#define ymax_checksum CHECKSUM("y_max")
#define zmax_checksum CHECKSUM("z_max")
-
-#define ARC_ANGULAR_TRAVEL_EPSILON 5E-7F // Float (radians)
#define PI 3.14159265358979323846F // force to be float, do not use M_PI
// The Robot converts GCodes into actual movements, and then adds them to the Planner, which passes them to the Conveyor so they can be added to the queue
break;
}
+ // needed to act as start of next arc command
+ memcpy(arc_milestone, target, sizeof(arc_milestone));
+
if(moved) {
// set machine_position to the calculated target
memcpy(machine_position, target, n_motors*sizeof(float));
if(!is_homed(i)) continue;
if( (!isnan(soft_endstop_min[i]) && transformed_target[i] < soft_endstop_min[i]) || (!isnan(soft_endstop_max[i]) && transformed_target[i] > soft_endstop_max[i]) ) {
if(soft_endstop_halt) {
- THEKERNEL->streams->printf("Soft Endstop %c was exceeded - reset or M999 required\n", i+'X');
+ if(THEKERNEL->is_grbl_mode()) {
+ THEKERNEL->streams->printf("error: ");
+ }else{
+ THEKERNEL->streams->printf("Error: ");
+ }
+
+ THEKERNEL->streams->printf("Soft Endstop %c was exceeded - reset or $X or M999 required\n", i+'X');
THEKERNEL->call_event(ON_HALT, nullptr);
return false;
} else {
// ignore it
- THEKERNEL->streams->printf("WARNING Soft Endstop %c was exceeded - entire move ignored\n", i+'X');
+ if(THEKERNEL->is_grbl_mode()) {
+ THEKERNEL->streams->printf("error: ");
+ }else{
+ THEKERNEL->streams->printf("Error: ");
+ }
+ THEKERNEL->streams->printf("Soft Endstop %c was exceeded - entire move ignored\n", i+'X');
return false;
}
}
}
// Scary math
- float center_axis0 = this->machine_position[this->plane_axis_0] + offset[this->plane_axis_0];
- float center_axis1 = this->machine_position[this->plane_axis_1] + offset[this->plane_axis_1];
- float linear_travel = target[this->plane_axis_2] - this->machine_position[this->plane_axis_2];
- float r_axis0 = -offset[this->plane_axis_0]; // Radius vector from center to current location
+ float center_axis0 = this->arc_milestone[this->plane_axis_0] + offset[this->plane_axis_0];
+ float center_axis1 = this->arc_milestone[this->plane_axis_1] + offset[this->plane_axis_1];
+ float linear_travel = target[this->plane_axis_2] - this->arc_milestone[this->plane_axis_2];
+ float r_axis0 = -offset[this->plane_axis_0]; // Radius vector from center to start position
float r_axis1 = -offset[this->plane_axis_1];
- float rt_axis0 = target[this->plane_axis_0] - center_axis0;
- float rt_axis1 = target[this->plane_axis_1] - center_axis1;
-
- // Patch from GRBL Firmware - Christoph Baumann 04072015
- // CCW angle between position and target from circle center. Only one atan2() trig computation required.
- float angular_travel = atan2f(r_axis0 * rt_axis1 - r_axis1 * rt_axis0, r_axis0 * rt_axis0 + r_axis1 * rt_axis1);
- if (plane_axis_2 == Y_AXIS) { is_clockwise = !is_clockwise; } //Math for XZ plane is revere of other 2 planes
- if (is_clockwise) { // Correct atan2 output per direction
- if (angular_travel >= -ARC_ANGULAR_TRAVEL_EPSILON) { angular_travel -= (2 * PI); }
+ float rt_axis0 = target[this->plane_axis_0] - this->arc_milestone[this->plane_axis_0] - offset[this->plane_axis_0]; // Radius vector from center to target position
+ float rt_axis1 = target[this->plane_axis_1] - this->arc_milestone[this->plane_axis_1] - offset[this->plane_axis_1];
+ float angular_travel = 0;
+ //check for condition where atan2 formula will fail due to everything canceling out exactly
+ if((this->arc_milestone[this->plane_axis_0]==target[this->plane_axis_0]) && (this->arc_milestone[this->plane_axis_1]==target[this->plane_axis_1])) {
+ if (is_clockwise) { // set angular_travel to -2pi for a clockwise full circle
+ angular_travel = (-2 * PI);
+ } else { // set angular_travel to 2pi for a counterclockwise full circle
+ angular_travel = (2 * PI);
+ }
} else {
- if (angular_travel <= ARC_ANGULAR_TRAVEL_EPSILON) { angular_travel += (2 * PI); }
+ // Patch from GRBL Firmware - Christoph Baumann 04072015
+ // CCW angle between position and target from circle center. Only one atan2() trig computation required.
+ // Only run if not a full circle or angular travel will incorrectly result in 0.0f
+ angular_travel = atan2f(r_axis0 * rt_axis1 - r_axis1 * rt_axis0, r_axis0 * rt_axis0 + r_axis1 * rt_axis1);
+ if (plane_axis_2 == Y_AXIS) { is_clockwise = !is_clockwise; } //Math for XZ plane is reverse of other 2 planes
+ if (is_clockwise) { // adjust angular_travel to be in the range of -2pi to 0 for clockwise arcs
+ if (angular_travel > 0) { angular_travel -= (2 * PI); }
+ } else { // adjust angular_travel to be in the range of 0 to 2pi for counterclockwise arcs
+ if (angular_travel < 0) { angular_travel += (2 * PI); }
+ }
}
// Find the distance for this gcode
float millimeters_of_travel = hypotf(angular_travel * radius, fabsf(linear_travel));
// We don't care about non-XYZ moves ( for example the extruder produces some of those )
- if( millimeters_of_travel < 0.00001F ) {
+ if( millimeters_of_travel < 0.000001F ) {
return false;
}
arc_segment = min_err_segment;
}
}
+
+ // catch fall through on above
+ if(arc_segment < 0.0001F) {
+ arc_segment= 0.5F; /// the old default, so we avoid the divide by zero
+ }
+
// Figure out how many segments for this gcode
// TODO for deltas we need to make sure we are at least as many segments as requested, also if mm_per_line_segment is set we need to use the
- uint16_t segments = ceilf(millimeters_of_travel / arc_segment);
-
- //printf("Radius %f - Segment Length %f - Number of Segments %d\r\n",radius,arc_segment,segments); // Testing Purposes ONLY
- float theta_per_segment = angular_travel / segments;
- float linear_per_segment = linear_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 float numbers are single precision on the Arduino. (True float 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 mc_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 mc_arc overhead.
- This is important when there are successive arc motions.
- */
- // Vector rotation matrix values
- float cos_T = 1 - 0.5F * theta_per_segment * theta_per_segment; // Small angle approximation
- float sin_T = theta_per_segment;
+ uint16_t segments = floorf(millimeters_of_travel / arc_segment);
+ bool moved= false;
- // TODO we need to handle the ABC axis here by segmenting them
- float arc_target[n_motors];
- float sin_Ti;
- float cos_Ti;
- float r_axisi;
- uint16_t i;
- int8_t count = 0;
+ if(segments > 1) {
+ float theta_per_segment = angular_travel / segments;
+ float linear_per_segment = linear_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 float numbers are single precision on the Arduino. (True float 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 mc_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 mc_arc overhead.
+ This is important when there are successive arc motions.
+ */
+ // Vector rotation matrix values
+ float cos_T = 1 - 0.5F * theta_per_segment * theta_per_segment; // Small angle approximation
+ float sin_T = theta_per_segment;
+
+ // TODO we need to handle the ABC axis here by segmenting them
+ float arc_target[n_motors];
+ float sin_Ti;
+ float cos_Ti;
+ float r_axisi;
+ uint16_t i;
+ int8_t count = 0;
+
+ // init array for all axis
+ memcpy(arc_target, machine_position, n_motors*sizeof(float));
+
+ // Initialize the linear axis
+ arc_target[this->plane_axis_2] = this->machine_position[this->plane_axis_2];
+
+ for (i = 1; i < segments; i++) { // Increment (segments-1)
+ if(THEKERNEL->is_halted()) return false; // don't queue any more segments
- // init array for all axis
- memcpy(arc_target, machine_position, n_motors*sizeof(float));
+ if (count < this->arc_correction ) {
+ // Apply vector rotation matrix
+ r_axisi = r_axis0 * sin_T + r_axis1 * cos_T;
+ r_axis0 = r_axis0 * cos_T - r_axis1 * sin_T;
+ r_axis1 = r_axisi;
+ count++;
+ } else {
+ // Arc correction to radius vector. Computed only every N_ARC_CORRECTION increments.
+ // Compute exact location by applying transformation matrix from initial radius vector(=-offset).
+ cos_Ti = cosf(i * theta_per_segment);
+ sin_Ti = sinf(i * theta_per_segment);
+ r_axis0 = -offset[this->plane_axis_0] * cos_Ti + offset[this->plane_axis_1] * sin_Ti;
+ r_axis1 = -offset[this->plane_axis_0] * sin_Ti - offset[this->plane_axis_1] * cos_Ti;
+ count = 0;
+ }
- // Initialize the linear axis
- arc_target[this->plane_axis_2] = this->machine_position[this->plane_axis_2];
+ // Update arc_target location
+ arc_target[this->plane_axis_0] = center_axis0 + r_axis0;
+ arc_target[this->plane_axis_1] = center_axis1 + r_axis1;
+ arc_target[this->plane_axis_2] += linear_per_segment;
- bool moved= false;
- for (i = 1; i < segments; i++) { // Increment (segments-1)
- if(THEKERNEL->is_halted()) return false; // don't queue any more segments
-
- if (count < this->arc_correction ) {
- // Apply vector rotation matrix
- r_axisi = r_axis0 * sin_T + r_axis1 * cos_T;
- r_axis0 = r_axis0 * cos_T - r_axis1 * sin_T;
- r_axis1 = r_axisi;
- count++;
- } else {
- // Arc correction to radius vector. Computed only every N_ARC_CORRECTION increments.
- // Compute exact location by applying transformation matrix from initial radius vector(=-offset).
- cos_Ti = cosf(i * theta_per_segment);
- sin_Ti = sinf(i * theta_per_segment);
- r_axis0 = -offset[this->plane_axis_0] * cos_Ti + offset[this->plane_axis_1] * sin_Ti;
- r_axis1 = -offset[this->plane_axis_0] * sin_Ti - offset[this->plane_axis_1] * cos_Ti;
- count = 0;
+ // Append this segment to the queue
+ bool b= this->append_milestone(arc_target, rate_mm_s);
+ moved= moved || b;
}
-
- // Update arc_target location
- arc_target[this->plane_axis_0] = center_axis0 + r_axis0;
- arc_target[this->plane_axis_1] = center_axis1 + r_axis1;
- arc_target[this->plane_axis_2] += linear_per_segment;
-
- // Append this segment to the queue
- bool b= this->append_milestone(arc_target, rate_mm_s);
- moved= moved || b;
}
// Ensure last segment arrives at target location.