First arcs version. (Arcs not working ok)

This commit is contained in:
Erik van der Zalm 2011-11-06 12:39:00 +01:00
parent 2e8e8878e5
commit 0b82465168
4 changed files with 1784 additions and 1479 deletions

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@ -1,245 +1,248 @@
#ifndef CONFIGURATION_H
#define CONFIGURATION_H
//#define DEBUG_STEPS
// BASIC SETTINGS: select your board type, thermistor type, axis scaling, and endstop configuration
//// The following define selects which electronics board you have. Please choose the one that matches your setup
// MEGA/RAMPS up to 1.2 = 3,
// RAMPS 1.3 = 33
// Gen6 = 5,
// Sanguinololu 1.2 and above = 62
// Ultimaker = 7,
#define MOTHERBOARD 7
//#define MOTHERBOARD 5
//// Thermistor settings:
// 1 is 100k thermistor
// 2 is 200k thermistor
// 3 is mendel-parts thermistor
// 4 is 10k thermistor
// 5 is ParCan supplied 104GT-2 100K
// 6 is EPCOS 100k
// 7 is 100k Honeywell thermistor 135-104LAG-J01
#define THERMISTORHEATER_1 3
#define THERMISTORHEATER_2 3
#define THERMISTORBED 3
//#define HEATER_0_USES_THERMISTOR
//#define HEATER_1_USES_THERMISTOR
#define HEATER_0_USES_AD595
//#define HEATER_1_USES_AD595
// Select one of these only to define how the bed temp is read.
//#define BED_USES_THERMISTOR
//#define BED_USES_AD595
#define HEATER_CHECK_INTERVAL 50
#define BED_CHECK_INTERVAL 5000
//// Endstop Settings
#define ENDSTOPPULLUPS // Comment this out (using // at the start of the line) to disable the endstop pullup resistors
// The pullups are needed if you directly connect a mechanical endswitch between the signal and ground pins.
const bool ENDSTOPS_INVERTING = true; // set to true to invert the logic of the endstops.
// For optos H21LOB set to true, for Mendel-Parts newer optos TCST2103 set to false
// This determines the communication speed of the printer
#define BAUDRATE 250000
//#define BAUDRATE 115200
//#define BAUDRATE 230400
// Comment out (using // at the start of the line) to disable SD support:
// #define ULTRA_LCD //any lcd
#define ULTIPANEL
#define ULTIPANEL
#ifdef ULTIPANEL
//#define NEWPANEL //enable this if you have a click-encoder panel
#define SDSUPPORT
#define ULTRA_LCD
#define LCD_WIDTH 20
#define LCD_HEIGHT 4
#else //no panel but just lcd
#ifdef ULTRA_LCD
#define LCD_WIDTH 16
#define LCD_HEIGHT 2
#endif
#endif
//#define SDSUPPORT // Enable SD Card Support in Hardware Console
const int dropsegments=5; //everything with this number of steps will be ignored as move
//// ADVANCED SETTINGS - to tweak parameters
#include "thermistortables.h"
// For Inverting Stepper Enable Pins (Active Low) use 0, Non Inverting (Active High) use 1
#define X_ENABLE_ON 0
#define Y_ENABLE_ON 0
#define Z_ENABLE_ON 0
#define E_ENABLE_ON 0
// Disables axis when it's not being used.
#define DISABLE_X false
#define DISABLE_Y false
#define DISABLE_Z false
#define DISABLE_E false
// Inverting axis direction
#define INVERT_X_DIR true // for Mendel set to false, for Orca set to true
#define INVERT_Y_DIR false // for Mendel set to true, for Orca set to false
#define INVERT_Z_DIR true // for Mendel set to false, for Orca set to true
#define INVERT_E_DIR false // for direct drive extruder v9 set to true, for geared extruder set to false
//// ENDSTOP SETTINGS:
// Sets direction of endstops when homing; 1=MAX, -1=MIN
#define X_HOME_DIR -1
#define Y_HOME_DIR -1
#define Z_HOME_DIR -1
#define min_software_endstops false //If true, axis won't move to coordinates less than zero.
#define max_software_endstops false //If true, axis won't move to coordinates greater than the defined lengths below.
#define X_MAX_LENGTH 210
#define Y_MAX_LENGTH 210
#define Z_MAX_LENGTH 210
//// MOVEMENT SETTINGS
#define NUM_AXIS 4 // The axis order in all axis related arrays is X, Y, Z, E
//note: on bernhards ultimaker 200 200 12 are working well.
#define HOMING_FEEDRATE {50*60, 50*60, 12*60, 0} // set the homing speeds
//the followint checks if an extrusion is existent in the move. if _not_, the speed of the move is set to the maximum speed.
//!!!!!!Use only if you know that your printer works at the maximum declared speeds.
// works around the skeinforge cool-bug. There all moves are slowed to have a minimum layer time. However slow travel moves= ooze
#define TRAVELING_AT_MAXSPEED
#define AXIS_RELATIVE_MODES {false, false, false, false}
#define MAX_STEP_FREQUENCY 40000 // Max step frequency for Ultimaker (5000 pps / half step)
// default settings
#define DEFAULT_AXIS_STEPS_PER_UNIT {79.87220447,79.87220447,200*8/3,14} // default steps per unit for ultimaker
#define DEFAULT_MAX_FEEDRATE {160*60, 160*60, 10*60, 500000}
#define DEFAULT_MAX_ACCELERATION {9000,9000,150,10000} // X, Y, Z, E maximum start speed for accelerated moves. E default values are good for skeinforge 40+, for older versions raise them a lot.
#define DEFAULT_ACCELERATION 3000 // X, Y, Z and E max acceleration in mm/s^2 for printing moves
#define DEFAULT_RETRACT_ACCELERATION 7000 // X, Y, Z and E max acceleration in mm/s^2 for r retracts
#define DEFAULT_MINIMUMFEEDRATE 10 // minimum feedrate
#define DEFAULT_MINTRAVELFEEDRATE 10
// minimum time in microseconds that a movement needs to take if the buffer is emptied. Increase this number if you see blobs while printing high speed & high detail. It will slowdown on the detailed stuff.
#define DEFAULT_MINSEGMENTTIME 20000
#define DEFAULT_XYJERK 30.0*60
#define DEFAULT_ZJERK 10.0*60
// The watchdog waits for the watchperiod in milliseconds whenever an M104 or M109 increases the target temperature
//this enables the watchdog interrupt.
#define USE_WATCHDOG
//you cannot reboot on a mega2560 due to a bug in he bootloader. Hence, you have to reset manually, and this is done hereby:
#define RESET_MANUAL
#define WATCHDOG_TIMEOUT 4
//// Experimental watchdog and minimal temp
// The watchdog waits for the watchperiod in milliseconds whenever an M104 or M109 increases the target temperature
// If the temperature has not increased at the end of that period, the target temperature is set to zero. It can be reset with another M104/M109
//#define WATCHPERIOD 5000 //5 seconds
// Actual temperature must be close to target for this long before M109 returns success
//#define TEMP_RESIDENCY_TIME 20 // (seconds)
//#define TEMP_HYSTERESIS 5 // (C°) range of +/- temperatures considered "close" to the target one
//// The minimal temperature defines the temperature below which the heater will not be enabled
#define HEATER_0_MINTEMP 5
//#define HEATER_1_MINTEMP 5
//#define BED_MINTEMP 5
// When temperature exceeds max temp, your heater will be switched off.
// This feature exists to protect your hotend from overheating accidentally, but *NOT* from thermistor short/failure!
// You should use MINTEMP for thermistor short/failure protection.
#define HEATER_0_MAXTEMP 275
//#define_HEATER_1_MAXTEMP 275
//#define BED_MAXTEMP 150
#define PIDTEMP
#ifdef PIDTEMP
/// PID settings:
// Uncomment the following line to enable PID support.
//#define SMOOTHING
//#define SMOOTHFACTOR 5.0
//float current_raw_average=0;
#define K1 0.95 //smoothing of the PID
//#define PID_DEBUG // Sends debug data to the serial port.
//#define PID_OPENLOOP 1 // Puts PID in open loop. M104 sets the output power in %
#define PID_MAX 255 // limits current to nozzle
#define PID_INTEGRAL_DRIVE_MAX 255
#define PID_dT 0.1
//machine with red silicon: 1950:45 second ; with fan fully blowin 3000:47
#define PID_CRITIAL_GAIN 3000
#define PID_SWING_AT_CRITIAL 45 //seconds
#define PIDIADD 5
/*
//PID according to Ziegler-Nichols method
float Kp = 0.6*PID_CRITIAL_GAIN;
float Ki =PIDIADD+2*Kp/PID_SWING_AT_CRITIAL*PID_dT;
float Kd = Kp*PID_SWING_AT_CRITIAL/8./PID_dT;
*/
//PI according to Ziegler-Nichols method
#define DEFAULT_Kp (PID_CRITIAL_GAIN/2.2)
#define DEFAULT_Ki (1.2*Kp/PID_SWING_AT_CRITIAL*PID_dT)
#define DEFAULT_Kd (0)
#define PID_ADD_EXTRUSION_RATE
#ifdef PID_ADD_EXTRUSION_RATE
#define DEFAULT_Kc (5) //heatingpower=Kc*(e_speed)
#endif
#endif // PIDTEMP
// extruder advance constant (s2/mm3)
//
// advance (steps) = STEPS_PER_CUBIC_MM_E * EXTUDER_ADVANCE_K * cubic mm per second ^ 2
//
// hooke's law says: force = k * distance
// bernoulli's priniciple says: v ^ 2 / 2 + g . h + pressure / density = constant
// so: v ^ 2 is proportional to number of steps we advance the extruder
//#define ADVANCE
#ifdef ADVANCE
#define EXTRUDER_ADVANCE_K .3
#define D_FILAMENT 1.7
#define STEPS_MM_E 65
#define EXTRUTION_AREA (0.25 * D_FILAMENT * D_FILAMENT * 3.14159)
#define STEPS_PER_CUBIC_MM_E (axis_steps_per_unit[E_AXIS]/ EXTRUTION_AREA)
#endif // ADVANCE
// THE BLOCK_BUFFER_SIZE NEEDS TO BE A POWER OF 2, e.g. 8,16,32
#if defined SDSUPPORT
// The number of linear motions that can be in the plan at any give time.
#define BLOCK_BUFFER_SIZE 16 // SD,LCD,Buttons take more memory, block buffer needs to be smaller
#else
#define BLOCK_BUFFER_SIZE 16 // maximize block buffer
#endif
#endif
#ifndef CONFIGURATION_H
#define CONFIGURATION_H
//#define DEBUG_STEPS
#define MM_PER_ARC_SEGMENT 1
#define N_ARC_CORRECTION 25
// BASIC SETTINGS: select your board type, thermistor type, axis scaling, and endstop configuration
//// The following define selects which electronics board you have. Please choose the one that matches your setup
// MEGA/RAMPS up to 1.2 = 3,
// RAMPS 1.3 = 33
// Gen6 = 5,
// Sanguinololu 1.2 and above = 62
// Ultimaker = 7,
#define MOTHERBOARD 7
//#define MOTHERBOARD 5
//// Thermistor settings:
// 1 is 100k thermistor
// 2 is 200k thermistor
// 3 is mendel-parts thermistor
// 4 is 10k thermistor
// 5 is ParCan supplied 104GT-2 100K
// 6 is EPCOS 100k
// 7 is 100k Honeywell thermistor 135-104LAG-J01
#define THERMISTORHEATER_1 3
#define THERMISTORHEATER_2 3
#define THERMISTORBED 3
//#define HEATER_0_USES_THERMISTOR
//#define HEATER_1_USES_THERMISTOR
#define HEATER_0_USES_AD595
//#define HEATER_1_USES_AD595
// Select one of these only to define how the bed temp is read.
//#define BED_USES_THERMISTOR
//#define BED_USES_AD595
#define HEATER_CHECK_INTERVAL 50
#define BED_CHECK_INTERVAL 5000
//// Endstop Settings
#define ENDSTOPPULLUPS // Comment this out (using // at the start of the line) to disable the endstop pullup resistors
// The pullups are needed if you directly connect a mechanical endswitch between the signal and ground pins.
const bool ENDSTOPS_INVERTING = true; // set to true to invert the logic of the endstops.
// For optos H21LOB set to true, for Mendel-Parts newer optos TCST2103 set to false
// This determines the communication speed of the printer
#define BAUDRATE 250000
//#define BAUDRATE 115200
//#define BAUDRATE 230400
// Comment out (using // at the start of the line) to disable SD support:
// #define ULTRA_LCD //any lcd
#define ULTIPANEL
#define ULTIPANEL
#ifdef ULTIPANEL
//#define NEWPANEL //enable this if you have a click-encoder panel
#define SDSUPPORT
#define ULTRA_LCD
#define LCD_WIDTH 20
#define LCD_HEIGHT 4
#else //no panel but just lcd
#ifdef ULTRA_LCD
#define LCD_WIDTH 16
#define LCD_HEIGHT 2
#endif
#endif
//#define SDSUPPORT // Enable SD Card Support in Hardware Console
const int dropsegments=5; //everything with this number of steps will be ignored as move
//// ADVANCED SETTINGS - to tweak parameters
#include "thermistortables.h"
// For Inverting Stepper Enable Pins (Active Low) use 0, Non Inverting (Active High) use 1
#define X_ENABLE_ON 0
#define Y_ENABLE_ON 0
#define Z_ENABLE_ON 0
#define E_ENABLE_ON 0
// Disables axis when it's not being used.
#define DISABLE_X false
#define DISABLE_Y false
#define DISABLE_Z false
#define DISABLE_E false
// Inverting axis direction
#define INVERT_X_DIR true // for Mendel set to false, for Orca set to true
#define INVERT_Y_DIR false // for Mendel set to true, for Orca set to false
#define INVERT_Z_DIR true // for Mendel set to false, for Orca set to true
#define INVERT_E_DIR false // for direct drive extruder v9 set to true, for geared extruder set to false
//// ENDSTOP SETTINGS:
// Sets direction of endstops when homing; 1=MAX, -1=MIN
#define X_HOME_DIR -1
#define Y_HOME_DIR -1
#define Z_HOME_DIR -1
#define min_software_endstops false //If true, axis won't move to coordinates less than zero.
#define max_software_endstops false //If true, axis won't move to coordinates greater than the defined lengths below.
#define X_MAX_LENGTH 210
#define Y_MAX_LENGTH 210
#define Z_MAX_LENGTH 210
//// MOVEMENT SETTINGS
#define NUM_AXIS 4 // The axis order in all axis related arrays is X, Y, Z, E
//note: on bernhards ultimaker 200 200 12 are working well.
#define HOMING_FEEDRATE {50*60, 50*60, 12*60, 0} // set the homing speeds
//the followint checks if an extrusion is existent in the move. if _not_, the speed of the move is set to the maximum speed.
//!!!!!!Use only if you know that your printer works at the maximum declared speeds.
// works around the skeinforge cool-bug. There all moves are slowed to have a minimum layer time. However slow travel moves= ooze
#define TRAVELING_AT_MAXSPEED
#define AXIS_RELATIVE_MODES {false, false, false, false}
#define MAX_STEP_FREQUENCY 40000 // Max step frequency for Ultimaker (5000 pps / half step)
// default settings
#define DEFAULT_AXIS_STEPS_PER_UNIT {79.87220447,79.87220447,200*8/3,14} // default steps per unit for ultimaker
#define DEFAULT_MAX_FEEDRATE {160*60, 160*60, 10*60, 500000}
#define DEFAULT_MAX_ACCELERATION {9000,9000,150,10000} // X, Y, Z, E maximum start speed for accelerated moves. E default values are good for skeinforge 40+, for older versions raise them a lot.
#define DEFAULT_ACCELERATION 3000 // X, Y, Z and E max acceleration in mm/s^2 for printing moves
#define DEFAULT_RETRACT_ACCELERATION 7000 // X, Y, Z and E max acceleration in mm/s^2 for r retracts
#define DEFAULT_MINIMUMFEEDRATE 10 // minimum feedrate
#define DEFAULT_MINTRAVELFEEDRATE 10
// minimum time in microseconds that a movement needs to take if the buffer is emptied. Increase this number if you see blobs while printing high speed & high detail. It will slowdown on the detailed stuff.
#define DEFAULT_MINSEGMENTTIME 20000
#define DEFAULT_XYJERK 30.0*60
#define DEFAULT_ZJERK 10.0*60
// The watchdog waits for the watchperiod in milliseconds whenever an M104 or M109 increases the target temperature
//this enables the watchdog interrupt.
#define USE_WATCHDOG
//you cannot reboot on a mega2560 due to a bug in he bootloader. Hence, you have to reset manually, and this is done hereby:
#define RESET_MANUAL
#define WATCHDOG_TIMEOUT 4
//// Experimental watchdog and minimal temp
// The watchdog waits for the watchperiod in milliseconds whenever an M104 or M109 increases the target temperature
// If the temperature has not increased at the end of that period, the target temperature is set to zero. It can be reset with another M104/M109
//#define WATCHPERIOD 5000 //5 seconds
// Actual temperature must be close to target for this long before M109 returns success
//#define TEMP_RESIDENCY_TIME 20 // (seconds)
//#define TEMP_HYSTERESIS 5 // (C°) range of +/- temperatures considered "close" to the target one
//// The minimal temperature defines the temperature below which the heater will not be enabled
#define HEATER_0_MINTEMP 5
//#define HEATER_1_MINTEMP 5
//#define BED_MINTEMP 5
// When temperature exceeds max temp, your heater will be switched off.
// This feature exists to protect your hotend from overheating accidentally, but *NOT* from thermistor short/failure!
// You should use MINTEMP for thermistor short/failure protection.
#define HEATER_0_MAXTEMP 275
//#define_HEATER_1_MAXTEMP 275
//#define BED_MAXTEMP 150
#define PIDTEMP
#ifdef PIDTEMP
/// PID settings:
// Uncomment the following line to enable PID support.
//#define SMOOTHING
//#define SMOOTHFACTOR 5.0
//float current_raw_average=0;
#define K1 0.95 //smoothing of the PID
//#define PID_DEBUG // Sends debug data to the serial port.
//#define PID_OPENLOOP 1 // Puts PID in open loop. M104 sets the output power in %
#define PID_MAX 255 // limits current to nozzle
#define PID_INTEGRAL_DRIVE_MAX 255
#define PID_dT 0.1
//machine with red silicon: 1950:45 second ; with fan fully blowin 3000:47
#define PID_CRITIAL_GAIN 3000
#define PID_SWING_AT_CRITIAL 45 //seconds
#define PIDIADD 5
/*
//PID according to Ziegler-Nichols method
float Kp = 0.6*PID_CRITIAL_GAIN;
float Ki =PIDIADD+2*Kp/PID_SWING_AT_CRITIAL*PID_dT;
float Kd = Kp*PID_SWING_AT_CRITIAL/8./PID_dT;
*/
//PI according to Ziegler-Nichols method
#define DEFAULT_Kp (PID_CRITIAL_GAIN/2.2)
#define DEFAULT_Ki (1.2*Kp/PID_SWING_AT_CRITIAL*PID_dT)
#define DEFAULT_Kd (0)
#define PID_ADD_EXTRUSION_RATE
#ifdef PID_ADD_EXTRUSION_RATE
#define DEFAULT_Kc (5) //heatingpower=Kc*(e_speed)
#endif
#endif // PIDTEMP
// extruder advance constant (s2/mm3)
//
// advance (steps) = STEPS_PER_CUBIC_MM_E * EXTUDER_ADVANCE_K * cubic mm per second ^ 2
//
// hooke's law says: force = k * distance
// bernoulli's priniciple says: v ^ 2 / 2 + g . h + pressure / density = constant
// so: v ^ 2 is proportional to number of steps we advance the extruder
//#define ADVANCE
#ifdef ADVANCE
#define EXTRUDER_ADVANCE_K .3
#define D_FILAMENT 1.7
#define STEPS_MM_E 65
#define EXTRUTION_AREA (0.25 * D_FILAMENT * D_FILAMENT * 3.14159)
#define STEPS_PER_CUBIC_MM_E (axis_steps_per_unit[E_AXIS]/ EXTRUTION_AREA)
#endif // ADVANCE
// THE BLOCK_BUFFER_SIZE NEEDS TO BE A POWER OF 2, e.g. 8,16,32
#if defined SDSUPPORT
// The number of linear motions that can be in the plan at any give time.
#define BLOCK_BUFFER_SIZE 16 // SD,LCD,Buttons take more memory, block buffer needs to be smaller
#else
#define BLOCK_BUFFER_SIZE 16 // maximize block buffer
#endif
#endif

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/*
motion_control.c - high level interface for issuing motion commands
Part of Grbl
Copyright (c) 2009-2011 Simen Svale Skogsrud
Copyright (c) 2011 Sungeun K. Jeon
Grbl 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.
Grbl 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 Grbl. If not, see <http://www.gnu.org/licenses/>.
*/
//#include "motion_control.h"
#include "Configuration.h"
#include "Marlin.h"
//#include <util/delay.h>
//#include <math.h>
//#include <stdlib.h>
#include "stepper.h"
#include "planner.h"
// The arc is approximated by generating a huge number of tiny, linear segments. The length of each
// segment is configured in settings.mm_per_arc_segment.
void mc_arc(float *position, float *target, float *offset, uint8_t axis_0, uint8_t axis_1,
uint8_t axis_linear, float feed_rate, float radius, uint8_t isclockwise)
{
// int acceleration_manager_was_enabled = plan_is_acceleration_manager_enabled();
// plan_set_acceleration_manager_enabled(false); // disable acceleration management for the duration of the arc
Serial.println("mc_arc");
float center_axis0 = position[axis_0] + offset[axis_0];
float center_axis1 = position[axis_1] + offset[axis_1];
float linear_travel = target[axis_linear] - position[axis_linear];
float r_axis0 = -offset[axis_0]; // Radius vector from center to current location
float r_axis1 = -offset[axis_1];
float rt_axis0 = target[axis_0] - center_axis0;
float rt_axis1 = target[axis_1] - center_axis1;
// CCW angle between position and target from circle center. Only one atan2() trig computation required.
float angular_travel = atan2(r_axis0*rt_axis1-r_axis1*rt_axis0, r_axis0*rt_axis0+r_axis1*rt_axis1);
if (angular_travel < 0) { angular_travel += 2*M_PI; }
if (isclockwise) { angular_travel -= 2*M_PI; }
float millimeters_of_travel = hypot(angular_travel*radius, fabs(linear_travel));
if (millimeters_of_travel == 0.0) { return; }
uint16_t segments = floor(millimeters_of_travel/MM_PER_ARC_SEGMENT);
/*
// Multiply inverse feed_rate to compensate for the fact that this movement is approximated
// by a number of discrete segments. The inverse feed_rate should be correct for the sum of
// all segments.
if (invert_feed_rate) { feed_rate *= segments; }
*/
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 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 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 = 1-0.5*theta_per_segment*theta_per_segment; // Small angle approximation
float sin_T = theta_per_segment;
float arc_target[3];
float sin_Ti;
float cos_Ti;
float r_axisi;
uint16_t i;
int8_t count = 0;
// Initialize the linear axis
arc_target[axis_linear] = position[axis_linear];
for (i = 1; i<segments; i++) { // Increment (segments-1)
if (count < N_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 = cos(i*theta_per_segment);
sin_Ti = sin(i*theta_per_segment);
r_axis0 = -offset[axis_0]*cos_Ti + offset[axis_1]*sin_Ti;
r_axis1 = -offset[axis_0]*sin_Ti - offset[axis_1]*cos_Ti;
count = 0;
}
// Update arc_target location
arc_target[axis_0] = center_axis0 + r_axis0;
arc_target[axis_1] = center_axis1 + r_axis1;
arc_target[axis_linear] += linear_per_segment;
plan_buffer_line(arc_target[X_AXIS], arc_target[Y_AXIS], arc_target[Z_AXIS], target[E_AXIS], feed_rate);
}
// Ensure last segment arrives at target location.
plan_buffer_line(target[X_AXIS], target[Y_AXIS], target[Z_AXIS], target[E_AXIS], feed_rate);
// plan_set_acceleration_manager_enabled(acceleration_manager_was_enabled);
}

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/*
motion_control.h - high level interface for issuing motion commands
Part of Grbl
Copyright (c) 2009-2011 Simen Svale Skogsrud
Copyright (c) 2011 Sungeun K. Jeon
Grbl 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.
Grbl 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 Grbl. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef motion_control_h
#define motion_control_h
// Execute an arc in offset mode format. position == current xyz, target == target xyz,
// offset == offset from current xyz, axis_XXX defines circle plane in tool space, axis_linear is
// the direction of helical travel, radius == circle radius, isclockwise boolean. Used
// for vector transformation direction.
void mc_arc(float *position, float *target, float *offset, unsigned char axis_0, unsigned char axis_1,
unsigned char axis_linear, float feed_rate, float radius, unsigned char isclockwise);
#endif