:​window-frame-example-actions-km-7.3.png?​nolink|}}+
  
-**Example Results**\\ +{{ window-frame-example-results.png?​nolink&​487x495 ​Window Frame Example Results ​}}
-{{:manual:window-frame-example-results-km-7.3.png?​nolink|}}+
  
-Some example expressions are:+===== Example Expressions =====
  
 <​code>​ <​code>​
 Amount in Dollars * 100 Amount in Dollars * 100
 MJD() > 55928 MJD() > 55928
-NOW() > TIME(2012,​3,​23,​12,​2,​1) +NOW() > TIME(2023,​3,​23,​12,​2,​1) 
-DOW(TIME(2012,4,4)) = 4+DOW(TIME(2023,4,4)) = 4
 Radius*SIN(20°),​Radius*COS(20°) Radius*SIN(20°),​Radius*COS(20°)
 Window Frame[1]+Window Frame[3]/​2,​Window Frame.MidY Window Frame[1]+Window Frame[3]/​2,​Window Frame.MidY
manual/Calculations.txt · Last modified: 2023/10/02 00:38 by peternlewis