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visual3d:documentation:pipeline:expressions:expressions_overview

Expressions Overview

Many (but not all) edit boxes and pipeline command parameters allow the use of expressions instead of numerical values. Visual3D uses a common expression parser, so the following syntax is common across all command parameters that allow expressions.

Evaluate_Expression Command

The Evaluate_Expression command allows the users to include expressions for defining the processing of the signals.

Evaluate_Expression
/Expression=
!/Signal_Type=
!/Signal_Folder=
!/Signal_Name=
/Result_Type=
/Result_Folder=
/Result_Name=
!/Apply_as_suffix_to_signal_name=FALSE
;

Expression Items

Expressions are incredibly flexible and capable of ingesting most data types in Visual3D including:

Visual3D Reserved Characters

There are five characters that cause the expression parser considerable trouble. We have introduced reserved pipeline commands that can be used in the place of these characters.

Reserved Characters Character Names
& Ampersand
: Colon
;Semicolon
+ Plus
/ Forward Slash

Visual3D Reserved Names

We have introduced reserved names for a few common ideas that are useful to reference in constructing expressions.

Reserved Names Usage
CURRENT_SIGNALshort hand for signal names
NAN Not a Number
isNAN Is Not a Number?

Numbers

We have introduced three number-related functions to aid in the construction of expressions.

Numerical Functions Result
pi() 3.14159265358979323846
gravity_vector() gravity vector in the laboratory coordinate system. For a z-up coordinate system returns (0,0,-9.81)
rand()Generate a random number

Mathematical Operators

In its simplest use, the Evaluate_Expression command can be used to evaluate arbitrary mathematical expressions. Use the following characters for your mathematical operators.

Mathematical Operators Use
+ Plus or Add
- Minus or Subtract
* Multiply
/ Divide
^ Power or Exponent
| logical OR → the operator NOT is allowed
& logical AND → the operator NOT is allowed
== OR = Equals
<> OR >< Not Equals
< Less Than
<= OR =< Less Than or Equals To
> Greater Than
>= OR =>Greater Than or Equals To
NOT() NOT()

Note: Visual3D parses the mathematical operators before it parses the signal names. If you have a signal name that contains a mathematical operator (e.g. R-Foot1), Visual3D will probably not be able to parse the equation expression properly.

Also Note the potential conflict between some of the operators and the reserved characters. If the string is obviously an expression, there is no conflict.

The ugly truth of the logical AND

The & character is used by Visual3D for concatenating strings. This works quite well, but there is one circumstance where this choice of delimiter is a nuisance. That is when you want & to actually be a logical AND and the parser throws it away.

As of v2024.04.1 you can use the reserved string AMP for these cases.

Example given a file that has TAGS labelled TEST1 and TEST2.

! To select files containing the tags TEST1 and TEST2

Select_Active_File
/FILE_NAME=ALL_FILES
/QUERY=TEST1 & TEST2
! /SUBJECT_TAGS=NO_SUBJECT
;

! But what if you want to generalize and use another pipeline parameter for TEST2
Set_Pipeline_Parameter
/PARAMETER_NAME=SCOTT2
/PARAMETER_VALUE=TEST1 &::AMP &::SCOTT
;
Select_Active_File
/FILE_NAME=ALL_FILES
/QUERY=TEST1 &::AMP &::SCOTT
! /SUBJECT_TAGS=NO_SUBJECT
;

Brackets

Brackets Usage
( ) contain the parameters in a function
[ ]specify frame numbers and components

Functions

Visual3D has pre-defined functions embedded in the pipeline to help you construct your expressions. These functions are commonly used or have been added based on customer use.

Metric Functions

Signal Functions

String Data

Least Squares Fitting of Data

Intersection Functions

Assigned Force Functions

Trigonometric Functions

Array and Matrix Functions

Common Math Expressions

  • int(a) - truncate each component to the nearest integer
  • round(a) - round each component to the nearest integer
  • fmod(y,x) - Returns the floating-point remainder of y/x (Note: y and x must be one dimensional signals; returns a one dimensional signal)
  • abs(a) - absolute value
  • sign(a)= sign of the signal ((a<0)=-1, (a>0)=1, (a==0) = 0
  • sqrt(a) - square root
  • exp(a) - exponent
  • log(a) - natural log
  • log10(a) - log base 10
  • length(x) – creates the length (magnitude) of a vector
  • distance(a,b) – distance between two signals.
  • dot (a, b) – creates the dot product of a and b
  • cross (a, b) – creates the cross product of a and b

Expression Examples

Examples of using Evaluate_Expressions can be found here: Expressions Examples

visual3d/documentation/pipeline/expressions/expressions_overview.txt · Last modified: 2024/09/10 14:51 by wikisysop