panel set twindow_function step
The STEP function approximates the HEAVERSINE step function with a cubic polynomial. The figure illustrates the STEP function.
Figure 1. Step Function
The value x is the independent variable, x0 and x1 define the variable values at which the step begins and ends, h0 and h1 are the initial value and the final value of the step. The equation that defines STEP is as follows.
Format:
panel set twindow_function step | |
|---|---|
x= | runtime function |
begin_at= | real |
end_at= | real |
angular_begin_at= | angle |
angular_end_at= | angle |
initial_function_value= | real |
final_function_value= | real |
angular_initial_function_value= | angle |
angular_final_function_value= | angle |
Step5 = | boolean |
Description:
Parameter | Value Type | Description |
|---|---|---|
x | Run Time Function | Specifies a run time function |
begin_at | Real | Specifies the non-angular value of "x" (the independent variable) where the haversine function begins. The BEGIN_AT parameter is represented below as "x0" |
end_at | Real | Specifies the non-angular value of "x" (the independent variable) where the haversine function ends. The END_AT parameter is represented below as "x1" |
angular_begin_at | Angle | Specifies the angular value of "x" (the independent variable) where the haversine function begins. The ANGULAR_BEGIN_AT parameter is represented below as "x0" |
angular_end_at | Angle | Specifies the angular value of "x" (the independent variable) where the haversine function ends. The ANGULAR_END_AT parameter is represented below as "x1" |
initial_function_value | Real | Specifies the non-angular value of "x" (the independent variable) where the haversine function is at its initial value. The INITIAL_FUNTION_VALUE parameter is represented below as "h0" |
final_function_value | Real | Specifies the non-angular value of "x" (the independent variable) where the haversine function has its final value. The FINAL_FUNCTION_VALUE parameter is represented below as "h1" |
angular_initial_function_value | Angle | Specifies the angular value of "x" (the independent variable) where the haversine function is at its initial value. The ANGULAR_INITIAL_FUNTION_VALUE parameter is represented below as "h0" |
angular_final_function_value | Angle | Specifies the angular value of "x" (the independent variable) where the haversine function has its final value. The ANGULAR_FINAL_FUNCTION_VALUE parameter is represented below as "h1" |
Step5 | Yes/No | Specifies a Boolean value |
Cautions:
1. The value x1 must not equal x0. Equal values of x1 and x0 imply a discontinuous step, which STEP cannot fit.