Smoother motion by fixing calculating trapezoids and ISR stepping.
Fix rounding directions in calculate_trapezoid_for_block(). Fix off-by-ones errors in ac/deceleration steps in block_phase_isr. Half-initialize ac/deceleration_time to smooth the speed change shock that happens between segments, which is critical as jerk/deviation adds to this. The result is a smoother motion profile that follows the imposed acceleration limits with a well defined 0.5-1.5x error factor (or 2x if axis is starting from ~0). Errors are due to converting a real-valued motion profile into discrete numbers of steps. Fixes are general and improve S_CURVE_ACCELERATION too (no endorsement implied). Tested by looking at the generated step/dir impulses with a logic analyzer. Enjoy the smoother motion or use more aggresive acceleration/jerk/deviation values for faster prints. Also improves: #12491
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@@ -794,12 +794,17 @@ block_t* Planner::get_current_block() {
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*/
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void Planner::calculate_trapezoid_for_block(block_t * const block, const_float_t entry_factor, const_float_t exit_factor) {
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uint32_t initial_rate = CEIL(block->nominal_rate * entry_factor),
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final_rate = CEIL(block->nominal_rate * exit_factor); // (steps per second)
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uint32_t initial_rate = LROUND(block->nominal_rate * entry_factor),
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final_rate = LROUND(block->nominal_rate * exit_factor); // (steps per second)
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// Limit minimal step rate (Otherwise the timer will overflow.)
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// Legacy check against supposed timer overflow. However Stepper::calc_timer_interval() already
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// should protect against it. But removing results in less smooth motion for switching direction
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// moves. This is because the current discrete stepping math diverges from physical motion under
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// constant acceleration when acceleration_steps_per_s2 is large compared to initial/final_rate.
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NOLESS(initial_rate, uint32_t(MINIMAL_STEP_RATE));
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NOLESS(final_rate, uint32_t(MINIMAL_STEP_RATE));
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NOMORE(initial_rate, block->nominal_rate);
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NOMORE(final_rate, block->nominal_rate);
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#if ANY(S_CURVE_ACCELERATION, LIN_ADVANCE)
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// If we have some plateau time, the cruise rate will be the nominal rate
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@@ -807,9 +812,9 @@ void Planner::calculate_trapezoid_for_block(block_t * const block, const_float_t
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#endif
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// Steps for acceleration, plateau and deceleration
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int32_t plateau_steps = block->step_event_count;
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uint32_t accelerate_steps = 0,
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decelerate_steps = 0;
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int32_t plateau_steps = block->step_event_count,
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accelerate_steps = 0,
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decelerate_steps = 0;
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const int32_t accel = block->acceleration_steps_per_s2;
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float inverse_accel = 0.0f;
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@@ -818,10 +823,11 @@ void Planner::calculate_trapezoid_for_block(block_t * const block, const_float_t
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const float half_inverse_accel = 0.5f * inverse_accel,
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nominal_rate_sq = sq(float(block->nominal_rate)),
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// Steps required for acceleration, deceleration to/from nominal rate
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decelerate_steps_float = half_inverse_accel * (nominal_rate_sq - sq(float(final_rate)));
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float accelerate_steps_float = half_inverse_accel * (nominal_rate_sq - sq(float(initial_rate)));
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decelerate_steps_float = half_inverse_accel * (nominal_rate_sq - sq(float(final_rate))),
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accelerate_steps_float = half_inverse_accel * (nominal_rate_sq - sq(float(initial_rate)));
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// Aims to fully reach nominal and final rates
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accelerate_steps = CEIL(accelerate_steps_float);
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decelerate_steps = FLOOR(decelerate_steps_float);
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decelerate_steps = CEIL(decelerate_steps_float);
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// Steps between acceleration and deceleration, if any
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plateau_steps -= accelerate_steps + decelerate_steps;
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@@ -831,13 +837,13 @@ void Planner::calculate_trapezoid_for_block(block_t * const block, const_float_t
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// Calculate accel / braking time in order to reach the final_rate exactly
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// at the end of this block.
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if (plateau_steps < 0) {
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accelerate_steps_float = CEIL((block->step_event_count + accelerate_steps_float - decelerate_steps_float) * 0.5f);
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accelerate_steps = _MIN(uint32_t(_MAX(accelerate_steps_float, 0)), block->step_event_count);
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accelerate_steps = LROUND((block->step_event_count + accelerate_steps_float - decelerate_steps_float) * 0.5f);
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LIMIT(accelerate_steps, 0, int32_t(block->step_event_count));
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decelerate_steps = block->step_event_count - accelerate_steps;
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#if ANY(S_CURVE_ACCELERATION, LIN_ADVANCE)
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// We won't reach the cruising rate. Let's calculate the speed we will reach
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cruise_rate = final_speed(initial_rate, accel, accelerate_steps);
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NOMORE(cruise_rate, final_speed(initial_rate, accel, accelerate_steps));
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#endif
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}
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}
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@@ -193,6 +193,7 @@ bool Stepper::abort_current_block;
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;
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#endif
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// In timer_ticks
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uint32_t Stepper::acceleration_time, Stepper::deceleration_time;
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#if MULTISTEPPING_LIMIT > 1
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@@ -2299,7 +2300,7 @@ hal_timer_t Stepper::block_phase_isr() {
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// Step events not completed yet...
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// Are we in acceleration phase ?
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if (step_events_completed <= accelerate_until) { // Calculate new timer value
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if (step_events_completed < accelerate_until) { // Calculate new timer value
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#if ENABLED(S_CURVE_ACCELERATION)
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// Get the next speed to use (Jerk limited!)
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@@ -2316,6 +2317,7 @@ hal_timer_t Stepper::block_phase_isr() {
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// step_rate to timer interval and steps per stepper isr
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interval = calc_multistep_timer_interval(acc_step_rate << oversampling_factor);
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acceleration_time += interval;
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deceleration_time = 0; // Reset since we're doing acceleration first.
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#if ENABLED(NONLINEAR_EXTRUSION)
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calc_nonlinear_e(acc_step_rate << oversampling_factor);
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@@ -2355,30 +2357,24 @@ hal_timer_t Stepper::block_phase_isr() {
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#endif
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}
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// Are we in Deceleration phase ?
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else if (step_events_completed > decelerate_after) {
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else if (step_events_completed >= decelerate_after) {
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uint32_t step_rate;
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#if ENABLED(S_CURVE_ACCELERATION)
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// If this is the 1st time we process the 2nd half of the trapezoid...
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if (!bezier_2nd_half) {
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// Initialize the Bézier speed curve
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_calc_bezier_curve_coeffs(current_block->cruise_rate, current_block->final_rate, current_block->deceleration_time_inverse);
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bezier_2nd_half = true;
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// The first point starts at cruise rate. Just save evaluation of the Bézier curve
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step_rate = current_block->cruise_rate;
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}
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else {
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// Calculate the next speed to use
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step_rate = deceleration_time < current_block->deceleration_time
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? _eval_bezier_curve(deceleration_time)
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: current_block->final_rate;
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}
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// Calculate the next speed to use
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step_rate = deceleration_time < current_block->deceleration_time
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? _eval_bezier_curve(deceleration_time)
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: current_block->final_rate;
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#else
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// Using the old trapezoidal control
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step_rate = STEP_MULTIPLY(deceleration_time, current_block->acceleration_rate);
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if (step_rate < acc_step_rate) { // Still decelerating?
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if (step_rate < acc_step_rate) {
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step_rate = acc_step_rate - step_rate;
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NOLESS(step_rate, current_block->final_rate);
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}
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@@ -2442,6 +2438,9 @@ hal_timer_t Stepper::block_phase_isr() {
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if (ticks_nominal == 0) {
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// step_rate to timer interval and loops for the nominal speed
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ticks_nominal = calc_multistep_timer_interval(current_block->nominal_rate << oversampling_factor);
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// Prepare for deceleration
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IF_DISABLED(S_CURVE_ACCELERATION, acc_step_rate = current_block->nominal_rate);
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deceleration_time = ticks_nominal / 2;
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#if ENABLED(NONLINEAR_EXTRUSION)
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calc_nonlinear_e(current_block->nominal_rate << oversampling_factor);
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@@ -2640,9 +2639,6 @@ hal_timer_t Stepper::block_phase_isr() {
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);
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axis_did_move = didmove;
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// No acceleration / deceleration time elapsed so far
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acceleration_time = deceleration_time = 0;
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#if ENABLED(ADAPTIVE_STEP_SMOOTHING)
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// Nonlinear Extrusion needs at least 2x oversampling to permit increase of E step rate
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// Otherwise assume no axis smoothing (via oversampling)
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@@ -2783,7 +2779,8 @@ hal_timer_t Stepper::block_phase_isr() {
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// Calculate the initial timer interval
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interval = calc_multistep_timer_interval(current_block->initial_rate << oversampling_factor);
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acceleration_time += interval;
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// Initialize ac/deceleration time as if half the time passed.
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acceleration_time = deceleration_time = interval / 2;
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#if ENABLED(NONLINEAR_EXTRUSION)
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calc_nonlinear_e(current_block->initial_rate << oversampling_factor);
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