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==joystick angles==
==Joystick Angles==
[[File:Angle grid of max speeds v2.png|thumb|i made dis]]
[[File:Angle grid of max speeds v2.png|thumb|i made dis]]
[https://cdn.discordapp.com/attachments/267091914027696129/353046718612373516/a_sm64_grid_of_joystick_wip.png this too]
[https://cdn.discordapp.com/attachments/267091914027696129/353046718612373516/a_sm64_grid_of_joystick_wip.png this too]
==Glitchy Wall Kicks [failure to analyze]==
There are 2 types of GWKs, quarter frame GWKs and bonk GWKs. We didn't know this at first. Bonk GWKs are more complicated. The GWK I studied happened to be a bonk GWK. Shenanigans ensued, followed by more confusion. Progress stalled until SM64 Decomp was worked on.


==glitchy wall kicks [failure to analyze]==
[https://cdn.discordapp.com/attachments/267091914027696129/379474391957897226/unknown.png my first 4koma.] (Studying angle changes of a bonk GWK every quarter of a frame, along with SilentSlayer. These angle changes reflect off of 1 or both of the 2 walls.)
[https://cdn.discordapp.com/attachments/267091914027696129/379474391957897226/unknown.png my first 4koma.]


https://cdn.discordapp.com/attachments/267091914027696129/379482773507014656/unknown.png
https://cdn.discordapp.com/attachments/267091914027696129/379482773507014656/unknown.png
 
==Walking==
==walking==
http://prntscr.com/eyjv0l
http://prntscr.com/eyjv0l  


http://prntscr.com/eyjwbx
http://prntscr.com/eyjwbx
Line 19: Line 18:


http://prntscr.com/eyjyfn
http://prntscr.com/eyjyfn
 
==SM64 1 Key study after-the-fact==
==sm64 1 key==
[https://cdn.discordapp.com/attachments/267091914027696129/351261400691113994/unknown.png This VCutM platform moves mario down just as mario flies into a PU. Since this isn't an OJ, this immediately upwarps mario into the surface of OoB water which conserves mario's speed AND voids him out back to the water of outside the castle WITHOUT killing him and putting him on land. Neat as fuck.]
[https://cdn.discordapp.com/attachments/267091914027696129/351261400691113994/unknown.png This VCutM platform moves mario down just as mario flies into a PU. Since this isn't an OJ, this immediately upwarps mario into the surface of OoB water which conserves mario's speed AND voids him out back to the water of outside the castle WITHOUT killing him and putting him on land. Neat as fuck.]


[https://cdn.discordapp.com/attachments/267091914027696129/351489404558114816/unknown.png From the castle moat, mario reactivates his speed on land, and this is the PU route he goes to minimize his slow af turning time while still going down in Y position enough using slopes to touch the moat door back at the main map.]
[https://cdn.discordapp.com/attachments/267091914027696129/351489404558114816/unknown.png From the castle moat, mario reactivates his speed on land, and this is the PU route he goes to minimize his slow af turning time while still going down in Y position enough using slopes to touch the moat door back at the main map.]


2336 ( 3,-3) +3,-3
2336 ( 3,-3) +3,-3


2337 (14,-1) +11,+2
2337 (14,-1) +11,+2


2354 ( 6, 3) -8,+4
2354 ( 6, 3) -8,+4


2354 A (kill speed)
2354 A (kill speed)
Line 35: Line 33:
2356 A (kill speed)
2356 A (kill speed)


2365 ( 0, 0) -6,-3
2365 ( 0, 0) -6,-3


[http://prntscr.com/fwh99j this is an OJ. no other explanation needed.]
[http://prntscr.com/fwh99j this is an OJ. no other explanation needed.]
Line 45: Line 43:
[[Unit Squares]]
[[Unit Squares]]


Bismuth made an excellent commentated video explaining the entire 1 Key TAS.
==TTC Pendulum==
==TTC Pendulum==
The Pendulum Ladder Map chains all possible amplitudes a random-setting pendulum can swing at, which forms rails, branches, and indices within the branches for each swing. I made an unscripted commentated video about it, which leads into discussing Pell Equations and Brahmagupta's identity.


https://cdn.discordapp.com/attachments/309838966125756416/349389479967981579/unknown.png
https://cdn.discordapp.com/attachments/309838966125756416/349389479967981579/unknown.png
Line 54: Line 54:


[https://cdn.discordapp.com/attachments/309838966125756416/349429057743618049/unknown.png maaaan]
[https://cdn.discordapp.com/attachments/309838966125756416/349429057743618049/unknown.png maaaan]
==Cog Misa==
It's just a desmos graph. A specific of cog rotation and 4 frames of air straining form the least wall obstructions that allow Mario to reach a previously impossible goal. My one A press save. Still proud of it.
==TTM DR (Tall Tall Mountain Dive Recover)==
Proved TTM is impossible without a breakthrough. Tyler Kehne then finds breakthrough.
==Bowser in the Fire Sea 0x (Wii VC)==
The oscillating platform converges and reaches 0 after 2-3 months. Must find bad_boot's graph again to confirm.
The platform rises at a constant rate per oscillation cycle, except when it reaches a y=2^n boundary, when its vertical velocity changes based on the arcsin function.
==Jolly Roger Bay's Hyperspeed Punch==
Approximated the speed cap to be 160. If mario can keep punching on the pillar for an extended 1 more frame, spd can reach 170 or more. i forgot my approximated 2nd value.


==cog misa==
'''Crouch Sliding:'''


It's just a desmos graph.
''(1) the 10k glitch step''


==ttm dr==
The fwd component of your joystick tilt is multiplied by (speed+100)/200. (It's intended that the result is your fwd component is halved or stays the same cuz your max slide speed should be 100 unit/f. But ofc, you hyperspeed, and you can do the 10k glitch.)
We'll name this the "modified fwd".


Proved ttm DR is impossible without a breakthrough. Tyler Kehne then finds breakthrough.
''(2) turn mario''


==bitfs 0x (wii vc)==
based on the sideward component of stick tilt (which i define as "side"), rotate mario's velocity vector like this.


Converges and reaches 0 after 2 or 3 months. Must find bad_boot's graph again to confirm.
[ 1 0.05*side ] [velX]


==jrb hsp==
[ -0.05*side 1 ] [velZ]


Approximated the speed cap to be 160. If mario can keep punching on the pillar for an extended 1 more frame, spd can reach 170 or more. i forgot my approximated 2nd value.
And then you do v\*oldSpd/newSpd for both x and z component, cuz the game wants to not change your speed. You can think about the implications of this yourself. (the max and min angle it can change depending on your speed, and other questions)
 
''(3) update_sliding_angle''
 
Your velocity vector is added by a vector of magnitude 7\*normal.H, pointing downhill.
 
Then the resulting vector is multiplied by the lossFactor, which is smth dumb defined by the slope type, and increases depending on the modified fwd. So this step does depend on your speed.
 
Finally, mario's facing angle changes by 2.8125 (360/128) degrees or less towards your velocity vector's angle.
 
'''C^ Sliding:'''
 
Speed - 4 + 1.7\*normal.H (range: -4 ≤ accel < -2.3)
 
'''HyperSpeed Punching:'''
 
Speed - 1 + 1.7\*normal.H (range: -1 ≤ accel < 0.7)
 
'''Effects Overlap for 1f between the C^ and the Punch:'''


Speed - 5 + 3.4\*normal.H (range: -5 ≤ accel < -1.6)
==WF Tower platform rotation displacement==
==WF Tower platform rotation displacement==
The tumbling bridge block rotates in a stupid way, but i managed to decompose its euler angle frequencies into parts. Turned out fucking useless cuz we could just fucking yeet ourselves onto the cannon with SDC, idk, ask iwer.
and i'll try to summarize my block of text here soon.
==Arctan Strain==
All but proven at every math-skill level. Implement in Mupen LUA by sm64Expert.
==The Flight Equations==
Update Pitch:
target = -stickY*v/5 (max=±12.8v)


the tumbling bridge block rotates in a stupid way, but i managed to decompose its euler angle frequencies into parts. Turned out fucking useless cuz we could just fucking yeet ourselves or smth, idk, ask iwer.
pitchAccelTo0=64
pitchAccelTo∞=32


==arctan strain==
If crossed 0, cap |pitchVel1|<32 for 1f.
-------------------
Update Yaw:


All but proven at every math-skill level. Please implement it.
target = -stickX*v/4 (max=±32v)


==lamulana==
If target<0< <yawVel , |yawAccel|=64
https://clips.twitch.tv/FlirtyBrightKoalaVoteNay
if <0<target<yawVel , |yawAccel|=32
If <0< <yawVel<target, |yawAccel|=16


http://prntscr.com/edhko5
If crossed 0, cap |yawVel|<16 for 1f.
-------------------
a = -pitch/45° -.5[1-cos(yaw)] -1
cap v>=0
-------------------
Update Flying:


==misc==
if v>16, pitchVel2 = 6(v-32), Range: ( -96 ~ +∞ ] //positive if v>32
if 4<v≤16, pitchVel2 = 10(v-32), Range: (-280 ~ -160]
if v≤ 4, pitchVel2 = -1024
 
cap |pitch|≤59.99634°
-------------------
if nullWall collision, pitchVel3 = -512
==La-Mulana Speedrun studies==
https://clips.twitch.tv/FlirtyBrightKoalaVoteNay 1 pixel away from killing the boss in 1 cycle. I eventually solve this problem.
 
http://prntscr.com/edhko5 Boss battle analysis.
==Misc.==
[http://image.prntscr.com/image/6ad99e949a344941a5dbba4bf76d25d5.png RLB was a bust anyway]
[http://image.prntscr.com/image/6ad99e949a344941a5dbba4bf76d25d5.png RLB was a bust anyway]
 
==Deep Underground [NSFW Memes (Bottom of the Iceburg)]==
==nsfw meme==
[[File:Wtf.png|thumb|most definitely a good and sane opinion]]
[[File:Wtf.png|thumb|most definitely a good and sane opinion]]
https://cdn.discordapp.com/attachments/270777797138579457/344927706208796674/20170417_233514.jpg
https://cdn.discordapp.com/attachments/270777797138579457/344927706208796674/20170417_233514.jpg


https://pbs.twimg.com/media/CmU8RS8VMAAcWpW.jpg:large
https://pbs.twimg.com/media/CmU8RS8VMAAcWpW.jpg:large


[https://derpicdn.net/img/view/2012/7/10/38895__safe_brony_choose+your+champions_hat_the+burdened_trilby.jpg me back when i was at a halloween party. it was ok.]
[https://derpicdn.net/img/view/2012/7/10/38895__safe_brony_choose+your+champions_hat_the+burdened_trilby.jpg Me back when I was at a Halloween party. Despite everything, it went ok.]

Latest revision as of 00:50, 19 February 2022

Joystick Angles

i made dis

this too

Glitchy Wall Kicks [failure to analyze]

There are 2 types of GWKs, quarter frame GWKs and bonk GWKs. We didn't know this at first. Bonk GWKs are more complicated. The GWK I studied happened to be a bonk GWK. Shenanigans ensued, followed by more confusion. Progress stalled until SM64 Decomp was worked on.

my first 4koma. (Studying angle changes of a bonk GWK every quarter of a frame, along with SilentSlayer. These angle changes reflect off of 1 or both of the 2 walls.)

https://cdn.discordapp.com/attachments/267091914027696129/379482773507014656/unknown.png

Walking

http://prntscr.com/eyjv0l

http://prntscr.com/eyjwbx

http://prntscr.com/expurf

http://prntscr.com/exptm4

http://prntscr.com/eyjyfn

SM64 1 Key study after-the-fact

This VCutM platform moves mario down just as mario flies into a PU. Since this isn't an OJ, this immediately upwarps mario into the surface of OoB water which conserves mario's speed AND voids him out back to the water of outside the castle WITHOUT killing him and putting him on land. Neat as fuck.

From the castle moat, mario reactivates his speed on land, and this is the PU route he goes to minimize his slow af turning time while still going down in Y position enough using slopes to touch the moat door back at the main map.

2336 ( 3,-3) +3,-3

2337 (14,-1) +11,+2

2354 ( 6, 3) -8,+4

2354 A (kill speed)

2356 A (kill speed)

2365 ( 0, 0) -6,-3

this is an OJ. no other explanation needed.

https://cdn.discordapp.com/attachments/309838966125756416/372970560696614916/unknown.png

oh boi, unit squares

Unit Squares

Bismuth made an excellent commentated video explaining the entire 1 Key TAS.

TTC Pendulum

The Pendulum Ladder Map chains all possible amplitudes a random-setting pendulum can swing at, which forms rails, branches, and indices within the branches for each swing. I made an unscripted commentated video about it, which leads into discussing Pell Equations and Brahmagupta's identity.

https://cdn.discordapp.com/attachments/309838966125756416/349389479967981579/unknown.png

https://cdn.discordapp.com/attachments/309838966125756416/349389742409908225/unknown.png

holy shit

maaaan

Cog Misa

It's just a desmos graph. A specific of cog rotation and 4 frames of air straining form the least wall obstructions that allow Mario to reach a previously impossible goal. My one A press save. Still proud of it.

TTM DR (Tall Tall Mountain Dive Recover)

Proved TTM is impossible without a breakthrough. Tyler Kehne then finds breakthrough.

Bowser in the Fire Sea 0x (Wii VC)

The oscillating platform converges and reaches 0 after 2-3 months. Must find bad_boot's graph again to confirm.

The platform rises at a constant rate per oscillation cycle, except when it reaches a y=2^n boundary, when its vertical velocity changes based on the arcsin function.

Jolly Roger Bay's Hyperspeed Punch

Approximated the speed cap to be 160. If mario can keep punching on the pillar for an extended 1 more frame, spd can reach 170 or more. i forgot my approximated 2nd value.

Crouch Sliding:

(1) the 10k glitch step

The fwd component of your joystick tilt is multiplied by (speed+100)/200. (It's intended that the result is your fwd component is halved or stays the same cuz your max slide speed should be 100 unit/f. But ofc, you hyperspeed, and you can do the 10k glitch.) We'll name this the "modified fwd".

(2) turn mario

based on the sideward component of stick tilt (which i define as "side"), rotate mario's velocity vector like this.

[ 1 0.05*side ] [velX]

[ -0.05*side 1 ] [velZ]

And then you do v\*oldSpd/newSpd for both x and z component, cuz the game wants to not change your speed. You can think about the implications of this yourself. (the max and min angle it can change depending on your speed, and other questions)

(3) update_sliding_angle

Your velocity vector is added by a vector of magnitude 7\*normal.H, pointing downhill.

Then the resulting vector is multiplied by the lossFactor, which is smth dumb defined by the slope type, and increases depending on the modified fwd. So this step does depend on your speed.

Finally, mario's facing angle changes by 2.8125 (360/128) degrees or less towards your velocity vector's angle.

C^ Sliding:

Speed - 4 + 1.7\*normal.H (range: -4 ≤ accel < -2.3)

HyperSpeed Punching:

Speed - 1 + 1.7\*normal.H (range: -1 ≤ accel < 0.7)

Effects Overlap for 1f between the C^ and the Punch:

Speed - 5 + 3.4\*normal.H (range: -5 ≤ accel < -1.6)

WF Tower platform rotation displacement

The tumbling bridge block rotates in a stupid way, but i managed to decompose its euler angle frequencies into parts. Turned out fucking useless cuz we could just fucking yeet ourselves onto the cannon with SDC, idk, ask iwer.

and i'll try to summarize my block of text here soon.

Arctan Strain

All but proven at every math-skill level. Implement in Mupen LUA by sm64Expert.

The Flight Equations

Update Pitch:

target = -stickY*v/5 (max=±12.8v)

pitchAccelTo0=64 pitchAccelTo∞=32

If crossed 0, cap |pitchVel1|<32 for 1f.


Update Yaw:

target = -stickX*v/4 (max=±32v)

If target<0< <yawVel , |yawAccel|=64 if <0<target<yawVel , |yawAccel|=32 If <0< <yawVel<target, |yawAccel|=16

If crossed 0, cap |yawVel|<16 for 1f.


a = -pitch/45° -.5[1-cos(yaw)] -1 cap v>=0


Update Flying:

if v>16, pitchVel2 = 6(v-32), Range: ( -96 ~ +∞ ] //positive if v>32 if 4<v≤16, pitchVel2 = 10(v-32), Range: (-280 ~ -160] if v≤ 4, pitchVel2 = -1024

cap |pitch|≤59.99634°


if nullWall collision, pitchVel3 = -512

La-Mulana Speedrun studies

https://clips.twitch.tv/FlirtyBrightKoalaVoteNay 1 pixel away from killing the boss in 1 cycle. I eventually solve this problem.

http://prntscr.com/edhko5 Boss battle analysis.

Misc.

RLB was a bust anyway

Deep Underground [NSFW Memes (Bottom of the Iceburg)]

most definitely a good and sane opinion

https://cdn.discordapp.com/attachments/270777797138579457/344927706208796674/20170417_233514.jpg

https://pbs.twimg.com/media/CmU8RS8VMAAcWpW.jpg:large

Me back when I was at a Halloween party. Despite everything, it went ok.