motion control level support for arcs. No gcode yet

This commit is contained in:
Simen Svale Skogsrud 2009-01-29 23:12:06 +01:00
parent 73a357e512
commit 8c18e2659d
3 changed files with 169 additions and 75 deletions

View File

@ -35,18 +35,18 @@
#include "nuts_bolts.h"
#include "stepper.h"
#define MODE_AT_REST 0
#define MODE_LINEAR 1
#define MODE_ARC 2
#define MODE_DWELL 3
#define MODE_HOME 4
#define MC_MODE_AT_REST 0
#define MC_MODE_LINEAR 1
#define MC_MODE_ARC 2
#define MC_MODE_DWELL 3
#define MC_MODE_HOME 4
#define PHASE_HOME_RETURN 0
#define PHASE_HOME_NUDGE 1
#define ONE_MINUTE_OF_MICROSECONDS 60000000
// Parameters when mode is MODE_ARC
// Parameters when mode is MC_MODE_ARC
struct LinearMotionParameters {
int8_t direction[3]; // The direction of travel along each axis (-1, 0 or 1)
uint16_t feed_rate;
@ -58,13 +58,15 @@ struct LinearMotionParameters {
struct ArcMotionParameters {
int8_t angular_direction; // 1 = clockwise, -1 = anticlockwise
uint32_t circle_x, circle_y, target_x, target_y; // current position and target position in the
// local coordinate system of the circle where [0,0] is the
// center of the circle.
int32_t error, x2, y2; // error is always == (circle_x**2 + circle_y**2 - radius**2),
uint32_t x, y, target_x, target_y; // current position and target position in the
// local coordinate system of the arc where [0,0] is the
// center of the arc.
int target_direction_x, target_direction_y; // sign(target_x)*angular_direction precalculated for speed
int32_t error, x2, y2; // error is always == (x**2 + y**2 - radius**2),
// x2 is always 2*x, y2 is always 2*y
uint8_t axis_x, axis_y; // maps the circle axes to stepper axes
int32_t target[3]; // The target position in absolute steps
uint8_t axis_x, axis_y; // maps the arc axes to stepper axes
int32_t target[3]; // The target position in absolute steps
int8_t plane_steppers[3]; // A vector with the steppers of axis_x and axis_y set to 1, the remaining 0
};
/* The whole state of the motion-control-system in one struct. Makes the code a little bit hard to
@ -76,16 +78,16 @@ struct MotionControlState {
int32_t position[3]; // The current position of the tool in absolute steps
int32_t pace; // Microseconds between each update in the current mode
union {
struct LinearMotionParameters linear; // variables used in MODE_LINEAR
struct ArcMotionParameters arc; // variables used in MODE_ARC
uint32_t dwell_milliseconds; // variable used in MODE_DWELL
struct LinearMotionParameters linear; // variables used in MC_MODE_LINEAR
struct ArcMotionParameters arc; // variables used in MC_MODE_ARC
uint32_t dwell_milliseconds; // variable used in MC_MODE_DWELL
};
};
struct MotionControlState state;
uint8_t direction_bits; // The direction bits to be used with any upcoming step-instruction
void set_direction_bits(int8_t *direction);
void set_stepper_directions(int8_t *direction);
inline void step_steppers(uint8_t *enabled);
inline void step_axis(uint8_t axis);
@ -97,15 +99,14 @@ void mc_init()
void mc_dwell(uint32_t milliseconds)
{
st_synchronize();
state.mode = MODE_DWELL;
state.mode = MC_MODE_DWELL;
state.dwell_milliseconds = milliseconds;
state.pace = 1000;
}
void mc_linear_motion(double x, double y, double z, float feed_rate, int invert_feed_rate)
{
state.mode = MODE_LINEAR;
state.mode = MC_MODE_LINEAR;
state.linear.target[X_AXIS] = trunc(x*X_STEPS_PER_MM);
state.linear.target[Y_AXIS] = trunc(y*Y_STEPS_PER_MM);
@ -128,7 +129,7 @@ void mc_linear_motion(double x, double y, double z, float feed_rate, int invert_
}
// Set our direction pins
set_direction_bits(state.linear.direction);
set_stepper_directions(state.linear.direction);
// Calculate the microseconds we need to wait between each step to achieve the desired feed rate
if (invert_feed_rate) {
@ -170,60 +171,90 @@ void perform_linear_motion()
step_steppers(step);
} else {
state.mode = MODE_AT_REST;
state.mode = MC_MODE_AT_REST;
}
}
void mc_arc(double theta, double angular_travel, double radius, uint32_t *target)
{
state.mode = MODE_ARC;
// Calculate the initial position and target position in the local coordinate system of the circle
state.arc.circle_x = round(sin(theta)*radius);
state.arc.circle_y = round(cos(theta)*radius);
state.arc.target_x = trunc(sin(theta+angular_travel)*(radius-0.5));
state.arc.target_y = trunc(cos(theta+angular_travel)*(radius-0.5));
// Prepare an arc. theta == start angle, angular_travel == number of radians to go along the arc,
// positive angular_travel means clockwise, negative means counterclockwise. Radius == the radius of the
// circle in millimeters. axis_1 and axis_2 selects the plane in tool space.
void mc_arc(double theta, double angular_travel, double radius, int axis_1, int axis_2)
{
state.mode = MC_MODE_ARC;
// Determine angular direction (+1 = clockwise, -1 = counterclockwise)
state.arc.angular_direction = sign(angular_travel);
// Calculate the initial position and target position in the local coordinate system of the arc
state.arc.x = round(sin(theta)*radius*X_STEPS_PER_MM);
state.arc.y = round(cos(theta)*radius*X_STEPS_PER_MM);
state.arc.target_x = trunc(sin(theta+angular_travel)*(radius*X_STEPS_PER_MM-0.5));
state.arc.target_y = trunc(cos(theta+angular_travel)*(radius*X_STEPS_PER_MM-0.5));
// Precalculate these values to optimize target detection
state.arc.target_direction_x = sign(state.arc.target_x)*state.arc.angular_direction;
state.arc.target_direction_y = sign(state.arc.target_y)*state.arc.angular_direction;
// The "error" factor is kept up to date so that it is always == (x**2+y**2-radius**2). When error
// <0 we are inside the circle, when it is >0 we are outside of the circle, and when it is 0 we
// are exactly on top of the circle.
state.arc.error = round(pow(state.arc.circle_x,2) + pow(state.arc.circle_y,2) - pow(radius,2));
// <0 we are inside the arc, when it is >0 we are outside of the arc, and when it is 0 we
// are exactly on top of the arc.
state.arc.error = round(pow(state.arc.x,2) + pow(state.arc.y,2) - pow(radius,2));
// Because the error-value moves in steps of (+/-)2x+1 and (+/-)2y+1 we save a couple of multiplications
// by keeping track of the doubles of the circle coordinates at all times.
state.arc.x2 = 2*state.arc.circle_x;
state.arc.y2 = 2*state.arc.circle_y;
// by keeping track of the doubles of the arc coordinates at all times.
state.arc.x2 = 2*state.arc.x;
state.arc.y2 = 2*state.arc.y;
// Set up a vector with the steppers we are going to use tracing the plane of this arc
clear_vector(state.arc.plane_steppers);
state.arc.plane_steppers[axis_1] = 1;
state.arc.plane_steppers[axis_2] = 1;
// And map the local coordinate system of the arc onto the tool axes of the selected plane
state.arc.axis_x = axis_1;
state.arc.axis_y = axis_2;
}
void step_arc_along_x(dx,dy)
void step_arc_along_x(int8_t dx, int8_t dy)
{
uint32_t diagonal_error;
state.arc.circle_x+=dx;
state.arc.x+=dx;
state.arc.error += 1+state.arc.x2*dx;
state.arc.x2 += 2*dx;
diagonal_error = state.arc.error + 1 + state.arc.y2*dy;
if(abs(state.arc.error) < abs(diagonal_error)) {
state.arc.circle_y += dy;
state.arc.y += dy;
state.arc.y2 += 2*dy;
state.arc.error = diagonal_error;
};
step_steppers(state.arc.plane_steppers); // step diagonal
} else {
step_axis(state.arc.axis_x); // step straight
}
}
void step_arc_along_y(dx,dy)
void step_arc_along_y(int8_t dx, int8_t dy)
{
uint32_t diagonal_error;
state.arc.circle_y+=dy;
state.arc.y+=dy;
state.arc.error += 1+state.arc.y2*dy;
state.arc.y2 += 2*dy;
diagonal_error = state.arc.error + 1 + state.arc.x2*dx;
if(abs(state.arc.error) < abs(diagonal_error)) {
state.arc.circle_x += dx;
state.arc.x += dx;
state.arc.x2 += 2*dx;
state.arc.error = diagonal_error;
step_steppers(state.arc.plane_steppers); // step diagonal
} else {
step_axis(state.arc.axis_y); // step straight
}
}
// Map dx and dy which are local to the arc being generated and map them on to the
// selected axes for the current arc.
void map_local_arc_directions_to_stepper_directions(int8_t dx, int8_t dy)
{
int direction[3];
direction[state.arc.axis_x] = dx;
direction[state.arc.axis_y] = dy;
set_stepper_directions(direction);
}
/*
Quandrants of the circle
Quandrants of the arc
\ 7|0 /
\ | /
6 \|/ 1 y+
@ -232,6 +263,7 @@ void step_arc_along_y(dx,dy)
/ | \
x- / 4|3 \ x+ */
// Determine within which quadrant of the circle the provided coordinate falls
int quadrant(uint32_t x,uint32_t y)
{
// determine if the coordinate is in the quadrants 0,3,4 or 7
@ -252,55 +284,108 @@ int quadrant(uint32_t x,uint32_t y)
}
}
int arc_at_target()
{
return((state.arc.x * state.arc.target_direction_y >=
state.arc.target_x * state.arc.target_direction_y) &&
(state.arc.y * state.arc.target_direction_x <=
state.arc.target_y * state.arc.target_direction_x));
}
// Will trace the configured arc until the target is reached
void trace_arc()
{
int q = quadrant(state.arc.x, state.arc.y);
while(!arc_at_target())
{
if (state.arc.angular_direction) {
switch (q) {
case 0:
map_local_arc_directions_to_stepper_directions(1,-1);
while((!arc_at_target()) && state.arc.x>state.arc.y) { step_arc_along_x(1,-1); }
case 1:
map_local_arc_directions_to_stepper_directions(1,-1);
while((!arc_at_target()) && state.arc.y>0) { step_arc_along_y(1,-1); }
case 2:
map_local_arc_directions_to_stepper_directions(-1,-1);
while((!arc_at_target()) && state.arc.y>-state.arc.x) { step_arc_along_y(-1,-1); }
case 3:
map_local_arc_directions_to_stepper_directions(-1,-1);
while((!arc_at_target()) && state.arc.x>0) { step_arc_along_x(-1,-1); }
case 4:
map_local_arc_directions_to_stepper_directions(-1,1);
while((!arc_at_target()) && state.arc.y<state.arc.x) { step_arc_along_x(-1,1); }
case 5:
map_local_arc_directions_to_stepper_directions(-1,1);
while((!arc_at_target()) && state.arc.y<0) { step_arc_along_y(-1,1); }
case 6:
map_local_arc_directions_to_stepper_directions(1,-1);
while((!arc_at_target()) && state.arc.y<-state.arc.x) { step_arc_along_y(1,1); }
case 7:
map_local_arc_directions_to_stepper_directions(1,1);
while((!arc_at_target()) && state.arc.x<0) { step_arc_along_x(1,1); }
}
} else {
switch (q) {
case 7:
map_local_arc_directions_to_stepper_directions(-1,-1);
while((!arc_at_target()) && state.arc.y>-state.arc.x) { step_arc_along_x(-1,-1); }
case 6:
map_local_arc_directions_to_stepper_directions(-1,-1);
while((!arc_at_target()) && state.arc.y>0) { step_arc_along_y(-1,-1); }
case 5:
map_local_arc_directions_to_stepper_directions(1,-1);
while((!arc_at_target()) && state.arc.y>state.arc.x) { step_arc_along_y(1,-1); }
case 4:
map_local_arc_directions_to_stepper_directions(1,-1);
while((!arc_at_target()) && state.arc.x<0) { step_arc_along_x(1,-1); }
case 3:
map_local_arc_directions_to_stepper_directions(1,1);
while((!arc_at_target()) && state.arc.y<-state.arc.x) { step_arc_along_x(1,1); }
case 2:
map_local_arc_directions_to_stepper_directions(1,1);
while((!arc_at_target()) && state.arc.y<0) { step_arc_along_y(1,1); }
case 1:
map_local_arc_directions_to_stepper_directions(-1,1);
while((!arc_at_target()) && state.arc.y<state.arc.x) { step_arc_along_y(-1,1); }
case 0:
map_local_arc_directions_to_stepper_directions(-1,1);
while((!arc_at_target()) && state.arc.x>0) { step_arc_along_x(-1,1); }
}
}
}
}
void perform_arc()
{
int q = quadrant(state.arc.circle_x, state.arc.circle_y);
if (state.arc.angular_direction) {
switch (q) {
case 0: while(state.arc.circle_x>state.arc.circle_y) { step_arc_along_x(1,-1); }
case 1: while(state.arc.circle_y>0) { step_arc_along_y(1,-1); }
case 2: while(state.arc.circle_y>-state.arc.circle_x) { step_arc_along_y(-1,-1); }
case 3: while(state.arc.circle_x>0) { step_arc_along_x(-1,-1); }
case 4: while(state.arc.circle_y<state.arc.circle_x) { step_arc_along_x(-1,1); }
case 5: while(state.arc.circle_y<0) { step_arc_along_y(-1,1); }
case 6: while(state.arc.circle_y<-state.arc.circle_x) { step_arc_along_y(1,1); }
case 7: while(state.arc.circle_x<0) { step_arc_along_x(1,1); }
}
} else {
switch (q) {
case 7: while(state.arc.circle_y>-state.arc.circle_x) { step_arc_along_x(-1,-1); }
case 6: while(state.arc.circle_y>0) { step_arc_along_y(-1,-1); }
case 5: while(state.arc.circle_y>state.arc.circle_x) { step_arc_along_y(1,-1); }
case 4: while(state.arc.circle_x<0) { step_arc_along_x(1,-1); }
case 3: while(state.arc.circle_y<-state.arc.circle_x) { step_arc_along_x(1,1); }
case 2: while(state.arc.circle_y<0) { step_arc_along_y(1,1); }
case 1: while(state.arc.circle_y<state.arc.circle_x) { step_arc_along_y(-1,1); }
case 0: while(state.arc.circle_x>0) { step_arc_along_x(-1,1); }
}
}
trace_arc();
state.mode = MC_MODE_AT_REST;
}
void mc_go_home()
{
state.mode = MODE_HOME;
state.mode = MC_MODE_HOME;
}
void perform_go_home()
{
st_go_home();
st_synchronize();
clear_vector(state.position); // By definition this is location [0, 0, 0]
state.mode = MODE_AT_REST;
state.mode = MC_MODE_AT_REST;
}
void mc_execute() {
st_set_pace(state.pace);
while(state.mode) {
switch(state.mode) {
case MODE_AT_REST: break;
case MODE_DWELL: _delay_ms(state.dwell_milliseconds); state.mode = MODE_AT_REST; break;
case MODE_LINEAR: perform_linear_motion();
case MODE_HOME: perform_go_home();
case MC_MODE_AT_REST: break;
case MC_MODE_DWELL: st_synchronize(); _delay_ms(state.dwell_milliseconds); state.mode = MC_MODE_AT_REST; break;
case MC_MODE_LINEAR: perform_linear_motion();
case MC_MODE_ARC: perform_arc();
case MC_MODE_HOME: perform_go_home();
}
}
}
@ -314,7 +399,7 @@ int mc_status()
// Set the direction pins for the stepper motors according to the provided vector.
// direction is an array of three 8 bit integers representing the direction of
// each motor. The values should be -1 (reverse), 0 or 1 (forward).
void set_direction_bits(int8_t *direction)
void set_stepper_directions(int8_t *direction)
{
/* Sorry about this convoluted code! It uses the fact that bit 7 of each direction
int is set when the direction == -1, but is 0 when direction is forward. This

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@ -32,6 +32,13 @@ void mc_init();
// unless invert_feed_rate is true. Then the feed_rate states the number of seconds for the whole movement.
void mc_linear_motion(double x, double y, double z, float feed_rate, int invert_feed_rate);
// Prepare an arc. theta == start angle, angular_travel == number of radians to go along the arc,
// positive angular_travel means clockwise, negative means counterclockwise. Radius == the radius of the
// circle in millimeters. axis_1 and axis_2 selects the plane in tool space.
// Known issue: This method pretends that all axes uses the same steps/mm as the X axis. Which might
// not be the case ... (To be continued)
void mc_arc(double theta, double angular_travel, double radius, int axis_1, int axis_2);
// Prepare linear motion relative to the current position.
void mc_dwell(uint32_t milliseconds);

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@ -1,6 +1,8 @@
* Implement homing cycle in stepper.c
* Implement limit switch support in stepper.c (use port-triggered interrupts?)
* How to implement st_set_pace? Consider synchronizing when pace is changed
* How on earth am I going to deal with arcs in setups that have different steps/mm on each axis? Must
support elipses?! Oh no.
* Eliminate need for circle_x and circle_y in step_arc_along…
* Use timer interrupts to drive steppers
* Tool table