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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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// Translate SCARA to standard XY with scaling factor
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const xy_pos_t spos = raw - scara_offset; |
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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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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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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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#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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