Parametric scientific computing ?

• Take a "parametrized" input file (contains $x, $y,... replacing some numerical values),
• Define values taken by these parameter (or let a dedicated algorithm do),
• Run calculations on remote ressources,
• Parse results & analyse.

Funz eases this "functional" wrapping of your simulation.

• Python:
• R:

Funz makes your simulations callable as functions for any of cmd.exe / bash / python / R / Java:

• From Excel spreadsheet "sheet.xlsx", get cell commented with "=total" for each 10 different values of cell commented with "$income": \

  Funz.bat Run -m Excel -if sheet.xlsx -iv income=10,20,30,35,40,42,45,47,50,52 -oe total`

• Search convection coefficient which leads to a minimal temperature of 25.5 degrees with OpenModelica PDE solver: \

  Funz.sh RunDesign -m OpenModelica -if NewtonCooling.mo -iv convection=[0.5,1.0] -oe "min(T)" -d Brent -do ytarget=25.5`

• Build a response surface of MySimulator for x1 in [-5,5] and x2 in [-5,5]:

  # pip install Funz
  import Funz
  X = {'x1':np.arange(-5, 5, 0.25),'x2':np.arange(-5, 5, 0.25)}
  y = Funz.Run(model="MySimulator",input_files=["inputfile1","inputfile2"],input_variables= X ,all_combinations=True)['y']
  # mplt.plot_surface(X['x1'], X['x2'], y)

• Propagate x1 as uniform random and x2 as normal random uncertainties through MySimulator:

  # devtools::install_github("Funz/Funz.R")
  library(Funz)
  hist( Funz::Run(model="MySimulator",input.files=c("inputfile1","inputfile2"),input.variables= list(x1=runif(100),x2=rnorm(100)) )['y'] )

• Chain simulations:

  # pip install Funz
  import Funz
  X = {'x1':..., 'x2':...}
  # first simulator, inputfile1 and inputfile2 contain 'x1' and 'x2' variables
  y1 = Funz.Run(model="MySimulator1",input_files=["inputfile1","inputfile2"],input_variables= X)['y']
  # second simulator, depends on results of first one also, inputfile3 contains 'x1', 'x2' and 'y1' variables
  y2 = Funz.Run(model="MySimulator2",input_files=["inputfile3"],input_variables= X.update(y1))['z']
  # post-processing in Excel (postrpro.xlsx sheet contains cells commented by '$x1' or '$x2'), returns cell value commented as "=result"
  result  = Funz.Run(model="Excel",input_files=["postpro.xlsx"],input_variables= X.update(y2))['result']