Analytics system uses expressions everywhere — in intervals selectors, in interval counters, and even in message and interval validators. Expression operates with a message and the result of an expression is a typed number, string, boolean or null value. All numbers are operated as floating point with double precision thus limiting integers to 53 bits in size.
An expression consists of numbers, operators, parameters references, and functions. If an expression contains a reference to a parameter that is not present in the message or division by zero, its result is undefined or OFF in most boolean expressions. In the case of booleantype expressions (e.g. validation or interval test expressions), nonzero resulting value means the expression is valid and zero, false or null will deny validation of message or interval.
For example, we sequentially analyze the following messages from devices:
{
"device.name": "123456789012345",
"timestamp": 1490347944.893743,
"din": 9,
"channel_id": 123,
"altitude": 568.49,
"direction": 297,
"hdop": 0.9,
"speed": 10,
"lat": 21.328481,
"lng": 47.562136,
"accelerations": [1, 2, 3.3, 0],
...
}
In an expression, all references to message parameters that contain a number, boolean, textual or null value will equal to this value. All references to other types of parameters (e.g. array, nested object or binary) will make expression evaluation impossible.
It is possible to use true, false and null values in expression. Type of value can be tested with functions: isnull, isnumber, isstring, isboolean and safely converted to another type with functions tonumber, toboolean, tostring.
In mathematical comparison operators maximum level of automatic type casting is used. null and false are casted to zero, true or any valid string  to one.
For textual parameters you can use comparison operators like '==' or '!=', for example: "device.name == '123456789012345'" to check actual value. When comparing two strings you may use wildcards, for example: "device.name == 'Telto*'". To match case insensitive use special operator ~: "device.name ~ 'TeLTo??kA'".
If you need to access nested (JSON) objects or arrays, it is possible to use functions json('objectkey', 'subkeyname') or json('arraykey', 0). See examples and explanations in the table below.
To reference the value of the same parameter in the previous message, you need to prepend hash (#) to the parameter name. For example, you can use "speed  #speed" to calculate the speed change from message to message.
Important note on using references to previous message parameters: as the system does not know the value of the previous parameter for the very first message, it means that the very first message in such reference will always return unknown or OFF value. In order to correctly and consistently calculate intervals we recommend to use merge_message_before=true in selector configuration which expression using reference to previous message parameters.
Another form of parameters specification is by preceding them with a dollar sign ($). In that case, if the parameter is not present in the message, null value will be put instead and expression can be evaluated further. For example "abs($speed)>=0" will be always valid and return boolean true.
You can use mathematical operators in expression and add brackets to control the order of operations. The priority of operations is the same as in the C programming language and, moreover, all operation notation is also very similar to what C language defines. You can use the following operators:
operator  explanation 
+  sum 
  diff 
/  divide 
*  multiply 
  binary OR 
&  binary AND 
&&  logical AND 
  logical OR 
^  binary XOR 
==  equal, for strings will match with wildcards 
!=  inverted value of equal operator 
~  case insensitive match of string with wildcards 
<  less 
<=  less or equal 
>  greater 
>=  greater or equal 
>>  right shift by specified amount of bits (in range from 0 to 64) 
<<  left shift by specified amount of bits (in range from 0 to 64) 
If you need more operators, please contact us.
Here are some sample expressions and their resulting values:
expression  evaluation 
1 + 2 * 4 / 2  5 
(1 + 2) * 4 / 2  6 
(4 & 1) > 0  false, cause 4 AND(binary) 1 is 0 
(4 && 1) > 0  true, cause 4 AND(logical) 1 is 1 
It is also possible to use some functions inside expressions, for example, "abs(speed#speed)>10" will always be true if the instant speed value change between two sequential messages is different by more than 10 km/h in any direction. Here is the full list of functions:
function  explanation 
abs(X)  an absolute value of X 
round(X)  round X to the closest integer 
ceil(X)  round X up to the largest integer 
floor(X)  round X down to the smallest integer 
sqrt(X)  square root from X 
min(X, Y)  return a minimum value between X and Y 
max(X, Y)  return a maximum value between X and Y 
if(X, Y, Z)  if X is nonzero, evaluate to Y otherwise evaluate to Z 
mileage()  mileage in kilometers from the previous message, calculated using position.latitude, position.longitude and position.altitude parameters 
month(X)  month value for X with ranges 112, where X is UNIX timestamp, e.g. month(timestamp) will return month number for the current message 
day(X)  day of month value for X with ranges 131, where X is UNIX timestamp 
hour(X)  hour for X with ranges 023, where X is UNIX timestamp 
minute(X)  minute value for X with ranges 059, where X is UNIX timestamp 
strftime(X, Y)  format date into text, where X is UNIX timestamp and Y is a format string similar to strftime. 
json('X', Y)  fetch the value from subelement inside a JSON object or array. Sample JSON: {"x":{"y":1, "z":2}, "a":[3, 5, {"keyA":"valueA"}]} To fetch value under key "y" inside object under key "x" use json('x', 'y') which will return 1. To access arrays use json('a', 0) or json('a', '/0') which both will return 3. JSON path can be used for as well for fetching values from complex objects/arrays: json('a', '/2/keyA') will return "valueA". 
hex(X[, Y, Z])  Convert string value X from hexadecimal format into 64bit unsigned integer and take Z bits starting from Y. If Z is not defined all bits will be taken, if Y is not defined zero is assumed (first bit). Samples:

exists('X')  return 1 if specified parameter with name 'X' exists in the message and zero otherwise 
not(X)  invert argument value  if it is zero/false, return nonzero/true and otherwise 
tonumber(X), tostring(X), toboolean(X)  convert value to another type, dummy functions at the moment 
isnumber(X), isstring(X), isboolean(X), isnull(X)  test if value is of specified type and return true in that case, dummy functions at the moment 
If you need more functions, please contact us.