Hop-run (in place)

The run of the game cycles for the short-legged upright animal: quick bounding hops with a forward lean, the tail stretched out behind to balance, fitted to a speed setting so the planted foot never slides.

A cartoon person and a dog leaning forward mid-hop, bounding in place on the grass.

Use it in a cartoon Open it in the block editor The pack file (JSON)

What it is for

Hop-run (in place) is the run of the nine game cycles, written for the hop set: the short-legged upright animal breaking into a quick bounding run rather than a stride. It adds the forward lean, tucked knees and tail-out balance any run in this set calls for, scaled to a leg too short to run the long-legged way.

The principle it shows: exaggeration

The mechanism underneath is identical to Hop-walk (in place)'s own leg formula, with every number pushed further: a wider stride, a knee bent to 60 degrees at its highest rather than 50, a bigger forward lean and a much harder tail swing, 18 degrees instead of 14. Nothing new is added; the same hopping idea is simply exaggerated to read as a sprint instead of a trot.

The program, line by line

settings: speed = 1.5, h = 540, leg = 0.09, every = (clamp(0.48 - 0.08*speed, 0.3, 0.44)), stride = (clamp(34 + 10*speed, 40, 58)), give = 6, bend = 60, feet = 0.6
when it starts
  set left forearm 70, right forearm 70, head 7, torso -10, tail 14
  show the side view
  left leg follows (((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))
  right leg follows (((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))
  left shin follows ((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))))
  right shin follows ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))))
  left arm follows (-0.9*((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))
  right arm follows (-0.9*((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))
  sin wave on rot · every (every) s · amp 2
  left foot follows (feet*((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))) - ((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))))
  right foot follows (feet*((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))) - ((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))))
  left leg lift follows (step(0.5, mod(local/every + 0, 1))*max(0, h*leg/2*((cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1))))))*pi/180)) - (cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180)))))
  right leg lift follows (step(0.5, mod(local/every + 0.5, 1))*max(0, h*leg/2*((cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180)) - (cos((((1 - step(0.5, mod(local/every + 1, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 5)/40) + step(0.5, mod(local/every + 1, 1))*stride*(4*mod(local/every + 1, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 1, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 5)/40) + step(0.5, mod(local/every + 1, 1))*stride*(4*mod(local/every + 1, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 1, 1))) + bend*step(0.5, mod(local/every + 1, 1)))*sin(pi*(2*mod(local/every + 1, 1) - step(0.5, mod(local/every + 1, 1))))))*pi/180)))))
  dy follows (h*leg/2*min((2 - (1 - step(0.5, mod(local/every, 1)))*(cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1))))))*pi/180)) - step(0.5, mod(local/every, 1))*(cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180))), (2 - (1 - step(0.5, mod(local/every, 1)))*(cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))))*pi/180) - 0.55*sin(((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))))*pi/180)) - step(0.5, mod(local/every, 1))*(cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))))*pi/180) - 0.55*sin(((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))))*pi/180)))) - 0.005*h - 0.009*h*abs(sin(2*pi*mod(local/every, 1))) - 0.055*h*pow(cos(2*pi*mod(local/every, 1)), 2))
  sin wave on tail · every (every) s · amp 18 · phase 3.141592653589793
  sin wave on ears · every (every/2) s · amp 10 · phase 1.2

set left forearm 70, right forearm 70, head 7, torso -10, tail 14 — the running posture: the arms bent up, the body leaning forward 10 degrees, the head tipped and the tail already held out behind.
show the side view — the move is drawn in profile.
left leg follows (…), right leg follows (…) — each thigh swings through a wide bounding stride, the two legs offset by half the loop.
left shin follows (…), right shin follows (…) — each knee tucks up to 60 degrees at its highest as its leg swings through.
left arm follows (…), right arm follows (…) — both arms counter-swing their matching legs, at nine-tenths the angle, a hard pump.
sin wave on rot · every (every) s · amp 2 — the body rolls 2 degrees, once a bound.
left foot follows (…), right foot follows (…) — each stance foot turns six-tenths of the way toward flat.
left leg lift follows (…), right leg lift follows (…) — the swinging foot is lifted by the same geometry that keeps the stance foot down.
dy follows (…) — the body follows whichever leg is lower, with an extra dip worked in where the legs change over.
sin wave on tail · every (every) s · amp 18 · phase 3.14 — the tail swings hard, once a bound.
sin wave on ears · every (every/2) s · amp 10 · phase 1.2 — the ears flop twice a bound, harder than the walk's.

Written out in full, exactly as the engine prints them:

clamp(0.48 - 0.08*speed, 0.3, 0.44)

clamp(34 + 10*speed, 40, 58)

((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))

((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))

(give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1))))

(give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))

-0.9*((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))

-0.9*((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))

feet*((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))) - ((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))

feet*((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))) - ((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))

step(0.5, mod(local/every + 0, 1))*max(0, h*leg/2*((cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1))))))*pi/180)) - (cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180))))

step(0.5, mod(local/every + 0.5, 1))*max(0, h*leg/2*((cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180)) - (cos((((1 - step(0.5, mod(local/every + 1, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 5)/40) + step(0.5, mod(local/every + 1, 1))*stride*(4*mod(local/every + 1, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 1, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 1, 1)), 5)/40) + step(0.5, mod(local/every + 1, 1))*stride*(4*mod(local/every + 1, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 1, 1))) + bend*step(0.5, mod(local/every + 1, 1)))*sin(pi*(2*mod(local/every + 1, 1) - step(0.5, mod(local/every + 1, 1))))))*pi/180))))

h*leg/2*min((2 - (1 - step(0.5, mod(local/every, 1)))*(cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1))))))*pi/180)) - step(0.5, mod(local/every, 1))*(cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3))) - ((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1))))))*pi/180))), (2 - (1 - step(0.5, mod(local/every, 1)))*(cos((((1 - step(0.5, mod(local/every + 0, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0, 1)), 5)/40) + step(0.5, mod(local/every + 0, 1))*stride*(4*mod(local/every + 0, 1) - 3)))*pi/180) + cos(((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))))*pi/180) - 0.55*sin(((give*(1 - step(0.5, mod(local/every + 0, 1))) + bend*step(0.5, mod(local/every + 0, 1)))*sin(pi*(2*mod(local/every + 0, 1) - step(0.5, mod(local/every + 0, 1)))))*pi/180)) - step(0.5, mod(local/every, 1))*(cos((((1 - step(0.5, mod(local/every + 0.5, 1)))*57.29578*((sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1))) + pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 3)/6 + 3*pow(sin(stride*pi/180)*(1 - 4*mod(local/every + 0.5, 1)), 5)/40) + step(0.5, mod(local/every + 0.5, 1))*stride*(4*mod(local/every + 0.5, 1) - 3)))*pi/180) + cos(((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))))*pi/180) - 0.55*sin(((give*(1 - step(0.5, mod(local/every + 0.5, 1))) + bend*step(0.5, mod(local/every + 0.5, 1)))*sin(pi*(2*mod(local/every + 0.5, 1) - step(0.5, mod(local/every + 0.5, 1)))))*pi/180)))) - 0.005*h - 0.009*h*abs(sin(2*pi*mod(local/every, 1))) - 0.055*h*pow(cos(2*pi*mod(local/every, 1)), 2)

Try this

Raise the hop-running speed from 1.5 to 2 body heights a second, the top of this move's fitted range. The bounds quicken and widen together without the planted foot sliding.
In the program: params.speed 1.5 → 2
Turn the stance foot only a fifth of the way flat instead of six-tenths. The foot stays tipped up on its toe through each landing instead of planting flush, a lighter, springier bound.
In the program: params.feet 0.6 → 0.2

How it differs from Hop-walk (in place) and Run (in place)

Hop-walk (in place) is the same short-legged mechanism at a gentler, slower hop. Run (in place) is the long-legged version of a fast gait, a stride rather than a bound.

Works on

Worked out by the build: it plays the move in the engine on each body and checks what moves on screen. Nobody types this table.
Body	Moves?	What moves
2 legs (a person)	yes	whole body, turns, body, arms, legs
4 legs (a dog)	yes	whole body, body, head, front legs, back legs, tail, ears
no legs (the monster with no legs)	yes	whole body, turns, body, arms, tail, ears

c4c:beh:cycle_run_hop · version 1.0.0 · c4c-free · by Jabbertoon