MathBot functions

RealDistance(bx) = bx-0.6,
RealDistance(bx,bz) = sqrt((bx-0.6)^2 + (bz-0.6)^2),
Tier(t) = 12 - t,


Sprint(v) = 0.91 * 0.6 * v + 0.1274,
Sprint_land(v) = 0.91 * v + 0.1274,
Sprint_air(v) = 0.91 * v + 0.02548,
Sprint45(v) = 0.91 * 0.6 * v + 0.13,
Sprint45_land(v) = 0.91 * v + 0.13,
Sprint45_air(v) = 0.91 * v + 0.026,
Walk(v) = 0.91 * 0.6 * v + 0.098,
Walk_land(v) = 0.91 * v + 0.098,
Walk_air(v) = 0.91 * v + 0.0196,
Walk45(v) = 0.91 * 0.6 * v + 0.1,
Walk45_land(v) = 0.91 * v + 0.1,
Walk45_air(v) = 0.91 * v + 0.02,
Sneak(v) = 0.91 * 0.6 * v + 0.0294,
Sneak_land(v) = 0.91 * v + 0.0294,
Sneak_air(v) = 0.91 * v + 0.00588,
Sneak45(v) = 0.91 * 0.6 * v + 0.0294 * sqrt(2),
Sneak45_land(v) = 0.91 * v + 0.0294 * sqrt(2),
Sneak45_air(v) = 0.91 * v + 0.00588 * sqrt(2),


Vy_new(t) = 0.42 * 0.98^(t-1) + 4 * 0.98^t - 3.92,
Height_new(t) = 217 * (1-0.98^t) - 3.92 * t,
Vy(t) = if(t<6, Vy_new(t), 4 * 0.98^(t-5) - 3.92),
Height(t) = if(t<6, Height_new(t), Height_new(5) + 200 * (0.98 - 0.98^(t-4)) - 3.92 * (t-5)),
Duration(h) = if(h>Height(6), -1, DurationRec(h,Height(6),5,0)),
DurationRec(h,y,t,vy) = if(y>h, DurationRec(h,y+vy,t+1,vy * 0.98 - 0.0784), t),


V(v,t,J,M) = ifelse(t==0,v,t==1,0.91 * v,0.02 * M/0.09 + (0.6 * 0.91^t) * (v+J/0.91-0.02 * M/0.04914)),
V_del(v,t,J,M) = ifelse(t==0,v,t==1,0.546 * v,0.02 * M/0.09 + (0.6 * 0.91^t) * (0.6 * v +J/0.91-0.02 * M/0.04914)),
Sprintjump(v,t) = V(v,t,0.3274,1.274),
Sprintjump_del(v,t) = V_del(v,t,0.3274,1.274),
Sprintjump45(v,t) = V(v,t,0.3274,1.3),
Sprintjump45_del(v,t) = V_del(v,t,0.3274,1.3),
Walkjump(v,t) = V(v,t,0.098,0.98),
Walkjump_del(v,t) = V_del(v,t,0.098,0.98),
Walkjump45(v,t) = V(v,t,0.1,1.0),
Walkjump45_del(v,t) = V_del(v,t,0.1,1.0),
Strafejump(v,t) = V(v,t,0.2+0.13/sqrt(2),1.274),
Strafejump_del(v,t) = V_del(v,t,0.2+0.13/sqrt(2),1.274),
Strafejump45(v,t) = V(v,t,0.2+0.13/sqrt(2),1.3),
Strafejump45_del(v,t) = V_del(v,t,0.2+0.13/sqrt(2),1.3),


Vn(v,t,J,M,n) = v * (0.6 * 0.91^t)^n + (J * 0.6 * 0.91^(t-1)+0.02 * M * (1-0.91^(t-1))/0.09) * (1-(0.6 * 0.91^t)^n)/(1-0.6 * 0.91^t),
Vn_del(v,t,J,M,n) = 0.6 * v * (0.6 * 0.91^t)^n + (J * 0.6 * 0.91^(t-1)+0.02 * M * (1-0.91^(t-1))/0.09) * (1-(0.6 * 0.91^t)^n)/(1-0.6 * 0.91^t),
Chain_Sprintjump(v,t,n) = Vn(v,t,0.3274,1.274,n),
Chain_Sprintjump_del(v,t,n) = Vn_del(v,t,0.3274,1.274,n),
Chain_Sprintjump45(v,t,n) = Vn(v,t,0.3274,1.3,n),
Chain_Sprintjump45_del(v,t,n) = Vn_del(v,t,0.3274,1.3,n),
Chain_Walkjump(v,t,n) = Vn(v,t,0.098,0.98,n),
Chain_Walkjump_del(v,t,n) = Vn_del(v,t,0.098,0.98,n),
Chain_Walkjump45(v,t,n) = Vn(v,t,0.1,1.0,n),
Chain_Walkjump45_del(v,t,n) = Vn_del(v,t,0.1,1.0,n),


Dist(v,t,J,M) = 1.91 * v + J + 0.02 * M * (t-2)/0.09 + (0.49686/0.09) * (1-0.91^(t-2)) * (v + J/0.91 - 0.02 * M/0.04914),
Dist_del(v,t,J,M) = 1.546 * v + J + 0.02 * M * (t-2)/0.09 + (0.49686/0.09) * (1-0.91^(t-2)) * (0.6 * v + J/0.91 - 0.02 * M/0.04914),
Dist_Sprintjump(v,t) = Dist(v,t,0.3274,1.274),
Dist_Sprintjump_del(v,t) = Dist_del(v,t,0.3274,1.274),
Dist_Sprintjump45(v,t) = Dist(v,t,0.3274,1.3),
Dist_Sprintjump45_del(v,t) = Dist_del(v,t,0.3274,1.3),
Dist_Walkjump(v,t) = Dist(v,t,0.098,0.98),
Dist_Walkjump_del(v,t) = Dist_del(v,t,0.098,0.98),
Dist_Walkjump45(v,t) = Dist(v,t,0.1,1.0),
Dist_Walkjump45_del(v,t) = Dist_del(v,t,0.1,1.0),
Dist_Strafejump(v,t) = Dist(v,t,0.2+0.13/sqrt(2),1.274),
Dist_Strafejump_del(v,t) = Dist_del(v,t,0.2+0.13/sqrt(2),1.274),
Dist_Strafejump45(v,t) = Dist(v,t,0.2+0.13/sqrt(2),1.3),
Dist_Strafejump45_del(v,t) = Dist_del(v,t,0.2+0.13/sqrt(2),1.3)