G92 sowie arctan2
This commit is contained in:
@@ -32,6 +32,94 @@ G92 X158.14 Y4.19 Z57.74 A91.85 B-45.46 C-69.92 E21.20
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---
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---
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## Geometrische Bedeutung der Winkel (Driver-Konvention)
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> **Wichtig für appRobotHoming:** Der Driver interpretiert die G92-Winkel in einer
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> **eigenen** Konvention. appRobotHoming muss die physisch gemessenen Gelenkwinkel
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> **in diese Konvention umrechnen**, bevor sie als G92 gesendet werden. Die folgenden
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> Tabellen sind aus der Kinematik (`Arm3SegmentLinearX`) **verifiziert** (jeweils eine
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> Achse isoliert variiert).
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### Koordinatenrahmen
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- **z = 0** ist die Achse zwischen Base und Arm1 (Schulter) — kein Offset darunter.
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- y = nach hinten (Hauptarbeitsrichtung), z = nach oben, x = Linearschiene.
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- Alle Armwinkel liegen in der y-z-Ebene (bei fixer x-Schiene).
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### Y = α (Oberarm) und Z = β (Unterarm) — ABSOLUT
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Beide werden **absolut gegen die Horizontale (+y)** gemessen, **nicht** relativ zueinander:
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| Wert | Oberarm (Y) bzw. Unterarm (Z) |
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|------|-------------------------------|
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| 0° | waagerecht nach +y |
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| 90° | senkrecht nach oben |
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⚠️ **Z ist der absolute Unterarmwinkel**, nicht der Ellbogen-Knick gegen den Oberarm.
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Misst appRobotHoming den Ellbogen relativ zum Oberarm: `Z = Oberarmwinkel + Ellbogen_relativ`.
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(Erst bei der Weiterleitung an FluidNC wird daraus `(β − α)` zurückgerechnet, siehe unten.)
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### B = Handgelenk-Knick
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Verifizierte Referenz (α=0, β=90, A=0, C=0):
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| B (G92) | physischer Knick Unterarm↔Hand |
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|---------|--------------------------------|
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| 0° | 180° (Hand voll zurückgeklappt) |
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| 90° | 90° (Hand ⊥ Unterarm) |
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| 180° | 0° (Hand **gerade**, in Verlängerung des Unterarms) |
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→ **Gerade Hand = B 180°.** Allgemein: `physischer Knick = 180° − B`, also `B = 180° − Knick`.
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Der Driver (IK) erzeugt B nur im Bereich [0°, 180°].
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### A = Unterarm-Dreher (Ellbogen-Roll)
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A dreht die **Richtung**, in die das Handgelenk knickt, um die Unterarm-Längsachse —
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die Knick-**Größe** bleibt dabei gleich. Verifiziert (α=0, β=90, B=90, C=0):
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A=0 → Fingerspitze auf der −y-Seite, A=90 → −x-Seite, A=180 → +y-Seite; Knick konstant 90°.
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### C = Hand-Dreher (Roll)
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C dreht die Hand um ihre eigene Achse. Verifizierte Referenz (α=0, β=90, A=0, B=90):
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| C (G92) | Hand-Roll ψ |
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|---------|-------------|
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| 0° | −90° |
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| 90° | 0° (neutral) |
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| 180° | +90° |
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→ In dieser Stellung gilt `ψ = C − 90°`. **Achtung:** der genaue Zusammenhang hängt von
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der Armstellung ab — exakt `ψ = C − acos(cos β · sin A)` (Winkel in rad). C selbst ist der
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physische Hand-Roll-Gelenkwinkel; nur der Bezug zum Welt-ψ verschiebt sich mit der Pose.
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### E = Greifer-Öffnung (mm) + Sehnen-Kopplung
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E ist die **Finger-Öffnung in mm** (ein Finger ab Null-Position) — keine Winkel-Umrechnung.
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Der Driver leitet daraus den Motorwert ab:
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```
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eMotor = E − b − c (b, c in RADIANT!)
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= E − B°/57.2958 − C°/57.2958
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```
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Grund: die Greifer-Sehne läuft durchs Handgelenk; Knick (B) und Roll (C) ziehen an der Sehne.
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appRobotHoming sendet die **reine Öffnung** als E; die Kopplung macht der Driver. Bewegt sich
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nur das Handgelenk, kompensiert eMotor, damit die Öffnung konstant bleibt.
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### Zusammenfassung: was appRobotHoming senden muss
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| Achse | Driver erwartet | Typische Falle |
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|-------|------------------------------------------------|-----------------------------------------|
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| X | xMotor in mm | — |
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| Y | Oberarm absolut (0=waagerecht, 90=hoch) | — |
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| Z | Unterarm **absolut** (nicht relativ zum Oberarm) | relativ statt absolut gesendet |
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| A | Unterarm-Dreher (Richtung des Knicks) | Nullpunkt/Vorzeichen |
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| B | **180° = gerade Hand**; Knick = 180° − B | gemessenen Knick direkt gesendet |
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| C | Hand-Roll, **90° = neutral** | Nullpunkt/Vorzeichen |
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| E | Öffnung in mm | Motorwert statt Öffnung gesendet |
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---
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## Interne Verarbeitung (`RobotController.js`)
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## Interne Verarbeitung (`RobotController.js`)
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Winkel-Achsen werden von Grad nach Radiant umgerechnet (D = 180/π):
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Winkel-Achsen werden von Grad nach Radiant umgerechnet (D = 180/π):
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@@ -11011,3 +11011,30 @@
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2026-06-25T16:42:31.758Z ::ffff:127.0.0.1: M114
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2026-06-25T16:42:31.758Z ::ffff:127.0.0.1: M114
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2026-06-25T16:42:31.991Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-25T16:42:31.991Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-25T16:42:32.218Z ::ffff:127.0.0.1: G1 X1
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2026-06-25T16:42:32.218Z ::ffff:127.0.0.1: G1 X1
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2026-06-26T03:31:10.436Z ::ffff:127.0.0.1: FList
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2026-06-26T03:31:10.459Z ::ffff:127.0.0.1: FPlus
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2026-06-26T03:31:10.466Z ::ffff:127.0.0.1: M114
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2026-06-26T03:31:10.484Z ::ffff:127.0.0.1: FLoad nichtda
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2026-06-26T03:31:10.501Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T03:31:10.502Z ::ffff:127.0.0.1: FShow
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2026-06-26T03:31:10.665Z ::ffff:127.0.0.1: M114
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2026-06-26T03:31:10.885Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T03:31:11.101Z ::ffff:127.0.0.1: G1 X1
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2026-06-26T04:00:22.876Z ::ffff:127.0.0.1: FList
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2026-06-26T04:00:22.897Z ::ffff:127.0.0.1: FPlus
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2026-06-26T04:00:22.931Z ::ffff:127.0.0.1: FLoad nichtda
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2026-06-26T04:00:22.969Z ::ffff:127.0.0.1: FShow
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2026-06-26T04:00:23.464Z ::ffff:127.0.0.1: M114
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2026-06-26T04:00:23.498Z ::ffff:127.0.0.1: M114
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2026-06-26T04:00:23.511Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T04:00:23.743Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T04:00:24.008Z ::ffff:127.0.0.1: G1 X1
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2026-06-26T04:36:17.245Z ::ffff:127.0.0.1: M114
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2026-06-26T04:36:17.277Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T04:36:17.299Z ::ffff:127.0.0.1: FList
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2026-06-26T04:36:17.330Z ::ffff:127.0.0.1: FPlus
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2026-06-26T04:36:17.366Z ::ffff:127.0.0.1: FLoad nichtda
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2026-06-26T04:36:17.400Z ::ffff:127.0.0.1: FShow
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2026-06-26T04:36:17.472Z ::ffff:127.0.0.1: M114
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2026-06-26T04:36:17.716Z ::ffff:127.0.0.1: G1 X1 Y2 Z3
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2026-06-26T04:36:17.971Z ::ffff:127.0.0.1: G1 X1
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@@ -14808,3 +14808,9 @@
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2026-06-25T16:42:29.198Z ::ffff:127.0.0.1 : Ping
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2026-06-25T16:42:29.198Z ::ffff:127.0.0.1 : Ping
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2026-06-25T16:42:31.500Z ::ffff:127.0.0.1 : Ping
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2026-06-25T16:42:31.500Z ::ffff:127.0.0.1 : Ping
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2026-06-25T16:42:31.578Z ::ffff:127.0.0.1 : Ping
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2026-06-25T16:42:31.578Z ::ffff:127.0.0.1 : Ping
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2026-06-26T03:31:10.434Z ::ffff:127.0.0.1 : Ping
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2026-06-26T03:31:10.438Z ::ffff:127.0.0.1 : Ping
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2026-06-26T04:00:23.262Z ::ffff:127.0.0.1 : Ping
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2026-06-26T04:00:23.430Z ::ffff:127.0.0.1 : Ping
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2026-06-26T04:36:17.220Z ::ffff:127.0.0.1 : Ping
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2026-06-26T04:36:17.238Z ::ffff:127.0.0.1 : Ping
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@@ -56,7 +56,7 @@ class Arm3SegmentLinearX extends RobotBase {
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if (r > (this.l1 + this.l2)) { return; }
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if (r > (this.l1 + this.l2)) { return; }
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if (r == 0) { return; }
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if (r == 0) { return; }
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var gamma = Math.asin(pZ / r);
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var gamma = Math.atan2(pZ, pY);
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var delta = Math.acos((this.l1 * this.l1 + this.l2 * this.l2 - r * r) / (2 * this.l1 * this.l2));
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var delta = Math.acos((this.l1 * this.l1 + this.l2 * this.l2 - r * r) / (2 * this.l1 * this.l2));
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this.alpha = Math.acos((this.l1 * this.l1 + r * r - this.l2 * this.l2) / (2 * r * this.l1)) + gamma;
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this.alpha = Math.acos((this.l1 * this.l1 + r * r - this.l2 * this.l2) / (2 * r * this.l1)) + gamma;
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this.beta = -Math.PI + (this.alpha + delta);
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this.beta = -Math.PI + (this.alpha + delta);
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@@ -5,7 +5,7 @@ describe("Robot Kinematics Roundtrip", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 1", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 1", () => {
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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const L1 = 300;
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const L1 = 300;
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const L2 = 200;
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const L2 = 200;
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const L3 = 10;
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const L3 = 10;
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@@ -34,7 +34,7 @@ describe("Robot Kinematics Roundtrip", () => {
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c: A.c
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c: A.c
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};
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};
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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const B = new Robot(L1, L2, L3);
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const B = new Robot(L1, L2, L3);
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B.xMotor = motor.xMotor;
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B.xMotor = motor.xMotor;
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@@ -59,7 +59,7 @@ describe("Robot Kinematics Roundtrip", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 2", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 2", () => {
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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const L1 = 300;
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const L1 = 300;
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const L2 = 300;
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const L2 = 300;
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const L3 = 10;
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const L3 = 10;
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@@ -88,7 +88,7 @@ describe("Robot Kinematics Roundtrip", () => {
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c: A.c
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c: A.c
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};
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};
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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const B = new Robot(L1, L2, L3);
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const B = new Robot(L1, L2, L3);
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B.xMotor = motor.xMotor;
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B.xMotor = motor.xMotor;
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@@ -114,7 +114,7 @@ describe("Robot Kinematics Roundtrip", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 3", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 3", () => {
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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const L1 = 300;
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const L1 = 300;
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const L2 = 200;
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const L2 = 200;
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const L3 = 10;
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const L3 = 10;
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@@ -144,7 +144,7 @@ describe("Robot Kinematics Roundtrip", () => {
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c: A.c
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c: A.c
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};
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};
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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const B = new Robot(L1, L2, L3);
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const B = new Robot(L1, L2, L3);
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B.xMotor = motor.xMotor;
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B.xMotor = motor.xMotor;
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@@ -170,7 +170,7 @@ describe("Robot Kinematics Roundtrip", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 4", () => {
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test("calculateAngles3D() <-> calculatePositionFromMotorAngles() handgelenk 4", () => {
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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// === Instanz A: Vorwärts-Kinematik (XYZ -> Motorwinkel) ===
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const L1 = 300;
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const L1 = 300;
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const L2 = 200;
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const L2 = 200;
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const L3 = 10;
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const L3 = 10;
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@@ -200,7 +200,7 @@ describe("Robot Kinematics Roundtrip", () => {
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c: A.c
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c: A.c
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};
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};
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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// === Instanz B: Rückwärts-Kinematik (Motorwinkel -> XYZ) ===
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const B = new Robot(L1, L2, L3);
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const B = new Robot(L1, L2, L3);
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B.xMotor = motor.xMotor;
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B.xMotor = motor.xMotor;
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@@ -233,4 +233,92 @@ describe("Robot Kinematics Roundtrip", () => {
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// --- phi/theta/psi Round-Trip (psi != 0) ---
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// Prueft ob calculatePositionFromMotorAngles() auch die Orientierung
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// (phi, theta, psi) korrekt zurueckrechnet, nicht nur x/y/z.
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function roundTrip(L1, L2, L3, x, y, z, phi, theta, psi) {
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const A = new Robot(L1, L2, L3);
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A.x = x; A.y = y; A.z = z;
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A.phi = phi; A.theta = theta; A.psi = psi;
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A.calculateAngles3D();
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const B = new Robot(L1, L2, L3);
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B.xMotor = A.xMotor;
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B.alpha = A.alpha;
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B.beta = A.beta;
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B.a = A.a;
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B.b = A.b;
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B.c = A.c;
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B.calculatePositionFromMotorAngles();
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return { A, B };
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}
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test("phi/theta/psi Round-Trip: psi = +45 Grad", () => {
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const { A, B } = roundTrip(300, 200, 10, 10, 430, 30, Math.PI/7, Math.PI/2, Math.PI/4);
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const EPS = 4; // 4 Dezimalstellen, ca. 0.1 mrad
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expect(B.x).toBeCloseTo(A.x, EPS);
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expect(B.y).toBeCloseTo(A.y, EPS);
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expect(B.z).toBeCloseTo(A.z, EPS);
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expect(B.phi).toBeCloseTo(A.phi, EPS);
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expect(B.theta).toBeCloseTo(A.theta, EPS);
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expect(B.psi).toBeCloseTo(A.psi, EPS);
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});
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test("phi/theta/psi Round-Trip: psi = -30 Grad", () => {
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const { A, B } = roundTrip(300, 200, 10, 10, 430, 30, Math.PI/7, Math.PI/2, -Math.PI/6);
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const EPS = 4;
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expect(B.x).toBeCloseTo(A.x, EPS);
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expect(B.y).toBeCloseTo(A.y, EPS);
|
||||||
|
expect(B.z).toBeCloseTo(A.z, EPS);
|
||||||
|
expect(B.phi).toBeCloseTo(A.phi, EPS);
|
||||||
|
expect(B.theta).toBeCloseTo(A.theta, EPS);
|
||||||
|
expect(B.psi).toBeCloseTo(A.psi, EPS);
|
||||||
|
});
|
||||||
|
|
||||||
|
test("phi/theta/psi Round-Trip: psi = +90 Grad, phi = -90 Grad", () => {
|
||||||
|
const { A, B } = roundTrip(300, 200, 10, 0, 450, 0, -Math.PI/2, Math.PI/2, Math.PI/2);
|
||||||
|
const EPS = 4;
|
||||||
|
expect(B.x).toBeCloseTo(A.x, EPS);
|
||||||
|
expect(B.y).toBeCloseTo(A.y, EPS);
|
||||||
|
expect(B.z).toBeCloseTo(A.z, EPS);
|
||||||
|
expect(B.phi).toBeCloseTo(A.phi, EPS);
|
||||||
|
expect(B.theta).toBeCloseTo(A.theta, EPS);
|
||||||
|
expect(B.psi).toBeCloseTo(A.psi, EPS);
|
||||||
|
});
|
||||||
|
|
||||||
|
|
||||||
|
// --- Null-Stellung und reale Positionen in -Y Richtung ---
|
||||||
|
// Der Roboter arbeitet mit y < 0 als Hauptrichtung.
|
||||||
|
// Null-Stellung: Arm voll ausgestreckt in -Y, Fingerspitze bei y=-(l1+l2+l3), z=0.
|
||||||
|
// Hand zeigt ebenfalls in -Y => Handvektor (Fingerspitze->Handgelenk) zeigt in +Y
|
||||||
|
// => phi = pi/2, theta = pi/2.
|
||||||
|
|
||||||
|
test("Null-Stellung: Arm voll ausgestreckt in -Y, y=-(L1+L2+L3), z=0", () => {
|
||||||
|
const L1 = 300, L2 = 200, L3 = 10;
|
||||||
|
const { A, B } = roundTrip(L1, L2, L3, 0, -(L1+L2+L3), 0, Math.PI/2, Math.PI/2, 0);
|
||||||
|
const EPS = 4;
|
||||||
|
expect(B.x).toBeCloseTo(A.x, EPS);
|
||||||
|
expect(B.y).toBeCloseTo(A.y, EPS);
|
||||||
|
expect(B.z).toBeCloseTo(A.z, EPS);
|
||||||
|
expect(B.phi).toBeCloseTo(A.phi, EPS);
|
||||||
|
expect(B.theta).toBeCloseTo(A.theta, EPS);
|
||||||
|
expect(B.psi).toBeCloseTo(A.psi, EPS);
|
||||||
|
});
|
||||||
|
|
||||||
|
test("Zwischenposition in -Y: Fingerspitze bei y=-400, z=100", () => {
|
||||||
|
const L1 = 300, L2 = 200, L3 = 10;
|
||||||
|
// Gleiche Handorientierung wie Null-Stellung: phi=pi/2, theta=pi/2
|
||||||
|
const { A, B } = roundTrip(L1, L2, L3, 0, -400, 100, Math.PI/2, Math.PI/2, 0);
|
||||||
|
const EPS = 4;
|
||||||
|
expect(B.x).toBeCloseTo(A.x, EPS);
|
||||||
|
expect(B.y).toBeCloseTo(A.y, EPS);
|
||||||
|
expect(B.z).toBeCloseTo(A.z, EPS);
|
||||||
|
expect(B.phi).toBeCloseTo(A.phi, EPS);
|
||||||
|
expect(B.theta).toBeCloseTo(A.theta, EPS);
|
||||||
|
expect(B.psi).toBeCloseTo(A.psi, EPS);
|
||||||
|
});
|
||||||
|
|
||||||
});
|
});
|
||||||
Reference in New Issue
Block a user