Fix Bresenham rounding errors, add link to article (#10871)
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@ -111,6 +111,13 @@ bool Stepper::abort_current_block;
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bool Stepper::locked_z_motor = false, Stepper::locked_z2_motor = false;
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bool Stepper::locked_z_motor = false, Stepper::locked_z2_motor = false;
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#endif
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#endif
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/**
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* Marlin uses the Bresenham algorithm. For a detailed explanation of theory and
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* method see https://www.cs.helsinki.fi/group/goa/mallinnus/lines/bresenh.html
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*
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* The implementation used here additionally rounds up the starting seed.
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*/
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int32_t Stepper::counter_X = 0,
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int32_t Stepper::counter_X = 0,
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Stepper::counter_Y = 0,
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Stepper::counter_Y = 0,
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Stepper::counter_Z = 0,
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Stepper::counter_Z = 0,
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@ -1294,12 +1301,12 @@ void Stepper::stepper_pulse_phase_isr() {
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// Advance the Bresenham counter; start a pulse if the axis needs a step
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// Advance the Bresenham counter; start a pulse if the axis needs a step
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#define PULSE_START(AXIS) do{ \
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#define PULSE_START(AXIS) do{ \
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_COUNTER(AXIS) += current_block->steps[_AXIS(AXIS)]; \
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_COUNTER(AXIS) += current_block->steps[_AXIS(AXIS)]; \
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if (_COUNTER(AXIS) > 0) { _APPLY_STEP(AXIS)(!_INVERT_STEP_PIN(AXIS), 0); } \
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if (_COUNTER(AXIS) >= 0) { _APPLY_STEP(AXIS)(!_INVERT_STEP_PIN(AXIS), 0); } \
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}while(0)
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}while(0)
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// Advance the Bresenham counter; start a pulse if the axis needs a step
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// Advance the Bresenham counter; start a pulse if the axis needs a step
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#define STEP_TICK(AXIS) do { \
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#define STEP_TICK(AXIS) do { \
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if (_COUNTER(AXIS) > 0) { \
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if (_COUNTER(AXIS) >= 0) { \
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_COUNTER(AXIS) -= current_block->step_event_count; \
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_COUNTER(AXIS) -= current_block->step_event_count; \
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count_position[_AXIS(AXIS)] += count_direction[_AXIS(AXIS)]; \
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count_position[_AXIS(AXIS)] += count_direction[_AXIS(AXIS)]; \
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} \
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} \
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@ -1387,7 +1394,7 @@ void Stepper::stepper_pulse_phase_isr() {
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#if ENABLED(LIN_ADVANCE)
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#if ENABLED(LIN_ADVANCE)
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counter_E += current_block->steps[E_AXIS];
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counter_E += current_block->steps[E_AXIS];
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if (counter_E > 0) {
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if (counter_E >= 0) {
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#if DISABLED(MIXING_EXTRUDER)
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#if DISABLED(MIXING_EXTRUDER)
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// Don't step E here for mixing extruder
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// Don't step E here for mixing extruder
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motor_direction(E_AXIS) ? --e_steps : ++e_steps;
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motor_direction(E_AXIS) ? --e_steps : ++e_steps;
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@ -1399,7 +1406,7 @@ void Stepper::stepper_pulse_phase_isr() {
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const bool dir = motor_direction(E_AXIS);
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const bool dir = motor_direction(E_AXIS);
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MIXING_STEPPERS_LOOP(j) {
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MIXING_STEPPERS_LOOP(j) {
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counter_m[j] += current_block->steps[E_AXIS];
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counter_m[j] += current_block->steps[E_AXIS];
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if (counter_m[j] > 0) {
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if (counter_m[j] >= 0) {
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counter_m[j] -= current_block->mix_event_count[j];
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counter_m[j] -= current_block->mix_event_count[j];
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dir ? --e_steps[j] : ++e_steps[j];
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dir ? --e_steps[j] : ++e_steps[j];
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}
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}
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@ -1416,7 +1423,7 @@ void Stepper::stepper_pulse_phase_isr() {
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// Step mixing steppers (proportionally)
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// Step mixing steppers (proportionally)
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counter_m[j] += current_block->steps[E_AXIS];
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counter_m[j] += current_block->steps[E_AXIS];
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// Step when the counter goes over zero
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// Step when the counter goes over zero
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if (counter_m[j] > 0) En_STEP_WRITE(j, !INVERT_E_STEP_PIN);
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if (counter_m[j] >= 0) En_STEP_WRITE(j, !INVERT_E_STEP_PIN);
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}
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}
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#else // !MIXING_EXTRUDER
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#else // !MIXING_EXTRUDER
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PULSE_START(E);
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PULSE_START(E);
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@ -1456,7 +1463,7 @@ void Stepper::stepper_pulse_phase_isr() {
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#if DISABLED(LIN_ADVANCE)
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#if DISABLED(LIN_ADVANCE)
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#if ENABLED(MIXING_EXTRUDER)
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#if ENABLED(MIXING_EXTRUDER)
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MIXING_STEPPERS_LOOP(j) {
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MIXING_STEPPERS_LOOP(j) {
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if (counter_m[j] > 0) {
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if (counter_m[j] >= 0) {
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counter_m[j] -= current_block->mix_event_count[j];
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counter_m[j] -= current_block->mix_event_count[j];
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En_STEP_WRITE(j, INVERT_E_STEP_PIN);
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En_STEP_WRITE(j, INVERT_E_STEP_PIN);
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}
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}
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@ -1738,11 +1745,11 @@ uint32_t Stepper::stepper_block_phase_isr() {
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bezier_2nd_half = false;
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bezier_2nd_half = false;
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#endif
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#endif
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// Initialize Bresenham counters to 1/2 the ceiling
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// Initialize Bresenham counters to 1/2 the ceiling, with proper roundup (as explained in the article linked above)
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counter_X = counter_Y = counter_Z = counter_E = -((int32_t)(current_block->step_event_count >> 1));
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counter_X = counter_Y = counter_Z = counter_E = -int32_t((current_block->step_event_count + 1) >> 1);
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#if ENABLED(MIXING_EXTRUDER)
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#if ENABLED(MIXING_EXTRUDER)
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MIXING_STEPPERS_LOOP(i)
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MIXING_STEPPERS_LOOP(i)
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counter_m[i] = -(current_block->mix_event_count[i] >> 1);
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counter_m[i] = -int32_t((current_block->mix_event_count[i] + 1) >> 1);
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#endif
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#endif
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#if ENABLED(Z_LATE_ENABLE)
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#if ENABLED(Z_LATE_ENABLE)
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