Template:Metrics/Capture return/doc

Multiplier	Adjustment	Rate
x1	1	100%
x2	0.66666666666667	150%
x3	0.54545454545455	183%
x4	0.48	208%
x5	0.43795620437956	228%
x6	0.40816326530612	245%
x7	0.38567493112948	259%
x8	0.36793692509855	272%
x9	0.35348576237902	283%
x10	0.34141715214741	293%
x11	0.33113927679755	302%
x12	0.3222468932005	310%
x13	0.31445218251769	318%
x14	0.30754446618812	325%
x15	0.30136557845783	332%
x16	0.29579419172694	338%
x17	0.29073549347409	344%
x18	0.28611418520599	350%
x19	0.2818696118207	355%
x20	0.2779522965244	360%
x21	0.27432142650145	365%
x22	0.27094299608389	369%
x23	0.26778841368733	373%
x24	0.26483344171861	378%
x25	0.26205737940994	382%
x26	0.25944242548188	385%
x27	0.25697317570452	389%
x28	0.25463622288863	393%
x29	0.25241983552654	396%
x30	0.25031369744854	399%
x31	0.24830869526721	403%
x32	0.24639674358231	406%

The values are computed using the equation sum(1/i for i=1 to n), where n is the number of capturing players, a harmonic number. This equation is derived from the source file trigger_area_capture.cpp that is available as part of the Source SDK. Values generated from [1] using the input Table[1/HarmonicNumber[n], {n, 32}]

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Previous experimental results

These decay rates were determined by creating a map with a 100 second capture point, then using Puppet Bots to capture said point. I am unable to derive a simple equation that explains these values. These times were generated using a SourceMod script as follows:

#include <sourcemod>

public Plugin:myinfo =
{
	name = "Capture Timing",
	author = "Org",
	description = "Console out debug info",
	version = "1.0.0.2",
	url = "example.org"
};

public OnPluginStart()
{
	HookEvent("controlpoint_starttouch", Event_StartCapture)
	HookEvent("teamplay_point_captured", Event_EndCapture)
}

public Action:Event_StartCapture(Handle:event, const String:name[], bool:dontBroadcast)
{
	new Float:time = GetEngineTime()
	PrintToServer("Control Point Entered : %f", time)
	return Plugin_Continue
}

public Action:Event_EndCapture(Handle:event, const String:name[], bool:dontBroadcast)
{
	new Float:time = GetEngineTime()
	PrintToServer("Control Point Captured: %f", time)
	return Plugin_Continue
}