Update stepper.cpp Bresenham for 2.0.x parity
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@@ -100,6 +100,13 @@ bool Stepper::abort_current_block;
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bool Stepper::locked_z_motor = false, Stepper::locked_z2_motor = false;
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#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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Stepper::counter_Y = 0,
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Stepper::counter_Z = 0,
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@@ -369,8 +376,8 @@ void Stepper::set_directions() {
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#if ENABLED(S_CURVE_ACCELERATION)
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/**
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* We are using a quintic (fifth-degree) Bézier polynomial for the velocity curve.
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* This gives us a "linear pop" velocity curve; with pop being the sixth derivative of position:
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* This uses a quintic (fifth-degree) Bézier polynomial for the velocity curve, giving
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* a "linear pop" velocity curve; with pop being the sixth derivative of position:
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* velocity - 1st, acceleration - 2nd, jerk - 3rd, snap - 4th, crackle - 5th, pop - 6th
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*
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* The Bézier curve takes the form:
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@@ -444,7 +451,7 @@ void Stepper::set_directions() {
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*
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* For Any 32bit CPU:
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*
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* At the start of each trapezoid, we calculate the coefficients A,B,C,F and Advance [AV], as follows:
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* At the start of each trapezoid, calculate the coefficients A,B,C,F and Advance [AV], as follows:
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*
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* A = 6*128*(VF - VI) = 768*(VF - VI)
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* B = 15*128*(VI - VF) = 1920*(VI - VF)
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@@ -452,7 +459,7 @@ void Stepper::set_directions() {
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* F = 128*VI = 128*VI
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* AV = (1<<32)/TS ~= 0xFFFFFFFF / TS (To use ARM UDIV, that is 32 bits) (this is computed at the planner, to offload expensive calculations from the ISR)
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*
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* And for each point, we will evaluate the curve with the following sequence:
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* And for each point, evaluate the curve with the following sequence:
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*
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* void lsrs(uint32_t& d, uint32_t s, int cnt) {
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* d = s >> cnt;
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@@ -505,10 +512,10 @@ void Stepper::set_directions() {
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* return alo;
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* }
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*
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* This will be rewritten in ARM assembly to get peak performance and will take 43 cycles to execute
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* This is rewritten in ARM assembly for optimal performance (43 cycles to execute).
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*
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* For AVR, we scale precision of coefficients to make it possible to evaluate the Bézier curve in
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* realtime: Let's reduce precision as much as possible. After some experimentation we found that:
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* For AVR, the precision of coefficients is scaled so the Bézier curve can be evaluated in real-time:
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* Let's reduce precision as much as possible. After some experimentation we found that:
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*
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* Assume t and AV with 24 bits is enough
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* A = 6*(VF - VI)
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@@ -529,7 +536,7 @@ void Stepper::set_directions() {
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* C: signed Q24 , range = 250000 *10 = 2500000 = 0x1312D0 | 21 bits
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* F: signed Q24 , range = 250000 = 250000 = 0x0ED090 | 20 bits
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*
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* And for each curve, we estimate its coefficients with:
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* And for each curve, estimate its coefficients with:
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*
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* void _calc_bezier_curve_coeffs(int32_t v0, int32_t v1, uint32_t av) {
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* // Calculate the Bézier coefficients
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@@ -548,7 +555,7 @@ void Stepper::set_directions() {
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* bezier_F = v0;
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* }
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*
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* And for each point, we will evaluate the curve with the following sequence:
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* And for each point, evaluate the curve with the following sequence:
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*
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* // unsigned multiplication of 24 bits x 24bits, return upper 16 bits
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* void umul24x24to16hi(uint16_t& r, uint24_t op1, uint24_t op2) {
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@@ -598,9 +605,8 @@ void Stepper::set_directions() {
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* }
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* return acc;
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* }
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* Those functions will be translated into assembler to get peak performance. coefficient calculations takes 70 cycles,
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* Bezier point evaluation takes 150 cycles
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*
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* These functions are translated to assembler for optimal performance.
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* Coefficient calculation takes 70 cycles. Bezier point evaluation takes 150 cycles.
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*/
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// For AVR we use assembly to maximize speed
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@@ -1258,12 +1264,12 @@ 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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#define PULSE_START(AXIS) do{ \
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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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// 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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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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count_position[_AXIS(AXIS)] += count_direction[_AXIS(AXIS)]; \
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} \
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@@ -1351,7 +1357,7 @@ void Stepper::stepper_pulse_phase_isr() {
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#if ENABLED(LIN_ADVANCE)
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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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// Don't step E here for mixing extruder
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motor_direction(E_AXIS) ? --e_steps : ++e_steps;
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@@ -1363,7 +1369,7 @@ void Stepper::stepper_pulse_phase_isr() {
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const bool dir = motor_direction(E_AXIS);
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MIXING_STEPPERS_LOOP(j) {
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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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dir ? --e_steps[j] : ++e_steps[j];
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}
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@@ -1380,7 +1386,7 @@ void Stepper::stepper_pulse_phase_isr() {
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// Step mixing steppers (proportionally)
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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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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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#else // !MIXING_EXTRUDER
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PULSE_START(E);
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@@ -1420,7 +1426,7 @@ void Stepper::stepper_pulse_phase_isr() {
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#if DISABLED(LIN_ADVANCE)
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#if ENABLED(MIXING_EXTRUDER)
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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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En_STEP_WRITE(j, INVERT_E_STEP_PIN);
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}
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@@ -1702,11 +1708,11 @@ uint32_t Stepper::stepper_block_phase_isr() {
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bezier_2nd_half = false;
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#endif
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// Initialize Bresenham counters to 1/2 the ceiling
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counter_X = counter_Y = counter_Z = counter_E = -((int32_t)(current_block->step_event_count >> 1));
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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) + (current_block->step_event_count & 1));
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#if ENABLED(MIXING_EXTRUDER)
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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) + (current_block->mix_event_count[i] & 1));
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#endif
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#if ENABLED(Z_LATE_ENABLE)
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