Try to learn something about everything, and everything about somethingThomas Huxley “Darwin's bulldog” (1824-1895)

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Hints & Tips

DM41X PPC ROM Solve & Integrate

Solve (SV)

Similar to other Solvers (e.g. the Advantage Pac Solve) but with some minor differences to be aware of.

  • Put the Global Label (name) of the program (in this example it's LBL AA) containing the expression to be solved in register 6
    • ALPHAAAALPHA
    • XEQALPHAASTOALPHA06
  • The program with the expression to be solved must be written as though unknown x is on the x-stack only
    • other solvers “fill the stack” with x
    • here you need to manipulate the stack to get x as needed. It's easiest is to just ENTER ENTER ENTER and then treat the stack the same as other solvers (i.e. as if it's filled with x and you use x<>y to pull a fresh copy of x as needed in the expression).
  • Put a “step size” in y and a “start value” in x (e.g. -3)
    • 0 ENTER -3
  • run SV

example

2x2 + 3x - 4 = 0

Prog “AA”

LBL AA
ENTER
ENTER
ENTER
x^2
2
*
x<>y
3
*
+
4
-
RTN

for the first root

  • 0 ENTER 1
  • XEQALPHA SV ALPHA

and the answer comes…..

0.850781059

for the second root

  • 0 ENTER -3
  • XEQALPHA SV ALPHA

and the answer comes…..

-2.350781060

Integrate (IG)

This is very similar to SV - the main difference is that the Global Label for the program containing the expression to be integrated is stored with ASTO in Register 10. I'm using AA as a general scratchpad Program label for use with Solve and Integrate…

  • ALPHAAAALPHA
  • XEQALPHAASTOALPHA10

For SV it's R06.

Otherwise carry out the same procedure for storing the expression.

Time taken for integration, and the accuracy obtained, is set by the display format - the more digits the longer the integration takes.

Set SCI 04 for most cases.

  • Set the name of the prog. in Reg 10
  • Edit the prog. for the expression to be integrated
  • Set the display format/accuracy to SCI 04
  • The limits of integration are set
    • lowerENTER upper
  • Then the IG routine is executed
    • XEQALPHAIGALPHA

John Pumford-Green 24/01/26 10:29 GMT

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