Move plan_arc next to prepare_move
This commit is contained in:
Scott Lahteine
Richard Wackerbarth
parent
5c5936508d
commit
e83eac312e
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@ -1887,148 +1887,6 @@ inline void gcode_G0_G1() {
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}
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}
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/**
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* Plan an arc in 2 dimensions
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*
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* The arc is approximated by generating many small linear segments.
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* The length of each segment is configured in MM_PER_ARC_SEGMENT (Default 1mm)
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* Arcs should only be made relatively large (over 5mm), as larger arcs with
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* larger segments will tend to be more efficient. Your slicer should have
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* options for G2/G3 arc generation. In future these options may be GCode tunable.
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*/
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void plan_arc(
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float target[NUM_AXIS], // Destination position
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float *offset, // Center of rotation relative to current_position
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uint8_t clockwise // Clockwise?
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) {
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float radius = hypot(offset[X_AXIS], offset[Y_AXIS]),
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center_axis0 = current_position[X_AXIS] + offset[X_AXIS],
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center_axis1 = current_position[Y_AXIS] + offset[Y_AXIS],
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linear_travel = target[Z_AXIS] - current_position[Z_AXIS],
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extruder_travel = target[E_AXIS] - current_position[E_AXIS],
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r_axis0 = -offset[X_AXIS], // Radius vector from center to current location
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r_axis1 = -offset[Y_AXIS],
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rt_axis0 = target[X_AXIS] - center_axis0,
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rt_axis1 = target[Y_AXIS] - center_axis1;
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// CCW angle of rotation between position and target from the circle center. Only one atan2() trig computation required.
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float angular_travel = atan2(r_axis0*rt_axis1-r_axis1*rt_axis0, r_axis0*rt_axis0+r_axis1*rt_axis1);
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if (angular_travel < 0) { angular_travel += RADIANS(360); }
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if (clockwise) { angular_travel -= RADIANS(360); }
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// Make a circle if the angular rotation is 0
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if (current_position[X_AXIS] == target[X_AXIS] && current_position[Y_AXIS] == target[Y_AXIS] && angular_travel == 0)
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angular_travel += RADIANS(360);
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float mm_of_travel = hypot(angular_travel*radius, fabs(linear_travel));
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if (mm_of_travel < 0.001) { return; }
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uint16_t segments = floor(mm_of_travel / MM_PER_ARC_SEGMENT);
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if (segments == 0) segments = 1;
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float theta_per_segment = angular_travel/segments;
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float linear_per_segment = linear_travel/segments;
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float extruder_per_segment = extruder_travel/segments;
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/* Vector rotation by transformation matrix: r is the original vector, r_T is the rotated vector,
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and phi is the angle of rotation. Based on the solution approach by Jens Geisler.
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r_T = [cos(phi) -sin(phi);
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sin(phi) cos(phi] * r ;
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For arc generation, the center of the circle is the axis of rotation and the radius vector is
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defined from the circle center to the initial position. Each line segment is formed by successive
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vector rotations. This requires only two cos() and sin() computations to form the rotation
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matrix for the duration of the entire arc. Error may accumulate from numerical round-off, since
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all double numbers are single precision on the Arduino. (True double precision will not have
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round off issues for CNC applications.) Single precision error can accumulate to be greater than
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tool precision in some cases. Therefore, arc path correction is implemented.
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Small angle approximation may be used to reduce computation overhead further. This approximation
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holds for everything, but very small circles and large MM_PER_ARC_SEGMENT values. In other words,
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theta_per_segment would need to be greater than 0.1 rad and N_ARC_CORRECTION would need to be large
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to cause an appreciable drift error. N_ARC_CORRECTION~=25 is more than small enough to correct for
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numerical drift error. N_ARC_CORRECTION may be on the order a hundred(s) before error becomes an
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issue for CNC machines with the single precision Arduino calculations.
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This approximation also allows plan_arc to immediately insert a line segment into the planner
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without the initial overhead of computing cos() or sin(). By the time the arc needs to be applied
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a correction, the planner should have caught up to the lag caused by the initial plan_arc overhead.
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This is important when there are successive arc motions.
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*/
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// Vector rotation matrix values
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float cos_T = 1-0.5*theta_per_segment*theta_per_segment; // Small angle approximation
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float sin_T = theta_per_segment;
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float arc_target[NUM_AXIS];
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float sin_Ti;
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float cos_Ti;
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float r_axisi;
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uint16_t i;
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int8_t count = 0;
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// Initialize the linear axis
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arc_target[Z_AXIS] = current_position[Z_AXIS];
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// Initialize the extruder axis
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arc_target[E_AXIS] = current_position[E_AXIS];
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float feed_rate = feedrate*feedrate_multiplier/60/100.0;
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for (i = 1; i < segments; i++) { // Increment (segments-1)
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if (count < N_ARC_CORRECTION) {
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// Apply vector rotation matrix to previous r_axis0 / 1
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r_axisi = r_axis0*sin_T + r_axis1*cos_T;
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r_axis0 = r_axis0*cos_T - r_axis1*sin_T;
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r_axis1 = r_axisi;
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count++;
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}
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else {
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// Arc correction to radius vector. Computed only every N_ARC_CORRECTION increments.
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// Compute exact location by applying transformation matrix from initial radius vector(=-offset).
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cos_Ti = cos(i*theta_per_segment);
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sin_Ti = sin(i*theta_per_segment);
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r_axis0 = -offset[X_AXIS]*cos_Ti + offset[Y_AXIS]*sin_Ti;
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r_axis1 = -offset[X_AXIS]*sin_Ti - offset[Y_AXIS]*cos_Ti;
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count = 0;
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}
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// Update arc_target location
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arc_target[X_AXIS] = center_axis0 + r_axis0;
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arc_target[Y_AXIS] = center_axis1 + r_axis1;
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arc_target[Z_AXIS] += linear_per_segment;
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arc_target[E_AXIS] += extruder_per_segment;
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clamp_to_software_endstops(arc_target);
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#if defined(DELTA) || defined(SCARA)
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calculate_delta(arc_target);
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#ifdef ENABLE_AUTO_BED_LEVELING
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adjust_delta(arc_target);
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#endif
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plan_buffer_line(delta[X_AXIS], delta[Y_AXIS], delta[Z_AXIS], arc_target[E_AXIS], feed_rate, active_extruder);
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#else
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plan_buffer_line(arc_target[X_AXIS], arc_target[Y_AXIS], arc_target[Z_AXIS], arc_target[E_AXIS], feed_rate, active_extruder);
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#endif
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}
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// Ensure last segment arrives at target location.
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#if defined(DELTA) || defined(SCARA)
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calculate_delta(target);
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#ifdef ENABLE_AUTO_BED_LEVELING
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adjust_delta(target);
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#endif
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plan_buffer_line(delta[X_AXIS], delta[Y_AXIS], delta[Z_AXIS], target[E_AXIS], feed_rate, active_extruder);
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#else
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plan_buffer_line(target[X_AXIS], target[Y_AXIS], target[Z_AXIS], target[E_AXIS], feed_rate, active_extruder);
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#endif
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// As far as the parser is concerned, the position is now == target. In reality the
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// motion control system might still be processing the action and the real tool position
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// in any intermediate location.
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set_current_to_destination();
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}
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/**
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* G2: Clockwise Arc
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* G3: Counterclockwise Arc
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@ -6229,6 +6087,148 @@ void prepare_move() {
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set_current_to_destination();
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}
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/**
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* Plan an arc in 2 dimensions
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*
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* The arc is approximated by generating many small linear segments.
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* The length of each segment is configured in MM_PER_ARC_SEGMENT (Default 1mm)
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* Arcs should only be made relatively large (over 5mm), as larger arcs with
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* larger segments will tend to be more efficient. Your slicer should have
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* options for G2/G3 arc generation. In future these options may be GCode tunable.
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*/
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void plan_arc(
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float target[NUM_AXIS], // Destination position
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float *offset, // Center of rotation relative to current_position
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uint8_t clockwise // Clockwise?
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) {
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float radius = hypot(offset[X_AXIS], offset[Y_AXIS]),
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center_axis0 = current_position[X_AXIS] + offset[X_AXIS],
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center_axis1 = current_position[Y_AXIS] + offset[Y_AXIS],
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linear_travel = target[Z_AXIS] - current_position[Z_AXIS],
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extruder_travel = target[E_AXIS] - current_position[E_AXIS],
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r_axis0 = -offset[X_AXIS], // Radius vector from center to current location
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r_axis1 = -offset[Y_AXIS],
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rt_axis0 = target[X_AXIS] - center_axis0,
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rt_axis1 = target[Y_AXIS] - center_axis1;
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// CCW angle of rotation between position and target from the circle center. Only one atan2() trig computation required.
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float angular_travel = atan2(r_axis0*rt_axis1-r_axis1*rt_axis0, r_axis0*rt_axis0+r_axis1*rt_axis1);
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if (angular_travel < 0) { angular_travel += RADIANS(360); }
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if (clockwise) { angular_travel -= RADIANS(360); }
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// Make a circle if the angular rotation is 0
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if (current_position[X_AXIS] == target[X_AXIS] && current_position[Y_AXIS] == target[Y_AXIS] && angular_travel == 0)
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angular_travel += RADIANS(360);
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float mm_of_travel = hypot(angular_travel*radius, fabs(linear_travel));
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if (mm_of_travel < 0.001) { return; }
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uint16_t segments = floor(mm_of_travel / MM_PER_ARC_SEGMENT);
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if (segments == 0) segments = 1;
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float theta_per_segment = angular_travel/segments;
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float linear_per_segment = linear_travel/segments;
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float extruder_per_segment = extruder_travel/segments;
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/* Vector rotation by transformation matrix: r is the original vector, r_T is the rotated vector,
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and phi is the angle of rotation. Based on the solution approach by Jens Geisler.
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r_T = [cos(phi) -sin(phi);
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sin(phi) cos(phi] * r ;
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For arc generation, the center of the circle is the axis of rotation and the radius vector is
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defined from the circle center to the initial position. Each line segment is formed by successive
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vector rotations. This requires only two cos() and sin() computations to form the rotation
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matrix for the duration of the entire arc. Error may accumulate from numerical round-off, since
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all double numbers are single precision on the Arduino. (True double precision will not have
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round off issues for CNC applications.) Single precision error can accumulate to be greater than
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tool precision in some cases. Therefore, arc path correction is implemented.
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Small angle approximation may be used to reduce computation overhead further. This approximation
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holds for everything, but very small circles and large MM_PER_ARC_SEGMENT values. In other words,
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theta_per_segment would need to be greater than 0.1 rad and N_ARC_CORRECTION would need to be large
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to cause an appreciable drift error. N_ARC_CORRECTION~=25 is more than small enough to correct for
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numerical drift error. N_ARC_CORRECTION may be on the order a hundred(s) before error becomes an
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issue for CNC machines with the single precision Arduino calculations.
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This approximation also allows plan_arc to immediately insert a line segment into the planner
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without the initial overhead of computing cos() or sin(). By the time the arc needs to be applied
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a correction, the planner should have caught up to the lag caused by the initial plan_arc overhead.
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This is important when there are successive arc motions.
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*/
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// Vector rotation matrix values
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float cos_T = 1-0.5*theta_per_segment*theta_per_segment; // Small angle approximation
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float sin_T = theta_per_segment;
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float arc_target[NUM_AXIS];
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float sin_Ti;
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float cos_Ti;
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float r_axisi;
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uint16_t i;
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int8_t count = 0;
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// Initialize the linear axis
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arc_target[Z_AXIS] = current_position[Z_AXIS];
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// Initialize the extruder axis
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arc_target[E_AXIS] = current_position[E_AXIS];
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float feed_rate = feedrate*feedrate_multiplier/60/100.0;
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for (i = 1; i < segments; i++) { // Increment (segments-1)
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if (count < N_ARC_CORRECTION) {
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// Apply vector rotation matrix to previous r_axis0 / 1
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r_axisi = r_axis0*sin_T + r_axis1*cos_T;
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r_axis0 = r_axis0*cos_T - r_axis1*sin_T;
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r_axis1 = r_axisi;
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count++;
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}
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else {
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// Arc correction to radius vector. Computed only every N_ARC_CORRECTION increments.
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// Compute exact location by applying transformation matrix from initial radius vector(=-offset).
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cos_Ti = cos(i*theta_per_segment);
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sin_Ti = sin(i*theta_per_segment);
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r_axis0 = -offset[X_AXIS]*cos_Ti + offset[Y_AXIS]*sin_Ti;
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r_axis1 = -offset[X_AXIS]*sin_Ti - offset[Y_AXIS]*cos_Ti;
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count = 0;
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}
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// Update arc_target location
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arc_target[X_AXIS] = center_axis0 + r_axis0;
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arc_target[Y_AXIS] = center_axis1 + r_axis1;
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arc_target[Z_AXIS] += linear_per_segment;
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arc_target[E_AXIS] += extruder_per_segment;
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clamp_to_software_endstops(arc_target);
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#if defined(DELTA) || defined(SCARA)
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calculate_delta(arc_target);
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#ifdef ENABLE_AUTO_BED_LEVELING
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adjust_delta(arc_target);
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#endif
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plan_buffer_line(delta[X_AXIS], delta[Y_AXIS], delta[Z_AXIS], arc_target[E_AXIS], feed_rate, active_extruder);
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#else
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plan_buffer_line(arc_target[X_AXIS], arc_target[Y_AXIS], arc_target[Z_AXIS], arc_target[E_AXIS], feed_rate, active_extruder);
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#endif
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}
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// Ensure last segment arrives at target location.
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#if defined(DELTA) || defined(SCARA)
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calculate_delta(target);
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#ifdef ENABLE_AUTO_BED_LEVELING
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adjust_delta(target);
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#endif
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plan_buffer_line(delta[X_AXIS], delta[Y_AXIS], delta[Z_AXIS], target[E_AXIS], feed_rate, active_extruder);
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#else
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plan_buffer_line(target[X_AXIS], target[Y_AXIS], target[Z_AXIS], target[E_AXIS], feed_rate, active_extruder);
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#endif
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// As far as the parser is concerned, the position is now == target. In reality the
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// motion control system might still be processing the action and the real tool position
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// in any intermediate location.
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set_current_to_destination();
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}
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#if HAS_CONTROLLERFAN
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void controllerFan() {
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