Hi all, I am putting together a quick worksheet to calculate factor of safety against soil liquefaction triggering. As I have been going step-by-step and defining the various variables, I noticed that all the calculations take place more or less instantaneously, whereas the last variable I defined (N1_60cs) seems to take a relatively long time to calculate (approximately 12 seconds on my machine). The worksheet I have so far is attached.

Any thoughts as to what is causing this? Thanks in advance!

Seismic Site Class & Liquefaction Potential.sm (124 KiB) downloaded 53 time(s).

Hi,

select all > optimization > numeric

AND EITHER

z:z



OR

z:+line(...)




This is because z:line() is a procedure (something like a function, but for variables); it doesn't evaluates in place on definition, hence is completely calculated from scratch every time you need z, z[j], etc....
Using a + between the definition operator and the line() function, you don't have anymore a procedure; using z:z, it evaluates once from that point onwards.


Seismic Site Class & Liquefaction Potential_num.sm (124 KiB) downloaded 55 time(s).

Perfect, that works!

Much appreciated as always!

You're welcome!

Your last for/loop, as given, takes 32 s
isolate the three components
a:=eval(a) , b:=eval(b) ...
timing drops 4 s

Hi. This is another option, without numeric optimizations. You don't need to use line in your calculations. As Davide says, that makes the calculations faster to SMath.

Seismic Site Class & Liquefaction Potential.sm (122 KiB) downloaded 49 time(s).


Bes regards.
Alvaro.

Thank you, Alvaro! I like having the lines because it makes it clearer as to which parameter I am defining. I just didn't realize it was slowing it down so much (although putting + in front of the lines makes the problem go away - sort of a win-win!).

Thanks again.

Wrote

Hi. This is another option, without numeric optimizations. You don't need to use line in your calculations. As Davide says, that makes the calculations faster to SMath.

Seismic Site Class & Liquefaction Potential.sm (122 KiB) downloaded 49 time(s).


Bes regards.
Alvaro.

Wrote

Hi. This is another option, without numeric optimizations. You don't need to use line in your calculations.

Another issue is, all calculation can be done under one for() loop.
If data matrices is much longer and not 10, this would benefit too.
However, the way it is written look much nicer and cleaner.

Wrote

I like having the lines because it makes it clearer as to which parameter I am defining.

Hi. You can eliminate all the for loops using the SMath index vectorization, which work more or less like the same concept in matlab, with cases() for having some visual separation



Seismic Site Class & Liquefaction Potential v2.sm (119 KiB) downloaded 54 time(s).

Best regards.
Alvaro.