/** * Marlin 3D Printer Firmware * Copyright (c) 2019 MarlinFirmware [https://github.com/MarlinFirmware/Marlin] * * Based on Sprinter and grbl. * Copyright (c) 2011 Camiel Gubbels / Erik van der Zalm * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . * */ /** * scara.cpp */ #include "../inc/MarlinConfig.h" #if IS_SCARA #include "scara.h" #include "motion.h" #include "planner.h" float delta_segments_per_second = SCARA_SEGMENTS_PER_SECOND; void scara_set_axis_is_at_home(const AxisEnum axis) { if (axis == Z_AXIS) current_position[Z_AXIS] = Z_HOME_POS; else { /** * SCARA homes XY at the same time */ float homeposition[XYZ]; LOOP_XYZ(i) homeposition[i] = base_home_pos((AxisEnum)i); // SERIAL_ECHOLNPAIR("homeposition X:", homeposition[X_AXIS], " Y:", homeposition[Y_AXIS]); /** * Get Home position SCARA arm angles using inverse kinematics, * and calculate homing offset using forward kinematics */ inverse_kinematics(homeposition); forward_kinematics_SCARA(delta[A_AXIS], delta[B_AXIS]); // SERIAL_ECHOLNPAIR("Cartesian X:", cartes[X_AXIS], " Y:", cartes[Y_AXIS]); current_position[axis] = cartes[axis]; update_software_endstops(axis); } } /** * Morgan SCARA Forward Kinematics. Results in cartes[]. * Maths and first version by QHARLEY. * Integrated into Marlin and slightly restructured by Joachim Cerny. */ void forward_kinematics_SCARA(const float &a, const float &b) { const float a_sin = sin(RADIANS(a)) * L1, a_cos = cos(RADIANS(a)) * L1, b_sin = sin(RADIANS(b)) * L2, b_cos = cos(RADIANS(b)) * L2; cartes[X_AXIS] = a_cos + b_cos + SCARA_OFFSET_X; //theta cartes[Y_AXIS] = a_sin + b_sin + SCARA_OFFSET_Y; //theta+phi /* SERIAL_ECHOLNPAIR( "SCARA FK Angle a=", a, " b=", b, " a_sin=", a_sin, " a_cos=", a_cos, " b_sin=", b_sin, " b_cos=", b_cos ); SERIAL_ECHOLNPAIR(" cartes (X,Y) = "(cartes[X_AXIS], ", ", cartes[Y_AXIS], ")"); //*/ } /** * Morgan SCARA Inverse Kinematics. Results in delta[]. * * See http://forums.reprap.org/read.php?185,283327 * * Maths and first version by QHARLEY. * Integrated into Marlin and slightly restructured by Joachim Cerny. */ void inverse_kinematics(const float (&raw)[XYZ]) { static float C2, S2, SK1, SK2, THETA, PSI; float sx = raw[X_AXIS] - SCARA_OFFSET_X, // Translate SCARA to standard X Y sy = raw[Y_AXIS] - SCARA_OFFSET_Y; // With scaling factor. if (L1 == L2) C2 = HYPOT2(sx, sy) / L1_2_2 - 1; else C2 = (HYPOT2(sx, sy) - (L1_2 + L2_2)) / (2.0 * L1 * L2); S2 = SQRT(1 - sq(C2)); // Unrotated Arm1 plus rotated Arm2 gives the distance from Center to End SK1 = L1 + L2 * C2; // Rotated Arm2 gives the distance from Arm1 to Arm2 SK2 = L2 * S2; // Angle of Arm1 is the difference between Center-to-End angle and the Center-to-Elbow THETA = ATAN2(SK1, SK2) - ATAN2(sx, sy); // Angle of Arm2 PSI = ATAN2(S2, C2); delta[A_AXIS] = DEGREES(THETA); // theta is support arm angle delta[B_AXIS] = DEGREES(THETA + PSI); // equal to sub arm angle (inverted motor) delta[C_AXIS] = raw[Z_AXIS]; /* DEBUG_POS("SCARA IK", raw); DEBUG_POS("SCARA IK", delta); SERIAL_ECHOLNPAIR(" SCARA (x,y) ", sx, ",", sy, " C2=", C2, " S2=", S2, " Theta=", THETA, " Phi=", PHI); //*/ } void scara_report_positions() { SERIAL_ECHOLNPAIR("SCARA Theta:", planner.get_axis_position_degrees(A_AXIS), " Psi+Theta:", planner.get_axis_position_degrees(B_AXIS)); SERIAL_EOL(); } #endif // IS_SCARA