The following warnings occurred:
Warning [2] Undefined array key 105900 - Line: 275 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 275 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined array key 105955 - Line: 275 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 275 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined array key 105965 - Line: 275 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 275 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined variable $thread - Line: 295 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 295 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Trying to access array offset on value of type null - Line: 295 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 295 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined variable $fid - Line: 295 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 295 errorHandler->error_callback
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined array key 105965 - Line: 331 - File: inc/plugins/threaded_mode.php PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php 331 errorHandler->error_callback
/inc/plugins/threaded_mode.php 332 ThreadedMode::buildtree
/inc/plugins/threaded_mode.php 332 ThreadedMode::buildtree
/inc/plugins/threaded_mode.php 304 ThreadedMode::buildtree
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined variable $theme - Line: 3 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 3 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Trying to access array offset on value of type null - Line: 3 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 3 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined variable $theme - Line: 3 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 3 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Trying to access array offset on value of type null - Line: 3 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 3 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Undefined variable $lang - Line: 5 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 5 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks
Warning [2] Attempt to read property "messages_in_thread" on null - Line: 5 - File: inc/plugins/threaded_mode.php(305) : eval()'d code PHP 8.1.2-1ubuntu2.14 (Linux)
File Line Function
/inc/class_error.php 153 errorHandler->error
/inc/plugins/threaded_mode.php(305) : eval()'d code 5 errorHandler->error_callback
/inc/plugins/threaded_mode.php 305 eval
/inc/plugins/threaded_mode.php 23 ThreadedMode::showthread_threaded
/inc/class_plugins.php 142 threaded_mode_showthread_threaded
/showthread.php 918 pluginSystem->run_hooks





Fast and Accurate Trigonometric Functions on the HP-17BII



#4

To all who might be interested, just available at the Articles Forum:

Fast and Accurate Trigonometric Functions on the HP-17BII

Accurate? Surely! Fast? Well, kind of. But I wanted to make up a trilogy :-)

Fast and Accurate Trigonometric Functions on the HP-12C Platinum

Fast and Accurate Trigonometric Functions on the HP-12C

Thanks Charles for first noticing the simpler equations were better.

Regards,


Gerson


#5

Hi, Gerson --

Thank you for posting your dedicated work in the Articles Forum. They are certainly worthy, and probably more appropriate there than in the Software Library, due to the applied-mathematics content.

I expect that the HP-17BII programs will work on the HP-17B, as well?

Regards,

-- KS


#6

Hello Karl,

I don't have an HP-17B but I think the equations should run just fine on it. I'd like to test the equations on the HP-17BII+ also.

The HP-200LX was a good developing tool, but when solving for the inverse functions using the full-range equations I noticed the HP-17BII behaved differently. That's why I had to append the apparently useless terms to the cosine and tangent equations in the what I called IF-LESS EQUATIONS sets (that was an experiment I decided to keep).

I have just included a note at the end about a even shorter minimax polynomial equation (see my reply to Charles, which ended up orphan). The minimax polynomial is accurate in the range -18 to 18 degrees, that is, +/- 90/5. It is then expanded to -90 to 90 degrees by means of

sin 5.x = sin x * (sin2x * (16 * sin2x - 20) + 5)

This doesn't improve the solving time but makes the equation shorter. Reducing the range even more would actually make the equation slower and longer. I think this is the right balance between size and speed.

Regards,

Gerson.

Edited: 14 Jan 2007, 2:38 a.m.


Possibly Related Threads…
Thread Author Replies Views Last Post
  Solver issue with HP 17BII - different from 19BII Jeff Kearns 13 4,472 11-28-2013, 02:36 AM
Last Post: Don Shepherd
  17BII & 17BII+ Discounted Payback Period Revisited Tom Neudorfl 8 2,808 11-25-2013, 10:28 AM
Last Post: Don Shepherd
  A fast Bernoulli Number method for the HP Prime Namir 16 5,364 11-22-2013, 04:46 PM
Last Post: Namir
  HP Prime - CAS functions in Spreadsheet App CR Haeger 6 2,398 11-11-2013, 12:37 AM
Last Post: Michael de Estrada
  [41CL] New Extra Functions version Monte Dalrymple 0 1,085 11-08-2013, 04:32 PM
Last Post: Monte Dalrymple
  HP Prime: in need of help with defining functions Alberto Candel 14 4,185 10-27-2013, 10:48 AM
Last Post: Alberto Candel
  Is the Prime a superset of the HP 17bII+ ? vrrr 3 1,571 10-16-2013, 12:03 PM
Last Post: Michael de Estrada
  HP Prime spreadsheet functions SanS 0 1,876 10-04-2013, 04:23 AM
Last Post: SanS
  Stats functions on the HP34S Nicholas van Stigt 5 1,952 09-24-2013, 02:45 AM
Last Post: Nick_S
  Trig Functions Howard Owen 11 3,411 09-16-2013, 02:53 PM
Last Post: Fred Lusk

Forum Jump: