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Caution | ||
======= | ||
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This TrueSkill project is opened under the BSD license but the | ||
TrueSkill(TM) brand is not. Microsoft permits only Xbox Live games or | ||
non-commercial projects to use TrueSkill(TM). If your project is | ||
commercial, you should find another rating system. | ||
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References | ||
========== | ||
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The core ideas used in this project were described in | ||
"TrueSkill (TM): A Bayesian Skill Rating System" available at | ||
http://research.microsoft.com/apps/pubs/default.aspx?id=67956 | ||
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Some concepts were based on Jeff Moser's code and documents, available | ||
at http://www.moserware.com/2010/03/computing-your-skill.html | ||
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License | ||
======= | ||
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All the Python code and the documentation in this TrueSkill project is | ||
Copyright (c) 2012-2015 by Heungsub Lee. All rights reserved. | ||
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All rights reserved. | ||
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Redistribution and use in source and binary forms, with or without | ||
modification, are permitted provided that the following conditions are | ||
met: | ||
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* Redistributions of source code must retain the above copyright | ||
notice, this list of conditions and the following disclaimer. | ||
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* Redistributions in binary form must reproduce the above | ||
copyright notice, this list of conditions and the following | ||
disclaimer in the documentation and/or other materials provided | ||
with the distribution. | ||
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* The names of the contributors may not be used to endorse or | ||
promote products derived from this software without specific | ||
prior written permission. | ||
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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# cod4_trueskill_plugin | ||
# CoD4X Trueskill plugin | ||
A game rating system made available to use as CoD4X plugin | ||
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## Copyright notice | ||
Trueskill algorithm code in this plugin is a port of [sublee/trueskill](https://github.com/sublee/trueskill) from python to C++. For more information consult [LICENSE_ORIGINAL](https://github.com/leiizko/cod4x_trueskill/blob/master/LICENSE_ORIGINAL). | ||
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All C++ code is released under AGPL-v3. | ||
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## Added functions | ||
``` | ||
* TS_Rate( <number of teams>, <team rankings> ) | ||
- <number of teams>: Integer, number of teams in game, each player counts as a team in FFA mode | ||
- <team rankings>: String, team placements separated by space. Lower number is better, same numbers is a tie. | ||
Needs to be in a specfic order, the string gets tokenized into an array. Array index+1 represents a team. Example: | ||
TS_Rate( 2, "0 1" ) - Number of teams is 2, Axis is 1, Allies is 2: Axis wins the round, Allies lose. | ||
TS_Rate( 5, "2 0 0 1 3" ) - FFA mode, 5 players. Player 1 is third, players 2 and 3 are tied at first place, | ||
player 4 is second and player 5 is fourth. | ||
Returns array of updated MEAN(mu) and VARIANCE(sigma) values in the same order as added by TS_AddPlayer. | ||
Arr[ i ][ 0 ] = MEAN(mu) | ||
Arr[ i ][ 1 ] = VARIANCE(sigma) | ||
Clears all players added by TS_AddPlayer function. | ||
* TS_Quality( <number of teams> ) | ||
- <number of teams>: Integer, number of teams in game, each player counts as a team in FFA mode | ||
Returns a float of game quality ( 0 - 1 ). Multiply by 100 to get percentage of draw chance | ||
Clears all players added by TS_AddPlayer function. | ||
* TS_AddPlayer( <player ID>, <player mu>, <player sigma>, <player team>, [<player weight>] ) | ||
- <player ID> - Integer, slot number | ||
- <player mu> - Float, mean rating of a player | ||
- <player sigma> - Float, variance rating of a player | ||
- <player team> - Integer, team of a player, start at 1, in FFA each player is a team, example: | ||
TDM mode, Allies = 1, Axis = 2 | ||
FFA mode, player 1 = 1, player 2 = 2, player 3 = 3, etc.. | ||
- [<player weight>], OPTIONAL, Float, weight for the player, defaults to 1. | ||
* TS_ClearAllPlayers() | ||
Clears all players added by TS_AddPlayer function. | ||
* TS_UpdateMu( <new mu> ) | ||
- <new mu> - Float, updates the default rating values. New players must start at this mean value, sigma is MU/3 | ||
* TS_UpdateDraw( <new_draw> ) | ||
- <new_draw> - Float, 0 - 1, updates the default draw chance (0.1) | ||
``` | ||
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#include <cmath> | ||
#ifndef M_PI | ||
static const double M_PI = 3.14159265358979323846; | ||
#endif | ||
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double erfcinv( double y ); | ||
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// Probability density function | ||
double pdf( double x, double mu, double sigma ) | ||
{ | ||
return ( 1 / sqrt( 2 * M_PI ) * std::abs( sigma ) * exp( -pow( ( x - mu ) / std::abs( sigma ), 2 ) / 2 ) ); | ||
} | ||
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// Cumulative distribution function | ||
double cdf( double x, double mu, double sigma ) | ||
{ | ||
return 0.5 * erfc( -( x - mu ) / ( sigma * sqrt( 2 ) ) ); | ||
} | ||
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// Inverse cdf | ||
double ppf( double x, double mu, double sigma ) | ||
{ | ||
return mu - sigma * sqrt( 2 ) * erfcinv( 2 * x ); | ||
} | ||
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// Inverse ercf ( error complementary function ) | ||
double erfcinv( double y ) | ||
{ | ||
if( y >= 2 ) | ||
return -100; | ||
else if( y <= 0 ) | ||
return 100; | ||
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bool zero_point = y < 1; | ||
if( !zero_point ) | ||
y = 2 - y; | ||
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double t = sqrt( -2 * log( y / 2 ) ); | ||
double x = -0.70711 * ( ( 2.30753 + t * 0.27061 ) / ( 1 + t * ( 0.99229 + t * 0.04481 ) ) - t ); | ||
for( int i = 0; i < 2; i++ ) | ||
{ | ||
double err = erfc( x ) - y; | ||
x += err / ( 1.12837916709551257 * exp( -( pow( x, 2 ) ) ) - x * err ); | ||
} | ||
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return zero_point ? x : -x; | ||
} |
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