**Understanding Haste, double, triple attack and kick as single elements**

**Understanding Haste**

Lets talk bout haste to start off addtional attacks given by haste (dual wield and Martial arts are included as haste)

__Haste:__

**f1: (1+x)*Wd*t**

x = Fractional amount of haste: 100%->1; 10%->.1

Wd= Weapon dealay

t = time

lets take an example to clairify:

100% haste (doubt possible but just for example)

Wd= 1/5sec

t= 50s

lets look at how many attacks would occour without haste..

Wd*t

1/5*50 = 10

So our normal count of attacks is 10 attacks every 50s

Examining with haste @90%

(1+x)(wd)(t)

x= .9

(1.9)(1/5)*50 = 1.9*10 = 19

With 90% haste you'd attack 19 times in the time it taks for you to nomaly swing 10 times. This is an accepted rule of thumb, and shows the sheer power of adding haste.

**Understanding Double Attack**

__Double attack% is exactly equivilant to haste% in terms of attacks over time.__

__Double attack:__

**f2: (1+y)(Wd)(t)**

y: fractional double attack %

Using simple example to clarify...

If you have 10% double attack that mean for every 10 swings on average(random acctivation) you will double attack once. Giving you 11 attacks in total.

Lets see if this works using the same weapon and time frame as above.

(1+.1)(1/5)(50) = 1.1*10= 11

**Understanding Triple Attack**

__Triple attack gives an EXTRA two attacks on a normal swing.__

Again with 10% Activation you can expect for every 10 attacks Triple attack will fire once(random activation). Giving you a total of 12 attacks.

__Triple Attack:__

**f3: (1+2z)(Wd)(t)**

Lets examine again at 10% using the same wd and time for arguments and simplicities sake.

(1+2*.1)*(1/5)*(50)

(1.2)(1/5)*50 = 1.2*10 = 12

**Understanding Kick**

__Kick is similar to Double attack in nature, as it is a random occurance and associated with the normal attack rounds. For our purposes here it can be considered the mnk version of double attack__

__Kick:__

**f4: (1+k)(Wd)(t)**

Kicks are based on H2H delay as I understand it, the activation rate k is the only differance between it and double attack. This gives Mnk/war a tremendous advantage as they have two opportunities for addional strikes. Very similar to thf/war however kick does not stack with double attack and this must be taken into account.

**Summary:**

__Haste:__

**f1: (1+x)*Wd*t**

__Double attack:__

**f2: (1+y)(Wd)(t)**

__Triple Attack:__

**f3: (1+2z)(Wd)(t)**

__Kick__

**f4: (1+k)(Wd)(t)**

**Combining the elements**

__Haste & Doulbe Attack__

**f5:(1+y)*(1+x)*Wd*t**

Not that "Stacking" Dual wield and haste is realy multiplying the attack coefficents... Lets simplify

Simplifies to:

(1 + x + y + xy)(Wd)(t).

This makes sence as it represents the base attacks + attacks generated by haste + Attacks generated by Double attack+ the DA effect on the additonal attacks generated by haste. Lets look at an example.

X=50% haste

Y=10% DA

Wd = 1/5

t= 500

(1+.5+.1+.05)(1/5)(500)=1.65*100= 165

The base number of attacks is 100

Haste provides another 50 to the base

Double attack provides 10 to the base

Double attack provides .1*50 = 5 additonal attacks geneated

=165

__Haste & Triple Attack__

**f6:(1+2z)*(1+x)*Wd*t**

Simplifies to:

(1+x+2z+2xz)*(Wd)(t)

This is exactly the same relationship as doble attack please fell free to do the proof your self.

__Haste & Triple Attack & Double Attack__

Since Triple and double attack DO NOT STACK the cross terms of the muliple drop out giving:

**f7:(1+x+2z+2xz+y+yx)*Wd*t**

__Haste & Kick__

**f8:(1+k)*(1+x)*Wd*t**

Simplifies to:

(1+x+k+kx)*Wd*t

Keep in mind that Mnk martial arts traits must be included into the the haste term (x) to get the correct result.

__Haste & Kick & Double Attack__

**f9:(1+x+k+kx+y+yx)*Wd*t**

This term is obtained by multiplying the coefficients and dropping the cross terms between kick and double attack since they do not stack (similar to triple attack).

**CONCLUSION:**

The above equations show the relationship between haste, double attack, triple attack, and kick. Please use the relationships I've outlined to help guide your sub choices, gear selection, use of merit points, and haste priority.

Adding haste to Nin, /nin (post 50), and MNK is a given due to their already high natural haste, and (post 50) should have double attack.

However WAR's Double attack is equivalent to haste and thf's triple attack is similar. Please give haste to all the War, /war(post 50), and Thf's out there. Doing this will significantly increase your PT's performance.

Please remember when using the functions to do performance calculations that the natural haste of the job in question (nin and mnk for example) must be separated out into the haste term. These JT are not true haste but share the same result from the perspective of Attack/time. It should be noted that it’s possible to solve for x, y, z, and k to determine the effects of spells, songs, equipment that doesn’t have a documented value (or an exact value).

*Edited, Sun Feb 27 01:17:54 2005 by tarekthedestroyer*