Appendix E: A Detailed Look at f 257
Obtaining the Current Approximation to an Integral
When the calculation of an integral is requiring more time than you care
to wait, you may want to stop and display the current approximation. You
can obtain the current approximation, but not its uncertainty.
Pressing ¦ while the HP 15c is calculating an integral halts the
calculation, just as it halts the execution of a running program. When you
do so, the calculator stops at the current program line in the subroutine
you wrote for evaluating the function, and displays the result of executing
the preceding program line. Note that after you halt the calculation, the
current approximation to the integral is not the number in the X-register
nor the number in any other stack register. Just as with any program,
pressing ¦ again starts the calculation from the program line at which
it was stopped.
The f algorithm updates the current approximation and stores it in the
LAST X register after evaluating the function at each new sample point.
To obtain the current approximation, therefore, simply halt the
calculator, single-step if necessary through your function subroutine until
the calculator has finished evaluating the function and updating the
current approximation. Then recall the contents of the LAST X register,
which are updated when the n instruction in the function subroutine
is executed.
While the calculator is updating the current approximation, the display is
blank and does not show
running
. (While the calculator is executing your
function subroutine,
running
is displayed.) Therefore, you might avoid
having to single-step through your subroutine by halting the calculator at
a moment when the display is blank.
In summary, to obtain the current approximation to an integral, follow the
steps below.
1. Press ¦ to halt the calculator, preferably while the display is
blank.
2. When the calculator halts, switch to Program mode to check the
current program line.
If that line contains the subroutine label, return to Run mode
and view the LAST X register (step 3).
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