User:Etho/Physics Engine

• Worm Walking

x = x0 + vx0*t + w*t*(t+1)/2 y = y0 + vy0*t + g*t*(t+1)/2 vx = vx0 + w*t vy = vy0 + g*t

Where t = time in ticks, a.k.a. frames (50ths of a second) x = horizontal position (pixels) y = vertical position (pixels) x0 = initial horizontal position (pixels) y0 = initial vertical position (pixels) vx = horizontal speed (pixels per tick) vy = vertical speed (pixels per tick) vx0 = initial horizontal speed (pixels per tick) vy0 = initial vertical speed (pixels per tick) w = wind (pixels per tick per tick) g = gravity (pixels per tick per tick)

And g=0.24. For a worm of course, w=0.

ProvX = ((iPosX(X)) + (VeloX(X) / 1000) * Tick(X) + ((WindSpeed / 1000) * (Wind(X) / 100)) * Tick(X) * (Tick(X) + 1) / 2) ProvY = ((iPosY(X)) + (VeloY(X) / 1000) * Tick(X) + (Gravity / 1000) * Tick(X) * (Tick(X) + 1) / 2)

Add gravity to vertical speed. Add wind to horizontal speed. Add horizontal speed to provisional X coordinate. Add vertical speed to provisional Y coordinate. Check for collisions between last coordinates and provisional coordinates; if there's a collision, handle it. Otherwise, move to provisional coordinates. Start again for the next frame.

• FPS = 50/sec
• standard gravity = 0.24
• standard friction = 0.96
• low gravity friction = 0.99

friction multiplies a number every frame until the number becomes small enough

• max pixel climb walking = 14 pixels
• max pixel decline walking = 13 pixels
• max pixel climb sliding = 1 pixel
• color key = 0
• forward jump
• max speed = 32 pixels/frame

Screen Width = 6012 2046 - 1920 - 2046

Verticle Distance of a 90 degree bazooka = 1200 pixels (aprox); velocity = -24.12 Wormmask = SpriteX + 25, SpriteY + 21

Forward Jump = 45 - 16 = 29; velocity = sin(60) * 4.5 At 0/0. horizontal change = 70 pixels, = +/-2.25 Backwards Jump = 54 - 16 = 38; velocity = sin(80) * 4.5 At 0/0. horizontal change = 28 pixels, = +/-0.7814167995 Straight Jump = 55 - 16 = 39; velocity => -4.446... < 4.502... At 0/0. horizontal change = 0 pixels, = 0 Backflip Jump = 87 - 16 = 71; velocity => -5.9583... < 6.000 sin(85)*6? At 0/0, horizontal change = 21 pixels; = +/- 0.434

X = 0.42413 Y = -5.98799 it starts with 90-3.6 degrees (86.4 degrees) with magnitude 4.5 then multiplies X by 3/2 and Y by 4/3

Walking Frame Rate = 50 / 3 (3 cycles per second)

+0.50 no motion +0.50 +0.50 +0.50 +0.50 +1.50 +1.75 +1.50 +1.25 skip here and avoid the slower phase: +0.25 no motion +0.25 +0.25 +0.25 no motion no motion no motion repeat - but not quite; "no motion" frames shift and the period of true repetition is 50 frames travelling 27 pixels

The optimum skipwalk cycle is actually 4.545 per second, because it has a period of 11 frames = 11/50 second. Fall Damage = 158 pixels - 16 pixels = 142 pixels

worm rect = 16x9 0XXXXXXX0 0XXXXXXX0 0XXXXXXX0 0XXXXXXX0 XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX 0XXXXXXX0 0XXXXXXX0 0XXXXXXX0 00XXXXX00 00XXXXX00 00XXXXX00

sorry for the mess... I was just listing random thoughts (clean it up please)