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What is this HP-41 program doing?



#5

LBL A
RCL Z ST+ T * 4 *
RCL Y CHS STO Z X^2 X<>Y - SQRT
STO T X<>Y + LASTX R^ -
RCL Z ST/ Z /
END

Just a little exercise for the hot summer days ...


#6

It is computing the real roots of a quadratic equation,
where the coefficients have been entered into the X,Y,Z
stack registers initially.


#7

Bravo! I used it in the school, some 17 years ago. In fact, I have used the following program which can handle complex solutions as well:

LBL A
CF 00 RCL Z ST+ T * 4 *
RCL Y CHS STO Z X^2 X<>Y -
X<0? SF 00 FS? 00 CHS SQRT
FS? 00 GTO 01
STO T X<>Y + LASTX R^ -
LBL 01 RCL Z ST/ Z /
END

Real solutions: flag 0 cleared, X=x1, Y=x2
Complex solutions: flag 0 set, X=Im, Y=Re

The size of this program is 41 bytes (not counting LBL A and END). I am aware this is not optimal and would like to make a proposal: Who can write a shorter program? Only stack registers and flag 00 can be used. Alpha register and data registers cannot be used. Synthetic instructions are welcome but alpha register should not be disturbed.


#8

This is a slightly modified version:

LBL A
CF 00 RCL Z ST+ T * 4 *
RCL Y CHS STO Z X^2 X<>Y -
X<0? SF 00 ABS SQRT
FS? 00 GTO 01
STO T X<>Y + LASTX R^ -
LBL 01 RCL Z ST/ Z /
END

39 bytes.


#9

Reminds me the integration with Simpson rule I've once done only on the stack. Was useful when you had a table of points with uniform steps in X.

Ciao.....Mike

#10

Hi, HrastProgrammer;

Hey, have a look here. If you cannot open it, tell me and I'll send the text.

Cheers.


#11

Thanks Luiz ...


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