### TimeSync synchronization example

Source: https://stefanbesler.github.io/struckig/userguide/synchronized_trajectory.html

Configures a Struckig.Otg with TimeSync synchronization so all axes start and finish together. Uses 3 DoFs with a cycle time of 0.001 seconds and sets current and target positions along with velocity, acceleration, and jerk limits.

```st
otgTimeSync : Struckig.Otg(cycletime := 0.001, dofs := 3) := (
  EnableAutoPropagate := TRUE,
  Synchronization := Struckig.SynchronizationType.TimeSync,
  CurrentPosition := [0.0, 0.0, 0.0],
  TargetPosition :=  [1.0, -1.0, 2.0],
  MaxVelocity :=     [1.0, 1.0, 1.0],
  MaxAcceleration := [1.0, 1.0, 1.0],
  MaxJerk :=         [1.0, 1.0, 1.0]
);
```

--------------------------------

### Otg1 Usage Example

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg1.html

A basic implementation example showing how to initialize the Otg1 block and assign the calculated setpoint to an axis.

```Structured Text
otg1(
  CycleTime := 0.001,
  ControlInterface := ControlInterfaceType.Position,
  Synchronization := SynchronizationType.TimeSync
);
Axis.Setpoint := otg1.NewPosition;
```

--------------------------------

### Stop Trajectory Example

Source: https://stefanbesler.github.io/struckig/userguide/example_stop_trajectory.html

An example that initializes an OTG object with position trajectory parameters, then after an elapsed time switches the controller to velocity interface, sets target velocity and acceleration to zero, and increases MaxJerk to stop the motion.

```unknown
PROGRAM Example03_StopTrajectory
VAR
  otg : Struckig.Otg(cycletime := 0.01, dofs := 3) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0,  0.0,  0.5],
    CurrentVelocity :=     [0.0, -2.2, -0.5],
    CurrentAcceleration := [0.0,  2.5, -0.5],
    TargetPosition :=      [5.0, -2.0, -3.5],
    TargetVelocity :=      [0.0, -0.5, -2.0],
    TargetAcceleration :=  [0.0,  0.0,  0.5],
    MaxVelocity :=         [3.0,  1.0,  3.0],
    MaxAcceleration :=     [3.0,  2.0,  1.0],
    MaxJerk :=             [4.0,  3.0,  2.0]
  );
  elapsed : LREAL;
  onStopTrajectory : BOOL;
END_VAR

elapsed := elapsed + 0.01;

IF elapsed >= 1.0 AND_THEN NOT onStopTrajectory THEN
  onStopTrajectory := TRUE;
  otg.ControlInterface := Struckig.ControlInterfaceType.Velocity;
  otg.Synchronization := Struckig.SynchronizationType.None;
  otg.TargetVelocity := [0.0, 0.0, 0.0];
  otg.TargetAcceleration := [0.0, 0.0, 0.0];
  otg.MaxJerk := [12.0, 10.0, 8.0];
END_IF

otg();

```

--------------------------------

### Otg Cyclic Usage Example

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Example of calling the Otg function block cyclically and applying the resulting setpoints to axes.

```Structured Text
otg(
  CycleTime := 0.001,
  Dofs := 2,
  ControlInterface := ControlInterfaceType.Position,
  Synchronization := SynchronizationType.TimeSync
);

IF otg.State = TrajectoryState.Busy THEN
  Axis1.Setpoint := otg.NewPosition[0];
  Axis2.Setpoint := otg.NewPosition[1];
END_IF
```

--------------------------------

### Phase synchronization example

Source: https://stefanbesler.github.io/struckig/userguide/synchronized_trajectory.html

Configures a Struckig.Otg with Phase synchronization so axes maintain a shared phase relation, useful for coordinated Cartesian motion. Uses 3 DoFs with a cycle time of 0.001 seconds and sets current and target positions along with velocity, acceleration, and jerk limits.

```st
otgPhaseSync : Struckig.Otg(cycletime := 0.001, dofs := 3) := (
  EnableAutoPropagate := TRUE,
  Synchronization := Struckig.SynchronizationType.Phase,
  CurrentPosition := [0.0, 0.0, 0.0],
  TargetPosition :=  [1.0, -1.0, 2.0],
  MaxVelocity :=     [1.0, 1.0, 1.0],
  MaxAcceleration := [1.0, 1.0, 1.0],
  MaxJerk :=         [1.0, 1.0, 1.0]
);
```

--------------------------------

### Run minimal 1-axis Struckig trajectory in MAIN

Source: https://stefanbesler.github.io/struckig/userguide/installation.html

Minimal 1-axis example for the MAIN program. Initializes Struckig.Otg with a 1 ms cycle time and one degree of freedom, sets limits and target values, then calls otg() and reads the new position. EnableAutoPropagate := TRUE is the standard online mode; Struckig automatically copies New* values back into Current* after each cycle.

```structured text
PROGRAM MAIN
VAR
  otg : Struckig.Otg(cycletime := 0.001, dofs := 1) := (
    EnableAutoPropagate := TRUE,
    MaxVelocity :=         [2000.0],
    MaxAcceleration :=     [20000.0],
    MaxJerk :=             [800000.0],
    CurrentPosition :=     [0.0],
    CurrentVelocity :=     [0.0],
    CurrentAcceleration := [0.0],
    TargetPosition :=      [100.0],
    TargetVelocity :=      [0.0],
    TargetAcceleration :=  [0.0]
  );
  axisTargetPosition : LREAL;
END_VAR

otg();
axisTargetPosition := otg.NewPosition[0];
```

--------------------------------

### Configure Struckig Otg with MinDuration

Source: https://stefanbesler.github.io/struckig/userguide/example_minimum_duration.html

Use this example when process timing requires a slower trajectory than the kinematic limits would naturally produce. The Otg function block is configured with a cycletime of 0.01 seconds, 3 degrees of freedom, and a MinDuration of 5.0 seconds. The example sets current and target states, as well as velocity, acceleration, and jerk limits.

```iecst
PROGRAM Example04_MinimumDuration
VAR
  otg : Struckig.Otg(cycletime := 0.01, dofs := 3) := (
    EnableAutoPropagate := TRUE,
    Synchronization := Struckig.SynchronizationType.TimeSync,
    MinDuration := 5.0,
    CurrentPosition :=     [0.0,  0.0,  0.5],
    CurrentVelocity :=     [0.0, -2.2, -0.5],
    CurrentAcceleration := [0.0,  2.5, -0.5],
    TargetPosition :=      [-5.0, -2.0, -3.5],
    TargetVelocity :=      [ 0.0, -0.5, -2.0],
    TargetAcceleration :=  [ 0.0,  0.0,  0.5],
    MaxVelocity :=         [3.0,  1.0,  3.0],
    MaxAcceleration :=     [3.0,  2.0,  1.0],
    MaxJerk :=             [4.0,  3.0,  2.0]
  );
END_VAR

otg();
```

--------------------------------

### Validate input before applying new targets

Source: https://stefanbesler.github.io/struckig/userguide/cycle_integration.html

Call ValidateInput before applying new targets from external logic to catch invalid values earlier and get better diagnostics. The example checks only the target state within limits, not the current state, and aborts with the error message if validation fails.

```ST
IF NOT otg.ValidateInput(
  checkCurrentStateWithinLimits := FALSE,
  checkTargetStateWithinLimits := TRUE
) THEN
  Abort(otg.ErrorMessage());
END_IF
```

--------------------------------

### Struckig Position Interface Configuration

Source: https://stefanbesler.github.io/struckig/userguide/example_position_interface.html

A standard setup for point-to-point motion defining the cycle time, degrees of freedom, and kinematic constraints for position, velocity, and acceleration.

```Structured Text
PROGRAM Example01_Position
VAR
  otg : Struckig.Otg(cycletime := 0.01, dofs := 3) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0,  0.0,  0.5],
    CurrentVelocity :=     [0.0, -2.2, -0.5],
    CurrentAcceleration := [0.0,  2.5, -0.5],
    TargetPosition :=      [5.0, -2.0, -3.5],
    TargetVelocity :=      [0.0, -0.5, -2.0],
    TargetAcceleration :=  [0.0,  0.0,  0.5],
    MaxVelocity :=         [3.0,  1.0,  3.0],
    MaxAcceleration :=     [3.0,  2.0,  1.0],
    MaxJerk :=             [4.0,  3.0,  2.0]
  );
END_VAR

otg();
```

--------------------------------

### Configure and call Struckig OTG with velocity interface

Source: https://stefanbesler.github.io/struckig/userguide/example_velocity_interface.html

Use this when the application is primarily velocity driven, such as controlled deceleration. The example sets up a 3-DOF OTG with a cycle time of 0.01 seconds, enables auto propagation, selects the velocity control interface, and defines current and target states along with maximum acceleration and jerk. The otg() call executes the trajectory generation.

```ST
PROGRAM Example02_Velocity
VAR
  otg : Struckig.Otg(cycletime := 0.01, dofs := 3) := (
    EnableAutoPropagate := TRUE,
    ControlInterface := Struckig.ControlInterfaceType.Velocity,
    CurrentPosition :=     [0.0,  0.0,  0.5],
    CurrentVelocity :=     [3.0, -2.2, -0.5],
    CurrentAcceleration := [0.0,  2.5, -0.5],
    TargetVelocity :=      [0.0, -0.5, -1.5],
    TargetAcceleration :=  [0.0,  0.0,  0.5],
    MaxAcceleration :=     [3.0,  2.0,  1.0],
    MaxJerk :=             [6.0,  6.0,  4.0]
  );
END_VAR

otg();
```

--------------------------------

### ValidateInput usage example

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Example call to ValidateInput with currentState: FALSE and targetState: TRUE, returning a boolean. The comment indicates the return value.

```iecst
ruckig.ValidateInput(input, currentState: FALSE, targetState: TRUE);
// returns boolean
__
```

--------------------------------

### Method AtTime1

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Gets the kinematic state at a given time for a single DoF (only for DoF = 1).

```APIDOC
## AtTime1

### Description
Get the kinematic state and current section at a given time without vectors for a single DoF. Using this method is only allowed for DoF = 1, for higher degrees of freedom use AtTime. Using this method for DoF > 0 will not yield any result.

### Method
AtTime1

### Signature
```
METHOD AtTime1 (
 [input] t : LREAL,
 [input] new_position : REFERENCE TO LREAL,
 [input] new_velocity : REFERENCE TO LREAL,
 [input] new_acceleration : REFERENCE TO LREAL,
 [input] new_jerk : REFERENCE TO LREAL)
```

### Parameters
#### Inputs
- **t** (LREAL) - Required - Time in seconds.
- **new_position** (REFERENCE TO LREAL) - Required - Reference for position output.
- **new_velocity** (REFERENCE TO LREAL) - Required - Reference for velocity output.
- **new_acceleration** (REFERENCE TO LREAL) - Required - Reference for acceleration output.
- **new_jerk** (REFERENCE TO LREAL) - Required - Reference for jerk output.
```

--------------------------------

### Velocity preset for single-axis trajectory

Source: https://stefanbesler.github.io/struckig/userguide/single_axis_trajectory.html

A preset configuration for a move starting with initial velocity.

```ST
PROGRAM ExampleSingleAxisVelocityPreset
VAR
  otg : Struckig.Otg(cycletime := 0.001, dofs := 1) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0],
    CurrentVelocity :=     [2.0],
    CurrentAcceleration := [0.0],
    TargetPosition :=      [8.0],
    TargetVelocity :=      [1.5],
    TargetAcceleration :=  [0.0],
    MaxVelocity :=         [3.0],
    MaxAcceleration :=     [2.0],
    MaxJerk :=             [5.0]
  );
END_VAR

otg();
```

--------------------------------

### Method AtTime

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Gets the kinematic state at absolute trajectory time t for all DoFs.

```APIDOC
## AtTime

### Description
Gets the kinematic state at absolute trajectory time `t`. This method evaluates the active profile sections and returns position, velocity, acceleration, and jerk for each configured DoF. For `t >= Duration`, the final state is extended with constant acceleration behavior. For single-axis access without vector pointers, see AtTime1.

### Method
AtTime

### Signature
```
METHOD AtTime (
 [input] t : LREAL,
 [input] new_position : POINTER TO LREAL,
 [input] new_velocity : POINTER TO LREAL,
 [input] new_acceleration : POINTER TO LREAL,
 [input] new_jerk : POINTER TO LREAL,
 [input] new_section : POINTER TO INT)
```

### Parameters
#### Inputs
- **t** (LREAL) - Required - Absolute trajectory time in seconds.
- **new_position** (POINTER TO LREAL) - Required - Pointer to array for position outputs.
- **new_velocity** (POINTER TO LREAL) - Required - Pointer to array for velocity outputs.
- **new_acceleration** (POINTER TO LREAL) - Required - Pointer to array for acceleration outputs.
- **new_jerk** (POINTER TO LREAL) - Required - Pointer to array for jerk outputs.
- **new_section** (POINTER TO INT) - Required - Pointer to integer for current section index.
```

--------------------------------

### Recommended PLC cycle loop with otg() and output mapping

Source: https://stefanbesler.github.io/struckig/userguide/cycle_integration.html

Use this three-part structure in each PLC cycle: update targets at step boundaries, call otg() exactly once, then map outputs to axis setpoints and handle errors. The example shows error handling via otg.ErrorMessage() and setting interpolated positions and velocities for two axes.

```ST
// 1) Update targets on sequence events (not shown here)

// 2) Cyclic update
otg();

// 3) Output mapping and safety checks
IF otg.State = Struckig.TrajectoryState.Error THEN
  Abort(otg.ErrorMessage());
ELSE
  axisX.SetInterpolatedPosition(THIS^, otg.CurrentPosition[0]);
  axisY.SetInterpolatedPosition(THIS^, otg.CurrentPosition[1]);
  axisX.SetInterpolatedVelocity(THIS^, otg.CurrentVelocity[0]);
  axisY.SetInterpolatedVelocity(THIS^, otg.CurrentVelocity[1]);
END_IF
```

--------------------------------

### AtTime

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Gets the kinematic state at absolute trajectory time t. Evaluates active profile sections and returns position, velocity, acceleration, and jerk for each configured DoF.

```APIDOC
## AtTime

### Description
Gets the kinematic state at absolute trajectory time `t`. This method evaluates the active profile sections and returns position, velocity, acceleration, and jerk for each configured DoF. For `t >= Duration`, the final state is extended with constant acceleration behavior. For single-axis access without vector pointers, see AtTime1.

### Method
AtTime

### Parameters
#### Inputs
- **t** (LREAL) - Required - Absolute trajectory time.
- **new_position** (POINTER TO LREAL) - Required - Output pointer for position.
- **new_velocity** (POINTER TO LREAL) - Required - Output pointer for velocity.
- **new_acceleration** (POINTER TO LREAL) - Required - Output pointer for acceleration.
- **new_jerk** (POINTER TO LREAL) - Required - Output pointer for jerk.
- **new_section** (POINTER TO INT) - Required - Output pointer for the current section index.

### Returns
None
```

--------------------------------

### AtTime1

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Get the kinematic state and current section at a given time without vectors for a single DoF. Only allowed for DoF = 1.

```APIDOC
## AtTime1

### Description
Get the kinematic state and current section at a given time without vectors for a single DoF. Using this method is only allowed for DoF = 1, for higher degrees of freedom use AtTime. Using this method for DoF > 0 will not yield any result.

### Method
AtTime1

### Parameters
#### Inputs
- **t** (LREAL) - Required - Absolute trajectory time.
- **new_position** (REFERENCE TO LREAL) - Required - Output reference for position.
- **new_velocity** (REFERENCE TO LREAL) - Required - Output reference for velocity.
- **new_acceleration** (REFERENCE TO LREAL) - Required - Output reference for acceleration.
- **new_jerk** (REFERENCE TO LREAL) - Required - Output reference for jerk.

### Returns
None
```

--------------------------------

### Property Duration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Gets the total planned trajectory duration in seconds.

```APIDOC
## PROPERTY Duration

### Description
Total planned trajectory duration in seconds. The value is set after successful calculation and remains valid until inputs change or Reset is called. In synchronized operation this is the common duration for all participating DoFs.

### Property Value
- **LREAL** - Duration in seconds.
```

--------------------------------

### FB_init Constructor

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg1.html

Initializes the Otg1 trajectory generator with cycle time parameters.

```Structured Text
METHOD FB_init (
 [input] bInitRetains : BOOL,
 [input] bInCopyCode : BOOL,
 [input] cycletime : LREAL) : BOOL
__
```

--------------------------------

### Constructor FB_init

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Initializes the trajectory generator with cycle time and number of degrees of freedom.

```APIDOC
## FB_init

### Description
Initializes the trajectory generator with the given cycle time and number of degrees of freedom.

### Method
FB_init

### Signature
```
METHOD FB_init (
 [input] bInitRetains : BOOL,
 [input] bInCopyCode : BOOL,
 [input] cycletime : LREAL,
 [input] dofs : SINT) : BOOL
```

### Parameters
#### Inputs
- **bInitRetains** (BOOL) - Required - Initialization flag for retain variables.
- **bInCopyCode** (BOOL) - Required - Copy code flag.
- **cycletime** (LREAL) - Required - Cycle time in seconds.
- **dofs** (SINT) - Required - Number of degrees of freedom.

### Returns
- **BOOL** - Initialization success flag.
```

--------------------------------

### FB_init

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg1.html

Constructor for the Otg1 trajectory generator. Initializes the instance with the given cycle time and returns a boolean indicating success.

```APIDOC
## FB_init

### Description
Constructor for the Otg1 trajectory generator. Initializes the instance with the given cycle time and returns a boolean indicating success.

### Method
FB_init

### Parameters
#### Inputs
- **bInitRetains** (BOOL) - Required - Description not provided.
- **bInCopyCode** (BOOL) - Required - Description not provided.
- **cycletime** (LREAL) - Required - Description not provided.

### Returns
BOOL

```

--------------------------------

### Initialize Struckig with Runtime-Selected DoFs

Source: https://stefanbesler.github.io/struckig/userguide/example_runtime_dofs.html

Defines the ActiveDofs constant and initializes the Struckig.Otg function block with specific motion parameters for a 6-DoF system.

```Structured Text
PROGRAM Example05_RuntimeDofs
VAR CONSTANT
  ActiveDofs : UINT := 6; // runtime-selected size in this project variant
END_VAR
VAR
  otg : Struckig.Otg(cycletime := 0.01, dofs := ActiveDofs) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0,  -0.1, 0.12, 0.0,  0.3, 0.05],
    CurrentVelocity :=     [0.0,   0.0, 0.2,  0.0,  0.0, 0.0],
    CurrentAcceleration := [0.0,   0.0, 0.0,  0.0,  0.0, 0.0],
    TargetPosition :=      [1.0,   0.5, 0.5,  0.0, -0.1, 0.2],
    TargetVelocity :=      [0.0,   0.0, 0.0,  0.0,  0.0, 0.0],
    TargetAcceleration :=  [0.0,   0.0, 0.0,  0.0,  0.0, 0.0],
    MaxVelocity :=         [1.2,   1.2, 1.2,  0.6,  0.6, 0.6],
    MaxAcceleration :=     [4.0,   4.0, 4.0,  1.5,  1.5, 1.5],
    MaxJerk :=             [10.0, 10.0, 10.0, 4.0,  4.0, 4.0]
  );
END_VAR

otg();
```

--------------------------------

### FB_init Constructor

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Initializes the function block with cycle time and degrees of freedom.

```Structured Text
METHOD FB_init (
 [input] bInitRetains : BOOL,
 [input] bInCopyCode : BOOL,
 [input] cycletime : LREAL,
 [input] dofs : SINT) : BOOL
__
```

--------------------------------

### Per-DoF control interface and synchronization mixing

Source: https://stefanbesler.github.io/struckig/userguide/cycle_integration.html

Shows how to mix control interfaces and synchronization modes per axis. Use carefully because mixed policies can change trajectory shape and duration in non-obvious ways.

```ST
otg.ControlInterface := Struckig.ControlInterfaceType.Position;
otg.PerDofControlInterface[1] := Struckig.ControlInterfaceType.Velocity;

otg.Synchronization := Struckig.SynchronizationType.TimeSync;
otg.PerDofSynchronization[2] := Struckig.SynchronizationType.None;
```

--------------------------------

### VelocityAtTime Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates velocity at a given time given initial velocity, acceleration, and jerk.

```APIDOC
## METHOD VelocityAtTime

### Description
Calculates velocity at a given time given initial velocity, acceleration, and jerk.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **j** (LREAL) - Required - Jerk.
- **t** (LREAL) - Required - Time.

### Returns
- **LREAL** - Velocity at time t.
```

--------------------------------

### Configure a time-constrained single-axis move

Source: https://stefanbesler.github.io/struckig/userguide/single_axis_trajectory.html

Configures a single-axis trajectory with a specified minimum duration. MinDuration stretches the motion only if the unconstrained solution is faster.

```ST
PROGRAM ExampleSingleAxis
VAR
  otg : Struckig.Otg(cycletime := 0.001, dofs := 1) := (
    EnableAutoPropagate := TRUE,
    Synchronization := Struckig.SynchronizationType.TimeSync,
    MinDuration := 10.0, // considered when synchronization is TimeSync
    MaxVelocity :=         [2000.0],
    MaxAcceleration :=     [20000.0],
    MaxJerk :=             [800000.0],
    CurrentPosition :=     [0.0],
    CurrentVelocity :=     [0.0],
    CurrentAcceleration := [0.0],
    TargetPosition :=      [100.0],
    TargetVelocity :=      [0.0],
    TargetAcceleration :=  [0.0]
  );
END_VAR

otg();
```

--------------------------------

### AccelerationBrake Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates an acceleration brake profile.

```APIDOC
## METHOD AccelerationBrake

### Description
Calculates an acceleration brake profile.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **vMax** (LREAL) - Required - Maximum velocity.
- **vMin** (LREAL) - Required - Minimum velocity.
- **aMax** (LREAL) - Required - Maximum acceleration.
- **aMin** (LREAL) - Required - Minimum acceleration.
- **jMax** (LREAL) - Required - Maximum jerk.
```

--------------------------------

### Method PassOutputToInput

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Copies current cycle outputs to the corresponding current-state inputs.

```APIDOC
## PassOutputToInput

### Description
Copies `NewPosition`, `NewVelocity`, and `NewAcceleration` to the corresponding current-state inputs. This helper connects one cycle output to the next cycle input and is useful in closed-loop PLC applications.

### Method
PassOutputToInput

### Signature
```
METHOD PassOutputToInput ()
```

### Equivalent Manual Assignment
```
CurrentPosition := NewPosition;
CurrentVelocity := NewVelocity;
CurrentAcceleration := NewAcceleration;
```
```

--------------------------------

### Duration Property

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg1.html

Retrieves the total planned trajectory duration in seconds, valid after successful calculation.

```Structured Text
PROPERTY Duration : LREAL
__
```

--------------------------------

### PassOutputToInput

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Copies NewPosition, NewVelocity, and NewAcceleration to the corresponding current-state inputs. Useful in closed-loop PLC applications.

```APIDOC
## PassOutputToInput

### Description
Copies `NewPosition`, `NewVelocity`, and `NewAcceleration` to the corresponding current-state inputs. This helper connects one cycle output to the next cycle input and is useful in closed-loop PLC applications.

### Method
PassOutputToInput

### Parameters
None

### Returns
None
```

--------------------------------

### Recommended usage of ValidateInput before applying new targets

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Recommended pattern: call ValidateInput with both arguments TRUE, then either call the cyclic calculation or inspect ErrorCode and ErrorMessage.

```iecst
IF otg.ValidateInput(TRUE, TRUE) THEN
  // inputs are valid, call cyclic calculation
  otg();
ELSE
  // inspect otg.ErrorCode() and otg.ErrorMessage()
END_IF
__
```

--------------------------------

### SmoothVelocityBrake Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Jerk-limited brake from (v0, a0) to (vTarget, a=0). Produces a 2- or 3-phase profile that ends with zero acceleration.

```APIDOC
## METHOD SmoothVelocityBrake

### Description
Jerk-limited brake from (v0, a0) to (vTarget, a=0). Produces a 2- or 3-phase profile that ends with zero acceleration, so Step1 does not inherit a large residual deceleration. jMax > 0 means braking from above (v0 > vTarget), jMax < 0 means from below. If the profile cannot be computed (e.g. a0 opposes braking too strongly), t[0] remains 0 so the caller can fall back to legacy VelocityBrake.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **vTarget** (LREAL) - Required - Target velocity.
- **aMax** (LREAL) - Required - Maximum acceleration.
- **jMax** (LREAL) - Required - Maximum jerk.
```

--------------------------------

### Calculate Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Internal method for performing trajectory calculations.

```Structured Text
METHOD PRIVATE Calculate ()
__
```

--------------------------------

### Reset

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Resets the instance (e.g. to force a new calculation on the next update). Use when external state jumps occur.

```APIDOC
## Reset

### Description
Resets the instance (e.g. to force a new calculation on the next update). This method can be used to trigger a new trajectory even if inputs do not change. Use this when external state jumps occur (manual jog, homing, drive reset) and the generator must reinitialize from the new measured state.

### Method
Reset

### Parameters
None

### Returns
None
```

--------------------------------

### Method Reset

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Resets the instance to force a new calculation on the next update.

```APIDOC
## Reset

### Description
Resets the instance (e.g. to force a new calculation on the next update). This method can be used to trigger a new trajectory even if inputs do not change. Use this when external state jumps occur (manual jog, homing, drive reset) and the generator must reinitialize from the new measured state.

### Method
Reset

### Signature
```
METHOD Reset ()
```
```

--------------------------------

### ValidateInput Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg1.html

Validates input states against kinematic limits before trajectory calculation.

```Structured Text
METHOD ValidateInput (
 [input] checkCurrentStateWithinLimits : BOOL,
 [input] checkTargetStateWithinLimits : BOOL) : BOOL
__
```

```Structured Text
ruckig.ValidateInput(input, currentState: FALSE, targetState: TRUE);
// returns boolean
__
```

```Structured Text
Abs(acceleration) <= Sqrt(2 * max_jerk * (max_velocity - Abs(velocity))).
__
```

```Structured Text
IF otg.ValidateInput(TRUE, TRUE) THEN
  // inputs are valid, call cyclic calculation
  otg();
ELSE
  // inspect otg.ErrorCode() and otg.ErrorMessage()
END_IF
__
```

--------------------------------

### Ruckig MIT License

Source: https://stefanbesler.github.io/struckig/userguide/notices.html

The MIT License notice for the ruckig project, which Struckig is a port of. It grants permission to use, copy, modify, merge, publish, distribute, sublicense, and sell copies of the software, subject to the conditions stated.

```text
MIT License

Copyright (c) 2021-2024 Lars Berscheid

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
```

--------------------------------

### Constraint-limited preset for single-axis trajectory

Source: https://stefanbesler.github.io/struckig/userguide/single_axis_trajectory.html

A preset configuration with tighter constraints on velocity, acceleration, and jerk.

```ST
PROGRAM ExampleSingleAxisConstraintPreset
VAR
  otg : Struckig.Otg(cycletime := 0.001, dofs := 1) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0],
    CurrentVelocity :=     [0.0],
    CurrentAcceleration := [0.0],
    TargetPosition :=      [10.0],
    TargetVelocity :=      [0.0],
    TargetAcceleration :=  [0.0],
    MaxVelocity :=         [1.5],
    MaxAcceleration :=     [0.8],
    MaxJerk :=             [1.0]
  );
END_VAR

otg();
```

--------------------------------

### Finalize Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Finalizes third-order braking by integrating along kinematic state.

```APIDOC
## METHOD Finalize

### Description
Finalizes third-order braking by integrating along kinematic state.

### InOuts
- **ps** (LREAL) - InOut - Position state.
- **vs** (LREAL) - InOut - Velocity state.
- **as** (LREAL) - InOut - Acceleration state.
```

--------------------------------

### Position preset for single-axis trajectory

Source: https://stefanbesler.github.io/struckig/userguide/single_axis_trajectory.html

A preset configuration for a standard position-based move.

```ST
PROGRAM ExampleSingleAxisPositionPreset
VAR
  otg : Struckig.Otg(cycletime := 0.001, dofs := 1) := (
    EnableAutoPropagate := TRUE,
    CurrentPosition :=     [0.0],
    CurrentVelocity :=     [0.0],
    CurrentAcceleration := [0.0],
    TargetPosition :=      [10.0],
    TargetVelocity :=      [0.0],
    TargetAcceleration :=  [0.0],
    MaxVelocity :=         [3.0],
    MaxAcceleration :=     [2.0],
    MaxJerk :=             [5.0]
  );
END_VAR

otg();
```

--------------------------------

### Cyclic

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

This method simply calls the body of the function block.

```APIDOC
## Cyclic

### Description
This method simply calls the body of the function block.

### Method
Cyclic

### Parameters
None

### Returns
None
```

--------------------------------

### ValidateInput

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Checks that the Struckig OTG can generate a trajectory before the actual calculation step. Returns FALSE if an input is not valid.

```APIDOC
## ValidateInput

### Description
To check that _Struckig_ is able to generate a trajectory before the actual calculation step, returns `FALSE` if an input is not valid. The two boolean arguments check that the current or target state are within the limits. The check includes a typical catch of jerk-limited trajectory generation: When the current state is at maximal velocity, any positive acceleration will inevitable lead to a velocity violation _at a future timestep_. In general, this condition is fulfilled when `Abs(acceleration) <= Sqrt(2 * max_jerk * (max_velocity - Abs(velocity)))`. If both arguments are set to true, the calculated trajectory is guaranteed to be _within the kinematic limits throughout_ its duration. Also, note that there are range constraints of the input due to numerical reasons.

### Method
ValidateInput

### Parameters
#### Inputs
- **checkCurrentStateWithinLimits** (BOOL) - Required - Check if current state is within limits.
- **checkTargetStateWithinLimits** (BOOL) - Required - Check if target state is within limits.

### Returns
- **BOOL** - TRUE if inputs are valid, FALSE otherwise.
```

--------------------------------

### SecondOrderPositionBrakeTrajectory Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates brake trajectory for second-order position interface.

```APIDOC
## METHOD SecondOrderPositionBrakeTrajectory

### Description
Calculates brake trajectory for second-order position interface.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **vMax** (LREAL) - Required - Maximum velocity.
- **vMin** (LREAL) - Required - Minimum velocity.
- **aMax** (LREAL) - Required - Maximum acceleration.
- **aMin** (LREAL) - Required - Minimum acceleration.
```

--------------------------------

### AtTime1 method declaration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Declares the AtTime1 method that returns the kinematic state for a single DoF without vector pointers. Only allowed for DoF = 1; for higher degrees of freedom use AtTime. Using this method for DoF > 0 will not yield any result.

```iecst
METHOD AtTime1 (
 [input] t : LREAL,
 [input] new_position : REFERENCE TO LREAL,
 [input] new_velocity : REFERENCE TO LREAL,
 [input] new_acceleration : REFERENCE TO LREAL,
 [input] new_jerk : REFERENCE TO LREAL)
__
```

--------------------------------

### PassOutputToInput method declaration and equivalent assignments

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Declares the PassOutputToInput method that copies NewPosition, NewVelocity, and NewAcceleration to the corresponding current-state inputs. The equivalent manual assignments are shown.

```iecst
METHOD PassOutputToInput ()
__
```

```iecst
CurrentPosition := NewPosition;
CurrentVelocity := NewVelocity;
CurrentAcceleration := NewAcceleration;
__
```

--------------------------------

### SecondOrderVelocityBrakeTrajectory Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates brake trajectory for second-order velocity interface.

```APIDOC
## METHOD SecondOrderVelocityBrakeTrajectory

### Description
Calculates brake trajectory for second-order velocity interface.

### Parameters
No parameters.
```

--------------------------------

### VelocityBrake Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates a velocity brake profile.

```APIDOC
## METHOD VelocityBrake

### Description
Calculates a velocity brake profile.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **vMax** (LREAL) - Required - Maximum velocity.
- **vMin** (LREAL) - Required - Minimum velocity.
- **aMax** (LREAL) - Required - Maximum acceleration.
- **aMin** (LREAL) - Required - Minimum acceleration.
- **jMax** (LREAL) - Required - Maximum jerk.
```

--------------------------------

### VelocityAtZeroAcceleration Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates velocity at the moment acceleration becomes zero.

```APIDOC
## METHOD VelocityAtZeroAcceleration

### Description
Calculates velocity at the moment acceleration becomes zero.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **j** (LREAL) - Required - Jerk.

### Returns
- **LREAL** - Velocity at zero acceleration.
```

--------------------------------

### FinalizeSecondOrder Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Finalizes second-order braking by integrating along kinematic state.

```APIDOC
## METHOD FinalizeSecondOrder

### Description
Finalizes second-order braking by integrating along kinematic state.

### InOuts
- **ps** (LREAL) - InOut - Position state.
- **vs** (LREAL) - InOut - Velocity state.
- **as** (LREAL) - InOut - Acceleration state.
```

--------------------------------

### Clamp

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Clamp.html

Clamps a value to the closed interval [minimum, maximum]. Returns the minimum if the value is below the lower bound, the maximum if above the upper bound, and the value itself otherwise.

```APIDOC
## Clamp

### Description
Clamps `value` to the closed interval `[minimum, maximum]`. If `value` is below `minimum`, returns `minimum`. If `value` is above `maximum`, returns `maximum`.

### Namespace
Struckig

### Function Signature
FUNCTION Clamp (
  [input] value : LREAL,
  [input] minimum : LREAL,
  [input] maximum : LREAL) : LREAL

### Parameters
#### Inputs
- **value** (LREAL) - Required - Input value to clamp.
- **minimum** (LREAL) - Required - Lower bound.
- **maximum** (LREAL) - Required - Upper bound.

### Returns
- **LREAL** - The clamped value.
```

--------------------------------

### HasChanged Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Checks if the internal state has changed.

```Structured Text
METHOD PRIVATE HasChanged () : BOOL
__
```

--------------------------------

### AtTime method declaration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Declares the AtTime method that returns the kinematic state (position, velocity, acceleration, jerk) and section at absolute trajectory time t. For t >= Duration, the final state is extended with constant acceleration behavior. Use AtTime1 for single-axis access without vector pointers.

```iecst
METHOD AtTime (
 [input] t : LREAL,
 [input] new_position : POINTER TO LREAL,
 [input] new_velocity : POINTER TO LREAL,
 [input] new_acceleration : POINTER TO LREAL,
 [input] new_jerk : POINTER TO LREAL,
 [input] new_section : POINTER TO INT)
__
```

--------------------------------

### Condition for valid input

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Mathematical condition that must be fulfilled for the input to be valid, related to jerk-limited trajectory generation.

```text
Abs(acceleration) <= Sqrt(2 * max_jerk * (max_velocity - Abs(velocity))).
```

--------------------------------

### SetBusy Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Sets the busy status of the function block.

```Structured Text
METHOD PROTECTED SetBusy (
 [input] on : BOOL)
__
```

--------------------------------

### AccelerationBrake method declaration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Declares the AccelerationBrake method with inputs v0, a0, vMax, vMin, aMax, aMin, jMax.

```iecst
METHOD AccelerationBrake (
 [input] v0 : LREAL,
 [input] a0 : LREAL,
 [input] vMax : LREAL,
 [input] vMin : LREAL,
 [input] aMax : LREAL,
 [input] aMin : LREAL,
 [input] jMax : LREAL)
__
```

--------------------------------

### PositionBrakeTrajectory Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/BrakeProfile.html

Calculates brake trajectory for third-order position interface.

```APIDOC
## METHOD PositionBrakeTrajectory

### Description
Calculates brake trajectory for third-order position interface.

### Inputs
- **v0** (LREAL) - Required - Initial velocity.
- **a0** (LREAL) - Required - Initial acceleration.
- **vMax** (LREAL) - Required - Maximum velocity.
- **vMin** (LREAL) - Required - Minimum velocity.
- **aMax** (LREAL) - Required - Maximum acceleration.
- **aMin** (LREAL) - Required - Minimum acceleration.
- **jMax** (LREAL) - Required - Maximum jerk.
- **SmoothBrake** (BOOL) - Required - Indicates if smooth braking is used.
```

--------------------------------

### ErrorMessage

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Returns a human-readable error description. If no custom error text exists, a default description is derived from ErrorCode.

```APIDOC
## ErrorMessage

### Description
Returns a human-readable error description. If no custom error text exists, a default description is derived from ErrorCode.

### Method
ErrorMessage

### Parameters
None

### Returns
- **STRING(255)** - The error message.
```

--------------------------------

### Method ErrorCode

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Returns the current error code for diagnostics.

```APIDOC
## ErrorCode

### Description
Returns the current error code. Use together with ErrorMessage for diagnostics.

### Method
ErrorCode

### Signature
```
METHOD ErrorCode () : TrajectoryErrorCode
```

### Returns
- **TrajectoryErrorCode** - Current error code.
```

--------------------------------

### ValidateInputOrAbort method declaration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Declares the protected ValidateInputOrAbort method with the same parameters and return type as ValidateInput.

```st
METHOD PROTECTED ValidateInputOrAbort (
 [input] checkCurrentStateWithinLimits : BOOL,
 [input] checkTargetStateWithinLimits : BOOL) : BOOL
__
```

--------------------------------

### Otg Function Block Definition

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

The interface definition for the Otg function block, detailing all input and output parameters for trajectory generation.

```Structured Text
FUNCTION_BLOCK Otg IMPLEMENTS Struckig.IOtg (
 [input] CycleTime : LREAL,
 [input] Dofs : INT,
 [input] Enabled : ARRAY[0..ParameterList.MaxDoFs] OF BOOL,
 [input] ControlInterface : ControlInterfaceType,
 [input] Synchronization : SynchronizationType,
 [input] PerDofControlInterface : ARRAY[0..ParameterList.MaxDoFs] OF ControlInterfaceType,
 [input] PerDofSynchronization : ARRAY[0..ParameterList.MaxDoFs] OF SynchronizationType,
 [input] Discretization : DiscretizationType,
 [input] CurrentPosition : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] CurrentVelocity : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] CurrentAcceleration : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] TargetPosition : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] TargetVelocity : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] TargetAcceleration : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MaxVelocity : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MaxAcceleration : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MaxJerk : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MinVelocity : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MinAcceleration : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [input] MinDuration : LREAL,
 [input] EnableAutoPropagate : BOOL,
 [input] SmoothBrake : BOOL,
 [output] NewPosition : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [output] NewVelocity : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [output] NewAcceleration : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [output] NewJerk : ARRAY[0..ParameterList.MaxDoFs] OF LREAL,
 [output] NewCalculation : BOOL,
 [output] CurrentTime : LREAL)
```

--------------------------------

### ValidateInput condition for jerk-limited trajectory generation

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Mathematical condition that must be fulfilled to avoid velocity violations at a future timestep when the current state is at maximal velocity.

```text
Abs(acceleration) <= Sqrt(2 * max_jerk * (max_velocity - Abs(velocity))).
__
```

--------------------------------

### Fmod

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Fmod.html

Computes the floating-point remainder of x / y with truncation toward zero.

```APIDOC
## Fmod

### Description
Computes the floating-point remainder of `x / y` with truncation toward zero: `x - TRUNC(x / y) * y`.

### Function Signature
`FUNCTION Fmod (x : LREAL, y : LREAL) : LREAL`

### Parameters
- **x** (LREAL) - Required - Dividend.
- **y** (LREAL) - Required - Divisor.

### Returns
- **LREAL** - The remainder of `x / y`.
```

--------------------------------

### Reset method declaration

Source: https://stefanbesler.github.io/struckig/reference/Struckig/IOtg.html

Declares the Reset method that resets the instance to force a new calculation on the next update. Use when external state jumps occur (manual jog, homing, drive reset) and the generator must reinitialize from the new measured state.

```iecst
METHOD Reset ()
__
```

--------------------------------

### AbortErrorId Method

Source: https://stefanbesler.github.io/struckig/reference/Struckig/Otg.html

Handles error aborting with an error ID and message.

```Structured Text
METHOD PROTECTED AbortErrorId (
 [input] errorId : INT,
 [inout] message : STRING)
__
```