Updates to some stepper algorithm commenting
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@ -249,7 +249,7 @@ uint8_t protocol_execute_line(char *line)
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break;
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case 'H' : // Perform homing cycle
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if (bit_istrue(settings.flags,BITFLAG_HOMING_ENABLE)) {
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// Only perform homing if Grbl is idle or lost.
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// Only perform homing if Grbl is idle or alarm.
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mc_homing_cycle();
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if (!sys.abort) { protocol_execute_startup(); } // Execute startup scripts after successful homing.
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} else { return(STATUS_SETTING_DISABLED); }
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55
stepper.c
55
stepper.c
@ -29,33 +29,38 @@
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// Some useful constants.
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#define DT_SEGMENT (1.0/(ACCELERATION_TICKS_PER_SECOND*60.0)) // min/segment
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#define RAMP_ACCEL 0
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#define RAMP_CRUISE 1
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#define RAMP_DECEL 2
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// Can't have a high of a cutoff frequency. The 16-bit timer isn't as accurate as it seems.
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// There is a trade between the accuracy of the timer and the smoothness of multi-axis steps.
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//
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// Define AMASS levels and cutoff frequencies. The highest level frequency bin starts at 0Hz and
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// ends at its cutoff frequency. The next lower level frequency bin starts at the next higher cutoff
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// frequency, and so on. The cutoff frequencies for each level must be considered carefully against
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// how much it over-drives the stepper ISR, the accuracy of the 16-bit timer, and the CPU overhead.
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// Level 0 (no AMASS, normal operation) frequency bin starts at the Level 1 cutoff frequency and
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// up to as fast as the CPU allows (over 30kHz in limited testing).
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// NOTE: AMASS uutoff frequency multiplied by ISR overdrive factor must not exceed maximum step frequency.
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// NOTE: Current settings are set to overdrive the ISR to no more than 16kHz, balancing CPU overhead
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// and timer accuracy. Do not alter these settings unless you know what you are doing.
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#define MAX_AMASS_LEVEL 3
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#define AMASS_LEVEL1 (F_CPU/8000)
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#define AMASS_LEVEL2 (F_CPU/4000)
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#define AMASS_LEVEL3 (F_CPU/2000)
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// AMASS_LEVEL0: Normal operation. No AMASS. No upper cutoff frequency.
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#define AMASS_LEVEL1 (F_CPU/8000) // Over-drives ISR (x2). Defined as F_CPU/(Cutoff frequency in Hz)
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#define AMASS_LEVEL2 (F_CPU/4000) // Over-drives ISR (x4)
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#define AMASS_LEVEL3 (F_CPU/2000) // Over-drives ISR (x8)
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// Stores the planner block Bresenham algorithm execution data for the segments in the segment
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// buffer. Normally, this buffer is partially in-use, but, for the worst case scenario, it will
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// never exceed the number of accessible stepper buffer segments (SEGMENT_BUFFER_SIZE-1).
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// NOTE: This data is copied from the prepped planner blocks so that the planner blocks may be
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// discarded when entirely consumed and completed by the segment buffer.
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// discarded when entirely consumed and completed by the segment buffer. Also, AMASS alters this
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// data for its own use.
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typedef struct {
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uint8_t direction_bits;
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uint32_t steps[N_AXIS];
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uint32_t step_event_count;
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} st_block_t;
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static st_block_t st_block_buffer[SEGMENT_BUFFER_SIZE-1];
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// TODO: Directly adjust this parameters to stop motion of individual axes for the homing cycle.
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// But this may require this to be volatile if it is controlled by an interrupt.
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// Primary stepper segment ring buffer. Contains small, short line segments for the stepper
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// algorithm to execute, which are "checked-out" incrementally from the first block in the
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@ -66,25 +71,23 @@ typedef struct {
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uint8_t st_block_index; // Stepper block data index. Uses this information to execute this segment.
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uint16_t cycles_per_tick; // Step distance traveled per ISR tick, aka step rate.
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#ifdef ADAPTIVE_MULTI_AXIS_STEP_SMOOTHING
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uint8_t amass_level;
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uint8_t amass_level; // Indicates AMASS level for the ISR to execute this segment
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#else
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uint8_t prescaler;
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uint8_t prescaler; // Without AMASS, a prescaler is required to adjust for slow timing.
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#endif
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} segment_t;
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static segment_t segment_buffer[SEGMENT_BUFFER_SIZE];
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// Stepper state variable. Contains running data and trapezoid variables.
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// Stepper ISR data struct. Contains the running data for the main stepper ISR.
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typedef struct {
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// Used by the bresenham line algorithm
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uint32_t counter_x, // Counter variables for the bresenham line tracer
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counter_y,
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counter_z;
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#ifdef STEP_PULSE_DELAY
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uint8_t step_bits; // Stores out_bits output to complete the step pulse delay
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#endif
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// Used by the stepper driver interrupt
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uint8_t execute_step; // Flags step execution for each interrupt.
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uint8_t step_pulse_time; // Step pulse reset time after step rise
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uint8_t step_outbits; // The next stepping-bits to be output
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@ -235,9 +238,25 @@ void st_go_idle()
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round-off errors and only requires fast integer counters, meaning low computational overhead
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and maximizing the Arduino's capabilities. However, the downside of the Bresenham algorithm
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is, for certain multi-axis motions, the non-dominant axes may suffer from un-smooth step
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pulse trains, which can lead to strange audible noises or shaking. This is particularly
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noticeable or may cause motion issues at low step frequencies (<1kHz), but usually not at
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higher frequencies.
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pulse trains, or aliasing, which can lead to strange audible noises or shaking. This is
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particularly noticeable or may cause motion issues at low step frequencies (0-5kHz), but
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is usually not a physical problem at higher frequencies, although audible.
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To improve Bresenham multi-axis performance, Grbl uses what we call an Adaptive Multi-Axis
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Step Smoothing (AMASS) algorithm, which does what the name implies. At lower step frequencies,
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AMASS artificially increases the Bresenham resolution without effecting the algorithm's
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innate exactness. AMASS adapts its resolution levels automatically depending on the step
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frequency to be executed, meaning that for even lower step frequencies the step smoothing
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level increases. Algorithmically, AMASS is acheived by a simple bit-shifting of the Bresenham
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step count for each AMASS level. For example, for a Level 1 step smoothing, we bit shift
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the Bresenham step event count, effectively multiplying it by 2, while the axis step counts
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remain the same, and then double the stepper ISR frequency. In effect, we are allowing the
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non-dominant Bresenham axes step in the intermediate ISR tick, while the dominant axis is
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stepping every two ISR ticks, rather than every ISR tick in the traditional sense. At AMASS
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Level 2, we simply bit-shift again, so the non-dominant Bresenham axes can step within any
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of the four ISR ticks, and the dominant axis steps every four ISR ticks. And so on. This,
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in effect, removes the vast majority of the multi-axis aliasing issues with the Bresenham
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algorithm and does not significantly alter Grbl's performance, but in fact, more efficiently
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utilizes unused CPU cycles overall throughout all configurations.
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This interrupt is simple and dumb by design. All the computational heavy-lifting, as in
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determining accelerations, is performed elsewhere. This interrupt pops pre-computed segments,
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defined as constant velocity over n number of steps, from the step segment buffer and then
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