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G2/G3: Fix Z/helix planning on UBL #26170

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Aug 21, 2023
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130 changes: 64 additions & 66 deletions Marlin/src/gcode/motion/G2_G3.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -82,14 +82,17 @@ void plan_arc(
rt_X = cart[axis_p] - center_P,
rt_Y = cart[axis_q] - center_Q;

ARC_LIJKUVW_CODE(
const float start_L = current_position[axis_l],
const float start_I = current_position.i,
const float start_J = current_position.j,
const float start_K = current_position.k,
const float start_U = current_position.u,
const float start_V = current_position.v,
const float start_W = current_position.w
// Starting position of the move for all non-arc axes
// i.e., only one of X, Y, or Z, plus the rest.
ARC_LIJKUVWE_CODE(
float start_L = current_position[axis_l],
float start_I = current_position.i,
float start_J = current_position.j,
float start_K = current_position.k,
float start_U = current_position.u,
float start_V = current_position.v,
float start_W = current_position.w,
float start_E = current_position.e
);

// Angle of rotation between position and target from the circle center.
Expand Down Expand Up @@ -125,6 +128,7 @@ void plan_arc(
min_segments = CEIL((MIN_CIRCLE_SEGMENTS) * portion_of_circle); // Minimum segments for the arc
}

// Total travel on all the non-arc axes
ARC_LIJKUVWE_CODE(
float travel_L = cart[axis_l] - start_L,
float travel_I = cart.i - start_I,
Expand All @@ -133,7 +137,7 @@ void plan_arc(
float travel_U = cart.u - start_U,
float travel_V = cart.v - start_V,
float travel_W = cart.w - start_W,
float travel_E = cart.e - current_position.e
float travel_E = cart.e - start_E
);

// If "P" specified circles, call plan_arc recursively then continue with the rest of the arc
Expand Down Expand Up @@ -166,15 +170,29 @@ void plan_arc(
);
plan_arc(temp_position, offset, clockwise, 0); // Plan a single whole circle
}

// Get starting coordinates for the remainder from the current position
ARC_LIJKUVWE_CODE(
start_L = current_position[axis_l],
start_I = current_position.i,
start_J = current_position.j,
start_K = current_position.k,
start_U = current_position.u,
start_V = current_position.v,
start_W = current_position.w,
start_E = current_position.e
);

// Update travel distance for the remainder
ARC_LIJKUVWE_CODE(
travel_L = cart[axis_l] - current_position[axis_l], // Linear X, Y, or Z
travel_I = cart.i - current_position.i, // The rest are also non-arc
travel_J = cart.j - current_position.j,
travel_K = cart.k - current_position.k,
travel_U = cart.u - current_position.u,
travel_V = cart.v - current_position.v,
travel_W = cart.w - current_position.w,
travel_E = cart.e - current_position.e
travel_L = cart[axis_l] - start_L, // Linear X, Y, or Z
travel_I = cart.i - start_I, // The rest are also non-arc
travel_J = cart.j - start_J,
travel_K = cart.k - start_K,
travel_U = cart.u - start_U,
travel_V = cart.v - start_V,
travel_W = cart.w - start_W,
travel_E = cart.e - start_E
);
}

Expand Down Expand Up @@ -256,38 +274,35 @@ void plan_arc(

xyze_pos_t raw;

// do not calculate rotation parameters for trivial single-segment arcs
// Don't calculate rotation parameters for trivial single-segment arcs
if (segments > 1) {
// Vector rotation matrix values
const float theta_per_segment = angular_travel / segments,
sq_theta_per_segment = sq(theta_per_segment),
sin_T = theta_per_segment - sq_theta_per_segment * theta_per_segment / 6,
cos_T = 1 - 0.5f * sq_theta_per_segment; // Small angle approximation

#if DISABLED(AUTO_BED_LEVELING_UBL)
ARC_LIJKUVW_CODE(
const float per_segment_L = travel_L / segments,
const float per_segment_I = travel_I / segments,
const float per_segment_J = travel_J / segments,
const float per_segment_K = travel_K / segments,
const float per_segment_U = travel_U / segments,
const float per_segment_V = travel_V / segments,
const float per_segment_W = travel_W / segments
);
#endif

CODE_ITEM_E(const float extruder_per_segment = travel_E / segments);
ARC_LIJKUVWE_CODE(
const float per_segment_L = travel_L / segments,
const float per_segment_I = travel_I / segments,
const float per_segment_J = travel_J / segments,
const float per_segment_K = travel_K / segments,
const float per_segment_U = travel_U / segments,
const float per_segment_V = travel_V / segments,
const float per_segment_W = travel_W / segments,
const float per_segment_E = travel_E / segments
);

// Initialize all linear axes and E
ARC_LIJKUVWE_CODE(
raw[axis_l] = current_position[axis_l],
raw.i = current_position.i,
raw.j = current_position.j,
raw.k = current_position.k,
raw.u = current_position.u,
raw.v = current_position.v,
raw.w = current_position.w,
raw.e = current_position.e
raw[axis_l] = start_L,
raw.i = start_I,
raw.j = start_J,
raw.k = start_K,
raw.u = start_U,
raw.v = start_V,
raw.w = start_W,
raw.e = start_E
);

millis_t next_idle_ms = millis() + 200UL;
Expand All @@ -305,7 +320,6 @@ void plan_arc(
const float limiting_accel = _MIN(planner.settings.max_acceleration_mm_per_s2[axis_p], planner.settings.max_acceleration_mm_per_s2[axis_q]),
limiting_speed = _MIN(planner.settings.max_feedrate_mm_s[axis_p], planner.settings.max_feedrate_mm_s[axis_q]),
limiting_speed_sqr = _MIN(sq(limiting_speed), limiting_accel * radius, sq(scaled_fr_mm_s));
float arc_mm_remaining = flat_mm;

for (uint16_t i = 1; i < segments; i++) { // Iterate (segments-1) times

Expand Down Expand Up @@ -343,16 +357,14 @@ void plan_arc(
raw[axis_p] = center_P + rvec.a;
raw[axis_q] = center_Q + rvec.b;
ARC_LIJKUVWE_CODE(
#if ENABLED(AUTO_BED_LEVELING_UBL)
raw[axis_l] = start_L,
raw.i = start_I, raw.j = start_J, raw.k = start_K,
raw.u = start_U, raw.v = start_V, raw.w = start_V
#else
raw[axis_l] += per_segment_L,
raw.i += per_segment_I, raw.j += per_segment_J, raw.k += per_segment_K,
raw.u += per_segment_U, raw.v += per_segment_V, raw.w += per_segment_W
#endif
, raw.e += extruder_per_segment
raw[axis_l] = start_L + per_segment_L * i,
raw.i = start_I + per_segment_I * i,
raw.j = start_J + per_segment_J * i,
raw.k = start_K + per_segment_K * i,
raw.u = start_U + per_segment_U * i,
raw.v = start_V + per_segment_V * i,
raw.w = start_W + per_segment_W * i,
raw.e = start_E + per_segment_E * i
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This introduces potentially a lot of extra multiplication –at least two for the most common case– which would be nice to try and avoid. Is multiplication actually more accurate than successive additions?

);

apply_motion_limits(raw);
Expand All @@ -362,7 +374,7 @@ void plan_arc(
#endif

// calculate safe speed for stopping by the end of the arc
arc_mm_remaining -= segment_mm;
const float arc_mm_remaining = flat_mm - segment_mm * i;
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As above, is multiplication actually more accurate than successive subtractions?

hints.safe_exit_speed_sqr = _MIN(limiting_speed_sqr, 2 * limiting_accel * arc_mm_remaining);

if (!planner.buffer_line(raw, scaled_fr_mm_s, active_extruder, hints))
Expand All @@ -374,13 +386,6 @@ void plan_arc(

// Ensure last segment arrives at target location.
raw = cart;
#if ENABLED(AUTO_BED_LEVELING_UBL)
ARC_LIJKUVW_CODE(
raw[axis_l] = start_L,
raw.i = start_I, raw.j = start_J, raw.k = start_K,
raw.u = start_U, raw.v = start_V, raw.w = start_W
);
#endif

apply_motion_limits(raw);

Expand All @@ -392,14 +397,7 @@ void plan_arc(
hints.safe_exit_speed_sqr = 0.0f;
planner.buffer_line(raw, scaled_fr_mm_s, active_extruder, hints);

#if ENABLED(AUTO_BED_LEVELING_UBL)
ARC_LIJKUVW_CODE(
raw[axis_l] = start_L,
raw.i = start_I, raw.j = start_J, raw.k = start_K,
raw.u = start_U, raw.v = start_V, raw.w = start_W
);
#endif
current_position = raw;
current_position = cart;

} // plan_arc

Expand Down
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