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

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public:calculator:progs:dm41x_progs [23/01/26 08:05 GMT] – [TI : calculate 65c22 Timer values for tone generation] johnpublic:calculator:progs:dm41x_progs [14/02/26 11:19 GMT] (current) – [Using Solve and Integrate together] john
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 ====== DM41X Progs ====== ====== DM41X Progs ======
  
-===== Useful Memo prog ===== 
- 
-{{ :public:calculator:progs:03319.pdf | MEMO }} 
- 
-By Gary Goodman from HP document collection. Dated 24/3/85 
  
 ===== DM41x RAW ===== ===== DM41x RAW =====
- 
- 
  
 |HP Maths Benchmark |{{ :public:calculator:progs:bm.raw |}}| |HP Maths Benchmark |{{ :public:calculator:progs:bm.raw |}}|
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 |8-Queens Benchmark |{{ :public:calculator:progs:nqu.raw |}}| |8-Queens Benchmark |{{ :public:calculator:progs:nqu.raw |}}|
 |Savage Benchmark |{{ :public:calculator:progs:svg.raw |}}| |Savage Benchmark |{{ :public:calculator:progs:svg.raw |}}|
-|Memo - as above. Uses ascii file name "SITES" instead of "MEMO" | {{ :public:calculator:progs:memo.raw |}}|+|Memo - as below - uses ascii file name "SITES" instead of "MEMO" | {{ :public:calculator:progs:memo.raw |}}|
 |TR - from HP41cx User guide vol. 2| {{ :public:calculator:progs:tr.raw |}} | |TR - from HP41cx User guide vol. 2| {{ :public:calculator:progs:tr.raw |}} |
 |Sigma - from HP41cx User guide vol.2| {{ :public:calculator:progs:sigma.raw |}}| |Sigma - from HP41cx User guide vol.2| {{ :public:calculator:progs:sigma.raw |}}|
 +
 +
 +===== Using Solve and Integrate together =====
 +
 +  * from HP343C handbook
 +  * DM41X version uses ''SOLVE'' and ''INTEG'' from [[..:guides:advantage_pac| Advantage Pac]]
 +
 +  - Create a ''MYSOLVE'' wrapper that handles putting the correct ''SOLVE'' program name in ''ALPHA'' etc
 +  - Create the program that is to be solved and which has as it's function an integral
 +  - Create the program that defines the integral
 +
 +=== MYSOLVE ===
 +
 +<code>
 +LBL ¬MYSOLVE
 +¬MOD                    // the label of the program to be solved is put in ALPHA
 +SOLVE                   // we XEQ SOLVE (the Advantage Pac solver)
 +RTN
 +</code>
 +
 +=== Solve : MOD ===
 +
 +The program to be solved
 +
 +<code>
 +LBL ¬MOD
 +¬BESSEL           // We put the name of the program with the integral in ALPHA
 +STO 00            // We store our current guess for X in R 00 to be accessible by the integral finction
 +0                 // put upper and lower limits for the integration in Y and X
 +PI
 +INTEG             // xeq INTEG from Advantage Pac
 +ABS               // our current guess, make it positive
 +X<=Y?             // Y has the Integration's estimate of accuracy - we use this to limit our search
 +ClX               // if our guess has returned a value from the integral that's less than the inherent accuracy then that's GOOD ENOUGH, we set X to zero and SOLVE completes     
 +X≠0?              // if we still don't have zero we put back the last guess and SOLVE continues
 +LastX
 +RTN
 +
 +</code>
 +
 +=== Integral : BESSEL ===
 +
 +<code>
 +LBL ¬BESSEL
 +SIN
 +RCL 00
 +*
 +COS
 +PI
 +/
 +RTN
 +
 +</code>
 +
 +
 +=== Running it ===
 +
 +  * ''MYSOLVE'' sets up the ''ALPHA'' register with the name of the prog to be solved, so nothing needed in ''ALPHA'' at this time
 +  * put initial guesses in ''X'' and ''Y''
 +    * <key>'1'</key> <key>ENTER</key> <key>'2'</key>
 +  * try ''FIX 4''
 +  * Run ''MYSOLVE'' - via XEQ or set up a ''CST'' menu item for it 
 +
 +After a few minutes of Goose-flying we get the answer ''2.4048''
 +
 +
 +
 +
 +
 +===== Useful Memo prog =====
 +
 +{{ :public:calculator:progs:03319.pdf | MEMO }}
 +
 +By Gary Goodman from HP document collection. Dated 24/3/85
  
  
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 Page last updated: ~~LASTMOD~~ Page last updated: ~~LASTMOD~~
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-{{tag>dm41x calculator}} 
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-{{tag>}}+{{tag>calculator dm41x}}
  
  

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