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authorGeorgiy Bondarenko <69736697+nehilo@users.noreply.github.com>2021-03-04 20:54:23 +0300
committerGeorgiy Bondarenko <69736697+nehilo@users.noreply.github.com>2021-03-04 20:54:23 +0300
commite8701195e66f2d27ffe17fb514eae8173795aaf7 (patch)
tree9f519c4abf6556b9ae7190a6210d87ead1dfadde /Marlin/src/gcode/motion/G2_G3.cpp
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+/**
+ * Marlin 3D Printer Firmware
+ * Copyright (c) 2020 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 <https://www.gnu.org/licenses/>.
+ *
+ */
+
+#include "../../inc/MarlinConfig.h"
+
+#if ENABLED(ARC_SUPPORT)
+
+#include "../gcode.h"
+#include "../../module/motion.h"
+#include "../../module/planner.h"
+#include "../../module/temperature.h"
+
+#if ENABLED(DELTA)
+ #include "../../module/delta.h"
+#elif ENABLED(SCARA)
+ #include "../../module/scara.h"
+#endif
+
+#if N_ARC_CORRECTION < 1
+ #undef N_ARC_CORRECTION
+ #define N_ARC_CORRECTION 1
+#endif
+
+/**
+ * Plan an arc in 2 dimensions, with optional linear motion in a 3rd dimension
+ *
+ * The arc is traced by generating many small linear segments, as configured by
+ * MM_PER_ARC_SEGMENT (Default 1mm). In the future we hope more slicers will include
+ * an option to generate G2/G3 arcs for curved surfaces, as this will allow faster
+ * boards to produce much smoother curved surfaces.
+ */
+void plan_arc(
+ const xyze_pos_t &cart, // Destination position
+ const ab_float_t &offset, // Center of rotation relative to current_position
+ const bool clockwise, // Clockwise?
+ const uint8_t circles // Take the scenic route
+) {
+ #if ENABLED(CNC_WORKSPACE_PLANES)
+ AxisEnum p_axis, q_axis, l_axis;
+ switch (gcode.workspace_plane) {
+ default:
+ case GcodeSuite::PLANE_XY: p_axis = X_AXIS; q_axis = Y_AXIS; l_axis = Z_AXIS; break;
+ case GcodeSuite::PLANE_YZ: p_axis = Y_AXIS; q_axis = Z_AXIS; l_axis = X_AXIS; break;
+ case GcodeSuite::PLANE_ZX: p_axis = Z_AXIS; q_axis = X_AXIS; l_axis = Y_AXIS; break;
+ }
+ #else
+ constexpr AxisEnum p_axis = X_AXIS, q_axis = Y_AXIS, l_axis = Z_AXIS;
+ #endif
+
+ // Radius vector from center to current location
+ ab_float_t rvec = -offset;
+
+ const float radius = HYPOT(rvec.a, rvec.b),
+ center_P = current_position[p_axis] - rvec.a,
+ center_Q = current_position[q_axis] - rvec.b,
+ rt_X = cart[p_axis] - center_P,
+ rt_Y = cart[q_axis] - center_Q,
+ start_L = current_position[l_axis];
+
+ #ifdef MIN_ARC_SEGMENTS
+ uint16_t min_segments = MIN_ARC_SEGMENTS;
+ #else
+ constexpr uint16_t min_segments = 1;
+ #endif
+
+ // Angle of rotation between position and target from the circle center.
+ float angular_travel;
+
+ // Do a full circle if starting and ending positions are "identical"
+ if (NEAR(current_position[p_axis], cart[p_axis]) && NEAR(current_position[q_axis], cart[q_axis])) {
+ // Preserve direction for circles
+ angular_travel = clockwise ? -RADIANS(360) : RADIANS(360);
+ }
+ else {
+ // Calculate the angle
+ angular_travel = ATAN2(rvec.a * rt_Y - rvec.b * rt_X, rvec.a * rt_X + rvec.b * rt_Y);
+
+ // Angular travel too small to detect? Just return.
+ if (!angular_travel) return;
+
+ // Make sure angular travel over 180 degrees goes the other way around.
+ switch (((angular_travel < 0) << 1) | clockwise) {
+ case 1: angular_travel -= RADIANS(360); break; // Positive but CW? Reverse direction.
+ case 2: angular_travel += RADIANS(360); break; // Negative but CCW? Reverse direction.
+ }
+
+ #ifdef MIN_ARC_SEGMENTS
+ min_segments = CEIL(min_segments * ABS(angular_travel) / RADIANS(360));
+ NOLESS(min_segments, 1U);
+ #endif
+ }
+
+ float linear_travel = cart[l_axis] - start_L,
+ extruder_travel = cart.e - current_position.e;
+
+ // If circling around...
+ if (ENABLED(ARC_P_CIRCLES) && circles) {
+ const float total_angular = angular_travel + circles * RADIANS(360), // Total rotation with all circles and remainder
+ part_per_circle = RADIANS(360) / total_angular, // Each circle's part of the total
+ l_per_circle = linear_travel * part_per_circle, // L movement per circle
+ e_per_circle = extruder_travel * part_per_circle; // E movement per circle
+ xyze_pos_t temp_position = current_position; // for plan_arc to compare to current_position
+ for (uint16_t n = circles; n--;) {
+ temp_position.e += e_per_circle; // Destination E axis
+ temp_position[l_axis] += l_per_circle; // Destination L axis
+ plan_arc(temp_position, offset, clockwise, 0); // Plan a single whole circle
+ }
+ linear_travel = cart[l_axis] - current_position[l_axis];
+ extruder_travel = cart.e - current_position.e;
+ }
+
+ const float flat_mm = radius * angular_travel,
+ mm_of_travel = linear_travel ? HYPOT(flat_mm, linear_travel) : ABS(flat_mm);
+ if (mm_of_travel < 0.001f) return;
+
+ const feedRate_t scaled_fr_mm_s = MMS_SCALED(feedrate_mm_s);
+
+ // Start with a nominal segment length
+ float seg_length = (
+ #ifdef ARC_SEGMENTS_PER_R
+ constrain(MM_PER_ARC_SEGMENT * radius, MM_PER_ARC_SEGMENT, ARC_SEGMENTS_PER_R)
+ #elif ARC_SEGMENTS_PER_SEC
+ _MAX(scaled_fr_mm_s * RECIPROCAL(ARC_SEGMENTS_PER_SEC), MM_PER_ARC_SEGMENT)
+ #else
+ MM_PER_ARC_SEGMENT
+ #endif
+ );
+ // Divide total travel by nominal segment length
+ uint16_t segments = FLOOR(mm_of_travel / seg_length);
+ NOLESS(segments, min_segments); // At least some segments
+ seg_length = mm_of_travel / segments;
+
+ /**
+ * Vector rotation by transformation matrix: r is the original vector, r_T is the rotated vector,
+ * and phi is the angle of rotation. Based on the solution approach by Jens Geisler.
+ * r_T = [cos(phi) -sin(phi);
+ * sin(phi) cos(phi)] * r ;
+ *
+ * For arc generation, the center of the circle is the axis of rotation and the radius vector is
+ * defined from the circle center to the initial position. Each line segment is formed by successive
+ * vector rotations. This requires only two cos() and sin() computations to form the rotation
+ * matrix for the duration of the entire arc. Error may accumulate from numerical round-off, since
+ * all double numbers are single precision on the Arduino. (True double precision will not have
+ * round off issues for CNC applications.) Single precision error can accumulate to be greater than
+ * tool precision in some cases. Therefore, arc path correction is implemented.
+ *
+ * Small angle approximation may be used to reduce computation overhead further. This approximation
+ * holds for everything, but very small circles and large MM_PER_ARC_SEGMENT values. In other words,
+ * theta_per_segment would need to be greater than 0.1 rad and N_ARC_CORRECTION would need to be large
+ * to cause an appreciable drift error. N_ARC_CORRECTION~=25 is more than small enough to correct for
+ * numerical drift error. N_ARC_CORRECTION may be on the order a hundred(s) before error becomes an
+ * issue for CNC machines with the single precision Arduino calculations.
+ *
+ * This approximation also allows plan_arc to immediately insert a line segment into the planner
+ * without the initial overhead of computing cos() or sin(). By the time the arc needs to be applied
+ * a correction, the planner should have caught up to the lag caused by the initial plan_arc overhead.
+ * This is important when there are successive arc motions.
+ */
+ // Vector rotation matrix values
+ xyze_pos_t raw;
+ const float theta_per_segment = angular_travel / segments,
+ linear_per_segment = linear_travel / segments,
+ extruder_per_segment = extruder_travel / segments,
+ sq_theta_per_segment = sq(theta_per_segment),
+ sin_T = theta_per_segment - sq_theta_per_segment * theta_per_segment / 6,
+ cos_T = 1 - 0.5f * sq_theta_per_segment; // Small angle approximation
+
+ // Initialize the linear axis
+ raw[l_axis] = current_position[l_axis];
+
+ // Initialize the extruder axis
+ raw.e = current_position.e;
+
+ #if ENABLED(SCARA_FEEDRATE_SCALING)
+ const float inv_duration = scaled_fr_mm_s / seg_length;
+ #endif
+
+ millis_t next_idle_ms = millis() + 200UL;
+
+ #if N_ARC_CORRECTION > 1
+ int8_t arc_recalc_count = N_ARC_CORRECTION;
+ #endif
+
+ for (uint16_t i = 1; i < segments; i++) { // Iterate (segments-1) times
+
+ thermalManager.manage_heater();
+ if (ELAPSED(millis(), next_idle_ms)) {
+ next_idle_ms = millis() + 200UL;
+ idle();
+ }
+
+ #if N_ARC_CORRECTION > 1
+ if (--arc_recalc_count) {
+ // Apply vector rotation matrix to previous rvec.a / 1
+ const float r_new_Y = rvec.a * sin_T + rvec.b * cos_T;
+ rvec.a = rvec.a * cos_T - rvec.b * sin_T;
+ rvec.b = r_new_Y;
+ }
+ else
+ #endif
+ {
+ #if N_ARC_CORRECTION > 1
+ arc_recalc_count = N_ARC_CORRECTION;
+ #endif
+
+ // Arc correction to radius vector. Computed only every N_ARC_CORRECTION increments.
+ // Compute exact location by applying transformation matrix from initial radius vector(=-offset).
+ // To reduce stuttering, the sin and cos could be computed at different times.
+ // For now, compute both at the same time.
+ const float cos_Ti = cos(i * theta_per_segment), sin_Ti = sin(i * theta_per_segment);
+ rvec.a = -offset[0] * cos_Ti + offset[1] * sin_Ti;
+ rvec.b = -offset[0] * sin_Ti - offset[1] * cos_Ti;
+ }
+
+ // Update raw location
+ raw[p_axis] = center_P + rvec.a;
+ raw[q_axis] = center_Q + rvec.b;
+ #if ENABLED(AUTO_BED_LEVELING_UBL)
+ raw[l_axis] = start_L;
+ UNUSED(linear_per_segment);
+ #else
+ raw[l_axis] += linear_per_segment;
+ #endif
+ raw.e += extruder_per_segment;
+
+ apply_motion_limits(raw);
+
+ #if HAS_LEVELING && !PLANNER_LEVELING
+ planner.apply_leveling(raw);
+ #endif
+
+ if (!planner.buffer_line(raw, scaled_fr_mm_s, active_extruder, 0
+ #if ENABLED(SCARA_FEEDRATE_SCALING)
+ , inv_duration
+ #endif
+ )) break;
+ }
+
+ // Ensure last segment arrives at target location.
+ raw = cart;
+ TERN_(AUTO_BED_LEVELING_UBL, raw[l_axis] = start_L);
+
+ apply_motion_limits(raw);
+
+ #if HAS_LEVELING && !PLANNER_LEVELING
+ planner.apply_leveling(raw);
+ #endif
+
+ planner.buffer_line(raw, scaled_fr_mm_s, active_extruder, 0
+ #if ENABLED(SCARA_FEEDRATE_SCALING)
+ , inv_duration
+ #endif
+ );
+
+ TERN_(AUTO_BED_LEVELING_UBL, raw[l_axis] = start_L);
+ current_position = raw;
+
+} // plan_arc
+
+/**
+ * G2: Clockwise Arc
+ * G3: Counterclockwise Arc
+ *
+ * This command has two forms: IJ-form (JK, KI) and R-form.
+ *
+ * - Depending on the current Workspace Plane orientation,
+ * use parameters IJ/JK/KI to specify the XY/YZ/ZX offsets.
+ * At least one of the IJ/JK/KI parameters is required.
+ * XY/YZ/ZX can be omitted to do a complete circle.
+ * The given XY/YZ/ZX is not error-checked. The arc ends
+ * based on the angle of the destination.
+ * Mixing IJ/JK/KI with R will throw an error.
+ *
+ * - R specifies the radius. X or Y (Y or Z / Z or X) is required.
+ * Omitting both XY/YZ/ZX will throw an error.
+ * XY/YZ/ZX must differ from the current XY/YZ/ZX.
+ * Mixing R with IJ/JK/KI will throw an error.
+ *
+ * - P specifies the number of full circles to do
+ * before the specified arc move.
+ *
+ * Examples:
+ *
+ * G2 I10 ; CW circle centered at X+10
+ * G3 X20 Y12 R14 ; CCW circle with r=14 ending at X20 Y12
+ */
+void GcodeSuite::G2_G3(const bool clockwise) {
+ if (MOTION_CONDITIONS) {
+
+ #if ENABLED(SF_ARC_FIX)
+ const bool relative_mode_backup = relative_mode;
+ relative_mode = true;
+ #endif
+
+ get_destination_from_command(); // Get X Y Z E F (and set cutter power)
+
+ TERN_(SF_ARC_FIX, relative_mode = relative_mode_backup);
+
+ ab_float_t arc_offset = { 0, 0 };
+ if (parser.seenval('R')) {
+ const float r = parser.value_linear_units();
+ if (r) {
+ const xy_pos_t p1 = current_position, p2 = destination;
+ if (p1 != p2) {
+ const xy_pos_t d2 = (p2 - p1) * 0.5f; // XY vector to midpoint of move from current
+ const float e = clockwise ^ (r < 0) ? -1 : 1, // clockwise -1/1, counterclockwise 1/-1
+ len = d2.magnitude(), // Distance to mid-point of move from current
+ h2 = (r - len) * (r + len), // factored to reduce rounding error
+ h = (h2 >= 0) ? SQRT(h2) : 0.0f; // Distance to the arc pivot-point from midpoint
+ const xy_pos_t s = { -d2.y, d2.x }; // Perpendicular bisector. (Divide by len for unit vector.)
+ arc_offset = d2 + s / len * e * h; // The calculated offset (mid-point if |r| <= len)
+ }
+ }
+ }
+ else {
+ #if ENABLED(CNC_WORKSPACE_PLANES)
+ char achar, bchar;
+ switch (gcode.workspace_plane) {
+ default:
+ case GcodeSuite::PLANE_XY: achar = 'I'; bchar = 'J'; break;
+ case GcodeSuite::PLANE_YZ: achar = 'J'; bchar = 'K'; break;
+ case GcodeSuite::PLANE_ZX: achar = 'K'; bchar = 'I'; break;
+ }
+ #else
+ constexpr char achar = 'I', bchar = 'J';
+ #endif
+ if (parser.seenval(achar)) arc_offset.a = parser.value_linear_units();
+ if (parser.seenval(bchar)) arc_offset.b = parser.value_linear_units();
+ }
+
+ if (arc_offset) {
+
+ #if ENABLED(ARC_P_CIRCLES)
+ // P indicates number of circles to do
+ const int8_t circles_to_do = parser.byteval('P');
+ if (!WITHIN(circles_to_do, 0, 100))
+ SERIAL_ERROR_MSG(STR_ERR_ARC_ARGS);
+ #else
+ constexpr uint8_t circles_to_do = 0;
+ #endif
+
+ // Send the arc to the planner
+ plan_arc(destination, arc_offset, clockwise, circles_to_do);
+ reset_stepper_timeout();
+ }
+ else
+ SERIAL_ERROR_MSG(STR_ERR_ARC_ARGS);
+ }
+}
+
+#endif // ARC_SUPPORT