diff --git a/Marlin/Marlin_main.cpp b/Marlin/Marlin_main.cpp index 63dfcf76b4..7950317369 100644 --- a/Marlin/Marlin_main.cpp +++ b/Marlin/Marlin_main.cpp @@ -8345,25 +8345,26 @@ void prepare_move_to_destination() { #endif // HAS_CONTROLLERFAN -#if IS_SCARA +#if ENABLED(MORGAN_SCARA) + /** + * 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) { - // Perform forward kinematics, and place results in cartes[] - // The maths and first version has been done by QHARLEY . Integrated into masterbranch 06/2014 and slightly restructured by Joachim Cerny in June 2014 - float a_sin, a_cos, b_sin, b_cos; - - a_sin = sin(RADIANS(a)) * L1; - a_cos = cos(RADIANS(a)) * L1; - b_sin = sin(RADIANS(b)) * L2; - b_cos = cos(RADIANS(b)) * L2; + 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_ECHOPAIR("f_delta x=", a); - SERIAL_ECHOPAIR(" y=", b); + SERIAL_ECHOPAIR("Angle a=", a); + SERIAL_ECHOPAIR(" b=", b); SERIAL_ECHOPAIR(" a_sin=", a_sin); SERIAL_ECHOPAIR(" a_cos=", a_cos); SERIAL_ECHOPAIR(" b_sin=", b_sin); @@ -8373,29 +8374,38 @@ void prepare_move_to_destination() { //*/ } + /** + * 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 logical[XYZ]) { - // Inverse kinematics. - // Perform SCARA IK and place results in delta[]. - // The maths and first version were done by QHARLEY. - // Integrated, tweaked by Joachim Cerny in June 2014. static float C2, S2, SK1, SK2, THETA, PSI; float sx = RAW_X_POSITION(logical[X_AXIS]) - SCARA_OFFSET_X, // Translate SCARA to standard X Y sy = RAW_Y_POSITION(logical[Y_AXIS]) - SCARA_OFFSET_Y; // With scaling factor. - #if (L1 == L2) - C2 = HYPOT2(sx, sy) / (2 * L1_2) - 1; - #else - C2 = (HYPOT2(sx, sy) - L1_2 - L2_2) / 45000; - #endif + 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)); + S2 = sqrt(sq(C2) - 1); + // 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; - THETA = (atan2(sx, sy) - atan2(SK1, SK2)) * -1; + // 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 @@ -8414,7 +8424,7 @@ void prepare_move_to_destination() { //*/ } -#endif // IS_SCARA +#endif // MORGAN_SCARA #if ENABLED(TEMP_STAT_LEDS)