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+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Arc Welder: Marlin 1 arc interpolation simulator. Please see the copyright notices in the function definitions
+// starting with plan_arc_ for the original license.
+//
+// Converts G2/G3(arc) commands back to G0/G1 commands. Intended to test firmware changes to improve arc support.
+// This reduces file size and the number of gcodes per second.
+//
+// Built using the 'Arc Welder: Anti Stutter' library
+//
+// Copyright(C) 2021 - Brad Hochgesang
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// This program is free software : you can redistribute it and/or modify
+// it under the terms of the GNU Affero 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 Affero General Public License for more details.
+//
+//
+// You can contact the author at the following email address:
+// FormerLurker@pm.me
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+
+#include "marlin_1.h"
+#include "utilities.h"
+marlin_1::marlin_1(firmware_arguments args) : firmware(args) {
+ feedrate_mm_s = 0;
+ current_position = new float[MARLIN_XYZE];
+ apply_arguments();
+};
+
+marlin_1::~marlin_1()
+{
+ delete current_position;
+}
+
+void marlin_1::apply_arguments()
+{
+ static const std::vector<std::string> marlin_1_firmware_version_names{
+ "1.1.9.1"
+ };
+ set_versions(marlin_1_firmware_version_names, "1.1.9.1");
+ marlin_1_version_ = (marlin_1::marlin_1_firmware_versions)version_index_;
+ std::vector<std::string> used_arguments;
+ /* Add case statement if we ever add any additional firmware versions
+ switch (marlin_1_version_)
+ {
+ default:*/
+ plan_arc_ = &marlin_1::plan_arc_1_1_9_1;
+ used_arguments = { "mm_per_arc_segment", "n_arc_correction", "g90_g91_influences_extruder" };
+ //break;
+ //}
+
+ args_.set_used_arguments(used_arguments);
+}
+
+firmware_arguments marlin_1::get_default_arguments_for_current_version() const
+{
+ // Start off with the current args so they are set up correctly for this firmware type and version
+ firmware_arguments default_args = args_;
+
+ // firmware defaults
+ default_args.g90_g91_influences_extruder = false;
+ // Add the switch in here in case we want to add more versions.
+ //switch (marlin_1_version_)
+ //{
+ //default:
+ // Active Settings
+ default_args.mm_per_arc_segment = 1.0f;
+ default_args.min_arc_segments = 24;
+ default_args.n_arc_correction = 25;
+ // Inactive Settings
+ default_args.arc_segments_per_r = 0;
+ default_args.min_mm_per_arc_segment = 0;
+ default_args.arc_segments_per_sec = 0;
+ // Settings that do not apply
+ default_args.mm_max_arc_error = 0;
+ //break;
+ //}
+
+ return default_args;
+}
+
+std::string marlin_1::interpolate_arc(firmware_position& target, double i, double j, double r, bool is_clockwise)
+{
+ // Clear the current list of gcodes
+ gcodes_.clear();
+
+ // Setup the current position
+ current_position[X_AXIS] = static_cast<float>(position_.x);
+ current_position[Y_AXIS] = static_cast<float>(position_.y);
+ current_position[Z_AXIS] = static_cast<float>(position_.z);
+ current_position[E_AXIS] = static_cast<float>(position_.e);
+ float marlin_target[MARLIN_XYZE];
+ marlin_target[X_AXIS] = static_cast<float>(target.x);
+ marlin_target[Y_AXIS] = static_cast<float>(target.y);
+ marlin_target[Z_AXIS] = static_cast<float>(target.z);
+ marlin_target[E_AXIS] = static_cast<float>(target.e);
+ float marlin_offset[2];
+ marlin_offset[0] = static_cast<float>(i);
+ marlin_offset[1] = static_cast<float>(j);
+ // TODO: handle R form!!
+
+ // Set the feedrate
+ feedrate_mm_s = static_cast<float>(target.f);
+ uint8_t marlin_isclockwise = is_clockwise ? 1 : 0;
+
+ (this->*plan_arc_)(marlin_target, marlin_offset, marlin_isclockwise);
+
+ return gcodes_;
+}
+
+/// <summary>
+/// This function was adapted from the 1.1.9.1 release of Marlin firmware, which can be found at the following link:
+/// https://github.com/MarlinFirmware/Marlin/blob/1314b31d97bba8cd74c6625c47176d4692f57790/Marlin/Marlin_main.cpp
+/// Copyright Notice found on that page:
+///
+///
+/// Marlin 3D Printer Firmware
+/// Copyright (C) 2016, 2017 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 <http://www.gnu.org/licenses/>.
+/// </summary>
+/// <param name="cart">The target position</param>
+/// <param name="offset">The I and J offset</param>
+/// <param name="clockwise">Is the motion clockwise or counterclockwise</param>
+void marlin_1::plan_arc_1_1_9_1(const float(&cart)[MARLIN_XYZE], // Destination position
+ const float(&offset)[2], // Center of rotation relative to current_position
+ const bool clockwise // Clockwise?
+)
+{
+ // cnc workspace planes variables -- Note: This is NOT implemented, but is added for completeness in case it is in the future.
+ int active_extruder = 0;
+ AxisEnum p_axis, q_axis, l_axis;
+ p_axis = X_AXIS, q_axis = Y_AXIS, l_axis = Z_AXIS;
+
+
+ // Radius vector from center to current location
+ float r_P = -offset[0], r_Q = -offset[1];
+
+ const float radius = utilities::hypotf(r_P, r_Q),
+ center_P = current_position[p_axis] - r_P,
+ center_Q = current_position[q_axis] - r_Q,
+ rt_X = cart[p_axis] - center_P,
+ rt_Y = cart[q_axis] - center_Q,
+ linear_travel = cart[l_axis] - current_position[l_axis],
+ extruder_travel = cart[E_CART] - current_position[E_CART];
+
+ // CCW angle of rotation between position and target from the circle center. Only one atan2() trig computation required.
+ float angular_travel = (float)utilities::atan2((double)r_P * rt_Y - (double)r_Q * rt_X, (double)r_P * rt_X + (double)r_Q * rt_Y);
+ if (angular_travel < 0) angular_travel += utilities::radiansf(360.0f);
+ if (clockwise) angular_travel -= utilities::radiansf(360.0f);
+
+ // Make a circle if the angular rotation is 0 and the target is current position
+ if (angular_travel == 0 && current_position[p_axis] == cart[p_axis] && current_position[q_axis] == cart[q_axis])
+ angular_travel = utilities::radiansf(360.0f);
+
+ const float flat_mm = radius * angular_travel,
+ mm_of_travel = linear_travel ? utilities::hypotf(flat_mm, linear_travel) : utilities::absf(flat_mm);
+ if (mm_of_travel < 0.001f) return;
+
+ uint16_t segments = (uint16_t)utilities::floorf(mm_of_travel / (float)(args_.mm_per_arc_segment));
+ NOLESS(segments, 1);
+
+ /**
+ * 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
+ float raw[MARLIN_XYZE];
+ const float theta_per_segment = angular_travel / segments,
+ linear_per_segment = linear_travel / segments,
+ extruder_per_segment = extruder_travel / segments,
+ sin_T = theta_per_segment,
+ cos_T = 1 - 0.5f * utilities::sqf(theta_per_segment); // Small angle approximation
+
+ // Initialize the linear axis
+ raw[l_axis] = current_position[l_axis];
+
+ // Initialize the extruder axis
+ raw[E_CART] = current_position[E_CART];
+
+ const float fr_mm_s = MMS_SCALED(feedrate_mm_s);
+
+ int8_t arc_recalc_count = 0;
+ if (args_.n_arc_correction > 1)
+ {
+ arc_recalc_count = args_.n_arc_correction;
+ }
+
+
+ for (uint16_t i = 1; i < segments; i++) // Iterate (segments-1) times
+ {
+
+ if (args_.n_arc_correction > 1 && --arc_recalc_count)
+ {
+ // Apply vector rotation matrix to previous r_P / 1
+ const float r_new_Y = r_P * sin_T + r_Q * cos_T;
+ r_P = r_P * cos_T - r_Q * sin_T;
+ r_Q = r_new_Y;
+ }
+ else
+ {
+ if (args_.n_arc_correction > 1)
+ {
+ arc_recalc_count = args_.n_arc_correction;
+ }
+
+ // 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 = (float)utilities::cos(i * (double)theta_per_segment), sin_Ti = (float)utilities::sin(i * (double)theta_per_segment);
+ r_P = -offset[0] * cos_Ti + offset[1] * sin_Ti;
+ r_Q = -offset[0] * sin_Ti - offset[1] * cos_Ti;
+ }
+
+ // Update raw location
+ raw[p_axis] = center_P + r_P;
+ raw[q_axis] = center_Q + r_Q;
+ raw[l_axis] += linear_per_segment;
+ raw[E_CART] += extruder_per_segment;
+
+ clamp_to_software_endstops(raw);
+
+
+ if (!buffer_line_kinematic(raw, feedrate_mm_s, active_extruder))
+ break;
+ }
+
+ buffer_line_kinematic(cart, feedrate_mm_s, active_extruder);
+
+ COPY(current_position, cart);
+}
+
+void marlin_1::NOLESS(uint16_t &x, uint16_t y)
+{
+ if (x < y)
+ x = y;
+}
+
+float marlin_1::MMS_SCALED(float x)
+{
+ // No scaling
+ return x;
+}
+
+void marlin_1::COPY(float target[MARLIN_XYZE], const float(&source)[MARLIN_XYZE])
+{
+ // This is a slow copy, but speed isn't much of an issue here.
+ for (int i = 0; i < MARLIN_XYZE; i++)
+ {
+ target[i] = source[i];
+ }
+}
+
+
+void marlin_1::clamp_to_software_endstops(const float(&raw)[MARLIN_XYZE])
+{
+ // Do nothing, just added to keep mc_arc identical to the firmware version
+ return;
+}
+
+//void marlin::buffer_line_kinematic(float x, float y, float z, const float& e, float feed_rate, uint8_t extruder, const float* gcode_target)
+bool marlin_1::buffer_line_kinematic(const float(&cart)[MARLIN_XYZE], double fr_mm_s, int active_extruder)
+{
+
+ // create the target position
+ firmware_position target;
+ target.x = cart[AxisEnum::X_AXIS];
+ target.y = cart[AxisEnum::Y_AXIS];
+ target.z = cart[AxisEnum::Z_AXIS];
+ target.e = cart[AxisEnum::E_AXIS];
+ target.f = fr_mm_s;
+ if (gcodes_.size() > 0)
+ {
+ gcodes_ += "\n";
+ }
+ // Generate the gcode
+ gcodes_ += g1_command(target);
+
+ // update the current position
+ set_current_position(target);
+ return true;
+}