/*============================================================================
 *    ## Plugin Info                                                          
 *----------------------------------------------------------------------------
 *    # Plugin Name                                                           
 *      DoubleX RMMV Action Times                                             
 *----------------------------------------------------------------------------
 *    # Terms Of Use                                                          
 *      You shall keep this plugin's Plugin Info part's contents intact       
 *      You shalln't claim that this plugin's written by anyone other than    
 *      DoubleX or his aliases                                                
 *      None of the above applies to DoubleX or his aliases                   
 *----------------------------------------------------------------------------
 *    # Prerequisites                                                         
 *      Nothing special                                                       
 *----------------------------------------------------------------------------
 *    # Links                                                                 
 *      This plugin:                                                          
 *      1. [url]http://pastebin.com/tX0C3AR2[/url]                                       
 *      Mentioned Patreon Supporters:
 *      [url]https://www.patreon.com/posts/71738797[/url]
 *----------------------------------------------------------------------------
 *    # Author                                                                
 *      DoubleX                                                               
 *----------------------------------------------------------------------------
 *    # Changelog                                                             
 *      v1.00c(GMT 1300 27-1-2016):                                           
 *      1. Fixed using 0 instead of 1 as the initial action times value       
 *      v1.00b(GMT 0900 11-11-2015):                                          
 *      1. Added descriptions that will be shown in the plugin manager        
 *      2. Fixed some syntax errors                                           
 *      v1.00a(GMT 1400 28-10-2015):                                          
 *      1. 1st version of this plugin finished                                
 *============================================================================*/
/*:
 * @plugindesc Changes the Action Times traits from being each of them
 *             calculated independently to be added together before calculating
 *             that sum at once
 * @author DoubleX
 * @help
 * Under the default RMMV setting, if p = p1 + p2 + p3 + ... + pn, where pi is
 * the value of an Action Times trait, then the probability distribution on the
 * final action times will be:
 * P(0 or smaller) = 0
 * P(1) = (1 - x1)(1 - x2)(1 - x3)...(1 - xn)
 * P(2) = x1(1 - x2)(1 - x3)(1 - x4)...(1 - xn) + x2(1 - x1)(1 - x3)(1 - x4)...
 * (1 - xn) + x3(1 - x1)(1 - x2)(1 - x4)...(1 - xn) + ... + xn(1 - x1)(1 - x2)
 * (1 - x3)...(1 - x(n - 1))
 * P(3) = x1x2(1 - x3)(1 - x4)(1 - x5)...(1 - xn) + x1x3(1 - x1)(1 - x4)(1 - x5)
 * ...(1 - xn) + x1x4(1 - x2)(1 - x3)(1 - x5)...(1 - xn) + ... + x(n - 1)xn
 * (1 - x1)(1 - x2)(1 - x3)...(1 - x(n-2))
 * ...
 * P(n + 1) = x1x2x3...xn
 * P(n + 2 or larger) = 0
 * With this plugin's used, if a = the integer part of a p and r = the decimal
 * part of p, then the probability distribution on the final action times will
 * be:
 * P(a - 1 or smaller) = 0
 * P(a) = 1 - r
 * P(a + 1) = r
 * P(a + 2 or larger) = 0
 */

"use strict";
var DoubleX_RMMV = DoubleX_RMMV || {};
DoubleX_RMMV["Act_Times"] = "v1.00c";

/*============================================================================
 *    ## Plugin Implementations                                               
 *       You need not edit this part as it's about how this plugin works      
 *----------------------------------------------------------------------------
 *    # Plugin Support Info:                                                  
 *      1. Prerequisites                                                      
 *         - Little Javascript coding proficiency to fully comprehend this    
 *           plugin                                                           
 *      2. Function documentation                                             
 *         - The 1st part describes why this function's rewritten/extended for
 *           rewritten/extended functions or what the function does for new   
 *           functions                                                        
 *         - The 2nd part describes what the arguments of the function are    
 *         - The 3rd part informs which version rewritten, extended or created
 *           this function                                                    
 *         - The 4th part informs whether the function's rewritten or new     
 *         - The 5th part informs whether the function's a real or potential  
 *           hotspot                                                          
 *         - The 6th part describes how this function works for new functions 
 *           only, and describes the parts added, removed or rewritten for    
 *           rewritten or extended functions only                             
 *         Example:                                                           
 * /*----------------------------------------------------------------------
 *  * Why rewrite/extended/What this function does                         
 *  *----------------------------------------------------------------------*/ 
/* // arguments: What these arguments are                                     
 * function function_name(arguments) // Version X+; Rewrite/New; Hotspot      
 *     // Added/Removed/Rewritten to do something/How this function works     
 *     function_name_code                                                     
 *     //                                                                     
 * end // function_name                                                       
 *----------------------------------------------------------------------------*/

Game_Battler.prototype.makeActionTimes = function() { // Rewrite
    // Rewritten to use the sum of all action times at once instead
    var actPercent = this.actionPlusSet().reduce(function(r, p) {
        return r + p;
    }, 1);
    var actTimes = Math.floor(actPercent);
    return Math.random() < actPercent - actTimes ? actTimes + 1 : actTimes;
    //
}; // Game_Battler.prototype.makeActionTimes

/*============================================================================*/