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@@ -47,19 +47,22 @@ void scara_set_axis_is_at_home(const AxisEnum axis) {
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#if ENABLED(MORGAN_SCARA)
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// MORGAN_SCARA uses arm angles for AB home position
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- // SERIAL_ECHOLNPAIR("homeposition A:", homeposition.a, " B:", homeposition.b);
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+ //DEBUG_ECHOLNPAIR("homeposition A:", homeposition.a, " B:", homeposition.b);
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inverse_kinematics(homeposition);
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forward_kinematics_SCARA(delta.a, delta.b);
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current_position[axis] = cartes[axis];
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#else
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// MP_SCARA uses a Cartesian XY home position
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- // SERIAL_ECHOPGM("homeposition");
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- // SERIAL_ECHOLNPAIR_P(SP_X_LBL, homeposition.x, SP_Y_LBL, homeposition.y);
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- current_position[axis] = homeposition[axis];
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+ //DEBUG_ECHOPGM("homeposition");
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+ //DEBUG_ECHOLNPAIR_P(SP_X_LBL, homeposition.x, SP_Y_LBL, homeposition.y);
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+ delta.a = SCARA_OFFSET_THETA1;
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+ delta.b = SCARA_OFFSET_THETA2;
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+ forward_kinematics_SCARA(delta.a, delta.b);
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+ current_position[axis] = cartes[axis];
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#endif
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- // SERIAL_ECHOPGM("Cartesian");
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- // SERIAL_ECHOLNPAIR_P(SP_X_LBL, current_position.x, SP_Y_LBL, current_position.y);
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+ //DEBUG_ECHOPGM("Cartesian");
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+ //DEBUG_ECHOLNPAIR_P(SP_X_LBL, current_position.x, SP_Y_LBL, current_position.y);
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update_software_endstops(axis);
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}
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}
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@@ -75,14 +78,14 @@ void forward_kinematics_SCARA(const float &a, const float &b) {
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const float a_sin = sin(RADIANS(a)) * L1,
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a_cos = cos(RADIANS(a)) * L1,
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- b_sin = sin(RADIANS(b)) * L2,
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- b_cos = cos(RADIANS(b)) * L2;
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+ b_sin = sin(RADIANS(b + TERN0(MP_SCARA, a))) * L2,
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+ b_cos = cos(RADIANS(b + TERN0(MP_SCARA, a))) * L2;
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cartes.set(a_cos + b_cos + scara_offset.x, // theta
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- a_sin + b_sin + scara_offset.y); // theta+phi
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+ a_sin + b_sin + scara_offset.y); // phi
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/*
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- SERIAL_ECHOLNPAIR(
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+ DEBUG_ECHOLNPAIR(
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"SCARA FK Angle a=", a,
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" b=", b,
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" a_sin=", a_sin,
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@@ -90,74 +93,60 @@ void forward_kinematics_SCARA(const float &a, const float &b) {
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" b_sin=", b_sin,
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" b_cos=", b_cos
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);
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- SERIAL_ECHOLNPAIR(" cartes (X,Y) = "(cartes.x, ", ", cartes.y, ")");
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+ DEBUG_ECHOLNPAIR(" cartes (X,Y) = "(cartes.x, ", ", cartes.y, ")");
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//*/
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}
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+/**
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+ * SCARA Inverse Kinematics. Results in 'delta'.
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+ *
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+ * See https://reprap.org/forum/read.php?185,283327
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+ *
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+ * Maths and first version by QHARLEY.
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+ * Integrated into Marlin and slightly restructured by Joachim Cerny.
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+ */
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void inverse_kinematics(const xyz_pos_t &raw) {
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+ float C2, S2, SK1, SK2, THETA, PSI;
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- #if ENABLED(MORGAN_SCARA)
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- /**
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- * Morgan SCARA Inverse Kinematics. Results in 'delta'.
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- *
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- * See https://reprap.org/forum/read.php?185,283327
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- *
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- * Maths and first version by QHARLEY.
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- * Integrated into Marlin and slightly restructured by Joachim Cerny.
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- */
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- float C2, S2, SK1, SK2, THETA, PSI;
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-
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- // Translate SCARA to standard XY with scaling factor
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- const xy_pos_t spos = raw - scara_offset;
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-
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- const float H2 = HYPOT2(spos.x, spos.y);
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- if (L1 == L2)
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- C2 = H2 / L1_2_2 - 1;
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- else
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- C2 = (H2 - (L1_2 + L2_2)) / (2.0f * L1 * L2);
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-
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- S2 = SQRT(1.0f - sq(C2));
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+ // Translate SCARA to standard XY with scaling factor
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+ const xy_pos_t spos = raw - scara_offset;
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- // Unrotated Arm1 plus rotated Arm2 gives the distance from Center to End
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- SK1 = L1 + L2 * C2;
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+ const float H2 = HYPOT2(spos.x, spos.y);
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+ if (L1 == L2)
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+ C2 = H2 / L1_2_2 - 1;
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+ else
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+ C2 = (H2 - (L1_2 + L2_2)) / (2.0f * L1 * L2);
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- // Rotated Arm2 gives the distance from Arm1 to Arm2
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- SK2 = L2 * S2;
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+ LIMIT(C2, -1, 1);
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- // Angle of Arm1 is the difference between Center-to-End angle and the Center-to-Elbow
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- THETA = ATAN2(SK1, SK2) - ATAN2(spos.x, spos.y);
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+ S2 = SQRT(1.0f - sq(C2));
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- // Angle of Arm2
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- PSI = ATAN2(S2, C2);
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+ // Unrotated Arm1 plus rotated Arm2 gives the distance from Center to End
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+ SK1 = L1 + L2 * C2;
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- delta.set(DEGREES(THETA), DEGREES(THETA + PSI), raw.z);
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+ // Rotated Arm2 gives the distance from Arm1 to Arm2
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+ SK2 = L2 * S2;
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- /*
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- DEBUG_POS("SCARA IK", raw);
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- DEBUG_POS("SCARA IK", delta);
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- SERIAL_ECHOLNPAIR(" SCARA (x,y) ", sx, ",", sy, " C2=", C2, " S2=", S2, " Theta=", THETA, " Phi=", PHI);
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- //*/
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+ // Angle of Arm1 is the difference between Center-to-End angle and the Center-to-Elbow
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+ THETA = ATAN2(SK1, SK2) - ATAN2(spos.x, spos.y);
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- #else // MP_SCARA
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+ // Angle of Arm2
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+ PSI = ATAN2(S2, C2);
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- const float x = raw.x, y = raw.y, c = HYPOT(x, y),
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- THETA3 = ATAN2(y, x),
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- THETA1 = THETA3 + ACOS((sq(c) + sq(L1) - sq(L2)) / (2.0f * c * L1)),
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- THETA2 = THETA3 - ACOS((sq(c) + sq(L2) - sq(L1)) / (2.0f * c * L2));
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+ delta.set(DEGREES(THETA), DEGREES(PSI + TERN0(MORGAN_SCARA, THETA)), raw.z);
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- delta.set(DEGREES(THETA1), DEGREES(THETA2), raw.z);
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-
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- /*
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- DEBUG_POS("SCARA IK", raw);
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- DEBUG_POS("SCARA IK", delta);
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- SERIAL_ECHOLNPAIR(" SCARA (x,y) ", x, ",", y," Theta1=", THETA1, " Theta2=", THETA2);
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- //*/
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-
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- #endif // MP_SCARA
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+ /*
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+ DEBUG_POS("SCARA IK", raw);
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+ DEBUG_POS("SCARA IK", delta);
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+ DEBUG_ECHOLNPAIR(" SCARA (x,y) ", sx, ",", sy, " C2=", C2, " S2=", S2, " Theta=", THETA, " Psi=", PSI);
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+ //*/
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}
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void scara_report_positions() {
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- SERIAL_ECHOLNPAIR("SCARA Theta:", planner.get_axis_position_degrees(A_AXIS), " Psi+Theta:", planner.get_axis_position_degrees(B_AXIS));
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+ SERIAL_ECHOLNPAIR(
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+ "SCARA Theta:", planner.get_axis_position_degrees(A_AXIS),
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+ " Psi" TERN_(MORGAN_SCARA, "+Theta") ":", planner.get_axis_position_degrees(B_AXIS)
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+ );
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SERIAL_EOL();
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}
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