/*
stepper.c - stepper motor driver: executes motion plans using stepper motors
Part of Grbl
Copyright (c) 2011-2013 Sungeun K. Jeon
Copyright (c) 2009-2011 Simen Svale Skogsrud
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 .
*/
#include
#include "stepper.h"
#include "config.h"
#include "settings.h"
#include "planner.h"
#include "nuts_bolts.h"
// Some useful constants
#define TICKS_PER_MICROSECOND (F_CPU/1000000)
#define RAMP_NOOP_CRUISE 0
#define RAMP_ACCEL 1
#define RAMP_DECEL 2
#define LOAD_NOOP 0
#define LOAD_SEGMENT 1
#define LOAD_BLOCK 2
#define SEGMENT_NOOP 0
#define SEGMENT_END_OF_BLOCK bit(0)
#define SEGMENT_ACCEL bit(1)
#define SEGMENT_DECEL bit(2)
#define MINIMUM_STEPS_PER_SEGMENT 1 // Don't change
#define SEGMENT_BUFFER_SIZE 6
// Stepper state variable. Contains running data and trapezoid variables.
typedef struct {
// Used by the bresenham line algorithm
int32_t counter_x, // Counter variables for the bresenham line tracer
counter_y,
counter_z;
uint8_t segment_steps_remaining; // Steps remaining in line segment motion
// Used by inverse time algorithm to track step rate
int32_t counter_d; // Inverse time distance traveled since last step event
uint32_t delta_d; // Inverse time distance traveled per interrupt tick
uint32_t d_per_tick;
// Used by the stepper driver interrupt
uint8_t execute_step; // Flags step execution for each interrupt.
uint8_t step_pulse_time; // Step pulse reset time after step rise
uint8_t out_bits; // The next stepping-bits to be output
uint8_t load_flag;
uint8_t ramp_count;
uint8_t ramp_type;
} stepper_t;
static stepper_t st;
// Stores stepper common data for executing steps in the segment buffer. Data can change mid-block when the
// planner updates the remaining block velocity profile with a more optimal plan or a feedrate override occurs.
// NOTE: Normally, this buffer is partially in-use, but, for the worst case scenario, it will never exceed
// the number of accessible stepper buffer segments (SEGMENT_BUFFER_SIZE-1).
typedef struct {
int32_t step_events_remaining; // Tracks step event count for the executing planner block
uint32_t d_next; // Scaled distance to next step
uint32_t initial_rate; // Initialized step rate at re/start of a planner block
uint32_t nominal_rate; // The nominal step rate for this block in step_events/minute
uint32_t rate_delta; // The steps/minute to add or subtract when changing speed (must be positive)
uint32_t current_approx_rate; // Tracks the approximate segment rate to predict steps per segment to execute
int32_t decelerate_after; // Tracks when to initiate deceleration according to the planner block
float mm_per_step;
} st_data_t;
static st_data_t segment_data[SEGMENT_BUFFER_SIZE-1];
// Primary stepper segment ring buffer. Contains small, short line segments for the stepper algorithm to execute,
// which are "checked-out" incrementally from the first block in the planner buffer. Once "checked-out", the steps
// in the segments buffer cannot be modified by the planner, where the remaining planner block steps still can.
typedef struct {
uint8_t n_step; // Number of step events to be executed for this segment
uint8_t st_data_index; // Stepper buffer common data index. Uses this information to execute this segment.
uint8_t flag; // Stepper algorithm bit-flag for special execution conditions.
} st_segment_t;
static st_segment_t segment_buffer[SEGMENT_BUFFER_SIZE];
// Step segment ring buffer indices
static volatile uint8_t segment_buffer_tail;
static volatile uint8_t segment_buffer_head;
static uint8_t segment_next_head;
static volatile uint8_t busy; // Used to avoid ISR nesting of the "Stepper Driver Interrupt". Should never occur though.
static plan_block_t *pl_current_block; // A pointer to the planner block currently being traced
static st_segment_t *st_current_segment;
static st_data_t *st_current_data;
// Pointers for the step segment being prepped from the planner buffer. Accessed only by the
// main program. Pointers may be planning segments or planner blocks ahead of what being executed.
static plan_block_t *pl_prep_block; // Pointer to the planner block being prepped
static st_data_t *st_prep_data; // Pointer to the stepper common data being prepped
static uint8_t pl_prep_index; // Index of planner block being prepped
static uint8_t st_data_prep_index; // Index of stepper common data block being prepped
static uint8_t pl_partial_block_flag; // Flag indicating the planner has modified the prepped planner block
/* __________________________
/| |\ _________________ ^
/ | | \ /| |\ |
/ | | \ / | | \ s
/ | | | | | \ p
/ | | | | | \ e
+-----+------------------------+---+--+---------------+----+ e
| BLOCK 1 | BLOCK 2 | d
time ----->
The trapezoid is the shape the speed curve over time. It starts at block->initial_rate, accelerates by block->rate_delta
until reaching cruising speed block->nominal_rate, and/or until step_events_remaining reaches block->decelerate_after
after which it decelerates until the block is completed. The driver uses constant acceleration, which is applied as
+/- block->rate_delta velocity increments by the midpoint rule at each ACCELERATION_TICKS_PER_SECOND.
*/
// Stepper state initialization. Cycle should only start if the st.cycle_start flag is
// enabled. Startup init and limits call this function but shouldn't start the cycle.
void st_wake_up()
{
// Enable steppers by resetting the stepper disable port
if (bit_istrue(settings.flags,BITFLAG_INVERT_ST_ENABLE)) {
STEPPERS_DISABLE_PORT |= (1<> 3);
// Enable stepper driver interrupt
st.execute_step = false;
st.load_flag = LOAD_BLOCK;
TCNT2 = 0; // Clear Timer2
TIMSK2 |= (1<n_step;
// Check if the counters need to be reset for a new planner block
if (st.load_flag == LOAD_BLOCK) {
pl_current_block = plan_get_current_block(); // Should always be there. Stepper buffer handles this.
st_current_data = &segment_data[segment_buffer[segment_buffer_tail].st_data_index]; //st_current_segment->st_data_index];
// Initialize direction bits for block
st.out_bits = pl_current_block->direction_bits ^ settings.invert_mask;
st.execute_step = true; // Set flag to set direction bits upon next ISR tick.
// Initialize Bresenham line counters
st.counter_x = (pl_current_block->step_event_count >> 1);
st.counter_y = st.counter_x;
st.counter_z = st.counter_x;
// Initialize inverse time and step rate counter data
st.counter_d = st_current_data->d_next; // d_next always greater than delta_d.
if (st.delta_d < MINIMUM_STEP_RATE) { st.d_per_tick = MINIMUM_STEP_RATE; }
else { st.d_per_tick = st.delta_d; }
// During feed hold, do not update rate, ramp type, or ramp counters. Keep decelerating.
// if (sys.state == STATE_CYCLE) {
st.delta_d = st_current_data->initial_rate;
st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK/2; // Initialize ramp counter via midpoint rule
st.ramp_type = RAMP_NOOP_CRUISE; // Initialize as no ramp operation. Corrected later if necessary.
// }
}
// Acceleration and cruise handled by ramping. Just check if deceleration needs to begin.
if ( st_current_segment->flag & (SEGMENT_DECEL | SEGMENT_ACCEL) ) {
/* Compute correct ramp count for a ramp change. Upon a switch from acceleration to deceleration,
or vice-versa, the new ramp count must be set to trigger the next acceleration tick equal to
the number of ramp ISR ticks counted since the last acceleration tick. This is ensures the
ramp is executed exactly as the plan dictates. Otherwise, when a ramp begins from a known
rate (nominal/cruise or initial), the ramp count must be set to ISR_TICKS_PER_ACCELERATION_TICK/2
as mandated by the mid-point rule. For these conditions, the ramp count have been initialized
such that the following computation is still correct. */
st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK-st.ramp_count;
if ( st_current_segment->flag & SEGMENT_DECEL ) { st.ramp_type = RAMP_DECEL; }
else { st.ramp_type = RAMP_ACCEL; }
}
st.load_flag = LOAD_NOOP; // Segment motion loaded. Set no-operation flag to skip during execution.
} else {
// Can't discard planner block here if a feed hold stops in middle of block.
st_go_idle();
bit_true(sys.execute,EXEC_CYCLE_STOP); // Flag main program for cycle end
return; // Nothing to do but exit.
}
}
// Adjust inverse time counter for ac/de-celerations
// NOTE: Accelerations are handled by the stepper algorithm as it's thought to be more computationally
// efficient on the Arduino AVR. This could may not be true with higher ISR frequencies or faster CPUs.
if (st.ramp_type) { // Ignored when ramp type is NOOP_CRUISE
st.ramp_count--; // Tick acceleration ramp counter
if (st.ramp_count == 0) { // Adjust step rate when its time
if (st.ramp_type == RAMP_ACCEL) { // Adjust velocity for acceleration
st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK; // Reload ramp counter
st.delta_d += st_current_data->rate_delta;
if (st.delta_d >= st_current_data->nominal_rate) { // Reached nominal rate.
st.delta_d = st_current_data->nominal_rate; // Set cruising velocity
st.ramp_type = RAMP_NOOP_CRUISE; // Set ramp flag to cruising
st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK/2; // Re-initialize counter for next ramp.
}
} else { // Adjust velocity for deceleration.
st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK; // Reload ramp counter
if (st.delta_d > st_current_data->rate_delta) {
st.delta_d -= st_current_data->rate_delta;
} else { // Moving near zero feed rate. Gracefully slow down.
st.delta_d >>= 1; // Integer divide by 2 until complete. Also prevents overflow.
// TODO: Check for and handle feed hold exit? At this point, machine is stopped.
// - Set system flag to recompute plan and reset segment buffer.
// - Segment steps in buffer needs to be returned to planner correctly.
// busy = false;
// return;
}
}
// Finalize adjusted step rate. Ensure minimum.
if (st.delta_d < MINIMUM_STEP_RATE) { st.d_per_tick = MINIMUM_STEP_RATE; }
else { st.d_per_tick = st.delta_d; }
}
}
// Iterate inverse time counter. Triggers each Bresenham step event.
st.counter_d -= st.d_per_tick;
// Execute Bresenham step event, when it's time to do so.
if (st.counter_d < 0) {
st.counter_d += st_current_data->d_next; // Reload inverse time counter
st.out_bits = pl_current_block->direction_bits; // Reset out_bits and reload direction bits
st.execute_step = true;
// Execute step displacement profile by Bresenham line algorithm
st.counter_x -= pl_current_block->steps[X_AXIS];
if (st.counter_x < 0) {
st.out_bits |= (1<step_event_count;
// st.steps_x++;
if (st.out_bits & (1<steps[Y_AXIS];
if (st.counter_y < 0) {
st.out_bits |= (1<step_event_count;
// st.steps_y++;
if (st.out_bits & (1<steps[Z_AXIS];
if (st.counter_z < 0) {
st.out_bits |= (1<step_event_count;
// st.steps_z++;
if (st.out_bits & (1< 0) {
if (st.out_bits & (1< 0) {
if (st.out_bits & (1< 0) {
if (st.out_bits & (1<flag & SEGMENT_END_OF_BLOCK) {
plan_discard_current_block();
st.load_flag = LOAD_BLOCK;
} else {
st.load_flag = LOAD_SEGMENT;
}
// Discard current segment by advancing buffer tail index
if ( ++segment_buffer_tail == SEGMENT_BUFFER_SIZE) { segment_buffer_tail = 0; }
}
st.out_bits ^= settings.invert_mask; // Apply step port invert mask
}
busy = false;
// SPINDLE_ENABLE_PORT ^= 1<step_events_remaining);
// st.ramp_type = RAMP_ACCEL;
// st.ramp_count = ISR_TICKS_PER_ACCELERATION_TICK/2;
// st.delta_d = 0;
// sys.state = STATE_QUEUED;
// } else {
// sys.state = STATE_IDLE;
// }
sys.state = STATE_IDLE;
}
/* Prepares step segment buffer. Continuously called from main program.
The segment buffer is an intermediary buffer interface between the execution of steps
by the stepper algorithm and the velocity profiles generated by the planner. The stepper
algorithm only executes steps within the segment buffer and is filled by the main program
when steps are "checked-out" from the first block in the planner buffer. This keeps the
step execution and planning optimization processes atomic and protected from each other.
The number of steps "checked-out" from the planner buffer and the number of segments in
the segment buffer is sized and computed such that no operation in the main program takes
longer than the time it takes the stepper algorithm to empty it before refilling it.
Currently, the segment buffer conservatively holds roughly up to 40-60 msec of steps.
NOTE: The segment buffer executes a set number of steps over an approximate time period.
If we try to execute over a set time period, it is difficult to guarantee or predict how
many steps will execute over it, especially when the step pulse phasing between the
neighboring segments are kept consistent. Meaning that, if the last segment step pulses
right before its end, the next segment must delay its first pulse so that the step pulses
are consistently spaced apart over time to keep the step pulse train nice and smooth.
Keeping track of phasing and ensuring that the exact number of steps are executed as
defined by the planner block, the related computational overhead gets quickly and
prohibitively expensive, especially in real-time.
Since the stepper algorithm automatically takes care of the step pulse phasing with
its ramp and inverse time counters, we don't have to explicitly and expensively track the
exact number of steps, time, or phasing of steps. All we need to do is approximate
the number of steps in each segment such that the segment buffer has enough execution time
for the main program to do what it needs to do and refill it when it has time. In other
words, we just need to compute a cheap approximation of the current velocity and the
number of steps over it.
*/
/*
TODO: Figure out how to enforce a deceleration when a feedrate override is reduced.
The problem is that when an override is reduced, the planner may not plan back to
the current rate. Meaning that the velocity profiles for certain conditions no longer
are trapezoidal or triangular. For example, if the current block is cruising at a
nominal rate and the feedrate override is reduced, the new nominal rate will now be
lower. The velocity profile must first decelerate to the new nominal rate and then
follow on the new plan. So the remaining velocity profile will have a decelerate,
cruise, and another decelerate.
Another issue is whether or not a feedrate override reduction causes a deceleration
that acts over several planner blocks. For example, say that the plan is already
heavily decelerating throughout it, reducing the feedrate will not do much to it. So,
how do we determine when to resume the new plan? How many blocks do we have to wait
until the new plan intersects with the deceleration curve? One plus though, the
deceleration will never be more than the number of blocks in the entire planner buffer,
but it theoretically can be equal to it when all planner blocks are decelerating already.
*/
void st_prep_buffer()
{
while (segment_buffer_tail != segment_next_head) { // Check if we need to fill the buffer.
// Initialize new segment
st_segment_t *prep_segment = &segment_buffer[segment_buffer_head];
prep_segment->flag = SEGMENT_NOOP;
// Determine if we need to load a new planner block.
if (pl_prep_block == NULL) {
pl_prep_block = plan_get_block_by_index(pl_prep_index); // Query planner for a queued block
if (pl_prep_block == NULL) { return; } // No planner blocks. Exit.
// Increment stepper common data index
if ( ++st_data_prep_index == (SEGMENT_BUFFER_SIZE-1) ) { st_data_prep_index = 0; }
// Check if the planner has re-computed this block mid-execution. If so, push the previous segment
// data. Otherwise, prepare a new segment data for the new planner block.
if (pl_partial_block_flag) {
// Prepare new shared segment block data and copy the relevant last segment block data.
st_data_t *last_st_prep_data;
last_st_prep_data = st_prep_data;
st_prep_data = &segment_data[st_data_prep_index];
st_prep_data->step_events_remaining = last_st_prep_data->step_events_remaining;
st_prep_data->rate_delta = last_st_prep_data->rate_delta;
st_prep_data->d_next = last_st_prep_data->d_next;
st_prep_data->nominal_rate = last_st_prep_data->nominal_rate; // TODO: Feedrate overrides recomputes this.
st_prep_data->mm_per_step = last_st_prep_data->mm_per_step;
pl_partial_block_flag = false; // Reset flag
} else {
// Prepare commonly shared planner block data for the ensuing segment buffer moves ad-hoc, since
// the planner buffer can dynamically change the velocity profile data as blocks are added.
st_prep_data = &segment_data[st_data_prep_index];
// Initialize Bresenham variables
st_prep_data->step_events_remaining = pl_prep_block->step_event_count;
// Convert planner block velocity profile data to stepper rate and step distance data.
st_prep_data->nominal_rate = ceil(sqrt(pl_prep_block->nominal_speed_sqr)*(INV_TIME_MULTIPLIER/(60.0*ISR_TICKS_PER_SECOND))); // (mult*mm/isr_tic)
st_prep_data->rate_delta = ceil(pl_prep_block->acceleration*
((INV_TIME_MULTIPLIER/(60.0*60.0))/(ISR_TICKS_PER_SECOND*ACCELERATION_TICKS_PER_SECOND))); // (mult*mm/isr_tic/accel_tic)
st_prep_data->d_next = ceil((pl_prep_block->millimeters*INV_TIME_MULTIPLIER)/pl_prep_block->step_event_count); // (mult*mm/step)
// TODO: Check if we really need to store this.
st_prep_data->mm_per_step = pl_prep_block->millimeters/pl_prep_block->step_event_count;
}
// Convert planner entry speed to stepper initial rate.
st_prep_data->initial_rate = ceil(sqrt(pl_prep_block->entry_speed_sqr)*(INV_TIME_MULTIPLIER/(60.0*ISR_TICKS_PER_SECOND))); // (mult*mm/isr_tic)
// TODO: Nominal rate changes with feedrate override.
// st_prep_data->nominal_rate = ceil(sqrt(pl_prep_block->nominal_speed_sqr)*(INV_TIME_MULTIPLIER/(60.0*ISR_TICKS_PER_SECOND))); // (mult*mm/isr_tic)
st_prep_data->current_approx_rate = st_prep_data->initial_rate;
// Calculate the planner block velocity profile type, determine deceleration point, and initial ramp.
float mm_decelerate_after = plan_calculate_velocity_profile(pl_prep_index);
st_prep_data->decelerate_after = ceil( mm_decelerate_after/st_prep_data->mm_per_step );
if (st_prep_data->decelerate_after > 0) { // If 0, SEGMENT_DECEL flag is set later.
if (st_prep_data->initial_rate != st_prep_data->nominal_rate) { prep_segment->flag = SEGMENT_ACCEL; }
}
}
// Set new segment to point to the current segment data block.
prep_segment->st_data_index = st_data_prep_index;
// Approximate the velocity over the new segment using the already computed rate values.
// NOTE: This assumes that each segment will have an execution time roughly equal to every ACCELERATION_TICK.
// We do this to minimize memory and computational requirements. However, this could easily be replaced with
// a more exact approximation or have a unique time per segment, if CPU and memory overhead allows.
if (st_prep_data->decelerate_after <= 0) {
if (st_prep_data->decelerate_after == 0) { prep_segment->flag = SEGMENT_DECEL; }
else { st_prep_data->current_approx_rate -= st_prep_data->rate_delta; }
if (st_prep_data->current_approx_rate < st_prep_data->rate_delta) { st_prep_data->current_approx_rate >>= 1; }
} else {
if (st_prep_data->current_approx_rate < st_prep_data->nominal_rate) {
st_prep_data->current_approx_rate += st_prep_data->rate_delta;
if (st_prep_data->current_approx_rate > st_prep_data->nominal_rate) {
st_prep_data->current_approx_rate = st_prep_data->nominal_rate;
}
}
}
// Compute the number of steps in the prepped segment based on the approximate current rate.
// NOTE: The d_next divide cancels out the INV_TIME_MULTIPLIER and converts the rate value to steps.
prep_segment->n_step = ceil(max(MINIMUM_STEP_RATE,st_prep_data->current_approx_rate)*
(ISR_TICKS_PER_SECOND/ACCELERATION_TICKS_PER_SECOND)/st_prep_data->d_next);
// NOTE: Ensures it moves for very slow motions, but MINIMUM_STEP_RATE should always set this too. Perhaps
// a compile-time check to see if MINIMUM_STEP_RATE is set high enough is all that is needed.
prep_segment->n_step = max(prep_segment->n_step,MINIMUM_STEPS_PER_SEGMENT);
// NOTE: As long as the ACCELERATION_TICKS_PER_SECOND is valid, n_step should never exceed 255 and overflow.
// prep_segment->n_step = min(prep_segment->n_step,MAXIMUM_STEPS_PER_BLOCK); // Prevent unsigned int8 overflow.
// Check if n_step exceeds steps remaining in planner block. If so, truncate.
if (prep_segment->n_step > st_prep_data->step_events_remaining) {
prep_segment->n_step = st_prep_data->step_events_remaining;
}
// Check if n_step crosses decelerate point in block. If so, truncate to ensure the deceleration
// ramp counters are set correctly during execution.
if (st_prep_data->decelerate_after > 0) {
if (prep_segment->n_step > st_prep_data->decelerate_after) {
prep_segment->n_step = st_prep_data->decelerate_after;
}
}
// Update stepper common data variables.
st_prep_data->decelerate_after -= prep_segment->n_step;
st_prep_data->step_events_remaining -= prep_segment->n_step;
// Check for end of planner block
if ( st_prep_data->step_events_remaining == 0 ) {
// Set EOB bitflag so stepper algorithm discards the planner block after this segment completes.
prep_segment->flag |= SEGMENT_END_OF_BLOCK;
// Move planner pointer to next block and flag to load a new block for the next segment.
pl_prep_index = plan_next_block_index(pl_prep_index);
pl_prep_block = NULL;
}
// New step segment completed. Increment segment buffer indices.
segment_buffer_head = segment_next_head;
if ( ++segment_next_head == SEGMENT_BUFFER_SIZE ) { segment_next_head = 0; }
// long a = prep_segment->n_step;
// printInteger(a);
// printString(" ");
}
}
uint8_t st_get_prep_block_index()
{
// Returns only the index but doesn't state if the block has been partially executed. How do we simply check for this?
return(pl_prep_index);
}
void st_fetch_partial_block_parameters(uint8_t block_index, float *millimeters_remaining, uint8_t *is_decelerating)
{
// if called, can we assume that this always changes and needs to be updated? if so, then
// we can perform all of the segment buffer setup tasks here to make sure the next time
// the segments are loaded, the st_data buffer is updated correctly.
// !!! Make sure that this is always pointing to the correct st_prep_data block.
// When a mid-block acceleration occurs, we have to make sure the ramp counters are updated
// correctly, much in the same fashion as the deceleration counters. Need to think about this
// make sure this is right, but i'm pretty sure it is.
// TODO: NULL means that the segment buffer has just completed a planner block. Clean up!
if (pl_prep_block != NULL) {
*millimeters_remaining = st_prep_data->step_events_remaining*st_prep_data->mm_per_step;
if (st_prep_data->decelerate_after > 0) { *is_decelerating = false; }
else { *is_decelerating = true; }
// Flag for new prep_block when st_prep_buffer() is called after the planner recomputes.
pl_partial_block_flag = true;
pl_prep_block = NULL;
}
return;
}