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

Trace: • LF15C - firmware for the DM15 • DM41L Info • DM15L Non-linear Curve Fit • DM41X Info • DM32 Info • Calculator Hardware • DokuWiki Tweaks • DM41X Curve Fitting • DM41X HP16C Module • DM15L Progs

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--- public:calculator:progs:dm15l_progs [14/02/26 15:12 GMT] – [Solve with an Integral] john
+++ public:calculator:progs:dm15l_progs [05/04/26 09:46 BST] (current) – [Integrate Tests] john
@@ Line 1375: / Line 1375: @@
 ==== Firmware details ====
-[[..:info:lf15c|]]
+[[..:3rd:lf15c|]]
@@ Line 1414: / Line 1414: @@
 %%
-  * [[..:bench2#The SAVAGE benchmark|Savage]] is prog ''A'' : <key>'f'</key><key>'A'</key>
+  * [[..:benchmarking:start#The SAVAGE benchmark|Savage]] is prog ''A'' : <key>'f'</key><key>'A'</key>
-  * [[..:bench2#N-Queens|8-Queens]] is prog ''88'' : <key>'f'</key> <key>LBL</key> <key>8</key><key>8</key>
+  * [[..:benchmarking:start#N-Queens|8-Queens]] is prog ''88'' : <key>'f'</key> <key>LBL</key> <key>8</key><key>8</key>
     * Both the above use ''runTime'' to measure execution time - returns result in y and time in x
-  * [[..:bench2#HP Museum Maths Benchmark|]] is prog ''E'' : <key>'f'</key><key>'E'</key>.
+  * [[..:benchmarking:start#HP Museum Maths Benchmark|]] is prog ''E'' : <key>'f'</key><key>'E'</key>.
     * Run for 60 seconds, press <key>'R/S'</key> and find result in reg 02 <key>RCL</key><key>0</key><key>2</key>
-  * [[..:bench2#HP Museum Trig Benchmark|]] is prog ''77'' :  <key>'f'</key><key>LBL</key> <key>7</key><key>7</key>.
+  * [[..:benchmarking:start#HP Museum Trig Benchmark|]] is prog ''77'' :  <key>'f'</key><key>LBL</key> <key>7</key><key>7</key>.
     * Run for 60 seconds, press <key>'R/S'</key> and find result in reg 02 <key>RCL</key><key>0</key><key>2</key>
@@ Line 1449: / Line 1449: @@
-  * [[..:bench2#The SAVAGE benchmark|Savage]] is prog is prog ''66'' : <key>'f'</key> <key>LBL</key> <key>6</key><key>6</key>
+  * [[..:benchmarking:start#The SAVAGE benchmark|Savage]] is prog is prog ''66'' : <key>'f'</key> <key>LBL</key> <key>6</key><key>6</key>
-  * [[..:bench2#N-Queens|8-Queens]] is prog ''88'' : <key>'f'</key> <key>LBL</key> <key>8</key><key>8</key>
+  * [[..:benchmarking:start#N-Queens|8-Queens]] is prog ''88'' : <key>'f'</key> <key>LBL</key> <key>8</key><key>8</key>
     * Both the above use ''runTime'' to measure execution time - returns result in y and time in x
-  * [[..:bench2#HP Museum Maths Benchmark|]] is prog is prog ''44'' : <key>'f'</key> <key>LBL</key> <key>4</key><key>4</key>
+  * [[..:benchmarking:start#HP Museum Maths Benchmark|]] is prog is prog ''44'' : <key>'f'</key> <key>LBL</key> <key>4</key><key>4</key>
     * Run for 60 seconds, press <key>'R/S'</key> and find result in reg 02 <key>RCL</key><key>0</key><key>2</key>
-  * [[..:bench2#HP Museum Trig Benchmark|]] is prog ''55'' :  <key>'f'</key><key>LBL</key> <key>5</key><key>5</key>.
+  * [[..:benchmarking:start#HP Museum Trig Benchmark|]] is prog ''55'' :  <key>'f'</key><key>LBL</key> <key>5</key><key>5</key>.
     * Run for 60 seconds, press <key>'R/S'</key> and find result in reg 02 <key>RCL</key><key>0</key><key>2</key>
@@ Line 1616: / Line 1616: @@
   * 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''
+==== Integrate Tests ====
+The 12 Integration examples from the PPC ROM handbook section ''IG''
+%%
+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
+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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