Movement Scaler - Revision history

Elly: /* Calculating the Heroes Movement Rates */

2012-03-29T14:53:41Z

‎Calculating the Heroes Movement Rates

Elly: /* What is Movement Scaler? */

2012-03-29T14:49:50Z

‎What is Movement Scaler?

Elly at 23:06, 27 March 2012

2012-03-27T23:06:20Z

Elly: Created page with "==What is Movement Scaler?== Movement Scalar is the base stat used in Diablo III which is used to judged your walking rate amongst other things. ==Calculating the Heroes Movem..."

2012-03-26T16:02:54Z

Created page with "==What is Movement Scaler?== Movement Scalar is the base stat used in Diablo III which is used to judged your walking rate amongst other things. ==Calculating the Heroes Movem..."

New page

==What is Movement Scaler?==

Movement Scalar is the base stat used in Diablo III which is used to judged your walking rate amongst other things.

==Calculating the Heroes Movement Rates==

The forumulae used in Diablo III are as follows:

* MovementScalar (Fixed per Hero class)
* WalkingRate (Fixed per Hero class)
* StrafingRate (Fixed per Hero class)
* SprintingRate (Fixed per Hero class)
* RunningRate (Fixed per Hero class)
* MovementBonusTotal (Starts at 0)
* MovementScalarReductionPercent
* MovementScalarReductionResistance
* MovementScalarUncappedBonus

First step is to calculate the Movement Scalar Total which is done by the following formula:

MovementScalarTotal = MovementScalarCappedTotal + MovementScalarUncappedBonus

This basicly means you can have a capped value which cannot go above a certain amount and a bonus which is totally uncapped. Lets look at the capped total:

MovementScalarCappedTotal = Min(1.25, MovementScalarSubtotal)

Basicly this means you take whatever is lowest, 1.25 or the MovementScalarSubTotal.

Working out the MovementScalarSubtotal:

MovementScalarSubtotal = Max(0.1, MovementScalar) * (1 + MovementBonusTotal) * (1 - MovementScalarReductionPercent * (1 - Min(1, MovementScalarReductionResistance)))

Breaking that down:

Calc1 = 1 - Min(1, MovementScalarReductionResistance)

This makes sure the worst you can get here is a 0, best 1. So even if you set the ReductionResistance to 9999 it'll end up being 0. Although in theory you can have a negative value but Blizzard will no doubt prevent that somewhere else in their code if it matters.

Calc2 = (1 - MovementScalarReductionPercent * Calc1 )

A percent will be a value between 0.00 and 1.00 so all this does is take whatever the resistance is and take the percentage (as the name gives away). So if your ReductionResistance was 50% and your ReductionPercentage was 50% you'll end up with 25%.

Calc3 = (1 + MovementBonusTotal)

This just gives you a minimum of 1.

Calc4 = Max(0.1, MovementScalar)

Now this is the one we've been waiting for, just how does the MovementScalar change the speed of our character? 0.1 is the default, so anything above that is a perk!

* Default: 0.1 * 1 * 1 * 1 = 0.1; This would be full speed.
* Full Resistance: 0.1 * 1 * 0 * 0 = 0; You would be unable to move.
* Some buff: 0.1 * 1.25 * 1 * 1 = 1.125; 25% increase (easy to show with 10 * 125% = 12.5);

Now back to the original formula:

MovementScalarCappedTotal = Min(1.25, MovementScalarSubtotal)

So we now know the best bonus is 1.25 which is the same as 250% in game bonus to run speed! No point going above that then guys and girls, 250% is your limit!

MovementScalarTotal = MovementScalarCappedTotal + MovementScalarUncappedBonus

This is then used for the following Formulae:

* WalkingRateTotal = WalkingRate * MovementScalarTotal
* StrafingRateTotal = StrafingRate * MovementScalarTotal
* SprintingRateTotal = SprintingRate * MovementScalarTotal
* RunningRateTotal = RunningRate * MovementScalarTotal

So as you can see the MovementScalar is just a percentage speed increase!

@@ Line 36: / Line 36: @@
   Calc1 = 1 - Min(1, MovementScalarReductionResistance)
-This makes sure the worst you can get here is a 0, best 1. So even if you set the ReductionResistance to 9999 it'll end up being 0. Although in theory you can have a negative value but Blizzard will no doubt prevent that somewhere else in their code if it matters.
+Min means take the lowest value, so the best Slow Resistance you can have is 1 (100%). This will be combined with the Reduction Percent Below:
   Calc2 = (1 - MovementScalarReductionPercent * Calc1 )
-A percent will be a value between 0.00 and 1.00 so all this does is take whatever the resistance is and take the percentage (as the name gives away). So if your ReductionResistance was 50% and your ReductionPercentage was 50% you'll end up with 25%.
+OK, so ReductionPercent (lets say a slow of 0.60 [caltrops]) multiplied by the Resistance will be your total slowed amount, again reversed. (example: 1-0.6 = 0.4 with no resistance).
   Calc3 = (1 + MovementBonusTotal)
-This just gives you a minimum of 1.
+MovementBonusTotal is unknown at present as the Scalar is used by affixes (items). Maybe skills will use this instead of the Scalar? So for now, we'll leave this at 1.
   Calc4 = Max(0.1, MovementScalar)
@@ Line 50: / Line 50: @@
 Now this is the one we've been waiting for, just how does the MovementScalar change the speed of our character? 0.1 is the default, so anything above that is a perk!
-* Default: 0.1 * 1 * 1 * 1 = 0.1; This would be full speed.
+*(your bonus movement) * 1 * ( 1 - [slow %] * ( 1 - [Slow Resistance]))
-* Full Resistance: 0.1 * 1 * 0 * 0 = 0; You would be unable to move.
+*Default: 0.1 * 1 * 1 = 0.1; This would be full base speed.
-* Some buff: 0.1 * 1.25 * 1 * 1 = 1.125; 25% increase (easy to show with 10 * 125% = 12.5);
+*Slowed by Caltrops with no Resistance: [0.1] * 1 * ( 1 - [0.6] * (1 - [0]) ) = 0.04; You're slow!
 Now back to the original formula:
@@ Line 58: / Line 61: @@
   MovementScalarCappedTotal = Min(1.25, MovementScalarSubtotal)
-So we now know the best bonus is 1.25 which is the same as 250% in game bonus to run speed! No point going above that then guys and girls, 250% is your limit!
+So we now know the best bonus is 1.25 which is the same as 1150% in game bonus to run speed! No point going above that then guys and girls, 1150% is your limit from this source! Of course there is the UncappedBonus, but at the moment we've not figured out where this is used...
   MovementScalarTotal = MovementScalarCappedTotal + MovementScalarUncappedBonus
@@ Line 69: / Line 72: @@
 * RunningRateTotal = RunningRate * MovementScalarTotal
-So as you can see the MovementScalar is just a percentage speed increase!
+So as you can see the MovementScalar is just as it says on the tin, a % movement speed increase with a cap of 1150% on the speed gains from affixes!

@@ Line 1: / Line 1: @@
 ==What is Movement Scaler?==
-Movement Scalar is the base stat used in Diablo III which is used to judged your walking rate amongst other things.
+Movement Scalar is the base stat used in Diablo III which is used to judged your walking rate amongst other things. This is the stat adjusted by the affixes you get on items. The formulae used in Diablo III are as follows:
 ==Calculating the Heroes Movement Rates==

@@ Line 23: / Line 23: @@
   MovementScalarTotal = MovementScalarCappedTotal + MovementScalarUncappedBonus
-This basicly means you can have a capped value which cannot go above a certain amount and a bonus which is totally uncapped. Lets look at the capped total:
+This basically means you can have a capped value which cannot go above a certain amount and a bonus which is totally uncapped. Lets look at the capped total:
   MovementScalarCappedTotal = Min(1.25, MovementScalarSubtotal)
-Basicly this means you take whatever is lowest, 1.25 or the MovementScalarSubTotal.
+Basically this means you take whatever is lowest, 1.25 or the MovementScalarSubTotal.
 Working out the MovementScalarSubtotal: