FA-87885 / Inverse kinematics solvers / Member archive

Tool heading in degrees is used directly as radians · case 05

Headings other than zero produce wild wrist offsets and wrist joint angles.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

Input [l1,l2,l3,px,py,phi,elbow]: planar three-link arm, phi is the required tool heading in degrees. Subtract l3 along phi to get the wrist centre, solve the two-link sub-chain (elbow "up" gives q2>=0), set q3=phi-q1-q2 and wrap each joint to [-180,180) in degrees rounded to 4 places. A wrist centre outside |l1-l2|..l1+l2 returns "unreachable".

Why this case matters

Inverse kinematics code turns task-space goals into joint commands; a wrong branch, sign, limit or update order sends a real arm to the wrong pose.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
multi-turn heading	`[26.7398, 74.9387, 63.1122]`	`[32.3158, 101.7795, -89.0953]`	Failed

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