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public:calculator:progs:dm15l_progs [17/02/26 19:18 GMT] – [Work Tools & Benchmarks] johnpublic:calculator:progs:dm15l_progs [05/04/26 09:46 BST] (current) – [Integrate Tests] john
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   * put initial guesses of <key>'1'</key> <key>ENTER</key> <key>'2'</key> and then <key>'f'</key> <key>SOLVE</key> <key>'A'</key>   * put initial guesses of <key>'1'</key> <key>ENTER</key> <key>'2'</key> and then <key>'f'</key> <key>SOLVE</key> <key>'A'</key>
   * first bessel zero at mod index ''2.4048''   * first bessel zero at mod index ''2.4048''
 +
 +==== Integrate Tests ====
 +
 +The 12 Integration examples from the PPC ROM handbook section ''IG''
 +
 +%%
 +43 12 84 24 26 37 14 24 30 37 39 4 86 43 11 28 16 14 84 24 26 37 4 39 14 24 30 37 26 34 22 30 40 16 40 86 43 10 84 24 26 37 4 86 43 9 30 20 24 16 86 43 8 88 15 86 43 7 35 25 25 103 39 37 4 14 4 37 14 11 84 35 25 25 39 14 40 86 43 6 24 27 37 14 39 4 86 43 5 4 14 26 38 40 14 88 20 38 86 43 4 88 86 43 3 103 39 11 86 43 2 4 86 43 1 27 14 84 26 37 40 86 0 0
 +%%
 +
 +''SCI04'' display mode
 +
 +12 programs. Set limits and then execute <key>'f'</key> <key>∫</key> ''prog number''
 +
 +For example for program 1 
 +
 +<key> 0 </key> <key>ENTER</key> <key> 1 </key>  <key>'f'</key> <key>∫</key> <key> 0 </key> <key> 1 </key> gives answer ''3.1416''
 +
 +
 +  - Limits  0 -> 1 answer 3.1416
 +  - Limits  0 -> 1 answer 6.6667 E-1
 +  - Limits  0 -> 1 answer 6.3662 E-1 (rads mode)
 +  - Limits  0 -> 1 answer -1.000
 +  - Limits  0 -> 1 answer 3.6490 E-2
 +  - Limits  0 -> 2 answer 3.1416
 +  - Limits  0 -> π answer 2.1102 E1
 +  - Limits  0 -> 1 answer 5.0000 E-1 (rads mode)
 +  - Limits  0 -> 1 answer 2.0000
 +  - Limits  0 -> 1 answer 7.8540 E-1
 +  - Limits -1 -> 1 answer 2.3857 E-2
 +  - Limits -1 -> 1 answer 2.2033
 +
 +Using ''FIX10'' still allows the integrations to complete almost instantly except for Program 8 which takes around 8 seconds!
 +
 +Dropping to ''FIX08'' and program 8 integration completes almost instantaneously too.
 +Strangely Program 8 has some odd behaviour regarding display precision.
 +
 +  * ''FIX04'' -> ''FIX07'' -> instantaneous answer 0.5000....
 +  * ''FIX08'' -> instantaneous answer 0.50000....
 +  * ''FIX09'' -> 8 seconds  answer 0.499964689
 +  * ''FIX10'' -> 8 seconds  answer 0.4999747623
 +  * ''FIX11'' -> 10 seconds answer 0.49999489949
 +  * ''FIX12'' -> 10 seconds answer 0.499999962001
 +  * ''FIX13'' -> instantaneous answer 0.5000......
 +  * ''FIX14'' -> instantaneous answer 0.500000......
 +  * ''FIX15'' -> instantaneous answer 0.5000000......
  
  

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