Difference between revisions of "Faster Run Walk"

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(Undo revision 23748 by SGerlach38 (talk))
(Corrected due to link in Bloodshrike's Websites With Good Info Thread on Battle.net forums)
 
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{{Item navbox}}
 
{{Item navbox}}
  
−
'''Faster Run/Walk''' speed, mostly called simply '''FRW''', is a property boosted by equipment (usually [[boot]]s) and also by charms. Heavier [[armor]] and [[shield]]s lowers running speed and may also increase stamina drain.  
+
'''Faster Run/Walk''' speed, mostly called simply '''FRW''', is a property boosted by equipment (usually [[boot]]s) and also by charms. Heavier [[armor]] and [[shield]]s lowers walk/run speed, while heavier [[Body Armor|body armor]] increases stamina drain.  
  
−
Faster Run/Walk items will make your character move faster both when Running and Walking. How fast your character actually moves is affected by several factors.
+
Faster Run/Walk items will make your character move faster when walking and running. How fast your character actually moves is affected by several factors.
  
  
 
==Background==
 
==Background==
−
All characters in {{iw|Diablo_II Diablo II}} move at the same speed in basic gear, but they differ as they gain bonuses from equipment and skills. Numerous skills increase run/walk speed.
+
All characters in {{iw|Diablo_II Diablo II}} move at the same speed in basic gear, but they differ as they gain bonuses from equipment and skills. Numerous skills increase walk/run speed.
  
−
Run/walk speed is always boosted by added FRW gear, and and each amount of increase is discernible, though perhaps not to the naked eye. (See [[breakpoints]] for various actions here.)
+
Walk/run speed is normally boosted by added FRW gear; each increase is discernible, though perhaps not to the naked eye. (See [[breakpoints]] for various actions here).
  
−
::Unlike attack speed or cast rate, the result of the formula is in YARDS, not FRAMES. All of the frame-based formulas have breakpoints because frames has to be a whole number (i.e. an animation can take 2 frames, or 3 frames, but it can't take 2.37 frames). There is no requirement for *YARDS* to be a whole number (i.e. you can run at 2.37 yards per second), so the formula results in no breakpoints. It's sort of like the [[Magic Find]] formula- both suffer from diminishing returns, but neither has any breakpoints. Every percentage of FR/W and Magic Find is an improvement over the percentage before. -- [http://forums.diii.net/showthread.php?t=536403 Source]
+
::Unlike attack speed or cast rate, the result of the formula is in YARDS, not FRAMES. All of the frame-based formulas have breakpoints because frames has to be a whole number (i.e. an animation can take 2 frames, or 3 frames, but it can't take 2.37 frames). There is no requirement for *YARDS* to be a whole number (i.e. you can run at 2.37 yards per second), so the formula results in no breakpoints. It's sort of like the [[Magic Find]] formula- both suffer from diminishing returns, but neither has any breakpoints. Every percentage of FR/W and Magic Find is an improvement over the percentage before. -- [http://diablo.incgamers.com/forums/showthread.php?536403-faster-run-walk-breakpoint&p=5262623&viewfull=1#post5262623 Source]
  
  
 
==Definition of Yards==
 
==Definition of Yards==
−
Movement speed in Diablo II is measured in yards per second (yards/s). A yard is 48 pixels in horizontal direction and 24 pixels in vertical direction.
+
Movement speed in Diablo II is measured in yards per second (yards/s). A yard is 32 pixels in horizontal direction and 16 pixels in vertical direction.
  
  
 
==Visible Screen Size in Yards==
 
==Visible Screen Size in Yards==
 
The screen size is 640x480 or 800x600 pixels. The lower panel takes 48 pixels, leaving 640x432 pixels in the smaller screen mode and 800x552 pixels in the larger one for the game play area. Thus, the visible screen has the following proportions in yards:
 
The screen size is 640x480 or 800x600 pixels. The lower panel takes 48 pixels, leaving 640x432 pixels in the smaller screen mode and 800x552 pixels in the larger one for the game play area. Thus, the visible screen has the following proportions in yards:
 +
  
 
{|
 
{|
Line 29: Line 30:
 
| 640 x 480
 
| 640 x 480
 
| 640 x 432
 
| 640 x 432
−
| 13.3 yards
+
| 20 yards
−
| 18 yards
+
| 27 yards
 
|-
 
|-
 
| 800 x 600
 
| 800 x 600
 
| 800 x 552
 
| 800 x 552
−
| 16.7 yards
+
| 25 yards
−
| 23 yards
+
| 34.5 yards
 
|}
 
|}
  
Line 41: Line 42:
 
==Basic Movement Speeds==
 
==Basic Movement Speeds==
 
The basic walking and running speeds are the same for all characters.  
 
The basic walking and running speeds are the same for all characters.  
 +
  
 
{|
 
{|
Line 48: Line 50:
 
|-
 
|-
 
| Walking
 
| Walking
−
| 4 yards/s
+
| 6 yards/s
 
| -
 
| -
 
|-
 
|-
 
| Running
 
| Running
−
| 6 yards/s
+
| 9 yards/s
−
| Walking speed +2 yards/s.
+
| Walking speed +3 yards/s.
 
|-
 
|-
 
| Charging
 
| Charging
−
| 9 yards/s
+
| 22.5 yards/s
 
| Paladin combat skill. Unaffected by item based Faster Run/Walk.
 
| Paladin combat skill. Unaffected by item based Faster Run/Walk.
 
|}
 
|}
 +
  
 
Monsters' base movement speeds vary.
 
Monsters' base movement speeds vary.
Line 64: Line 67:
  
 
===Minimum Movement Speed===
 
===Minimum Movement Speed===
−
The minimum walking and running speed is 1 yard/s. Regardless of how chilled or slowed you are, you cannot move slower than this. Note that running speed is calculated from an unmodified walking speed and, thus, the running speed may be lower than 3 yards/s but never below 1 yard/s.  
+
Minimum walk/run speed is 1.5 yard/s (1/4 walk speed). Regardless of how chilled or slowed you are, you cannot move slower than this. Note that running speed is calculated from an unmodified walking speed and, thus, the running speed may be lower than 3 yards/s but never below 1.5 yard/s.  
  
−
There is no lower limit to charge speed. Thus, with enough slow it is possible to charge backwards.  
+
Charge speed has a floor of 18 yards/s. However, if speed is modified while charging then it's effectively reduced to running speed, with a floor of 1.5 yards/s.
  
 
Movement speed is affected by items, skills, armor/shield weight, and slowing effects, such as chill and slow.  
 
Movement speed is affected by items, skills, armor/shield weight, and slowing effects, such as chill and slow.  
Line 73: Line 76:
 
===Faster Run/Walk: Items===
 
===Faster Run/Walk: Items===
 
Walking and running speed are modified by Faster Run/Walk (FRW) items, but charging speed is unaffected by them. Item based FRW is subject to diminishing returns. The effect of 0 % to 295 % FRW to run/walk speed is listed in the table below.
 
Walking and running speed are modified by Faster Run/Walk (FRW) items, but charging speed is unaffected by them. Item based FRW is subject to diminishing returns. The effect of 0 % to 295 % FRW to run/walk speed is listed in the table below.
 +
  
 
{|
 
{|
Line 87: Line 91:
 
| +0.00
 
| +0.00
 
! 100 %
 
! 100 %
−
| +2.40
+
| +3.60
 
! 200 %
 
! 200 %
−
| +3.40
+
| +5.10
 
|-
 
|-
 
! 5 %
 
! 5 %
−
| +0.16
+
| +0.24
 
! 105 %
 
! 105 %
−
| +2.44
+
| +3.66
 
! 205 %
 
! 205 %
−
| +3.44
+
| +5.16
 
|-
 
|-
 
! 10 %
 
! 10 %
−
| +0.36
+
| +0.54
 
! 110 %
 
! 110 %
−
| +2.52
+
| +3.78
 
! 210 %
 
! 210 %
−
| +3.48
+
| +5.22
 
|-
 
|-
 
! 15 %
 
! 15 %
−
| +0.52
+
| +0.78
 
! 115 %
 
! 115 %
−
| +2.60
+
| +3.90
 
! 215 %
 
! 215 %
−
| +3.52
+
| +5.28
 
|-
 
|-
 
! 20 %
 
! 20 %
−
| +0.68
+
| +1.02
 
! 120 %
 
! 120 %
−
| +2.64
+
| +3.96
 
! 220 %
 
! 220 %
−
| +3.56
+
| +5.34
 
|-
 
|-
 
! 25 %
 
! 25 %
−
| +0.84
+
| +1.36
 
! 125 %
 
! 125 %
−
| +2.72
+
| +4.08
 
! 225 %
 
! 225 %
−
| +3.60
+
| +5.40
 
|-
 
|-
 
! 30 %
 
! 30 %
−
| +1.00
+
| +1.50
 
! 130 %
 
! 130 %
−
| +2.76
+
| +4.14
 
! 230 %
 
! 230 %
−
| +3.60
+
| +5.40
 
|-
 
|-
 
! 35 %
 
! 35 %
−
| +1.12
+
| +1.68
 
! 135 %
 
! 135 %
−
| +2.84
+
| +4.26
 
! 235 %
 
! 235 %
−
| +3.64
+
| +5.46
 
|-
 
|-
 
! 40 %
 
! 40 %
−
| +1.24
+
| +1.86
 
! 140 %
 
! 140 %
−
| +2.88
+
| +4.32
 
! 240 %
 
! 240 %
−
| +3.68
+
| +5.52
 
|-
 
|-
 
! 45 %
 
! 45 %
−
| +1.36
+
| +2.04
 
! 145 %
 
! 145 %
−
| +2.92
+
| +4.38
 
! 245 %
 
! 245 %
−
| +3.72
+
| +5.58
 
|-
 
|-
 
! 50 %
 
! 50 %
−
| +1.48
+
| +2.22
 
! 150 %
 
! 150 %
−
| +3.00
+
| +4.50
 
! 250 %
 
! 250 %
−
| +3.72
+
| +5.58
 
|-
 
|-
 
! 55 %
 
! 55 %
−
| +1.60
+
| +2.40
 
! 155 %
 
! 155 %
−
| +3.04
+
| +4.56
 
! 255 %
 
! 255 %
−
| +3.76
+
| +5.64
 
|-
 
|-
 
! 60 %
 
! 60 %
−
| +1.68
+
| +2.52
 
! 160 %
 
! 160 %
−
| +3.08
+
| +4.62
 
! 260 %
 
! 260 %
−
| +3.80
+
| +5.70
 
|-
 
|-
 
! 65 %
 
! 65 %
−
| +1.80
+
| +2.70
 
! 165 %
 
! 165 %
−
| +3.12
+
| +4.68
 
! 265 %
 
! 265 %
−
| +3.80
+
| +5.70
 
|-
 
|-
 
! 70 %
 
! 70 %
−
| +1.88
+
| +2.82
 
! 170 %
 
! 170 %
−
| +3.16
+
| +4.74
 
! 270 %
 
! 270 %
−
| +3.84
+
| +5.76
 
|-
 
|-
 
! 75 %
 
! 75 %
−
| +2.00
+
| +3.00
 
! 175 %
 
! 175 %
−
| +3.20
+
| +4.80
 
! 275 %
 
! 275 %
−
| +3.88
+
| +5.82
 
|-
 
|-
 
! 80 %
 
! 80 %
−
| +2.08
+
| +3.12
 
! 180 %
 
! 180 %
−
| +3.24
+
| +4.86
 
! 280 %
 
! 280 %
−
| +3.88
+
| +5.82
 
|-
 
|-
 
! 85 %
 
! 85 %
−
| +2.16
+
| +3.24
 
! 185 %
 
! 185 %
−
| +3.28
+
| +4.92
 
! 285 %
 
! 285 %
−
| +3.92
+
| +5.88
 
|-
 
|-
 
! 90 %
 
! 90 %
−
| +2.24
+
| +3.36
 
! 190 %
 
! 190 %
−
| +3.32
+
| +4.98
 
! 290 %
 
! 290 %
−
| +3.92
+
| +5.88
 
|-
 
|-
 
! 95 %
 
! 95 %
−
| +2.32
+
| +3.48
 
! 195 %
 
! 195 %
−
| +3.36
+
| +5.04
 
! 295 %
 
! 295 %
−
| +3.96
+
| +5.94
 
|}
 
|}
  
Line 228: Line 232:
 
===FRW Diminshing Returns Chart===
 
===FRW Diminshing Returns Chart===
 
Visual representations of this property and its diminishing returns at higher levels. Chart by Virtuous.
 
Visual representations of this property and its diminishing returns at higher levels. Chart by Virtuous.
 +
  
 
[[Image:Frw1.jpg|thumb|600px|center|Faster Run/Walk diminishing returns.]]
 
[[Image:Frw1.jpg|thumb|600px|center|Faster Run/Walk diminishing returns.]]
Line 235: Line 240:
  
 
Skills, such as Vigor, increase movement speed. Their effect is not subject to diminishing returns. FRW from skills increases movement speed as follows:
 
Skills, such as Vigor, increase movement speed. Their effect is not subject to diminishing returns. FRW from skills increases movement speed as follows:
 +
  
 
{|
 
{|
Line 242: Line 248:
 
|-
 
|-
 
| 1 %
 
| 1 %
−
| +0.04 yards/s
+
| +0.06 yards/s
 
| +0.09 yards/s
 
| +0.09 yards/s
 
|-
 
|-
 
| 10 %
 
| 10 %
−
| +0.40 yards/s
+
| +0.60 yards/s
 
| +0.90 yards/s
 
| +0.90 yards/s
 
|-
 
|-
 
| 100 %
 
| 100 %
−
| +4.00 yards/s
+
| +6.00 yards/s
 
| +9.00 yards/s
 
| +9.00 yards/s
 
|}
 
|}
  
  
−
For example, level 7 Vigor gives 32 % FRW, which translates into +1.28 yards/s with run/walk and +2.88 yards/s with Charge. FRW from different skills stacks.
+
For example, level 7 Vigor gives 32 % FRW, which translates into +1.92 yards/s with run/walk and +2.88 yards/s with Charge. FRW from different skills stacks.
 +
 
  
 
===Speed Reduction from Armors and Shields===
 
===Speed Reduction from Armors and Shields===
  
 
Heavy and medium armors and shields reduce movement speed as follows:
 
Heavy and medium armors and shields reduce movement speed as follows:
 +
  
 
{|
 
{|
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|-
 
|-
 
| Medium armor
 
| Medium armor
−
| -0.20 yards/s
+
| -0.30 yards/s
 
| -0.45 yards/s
 
| -0.45 yards/s
 
|-
 
|-
 
| Medium shield
 
| Medium shield
−
| -0.20 yards/s
+
| -0.30 yards/s
 
| -0.45 yards/s
 
| -0.45 yards/s
 
|-
 
|-
 
| Heavy armor
 
| Heavy armor
−
| -0.40 yards/s
+
| -0.60 yards/s
 
| -0.90 yards/s
 
| -0.90 yards/s
 
|-
 
|-
 
| Heavy shield
 
| Heavy shield
−
| -0.40 yards/s
+
| -0.60 yards/s
 
| -0.90 yards/s
 
| -0.90 yards/s
 
|}
 
|}
  
  
−
Thus, the maximum run/walk speed reduction from the armor and the shield is 0.80 yards/s (both heavy). The maximum reduction to charging speed is 1.80 yards/s.
+
Thus, the maximum run/walk speed reduction from the armor and the shield is 1.20 yards/s (both heavy). The maximum reduction to charging speed is 1.80 yards/s.
 +
 
  
 
===Slowing Auras, Items & Chilling Attacks===
 
===Slowing Auras, Items & Chilling Attacks===
  
 
Anything that slows, such as Slows Target By X% items, [[Holy Freeze]], and [[chill]] from [[cold]] attacks, are treated as negative skill based FRW.  
 
Anything that slows, such as Slows Target By X% items, [[Holy Freeze]], and [[chill]] from [[cold]] attacks, are treated as negative skill based FRW.  
 +
  
 
{|
 
{|
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| Chill from a cold attack
 
| Chill from a cold attack
 
| -50 %
 
| -50 %
−
| -2.00 yards/s
+
| -3.00 yards/s
 
| -4.50 yards/s
 
| -4.50 yards/s
−
| -50% effect applies only to players. Monsters have their own values.
+
| -50% only applies to player, mercenary and pet; monster chill effectiveness varies.
 
|-
 
|-
−
| Slows Target By X% item
+
| Slows Target By X%
−
| -100 % on client <br /> (-X% on server)
+
| -X%
−
| -4.00 yards/s<br /> (X% x -0.04 yards/s)
+
| X% * -0.06 yards/s
−
| -9.00 yards/s<br /> (X% x -0.09 yards/s)
+
| X% * -0.09 yards/s
−
| This ability is bugged. See the notes below.
+
| Maximum 90%, or 50% for player, mercenary and boss monsters.
 
|-
 
|-
 
| Holy Freeze aura
 
| Holy Freeze aura
−
| - Slow %
+
| - X %
−
| Slow % x -0.04 yards/s
+
| X% * -0.06 yards/s
−
| Slow % x -0.09 yards/s
+
| X% * -0.09 yards/s
−
| -
+
| X is maximum (least negative) of percentage displayed or target chill effectiveness
 
|-
 
|-
 
| Decrepify curse
 
| Decrepify curse
 
| -50 %
 
| -50 %
−
| -2.00 yards/s
+
| -3.00 yards/s
 
| -4.50 yards/s
 
| -4.50 yards/s
 
| -
 
| -
 
|}
 
|}
−
 
−
'''Slow Target item'''. Regardless of X%, this ability functions as -100% on the Diablo 2 client. The ability functions normally as -X% FRW on the Diablo 2 server. If used, the ability causes severe desync, because the target is typically moving at different speeds on the client and the server. Slow from different items stacks (i.e. each slow item adds -100% FRW on the client side), and slowing effects of different type stack in general.
 
  
  
Line 331: Line 339:
 
{|
 
{|
 
! Monster
 
! Monster
−
! FRW
+
! Walk/run speed
−
! Remarks
 
 
|-
 
|-
−
| Normal Champion
+
| Champion and Possessed
 
| +20 %
 
| +20 %
−
| -
 
−
|-
 
−
| Ghostly Champion
 
−
| -50 %
 
−
| -
 
 
|-
 
|-
−
| Fanatic Champion
+
| Fanatic champion
−
| +150 %
+
| +100 %
−
| -
 
 
|-
 
|-
−
| Extra Fast Unique Boss
+
| Extra Fast Unique and its minions
−
| +10 % - +60 %
+
| +100%
−
| Randomly chosen. Transfers to minions.
 
 
|}
 
|}
  
Line 360: Line 360:
 
where
 
where
  
−
* BaseWalkSpeed is 4 yards/s for all characters
+
* BaseWalkSpeed is 6 yards/s for all characters
 
* Skill_FRW is skill based FRW minus slow effects
 
* Skill_FRW is skill based FRW minus slow effects
 
* Item_FRW is item based FRW
 
* Item_FRW is item based FRW
Line 366: Line 366:
 
* Armor_Speed is the sum of the speed reduction from armor and shield (a negative number). The reduction is -5 for medium armors/shields and -10 for heavy armor/shields.
 
* Armor_Speed is the sum of the speed reduction from armor and shield (a negative number). The reduction is -5 for medium armors/shields and -10 for heavy armor/shields.
  
−
Additionally, if EffectiveWalkSpeed < BaseWalkSpeed / 4, EffectiveWalkSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1 yard/s for EffectiveWalkSpeed.
+
Additionally, if EffectiveWalkSpeed < BaseWalkSpeed / 4, EffectiveWalkSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1.5 yard/s for EffectiveWalkSpeed.
 +
 
  
 
===Running Speed===
 
===Running Speed===
Line 372: Line 373:
 
<blockquote>EffectiveRunSpeed = BaseRunSpeed + BaseWalkSpeed * (Skill_FRW / 100 + [Item_FRW * 150 / (Item_FRW + 150)] / 100 + Armor_Speed / 100)</blockquote>
 
<blockquote>EffectiveRunSpeed = BaseRunSpeed + BaseWalkSpeed * (Skill_FRW / 100 + [Item_FRW * 150 / (Item_FRW + 150)] / 100 + Armor_Speed / 100)</blockquote>
  
−
where BaseRunSpeed is 6 yards/s for all characters and other terms as above. Substituting EffectiveWalkSpeed into this formula, we get:
+
where BaseRunSpeed is 9 yards/s for all characters and other terms as above. Substituting EffectiveWalkSpeed into this formula, we get:
  
 
<blockquote>EffectiveRunSpeed = EffectiveWalkSpeed + BaseRunSpeed - BaseWalkSpeed</blockquote>
 
<blockquote>EffectiveRunSpeed = EffectiveWalkSpeed + BaseRunSpeed - BaseWalkSpeed</blockquote>
Line 378: Line 379:
 
By entering the values of BaseRunSpeed and BaseWalkSpeed in the formula, we get:
 
By entering the values of BaseRunSpeed and BaseWalkSpeed in the formula, we get:
  
−
<blockquote>EffectiveRunSpeed = EffectiveWalkSpeed + 2 yards/s (where EffectiveWalkSpeed > 1)</blockquote>
+
<blockquote>EffectiveRunSpeed = EffectiveWalkSpeed + 3 yards/s (where EffectiveWalkSpeed > 1.5)</blockquote>
 +
 
 +
Additionally, if EffectiveRunSpeed < BaseWalkSpeed / 4, EffectiveRunSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1.5 yard/s for EffectiveRunSpeed.
  
−
Additionally, if EffectiveRunSpeed < BaseWalkSpeed / 4, EffectiveRunSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1 yard/s for EffectiveRunSpeed.
 
  
 
===Charging Speed===
 
===Charging Speed===
 +
<blockquote>ChargeSpeed = BaseRunSpeed * (1 + Skill_FRW / 100 + Armor_Speed / 100) + (BaseRunSpeed * 150%)</blockquote>
 +
 +
where the terms are as above. By substituting BaseRunSpeed, we get:
  
−
<blockquote>ChargeSpeed = BaseRunSpeed * (1 + Skill_FRW / 100 + Armor_Speed / 100) * 150%</blockquote>
+
<blockquote>ChargeSpeed = 13.5 yards/s + 9 * (1 + Skill_FRW / 100 + Armor_Speed / 100)</blockquote>
  
−
where the terms are as above. By substituting BaseRunSpeed and multiplying it by 150%, we get:
+
A floor of -50% applies to the sum of Skill_FRW and Armor_Speed, so minimum Charge speed is 18 (13.5 + 9*0.5) yards/s. However, if speed is modified while charging then the Charge bonus is lost and speed is calculated as follows:
  
−
<blockquote>ChargeSpeed = 9 yards/s * (1 + Skill_FRW / 100 + Armor_Speed / 100)</blockquote>
+
<blockquote>ChargeSpeed = max(9 + 6 * (1 + Skill_FRW / 100 + Armor_Speed / 100) , 1.5)</blockquote>
  
−
There is no lower limit to ChargeSpeed. It can be even negative.
 
  
  
 
==References==
 
==References==
−
* [http://forums.diii.net/showthread.php?t=536403 Yards/Frames Discussion]
+
* [http://diablo.incgamers.com/forums/showthread.php?536403-faster-run-walk-breakpoint faster run walk breakpoint] thread, particularly [http://diablo.incgamers.com/forums/showthread.php?536403-faster-run-walk-breakpoint&p=8522358&viewfull=1#post8522358 this post].
  
  

Latest revision as of 19:35, 12 April 2014

Diablo II Items [e]
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Guides and Stats
Calculations • Gambling • Item Generation • Modifiers • Runewords • Quest Items • Potions • Ethereal • Gems • Base Item Levels • Misc

Faster Run/Walk speed, mostly called simply FRW, is a property boosted by equipment (usually boots) and also by charms. Heavier armor and shields lowers walk/run speed, while heavier body armor increases stamina drain.

Faster Run/Walk items will make your character move faster when walking and running. How fast your character actually moves is affected by several factors.


Background[edit]

All characters in Diablo II move at the same speed in basic gear, but they differ as they gain bonuses from equipment and skills. Numerous skills increase walk/run speed.

Walk/run speed is normally boosted by added FRW gear; each increase is discernible, though perhaps not to the naked eye. (See breakpoints for various actions here).

Unlike attack speed or cast rate, the result of the formula is in YARDS, not FRAMES. All of the frame-based formulas have breakpoints because frames has to be a whole number (i.e. an animation can take 2 frames, or 3 frames, but it can't take 2.37 frames). There is no requirement for *YARDS* to be a whole number (i.e. you can run at 2.37 yards per second), so the formula results in no breakpoints. It's sort of like the Magic Find formula- both suffer from diminishing returns, but neither has any breakpoints. Every percentage of FR/W and Magic Find is an improvement over the percentage before. -- Source


Definition of Yards[edit]

Movement speed in Diablo II is measured in yards per second (yards/s). A yard is 32 pixels in horizontal direction and 16 pixels in vertical direction.


Visible Screen Size in Yards[edit]

The screen size is 640x480 or 800x600 pixels. The lower panel takes 48 pixels, leaving 640x432 pixels in the smaller screen mode and 800x552 pixels in the larger one for the game play area. Thus, the visible screen has the following proportions in yards:


Screen Size Visible Screen Width Height
640 x 480 640 x 432 20 yards 27 yards
800 x 600 800 x 552 25 yards 34.5 yards


Basic Movement Speeds[edit]

The basic walking and running speeds are the same for all characters.


Mode Basic Speed Remarks
Walking 6 yards/s -
Running 9 yards/s Walking speed +3 yards/s.
Charging 22.5 yards/s Paladin combat skill. Unaffected by item based Faster Run/Walk.


Monsters' base movement speeds vary.


Minimum Movement Speed[edit]

Minimum walk/run speed is 1.5 yard/s (1/4 walk speed). Regardless of how chilled or slowed you are, you cannot move slower than this. Note that running speed is calculated from an unmodified walking speed and, thus, the running speed may be lower than 3 yards/s but never below 1.5 yard/s.

Charge speed has a floor of 18 yards/s. However, if speed is modified while charging then it's effectively reduced to running speed, with a floor of 1.5 yards/s.

Movement speed is affected by items, skills, armor/shield weight, and slowing effects, such as chill and slow.


Faster Run/Walk: Items[edit]

Walking and running speed are modified by Faster Run/Walk (FRW) items, but charging speed is unaffected by them. Item based FRW is subject to diminishing returns. The effect of 0 % to 295 % FRW to run/walk speed is listed in the table below.


Effect on Run/Walk Speed in yards/s
FRW Speed FRW Speed FRW Speed
0 % +0.00 100 % +3.60 200 % +5.10
5 % +0.24 105 % +3.66 205 % +5.16
10 % +0.54 110 % +3.78 210 % +5.22
15 % +0.78 115 % +3.90 215 % +5.28
20 % +1.02 120 % +3.96 220 % +5.34
25 % +1.36 125 % +4.08 225 % +5.40
30 % +1.50 130 % +4.14 230 % +5.40
35 % +1.68 135 % +4.26 235 % +5.46
40 % +1.86 140 % +4.32 240 % +5.52
45 % +2.04 145 % +4.38 245 % +5.58
50 % +2.22 150 % +4.50 250 % +5.58
55 % +2.40 155 % +4.56 255 % +5.64
60 % +2.52 160 % +4.62 260 % +5.70
65 % +2.70 165 % +4.68 265 % +5.70
70 % +2.82 170 % +4.74 270 % +5.76
75 % +3.00 175 % +4.80 275 % +5.82
80 % +3.12 180 % +4.86 280 % +5.82
85 % +3.24 185 % +4.92 285 % +5.88
90 % +3.36 190 % +4.98 290 % +5.88
95 % +3.48 195 % +5.04 295 % +5.94


FRW Diminshing Returns Chart[edit]

Visual representations of this property and its diminishing returns at higher levels. Chart by Virtuous.


Faster Run/Walk diminishing returns.


Faster Run/Walk: Skills[edit]

Skills, such as Vigor, increase movement speed. Their effect is not subject to diminishing returns. FRW from skills increases movement speed as follows:


FRW% (Skills) Run/Walk Speed Charge Speed
1 % +0.06 yards/s +0.09 yards/s
10 % +0.60 yards/s +0.90 yards/s
100 % +6.00 yards/s +9.00 yards/s


For example, level 7 Vigor gives 32 % FRW, which translates into +1.92 yards/s with run/walk and +2.88 yards/s with Charge. FRW from different skills stacks.


Speed Reduction from Armors and Shields[edit]

Heavy and medium armors and shields reduce movement speed as follows:


Armor/Shield Run/Walk Speed Charge Speed
Medium armor -0.30 yards/s -0.45 yards/s
Medium shield -0.30 yards/s -0.45 yards/s
Heavy armor -0.60 yards/s -0.90 yards/s
Heavy shield -0.60 yards/s -0.90 yards/s


Thus, the maximum run/walk speed reduction from the armor and the shield is 1.20 yards/s (both heavy). The maximum reduction to charging speed is 1.80 yards/s.


Slowing Auras, Items & Chilling Attacks[edit]

Anything that slows, such as Slows Target By X% items, Holy Freeze, and chill from cold attacks, are treated as negative skill based FRW.


FRW Run/Walk Speed Charge Speed Remarks
Chill from a cold attack -50 % -3.00 yards/s -4.50 yards/s -50% only applies to player, mercenary and pet; monster chill effectiveness varies.
Slows Target By X% -X% X% * -0.06 yards/s X% * -0.09 yards/s Maximum 90%, or 50% for player, mercenary and boss monsters.
Holy Freeze aura - X % X% * -0.06 yards/s X% * -0.09 yards/s X is maximum (least negative) of percentage displayed or target chill effectiveness
Decrepify curse -50 % -3.00 yards/s -4.50 yards/s -


Monster Speed Bonuses[edit]

Monsters' speed bonuses are treated as skill based FRW (no diminishing returns). Note that monsters' base movement speeds vary, and thus the increase in yards/s is usually not the same as for characters.


Monster Walk/run speed
Champion and Possessed +20 %
Fanatic champion +100 %
Extra Fast Unique and its minions +100%


Movement Speed Formulas[edit]

Walking Speed[edit]

EffectiveWalkSpeed = BaseWalkSpeed * (1 + Skill_FRW / 100 + [Item_FRW * 150 / (Item_FRW + 150)] / 100 + Armor_Speed / 100)

where

  • BaseWalkSpeed is 6 yards/s for all characters
  • Skill_FRW is skill based FRW minus slow effects
  • Item_FRW is item based FRW
  • [] indicates rounding down.
  • Armor_Speed is the sum of the speed reduction from armor and shield (a negative number). The reduction is -5 for medium armors/shields and -10 for heavy armor/shields.

Additionally, if EffectiveWalkSpeed < BaseWalkSpeed / 4, EffectiveWalkSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1.5 yard/s for EffectiveWalkSpeed.


Running Speed[edit]

EffectiveRunSpeed = BaseRunSpeed + BaseWalkSpeed * (Skill_FRW / 100 + [Item_FRW * 150 / (Item_FRW + 150)] / 100 + Armor_Speed / 100)

where BaseRunSpeed is 9 yards/s for all characters and other terms as above. Substituting EffectiveWalkSpeed into this formula, we get:

EffectiveRunSpeed = EffectiveWalkSpeed + BaseRunSpeed - BaseWalkSpeed

By entering the values of BaseRunSpeed and BaseWalkSpeed in the formula, we get:

EffectiveRunSpeed = EffectiveWalkSpeed + 3 yards/s (where EffectiveWalkSpeed > 1.5)

Additionally, if EffectiveRunSpeed < BaseWalkSpeed / 4, EffectiveRunSpeed = BaseWalkSpeed / 4. Thus, there is a minimum cap of 1.5 yard/s for EffectiveRunSpeed.


Charging Speed[edit]

ChargeSpeed = BaseRunSpeed * (1 + Skill_FRW / 100 + Armor_Speed / 100) + (BaseRunSpeed * 150%)

where the terms are as above. By substituting BaseRunSpeed, we get:

ChargeSpeed = 13.5 yards/s + 9 * (1 + Skill_FRW / 100 + Armor_Speed / 100)

A floor of -50% applies to the sum of Skill_FRW and Armor_Speed, so minimum Charge speed is 18 (13.5 + 9*0.5) yards/s. However, if speed is modified while charging then the Charge bonus is lost and speed is calculated as follows:

ChargeSpeed = max(9 + 6 * (1 + Skill_FRW / 100 + Armor_Speed / 100) , 1.5)


References[edit]

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