TrackError Custom Task - Revision history

Nairnj: /* Task Scheduling */

2023-12-11T20:21:55Z

Task Scheduling

← Older revision		Revision as of 20:21, 11 December 2023
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	*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The default is 2 (if never entered).		*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The default is 2 (if never entered).

	Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(~~Pvallue~~)</tt> are in the following table (and <math>N_s</math> is the number of calculation time steps).		Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(Pvalue)</tt> are in the following table (and <math>N_s</math> is the number of calculation time steps).

	{\| class="wikitable"		{\| class="wikitable"

Nairnj: /* Task Scheduling */

2023-12-10T17:46:48Z

Task Scheduling

← Older revision		Revision as of 17:46, 10 December 2023
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	\| 0 (RMS error) \|\| <math>\sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math> \|\| <math>{1\over N_s}\sum_{i=1}^{N_s} \sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math>		\| 0 (RMS error) \|\| <math>\sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math> \|\| <math>{1\over N_s}\sum_{i=1}^{N_s} \sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math>
	\|-		\|-
	\| P>0 (mean P-norm) \|\| <math>{1\over N_p}\left( \sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math> \|\| <math>{1\over ~~N_sN_p~~}~~\left(~~ \sum_{s=1}^{N_s}\sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math>		\| P>0 (mean P-norm) \|\| <math>{1\over N_p}\left( \sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math> \|\| <math>{1\over N_s}\sum_{s=1}^{N_s}\left({1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math>
	\|}		\|}

Nairnj: /* Task Scheduling */

2023-12-08T23:52:16Z

Task Scheduling

← Older revision		Revision as of 23:52, 8 December 2023
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	To determine the type of error metric that is calculated, enter <tt>(cumulative)</tt> and <tt>(Pvalue)</tt> options ''before'' entering the <tt>(xpexpr)</tt> expressions. Once these parameters are set, they apply to all subsequent <tt>(xpexpr)</tt> expressions unless changed to new values with new <tt>Parameter</tt> commands. Their functions are		To determine the type of error metric that is calculated, enter <tt>(cumulative)</tt> and <tt>(Pvalue)</tt> options ''before'' entering the <tt>(xpexpr)</tt> expressions. Once these parameters are set, they apply to all subsequent <tt>(xpexpr)</tt> expressions unless changed to new values with new <tt>Parameter</tt> commands. Their functions are

	*<tt>(cumulative)</tt> - set to 0 or 1. If 0, the error metric is found for each time step. If 1, the error metric averaged over all time steps with calculations. The default is 0 (if never entered).		*<tt>(cumulative)</tt> - set to 0 or 1. If 0, the error metric is found for each time step. If 1, the error metric is averaged over all time steps with calculations. The default is 0 (if never entered).
	*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The ~~defaults~~ is 2 (if never entered).		*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The default is 2 (if never entered).

	Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(Pvallue)</tt> are in the following table (and <math>N_s</math> is the number of calculation time steps).		Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(Pvallue)</tt> are in the following table (and <math>N_s</math> is the number of calculation time steps).

Nairnj: /* Simulation Error Metrics */

2023-01-14T16:30:55Z

Simulation Error Metrics

← Older revision		Revision as of 16:30, 14 January 2023
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	<math>{\rm RMS} = \sqrt{{1\over N_p} \sum_{p=1}^{N_p} \|x_p\|^2}</math>		<math>{\rm RMS} = \sqrt{{1\over N_p} \sum_{p=1}^{N_p} \|x_p\|^2}</math>

	This task can archive mean P-norm values and RMS distances for any entered function for <math>\|x_p\|</math>. The ~~archive~~ values can be for each time step or cumulatively averaged over all time step calculations.		This task can archive mean P-norm values and RMS distances for any entered function for <math>\|x_p\|</math>. The archived values can be for each time step or cumulatively averaged over all time step calculations.

	== Task Scheduling ==		== Task Scheduling ==

Nairnj: /* Simulation Error Metrics */

2023-01-14T16:29:50Z

Simulation Error Metrics

← Older revision		Revision as of 16:29, 14 January 2023
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	<math>\|\|x\|\|_P = \left( \sum_{p=1}^{N_p} \|x_p\|^P\right)^{1/P}</math>		<math>\|\|x\|\|_P = \left( \sum_{p=1}^{N_p} \|x_p\|^P\right)^{1/P}</math>

	The same distance can also ~~refine~~ a root-mean-squared distance defined as:		The same distance can also define a root-mean-squared distance defined as:

Nairnj: /* Simulation Error Metrics */

2023-01-14T16:29:33Z

Simulation Error Metrics

← Older revision		Revision as of 16:29, 14 January 2023
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	<math>\|x_p\| = \sqrt{\bigl(\vec V_p-\vec V({\rm theory})\bigr)\cdot\bigl(\vec V_p-\vec V({\rm theory})\bigr)}</math>		<math>\|x_p\| = \sqrt{\bigl(\vec V_p-\vec V({\rm theory})\bigr)\cdot\bigl(\vec V_p-\vec V({\rm theory})\bigr)}</math>

	The P-norm for a given distance definition and for <math>N_p</math> is defined as:		The P-norm for a given distance definition and for <math>N_p</math> particles is defined as:

Nairnj: /* Notes */

2019-09-02T15:46:56Z

Notes

← Older revision		Revision as of 15:46, 2 September 2019
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	== Notes ==		== Notes ==

	# Note the <tt>(Pvalue)=1</tt> is ordinary mean value of the <tt>(xpexpr)</tt> expression. This setting can be used to extend [[MPM Global Archiving Options\|global archiving options]] to include arbitrary functions of particle properties ~~and~~ the average ~~the means~~ (by using <tt>(cumulative)=1</tt>.		# Note the <tt>(Pvalue)=1</tt> is ordinary mean value of the <tt>(xpexpr)</tt> expression. This setting can be used to extend [[MPM Global Archiving Options\|global archiving options]] to include arbitrary functions of particle properties or the average of that property over all time steps (by using <tt>(cumulative)=1</tt>.

Nairnj: /* Task Scheduling */

2019-09-02T15:45:37Z

Task Scheduling

← Older revision		Revision as of 15:45, 2 September 2019
Line 70:		Line 70:
	*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The defaults is 2 (if never entered).		*<tt>(Pvalue)</tt> - determines the error metric that is calculated. The defaults is 2 (if never entered).

	Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(Pvallue)</tt> are in the following table (and <math>N_s</math> is the number of ~~calculations~~ steps).		Equations for the calculated error metrics for each combination of <tt>(cumulative)</tt> and <tt>(Pvallue)</tt> are in the following table (and <math>N_s</math> is the number of calculation time steps).

	{\| class="wikitable"		{\| class="wikitable"

Nairnj: /* Task Scheduling */

2019-09-02T15:44:49Z

Task Scheduling

← Older revision		Revision as of 15:44, 2 September 2019
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	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	! P !! ~~Cumulative~~=0 !! ~~Cumulative~~=1		! (Pvalue) !! (cumulative)=0 !! (cumulative)=1
	\|-		\|-
	\| 0 (RMS error) \|\| <math>\sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math> \|\| <math>{1\over N_s}\sum_{i=1}^{N_s} \sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math>		\| 0 (RMS error) \|\| <math>\sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math> \|\| <math>{1\over N_s}\sum_{i=1}^{N_s} \sqrt{{1\over N_p} \sum_{p=1}^{N_p} ({\rm xpexpr})^2}</math>

Nairnj: /* Task Scheduling */

2019-09-02T15:43:31Z

Task Scheduling

← Older revision		Revision as of 15:43, 2 September 2019
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	\| P>0 (mean P-norm) \|\| <math>{1\over N_p}\left( \sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math> \|\| <math>{1\over N_sN_p}\left( \sum_{s=1}^{N_s}\sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math>		\| P>0 (mean P-norm) \|\| <math>{1\over N_p}\left( \sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math> \|\| <math>{1\over N_sN_p}\left( \sum_{s=1}^{N_s}\sum_{p=1}^{N_p} ({\rm xpexpr})^P\right)^{1/P}</math>
	\|}		\|}


	=== TrackError Output ===		=== TrackError Output ===