# AdaptiveParameters

## Adaptive Parameters: PG Code Snippet

*This code snippet shows the essential PG code to include adaptive parameters in a problem solution. Note that these are insertions, not a complete PG file. This code will have to be incorporated into the problem file on which you are working. This page is largely drawn from this discussion thread, which looks at one application.*

Note that if we want to have a formula that is only unique up to a specified *additive* constant, we have the `upToConstant`

option in the answer checker, as discussed in the formulas up to constants page.

PG problem file | Explanation |
---|---|

$aSoln = Compute("e^x - 1"); |
In this case we work with the adaptive parameters only in the custom answer checker that we use for the problem, so no special set-up needs to be done in the problem set-up section of the PG file. Here we've defined |

BEGIN_TEXT Find one solution to the differential equation \[ \frac{dy}{dx} = y + 1. \] \( y = \) \{ ans_rule(35) \} END_TEXT |
And the text section of the file is similarly "normal." The general solution to this differential equation is y = e - 1. We use the adaptive parameter to find the value of the constant.
^{c} e^{x} |

ANS( $aSoln->cmp( checker => sub { my ( $correct, $student, $self ) = @_; my $context = Context()->copy; $context->flags->set(no_parameters=>0); $context->variables->add('C0'=>'Parameter'); my $c0 = Formula($context,'C0'); $student = Formula($context,$student); $correct = Formula($context,"$c0 e^x - 1"); return $correct == $student; })); |
Then in the answer, we define a custom answer checker that creates a copy of the Context in which an adaptive parameter is allowed, redefines the student and correct answers in that context, and checks that the answers match with the adaptive parameter.
Again, note that if we just want to allow a solution to differ by an |