ACCEPTED SOLUTION
Accepted Solutions
If you define a vector with 8 steps you will get a vector with 9 entries.
So the number of combinations from vectors with 8 steps, 6 steps and 12 steps would be 819, not 576 😉
I would suggest a different approach. Instead of creating these huge input vectors with repeated values I would leave them as we already had defined.
Its a good thing that you have turned all your calculations into function of the three inputs.
I think what you are interested in are the three forces and the maximum of each.
So why not separate definition and display of values.
Define your functions first without having the inputs already defined and without displaying numeric intermediate results like angles.
After all functions are defined, define the three input vectors and use a program to cycle through all values:
FAall, etc. are vectors with 819 elements (because I used your example of 8, 6 and 12 steps for the input vectors).
At the end of the attached Prime 10 sheet I also show a way to create a table of values, not sure if that would be of interest:
As a byproduct, you also are offered a way of creating the three input vectors with repeating elements that you have suggested. You can therefore continue with your approach and then decide which is more suitable for you.
Prime 10 sheet attached
Welcome to the forum.
You should always whenever somehow possible attach your worksheet and also say which version of Prime you are using. This is especially important to do if, like so many, you are not using the latest version.
According your problem - you are not showing how you defined your three variables.
My guess is that you defined them as ranges and not as vectors which would explain the effects you experience.
Solution is to define the three input variables as vectors and use vectorization when you call your function FA(hS, hA, hZ). Depending on the way your function FA is defined it could be that explicit vectorization is not necessary because Prime uses automatic implicit vectorization, but I would strongly suggest that you apply explicit vectorization in any case.
If you are using Prime 11 you can use the convenient new function "vec" to create the vector. If you are using an older version there sure are many other ways to create your vectors or turn the ranges you have defined into vectors.
If you are unsure, feel free to come back here, attach your worksheet, state the version and ask.
BTW, the difference between vectors and ranges has confused users ever since Mathcad was originated. With Prime it got even worse, because both look completely identical when displayed. So you are certainly not alone and without doubt not the first to have problems with this. 😉
Here is a small example demonstrating the difference between ranges and vectors and also the usage of vectorization:
Prime 11 sheet attached
Here are two ways to create the necessary input vectors.
For convenience I use a variable "n" which is the number of intervals between start and end value of the vector which means that the vectors will have n+1 elements each.
First method uses a range variable "i" which had to be defined:
A range variable is not a collection of values but rather kind of an implicit loop. So the same effect can be achieved by using a small utility program with an explicit for-loop. This utility function could be hidden at the top of the sheet in a collapsed area or to the right of the right margin. By using this function, we can omit the definition of the range variable “i” which is the reason I prefer this way.
The utility function:
and how to use it:
A word of caution: You called your various function with the vectors h.Z, etc as function arguments and did not use vectorization (the arrow over the expression). This seems to work well in the case of your function, but can lead to dangerous errors that are difficult to detect.
For example, if one of your functions contained an expression such as
the function result would be incorrect when called without vectorization and you might not recognize it at first glance. Here are the differences:
Reason for the difference is that without vectorization the expression
is calculated as the scalar product of two vectors. Adding the vector h.S makes the result a vector again.
Using vectorization lets Prime do the multiplication element by element and collects the results in a vector, which is whats needed here
If you feel the using vectorization every time a function is called with vector arguments is annoying and may irritate a reader, you can also apply the vectorization when you define the function. For example:
So here vectorization is not necessary when you call the function.
Personally I try to use vectorization every time I intend to call a function written for scalar arguments with vector arguments, no matter if its really necessary (because otherwise a scalar product would be calculated) or not - just to be on the safe side.
Prime 10 sheet attached
Thank you Werner for you explenations. I think we are getting closer to the solution.
I try to rebuild your makeVec function hence i can not open your Mathcad Sheet (my version is 10.0.1.0).
I don't know how to use ORIGIN correctly.
Everytime I try to ORIGIN+1 it makes this:
So i try something like that:
thanks in advance
I have to end the for loop with Ri otherwise I get an errror with it. Therefore, i get last value of Ri only.
I try to rebuild your makeVec function hence i can not open your Mathcad Sheet (my version is 10.0.1.0).
As I also had written, the sheet I had attached in my second reply was created in Prime 10 (actually the exact version 10.0.1.0 which you are using, too). You sure should have no troubles opening it if you are using 10.0.1.0.
I just tried and the sheet I had attached opens without troubles in Prime 10 (no matter if 10.0.0.0 or 10.0.1.0).
Everytime I try to ORIGIN+1 it makes this:
Reason for your problem seems to be that you are using the literal index (which is just part of the variable's name and won't allow a "+" and not the vector/matrix index. Furthermore its not "ORIGIN+1" but rather "ORIGIN+i"
As you are using the default value 0 for ORIGIN in your sheet it will also work if you are just using the index "i", but it has to be the vector index which you get by typing a "[" (and not Ctrl+-) or you may chose it from the menu.
BTW, when I used "R" for the local variable I was thinking on "R"eturn value or "R"result. You may chose any name you like 😉
Thank you Werner,
you are right it is the correct version of the file you sent. I can open it.
Programming of making one vector works but what i really like to have following.
Inputs for start, end and number of steps for each cylinder.
Programm has to create three vectors with number of entries iA*iZ*iS like the following pattern:
Means result
of first line cyl A retracted, cyl Z retracted, cyl hS retrected
second lin cyl A retracted, cyl Z retracted, cyl hS extended
...
Finally I like to define something like 8 steps for A, 6 Steps for Z and 12 Steps for S. Means vector with 576 entries.
I hope you can support me with working loops because I stuck in that issue.
If you define a vector with 8 steps you will get a vector with 9 entries.
So the number of combinations from vectors with 8 steps, 6 steps and 12 steps would be 819, not 576 😉
I would suggest a different approach. Instead of creating these huge input vectors with repeated values I would leave them as we already had defined.
Its a good thing that you have turned all your calculations into function of the three inputs.
I think what you are interested in are the three forces and the maximum of each.
So why not separate definition and display of values.
Define your functions first without having the inputs already defined and without displaying numeric intermediate results like angles.
After all functions are defined, define the three input vectors and use a program to cycle through all values:
FAall, etc. are vectors with 819 elements (because I used your example of 8, 6 and 12 steps for the input vectors).
At the end of the attached Prime 10 sheet I also show a way to create a table of values, not sure if that would be of interest:
As a byproduct, you also are offered a way of creating the three input vectors with repeating elements that you have suggested. You can therefore continue with your approach and then decide which is more suitable for you.
Prime 10 sheet attached
