[WP 34s] Trapezoidal approximation of area under curve - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: Not HP Calculators (/forum-7.html) +--- Forum: Not quite HP Calculators - but related (/forum-8.html) +--- Thread: [WP 34s] Trapezoidal approximation of area under curve (/thread-4047.html) [WP 34s] Trapezoidal approximation of area under curve - Marcio - 06-01-2015 01:53 PM Hello all, Is it possible to have access to data keyed into the calc using the $$\sum +$$ for other procedures other than stat functions? If so, I am planning on creating a program that would take advantage of that so it would be possible to easily calculate the area under a curve defined by data, as shown below: $\int_{x_1}^{x_n} y(x) dx \approx \frac{1}{2} \sum_{k=1}^{n-1} (x_{k+1}-x_{k})(y_{k+1}+y_{k})$ Many thanks Marcio RE: [WP 34s] Trapezoidal approximation of area under curve - Marcus von Cube - 06-01-2015 03:54 PM (06-01-2015 01:53 PM)Marcio Wrote:  Is it possible to have access to data keyed into the calc using the $$\sum +$$ for other procedures other than stat functions? The SUMS catalog has all the accumulated data ready for access. All commands in this catalog are programmable. RE: [WP 34s] Trapezoidal approximation of area under curve - Dave Britten - 06-01-2015 05:36 PM (06-01-2015 03:54 PM)Marcus von Cube Wrote:   (06-01-2015 01:53 PM)Marcio Wrote:  Is it possible to have access to data keyed into the calc using the $$\sum +$$ for other procedures other than stat functions? The SUMS catalog has all the accumulated data ready for access. All commands in this catalog are programmable. The problem is that the trapezoidal approximation appears to require the individual data points, and not just the sums. You'll probably have to write a custom program that accumulates its own sums, either on the fly, or by using a block of registers to store x and y data points. RE: [WP 34s] Trapezoidal approximation of area under curve - Thomas Klemm - 06-01-2015 06:56 PM (06-01-2015 01:53 PM)Marcio Wrote:  If so, I am planning on creating a program that would take advantage of that so it would be possible to easily calculate the area under a curve defined by data, as shown below: $\int_{x_1}^{x_n} y(x) dx \approx \frac{1}{2} \sum_{k=1}^{n-1} (x_{k+1}-x_{k})(y_{k+1}+y_{k})$ You could use something like: Code: 001 LBL'TPZ' 002 CLΣ 003 LBL 00 004 STOP 005 R↑ 006 RCL+ Z 007 R↑ 008 RCL- Z 009 Σ+ 010 R↓ 011 R↓ 012 GTO 00 013 END Usage: $$y_1$$ ENTER $$x_1$$ XEQ'TPZ' $$y_2$$ ENTER $$x_2$$ R/S (...) $$y_n$$ ENTER $$x_n$$ R/S Σxy -2 ÷ Not a sophisticated program but I hope you get the idea. Cheers Thomas RE: [WP 34s] Trapezoidal approximation of area under curve - Marcio - 06-02-2015 02:46 AM Works like a charm. Thank you RE: [WP 34s] Trapezoidal approximation of area under curve - Dieter - 06-02-2015 09:23 PM (06-01-2015 06:56 PM)Thomas Klemm Wrote:  Not a sophisticated program but I hope you get the idea. A bit of sophistication can be added by using the 34s' complex functions: Code: 01 LBL"TRP" 02 CLΣ 03 CLSTK 04 STOP 05 LBL 01 06 STOP 07 cplx x<> Z 08 +/- 09 cplx RCL+ Z 10 Σ+ 11 cplx DROP 12 GTO 01 XEQ"TRP" y1 ENTER x1 R/S y2 ENTER x2 R/S ... Σxy 2 ÷ Dieter RE: [WP 34s] Trapezoidal approximation of area under curve - Marcio - 06-16-2015 10:47 AM Hello again, Does anyone know how to do $$RCL+ Z$$ on the 35s? From what I saw in the manual, one has to use the EQN inside the program in order to recall the $$z$$-register, which is somewhat dangerous. Thanks. RE: [WP 34s] Trapezoidal approximation of area under curve - Dieter - 06-16-2015 11:31 AM (06-16-2015 10:47 AM)Marcio Wrote:  Does anyone know how to do $$RCL+ Z$$ on the 35s? Yes. You can't. Recall-arithmetics is not available for the stack registers. Of course you can do a RCL+Z with variable Z, but that's a completely different story. Dieter RE: [WP 34s] Trapezoidal approximation of area under curve - Thomas Klemm - 06-16-2015 12:38 PM (06-16-2015 10:47 AM)Marcio Wrote:  Does anyone know how to do $$RCL+ Z$$ on the 35s? You can use the following program: Code: T001 LBL T T002 CLΣ T003 STOP T004 REGY+REGT T005 REGY-REGT T006 Σ+ T007 R↓ T008 R↓ T009 GTO T003 Usage: $$y_1$$ ENTER $$x_1$$ XEQ T $$y_2$$ ENTER $$x_2$$ R/S (...) $$y_n$$ ENTER $$x_n$$ R/S Σxy 2 ÷ Cheers Thomas RE: [WP 34s] Trapezoidal approximation of area under curve - Marcio - 06-16-2015 12:57 PM Thank you Thomas. I myself created a program with more than 2 times as many lines as yours, which is not only simpler but also much more elegant. Very much appreciated. Marcio