---
myst:
    substitutions:
        macro:
            python: 1-5,11-42
            cpp: 4-6,9-36
        bloc1:
            python: "13"
            cpp: "10"
        bloc2:
            python: 16-24
            cpp: 5,12-19
        bloc3:
            python: 26-33
            cpp: 22-29
        bloc4:
            python: 36-38
            cpp: "32"
        bloc5:
            python: "40"
            cpp: "34"
        console:
            python: 2-
            cpp: 5-
---
# Macro "**sensitivityFiniteDifferencesFunctionFlowrate.{{extension}}**"

## Objective

The objective of this macro is to compute the finite differences indexes on a function.

## Macro {{uranie}}

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + macro[language] + "\n"
    + "```"
}}
            
The function `flowrateModel` is loaded from the macro `UserFunctions.C` (the file can be found in 
`${URANIESYS}/share/uranie/macros`)

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc1[language] + "\n"
    + "```"
}}
            
Each parameter is related to the {{tds}} as a `TAttribute` and obeys an uniform law on specific interval:

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc2[language] + "\n"
    + "```"
}}
                        
Each parameter gets a default value:

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc3[language] + "\n"
    + "```"
}}
                        
To instantiate the `TFiniteDifferences` object, one uses the {{tds}}, the name of the function, the 
name of the output of the function, the names of the input variables separated by ":" and the option 
to specify the sampling:

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc4[language] + "\n"
    + "```"
}}
                        
Computation of sensitivity indexes:

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/uranie/doc/sensitivity/use_cases/" + language + "/sensitivityFiniteDifferencesFunctionFlowrate." 
        + extension
    + "\n"
    + ":language: " + language + "\n"
    + ":lines: " + bloc5[language] + "\n"
    + "```"
}}
                        
## Console

{{
    "```{" "literalinclude" "} " + parent_dir +
        "/roottest/build/uranie/doc/sensitivity/use_cases/" + language 
        + "/sensitivityFiniteDifferencesFunctionFlowrate_clean.log"
    + "\n"
    + ":language: none\n"
    + ":lines: " + console[language] + "\n"
    + "```"
}}